# No SInE strategy applied
# Trying AutoSched0 for 161 seconds
# AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S039A
# and selection function PSelectUnlessUniqMaxPos.
#
# Preprocessing time       : 0.020 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(t9_surreals, conjecture, ![X1]:(v7_ordinal1(X1)=>![X2, X3]:(v1_xtuple_0(X3)=>((v3_surreal0(k1_surreal0(X3))&v3_surreal0(k2_surreal0(X3)))=>(v3_surreal0(k1_funct_1(k4_surreals(X3,X2),X1))&v3_surreal0(k1_funct_1(k5_surreals(X3,X2),X1)))))), file('surreals/surreals__t9_surreals', t9_surreals)).
fof(t6_surreals, axiom, ![X1, X2]:(v1_xtuple_0(X2)=>(k1_funct_1(k4_surreals(X2,X1),k5_numbers)=k1_surreal0(X2)&k1_funct_1(k5_surreals(X2,X1),k5_numbers)=k2_surreal0(X2))), file('surreals/surreals__t9_surreals', t6_surreals)).
fof(s2_nat_1__e4_16__surreals, axiom, ![X1, X2]:(v1_xtuple_0(X2)=>(((v3_surreal0(k1_funct_1(k4_surreals(X2,X1),k5_numbers))&v3_surreal0(k1_funct_1(k5_surreals(X2,X1),k5_numbers)))&![X3]:(v7_ordinal1(X3)=>((v3_surreal0(k1_funct_1(k4_surreals(X2,X1),X3))&v3_surreal0(k1_funct_1(k5_surreals(X2,X1),X3)))=>(v3_surreal0(k1_funct_1(k4_surreals(X2,X1),k1_nat_1(X3,np__1)))&v3_surreal0(k1_funct_1(k5_surreals(X2,X1),k1_nat_1(X3,np__1)))))))=>![X3]:(v7_ordinal1(X3)=>(v3_surreal0(k1_funct_1(k4_surreals(X2,X1),X3))&v3_surreal0(k1_funct_1(k5_surreals(X2,X1),X3)))))), file('surreals/surreals__t9_surreals', s2_nat_1__e4_16__surreals)).
fof(fc8_surreal0, axiom, ![X1, X2]:((v3_surreal0(X1)&v3_surreal0(X2))=>v3_surreal0(k2_xboole_0(X1,X2))), file('surreals/surreals__t9_surreals', fc8_surreal0)).
fof(t8_surreals, axiom, ![X1]:(v7_ordinal1(X1)=>![X2, X3]:(v1_xtuple_0(X3)=>(k1_funct_1(k4_surreals(X3,X2),k1_nat_1(X1,np__1))=k2_xboole_0(k1_funct_1(k4_surreals(X3,X2),X1),k2_surreals(X2,k1_funct_1(k4_surreals(X3,X2),X1),k1_funct_1(k5_surreals(X3,X2),X1)))&k1_funct_1(k5_surreals(X3,X2),k1_nat_1(X1,np__1))=k2_xboole_0(k2_xboole_0(k1_funct_1(k5_surreals(X3,X2),X1),k2_surreals(X2,k1_funct_1(k4_surreals(X3,X2),X1),k1_funct_1(k4_surreals(X3,X2),X1))),k2_surreals(X2,k1_funct_1(k5_surreals(X3,X2),X1),k1_funct_1(k5_surreals(X3,X2),X1)))))), file('surreals/surreals__t9_surreals', t8_surreals)).
fof(dt_k2_surreals, axiom, ![X1, X2, X3]:v3_surreal0(k2_surreals(X1,X2,X3)), file('surreals/surreals__t9_surreals', dt_k2_surreals)).
