# 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       : 0.017 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(rd2_xtuple_0, axiom, ![X1, X2]:k2_xtuple_0(k4_tarski(X1,X2))=X2, file('surreali/surreali__t39_surreali', rd2_xtuple_0)).
fof(redefinition_k2_surreal0, axiom, ![X1]:k2_surreal0(X1)=k2_xtuple_0(X1), file('surreali/surreali__t39_surreali', redefinition_k2_surreal0)).
fof(t39_surreali, conjecture, ![X1]:(v2_surreal0(X1)=>![X2]:(v2_surreal0(X2)=>((v2_surreali(X1)&X2=k4_tarski(k2_xboole_0(k2_xboole_0(k1_tarski(k11_surreal0),k13_surreali(k2_surreal0(X1),k1_surreal0(k12_surreali(X1)),X1)),k13_surreali(k1_surreal0(X1),k2_surreal0(k12_surreali(X1)),X1)),k2_xboole_0(k13_surreali(k1_surreal0(X1),k1_surreal0(k12_surreali(X1)),X1),k13_surreali(k2_surreal0(X1),k2_surreal0(k12_surreali(X1)),X1))))=>r2_surrealo(k12_surreali(X1),X2)))), file('surreali/surreali__t39_surreali', t39_surreali)).
fof(rd1_xtuple_0, axiom, ![X1, X2]:k1_xtuple_0(k4_tarski(X1,X2))=X1, file('surreali/surreali__t39_surreali', rd1_xtuple_0)).
fof(redefinition_k1_surreal0, axiom, ![X1]:k1_surreal0(X1)=k1_xtuple_0(X1), file('surreali/surreali__t39_surreali', redefinition_k1_surreal0)).
fof(t36_surreali, axiom, ![X1]:(v2_surreal0(X1)=>(v2_surreali(X1)=>k12_surreali(X1)=k4_tarski(k2_xboole_0(k2_xboole_0(k1_tarski(k11_surreal0),k13_surreali(k2_surreal0(X1),k1_surreal0(k12_surreali(X1)),k7_surreali(X1))),k13_surreali(k1_surreal0(X1),k2_surreal0(k12_surreali(X1)),k7_surreali(X1))),k2_xboole_0(k13_surreali(k1_surreal0(X1),k1_surreal0(k12_surreali(X1)),k7_surreali(X1)),k13_surreali(k2_surreal0(X1),k2_surreal0(k12_surreali(X1)),k7_surreali(X1)))))), file('surreali/surreali__t39_surreali', t36_surreali)).
fof(t29_surrealo, axiom, ![X1]:(v2_surreal0(X1)=>![X2]:(v2_surreal0(X2)=>![X3, X4, X5, X6]:((((r4_surrealo(X3,X4)&r4_surrealo(X5,X6))&X1=k4_tarski(X3,X5))&X2=k4_tarski(X4,X6))=>r2_surrealo(X1,X2)))), file('surreali/surreali__t39_surreali', t29_surrealo)).
fof(t31_surrealo, axiom, ![X1, X2, X3, X4]:((r3_surrealo(X1,X2)&r3_surrealo(X3,X4))=>r3_surrealo(k2_xboole_0(X1,X3),k2_xboole_0(X2,X4))), file('surreali/surreali__t39_surreali', t31_surrealo)).
fof(dt_k12_surreali, axiom, ![X1]:(v2_surreal0(X1)=>v2_surreal0(k12_surreali(X1))), file('surreali/surreali__t39_surreali', dt_k12_surreali)).
fof(t35_surreali, axiom, ![X1]:(v2_surreal0(X1)=>![X2]:(v2_surreal0(X2)=>![X3, X4]:(r2_surrealo(X1,X2)=>r3_surrealo(k13_surreali(X3,X4,X1),k13_surreali(X3,X4,X2))))), file('surreali/surreali__t39_surreali', t35_surreali)).
fof(d4_surrealo, axiom, ![X1, X2]:(r4_surrealo(X1,X2)<=>(r3_surrealo(X1,X2)&r3_surrealo(X2,X1))), file('surreali/surreali__t39_surreali', d4_surrealo)).
fof(dt_k7_surreali, axiom, ![X1]:(v2_surreal0(k7_surreali(X1))&v2_surreali(k7_surreali(X1))), file('surreali/surreali__t39_surreali', dt_k7_surreali)).
