# 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       : 0.020 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(t16_ordinal1, axiom, ![X1]:(v3_ordinal1(X1)=>![X2]:(v3_ordinal1(X2)=>(r1_ordinal1(X1,X2)|r2_tarski(X2,X1)))), file('surrealn/surrealn__t73_surrealn', t16_ordinal1)).
fof(dt_k12_surreal0, axiom, ![X1]:(v2_surreal0(X1)=>v3_ordinal1(k12_surreal0(X1))), file('surrealn/surrealn__t73_surrealn', dt_k12_surreal0)).
fof(fc23_surrealn, axiom, ![X1]:(v3_ordinal1(X1)=>v2_surreal0(k8_surrealn(X1))), file('surrealn/surrealn__t73_surrealn', fc23_surrealn)).
fof(t73_surrealn, conjecture, ![X1]:(v3_ordinal1(X1)=>(r2_surrealo(k9_surrealn(X1),k8_surrealn(X1))&k12_surreal0(k9_surrealn(X1))=X1)), file('surrealn/surrealn__t73_surrealn', t73_surrealn)).
fof(d10_xboole_0, axiom, ![X1, X2]:(X1=X2<=>(r1_tarski(X1,X2)&r1_tarski(X2,X1))), file('surrealn/surrealn__t73_surrealn', d10_xboole_0)).
fof(redefinition_r1_ordinal1, axiom, ![X1, X2]:((v3_ordinal1(X1)&v3_ordinal1(X2))=>(r1_ordinal1(X1,X2)<=>r1_tarski(X1,X2))), file('surrealn/surrealn__t73_surrealn', redefinition_r1_ordinal1)).
fof(d18_surreal0, axiom, ![X1]:(v2_surreal0(X1)=>![X2]:(v3_ordinal1(X2)=>(X2=k12_surreal0(X1)<=>(r2_tarski(X1,k10_surreal0(X2))&![X3]:(v3_ordinal1(X3)=>(r2_tarski(X1,k10_surreal0(X3))=>r1_ordinal1(X2,X3))))))), file('surrealn/surrealn__t73_surrealn', d18_surreal0)).
fof(d10_surrealo, axiom, ![X1]:(v2_surreal0(X1)=>![X2]:(v2_surreal0(X2)=>(X2=k6_surrealo(X1)<=>(r2_surrealo(X2,X1)&r2_tarski(X2,k1_funct_1(k5_surrealo(k2_surrealo(X1)),k2_surrealo(X1))))))), file('surrealn/surrealn__t73_surrealn', d10_surrealo)).
fof(t68_surrealn, axiom, ![X1]:(v3_ordinal1(X1)=>![X2]:(v3_ordinal1(X2)=>(~(r5_surreal0(k8_surrealn(X2),k8_surrealn(X1)))<=>r2_tarski(X1,X2)))), file('surrealn/surrealn__t73_surrealn', t68_surrealn)).
fof(redefinition_r1_surrealo, axiom, ![X1, X2]:((v2_surreal0(X1)&v2_surreal0(X2))=>(r1_surrealo(X1,X2)<=>r5_surreal0(X1,X2))), file('surrealn/surrealn__t73_surrealn', redefinition_r1_surrealo)).
fof(t69_surrealn, axiom, ![X1]:(v3_ordinal1(X1)=>![X2]:(v2_surreal0(X2)=>(r2_tarski(X2,k10_surreal0(X1))=>r1_surrealo(X2,k8_surrealn(X1))))), file('surrealn/surrealn__t73_surrealn', t69_surrealn)).
fof(t70_surrealn, axiom, ![X1]:(v3_ordinal1(X1)=>k12_surreal0(k8_surrealn(X1))=X1), file('surrealn/surrealn__t73_surrealn', t70_surrealn)).
fof(d12_surrealn, axiom, ![X1]:(v3_ordinal1(X1)=>k9_surrealn(X1)=k6_surrealo(k8_surrealn(X1))), file('surrealn/surrealn__t73_surrealn', d12_surrealn)).
fof(dt_k9_surrealn, axiom, ![X1]:(v3_ordinal1(X1)=>((v2_surreal0(k9_surrealn(X1))&v2_surrealo(k9_surrealn(X1)))&v3_surrealn(k9_surrealn(X1)))), file('surrealn/surrealn__t73_surrealn', dt_k9_surrealn)).
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('surrealn/surrealn__t73_surrealn', d2_surrealo)).
fof(d5_surrealo, axiom, ![X1]:(v2_surreal0(X1)=>![X2]:(v3_ordinal1(X2)=>(X2=k2_surrealo(X1)<=>(?[X3]:((v2_surreal0(X3)&k12_surreal0(X3)=X2)&r2_surrealo(X3,X1))&![X3]:(v2_surreal0(X3)=>(r2_surrealo(X3,X1)=>r1_ordinal1(X2,k12_surreal0(X3)))))))), file('surrealn/surrealn__t73_surrealn', d5_surrealo)).
fof(symmetry_r2_surrealo, axiom, ![X1, X2]:((v2_surreal0(X1)&v2_surreal0(X2))=>(r2_surrealo(X1,X2)=>r2_surrealo(X2,X1))), file('surrealn/surrealn__t73_surrealn', symmetry_r2_surrealo)).
fof(t4_surrealo, axiom, ![X1]:(v2_surreal0(X1)=>![X2]:(v2_surreal0(X2)=>![X3]:(v2_surreal0(X3)=>((r5_surreal0(X1,X2)&r5_surreal0(X2,X3))=>r5_surreal0(X1,X3))))), file('surrealn/surrealn__t73_surrealn', t4_surrealo)).
fof(dt_k2_surrealo, axiom, ![X1]:(v2_surreal0(X1)=>v3_ordinal1(k2_surrealo(X1))), file('surrealn/surrealn__t73_surrealn', dt_k2_surrealo)).
fof(t48_surrealo, axiom, ![X1]:(v2_surreal0(X1)=>((v2_surreal0(X1)&v2_surrealo(X1))=>k12_surreal0(X1)=k2_surrealo(X1))), file('surrealn/surrealn__t73_surrealn', t48_surrealo)).
fof(c_0_20, plain, ![X68, X69]:(~v3_ordinal1(X68)|(~v3_ordinal1(X69)|(r1_ordinal1(X68,X69)|r2_tarski(X69,X68)))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t16_ordinal1])])])).
