# 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       : 0.021 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(fc6_surreal0, axiom, ![X1]:(v2_surreal0(X1)=>v3_surreal0(k1_xtuple_0(X1))), file('surreali/surreali__t38_surreali', fc6_surreal0)).
fof(redefinition_k1_surreal0, axiom, ![X1]:k1_surreal0(X1)=k1_xtuple_0(X1), file('surreali/surreali__t38_surreali', redefinition_k1_surreal0)).
fof(rd1_xtuple_0, axiom, ![X1, X2]:k1_xtuple_0(k4_tarski(X1,X2))=X1, file('surreali/surreali__t38_surreali', rd1_xtuple_0)).
fof(fc7_surreal0, axiom, ![X1]:(v2_surreal0(X1)=>v3_surreal0(k2_xtuple_0(X1))), file('surreali/surreali__t38_surreali', fc7_surreal0)).
fof(redefinition_k2_surreal0, axiom, ![X1]:k2_surreal0(X1)=k2_xtuple_0(X1), file('surreali/surreali__t38_surreali', redefinition_k2_surreal0)).
fof(rd2_xtuple_0, axiom, ![X1, X2]:k2_xtuple_0(k4_tarski(X1,X2))=X2, file('surreali/surreali__t38_surreali', rd2_xtuple_0)).
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__t38_surreali', t36_surreali)).
fof(t37_surreali, axiom, ![X1]:(v3_surreal0(X1)=>![X2]:(v3_surreal0(X2)=>![X3]:(v3_surreal0(X3)=>![X4]:(v3_surreal0(X4)=>(((r3_surrealo(X2,X1)&r3_surrealo(X4,X3))&v2_surreal0(k4_tarski(X1,X3)))=>v2_surreal0(k4_tarski(X2,X4))))))), file('surreali/surreali__t38_surreali', t37_surreali)).
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__t38_surreali', t31_surrealo)).
fof(dt_k12_surreali, axiom, ![X1]:(v2_surreal0(X1)=>v2_surreal0(k12_surreali(X1))), file('surreali/surreali__t38_surreali', dt_k12_surreali)).
fof(reflexivity_r3_surrealo, axiom, ![X1, X2]:r3_surrealo(X1,X1), file('surreali/surreali__t38_surreali', reflexivity_r3_surrealo)).
fof(fc8_surreal0, axiom, ![X1, X2]:((v3_surreal0(X1)&v3_surreal0(X2))=>v3_surreal0(k2_xboole_0(X1,X2))), file('surreali/surreali__t38_surreali', fc8_surreal0)).
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__t38_surreali', t35_surreali)).
fof(dt_k7_surreali, axiom, ![X1]:(v2_surreal0(k7_surreali(X1))&v2_surreali(k7_surreali(X1))), file('surreali/surreali__t38_surreali', dt_k7_surreali)).
fof(fc5_surreali, axiom, ![X1, X2, X3]:(v2_surreal0(X3)=>v3_surreal0(k13_surreali(X1,X2,X3))), file('surreali/surreali__t38_surreali', fc5_surreali)).
fof(t38_surreali, conjecture, ![X1]:(v2_surreal0(X1)=>(v2_surreali(X1)=>v2_surreal0(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)))))), file('surreali/surreali__t38_surreali', t38_surreali)).
fof(t18_surreali, axiom, ![X1]:(v2_surreal0(X1)=>(v2_surreali(X1)=>r2_surrealo(X1,k7_surreali(X1)))), file('surreali/surreali__t38_surreali', t18_surreali)).
fof(fc5_surreal0, axiom, ![X1]:(v2_surreal0(X1)=>v3_surreal0(k1_tarski(X1))), file('surreali/surreali__t38_surreali', fc5_surreal0)).
fof(dt_k11_surreal0, axiom, v2_surreal0(k11_surreal0), file('surreali/surreali__t38_surreali', dt_k11_surreal0)).
fof(c_0_19, plain, ![X45]:(~v2_surreal0(X45)|v3_surreal0(k1_xtuple_0(X45))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc6_surreal0])])).
fof(c_0_20, plain, ![X53]:k1_surreal0(X53)=k1_xtuple_0(X53), inference(variable_rename,[status(thm)],[redefinition_k1_surreal0])).
fof(c_0_21, plain, ![X49, X50]:k1_xtuple_0(k4_tarski(X49,X50))=X49, inference(variable_rename,[status(thm)],[rd1_xtuple_0])).