fof(reflexivity_r3_surrealo, axiom, ![X1, X2]:r3_surrealo(X1,X1), file('surreali/surreali__t39_surreali', reflexivity_r3_surrealo)).
fof(symmetry_r2_surrealo, axiom, ![X1, X2]:((v2_surreal0(X1)&v2_surreal0(X2))=>(r2_surrealo(X1,X2)=>r2_surrealo(X2,X1))), file('surreali/surreali__t39_surreali', symmetry_r2_surrealo)).
fof(t18_surreali, axiom, ![X1]:(v2_surreal0(X1)=>(v2_surreali(X1)=>r2_surrealo(X1,k7_surreali(X1)))), file('surreali/surreali__t39_surreali', t18_surreali)).
fof(c_0_15, plain, ![X47, X48]:k2_xtuple_0(k4_tarski(X47,X48))=X48, inference(variable_rename,[status(thm)],[rd2_xtuple_0])).
fof(c_0_16, plain, ![X50]:k2_surreal0(X50)=k2_xtuple_0(X50), inference(variable_rename,[status(thm)],[redefinition_k2_surreal0])).
fof(c_0_17, negated_conjecture, ~(![X1]:(v2_surreal0(X1)=>![X2]:(v2_surreal0(X2)=>((v2_surreali(X1)&X2=k4_tarski(k2_xboole_0(k2_xboole_0(k1_tarski(k11_surreal0),k13_surreali(k2_surreal0(X1),k1_surreal0(k12_surreali(X1)),X1)),k13_surreali(k1_surreal0(X1),k2_surreal0(k12_surreali(X1)),X1)),k2_xboole_0(k13_surreali(k1_surreal0(X1),k1_surreal0(k12_surreali(X1)),X1),k13_surreali(k2_surreal0(X1),k2_surreal0(k12_surreali(X1)),X1))))=>r2_surrealo(k12_surreali(X1),X2))))), inference(assume_negation,[status(cth)],[t39_surreali])).
cnf(c_0_18, plain, (k2_xtuple_0(k4_tarski(X1,X2))=X2), inference(split_conjunct,[status(thm)],[c_0_15])).
cnf(c_0_19, plain, (k2_surreal0(X1)=k2_xtuple_0(X1)), inference(split_conjunct,[status(thm)],[c_0_16])).
fof(c_0_20, negated_conjecture, (v2_surreal0(esk1_0)&(v2_surreal0(esk2_0)&((v2_surreali(esk1_0)&esk2_0=k4_tarski(k2_xboole_0(k2_xboole_0(k1_tarski(k11_surreal0),k13_surreali(k2_surreal0(esk1_0),k1_surreal0(k12_surreali(esk1_0)),esk1_0)),k13_surreali(k1_surreal0(esk1_0),k2_surreal0(k12_surreali(esk1_0)),esk1_0)),k2_xboole_0(k13_surreali(k1_surreal0(esk1_0),k1_surreal0(k12_surreali(esk1_0)),esk1_0),k13_surreali(k2_surreal0(esk1_0),k2_surreal0(k12_surreali(esk1_0)),esk1_0))))&~r2_surrealo(k12_surreali(esk1_0),esk2_0)))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_17])])])).
fof(c_0_21, plain, ![X45, X46]:k1_xtuple_0(k4_tarski(X45,X46))=X45, inference(variable_rename,[status(thm)],[rd1_xtuple_0])).
fof(c_0_22, plain, ![X49]:k1_surreal0(X49)=k1_xtuple_0(X49), inference(variable_rename,[status(thm)],[redefinition_k1_surreal0])).
cnf(c_0_23, plain, (k2_surreal0(k4_tarski(X1,X2))=X2), inference(rw,[status(thm)],[c_0_18, c_0_19])).
cnf(c_0_24, negated_conjecture, (esk2_0=k4_tarski(k2_xboole_0(k2_xboole_0(k1_tarski(k11_surreal0),k13_surreali(k2_surreal0(esk1_0),k1_surreal0(k12_surreali(esk1_0)),esk1_0)),k13_surreali(k1_surreal0(esk1_0),k2_surreal0(k12_surreali(esk1_0)),esk1_0)),k2_xboole_0(k13_surreali(k1_surreal0(esk1_0),k1_surreal0(k12_surreali(esk1_0)),esk1_0),k13_surreali(k2_surreal0(esk1_0),k2_surreal0(k12_surreali(esk1_0)),esk1_0)))), inference(split_conjunct,[status(thm)],[c_0_20])).
