# 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       : 0.017 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(ie1_surreali, axiom, ![X1, X2, X3, X4]:((v2_surreal0(X1)&v2_surreal0(X2))=>((X1=X3&X2=X4)=>k16_surrealr(X1,X2)=k1_surreali(X3,X4))), file('surrealc/surrealc__t22_surrealc', ie1_surreali)).
fof(t22_surrealc, conjecture, ![X1, X2]:(v2_surreal0(X2)=>(r2_hidden(X1,k1_surreal0(k3_surrealc(X2)))<=>~((X1!=k11_surreal0&![X3]:(v2_surreal0(X3)=>![X4]:((v1_xreal_0(X4)&v2_xxreal_0(X4))=>~((r2_tarski(X3,k1_surreal0(X2))&X1=k16_surrealr(k3_surrealc(X3),k1_funct_1(k6_surrealn,X4)))))))))), file('surrealc/surrealc__t22_surrealc', t22_surrealc)).
fof(fc1_surrealc, axiom, ![X1]:(v2_surreal0(X1)=>v2_surreal0(k3_surrealc(X1))), file('surrealc/surrealc__t22_surrealc', fc1_surrealc)).
fof(fc13_surrealn, axiom, ![X1]:(v1_xreal_0(X1)=>v2_surreal0(k1_funct_1(k6_surrealn,X1))), file('surrealc/surrealc__t22_surrealc', fc13_surrealn)).
fof(l30_surrealc, axiom, ![X1, X2]:(v2_surreal0(X2)=>((((v1_xtuple_0(k3_surrealc(X2))&~(((r2_hidden(X1,k1_surreal0(k3_surrealc(X2)))&X1!=k11_surreal0)&![X3]:(v2_surreal0(X3)=>![X4]:((v1_xreal_0(X4)&v2_xxreal_0(X4))=>~((r2_tarski(X3,k1_surreal0(X2))&X1=k1_surreali(k3_surrealc(X3),k1_funct_1(k6_surrealn,X4)))))))))&(~((X1!=k11_surreal0&![X3]:(v2_surreal0(X3)=>![X4]:((v1_xreal_0(X4)&v2_xxreal_0(X4))=>~((r2_tarski(X3,k1_surreal0(X2))&X1=k1_surreali(k3_surrealc(X3),k1_funct_1(k6_surrealn,X4))))))))=>r2_hidden(X1,k1_surreal0(k3_surrealc(X2)))))&~((r2_hidden(X1,k2_surreal0(k3_surrealc(X2)))&![X3]:(v2_surreal0(X3)=>![X4]:((v1_xreal_0(X4)&v2_xxreal_0(X4))=>~((r2_tarski(X3,k2_surreal0(X2))&X1=k1_surreali(k3_surrealc(X3),k1_funct_1(k6_surrealn,X4)))))))))&(?[X3]:(v2_surreal0(X3)&?[X4]:(((v1_xreal_0(X4)&v2_xxreal_0(X4))&r2_tarski(X3,k2_surreal0(X2)))&X1=k1_surreali(k3_surrealc(X3),k1_funct_1(k6_surrealn,X4))))=>r2_hidden(X1,k2_surreal0(k3_surrealc(X2)))))), file('surrealc/surrealc__t22_surrealc', l30_surrealc)).
fof(c_0_5, plain, ![X33, X34, X35, X36]:(~v2_surreal0(X33)|~v2_surreal0(X34)|(X33!=X35|X34!=X36|k16_surrealr(X33,X34)=k1_surreali(X35,X36))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ie1_surreali])])).
fof(c_0_6, negated_conjecture, ~(![X1, X2]:(v2_surreal0(X2)=>(r2_hidden(X1,k1_surreal0(k3_surrealc(X2)))<=>~((X1!=k11_surreal0&![X3]:(v2_surreal0(X3)=>![X4]:((v1_xreal_0(X4)&v2_xxreal_0(X4))=>~((r2_tarski(X3,k1_surreal0(X2))&X1=k16_surrealr(k3_surrealc(X3),k1_funct_1(k6_surrealn,X4))))))))))), inference(assume_negation,[status(cth)],[t22_surrealc])).