fof(c_0_22, plain, ![X46]:(~v2_surreal0(X46)|v3_surreal0(k2_xtuple_0(X46))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc7_surreal0])])).
fof(c_0_23, plain, ![X54]:k2_surreal0(X54)=k2_xtuple_0(X54), inference(variable_rename,[status(thm)],[redefinition_k2_surreal0])).
fof(c_0_24, plain, ![X51, X52]:k2_xtuple_0(k4_tarski(X51,X52))=X52, inference(variable_rename,[status(thm)],[rd2_xtuple_0])).
cnf(c_0_25, plain, (v3_surreal0(k1_xtuple_0(X1))|~v2_surreal0(X1)), inference(split_conjunct,[status(thm)],[c_0_19])).
cnf(c_0_26, plain, (k1_surreal0(X1)=k1_xtuple_0(X1)), inference(split_conjunct,[status(thm)],[c_0_20])).
cnf(c_0_27, plain, (k1_xtuple_0(k4_tarski(X1,X2))=X1), inference(split_conjunct,[status(thm)],[c_0_21])).
cnf(c_0_28, plain, (v3_surreal0(k2_xtuple_0(X1))|~v2_surreal0(X1)), inference(split_conjunct,[status(thm)],[c_0_22])).
cnf(c_0_29, plain, (k2_surreal0(X1)=k2_xtuple_0(X1)), inference(split_conjunct,[status(thm)],[c_0_23])).
cnf(c_0_30, plain, (k2_xtuple_0(k4_tarski(X1,X2))=X2), inference(split_conjunct,[status(thm)],[c_0_24])).
fof(c_0_31, plain, ![X65]:(~v2_surreal0(X65)|(~v2_surreali(X65)|k12_surreali(X65)=k4_tarski(k2_xboole_0(k2_xboole_0(k1_tarski(k11_surreal0),k13_surreali(k2_surreal0(X65),k1_surreal0(k12_surreali(X65)),k7_surreali(X65))),k13_surreali(k1_surreal0(X65),k2_surreal0(k12_surreali(X65)),k7_surreali(X65))),k2_xboole_0(k13_surreali(k1_surreal0(X65),k1_surreal0(k12_surreali(X65)),k7_surreali(X65)),k13_surreali(k2_surreal0(X65),k2_surreal0(k12_surreali(X65)),k7_surreali(X65)))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t36_surreali])])).
fof(c_0_32, plain, ![X66, X67, X68, X69]:(~v3_surreal0(X66)|(~v3_surreal0(X67)|(~v3_surreal0(X68)|(~v3_surreal0(X69)|(~r3_surrealo(X67,X66)|~r3_surrealo(X69,X68)|~v2_surreal0(k4_tarski(X66,X68))|v2_surreal0(k4_tarski(X67,X69))))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t37_surreali])])])).
cnf(c_0_33, plain, (v3_surreal0(k1_surreal0(X1))|~v2_surreal0(X1)), inference(rw,[status(thm)],[c_0_25, c_0_26])).
cnf(c_0_34, plain, (k1_surreal0(k4_tarski(X1,X2))=X1), inference(rw,[status(thm)],[c_0_27, c_0_26])).
cnf(c_0_35, plain, (v3_surreal0(k2_surreal0(X1))|~v2_surreal0(X1)), inference(rw,[status(thm)],[c_0_28, c_0_29])).
cnf(c_0_36, plain, (k2_surreal0(k4_tarski(X1,X2))=X2), inference(rw,[status(thm)],[c_0_30, c_0_29])).
fof(c_0_37, plain, ![X57, X58, X59, X60]:(~r3_surrealo(X57,X58)|~r3_surrealo(X59,X60)|r3_surrealo(k2_xboole_0(X57,X59),k2_xboole_0(X58,X60))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t31_surrealo])])).
cnf(c_0_38, 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_31])).
fof(c_0_39, plain, ![X39]:(~v2_surreal0(X39)|v2_surreal0(k12_surreali(X39))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k12_surreali])])).
cnf(c_0_40, plain, (v2_surreal0(k4_tarski(X2,X4))|~v3_surreal0(X1)|~v3_surreal0(X2)|~v3_surreal0(X3)|~v3_surreal0(X4)|~r3_surrealo(X2,X1)|~r3_surrealo(X4,X3)|~v2_surreal0(k4_tarski(X1,X3))), inference(split_conjunct,[status(thm)],[c_0_32])).
cnf(c_0_41, plain, (v3_surreal0(X1)|~v2_surreal0(k4_tarski(X1,X2))), inference(spm,[status(thm)],[c_0_33, c_0_34])).
cnf(c_0_42, plain, (v3_surreal0(X1)|~v2_surreal0(k4_tarski(X2,X1))), inference(spm,[status(thm)],[c_0_35, c_0_36])).