cnf(c_0_25, plain, (k1_xtuple_0(k4_tarski(X1,X2))=X1), inference(split_conjunct,[status(thm)],[c_0_21])).
cnf(c_0_26, plain, (k1_surreal0(X1)=k1_xtuple_0(X1)), inference(split_conjunct,[status(thm)],[c_0_22])).
cnf(c_0_27, negated_conjecture, (k2_xboole_0(k13_surreali(k1_surreal0(esk1_0),k1_surreal0(k12_surreali(esk1_0)),esk1_0),k13_surreali(k2_surreal0(esk1_0),k2_surreal0(k12_surreali(esk1_0)),esk1_0))=k2_surreal0(esk2_0)), inference(spm,[status(thm)],[c_0_23, c_0_24])).
fof(c_0_28, plain, ![X69]:(~v2_surreal0(X69)|(~v2_surreali(X69)|k12_surreali(X69)=k4_tarski(k2_xboole_0(k2_xboole_0(k1_tarski(k11_surreal0),k13_surreali(k2_surreal0(X69),k1_surreal0(k12_surreali(X69)),k7_surreali(X69))),k13_surreali(k1_surreal0(X69),k2_surreal0(k12_surreali(X69)),k7_surreali(X69))),k2_xboole_0(k13_surreali(k1_surreal0(X69),k1_surreal0(k12_surreali(X69)),k7_surreali(X69)),k13_surreali(k2_surreal0(X69),k2_surreal0(k12_surreali(X69)),k7_surreali(X69)))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t36_surreali])])).
fof(c_0_29, plain, ![X55, X56, X57, X58, X59, X60]:(~v2_surreal0(X55)|(~v2_surreal0(X56)|(~r4_surrealo(X57,X58)|~r4_surrealo(X59,X60)|X55!=k4_tarski(X57,X59)|X56!=k4_tarski(X58,X60)|r2_surrealo(X55,X56)))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t29_surrealo])])])).
cnf(c_0_30, plain, (k1_surreal0(k4_tarski(X1,X2))=X1), inference(rw,[status(thm)],[c_0_25, c_0_26])).
cnf(c_0_31, negated_conjecture, (k4_tarski(k2_xboole_0(k2_xboole_0(k1_tarski(k11_surreal0),k13_surreali(k2_surreal0(esk1_0),k1_surreal0(k12_surreali(esk1_0)),esk1_0)),k13_surreali(k1_surreal0(esk1_0),k2_surreal0(k12_surreali(esk1_0)),esk1_0)),k2_surreal0(esk2_0))=esk2_0), inference(rw,[status(thm)],[c_0_24, c_0_27])).
cnf(c_0_32, plain, (k12_surreali(X1)=k4_tarski(k2_xboole_0(k2_xboole_0(k1_tarski(k11_surreal0),k13_surreali(k2_surreal0(X1),k1_surreal0(k12_surreali(X1)),k7_surreali(X1))),k13_surreali(k1_surreal0(X1),k2_surreal0(k12_surreali(X1)),k7_surreali(X1))),k2_xboole_0(k13_surreali(k1_surreal0(X1),k1_surreal0(k12_surreali(X1)),k7_surreali(X1)),k13_surreali(k2_surreal0(X1),k2_surreal0(k12_surreali(X1)),k7_surreali(X1))))|~v2_surreal0(X1)|~v2_surreali(X1)), inference(split_conjunct,[status(thm)],[c_0_28])).
cnf(c_0_33, plain, (r2_surrealo(X1,X2)|~v2_surreal0(X1)|~v2_surreal0(X2)|~r4_surrealo(X3,X4)|~r4_surrealo(X5,X6)|X1!=k4_tarski(X3,X5)|X2!=k4_tarski(X4,X6)), inference(split_conjunct,[status(thm)],[c_0_29])).