fof(c_0_7, plain, ![X1, X2]:(epred1_2(X2,X1)<=>((((v1_xtuple_0(k3_surrealc(X2))&~(((r2_hidden(X1,k1_surreal0(k3_surrealc(X2)))&X1!=k11_surreal0)&![X3]:(v2_surreal0(X3)=>![X4]:((v1_xreal_0(X4)&v2_xxreal_0(X4))=>~((r2_tarski(X3,k1_surreal0(X2))&X1=k1_surreali(k3_surrealc(X3),k1_funct_1(k6_surrealn,X4)))))))))&(~((X1!=k11_surreal0&![X3]:(v2_surreal0(X3)=>![X4]:((v1_xreal_0(X4)&v2_xxreal_0(X4))=>~((r2_tarski(X3,k1_surreal0(X2))&X1=k1_surreali(k3_surrealc(X3),k1_funct_1(k6_surrealn,X4))))))))=>r2_hidden(X1,k1_surreal0(k3_surrealc(X2)))))&~((r2_hidden(X1,k2_surreal0(k3_surrealc(X2)))&![X3]:(v2_surreal0(X3)=>![X4]:((v1_xreal_0(X4)&v2_xxreal_0(X4))=>~((r2_tarski(X3,k2_surreal0(X2))&X1=k1_surreali(k3_surrealc(X3),k1_funct_1(k6_surrealn,X4)))))))))&(?[X3]:(v2_surreal0(X3)&?[X4]:(((v1_xreal_0(X4)&v2_xxreal_0(X4))&r2_tarski(X3,k2_surreal0(X2)))&X1=k1_surreali(k3_surrealc(X3),k1_funct_1(k6_surrealn,X4))))=>r2_hidden(X1,k2_surreal0(k3_surrealc(X2)))))), introduced(definition)).
cnf(c_0_8, plain, (k16_surrealr(X1,X2)=k1_surreali(X3,X4)|~v2_surreal0(X1)|~v2_surreal0(X2)|X1!=X3|X2!=X4), inference(split_conjunct,[status(thm)],[c_0_5])).
fof(c_0_9, negated_conjecture, ![X27, X28]:(v2_surreal0(esk2_0)&(((esk1_0!=k11_surreal0|~r2_hidden(esk1_0,k1_surreal0(k3_surrealc(esk2_0))))&(~v2_surreal0(X27)|(~v1_xreal_0(X28)|~v2_xxreal_0(X28)|(~r2_tarski(X27,k1_surreal0(esk2_0))|esk1_0!=k16_surrealr(k3_surrealc(X27),k1_funct_1(k6_surrealn,X28))))|~r2_hidden(esk1_0,k1_surreal0(k3_surrealc(esk2_0)))))&((v2_surreal0(esk3_0)|esk1_0=k11_surreal0|r2_hidden(esk1_0,k1_surreal0(k3_surrealc(esk2_0))))&(((v1_xreal_0(esk4_0)|esk1_0=k11_surreal0|r2_hidden(esk1_0,k1_surreal0(k3_surrealc(esk2_0))))&(v2_xxreal_0(esk4_0)|esk1_0=k11_surreal0|r2_hidden(esk1_0,k1_surreal0(k3_surrealc(esk2_0)))))&((r2_tarski(esk3_0,k1_surreal0(esk2_0))|esk1_0=k11_surreal0|r2_hidden(esk1_0,k1_surreal0(k3_surrealc(esk2_0))))&(esk1_0=k16_surrealr(k3_surrealc(esk3_0),k1_funct_1(k6_surrealn,esk4_0))|esk1_0=k11_surreal0|r2_hidden(esk1_0,k1_surreal0(k3_surrealc(esk2_0))))))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])])])])).