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_37])).
cnf(c_0_44, 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_34, c_0_38])).
fof(c_0_45, plain, ![X55]:r3_surrealo(X55,X55), inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[reflexivity_r3_surrealo])])).
cnf(c_0_46, plain, (v2_surreal0(k12_surreali(X1))|~v2_surreal0(X1)), inference(split_conjunct,[status(thm)],[c_0_39])).
cnf(c_0_47, plain, (v2_surreal0(k4_tarski(X1,X2))|~r3_surrealo(X2,X3)|~r3_surrealo(X1,X4)|~v3_surreal0(X2)|~v3_surreal0(X1)|~v2_surreal0(k4_tarski(X4,X3))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_40, c_0_41]), c_0_42])).
cnf(c_0_48, plain, (r3_surrealo(k1_surreal0(k12_surreali(X1)),k2_xboole_0(X2,X3))|~r3_surrealo(k2_xboole_0(k1_tarski(k11_surreal0),k13_surreali(k2_surreal0(X1),k1_surreal0(k12_surreali(X1)),k7_surreali(X1))),X2)|~r3_surrealo(k13_surreali(k1_surreal0(X1),k2_surreal0(k12_surreali(X1)),k7_surreali(X1)),X3)|~v2_surreali(X1)|~v2_surreal0(X1)), inference(spm,[status(thm)],[c_0_43, c_0_44])).
cnf(c_0_49, plain, (r3_surrealo(X1,X1)), inference(split_conjunct,[status(thm)],[c_0_45])).
cnf(c_0_50, plain, (v3_surreal0(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))))|~v2_surreali(X1)|~v2_surreal0(X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_41, c_0_38]), c_0_46])).
cnf(c_0_51, plain, (v2_surreal0(k4_tarski(X1,X2))|~r3_surrealo(X1,k2_xboole_0(k2_xboole_0(k1_tarski(k11_surreal0),k13_surreali(k2_surreal0(X3),k1_surreal0(k12_surreali(X3)),k7_surreali(X3))),k13_surreali(k1_surreal0(X3),k2_surreal0(k12_surreali(X3)),k7_surreali(X3))))|~r3_surrealo(X2,k2_xboole_0(k13_surreali(k1_surreal0(X3),k1_surreal0(k12_surreali(X3)),k7_surreali(X3)),k13_surreali(k2_surreal0(X3),k2_surreal0(k12_surreali(X3)),k7_surreali(X3))))|~v3_surreal0(X2)|~v3_surreal0(X1)|~v2_surreali(X3)|~v2_surreal0(X3)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_47, c_0_38]), c_0_46])).
cnf(c_0_52, plain, (r3_surrealo(k1_surreal0(k12_surreali(X1)),k2_xboole_0(k2_xboole_0(k1_tarski(k11_surreal0),k13_surreali(k2_surreal0(X1),k1_surreal0(k12_surreali(X1)),k7_surreali(X1))),X2))|~r3_surrealo(k13_surreali(k1_surreal0(X1),k2_surreal0(k12_surreali(X1)),k7_surreali(X1)),X2)|~v2_surreali(X1)|~v2_surreal0(X1)), inference(spm,[status(thm)],[c_0_48, c_0_49])).
cnf(c_0_53, plain, (v3_surreal0(k1_surreal0(k12_surreali(X1)))|~v2_surreali(X1)|~v2_surreal0(X1)), inference(spm,[status(thm)],[c_0_50, c_0_44])).
cnf(c_0_54, plain, (v2_surreal0(k4_tarski(k1_surreal0(k12_surreali(X1)),X2))|~r3_surrealo(X2,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))))|~v3_surreal0(X2)|~v2_surreali(X1)|~v2_surreal0(X1)), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51, c_0_52]), c_0_49])]), c_0_53])).
cnf(c_0_55, 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_36, c_0_38])).
cnf(c_0_56, plain, (v2_surreal0(k4_tarski(k1_surreal0(k12_surreali(X1)),X2))|~r3_surrealo(X2,k2_surreal0(k12_surreali(X1)))|~v3_surreal0(X2)|~v2_surreali(X1)|~v2_surreal0(X1)), inference(spm,[status(thm)],[c_0_54, c_0_55])).