fof(c_0_21, plain, ![X58]:(~v2_surreal0(X58)|v3_ordinal1(k12_surreal0(X58))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k12_surreal0])])).
cnf(c_0_22, plain, (r1_ordinal1(X1,X2)|r2_tarski(X2,X1)|~v3_ordinal1(X1)|~v3_ordinal1(X2)), inference(split_conjunct,[status(thm)],[c_0_20])).
cnf(c_0_23, plain, (v3_ordinal1(k12_surreal0(X1))|~v2_surreal0(X1)), inference(split_conjunct,[status(thm)],[c_0_21])).
fof(c_0_24, plain, ![X61]:(~v3_ordinal1(X61)|v2_surreal0(k8_surrealn(X61))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc23_surrealn])])).
fof(c_0_25, negated_conjecture, ~(![X1]:(v3_ordinal1(X1)=>(r2_surrealo(k9_surrealn(X1),k8_surrealn(X1))&k12_surreal0(k9_surrealn(X1))=X1))), inference(assume_negation,[status(cth)],[t73_surrealn])).
fof(c_0_26, plain, ![X43, X44]:(((r1_tarski(X43,X44)|X43!=X44)&(r1_tarski(X44,X43)|X43!=X44))&(~r1_tarski(X43,X44)|~r1_tarski(X44,X43)|X43=X44)), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d10_xboole_0])])])).
fof(c_0_27, plain, ![X62, X63]:((~r1_ordinal1(X62,X63)|r1_tarski(X62,X63)|(~v3_ordinal1(X62)|~v3_ordinal1(X63)))&(~r1_tarski(X62,X63)|r1_ordinal1(X62,X63)|(~v3_ordinal1(X62)|~v3_ordinal1(X63)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_r1_ordinal1])])])).
cnf(c_0_28, plain, (r1_ordinal1(X1,k12_surreal0(X2))|r2_tarski(k12_surreal0(X2),X1)|~v2_surreal0(X2)|~v3_ordinal1(X1)), inference(spm,[status(thm)],[c_0_22, c_0_23])).
cnf(c_0_29, plain, (v2_surreal0(k8_surrealn(X1))|~v3_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_24])).
fof(c_0_30, negated_conjecture, (v3_ordinal1(esk1_0)&(~r2_surrealo(k9_surrealn(esk1_0),k8_surrealn(esk1_0))|k12_surreal0(k9_surrealn(esk1_0))!=esk1_0)), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_25])])])).
cnf(c_0_31, plain, (X1=X2|~r1_tarski(X1,X2)|~r1_tarski(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_26])).
cnf(c_0_32, plain, (r1_tarski(X1,X2)|~r1_ordinal1(X1,X2)|~v3_ordinal1(X1)|~v3_ordinal1(X2)), inference(split_conjunct,[status(thm)],[c_0_27])).
cnf(c_0_33, plain, (r1_ordinal1(X1,k12_surreal0(k8_surrealn(X2)))|r2_tarski(k12_surreal0(k8_surrealn(X2)),X1)|~v3_ordinal1(X1)|~v3_ordinal1(X2)), inference(spm,[status(thm)],[c_0_28, c_0_29])).
cnf(c_0_34, negated_conjecture, (v3_ordinal1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_30])).
cnf(c_0_35, plain, (X1=X2|~r1_ordinal1(X2,X1)|~r1_tarski(X1,X2)|~v3_ordinal1(X1)|~v3_ordinal1(X2)), inference(spm,[status(thm)],[c_0_31, c_0_32])).
cnf(c_0_36, negated_conjecture, (r1_ordinal1(esk1_0,k12_surreal0(k8_surrealn(X1)))|r2_tarski(k12_surreal0(k8_surrealn(X1)),esk1_0)|~v3_ordinal1(X1)), inference(spm,[status(thm)],[c_0_33, c_0_34])).
fof(c_0_37, plain, ![X46, X47, X48]:(((r2_tarski(X46,k10_surreal0(X47))|X47!=k12_surreal0(X46)|~v3_ordinal1(X47)|~v2_surreal0(X46))&(~v3_ordinal1(X48)|(~r2_tarski(X46,k10_surreal0(X48))|r1_ordinal1(X47,X48))|X47!=k12_surreal0(X46)|~v3_ordinal1(X47)|~v2_surreal0(X46)))&((v3_ordinal1(esk2_2(X46,X47))|~r2_tarski(X46,k10_surreal0(X47))|X47=k12_surreal0(X46)|~v3_ordinal1(X47)|~v2_surreal0(X46))&((r2_tarski(X46,k10_surreal0(esk2_2(X46,X47)))|~r2_tarski(X46,k10_surreal0(X47))|X47=k12_surreal0(X46)|~v3_ordinal1(X47)|~v2_surreal0(X46))&(~r1_ordinal1(X47,esk2_2(X46,X47))|~r2_tarski(X46,k10_surreal0(X47))|X47=k12_surreal0(X46)|~v3_ordinal1(X47)|~v2_surreal0(X46))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d18_surreal0])])])])])).
fof(c_0_38, plain, ![X41, X42]:(((r2_surrealo(X42,X41)|X42!=k6_surrealo(X41)|~v2_surreal0(X42)|~v2_surreal0(X41))&(r2_tarski(X42,k1_funct_1(k5_surrealo(k2_surrealo(X41)),k2_surrealo(X41)))|X42!=k6_surrealo(X41)|~v2_surreal0(X42)|~v2_surreal0(X41)))&(~r2_surrealo(X42,X41)|~r2_tarski(X42,k1_funct_1(k5_surrealo(k2_surrealo(X41)),k2_surrealo(X41)))|X42=k6_surrealo(X41)|~v2_surreal0(X42)|~v2_surreal0(X41))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d10_surrealo])])])])).
fof(c_0_39, plain, ![X1]:(v3_ordinal1(X1)=>![X2]:(v3_ordinal1(X2)=>(~r5_surreal0(k8_surrealn(X2),k8_surrealn(X1))<=>r2_tarski(X1,X2)))), inference(fof_simplification,[status(thm)],[t68_surrealn])).
fof(c_0_40, plain, ![X64, X65]:((~r1_surrealo(X64,X65)|r5_surreal0(X64,X65)|(~v2_surreal0(X64)|~v2_surreal0(X65)))&(~r5_surreal0(X64,X65)|r1_surrealo(X64,X65)|(~v2_surreal0(X64)|~v2_surreal0(X65)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_r1_surrealo])])])).
