# 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       : 0.019 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(d2_surrealo, axiom, ![X1]:(v2_surreal0(X1)=>![X2]:(v2_surreal0(X2)=>(r2_surrealo(X1,X2)<=>(r1_surrealo(X1,X2)&r1_surrealo(X2,X1))))), file('surrealc/surrealc__t49_surrealc', d2_surrealo)).
fof(t48_surrealc, axiom, ![X1]:(v2_surreal0(X1)=>![X2]:(v2_surreal0(X2)=>(r2_surrealo(X1,X2)=>r2_surrealo(k4_surrealc(X1),k4_surrealc(X2))))), file('surrealc/surrealc__t49_surrealc', t48_surrealc)).
fof(dt_k4_surrealc, axiom, ![X1]:(v2_surreal0(X1)=>v2_surreal0(k4_surrealc(X1))), file('surrealc/surrealc__t49_surrealc', dt_k4_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__t49_surrealc', t10_surrealr)).
fof(rd1_surrealr, axiom, ![X1]:(v2_surreal0(X1)=>k2_surrealr(k2_surrealr(X1))=X1), file('surrealc/surrealc__t49_surrealc', rd1_surrealr)).
fof(fc3_surrealr, axiom, ![X1]:(v2_surreal0(X1)=>v2_surreal0(k2_surrealr(X1))), file('surrealc/surrealc__t49_surrealc', fc3_surrealr)).
fof(t35_surrealc, axiom, ![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__t49_surrealc', t35_surrealc)).
fof(connectedness_r1_surrealo, axiom, ![X1, X2]:((v2_surreal0(X1)&v2_surreal0(X2))=>(r1_surrealo(X1,X2)|r1_surrealo(X2,X1))), file('surrealc/surrealc__t49_surrealc', connectedness_r1_surrealo)).
fof(d9_surrealr, axiom, ![X1]:(v2_surreal0(X1)=>![X2]:(v2_surreal0(X2)=>k10_surrealr(X1,X2)=k8_surrealr(X1,k2_surrealr(X2)))), file('surrealc/surrealc__t49_surrealc', d9_surrealr)).
fof(t40_surrealr, axiom, ![X1]:(v2_surreal0(X1)=>![X2]:(v2_surreal0(X2)=>k2_surrealr(k8_surrealr(X1,X2))=k8_surrealr(k2_surrealr(X1),k2_surrealr(X2)))), file('surrealc/surrealc__t49_surrealc', t40_surrealr)).
fof(t49_surrealc, conjecture, ![X1]:(v2_surreal0(X1)=>![X2]:(v2_surreal0(X2)=>r1_surrealo(k4_surrealc(k10_surrealr(k4_surrealc(X1),k4_surrealc(X2))),k4_surrealc(k10_surrealr(X1,X2))))), file('surrealc/surrealc__t49_surrealc', t49_surrealc)).
fof(dt_k10_surrealr, axiom, ![X1, X2]:((v2_surreal0(X1)&v2_surreal0(X2))=>v2_surreal0(k10_surrealr(X1,X2))), file('surrealc/surrealc__t49_surrealc', dt_k10_surrealr)).
fof(t43_surrealr, axiom, ![X1]:(v2_surreal0(X1)=>![X2]:(v2_surreal0(X2)=>![X3]:(v2_surreal0(X3)=>![X4]:(v2_surreal0(X4)=>((r1_surrealo(X1,X2)&r1_surrealo(X3,X4))=>r1_surrealo(k8_surrealr(X1,X3),k8_surrealr(X2,X4))))))), file('surrealc/surrealc__t49_surrealc', t43_surrealr)).
fof(c_0_13, plain, ![X34, X35]:(((r1_surrealo(X34,X35)|~r2_surrealo(X34,X35)|~v2_surreal0(X35)|~v2_surreal0(X34))&(r1_surrealo(X35,X34)|~r2_surrealo(X34,X35)|~v2_surreal0(X35)|~v2_surreal0(X34)))&(~r1_surrealo(X34,X35)|~r1_surrealo(X35,X34)|r2_surrealo(X34,X35)|~v2_surreal0(X35)|~v2_surreal0(X34))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d2_surrealo])])])])).
fof(c_0_14, plain, ![X53, X54]:(~v2_surreal0(X53)|(~v2_surreal0(X54)|(~r2_surrealo(X53,X54)|r2_surrealo(k4_surrealc(X53),k4_surrealc(X54))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t48_surrealc])])])).
fof(c_0_15, plain, ![X40]:(~v2_surreal0(X40)|v2_surreal0(k4_surrealc(X40))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k4_surrealc])])).
fof(c_0_16, plain, ![X43, X44]:((~r1_surrealo(X43,X44)|r1_surrealo(k2_surrealr(X44),k2_surrealr(X43))|~v2_surreal0(X44)|~v2_surreal0(X43))&(~r1_surrealo(k2_surrealr(X44),k2_surrealr(X43))|r1_surrealo(X43,X44)|~v2_surreal0(X44)|~v2_surreal0(X43))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t10_surrealr])])])])).
fof(c_0_17, plain, ![X42]:(~v2_surreal0(X42)|k2_surrealr(k2_surrealr(X42))=X42), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rd1_surrealr])])).
fof(c_0_18, plain, ![X41]:(~v2_surreal0(X41)|v2_surreal0(k2_surrealr(X41))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc3_surrealr])])).
fof(c_0_19, plain, ![X45, X46]:((~r1_surrealo(k2_surrealr(X46),X45)|~r1_surrealo(X45,X46)|r1_surrealo(k4_surrealc(X45),X46)|~v2_surreal0(X46)|~v2_surreal0(X45))&((r1_surrealo(k2_surrealr(X46),X45)|~r1_surrealo(k4_surrealc(X45),X46)|~v2_surreal0(X46)|~v2_surreal0(X45))&(r1_surrealo(X45,X46)|~r1_surrealo(k4_surrealc(X45),X46)|~v2_surreal0(X46)|~v2_surreal0(X45)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t35_surrealc])])])])).
cnf(c_0_20, plain, (r1_surrealo(X1,X2)|~r2_surrealo(X1,X2)|~v2_surreal0(X2)|~v2_surreal0(X1)), inference(split_conjunct,[status(thm)],[c_0_13])).
cnf(c_0_21, plain, (r2_surrealo(k4_surrealc(X1),k4_surrealc(X2))|~v2_surreal0(X1)|~v2_surreal0(X2)|~r2_surrealo(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_14])).
cnf(c_0_22, plain, (v2_surreal0(k4_surrealc(X1))|~v2_surreal0(X1)), inference(split_conjunct,[status(thm)],[c_0_15])).
cnf(c_0_23, 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_16])).
cnf(c_0_24, plain, (k2_surrealr(k2_surrealr(X1))=X1|~v2_surreal0(X1)), inference(split_conjunct,[status(thm)],[c_0_17])).