cnf(c_0_57, plain, (v2_surreal0(k4_tarski(X1,X2))|~r3_surrealo(X1,k1_surreal0(k12_surreali(X3)))|~r3_surrealo(X4,k2_surreal0(k12_surreali(X3)))|~r3_surrealo(X2,X4)|~v3_surreal0(X2)|~v3_surreal0(X1)|~v3_surreal0(X4)|~v2_surreali(X3)|~v2_surreal0(X3)), inference(spm,[status(thm)],[c_0_47, c_0_56])).
cnf(c_0_58, plain, (r3_surrealo(k2_xboole_0(X1,X2),k2_surreal0(k12_surreali(X3)))|~r3_surrealo(X2,k13_surreali(k2_surreal0(X3),k2_surreal0(k12_surreali(X3)),k7_surreali(X3)))|~r3_surrealo(X1,k13_surreali(k1_surreal0(X3),k1_surreal0(k12_surreali(X3)),k7_surreali(X3)))|~v2_surreali(X3)|~v2_surreal0(X3)), inference(spm,[status(thm)],[c_0_43, c_0_55])).
cnf(c_0_59, plain, (v2_surreal0(k4_tarski(k1_surreal0(k12_surreali(X1)),X2))|~r3_surrealo(X3,k2_surreal0(k12_surreali(X1)))|~r3_surrealo(X2,X3)|~v3_surreal0(X2)|~v3_surreal0(X3)|~v2_surreali(X1)|~v2_surreal0(X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_57, c_0_49]), c_0_53])).
cnf(c_0_60, plain, (r3_surrealo(k2_xboole_0(X1,k13_surreali(k2_surreal0(X2),k2_surreal0(k12_surreali(X2)),k7_surreali(X2))),k2_surreal0(k12_surreali(X2)))|~r3_surrealo(X1,k13_surreali(k1_surreal0(X2),k1_surreal0(k12_surreali(X2)),k7_surreali(X2)))|~v2_surreali(X2)|~v2_surreal0(X2)), inference(spm,[status(thm)],[c_0_58, c_0_49])).
cnf(c_0_61, plain, (v2_surreal0(k4_tarski(k1_surreal0(k12_surreali(X1)),X2))|~r3_surrealo(X2,k2_xboole_0(X3,k13_surreali(k2_surreal0(X1),k2_surreal0(k12_surreali(X1)),k7_surreali(X1))))|~r3_surrealo(X3,k13_surreali(k1_surreal0(X1),k1_surreal0(k12_surreali(X1)),k7_surreali(X1)))|~v3_surreal0(k2_xboole_0(X3,k13_surreali(k2_surreal0(X1),k2_surreal0(k12_surreali(X1)),k7_surreali(X1))))|~v3_surreal0(X2)|~v2_surreali(X1)|~v2_surreal0(X1)), inference(spm,[status(thm)],[c_0_59, c_0_60])).
fof(c_0_62, plain, ![X47, X48]:(~v3_surreal0(X47)|~v3_surreal0(X48)|v3_surreal0(k2_xboole_0(X47,X48))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc8_surreal0])])).
cnf(c_0_63, plain, (v2_surreal0(k4_tarski(k1_surreal0(k12_surreali(X1)),k2_xboole_0(X2,X3)))|~r3_surrealo(X4,k13_surreali(k1_surreal0(X1),k1_surreal0(k12_surreali(X1)),k7_surreali(X1)))|~r3_surrealo(X3,k13_surreali(k2_surreal0(X1),k2_surreal0(k12_surreali(X1)),k7_surreali(X1)))|~r3_surrealo(X2,X4)|~v3_surreal0(k2_xboole_0(X4,k13_surreali(k2_surreal0(X1),k2_surreal0(k12_surreali(X1)),k7_surreali(X1))))|~v3_surreal0(k2_xboole_0(X2,X3))|~v2_surreali(X1)|~v2_surreal0(X1)), inference(spm,[status(thm)],[c_0_61, c_0_43])).
cnf(c_0_64, plain, (v3_surreal0(k2_xboole_0(X1,X2))|~v3_surreal0(X1)|~v3_surreal0(X2)), inference(split_conjunct,[status(thm)],[c_0_62])).
