# No SInE strategy applied
# Trying AutoSched0 for 161 seconds
# AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S011N
# and selection function PSelectDiffNegLit.
#
# Preprocessing time       : 0.019 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(d2_surreals, axiom, ![X1, X2, X3, X4]:(v3_surreal0(X4)=>(X4=k2_surreals(X1,X2,X3)<=>![X5]:(r2_hidden(X5,X4)<=>?[X6]:(v2_surreal0(X6)&?[X7]:((((v2_surreal0(X7)&r2_tarski(X6,X2))&r2_tarski(X7,X3))&~(r2_surrealo(k8_surrealr(X6,X7),k11_surreal0)))&X5=k16_surrealr(k12_surrealr(X1,k16_surrealr(X6,X7)),k12_surreali(k8_surrealr(X6,X7)))))))), file('surreals/surreals__t11_surreals', d2_surreals)).
fof(dt_k2_surreals, axiom, ![X1, X2, X3]:v3_surreal0(k2_surreals(X1,X2,X3)), file('surreals/surreals__t11_surreals', dt_k2_surreals)).
fof(d3_tarski, axiom, ![X1, X2]:(r1_tarski(X1,X2)<=>![X3]:(r2_hidden(X3,X1)=>r2_hidden(X3,X2))), file('surreals/surreals__t11_surreals', d3_tarski)).
fof(redefinition_r2_tarski, axiom, ![X1, X2]:(r2_tarski(X1,X2)<=>r2_hidden(X1,X2)), file('surreals/surreals__t11_surreals', redefinition_r2_tarski)).
fof(t11_surreals, conjecture, ![X1, X2, X3, X4, X5]:((r1_tarski(X2,X3)&r1_tarski(X4,X5))=>r1_tarski(k2_surreals(X1,X2,X4),k2_surreals(X1,X3,X5))), file('surreals/surreals__t11_surreals', t11_surreals)).
fof(c_0_5, plain, ![X1, X2, X3, X4]:(v3_surreal0(X4)=>(X4=k2_surreals(X1,X2,X3)<=>![X5]:(r2_hidden(X5,X4)<=>?[X6]:(v2_surreal0(X6)&?[X7]:((((v2_surreal0(X7)&r2_tarski(X6,X2))&r2_tarski(X7,X3))&~r2_surrealo(k8_surrealr(X6,X7),k11_surreal0))&X5=k16_surrealr(k12_surrealr(X1,k16_surrealr(X6,X7)),k12_surreali(k8_surrealr(X6,X7)))))))), inference(fof_simplification,[status(thm)],[d2_surreals])).
fof(c_0_6, plain, ![X33, X34, X35, X36, X37, X40, X41, X42, X44, X45]:((((v2_surreal0(esk6_5(X33,X34,X35,X36,X37))|~r2_hidden(X37,X36)|X36!=k2_surreals(X33,X34,X35)|~v3_surreal0(X36))&(((((v2_surreal0(esk7_5(X33,X34,X35,X36,X37))|~r2_hidden(X37,X36)|X36!=k2_surreals(X33,X34,X35)|~v3_surreal0(X36))&(r2_tarski(esk6_5(X33,X34,X35,X36,X37),X34)|~r2_hidden(X37,X36)|X36!=k2_surreals(X33,X34,X35)|~v3_surreal0(X36)))&(r2_tarski(esk7_5(X33,X34,X35,X36,X37),X35)|~r2_hidden(X37,X36)|X36!=k2_surreals(X33,X34,X35)|~v3_surreal0(X36)))&(~r2_surrealo(k8_surrealr(esk6_5(X33,X34,X35,X36,X37),esk7_5(X33,X34,X35,X36,X37)),k11_surreal0)|~r2_hidden(X37,X36)|X36!=k2_surreals(X33,X34,X35)|~v3_surreal0(X36)))&(X37=k16_surrealr(k12_surrealr(X33,k16_surrealr(esk6_5(X33,X34,X35,X36,X37),esk7_5(X33,X34,X35,X36,X37))),k12_surreali(k8_surrealr(esk6_5(X33,X34,X35,X36,X37),esk7_5(X33,X34,X35,X36,X37))))|~r2_hidden(X37,X36)|X36!