# No SInE strategy applied
# Trying AutoSched0 for 161 seconds
# AutoSched0-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S2S
# and selection function SelectNewComplexAHP.
#
# Preprocessing time       : 0.020 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(cc8_membered, axiom, ![X1]:(v3_membered(X1)=>![X2]:(m1_subset_1(X2,X1)=>v1_xreal_0(X2))), file('surrealn/surrealn__t36_surrealn', cc8_membered)).
fof(dt_k5_numbers, axiom, m1_subset_1(k5_numbers,k4_ordinal1), file('surrealn/surrealn__t36_surrealn', dt_k5_numbers)).
fof(cc3_membered, axiom, ![X1]:(v4_membered(X1)=>v3_membered(X1)), file('surrealn/surrealn__t36_surrealn', cc3_membered)).
fof(cc3_xxreal_0, axiom, ![X1]:((v1_xxreal_0(X1)&v2_xxreal_0(X1))=>((~(v8_ordinal1(X1))&v1_xxreal_0(X1))&~(v3_xxreal_0(X1)))), file('surrealn/surrealn__t36_surrealn', cc3_xxreal_0)).
fof(cc2_membered, axiom, ![X1]:(v5_membered(X1)=>v4_membered(X1)), file('surrealn/surrealn__t36_surrealn', cc2_membered)).
fof(cc4_xreal_0, axiom, ![X1]:(v1_xreal_0(X1)=>v1_xxreal_0(X1)), file('surrealn/surrealn__t36_surrealn', cc4_xreal_0)).
fof(fc16_xreal_0, axiom, ![X1]:((~(v3_xxreal_0(X1))&v1_xreal_0(X1))=>(v1_xcmplx_0(k4_xcmplx_0(X1))&~(v2_xxreal_0(k4_xcmplx_0(X1))))), file('surrealn/surrealn__t36_surrealn', fc16_xreal_0)).
fof(fc15_xreal_0, axiom, ![X1]:((~(v2_xxreal_0(X1))&v1_xreal_0(X1))=>(v1_xcmplx_0(k4_xcmplx_0(X1))&~(v3_xxreal_0(k4_xcmplx_0(X1))))), file('surrealn/surrealn__t36_surrealn', fc15_xreal_0)).
fof(l46_surrealn, axiom, ![X1]:((v1_rat_1(X1)&v1_surrealn(X1))=>~((r1_xxreal_0(k5_numbers,X1)&![X2]:(v7_ordinal1(X2)=>~(r2_tarski(k1_funct_1(k4_surrealn,X1),k10_surreal0(X2))))))), file('surrealn/surrealn__t36_surrealn', l46_surrealn)).
fof(t8_real, axiom, ![X1]:(v1_xreal_0(X1)=>![X2]:(v1_xreal_0(X2)=>~(((~(r1_xxreal_0(X1,X2))&~(v3_xxreal_0(X2)))&~(v2_xxreal_0(X1)))))), file('surrealn/surrealn__t36_surrealn', t8_real)).
fof(cc1_membered, axiom, ![X1]:(v6_membered(X1)=>v5_membered(X1)), file('surrealn/surrealn__t36_surrealn', cc1_membered)).
fof(fc6_membered, axiom, v6_membered(k4_ordinal1), file('surrealn/surrealn__t36_surrealn', fc6_membered)).
fof(cc1_rat_1, axiom, ![X1]:(v1_rat_1(X1)=>v1_xreal_0(X1)), file('surrealn/surrealn__t36_surrealn', cc1_rat_1)).
fof(involutiveness_k4_xcmplx_0, axiom, ![X1]:(v1_xcmplx_0(X1)=>k4_xcmplx_0(k4_xcmplx_0(X1))=X1), file('surrealn/surrealn__t36_surrealn', involutiveness_k4_xcmplx_0)).
fof(cc3_xreal_0, axiom, ![X1]:(v1_xreal_0(X1)=>v1_xcmplx_0(X1)), file('surrealn/surrealn__t36_surrealn', cc3_xreal_0)).
