# 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       : 0.021 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(t4_subset, axiom, ![X1, X2, X3]:((r2_tarski(X1,X2)&m1_subset_1(X2,k1_zfmisc_1(X3)))=>m1_subset_1(X1,X3)), file('surrealc/surrealc__t1_surrealc', t4_subset)).
fof(t3_subset, axiom, ![X1, X2]:(m1_subset_1(X1,k1_zfmisc_1(X2))<=>r1_tarski(X1,X2)), file('surrealc/surrealc__t1_surrealc', t3_subset)).
fof(d18_surreal0, axiom, ![X1]:(v2_surreal0(X1)=>![X2]:(v3_ordinal1(X2)=>(X2=k12_surreal0(X1)<=>(r2_tarski(X1,k10_surreal0(X2))&![X3]:(v3_ordinal1(X3)=>(r2_tarski(X1,k10_surreal0(X3))=>r1_ordinal1(X2,X3))))))), file('surrealc/surrealc__t1_surrealc', d18_surreal0)).
fof(dt_k12_surreal0, axiom, ![X1]:(v2_surreal0(X1)=>v3_ordinal1(k12_surreal0(X1))), file('surrealc/surrealc__t1_surrealc', dt_k12_surreal0)).
fof(t35_surreal0, axiom, ![X1]:(v3_ordinal1(X1)=>![X2]:(v3_ordinal1(X2)=>(r1_ordinal1(X1,X2)=>r1_tarski(k10_surreal0(X1),k10_surreal0(X2))))), file('surrealc/surrealc__t1_surrealc', t35_surreal0)).
fof(redefinition_r1_ordinal1, axiom, ![X1, X2]:((v3_ordinal1(X1)&v3_ordinal1(X2))=>(r1_ordinal1(X1,X2)<=>r1_tarski(X1,X2))), file('surrealc/surrealc__t1_surrealc', redefinition_r1_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('surrealc/surrealc__t1_surrealc', d5_surrealo)).
fof(dt_k2_surrealo, axiom, ![X1]:(v2_surreal0(X1)=>v3_ordinal1(k2_surrealo(X1))), file('surrealc/surrealc__t1_surrealc', dt_k2_surrealo)).
fof(dt_k10_surreal0, axiom, ![X1]:(v3_ordinal1(X1)=>(~(v1_xboole_0(k10_surreal0(X1)))&m1_subset_1(k10_surreal0(X1),k1_zfmisc_1(k3_surreal0(X1))))), file('surrealc/surrealc__t1_surrealc', dt_k10_surreal0)).
fof(t1_xboole_1, axiom, ![X1, X2, X3]:((r1_tarski(X1,X2)&r1_tarski(X2,X3))=>r1_tarski(X1,X3)), file('surrealc/surrealc__t1_surrealc', t1_xboole_1)).
fof(t2_subset, axiom, ![X1, X2]:(m1_subset_1(X1,X2)=>(v1_xboole_0(X2)|r2_tarski(X1,X2))), file('surrealc/surrealc__t1_surrealc', t2_subset)).
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('surrealc/surrealc__t1_surrealc', d10_surrealo)).
fof(t49_surrealn, axiom, ![X1]:(v1_xreal_0(X1)=>r1_ordinal1(k12_surreal0(k1_funct_1(k5_surrealn,X1)),k4_ordinal1)), file('surrealc/surrealc__t1_surrealc', t49_surrealn)).
fof(fc6_ordinal1, axiom, (~(v1_xboole_0(k4_ordinal1))&v3_ordinal1(k4_ordinal1)), file('surrealc/surrealc__t1_surrealc', fc6_ordinal1)).
fof(fc12_surrealn, axiom, ![X1]:(v1_xreal_0(X1)=>v2_surreal0(k1_funct_1(k5_surrealn,X1))), file('surrealc/surrealc__t1_surrealc', fc12_surrealn)).
fof(symmetry_r2_surrealo, axiom, ![X1, X2]:((v2_surreal0(X1)&v2_surreal0(X2))=>(r2_surrealo(X1,X2)=>r2_surrealo(X2,X1))), file('surrealc/surrealc__t1_surrealc', 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('surrealc/surrealc__t1_surrealc', d7_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('surrealc/surrealc__t1_surrealc', dt_k6_surrealn)).
fof(fc13_surrealn, axiom, ![X1]:(v1_xreal_0(X1)=>v2_surreal0(k1_funct_1(k6_surrealn,X1))), file('surrealc/surrealc__t1_surrealc', fc13_surrealn)).
