# 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(t6_ordinal1, axiom, ![X1]:r2_tarski(X1,k1_ordinal1(X1)), file('surrealn/surrealn__t65_surrealn', t6_ordinal1)).
fof(d1_ordinal1, axiom, ![X1]:k1_ordinal1(X1)=k2_xboole_0(X1,k1_tarski(X1)), file('surrealn/surrealn__t65_surrealn', d1_ordinal1)).
fof(t10_ordinal1, axiom, ![X1, X2, X3]:(v1_ordinal1(X3)=>((r2_tarski(X1,X2)&r2_tarski(X2,X3))=>r2_tarski(X1,X3))), file('surrealn/surrealn__t65_surrealn', t10_ordinal1)).
fof(cc5_ordinal1, axiom, ![X1]:(v3_ordinal1(X1)=>![X2]:(m1_subset_1(X2,X1)=>v3_ordinal1(X2))), file('surrealn/surrealn__t65_surrealn', cc5_ordinal1)).
fof(t1_subset, axiom, ![X1, X2]:(r2_tarski(X1,X2)=>m1_subset_1(X1,X2)), file('surrealn/surrealn__t65_surrealn', t1_subset)).
fof(cc1_ordinal1, axiom, ![X1]:(v3_ordinal1(X1)=>(v1_ordinal1(X1)&v2_ordinal1(X1))), file('surrealn/surrealn__t65_surrealn', cc1_ordinal1)).
fof(t63_surrealn, axiom, ![X1]:(v3_ordinal1(X1)=>![X2]:(((v1_relat_1(X2)&v1_funct_1(X2))&v5_ordinal1(X2))=>(((k9_xtuple_0(X2)=k1_ordinal1(X1)&![X3]:(v3_ordinal1(X3)=>(r2_tarski(k1_ordinal1(X3),k1_ordinal1(X1))=>k1_funct_1(X2,k1_ordinal1(X3))=k4_tarski(k1_tarski(k1_funct_1(X2,X3)),k1_xboole_0))))&![X3]:(v3_ordinal1(X3)=>((r2_tarski(X3,k1_ordinal1(X1))&v4_ordinal1(X3))=>k1_funct_1(X2,X3)=k4_tarski(k2_relset_1(k10_xtuple_0(X2),k5_relat_1(X2,X3)),k1_xboole_0))))=>![X3]:(v3_ordinal1(X3)=>(r2_tarski(X3,k1_ordinal1(X1))=>k1_funct_1(X2,X3)=k8_surrealn(X3)))))), file('surrealn/surrealn__t65_surrealn', t63_surrealn)).
fof(fc2_ordinal1, axiom, ![X1]:(v3_ordinal1(X1)=>(~(v1_xboole_0(k1_ordinal1(X1)))&v3_ordinal1(k1_ordinal1(X1)))), file('surrealn/surrealn__t65_surrealn', fc2_ordinal1)).
fof(d11_surrealn, axiom, ![X1]:(v3_ordinal1(X1)=>![X2]:(X2=k8_surrealn(X1)<=>?[X3]:((((((v1_relat_1(X3)&v1_funct_1(X3))&v5_ordinal1(X3))&X2=k1_funct_1(X3,X1))&k9_xtuple_0(X3)=k1_ordinal1(X1))&![X4]:(v3_ordinal1(X4)=>(r2_tarski(k1_ordinal1(X4),k1_ordinal1(X1))=>k1_funct_1(X3,k1_ordinal1(X4))=k4_tarski(k1_tarski(k1_funct_1(X3,X4)),k1_xboole_0))))&![X4]:(v3_ordinal1(X4)=>((r2_tarski(X4,k1_ordinal1(X1))&v4_ordinal1(X4))=>k1_funct_1(X3,X4)=k4_tarski(k2_relset_1(k10_xtuple_0(X3),k5_relat_1(X3,X4)),k1_xboole_0)))))), file('surrealn/surrealn__t65_surrealn', d11_surrealn)).
fof(t65_surrealn, conjecture, ![X1]:(v3_ordinal1(X1)=>k8_surrealn(k1_ordinal1(X1))=k4_tarski(k1_tarski(k8_surrealn(X1)),k1_xboole_0)), file('surrealn/surrealn__t65_surrealn', t65_surrealn)).
fof(c_0_10, plain, ![X54]:r2_tarski(X54,k1_ordinal1(X54)), inference(variable_rename,[status(thm)],[t6_ordinal1])).
fof(c_0_11, plain, ![X41]:k1_ordinal1(X41)=k2_xboole_0(X41,k1_tarski(X41)), inference(variable_rename,[status(thm)],[d1_ordinal1])).
fof(c_0_12, plain, ![X44, X45, X46]:(~v1_ordinal1(X46)|(~r2_tarski(X44,X45)|~r2_tarski(X45,X46)|r2_tarski(X44,X46))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t10_ordinal1])])).
cnf(c_0_13, plain, (r2_tarski(X1,k1_ordinal1(X1))), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_14, plain, (k1_ordinal1(X1)=k2_xboole_0(X1,k1_tarski(X1))), inference(split_conjunct,[status(thm)],[c_0_11])).
fof(c_0_15, plain, ![X30, X31]:(~v3_ordinal1(X30)|(~m1_subset_1(X31,X30)|v3_ordinal1(X31))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc5_ordinal1])])])).
fof(c_0_16, plain, ![X47, X48]:(~r2_tarski(X47,X48)|m1_subset_1(X47,X48)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t1_subset])])).
cnf(c_0_17, plain, (r2_tarski(X2,X1)|~v1_ordinal1(X1)|~r2_tarski(X2,X3)|~r2_tarski(X3,X1)), inference(split_conjunct,[status(thm)],[c_0_12])).
cnf(c_0_18, plain, (r2_tarski(X1,k2_xboole_0(X1,k1_tarski(X1)))), inference(rw,[status(thm)],[c_0_13, c_0_14])).
fof(c_0_19, plain, ![X29]:((v1_ordinal1(X29)|~v3_ordinal1(X29))&(v2_ordinal1(X29)|~v3_ordinal1(X29))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_ordinal1])])])).
fof(c_0_20, plain, ![X49, X50, X53]:(((v3_ordinal1(esk6_2(X49,X50))|(v3_ordinal1(esk5_2(X49,X50))|k9_xtuple_0(X50)!=k1_ordinal1(X49))|(~v3_ordinal1(X53)|(~r2_tarski(X53,k1_ordinal1(X49))|k1_funct_1(X50,X53)=k8_surrealn(X53)))|(~v1_relat_1(X50)|~v1_funct_1(X50)|~v5_ordinal1(X50))|~v3_ordinal1(X49))&(((r2_tarski(esk6_2(X49,X50),k1_ordinal1(X49))|(v3_ordinal1(esk5_2(X49,X50))|k9_xtuple_0(X50)!=k1_ordinal1(X49))|(~v3_ordinal1(X53)|(~r2_tarski(X53,k1_ordinal1(X49))|k1_funct_1(X50,X53)=k8_surrealn(X53)))|(~v1_relat_1(X50)|~v1_funct_1(X50)|~v5_ordinal1(X50))|~v3_ordinal1(X49))&(v4_ordinal1(esk6_2(X49,X50))|(v3_ordinal1(esk5_2(X49,X50))|k9_xtuple_0(X50)!=k1_ordinal1(X49))|(~v3_ordinal1(X53)|(~r2_tarski(X53,k1_ordinal1(X49))|k1_funct_1(X50,X53)=k8_surrealn(X53)))|(~v1_relat_1(X50)|~v1_funct_1(X50)|~v5_ordinal1(X50))|~v3_ordinal1(X49)))&(k1_funct_1(X50,esk6_2(X49,X50))!=k4_tarski(k2_relset_1(k10_xtuple_0(X50),k5_relat_1(X50,esk6_2(X49,X50))),k1_xboole_0)|(v3_ordinal1(esk5_2(X49,X50))|k9_xtuple_0(X50)!=k1_ordinal1(X49))|(~v3_ordinal1(X53)|(~r2_tarski(X53,k1_ordinal1(X49))|k1_funct_1(X50,X53)=k8_surrealn(X53)))|(~v1_relat_1(X50)|~v1_funct_1(X50)|~v5_ordinal1(X50))|~v3_ordinal1(X49))))&(((v3_ordinal1(esk6_2(X49,X50))|(r2_tarski(k1_ordinal1(esk5_2(X49,X50)),k1_ordinal1(X49))|k9_xtuple_0(X50)!=k1_ordinal1(X49))|(~v3_ordinal1(X53)|(~r2_tarski(X53,k1_ordinal1(X49))|k1_funct_1(X50,X53)=k8_surrealn(X53)))|(~v1_relat_1(X50)|~v1_funct_1(X50)|~v5_ordinal1(X50))|~v3_ordinal1(X49))&(((r2_tarski(esk6_2(X49,X50),k1_ordinal1(X49))|(r2_tarski(k1_ordinal1(esk5_2(X49,X50)),k1_ordinal1(X49))|k9_xtuple_0(X50)!=k1_ordinal1(X49))|(~v3_ordinal1(X53)|(~r2_tarski(X53,k1_ordinal1(X49))|k1_funct_1(X50,X53)=k8_surrealn(X53)))|(~v1_relat_1(X50)|~v1_funct_1(X50)|~v5_ordinal1(X50))|~v3_ordinal1(X49))&(v4_ordinal1(esk6_2(X49,X50))|(r2_tarski(k1_ordinal1(esk5_2(X49,X50)),k1_ordinal1(X49))|k9_xtuple_0(X50)!=k1_ordinal1(X49))|(~v3_ordinal1(X53)|(~r2_tarski(X53,k1_ordinal1(X49))|k1_funct_1(X50,X53)=k8_surrealn(X53)))|(~v1_relat_1(X50)|~v1_funct_1(X50)|~v5_ordinal1(X50))|~v3_ordinal1(X49)))&(k1_funct_1(X50,esk6_2(X49,X50))!=k4_tarski(k2_relset_1(k10_xtuple_0(X50),k5_relat_1(X50,esk6_2(X49,X50))),k1_xboole_0)|(r2_tarski(k1_ordinal1(esk5_2(X49,X50)),k1_ordinal1(X49))|k9_xtuple_0(X50)!=k1_ordinal1(X49))|(~v3_ordinal1(X53)|(~r2_tarski(X53,k1_ordinal1(X49))|k1_funct_1(X50,X53)=k8_surrealn(X53)))|(~v1_relat_1(X50)|~v1_funct_1(X50)|~v5_ordinal1(X50))|~v3_ordinal1(X49))))&((v3_ordinal1(esk6_2(X49,X50))|(k1_funct_1(X50,k1_ordinal1(esk5_2(X49,X50)))!=k4_tarski(k1_tarski(k1_funct_1(X50,esk5_2(X49,X50))),k1_xboole_0)|k9_xtuple_0(X50)!=k1_ordinal1(X49))|(~v3_ordinal1(X53)|(~r2_tarski(X53,k1_ordinal1(X49))|k1_funct_1(X50,X53)=k8_surrealn(X53)))|(~v1_relat_1(X50)|~v1_funct_1(X50)|~v5_ordinal1(X50))|~v3_ordinal1(X49))&(((r2_tarski(esk6_2(X49,X50),k1_ordinal1(X49))|(k1_funct_1(X50,k1_ordinal1(esk5_2(X49,X50)))!=k4_tarski(k1_tarski(k1_funct_1(X50,esk5_2(X49,X50))),k1_xboole_0)|k9_xtuple_0(X50)!=k1_ordinal1(X49))|(~v3_ordinal1(X53)|(~r2_tarski(X53,k1_ordinal1(X49))|k1_funct_1(X50,X53)=k8_surrealn(X53)))|(~v1_relat_1(X50)|~v1_funct_1(X50)|~v5_ordinal1(X50))|~v3_ordinal1(X49))&(v4_ordinal1(esk6_2(X49,X50))|(k1_funct_1(X50,k1_ordinal1(esk5_2(X49,X50)))!=k4_tarski(k1_tarski(k1_funct_1(X50,esk5_2(X49,X50))),k1_xboole_0)|k9_xtuple_0(X50)!=k1_ordinal1(X49))|(~v3_ordinal1(X53)|(~r2_tarski(X53,k1_ordinal1(X49))|k1_funct_1(X50,X53)=k8_surrealn(X53)))|(~v1_relat_1(X50)|~v1_funct_1(X50)|~v5_ordinal1(X50))|~v3_ordinal1(X49)))&(k1_funct_1(X50,esk6_2(X49,X50))!=k4_tarski(k2_relset_1(k10_xtuple_0(X50),k5_relat_1(X50,esk6_2(X49,X50))),k1_xboole_0)|(k1_funct_1(X50,k1_ordinal1(esk5_2(X49,X50)))!=k4_tarski(k1_tarski(k1_funct_1(X50,esk5_2(X49,X50))),k1_xboole_0)|k9_xtuple_0(X50)!=k1_ordinal1(X49))|(~v3_ordinal1(X53)|(~r2_tarski(X53,k1_ordinal1(X49))|k1_funct_1(X50,X53)=k8_surrealn(X53)))|(~v1_relat_1(X50)|~v1_funct_1(X50)|~v5_ordinal1(X50))|~v3_ordinal1(X49)))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t63_surrealn])])])])])).
cnf(c_0_21, plain, (v3_ordinal1(X2)|~v3_ordinal1(X1)|~m1_subset_1(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_15])).
cnf(c_0_22, plain, (m1_subset_1(X1,X2)|~r2_tarski(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_16])).
cnf(c_0_23, plain, (r2_tarski(X1,k2_xboole_0(X2,k1_tarski(X2)))|~r2_tarski(X1,X2)|~v1_ordinal1(k2_xboole_0(X2,k1_tarski(X2)))), inference(spm,[status(thm)],[c_0_17, c_0_18])).
cnf(c_0_24, plain, (v1_ordinal1(X1)|~v3_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_19])).
fof(c_0_25, plain, ![X1]:(v3_ordinal1(X1)=>(~v1_xboole_0(k1_ordinal1(X1))&v3_ordinal1(k1_ordinal1(X1)))), inference(fof_simplification,[status(thm)],[fc2_ordinal1])).