fof(c_0_41, plain, ![X76, X77]:(~v3_ordinal1(X76)|(~v2_surreal0(X77)|(~r2_tarski(X77,k10_surreal0(X76))|r1_surrealo(X77,k8_surrealn(X76))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t69_surrealn])])])).
cnf(c_0_42, plain, (X1=X2|~r1_ordinal1(X2,X1)|~r1_ordinal1(X1,X2)|~v3_ordinal1(X1)|~v3_ordinal1(X2)), inference(spm,[status(thm)],[c_0_35, c_0_32])).
cnf(c_0_43, negated_conjecture, (r1_ordinal1(esk1_0,k12_surreal0(k8_surrealn(esk1_0)))|r2_tarski(k12_surreal0(k8_surrealn(esk1_0)),esk1_0)), inference(spm,[status(thm)],[c_0_36, c_0_34])).
cnf(c_0_44, plain, (r2_tarski(X1,k10_surreal0(X2))|X2!=k12_surreal0(X1)|~v3_ordinal1(X2)|~v2_surreal0(X1)), inference(split_conjunct,[status(thm)],[c_0_37])).
fof(c_0_45, plain, ![X78]:(~v3_ordinal1(X78)|k12_surreal0(k8_surrealn(X78))=X78), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t70_surrealn])])).
cnf(c_0_46, plain, (r2_surrealo(X1,X2)|X1!=k6_surrealo(X2)|~v2_surreal0(X1)|~v2_surreal0(X2)), inference(split_conjunct,[status(thm)],[c_0_38])).
fof(c_0_47, plain, ![X45]:(~v3_ordinal1(X45)|k9_surrealn(X45)=k6_surrealo(k8_surrealn(X45))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d12_surrealn])])).
fof(c_0_48, plain, ![X60]:(((v2_surreal0(k9_surrealn(X60))|~v3_ordinal1(X60))&(v2_surrealo(k9_surrealn(X60))|~v3_ordinal1(X60)))&(v3_surrealn(k9_surrealn(X60))|~v3_ordinal1(X60))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k9_surrealn])])])).
fof(c_0_49, plain, ![X74, X75]:((r5_surreal0(k8_surrealn(X75),k8_surrealn(X74))|r2_tarski(X74,X75)|~v3_ordinal1(X75)|~v3_ordinal1(X74))&(~r2_tarski(X74,X75)|~r5_surreal0(k8_surrealn(X75),k8_surrealn(X74))|~v3_ordinal1(X75)|~v3_ordinal1(X74))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_39])])])])).
cnf(c_0_50, plain, (r5_surreal0(X1,X2)|~r1_surrealo(X1,X2)|~v2_surreal0(X1)|~v2_surreal0(X2)), inference(split_conjunct,[status(thm)],[c_0_40])).
cnf(c_0_51, plain, (r1_surrealo(X2,k8_surrealn(X1))|~v3_ordinal1(X1)|~v2_surreal0(X2)|~r2_tarski(X2,k10_surreal0(X1))), inference(split_conjunct,[status(thm)],[c_0_41])).
cnf(c_0_52, negated_conjecture, (k12_surreal0(k8_surrealn(esk1_0))=esk1_0|r2_tarski(k12_surreal0(k8_surrealn(esk1_0)),esk1_0)|~r1_ordinal1(k12_surreal0(k8_surrealn(esk1_0)),esk1_0)|~v3_ordinal1(k12_surreal0(k8_surrealn(esk1_0)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42, c_0_43]), c_0_34])])).
cnf(c_0_53, plain, (r1_ordinal1(X3,X1)|~v3_ordinal1(X1)|~r2_tarski(X2,k10_surreal0(X1))|X3!=k12_surreal0(X2)|~v3_ordinal1(X3)|~v2_surreal0(X2)), inference(split_conjunct,[status(thm)],[c_0_37])).
cnf(c_0_54, plain, (r2_tarski(X1,k10_surreal0(k12_surreal0(X1)))|~v2_surreal0(X1)), inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_44]), c_0_23])).
cnf(c_0_55, plain, (k12_surreal0(k8_surrealn(X1))=X1|~v3_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_45])).
fof(c_0_56, plain, ![X50, X51]:(((r1_surrealo(X50,X51)|~r2_surrealo(X50,X51)|~v2_surreal0(X51)|~v2_surreal0(X50))&(r1_surrealo(X51,X50)|~r2_surrealo(X50,X51)|~v2_surreal0(X51)|~v2_surreal0(X50)))&(~r1_surrealo(X50,X51)|~r1_surrealo(X51,X50)|r2_surrealo(X50,X51)|~v2_surreal0(X51)|~v2_surreal0(X50))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d2_surrealo])])])])).
fof(c_0_57, plain, ![X52, X53, X55, X56]:(((((v2_surreal0(esk3_2(X52,X53))|X53!=k2_surrealo(X52)|~v3_ordinal1(X53)|~v2_surreal0(X52))&(k12_surreal0(esk3_2(X52,X53))=X53|X53!=k2_surrealo(X52)|~v3_ordinal1(X53)|~v2_surreal0(X52)))&(r2_surrealo(esk3_2(X52,X53),X52)|X53!=k2_surrealo(X52)|~v3_ordinal1(X53)|~v2_surreal0(X52)))&(~v2_surreal0(X55)|(~r2_surrealo(X55,X52)|r1_ordinal1(X53,k12_surreal0(X55)))|X53!=k2_surrealo(X52)|~v3_ordinal1(X53)|~v2_surreal0(X52)))&((v2_surreal0(esk4_2(X52,X53))|(~v2_surreal0(X56)|k12_surreal0(X56)!=X53|~r2_surrealo(X56,X52))|X53=k2_surrealo(X52)|~v3_ordinal1(X53)|~v2_surreal0(X52))&((r2_surrealo(esk4_2(X52,X53),X52)|(~v2_surreal0(X56)|k12_surreal0(X56)!=X53|~r2_surrealo(X56,X52))|X53=k2_surrealo(X52)|~v3_ordinal1(X53)|~v2_surreal0(X52))&(~r1_ordinal1(X53,k12_surreal0(esk4_2(X52,X53)))|(~v2_surreal0(X56)|k12_surreal0(X56)!=X53|~r2_surrealo(X56,X52))|X53=k2_surrealo(X52)|~v3_ordinal1(X53)|~v2_surreal0(X52))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d5_surrealo])])])])])).