cnf(c_0_25, plain, (v2_surreal0(k2_surrealr(X1))|~v2_surreal0(X1)), inference(split_conjunct,[status(thm)],[c_0_18])).
cnf(c_0_26, plain, (r1_surrealo(X1,X2)|~r1_surrealo(k4_surrealc(X1),X2)|~v2_surreal0(X2)|~v2_surreal0(X1)), inference(split_conjunct,[status(thm)],[c_0_19])).
cnf(c_0_27, plain, (r1_surrealo(k4_surrealc(X1),k4_surrealc(X2))|~r2_surrealo(X1,X2)|~v2_surreal0(X2)|~v2_surreal0(X1)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_20, c_0_21]), c_0_22]), c_0_22])).
fof(c_0_28, plain, ![X32, X33]:(~v2_surreal0(X32)|~v2_surreal0(X33)|(r1_surrealo(X32,X33)|r1_surrealo(X33,X32))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[connectedness_r1_surrealo])])).
cnf(c_0_29, 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_23, c_0_24]), c_0_25])).
cnf(c_0_30, plain, (r1_surrealo(X1,k4_surrealc(X2))|~r2_surrealo(X1,X2)|~v2_surreal0(X1)|~v2_surreal0(X2)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_26, c_0_27]), c_0_22])).
fof(c_0_31, plain, ![X36, X37]:(~v2_surreal0(X36)|(~v2_surreal0(X37)|k10_surrealr(X36,X37)=k8_surrealr(X36,k2_surrealr(X37)))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d9_surrealr])])])).
fof(c_0_32, plain, ![X47, X48]:(~v2_surreal0(X47)|(~v2_surreal0(X48)|k2_surrealr(k8_surrealr(X47,X48))=k8_surrealr(k2_surrealr(X47),k2_surrealr(X48)))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t40_surrealr])])])).
fof(c_0_33, negated_conjecture, ~(![X1]:(v2_surreal0(X1)=>![X2]:(v2_surreal0(X2)=>r1_surrealo(k4_surrealc(k10_surrealr(k4_surrealc(X1),k4_surrealc(X2))),k4_surrealc(k10_surrealr(X1,X2)))))), inference(assume_negation,[status(cth)],[t49_surrealc])).
cnf(c_0_34, plain, (r1_surrealo(X1,X2)|r1_surrealo(X2,X1)|~v2_surreal0(X1)|~v2_surreal0(X2)), inference(split_conjunct,[status(thm)],[c_0_28])).
cnf(c_0_35, plain, (r1_surrealo(k2_surrealr(k4_surrealc(X1)),X2)|~r2_surrealo(k2_surrealr(X2),X1)|~v2_surreal0(X2)|~v2_surreal0(X1)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_29, c_0_30]), c_0_25]), c_0_22])).
cnf(c_0_36, 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_23, c_0_24]), c_0_25])).
cnf(c_0_37, 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_16])).
fof(c_0_38, plain, ![X38, X39]:(~v2_surreal0(X38)|~v2_surreal0(X39)|v2_surreal0(k10_surrealr(X38,X39))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k10_surrealr])])).
cnf(c_0_39, plain, (k10_surrealr(X1,X2)=k8_surrealr(X1,k2_surrealr(X2))|~v2_surreal0(X1)|~v2_surreal0(X2)), inference(split_conjunct,[status(thm)],[c_0_31])).
cnf(c_0_40, plain, (k2_surrealr(k8_surrealr(X1,X2))=k8_surrealr(k2_surrealr(X1),k2_surrealr(X2))|~v2_surreal0(X1)|~v2_surreal0(X2)), inference(split_conjunct,[status(thm)],[c_0_32])).
fof(c_0_41, negated_conjecture, (v2_surreal0(esk1_0)&(v2_surreal0(esk2_0)&~r1_surrealo(k4_surrealc(k10_surrealr(k4_surrealc(esk1_0),k4_surrealc(esk2_0))),k4_surrealc(k10_surrealr(esk1_0,esk2_0))))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_33])])])).
fof(c_0_42, plain, ![X49, X50, X51, X52]:(~v2_surreal0(X49)|(~v2_surreal0(X50)|(~v2_surreal0(X51)|(~v2_surreal0(X52)|(~r1_surrealo(X49,X50)|~r1_surrealo(X51,X52)|r1_surrealo(k8_surrealr(X49,X51),k8_surrealr(X50,X52))))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t43_surrealr])])])).
cnf(c_0_43, plain, (r1_surrealo(X1,k4_surrealc(X2))|r1_surrealo(k4_surrealc(X2),X1)|~v2_surreal0(X1)|~v2_surreal0(X2)), inference(spm,[status(thm)],[c_0_34, c_0_22])).
cnf(c_0_44, plain, (r1_surrealo(X1,k4_surrealc(X2))|~r2_surrealo(k2_surrealr(k2_surrealr(X1)),X2)|~v2_surreal0(X1)|~v2_surreal0(X2)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_23, c_0_35]), c_0_25]), c_0_22])).
cnf(c_0_45, plain, (r2_surrealo(X1,X2)|~r1_surrealo(X1,X2)|~r1_surrealo(X2,X1)|~v2_surreal0(X2)|~v2_surreal0(X1)), inference(split_conjunct,[status(thm)],[c_0_13])).
cnf(c_0_46, plain, (r1_surrealo(X1,k2_surrealr(k2_surrealr(X2)))|~r1_surrealo(X1,X2)|~v2_surreal0(X1)|~v2_surreal0(X2)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_36, c_0_37]), c_0_25])).
cnf(c_0_47, plain, (v2_surreal0(k10_surrealr(X1,X2))|~v2_surreal0(X1)|~v2_surreal0(X2)), inference(split_conjunct,[status(thm)],[c_0_38])).
cnf(c_0_48, plain, (k10_surrealr(k2_surrealr(X1),X2)=k2_surrealr(k8_surrealr(X1,X2))|~v2_surreal0(X2)|~v2_surreal0(X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_39, c_0_40]), c_0_25])).
cnf(c_0_49, negated_conjecture, (~r1_surrealo(k4_surrealc(k10_surrealr(k4_surrealc(esk1_0),k4_surrealc(esk2_0))),k4_surrealc(k10_surrealr(esk1_0,esk2_0)))), inference(split_conjunct,[status(thm)],[c_0_41])).
cnf(c_0_50, plain, (r1_surrealo(k8_surrealr(X1,X3),k8_surrealr(X2,X4))|~v2_surreal0(X1)|~v2_surreal0(X2)|~v2_surreal0(X3)|~v2_surreal0(X4)|~r1_surrealo(X1,X2)|~r1_surrealo(X3,X4)), inference(split_conjunct,[status(thm)],[c_0_42])).