fof(c_0_10, plain, ![X1, X2]:(epred1_2(X2,X1)=>((((v1_xtuple_0(k3_surrealc(X2))&~(((r2_hidden(X1,k1_surreal0(k3_surrealc(X2)))&X1!=k11_surreal0)&![X3]:(v2_surreal0(X3)=>![X4]:((v1_xreal_0(X4)&v2_xxreal_0(X4))=>~((r2_tarski(X3,k1_surreal0(X2))&X1=k1_surreali(k3_surrealc(X3),k1_funct_1(k6_surrealn,X4)))))))))&(~((X1!=k11_surreal0&![X3]:(v2_surreal0(X3)=>![X4]:((v1_xreal_0(X4)&v2_xxreal_0(X4))=>~((r2_tarski(X3,k1_surreal0(X2))&X1=k1_surreali(k3_surrealc(X3),k1_funct_1(k6_surrealn,X4))))))))=>r2_hidden(X1,k1_surreal0(k3_surrealc(X2)))))&~((r2_hidden(X1,k2_surreal0(k3_surrealc(X2)))&![X3]:(v2_surreal0(X3)=>![X4]:((v1_xreal_0(X4)&v2_xxreal_0(X4))=>~((r2_tarski(X3,k2_surreal0(X2))&X1=k1_surreali(k3_surrealc(X3),k1_funct_1(k6_surrealn,X4)))))))))&(?[X3]:(v2_surreal0(X3)&?[X4]:(((v1_xreal_0(X4)&v2_xxreal_0(X4))&r2_tarski(X3,k2_surreal0(X2)))&X1=k1_surreali(k3_surrealc(X3),k1_funct_1(k6_surrealn,X4))))=>r2_hidden(X1,k2_surreal0(k3_surrealc(X2)))))), inference(split_equiv,[status(thm)],[c_0_7])).
cnf(c_0_11, plain, (k16_surrealr(X1,X2)=k1_surreali(X1,X2)|~v2_surreal0(X2)|~v2_surreal0(X1)), inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_8])])).
cnf(c_0_12, negated_conjecture, (esk1_0=k16_surrealr(k3_surrealc(esk3_0),k1_funct_1(k6_surrealn,esk4_0))|esk1_0=k11_surreal0|r2_hidden(esk1_0,k1_surreal0(k3_surrealc(esk2_0)))), inference(split_conjunct,[status(thm)],[c_0_9])).
fof(c_0_13, plain, ![X32]:(~v2_surreal0(X32)|v2_surreal0(k3_surrealc(X32))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc1_surrealc])])).
fof(c_0_14, plain, ![X39, X40, X43, X44, X47, X48]:(((((v1_xtuple_0(k3_surrealc(X40))|~epred1_2(X40,X39))&((v2_surreal0(esk5_2(X39,X40))|(~r2_hidden(X39,k1_surreal0(k3_surrealc(X40)))|X39=k11_surreal0)|~epred1_2(X40,X39))&(((v1_xreal_0(esk6_2(X39,X40))|(~r2_hidden(X39,k1_surreal0(k3_surrealc(X40)))|X39=k11_surreal0)|~epred1_2(X40,X39))&(v2_xxreal_0(esk6_2(X39,X40))|(~r2_hidden(X39,k1_surreal0(k3_surrealc(X40)))|X39=k11_surreal0)|~epred1_2(X40,X39)))&((r2_tarski(esk5_2(X39,X40),k1_surreal0(X40))|(~r2_hidden(X39,k1_surreal0(k3_surrealc(X40)))|X39=k11_surreal0)|~epred1_2(X40,X39))&(X39=k1_surreali(k3_surrealc(esk5_2(X39,X40)),k1_funct_1(k6_surrealn,esk6_2(X39,X40)))|(~r2_hidden(X39,k1_surreal0(k3_surrealc(X40)))|X39=k11_surreal0)|~epred1_2(X40,X39))))))&((X39!