# 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       : 0.019 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(d18_surreal0, axiom, ![X1]:(v2_surreal0(X1)=>![X2]:(v3_ordinal1(X2)=>(X2=k12_surreal0(X1)<=>(r2_tarski(X1,k10_surreal0(X2))&![X3]:(v3_ordinal1(X3)=>(r2_tarski(X1,k10_surreal0(X3))=>r1_ordinal1(X2,X3))))))), file('surrealn/surrealn__t4_surrealn', d18_surreal0)).
fof(t1_surrealn, axiom, ![X1]:(v7_ordinal1(X1)=>(r2_tarski(k1_funct_1(k1_surrealn,X1),k10_surreal0(X1))&r2_tarski(k1_funct_1(k1_surrealn,k4_xcmplx_0(X1)),k10_surreal0(X1)))), file('surrealn/surrealn__t4_surrealn', t1_surrealn)).
fof(cc6_ordinal1, axiom, ![X1]:(v7_ordinal1(X1)=>v3_ordinal1(X1)), file('surrealn/surrealn__t4_surrealn', cc6_ordinal1)).
fof(fc1_surrealn, axiom, ![X1]:(v1_int_1(X1)=>v2_surreal0(k1_funct_1(k1_surrealn,X1))), file('surrealn/surrealn__t4_surrealn', fc1_surrealn)).
fof(cc2_int_1, axiom, ![X1]:(v7_ordinal1(X1)=>v1_int_1(X1)), file('surrealn/surrealn__t4_surrealn', cc2_int_1)).
fof(t4_surrealn, conjecture, ![X1]:(v7_ordinal1(X1)=>(X1=k12_surreal0(k1_funct_1(k1_surrealn,X1))&X1=k12_surreal0(k1_funct_1(k1_surrealn,k4_xcmplx_0(X1))))), file('surrealn/surrealn__t4_surrealn', t4_surrealn)).
fof(t16_ordinal1, axiom, ![X1]:(v3_ordinal1(X1)=>![X2]:(v3_ordinal1(X2)=>(r1_ordinal1(X1,X2)|r2_tarski(X2,X1)))), file('surrealn/surrealn__t4_surrealn', t16_ordinal1)).
fof(t3_surrealn, axiom, ![X1]:(v1_int_1(X1)=>![X2]:(v1_int_1(X2)=>~((~(r1_xxreal_0(X2,X1))&r5_surreal0(k1_funct_1(k1_surrealn,X2),k1_funct_1(k1_surrealn,X1)))))), file('surrealn/surrealn__t4_surrealn', t3_surrealn)).
fof(redefinition_k5_card_1, axiom, ![X1]:(v7_ordinal1(X1)=>k5_card_1(X1)=k6_ordinal1(X1)), file('surrealn/surrealn__t4_surrealn', redefinition_k5_card_1)).
fof(d17_ordinal1, axiom, ![X1]:k6_ordinal1(X1)=X1, file('surrealn/surrealn__t4_surrealn', d17_ordinal1)).
fof(redefinition_r1_surrealo, axiom, ![X1, X2]:((v2_surreal0(X1)&v2_surreal0(X2))=>(r1_surrealo(X1,X2)<=>r5_surreal0(X1,X2))), file('surrealn/surrealn__t4_surrealn', redefinition_r1_surrealo)).
fof(dt_k5_card_1, axiom, ![X1]:(v7_ordinal1(X1)=>m1_subset_1(k5_card_1(X1),k1_zfmisc_1(k4_ordinal1))), file('surrealn/surrealn__t4_surrealn', dt_k5_card_1)).
fof(t2_surrealn, axiom, ![X1]:(v2_surreal0(X1)=>![X2]:(v7_ordinal1(X2)=>(r2_tarski(X1,k10_surreal0(X2))=>(r1_surrealo(k1_funct_1(k1_surrealn,k4_xcmplx_0(X2)),X1)&r1_surrealo(X1,k1_funct_1(k1_surrealn,X2)))))), file('surrealn/surrealn__t4_surrealn', t2_surrealn)).
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('surrealn/surrealn__t4_surrealn', t4_subset)).
fof(t44_nat_1, axiom, ![X1]:(v7_ordinal1(X1)=>![X2]:(v7_ordinal1(X2)=>(r2_hidden(X1,k5_card_1(X2))<=>~(r1_xxreal_0(X2,X1))))), file('surrealn/surrealn__t4_surrealn', t44_nat_1)).
fof(cc11_membered, axiom, ![X1]:(v6_membered(X1)=>![X2]:(m1_subset_1(X2,X1)=>v7_ordinal1(X2))), file('surrealn/surrealn__t4_surrealn', cc11_membered)).
fof(redefinition_r2_tarski, axiom, ![X1, X2]:(r2_tarski(X1,X2)<=>r2_hidden(X1,X2)), file('surrealn/surrealn__t4_surrealn', redefinition_r2_tarski)).