cnf(c_0_34, negated_conjecture, (k2_xboole_0(k2_xboole_0(k1_tarski(k11_surreal0),k13_surreali(k2_surreal0(esk1_0),k1_surreal0(k12_surreali(esk1_0)),esk1_0)),k13_surreali(k1_surreal0(esk1_0),k2_surreal0(k12_surreali(esk1_0)),esk1_0))=k1_surreal0(esk2_0)), inference(spm,[status(thm)],[c_0_30, c_0_31])).
cnf(c_0_35, plain, (k2_xboole_0(k2_xboole_0(k1_tarski(k11_surreal0),k13_surreali(k2_surreal0(X1),k1_surreal0(k12_surreali(X1)),k7_surreali(X1))),k13_surreali(k1_surreal0(X1),k2_surreal0(k12_surreali(X1)),k7_surreali(X1)))=k1_surreal0(k12_surreali(X1))|~v2_surreali(X1)|~v2_surreal0(X1)), inference(spm,[status(thm)],[c_0_30, c_0_32])).
fof(c_0_36, plain, ![X61, X62, X63, X64]:(~r3_surrealo(X61,X62)|~r3_surrealo(X63,X64)|r3_surrealo(k2_xboole_0(X61,X63),k2_xboole_0(X62,X64))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t31_surrealo])])).
cnf(c_0_37, plain, (r2_surrealo(k4_tarski(X1,X2),k4_tarski(X3,X4))|~r4_surrealo(X2,X4)|~r4_surrealo(X1,X3)|~v2_surreal0(k4_tarski(X3,X4))|~v2_surreal0(k4_tarski(X1,X2))), inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_33])])).
cnf(c_0_38, negated_conjecture, (k4_tarski(k1_surreal0(esk2_0),k2_surreal0(esk2_0))=esk2_0), inference(rw,[status(thm)],[c_0_31, c_0_34])).
cnf(c_0_39, negated_conjecture, (v2_surreal0(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_20])).
cnf(c_0_40, plain, (k4_tarski(k1_surreal0(k12_surreali(X1)),k2_xboole_0(k13_surreali(k1_surreal0(X1),k1_surreal0(k12_surreali(X1)),k7_surreali(X1)),k13_surreali(k2_surreal0(X1),k2_surreal0(k12_surreali(X1)),k7_surreali(X1))))=k12_surreali(X1)|~v2_surreali(X1)|~v2_surreal0(X1)), inference(spm,[status(thm)],[c_0_32, c_0_35])).
cnf(c_0_41, plain, (k2_xboole_0(k13_surreali(k1_surreal0(X1),k1_surreal0(k12_surreali(X1)),k7_surreali(X1)),k13_surreali(k2_surreal0(X1),k2_surreal0(k12_surreali(X1)),k7_surreali(X1)))=k2_surreal0(k12_surreali(X1))|~v2_surreali(X1)|~v2_surreal0(X1)), inference(spm,[status(thm)],[c_0_23, c_0_32])).
fof(c_0_42, plain, ![X43]:(~v2_surreal0(X43)|v2_surreal0(k12_surreali(X43))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k12_surreali])])).
cnf(c_0_43, plain, (r3_surrealo(k2_xboole_0(X1,X3),k2_xboole_0(X2,X4))|~r3_surrealo(X1,X2)|~r3_surrealo(X3,X4)), inference(split_conjunct,[status(thm)],[c_0_36])).
fof(c_0_44, plain, ![X65, X66, X67, X68]:(~v2_surreal0(X65)|(~v2_surreal0(X66)|(~r2_surrealo(X65,X66)|r3_surrealo(k13_surreali(X67,X68,X65),k13_surreali(X67,X68,X66))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t35_surreali])])])).
cnf(c_0_45, negated_conjecture, (r2_surrealo(k4_tarski(X1,X2),esk2_0)|~r4_surrealo(X2,k2_surreal0(esk2_0))|~r4_surrealo(X1,k1_surreal0(esk2_0))|~v2_surreal0(k4_tarski(X1,X2))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37, c_0_38]), c_0_39])])).
cnf(c_0_46, plain, (k4_tarski(k1_surreal0(k12_surreali(X1)),k2_surreal0(k12_surreali(X1)))=k12_surreali(X1)|~v2_surreali(X1)|~v2_surreal0(X1)), inference(spm,[status(thm)],[c_0_40, c_0_41])).