fof(c_0_58, plain, ![X66, X67]:(~v2_surreal0(X66)|~v2_surreal0(X67)|(~r2_surrealo(X66,X67)|r2_surrealo(X67,X66))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[symmetry_r2_surrealo])])).
cnf(c_0_59, plain, (r2_surrealo(k6_surrealo(X1),X1)|~v2_surreal0(k6_surrealo(X1))|~v2_surreal0(X1)), inference(er,[status(thm)],[c_0_46])).
cnf(c_0_60, plain, (k9_surrealn(X1)=k6_surrealo(k8_surrealn(X1))|~v3_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_47])).
cnf(c_0_61, plain, (v2_surreal0(k9_surrealn(X1))|~v3_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_48])).
cnf(c_0_62, plain, (~r2_tarski(X1,X2)|~r5_surreal0(k8_surrealn(X2),k8_surrealn(X1))|~v3_ordinal1(X2)|~v3_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_49])).
cnf(c_0_63, plain, (r5_surreal0(X1,k8_surrealn(X2))|~r2_tarski(X1,k10_surreal0(X2))|~v2_surreal0(X1)|~v3_ordinal1(X2)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_50, c_0_51]), c_0_29])).
cnf(c_0_64, negated_conjecture, (k12_surreal0(k8_surrealn(esk1_0))=esk1_0|r2_tarski(k12_surreal0(k8_surrealn(esk1_0)),esk1_0)|~r1_ordinal1(k12_surreal0(k8_surrealn(esk1_0)),esk1_0)|~v2_surreal0(k8_surrealn(esk1_0))), inference(spm,[status(thm)],[c_0_52, c_0_23])).
cnf(c_0_65, plain, (r1_ordinal1(k12_surreal0(X1),X2)|~r2_tarski(X1,k10_surreal0(X2))|~v2_surreal0(X1)|~v3_ordinal1(X2)), inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_53]), c_0_23])).
cnf(c_0_66, plain, (r2_tarski(k8_surrealn(X1),k10_surreal0(X1))|~v3_ordinal1(X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_54, c_0_55]), c_0_29])).
fof(c_0_67, plain, ![X71, X72, X73]:(~v2_surreal0(X71)|(~v2_surreal0(X72)|(~v2_surreal0(X73)|(~r5_surreal0(X71,X72)|~r5_surreal0(X72,X73)|r5_surreal0(X71,X73))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t4_surrealo])])])).
cnf(c_0_68, plain, (r1_surrealo(X1,X2)|~r2_surrealo(X1,X2)|~v2_surreal0(X2)|~v2_surreal0(X1)), inference(split_conjunct,[status(thm)],[c_0_56])).
cnf(c_0_69, plain, (r2_surrealo(esk4_2(X1,X2),X1)|X2=k2_surrealo(X1)|~v2_surreal0(X3)|k12_surreal0(X3)!=X2|~r2_surrealo(X3,X1)|~v3_ordinal1(X2)|~v2_surreal0(X1)), inference(split_conjunct,[status(thm)],[c_0_57])).
cnf(c_0_70, plain, (r2_surrealo(X2,X1)|~v2_surreal0(X1)|~v2_surreal0(X2)|~r2_surrealo(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_58])).
cnf(c_0_71, plain, (r2_surrealo(k9_surrealn(X1),k8_surrealn(X1))|~v3_ordinal1(X1)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_59, c_0_60]), c_0_29]), c_0_61])).
cnf(c_0_72, plain, (~r2_tarski(k8_surrealn(X1),k10_surreal0(X2))|~r2_tarski(X2,X1)|~v3_ordinal1(X1)|~v3_ordinal1(X2)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_62, c_0_63]), c_0_29])).
cnf(c_0_73, negated_conjecture, (k12_surreal0(k8_surrealn(esk1_0))=esk1_0|r2_tarski(k12_surreal0(k8_surrealn(esk1_0)),esk1_0)|~r1_ordinal1(k12_surreal0(k8_surrealn(esk1_0)),esk1_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64, c_0_29]), c_0_34])])).
cnf(c_0_74, plain, (r1_ordinal1(k12_surreal0(k8_surrealn(X1)),X1)|~v3_ordinal1(X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_65, c_0_66]), c_0_29])).
cnf(c_0_75, plain, (v2_surreal0(esk4_2(X1,X2))|X2=k2_surrealo(X1)|~v2_surreal0(X3)|k12_surreal0(X3)!=X2|~r2_surrealo(X3,X1)|~v3_ordinal1(X2)|~v2_surreal0(X1)), inference(split_conjunct,[status(thm)],[c_0_57])).
cnf(c_0_76, plain, (r5_surreal0(X1,X3)|~v2_surreal0(X1)|~v2_surreal0(X2)|~v2_surreal0(X3)|~r5_surreal0(X1,X2)|~r5_surreal0(X2,X3)), inference(split_conjunct,[status(thm)],[c_0_67])).
cnf(c_0_77, plain, (r5_surreal0(X1,X2)|~v2_surreal0(X2)|~v2_surreal0(X1)|~r2_surrealo(X1,X2)), inference(spm,[status(thm)],[c_0_50, c_0_68])).
cnf(c_0_78, plain, (r1_surrealo(X1,X2)|~r2_surrealo(X2,X1)|~v2_surreal0(X1)|~v2_surreal0(X2)), inference(split_conjunct,[status(thm)],[c_0_56])).
fof(c_0_79, plain, ![X59]:(~v2_surreal0(X59)|v3_ordinal1(k2_surrealo(X59))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k2_surrealo])])).
cnf(c_0_80, plain, (k12_surreal0(X1)=k2_surrealo(X2)|r2_surrealo(esk4_2(X2,k12_surreal0(X1)),X2)|~v2_surreal0(X1)|~v2_surreal0(X2)|~r2_surrealo(X1,X2)), inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_69]), c_0_23])).
cnf(c_0_81, plain, (r2_surrealo(k8_surrealn(X1),k9_surrealn(X1))|~v3_ordinal1(X1)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_70, c_0_71]), c_0_61]), c_0_29])).