fof(fc6_membered, axiom, v6_membered(k4_ordinal1), file('surrealn/surrealn__t4_surrealn', fc6_membered)).
fof(fc3_int_1, axiom, ![X1]:(v1_int_1(X1)=>(v1_xcmplx_0(k4_xcmplx_0(X1))&v1_int_1(k4_xcmplx_0(X1)))), file('surrealn/surrealn__t4_surrealn', fc3_int_1)).
fof(t24_xreal_1, axiom, ![X1]:(v1_xreal_0(X1)=>![X2]:(v1_xreal_0(X2)=>(r1_xxreal_0(X1,X2)<=>r1_xxreal_0(k4_xcmplx_0(X2),k4_xcmplx_0(X1))))), file('surrealn/surrealn__t4_surrealn', t24_xreal_1)).
fof(cc2_xreal_0, axiom, ![X1]:(v7_ordinal1(X1)=>v1_xreal_0(X1)), file('surrealn/surrealn__t4_surrealn', cc2_xreal_0)).
fof(c_0_21, 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_22, plain, ![X57]:((r2_tarski(k1_funct_1(k1_surrealn,X57),k10_surreal0(X57))|~v7_ordinal1(X57))&(r2_tarski(k1_funct_1(k1_surrealn,k4_xcmplx_0(X57)),k10_surreal0(X57))|~v7_ordinal1(X57))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t1_surrealn])])])).
fof(c_0_23, plain, ![X41]:(~v7_ordinal1(X41)|v3_ordinal1(X41)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc6_ordinal1])])).
cnf(c_0_24, plain, (v3_ordinal1(esk2_2(X1,X2))|X2=k12_surreal0(X1)|~r2_tarski(X1,k10_surreal0(X2))|~v3_ordinal1(X2)|~v2_surreal0(X1)), inference(split_conjunct,[status(thm)],[c_0_21])).
cnf(c_0_25, plain, (r2_tarski(k1_funct_1(k1_surrealn,X1),k10_surreal0(X1))|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_22])).
cnf(c_0_26, plain, (v3_ordinal1(X1)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_23])).
fof(c_0_27, plain, ![X48]:(~v1_int_1(X48)|v2_surreal0(k1_funct_1(k1_surrealn,X48))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc1_surrealn])])).
fof(c_0_28, plain, ![X39]:(~v7_ordinal1(X39)|v1_int_1(X39)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc2_int_1])])).
fof(c_0_29, negated_conjecture, ~(![X1]:(v7_ordinal1(X1)=>(X1=k12_surreal0(k1_funct_1(k1_surrealn,X1))&X1=k12_surreal0(k1_funct_1(k1_surrealn,k4_xcmplx_0(X1)))))), inference(assume_negation,[status(cth)],[t4_surrealn])).
cnf(c_0_30, plain, (k12_surreal0(k1_funct_1(k1_surrealn,X1))=X1|v3_ordinal1(esk2_2(k1_funct_1(k1_surrealn,X1),X1))|~v2_surreal0(k1_funct_1(k1_surrealn,X1))|~v7_ordinal1(X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_24, c_0_25]), c_0_26])).
cnf(c_0_31, plain, (v2_surreal0(k1_funct_1(k1_surrealn,X1))|~v1_int_1(X1)), inference(split_conjunct,[status(thm)],[c_0_27])).
cnf(c_0_32, plain, (v1_int_1(X1)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_28])).
fof(c_0_33, negated_conjecture, (v7_ordinal1(esk1_0)&(esk1_0!=k12_surreal0(k1_funct_1(k1_surrealn,esk1_0))|esk1_0!=k12_surreal0(k1_funct_1(k1_surrealn,k4_xcmplx_0(esk1_0))))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_29])])])).
fof(c_0_34, plain, ![X55, X56]:(~v3_ordinal1(X55)|(~v3_ordinal1(X56)|(r1_ordinal1(X55,X56)|r2_tarski(X56,X55)))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t16_ordinal1])])])).
cnf(c_0_35, plain, (k12_surreal0(k1_funct_1(k1_surrealn,X1))=X1|v3_ordinal1(esk2_2(k1_funct_1(k1_surrealn,X1),X1))|~v7_ordinal1(X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_30, c_0_31]), c_0_32])).
cnf(c_0_36, negated_conjecture, (v7_ordinal1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_33])).
cnf(c_0_37, plain, (r1_ordinal1(X1,X2)|r2_tarski(X2,X1)|~v3_ordinal1(X1)|~v3_ordinal1(X2)), inference(split_conjunct,[status(thm)],[c_0_34])).
cnf(c_0_38, negated_conjecture, (k12_surreal0(k1_funct_1(k1_surrealn,esk1_0))=esk1_0|v3_ordinal1(esk2_2(k1_funct_1(k1_surrealn,esk1_0),esk1_0))), inference(spm,[status(thm)],[c_0_35, c_0_36])).