cnf(c_0_26, plain, (r2_tarski(esk6_2(X1,X2),k1_ordinal1(X1))|v3_ordinal1(esk5_2(X1,X2))|k1_funct_1(X2,X3)=k8_surrealn(X3)|k9_xtuple_0(X2)!=k1_ordinal1(X1)|~v3_ordinal1(X3)|~r2_tarski(X3,k1_ordinal1(X1))|~v1_relat_1(X2)|~v1_funct_1(X2)|~v5_ordinal1(X2)|~v3_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_20])).
cnf(c_0_27, plain, (v3_ordinal1(X1)|~r2_tarski(X1,X2)|~v3_ordinal1(X2)), inference(spm,[status(thm)],[c_0_21, c_0_22])).
cnf(c_0_28, plain, (r2_tarski(X1,k2_xboole_0(X2,k1_tarski(X2)))|~r2_tarski(X1,X2)|~v3_ordinal1(k2_xboole_0(X2,k1_tarski(X2)))), inference(spm,[status(thm)],[c_0_23, c_0_24])).
fof(c_0_29, plain, ![X42]:((~v1_xboole_0(k1_ordinal1(X42))|~v3_ordinal1(X42))&(v3_ordinal1(k1_ordinal1(X42))|~v3_ordinal1(X42))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_25])])])).
fof(c_0_30, plain, ![X32, X33, X35, X36, X37, X38]:((((((((v1_relat_1(esk2_2(X32,X33))|X33!=k8_surrealn(X32)|~v3_ordinal1(X32))&(v1_funct_1(esk2_2(X32,X33))|X33!=k8_surrealn(X32)|~v3_ordinal1(X32)))&(v5_ordinal1(esk2_2(X32,X33))|X33!=k8_surrealn(X32)|~v3_ordinal1(X32)))&(X33=k1_funct_1(esk2_2(X32,X33),X32)|X33!=k8_surrealn(X32)|~v3_ordinal1(X32)))&(k9_xtuple_0(esk2_2(X32,X33))=k1_ordinal1(X32)|X33!=k8_surrealn(X32)|~v3_ordinal1(X32)))&(~v3_ordinal1(X35)|(~r2_tarski(k1_ordinal1(X35),k1_ordinal1(X32))|k1_funct_1(esk2_2(X32,X33),k1_ordinal1(X35))=k4_tarski(k1_tarski(k1_funct_1(esk2_2(X32,X33),X35)),k1_xboole_0))|X33!=k8_surrealn(X32)|~v3_ordinal1(X32)))&(~v3_ordinal1(X36)|(~r2_tarski(X36,k1_ordinal1(X32))|~v4_ordinal1(X36)|k1_funct_1(esk2_2(X32,X33),X36)=k4_tarski(k2_relset_1(k10_xtuple_0(esk2_2(X32,X33)),k5_relat_1(esk2_2(X32,X33),X36)),k1_xboole_0))|X33!=k8_surrealn(X32)|~v3_ordinal1(X32)))&(((v3_ordinal1(esk4_3(X32,X37,X38))|(v3_ordinal1(esk3_3(X32,X37,X38))|(~v1_relat_1(X38)|~v1_funct_1(X38)|~v5_ordinal1(X38)|X37!=k1_funct_1(X38,X32)|k9_xtuple_0(X38)!=k1_ordinal1(X32)))|X37=k8_surrealn(X32)|~v3_ordinal1(X32))&(((r2_tarski(esk4_3(X32,X37,X38),k1_ordinal1(X32))|(v3_ordinal1(esk3_3(X32,X37,X38))|(~v1_relat_1(X38)|~v1_funct_1(X38)|~v5_ordinal1(X38)|X37!=k1_funct_1(X38,X32)|k9_xtuple_0(X38)!=k1_ordinal1(X32)))|X37=k8_surrealn(X32)|~v3_ordinal1(X32))&(v4_ordinal1(esk4_3(X32,X37,X38))|(v3_ordinal1(esk3_3(X32,X37,X38))|(~v1_relat_1(X38)|~v1_funct_1(X38)|~v5_ordinal1(X38)|X37!=k1_funct_1(X38,X32)|k9_xtuple_0(X38)!=k1_ordinal1(X32)))|X37=k8_surrealn(X32)|~v3_ordinal1(X32)))&(k1_funct_1(X38,esk4_3(X32,X37,X38))!=k4_tarski(k2_relset_1(k10_xtuple_0(X38),k5_relat_1(X38,esk4_3(X32,X37,X38))),k1_xboole_0)|(v3_ordinal1(esk3_3(X32,X37,X38))|(~v1_relat_1(X38)|~v1_funct_1(X38)|~v5_ordinal1(X38)|X37!=k1_funct_1(X38,X32)|k9_xtuple_0(X38)!=k1_ordinal1(X32)))|X37=k8_surrealn(X32)|~v3_ordinal1(X32))))&(((v3_ordinal1(esk4_3(X32,X37,X38))|(r2_tarski(k1_ordinal1(esk3_3(X32,X37,X38)),k1_ordinal1(X32))|(~v1_relat_1(X38)|~v1_funct_1(X38)|~v5_ordinal1(X38)|X37!=k1_funct_1(X38,X32)|k9_xtuple_0(X38)!=k1_ordinal1(X32)))|X37=k8_surrealn(X32)|~v3_ordinal1(X32))&(((r2_tarski(esk4_3(X32,X37,X38),k1_ordinal1(X32))|(r2_tarski(k1_ordinal1(esk3_3(X32,X37,X38)),k1_ordinal1(X32))|(~v1_relat_1(X38)|~v1_funct_1(X38)|~v5_ordinal1(X38)|X37!=k1_funct_1(X38,X32)|k9_xtuple_0(X38)!=k1_ordinal1(X32)))|X37=k8_surrealn(X32)|~v3_ordinal1(X32))&(v4_ordinal1(esk4_3(X32,X37,X38))|(r2_tarski(k1_ordinal1(esk3_3(X32,X37,X38)),k1_ordinal1(X32))|(~v1_relat_1(X38)|~v1_funct_1(X38)|~v5_ordinal1(X38)|X37!=k1_funct_1(X38,X32)|k9_xtuple_0(X38)!=k1_ordinal1(X32)))|X37=k8_surrealn(X32)|~v3_ordinal1(X32)))&(k1_funct_1(X38,esk4_3(X32,X37,X38))!=k4_tarski(k2_relset_1(k10_xtuple_0(X38),k5_relat_1(X38,esk4_3(X32,X37,X38))),k1_xboole_0)|(r2_tarski(k1_ordinal1(esk3_3(X32,X37,X38)),k1_ordinal1(X32))|(~v1_relat_1(X38)|~v1_funct_1(X38)|~v5_ordinal1(X38)|X37!=k1_funct_1(X38,X32)|k9_xtuple_0(X38)!=k1_ordinal1(X32)))|X37=k8_surrealn(X32)|~v3_ordinal1(X32))))&((v3_ordinal1(esk4_3(X32,X37,X38))|(k1_funct_1(X38,k1_ordinal1(esk3_3(X32,X37,X38)))!=k4_tarski(k1_tarski(k1_funct_1(X38,esk3_3(X32,X37,X38))),k1_xboole_0)|(~v1_relat_1(X38)|~v1_funct_1(X38)|~v5_ordinal1(X38)|X37!=k1_funct_1(X38,X32)|k9_xtuple_0(X38)!=k1_ordinal1(X32)))|X37=k8_surrealn(X32)|~v3_ordinal1(X32))&(((r2_tarski(esk4_3(X32,X37,X38),k1_ordinal1(X32))|(k1_funct_1(X38,k1_ordinal1(esk3_3(X32,X37,X38)))!=k4_tarski(k1_tarski(k1_funct_1(X38,esk3_3(X32,X37,X38))),k1_xboole_0)|(~v1_relat_1(X38)|~v1_funct_1(X38)|~v5_ordinal1(X38)|X37!=k1_funct_1(X38,X32)|k9_xtuple_0(X38)!=k1_ordinal1(X32)))|X37=k8_surrealn(X32)|~v3_ordinal1(X32))&(v4_ordinal1(esk4_3(X32,X37,X38))|(k1_funct_1(X38,k1_ordinal1(esk3_3(X32,X37,X38)))!=k4_tarski(k1_tarski(k1_funct_1(X38,esk3_3(X32,X37,X38))),k1_xboole_0)|(~v1_relat_1(X38)|~v1_funct_1(X38)|~v5_ordinal1(X38)|X37!=k1_funct_1(X38,X32)|k9_xtuple_0(X38)!=k1_ordinal1(X32)))|X37=k8_surrealn(X32)|~v3_ordinal1(X32)))&(k1_funct_1(X38,esk4_3(X32,X37,X38))!=k4_tarski(k2_relset_1(k10_xtuple_0(X38),k5_relat_1(X38,esk4_3(X32,X37,X38))),k1_xboole_0)|(k1_funct_1(X38,k1_ordinal1(esk3_3(X32,X37,X38)))!=k4_tarski(k1_tarski(k1_funct_1(X38,esk3_3(X32,X37,X38))),k1_xboole_0)|(~v1_relat_1(X38)|~v1_funct_1(X38)|~v5_ordinal1(X38)|X37!=k1_funct_1(X38,X32)|k9_xtuple_0(X38)!=k1_ordinal1(X32)))|X37=k8_surrealn(X32)|~v3_ordinal1(X32))))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[d11_surrealn])])])])])])).
cnf(c_0_31, plain, (v4_ordinal1(esk6_2(X1,X2))|v3_ordinal1(esk5_2(X1,X2))|k1_funct_1(X2,X3)=k8_surrealn(X3)|k9_xtuple_0(X2)!=k1_ordinal1(X1)|~v3_ordinal1(X3)|~r2_tarski(X3,k1_ordinal1(X1))|~v1_relat_1(X2)|~v1_funct_1(X2)|~v5_ordinal1(X2)|~v3_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_20])).
cnf(c_0_32, plain, (k1_funct_1(X2,X3)=k8_surrealn(X3)|v3_ordinal1(esk5_2(X1,X2))|r2_tarski(esk6_2(X1,X2),k2_xboole_0(X1,k1_tarski(X1)))|k9_xtuple_0(X2)!=k2_xboole_0(X1,k1_tarski(X1))|~v3_ordinal1(X3)|~v3_ordinal1(X1)|~v1_relat_1(X2)|~v1_funct_1(X2)|~v5_ordinal1(X2)|~r2_tarski(X3,k2_xboole_0(X1,k1_tarski(X1)))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_26, c_0_14]), c_0_14]), c_0_14])).
cnf(c_0_33, plain, (v3_ordinal1(X1)|~v3_ordinal1(k2_xboole_0(X1,k1_tarski(X1)))), inference(spm,[status(thm)],[c_0_27, c_0_18])).
cnf(c_0_34, plain, (v3_ordinal1(X1)|~r2_tarski(X1,X2)|~v3_ordinal1(k2_xboole_0(X2,k1_tarski(X2)))), inference(spm,[status(thm)],[c_0_27, c_0_28])).
cnf(c_0_35, plain, (v3_ordinal1(k1_ordinal1(X1))|~v3_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_29])).
cnf(c_0_36, plain, (k9_xtuple_0(esk2_2(X1,X2))=k1_ordinal1(X1)|X2!=k8_surrealn(X1)|~v3_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_30])).
cnf(c_0_37, plain, (k1_funct_1(X2,X3)=k8_surrealn(X3)|v3_ordinal1(esk5_2(X1,X2))|v4_ordinal1(esk6_2(X1,X2))|k9_xtuple_0(X2)!=k2_xboole_0(X1,k1_tarski(X1))|~v3_ordinal1(X3)|~v3_ordinal1(X1)|~v1_relat_1(X2)|~v1_funct_1(X2)|~v5_ordinal1(X2)|~r2_tarski(X3,k2_xboole_0(X1,k1_tarski(X1)))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_31, c_0_14]), c_0_14])).
cnf(c_0_38, plain, (k1_funct_1(X1,X2)=k8_surrealn(X2)|r2_tarski(esk6_2(X3,X1),k2_xboole_0(X3,k1_tarski(X3)))|v3_ordinal1(esk5_2(X3,X1))|k9_xtuple_0(X1)!=k2_xboole_0(X3,k1_tarski(X3))|~r2_tarski(X2,X3)|~v5_ordinal1(X1)|~v1_funct_1(X1)|~v1_relat_1(X1)|~v3_ordinal1(k2_xboole_0(X3,k1_tarski(X3)))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_32, c_0_28]), c_0_33]), c_0_34])).
cnf(c_0_39, plain, (v3_ordinal1(k2_xboole_0(X1,k1_tarski(X1)))|~v3_ordinal1(X1)), inference(rw,[status(thm)],[c_0_35, c_0_14])).
cnf(c_0_40, plain, (k9_xtuple_0(esk2_2(X1,X2))=k2_xboole_0(X1,k1_tarski(X1))|X2!=k8_surrealn(X1)|~v3_ordinal1(X1)), inference(rw,[status(thm)],[c_0_36, c_0_14])).
cnf(c_0_41, plain, (k1_funct_1(X1,X2)=k8_surrealn(X2)|v4_ordinal1(esk6_2(X3,X1))|v3_ordinal1(esk5_2(X3,X1))|k9_xtuple_0(X1)!=k2_xboole_0(X3,k1_tarski(X3))|~r2_tarski(X2,X3)|~v5_ordinal1(X1)|~v1_funct_1(X1)|~v1_relat_1(X1)|~v3_ordinal1(k2_xboole_0(X3,k1_tarski(X3)))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_37, c_0_28]), c_0_33]), c_0_34])).
cnf(c_0_42, plain, (k1_funct_1(X1,X2)=k8_surrealn(X2)|r2_tarski(esk6_2(X3,X1),k2_xboole_0(X3,k1_tarski(X3)))|v3_ordinal1(esk5_2(X3,X1))|k9_xtuple_0(X1)!=k2_xboole_0(X3,k1_tarski(X3))|~r2_tarski(X2,X3)|~v5_ordinal1(X1)|~v1_funct_1(X1)|~v1_relat_1(X1)|~v3_ordinal1(X3)), inference(spm,[status(thm)],[c_0_38, c_0_39])).