=k2_surreals(X33,X34,X35)|~v3_surreal0(X36))))&(~v2_surreal0(X41)|(~v2_surreal0(X42)|~r2_tarski(X41,X34)|~r2_tarski(X42,X35)|r2_surrealo(k8_surrealr(X41,X42),k11_surreal0)|X40!=k16_surrealr(k12_surrealr(X33,k16_surrealr(X41,X42)),k12_surreali(k8_surrealr(X41,X42))))|r2_hidden(X40,X36)|X36!=k2_surreals(X33,X34,X35)|~v3_surreal0(X36)))&((~r2_hidden(esk8_4(X33,X34,X35,X36),X36)|(~v2_surreal0(X44)|(~v2_surreal0(X45)|~r2_tarski(X44,X34)|~r2_tarski(X45,X35)|r2_surrealo(k8_surrealr(X44,X45),k11_surreal0)|esk8_4(X33,X34,X35,X36)!=k16_surrealr(k12_surrealr(X33,k16_surrealr(X44,X45)),k12_surreali(k8_surrealr(X44,X45)))))|X36=k2_surreals(X33,X34,X35)|~v3_surreal0(X36))&((v2_surreal0(esk9_4(X33,X34,X35,X36))|r2_hidden(esk8_4(X33,X34,X35,X36),X36)|X36=k2_surreals(X33,X34,X35)|~v3_surreal0(X36))&(((((v2_surreal0(esk10_4(X33,X34,X35,X36))|r2_hidden(esk8_4(X33,X34,X35,X36),X36)|X36=k2_surreals(X33,X34,X35)|~v3_surreal0(X36))&(r2_tarski(esk9_4(X33,X34,X35,X36),X34)|r2_hidden(esk8_4(X33,X34,X35,X36),X36)|X36=k2_surreals(X33,X34,X35)|~v3_surreal0(X36)))&(r2_tarski(esk10_4(X33,X34,X35,X36),X35)|r2_hidden(esk8_4(X33,X34,X35,X36),X36)|X36=k2_surreals(X33,X34,X35)|~v3_surreal0(X36)))&(~r2_surrealo(k8_surrealr(esk9_4(X33,X34,X35,X36),esk10_4(X33,X34,X35,X36)),k11_surreal0)|r2_hidden(esk8_4(X33,X34,X35,X36),X36)|X36=k2_surreals(X33,X34,X35)|~v3_surreal0(X36)))&(esk8_4(X33,X34,X35,X36)=k16_surrealr(k12_surrealr(X33,k16_surrealr(esk9_4(X33,X34,X35,X36),esk10_4(X33,X34,X35,X36))),k12_surreali(k8_surrealr(esk9_4(X33,X34,X35,X36),esk10_4(X33,X34,X35,X36))))|r2_hidden(esk8_4(X33,X34,X35,X36),X36)|X36=k2_surreals(X33,X34,X35)|~v3_surreal0(X36)))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])])])])])).
fof(c_0_7, plain, ![X54, X55, X56]:v3_surreal0(k2_surreals(X54,X55,X56)), inference(variable_rename,[status(thm)],[dt_k2_surreals])).
cnf(c_0_8, plain, (r2_tarski(esk7_5(X1,X2,X3,X4,X5),X3)|~r2_hidden(X5,X4)|X4!=k2_surreals(X1,X2,X3)|~v3_surreal0(X4)), inference(split_conjunct,[status(thm)],[c_0_6])).
cnf(c_0_9, plain, (v3_surreal0(k2_surreals(X1,X2,X3))), inference(split_conjunct,[status(thm)],[c_0_7])).
fof(c_0_10, plain, ![X48, X49, X50, X51, X52]:((~r1_tarski(X48,X49)|(~r2_hidden(X50,X48)|r2_hidden(X50,X49)))&((r2_hidden(esk11_2(X51,X52),X51)|r1_tarski(X51,X52))&(~r2_hidden(esk11_2(X51,X52),X52)|r1_tarski(X51,X52)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[d3_tarski])])])])])])).
fof(c_0_11, plain, ![X57, X58]:((~r2_tarski(X57,X58)|r2_hidden(X57,X58))&(~r2_hidden(X57,X58)|r2_tarski(X57,X58))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_r2_tarski])])).