fof(cc6_ordinal1, axiom, ![X1]:(v7_ordinal1(X1)=>v3_ordinal1(X1)), file('surrealn/surrealn__t36_surrealn', cc6_ordinal1)).
fof(t1_subset, axiom, ![X1, X2]:(r2_tarski(X1,X2)=>m1_subset_1(X1,X2)), file('surrealn/surrealn__t36_surrealn', t1_subset)).
fof(fc5_surrealn, axiom, ![X1]:((v1_rat_1(X1)&v1_surrealn(X1))=>(v1_xcmplx_0(k4_xcmplx_0(X1))&v1_surrealn(k4_xcmplx_0(X1)))), file('surrealn/surrealn__t36_surrealn', fc5_surrealn)).
fof(t36_surrealn, conjecture, ![X1]:((v1_rat_1(X1)&v1_surrealn(X1))=>?[X2]:(v7_ordinal1(X2)&r2_tarski(k1_funct_1(k4_surrealn,X1),k10_surreal0(X2)))), file('surrealn/surrealn__t36_surrealn', t36_surrealn)).
fof(t11_surrealr, axiom, ![X1]:(v2_surreal0(X1)=>![X2]:(v3_ordinal1(X2)=>(r2_tarski(X1,k10_surreal0(X2))=>r2_tarski(k2_surrealr(X1),k10_surreal0(X2))))), file('surrealn/surrealn__t36_surrealn', t11_surrealr)).
fof(cc1_surreal0, axiom, ![X1]:(v3_ordinal1(X1)=>![X2]:(m1_subset_1(X2,k10_surreal0(X1))=>v2_surreal0(X2))), file('surrealn/surrealn__t36_surrealn', cc1_surreal0)).
fof(fc5_rat_1, axiom, ![X1]:(v1_rat_1(X1)=>(v1_xcmplx_0(k4_xcmplx_0(X1))&v1_rat_1(k4_xcmplx_0(X1)))), file('surrealn/surrealn__t36_surrealn', fc5_rat_1)).
fof(t27_surrealn, axiom, ![X1]:((v1_rat_1(X1)&v1_surrealn(X1))=>k1_funct_1(k4_surrealn,k4_xcmplx_0(X1))=k2_surrealr(k1_funct_1(k4_surrealn,X1))), file('surrealn/surrealn__t36_surrealn', t27_surrealn)).
fof(t6_boole, axiom, ![X1]:(v1_xboole_0(X1)=>X1=k1_xboole_0), file('surrealn/surrealn__t36_surrealn', t6_boole)).
fof(d13_ordinal1, axiom, k5_ordinal1=k1_xboole_0, file('surrealn/surrealn__t36_surrealn', d13_ordinal1)).
fof(redefinition_k5_numbers, axiom, k5_numbers=k5_ordinal1, file('surrealn/surrealn__t36_surrealn', redefinition_k5_numbers)).
fof(spc0_boole, axiom, v1_xboole_0(np__0), file('surrealn/surrealn__t36_surrealn', spc0_boole)).
fof(rqRealNeg__k4_xcmplx_0__r0_r0, axiom, k4_xcmplx_0(np__0)=np__0, file('surrealn/surrealn__t36_surrealn', rqRealNeg__k4_xcmplx_0__r0_r0)).
fof(c_0_28, plain, ![X44, X45]:(~v3_membered(X44)|(~m1_subset_1(X45,X44)|v1_xreal_0(X45))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc8_membered])])])).
cnf(c_0_29, plain, (v1_xreal_0(X2)|~v3_membered(X1)|~m1_subset_1(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_28])).
cnf(c_0_30, plain, (m1_subset_1(k5_numbers,k4_ordinal1)), inference(split_conjunct,[status(thm)],[dt_k5_numbers])).
fof(c_0_31, plain, ![X39]:(~v4_membered(X39)|v3_membered(X39)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc3_membered])])).