fof(c_0_65, plain, ![X61, X62, X63, X64]:(~v2_surreal0(X61)|(~v2_surreal0(X62)|(~r2_surrealo(X61,X62)|r3_surrealo(k13_surreali(X63,X64,X61),k13_surreali(X63,X64,X62))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t35_surreali])])])).
fof(c_0_66, plain, ![X40]:(v2_surreal0(k7_surreali(X40))&v2_surreali(k7_surreali(X40))), inference(variable_rename,[status(thm)],[dt_k7_surreali])).
fof(c_0_67, plain, ![X42, X43, X44]:(~v2_surreal0(X44)|v3_surreal0(k13_surreali(X42,X43,X44))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc5_surreali])])).
cnf(c_0_68, plain, (v2_surreal0(k4_tarski(k1_surreal0(k12_surreali(X1)),k2_xboole_0(X2,X3)))|~r3_surrealo(X4,k13_surreali(k1_surreal0(X1),k1_surreal0(k12_surreali(X1)),k7_surreali(X1)))|~r3_surrealo(X3,k13_surreali(k2_surreal0(X1),k2_surreal0(k12_surreali(X1)),k7_surreali(X1)))|~r3_surrealo(X2,X4)|~v3_surreal0(k13_surreali(k2_surreal0(X1),k2_surreal0(k12_surreali(X1)),k7_surreali(X1)))|~v3_surreal0(k2_xboole_0(X2,X3))|~v3_surreal0(X4)|~v2_surreali(X1)|~v2_surreal0(X1)), inference(spm,[status(thm)],[c_0_63, c_0_64])).
cnf(c_0_69, 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_65])).
cnf(c_0_70, plain, (v2_surreal0(k7_surreali(X1))), inference(split_conjunct,[status(thm)],[c_0_66])).
cnf(c_0_71, plain, (v3_surreal0(k13_surreali(X2,X3,X1))|~v2_surreal0(X1)), inference(split_conjunct,[status(thm)],[c_0_67])).
cnf(c_0_72, plain, (v2_surreal0(k4_tarski(k1_surreal0(k12_surreali(X1)),k2_xboole_0(X2,X3)))|~r2_surrealo(X4,k7_surreali(X1))|~r3_surrealo(X3,k13_surreali(k2_surreal0(X1),k2_surreal0(k12_surreali(X1)),k7_surreali(X1)))|~r3_surrealo(X2,k13_surreali(k1_surreal0(X1),k1_surreal0(k12_surreali(X1)),X4))|~v3_surreal0(k13_surreali(k2_surreal0(X1),k2_surreal0(k12_surreali(X1)),k7_surreali(X1)))|~v3_surreal0(k2_xboole_0(X2,X3))|~v2_surreali(X1)|~v2_surreal0(X1)|~v2_surreal0(X4)), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68, c_0_69]), c_0_70])]), c_0_71])).
cnf(c_0_73, plain, (v2_surreal0(k4_tarski(k1_surreal0(k12_surreali(X1)),k2_xboole_0(X2,k13_surreali(k2_surreal0(X1),k2_surreal0(k12_surreali(X1)),k7_surreali(X1)))))|~r2_surrealo(X3,k7_surreali(X1))|~r3_surrealo(X2,k13_surreali(k1_surreal0(X1),k1_surreal0(k12_surreali(X1)),X3))|~v3_surreal0(k2_xboole_0(X2,k13_surreali(k2_surreal0(X1),k2_surreal0(k12_surreali(X1)),k7_surreali(X1))))|~v3_surreal0(k13_surreali(k2_surreal0(X1),k2_surreal0(k12_surreali(X1)),k7_surreali(X1)))|~v2_surreali(X1)|~v2_surreal0(X1)|~v2_surreal0(X3)), inference(spm,[status(thm)],[c_0_72, c_0_49])).
cnf(c_0_74, plain, (v2_surreal0(k4_tarski(k1_surreal0(k12_surreali(X1)),k2_xboole_0(X2,k13_surreali(k2_surreal0(X1),k2_surreal0(k12_surreali(X1)),k7_surreali(X1)))))|~r2_surrealo(X3,k7_surreali(X1))|~r3_surrealo(X2,k13_surreali(k1_surreal0(X1),k1_surreal0(k12_surreali(X1)),X3))|~v3_surreal0(k13_surreali(k2_surreal0(X1),k2_surreal0(k12_surreali(X1)),k7_surreali(X1)))|~v3_surreal0(X2)|~v2_surreali(X1)|~v2_surreal0(X1)|~v2_surreal0(X3)), inference(spm,[status(thm)],[c_0_73, c_0_64])).