cnf(c_0_12, plain, (r2_tarski(esk7_5(X1,X2,X3,k2_surreals(X1,X2,X3),X4),X3)|~r2_hidden(X4,k2_surreals(X1,X2,X3))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_8]), c_0_9])])).
cnf(c_0_13, plain, (r2_hidden(esk11_2(X1,X2),X1)|r1_tarski(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_14, plain, (r2_tarski(esk6_5(X1,X2,X3,X4,X5),X2)|~r2_hidden(X5,X4)|X4!=k2_surreals(X1,X2,X3)|~v3_surreal0(X4)), inference(split_conjunct,[status(thm)],[c_0_6])).
cnf(c_0_15, plain, (r2_hidden(X1,X2)|~r2_tarski(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_11])).
cnf(c_0_16, plain, (r2_tarski(esk7_5(X1,X2,X3,k2_surreals(X1,X2,X3),esk11_2(k2_surreals(X1,X2,X3),X4)),X3)|r1_tarski(k2_surreals(X1,X2,X3),X4)), inference(spm,[status(thm)],[c_0_12, c_0_13])).
fof(c_0_17, negated_conjecture, ~(![X1, X2, X3, X4, X5]:((r1_tarski(X2,X3)&r1_tarski(X4,X5))=>r1_tarski(k2_surreals(X1,X2,X4),k2_surreals(X1,X3,X5)))), inference(assume_negation,[status(cth)],[t11_surreals])).
cnf(c_0_18, plain, (r2_tarski(esk6_5(X1,X2,X3,k2_surreals(X1,X2,X3),X4),X2)|~r2_hidden(X4,k2_surreals(X1,X2,X3))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_14]), c_0_9])])).
cnf(c_0_19, plain, (r2_hidden(X3,X2)|~r1_tarski(X1,X2)|~r2_hidden(X3,X1)), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_20, plain, (r2_hidden(esk7_5(X1,X2,X3,k2_surreals(X1,X2,X3),esk11_2(k2_surreals(X1,X2,X3),X4)),X3)|r1_tarski(k2_surreals(X1,X2,X3),X4)), inference(spm,[status(thm)],[c_0_15, c_0_16])).
fof(c_0_21, negated_conjecture, ((r1_tarski(esk2_0,esk3_0)&r1_tarski(esk4_0,esk5_0))&~r1_tarski(k2_surreals(esk1_0,esk2_0,esk4_0),k2_surreals(esk1_0,esk3_0,esk5_0))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_17])])])).
cnf(c_0_22, plain, (r2_tarski(esk6_5(X1,X2,X3,k2_surreals(X1,X2,X3),esk11_2(k2_surreals(X1,X2,X3),X4)),X2)|r1_tarski(k2_surreals(X1,X2,X3),X4)), inference(spm,[status(thm)],[c_0_18, c_0_13])).
cnf(c_0_23, plain, (r2_hidden(esk7_5(X1,X2,X3,k2_surreals(X1,X2,X3),esk11_2(k2_surreals(X1,X2,X3),X4)),X5)|r1_tarski(k2_surreals(X1,X2,X3),X4)|~r1_tarski(X3,X5)), inference(spm,[status(thm)],[c_0_19, c_0_20])).
cnf(c_0_24, negated_conjecture, (r1_tarski(esk4_0,esk5_0)), inference(split_conjunct,[status(thm)],[c_0_21])).
cnf(c_0_25, plain, (v2_surreal0(esk7_5(X1,X2,X3,X4,X5))|~r2_hidden(X5,X4)|X4!=k2_surreals(X1,X2,X3)|~v3_surreal0(X4)), inference(split_conjunct,[status(thm)],[c_0_6])).
cnf(c_0_26, plain, (r2_hidden(esk6_5(X1,X2,X3,k2_surreals(X1,X2,X3),esk11_2(k2_surreals(X1,X2,X3),X4)),X2)|r1_tarski(k2_surreals(X1,X2,X3),X4)), inference(spm,[status(thm)],[c_0_15, c_0_22])).