cnf(c_0_43, plain, (k2_xboole_0(X1,k1_tarski(X1))=k9_xtuple_0(esk2_2(X1,k8_surrealn(X1)))|~v3_ordinal1(X1)), inference(er,[status(thm)],[c_0_40])).
cnf(c_0_44, plain, (v1_relat_1(esk2_2(X1,X2))|X2!=k8_surrealn(X1)|~v3_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_30])).
cnf(c_0_45, plain, (v1_funct_1(esk2_2(X1,X2))|X2!=k8_surrealn(X1)|~v3_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_30])).
cnf(c_0_46, plain, (v5_ordinal1(esk2_2(X1,X2))|X2!=k8_surrealn(X1)|~v3_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_30])).
cnf(c_0_47, plain, (k1_funct_1(X1,X2)=k8_surrealn(X2)|v4_ordinal1(esk6_2(X3,X1))|v3_ordinal1(esk5_2(X3,X1))|k9_xtuple_0(X1)!=k2_xboole_0(X3,k1_tarski(X3))|~r2_tarski(X2,X3)|~v5_ordinal1(X1)|~v1_funct_1(X1)|~v1_relat_1(X1)|~v3_ordinal1(X3)), inference(spm,[status(thm)],[c_0_41, c_0_39])).
cnf(c_0_48, plain, (k1_funct_1(esk2_2(X2,X3),X1)=k4_tarski(k2_relset_1(k10_xtuple_0(esk2_2(X2,X3)),k5_relat_1(esk2_2(X2,X3),X1)),k1_xboole_0)|~v3_ordinal1(X1)|~r2_tarski(X1,k1_ordinal1(X2))|~v4_ordinal1(X1)|X3!=k8_surrealn(X2)|~v3_ordinal1(X2)), inference(split_conjunct,[status(thm)],[c_0_30])).
cnf(c_0_49, plain, (k1_funct_1(X1,X2)=k8_surrealn(X2)|r2_tarski(esk6_2(X3,X1),k9_xtuple_0(esk2_2(X3,k8_surrealn(X3))))|v3_ordinal1(esk5_2(X3,X1))|k9_xtuple_0(X1)!=k9_xtuple_0(esk2_2(X3,k8_surrealn(X3)))|~r2_tarski(X2,X3)|~v5_ordinal1(X1)|~v1_funct_1(X1)|~v1_relat_1(X1)|~v3_ordinal1(X3)), inference(spm,[status(thm)],[c_0_42, c_0_43])).
cnf(c_0_50, plain, (v1_relat_1(esk2_2(X1,k8_surrealn(X1)))|~v3_ordinal1(X1)), inference(er,[status(thm)],[c_0_44])).
cnf(c_0_51, plain, (v1_funct_1(esk2_2(X1,k8_surrealn(X1)))|~v3_ordinal1(X1)), inference(er,[status(thm)],[c_0_45])).
cnf(c_0_52, plain, (v5_ordinal1(esk2_2(X1,k8_surrealn(X1)))|~v3_ordinal1(X1)), inference(er,[status(thm)],[c_0_46])).
cnf(c_0_53, plain, (k1_funct_1(X1,X2)=k8_surrealn(X2)|v4_ordinal1(esk6_2(X3,X1))|v3_ordinal1(esk5_2(X3,X1))|k9_xtuple_0(X1)!=k9_xtuple_0(esk2_2(X3,k8_surrealn(X3)))|~r2_tarski(X2,X3)|~v5_ordinal1(X1)|~v1_funct_1(X1)|~v1_relat_1(X1)|~v3_ordinal1(X3)), inference(spm,[status(thm)],[c_0_47, c_0_43])).
cnf(c_0_54, plain, (v3_ordinal1(esk5_2(X2,X1))|k1_funct_1(X1,X3)=k8_surrealn(X3)|k1_funct_1(X1,esk6_2(X2,X1))!=k4_tarski(k2_relset_1(k10_xtuple_0(X1),k5_relat_1(X1,esk6_2(X2,X1))),k1_xboole_0)|k9_xtuple_0(X1)!=k1_ordinal1(X2)|~v3_ordinal1(X3)|~r2_tarski(X3,k1_ordinal1(X2))|~v1_relat_1(X1)|~v1_funct_1(X1)|~v5_ordinal1(X1)|~v3_ordinal1(X2)), inference(split_conjunct,[status(thm)],[c_0_20])).
cnf(c_0_55, plain, (k1_funct_1(esk2_2(X2,X3),X1)=k4_tarski(k2_relset_1(k10_xtuple_0(esk2_2(X2,X3)),k5_relat_1(esk2_2(X2,X3),X1)),k1_xboole_0)|X3!=k8_surrealn(X2)|~v3_ordinal1(X2)|~v3_ordinal1(X1)|~v4_ordinal1(X1)|~r2_tarski(X1,k2_xboole_0(X2,k1_tarski(X2)))), inference(rw,[status(thm)],[c_0_48, c_0_14])).
cnf(c_0_56, plain, (v3_ordinal1(esk6_2(X1,X2))|v3_ordinal1(esk5_2(X1,X2))|k1_funct_1(X2,X3)=k8_surrealn(X3)|k9_xtuple_0(X2)!=k1_ordinal1(X1)|~v3_ordinal1(X3)|~r2_tarski(X3,k1_ordinal1(X1))|~v1_relat_1(X2)|~v1_funct_1(X2)|~v5_ordinal1(X2)|~v3_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_20])).
cnf(c_0_57, plain, (k1_funct_1(esk2_2(X1,k8_surrealn(X1)),X2)=k8_surrealn(X2)|r2_tarski(esk6_2(X1,esk2_2(X1,k8_surrealn(X1))),k9_xtuple_0(esk2_2(X1,k8_surrealn(X1))))|v3_ordinal1(esk5_2(X1,esk2_2(X1,k8_surrealn(X1))))|~r2_tarski(X2,X1)|~v3_ordinal1(X1)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_49]), c_0_50]), c_0_51]), c_0_52])).
fof(c_0_58, negated_conjecture, ~(![X1]:(v3_ordinal1(X1)=>k8_surrealn(k1_ordinal1(X1))=k4_tarski(k1_tarski(k8_surrealn(X1)),k1_xboole_0))), inference(assume_negation,[status(cth)],[t65_surrealn])).
cnf(c_0_59, plain, (k1_funct_1(esk2_2(X1,k8_surrealn(X1)),X2)=k8_surrealn(X2)|v4_ordinal1(esk6_2(X1,esk2_2(X1,k8_surrealn(X1))))|v3_ordinal1(esk5_2(X1,esk2_2(X1,k8_surrealn(X1))))|~r2_tarski(X2,X1)|~v3_ordinal1(X1)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_53]), c_0_50]), c_0_51]), c_0_52])).
cnf(c_0_60, plain, (r2_tarski(esk6_2(X1,X2),k1_ordinal1(X1))|r2_tarski(k1_ordinal1(esk5_2(X1,X2)),k1_ordinal1(X1))|k1_funct_1(X2,X3)=k8_surrealn(X3)|k9_xtuple_0(X2)!=k1_ordinal1(X1)|~v3_ordinal1(X3)|~r2_tarski(X3,k1_ordinal1(X1))|~v1_relat_1(X2)|~v1_funct_1(X2)|~v5_ordinal1(X2)|~v3_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_20])).
cnf(c_0_61, plain, (k1_funct_1(X1,X3)=k8_surrealn(X3)|v3_ordinal1(esk5_2(X2,X1))|k9_xtuple_0(X1)!=k2_xboole_0(X2,k1_tarski(X2))|k1_funct_1(X1,esk6_2(X2,X1))!=k4_tarski(k2_relset_1(k10_xtuple_0(X1),k5_relat_1(X1,esk6_2(X2,X1))),k1_xboole_0)|~v3_ordinal1(X3)|~v3_ordinal1(X2)|~v1_relat_1(X1)|~v1_funct_1(X1)|~v5_ordinal1(X1)|~r2_tarski(X3,k2_xboole_0(X2,k1_tarski(X2)))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_54, c_0_14]), c_0_14])).
cnf(c_0_62, plain, (k4_tarski(k2_relset_1(k10_xtuple_0(esk2_2(X1,k8_surrealn(X1))),k5_relat_1(esk2_2(X1,k8_surrealn(X1)),X2)),k1_xboole_0)=k1_funct_1(esk2_2(X1,k8_surrealn(X1)),X2)|~v4_ordinal1(X2)|~r2_tarski(X2,k2_xboole_0(X1,k1_tarski(X1)))|~v3_ordinal1(X1)|~v3_ordinal1(X2)), inference(er,[status(thm)],[c_0_55])).
cnf(c_0_63, plain, (k1_funct_1(X2,X3)=k8_surrealn(X3)|v3_ordinal1(esk5_2(X1,X2))|v3_ordinal1(esk6_2(X1,X2))|k9_xtuple_0(X2)!=k2_xboole_0(X1,k1_tarski(X1))|~v3_ordinal1(X3)|~v3_ordinal1(X1)|~v1_relat_1(X2)|~v1_funct_1(X2)|~v5_ordinal1(X2)|~r2_tarski(X3,k2_xboole_0(X1,k1_tarski(X1)))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_56, c_0_14]), c_0_14])).
cnf(c_0_64, plain, (k1_funct_1(esk2_2(k2_xboole_0(X1,k1_tarski(X1)),k8_surrealn(k2_xboole_0(X1,k1_tarski(X1)))),X1)=k8_surrealn(X1)|r2_tarski(esk6_2(k2_xboole_0(X1,k1_tarski(X1)),esk2_2(k2_xboole_0(X1,k1_tarski(X1)),k8_surrealn(k2_xboole_0(X1,k1_tarski(X1))))),k9_xtuple_0(esk2_2(k2_xboole_0(X1,k1_tarski(X1)),k8_surrealn(k2_xboole_0(X1,k1_tarski(X1))))))|v3_ordinal1(esk5_2(k2_xboole_0(X1,k1_tarski(X1)),esk2_2(k2_xboole_0(X1,k1_tarski(X1)),k8_surrealn(k2_xboole_0(X1,k1_tarski(X1))))))|~v3_ordinal1(k2_xboole_0(X1,k1_tarski(X1)))), inference(spm,[status(thm)],[c_0_57, c_0_18])).
fof(c_0_65, negated_conjecture, (v3_ordinal1(esk1_0)&k8_surrealn(k1_ordinal1(esk1_0))!=k4_tarski(k1_tarski(k8_surrealn(esk1_0)),k1_xboole_0)), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_58])])])).
cnf(c_0_66, plain, (k1_funct_1(esk2_2(k2_xboole_0(X1,k1_tarski(X1)),k8_surrealn(k2_xboole_0(X1,k1_tarski(X1)))),X1)=k8_surrealn(X1)|v4_ordinal1(esk6_2(k2_xboole_0(X1,k1_tarski(X1)),esk2_2(k2_xboole_0(X1,k1_tarski(X1)),k8_surrealn(k2_xboole_0(X1,k1_tarski(X1))))))|v3_ordinal1(esk5_2(k2_xboole_0(X1,k1_tarski(X1)),esk2_2(k2_xboole_0(X1,k1_tarski(X1)),k8_surrealn(k2_xboole_0(X1,k1_tarski(X1))))))|~v3_ordinal1(k2_xboole_0(X1,k1_tarski(X1)))), inference(spm,[status(thm)],[c_0_59, c_0_18])).
cnf(c_0_67, plain, (v4_ordinal1(esk6_2(X1,X2))|r2_tarski(k1_ordinal1(esk5_2(X1,X2)),k1_ordinal1(X1))|k1_funct_1(X2,X3)=k8_surrealn(X3)|k9_xtuple_0(X2)!=k1_ordinal1(X1)|~v3_ordinal1(X3)|~r2_tarski(X3,k1_ordinal1(X1))|~v1_relat_1(X2)|~v1_funct_1(X2)|~v5_ordinal1(X2)|~v3_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_20])).
cnf(c_0_68, plain, (k1_funct_1(X2,X3)=k8_surrealn(X3)|r2_tarski(esk6_2(X1,X2),k2_xboole_0(X1,k1_tarski(X1)))|r2_tarski(k2_xboole_0(esk5_2(X1,X2),k1_tarski(esk5_2(X1,X2))),k2_xboole_0(X1,k1_tarski(X1)))|k9_xtuple_0(X2)!=k2_xboole_0(X1,k1_tarski(X1))|~v3_ordinal1(X3)|~v3_ordinal1(X1)|~v1_relat_1(X2)|~v1_funct_1(X2)|~v5_ordinal1(X2)|~r2_tarski(X3,k2_xboole_0(X1,k1_tarski(X1)))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_60, c_0_14]), c_0_14]), c_0_14]), c_0_14]), c_0_14])).
cnf(c_0_69, plain, (k1_funct_1(esk2_2(X1,k8_surrealn(X1)),X2)=k8_surrealn(X2)|v3_ordinal1(esk5_2(X3,esk2_2(X1,k8_surrealn(X1))))|k9_xtuple_0(esk2_2(X1,k8_surrealn(X1)))!=k2_xboole_0(X3,k1_tarski(X3))|~v4_ordinal1(esk6_2(X3,esk2_2(X1,k8_surrealn(X1))))|~r2_tarski(esk6_2(X3,esk2_2(X1,k8_surrealn(X1))),k2_xboole_0(X1,k1_tarski(X1)))|~r2_tarski(X2,k2_xboole_0(X3,k1_tarski(X3)))|~v3_ordinal1(X2)|~v3_ordinal1(X3)|~v3_ordinal1(X1)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_61, c_0_62]), c_0_63]), c_0_50]), c_0_51]), c_0_52])).