cnf(c_0_47, plain, (v2_surreal0(k12_surreali(X1))|~v2_surreal0(X1)), inference(split_conjunct,[status(thm)],[c_0_42])).
fof(c_0_48, plain, ![X41, X42]:(((r3_surrealo(X41,X42)|~r4_surrealo(X41,X42))&(r3_surrealo(X42,X41)|~r4_surrealo(X41,X42)))&(~r3_surrealo(X41,X42)|~r3_surrealo(X42,X41)|r4_surrealo(X41,X42))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d4_surrealo])])])).
cnf(c_0_49, negated_conjecture, (r3_surrealo(k2_xboole_0(X1,X2),k2_surreal0(esk2_0))|~r3_surrealo(X2,k13_surreali(k2_surreal0(esk1_0),k2_surreal0(k12_surreali(esk1_0)),esk1_0))|~r3_surrealo(X1,k13_surreali(k1_surreal0(esk1_0),k1_surreal0(k12_surreali(esk1_0)),esk1_0))), inference(spm,[status(thm)],[c_0_43, c_0_27])).
cnf(c_0_50, plain, (r3_surrealo(k13_surreali(X3,X4,X1),k13_surreali(X3,X4,X2))|~v2_surreal0(X1)|~v2_surreal0(X2)|~r2_surrealo(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_44])).
cnf(c_0_51, negated_conjecture, (v2_surreal0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_20])).
fof(c_0_52, plain, ![X44]:(v2_surreal0(k7_surreali(X44))&v2_surreali(k7_surreali(X44))), inference(variable_rename,[status(thm)],[dt_k7_surreali])).
cnf(c_0_53, negated_conjecture, (r3_surrealo(k2_xboole_0(X1,X2),k1_surreal0(esk2_0))|~r3_surrealo(X1,k2_xboole_0(k1_tarski(k11_surreal0),k13_surreali(k2_surreal0(esk1_0),k1_surreal0(k12_surreali(esk1_0)),esk1_0)))|~r3_surrealo(X2,k13_surreali(k1_surreal0(esk1_0),k2_surreal0(k12_surreali(esk1_0)),esk1_0))), inference(spm,[status(thm)],[c_0_43, c_0_34])).
fof(c_0_54, plain, ![X51]:r3_surrealo(X51,X51), inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[reflexivity_r3_surrealo])])).
cnf(c_0_55, negated_conjecture, (r2_surrealo(k12_surreali(X1),esk2_0)|~r4_surrealo(k2_surreal0(k12_surreali(X1)),k2_surreal0(esk2_0))|~r4_surrealo(k1_surreal0(k12_surreali(X1)),k1_surreal0(esk2_0))|~v2_surreali(X1)|~v2_surreal0(X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_45, c_0_46]), c_0_47])).
cnf(c_0_56, plain, (r4_surrealo(X1,X2)|~r3_surrealo(X1,X2)|~r3_surrealo(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_48])).
cnf(c_0_57, negated_conjecture, (r3_surrealo(k2_xboole_0(X1,k13_surreali(k2_surreal0(esk1_0),k2_surreal0(k12_surreali(esk1_0)),X2)),k2_surreal0(esk2_0))|~r3_surrealo(X1,k13_surreali(k1_surreal0(esk1_0),k1_surreal0(k12_surreali(esk1_0)),esk1_0))|~r2_surrealo(X2,esk1_0)|~v2_surreal0(X2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49, c_0_50]), c_0_51])])).
cnf(c_0_58, plain, (v2_surreal0(k7_surreali(X1))), inference(split_conjunct,[status(thm)],[c_0_52])).
cnf(c_0_59, negated_conjecture, (v2_surreali(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_20])).
cnf(c_0_60, negated_conjecture, (r3_surrealo(k2_xboole_0(k2_xboole_0(X1,X2),X3),k1_surreal0(esk2_0))|~r3_surrealo(X3,k13_surreali(k1_surreal0(esk1_0),k2_surreal0(k12_surreali(esk1_0)),esk1_0))|~r3_surrealo(X2,k13_surreali(k2_surreal0(esk1_0),k1_surreal0(k12_surreali(esk1_0)),esk1_0))|~r3_surrealo(X1,k1_tarski(k11_surreal0))), inference(spm,[status(thm)],[c_0_53, c_0_43])).