fof(c_0_32, plain, ![X1]:((v1_xxreal_0(X1)&v2_xxreal_0(X1))=>((~v8_ordinal1(X1)&v1_xxreal_0(X1))&~v3_xxreal_0(X1))), inference(fof_simplification,[status(thm)],[cc3_xxreal_0])).
cnf(c_0_33, plain, (v1_xreal_0(k5_numbers)|~v3_membered(k4_ordinal1)), inference(spm,[status(thm)],[c_0_29, c_0_30])).
cnf(c_0_34, plain, (v3_membered(X1)|~v4_membered(X1)), inference(split_conjunct,[status(thm)],[c_0_31])).
fof(c_0_35, plain, ![X38]:(~v5_membered(X38)|v4_membered(X38)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc2_membered])])).
fof(c_0_36, plain, ![X41]:(((~v8_ordinal1(X41)|(~v1_xxreal_0(X41)|~v2_xxreal_0(X41)))&(v1_xxreal_0(X41)|(~v1_xxreal_0(X41)|~v2_xxreal_0(X41))))&(~v3_xxreal_0(X41)|(~v1_xxreal_0(X41)|~v2_xxreal_0(X41)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_32])])])).
fof(c_0_37, plain, ![X42]:(~v1_xreal_0(X42)|v1_xxreal_0(X42)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc4_xreal_0])])).
fof(c_0_38, plain, ![X1]:((~v3_xxreal_0(X1)&v1_xreal_0(X1))=>(v1_xcmplx_0(k4_xcmplx_0(X1))&~v2_xxreal_0(k4_xcmplx_0(X1)))), inference(fof_simplification,[status(thm)],[fc16_xreal_0])).
fof(c_0_39, plain, ![X1]:((~v2_xxreal_0(X1)&v1_xreal_0(X1))=>(v1_xcmplx_0(k4_xcmplx_0(X1))&~v3_xxreal_0(k4_xcmplx_0(X1)))), inference(fof_simplification,[status(thm)],[fc15_xreal_0])).
fof(c_0_40, plain, ![X1]:((v1_rat_1(X1)&v1_surrealn(X1))=>~((r1_xxreal_0(k5_numbers,X1)&![X2]:(v7_ordinal1(X2)=>~r2_tarski(k1_funct_1(k4_surrealn,X1),k10_surreal0(X2)))))), inference(fof_simplification,[status(thm)],[l46_surrealn])).
fof(c_0_41, plain, ![X1]:(v1_xreal_0(X1)=>![X2]:(v1_xreal_0(X2)=>~(((~r1_xxreal_0(X1,X2)&~v3_xxreal_0(X2))&~v2_xxreal_0(X1))))), inference(fof_simplification,[status(thm)],[t8_real])).
cnf(c_0_42, plain, (v1_xreal_0(k5_numbers)|~v4_membered(k4_ordinal1)), inference(spm,[status(thm)],[c_0_33, c_0_34])).
cnf(c_0_43, plain, (v4_membered(X1)|~v5_membered(X1)), inference(split_conjunct,[status(thm)],[c_0_35])).
fof(c_0_44, plain, ![X34]:(~v6_membered(X34)|v5_membered(X34)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_membered])])).
cnf(c_0_45, plain, (~v3_xxreal_0(X1)|~v1_xxreal_0(X1)|~v2_xxreal_0(X1)), inference(split_conjunct,[status(thm)],[c_0_36])).
cnf(c_0_46, plain, (v1_xxreal_0(X1)|~v1_xreal_0(X1)), inference(split_conjunct,[status(thm)],[c_0_37])).
fof(c_0_47, plain, ![X47]:((v1_xcmplx_0(k4_xcmplx_0(X47))|(v3_xxreal_0(X47)|~v1_xreal_0(X47)))&(~v2_xxreal_0(k4_xcmplx_0(X47))|(v3_xxreal_0(X47)|~v1_xreal_0(X47)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_38])])])).
fof(c_0_48, plain, ![X46]:((v1_xcmplx_0(k4_xcmplx_0(X46))|(v2_xxreal_0(X46)|~v1_xreal_0(X46)))&(~v3_xxreal_0(k4_xcmplx_0(X46))|(v2_xxreal_0(X46)|~v1_xreal_0(X46)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_39])])])).