cnf(c_0_70, plain, (k1_funct_1(esk2_2(k2_xboole_0(X1,k1_tarski(X1)),k8_surrealn(k2_xboole_0(X1,k1_tarski(X1)))),X1)=k8_surrealn(X1)|r2_tarski(esk6_2(k2_xboole_0(X1,k1_tarski(X1)),esk2_2(k2_xboole_0(X1,k1_tarski(X1)),k8_surrealn(k2_xboole_0(X1,k1_tarski(X1))))),k9_xtuple_0(esk2_2(k2_xboole_0(X1,k1_tarski(X1)),k8_surrealn(k2_xboole_0(X1,k1_tarski(X1))))))|v3_ordinal1(esk5_2(k2_xboole_0(X1,k1_tarski(X1)),esk2_2(k2_xboole_0(X1,k1_tarski(X1)),k8_surrealn(k2_xboole_0(X1,k1_tarski(X1))))))|~v3_ordinal1(X1)), inference(spm,[status(thm)],[c_0_64, c_0_39])).
cnf(c_0_71, negated_conjecture, (v3_ordinal1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_65])).
cnf(c_0_72, plain, (k1_funct_1(esk2_2(k2_xboole_0(X1,k1_tarski(X1)),k8_surrealn(k2_xboole_0(X1,k1_tarski(X1)))),X1)=k8_surrealn(X1)|v4_ordinal1(esk6_2(k2_xboole_0(X1,k1_tarski(X1)),esk2_2(k2_xboole_0(X1,k1_tarski(X1)),k8_surrealn(k2_xboole_0(X1,k1_tarski(X1))))))|v3_ordinal1(esk5_2(k2_xboole_0(X1,k1_tarski(X1)),esk2_2(k2_xboole_0(X1,k1_tarski(X1)),k8_surrealn(k2_xboole_0(X1,k1_tarski(X1))))))|~v3_ordinal1(X1)), inference(spm,[status(thm)],[c_0_66, c_0_39])).
cnf(c_0_73, plain, (k1_funct_1(X2,X3)=k8_surrealn(X3)|v4_ordinal1(esk6_2(X1,X2))|r2_tarski(k2_xboole_0(esk5_2(X1,X2),k1_tarski(esk5_2(X1,X2))),k2_xboole_0(X1,k1_tarski(X1)))|k9_xtuple_0(X2)!=k2_xboole_0(X1,k1_tarski(X1))|~v3_ordinal1(X3)|~v3_ordinal1(X1)|~v1_relat_1(X2)|~v1_funct_1(X2)|~v5_ordinal1(X2)|~r2_tarski(X3,k2_xboole_0(X1,k1_tarski(X1)))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_67, c_0_14]), c_0_14]), c_0_14]), c_0_14])).
cnf(c_0_74, plain, (k1_funct_1(X1,X2)=k8_surrealn(X2)|r2_tarski(k2_xboole_0(esk5_2(X3,X1),k1_tarski(esk5_2(X3,X1))),k2_xboole_0(X3,k1_tarski(X3)))|r2_tarski(esk6_2(X3,X1),k2_xboole_0(X3,k1_tarski(X3)))|k9_xtuple_0(X1)!=k2_xboole_0(X3,k1_tarski(X3))|~r2_tarski(X2,X3)|~v5_ordinal1(X1)|~v1_funct_1(X1)|~v1_relat_1(X1)|~v3_ordinal1(k2_xboole_0(X3,k1_tarski(X3)))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_68, c_0_28]), c_0_33]), c_0_34])).
cnf(c_0_75, plain, (k1_funct_1(esk2_2(X1,k8_surrealn(X1)),X2)=k8_surrealn(X2)|v3_ordinal1(esk5_2(X3,esk2_2(X1,k8_surrealn(X1))))|k9_xtuple_0(esk2_2(X1,k8_surrealn(X1)))!=k2_xboole_0(X3,k1_tarski(X3))|~v4_ordinal1(esk6_2(X3,esk2_2(X1,k8_surrealn(X1))))|~r2_tarski(esk6_2(X3,esk2_2(X1,k8_surrealn(X1))),k9_xtuple_0(esk2_2(X1,k8_surrealn(X1))))|~r2_tarski(X2,k2_xboole_0(X3,k1_tarski(X3)))|~v3_ordinal1(X2)|~v3_ordinal1(X3)|~v3_ordinal1(X1)), inference(spm,[status(thm)],[c_0_69, c_0_43])).
cnf(c_0_76, negated_conjecture, (k1_funct_1(esk2_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),k8_surrealn(k2_xboole_0(esk1_0,k1_tarski(esk1_0)))),esk1_0)=k8_surrealn(esk1_0)|r2_tarski(esk6_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),esk2_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),k8_surrealn(k2_xboole_0(esk1_0,k1_tarski(esk1_0))))),k9_xtuple_0(esk2_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),k8_surrealn(k2_xboole_0(esk1_0,k1_tarski(esk1_0))))))|v3_ordinal1(esk5_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),esk2_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),k8_surrealn(k2_xboole_0(esk1_0,k1_tarski(esk1_0))))))), inference(spm,[status(thm)],[c_0_70, c_0_71])).
cnf(c_0_77, negated_conjecture, (k1_funct_1(esk2_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),k8_surrealn(k2_xboole_0(esk1_0,k1_tarski(esk1_0)))),esk1_0)=k8_surrealn(esk1_0)|v4_ordinal1(esk6_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),esk2_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),k8_surrealn(k2_xboole_0(esk1_0,k1_tarski(esk1_0))))))|v3_ordinal1(esk5_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),esk2_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),k8_surrealn(k2_xboole_0(esk1_0,k1_tarski(esk1_0))))))), inference(spm,[status(thm)],[c_0_72, c_0_71])).
cnf(c_0_78, plain, (k1_funct_1(X1,X2)=k8_surrealn(X2)|v4_ordinal1(esk6_2(X3,X1))|r2_tarski(k2_xboole_0(esk5_2(X3,X1),k1_tarski(esk5_2(X3,X1))),k2_xboole_0(X3,k1_tarski(X3)))|k9_xtuple_0(X1)!=k2_xboole_0(X3,k1_tarski(X3))|~r2_tarski(X2,X3)|~v5_ordinal1(X1)|~v1_funct_1(X1)|~v1_relat_1(X1)|~v3_ordinal1(k2_xboole_0(X3,k1_tarski(X3)))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_73, c_0_28]), c_0_33]), c_0_34])).
cnf(c_0_79, plain, (k1_funct_1(X1,X2)=k8_surrealn(X2)|r2_tarski(k2_xboole_0(esk5_2(X3,X1),k1_tarski(esk5_2(X3,X1))),k2_xboole_0(X3,k1_tarski(X3)))|r2_tarski(esk6_2(X3,X1),k2_xboole_0(X3,k1_tarski(X3)))|k9_xtuple_0(X1)!=k2_xboole_0(X3,k1_tarski(X3))|~r2_tarski(X2,X3)|~v5_ordinal1(X1)|~v1_funct_1(X1)|~v1_relat_1(X1)|~v3_ordinal1(X3)), inference(spm,[status(thm)],[c_0_74, c_0_39])).
cnf(c_0_80, negated_conjecture, (k1_funct_1(esk2_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),k8_surrealn(k2_xboole_0(esk1_0,k1_tarski(esk1_0)))),esk1_0)=k8_surrealn(esk1_0)|k1_funct_1(esk2_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),k8_surrealn(k2_xboole_0(esk1_0,k1_tarski(esk1_0)))),X1)=k8_surrealn(X1)|v3_ordinal1(esk5_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),esk2_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),k8_surrealn(k2_xboole_0(esk1_0,k1_tarski(esk1_0))))))|~r2_tarski(X1,k2_xboole_0(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),k1_tarski(k2_xboole_0(esk1_0,k1_tarski(esk1_0)))))|~v3_ordinal1(k2_xboole_0(esk1_0,k1_tarski(esk1_0)))|~v3_ordinal1(X1)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_75, c_0_76]), c_0_77]), c_0_43])).
cnf(c_0_81, plain, (k1_funct_1(X1,X2)=k8_surrealn(X2)|v4_ordinal1(esk6_2(X3,X1))|r2_tarski(k2_xboole_0(esk5_2(X3,X1),k1_tarski(esk5_2(X3,X1))),k2_xboole_0(X3,k1_tarski(X3)))|k9_xtuple_0(X1)!=k2_xboole_0(X3,k1_tarski(X3))|~r2_tarski(X2,X3)|~v5_ordinal1(X1)|~v1_funct_1(X1)|~v1_relat_1(X1)|~v3_ordinal1(X3)), inference(spm,[status(thm)],[c_0_78, c_0_39])).
cnf(c_0_82, plain, (k1_funct_1(X1,X2)=k8_surrealn(X2)|r2_tarski(k2_xboole_0(esk5_2(X3,X1),k1_tarski(esk5_2(X3,X1))),k9_xtuple_0(esk2_2(X3,k8_surrealn(X3))))|r2_tarski(esk6_2(X3,X1),k9_xtuple_0(esk2_2(X3,k8_surrealn(X3))))|k9_xtuple_0(X1)!=k9_xtuple_0(esk2_2(X3,k8_surrealn(X3)))|~r2_tarski(X2,X3)|~v5_ordinal1(X1)|~v1_funct_1(X1)|~v1_relat_1(X1)|~v3_ordinal1(X3)), inference(spm,[status(thm)],[c_0_79, c_0_43])).
cnf(c_0_83, negated_conjecture, (k1_funct_1(esk2_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),k8_surrealn(k2_xboole_0(esk1_0,k1_tarski(esk1_0)))),esk1_0)=k8_surrealn(esk1_0)|k1_funct_1(esk2_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),k8_surrealn(k2_xboole_0(esk1_0,k1_tarski(esk1_0)))),X1)=k8_surrealn(X1)|v3_ordinal1(esk5_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),esk2_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),k8_surrealn(k2_xboole_0(esk1_0,k1_tarski(esk1_0))))))|~r2_tarski(X1,k2_xboole_0(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),k1_tarski(k2_xboole_0(esk1_0,k1_tarski(esk1_0)))))|~v3_ordinal1(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80, c_0_39]), c_0_71])])).
cnf(c_0_84, plain, (k1_funct_1(X1,X2)=k8_surrealn(X2)|v4_ordinal1(esk6_2(X3,X1))|r2_tarski(k2_xboole_0(esk5_2(X3,X1),k1_tarski(esk5_2(X3,X1))),k9_xtuple_0(esk2_2(X3,k8_surrealn(X3))))|k9_xtuple_0(X1)!=k9_xtuple_0(esk2_2(X3,k8_surrealn(X3)))|~r2_tarski(X2,X3)|~v5_ordinal1(X1)|~v1_funct_1(X1)|~v1_relat_1(X1)|~v3_ordinal1(X3)), inference(spm,[status(thm)],[c_0_81, c_0_43])).
cnf(c_0_85, plain, (r2_tarski(esk6_2(X1,X2),k1_ordinal1(X1))|k1_funct_1(X2,X3)=k8_surrealn(X3)|k1_funct_1(X2,k1_ordinal1(esk5_2(X1,X2)))!=k4_tarski(k1_tarski(k1_funct_1(X2,esk5_2(X1,X2))),k1_xboole_0)|k9_xtuple_0(X2)!=k1_ordinal1(X1)|~v3_ordinal1(X3)|~r2_tarski(X3,k1_ordinal1(X1))|~v1_relat_1(X2)|~v1_funct_1(X2)|~v5_ordinal1(X2)|~v3_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_20])).
cnf(c_0_86, plain, (k1_funct_1(esk2_2(X2,X3),k1_ordinal1(X1))=k4_tarski(k1_tarski(k1_funct_1(esk2_2(X2,X3),X1)),k1_xboole_0)|~v3_ordinal1(X1)|~r2_tarski(k1_ordinal1(X1),k1_ordinal1(X2))|X3!=k8_surrealn(X2)|~v3_ordinal1(X2)), inference(split_conjunct,[status(thm)],[c_0_30])).
cnf(c_0_87, plain, (k1_funct_1(esk2_2(X1,k8_surrealn(X1)),X2)=k8_surrealn(X2)|r2_tarski(k2_xboole_0(esk5_2(X1,esk2_2(X1,k8_surrealn(X1))),k1_tarski(esk5_2(X1,esk2_2(X1,k8_surrealn(X1))))),k9_xtuple_0(esk2_2(X1,k8_surrealn(X1))))|r2_tarski(esk6_2(X1,esk2_2(X1,k8_surrealn(X1))),k9_xtuple_0(esk2_2(X1,k8_surrealn(X1))))|~r2_tarski(X2,X1)|~v3_ordinal1(X1)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_82]), c_0_50]), c_0_51]), c_0_52])).
cnf(c_0_88, negated_conjecture, (k1_funct_1(esk2_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),k8_surrealn(k2_xboole_0(esk1_0,k1_tarski(esk1_0)))),esk1_0)=k8_surrealn(esk1_0)|k1_funct_1(esk2_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),k8_surrealn(k2_xboole_0(esk1_0,k1_tarski(esk1_0)))),X1)=k8_surrealn(X1)|v3_ordinal1(esk5_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),esk2_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),k8_surrealn(k2_xboole_0(esk1_0,k1_tarski(esk1_0))))))|~r2_tarski(X1,k2_xboole_0(esk1_0,k1_tarski(esk1_0)))|~v3_ordinal1(k2_xboole_0(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),k1_tarski(k2_xboole_0(esk1_0,k1_tarski(esk1_0)))))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_83, c_0_28]), c_0_34])).
cnf(c_0_89, plain, (k1_funct_1(esk2_2(X1,k8_surrealn(X1)),X2)=k8_surrealn(X2)|v4_ordinal1(esk6_2(X1,esk2_2(X1,k8_surrealn(X1))))|r2_tarski(k2_xboole_0(esk5_2(X1,esk2_2(X1,k8_surrealn(X1))),k1_tarski(esk5_2(X1,esk2_2(X1,k8_surrealn(X1))))),k9_xtuple_0(esk2_2(X1,k8_surrealn(X1))))|~r2_tarski(X2,X1)|~v3_ordinal1(X1)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_84]), c_0_50]), c_0_51]), c_0_52])).