cnf(c_0_27, plain, (r2_surrealo(k8_surrealr(X1,X2),k11_surreal0)|r2_hidden(X5,X7)|~v2_surreal0(X1)|~v2_surreal0(X2)|~r2_tarski(X1,X3)|~r2_tarski(X2,X4)|X5!=k16_surrealr(k12_surrealr(X6,k16_surrealr(X1,X2)),k12_surreali(k8_surrealr(X1,X2)))|X7!=k2_surreals(X6,X3,X4)|~v3_surreal0(X7)), inference(split_conjunct,[status(thm)],[c_0_6])).
cnf(c_0_28, plain, (r2_tarski(X1,X2)|~r2_hidden(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_11])).
cnf(c_0_29, negated_conjecture, (r2_hidden(esk7_5(X1,X2,esk4_0,k2_surreals(X1,X2,esk4_0),esk11_2(k2_surreals(X1,X2,esk4_0),X3)),esk5_0)|r1_tarski(k2_surreals(X1,X2,esk4_0),X3)), inference(spm,[status(thm)],[c_0_23, c_0_24])).
cnf(c_0_30, plain, (v2_surreal0(esk7_5(X1,X2,X3,k2_surreals(X1,X2,X3),X4))|~r2_hidden(X4,k2_surreals(X1,X2,X3))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_25]), c_0_9])])).
cnf(c_0_31, plain, (r2_hidden(esk6_5(X1,X2,X3,k2_surreals(X1,X2,X3),esk11_2(k2_surreals(X1,X2,X3),X4)),X5)|r1_tarski(k2_surreals(X1,X2,X3),X4)|~r1_tarski(X2,X5)), inference(spm,[status(thm)],[c_0_19, c_0_26])).
cnf(c_0_32, negated_conjecture, (r1_tarski(esk2_0,esk3_0)), inference(split_conjunct,[status(thm)],[c_0_21])).
cnf(c_0_33, plain, (v2_surreal0(esk6_5(X1,X2,X3,X4,X5))|~r2_hidden(X5,X4)|X4!=k2_surreals(X1,X2,X3)|~v3_surreal0(X4)), inference(split_conjunct,[status(thm)],[c_0_6])).
cnf(c_0_34, plain, (r2_surrealo(k8_surrealr(X1,X2),k11_surreal0)|r2_hidden(k16_surrealr(k12_surrealr(X3,k16_surrealr(X1,X2)),k12_surreali(k8_surrealr(X1,X2))),k2_surreals(X3,X4,X5))|~r2_tarski(X2,X5)|~r2_tarski(X1,X4)|~v2_surreal0(X2)|~v2_surreal0(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_27])]), c_0_9])])).
cnf(c_0_35, negated_conjecture, (r2_tarski(esk7_5(X1,X2,esk4_0,k2_surreals(X1,X2,esk4_0),esk11_2(k2_surreals(X1,X2,esk4_0),X3)),esk5_0)|r1_tarski(k2_surreals(X1,X2,esk4_0),X3)), inference(spm,[status(thm)],[c_0_28, c_0_29])).
cnf(c_0_36, plain, (v2_surreal0(esk7_5(X1,X2,X3,k2_surreals(X1,X2,X3),esk11_2(k2_surreals(X1,X2,X3),X4)))|r1_tarski(k2_surreals(X1,X2,X3),X4)), inference(spm,[status(thm)],[c_0_30, c_0_13])).
cnf(c_0_37, negated_conjecture, (r2_hidden(esk6_5(X1,esk2_0,X2,k2_surreals(X1,esk2_0,X2),esk11_2(k2_surreals(X1,esk2_0,X2),X3)),esk3_0)|r1_tarski(k2_surreals(X1,esk2_0,X2),X3)), inference(spm,[status(thm)],[c_0_31, c_0_32])).
cnf(c_0_38, plain, (v2_surreal0(esk6_5(X1,X2,X3,k2_surreals(X1,X2,X3),X4))|~r2_hidden(X4,k2_surreals(X1,X2,X3))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_33]), c_0_9])])).
cnf(c_0_39, plain, (X1=k16_surrealr(k12_surrealr(X2,k16_surrealr(esk6_5(X2,X3,X4,X5,X1),esk7_5(X2,X3,X4,X5,X1))),k12_surreali(k8_surrealr(esk6_5(X2,X3,X4,X5,X1),esk7_5(X2,X3,X4,X5,X1))))|~r2_hidden(X1,X5)|X5!=k2_surreals(X2,X3,X4)|~v3_surreal0(X5)), inference(split_conjunct,[status(thm)],[c_0_6])).