cnf(c_0_61, plain, (r3_surrealo(X1,X1)), inference(split_conjunct,[status(thm)],[c_0_54])).
cnf(c_0_62, negated_conjecture, (r3_surrealo(k1_surreal0(esk2_0),k2_xboole_0(X1,X2))|~r3_surrealo(k2_xboole_0(k1_tarski(k11_surreal0),k13_surreali(k2_surreal0(esk1_0),k1_surreal0(k12_surreali(esk1_0)),esk1_0)),X1)|~r3_surrealo(k13_surreali(k1_surreal0(esk1_0),k2_surreal0(k12_surreali(esk1_0)),esk1_0),X2)), inference(spm,[status(thm)],[c_0_43, c_0_34])).
cnf(c_0_63, negated_conjecture, (r2_surrealo(k12_surreali(X1),esk2_0)|~r3_surrealo(k2_surreal0(esk2_0),k2_surreal0(k12_surreali(X1)))|~r3_surrealo(k2_surreal0(k12_surreali(X1)),k2_surreal0(esk2_0))|~r4_surrealo(k1_surreal0(k12_surreali(X1)),k1_surreal0(esk2_0))|~v2_surreali(X1)|~v2_surreal0(X1)), inference(spm,[status(thm)],[c_0_55, c_0_56])).
cnf(c_0_64, negated_conjecture, (r3_surrealo(k2_surreal0(k12_surreali(esk1_0)),k2_surreal0(esk2_0))|~r3_surrealo(k13_surreali(k1_surreal0(esk1_0),k1_surreal0(k12_surreali(esk1_0)),k7_surreali(esk1_0)),k13_surreali(k1_surreal0(esk1_0),k1_surreal0(k12_surreali(esk1_0)),esk1_0))|~r2_surrealo(k7_surreali(esk1_0),esk1_0)), 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_41]), c_0_58]), c_0_59]), c_0_51])])).
cnf(c_0_65, negated_conjecture, (r3_surrealo(k1_surreal0(k12_surreali(X1)),k1_surreal0(esk2_0))|~r3_surrealo(k13_surreali(k1_surreal0(X1),k2_surreal0(k12_surreali(X1)),k7_surreali(X1)),k13_surreali(k1_surreal0(esk1_0),k2_surreal0(k12_surreali(esk1_0)),esk1_0))|~r3_surrealo(k13_surreali(k2_surreal0(X1),k1_surreal0(k12_surreali(X1)),k7_surreali(X1)),k13_surreali(k2_surreal0(esk1_0),k1_surreal0(k12_surreali(esk1_0)),esk1_0))|~v2_surreali(X1)|~v2_surreal0(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60, c_0_35]), c_0_61])])).
cnf(c_0_66, negated_conjecture, (r3_surrealo(k2_surreal0(esk2_0),k2_xboole_0(X1,X2))|~r3_surrealo(k13_surreali(k2_surreal0(esk1_0),k2_surreal0(k12_surreali(esk1_0)),esk1_0),X2)|~r3_surrealo(k13_surreali(k1_surreal0(esk1_0),k1_surreal0(k12_surreali(esk1_0)),esk1_0),X1)), inference(spm,[status(thm)],[c_0_43, c_0_27])).
cnf(c_0_67, negated_conjecture, (r3_surrealo(k1_surreal0(esk2_0),k2_xboole_0(k2_xboole_0(X1,X2),X3))|~r3_surrealo(k13_surreali(k1_surreal0(esk1_0),k2_surreal0(k12_surreali(esk1_0)),esk1_0),X3)|~r3_surrealo(k13_surreali(k2_surreal0(esk1_0),k1_surreal0(k12_surreali(esk1_0)),esk1_0),X2)|~r3_surrealo(k1_tarski(k11_surreal0),X1)), inference(spm,[status(thm)],[c_0_62, c_0_43])).
cnf(c_0_68, negated_conjecture, (r2_surrealo(k12_surreali(X1),esk2_0)|~r3_surrealo(k2_surreal0(esk2_0),k2_surreal0(k12_surreali(X1)))|~r3_surrealo(k2_surreal0(k12_surreali(X1)),k2_surreal0(esk2_0))|~r3_surrealo(k1_surreal0(esk2_0),k1_surreal0(k12_surreali(X1)))|~r3_surrealo(k1_surreal0(k12_surreali(X1)),k1_surreal0(esk2_0))|~v2_surreali(X1)|~v2_surreal0(X1)), inference(spm,[status(thm)],[c_0_63, c_0_56])).