cnf(c_0_82, plain, (~r2_tarski(k12_surreal0(k8_surrealn(X1)),X1)|~v3_ordinal1(X1)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_72, c_0_54]), c_0_23]), c_0_29])).
cnf(c_0_83, negated_conjecture, (k12_surreal0(k8_surrealn(esk1_0))=esk1_0|r2_tarski(k12_surreal0(k8_surrealn(esk1_0)),esk1_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73, c_0_74]), c_0_34])])).
cnf(c_0_84, plain, (k12_surreal0(X1)=k2_surrealo(X2)|v2_surreal0(esk4_2(X2,k12_surreal0(X1)))|~v2_surreal0(X1)|~v2_surreal0(X2)|~r2_surrealo(X1,X2)), inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_75]), c_0_23])).
cnf(c_0_85, plain, (r5_surreal0(X1,X2)|~r5_surreal0(X1,X3)|~v2_surreal0(X2)|~v2_surreal0(X3)|~v2_surreal0(X1)|~r2_surrealo(X3,X2)), inference(spm,[status(thm)],[c_0_76, c_0_77])).
cnf(c_0_86, plain, (r5_surreal0(X1,X2)|~v2_surreal0(X2)|~v2_surreal0(X1)|~r2_surrealo(X2,X1)), inference(spm,[status(thm)],[c_0_50, c_0_78])).
cnf(c_0_87, plain, (r2_surrealo(esk3_2(X1,X2),X1)|X2!=k2_surrealo(X1)|~v3_ordinal1(X2)|~v2_surreal0(X1)), inference(split_conjunct,[status(thm)],[c_0_57])).
cnf(c_0_88, plain, (v3_ordinal1(k2_surrealo(X1))|~v2_surreal0(X1)), inference(split_conjunct,[status(thm)],[c_0_79])).
cnf(c_0_89, plain, (v2_surreal0(esk3_2(X1,X2))|X2!=k2_surrealo(X1)|~v3_ordinal1(X2)|~v2_surreal0(X1)), inference(split_conjunct,[status(thm)],[c_0_57])).
cnf(c_0_90, plain, (k2_surrealo(k9_surrealn(X1))=k12_surreal0(k8_surrealn(X1))|r2_surrealo(esk4_2(k9_surrealn(X1),k12_surreal0(k8_surrealn(X1))),k9_surrealn(X1))|~v3_ordinal1(X1)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_80, c_0_81]), c_0_61]), c_0_29])).
cnf(c_0_91, negated_conjecture, (k12_surreal0(k8_surrealn(esk1_0))=esk1_0), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82, c_0_83]), c_0_34])])).
cnf(c_0_92, plain, (k2_surrealo(k9_surrealn(X1))=k12_surreal0(k8_surrealn(X1))|v2_surreal0(esk4_2(k9_surrealn(X1),k12_surreal0(k8_surrealn(X1))))|~v3_ordinal1(X1)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_84, c_0_81]), c_0_61]), c_0_29])).
cnf(c_0_93, 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_56])).
cnf(c_0_94, plain, (r1_surrealo(X1,X2)|~r5_surreal0(X1,X2)|~v2_surreal0(X1)|~v2_surreal0(X2)), inference(split_conjunct,[status(thm)],[c_0_40])).
cnf(c_0_95, plain, (r5_surreal0(X1,X2)|~v2_surreal0(X2)|~v2_surreal0(X3)|~v2_surreal0(X1)|~r2_surrealo(X3,X2)|~r2_surrealo(X3,X1)), inference(spm,[status(thm)],[c_0_85, c_0_86])).
cnf(c_0_96, plain, (r2_surrealo(esk3_2(X1,k2_surrealo(X1)),X1)|~v2_surreal0(X1)), inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_87]), c_0_88])).
cnf(c_0_97, plain, (v2_surreal0(esk3_2(X1,k2_surrealo(X1)))|~v2_surreal0(X1)), inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_89]), c_0_88])).
cnf(c_0_98, negated_conjecture, (k2_surrealo(k9_surrealn(esk1_0))=esk1_0|r2_surrealo(esk4_2(k9_surrealn(esk1_0),esk1_0),k9_surrealn(esk1_0))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90, c_0_34]), c_0_91]), c_0_91])).
cnf(c_0_99, negated_conjecture, (k2_surrealo(k9_surrealn(esk1_0))=esk1_0|v2_surreal0(esk4_2(k9_surrealn(esk1_0),esk1_0))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92, c_0_34]), c_0_91]), c_0_91])).
cnf(c_0_100, plain, (r2_surrealo(X1,X2)|~r5_surreal0(X2,X1)|~r1_surrealo(X1,X2)|~v2_surreal0(X2)|~v2_surreal0(X1)), inference(spm,[status(thm)],[c_0_93, c_0_94])).
cnf(c_0_101, plain, (r5_surreal0(X1,X2)|~v2_surreal0(X2)|~v2_surreal0(X1)|~r2_surrealo(esk3_2(X2,k2_surrealo(X2)),X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_95, c_0_96]), c_0_97])).
cnf(c_0_102, plain, (r5_surreal0(X1,X2)|~r5_surreal0(X1,X3)|~v2_surreal0(X2)|~v2_surreal0(X3)|~v2_surreal0(X1)|~r2_surrealo(X2,X3)), inference(spm,[status(thm)],[c_0_76, c_0_86])).
cnf(c_0_103, negated_conjecture, (k2_surrealo(k9_surrealn(esk1_0))=esk1_0|r5_surreal0(X1,k9_surrealn(esk1_0))|~v2_surreal0(k9_surrealn(esk1_0))|~v2_surreal0(X1)|~r2_surrealo(esk4_2(k9_surrealn(esk1_0),esk1_0),X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_95, c_0_98]), c_0_99])).
cnf(c_0_104, plain, (r2_surrealo(X1,X2)|~r5_surreal0(X2,X1)|~r5_surreal0(X1,X2)|~v2_surreal0(X2)|~v2_surreal0(X1)), inference(spm,[status(thm)],[c_0_100, c_0_94])).
cnf(c_0_105, plain, (r5_surreal0(X1,X1)|~v2_surreal0(X1)), inference(spm,[status(thm)],[c_0_101, c_0_96])).