=k11_surreal0|r2_hidden(X39,k1_surreal0(k3_surrealc(X40)))|~epred1_2(X40,X39))&(~v2_surreal0(X43)|(~v1_xreal_0(X44)|~v2_xxreal_0(X44)|(~r2_tarski(X43,k1_surreal0(X40))|X39!=k1_surreali(k3_surrealc(X43),k1_funct_1(k6_surrealn,X44))))|r2_hidden(X39,k1_surreal0(k3_surrealc(X40)))|~epred1_2(X40,X39))))&((v2_surreal0(esk7_2(X39,X40))|~r2_hidden(X39,k2_surreal0(k3_surrealc(X40)))|~epred1_2(X40,X39))&(((v1_xreal_0(esk8_2(X39,X40))|~r2_hidden(X39,k2_surreal0(k3_surrealc(X40)))|~epred1_2(X40,X39))&(v2_xxreal_0(esk8_2(X39,X40))|~r2_hidden(X39,k2_surreal0(k3_surrealc(X40)))|~epred1_2(X40,X39)))&((r2_tarski(esk7_2(X39,X40),k2_surreal0(X40))|~r2_hidden(X39,k2_surreal0(k3_surrealc(X40)))|~epred1_2(X40,X39))&(X39=k1_surreali(k3_surrealc(esk7_2(X39,X40)),k1_funct_1(k6_surrealn,esk8_2(X39,X40)))|~r2_hidden(X39,k2_surreal0(k3_surrealc(X40)))|~epred1_2(X40,X39))))))&(~v2_surreal0(X47)|(~v1_xreal_0(X48)|~v2_xxreal_0(X48)|~r2_tarski(X47,k2_surreal0(X40))|X39!=k1_surreali(k3_surrealc(X47),k1_funct_1(k6_surrealn,X48)))|r2_hidden(X39,k2_surreal0(k3_surrealc(X40)))|~epred1_2(X40,X39))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])])])])).
cnf(c_0_15, negated_conjecture, (k1_surreali(k3_surrealc(esk3_0),k1_funct_1(k6_surrealn,esk4_0))=esk1_0|k11_surreal0=esk1_0|r2_hidden(esk1_0,k1_surreal0(k3_surrealc(esk2_0)))|~v2_surreal0(k1_funct_1(k6_surrealn,esk4_0))|~v2_surreal0(k3_surrealc(esk3_0))), inference(spm,[status(thm)],[c_0_11, c_0_12])).
cnf(c_0_16, plain, (v2_surreal0(k3_surrealc(X1))|~v2_surreal0(X1)), inference(split_conjunct,[status(thm)],[c_0_13])).
cnf(c_0_17, negated_conjecture, (v2_surreal0(esk3_0)|esk1_0=k11_surreal0|r2_hidden(esk1_0,k1_surreal0(k3_surrealc(esk2_0)))), inference(split_conjunct,[status(thm)],[c_0_9])).
fof(c_0_18, plain, ![X31]:(~v1_xreal_0(X31)|v2_surreal0(k1_funct_1(k6_surrealn,X31))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc13_surrealn])])).
cnf(c_0_19, plain, (r2_hidden(X4,k1_surreal0(k3_surrealc(X3)))|~v2_surreal0(X1)|~v1_xreal_0(X2)|~v2_xxreal_0(X2)|~r2_tarski(X1,k1_surreal0(X3))|X4!=k1_surreali(k3_surrealc(X1),k1_funct_1(k6_surrealn,X2))|~epred1_2(X3,X4)), inference(split_conjunct,[status(thm)],[c_0_14])).