fof(c_0_6, negated_conjecture, ~(![X1]:(v7_ordinal1(X1)=>![X2, X3]:(v1_xtuple_0(X3)=>((v3_surreal0(k1_surreal0(X3))&v3_surreal0(k2_surreal0(X3)))=>(v3_surreal0(k1_funct_1(k4_surreals(X3,X2),X1))&v3_surreal0(k1_funct_1(k5_surreals(X3,X2),X1))))))), inference(assume_negation,[status(cth)],[t9_surreals])).
fof(c_0_7, negated_conjecture, (v7_ordinal1(esk1_0)&(v1_xtuple_0(esk3_0)&((v3_surreal0(k1_surreal0(esk3_0))&v3_surreal0(k2_surreal0(esk3_0)))&(~v3_surreal0(k1_funct_1(k4_surreals(esk3_0,esk2_0),esk1_0))|~v3_surreal0(k1_funct_1(k5_surreals(esk3_0,esk2_0),esk1_0)))))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])])).
fof(c_0_8, plain, ![X33, X34]:((k1_funct_1(k4_surreals(X34,X33),k5_numbers)=k1_surreal0(X34)|~v1_xtuple_0(X34))&(k1_funct_1(k5_surreals(X34,X33),k5_numbers)=k2_surreal0(X34)|~v1_xtuple_0(X34))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t6_surreals])])])).
fof(c_0_9, plain, ![X29, X30, X32]:(((v3_surreal0(k1_funct_1(k4_surreals(X30,X29),X32))|~v7_ordinal1(X32)|(v7_ordinal1(esk4_2(X29,X30))|(~v3_surreal0(k1_funct_1(k4_surreals(X30,X29),k5_numbers))|~v3_surreal0(k1_funct_1(k5_surreals(X30,X29),k5_numbers))))|~v1_xtuple_0(X30))&(v3_surreal0(k1_funct_1(k5_surreals(X30,X29),X32))|~v7_ordinal1(X32)|(v7_ordinal1(esk4_2(X29,X30))|(~v3_surreal0(k1_funct_1(k4_surreals(X30,X29),k5_numbers))|~v3_surreal0(k1_funct_1(k5_surreals(X30,X29),k5_numbers))))|~v1_xtuple_0(X30)))&((((v3_surreal0(k1_funct_1(k4_surreals(X30,X29),X32))|~v7_ordinal1(X32)|(v3_surreal0(k1_funct_1(k4_surreals(X30,X29),esk4_2(X29,X30)))|(~v3_surreal0(k1_funct_1(k4_surreals(X30,X29),k5_numbers))|~v3_surreal0(k1_funct_1(k5_surreals(X30,X29),k5_numbers))))|~v1_xtuple_0(X30))&(v3_surreal0(k1_funct_1(k5_surreals(X30,X29),X32))|~v7_ordinal1(X32)|(v3_surreal0(k1_funct_1(k4_surreals(X30,X29),esk4_2(X29,X30)))|(~v3_surreal0(k1_funct_1(k4_surreals(X30,X29),k5_numbers))|~v3_surreal0(k1_funct_1(k5_surreals(X30,X29),k5_numbers))))|~v1_xtuple_0(X30)))&((v3_surreal0(k1_funct_1(k4_surreals(X30,X29),X32))|~v7_ordinal1(X32)|(v3_surreal0(k1_funct_1(k5_surreals(X30,X29),esk4_2(X29,X30)))|(~v3_surreal0(k1_funct_1(k4_surreals(X30,X29),k5_numbers))|~v3_surreal0(k1_funct_1(k5_surreals(X30,X29),k5_numbers))))|~v1_xtuple_0(X30))&(v3_surreal0(k1_funct_1(k5_surreals(X30,X29),X32))|~v7_ordinal1(X32)|(v3_surreal0(k1_funct_1(k5_surreals(X30,X29),esk4_2(X29,X30)))|(~v3_surreal0(k1_funct_1(k4_surreals(X30,X29),k5_numbers))|~v3_surreal0(k1_funct_1(k5_surreals(X30,X29),k5_numbers))))|~v1_xtuple_0(X30))))&((v3_surreal0(k1_funct_1(k4_surreals(X30,X29),X