cnf(c_0_90, plain, (k1_funct_1(X2,X3)=k8_surrealn(X3)|r2_tarski(esk6_2(X1,X2),k2_xboole_0(X1,k1_tarski(X1)))|k9_xtuple_0(X2)!=k2_xboole_0(X1,k1_tarski(X1))|k1_funct_1(X2,k2_xboole_0(esk5_2(X1,X2),k1_tarski(esk5_2(X1,X2))))!=k4_tarski(k1_tarski(k1_funct_1(X2,esk5_2(X1,X2))),k1_xboole_0)|~v3_ordinal1(X3)|~v3_ordinal1(X1)|~v1_relat_1(X2)|~v1_funct_1(X2)|~v5_ordinal1(X2)|~r2_tarski(X3,k2_xboole_0(X1,k1_tarski(X1)))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_85, c_0_14]), c_0_14]), c_0_14]), c_0_14])).
cnf(c_0_91, plain, (k1_funct_1(esk2_2(X2,X3),k2_xboole_0(X1,k1_tarski(X1)))=k4_tarski(k1_tarski(k1_funct_1(esk2_2(X2,X3),X1)),k1_xboole_0)|X3!=k8_surrealn(X2)|~v3_ordinal1(X2)|~v3_ordinal1(X1)|~r2_tarski(k2_xboole_0(X1,k1_tarski(X1)),k2_xboole_0(X2,k1_tarski(X2)))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_86, c_0_14]), c_0_14]), c_0_14])).
cnf(c_0_92, plain, (k1_funct_1(esk2_2(k2_xboole_0(X1,k1_tarski(X1)),k8_surrealn(k2_xboole_0(X1,k1_tarski(X1)))),X1)=k8_surrealn(X1)|r2_tarski(k2_xboole_0(esk5_2(k2_xboole_0(X1,k1_tarski(X1)),esk2_2(k2_xboole_0(X1,k1_tarski(X1)),k8_surrealn(k2_xboole_0(X1,k1_tarski(X1))))),k1_tarski(esk5_2(k2_xboole_0(X1,k1_tarski(X1)),esk2_2(k2_xboole_0(X1,k1_tarski(X1)),k8_surrealn(k2_xboole_0(X1,k1_tarski(X1))))))),k9_xtuple_0(esk2_2(k2_xboole_0(X1,k1_tarski(X1)),k8_surrealn(k2_xboole_0(X1,k1_tarski(X1))))))|r2_tarski(esk6_2(k2_xboole_0(X1,k1_tarski(X1)),esk2_2(k2_xboole_0(X1,k1_tarski(X1)),k8_surrealn(k2_xboole_0(X1,k1_tarski(X1))))),k9_xtuple_0(esk2_2(k2_xboole_0(X1,k1_tarski(X1)),k8_surrealn(k2_xboole_0(X1,k1_tarski(X1))))))|~v3_ordinal1(k2_xboole_0(X1,k1_tarski(X1)))), inference(spm,[status(thm)],[c_0_87, c_0_18])).
cnf(c_0_93, negated_conjecture, (k1_funct_1(esk2_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),k8_surrealn(k2_xboole_0(esk1_0,k1_tarski(esk1_0)))),esk1_0)=k8_surrealn(esk1_0)|k1_funct_1(esk2_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),k8_surrealn(k2_xboole_0(esk1_0,k1_tarski(esk1_0)))),X1)=k8_surrealn(X1)|v3_ordinal1(esk5_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),esk2_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),k8_surrealn(k2_xboole_0(esk1_0,k1_tarski(esk1_0))))))|~r2_tarski(X1,k2_xboole_0(esk1_0,k1_tarski(esk1_0)))|~v3_ordinal1(k2_xboole_0(esk1_0,k1_tarski(esk1_0)))), inference(spm,[status(thm)],[c_0_88, c_0_39])).
cnf(c_0_94, plain, (v4_ordinal1(esk6_2(X1,X2))|k1_funct_1(X2,X3)=k8_surrealn(X3)|k1_funct_1(X2,k1_ordinal1(esk5_2(X1,X2)))!=k4_tarski(k1_tarski(k1_funct_1(X2,esk5_2(X1,X2))),k1_xboole_0)|k9_xtuple_0(X2)!=k1_ordinal1(X1)|~v3_ordinal1(X3)|~r2_tarski(X3,k1_ordinal1(X1))|~v1_relat_1(X2)|~v1_funct_1(X2)|~v5_ordinal1(X2)|~v3_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_20])).
cnf(c_0_95, plain, (k1_funct_1(esk2_2(k2_xboole_0(X1,k1_tarski(X1)),k8_surrealn(k2_xboole_0(X1,k1_tarski(X1)))),X1)=k8_surrealn(X1)|v4_ordinal1(esk6_2(k2_xboole_0(X1,k1_tarski(X1)),esk2_2(k2_xboole_0(X1,k1_tarski(X1)),k8_surrealn(k2_xboole_0(X1,k1_tarski(X1))))))|r2_tarski(k2_xboole_0(esk5_2(k2_xboole_0(X1,k1_tarski(X1)),esk2_2(k2_xboole_0(X1,k1_tarski(X1)),k8_surrealn(k2_xboole_0(X1,k1_tarski(X1))))),k1_tarski(esk5_2(k2_xboole_0(X1,k1_tarski(X1)),esk2_2(k2_xboole_0(X1,k1_tarski(X1)),k8_surrealn(k2_xboole_0(X1,k1_tarski(X1))))))),k9_xtuple_0(esk2_2(k2_xboole_0(X1,k1_tarski(X1)),k8_surrealn(k2_xboole_0(X1,k1_tarski(X1))))))|~v3_ordinal1(k2_xboole_0(X1,k1_tarski(X1)))), inference(spm,[status(thm)],[c_0_89, c_0_18])).
cnf(c_0_96, plain, (k1_funct_1(X1,X2)=k8_surrealn(X2)|r2_tarski(esk6_2(X3,X1),k2_xboole_0(X3,k1_tarski(X3)))|k1_funct_1(X1,k2_xboole_0(esk5_2(X3,X1),k1_tarski(esk5_2(X3,X1))))!=k4_tarski(k1_tarski(k1_funct_1(X1,esk5_2(X3,X1))),k1_xboole_0)|k9_xtuple_0(X1)!=k2_xboole_0(X3,k1_tarski(X3))|~r2_tarski(X2,X3)|~v5_ordinal1(X1)|~v1_funct_1(X1)|~v1_relat_1(X1)|~v3_ordinal1(k2_xboole_0(X3,k1_tarski(X3)))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_90, c_0_28]), c_0_33]), c_0_34])).
cnf(c_0_97, plain, (k1_funct_1(esk2_2(X1,k8_surrealn(X1)),k2_xboole_0(X2,k1_tarski(X2)))=k4_tarski(k1_tarski(k1_funct_1(esk2_2(X1,k8_surrealn(X1)),X2)),k1_xboole_0)|~r2_tarski(k2_xboole_0(X2,k1_tarski(X2)),k2_xboole_0(X1,k1_tarski(X1)))|~v3_ordinal1(X1)|~v3_ordinal1(X2)), inference(er,[status(thm)],[c_0_91])).
cnf(c_0_98, plain, (k1_funct_1(esk2_2(k2_xboole_0(X1,k1_tarski(X1)),k8_surrealn(k2_xboole_0(X1,k1_tarski(X1)))),X1)=k8_surrealn(X1)|r2_tarski(k2_xboole_0(esk5_2(k2_xboole_0(X1,k1_tarski(X1)),esk2_2(k2_xboole_0(X1,k1_tarski(X1)),k8_surrealn(k2_xboole_0(X1,k1_tarski(X1))))),k1_tarski(esk5_2(k2_xboole_0(X1,k1_tarski(X1)),esk2_2(k2_xboole_0(X1,k1_tarski(X1)),k8_surrealn(k2_xboole_0(X1,k1_tarski(X1))))))),k9_xtuple_0(esk2_2(k2_xboole_0(X1,k1_tarski(X1)),k8_surrealn(k2_xboole_0(X1,k1_tarski(X1))))))|r2_tarski(esk6_2(k2_xboole_0(X1,k1_tarski(X1)),esk2_2(k2_xboole_0(X1,k1_tarski(X1)),k8_surrealn(k2_xboole_0(X1,k1_tarski(X1))))),k9_xtuple_0(esk2_2(k2_xboole_0(X1,k1_tarski(X1)),k8_surrealn(k2_xboole_0(X1,k1_tarski(X1))))))|~v3_ordinal1(X1)), inference(spm,[status(thm)],[c_0_92, c_0_39])).
cnf(c_0_99, negated_conjecture, (k1_funct_1(esk2_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),k8_surrealn(k2_xboole_0(esk1_0,k1_tarski(esk1_0)))),esk1_0)=k8_surrealn(esk1_0)|k1_funct_1(esk2_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),k8_surrealn(k2_xboole_0(esk1_0,k1_tarski(esk1_0)))),X1)=k8_surrealn(X1)|v3_ordinal1(esk5_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),esk2_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),k8_surrealn(k2_xboole_0(esk1_0,k1_tarski(esk1_0))))))|~r2_tarski(X1,k2_xboole_0(esk1_0,k1_tarski(esk1_0)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93, c_0_39]), c_0_71])])).
cnf(c_0_100, plain, (k1_funct_1(X2,X3)=k8_surrealn(X3)|v4_ordinal1(esk6_2(X1,X2))|k9_xtuple_0(X2)!=k2_xboole_0(X1,k1_tarski(X1))|k1_funct_1(X2,k2_xboole_0(esk5_2(X1,X2),k1_tarski(esk5_2(X1,X2))))!=k4_tarski(k1_tarski(k1_funct_1(X2,esk5_2(X1,X2))),k1_xboole_0)|~v3_ordinal1(X3)|~v3_ordinal1(X1)|~v1_relat_1(X2)|~v1_funct_1(X2)|~v5_ordinal1(X2)|~r2_tarski(X3,k2_xboole_0(X1,k1_tarski(X1)))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_94, c_0_14]), c_0_14]), c_0_14])).
cnf(c_0_101, plain, (v3_ordinal1(k9_xtuple_0(esk2_2(X1,k8_surrealn(X1))))|~v3_ordinal1(X1)), inference(spm,[status(thm)],[c_0_39, c_0_43])).
cnf(c_0_102, plain, (k1_funct_1(esk2_2(k2_xboole_0(X1,k1_tarski(X1)),k8_surrealn(k2_xboole_0(X1,k1_tarski(X1)))),X1)=k8_surrealn(X1)|v4_ordinal1(esk6_2(k2_xboole_0(X1,k1_tarski(X1)),esk2_2(k2_xboole_0(X1,k1_tarski(X1)),k8_surrealn(k2_xboole_0(X1,k1_tarski(X1))))))|r2_tarski(k2_xboole_0(esk5_2(k2_xboole_0(X1,k1_tarski(X1)),esk2_2(k2_xboole_0(X1,k1_tarski(X1)),k8_surrealn(k2_xboole_0(X1,k1_tarski(X1))))),k1_tarski(esk5_2(k2_xboole_0(X1,k1_tarski(X1)),esk2_2(k2_xboole_0(X1,k1_tarski(X1)),k8_surrealn(k2_xboole_0(X1,k1_tarski(X1))))))),k9_xtuple_0(esk2_2(k2_xboole_0(X1,k1_tarski(X1)),k8_surrealn(k2_xboole_0(X1,k1_tarski(X1))))))|~v3_ordinal1(X1)), inference(spm,[status(thm)],[c_0_95, c_0_39])).
cnf(c_0_103, plain, (k1_funct_1(X1,X2)=k8_surrealn(X2)|r2_tarski(esk6_2(X3,X1),k2_xboole_0(X3,k1_tarski(X3)))|k1_funct_1(X1,k2_xboole_0(esk5_2(X3,X1),k1_tarski(esk5_2(X3,X1))))!=k4_tarski(k1_tarski(k1_funct_1(X1,esk5_2(X3,X1))),k1_xboole_0)|k9_xtuple_0(X1)!=k2_xboole_0(X3,k1_tarski(X3))|~r2_tarski(X2,X3)|~v5_ordinal1(X1)|~v1_funct_1(X1)|~v1_relat_1(X1)|~v3_ordinal1(X3)), inference(spm,[status(thm)],[c_0_96, c_0_39])).
cnf(c_0_104, plain, (k1_funct_1(esk2_2(X1,k8_surrealn(X1)),k2_xboole_0(X2,k1_tarski(X2)))=k4_tarski(k1_tarski(k1_funct_1(esk2_2(X1,k8_surrealn(X1)),X2)),k1_xboole_0)|~r2_tarski(k2_xboole_0(X2,k1_tarski(X2)),k9_xtuple_0(esk2_2(X1,k8_surrealn(X1))))|~v3_ordinal1(X1)|~v3_ordinal1(X2)), inference(spm,[status(thm)],[c_0_97, c_0_43])).
cnf(c_0_105, negated_conjecture, (k1_funct_1(esk2_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),k8_surrealn(k2_xboole_0(esk1_0,k1_tarski(esk1_0)))),esk1_0)=k8_surrealn(esk1_0)|r2_tarski(k2_xboole_0(esk5_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),esk2_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),k8_surrealn(k2_xboole_0(esk1_0,k1_tarski(esk1_0))))),k1_tarski(esk5_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),esk2_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),k8_surrealn(k2_xboole_0(esk1_0,k1_tarski(esk1_0))))))),k9_xtuple_0(esk2_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),k8_surrealn(k2_xboole_0(esk1_0,k1_tarski(esk1_0))))))|r2_tarski(esk6_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),esk2_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),k8_surrealn(k2_xboole_0(esk1_0,k1_tarski(esk1_0))))),k9_xtuple_0(esk2_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),k8_surrealn(k2_xboole_0(esk1_0,k1_tarski(esk1_0))))))), inference(spm,[status(thm)],[c_0_98, c_0_71])).
cnf(c_0_106, negated_conjecture, (k1_funct_1(esk2_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),k8_surrealn(k2_xboole_0(esk1_0,k1_tarski(esk1_0)))),esk1_0)=k8_surrealn(esk1_0)|v3_ordinal1(esk5_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),esk2_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),k8_surrealn(k2_xboole_0(esk1_0,k1_tarski(esk1_0))))))), inference(spm,[status(thm)],[c_0_99, c_0_18])).
