# No SInE strategy applied
# Trying AutoSched0 for 161 seconds
# AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
# and selection function SelectComplexExceptUniqMaxHorn.
#
# Preprocessing time       : 0.018 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(t48_surrealo, axiom, ![X1]:(v2_surreal0(X1)=>((v2_surreal0(X1)&v2_surrealo(X1))=>k12_surreal0(X1)=k2_surrealo(X1))), file('surrealn/surrealn__t52_surrealn', t48_surrealo)).
fof(redefinition_r1_ordinal1, axiom, ![X1, X2]:((v3_ordinal1(X1)&v3_ordinal1(X2))=>(r1_ordinal1(X1,X2)<=>r1_tarski(X1,X2))), file('surrealn/surrealn__t52_surrealn', redefinition_r1_ordinal1)).
fof(t49_surrealn, axiom, ![X1]:(v1_xreal_0(X1)=>r1_ordinal1(k12_surreal0(k1_funct_1(k5_surrealn,X1)),k4_ordinal1)), file('surrealn/surrealn__t52_surrealn', t49_surrealn)).
fof(fc6_ordinal1, axiom, (~(v1_xboole_0(k4_ordinal1))&v3_ordinal1(k4_ordinal1)), file('surrealn/surrealn__t52_surrealn', fc6_ordinal1)).
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__t52_surrealn', d5_surrealo)).
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__t52_surrealn', d10_surrealo)).
fof(fc14_surrealn, axiom, ![X1]:(v1_xreal_0(X1)=>v2_surrealo(k1_funct_1(k6_surrealn,X1))), file('surrealn/surrealn__t52_surrealn', fc14_surrealn)).
fof(fc13_surrealn, axiom, ![X1]:(v1_xreal_0(X1)=>v2_surreal0(k1_funct_1(k6_surrealn,X1))), file('surrealn/surrealn__t52_surrealn', fc13_surrealn)).
fof(t1_xboole_1, axiom, ![X1, X2, X3]:((r1_tarski(X1,X2)&r1_tarski(X2,X3))=>r1_tarski(X1,X3)), file('surrealn/surrealn__t52_surrealn', t1_xboole_1)).
fof(dt_k12_surreal0, axiom, ![X1]:(v2_surreal0(X1)=>v3_ordinal1(k12_surreal0(X1))), file('surrealn/surrealn__t52_surrealn', dt_k12_surreal0)).
fof(symmetry_r2_surrealo, axiom, ![X1, X2]:((v2_surreal0(X1)&v2_surreal0(X2))=>(r2_surrealo(X1,X2)=>r2_surrealo(X2,X1))), file('surrealn/surrealn__t52_surrealn', symmetry_r2_surrealo)).
fof(d7_surrealn, axiom, ![X1]:((((v1_relat_1(X1)&v4_relat_1(X1,k1_numbers))&v1_funct_1(X1))&v1_partfun1(X1,k1_numbers))=>(X1=k6_surrealn<=>![X2]:(v1_xreal_0(X2)=>k1_funct_1(X1,X2)=k6_surrealo(k1_funct_1(k5_surrealn,X2))))), file('surrealn/surrealn__t52_surrealn', d7_surrealn)).
fof(fc12_surrealn, axiom, ![X1]:(v1_xreal_0(X1)=>v2_surreal0(k1_funct_1(k5_surrealn,X1))), file('surrealn/surrealn__t52_surrealn', fc12_surrealn)).
fof(dt_k6_surrealn, axiom, (((v1_relat_1(k6_surrealn)&v4_relat_1(k6_surrealn,k1_numbers))&v1_funct_1(k6_surrealn))&v1_partfun1(k6_surrealn,k1_numbers)), file('surrealn/surrealn__t52_surrealn', dt_k6_surrealn)).
fof(d8_xboole_0, axiom, ![X1, X2]:(r2_xboole_0(X1,X2)<=>(r1_tarski(X1,X2)&X1!=X2)), file('surrealn/surrealn__t52_surrealn', d8_xboole_0)).
fof(t52_surrealn, conjecture, ![X1]:(v1_xreal_0(X1)=>(k12_surreal0(k1_funct_1(k6_surrealn,X1))=k4_ordinal1<=>~((v1_rat_1(X1)&v1_surrealn(X1))))), file('surrealn/surrealn__t52_surrealn', t52_surrealn)).
fof(connectedness_r1_xxreal_0, axiom, ![X1, X2]:((v1_xxreal_0(X1)&v1_xxreal_0(X2))=>(r1_xxreal_0(X1,X2)|r1_xxreal_0(X2,X1))), file('surrealn/surrealn__t52_surrealn', connectedness_r1_xxreal_0)).
fof(cc4_xreal_0, axiom, ![X1]:(v1_xreal_0(X1)=>v1_xxreal_0(X1)), file('surrealn/surrealn__t52_surrealn', cc4_xreal_0)).
fof(t11_ordinal1, axiom, ![X1]:(v1_ordinal1(X1)=>![X2]:(v3_ordinal1(X2)=>(r2_xboole_0(X1,X2)=>r2_tarski(X1,X2)))), file('surrealn/surrealn__t52_surrealn', t11_ordinal1)).
fof(t37_surrealn, axiom, ![X1]:(v2_surreal0(X1)=>(((v2_surreal0(X1)&v2_surrealo(X1))&v1_finset_1(k12_surreal0(X1)))<=>?[X2]:((v1_rat_1(X2)&v1_surrealn(X2))&X1=k1_funct_1(k4_surrealn,X2)))), file('surrealn/surrealn__t52_surrealn', t37_surrealn)).
fof(cc1_ordinal1, axiom, ![X1]:(v3_ordinal1(X1)=>(v1_ordinal1(X1)&v2_ordinal1(X1))), file('surrealn/surrealn__t52_surrealn', cc1_ordinal1)).
fof(cc1_rat_1, axiom, ![X1]:(v1_rat_1(X1)=>v1_xreal_0(X1)), file('surrealn/surrealn__t52_surrealn', cc1_rat_1)).
fof(cc4_card_1, axiom, ![X1]:(m1_subset_1(X1,k4_ordinal1)=>v1_finset_1(X1)), file('surrealn/surrealn__t52_surrealn', cc4_card_1)).