fof(c_0_49, plain, ![X51]:((v7_ordinal1(esk2_1(X51))|~r1_xxreal_0(k5_numbers,X51)|(~v1_rat_1(X51)|~v1_surrealn(X51)))&(r2_tarski(k1_funct_1(k4_surrealn,X51),k10_surreal0(esk2_1(X51)))|~r1_xxreal_0(k5_numbers,X51)|(~v1_rat_1(X51)|~v1_surrealn(X51)))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_40])])])])).
fof(c_0_50, plain, ![X59, X60]:(~v1_xreal_0(X59)|(~v1_xreal_0(X60)|(r1_xxreal_0(X59,X60)|v3_xxreal_0(X60)|v2_xxreal_0(X59)))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_41])])])).
cnf(c_0_51, plain, (v1_xreal_0(k5_numbers)|~v5_membered(k4_ordinal1)), inference(spm,[status(thm)],[c_0_42, c_0_43])).
cnf(c_0_52, plain, (v5_membered(X1)|~v6_membered(X1)), inference(split_conjunct,[status(thm)],[c_0_44])).
cnf(c_0_53, plain, (v6_membered(k4_ordinal1)), inference(split_conjunct,[status(thm)],[fc6_membered])).
fof(c_0_54, plain, ![X35]:(~v1_rat_1(X35)|v1_xreal_0(X35)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_rat_1])])).
fof(c_0_55, plain, ![X50]:(~v1_xcmplx_0(X50)|k4_xcmplx_0(k4_xcmplx_0(X50))=X50), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[involutiveness_k4_xcmplx_0])])).
cnf(c_0_56, plain, (~v3_xxreal_0(X1)|~v2_xxreal_0(X1)|~v1_xreal_0(X1)), inference(spm,[status(thm)],[c_0_45, c_0_46])).
cnf(c_0_57, plain, (v1_xcmplx_0(k4_xcmplx_0(X1))|v3_xxreal_0(X1)|~v1_xreal_0(X1)), inference(split_conjunct,[status(thm)],[c_0_47])).
cnf(c_0_58, plain, (v1_xcmplx_0(k4_xcmplx_0(X1))|v2_xxreal_0(X1)|~v1_xreal_0(X1)), inference(split_conjunct,[status(thm)],[c_0_48])).
fof(c_0_59, plain, ![X40]:(~v1_xreal_0(X40)|v1_xcmplx_0(X40)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc3_xreal_0])])).
fof(c_0_60, plain, ![X43]:(~v7_ordinal1(X43)|v3_ordinal1(X43)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc6_ordinal1])])).
cnf(c_0_61, plain, (v7_ordinal1(esk2_1(X1))|~r1_xxreal_0(k5_numbers,X1)|~v1_rat_1(X1)|~v1_surrealn(X1)), inference(split_conjunct,[status(thm)],[c_0_49])).
cnf(c_0_62, plain, (r1_xxreal_0(X1,X2)|v3_xxreal_0(X2)|v2_xxreal_0(X1)|~v1_xreal_0(X1)|~v1_xreal_0(X2)), inference(split_conjunct,[status(thm)],[c_0_50])).
cnf(c_0_63, plain, (v1_xreal_0(k5_numbers)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51, c_0_52]), c_0_53])])).
cnf(c_0_64, plain, (v1_xreal_0(X1)|~v1_rat_1(X1)), inference(split_conjunct,[status(thm)],[c_0_54])).
fof(c_0_65, plain, ![X55, X56]:(~r2_tarski(X55,X56)|m1_subset_1(X55,X56)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t1_subset])])).
cnf(c_0_66, plain, (r2_tarski(k1_funct_1(k4_surrealn,X1),k10_surreal0(esk2_1(X1)))|~r1_xxreal_0(k5_numbers,X1)|~v1_rat_1(X1)|~v1_surrealn(X1)), inference(split_conjunct,[status(thm)],[c_0_49])).