32))|~v7_ordinal1(X32)|(~v3_surreal0(k1_funct_1(k4_surreals(X30,X29),k1_nat_1(esk4_2(X29,X30),np__1)))|~v3_surreal0(k1_funct_1(k5_surreals(X30,X29),k1_nat_1(esk4_2(X29,X30),np__1)))|(~v3_surreal0(k1_funct_1(k4_surreals(X30,X29),k5_numbers))|~v3_surreal0(k1_funct_1(k5_surreals(X30,X29),k5_numbers))))|~v1_xtuple_0(X30))&(v3_surreal0(k1_funct_1(k5_surreals(X30,X29),X32))|~v7_ordinal1(X32)|(~v3_surreal0(k1_funct_1(k4_surreals(X30,X29),k1_nat_1(esk4_2(X29,X30),np__1)))|~v3_surreal0(k1_funct_1(k5_surreals(X30,X29),k1_nat_1(esk4_2(X29,X30),np__1)))|(~v3_surreal0(k1_funct_1(k4_surreals(X30,X29),k5_numbers))|~v3_surreal0(k1_funct_1(k5_surreals(X30,X29),k5_numbers))))|~v1_xtuple_0(X30))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[s2_nat_1__e4_16__surreals])])])])])).
cnf(c_0_10, negated_conjecture, (v3_surreal0(k1_surreal0(esk3_0))), inference(split_conjunct,[status(thm)],[c_0_7])).
cnf(c_0_11, plain, (k1_funct_1(k4_surreals(X1,X2),k5_numbers)=k1_surreal0(X1)|~v1_xtuple_0(X1)), inference(split_conjunct,[status(thm)],[c_0_8])).
cnf(c_0_12, negated_conjecture, (v1_xtuple_0(esk3_0)), inference(split_conjunct,[status(thm)],[c_0_7])).
cnf(c_0_13, negated_conjecture, (v3_surreal0(k2_surreal0(esk3_0))), inference(split_conjunct,[status(thm)],[c_0_7])).
cnf(c_0_14, plain, (k1_funct_1(k5_surreals(X1,X2),k5_numbers)=k2_surreal0(X1)|~v1_xtuple_0(X1)), inference(split_conjunct,[status(thm)],[c_0_8])).
cnf(c_0_15, plain, (v3_surreal0(k1_funct_1(k4_surreals(X1,X2),X3))|v3_surreal0(k1_funct_1(k4_surreals(X1,X2),esk4_2(X2,X1)))|~v7_ordinal1(X3)|~v3_surreal0(k1_funct_1(k4_surreals(X1,X2),k5_numbers))|~v3_surreal0(k1_funct_1(k5_surreals(X1,X2),k5_numbers))|~v1_xtuple_0(X1)), inference(split_conjunct,[status(thm)],[c_0_9])).
cnf(c_0_16, plain, (v3_surreal0(k1_funct_1(k5_surreals(X1,X2),X3))|v7_ordinal1(esk4_2(X2,X1))|~v7_ordinal1(X3)|~v3_surreal0(k1_funct_1(k4_surreals(X1,X2),k5_numbers))|~v3_surreal0(k1_funct_1(k5_surreals(X1,X2),k5_numbers))|~v1_xtuple_0(X1)), inference(split_conjunct,[status(thm)],[c_0_9])).
cnf(c_0_17, negated_conjecture, (v3_surreal0(k1_funct_1(k4_surreals(esk3_0,X1),k5_numbers))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10, c_0_11]), c_0_12])])).
cnf(c_0_18, negated_conjecture, (v3_surreal0(k1_funct_1(k5_surreals(esk3_0,X1),k5_numbers))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13, c_0_14]), c_0_12])])).
fof(c_0_19, plain, ![X27, X28]:(~v3_surreal0(X27)|~v3_surreal0(X28)|v3_surreal0(k2_xboole_0(X27,X28))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc8_surreal0])])).