fof(t1_subset, axiom, ![X1, X2]:(r2_tarski(X1,X2)=>m1_subset_1(X1,X2)), file('surrealn/surrealn__t52_surrealn', t1_subset)).
fof(t46_surrealn, axiom, ![X1]:((v1_rat_1(X1)&v1_surrealn(X1))=>(r2_surrealo(k1_funct_1(k5_surrealn,X1),k1_funct_1(k4_surrealn,X1))&k1_funct_1(k4_surrealn,X1)=k1_funct_1(k6_surrealn,X1))), file('surrealn/surrealn__t52_surrealn', t46_surrealn)).
fof(t51_surrealn, axiom, ![X1]:(v1_xreal_0(X1)=>![X2]:(v1_xreal_0(X2)=>(~((~(r5_surreal0(k1_funct_1(k6_surrealn,X2),k1_funct_1(k6_surrealn,X1)))&r1_xxreal_0(X2,X1)))&~((~(r1_xxreal_0(X2,X1))&r5_surreal0(k1_funct_1(k6_surrealn,X2),k1_funct_1(k6_surrealn,X1))))))), file('surrealn/surrealn__t52_surrealn', t51_surrealn)).
fof(t1_xxreal_0, axiom, ![X1]:(v1_xxreal_0(X1)=>![X2]:(v1_xxreal_0(X2)=>((r1_xxreal_0(X1,X2)&r1_xxreal_0(X2,X1))=>X1=X2))), file('surrealn/surrealn__t52_surrealn', t1_xxreal_0)).
fof(fc9_card_1, axiom, ~(v1_finset_1(k4_ordinal1)), file('surrealn/surrealn__t52_surrealn', fc9_card_1)).
fof(c_0_28, plain, ![X86]:(~v2_surreal0(X86)|(~v2_surreal0(X86)|~v2_surrealo(X86)|k12_surreal0(X86)=k2_surrealo(X86))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t48_surrealo])])).
fof(c_0_29, plain, ![X69, X70]:((~r1_ordinal1(X69,X70)|r1_tarski(X69,X70)|(~v3_ordinal1(X69)|~v3_ordinal1(X70)))&(~r1_tarski(X69,X70)|r1_ordinal1(X69,X70)|(~v3_ordinal1(X69)|~v3_ordinal1(X70)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_r1_ordinal1])])])).
fof(c_0_30, plain, ![X87]:(~v1_xreal_0(X87)|r1_ordinal1(k12_surreal0(k1_funct_1(k5_surrealn,X87)),k4_ordinal1)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t49_surrealn])])).
fof(c_0_31, plain, (~v1_xboole_0(k4_ordinal1)&v3_ordinal1(k4_ordinal1)), inference(fof_simplification,[status(thm)],[fc6_ordinal1])).
fof(c_0_32, plain, ![X54, X55, X57, X58]:(((((v2_surreal0(esk2_2(X54,X55))|X55!=k2_surrealo(X54)|~v3_ordinal1(X55)|~v2_surreal0(X54))&(k12_surreal0(esk2_2(X54,X55))=X55|X55!=k2_surrealo(X54)|~v3_ordinal1(X55)|~v2_surreal0(X54)))&(r2_surrealo(esk2_2(X54,X55),X54)|X55!=k2_surrealo(X54)|~v3_ordinal1(X55)|~v2_surreal0(X54)))&(~v2_surreal0(X57)|(~r2_surrealo(X57,X54)|r1_ordinal1(X55,k12_surreal0(X57)))|X55!=k2_surrealo(X54)|~v3_ordinal1(X55)|~v2_surreal0(X54)))&((v2_surreal0(esk3_2(X54,X55))|(~v2_surreal0(X58)|k12_surreal0(X58)!=X55|~r2_surrealo(X58,X54))|X55=k2_surrealo(X54)|~v3_ordinal1(X55)|~v2_surreal0(X54))&((r2_surrealo(esk3_2(X54,X55),X54)|(~v2_surreal0(X58)|k12_surreal0(X58)!=X55|~r2_surrealo(X58,X54))|X55=k2_surrealo(X54)|~v3_ordinal1(X55)|~v2_surreal0(X54))&(~r1_ordinal1(X55,k12_surreal0(esk3_2(X54,X55)))|(~v2_surreal0(X58)|k12_surreal0(X58)!=X55|~r2_surrealo(X58,X54))|X55=k2_surrealo(X54)|~v3_ordinal1(X55)|~v2_surreal0(X54))))), 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_33, plain, ![X52, X53]:(((r2_surrealo(X53,X52)|X53!=k6_surrealo(X52)|~v2_surreal0(X53)|~v2_surreal0(X52))&(r2_tarski(X53,k1_funct_1(k5_surrealo(k2_surrealo(X52)),k2_surrealo(X52)))|X53!=k6_surrealo(X52)|~v2_surreal0(X53)|~v2_surreal0(X52)))&(~r2_surrealo(X53,X52)|~r2_tarski(X53,k1_funct_1(k5_surrealo(k2_surrealo(X52)),k2_surrealo(X52)))|X53=k6_surrealo(X52)|~v2_surreal0(X53)|~v2_surreal0(X52))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d10_surrealo])])])])).
cnf(c_0_34, plain, (k12_surreal0(X1)=k2_surrealo(X1)|~v2_surreal0(X1)|~v2_surreal0(X1)|~v2_surrealo(X1)), inference(split_conjunct,[status(thm)],[c_0_28])).
fof(c_0_35, plain, ![X68]:(~v1_xreal_0(X68)|v2_surrealo(k1_funct_1(k6_surrealn,X68))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc14_surrealn])])).
fof(c_0_36, plain, ![X67]:(~v1_xreal_0(X67)|v2_surreal0(k1_funct_1(k6_surrealn,X67))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc13_surrealn])])).
fof(c_0_37, plain, ![X77, X78, X79]:(~r1_tarski(X77,X78)|~r1_tarski(X78,X79)|r1_tarski(X77,X79)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t1_xboole_1])])).
cnf(c_0_38, plain, (r1_tarski(X1,X2)|~r1_ordinal1(X1,X2)|~v3_ordinal1(X1)|~v3_ordinal1(X2)), inference(split_conjunct,[status(thm)],[c_0_29])).
cnf(c_0_39, plain, (r1_ordinal1(k12_surreal0(k1_funct_1(k5_surrealn,X1)),k4_ordinal1)|~v1_xreal_0(X1)), inference(split_conjunct,[status(thm)],[c_0_30])).