fof(c_0_67, plain, ![X49]:((v1_xcmplx_0(k4_xcmplx_0(X49))|(~v1_rat_1(X49)|~v1_surrealn(X49)))&(v1_surrealn(k4_xcmplx_0(X49))|(~v1_rat_1(X49)|~v1_surrealn(X49)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc5_surrealn])])])).
cnf(c_0_68, plain, (k4_xcmplx_0(k4_xcmplx_0(X1))=X1|~v1_xcmplx_0(X1)), inference(split_conjunct,[status(thm)],[c_0_55])).
cnf(c_0_69, plain, (v1_xcmplx_0(k4_xcmplx_0(X1))|~v1_xreal_0(X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_56, c_0_57]), c_0_58])).
cnf(c_0_70, plain, (v1_xcmplx_0(X1)|~v1_xreal_0(X1)), inference(split_conjunct,[status(thm)],[c_0_59])).
fof(c_0_71, negated_conjecture, ~(![X1]:((v1_rat_1(X1)&v1_surrealn(X1))=>?[X2]:(v7_ordinal1(X2)&r2_tarski(k1_funct_1(k4_surrealn,X1),k10_surreal0(X2))))), inference(assume_negation,[status(cth)],[t36_surrealn])).
fof(c_0_72, plain, ![X53, X54]:(~v2_surreal0(X53)|(~v3_ordinal1(X54)|(~r2_tarski(X53,k10_surreal0(X54))|r2_tarski(k2_surrealr(X53),k10_surreal0(X54))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t11_surrealr])])])).
cnf(c_0_73, plain, (v3_ordinal1(X1)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_60])).
cnf(c_0_74, plain, (v3_xxreal_0(X1)|v2_xxreal_0(k5_numbers)|v7_ordinal1(esk2_1(X1))|~v1_surrealn(X1)|~v1_rat_1(X1)), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61, c_0_62]), c_0_63])]), c_0_64])).
fof(c_0_75, plain, ![X36, X37]:(~v3_ordinal1(X36)|(~m1_subset_1(X37,k10_surreal0(X36))|v2_surreal0(X37))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_surreal0])])])).
cnf(c_0_76, plain, (m1_subset_1(X1,X2)|~r2_tarski(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_65])).
cnf(c_0_77, plain, (v3_xxreal_0(X1)|v2_xxreal_0(k5_numbers)|r2_tarski(k1_funct_1(k4_surrealn,X1),k10_surreal0(esk2_1(X1)))|~v1_surrealn(X1)|~v1_rat_1(X1)), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66, c_0_62]), c_0_63])]), c_0_64])).
cnf(c_0_78, plain, (v1_surrealn(k4_xcmplx_0(X1))|~v1_rat_1(X1)|~v1_surrealn(X1)), inference(split_conjunct,[status(thm)],[c_0_67])).
cnf(c_0_79, plain, (k4_xcmplx_0(k4_xcmplx_0(k4_xcmplx_0(X1)))=k4_xcmplx_0(X1)|~v1_xreal_0(X1)), inference(spm,[status(thm)],[c_0_68, c_0_69])).
fof(c_0_80, plain, ![X48]:((v1_xcmplx_0(k4_xcmplx_0(X48))|~v1_rat_1(X48))&(v1_rat_1(k4_xcmplx_0(X48))|~v1_rat_1(X48))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc5_rat_1])])])).
cnf(c_0_81, plain, (k4_xcmplx_0(k4_xcmplx_0(X1))=X1|~v1_xreal_0(X1)), inference(spm,[status(thm)],[c_0_68, c_0_70])).
fof(c_0_82, negated_conjecture, ![X33]:((v1_rat_1(esk1_0)&v1_surrealn(esk1_0))&(~v7_ordinal1(X33)|~r2_tarski(k1_funct_1(k4_surrealn,esk1_0),k10_surreal0(X33)))), inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_71])])])])).