cnf(c_0_69, negated_conjecture, (r3_surrealo(k2_surreal0(k12_surreali(esk1_0)),k2_surreal0(esk2_0))|~r2_surrealo(k7_surreali(esk1_0),esk1_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64, c_0_50]), c_0_51]), c_0_58])])).
cnf(c_0_70, negated_conjecture, (~r2_surrealo(k12_surreali(esk1_0),esk2_0)), inference(split_conjunct,[status(thm)],[c_0_20])).
cnf(c_0_71, negated_conjecture, (r3_surrealo(k1_surreal0(k12_surreali(esk1_0)),k1_surreal0(esk2_0))|~r3_surrealo(k13_surreali(k1_surreal0(esk1_0),k2_surreal0(k12_surreali(esk1_0)),k7_surreali(esk1_0)),k13_surreali(k1_surreal0(esk1_0),k2_surreal0(k12_surreali(esk1_0)),esk1_0))|~r2_surrealo(k7_surreali(esk1_0),esk1_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65, c_0_50]), c_0_59]), c_0_51]), c_0_58])])).
cnf(c_0_72, negated_conjecture, (r3_surrealo(k2_surreal0(esk2_0),k2_xboole_0(X1,k13_surreali(k2_surreal0(esk1_0),k2_surreal0(k12_surreali(esk1_0)),X2)))|~r3_surrealo(k13_surreali(k1_surreal0(esk1_0),k1_surreal0(k12_surreali(esk1_0)),esk1_0),X1)|~r2_surrealo(esk1_0,X2)|~v2_surreal0(X2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66, c_0_50]), c_0_51])])).
cnf(c_0_73, negated_conjecture, (r3_surrealo(k1_surreal0(esk2_0),k2_xboole_0(k2_xboole_0(X1,X2),k13_surreali(k1_surreal0(esk1_0),k2_surreal0(k12_surreali(esk1_0)),X3)))|~r3_surrealo(k13_surreali(k2_surreal0(esk1_0),k1_surreal0(k12_surreali(esk1_0)),esk1_0),X2)|~r3_surrealo(k1_tarski(k11_surreal0),X1)|~r2_surrealo(esk1_0,X3)|~v2_surreal0(X3)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67, c_0_50]), c_0_51])])).
cnf(c_0_74, negated_conjecture, (~r3_surrealo(k2_surreal0(esk2_0),k2_surreal0(k12_surreali(esk1_0)))|~r3_surrealo(k1_surreal0(esk2_0),k1_surreal0(k12_surreali(esk1_0)))|~r3_surrealo(k1_surreal0(k12_surreali(esk1_0)),k1_surreal0(esk2_0))|~r2_surrealo(k7_surreali(esk1_0),esk1_0)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68, c_0_69]), c_0_59]), c_0_51])]), c_0_70])).
cnf(c_0_75, negated_conjecture, (r3_surrealo(k1_surreal0(k12_surreali(esk1_0)),k1_surreal0(esk2_0))|~r2_surrealo(k7_surreali(esk1_0),esk1_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71, c_0_50]), c_0_51]), c_0_58])])).
cnf(c_0_76, negated_conjecture, (r3_surrealo(k2_surreal0(esk2_0),k2_surreal0(k12_surreali(esk1_0)))|~r3_surrealo(k13_surreali(k1_surreal0(esk1_0),k1_surreal0(k12_surreali(esk1_0)),esk1_0),k13_surreali(k1_surreal0(esk1_0),k1_surreal0(k12_surreali(esk1_0)),k7_surreali(esk1_0)))|~r2_surrealo(esk1_0,k7_surreali(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72, c_0_41]), c_0_58]), c_0_59]), c_0_51])])).
cnf(c_0_77, negated_conjecture, (r3_surrealo(k1_surreal0(esk2_0),k1_surreal0(k12_surreali(esk1_0)))|~r3_surrealo(k13_surreali(k2_surreal0(esk1_0),k1_surreal0(k12_surreali(esk1_0)),esk1_0),k13_surreali(k2_surreal0(esk1_0),k1_surreal0(k12_surreali(esk1_0)),k7_surreali(esk1_0)))|~r2_surrealo(esk1_0,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_73, c_0_35]), c_0_61]), c_0_58]), c_0_59]), c_0_51])])).