cnf(c_0_106, plain, (r5_surreal0(X1,X2)|~v2_surreal0(X2)|~v2_surreal0(X3)|~v2_surreal0(X1)|~r2_surrealo(X2,X3)|~r2_surrealo(X3,X1)), inference(spm,[status(thm)],[c_0_102, c_0_86])).
cnf(c_0_107, negated_conjecture, (k2_surrealo(k9_surrealn(esk1_0))=esk1_0|r5_surreal0(X1,k9_surrealn(esk1_0))|~v2_surreal0(X1)|~r2_surrealo(esk4_2(k9_surrealn(esk1_0),esk1_0),X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103, c_0_61]), c_0_34])])).
cnf(c_0_108, plain, (r2_surrealo(X1,X1)|~v2_surreal0(X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_104, c_0_105]), c_0_105])).
cnf(c_0_109, negated_conjecture, (k2_surrealo(k9_surrealn(esk1_0))=esk1_0|r5_surreal0(X1,esk4_2(k9_surrealn(esk1_0),esk1_0))|~v2_surreal0(k9_surrealn(esk1_0))|~v2_surreal0(X1)|~r2_surrealo(k9_surrealn(esk1_0),X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_106, c_0_98]), c_0_99])).
cnf(c_0_110, negated_conjecture, (k2_surrealo(k9_surrealn(esk1_0))=esk1_0|r5_surreal0(esk4_2(k9_surrealn(esk1_0),esk1_0),k9_surrealn(esk1_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_107, c_0_108]), c_0_99])).
cnf(c_0_111, negated_conjecture, (k2_surrealo(k9_surrealn(esk1_0))=esk1_0|r5_surreal0(X1,esk4_2(k9_surrealn(esk1_0),esk1_0))|~v2_surreal0(X1)|~r2_surrealo(k9_surrealn(esk1_0),X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109, c_0_61]), c_0_34])])).
cnf(c_0_112, negated_conjecture, (k2_surrealo(k9_surrealn(esk1_0))=esk1_0|r5_surreal0(X1,k9_surrealn(esk1_0))|~r5_surreal0(X1,esk4_2(k9_surrealn(esk1_0),esk1_0))|~v2_surreal0(k9_surrealn(esk1_0))|~v2_surreal0(X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_76, c_0_110]), c_0_99])).
cnf(c_0_113, negated_conjecture, (k2_surrealo(k9_surrealn(esk1_0))=esk1_0|r5_surreal0(k8_surrealn(esk1_0),esk4_2(k9_surrealn(esk1_0),esk1_0))|~v2_surreal0(k8_surrealn(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111, c_0_71]), c_0_34])])).
cnf(c_0_114, negated_conjecture, (k2_surrealo(k9_surrealn(esk1_0))=esk1_0|r5_surreal0(X1,k9_surrealn(esk1_0))|~r5_surreal0(X1,esk4_2(k9_surrealn(esk1_0),esk1_0))|~v2_surreal0(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112, c_0_61]), c_0_34])])).
cnf(c_0_115, negated_conjecture, (k2_surrealo(k9_surrealn(esk1_0))=esk1_0|r5_surreal0(k8_surrealn(esk1_0),esk4_2(k9_surrealn(esk1_0),esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113, c_0_29]), c_0_34])])).
cnf(c_0_116, plain, (r5_surreal0(X1,esk3_2(X2,k2_surrealo(X2)))|~v2_surreal0(X2)|~v2_surreal0(X1)|~r2_surrealo(X2,X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_106, c_0_96]), c_0_97])).
cnf(c_0_117, negated_conjecture, (k2_surrealo(k9_surrealn(esk1_0))=esk1_0|r5_surreal0(k8_surrealn(esk1_0),k9_surrealn(esk1_0))|~v2_surreal0(k8_surrealn(esk1_0))), inference(spm,[status(thm)],[c_0_114, c_0_115])).
cnf(c_0_118, plain, (r5_surreal0(X1,esk3_2(X2,k2_surrealo(X2)))|~r5_surreal0(X1,X3)|~v2_surreal0(X3)|~v2_surreal0(X1)|~v2_surreal0(X2)|~r2_surrealo(X2,X3)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_76, c_0_116]), c_0_97])).
cnf(c_0_119, negated_conjecture, (k2_surrealo(k9_surrealn(esk1_0))=esk1_0|r5_surreal0(k8_surrealn(esk1_0),k9_surrealn(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117, c_0_29]), c_0_34])])).
cnf(c_0_120, negated_conjecture, (k2_surrealo(k9_surrealn(esk1_0))=esk1_0|r5_surreal0(k8_surrealn(esk1_0),esk3_2(X1,k2_surrealo(X1)))|~v2_surreal0(k9_surrealn(esk1_0))|~v2_surreal0(k8_surrealn(esk1_0))|~v2_surreal0(X1)|~r2_surrealo(X1,k9_surrealn(esk1_0))), inference(spm,[status(thm)],[c_0_118, c_0_119])).
cnf(c_0_121, negated_conjecture, (k2_surrealo(k9_surrealn(esk1_0))=esk1_0|r5_surreal0(k8_surrealn(esk1_0),esk3_2(X1,k2_surrealo(X1)))|~v2_surreal0(k8_surrealn(esk1_0))|~v2_surreal0(X1)|~r2_surrealo(X1,k9_surrealn(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120, c_0_61]), c_0_34])])).
fof(c_0_122, plain, ![X70]:(~v2_surreal0(X70)|(~v2_surreal0(X70)|~v2_surrealo(X70)|k12_surreal0(X70)=k2_surrealo(X70))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t48_surrealo])])).
cnf(c_0_123, plain, (r1_ordinal1(X3,k12_surreal0(X1))|~v2_surreal0(X1)|~r2_surrealo(X1,X2)|X3!=k2_surrealo(X2)|~v3_ordinal1(X3)|~v2_surreal0(X2)), inference(split_conjunct,[status(thm)],[c_0_57])).
cnf(c_0_124, plain, (r1_ordinal1(X1,k2_surrealo(X2))|r2_tarski(k2_surrealo(X2),X1)|~v2_surreal0(X2)|~v3_ordinal1(X1)), inference(spm,[status(thm)],[c_0_22, c_0_88])).
cnf(c_0_125, negated_conjecture, (k2_surrealo(k9_surrealn(esk1_0))=esk1_0|r5_surreal0(k8_surrealn(esk1_0),esk3_2(X1,k2_surrealo(X1)))|~v2_surreal0(X1)|~r2_surrealo(X1,k9_surrealn(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121, c_0_29]), c_0_34])])).