cnf(c_0_20, negated_conjecture, (k1_surreali(k3_surrealc(esk3_0),k1_funct_1(k6_surrealn,esk4_0))=esk1_0|k11_surreal0=esk1_0|r2_hidden(esk1_0,k1_surreal0(k3_surrealc(esk2_0)))|~v2_surreal0(k1_funct_1(k6_surrealn,esk4_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_15, c_0_16]), c_0_17])).
cnf(c_0_21, plain, (v2_surreal0(k1_funct_1(k6_surrealn,X1))|~v1_xreal_0(X1)), inference(split_conjunct,[status(thm)],[c_0_18])).
cnf(c_0_22, negated_conjecture, (v1_xreal_0(esk4_0)|esk1_0=k11_surreal0|r2_hidden(esk1_0,k1_surreal0(k3_surrealc(esk2_0)))), inference(split_conjunct,[status(thm)],[c_0_9])).
cnf(c_0_23, plain, (r2_hidden(k1_surreali(k3_surrealc(X1),k1_funct_1(k6_surrealn,X2)),k1_surreal0(k3_surrealc(X3)))|~epred1_2(X3,k1_surreali(k3_surrealc(X1),k1_funct_1(k6_surrealn,X2)))|~r2_tarski(X1,k1_surreal0(X3))|~v2_xxreal_0(X2)|~v1_xreal_0(X2)|~v2_surreal0(X1)), inference(er,[status(thm)],[c_0_19])).
cnf(c_0_24, negated_conjecture, (k1_surreali(k3_surrealc(esk3_0),k1_funct_1(k6_surrealn,esk4_0))=esk1_0|k11_surreal0=esk1_0|r2_hidden(esk1_0,k1_surreal0(k3_surrealc(esk2_0)))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_20, c_0_21]), c_0_22])).
cnf(c_0_25, negated_conjecture, (v2_xxreal_0(esk4_0)|esk1_0=k11_surreal0|r2_hidden(esk1_0,k1_surreal0(k3_surrealc(esk2_0)))), inference(split_conjunct,[status(thm)],[c_0_9])).
fof(c_0_26, axiom, ![X1, X2]:(v2_surreal0(X2)=>epred1_2(X2,X1)), inference(apply_def,[status(thm)],[l30_surrealc, c_0_7])).
cnf(c_0_27, negated_conjecture, (k11_surreal0=esk1_0|r2_hidden(esk1_0,k1_surreal0(k3_surrealc(esk2_0)))|r2_hidden(esk1_0,k1_surreal0(k3_surrealc(X1)))|~epred1_2(X1,esk1_0)|~r2_tarski(esk3_0,k1_surreal0(X1))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_23, c_0_24]), c_0_17]), c_0_22]), c_0_25])).
cnf(c_0_28, negated_conjecture, (r2_tarski(esk3_0,k1_surreal0(esk2_0))|esk1_0=k11_surreal0|r2_hidden(esk1_0,k1_surreal0(k3_surrealc(esk2_0)))), inference(split_conjunct,[status(thm)],[c_0_9])).
fof(c_0_29, plain, ![X37, X38]:(~v2_surreal0(X38)|epred1_2(X38,X37)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_26])])).
cnf(c_0_30, negated_conjecture, (k11_surreal0=esk1_0|r2_hidden(esk1_0,k1_surreal0(k3_surrealc(esk2_0)))|~epred1_2(esk2_0,esk1_0)), inference(spm,[status(thm)],[c_0_27, c_0_28])).
cnf(c_0_31, plain, (epred1_2(X1,X2)|~v2_surreal0(X1)), inference(split_conjunct,[status(thm)],[c_0_29])).
cnf(c_0_32, negated_conjecture, (v2_surreal0(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_9])).
cnf(c_0_33, plain, (X1=k1_surreali(k3_surrealc(esk5_2(X1,X2)),k1_funct_1(k6_surrealn,esk6_2(X1,X2)))|X1=k11_surreal0|~r2_hidden(X1,k1_surreal0(k3_surrealc(X2)))|~epred1_2(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_14])).