cnf(c_0_40, negated_conjecture, (r2_surrealo(k8_surrealr(X1,esk7_5(X2,X3,esk4_0,k2_surreals(X2,X3,esk4_0),esk11_2(k2_surreals(X2,X3,esk4_0),X4))),k11_surreal0)|r2_hidden(k16_surrealr(k12_surrealr(X5,k16_surrealr(X1,esk7_5(X2,X3,esk4_0,k2_surreals(X2,X3,esk4_0),esk11_2(k2_surreals(X2,X3,esk4_0),X4)))),k12_surreali(k8_surrealr(X1,esk7_5(X2,X3,esk4_0,k2_surreals(X2,X3,esk4_0),esk11_2(k2_surreals(X2,X3,esk4_0),X4))))),k2_surreals(X5,X6,esk5_0))|r1_tarski(k2_surreals(X2,X3,esk4_0),X4)|~r2_tarski(X1,X6)|~v2_surreal0(X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_34, c_0_35]), c_0_36])).
cnf(c_0_41, negated_conjecture, (r2_tarski(esk6_5(X1,esk2_0,X2,k2_surreals(X1,esk2_0,X2),esk11_2(k2_surreals(X1,esk2_0,X2),X3)),esk3_0)|r1_tarski(k2_surreals(X1,esk2_0,X2),X3)), inference(spm,[status(thm)],[c_0_28, c_0_37])).
cnf(c_0_42, plain, (v2_surreal0(esk6_5(X1,X2,X3,k2_surreals(X1,X2,X3),esk11_2(k2_surreals(X1,X2,X3),X4)))|r1_tarski(k2_surreals(X1,X2,X3),X4)), inference(spm,[status(thm)],[c_0_38, c_0_13])).
cnf(c_0_43, plain, (k16_surrealr(k12_surrealr(X1,k16_surrealr(esk6_5(X1,X2,X3,k2_surreals(X1,X2,X3),X4),esk7_5(X1,X2,X3,k2_surreals(X1,X2,X3),X4))),k12_surreali(k8_surrealr(esk6_5(X1,X2,X3,k2_surreals(X1,X2,X3),X4),esk7_5(X1,X2,X3,k2_surreals(X1,X2,X3),X4))))=X4|~r2_hidden(X4,k2_surreals(X1,X2,X3))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_39]), c_0_9])])).
cnf(c_0_44, plain, (~r2_surrealo(k8_surrealr(esk6_5(X1,X2,X3,X4,X5),esk7_5(X1,X2,X3,X4,X5)),k11_surreal0)|~r2_hidden(X5,X4)|X4!=k2_surreals(X1,X2,X3)|~v3_surreal0(X4)), inference(split_conjunct,[status(thm)],[c_0_6])).
cnf(c_0_45, negated_conjecture, (r2_surrealo(k8_surrealr(esk6_5(X1,esk2_0,X2,k2_surreals(X1,esk2_0,X2),esk11_2(k2_surreals(X1,esk2_0,X2),X3)),esk7_5(X4,X5,esk4_0,k2_surreals(X4,X5,esk4_0),esk11_2(k2_surreals(X4,X5,esk4_0),X6))),k11_surreal0)|r2_hidden(k16_surrealr(k12_surrealr(X7,k16_surrealr(esk6_5(X1,esk2_0,X2,k2_surreals(X1,esk2_0,X2),esk11_2(k2_surreals(X1,esk2_0,X2),X3)),esk7_5(X4,X5,esk4_0,k2_surreals(X4,X5,esk4_0),esk11_2(k2_surreals(X4,X5,esk4_0),X6)))),k12_surreali(k8_surrealr(esk6_5(X1,esk2_0,X2,k2_surreals(X1,esk2_0,X2),esk11_2(k2_surreals(X1,esk2_0,X2),X3)),esk7_5(X4,X5,esk4_0,k2_surreals(X4,X5,esk4_0),esk11_2(k2_surreals(X4,X5,esk4_0),X6))))),k2_surreals(X7,esk3_0,esk5_0))|r1_tarski(k2_surreals(X1,esk2_0,X2),X3)|r1_tarski(k2_surreals(X4,X5,esk4_0),X6)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_40, c_0_41]), c_0_42])).