cnf(c_0_83, plain, (r2_tarski(k2_surrealr(X1),k10_surreal0(X2))|~v2_surreal0(X1)|~v3_ordinal1(X2)|~r2_tarski(X1,k10_surreal0(X2))), inference(split_conjunct,[status(thm)],[c_0_72])).
cnf(c_0_84, plain, (v3_xxreal_0(X1)|v2_xxreal_0(k5_numbers)|v3_ordinal1(esk2_1(X1))|~v1_surrealn(X1)|~v1_rat_1(X1)), inference(spm,[status(thm)],[c_0_73, c_0_74])).
cnf(c_0_85, plain, (v2_surreal0(X2)|~v3_ordinal1(X1)|~m1_subset_1(X2,k10_surreal0(X1))), inference(split_conjunct,[status(thm)],[c_0_75])).
cnf(c_0_86, plain, (v3_xxreal_0(X1)|v2_xxreal_0(k5_numbers)|m1_subset_1(k1_funct_1(k4_surrealn,X1),k10_surreal0(esk2_1(X1)))|~v1_surrealn(X1)|~v1_rat_1(X1)), inference(spm,[status(thm)],[c_0_76, c_0_77])).
cnf(c_0_87, plain, (v1_surrealn(k4_xcmplx_0(X1))|~v1_xreal_0(X1)|~v1_surrealn(k4_xcmplx_0(k4_xcmplx_0(X1)))|~v1_rat_1(k4_xcmplx_0(k4_xcmplx_0(X1)))), inference(spm,[status(thm)],[c_0_78, c_0_79])).
cnf(c_0_88, plain, (v1_rat_1(k4_xcmplx_0(X1))|~v1_rat_1(X1)), inference(split_conjunct,[status(thm)],[c_0_80])).
cnf(c_0_89, plain, (k4_xcmplx_0(k4_xcmplx_0(X1))=X1|~v1_rat_1(X1)), inference(spm,[status(thm)],[c_0_81, c_0_64])).
cnf(c_0_90, negated_conjecture, (v1_rat_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_82])).
cnf(c_0_91, plain, (v3_xxreal_0(X1)|v2_xxreal_0(k5_numbers)|r2_tarski(k2_surrealr(k1_funct_1(k4_surrealn,X1)),k10_surreal0(esk2_1(X1)))|~v2_surreal0(k1_funct_1(k4_surrealn,X1))|~v1_surrealn(X1)|~v1_rat_1(X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_83, c_0_77]), c_0_84])).
cnf(c_0_92, plain, (v3_xxreal_0(X1)|v2_xxreal_0(k5_numbers)|v2_surreal0(k1_funct_1(k4_surrealn,X1))|~v1_surrealn(X1)|~v1_rat_1(X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_85, c_0_86]), c_0_84])).
fof(c_0_93, plain, ![X57]:(~v1_rat_1(X57)|~v1_surrealn(X57)|k1_funct_1(k4_surrealn,k4_xcmplx_0(X57))=k2_surrealr(k1_funct_1(k4_surrealn,X57))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t27_surrealn])])).
cnf(c_0_94, plain, (v1_surrealn(k4_xcmplx_0(X1))|~v1_xreal_0(X1)|~v1_surrealn(k4_xcmplx_0(k4_xcmplx_0(X1)))|~v1_rat_1(k4_xcmplx_0(X1))), inference(spm,[status(thm)],[c_0_87, c_0_88])).
cnf(c_0_95, plain, (v1_rat_1(k4_xcmplx_0(X1))|~v1_xreal_0(X1)|~v1_rat_1(k4_xcmplx_0(k4_xcmplx_0(X1)))), inference(spm,[status(thm)],[c_0_88, c_0_79])).
cnf(c_0_96, negated_conjecture, (k4_xcmplx_0(k4_xcmplx_0(esk1_0))=esk1_0), inference(spm,[status(thm)],[c_0_89, c_0_90])).
cnf(c_0_97, plain, (v3_xxreal_0(X1)|v2_xxreal_0(k5_numbers)|r2_tarski(k2_surrealr(k1_funct_1(k4_surrealn,X1)),k10_surreal0(esk2_1(X1)))|~v1_surrealn(X1)|~v1_rat_1(X1)), inference(spm,[status(thm)],[c_0_91, c_0_92])).