cnf(c_0_75, plain, (v2_surreal0(k4_tarski(k1_surreal0(k12_surreali(X1)),k2_xboole_0(X2,k13_surreali(k2_surreal0(X1),k2_surreal0(k12_surreali(X1)),k7_surreali(X1)))))|~r2_surrealo(X3,k7_surreali(X1))|~r3_surrealo(X2,k13_surreali(k1_surreal0(X1),k1_surreal0(k12_surreali(X1)),X3))|~v3_surreal0(X2)|~v2_surreali(X1)|~v2_surreal0(X1)|~v2_surreal0(X3)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74, c_0_71]), c_0_70])])).
cnf(c_0_76, plain, (v2_surreal0(k4_tarski(k1_surreal0(k12_surreali(X1)),k2_xboole_0(k13_surreali(k1_surreal0(X1),k1_surreal0(k12_surreali(X1)),X2),k13_surreali(k2_surreal0(X1),k2_surreal0(k12_surreali(X1)),k7_surreali(X1)))))|~r2_surrealo(X2,k7_surreali(X1))|~v2_surreali(X1)|~v2_surreal0(X1)|~v2_surreal0(X2)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_75, c_0_49]), c_0_71])).
cnf(c_0_77, plain, (v2_surreal0(k4_tarski(X1,X2))|~r2_surrealo(X3,k7_surreali(X4))|~r3_surrealo(X2,k2_xboole_0(k13_surreali(k1_surreal0(X4),k1_surreal0(k12_surreali(X4)),X3),k13_surreali(k2_surreal0(X4),k2_surreal0(k12_surreali(X4)),k7_surreali(X4))))|~r3_surrealo(X1,k1_surreal0(k12_surreali(X4)))|~v3_surreal0(X2)|~v3_surreal0(X1)|~v2_surreali(X4)|~v2_surreal0(X4)|~v2_surreal0(X3)), inference(spm,[status(thm)],[c_0_47, c_0_76])).
cnf(c_0_78, plain, (v2_surreal0(k4_tarski(X1,k2_xboole_0(X2,X3)))|~r2_surrealo(X4,k7_surreali(X5))|~r3_surrealo(X3,k13_surreali(k2_surreal0(X5),k2_surreal0(k12_surreali(X5)),k7_surreali(X5)))|~r3_surrealo(X2,k13_surreali(k1_surreal0(X5),k1_surreal0(k12_surreali(X5)),X4))|~r3_surrealo(X1,k1_surreal0(k12_surreali(X5)))|~v3_surreal0(k2_xboole_0(X2,X3))|~v3_surreal0(X1)|~v2_surreali(X5)|~v2_surreal0(X5)|~v2_surreal0(X4)), inference(spm,[status(thm)],[c_0_77, c_0_43])).
fof(c_0_79, negated_conjecture, ~(![X1]:(v2_surreal0(X1)=>(v2_surreali(X1)=>v2_surreal0(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))))))), inference(assume_negation,[status(cth)],[t38_surreali])).
cnf(c_0_80, plain, (v2_surreal0(k4_tarski(X1,k2_xboole_0(X2,k13_surreali(k2_surreal0(X3),k2_surreal0(k12_surreali(X3)),X4))))|~r2_surrealo(X5,k7_surreali(X3))|~r2_surrealo(X4,k7_surreali(X3))|~r3_surrealo(X2,k13_surreali(k1_surreal0(X3),k1_surreal0(k12_surreali(X3)),X5))|~r3_surrealo(X1,k1_surreal0(k12_surreali(X3)))|~v3_surreal0(k2_xboole_0(X2,k13_surreali(k2_surreal0(X3),k2_surreal0(k12_surreali(X3)),X4)))|~v3_surreal0(X1)|~v2_surreali(X3)|~v2_surreal0(X3)|~v2_surreal0(X5)|~v2_surreal0(X4)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78, c_0_69]), c_0_70])])).
fof(c_0_81, negated_conjecture, (v2_surreal0(esk1_0)&(v2_surreali(esk1_0)&~v2_surreal0(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(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_79])])])).