cnf(c_0_51, plain, (r1_surrealo(k4_surrealc(X1),k4_surrealc(X2))|r1_surrealo(k4_surrealc(X2),k4_surrealc(X1))|~v2_surreal0(X1)|~v2_surreal0(X2)), inference(spm,[status(thm)],[c_0_43, c_0_22])).
cnf(c_0_52, negated_conjecture, (v2_surreal0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_41])).
cnf(c_0_53, plain, (r1_surrealo(k4_surrealc(X2),X1)|~r1_surrealo(k2_surrealr(X1),X2)|~r1_surrealo(X2,X1)|~v2_surreal0(X1)|~v2_surreal0(X2)), inference(split_conjunct,[status(thm)],[c_0_19])).
cnf(c_0_54, plain, (r1_surrealo(X1,k4_surrealc(X2))|~r1_surrealo(X2,k2_surrealr(k2_surrealr(X1)))|~r1_surrealo(k2_surrealr(k2_surrealr(X1)),X2)|~v2_surreal0(k2_surrealr(k2_surrealr(X1)))|~v2_surreal0(X1)|~v2_surreal0(X2)), inference(spm,[status(thm)],[c_0_44, c_0_45])).
cnf(c_0_55, plain, (r1_surrealo(X1,k2_surrealr(k2_surrealr(X2)))|~r1_surrealo(k4_surrealc(X1),X2)|~v2_surreal0(k2_surrealr(k2_surrealr(X2)))|~v2_surreal0(X1)|~v2_surreal0(X2)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_26, c_0_46]), c_0_22])).
cnf(c_0_56, plain, (v2_surreal0(k2_surrealr(k8_surrealr(X1,X2)))|~v2_surreal0(X2)|~v2_surreal0(X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_47, c_0_48]), c_0_25])).
cnf(c_0_57, plain, (k2_surrealr(k8_surrealr(X1,k2_surrealr(X2)))=k8_surrealr(k2_surrealr(X1),X2)|~v2_surreal0(X1)|~v2_surreal0(X2)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_40, c_0_24]), c_0_25])).
cnf(c_0_58, negated_conjecture, (~r2_surrealo(k10_surrealr(k4_surrealc(esk1_0),k4_surrealc(esk2_0)),k10_surrealr(esk1_0,esk2_0))|~v2_surreal0(k10_surrealr(k4_surrealc(esk1_0),k4_surrealc(esk2_0)))|~v2_surreal0(k10_surrealr(esk1_0,esk2_0))), inference(spm,[status(thm)],[c_0_49, c_0_27])).
cnf(c_0_59, plain, (r1_surrealo(k8_surrealr(X1,X2),k10_surrealr(X3,X4))|~r1_surrealo(X2,k2_surrealr(X4))|~r1_surrealo(X1,X3)|~v2_surreal0(X2)|~v2_surreal0(X3)|~v2_surreal0(X1)|~v2_surreal0(X4)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_50, c_0_39]), c_0_25])).
cnf(c_0_60, negated_conjecture, (r1_surrealo(k4_surrealc(X1),k4_surrealc(esk1_0))|r1_surrealo(k4_surrealc(esk1_0),k4_surrealc(X1))|~v2_surreal0(X1)), inference(spm,[status(thm)],[c_0_51, c_0_52])).
cnf(c_0_61, negated_conjecture, (v2_surreal0(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_41])).
cnf(c_0_62, plain, (r1_surrealo(k2_surrealr(X1),X2)|~r1_surrealo(k4_surrealc(X2),X1)|~v2_surreal0(X1)|~v2_surreal0(X2)), inference(split_conjunct,[status(thm)],[c_0_19])).
cnf(c_0_63, plain, (r1_surrealo(X1,k2_surrealr(k4_surrealc(X2)))|~r1_surrealo(k2_surrealr(k2_surrealr(X1)),X2)|~r1_surrealo(X2,k2_surrealr(X1))|~v2_surreal0(X1)|~v2_surreal0(X2)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_36, c_0_53]), c_0_25]), c_0_22])).
cnf(c_0_64, plain, (r1_surrealo(X1,k4_surrealc(X2))|~r1_surrealo(k2_surrealr(k2_surrealr(X1)),X2)|~v2_surreal0(k2_surrealr(k2_surrealr(X1)))|~v2_surreal0(X1)|~v2_surreal0(X2)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_54, c_0_55]), c_0_43])).
cnf(c_0_65, plain, (k2_surrealr(k8_surrealr(k2_surrealr(X1),X2))=k8_surrealr(X1,k2_surrealr(X2))|~v2_surreal0(X2)|~v2_surreal0(X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_40, c_0_24]), c_0_25])).
cnf(c_0_66, plain, (v2_surreal0(k8_surrealr(k2_surrealr(X1),X2))|~v2_surreal0(X1)|~v2_surreal0(X2)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_56, c_0_57]), c_0_25])).
cnf(c_0_67, negated_conjecture, (~r1_surrealo(k10_surrealr(esk1_0,esk2_0),k10_surrealr(k4_surrealc(esk1_0),k4_surrealc(esk2_0)))|~r1_surrealo(k10_surrealr(k4_surrealc(esk1_0),k4_surrealc(esk2_0)),k10_surrealr(esk1_0,esk2_0))|~v2_surreal0(k10_surrealr(k4_surrealc(esk1_0),k4_surrealc(esk2_0)))|~v2_surreal0(k10_surrealr(esk1_0,esk2_0))), inference(spm,[status(thm)],[c_0_58, c_0_45])).
cnf(c_0_68, plain, (r1_surrealo(k10_surrealr(X1,X2),k10_surrealr(X3,X4))|~r1_surrealo(k2_surrealr(X2),k2_surrealr(X4))|~r1_surrealo(X1,X3)|~v2_surreal0(X3)|~v2_surreal0(X1)|~v2_surreal0(X4)|~v2_surreal0(X2)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_59, c_0_39]), c_0_25])).
cnf(c_0_69, negated_conjecture, (r1_surrealo(k4_surrealc(esk1_0),k4_surrealc(esk1_0))), inference(spm,[status(thm)],[c_0_60, c_0_52])).
cnf(c_0_70, negated_conjecture, (r1_surrealo(k4_surrealc(X1),k4_surrealc(esk2_0))|r1_surrealo(k4_surrealc(esk2_0),k4_surrealc(X1))|~v2_surreal0(X1)), inference(spm,[status(thm)],[c_0_51, c_0_61])).
cnf(c_0_71, plain, (r1_surrealo(k2_surrealr(k4_surrealc(X1)),X2)|~r2_surrealo(X2,X1)|~v2_surreal0(X2)|~v2_surreal0(X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_62, c_0_27]), c_0_22])).