cnf(c_0_34, negated_conjecture, (k11_surreal0=esk1_0|r2_hidden(esk1_0,k1_surreal0(k3_surrealc(esk2_0)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30, c_0_31]), c_0_32])])).
cnf(c_0_35, plain, (v2_surreal0(esk5_2(X1,X2))|X1=k11_surreal0|~r2_hidden(X1,k1_surreal0(k3_surrealc(X2)))|~epred1_2(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_14])).
cnf(c_0_36, plain, (v1_xreal_0(esk6_2(X1,X2))|X1=k11_surreal0|~r2_hidden(X1,k1_surreal0(k3_surrealc(X2)))|~epred1_2(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_14])).
cnf(c_0_37, plain, (v2_xxreal_0(esk6_2(X1,X2))|X1=k11_surreal0|~r2_hidden(X1,k1_surreal0(k3_surrealc(X2)))|~epred1_2(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_14])).
cnf(c_0_38, plain, (r2_tarski(esk5_2(X1,X2),k1_surreal0(X2))|X1=k11_surreal0|~r2_hidden(X1,k1_surreal0(k3_surrealc(X2)))|~epred1_2(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_14])).
cnf(c_0_39, negated_conjecture, (~v2_surreal0(X1)|~v1_xreal_0(X2)|~v2_xxreal_0(X2)|~r2_tarski(X1,k1_surreal0(esk2_0))|esk1_0!=k16_surrealr(k3_surrealc(X1),k1_funct_1(k6_surrealn,X2))|~r2_hidden(esk1_0,k1_surreal0(k3_surrealc(esk2_0)))), inference(split_conjunct,[status(thm)],[c_0_9])).
cnf(c_0_40, plain, (k1_surreali(k3_surrealc(esk5_2(esk1_0,esk2_0)),k1_funct_1(k6_surrealn,esk6_2(esk1_0,esk2_0)))=esk1_0|k11_surreal0=esk1_0|~epred1_2(esk2_0,esk1_0)), inference(spm,[status(thm)],[c_0_33, c_0_34])).
cnf(c_0_41, plain, (k11_surreal0=esk1_0|v2_surreal0(esk5_2(esk1_0,esk2_0))|~epred1_2(esk2_0,esk1_0)), inference(spm,[status(thm)],[c_0_35, c_0_34])).
cnf(c_0_42, plain, (k11_surreal0=esk1_0|v1_xreal_0(esk6_2(esk1_0,esk2_0))|~epred1_2(esk2_0,esk1_0)), inference(spm,[status(thm)],[c_0_36, c_0_34])).
cnf(c_0_43, plain, (k11_surreal0=esk1_0|v2_xxreal_0(esk6_2(esk1_0,esk2_0))|~epred1_2(esk2_0,esk1_0)), inference(spm,[status(thm)],[c_0_37, c_0_34])).
cnf(c_0_44, plain, (k11_surreal0=esk1_0|r2_tarski(esk5_2(esk1_0,esk2_0),k1_surreal0(esk2_0))|~epred1_2(esk2_0,esk1_0)), inference(spm,[status(thm)],[c_0_38, c_0_34])).
cnf(c_0_45, negated_conjecture, (k1_surreali(k3_surrealc(X1),k1_funct_1(k6_surrealn,X2))!=esk1_0|~r2_tarski(X1,k1_surreal0(esk2_0))|~v2_xxreal_0(X2)|~v1_xreal_0(X2)|~r2_hidden(esk1_0,k1_surreal0(k3_surrealc(esk2_0)))|~v2_surreal0(X1)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_39, c_0_11]), c_0_16]), c_0_21])).
cnf(c_0_46, plain, (k1_surreali(k3_surrealc(esk5_2(esk1_0,esk2_0)),k1_funct_1(k6_surrealn,esk6_2(esk1_0,esk2_0)))=esk1_0|k11_surreal0=esk1_0), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40, c_0_31]), c_0_32])])).