fof(t48_surrealo, axiom, ![X1]:(v2_surreal0(X1)=>((v2_surreal0(X1)&v2_surrealo(X1))=>k12_surreal0(X1)=k2_surrealo(X1))), file('surrealc/surrealc__t1_surrealc', t48_surrealo)).
fof(fc14_surrealn, axiom, ![X1]:(v1_xreal_0(X1)=>v2_surrealo(k1_funct_1(k6_surrealn,X1))), file('surrealc/surrealc__t1_surrealc', fc14_surrealn)).
fof(t1_surrealc, conjecture, ![X1]:(v1_xreal_0(X1)=>r2_tarski(k1_funct_1(k6_surrealn,X1),k10_surreal0(k4_ordinal1))), file('surrealc/surrealc__t1_surrealc', t1_surrealc)).
fof(c_0_22, plain, ![X77, X78, X79]:(~r2_tarski(X77,X78)|~m1_subset_1(X78,k1_zfmisc_1(X79))|m1_subset_1(X77,X79)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t4_subset])])).
fof(c_0_23, plain, ![X73, X74]:((~m1_subset_1(X73,k1_zfmisc_1(X74))|r1_tarski(X73,X74))&(~r1_tarski(X73,X74)|m1_subset_1(X73,k1_zfmisc_1(X74)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t3_subset])])).
fof(c_0_24, plain, ![X43, X44, X45]:(((r2_tarski(X43,k10_surreal0(X44))|X44!=k12_surreal0(X43)|~v3_ordinal1(X44)|~v2_surreal0(X43))&(~v3_ordinal1(X45)|(~r2_tarski(X43,k10_surreal0(X45))|r1_ordinal1(X44,X45))|X44!=k12_surreal0(X43)|~v3_ordinal1(X44)|~v2_surreal0(X43)))&((v3_ordinal1(esk2_2(X43,X44))|~r2_tarski(X43,k10_surreal0(X44))|X44=k12_surreal0(X43)|~v3_ordinal1(X44)|~v2_surreal0(X43))&((r2_tarski(X43,k10_surreal0(esk2_2(X43,X44)))|~r2_tarski(X43,k10_surreal0(X44))|X44=k12_surreal0(X43)|~v3_ordinal1(X44)|~v2_surreal0(X43))&(~r1_ordinal1(X44,esk2_2(X43,X44))|~r2_tarski(X43,k10_surreal0(X44))|X44=k12_surreal0(X43)|~v3_ordinal1(X44)|~v2_surreal0(X43))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d18_surreal0])])])])])).
fof(c_0_25, plain, ![X57]:(~v2_surreal0(X57)|v3_ordinal1(k12_surreal0(X57))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k12_surreal0])])).
cnf(c_0_26, plain, (m1_subset_1(X1,X3)|~r2_tarski(X1,X2)|~m1_subset_1(X2,k1_zfmisc_1(X3))), inference(split_conjunct,[status(thm)],[c_0_22])).
cnf(c_0_27, plain, (m1_subset_1(X1,k1_zfmisc_1(X2))|~r1_tarski(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_23])).
fof(c_0_28, plain, ![X71, X72]:(~v3_ordinal1(X71)|(~v3_ordinal1(X72)|(~r1_ordinal1(X71,X72)|r1_tarski(k10_surreal0(X71),k10_surreal0(X72))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t35_surreal0])])])).
fof(c_0_29, plain, ![X62, X63]:((~r1_ordinal1(X62,X63)|r1_tarski(X62,X63)|(~v3_ordinal1(X62)|~v3_ordinal1(X63)))&(~r1_tarski(X62,X63)|r1_ordinal1(X62,X63)|(~v3_ordinal1(X62)|~v3_ordinal1(X63)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_r1_ordinal1])])])).
cnf(c_0_30, plain, (r1_ordinal1(X3,X1)|~v3_ordinal1(X1)|~r2_tarski(X2,k10_surreal0(X1))|X3!=k12_surreal0(X2)|~v3_ordinal1(X3)|~v2_surreal0(X2)), inference(split_conjunct,[status(thm)],[c_0_24])).
cnf(c_0_31, plain, (v3_ordinal1(k12_surreal0(X1))|~v2_surreal0(X1)), inference(split_conjunct,[status(thm)],[c_0_25])).