fof(c_0_78, plain, ![X52, X53]:(~v2_surreal0(X52)|~v2_surreal0(X53)|(~r2_surrealo(X52,X53)|r2_surrealo(X53,X52))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[symmetry_r2_surrealo])])).
fof(c_0_79, plain, ![X54]:(~v2_surreal0(X54)|(~v2_surreali(X54)|r2_surrealo(X54,k7_surreali(X54)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t18_surreali])])).
cnf(c_0_80, negated_conjecture, (~r3_surrealo(k2_surreal0(esk2_0),k2_surreal0(k12_surreali(esk1_0)))|~r3_surrealo(k1_surreal0(esk2_0),k1_surreal0(k12_surreali(esk1_0)))|~r2_surrealo(k7_surreali(esk1_0),esk1_0)), inference(spm,[status(thm)],[c_0_74, c_0_75])).
cnf(c_0_81, negated_conjecture, (r3_surrealo(k2_surreal0(esk2_0),k2_surreal0(k12_surreali(esk1_0)))|~r2_surrealo(esk1_0,k7_surreali(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76, c_0_50]), c_0_58]), c_0_51])])).
cnf(c_0_82, negated_conjecture, (r3_surrealo(k1_surreal0(esk2_0),k1_surreal0(k12_surreali(esk1_0)))|~r2_surrealo(esk1_0,k7_surreali(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77, c_0_50]), c_0_58]), c_0_51])])).
cnf(c_0_83, plain, (r2_surrealo(X2,X1)|~v2_surreal0(X1)|~v2_surreal0(X2)|~r2_surrealo(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_78])).
cnf(c_0_84, plain, (r2_surrealo(X1,k7_surreali(X1))|~v2_surreal0(X1)|~v2_surreali(X1)), inference(split_conjunct,[status(thm)],[c_0_79])).
cnf(c_0_85, negated_conjecture, (~r2_surrealo(k7_surreali(esk1_0),esk1_0)|~r2_surrealo(esk1_0,k7_surreali(esk1_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_80, c_0_81]), c_0_82])).
cnf(c_0_86, plain, (r2_surrealo(k7_surreali(X1),X1)|~v2_surreali(X1)|~v2_surreal0(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83, c_0_84]), c_0_58])])).
cnf(c_0_87, negated_conjecture, (~r2_surrealo(esk1_0,k7_surreali(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85, c_0_86]), c_0_59]), c_0_51])])).
cnf(c_0_88, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87, c_0_84]), c_0_59]), c_0_51])]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 89
# Proof object clause steps            : 58
# Proof object formula steps           : 31
# Proof object conjectures             : 39
# Proof object clause conjectures      : 36
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 19
# Proof object initial formulas used   : 15
# Proof object generating inferences   : 34
# Proof object simplifying inferences  : 59
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 15
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 22
# Removed in clause preprocessing      : 2
# Initial clauses in saturation        : 20
# Processed clauses                    : 363
# ...of these trivial                  : 0
# ...subsumed                          : 143
# ...remaining for further processing  : 220
# Other redundant clauses eliminated   : 2
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 24
# Backward-rewritten                   : 3
# Generated clauses                    : 625
# ...of the previous two non-trivial   : 603
# Contextual simplify-reflections      : 21
# Paramodulations                      : 624
# Factorizations                       : 0
# NegExts                              : 0
# Equation resolutions                 : 2
# 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  : 172
#    Positive orientable unit clauses  : 12
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 2
#    Non-unit-clauses                  : 158
# Current number of unprocessed clauses: 278
# ...number of literals in the above   : 1620
# Current number of archived formulas  : 0
# Current number of archived clauses   : 49
# Clause-clause subsumption calls (NU) : 6453
# Rec. Clause-clause subsumption calls : 969
# Non-unit clause-clause subsumptions  : 188
# Unit Clause-clause subsumption calls : 145
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 3
# BW rewrite match successes           : 3
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 29119

# -------------------------------------------------
# User time                : 0.035 s
# System time              : 0.006 s
# Total time               : 0.041 s
# Maximum resident set size: 3400 pages