cnf(c_0_39, negated_conjecture, (k12_surreal0(k1_funct_1(k1_surrealn,esk1_0))=esk1_0|r1_ordinal1(X1,esk2_2(k1_funct_1(k1_surrealn,esk1_0),esk1_0))|r2_tarski(esk2_2(k1_funct_1(k1_surrealn,esk1_0),esk1_0),X1)|~v3_ordinal1(X1)), inference(spm,[status(thm)],[c_0_37, c_0_38])).
cnf(c_0_40, negated_conjecture, (k12_surreal0(k1_funct_1(k1_surrealn,esk1_0))=esk1_0|r1_ordinal1(X1,esk2_2(k1_funct_1(k1_surrealn,esk1_0),esk1_0))|r2_tarski(esk2_2(k1_funct_1(k1_surrealn,esk1_0),esk1_0),X1)|~v7_ordinal1(X1)), inference(spm,[status(thm)],[c_0_39, c_0_26])).
cnf(c_0_41, plain, (X1=k12_surreal0(X2)|~r1_ordinal1(X1,esk2_2(X2,X1))|~r2_tarski(X2,k10_surreal0(X1))|~v3_ordinal1(X1)|~v2_surreal0(X2)), inference(split_conjunct,[status(thm)],[c_0_21])).
cnf(c_0_42, negated_conjecture, (k12_surreal0(k1_funct_1(k1_surrealn,esk1_0))=esk1_0|r1_ordinal1(esk1_0,esk2_2(k1_funct_1(k1_surrealn,esk1_0),esk1_0))|r2_tarski(esk2_2(k1_funct_1(k1_surrealn,esk1_0),esk1_0),esk1_0)), inference(spm,[status(thm)],[c_0_40, c_0_36])).
fof(c_0_43, plain, ![X1]:(v1_int_1(X1)=>![X2]:(v1_int_1(X2)=>~((~r1_xxreal_0(X2,X1)&r5_surreal0(k1_funct_1(k1_surrealn,X2),k1_funct_1(k1_surrealn,X1)))))), inference(fof_simplification,[status(thm)],[t3_surrealn])).
fof(c_0_44, plain, ![X50]:(~v7_ordinal1(X50)|k5_card_1(X50)=k6_ordinal1(X50)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k5_card_1])])).
fof(c_0_45, plain, ![X42]:k6_ordinal1(X42)=X42, inference(variable_rename,[status(thm)],[d17_ordinal1])).
cnf(c_0_46, negated_conjecture, (k12_surreal0(k1_funct_1(k1_surrealn,esk1_0))=esk1_0|r2_tarski(esk2_2(k1_funct_1(k1_surrealn,esk1_0),esk1_0),esk1_0)|~r2_tarski(k1_funct_1(k1_surrealn,esk1_0),k10_surreal0(esk1_0))|~v2_surreal0(k1_funct_1(k1_surrealn,esk1_0))|~v3_ordinal1(esk1_0)), inference(spm,[status(thm)],[c_0_41, c_0_42])).
fof(c_0_47, plain, ![X62, X63]:(~v1_int_1(X62)|(~v1_int_1(X63)|(r1_xxreal_0(X63,X62)|~r5_surreal0(k1_funct_1(k1_surrealn,X63),k1_funct_1(k1_surrealn,X62))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_43])])])).
fof(c_0_48, plain, ![X51, X52]:((~r1_surrealo(X51,X52)|r5_surreal0(X51,X52)|(~v2_surreal0(X51)|~v2_surreal0(X52)))&(~r5_surreal0(X51,X52)|r1_surrealo(X51,X52)|(~v2_surreal0(X51)|~v2_surreal0(X52)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_r1_surrealo])])])).
cnf(c_0_49, plain, (r2_tarski(X1,k10_surreal0(esk2_2(X1,X2)))|X2=k12_surreal0(X1)|~r2_tarski(X1,k10_surreal0(X2))|~v3_ordinal1(X2)|~v2_surreal0(X1)), inference(split_conjunct,[status(thm)],[c_0_21])).
fof(c_0_50, plain, ![X47]:(~v7_ordinal1(X47)|m1_subset_1(k5_card_1(X47),k1_zfmisc_1(k4_ordinal1))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k5_card_1])])).
cnf(c_0_51, plain, (k5_card_1(X1)=k6_ordinal1(X1)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_44])).
cnf(c_0_52, plain, (k6_ordinal1(X1)=X1), inference(split_conjunct,[status(thm)],[c_0_45])).
cnf(c_0_53, negated_conjecture, (k12_surreal0(k1_funct_1(k1_surrealn,esk1_0))=esk1_0|r2_tarski(esk2_2(k1_funct_1(k1_surrealn,esk1_0),esk1_0),esk1_0)|~r2_tarski(k1_funct_1(k1_surrealn,esk1_0),k10_surreal0(esk1_0))|~v2_surreal0(k1_funct_1(k1_surrealn,esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46, c_0_26]), c_0_36])])).