cnf(c_0_126, plain, (k12_surreal0(X1)=k2_surrealo(X1)|~v2_surreal0(X1)|~v2_surreal0(X1)|~v2_surrealo(X1)), inference(split_conjunct,[status(thm)],[c_0_122])).
cnf(c_0_127, plain, (r1_ordinal1(k2_surrealo(X1),k12_surreal0(X2))|~v2_surreal0(X1)|~v2_surreal0(X2)|~r2_surrealo(X2,X1)), inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_123]), c_0_88])).
cnf(c_0_128, plain, (r1_ordinal1(X1,k2_surrealo(k9_surrealn(X2)))|r2_tarski(k2_surrealo(k9_surrealn(X2)),X1)|~v3_ordinal1(X1)|~v3_ordinal1(X2)), inference(spm,[status(thm)],[c_0_124, c_0_61])).
cnf(c_0_129, negated_conjecture, (k2_surrealo(k9_surrealn(esk1_0))=esk1_0|r5_surreal0(k8_surrealn(esk1_0),esk3_2(k9_surrealn(esk1_0),k2_surrealo(k9_surrealn(esk1_0))))|~v2_surreal0(k9_surrealn(esk1_0))), inference(spm,[status(thm)],[c_0_125, c_0_108])).
cnf(c_0_130, plain, (k2_surrealo(X1)=k12_surreal0(X1)|~v2_surreal0(X1)|~v2_surrealo(X1)), inference(cn,[status(thm)],[c_0_126])).
cnf(c_0_131, plain, (v2_surrealo(k9_surrealn(X1))|~v3_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_48])).
cnf(c_0_132, negated_conjecture, (~r2_surrealo(k9_surrealn(esk1_0),k8_surrealn(esk1_0))|k12_surreal0(k9_surrealn(esk1_0))!=esk1_0), inference(split_conjunct,[status(thm)],[c_0_30])).
cnf(c_0_133, negated_conjecture, (r1_ordinal1(k2_surrealo(X1),esk1_0)|~v2_surreal0(k8_surrealn(esk1_0))|~v2_surreal0(X1)|~r2_surrealo(k8_surrealn(esk1_0),X1)), inference(spm,[status(thm)],[c_0_127, c_0_91])).
cnf(c_0_134, negated_conjecture, (r1_ordinal1(esk1_0,k2_surrealo(k9_surrealn(X1)))|r2_tarski(k2_surrealo(k9_surrealn(X1)),esk1_0)|~v3_ordinal1(X1)), inference(spm,[status(thm)],[c_0_128, c_0_34])).
cnf(c_0_135, plain, (r5_surreal0(X1,k8_surrealn(X2))|~v2_surreal0(X1)|~r2_surrealo(k9_surrealn(X2),X1)|~v3_ordinal1(X2)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_106, c_0_81]), c_0_61]), c_0_29])).
cnf(c_0_136, negated_conjecture, (k2_surrealo(k9_surrealn(esk1_0))=esk1_0|r5_surreal0(k8_surrealn(esk1_0),esk3_2(k9_surrealn(esk1_0),k2_surrealo(k9_surrealn(esk1_0))))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_129, c_0_61]), c_0_34])])).
cnf(c_0_137, plain, (k2_surrealo(k9_surrealn(X1))=k12_surreal0(k9_surrealn(X1))|~v3_ordinal1(X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_130, c_0_131]), c_0_61])).
cnf(c_0_138, negated_conjecture, (k12_surreal0(k9_surrealn(esk1_0))!=esk1_0), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132, c_0_71]), c_0_34])])).
cnf(c_0_139, negated_conjecture, (k2_surrealo(X1)=esk1_0|~r1_ordinal1(esk1_0,k2_surrealo(X1))|~v2_surreal0(k8_surrealn(esk1_0))|~v2_surreal0(X1)|~r2_surrealo(k8_surrealn(esk1_0),X1)), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42, c_0_133]), c_0_34])]), c_0_88])).
cnf(c_0_140, negated_conjecture, (r1_ordinal1(esk1_0,k2_surrealo(k9_surrealn(esk1_0)))|r2_tarski(k2_surrealo(k9_surrealn(esk1_0)),esk1_0)), inference(spm,[status(thm)],[c_0_134, c_0_34])).
cnf(c_0_141, plain, (r2_surrealo(k8_surrealn(X1),X2)|~r5_surreal0(k8_surrealn(X1),X2)|~v2_surreal0(X2)|~r2_surrealo(k9_surrealn(X1),X2)|~v3_ordinal1(X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_104, c_0_135]), c_0_29])).
cnf(c_0_142, negated_conjecture, (r5_surreal0(k8_surrealn(esk1_0),esk3_2(k9_surrealn(esk1_0),k12_surreal0(k9_surrealn(esk1_0))))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136, c_0_137]), c_0_34])]), c_0_138])).
cnf(c_0_143, plain, (r2_surrealo(X1,esk3_2(X1,k2_surrealo(X1)))|~v2_surreal0(X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_70, c_0_96]), c_0_97])).
cnf(c_0_144, negated_conjecture, (k2_surrealo(k9_surrealn(esk1_0))=esk1_0|r2_tarski(k2_surrealo(k9_surrealn(esk1_0)),esk1_0)|~v2_surreal0(k8_surrealn(esk1_0))|~v2_surreal0(k9_surrealn(esk1_0))|~r2_surrealo(k8_surrealn(esk1_0),k9_surrealn(esk1_0))), inference(spm,[status(thm)],[c_0_139, c_0_140])).
cnf(c_0_145, plain, (r5_surreal0(X1,X2)|~v2_surreal0(X2)|~v2_surreal0(X3)|~v2_surreal0(X1)|~r2_surrealo(X3,X2)|~r2_surrealo(X1,X3)), inference(spm,[status(thm)],[c_0_85, c_0_77])).
cnf(c_0_146, plain, (r2_surrealo(esk3_2(k9_surrealn(X1),k12_surreal0(k9_surrealn(X1))),k9_surrealn(X1))|~v3_ordinal1(X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_96, c_0_137]), c_0_61])).
cnf(c_0_147, plain, (v2_surreal0(esk3_2(k9_surrealn(X1),k12_surreal0(k9_surrealn(X1))))|~v3_ordinal1(X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_97, c_0_137]), c_0_61])).