fof(c_0_20, plain, ![X35, X36, X37]:((k1_funct_1(k4_surreals(X37,X36),k1_nat_1(X35,np__1))=k2_xboole_0(k1_funct_1(k4_surreals(X37,X36),X35),k2_surreals(X36,k1_funct_1(k4_surreals(X37,X36),X35),k1_funct_1(k5_surreals(X37,X36),X35)))|~v1_xtuple_0(X37)|~v7_ordinal1(X35))&(k1_funct_1(k5_surreals(X37,X36),k1_nat_1(X35,np__1))=k2_xboole_0(k2_xboole_0(k1_funct_1(k5_surreals(X37,X36),X35),k2_surreals(X36,k1_funct_1(k4_surreals(X37,X36),X35),k1_funct_1(k4_surreals(X37,X36),X35))),k2_surreals(X36,k1_funct_1(k5_surreals(X37,X36),X35),k1_funct_1(k5_surreals(X37,X36),X35)))|~v1_xtuple_0(X37)|~v7_ordinal1(X35))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t8_surreals])])])])).
fof(c_0_21, plain, ![X24, X25, X26]:v3_surreal0(k2_surreals(X24,X25,X26)), inference(variable_rename,[status(thm)],[dt_k2_surreals])).
cnf(c_0_22, plain, (v3_surreal0(k1_funct_1(k4_surreals(X1,X2),esk4_2(X2,X1)))|~v3_surreal0(k1_funct_1(k4_surreals(X1,X2),k5_numbers))|~v3_surreal0(k1_funct_1(k5_surreals(X1,X2),k5_numbers))|~v1_xtuple_0(X1)|~v7_ordinal1(esk4_2(X2,X1))), inference(ef,[status(thm)],[c_0_15])).
cnf(c_0_23, negated_conjecture, (v3_surreal0(k1_funct_1(k5_surreals(esk3_0,X1),X2))|v7_ordinal1(esk4_2(X1,esk3_0))|~v7_ordinal1(X2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16, c_0_17]), c_0_12])]), c_0_18])])).
cnf(c_0_24, negated_conjecture, (v7_ordinal1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_7])).
cnf(c_0_25, plain, (v3_surreal0(k1_funct_1(k4_surreals(X1,X2),X3))|v7_ordinal1(esk4_2(X2,X1))|~v7_ordinal1(X3)|~v3_surreal0(k1_funct_1(k4_surreals(X1,X2),k5_numbers))|~v3_surreal0(k1_funct_1(k5_surreals(X1,X2),k5_numbers))|~v1_xtuple_0(X1)), inference(split_conjunct,[status(thm)],[c_0_9])).
cnf(c_0_26, plain, (v3_surreal0(k2_xboole_0(X1,X2))|~v3_surreal0(X1)|~v3_surreal0(X2)), inference(split_conjunct,[status(thm)],[c_0_19])).
cnf(c_0_27, plain, (k1_funct_1(k4_surreals(X1,X2),k1_nat_1(X3,np__1))=k2_xboole_0(k1_funct_1(k4_surreals(X1,X2),X3),k2_surreals(X2,k1_funct_1(k4_surreals(X1,X2),X3),k1_funct_1(k5_surreals(X1,X2),X3)))|~v1_xtuple_0(X1)|~v7_ordinal1(X3)), inference(split_conjunct,[status(thm)],[c_0_20])).
cnf(c_0_28, plain, (v3_surreal0(k2_surreals(X1,X2,X3))), inference(split_conjunct,[status(thm)],[c_0_21])).
cnf(c_0_29, negated_conjecture, (v3_surreal0(k1_funct_1(k4_surreals(esk3_0,X1),esk4_2(X1,esk3_0)))|~v7_ordinal1(esk4_2(X1,esk3_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22, c_0_17]), c_0_18]), c_0_12])])).