cnf(c_0_54, plain, (r1_xxreal_0(X2,X1)|~v1_int_1(X1)|~v1_int_1(X2)|~r5_surreal0(k1_funct_1(k1_surrealn,X2),k1_funct_1(k1_surrealn,X1))), inference(split_conjunct,[status(thm)],[c_0_47])).
cnf(c_0_55, plain, (r5_surreal0(X1,X2)|~r1_surrealo(X1,X2)|~v2_surreal0(X1)|~v2_surreal0(X2)), inference(split_conjunct,[status(thm)],[c_0_48])).
fof(c_0_56, plain, ![X60, X61]:((r1_surrealo(k1_funct_1(k1_surrealn,k4_xcmplx_0(X61)),X60)|~r2_tarski(X60,k10_surreal0(X61))|~v7_ordinal1(X61)|~v2_surreal0(X60))&(r1_surrealo(X60,k1_funct_1(k1_surrealn,X61))|~r2_tarski(X60,k10_surreal0(X61))|~v7_ordinal1(X61)|~v2_surreal0(X60))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_surrealn])])])])).
cnf(c_0_57, plain, (k12_surreal0(k1_funct_1(k1_surrealn,X1))=X1|r2_tarski(k1_funct_1(k1_surrealn,X1),k10_surreal0(esk2_2(k1_funct_1(k1_surrealn,X1),X1)))|~v2_surreal0(k1_funct_1(k1_surrealn,X1))|~v7_ordinal1(X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_49, c_0_25]), c_0_26])).
fof(c_0_58, plain, ![X66, X67, X68]:(~r2_tarski(X66,X67)|~m1_subset_1(X67,k1_zfmisc_1(X68))|m1_subset_1(X66,X68)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t4_subset])])).
cnf(c_0_59, plain, (m1_subset_1(k5_card_1(X1),k1_zfmisc_1(k4_ordinal1))|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_50])).
cnf(c_0_60, plain, (k5_card_1(X1)=X1|~v7_ordinal1(X1)), inference(rw,[status(thm)],[c_0_51, c_0_52])).
cnf(c_0_61, negated_conjecture, (k12_surreal0(k1_funct_1(k1_surrealn,esk1_0))=esk1_0|r2_tarski(esk2_2(k1_funct_1(k1_surrealn,esk1_0),esk1_0),esk1_0)|~r2_tarski(k1_funct_1(k1_surrealn,esk1_0),k10_surreal0(esk1_0))|~v1_int_1(esk1_0)), inference(spm,[status(thm)],[c_0_53, c_0_31])).
fof(c_0_62, plain, ![X1]:(v7_ordinal1(X1)=>![X2]:(v7_ordinal1(X2)=>(r2_hidden(X1,k5_card_1(X2))<=>~r1_xxreal_0(X2,X1)))), inference(fof_simplification,[status(thm)],[t44_nat_1])).
cnf(c_0_63, plain, (r1_xxreal_0(X1,X2)|~r1_surrealo(k1_funct_1(k1_surrealn,X1),k1_funct_1(k1_surrealn,X2))|~v1_int_1(X1)|~v1_int_1(X2)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_54, c_0_55]), c_0_31]), c_0_31])).
cnf(c_0_64, plain, (r1_surrealo(X1,k1_funct_1(k1_surrealn,X2))|~r2_tarski(X1,k10_surreal0(X2))|~v7_ordinal1(X2)|~v2_surreal0(X1)), inference(split_conjunct,[status(thm)],[c_0_56])).
cnf(c_0_65, plain, (k12_surreal0(k1_funct_1(k1_surrealn,X1))=X1|r2_tarski(k1_funct_1(k1_surrealn,X1),k10_surreal0(esk2_2(k1_funct_1(k1_surrealn,X1),X1)))|~v7_ordinal1(X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_57, c_0_31]), c_0_32])).
cnf(c_0_66, 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_58])).
cnf(c_0_67, plain, (m1_subset_1(X1,k1_zfmisc_1(k4_ordinal1))|~v7_ordinal1(X1)), inference(spm,[status(thm)],[c_0_59, c_0_60])).
cnf(c_0_68, negated_conjecture, (k12_surreal0(k1_funct_1(k1_surrealn,esk1_0))=esk1_0|r2_tarski(esk2_2(k1_funct_1(k1_surrealn,esk1_0),esk1_0),esk1_0)|~r2_tarski(k1_funct_1(k1_surrealn,esk1_0),k10_surreal0(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61, c_0_32]), c_0_36])])).
fof(c_0_69, plain, ![X64, X65]:((~r2_hidden(X64,k5_card_1(X65))|~r1_xxreal_0(X65,X64)|~v7_ordinal1(X65)|~v7_ordinal1(X64))&(r1_xxreal_0(X65,X64)|r2_hidden(X64,k5_card_1(X65))|~v7_ordinal1(X65)|~v7_ordinal1(X64))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_62])])])])).