cnf(c_0_82, plain, (v2_surreal0(k4_tarski(X1,k2_xboole_0(X2,k13_surreali(k2_surreal0(X3),k2_surreal0(k12_surreali(X3)),X4))))|~r2_surrealo(X5,k7_surreali(X3))|~r2_surrealo(X4,k7_surreali(X3))|~r3_surrealo(X2,k13_surreali(k1_surreal0(X3),k1_surreal0(k12_surreali(X3)),X5))|~r3_surrealo(X1,k1_surreal0(k12_surreali(X3)))|~v3_surreal0(X1)|~v3_surreal0(X2)|~v2_surreali(X3)|~v2_surreal0(X3)|~v2_surreal0(X5)|~v2_surreal0(X4)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_80, c_0_64]), c_0_71])).
cnf(c_0_83, plain, (r3_surrealo(k2_xboole_0(X1,X2),k1_surreal0(k12_surreali(X3)))|~r3_surrealo(X1,k2_xboole_0(k1_tarski(k11_surreal0),k13_surreali(k2_surreal0(X3),k1_surreal0(k12_surreali(X3)),k7_surreali(X3))))|~r3_surrealo(X2,k13_surreali(k1_surreal0(X3),k2_surreal0(k12_surreali(X3)),k7_surreali(X3)))|~v2_surreali(X3)|~v2_surreal0(X3)), inference(spm,[status(thm)],[c_0_43, c_0_44])).
cnf(c_0_84, negated_conjecture, (~v2_surreal0(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_81])).
cnf(c_0_85, plain, (v2_surreal0(k4_tarski(X1,k2_xboole_0(k13_surreali(k1_surreal0(X2),k1_surreal0(k12_surreali(X2)),X3),k13_surreali(k2_surreal0(X2),k2_surreal0(k12_surreali(X2)),X4))))|~r2_surrealo(X3,k7_surreali(X2))|~r2_surrealo(X4,k7_surreali(X2))|~r3_surrealo(X1,k1_surreal0(k12_surreali(X2)))|~v3_surreal0(X1)|~v2_surreali(X2)|~v2_surreal0(X2)|~v2_surreal0(X3)|~v2_surreal0(X4)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_82, c_0_49]), c_0_71])).
cnf(c_0_86, negated_conjecture, (v2_surreali(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_81])).
cnf(c_0_87, negated_conjecture, (v2_surreal0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_81])).
cnf(c_0_88, plain, (r3_surrealo(k2_xboole_0(k2_xboole_0(X1,X2),X3),k1_surreal0(k12_surreali(X4)))|~r3_surrealo(X3,k13_surreali(k1_surreal0(X4),k2_surreal0(k12_surreali(X4)),k7_surreali(X4)))|~r3_surrealo(X2,k13_surreali(k2_surreal0(X4),k1_surreal0(k12_surreali(X4)),k7_surreali(X4)))|~r3_surrealo(X1,k1_tarski(k11_surreal0))|~v2_surreali(X4)|~v2_surreal0(X4)), inference(spm,[status(thm)],[c_0_83, c_0_43])).
cnf(c_0_89, negated_conjecture, (~r2_surrealo(esk1_0,k7_surreali(esk1_0))|~r3_surrealo(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(k12_surreali(esk1_0)))|~v3_surreal0(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)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84, c_0_85]), c_0_86]), c_0_87])])).
cnf(c_0_90, plain, (r3_surrealo(k2_xboole_0(k2_xboole_0(X1,X2),k13_surreali(k1_surreal0(X3),k2_surreal0(k12_surreali(X3)),X4)),k1_surreal0(k12_surreali(X3)))|~r2_surrealo(X4,k7_surreali(X3))|~r3_surrealo(X2,k13_surreali(k2_surreal0(X3),k1_surreal0(k12_surreali(X3)),k7_surreali(X3)))|~r3_surrealo(X1,k1_tarski(k11_surreal0))|~v2_surreali(X3)|~v2_surreal0(X3)|~v2_surreal0(X4)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88, c_0_69]), c_0_70])])).
cnf(c_0_91, negated_conjecture, (~r2_surrealo(esk1_0,k7_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)))|~v3_surreal0(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)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89, c_0_90]), c_0_49]), c_0_86]), c_0_87])])).
cnf(c_0_92, negated_conjecture, (~r2_surrealo(esk1_0,k7_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)))|~v3_surreal0(k2_xboole_0(k1_tarski(k11_surreal0),k13_surreali(k2_surreal0(esk1_0),k1_surreal0(k12_surreali(esk1_0)),esk1_0)))|~v3_surreal0(k13_surreali(k1_surreal0(esk1_0),k2_surreal0(k12_surreali(esk1_0)),esk1_0))), inference(spm,[status(thm)],[c_0_91, c_0_64])).