cnf(c_0_72, plain, (r1_surrealo(k4_surrealc(X1),X2)|~r1_surrealo(k2_surrealr(k2_surrealr(k2_surrealr(X2))),X1)|~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_23, c_0_63]), c_0_25]), c_0_22])).
cnf(c_0_73, plain, (r1_surrealo(X1,k4_surrealc(X2))|~r1_surrealo(X1,X2)|~v2_surreal0(X1)|~v2_surreal0(X2)), inference(spm,[status(thm)],[c_0_64, c_0_24])).
cnf(c_0_74, plain, (v2_surreal0(k8_surrealr(X1,k2_surrealr(X2)))|~v2_surreal0(X2)|~v2_surreal0(X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_25, c_0_65]), c_0_66])).
cnf(c_0_75, negated_conjecture, (~r1_surrealo(k10_surrealr(esk1_0,esk2_0),k10_surrealr(k4_surrealc(esk1_0),k4_surrealc(esk2_0)))|~r1_surrealo(k2_surrealr(k4_surrealc(esk2_0)),k2_surrealr(esk2_0))|~r1_surrealo(k4_surrealc(esk1_0),esk1_0)|~v2_surreal0(k10_surrealr(esk1_0,esk2_0))|~v2_surreal0(k4_surrealc(esk1_0))|~v2_surreal0(k4_surrealc(esk2_0))), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67, c_0_68]), c_0_52]), c_0_61])]), c_0_47])).
cnf(c_0_76, negated_conjecture, (r1_surrealo(esk1_0,k4_surrealc(esk1_0))|~v2_surreal0(k4_surrealc(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26, c_0_69]), c_0_52])])).
cnf(c_0_77, negated_conjecture, (r1_surrealo(k4_surrealc(esk2_0),k4_surrealc(esk2_0))), inference(spm,[status(thm)],[c_0_70, c_0_61])).
cnf(c_0_78, plain, (r1_surrealo(X1,k4_surrealc(X2))|~r2_surrealo(k2_surrealr(X1),X2)|~v2_surreal0(X1)|~v2_surreal0(X2)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_23, c_0_71]), c_0_25]), c_0_22])).
cnf(c_0_79, plain, (r1_surrealo(k4_surrealc(X1),X2)|~r1_surrealo(X1,k2_surrealr(k2_surrealr(X2)))|~r1_surrealo(k2_surrealr(X2),X1)|~v2_surreal0(X2)|~v2_surreal0(X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_72, c_0_24]), c_0_25])).
cnf(c_0_80, negated_conjecture, (~r1_surrealo(k4_surrealc(k10_surrealr(k4_surrealc(esk1_0),k4_surrealc(esk2_0))),k10_surrealr(esk1_0,esk2_0))|~v2_surreal0(k4_surrealc(k10_surrealr(k4_surrealc(esk1_0),k4_surrealc(esk2_0))))|~v2_surreal0(k10_surrealr(esk1_0,esk2_0))), inference(spm,[status(thm)],[c_0_49, c_0_73])).
cnf(c_0_81, plain, (r1_surrealo(k2_surrealr(X1),k8_surrealr(X2,k2_surrealr(X3)))|~r1_surrealo(k8_surrealr(k2_surrealr(X2),X3),X1)|~v2_surreal0(X1)|~v2_surreal0(X2)|~v2_surreal0(X3)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_29, c_0_57]), c_0_74])).
cnf(c_0_82, negated_conjecture, (~r1_surrealo(k2_surrealr(k4_surrealc(esk2_0)),k2_surrealr(esk2_0))|~r1_surrealo(k2_surrealr(esk2_0),k2_surrealr(k4_surrealc(esk2_0)))|~r1_surrealo(k4_surrealc(esk1_0),esk1_0)|~v2_surreal0(k10_surrealr(esk1_0,esk2_0))|~v2_surreal0(k4_surrealc(esk1_0))|~v2_surreal0(k4_surrealc(esk2_0))), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75, c_0_68]), c_0_52]), c_0_61])]), c_0_76])).
cnf(c_0_83, negated_conjecture, (r1_surrealo(esk2_0,k4_surrealc(esk2_0))|~v2_surreal0(k4_surrealc(esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26, c_0_77]), c_0_61])])).
cnf(c_0_84, plain, (r1_surrealo(X1,k4_surrealc(X2))|~r1_surrealo(X2,k2_surrealr(X1))|~r1_surrealo(k2_surrealr(X1),X2)|~v2_surreal0(X1)|~v2_surreal0(X2)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_78, c_0_45]), c_0_25])).
cnf(c_0_85, plain, (r1_surrealo(k4_surrealc(X1),k2_surrealr(X2))|~r1_surrealo(X1,k2_surrealr(X2))|~r1_surrealo(X2,X1)|~v2_surreal0(X1)|~v2_surreal0(X2)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_79, c_0_24]), c_0_25])).
cnf(c_0_86, negated_conjecture, (~r1_surrealo(k2_surrealr(k10_surrealr(esk1_0,esk2_0)),k10_surrealr(k4_surrealc(esk1_0),k4_surrealc(esk2_0)))|~r1_surrealo(k10_surrealr(k4_surrealc(esk1_0),k4_surrealc(esk2_0)),k10_surrealr(esk1_0,esk2_0))|~v2_surreal0(k10_surrealr(k4_surrealc(esk1_0),k4_surrealc(esk2_0)))|~v2_surreal0(k10_surrealr(esk1_0,esk2_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_80, c_0_53]), c_0_22])).
cnf(c_0_87, plain, (r1_surrealo(k2_surrealr(X1),k10_surrealr(X2,X3))|~r1_surrealo(k8_surrealr(k2_surrealr(X2),X3),X1)|~v2_surreal0(X1)|~v2_surreal0(X2)|~v2_surreal0(X3)), inference(spm,[status(thm)],[c_0_81, c_0_39])).
cnf(c_0_88, negated_conjecture, (~r1_surrealo(k2_surrealr(esk2_0),k2_surrealr(k4_surrealc(esk2_0)))|~r1_surrealo(k4_surrealc(esk1_0),esk1_0)|~v2_surreal0(k10_surrealr(esk1_0,esk2_0))|~v2_surreal0(k4_surrealc(esk1_0))|~v2_surreal0(k4_surrealc(esk2_0))), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82, c_0_37]), c_0_61])]), c_0_83])).
cnf(c_0_89, plain, (r1_surrealo(X1,k4_surrealc(X2))|~r1_surrealo(X2,k2_surrealr(k4_surrealc(X1)))|~r1_surrealo(k2_surrealr(k4_surrealc(X1)),X2)|~v2_surreal0(X1)|~v2_surreal0(X2)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_26, c_0_84]), c_0_22]), c_0_22])).
cnf(c_0_90, plain, (r1_surrealo(X1,k2_surrealr(k4_surrealc(X2)))|~r1_surrealo(X2,k2_surrealr(X1))|~r1_surrealo(X1,X2)|~v2_surreal0(X1)|~v2_surreal0(X2)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_36, c_0_85]), c_0_22])).