cnf(c_0_30, negated_conjecture, (v3_surreal0(k1_funct_1(k5_surreals(esk3_0,X1),esk1_0))|v7_ordinal1(esk4_2(X1,esk3_0))), inference(spm,[status(thm)],[c_0_23, c_0_24])).
cnf(c_0_31, negated_conjecture, (v3_surreal0(k1_funct_1(k4_surreals(esk3_0,X1),X2))|v7_ordinal1(esk4_2(X1,esk3_0))|~v7_ordinal1(X2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25, c_0_17]), c_0_12])]), c_0_18])])).
cnf(c_0_32, plain, (v3_surreal0(k1_funct_1(k4_surreals(X1,X2),k1_nat_1(X3,np__1)))|~v3_surreal0(k1_funct_1(k4_surreals(X1,X2),X3))|~v1_xtuple_0(X1)|~v7_ordinal1(X3)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26, c_0_27]), c_0_28])])).
cnf(c_0_33, negated_conjecture, (v3_surreal0(k1_funct_1(k4_surreals(esk3_0,X1),esk4_2(X1,esk3_0)))|v3_surreal0(k1_funct_1(k5_surreals(esk3_0,X1),esk1_0))), inference(spm,[status(thm)],[c_0_29, c_0_30])).
cnf(c_0_34, negated_conjecture, (v3_surreal0(k1_funct_1(k4_surreals(esk3_0,X1),esk1_0))|v7_ordinal1(esk4_2(X1,esk3_0))), inference(spm,[status(thm)],[c_0_31, c_0_24])).
cnf(c_0_35, plain, (k1_funct_1(k5_surreals(X1,X2),k1_nat_1(X3,np__1))=k2_xboole_0(k2_xboole_0(k1_funct_1(k5_surreals(X1,X2),X3),k2_surreals(X2,k1_funct_1(k4_surreals(X1,X2),X3),k1_funct_1(k4_surreals(X1,X2),X3))),k2_surreals(X2,k1_funct_1(k5_surreals(X1,X2),X3),k1_funct_1(k5_surreals(X1,X2),X3)))|~v1_xtuple_0(X1)|~v7_ordinal1(X3)), inference(split_conjunct,[status(thm)],[c_0_20])).
cnf(c_0_36, plain, (v3_surreal0(k1_funct_1(k5_surreals(X1,X2),X3))|v3_surreal0(k1_funct_1(k5_surreals(X1,X2),esk4_2(X2,X1)))|~v7_ordinal1(X3)|~v3_surreal0(k1_funct_1(k4_surreals(X1,X2),k5_numbers))|~v3_surreal0(k1_funct_1(k5_surreals(X1,X2),k5_numbers))|~v1_xtuple_0(X1)), inference(split_conjunct,[status(thm)],[c_0_9])).
cnf(c_0_37, plain, (v3_surreal0(k1_funct_1(k5_surreals(X1,X2),X3))|~v7_ordinal1(X3)|~v3_surreal0(k1_funct_1(k4_surreals(X1,X2),k1_nat_1(esk4_2(X2,X1),np__1)))|~v3_surreal0(k1_funct_1(k5_surreals(X1,X2),k1_nat_1(esk4_2(X2,X1),np__1)))|~v3_surreal0(k1_funct_1(k4_surreals(X1,X2),k5_numbers))|~v3_surreal0(k1_funct_1(k5_surreals(X1,X2),k5_numbers))|~v1_xtuple_0(X1)), inference(split_conjunct,[status(thm)],[c_0_9])).
cnf(c_0_38, negated_conjecture, (v3_surreal0(k1_funct_1(k4_surreals(esk3_0,X1),k1_nat_1(esk4_2(X1,esk3_0),np__1)))|v3_surreal0(k1_funct_1(k5_surreals(esk3_0,X1),esk1_0))), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32, c_0_33]), c_0_12])]), c_0_30])).