cnf(c_0_70, plain, (r1_xxreal_0(X1,X2)|~r2_tarski(k1_funct_1(k1_surrealn,X1),k10_surreal0(X2))|~v1_int_1(X1)|~v7_ordinal1(X2)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_63, c_0_64]), c_0_32]), c_0_31])).
cnf(c_0_71, negated_conjecture, (k12_surreal0(k1_funct_1(k1_surrealn,esk1_0))=esk1_0|r2_tarski(k1_funct_1(k1_surrealn,esk1_0),k10_surreal0(esk2_2(k1_funct_1(k1_surrealn,esk1_0),esk1_0)))), inference(spm,[status(thm)],[c_0_65, c_0_36])).
fof(c_0_72, plain, ![X37, X38]:(~v6_membered(X37)|(~m1_subset_1(X38,X37)|v7_ordinal1(X38))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc11_membered])])])).
cnf(c_0_73, plain, (m1_subset_1(X1,k4_ordinal1)|~r2_tarski(X1,X2)|~v7_ordinal1(X2)), inference(spm,[status(thm)],[c_0_66, c_0_67])).
cnf(c_0_74, negated_conjecture, (k12_surreal0(k1_funct_1(k1_surrealn,esk1_0))=esk1_0|r2_tarski(esk2_2(k1_funct_1(k1_surrealn,esk1_0),esk1_0),esk1_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68, c_0_25]), c_0_36])])).
cnf(c_0_75, plain, (r2_tarski(k1_funct_1(k1_surrealn,k4_xcmplx_0(X1)),k10_surreal0(X1))|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_22])).
cnf(c_0_76, plain, (~r2_hidden(X1,k5_card_1(X2))|~r1_xxreal_0(X2,X1)|~v7_ordinal1(X2)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_69])).
fof(c_0_77, plain, ![X53, X54]:((~r2_tarski(X53,X54)|r2_hidden(X53,X54))&(~r2_hidden(X53,X54)|r2_tarski(X53,X54))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_r2_tarski])])).
cnf(c_0_78, negated_conjecture, (k12_surreal0(k1_funct_1(k1_surrealn,esk1_0))=esk1_0|r1_xxreal_0(esk1_0,esk2_2(k1_funct_1(k1_surrealn,esk1_0),esk1_0))|~v1_int_1(esk1_0)|~v7_ordinal1(esk2_2(k1_funct_1(k1_surrealn,esk1_0),esk1_0))), inference(spm,[status(thm)],[c_0_70, c_0_71])).
cnf(c_0_79, plain, (v7_ordinal1(X2)|~v6_membered(X1)|~m1_subset_1(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_72])).
cnf(c_0_80, negated_conjecture, (k12_surreal0(k1_funct_1(k1_surrealn,esk1_0))=esk1_0|m1_subset_1(esk2_2(k1_funct_1(k1_surrealn,esk1_0),esk1_0),k4_ordinal1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73, c_0_74]), c_0_36])])).
cnf(c_0_81, plain, (v6_membered(k4_ordinal1)), inference(split_conjunct,[status(thm)],[fc6_membered])).
cnf(c_0_82, plain, (k12_surreal0(k1_funct_1(k1_surrealn,k4_xcmplx_0(X1)))=X1|v3_ordinal1(esk2_2(k1_funct_1(k1_surrealn,k4_xcmplx_0(X1)),X1))|~v2_surreal0(k1_funct_1(k1_surrealn,k4_xcmplx_0(X1)))|~v7_ordinal1(X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_24, c_0_75]), c_0_26])).
fof(c_0_83, plain, ![X49]:((v1_xcmplx_0(k4_xcmplx_0(X49))|~v1_int_1(X49))&(v1_int_1(k4_xcmplx_0(X49))|~v1_int_1(X49))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc3_int_1])])])).
cnf(c_0_84, plain, (~r1_xxreal_0(X1,X2)|~r2_hidden(X2,X1)|~v7_ordinal1(X1)|~v7_ordinal1(X2)), inference(spm,[status(thm)],[c_0_76, c_0_60])).
cnf(c_0_85, plain, (r2_hidden(X1,X2)|~r2_tarski(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_77])).
cnf(c_0_86, negated_conjecture, (k12_surreal0(k1_funct_1(k1_surrealn,esk1_0))=esk1_0|r1_xxreal_0(esk1_0,esk2_2(k1_funct_1(k1_surrealn,esk1_0),esk1_0))|~v7_ordinal1(esk2_2(k1_funct_1(k1_surrealn,esk1_0),esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78, c_0_32]), c_0_36])])).
cnf(c_0_87, negated_conjecture, (k12_surreal0(k1_funct_1(k1_surrealn,esk1_0))=esk1_0|v7_ordinal1(esk2_2(k1_funct_1(k1_surrealn,esk1_0),esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79, c_0_80]), c_0_81])])).