cnf(c_0_40, plain, (v3_ordinal1(k4_ordinal1)), inference(split_conjunct,[status(thm)],[c_0_31])).
cnf(c_0_41, 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_32])).
fof(c_0_42, plain, ![X65]:(~v2_surreal0(X65)|v3_ordinal1(k12_surreal0(X65))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k12_surreal0])])).
fof(c_0_43, plain, ![X71, X72]:(~v2_surreal0(X71)|~v2_surreal0(X72)|(~r2_surrealo(X71,X72)|r2_surrealo(X72,X71))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[symmetry_r2_surrealo])])).
cnf(c_0_44, plain, (r2_surrealo(X1,X2)|X1!=k6_surrealo(X2)|~v2_surreal0(X1)|~v2_surreal0(X2)), inference(split_conjunct,[status(thm)],[c_0_33])).
fof(c_0_45, plain, ![X60, X61]:((X60!=k6_surrealn|(~v1_xreal_0(X61)|k1_funct_1(X60,X61)=k6_surrealo(k1_funct_1(k5_surrealn,X61)))|(~v1_relat_1(X60)|~v4_relat_1(X60,k1_numbers)|~v1_funct_1(X60)|~v1_partfun1(X60,k1_numbers)))&((v1_xreal_0(esk4_1(X60))|X60=k6_surrealn|(~v1_relat_1(X60)|~v4_relat_1(X60,k1_numbers)|~v1_funct_1(X60)|~v1_partfun1(X60,k1_numbers)))&(k1_funct_1(X60,esk4_1(X60))!=k6_surrealo(k1_funct_1(k5_surrealn,esk4_1(X60)))|X60=k6_surrealn|(~v1_relat_1(X60)|~v4_relat_1(X60,k1_numbers)|~v1_funct_1(X60)|~v1_partfun1(X60,k1_numbers))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d7_surrealn])])])])])).
cnf(c_0_46, plain, (k12_surreal0(esk2_2(X1,X2))=X2|X2!=k2_surrealo(X1)|~v3_ordinal1(X2)|~v2_surreal0(X1)), inference(split_conjunct,[status(thm)],[c_0_32])).
cnf(c_0_47, plain, (k2_surrealo(X1)=k12_surreal0(X1)|~v2_surreal0(X1)|~v2_surrealo(X1)), inference(cn,[status(thm)],[c_0_34])).
cnf(c_0_48, plain, (v2_surrealo(k1_funct_1(k6_surrealn,X1))|~v1_xreal_0(X1)), inference(split_conjunct,[status(thm)],[c_0_35])).
cnf(c_0_49, plain, (v2_surreal0(k1_funct_1(k6_surrealn,X1))|~v1_xreal_0(X1)), inference(split_conjunct,[status(thm)],[c_0_36])).
cnf(c_0_50, plain, (r1_tarski(X1,X3)|~r1_tarski(X1,X2)|~r1_tarski(X2,X3)), inference(split_conjunct,[status(thm)],[c_0_37])).
cnf(c_0_51, plain, (r1_tarski(k12_surreal0(k1_funct_1(k5_surrealn,X1)),k4_ordinal1)|~v3_ordinal1(k12_surreal0(k1_funct_1(k5_surrealn,X1)))|~v1_xreal_0(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38, c_0_39]), c_0_40])])).
cnf(c_0_52, plain, (r1_ordinal1(k2_surrealo(X1),k12_surreal0(X2))|~r2_surrealo(X2,X1)|~v2_surreal0(X1)|~v2_surreal0(X2)|~v3_ordinal1(k2_surrealo(X1))), inference(er,[status(thm)],[c_0_41])).
cnf(c_0_53, plain, (v3_ordinal1(k12_surreal0(X1))|~v2_surreal0(X1)), inference(split_conjunct,[status(thm)],[c_0_42])).
fof(c_0_54, plain, ![X66]:(~v1_xreal_0(X66)|v2_surreal0(k1_funct_1(k5_surrealn,X66))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc12_surrealn])])).
cnf(c_0_55, plain, (r2_surrealo(X2,X1)|~v2_surreal0(X1)|~v2_surreal0(X2)|~r2_surrealo(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_43])).
cnf(c_0_56, plain, (r2_surrealo(k6_surrealo(X1),X1)|~v2_surreal0(k6_surrealo(X1))|~v2_surreal0(X1)), inference(er,[status(thm)],[c_0_44])).
cnf(c_0_57, plain, (k1_funct_1(X1,X2)=k6_surrealo(k1_funct_1(k5_surrealn,X2))|X1!=k6_surrealn|~v1_xreal_0(X2)|~v1_relat_1(X1)|~v4_relat_1(X1,k1_numbers)|~v1_funct_1(X1)|~v1_partfun1(X1,k1_numbers)), inference(split_conjunct,[status(thm)],[c_0_45])).
cnf(c_0_58, plain, (v1_partfun1(k6_surrealn,k1_numbers)), inference(split_conjunct,[status(thm)],[dt_k6_surrealn])).
cnf(c_0_59, plain, (v1_funct_1(k6_surrealn)), inference(split_conjunct,[status(thm)],[dt_k6_surrealn])).
cnf(c_0_60, plain, (v4_relat_1(k6_surrealn,k1_numbers)), inference(split_conjunct,[status(thm)],[dt_k6_surrealn])).
cnf(c_0_61, plain, (v1_relat_1(k6_surrealn)), inference(split_conjunct,[status(thm)],[dt_k6_surrealn])).
cnf(c_0_62, plain, (k12_surreal0(esk2_2(X1,k2_surrealo(X1)))=k2_surrealo(X1)|~v2_surreal0(X1)|~v3_ordinal1(k2_surrealo(X1))), inference(er,[status(thm)],[c_0_46])).
cnf(c_0_63, plain, (k2_surrealo(k1_funct_1(k6_surrealn,X1))=k12_surreal0(k1_funct_1(k6_surrealn,X1))|~v1_xreal_0(X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_47, c_0_48]), c_0_49])).
cnf(c_0_64, plain, (v2_surreal0(esk2_2(X1,X2))|X2!=k2_surrealo(X1)|~v3_ordinal1(X2)|~v2_surreal0(X1)), inference(split_conjunct,[status(thm)],[c_0_32])).