cnf(c_0_91, negated_conjecture, (~r1_surrealo(k8_surrealr(k2_surrealr(k4_surrealc(esk1_0)),k4_surrealc(esk2_0)),k10_surrealr(esk1_0,esk2_0))|~r1_surrealo(k10_surrealr(k4_surrealc(esk1_0),k4_surrealc(esk2_0)),k10_surrealr(esk1_0,esk2_0))|~v2_surreal0(k10_surrealr(esk1_0,esk2_0))|~v2_surreal0(k4_surrealc(esk1_0))|~v2_surreal0(k4_surrealc(esk2_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_86, c_0_87]), c_0_47])).
cnf(c_0_92, negated_conjecture, (r1_surrealo(k2_surrealr(k4_surrealc(esk1_0)),esk1_0)|~v2_surreal0(k4_surrealc(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62, c_0_69]), c_0_52])])).
cnf(c_0_93, negated_conjecture, (~r1_surrealo(k4_surrealc(esk1_0),esk1_0)|~r1_surrealo(k4_surrealc(esk2_0),esk2_0)|~v2_surreal0(k10_surrealr(esk1_0,esk2_0))|~v2_surreal0(k4_surrealc(esk1_0))|~v2_surreal0(k4_surrealc(esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88, c_0_37]), c_0_61])])).
cnf(c_0_94, negated_conjecture, (r1_surrealo(X1,esk1_0)|r1_surrealo(esk1_0,X1)|~v2_surreal0(X1)), inference(spm,[status(thm)],[c_0_34, c_0_52])).
cnf(c_0_95, negated_conjecture, (~r1_surrealo(k2_surrealr(k4_surrealc(k10_surrealr(esk1_0,esk2_0))),k10_surrealr(k4_surrealc(esk1_0),k4_surrealc(esk2_0)))|~r1_surrealo(k10_surrealr(k4_surrealc(esk1_0),k4_surrealc(esk2_0)),k4_surrealc(k10_surrealr(esk1_0,esk2_0)))|~v2_surreal0(k10_surrealr(k4_surrealc(esk1_0),k4_surrealc(esk2_0)))|~v2_surreal0(k4_surrealc(k10_surrealr(esk1_0,esk2_0)))), inference(spm,[status(thm)],[c_0_49, c_0_53])).
cnf(c_0_96, plain, (r1_surrealo(X1,k4_surrealc(X2))|~r1_surrealo(k2_surrealr(k4_surrealc(X1)),X2)|~r1_surrealo(X1,k2_surrealr(X2))|~r1_surrealo(X2,X1)|~v2_surreal0(X1)|~v2_surreal0(X2)), inference(spm,[status(thm)],[c_0_89, c_0_90])).
cnf(c_0_97, plain, (r1_surrealo(k2_surrealr(k4_surrealc(X1)),X2)|~r1_surrealo(k4_surrealc(X2),X1)|~v2_surreal0(X2)|~v2_surreal0(X1)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_62, c_0_73]), c_0_22]), c_0_22])).
cnf(c_0_98, negated_conjecture, (~r1_surrealo(k10_surrealr(k4_surrealc(esk1_0),k4_surrealc(esk2_0)),k10_surrealr(esk1_0,esk2_0))|~r1_surrealo(k4_surrealc(esk2_0),k2_surrealr(esk2_0))|~v2_surreal0(k10_surrealr(esk1_0,esk2_0))|~v2_surreal0(k4_surrealc(esk1_0))|~v2_surreal0(k4_surrealc(esk2_0))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91, c_0_59]), c_0_52]), c_0_61])]), c_0_25]), c_0_92])).
cnf(c_0_99, negated_conjecture, (~r1_surrealo(k4_surrealc(esk1_0),esk1_0)|~r1_surrealo(k4_surrealc(esk2_0),esk2_0)|~v2_surreal0(k4_surrealc(esk1_0))|~v2_surreal0(k4_surrealc(esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93, c_0_47]), c_0_61]), c_0_52])])).
cnf(c_0_100, negated_conjecture, (r1_surrealo(esk1_0,esk1_0)), inference(spm,[status(thm)],[c_0_94, c_0_52])).
cnf(c_0_101, negated_conjecture, (r1_surrealo(X1,esk2_0)|r1_surrealo(esk2_0,X1)|~v2_surreal0(X1)), inference(spm,[status(thm)],[c_0_34, c_0_61])).
cnf(c_0_102, negated_conjecture, (~r2_surrealo(k2_surrealr(k10_surrealr(k4_surrealc(esk1_0),k4_surrealc(esk2_0))),k10_surrealr(esk1_0,esk2_0))|~v2_surreal0(k10_surrealr(k4_surrealc(esk1_0),k4_surrealc(esk2_0)))|~v2_surreal0(k10_surrealr(esk1_0,esk2_0))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_95, c_0_35]), c_0_22]), c_0_78])).
cnf(c_0_103, plain, (r1_surrealo(X1,k4_surrealc(X2))|~r1_surrealo(X1,k2_surrealr(X2))|~v2_surreal0(X1)|~v2_surreal0(X2)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_96, c_0_97]), c_0_26]), c_0_43])).
cnf(c_0_104, negated_conjecture, (~r1_surrealo(k2_surrealr(k4_surrealc(esk2_0)),k2_surrealr(esk2_0))|~r1_surrealo(k4_surrealc(esk2_0),k2_surrealr(esk2_0))|~r1_surrealo(k4_surrealc(esk1_0),esk1_0)|~v2_surreal0(k10_surrealr(esk1_0,esk2_0))|~v2_surreal0(k4_surrealc(esk1_0))|~v2_surreal0(k4_surrealc(esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98, c_0_68]), c_0_52]), c_0_61])])).
cnf(c_0_105, negated_conjecture, (~r1_surrealo(k4_surrealc(esk2_0),esk2_0)|~r1_surrealo(k2_surrealr(esk1_0),esk1_0)|~v2_surreal0(k4_surrealc(esk1_0))|~v2_surreal0(k4_surrealc(esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99, c_0_53]), c_0_100]), c_0_52])])).
cnf(c_0_106, negated_conjecture, (r1_surrealo(esk2_0,esk2_0)), inference(spm,[status(thm)],[c_0_101, c_0_61])).
cnf(c_0_107, negated_conjecture, (r1_surrealo(esk1_0,k2_surrealr(X1))|r1_surrealo(k2_surrealr(X1),esk1_0)|~v2_surreal0(X1)), inference(spm,[status(thm)],[c_0_94, c_0_25])).