cnf(c_0_88, plain, (k12_surreal0(k1_funct_1(k1_surrealn,k4_xcmplx_0(X1)))=X1|v3_ordinal1(esk2_2(k1_funct_1(k1_surrealn,k4_xcmplx_0(X1)),X1))|~v1_int_1(k4_xcmplx_0(X1))|~v7_ordinal1(X1)), inference(spm,[status(thm)],[c_0_82, c_0_31])).
cnf(c_0_89, plain, (v1_int_1(k4_xcmplx_0(X1))|~v1_int_1(X1)), inference(split_conjunct,[status(thm)],[c_0_83])).
cnf(c_0_90, plain, (~r1_xxreal_0(X1,X2)|~r2_tarski(X2,X1)|~v7_ordinal1(X1)|~v7_ordinal1(X2)), inference(spm,[status(thm)],[c_0_84, c_0_85])).
cnf(c_0_91, negated_conjecture, (k12_surreal0(k1_funct_1(k1_surrealn,esk1_0))=esk1_0|r1_xxreal_0(esk1_0,esk2_2(k1_funct_1(k1_surrealn,esk1_0),esk1_0))), inference(spm,[status(thm)],[c_0_86, c_0_87])).
cnf(c_0_92, plain, (k12_surreal0(k1_funct_1(k1_surrealn,k4_xcmplx_0(X1)))=X1|v3_ordinal1(esk2_2(k1_funct_1(k1_surrealn,k4_xcmplx_0(X1)),X1))|~v7_ordinal1(X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_88, c_0_89]), c_0_32])).
cnf(c_0_93, negated_conjecture, (esk1_0!=k12_surreal0(k1_funct_1(k1_surrealn,esk1_0))|esk1_0!=k12_surreal0(k1_funct_1(k1_surrealn,k4_xcmplx_0(esk1_0)))), inference(split_conjunct,[status(thm)],[c_0_33])).
cnf(c_0_94, negated_conjecture, (k12_surreal0(k1_funct_1(k1_surrealn,esk1_0))=esk1_0), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90, c_0_91]), c_0_36])]), c_0_87]), c_0_74])).
cnf(c_0_95, plain, (k12_surreal0(k1_funct_1(k1_surrealn,k4_xcmplx_0(X1)))=X1|r2_tarski(k1_funct_1(k1_surrealn,k4_xcmplx_0(X1)),k10_surreal0(esk2_2(k1_funct_1(k1_surrealn,k4_xcmplx_0(X1)),X1)))|~v2_surreal0(k1_funct_1(k1_surrealn,k4_xcmplx_0(X1)))|~v7_ordinal1(X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_49, c_0_75]), c_0_26])).
cnf(c_0_96, negated_conjecture, (k12_surreal0(k1_funct_1(k1_surrealn,k4_xcmplx_0(esk1_0)))=esk1_0|v3_ordinal1(esk2_2(k1_funct_1(k1_surrealn,k4_xcmplx_0(esk1_0)),esk1_0))), inference(spm,[status(thm)],[c_0_92, c_0_36])).
cnf(c_0_97, negated_conjecture, (k12_surreal0(k1_funct_1(k1_surrealn,k4_xcmplx_0(esk1_0)))!=esk1_0), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_93, c_0_94])])).
cnf(c_0_98, plain, (k12_surreal0(k1_funct_1(k1_surrealn,k4_xcmplx_0(X1)))=X1|r2_tarski(k1_funct_1(k1_surrealn,k4_xcmplx_0(X1)),k10_surreal0(esk2_2(k1_funct_1(k1_surrealn,k4_xcmplx_0(X1)),X1)))|~v1_int_1(k4_xcmplx_0(X1))|~v7_ordinal1(X1)), inference(spm,[status(thm)],[c_0_95, c_0_31])).
cnf(c_0_99, negated_conjecture, (v3_ordinal1(esk2_2(k1_funct_1(k1_surrealn,k4_xcmplx_0(esk1_0)),esk1_0))), inference(sr,[status(thm)],[c_0_96, c_0_97])).
cnf(c_0_100, plain, (r1_surrealo(k1_funct_1(k1_surrealn,k4_xcmplx_0(X1)),X2)|~r2_tarski(X2,k10_surreal0(X1))|~v7_ordinal1(X1)|~v2_surreal0(X2)), inference(split_conjunct,[status(thm)],[c_0_56])).
cnf(c_0_101, plain, (k12_surreal0(k1_funct_1(k1_surrealn,k4_xcmplx_0(X1)))=X1|r2_tarski(k1_funct_1(k1_surrealn,k4_xcmplx_0(X1)),k10_surreal0(esk2_2(k1_funct_1(k1_surrealn,k4_xcmplx_0(X1)),X1)))|~v7_ordinal1(X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_98, c_0_89]), c_0_32])).