cnf(c_0_107, plain, (k1_funct_1(X1,X2)=k8_surrealn(X2)|v4_ordinal1(esk6_2(X3,X1))|k1_funct_1(X1,k2_xboole_0(esk5_2(X3,X1),k1_tarski(esk5_2(X3,X1))))!=k4_tarski(k1_tarski(k1_funct_1(X1,esk5_2(X3,X1))),k1_xboole_0)|k9_xtuple_0(X1)!=k9_xtuple_0(esk2_2(X3,k8_surrealn(X3)))|~r2_tarski(X2,k9_xtuple_0(esk2_2(X3,k8_surrealn(X3))))|~v5_ordinal1(X1)|~v1_funct_1(X1)|~v1_relat_1(X1)|~v3_ordinal1(X2)|~v3_ordinal1(X3)), inference(spm,[status(thm)],[c_0_100, c_0_43])).
cnf(c_0_108, plain, (r2_tarski(X1,k9_xtuple_0(esk2_2(X2,k8_surrealn(X2))))|~r2_tarski(X1,X2)|~v3_ordinal1(X2)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_28, c_0_43]), c_0_101])).
cnf(c_0_109, negated_conjecture, (k1_funct_1(esk2_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),k8_surrealn(k2_xboole_0(esk1_0,k1_tarski(esk1_0)))),esk1_0)=k8_surrealn(esk1_0)|v4_ordinal1(esk6_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),esk2_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),k8_surrealn(k2_xboole_0(esk1_0,k1_tarski(esk1_0))))))|r2_tarski(k2_xboole_0(esk5_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),esk2_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),k8_surrealn(k2_xboole_0(esk1_0,k1_tarski(esk1_0))))),k1_tarski(esk5_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),esk2_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),k8_surrealn(k2_xboole_0(esk1_0,k1_tarski(esk1_0))))))),k9_xtuple_0(esk2_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),k8_surrealn(k2_xboole_0(esk1_0,k1_tarski(esk1_0))))))), inference(spm,[status(thm)],[c_0_102, c_0_71])).
cnf(c_0_110, plain, (k1_funct_1(X1,X2)=k8_surrealn(X2)|r2_tarski(esk6_2(X3,X1),k9_xtuple_0(esk2_2(X3,k8_surrealn(X3))))|k1_funct_1(X1,k2_xboole_0(esk5_2(X3,X1),k1_tarski(esk5_2(X3,X1))))!=k4_tarski(k1_tarski(k1_funct_1(X1,esk5_2(X3,X1))),k1_xboole_0)|k9_xtuple_0(X1)!=k9_xtuple_0(esk2_2(X3,k8_surrealn(X3)))|~r2_tarski(X2,X3)|~v5_ordinal1(X1)|~v1_funct_1(X1)|~v1_relat_1(X1)|~v3_ordinal1(X3)), inference(spm,[status(thm)],[c_0_103, c_0_43])).
cnf(c_0_111, negated_conjecture, (k1_funct_1(esk2_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),k8_surrealn(k2_xboole_0(esk1_0,k1_tarski(esk1_0)))),k2_xboole_0(esk5_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),esk2_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),k8_surrealn(k2_xboole_0(esk1_0,k1_tarski(esk1_0))))),k1_tarski(esk5_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),esk2_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),k8_surrealn(k2_xboole_0(esk1_0,k1_tarski(esk1_0))))))))=k4_tarski(k1_tarski(k1_funct_1(esk2_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),k8_surrealn(k2_xboole_0(esk1_0,k1_tarski(esk1_0)))),esk5_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),esk2_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),k8_surrealn(k2_xboole_0(esk1_0,k1_tarski(esk1_0))))))),k1_xboole_0)|k1_funct_1(esk2_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),k8_surrealn(k2_xboole_0(esk1_0,k1_tarski(esk1_0)))),esk1_0)=k8_surrealn(esk1_0)|r2_tarski(esk6_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),esk2_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),k8_surrealn(k2_xboole_0(esk1_0,k1_tarski(esk1_0))))),k9_xtuple_0(esk2_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),k8_surrealn(k2_xboole_0(esk1_0,k1_tarski(esk1_0))))))|~v3_ordinal1(k2_xboole_0(esk1_0,k1_tarski(esk1_0)))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_104, c_0_105]), c_0_106])).
cnf(c_0_112, plain, (k1_funct_1(X1,X2)=k8_surrealn(X2)|v4_ordinal1(esk6_2(X3,X1))|k1_funct_1(X1,k2_xboole_0(esk5_2(X3,X1),k1_tarski(esk5_2(X3,X1))))!=k4_tarski(k1_tarski(k1_funct_1(X1,esk5_2(X3,X1))),k1_xboole_0)|k9_xtuple_0(X1)!=k9_xtuple_0(esk2_2(X3,k8_surrealn(X3)))|~r2_tarski(X2,X3)|~v5_ordinal1(X1)|~v1_funct_1(X1)|~v1_relat_1(X1)|~v3_ordinal1(X3)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_107, c_0_108]), c_0_27])).
cnf(c_0_113, negated_conjecture, (k1_funct_1(esk2_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),k8_surrealn(k2_xboole_0(esk1_0,k1_tarski(esk1_0)))),k2_xboole_0(esk5_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),esk2_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),k8_surrealn(k2_xboole_0(esk1_0,k1_tarski(esk1_0))))),k1_tarski(esk5_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),esk2_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),k8_surrealn(k2_xboole_0(esk1_0,k1_tarski(esk1_0))))))))=k4_tarski(k1_tarski(k1_funct_1(esk2_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),k8_surrealn(k2_xboole_0(esk1_0,k1_tarski(esk1_0)))),esk5_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),esk2_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),k8_surrealn(k2_xboole_0(esk1_0,k1_tarski(esk1_0))))))),k1_xboole_0)|k1_funct_1(esk2_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),k8_surrealn(k2_xboole_0(esk1_0,k1_tarski(esk1_0)))),esk1_0)=k8_surrealn(esk1_0)|v4_ordinal1(esk6_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),esk2_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),k8_surrealn(k2_xboole_0(esk1_0,k1_tarski(esk1_0))))))|~v3_ordinal1(k2_xboole_0(esk1_0,k1_tarski(esk1_0)))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_104, c_0_109]), c_0_106])).
cnf(c_0_114, plain, (r2_tarski(k1_ordinal1(esk5_2(X2,X1)),k1_ordinal1(X2))|k1_funct_1(X1,X3)=k8_surrealn(X3)|k1_funct_1(X1,esk6_2(X2,X1))!=k4_tarski(k2_relset_1(k10_xtuple_0(X1),k5_relat_1(X1,esk6_2(X2,X1))),k1_xboole_0)|k9_xtuple_0(X1)!=k1_ordinal1(X2)|~v3_ordinal1(X3)|~r2_tarski(X3,k1_ordinal1(X2))|~v1_relat_1(X1)|~v1_funct_1(X1)|~v5_ordinal1(X1)|~v3_ordinal1(X2)), inference(split_conjunct,[status(thm)],[c_0_20])).
cnf(c_0_115, plain, (v3_ordinal1(esk6_2(X1,X2))|r2_tarski(k1_ordinal1(esk5_2(X1,X2)),k1_ordinal1(X1))|k1_funct_1(X2,X3)=k8_surrealn(X3)|k9_xtuple_0(X2)!=k1_ordinal1(X1)|~v3_ordinal1(X3)|~r2_tarski(X3,k1_ordinal1(X1))|~v1_relat_1(X2)|~v1_funct_1(X2)|~v5_ordinal1(X2)|~v3_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_20])).
cnf(c_0_116, plain, (k1_funct_1(esk2_2(X1,k8_surrealn(X1)),X2)=k8_surrealn(X2)|r2_tarski(esk6_2(X1,esk2_2(X1,k8_surrealn(X1))),k9_xtuple_0(esk2_2(X1,k8_surrealn(X1))))|k1_funct_1(esk2_2(X1,k8_surrealn(X1)),k2_xboole_0(esk5_2(X1,esk2_2(X1,k8_surrealn(X1))),k1_tarski(esk5_2(X1,esk2_2(X1,k8_surrealn(X1))))))!=k4_tarski(k1_tarski(k1_funct_1(esk2_2(X1,k8_surrealn(X1)),esk5_2(X1,esk2_2(X1,k8_surrealn(X1))))),k1_xboole_0)|~r2_tarski(X2,X1)|~v3_ordinal1(X1)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_110]), c_0_50]), c_0_51]), c_0_52])).
cnf(c_0_117, negated_conjecture, (k1_funct_1(esk2_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),k8_surrealn(k2_xboole_0(esk1_0,k1_tarski(esk1_0)))),k2_xboole_0(esk5_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),esk2_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),k8_surrealn(k2_xboole_0(esk1_0,k1_tarski(esk1_0))))),k1_tarski(esk5_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),esk2_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),k8_surrealn(k2_xboole_0(esk1_0,k1_tarski(esk1_0))))))))=k4_tarski(k1_tarski(k1_funct_1(esk2_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),k8_surrealn(k2_xboole_0(esk1_0,k1_tarski(esk1_0)))),esk5_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),esk2_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),k8_surrealn(k2_xboole_0(esk1_0,k1_tarski(esk1_0))))))),k1_xboole_0)|k1_funct_1(esk2_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),k8_surrealn(k2_xboole_0(esk1_0,k1_tarski(esk1_0)))),esk1_0)=k8_surrealn(esk1_0)|r2_tarski(esk6_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),esk2_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),k8_surrealn(k2_xboole_0(esk1_0,k1_tarski(esk1_0))))),k9_xtuple_0(esk2_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),k8_surrealn(k2_xboole_0(esk1_0,k1_tarski(esk1_0))))))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111, c_0_39]), c_0_71])])).
cnf(c_0_118, plain, (k1_funct_1(esk2_2(X1,k8_surrealn(X1)),X2)=k8_surrealn(X2)|v4_ordinal1(esk6_2(X1,esk2_2(X1,k8_surrealn(X1))))|k1_funct_1(esk2_2(X1,k8_surrealn(X1)),k2_xboole_0(esk5_2(X1,esk2_2(X1,k8_surrealn(X1))),k1_tarski(esk5_2(X1,esk2_2(X1,k8_surrealn(X1))))))!=k4_tarski(k1_tarski(k1_funct_1(esk2_2(X1,k8_surrealn(X1)),esk5_2(X1,esk2_2(X1,k8_surrealn(X1))))),k1_xboole_0)|~r2_tarski(X2,X1)|~v3_ordinal1(X1)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_112]), c_0_50]), c_0_51]), c_0_52])).
cnf(c_0_119, negated_conjecture, (k1_funct_1(esk2_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),k8_surrealn(k2_xboole_0(esk1_0,k1_tarski(esk1_0)))),k2_xboole_0(esk5_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),esk2_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),k8_surrealn(k2_xboole_0(esk1_0,k1_tarski(esk1_0))))),k1_tarski(esk5_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),esk2_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),k8_surrealn(k2_xboole_0(esk1_0,k1_tarski(esk1_0))))))))=k4_tarski(k1_tarski(k1_funct_1(esk2_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),k8_surrealn(k2_xboole_0(esk1_0,k1_tarski(esk1_0)))),esk5_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),esk2_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),k8_surrealn(k2_xboole_0(esk1_0,k1_tarski(esk1_0))))))),k1_xboole_0)|k1_funct_1(esk2_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),k8_surrealn(k2_xboole_0(esk1_0,k1_tarski(esk1_0)))),esk1_0)=k8_surrealn(esk1_0)|v4_ordinal1(esk6_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),esk2_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),k8_surrealn(k2_xboole_0(esk1_0,k1_tarski(esk1_0))))))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113, c_0_39]), c_0_71])])).
cnf(c_0_120, plain, (k1_funct_1(X1,X3)=k8_surrealn(X3)|r2_tarski(k2_xboole_0(esk5_2(X2,X1),k1_tarski(esk5_2(X2,X1))),k2_xboole_0(X2,k1_tarski(X2)))|k9_xtuple_0(X1)!=k2_xboole_0(X2,k1_tarski(X2))|k1_funct_1(X1,esk6_2(X2,X1))!=k4_tarski(k2_relset_1(k10_xtuple_0(X1),k5_relat_1(X1,esk6_2(X2,X1))),k1_xboole_0)|~v3_ordinal1(X3)|~v3_ordinal1(X2)|~v1_relat_1(X1)|~v1_funct_1(X1)|~v5_ordinal1(X1)|~r2_tarski(X3,k2_xboole_0(X2,k1_tarski(X2)))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_114, c_0_14]), c_0_14]), c_0_14]), c_0_14])).
cnf(c_0_121, plain, (k1_funct_1(X2,X3)=k8_surrealn(X3)|v3_ordinal1(esk6_2(X1,X2))|r2_tarski(k2_xboole_0(esk5_2(X1,X2),k1_tarski(esk5_2(X1,X2))),k2_xboole_0(X1,k1_tarski(X1)))|k9_xtuple_0(X2)!=k2_xboole_0(X1,k1_tarski(X1))|~v3_ordinal1(X3)|~v3_ordinal1(X1)|~v1_relat_1(X2)|~v1_funct_1(X2)|~v5_ordinal1(X2)|~r2_tarski(X3,k2_xboole_0(X1,k1_tarski(X1)))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_115, c_0_14]), c_0_14]), c_0_14]), c_0_14])).
cnf(c_0_122, negated_conjecture, (k1_funct_1(esk2_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),k8_surrealn(k2_xboole_0(esk1_0,k1_tarski(esk1_0)))),esk1_0)=k8_surrealn(esk1_0)|k1_funct_1(esk2_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),k8_surrealn(k2_xboole_0(esk1_0,k1_tarski(esk1_0)))),X1)=k8_surrealn(X1)|r2_tarski(esk6_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),esk2_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),k8_surrealn(k2_xboole_0(esk1_0,k1_tarski(esk1_0))))),k9_xtuple_0(esk2_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),k8_surrealn(k2_xboole_0(esk1_0,k1_tarski(esk1_0))))))|~r2_tarski(X1,k2_xboole_0(esk1_0,k1_tarski(esk1_0)))|~v3_ordinal1(k2_xboole_0(esk1_0,k1_tarski(esk1_0)))), inference(spm,[status(thm)],[c_0_116, c_0_117])).