cnf(c_0_47, plain, (k11_surreal0=esk1_0|v2_surreal0(esk5_2(esk1_0,esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41, c_0_31]), c_0_32])])).
cnf(c_0_48, plain, (k11_surreal0=esk1_0|v1_xreal_0(esk6_2(esk1_0,esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42, c_0_31]), c_0_32])])).
cnf(c_0_49, plain, (k11_surreal0=esk1_0|v2_xxreal_0(esk6_2(esk1_0,esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43, c_0_31]), c_0_32])])).
cnf(c_0_50, plain, (k11_surreal0=esk1_0|r2_tarski(esk5_2(esk1_0,esk2_0),k1_surreal0(esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44, c_0_31]), c_0_32])])).
cnf(c_0_51, plain, (r2_hidden(X1,k1_surreal0(k3_surrealc(X2)))|X1!=k11_surreal0|~epred1_2(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_14])).
cnf(c_0_52, negated_conjecture, (esk1_0!=k11_surreal0|~r2_hidden(esk1_0,k1_surreal0(k3_surrealc(esk2_0)))), inference(split_conjunct,[status(thm)],[c_0_9])).
cnf(c_0_53, negated_conjecture, (k11_surreal0=esk1_0), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_45, c_0_46]), c_0_47]), c_0_34]), c_0_48]), c_0_49]), c_0_50])).
cnf(c_0_54, plain, (r2_hidden(k11_surreal0,k1_surreal0(k3_surrealc(X1)))|~epred1_2(X1,k11_surreal0)), inference(er,[status(thm)],[c_0_51])).
cnf(c_0_55, negated_conjecture, (~r2_hidden(esk1_0,k1_surreal0(k3_surrealc(esk2_0)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_52, c_0_53])])).
cnf(c_0_56, plain, (r2_hidden(esk1_0,k1_surreal0(k3_surrealc(X1)))|~epred1_2(X1,esk1_0)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_54, c_0_53]), c_0_53])).
cnf(c_0_57, negated_conjecture, (~epred1_2(esk2_0,esk1_0)), inference(spm,[status(thm)],[c_0_55, c_0_56])).
cnf(c_0_58, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57, c_0_31]), c_0_32])]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 59
# Proof object clause steps            : 44
# Proof object formula steps           : 15
# Proof object conjectures             : 22
# Proof object clause conjectures      : 19
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 19
# Proof object initial formulas used   : 5
# Proof object generating inferences   : 20
# Proof object simplifying inferences  : 34
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 5
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 26
# Removed in clause preprocessing      : 0
# Initial clauses in saturation        : 26
# Processed clauses                    : 87
# ...of these trivial                  : 0
# ...subsumed                          : 0
# ...remaining for further processing  : 87
# Other redundant clauses eliminated   : 6
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 23
# Backward-rewritten                   : 14
# Generated clauses                    : 52
# ...of the previous two non-trivial   : 55
# Contextual simplify-reflections      : 12
# Paramodulations                      : 47
# Factorizations                       : 0
# NegExts                              : 0
# Equation resolutions                 : 6
# 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  : 20
#    Positive orientable unit clauses  : 2
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 2
#    Non-unit-clauses                  : 16
# Current number of unprocessed clauses: 19
# ...number of literals in the above   : 123
# Current number of archived formulas  : 0
# Current number of archived clauses   : 63
# Clause-clause subsumption calls (NU) : 461
# Rec. Clause-clause subsumption calls : 136
# Non-unit clause-clause subsumptions  : 35
# Unit Clause-clause subsumption calls : 2
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 1
# BW rewrite match successes           : 1
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 4107

# -------------------------------------------------
# User time                : 0.023 s
# System time              : 0.000 s
# Total time               : 0.023 s
# Maximum resident set size: 2916 pages