cnf(c_0_65, plain, (r1_tarski(X1,k4_ordinal1)|~r1_tarski(X1,k12_surreal0(k1_funct_1(k5_surrealn,X2)))|~v3_ordinal1(k12_surreal0(k1_funct_1(k5_surrealn,X2)))|~v1_xreal_0(X2)), inference(spm,[status(thm)],[c_0_50, c_0_51])).
cnf(c_0_66, plain, (r1_tarski(k2_surrealo(X1),k12_surreal0(X2))|~r2_surrealo(X2,X1)|~v2_surreal0(X1)|~v2_surreal0(X2)|~v3_ordinal1(k2_surrealo(X1))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_38, c_0_52]), c_0_53])).
cnf(c_0_67, plain, (v2_surreal0(k1_funct_1(k5_surrealn,X1))|~v1_xreal_0(X1)), inference(split_conjunct,[status(thm)],[c_0_54])).
cnf(c_0_68, plain, (r2_surrealo(X1,k6_surrealo(X1))|~v2_surreal0(k6_surrealo(X1))|~v2_surreal0(X1)), inference(spm,[status(thm)],[c_0_55, c_0_56])).
cnf(c_0_69, plain, (k6_surrealo(k1_funct_1(k5_surrealn,X1))=k1_funct_1(k6_surrealn,X1)|~v1_xreal_0(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_57]), c_0_58]), c_0_59]), c_0_60]), c_0_61])])).
cnf(c_0_70, plain, (k12_surreal0(esk2_2(k1_funct_1(k6_surrealn,X1),k12_surreal0(k1_funct_1(k6_surrealn,X1))))=k12_surreal0(k1_funct_1(k6_surrealn,X1))|~v1_xreal_0(X1)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_62, c_0_63]), c_0_53]), c_0_49])).
cnf(c_0_71, plain, (v2_surreal0(esk2_2(X1,k2_surrealo(X1)))|~v2_surreal0(X1)|~v3_ordinal1(k2_surrealo(X1))), inference(er,[status(thm)],[c_0_64])).
cnf(c_0_72, plain, (r1_tarski(k2_surrealo(X1),k4_ordinal1)|~r2_surrealo(k1_funct_1(k5_surrealn,X2),X1)|~v2_surreal0(X1)|~v3_ordinal1(k2_surrealo(X1))|~v1_xreal_0(X2)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_65, c_0_66]), c_0_53]), c_0_67])).
cnf(c_0_73, plain, (r2_surrealo(k1_funct_1(k5_surrealn,X1),k1_funct_1(k6_surrealn,X1))|~v1_xreal_0(X1)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_68, c_0_69]), c_0_67]), c_0_49])).
cnf(c_0_74, plain, (v3_ordinal1(k12_surreal0(k1_funct_1(k6_surrealn,X1)))|~v2_surreal0(esk2_2(k1_funct_1(k6_surrealn,X1),k12_surreal0(k1_funct_1(k6_surrealn,X1))))|~v1_xreal_0(X1)), inference(spm,[status(thm)],[c_0_53, c_0_70])).
cnf(c_0_75, plain, (v2_surreal0(esk2_2(k1_funct_1(k6_surrealn,X1),k12_surreal0(k1_funct_1(k6_surrealn,X1))))|~v1_xreal_0(X1)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_71, c_0_63]), c_0_53]), c_0_49])).
fof(c_0_76, plain, ![X63, X64]:(((r1_tarski(X63,X64)|~r2_xboole_0(X63,X64))&(X63!=X64|~r2_xboole_0(X63,X64)))&(~r1_tarski(X63,X64)|X63=X64|r2_xboole_0(X63,X64))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d8_xboole_0])])])).
cnf(c_0_77, plain, (r1_tarski(k2_surrealo(k1_funct_1(k6_surrealn,X1)),k4_ordinal1)|~v3_ordinal1(k2_surrealo(k1_funct_1(k6_surrealn,X1)))|~v1_xreal_0(X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_72, c_0_73]), c_0_49])).
cnf(c_0_78, plain, (v3_ordinal1(k12_surreal0(k1_funct_1(k6_surrealn,X1)))|~v1_xreal_0(X1)), inference(spm,[status(thm)],[c_0_74, c_0_75])).
fof(c_0_79, negated_conjecture, ~(![X1]:(v1_xreal_0(X1)=>(k12_surreal0(k1_funct_1(k6_surrealn,X1))=k4_ordinal1<=>~((v1_rat_1(X1)&v1_surrealn(X1)))))), inference(assume_negation,[status(cth)],[t52_surrealn])).
cnf(c_0_80, plain, (X1=X2|r2_xboole_0(X1,X2)|~r1_tarski(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_76])).
cnf(c_0_81, plain, (r1_tarski(k12_surreal0(k1_funct_1(k6_surrealn,X1)),k4_ordinal1)|~v1_xreal_0(X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_77, c_0_63]), c_0_78])).
fof(c_0_82, negated_conjecture, (v1_xreal_0(esk1_0)&(((v1_rat_1(esk1_0)|k12_surreal0(k1_funct_1(k6_surrealn,esk1_0))!=k4_ordinal1)&(v1_surrealn(esk1_0)|k12_surreal0(k1_funct_1(k6_surrealn,esk1_0))!=k4_ordinal1))&(k12_surreal0(k1_funct_1(k6_surrealn,esk1_0))=k4_ordinal1|(~v1_rat_1(esk1_0)|~v1_surrealn(esk1_0))))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_79])])])])).
fof(c_0_83, plain, ![X50, X51]:(~v1_xxreal_0(X50)|~v1_xxreal_0(X51)|(r1_xxreal_0(X50,X51)|r1_xxreal_0(X51,X50))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[connectedness_r1_xxreal_0])])).
fof(c_0_84, plain, ![X49]:(~v1_xreal_0(X49)|v1_xxreal_0(X49)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc4_xreal_0])])).
fof(c_0_85, plain, ![X73, X74]:(~v1_ordinal1(X73)|(~v3_ordinal1(X74)|(~r2_xboole_0(X73,X74)|r2_tarski(X73,X74)))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t11_ordinal1])])])).