cnf(c_0_123, negated_conjecture, (k1_funct_1(esk2_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),k8_surrealn(k2_xboole_0(esk1_0,k1_tarski(esk1_0)))),esk1_0)=k8_surrealn(esk1_0)|k1_funct_1(esk2_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),k8_surrealn(k2_xboole_0(esk1_0,k1_tarski(esk1_0)))),X1)=k8_surrealn(X1)|v4_ordinal1(esk6_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),esk2_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),k8_surrealn(k2_xboole_0(esk1_0,k1_tarski(esk1_0))))))|~r2_tarski(X1,k2_xboole_0(esk1_0,k1_tarski(esk1_0)))|~v3_ordinal1(k2_xboole_0(esk1_0,k1_tarski(esk1_0)))), inference(spm,[status(thm)],[c_0_118, c_0_119])).
cnf(c_0_124, plain, (k1_funct_1(esk2_2(X1,k8_surrealn(X1)),X2)=k8_surrealn(X2)|r2_tarski(k2_xboole_0(esk5_2(X3,esk2_2(X1,k8_surrealn(X1))),k1_tarski(esk5_2(X3,esk2_2(X1,k8_surrealn(X1))))),k2_xboole_0(X3,k1_tarski(X3)))|k9_xtuple_0(esk2_2(X1,k8_surrealn(X1)))!=k2_xboole_0(X3,k1_tarski(X3))|~v4_ordinal1(esk6_2(X3,esk2_2(X1,k8_surrealn(X1))))|~r2_tarski(esk6_2(X3,esk2_2(X1,k8_surrealn(X1))),k2_xboole_0(X1,k1_tarski(X1)))|~r2_tarski(X2,k2_xboole_0(X3,k1_tarski(X3)))|~v3_ordinal1(X2)|~v3_ordinal1(X3)|~v3_ordinal1(X1)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_120, c_0_62]), c_0_121]), c_0_50]), c_0_51]), c_0_52])).
cnf(c_0_125, negated_conjecture, (k1_funct_1(esk2_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),k8_surrealn(k2_xboole_0(esk1_0,k1_tarski(esk1_0)))),esk1_0)=k8_surrealn(esk1_0)|k1_funct_1(esk2_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),k8_surrealn(k2_xboole_0(esk1_0,k1_tarski(esk1_0)))),X1)=k8_surrealn(X1)|r2_tarski(esk6_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),esk2_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),k8_surrealn(k2_xboole_0(esk1_0,k1_tarski(esk1_0))))),k9_xtuple_0(esk2_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),k8_surrealn(k2_xboole_0(esk1_0,k1_tarski(esk1_0))))))|~r2_tarski(X1,k2_xboole_0(esk1_0,k1_tarski(esk1_0)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122, c_0_39]), c_0_71])])).
cnf(c_0_126, negated_conjecture, (k1_funct_1(esk2_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),k8_surrealn(k2_xboole_0(esk1_0,k1_tarski(esk1_0)))),esk1_0)=k8_surrealn(esk1_0)|k1_funct_1(esk2_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),k8_surrealn(k2_xboole_0(esk1_0,k1_tarski(esk1_0)))),X1)=k8_surrealn(X1)|v4_ordinal1(esk6_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),esk2_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),k8_surrealn(k2_xboole_0(esk1_0,k1_tarski(esk1_0))))))|~r2_tarski(X1,k2_xboole_0(esk1_0,k1_tarski(esk1_0)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123, c_0_39]), c_0_71])])).
cnf(c_0_127, plain, (k1_funct_1(esk2_2(X1,k8_surrealn(X1)),X2)=k8_surrealn(X2)|r2_tarski(k2_xboole_0(esk5_2(X3,esk2_2(X1,k8_surrealn(X1))),k1_tarski(esk5_2(X3,esk2_2(X1,k8_surrealn(X1))))),k2_xboole_0(X3,k1_tarski(X3)))|k9_xtuple_0(esk2_2(X1,k8_surrealn(X1)))!=k2_xboole_0(X3,k1_tarski(X3))|~v4_ordinal1(esk6_2(X3,esk2_2(X1,k8_surrealn(X1))))|~r2_tarski(esk6_2(X3,esk2_2(X1,k8_surrealn(X1))),k9_xtuple_0(esk2_2(X1,k8_surrealn(X1))))|~r2_tarski(X2,k2_xboole_0(X3,k1_tarski(X3)))|~v3_ordinal1(X2)|~v3_ordinal1(X3)|~v3_ordinal1(X1)), inference(spm,[status(thm)],[c_0_124, c_0_43])).
cnf(c_0_128, negated_conjecture, (k1_funct_1(esk2_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),k8_surrealn(k2_xboole_0(esk1_0,k1_tarski(esk1_0)))),esk1_0)=k8_surrealn(esk1_0)|r2_tarski(esk6_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),esk2_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),k8_surrealn(k2_xboole_0(esk1_0,k1_tarski(esk1_0))))),k9_xtuple_0(esk2_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),k8_surrealn(k2_xboole_0(esk1_0,k1_tarski(esk1_0))))))), inference(spm,[status(thm)],[c_0_125, c_0_18])).
cnf(c_0_129, negated_conjecture, (k1_funct_1(esk2_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),k8_surrealn(k2_xboole_0(esk1_0,k1_tarski(esk1_0)))),esk1_0)=k8_surrealn(esk1_0)|v4_ordinal1(esk6_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),esk2_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),k8_surrealn(k2_xboole_0(esk1_0,k1_tarski(esk1_0))))))), inference(spm,[status(thm)],[c_0_126, c_0_18])).
cnf(c_0_130, negated_conjecture, (k1_funct_1(esk2_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),k8_surrealn(k2_xboole_0(esk1_0,k1_tarski(esk1_0)))),esk1_0)=k8_surrealn(esk1_0)|k1_funct_1(esk2_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),k8_surrealn(k2_xboole_0(esk1_0,k1_tarski(esk1_0)))),X1)=k8_surrealn(X1)|r2_tarski(k2_xboole_0(esk5_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),esk2_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),k8_surrealn(k2_xboole_0(esk1_0,k1_tarski(esk1_0))))),k1_tarski(esk5_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),esk2_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),k8_surrealn(k2_xboole_0(esk1_0,k1_tarski(esk1_0))))))),k2_xboole_0(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),k1_tarski(k2_xboole_0(esk1_0,k1_tarski(esk1_0)))))|~r2_tarski(X1,k2_xboole_0(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),k1_tarski(k2_xboole_0(esk1_0,k1_tarski(esk1_0)))))|~v3_ordinal1(k2_xboole_0(esk1_0,k1_tarski(esk1_0)))|~v3_ordinal1(X1)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_127, c_0_128]), c_0_129]), c_0_43])).
cnf(c_0_131, negated_conjecture, (k1_funct_1(esk2_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),k8_surrealn(k2_xboole_0(esk1_0,k1_tarski(esk1_0)))),esk1_0)=k8_surrealn(esk1_0)|k1_funct_1(esk2_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),k8_surrealn(k2_xboole_0(esk1_0,k1_tarski(esk1_0)))),X1)=k8_surrealn(X1)|r2_tarski(k2_xboole_0(esk5_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),esk2_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),k8_surrealn(k2_xboole_0(esk1_0,k1_tarski(esk1_0))))),k1_tarski(esk5_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),esk2_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),k8_surrealn(k2_xboole_0(esk1_0,k1_tarski(esk1_0))))))),k2_xboole_0(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),k1_tarski(k2_xboole_0(esk1_0,k1_tarski(esk1_0)))))|~r2_tarski(X1,k2_xboole_0(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),k1_tarski(k2_xboole_0(esk1_0,k1_tarski(esk1_0)))))|~v3_ordinal1(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_130, c_0_39]), c_0_71])])).
cnf(c_0_132, negated_conjecture, (k1_funct_1(esk2_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),k8_surrealn(k2_xboole_0(esk1_0,k1_tarski(esk1_0)))),esk1_0)=k8_surrealn(esk1_0)|k1_funct_1(esk2_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),k8_surrealn(k2_xboole_0(esk1_0,k1_tarski(esk1_0)))),X1)=k8_surrealn(X1)|r2_tarski(k2_xboole_0(esk5_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),esk2_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),k8_surrealn(k2_xboole_0(esk1_0,k1_tarski(esk1_0))))),k1_tarski(esk5_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),esk2_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),k8_surrealn(k2_xboole_0(esk1_0,k1_tarski(esk1_0))))))),k2_xboole_0(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),k1_tarski(k2_xboole_0(esk1_0,k1_tarski(esk1_0)))))|~r2_tarski(X1,k2_xboole_0(esk1_0,k1_tarski(esk1_0)))|~v3_ordinal1(k2_xboole_0(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),k1_tarski(k2_xboole_0(esk1_0,k1_tarski(esk1_0)))))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_131, c_0_28]), c_0_34])).
cnf(c_0_133, negated_conjecture, (k1_funct_1(esk2_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),k8_surrealn(k2_xboole_0(esk1_0,k1_tarski(esk1_0)))),esk1_0)=k8_surrealn(esk1_0)|k1_funct_1(esk2_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),k8_surrealn(k2_xboole_0(esk1_0,k1_tarski(esk1_0)))),X1)=k8_surrealn(X1)|r2_tarski(k2_xboole_0(esk5_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),esk2_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),k8_surrealn(k2_xboole_0(esk1_0,k1_tarski(esk1_0))))),k1_tarski(esk5_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),esk2_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),k8_surrealn(k2_xboole_0(esk1_0,k1_tarski(esk1_0))))))),k2_xboole_0(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),k1_tarski(k2_xboole_0(esk1_0,k1_tarski(esk1_0)))))|~r2_tarski(X1,k2_xboole_0(esk1_0,k1_tarski(esk1_0)))|~v3_ordinal1(k2_xboole_0(esk1_0,k1_tarski(esk1_0)))), inference(spm,[status(thm)],[c_0_132, c_0_39])).
cnf(c_0_134, plain, (k1_funct_1(X1,X3)=k8_surrealn(X3)|k1_funct_1(X1,esk6_2(X2,X1))!=k4_tarski(k2_relset_1(k10_xtuple_0(X1),k5_relat_1(X1,esk6_2(X2,X1))),k1_xboole_0)|k1_funct_1(X1,k1_ordinal1(esk5_2(X2,X1)))!=k4_tarski(k1_tarski(k1_funct_1(X1,esk5_2(X2,X1))),k1_xboole_0)|k9_xtuple_0(X1)!=k1_ordinal1(X2)|~v3_ordinal1(X3)|~r2_tarski(X3,k1_ordinal1(X2))|~v1_relat_1(X1)|~v1_funct_1(X1)|~v5_ordinal1(X1)|~v3_ordinal1(X2)), inference(split_conjunct,[status(thm)],[c_0_20])).
cnf(c_0_135, plain, (v3_ordinal1(esk6_2(X1,X2))|k1_funct_1(X2,X3)=k8_surrealn(X3)|k1_funct_1(X2,k1_ordinal1(esk5_2(X1,X2)))!=k4_tarski(k1_tarski(k1_funct_1(X2,esk5_2(X1,X2))),k1_xboole_0)|k9_xtuple_0(X2)!=k1_ordinal1(X1)|~v3_ordinal1(X3)|~r2_tarski(X3,k1_ordinal1(X1))|~v1_relat_1(X2)|~v1_funct_1(X2)|~v5_ordinal1(X2)|~v3_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_20])).
cnf(c_0_136, negated_conjecture, (k1_funct_1(esk2_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),k8_surrealn(k2_xboole_0(esk1_0,k1_tarski(esk1_0)))),esk1_0)=k8_surrealn(esk1_0)|k1_funct_1(esk2_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),k8_surrealn(k2_xboole_0(esk1_0,k1_tarski(esk1_0)))),X1)=k8_surrealn(X1)|r2_tarski(k2_xboole_0(esk5_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),esk2_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),k8_surrealn(k2_xboole_0(esk1_0,k1_tarski(esk1_0))))),k1_tarski(esk5_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),esk2_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),k8_surrealn(k2_xboole_0(esk1_0,k1_tarski(esk1_0))))))),k2_xboole_0(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),k1_tarski(k2_xboole_0(esk1_0,k1_tarski(esk1_0)))))|~r2_tarski(X1,k2_xboole_0(esk1_0,k1_tarski(esk1_0)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133, c_0_39]), c_0_71])])).
cnf(c_0_137, plain, (k1_funct_1(X1,X3)=k8_surrealn(X3)|k9_xtuple_0(X1)!=k2_xboole_0(X2,k1_tarski(X2))|k1_funct_1(X1,esk6_2(X2,X1))!=k4_tarski(k2_relset_1(k10_xtuple_0(X1),k5_relat_1(X1,esk6_2(X2,X1))),k1_xboole_0)|k1_funct_1(X1,k2_xboole_0(esk5_2(X2,X1),k1_tarski(esk5_2(X2,X1))))!=k4_tarski(k1_tarski(k1_funct_1(X1,esk5_2(X2,X1))),k1_xboole_0)|~v3_ordinal1(X3)|~v3_ordinal1(X2)|~v1_relat_1(X1)|~v1_funct_1(X1)|~v5_ordinal1(X1)|~r2_tarski(X3,k2_xboole_0(X2,k1_tarski(X2)))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_134, c_0_14]), c_0_14]), c_0_14])).
cnf(c_0_138, plain, (k1_funct_1(X2,X3)=k8_surrealn(X3)|v3_ordinal1(esk6_2(X1,X2))|k9_xtuple_0(X2)!=k2_xboole_0(X1,k1_tarski(X1))|k1_funct_1(X2,k2_xboole_0(esk5_2(X1,X2),k1_tarski(esk5_2(X1,X2))))!=k4_tarski(k1_tarski(k1_funct_1(X2,esk5_2(X1,X2))),k1_xboole_0)|~v3_ordinal1(X3)|~v3_ordinal1(X1)|~v1_relat_1(X2)|~v1_funct_1(X2)|~v5_ordinal1(X2)|~r2_tarski(X3,k2_xboole_0(X1,k1_tarski(X1)))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_135, c_0_14]), c_0_14]), c_0_14])).