cnf(c_0_102, negated_conjecture, (r1_ordinal1(X1,esk2_2(k1_funct_1(k1_surrealn,k4_xcmplx_0(esk1_0)),esk1_0))|r2_tarski(esk2_2(k1_funct_1(k1_surrealn,k4_xcmplx_0(esk1_0)),esk1_0),X1)|~v3_ordinal1(X1)), inference(spm,[status(thm)],[c_0_37, c_0_99])).
fof(c_0_103, plain, ![X58, X59]:((~r1_xxreal_0(X58,X59)|r1_xxreal_0(k4_xcmplx_0(X59),k4_xcmplx_0(X58))|~v1_xreal_0(X59)|~v1_xreal_0(X58))&(~r1_xxreal_0(k4_xcmplx_0(X59),k4_xcmplx_0(X58))|r1_xxreal_0(X58,X59)|~v1_xreal_0(X59)|~v1_xreal_0(X58))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t24_xreal_1])])])])).
cnf(c_0_104, plain, (r1_xxreal_0(k4_xcmplx_0(X1),X2)|~r2_tarski(k1_funct_1(k1_surrealn,X2),k10_surreal0(X1))|~v1_int_1(k4_xcmplx_0(X1))|~v1_int_1(X2)|~v7_ordinal1(X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_63, c_0_100]), c_0_31])).
cnf(c_0_105, negated_conjecture, (r2_tarski(k1_funct_1(k1_surrealn,k4_xcmplx_0(esk1_0)),k10_surreal0(esk2_2(k1_funct_1(k1_surrealn,k4_xcmplx_0(esk1_0)),esk1_0)))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_101, c_0_36]), c_0_97])).
fof(c_0_106, plain, ![X40]:(~v7_ordinal1(X40)|v1_xreal_0(X40)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc2_xreal_0])])).
cnf(c_0_107, negated_conjecture, (r1_ordinal1(X1,esk2_2(k1_funct_1(k1_surrealn,k4_xcmplx_0(esk1_0)),esk1_0))|r2_tarski(esk2_2(k1_funct_1(k1_surrealn,k4_xcmplx_0(esk1_0)),esk1_0),X1)|~v7_ordinal1(X1)), inference(spm,[status(thm)],[c_0_102, c_0_26])).
cnf(c_0_108, plain, (r1_xxreal_0(X2,X1)|~r1_xxreal_0(k4_xcmplx_0(X1),k4_xcmplx_0(X2))|~v1_xreal_0(X1)|~v1_xreal_0(X2)), inference(split_conjunct,[status(thm)],[c_0_103])).
cnf(c_0_109, negated_conjecture, (r1_xxreal_0(k4_xcmplx_0(esk2_2(k1_funct_1(k1_surrealn,k4_xcmplx_0(esk1_0)),esk1_0)),k4_xcmplx_0(esk1_0))|~v1_int_1(k4_xcmplx_0(esk2_2(k1_funct_1(k1_surrealn,k4_xcmplx_0(esk1_0)),esk1_0)))|~v1_int_1(k4_xcmplx_0(esk1_0))|~v7_ordinal1(esk2_2(k1_funct_1(k1_surrealn,k4_xcmplx_0(esk1_0)),esk1_0))), inference(spm,[status(thm)],[c_0_104, c_0_105])).
cnf(c_0_110, plain, (v1_xreal_0(X1)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_106])).
cnf(c_0_111, negated_conjecture, (r1_ordinal1(esk1_0,esk2_2(k1_funct_1(k1_surrealn,k4_xcmplx_0(esk1_0)),esk1_0))|r2_tarski(esk2_2(k1_funct_1(k1_surrealn,k4_xcmplx_0(esk1_0)),esk1_0),esk1_0)), inference(spm,[status(thm)],[c_0_107, c_0_36])).
cnf(c_0_112, negated_conjecture, (r1_xxreal_0(esk1_0,esk2_2(k1_funct_1(k1_surrealn,k4_xcmplx_0(esk1_0)),esk1_0))|~v1_xreal_0(esk1_0)|~v1_int_1(k4_xcmplx_0(esk2_2(k1_funct_1(k1_surrealn,k4_xcmplx_0(esk1_0)),esk1_0)))|~v1_int_1(k4_xcmplx_0(esk1_0))|~v7_ordinal1(esk2_2(k1_funct_1(k1_surrealn,k4_xcmplx_0(esk1_0)),esk1_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_108, c_0_109]), c_0_110])).
cnf(c_0_113, negated_conjecture, (r2_tarski(esk2_2(k1_funct_1(k1_surrealn,k4_xcmplx_0(esk1_0)),esk1_0),esk1_0)|~r2_tarski(k1_funct_1(k1_surrealn,k4_xcmplx_0(esk1_0)),k10_surreal0(esk1_0))|~v2_surreal0(k1_funct_1(k1_surrealn,k4_xcmplx_0(esk1_0)))|~v3_ordinal1(esk1_0)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_41, c_0_111]), c_0_97])).