cnf(c_0_86, plain, (k12_surreal0(k1_funct_1(k6_surrealn,X1))=k4_ordinal1|r2_xboole_0(k12_surreal0(k1_funct_1(k6_surrealn,X1)),k4_ordinal1)|~v1_xreal_0(X1)), inference(spm,[status(thm)],[c_0_80, c_0_81])).
cnf(c_0_87, negated_conjecture, (v1_xreal_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_82])).
cnf(c_0_88, plain, (r1_xxreal_0(X1,X2)|r1_xxreal_0(X2,X1)|~v1_xxreal_0(X1)|~v1_xxreal_0(X2)), inference(split_conjunct,[status(thm)],[c_0_83])).
cnf(c_0_89, plain, (v1_xxreal_0(X1)|~v1_xreal_0(X1)), inference(split_conjunct,[status(thm)],[c_0_84])).
fof(c_0_90, plain, ![X82, X84]:((((v1_rat_1(esk5_1(X82))|(~v2_surreal0(X82)|~v2_surrealo(X82)|~v1_finset_1(k12_surreal0(X82)))|~v2_surreal0(X82))&(v1_surrealn(esk5_1(X82))|(~v2_surreal0(X82)|~v2_surrealo(X82)|~v1_finset_1(k12_surreal0(X82)))|~v2_surreal0(X82)))&(X82=k1_funct_1(k4_surrealn,esk5_1(X82))|(~v2_surreal0(X82)|~v2_surrealo(X82)|~v1_finset_1(k12_surreal0(X82)))|~v2_surreal0(X82)))&(((v2_surreal0(X82)|(~v1_rat_1(X84)|~v1_surrealn(X84)|X82!=k1_funct_1(k4_surrealn,X84))|~v2_surreal0(X82))&(v2_surrealo(X82)|(~v1_rat_1(X84)|~v1_surrealn(X84)|X82!=k1_funct_1(k4_surrealn,X84))|~v2_surreal0(X82)))&(v1_finset_1(k12_surreal0(X82))|(~v1_rat_1(X84)|~v1_surrealn(X84)|X82!=k1_funct_1(k4_surrealn,X84))|~v2_surreal0(X82)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t37_surrealn])])])])])).
cnf(c_0_91, plain, (r2_tarski(X1,X2)|~v1_ordinal1(X1)|~v3_ordinal1(X2)|~r2_xboole_0(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_85])).
cnf(c_0_92, negated_conjecture, (k12_surreal0(k1_funct_1(k6_surrealn,esk1_0))=k4_ordinal1|r2_xboole_0(k12_surreal0(k1_funct_1(k6_surrealn,esk1_0)),k4_ordinal1)), inference(spm,[status(thm)],[c_0_86, c_0_87])).
fof(c_0_93, plain, ![X46]:((v1_ordinal1(X46)|~v3_ordinal1(X46))&(v2_ordinal1(X46)|~v3_ordinal1(X46))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_ordinal1])])])).
cnf(c_0_94, plain, (r1_xxreal_0(X1,X2)|r1_xxreal_0(X2,X1)|~v1_xxreal_0(X1)|~v1_xreal_0(X2)), inference(spm,[status(thm)],[c_0_88, c_0_89])).
fof(c_0_95, plain, ![X47]:(~v1_rat_1(X47)|v1_xreal_0(X47)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_rat_1])])).
cnf(c_0_96, plain, (v1_rat_1(esk5_1(X1))|~v2_surreal0(X1)|~v2_surrealo(X1)|~v1_finset_1(k12_surreal0(X1))|~v2_surreal0(X1)), inference(split_conjunct,[status(thm)],[c_0_90])).
fof(c_0_97, plain, ![X48]:(~m1_subset_1(X48,k4_ordinal1)|v1_finset_1(X48)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc4_card_1])])).
fof(c_0_98, plain, ![X75, X76]:(~r2_tarski(X75,X76)|m1_subset_1(X75,X76)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t1_subset])])).
cnf(c_0_99, negated_conjecture, (k12_surreal0(k1_funct_1(k6_surrealn,esk1_0))=k4_ordinal1|r2_tarski(k12_surreal0(k1_funct_1(k6_surrealn,esk1_0)),k4_ordinal1)|~v1_ordinal1(k12_surreal0(k1_funct_1(k6_surrealn,esk1_0)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91, c_0_92]), c_0_40])])).
cnf(c_0_100, plain, (v1_ordinal1(X1)|~v3_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_93])).
fof(c_0_101, plain, ![X85]:((r2_surrealo(k1_funct_1(k5_surrealn,X85),k1_funct_1(k4_surrealn,X85))|(~v1_rat_1(X85)|~v1_surrealn(X85)))&(k1_funct_1(k4_surrealn,X85)=k1_funct_1(k6_surrealn,X85)|(~v1_rat_1(X85)|~v1_surrealn(X85)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t46_surrealn])])])).
cnf(c_0_102, plain, (v1_surrealn(esk5_1(X1))|~v2_surreal0(X1)|~v2_surrealo(X1)|~v1_finset_1(k12_surreal0(X1))|~v2_surreal0(X1)), inference(split_conjunct,[status(thm)],[c_0_90])).
cnf(c_0_103, plain, (r1_xxreal_0(X1,X2)|r1_xxreal_0(X2,X1)|~v1_xreal_0(X1)|~v1_xreal_0(X2)), inference(spm,[status(thm)],[c_0_94, c_0_89])).
cnf(c_0_104, plain, (v1_xreal_0(X1)|~v1_rat_1(X1)), inference(split_conjunct,[status(thm)],[c_0_95])).
cnf(c_0_105, plain, (v1_rat_1(esk5_1(X1))|~v2_surreal0(X1)|~v2_surrealo(X1)|~v1_finset_1(k12_surreal0(X1))), inference(cn,[status(thm)],[c_0_96])).
cnf(c_0_106, plain, (v1_finset_1(X1)|~m1_subset_1(X1,k4_ordinal1)), inference(split_conjunct,[status(thm)],[c_0_97])).
cnf(c_0_107, plain, (m1_subset_1(X1,X2)|~r2_tarski(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_98])).
cnf(c_0_108, negated_conjecture, (k12_surreal0(k1_funct_1(k6_surrealn,esk1_0))=k4_ordinal1|r2_tarski(k12_surreal0(k1_funct_1(k6_surrealn,esk1_0)),k4_ordinal1)|~v3_ordinal1(k12_surreal0(k1_funct_1(k6_surrealn,esk1_0)))), inference(spm,[status(thm)],[c_0_99, c_0_100])).