cnf(c_0_108, negated_conjecture, (~r1_surrealo(k10_surrealr(esk1_0,esk2_0),k2_surrealr(k10_surrealr(k4_surrealc(esk1_0),k4_surrealc(esk2_0))))|~r1_surrealo(k2_surrealr(k10_surrealr(k4_surrealc(esk1_0),k4_surrealc(esk2_0))),k10_surrealr(esk1_0,esk2_0))|~v2_surreal0(k10_surrealr(k4_surrealc(esk1_0),k4_surrealc(esk2_0)))|~v2_surreal0(k10_surrealr(esk1_0,esk2_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_102, c_0_45]), c_0_25])).
cnf(c_0_109, plain, (k2_surrealr(k10_surrealr(X1,X2))=k8_surrealr(k2_surrealr(X1),X2)|~v2_surreal0(X1)|~v2_surreal0(X2)), inference(spm,[status(thm)],[c_0_57, c_0_39])).
cnf(c_0_110, negated_conjecture, (~r1_surrealo(k4_surrealc(k10_surrealr(k4_surrealc(esk1_0),k4_surrealc(esk2_0))),k2_surrealr(k10_surrealr(esk1_0,esk2_0)))|~v2_surreal0(k4_surrealc(k10_surrealr(k4_surrealc(esk1_0),k4_surrealc(esk2_0))))|~v2_surreal0(k10_surrealr(esk1_0,esk2_0))), inference(spm,[status(thm)],[c_0_49, c_0_103])).
cnf(c_0_111, plain, (r1_surrealo(k8_surrealr(X1,k2_surrealr(X2)),k2_surrealr(X3))|~r1_surrealo(X3,k8_surrealr(k2_surrealr(X1),X2))|~v2_surreal0(X3)|~v2_surreal0(X1)|~v2_surreal0(X2)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_36, c_0_57]), c_0_74])).
cnf(c_0_112, plain, (r1_surrealo(X1,k4_surrealc(X2))|~r2_surrealo(k4_surrealc(X1),X2)|~v2_surreal0(X1)|~v2_surreal0(X2)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_26, c_0_30]), c_0_22]), c_0_22])).
cnf(c_0_113, negated_conjecture, (~r1_surrealo(k4_surrealc(esk2_0),k2_surrealr(esk2_0))|~r1_surrealo(k4_surrealc(esk1_0),esk1_0)|~v2_surreal0(k10_surrealr(esk1_0,esk2_0))|~v2_surreal0(k4_surrealc(esk1_0))|~v2_surreal0(k4_surrealc(esk2_0))), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104, c_0_37]), c_0_61])]), c_0_83])).
cnf(c_0_114, plain, (r1_surrealo(k4_surrealc(X1),k2_surrealr(X2))|~r1_surrealo(k2_surrealr(k2_surrealr(X2)),X1)|~r1_surrealo(X1,k2_surrealr(X2))|~v2_surreal0(X2)|~v2_surreal0(X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_36, c_0_63]), c_0_22])).
cnf(c_0_115, negated_conjecture, (~r1_surrealo(k2_surrealr(esk1_0),esk1_0)|~r1_surrealo(k2_surrealr(esk2_0),esk2_0)|~v2_surreal0(k4_surrealc(esk1_0))|~v2_surreal0(k4_surrealc(esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105, c_0_53]), c_0_106]), c_0_61])])).
cnf(c_0_116, negated_conjecture, (r1_surrealo(k2_surrealr(esk1_0),esk1_0)|r1_surrealo(esk1_0,k2_surrealr(esk1_0))), inference(spm,[status(thm)],[c_0_107, c_0_52])).
cnf(c_0_117, negated_conjecture, (r1_surrealo(esk2_0,k2_surrealr(X1))|r1_surrealo(k2_surrealr(X1),esk2_0)|~v2_surreal0(X1)), inference(spm,[status(thm)],[c_0_101, c_0_25])).
cnf(c_0_118, negated_conjecture, (~r1_surrealo(k10_surrealr(esk1_0,esk2_0),k8_surrealr(k2_surrealr(k4_surrealc(esk1_0)),k4_surrealc(esk2_0)))|~r1_surrealo(k8_surrealr(k2_surrealr(k4_surrealc(esk1_0)),k4_surrealc(esk2_0)),k10_surrealr(esk1_0,esk2_0))|~v2_surreal0(k10_surrealr(esk1_0,esk2_0))|~v2_surreal0(k4_surrealc(esk1_0))|~v2_surreal0(k4_surrealc(esk2_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_108, c_0_109]), c_0_47])).
cnf(c_0_119, negated_conjecture, (r1_surrealo(k2_surrealr(k4_surrealc(esk2_0)),esk2_0)|~v2_surreal0(k4_surrealc(esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62, c_0_77]), c_0_61])])).
cnf(c_0_120, negated_conjecture, (~r1_surrealo(k10_surrealr(k4_surrealc(esk1_0),k4_surrealc(esk2_0)),k2_surrealr(k10_surrealr(esk1_0,esk2_0)))|~r1_surrealo(k10_surrealr(esk1_0,esk2_0),k10_surrealr(k4_surrealc(esk1_0),k4_surrealc(esk2_0)))|~v2_surreal0(k10_surrealr(k4_surrealc(esk1_0),k4_surrealc(esk2_0)))|~v2_surreal0(k10_surrealr(esk1_0,esk2_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_110, c_0_85]), c_0_22])).
cnf(c_0_121, plain, (r1_surrealo(k10_surrealr(X1,X2),k2_surrealr(X3))|~r1_surrealo(X3,k8_surrealr(k2_surrealr(X1),X2))|~v2_surreal0(X3)|~v2_surreal0(X1)|~v2_surreal0(X2)), inference(spm,[status(thm)],[c_0_111, c_0_39])).
cnf(c_0_122, plain, (r1_surrealo(X1,k4_surrealc(X2))|~r1_surrealo(X2,k4_surrealc(X1))|~r1_surrealo(k4_surrealc(X1),X2)|~v2_surreal0(X1)|~v2_surreal0(X2)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_112, c_0_45]), c_0_22])).
cnf(c_0_123, negated_conjecture, (r1_surrealo(esk1_0,k4_surrealc(X1))|r1_surrealo(k4_surrealc(X1),esk1_0)|~v2_surreal0(X1)), inference(spm,[status(thm)],[c_0_94, c_0_22])).
cnf(c_0_124, negated_conjecture, (~r1_surrealo(k2_surrealr(k2_surrealr(esk2_0)),esk2_0)|~r1_surrealo(k4_surrealc(esk1_0),esk1_0)|~r1_surrealo(esk2_0,k2_surrealr(esk2_0))|~v2_surreal0(k10_surrealr(esk1_0,esk2_0))|~v2_surreal0(k4_surrealc(esk1_0))|~v2_surreal0(k4_surrealc(esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113, c_0_114]), c_0_61])])).