cnf(c_0_39, negated_conjecture, (v3_surreal0(k1_funct_1(k4_surreals(esk3_0,X1),esk4_2(X1,esk3_0)))|v3_surreal0(k1_funct_1(k4_surreals(esk3_0,X1),esk1_0))), inference(spm,[status(thm)],[c_0_29, c_0_34])).
cnf(c_0_40, plain, (v3_surreal0(k1_funct_1(k5_surreals(X1,X2),k1_nat_1(X3,np__1)))|~v3_surreal0(k2_xboole_0(k1_funct_1(k5_surreals(X1,X2),X3),k2_surreals(X2,k1_funct_1(k4_surreals(X1,X2),X3),k1_funct_1(k4_surreals(X1,X2),X3))))|~v1_xtuple_0(X1)|~v7_ordinal1(X3)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26, c_0_35]), c_0_28])])).
cnf(c_0_41, negated_conjecture, (v3_surreal0(k1_funct_1(k5_surreals(esk3_0,X1),esk4_2(X1,esk3_0)))|v3_surreal0(k1_funct_1(k5_surreals(esk3_0,X1),X2))|~v7_ordinal1(X2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36, c_0_17]), c_0_18]), c_0_12])])).
cnf(c_0_42, negated_conjecture, (v3_surreal0(k1_funct_1(k5_surreals(esk3_0,X1),esk1_0))|v3_surreal0(k1_funct_1(k5_surreals(esk3_0,X1),X2))|~v3_surreal0(k1_funct_1(k5_surreals(esk3_0,X1),k1_nat_1(esk4_2(X1,esk3_0),np__1)))|~v7_ordinal1(X2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37, c_0_38]), c_0_17]), c_0_18]), c_0_12])])).
cnf(c_0_43, plain, (v3_surreal0(k1_funct_1(k4_surreals(X1,X2),X3))|~v7_ordinal1(X3)|~v3_surreal0(k1_funct_1(k4_surreals(X1,X2),k1_nat_1(esk4_2(X2,X1),np__1)))|~v3_surreal0(k1_funct_1(k5_surreals(X1,X2),k1_nat_1(esk4_2(X2,X1),np__1)))|~v3_surreal0(k1_funct_1(k4_surreals(X1,X2),k5_numbers))|~v3_surreal0(k1_funct_1(k5_surreals(X1,X2),k5_numbers))|~v1_xtuple_0(X1)), inference(split_conjunct,[status(thm)],[c_0_9])).
cnf(c_0_44, negated_conjecture, (v3_surreal0(k1_funct_1(k4_surreals(esk3_0,X1),k1_nat_1(esk4_2(X1,esk3_0),np__1)))|v3_surreal0(k1_funct_1(k4_surreals(esk3_0,X1),esk1_0))), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32, c_0_39]), c_0_12])]), c_0_34])).
cnf(c_0_45, plain, (v3_surreal0(k1_funct_1(k5_surreals(X1,X2),k1_nat_1(X3,np__1)))|~v3_surreal0(k1_funct_1(k5_surreals(X1,X2),X3))|~v1_xtuple_0(X1)|~v7_ordinal1(X3)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40, c_0_26]), c_0_28])])).
cnf(c_0_46, negated_conjecture, (v3_surreal0(k1_funct_1(k5_surreals(esk3_0,X1),esk4_2(X1,esk3_0)))|v3_surreal0(k1_funct_1(k5_surreals(esk3_0,X1),esk1_0))), inference(spm,[status(thm)],[c_0_41, c_0_24])).
cnf(c_0_47, negated_conjecture, (v3_surreal0(k1_funct_1(k5_surreals(esk3_0,X1),esk1_0))|~v3_surreal0(k1_funct_1(k5_surreals(esk3_0,X1),k1_nat_1(esk4_2(X1,esk3_0),np__1)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(ef,[status(thm)],[c_0_42]), c_0_24])])).