cnf(c_0_109, negated_conjecture, (v2_surreal0(k1_funct_1(k6_surrealn,esk1_0))), inference(spm,[status(thm)],[c_0_49, c_0_87])).
fof(c_0_110, plain, ![X1]:(v1_xreal_0(X1)=>![X2]:(v1_xreal_0(X2)=>(~((~r5_surreal0(k1_funct_1(k6_surrealn,X2),k1_funct_1(k6_surrealn,X1))&r1_xxreal_0(X2,X1)))&~((~r1_xxreal_0(X2,X1)&r5_surreal0(k1_funct_1(k6_surrealn,X2),k1_funct_1(k6_surrealn,X1))))))), inference(fof_simplification,[status(thm)],[t51_surrealn])).
cnf(c_0_111, plain, (X1=k1_funct_1(k4_surrealn,esk5_1(X1))|~v2_surreal0(X1)|~v2_surrealo(X1)|~v1_finset_1(k12_surreal0(X1))|~v2_surreal0(X1)), inference(split_conjunct,[status(thm)],[c_0_90])).
cnf(c_0_112, plain, (k1_funct_1(k4_surrealn,X1)=k1_funct_1(k6_surrealn,X1)|~v1_rat_1(X1)|~v1_surrealn(X1)), inference(split_conjunct,[status(thm)],[c_0_101])).
cnf(c_0_113, plain, (v1_surrealn(esk5_1(X1))|~v2_surreal0(X1)|~v2_surrealo(X1)|~v1_finset_1(k12_surreal0(X1))), inference(cn,[status(thm)],[c_0_102])).
cnf(c_0_114, negated_conjecture, (r1_xxreal_0(X1,esk1_0)|r1_xxreal_0(esk1_0,X1)|~v1_xreal_0(X1)), inference(spm,[status(thm)],[c_0_103, c_0_87])).
cnf(c_0_115, plain, (v1_xreal_0(esk5_1(X1))|~v2_surrealo(X1)|~v2_surreal0(X1)|~v1_finset_1(k12_surreal0(X1))), inference(spm,[status(thm)],[c_0_104, c_0_105])).
cnf(c_0_116, plain, (v1_finset_1(X1)|~r2_tarski(X1,k4_ordinal1)), inference(spm,[status(thm)],[c_0_106, c_0_107])).
cnf(c_0_117, negated_conjecture, (k12_surreal0(k1_funct_1(k6_surrealn,esk1_0))=k4_ordinal1|r2_tarski(k12_surreal0(k1_funct_1(k6_surrealn,esk1_0)),k4_ordinal1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108, c_0_53]), c_0_109])])).
fof(c_0_118, plain, ![X88, X89]:((r5_surreal0(k1_funct_1(k6_surrealn,X89),k1_funct_1(k6_surrealn,X88))|~r1_xxreal_0(X89,X88)|~v1_xreal_0(X89)|~v1_xreal_0(X88))&(r1_xxreal_0(X89,X88)|~r5_surreal0(k1_funct_1(k6_surrealn,X89),k1_funct_1(k6_surrealn,X88))|~v1_xreal_0(X89)|~v1_xreal_0(X88))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_110])])])])).
cnf(c_0_119, plain, (X1=k1_funct_1(k4_surrealn,esk5_1(X1))|~v2_surreal0(X1)|~v2_surrealo(X1)|~v1_finset_1(k12_surreal0(X1))), inference(cn,[status(thm)],[c_0_111])).
cnf(c_0_120, plain, (k1_funct_1(k4_surrealn,esk5_1(X1))=k1_funct_1(k6_surrealn,esk5_1(X1))|~v2_surrealo(X1)|~v2_surreal0(X1)|~v1_finset_1(k12_surreal0(X1))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_112, c_0_113]), c_0_105])).
cnf(c_0_121, negated_conjecture, (r1_xxreal_0(esk1_0,esk5_1(X1))|r1_xxreal_0(esk5_1(X1),esk1_0)|~v2_surrealo(X1)|~v2_surreal0(X1)|~v1_finset_1(k12_surreal0(X1))), inference(spm,[status(thm)],[c_0_114, c_0_115])).
cnf(c_0_122, negated_conjecture, (k12_surreal0(k1_funct_1(k6_surrealn,esk1_0))=k4_ordinal1|v1_finset_1(k12_surreal0(k1_funct_1(k6_surrealn,esk1_0)))), inference(spm,[status(thm)],[c_0_116, c_0_117])).
cnf(c_0_123, plain, (r5_surreal0(k1_funct_1(k6_surrealn,X1),k1_funct_1(k6_surrealn,X2))|~r1_xxreal_0(X1,X2)|~v1_xreal_0(X1)|~v1_xreal_0(X2)), inference(split_conjunct,[status(thm)],[c_0_118])).
cnf(c_0_124, plain, (k1_funct_1(k6_surrealn,esk5_1(X1))=X1|~v2_surrealo(X1)|~v2_surreal0(X1)|~v1_finset_1(k12_surreal0(X1))), inference(spm,[status(thm)],[c_0_119, c_0_120])).
cnf(c_0_125, negated_conjecture, (k12_surreal0(k1_funct_1(k6_surrealn,esk1_0))=k4_ordinal1|r1_xxreal_0(esk5_1(k1_funct_1(k6_surrealn,esk1_0)),esk1_0)|r1_xxreal_0(esk1_0,esk5_1(k1_funct_1(k6_surrealn,esk1_0)))|~v2_surrealo(k1_funct_1(k6_surrealn,esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121, c_0_122]), c_0_109])])).
cnf(c_0_126, plain, (r5_surreal0(X1,k1_funct_1(k6_surrealn,X2))|~v2_surrealo(X1)|~v2_surreal0(X1)|~r1_xxreal_0(esk5_1(X1),X2)|~v1_finset_1(k12_surreal0(X1))|~v1_xreal_0(X2)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_123, c_0_124]), c_0_115])).
cnf(c_0_127, negated_conjecture, (k12_surreal0(k1_funct_1(k6_surrealn,esk1_0))=k4_ordinal1|r1_xxreal_0(esk1_0,esk5_1(k1_funct_1(k6_surrealn,esk1_0)))|r1_xxreal_0(esk5_1(k1_funct_1(k6_surrealn,esk1_0)),esk1_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125, c_0_48]), c_0_87])])).