cnf(c_0_139, negated_conjecture, (k1_funct_1(esk2_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),k8_surrealn(k2_xboole_0(esk1_0,k1_tarski(esk1_0)))),esk1_0)=k8_surrealn(esk1_0)|r2_tarski(k2_xboole_0(esk5_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),esk2_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),k8_surrealn(k2_xboole_0(esk1_0,k1_tarski(esk1_0))))),k1_tarski(esk5_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),esk2_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),k8_surrealn(k2_xboole_0(esk1_0,k1_tarski(esk1_0))))))),k2_xboole_0(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),k1_tarski(k2_xboole_0(esk1_0,k1_tarski(esk1_0)))))), inference(spm,[status(thm)],[c_0_136, c_0_18])).
cnf(c_0_140, plain, (k1_funct_1(esk2_2(X1,k8_surrealn(X1)),X2)=k8_surrealn(X2)|k1_funct_1(esk2_2(X1,k8_surrealn(X1)),k2_xboole_0(esk5_2(X3,esk2_2(X1,k8_surrealn(X1))),k1_tarski(esk5_2(X3,esk2_2(X1,k8_surrealn(X1))))))!=k4_tarski(k1_tarski(k1_funct_1(esk2_2(X1,k8_surrealn(X1)),esk5_2(X3,esk2_2(X1,k8_surrealn(X1))))),k1_xboole_0)|k9_xtuple_0(esk2_2(X1,k8_surrealn(X1)))!=k2_xboole_0(X3,k1_tarski(X3))|~v4_ordinal1(esk6_2(X3,esk2_2(X1,k8_surrealn(X1))))|~r2_tarski(esk6_2(X3,esk2_2(X1,k8_surrealn(X1))),k2_xboole_0(X1,k1_tarski(X1)))|~r2_tarski(X2,k2_xboole_0(X3,k1_tarski(X3)))|~v3_ordinal1(X2)|~v3_ordinal1(X3)|~v3_ordinal1(X1)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_137, c_0_62]), c_0_138]), c_0_50]), c_0_51]), c_0_52])).
cnf(c_0_141, negated_conjecture, (k1_funct_1(esk2_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),k8_surrealn(k2_xboole_0(esk1_0,k1_tarski(esk1_0)))),k2_xboole_0(esk5_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),esk2_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),k8_surrealn(k2_xboole_0(esk1_0,k1_tarski(esk1_0))))),k1_tarski(esk5_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),esk2_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),k8_surrealn(k2_xboole_0(esk1_0,k1_tarski(esk1_0))))))))=k4_tarski(k1_tarski(k1_funct_1(esk2_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),k8_surrealn(k2_xboole_0(esk1_0,k1_tarski(esk1_0)))),esk5_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),esk2_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),k8_surrealn(k2_xboole_0(esk1_0,k1_tarski(esk1_0))))))),k1_xboole_0)|k1_funct_1(esk2_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),k8_surrealn(k2_xboole_0(esk1_0,k1_tarski(esk1_0)))),esk1_0)=k8_surrealn(esk1_0)|~v3_ordinal1(k2_xboole_0(esk1_0,k1_tarski(esk1_0)))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_97, c_0_139]), c_0_106])).
cnf(c_0_142, plain, (k1_funct_1(esk2_2(X1,k8_surrealn(X1)),X2)=k8_surrealn(X2)|k1_funct_1(esk2_2(X1,k8_surrealn(X1)),k2_xboole_0(esk5_2(X3,esk2_2(X1,k8_surrealn(X1))),k1_tarski(esk5_2(X3,esk2_2(X1,k8_surrealn(X1))))))!=k4_tarski(k1_tarski(k1_funct_1(esk2_2(X1,k8_surrealn(X1)),esk5_2(X3,esk2_2(X1,k8_surrealn(X1))))),k1_xboole_0)|k9_xtuple_0(esk2_2(X1,k8_surrealn(X1)))!=k2_xboole_0(X3,k1_tarski(X3))|~v4_ordinal1(esk6_2(X3,esk2_2(X1,k8_surrealn(X1))))|~r2_tarski(esk6_2(X3,esk2_2(X1,k8_surrealn(X1))),k9_xtuple_0(esk2_2(X1,k8_surrealn(X1))))|~r2_tarski(X2,k2_xboole_0(X3,k1_tarski(X3)))|~v3_ordinal1(X2)|~v3_ordinal1(X3)|~v3_ordinal1(X1)), inference(spm,[status(thm)],[c_0_140, c_0_43])).
cnf(c_0_143, negated_conjecture, (k1_funct_1(esk2_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),k8_surrealn(k2_xboole_0(esk1_0,k1_tarski(esk1_0)))),k2_xboole_0(esk5_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),esk2_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),k8_surrealn(k2_xboole_0(esk1_0,k1_tarski(esk1_0))))),k1_tarski(esk5_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),esk2_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),k8_surrealn(k2_xboole_0(esk1_0,k1_tarski(esk1_0))))))))=k4_tarski(k1_tarski(k1_funct_1(esk2_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),k8_surrealn(k2_xboole_0(esk1_0,k1_tarski(esk1_0)))),esk5_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),esk2_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),k8_surrealn(k2_xboole_0(esk1_0,k1_tarski(esk1_0))))))),k1_xboole_0)|k1_funct_1(esk2_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),k8_surrealn(k2_xboole_0(esk1_0,k1_tarski(esk1_0)))),esk1_0)=k8_surrealn(esk1_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_141, c_0_39]), c_0_71])])).
cnf(c_0_144, negated_conjecture, (k1_funct_1(esk2_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),k8_surrealn(k2_xboole_0(esk1_0,k1_tarski(esk1_0)))),esk1_0)=k8_surrealn(esk1_0)|k1_funct_1(esk2_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),k8_surrealn(k2_xboole_0(esk1_0,k1_tarski(esk1_0)))),X1)=k8_surrealn(X1)|~r2_tarski(X1,k2_xboole_0(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),k1_tarski(k2_xboole_0(esk1_0,k1_tarski(esk1_0)))))|~v3_ordinal1(k2_xboole_0(esk1_0,k1_tarski(esk1_0)))|~v3_ordinal1(X1)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_142, c_0_128]), c_0_129]), c_0_43]), c_0_143])).
cnf(c_0_145, negated_conjecture, (k1_funct_1(esk2_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),k8_surrealn(k2_xboole_0(esk1_0,k1_tarski(esk1_0)))),esk1_0)=k8_surrealn(esk1_0)|k1_funct_1(esk2_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),k8_surrealn(k2_xboole_0(esk1_0,k1_tarski(esk1_0)))),X1)=k8_surrealn(X1)|~r2_tarski(X1,k2_xboole_0(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),k1_tarski(k2_xboole_0(esk1_0,k1_tarski(esk1_0)))))|~v3_ordinal1(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_144, c_0_39]), c_0_71])])).
cnf(c_0_146, negated_conjecture, (k1_funct_1(esk2_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),k8_surrealn(k2_xboole_0(esk1_0,k1_tarski(esk1_0)))),esk1_0)=k8_surrealn(esk1_0)|k1_funct_1(esk2_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),k8_surrealn(k2_xboole_0(esk1_0,k1_tarski(esk1_0)))),X1)=k8_surrealn(X1)|~r2_tarski(X1,k9_xtuple_0(esk2_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),k8_surrealn(k2_xboole_0(esk1_0,k1_tarski(esk1_0))))))|~v3_ordinal1(k2_xboole_0(esk1_0,k1_tarski(esk1_0)))|~v3_ordinal1(X1)), inference(spm,[status(thm)],[c_0_145, c_0_43])).
cnf(c_0_147, negated_conjecture, (k1_funct_1(esk2_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),k8_surrealn(k2_xboole_0(esk1_0,k1_tarski(esk1_0)))),esk1_0)=k8_surrealn(esk1_0)|k1_funct_1(esk2_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),k8_surrealn(k2_xboole_0(esk1_0,k1_tarski(esk1_0)))),X1)=k8_surrealn(X1)|~r2_tarski(X1,k9_xtuple_0(esk2_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),k8_surrealn(k2_xboole_0(esk1_0,k1_tarski(esk1_0))))))|~v3_ordinal1(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_146, c_0_39]), c_0_71])])).
cnf(c_0_148, plain, (X1=k1_funct_1(esk2_2(X2,X1),X2)|X1!=k8_surrealn(X2)|~v3_ordinal1(X2)), inference(split_conjunct,[status(thm)],[c_0_30])).
cnf(c_0_149, negated_conjecture, (k1_funct_1(esk2_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),k8_surrealn(k2_xboole_0(esk1_0,k1_tarski(esk1_0)))),esk1_0)=k8_surrealn(esk1_0)|k1_funct_1(esk2_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),k8_surrealn(k2_xboole_0(esk1_0,k1_tarski(esk1_0)))),X1)=k8_surrealn(X1)|~r2_tarski(X1,k2_xboole_0(esk1_0,k1_tarski(esk1_0)))|~v3_ordinal1(k2_xboole_0(esk1_0,k1_tarski(esk1_0)))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_147, c_0_108]), c_0_27])).
cnf(c_0_150, plain, (k1_funct_1(esk2_2(X1,k8_surrealn(X1)),X1)=k8_surrealn(X1)|~v3_ordinal1(X1)), inference(er,[status(thm)],[c_0_148])).
cnf(c_0_151, plain, (k1_funct_1(esk2_2(k2_xboole_0(X1,k1_tarski(X1)),k8_surrealn(k2_xboole_0(X1,k1_tarski(X1)))),k2_xboole_0(X1,k1_tarski(X1)))=k4_tarski(k1_tarski(k1_funct_1(esk2_2(k2_xboole_0(X1,k1_tarski(X1)),k8_surrealn(k2_xboole_0(X1,k1_tarski(X1)))),X1)),k1_xboole_0)|~v3_ordinal1(k2_xboole_0(X1,k1_tarski(X1)))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_97, c_0_18]), c_0_33])).
cnf(c_0_152, negated_conjecture, (k1_funct_1(esk2_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),k8_surrealn(k2_xboole_0(esk1_0,k1_tarski(esk1_0)))),esk1_0)=k8_surrealn(esk1_0)|k1_funct_1(esk2_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),k8_surrealn(k2_xboole_0(esk1_0,k1_tarski(esk1_0)))),X1)=k8_surrealn(X1)|~r2_tarski(X1,k2_xboole_0(esk1_0,k1_tarski(esk1_0)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_149, c_0_39]), c_0_71])])).
cnf(c_0_153, negated_conjecture, (k8_surrealn(k1_ordinal1(esk1_0))!=k4_tarski(k1_tarski(k8_surrealn(esk1_0)),k1_xboole_0)), inference(split_conjunct,[status(thm)],[c_0_65])).
cnf(c_0_154, plain, (k4_tarski(k1_tarski(k1_funct_1(esk2_2(k2_xboole_0(X1,k1_tarski(X1)),k8_surrealn(k2_xboole_0(X1,k1_tarski(X1)))),X1)),k1_xboole_0)=k8_surrealn(k2_xboole_0(X1,k1_tarski(X1)))|~v3_ordinal1(k2_xboole_0(X1,k1_tarski(X1)))), inference(spm,[status(thm)],[c_0_150, c_0_151])).
cnf(c_0_155, negated_conjecture, (k1_funct_1(esk2_2(k2_xboole_0(esk1_0,k1_tarski(esk1_0)),k8_surrealn(k2_xboole_0(esk1_0,k1_tarski(esk1_0)))),esk1_0)=k8_surrealn(esk1_0)), inference(spm,[status(thm)],[c_0_152, c_0_18])).
cnf(c_0_156, negated_conjecture, (k8_surrealn(k2_xboole_0(esk1_0,k1_tarski(esk1_0)))!=k4_tarski(k1_tarski(k8_surrealn(esk1_0)),k1_xboole_0)), inference(rw,[status(thm)],[c_0_153, c_0_14])).
cnf(c_0_157, negated_conjecture, (~v3_ordinal1(k2_xboole_0(esk1_0,k1_tarski(esk1_0)))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_154, c_0_155]), c_0_156])).
cnf(c_0_158, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_157, c_0_39]), c_0_71])]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 159
# Proof object clause steps            : 137
# Proof object formula steps           : 22
# Proof object conjectures             : 43
# Proof object clause conjectures      : 40
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 28
# Proof object initial formulas used   : 10
# Proof object generating inferences   : 84
# Proof object simplifying inferences  : 137
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 12
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 44
# Removed in clause preprocessing      : 1
# Initial clauses in saturation        : 43
# Processed clauses                    : 3720
# ...of these trivial                  : 0
# ...subsumed                          : 1895
# ...remaining for further processing  : 1825
# Other redundant clauses eliminated   : 19
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 427
# Backward-rewritten                   : 267
# Generated clauses                    : 152576
# ...of the previous two non-trivial   : 152526
# Contextual simplify-reflections      : 526
# Paramodulations                      : 152525
# Factorizations                       : 0
# NegExts                              : 0
# Equation resolutions                 : 51
# 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  : 1069
#    Positive orientable unit clauses  : 4
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 3
#    Non-unit-clauses                  : 1062
# Current number of unprocessed clauses: 148277
# ...number of literals in the above   : 824503
# Current number of archived formulas  : 0
# Current number of archived clauses   : 738
# Clause-clause subsumption calls (NU) : 296968
# Rec. Clause-clause subsumption calls : 80612
# Non-unit clause-clause subsumptions  : 2848
# Unit Clause-clause subsumption calls : 96
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 1
# BW rewrite match successes           : 1
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 737146472

# -------------------------------------------------
# User time                : 115.312 s
# System time              : 0.136 s
# Total time               : 115.448 s
# Maximum resident set size: 3528 pages