cnf(c_0_93, negated_conjecture, (~r2_surrealo(esk1_0,k7_surreali(esk1_0))|~v3_surreal0(k2_xboole_0(k1_tarski(k11_surreal0),k13_surreali(k2_surreal0(esk1_0),k1_surreal0(k12_surreali(esk1_0)),esk1_0)))|~v3_surreal0(k13_surreali(k1_surreal0(esk1_0),k2_surreal0(k12_surreali(esk1_0)),esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92, c_0_69]), c_0_70]), c_0_87])])).
cnf(c_0_94, negated_conjecture, (~r2_surrealo(esk1_0,k7_surreali(esk1_0))|~v3_surreal0(k13_surreali(k1_surreal0(esk1_0),k2_surreal0(k12_surreali(esk1_0)),esk1_0))|~v3_surreal0(k13_surreali(k2_surreal0(esk1_0),k1_surreal0(k12_surreali(esk1_0)),esk1_0))|~v3_surreal0(k1_tarski(k11_surreal0))), inference(spm,[status(thm)],[c_0_93, c_0_64])).
cnf(c_0_95, negated_conjecture, (~r2_surrealo(esk1_0,k7_surreali(esk1_0))|~v3_surreal0(k13_surreali(k1_surreal0(esk1_0),k2_surreal0(k12_surreali(esk1_0)),esk1_0))|~v3_surreal0(k1_tarski(k11_surreal0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94, c_0_71]), c_0_87])])).
fof(c_0_96, plain, ![X56]:(~v2_surreal0(X56)|(~v2_surreali(X56)|r2_surrealo(X56,k7_surreali(X56)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t18_surreali])])).
cnf(c_0_97, negated_conjecture, (~r2_surrealo(esk1_0,k7_surreali(esk1_0))|~v3_surreal0(k1_tarski(k11_surreal0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95, c_0_71]), c_0_87])])).
cnf(c_0_98, plain, (r2_surrealo(X1,k7_surreali(X1))|~v2_surreal0(X1)|~v2_surreali(X1)), inference(split_conjunct,[status(thm)],[c_0_96])).
fof(c_0_99, plain, ![X41]:(~v2_surreal0(X41)|v3_surreal0(k1_tarski(X41))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc5_surreal0])])).
cnf(c_0_100, negated_conjecture, (~v3_surreal0(k1_tarski(k11_surreal0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97, c_0_98]), c_0_86]), c_0_87])])).
cnf(c_0_101, plain, (v3_surreal0(k1_tarski(X1))|~v2_surreal0(X1)), inference(split_conjunct,[status(thm)],[c_0_99])).
cnf(c_0_102, plain, (v2_surreal0(k11_surreal0)), inference(split_conjunct,[status(thm)],[dt_k11_surreal0])).
cnf(c_0_103, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100, c_0_101]), c_0_102])]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 104
# Proof object clause steps            : 66
# Proof object formula steps           : 38
# Proof object conjectures             : 15
# Proof object clause conjectures      : 12
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 21
# Proof object initial formulas used   : 19
# Proof object generating inferences   : 40
# Proof object simplifying inferences  : 43
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 19
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 22
# Removed in clause preprocessing      : 2
# Initial clauses in saturation        : 20
# Processed clauses                    : 1078
# ...of these trivial                  : 0
# ...subsumed                          : 718
# ...remaining for further processing  : 360
# Other redundant clauses eliminated   : 0
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 34
# Backward-rewritten                   : 0
# Generated clauses                    : 4071
# ...of the previous two non-trivial   : 3998
# Contextual simplify-reflections      : 62
# Paramodulations                      : 4071
# Factorizations                       : 0
# 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  : 306
#    Positive orientable unit clauses  : 8
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 3
#    Non-unit-clauses                  : 295
# Current number of unprocessed clauses: 2945
# ...number of literals in the above   : 25811
# Current number of archived formulas  : 0
# Current number of archived clauses   : 56
# Clause-clause subsumption calls (NU) : 48195
# Rec. Clause-clause subsumption calls : 3961
# Non-unit clause-clause subsumptions  : 814
# Unit Clause-clause subsumption calls : 161
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 0
# BW rewrite match successes           : 0
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 294798

# -------------------------------------------------
# User time                : 0.209 s
# System time              : 0.010 s
# Total time               : 0.219 s
# Maximum resident set size: 3356 pages