cnf(c_0_128, negated_conjecture, (k12_surreal0(k1_funct_1(k6_surrealn,esk1_0))=k4_ordinal1|r5_surreal0(k1_funct_1(k6_surrealn,esk1_0),k1_funct_1(k6_surrealn,esk1_0))|r1_xxreal_0(esk1_0,esk5_1(k1_funct_1(k6_surrealn,esk1_0)))|~v2_surrealo(k1_funct_1(k6_surrealn,esk1_0))), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_126, c_0_127]), c_0_109]), c_0_87])]), c_0_122])).
fof(c_0_129, plain, ![X80, X81]:(~v1_xxreal_0(X80)|(~v1_xxreal_0(X81)|(~r1_xxreal_0(X80,X81)|~r1_xxreal_0(X81,X80)|X80=X81))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t1_xxreal_0])])])).
cnf(c_0_130, plain, (r1_xxreal_0(X1,X2)|~r5_surreal0(k1_funct_1(k6_surrealn,X1),k1_funct_1(k6_surrealn,X2))|~v1_xreal_0(X1)|~v1_xreal_0(X2)), inference(split_conjunct,[status(thm)],[c_0_118])).
cnf(c_0_131, plain, (r5_surreal0(k1_funct_1(k6_surrealn,X1),X2)|~v2_surrealo(X2)|~v2_surreal0(X2)|~r1_xxreal_0(X1,esk5_1(X2))|~v1_finset_1(k12_surreal0(X2))|~v1_xreal_0(X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_123, c_0_124]), c_0_115])).
cnf(c_0_132, negated_conjecture, (k12_surreal0(k1_funct_1(k6_surrealn,esk1_0))=k4_ordinal1|r5_surreal0(k1_funct_1(k6_surrealn,esk1_0),k1_funct_1(k6_surrealn,esk1_0))|r1_xxreal_0(esk1_0,esk5_1(k1_funct_1(k6_surrealn,esk1_0)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128, c_0_48]), c_0_87])])).
cnf(c_0_133, plain, (X1=X2|~v1_xxreal_0(X1)|~v1_xxreal_0(X2)|~r1_xxreal_0(X1,X2)|~r1_xxreal_0(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_129])).
cnf(c_0_134, plain, (r1_xxreal_0(esk5_1(X1),X2)|~r5_surreal0(X1,k1_funct_1(k6_surrealn,X2))|~v2_surrealo(X1)|~v2_surreal0(X1)|~v1_finset_1(k12_surreal0(X1))|~v1_xreal_0(X2)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_130, c_0_124]), c_0_115])).
cnf(c_0_135, negated_conjecture, (k12_surreal0(k1_funct_1(k6_surrealn,esk1_0))=k4_ordinal1|r5_surreal0(k1_funct_1(k6_surrealn,esk1_0),k1_funct_1(k6_surrealn,esk1_0))|~v2_surrealo(k1_funct_1(k6_surrealn,esk1_0))), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_131, c_0_132]), c_0_109]), c_0_87])]), c_0_122])).
cnf(c_0_136, plain, (X1=esk5_1(X2)|~r5_surreal0(X2,k1_funct_1(k6_surrealn,X1))|~v2_surrealo(X2)|~v2_surreal0(X2)|~r1_xxreal_0(X1,esk5_1(X2))|~v1_xxreal_0(esk5_1(X2))|~v1_finset_1(k12_surreal0(X2))|~v1_xreal_0(X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_133, c_0_134]), c_0_89])).
cnf(c_0_137, negated_conjecture, (k12_surreal0(k1_funct_1(k6_surrealn,esk1_0))=k4_ordinal1|r5_surreal0(k1_funct_1(k6_surrealn,esk1_0),k1_funct_1(k6_surrealn,esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_135, c_0_48]), c_0_87])])).
cnf(c_0_138, negated_conjecture, (k12_surreal0(k1_funct_1(k6_surrealn,esk1_0))=k4_ordinal1|esk5_1(k1_funct_1(k6_surrealn,esk1_0))=esk1_0|~v2_surrealo(k1_funct_1(k6_surrealn,esk1_0))|~r1_xxreal_0(esk1_0,esk5_1(k1_funct_1(k6_surrealn,esk1_0)))|~v1_xxreal_0(esk5_1(k1_funct_1(k6_surrealn,esk1_0)))), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136, c_0_137]), c_0_109]), c_0_87])]), c_0_122])).
cnf(c_0_139, negated_conjecture, (esk5_1(k1_funct_1(k6_surrealn,esk1_0))=esk1_0|k12_surreal0(k1_funct_1(k6_surrealn,esk1_0))=k4_ordinal1|~r1_xxreal_0(esk1_0,esk5_1(k1_funct_1(k6_surrealn,esk1_0)))|~v1_xxreal_0(esk5_1(k1_funct_1(k6_surrealn,esk1_0)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_138, c_0_48]), c_0_87])])).
cnf(c_0_140, negated_conjecture, (k12_surreal0(k1_funct_1(k6_surrealn,esk1_0))=k4_ordinal1|esk5_1(k1_funct_1(k6_surrealn,esk1_0))=esk1_0|~r1_xxreal_0(esk1_0,esk5_1(k1_funct_1(k6_surrealn,esk1_0)))|~v1_xreal_0(esk5_1(k1_funct_1(k6_surrealn,esk1_0)))), inference(spm,[status(thm)],[c_0_139, c_0_89])).
cnf(c_0_141, negated_conjecture, (esk5_1(k1_funct_1(k6_surrealn,esk1_0))=esk1_0|k12_surreal0(k1_funct_1(k6_surrealn,esk1_0))=k4_ordinal1|~v2_surrealo(k1_funct_1(k6_surrealn,esk1_0))|~r1_xxreal_0(esk1_0,esk5_1(k1_funct_1(k6_surrealn,esk1_0)))), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_140, c_0_115]), c_0_109])]), c_0_122])).
cnf(c_0_142, negated_conjecture, (k12_surreal0(k1_funct_1(k6_surrealn,esk1_0))=k4_ordinal1|esk5_1(k1_funct_1(k6_surrealn,esk1_0))=esk1_0|~r1_xxreal_0(esk1_0,esk5_1(k1_funct_1(k6_surrealn,esk1_0)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_141, c_0_48]), c_0_87])])).