fof(c_0_32, plain, ![X47, X48, X50, X51]:(((((v2_surreal0(esk3_2(X47,X48))|X48!=k2_surrealo(X47)|~v3_ordinal1(X48)|~v2_surreal0(X47))&(k12_surreal0(esk3_2(X47,X48))=X48|X48!=k2_surrealo(X47)|~v3_ordinal1(X48)|~v2_surreal0(X47)))&(r2_surrealo(esk3_2(X47,X48),X47)|X48!=k2_surrealo(X47)|~v3_ordinal1(X48)|~v2_surreal0(X47)))&(~v2_surreal0(X50)|(~r2_surrealo(X50,X47)|r1_ordinal1(X48,k12_surreal0(X50)))|X48!=k2_surrealo(X47)|~v3_ordinal1(X48)|~v2_surreal0(X47)))&((v2_surreal0(esk4_2(X47,X48))|(~v2_surreal0(X51)|k12_surreal0(X51)!=X48|~r2_surrealo(X51,X47))|X48=k2_surrealo(X47)|~v3_ordinal1(X48)|~v2_surreal0(X47))&((r2_surrealo(esk4_2(X47,X48),X47)|(~v2_surreal0(X51)|k12_surreal0(X51)!=X48|~r2_surrealo(X51,X47))|X48=k2_surrealo(X47)|~v3_ordinal1(X48)|~v2_surreal0(X47))&(~r1_ordinal1(X48,k12_surreal0(esk4_2(X47,X48)))|(~v2_surreal0(X51)|k12_surreal0(X51)!=X48|~r2_surrealo(X51,X47))|X48=k2_surrealo(X47)|~v3_ordinal1(X48)|~v2_surreal0(X47))))), 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, ![X58]:(~v2_surreal0(X58)|v3_ordinal1(k2_surrealo(X58))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k2_surrealo])])).
cnf(c_0_34, plain, (m1_subset_1(X1,X2)|~r1_tarski(X3,X2)|~r2_tarski(X1,X3)), inference(spm,[status(thm)],[c_0_26, c_0_27])).
cnf(c_0_35, plain, (r1_tarski(k10_surreal0(X1),k10_surreal0(X2))|~v3_ordinal1(X1)|~v3_ordinal1(X2)|~r1_ordinal1(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_28])).
cnf(c_0_36, plain, (r2_tarski(X1,k10_surreal0(X2))|X2!=k12_surreal0(X1)|~v3_ordinal1(X2)|~v2_surreal0(X1)), inference(split_conjunct,[status(thm)],[c_0_24])).
fof(c_0_37, plain, ![X1]:(v3_ordinal1(X1)=>(~v1_xboole_0(k10_surreal0(X1))&m1_subset_1(k10_surreal0(X1),k1_zfmisc_1(k3_surreal0(X1))))), inference(fof_simplification,[status(thm)],[dt_k10_surreal0])).
fof(c_0_38, plain, ![X66, X67, X68]:(~r1_tarski(X66,X67)|~r1_tarski(X67,X68)|r1_tarski(X66,X68)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t1_xboole_1])])).
cnf(c_0_39, 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_40, plain, (r1_ordinal1(k12_surreal0(X1),X2)|~v3_ordinal1(X2)|~v2_surreal0(X1)|~r2_tarski(X1,k10_surreal0(X2))), inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_30]), 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])).
cnf(c_0_42, plain, (v3_ordinal1(k2_surrealo(X1))|~v2_surreal0(X1)), inference(split_conjunct,[status(thm)],[c_0_33])).
fof(c_0_43, plain, ![X69, X70]:(~m1_subset_1(X69,X70)|(v1_xboole_0(X70)|r2_tarski(X69,X70))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_subset])])).
cnf(c_0_44, plain, (m1_subset_1(X1,k10_surreal0(X2))|~r1_ordinal1(X3,X2)|~v3_ordinal1(X2)|~v3_ordinal1(X3)|~r2_tarski(X1,k10_surreal0(X3))), inference(spm,[status(thm)],[c_0_34, c_0_35])).
cnf(c_0_45, plain, (r2_tarski(X1,k10_surreal0(k12_surreal0(X1)))|~v2_surreal0(X1)), inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_36]), c_0_31])).
fof(c_0_46, plain, ![X56]:((~v1_xboole_0(k10_surreal0(X56))|~v3_ordinal1(X56))&(m1_subset_1(k10_surreal0(X56),k1_zfmisc_1(k3_surreal0(X56)))|~v3_ordinal1(X56))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_37])])])).