cnf(c_0_48, negated_conjecture, (v3_surreal0(k1_funct_1(k5_surreals(esk3_0,X1),esk4_2(X1,esk3_0)))|~v7_ordinal1(esk4_2(X1,esk3_0))), inference(ef,[status(thm)],[c_0_41])).
cnf(c_0_49, negated_conjecture, (v3_surreal0(k1_funct_1(k4_surreals(esk3_0,X1),esk1_0))|v3_surreal0(k1_funct_1(k4_surreals(esk3_0,X1),X2))|~v3_surreal0(k1_funct_1(k5_surreals(esk3_0,X1),k1_nat_1(esk4_2(X1,esk3_0),np__1)))|~v7_ordinal1(X2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43, c_0_44]), c_0_17]), c_0_18]), c_0_12])])).
cnf(c_0_50, negated_conjecture, (~v3_surreal0(k1_funct_1(k4_surreals(esk3_0,esk2_0),esk1_0))|~v3_surreal0(k1_funct_1(k5_surreals(esk3_0,esk2_0),esk1_0))), inference(split_conjunct,[status(thm)],[c_0_7])).
cnf(c_0_51, negated_conjecture, (v3_surreal0(k1_funct_1(k5_surreals(esk3_0,X1),esk1_0))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45, c_0_46]), c_0_12])]), c_0_30]), c_0_47])).
cnf(c_0_52, negated_conjecture, (v3_surreal0(k1_funct_1(k5_surreals(esk3_0,X1),esk4_2(X1,esk3_0)))|v3_surreal0(k1_funct_1(k4_surreals(esk3_0,X1),esk1_0))), inference(spm,[status(thm)],[c_0_48, c_0_34])).
cnf(c_0_53, negated_conjecture, (v3_surreal0(k1_funct_1(k4_surreals(esk3_0,X1),esk1_0))|~v3_surreal0(k1_funct_1(k5_surreals(esk3_0,X1),k1_nat_1(esk4_2(X1,esk3_0),np__1)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(ef,[status(thm)],[c_0_49]), c_0_24])])).
cnf(c_0_54, negated_conjecture, (~v3_surreal0(k1_funct_1(k4_surreals(esk3_0,esk2_0),esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_50, c_0_51])])).
cnf(c_0_55, negated_conjecture, (v3_surreal0(k1_funct_1(k4_surreals(esk3_0,X1),esk1_0))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45, c_0_52]), c_0_12])]), c_0_34]), c_0_53])).
cnf(c_0_56, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_54, c_0_55])]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 57
# Proof object clause steps            : 44
# Proof object formula steps           : 13
# Proof object conjectures             : 31
# Proof object clause conjectures      : 28
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 17
# Proof object initial formulas used   : 6
# Proof object generating inferences   : 25
# Proof object simplifying inferences  : 54
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 6
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 19
# Removed in clause preprocessing      : 0
# Initial clauses in saturation        : 19
# Processed clauses                    : 298
# ...of these trivial                  : 0
# ...subsumed                          : 139
# ...remaining for further processing  : 159
# Other redundant clauses eliminated   : 0
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 20
# Backward-rewritten                   : 50
# Generated clauses                    : 612
# ...of the previous two non-trivial   : 603
# Contextual simplify-reflections      : 8
# Paramodulations                      : 580
# Factorizations                       : 32
# 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  : 70
#    Positive orientable unit clauses  : 10
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 0
#    Non-unit-clauses                  : 60
# Current number of unprocessed clauses: 328
# ...number of literals in the above   : 1614
# Current number of archived formulas  : 0
# Current number of archived clauses   : 89
# Clause-clause subsumption calls (NU) : 6206
# Rec. Clause-clause subsumption calls : 1335
# Non-unit clause-clause subsumptions  : 165
# Unit Clause-clause subsumption calls : 102
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 15
# BW rewrite match successes           : 8
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 20718

# -------------------------------------------------
# User time                : 0.040 s
# System time              : 0.000 s
# Total time               : 0.040 s
# Maximum resident set size: 3640 pages