cnf(c_0_98, plain, (k1_funct_1(k4_surrealn,k4_xcmplx_0(X1))=k2_surrealr(k1_funct_1(k4_surrealn,X1))|~v1_rat_1(X1)|~v1_surrealn(X1)), inference(split_conjunct,[status(thm)],[c_0_93])).
cnf(c_0_99, plain, (v1_surrealn(k4_xcmplx_0(X1))|~v1_surrealn(k4_xcmplx_0(k4_xcmplx_0(X1)))|~v1_rat_1(X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_94, c_0_88]), c_0_64])).
cnf(c_0_100, negated_conjecture, (v1_surrealn(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_82])).
cnf(c_0_101, negated_conjecture, (v1_rat_1(k4_xcmplx_0(esk1_0))|~v1_xreal_0(esk1_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95, c_0_96]), c_0_90])])).
cnf(c_0_102, negated_conjecture, (~v7_ordinal1(X1)|~r2_tarski(k1_funct_1(k4_surrealn,esk1_0),k10_surreal0(X1))), inference(split_conjunct,[status(thm)],[c_0_82])).
fof(c_0_103, plain, ![X58]:(~v1_xboole_0(X58)|X58=k1_xboole_0), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t6_boole])])).
cnf(c_0_104, plain, (k5_ordinal1=k1_xboole_0), inference(split_conjunct,[status(thm)],[d13_ordinal1])).
cnf(c_0_105, plain, (k5_numbers=k5_ordinal1), inference(split_conjunct,[status(thm)],[redefinition_k5_numbers])).
cnf(c_0_106, plain, (v3_xxreal_0(X1)|v2_xxreal_0(k5_numbers)|r2_tarski(k1_funct_1(k4_surrealn,k4_xcmplx_0(X1)),k10_surreal0(esk2_1(X1)))|~v1_surrealn(X1)|~v1_rat_1(X1)), inference(spm,[status(thm)],[c_0_97, c_0_98])).
cnf(c_0_107, negated_conjecture, (v1_surrealn(k4_xcmplx_0(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99, c_0_96]), c_0_100]), c_0_90])])).
cnf(c_0_108, negated_conjecture, (v1_rat_1(k4_xcmplx_0(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101, c_0_64]), c_0_90])])).
cnf(c_0_109, negated_conjecture, (v3_xxreal_0(esk1_0)|v2_xxreal_0(k5_numbers)|~v7_ordinal1(esk2_1(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102, c_0_77]), c_0_100]), c_0_90])])).
cnf(c_0_110, plain, (X1=k1_xboole_0|~v1_xboole_0(X1)), inference(split_conjunct,[status(thm)],[c_0_103])).
cnf(c_0_111, plain, (k1_xboole_0=k5_numbers), inference(rw,[status(thm)],[c_0_104, c_0_105])).
cnf(c_0_112, negated_conjecture, (v3_xxreal_0(k4_xcmplx_0(esk1_0))|v2_xxreal_0(k5_numbers)|r2_tarski(k1_funct_1(k4_surrealn,esk1_0),k10_surreal0(esk2_1(k4_xcmplx_0(esk1_0))))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106, c_0_96]), c_0_107]), c_0_108])])).
cnf(c_0_113, negated_conjecture, (v3_xxreal_0(esk1_0)|v2_xxreal_0(k5_numbers)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109, c_0_74]), c_0_100]), c_0_90])])).
cnf(c_0_114, plain, (X1=k5_numbers|~v1_xboole_0(X1)), inference(rw,[status(thm)],[c_0_110, c_0_111])).
cnf(c_0_115, plain, (v1_xboole_0(np__0)), inference(split_conjunct,[status(thm)],[spc0_boole])).
cnf(c_0_116, negated_conjecture, (v3_xxreal_0(k4_xcmplx_0(esk1_0))|v2_xxreal_0(k5_numbers)|~v7_ordinal1(esk2_1(k4_xcmplx_0(esk1_0)))), inference(spm,[status(thm)],[c_0_102, c_0_112])).