fof(c_0_47, plain, ![X41, X42]:(((r2_surrealo(X42,X41)|X42!=k6_surrealo(X41)|~v2_surreal0(X42)|~v2_surreal0(X41))&(r2_tarski(X42,k1_funct_1(k5_surrealo(k2_surrealo(X41)),k2_surrealo(X41)))|X42!=k6_surrealo(X41)|~v2_surreal0(X42)|~v2_surreal0(X41)))&(~r2_surrealo(X42,X41)|~r2_tarski(X42,k1_funct_1(k5_surrealo(k2_surrealo(X41)),k2_surrealo(X41)))|X42=k6_surrealo(X41)|~v2_surreal0(X42)|~v2_surreal0(X41))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d10_surrealo])])])])).
cnf(c_0_48, plain, (r1_tarski(X1,X3)|~r1_tarski(X1,X2)|~r1_tarski(X2,X3)), inference(split_conjunct,[status(thm)],[c_0_38])).
cnf(c_0_49, plain, (r1_tarski(k12_surreal0(X1),X2)|~v3_ordinal1(X2)|~v2_surreal0(X1)|~r2_tarski(X1,k10_surreal0(X2))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_39, c_0_40]), c_0_31])).
cnf(c_0_50, plain, (r1_ordinal1(k2_surrealo(X1),k12_surreal0(X2))|~r2_surrealo(X2,X1)|~v2_surreal0(X1)|~v2_surreal0(X2)), inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_41]), c_0_42])).
cnf(c_0_51, plain, (v1_xboole_0(X2)|r2_tarski(X1,X2)|~m1_subset_1(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_43])).
cnf(c_0_52, plain, (m1_subset_1(X1,k10_surreal0(X2))|~r1_ordinal1(k12_surreal0(X1),X2)|~v3_ordinal1(X2)|~v2_surreal0(X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_44, c_0_45]), c_0_31])).
cnf(c_0_53, plain, (~v1_xboole_0(k10_surreal0(X1))|~v3_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_46])).
fof(c_0_54, plain, ![X76]:(~v1_xreal_0(X76)|r1_ordinal1(k12_surreal0(k1_funct_1(k5_surrealn,X76)),k4_ordinal1)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t49_surrealn])])).
fof(c_0_55, plain, (~v1_xboole_0(k4_ordinal1)&v3_ordinal1(k4_ordinal1)), inference(fof_simplification,[status(thm)],[fc6_ordinal1])).
fof(c_0_56, plain, ![X59]:(~v1_xreal_0(X59)|v2_surreal0(k1_funct_1(k5_surrealn,X59))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc12_surrealn])])).
fof(c_0_57, plain, ![X64, X65]:(~v2_surreal0(X64)|~v2_surreal0(X65)|(~r2_surrealo(X64,X65)|r2_surrealo(X65,X64))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[symmetry_r2_surrealo])])).
cnf(c_0_58, plain, (r2_surrealo(X1,X2)|X1!=k6_surrealo(X2)|~v2_surreal0(X1)|~v2_surreal0(X2)), inference(split_conjunct,[status(thm)],[c_0_47])).
fof(c_0_59, plain, ![X53, X54]:((X53!=k6_surrealn|(~v1_xreal_0(X54)|k1_funct_1(X53,X54)=k6_surrealo(k1_funct_1(k5_surrealn,X54)))|(~v1_relat_1(X53)|~v4_relat_1(X53,k1_numbers)|~v1_funct_1(X53)|~v1_partfun1(X53,k1_numbers)))&((v1_xreal_0(esk5_1(X53))|X53=k6_surrealn|(~v1_relat_1(X53)|~v4_relat_1(X53,k1_numbers)|~v1_funct_1(X53)|~v1_partfun1(X53,k1_numbers)))&(k1_funct_1(X53,esk5_1(X53))!=k6_surrealo(k1_funct_1(k5_surrealn,esk5_1(X53)))|X53=k6_surrealn|(~v1_relat_1(X53)|~v4_relat_1(X53,k1_numbers)|~v1_funct_1(X53)|~v1_partfun1(X53,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_60, plain, (r1_tarski(X1,X2)|~r1_tarski(X1,k12_surreal0(X3))|~v3_ordinal1(X2)|~v2_surreal0(X3)|~r2_tarski(X3,k10_surreal0(X2))), inference(spm,[status(thm)],[c_0_48, c_0_49])).