cnf(c_0_148, negated_conjecture, (r2_surrealo(k8_surrealn(esk1_0),esk3_2(k9_surrealn(esk1_0),k12_surreal0(k9_surrealn(esk1_0))))|~v2_surreal0(esk3_2(k9_surrealn(esk1_0),k12_surreal0(k9_surrealn(esk1_0))))|~r2_surrealo(k9_surrealn(esk1_0),esk3_2(k9_surrealn(esk1_0),k12_surreal0(k9_surrealn(esk1_0))))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_141, c_0_142]), c_0_34])])).
cnf(c_0_149, plain, (r2_surrealo(k9_surrealn(X1),esk3_2(k9_surrealn(X1),k12_surreal0(k9_surrealn(X1))))|~v3_ordinal1(X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_143, c_0_137]), c_0_61])).
cnf(c_0_150, negated_conjecture, (k2_surrealo(k9_surrealn(esk1_0))=esk1_0|r2_tarski(k2_surrealo(k9_surrealn(esk1_0)),esk1_0)|~v2_surreal0(k9_surrealn(esk1_0))|~r2_surrealo(k8_surrealn(esk1_0),k9_surrealn(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_144, c_0_29]), c_0_34])])).
cnf(c_0_151, plain, (r5_surreal0(X1,k8_surrealn(X2))|~r5_surreal0(X1,X3)|~r2_tarski(X3,k10_surreal0(X2))|~v2_surreal0(X3)|~v2_surreal0(X1)|~v3_ordinal1(X2)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_76, c_0_63]), c_0_29])).
cnf(c_0_152, plain, (r5_surreal0(X1,k9_surrealn(X2))|~v2_surreal0(X1)|~r2_surrealo(X1,esk3_2(k9_surrealn(X2),k12_surreal0(k9_surrealn(X2))))|~v3_ordinal1(X2)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_145, c_0_146]), c_0_61]), c_0_147])).
cnf(c_0_153, negated_conjecture, (r2_surrealo(k8_surrealn(esk1_0),esk3_2(k9_surrealn(esk1_0),k12_surreal0(k9_surrealn(esk1_0))))|~v2_surreal0(esk3_2(k9_surrealn(esk1_0),k12_surreal0(k9_surrealn(esk1_0))))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_148, c_0_149]), c_0_34])])).
cnf(c_0_154, negated_conjecture, (k2_surrealo(k9_surrealn(esk1_0))=esk1_0|r2_tarski(k2_surrealo(k9_surrealn(esk1_0)),esk1_0)|~r2_surrealo(k8_surrealn(esk1_0),k9_surrealn(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_150, c_0_61]), c_0_34])])).
cnf(c_0_155, plain, (r5_surreal0(X1,k8_surrealn(k12_surreal0(X2)))|~r5_surreal0(X1,X2)|~v2_surreal0(X2)|~v2_surreal0(X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_151, c_0_54]), c_0_23])).
cnf(c_0_156, negated_conjecture, (r5_surreal0(k8_surrealn(esk1_0),k9_surrealn(esk1_0))|~v2_surreal0(esk3_2(k9_surrealn(esk1_0),k12_surreal0(k9_surrealn(esk1_0))))|~v2_surreal0(k8_surrealn(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_152, c_0_153]), c_0_34])])).
cnf(c_0_157, negated_conjecture, (k2_surrealo(k9_surrealn(esk1_0))=esk1_0|r2_tarski(k2_surrealo(k9_surrealn(esk1_0)),esk1_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_154, c_0_81]), c_0_34])])).
cnf(c_0_158, plain, (~r5_surreal0(k8_surrealn(X1),X2)|~r2_tarski(k12_surreal0(X2),X1)|~v2_surreal0(X2)|~v3_ordinal1(X1)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_62, c_0_155]), c_0_23]), c_0_29])).
cnf(c_0_159, negated_conjecture, (r5_surreal0(k8_surrealn(esk1_0),k9_surrealn(esk1_0))|~v2_surreal0(k8_surrealn(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_156, c_0_147]), c_0_34])])).
cnf(c_0_160, negated_conjecture, (r2_tarski(k12_surreal0(k9_surrealn(esk1_0)),esk1_0)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_157, c_0_137]), c_0_34])]), c_0_138])).
cnf(c_0_161, negated_conjecture, (~v2_surreal0(k9_surrealn(esk1_0))|~v2_surreal0(k8_surrealn(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_158, c_0_159]), c_0_160]), c_0_34])])).
cnf(c_0_162, negated_conjecture, (~v2_surreal0(k8_surrealn(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_161, c_0_61]), c_0_34])])).
cnf(c_0_163, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_162, c_0_29]), c_0_34])]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 164
# Proof object clause steps            : 122
# Proof object formula steps           : 42
# Proof object conjectures             : 48
# Proof object clause conjectures      : 45
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 30
# Proof object initial formulas used   : 20
# Proof object generating inferences   : 83
# Proof object simplifying inferences  : 114
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 20
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 42
# Removed in clause preprocessing      : 0
# Initial clauses in saturation        : 42
# Processed clauses                    : 7238
# ...of these trivial                  : 10
# ...subsumed                          : 4162
# ...remaining for further processing  : 3066
# Other redundant clauses eliminated   : 13
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 1275
# Backward-rewritten                   : 20
# Generated clauses                    : 19949
# ...of the previous two non-trivial   : 19030
# Contextual simplify-reflections      : 473
# Paramodulations                      : 19933
# Factorizations                       : 0
# NegExts                              : 0
# Equation resolutions                 : 13
# 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  : 1714
#    Positive orientable unit clauses  : 9
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 3
#    Non-unit-clauses                  : 1702
# Current number of unprocessed clauses: 11367
# ...number of literals in the above   : 57873
# Current number of archived formulas  : 0
# Current number of archived clauses   : 1339
# Clause-clause subsumption calls (NU) : 607474
# Rec. Clause-clause subsumption calls : 183950
# Non-unit clause-clause subsumptions  : 5761
# Unit Clause-clause subsumption calls : 1062
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 11
# BW rewrite match successes           : 5
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 557762

# -------------------------------------------------
# User time                : 0.724 s
# System time              : 0.012 s
# Total time               : 0.736 s
# Maximum resident set size: 3520 pages