cnf(c_0_125, negated_conjecture, (r1_surrealo(esk1_0,k2_surrealr(esk1_0))|~r1_surrealo(k2_surrealr(esk2_0),esk2_0)|~v2_surreal0(k4_surrealc(esk1_0))|~v2_surreal0(k4_surrealc(esk2_0))), inference(spm,[status(thm)],[c_0_115, c_0_116])).
cnf(c_0_126, negated_conjecture, (r1_surrealo(k2_surrealr(esk2_0),esk2_0)|r1_surrealo(esk2_0,k2_surrealr(esk2_0))), inference(spm,[status(thm)],[c_0_117, c_0_61])).
cnf(c_0_127, negated_conjecture, (~r1_surrealo(k10_surrealr(esk1_0,esk2_0),k8_surrealr(k2_surrealr(k4_surrealc(esk1_0)),k4_surrealc(esk2_0)))|~r1_surrealo(k4_surrealc(esk2_0),k2_surrealr(esk2_0))|~v2_surreal0(k10_surrealr(esk1_0,esk2_0))|~v2_surreal0(k4_surrealc(esk1_0))|~v2_surreal0(k4_surrealc(esk2_0))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118, c_0_59]), c_0_52]), c_0_61])]), c_0_25]), c_0_92])).
cnf(c_0_128, plain, (r1_surrealo(k10_surrealr(X1,X2),k8_surrealr(X3,X4))|~r1_surrealo(k2_surrealr(X2),X4)|~r1_surrealo(X1,X3)|~v2_surreal0(X4)|~v2_surreal0(X3)|~v2_surreal0(X1)|~v2_surreal0(X2)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_50, c_0_39]), c_0_25])).
cnf(c_0_129, negated_conjecture, (r1_surrealo(k2_surrealr(esk2_0),k4_surrealc(esk2_0))|~v2_surreal0(k4_surrealc(esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29, c_0_119]), c_0_61])])).
cnf(c_0_130, negated_conjecture, (~r1_surrealo(k10_surrealr(esk1_0,esk2_0),k8_surrealr(k2_surrealr(k4_surrealc(esk1_0)),k4_surrealc(esk2_0)))|~r1_surrealo(k10_surrealr(esk1_0,esk2_0),k10_surrealr(k4_surrealc(esk1_0),k4_surrealc(esk2_0)))|~v2_surreal0(k10_surrealr(esk1_0,esk2_0))|~v2_surreal0(k4_surrealc(esk1_0))|~v2_surreal0(k4_surrealc(esk2_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_120, c_0_121]), c_0_47])).
cnf(c_0_131, plain, (r1_surrealo(X1,k4_surrealc(X2))|~r1_surrealo(k4_surrealc(X1),X2)|~r1_surrealo(X2,X1)|~v2_surreal0(X1)|~v2_surreal0(X2)), inference(spm,[status(thm)],[c_0_122, c_0_73])).
cnf(c_0_132, negated_conjecture, (r1_surrealo(k4_surrealc(esk1_0),esk1_0)|r1_surrealo(esk1_0,k4_surrealc(esk1_0))), inference(spm,[status(thm)],[c_0_123, c_0_52])).
cnf(c_0_133, negated_conjecture, (~r1_surrealo(k4_surrealc(esk1_0),esk1_0)|~r1_surrealo(esk2_0,k2_surrealr(esk2_0))|~v2_surreal0(k10_surrealr(esk1_0,esk2_0))|~v2_surreal0(k4_surrealc(esk1_0))|~v2_surreal0(k4_surrealc(esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124, c_0_24]), c_0_106]), c_0_61])])).
cnf(c_0_134, negated_conjecture, (r1_surrealo(esk2_0,k2_surrealr(esk2_0))|r1_surrealo(esk1_0,k2_surrealr(esk1_0))|~v2_surreal0(k4_surrealc(esk1_0))|~v2_surreal0(k4_surrealc(esk2_0))), inference(spm,[status(thm)],[c_0_125, c_0_126])).
cnf(c_0_135, negated_conjecture, (~r1_surrealo(k4_surrealc(esk2_0),k2_surrealr(esk2_0))|~r1_surrealo(esk1_0,k2_surrealr(k4_surrealc(esk1_0)))|~v2_surreal0(k10_surrealr(esk1_0,esk2_0))|~v2_surreal0(k4_surrealc(esk1_0))|~v2_surreal0(k4_surrealc(esk2_0))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127, c_0_128]), c_0_52]), c_0_61])]), c_0_25]), c_0_129])).
cnf(c_0_136, negated_conjecture, (~r1_surrealo(k10_surrealr(esk1_0,esk2_0),k10_surrealr(k4_surrealc(esk1_0),k4_surrealc(esk2_0)))|~r1_surrealo(esk1_0,k2_surrealr(k4_surrealc(esk1_0)))|~v2_surreal0(k10_surrealr(esk1_0,esk2_0))|~v2_surreal0(k4_surrealc(esk1_0))|~v2_surreal0(k4_surrealc(esk2_0))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_130, c_0_128]), c_0_52]), c_0_61])]), c_0_25]), c_0_129])).
cnf(c_0_137, negated_conjecture, (r1_surrealo(esk1_0,k4_surrealc(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_131, c_0_132]), c_0_100]), c_0_52])])).
cnf(c_0_138, negated_conjecture, (~r1_surrealo(k4_surrealc(esk1_0),esk1_0)|~r1_surrealo(esk2_0,k2_surrealr(esk2_0))|~v2_surreal0(k4_surrealc(esk1_0))|~v2_surreal0(k4_surrealc(esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133, c_0_47]), c_0_61]), c_0_52])])).
cnf(c_0_139, negated_conjecture, (r1_surrealo(esk1_0,k2_surrealr(esk1_0))|r1_surrealo(esk2_0,k2_surrealr(esk2_0))|~v2_surreal0(k4_surrealc(esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134, c_0_22]), c_0_52])])).
cnf(c_0_140, negated_conjecture, (~r1_surrealo(esk1_0,k2_surrealr(k4_surrealc(esk1_0)))|~r1_surrealo(k2_surrealr(k2_surrealr(esk2_0)),esk2_0)|~r1_surrealo(esk2_0,k2_surrealr(esk2_0))|~v2_surreal0(k10_surrealr(esk1_0,esk2_0))|~v2_surreal0(k4_surrealc(esk1_0))|~v2_surreal0(k4_surrealc(esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_135, c_0_114]), c_0_61])])).
cnf(c_0_141, negated_conjecture, (~r1_surrealo(k2_surrealr(esk2_0),k2_surrealr(k4_surrealc(esk2_0)))|~r1_surrealo(esk1_0,k2_surrealr(k4_surrealc(esk1_0)))|~v2_surreal0(k10_surrealr(esk1_0,esk2_0))|~v2_surreal0(k4_surrealc(esk1_0))|~v2_surreal0(k4_surrealc(esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136, c_0_68]), c_0_137]), c_0_52]), c_0_61])])).