cnf(c_0_61, plain, (r1_tarski(k2_surrealo(X1),k12_surreal0(X2))|~r2_surrealo(X2,X1)|~v2_surreal0(X1)|~v2_surreal0(X2)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_39, c_0_50]), c_0_42]), c_0_31])).
cnf(c_0_62, plain, (r2_tarski(X1,k10_surreal0(X2))|~r1_ordinal1(k12_surreal0(X1),X2)|~v3_ordinal1(X2)|~v2_surreal0(X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_51, c_0_52]), c_0_53])).
cnf(c_0_63, plain, (r1_ordinal1(k12_surreal0(k1_funct_1(k5_surrealn,X1)),k4_ordinal1)|~v1_xreal_0(X1)), inference(split_conjunct,[status(thm)],[c_0_54])).
cnf(c_0_64, plain, (v3_ordinal1(k4_ordinal1)), inference(split_conjunct,[status(thm)],[c_0_55])).
cnf(c_0_65, plain, (v2_surreal0(k1_funct_1(k5_surrealn,X1))|~v1_xreal_0(X1)), inference(split_conjunct,[status(thm)],[c_0_56])).
cnf(c_0_66, plain, (r2_surrealo(X2,X1)|~v2_surreal0(X1)|~v2_surreal0(X2)|~r2_surrealo(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_57])).
cnf(c_0_67, plain, (r2_surrealo(k6_surrealo(X1),X1)|~v2_surreal0(k6_surrealo(X1))|~v2_surreal0(X1)), inference(er,[status(thm)],[c_0_58])).
cnf(c_0_68, 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_59])).
cnf(c_0_69, plain, (v1_partfun1(k6_surrealn,k1_numbers)), inference(split_conjunct,[status(thm)],[dt_k6_surrealn])).
cnf(c_0_70, plain, (v1_funct_1(k6_surrealn)), inference(split_conjunct,[status(thm)],[dt_k6_surrealn])).
cnf(c_0_71, plain, (v4_relat_1(k6_surrealn,k1_numbers)), inference(split_conjunct,[status(thm)],[dt_k6_surrealn])).
cnf(c_0_72, plain, (v1_relat_1(k6_surrealn)), inference(split_conjunct,[status(thm)],[dt_k6_surrealn])).
fof(c_0_73, plain, ![X60]:(~v1_xreal_0(X60)|v2_surreal0(k1_funct_1(k6_surrealn,X60))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc13_surrealn])])).
fof(c_0_74, plain, ![X75]:(~v2_surreal0(X75)|(~v2_surreal0(X75)|~v2_surrealo(X75)|k12_surreal0(X75)=k2_surrealo(X75))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t48_surrealo])])).
cnf(c_0_75, plain, (r1_tarski(k2_surrealo(X1),X2)|~v3_ordinal1(X2)|~r2_surrealo(X3,X1)|~v2_surreal0(X3)|~v2_surreal0(X1)|~r2_tarski(X3,k10_surreal0(X2))), inference(spm,[status(thm)],[c_0_60, c_0_61])).
cnf(c_0_76, plain, (r2_tarski(k1_funct_1(k5_surrealn,X1),k10_surreal0(k4_ordinal1))|~v1_xreal_0(X1)), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62, c_0_63]), c_0_64])]), c_0_65])).
cnf(c_0_77, plain, (r2_surrealo(X1,k6_surrealo(X1))|~v2_surreal0(k6_surrealo(X1))|~v2_surreal0(X1)), inference(spm,[status(thm)],[c_0_66, c_0_67])).
cnf(c_0_78, 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_68]), c_0_69]), c_0_70]), c_0_71]), c_0_72])])).
cnf(c_0_79, plain, (v2_surreal0(k1_funct_1(k6_surrealn,X1))|~v1_xreal_0(X1)), inference(split_conjunct,[status(thm)],[c_0_73])).
cnf(c_0_80, plain, (k12_surreal0(X1)=k2_surrealo(X1)|~v2_surreal0(X1)|~v2_surreal0(X1)|~v2_surrealo(X1)), inference(split_conjunct,[status(thm)],[c_0_74])).
fof(c_0_81, plain, ![X61]:(~v1_xreal_0(X61)|v2_surrealo(k1_funct_1(k6_surrealn,X61))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc14_surrealn])])).
cnf(c_0_82, plain, (r1_tarski(k2_surrealo(X1),k4_ordinal1)|~r2_surrealo(k1_funct_1(k5_surrealn,X2),X1)|~v2_surreal0(X1)|~v1_xreal_0(X2)), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75, c_0_76]), c_0_64])]), c_0_65])).