cnf(c_0_114, negated_conjecture, (r1_xxreal_0(esk1_0,esk2_2(k1_funct_1(k1_surrealn,k4_xcmplx_0(esk1_0)),esk1_0))|~v1_xreal_0(esk1_0)|~v1_int_1(k4_xcmplx_0(esk1_0))|~v7_ordinal1(esk2_2(k1_funct_1(k1_surrealn,k4_xcmplx_0(esk1_0)),esk1_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_112, c_0_89]), c_0_32])).
cnf(c_0_115, negated_conjecture, (m1_subset_1(esk2_2(k1_funct_1(k1_surrealn,k4_xcmplx_0(esk1_0)),esk1_0),k4_ordinal1)|~r2_tarski(k1_funct_1(k1_surrealn,k4_xcmplx_0(esk1_0)),k10_surreal0(esk1_0))|~v2_surreal0(k1_funct_1(k1_surrealn,k4_xcmplx_0(esk1_0)))|~v3_ordinal1(esk1_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73, c_0_113]), c_0_36])])).
cnf(c_0_116, negated_conjecture, (~r2_tarski(esk2_2(k1_funct_1(k1_surrealn,k4_xcmplx_0(esk1_0)),esk1_0),esk1_0)|~v1_xreal_0(esk1_0)|~v1_int_1(k4_xcmplx_0(esk1_0))|~v7_ordinal1(esk2_2(k1_funct_1(k1_surrealn,k4_xcmplx_0(esk1_0)),esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90, c_0_114]), c_0_36])])).
cnf(c_0_117, negated_conjecture, (v7_ordinal1(esk2_2(k1_funct_1(k1_surrealn,k4_xcmplx_0(esk1_0)),esk1_0))|~r2_tarski(k1_funct_1(k1_surrealn,k4_xcmplx_0(esk1_0)),k10_surreal0(esk1_0))|~v2_surreal0(k1_funct_1(k1_surrealn,k4_xcmplx_0(esk1_0)))|~v3_ordinal1(esk1_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79, c_0_115]), c_0_81])])).
cnf(c_0_118, negated_conjecture, (~r2_tarski(k1_funct_1(k1_surrealn,k4_xcmplx_0(esk1_0)),k10_surreal0(esk1_0))|~v3_ordinal1(esk1_0)|~v1_xreal_0(esk1_0)|~v1_int_1(k4_xcmplx_0(esk1_0))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_116, c_0_113]), c_0_117]), c_0_31])).
cnf(c_0_119, negated_conjecture, (~v3_ordinal1(esk1_0)|~v1_xreal_0(esk1_0)|~v1_int_1(k4_xcmplx_0(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118, c_0_75]), c_0_36])])).
cnf(c_0_120, negated_conjecture, (~v3_ordinal1(esk1_0)|~v1_xreal_0(esk1_0)|~v1_int_1(esk1_0)), inference(spm,[status(thm)],[c_0_119, c_0_89])).
cnf(c_0_121, negated_conjecture, (~v3_ordinal1(esk1_0)|~v1_int_1(esk1_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120, c_0_110]), c_0_36])])).
cnf(c_0_122, negated_conjecture, (~v3_ordinal1(esk1_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121, c_0_32]), c_0_36])])).
cnf(c_0_123, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122, c_0_26]), c_0_36])]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 124
# Proof object clause steps            : 80
# Proof object formula steps           : 44
# Proof object conjectures             : 41
# Proof object clause conjectures      : 38
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 26
# Proof object initial formulas used   : 21
# Proof object generating inferences   : 51
# Proof object simplifying inferences  : 53
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 21
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 33
# Removed in clause preprocessing      : 1
# Initial clauses in saturation        : 32
# Processed clauses                    : 283
# ...of these trivial                  : 1
# ...subsumed                          : 16
# ...remaining for further processing  : 266
# Other redundant clauses eliminated   : 2
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 66
# Backward-rewritten                   : 17
# Generated clauses                    : 284
# ...of the previous two non-trivial   : 263
# Contextual simplify-reflections      : 37
# Paramodulations                      : 278
# Factorizations                       : 0
# NegExts                              : 0
# Equation resolutions                 : 2
# 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  : 145
#    Positive orientable unit clauses  : 7
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 3
#    Non-unit-clauses                  : 135
# Current number of unprocessed clauses: 16
# ...number of literals in the above   : 70
# Current number of archived formulas  : 0
# Current number of archived clauses   : 120
# Clause-clause subsumption calls (NU) : 9618
# Rec. Clause-clause subsumption calls : 3365
# Non-unit clause-clause subsumptions  : 118
# Unit Clause-clause subsumption calls : 202
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 3
# BW rewrite match successes           : 2
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 10850

# -------------------------------------------------
# User time                : 0.025 s
# System time              : 0.012 s
# Total time               : 0.037 s
# Maximum resident set size: 3464 pages