cnf(c_0_117, negated_conjecture, (v2_xxreal_0(k5_numbers)|~v2_xxreal_0(esk1_0)|~v1_xreal_0(esk1_0)), inference(spm,[status(thm)],[c_0_56, c_0_113])).
cnf(c_0_118, plain, (k4_xcmplx_0(np__0)=np__0), inference(split_conjunct,[status(thm)],[rqRealNeg__k4_xcmplx_0__r0_r0])).
cnf(c_0_119, plain, (np__0=k5_numbers), inference(spm,[status(thm)],[c_0_114, c_0_115])).
cnf(c_0_120, plain, (v2_xxreal_0(X1)|~v3_xxreal_0(k4_xcmplx_0(X1))|~v1_xreal_0(X1)), inference(split_conjunct,[status(thm)],[c_0_48])).
cnf(c_0_121, negated_conjecture, (v3_xxreal_0(k4_xcmplx_0(esk1_0))|v2_xxreal_0(k5_numbers)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116, c_0_74]), c_0_107]), c_0_108])])).
cnf(c_0_122, negated_conjecture, (v2_xxreal_0(k5_numbers)|~v2_xxreal_0(esk1_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117, c_0_64]), c_0_90])])).
cnf(c_0_123, plain, (v3_xxreal_0(X1)|~v2_xxreal_0(k4_xcmplx_0(X1))|~v1_xreal_0(X1)), inference(split_conjunct,[status(thm)],[c_0_47])).
cnf(c_0_124, plain, (k4_xcmplx_0(k5_numbers)=k5_numbers), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_118, c_0_119]), c_0_119])).
cnf(c_0_125, negated_conjecture, (v2_xxreal_0(k5_numbers)|~v1_xreal_0(esk1_0)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_120, c_0_121]), c_0_122])).
cnf(c_0_126, plain, (v3_xxreal_0(k5_numbers)|~v2_xxreal_0(k5_numbers)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123, c_0_124]), c_0_63])])).
cnf(c_0_127, negated_conjecture, (v2_xxreal_0(k5_numbers)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125, c_0_64]), c_0_90])])).
cnf(c_0_128, plain, (v3_xxreal_0(k5_numbers)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_126, c_0_127])])).
cnf(c_0_129, plain, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56, c_0_128]), c_0_127]), c_0_63])]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 130
# Proof object clause steps            : 74
# Proof object formula steps           : 56
# Proof object conjectures             : 19
# Proof object clause conjectures      : 16
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 33
# Proof object initial formulas used   : 28
# Proof object generating inferences   : 37
# Proof object simplifying inferences  : 47
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 28
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 37
# Removed in clause preprocessing      : 1
# Initial clauses in saturation        : 36
# Processed clauses                    : 189
# ...of these trivial                  : 2
# ...subsumed                          : 51
# ...remaining for further processing  : 136
# Other redundant clauses eliminated   : 0
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 9
# Backward-rewritten                   : 34
# Generated clauses                    : 167
# ...of the previous two non-trivial   : 145
# Contextual simplify-reflections      : 10
# Paramodulations                      : 167
# Factorizations                       : 0
# NegExts                              : 0
# Equation resolutions                 : 0
# 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  : 58
#    Positive orientable unit clauses  : 16
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 0
#    Non-unit-clauses                  : 42
# Current number of unprocessed clauses: 21
# ...number of literals in the above   : 115
# Current number of archived formulas  : 0
# Current number of archived clauses   : 78
# Clause-clause subsumption calls (NU) : 3299
# Rec. Clause-clause subsumption calls : 1159
# Non-unit clause-clause subsumptions  : 70
# Unit Clause-clause subsumption calls : 22
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 7
# BW rewrite match successes           : 7
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 5625

# -------------------------------------------------
# User time                : 0.025 s
# System time              : 0.004 s
# Total time               : 0.028 s
# Maximum resident set size: 3408 pages