cnf(c_0_83, 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_77, c_0_78]), c_0_65]), c_0_79])).
cnf(c_0_84, plain, (k12_surreal0(X1)=k2_surrealo(X1)|~v2_surreal0(X1)|~v2_surrealo(X1)), inference(cn,[status(thm)],[c_0_80])).
cnf(c_0_85, plain, (v2_surrealo(k1_funct_1(k6_surrealn,X1))|~v1_xreal_0(X1)), inference(split_conjunct,[status(thm)],[c_0_81])).
fof(c_0_86, negated_conjecture, ~(![X1]:(v1_xreal_0(X1)=>r2_tarski(k1_funct_1(k6_surrealn,X1),k10_surreal0(k4_ordinal1)))), inference(assume_negation,[status(cth)],[t1_surrealc])).
cnf(c_0_87, plain, (r1_ordinal1(X1,X2)|~r1_tarski(X1,X2)|~v3_ordinal1(X1)|~v3_ordinal1(X2)), inference(split_conjunct,[status(thm)],[c_0_29])).
cnf(c_0_88, plain, (r1_tarski(k2_surrealo(k1_funct_1(k6_surrealn,X1)),k4_ordinal1)|~v1_xreal_0(X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_82, c_0_83]), c_0_79])).
cnf(c_0_89, 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_84, c_0_85]), c_0_79])).
fof(c_0_90, negated_conjecture, (v1_xreal_0(esk1_0)&~r2_tarski(k1_funct_1(k6_surrealn,esk1_0),k10_surreal0(k4_ordinal1))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_86])])])).
cnf(c_0_91, plain, (r2_tarski(X1,k10_surreal0(X2))|~r1_tarski(k12_surreal0(X1),X2)|~v3_ordinal1(X2)|~v2_surreal0(X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_62, c_0_87]), c_0_31])).
cnf(c_0_92, plain, (r1_tarski(k12_surreal0(k1_funct_1(k6_surrealn,X1)),k4_ordinal1)|~v1_xreal_0(X1)), inference(spm,[status(thm)],[c_0_88, c_0_89])).
cnf(c_0_93, negated_conjecture, (~r2_tarski(k1_funct_1(k6_surrealn,esk1_0),k10_surreal0(k4_ordinal1))), inference(split_conjunct,[status(thm)],[c_0_90])).
cnf(c_0_94, plain, (r2_tarski(k1_funct_1(k6_surrealn,X1),k10_surreal0(k4_ordinal1))|~v1_xreal_0(X1)), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91, c_0_92]), c_0_64])]), c_0_79])).
cnf(c_0_95, negated_conjecture, (v1_xreal_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_90])).
cnf(c_0_96, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93, c_0_94]), c_0_95])]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 97
# Proof object clause steps            : 52
# Proof object formula steps           : 45
# Proof object conjectures             : 6
# Proof object clause conjectures      : 3
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 28
# Proof object initial formulas used   : 22
# Proof object generating inferences   : 18
# Proof object simplifying inferences  : 35
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 22
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 44
# Removed in clause preprocessing      : 0
# Initial clauses in saturation        : 44
# Processed clauses                    : 222
# ...of these trivial                  : 0
# ...subsumed                          : 24
# ...remaining for further processing  : 198
# Other redundant clauses eliminated   : 12
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 2
# Backward-rewritten                   : 0
# Generated clauses                    : 293
# ...of the previous two non-trivial   : 284
# Contextual simplify-reflections      : 45
# Paramodulations                      : 281
# Factorizations                       : 0
# NegExts                              : 0
# Equation resolutions                 : 12
# 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  : 140
#    Positive orientable unit clauses  : 8
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 2
#    Non-unit-clauses                  : 130
# Current number of unprocessed clauses: 143
# ...number of literals in the above   : 724
# Current number of archived formulas  : 0
# Current number of archived clauses   : 46
# Clause-clause subsumption calls (NU) : 3665
# Rec. Clause-clause subsumption calls : 1043
# Non-unit clause-clause subsumptions  : 71
# Unit Clause-clause subsumption calls : 2
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 0
# BW rewrite match successes           : 0
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 11045

# -------------------------------------------------
# User time                : 0.031 s
# System time              : 0.002 s
# Total time               : 0.033 s
# Maximum resident set size: 3380 pages