cnf(c_0_143, plain, (r1_xxreal_0(X1,esk5_1(X2))|~r5_surreal0(k1_funct_1(k6_surrealn,X1),X2)|~v2_surrealo(X2)|~v2_surreal0(X2)|~v1_finset_1(k12_surreal0(X2))|~v1_xreal_0(X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_130, c_0_124]), c_0_115])).
cnf(c_0_144, negated_conjecture, (esk5_1(k1_funct_1(k6_surrealn,esk1_0))=esk1_0|k12_surreal0(k1_funct_1(k6_surrealn,esk1_0))=k4_ordinal1|~v2_surrealo(k1_funct_1(k6_surrealn,esk1_0))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_142, c_0_143]), c_0_109]), c_0_87])]), c_0_122]), c_0_137])).
cnf(c_0_145, negated_conjecture, (k12_surreal0(k1_funct_1(k6_surrealn,esk1_0))=k4_ordinal1|esk5_1(k1_funct_1(k6_surrealn,esk1_0))=esk1_0), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_144, c_0_48]), c_0_87])])).
cnf(c_0_146, negated_conjecture, (v1_rat_1(esk1_0)|k12_surreal0(k1_funct_1(k6_surrealn,esk1_0))!=k4_ordinal1), inference(split_conjunct,[status(thm)],[c_0_82])).
cnf(c_0_147, negated_conjecture, (v1_rat_1(esk1_0)|~v2_surrealo(k1_funct_1(k6_surrealn,esk1_0))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105, c_0_145]), c_0_109])]), c_0_122]), c_0_146])).
cnf(c_0_148, negated_conjecture, (k12_surreal0(k1_funct_1(k6_surrealn,esk1_0))=k4_ordinal1|~v1_rat_1(esk1_0)|~v1_surrealn(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_82])).
cnf(c_0_149, negated_conjecture, (v1_rat_1(esk1_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147, c_0_48]), c_0_87])])).
cnf(c_0_150, negated_conjecture, (k12_surreal0(k1_funct_1(k6_surrealn,esk1_0))=k4_ordinal1|~v1_surrealn(esk1_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_148, c_0_149])])).
cnf(c_0_151, negated_conjecture, (v1_surrealn(esk1_0)|k12_surreal0(k1_funct_1(k6_surrealn,esk1_0))!=k4_ordinal1), inference(split_conjunct,[status(thm)],[c_0_82])).
cnf(c_0_152, negated_conjecture, (k12_surreal0(k1_funct_1(k6_surrealn,esk1_0))=k4_ordinal1|~v2_surrealo(k1_funct_1(k6_surrealn,esk1_0))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113, c_0_145]), c_0_109])]), c_0_122]), c_0_150])).
cnf(c_0_153, plain, (v1_finset_1(k12_surreal0(X1))|~v1_rat_1(X2)|~v1_surrealn(X2)|X1!=k1_funct_1(k4_surrealn,X2)|~v2_surreal0(X1)), inference(split_conjunct,[status(thm)],[c_0_90])).
cnf(c_0_154, negated_conjecture, (k1_funct_1(k4_surrealn,esk1_0)=k1_funct_1(k6_surrealn,esk1_0)|k12_surreal0(k1_funct_1(k6_surrealn,esk1_0))!=k4_ordinal1), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_112, c_0_151]), c_0_146])).
cnf(c_0_155, negated_conjecture, (k12_surreal0(k1_funct_1(k6_surrealn,esk1_0))=k4_ordinal1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_152, c_0_48]), c_0_87])])).
fof(c_0_156, plain, ~v1_finset_1(k4_ordinal1), inference(fof_simplification,[status(thm)],[fc9_card_1])).
cnf(c_0_157, plain, (v1_finset_1(k12_surreal0(k1_funct_1(k4_surrealn,X1)))|~v2_surreal0(k1_funct_1(k4_surrealn,X1))|~v1_surrealn(X1)|~v1_rat_1(X1)), inference(er,[status(thm)],[c_0_153])).
cnf(c_0_158, negated_conjecture, (k1_funct_1(k4_surrealn,esk1_0)=k1_funct_1(k6_surrealn,esk1_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_154, c_0_155])])).
cnf(c_0_159, negated_conjecture, (v1_surrealn(esk1_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_151, c_0_155])])).
cnf(c_0_160, plain, (~v1_finset_1(k4_ordinal1)), inference(split_conjunct,[status(thm)],[c_0_156])).
cnf(c_0_161, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_157, c_0_158]), c_0_155]), c_0_109]), c_0_159]), c_0_149])]), c_0_160]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 162
# Proof object clause steps            : 105
# Proof object formula steps           : 57
# Proof object conjectures             : 37
# Proof object clause conjectures      : 34
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 40
# Proof object initial formulas used   : 28
# Proof object generating inferences   : 52
# Proof object simplifying inferences  : 98
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 28
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 56
# Removed in clause preprocessing      : 1
# Initial clauses in saturation        : 55
# Processed clauses                    : 337
# ...of these trivial                  : 1
# ...subsumed                          : 52
# ...remaining for further processing  : 284
# Other redundant clauses eliminated   : 13
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 42
# Backward-rewritten                   : 32
# Generated clauses                    : 550
# ...of the previous two non-trivial   : 516
# Contextual simplify-reflections      : 79
# Paramodulations                      : 536
# Factorizations                       : 0
# NegExts                              : 0
# Equation resolutions                 : 14
# 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  : 142
#    Positive orientable unit clauses  : 14
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 3
#    Non-unit-clauses                  : 125
# Current number of unprocessed clauses: 278
# ...number of literals in the above   : 1649
# Current number of archived formulas  : 0
# Current number of archived clauses   : 129
# Clause-clause subsumption calls (NU) : 7142
# Rec. Clause-clause subsumption calls : 2453
# Non-unit clause-clause subsumptions  : 160
# Unit Clause-clause subsumption calls : 391
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 5
# BW rewrite match successes           : 5
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 18812

# -------------------------------------------------
# User time                : 0.038 s
# System time              : 0.000 s
# Total time               : 0.038 s
# Maximum resident set size: 3528 pages