cnf(c_0_142, negated_conjecture, (~r1_surrealo(esk2_0,k2_surrealr(esk2_0))|~r1_surrealo(k2_surrealr(esk1_0),esk1_0)|~v2_surreal0(k4_surrealc(esk1_0))|~v2_surreal0(k4_surrealc(esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_138, c_0_53]), c_0_100]), c_0_52])])).
cnf(c_0_143, negated_conjecture, (r1_surrealo(esk2_0,k2_surrealr(esk2_0))|r1_surrealo(esk1_0,k2_surrealr(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_139, c_0_22]), c_0_61])])).
cnf(c_0_144, negated_conjecture, (~r1_surrealo(k2_surrealr(k2_surrealr(esk2_0)),esk2_0)|~r1_surrealo(k2_surrealr(k2_surrealr(esk1_0)),esk1_0)|~r1_surrealo(esk2_0,k2_surrealr(esk2_0))|~r1_surrealo(esk1_0,k2_surrealr(esk1_0))|~v2_surreal0(k10_surrealr(esk1_0,esk2_0))|~v2_surreal0(k4_surrealc(esk1_0))|~v2_surreal0(k4_surrealc(esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_140, c_0_63]), c_0_52])])).
cnf(c_0_145, negated_conjecture, (~r1_surrealo(esk1_0,k2_surrealr(k4_surrealc(esk1_0)))|~r1_surrealo(k4_surrealc(esk2_0),esk2_0)|~v2_surreal0(k10_surrealr(esk1_0,esk2_0))|~v2_surreal0(k4_surrealc(esk1_0))|~v2_surreal0(k4_surrealc(esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_141, c_0_37]), c_0_61])])).
cnf(c_0_146, negated_conjecture, (r1_surrealo(esk1_0,k2_surrealr(esk1_0))|~v2_surreal0(k4_surrealc(esk1_0))|~v2_surreal0(k4_surrealc(esk2_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_142, c_0_116]), c_0_143])).
cnf(c_0_147, negated_conjecture, (~r1_surrealo(k2_surrealr(k2_surrealr(esk2_0)),esk2_0)|~r1_surrealo(esk2_0,k2_surrealr(esk2_0))|~r1_surrealo(esk1_0,k2_surrealr(esk1_0))|~v2_surreal0(k10_surrealr(esk1_0,esk2_0))|~v2_surreal0(k4_surrealc(esk1_0))|~v2_surreal0(k4_surrealc(esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_144, c_0_24]), c_0_100]), c_0_52])])).
cnf(c_0_148, negated_conjecture, (~r1_surrealo(k4_surrealc(esk2_0),esk2_0)|~v2_surreal0(k10_surrealr(esk1_0,esk2_0))|~v2_surreal0(k4_surrealc(esk1_0))|~v2_surreal0(k4_surrealc(esk2_0))), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145, c_0_90]), c_0_100]), c_0_52])]), c_0_146])).
cnf(c_0_149, negated_conjecture, (~r1_surrealo(esk2_0,k2_surrealr(esk2_0))|~r1_surrealo(esk1_0,k2_surrealr(esk1_0))|~v2_surreal0(k10_surrealr(esk1_0,esk2_0))|~v2_surreal0(k4_surrealc(esk1_0))|~v2_surreal0(k4_surrealc(esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147, c_0_24]), c_0_106]), c_0_61])])).
cnf(c_0_150, negated_conjecture, (~r1_surrealo(k4_surrealc(esk2_0),esk2_0)|~v2_surreal0(k4_surrealc(esk1_0))|~v2_surreal0(k4_surrealc(esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_148, c_0_47]), c_0_61]), c_0_52])])).
cnf(c_0_151, negated_conjecture, (~r1_surrealo(esk2_0,k2_surrealr(esk2_0))|~r1_surrealo(esk1_0,k2_surrealr(esk1_0))|~v2_surreal0(k4_surrealc(esk1_0))|~v2_surreal0(k4_surrealc(esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_149, c_0_47]), c_0_61]), c_0_52])])).
cnf(c_0_152, negated_conjecture, (~r1_surrealo(k2_surrealr(esk2_0),esk2_0)|~v2_surreal0(k4_surrealc(esk1_0))|~v2_surreal0(k4_surrealc(esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_150, c_0_53]), c_0_106]), c_0_61])])).
cnf(c_0_153, negated_conjecture, (~r1_surrealo(esk2_0,k2_surrealr(esk2_0))|~v2_surreal0(k4_surrealc(esk1_0))|~v2_surreal0(k4_surrealc(esk2_0))), inference(spm,[status(thm)],[c_0_151, c_0_146])).
cnf(c_0_154, negated_conjecture, (~v2_surreal0(k4_surrealc(esk1_0))|~v2_surreal0(k4_surrealc(esk2_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_152, c_0_126]), c_0_153])).
cnf(c_0_155, negated_conjecture, (~v2_surreal0(k4_surrealc(esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_154, c_0_22]), c_0_52])])).
cnf(c_0_156, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_155, c_0_22]), c_0_61])]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 157
# Proof object clause steps            : 130
# Proof object formula steps           : 27
# Proof object conjectures             : 74
# Proof object clause conjectures      : 71
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 19
# Proof object initial formulas used   : 13
# Proof object generating inferences   : 111
# Proof object simplifying inferences  : 163
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 13
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 20
# Removed in clause preprocessing      : 0
# Initial clauses in saturation        : 20
# Processed clauses                    : 10190
# ...of these trivial                  : 9
# ...subsumed                          : 4495
# ...remaining for further processing  : 5686
# Other redundant clauses eliminated   : 0
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 3086
# Backward-rewritten                   : 9
# Generated clauses                    : 56243
# ...of the previous two non-trivial   : 55699
# Contextual simplify-reflections      : 1247
# Paramodulations                      : 56243
# Factorizations                       : 0
# NegExts                              : 0
# Equation resolutions                 : 0
# Propositional unsat checks           : 1
#    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       : 0.117
#    Propositional solver time         : 0.060
#    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  : 2571
#    Positive orientable unit clauses  : 10
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 2
#    Non-unit-clauses                  : 2559
# Current number of unprocessed clauses: 44220
# ...number of literals in the above   : 261921
# Current number of archived formulas  : 0
# Current number of archived clauses   : 3115
# Clause-clause subsumption calls (NU) : 4100256
# Rec. Clause-clause subsumption calls : 1038657
# Non-unit clause-clause subsumptions  : 8820
# Unit Clause-clause subsumption calls : 2927
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 4
# BW rewrite match successes           : 4
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 2182017

# -------------------------------------------------
# User time                : 3.014 s
# System time              : 0.086 s
# Total time               : 3.100 s
# Maximum resident set size: 3544 pages