cnf(c_0_46, plain, (k16_surrealr(k12_surrealr(X1,k16_surrealr(esk6_5(X1,X2,X3,k2_surreals(X1,X2,X3),esk11_2(k2_surreals(X1,X2,X3),X4)),esk7_5(X1,X2,X3,k2_surreals(X1,X2,X3),esk11_2(k2_surreals(X1,X2,X3),X4)))),k12_surreali(k8_surrealr(esk6_5(X1,X2,X3,k2_surreals(X1,X2,X3),esk11_2(k2_surreals(X1,X2,X3),X4)),esk7_5(X1,X2,X3,k2_surreals(X1,X2,X3),esk11_2(k2_surreals(X1,X2,X3),X4)))))=esk11_2(k2_surreals(X1,X2,X3),X4)|r1_tarski(k2_surreals(X1,X2,X3),X4)), inference(spm,[status(thm)],[c_0_43, c_0_13])).
cnf(c_0_47, plain, (~r2_surrealo(k8_surrealr(esk6_5(X1,X2,X3,k2_surreals(X1,X2,X3),X4),esk7_5(X1,X2,X3,k2_surreals(X1,X2,X3),X4)),k11_surreal0)|~r2_hidden(X4,k2_surreals(X1,X2,X3))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_44]), c_0_9])])).
cnf(c_0_48, negated_conjecture, (r2_surrealo(k8_surrealr(esk6_5(X1,esk2_0,esk4_0,k2_surreals(X1,esk2_0,esk4_0),esk11_2(k2_surreals(X1,esk2_0,esk4_0),X2)),esk7_5(X1,esk2_0,esk4_0,k2_surreals(X1,esk2_0,esk4_0),esk11_2(k2_surreals(X1,esk2_0,esk4_0),X2))),k11_surreal0)|r2_hidden(esk11_2(k2_surreals(X1,esk2_0,esk4_0),X2),k2_surreals(X1,esk3_0,esk5_0))|r1_tarski(k2_surreals(X1,esk2_0,esk4_0),X2)), inference(spm,[status(thm)],[c_0_45, c_0_46])).
cnf(c_0_49, plain, (r1_tarski(X1,X2)|~r2_hidden(esk11_2(X1,X2),X2)), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_50, negated_conjecture, (r2_hidden(esk11_2(k2_surreals(X1,esk2_0,esk4_0),X2),k2_surreals(X1,esk3_0,esk5_0))|r1_tarski(k2_surreals(X1,esk2_0,esk4_0),X2)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_47, c_0_48]), c_0_13])).
cnf(c_0_51, negated_conjecture, (~r1_tarski(k2_surreals(esk1_0,esk2_0,esk4_0),k2_surreals(esk1_0,esk3_0,esk5_0))), inference(split_conjunct,[status(thm)],[c_0_21])).
cnf(c_0_52, negated_conjecture, (r1_tarski(k2_surreals(X1,esk2_0,esk4_0),k2_surreals(X1,esk3_0,esk5_0))), inference(spm,[status(thm)],[c_0_49, c_0_50])).
cnf(c_0_53, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_51, c_0_52])]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 54
# Proof object clause steps            : 42
# Proof object formula steps           : 12
# Proof object conjectures             : 16
# Proof object clause conjectures      : 13
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 16
# Proof object initial formulas used   : 5
# Proof object generating inferences   : 18
# Proof object simplifying inferences  : 27
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 5
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 23
# Removed in clause preprocessing      : 0
# Initial clauses in saturation        : 23
# Processed clauses                    : 5575
# ...of these trivial                  : 0
# ...subsumed                          : 2562
# ...remaining for further processing  : 3013
# Other redundant clauses eliminated   : 12
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 4
# Backward-rewritten                   : 1
# Generated clauses                    : 64600
# ...of the previous two non-trivial   : 64333
# Contextual simplify-reflections      : 306
# Paramodulations                      : 64581
# Factorizations                       : 8
# NegExts                              : 0
# Equation resolutions                 : 12
# Propositional unsat checks           : 0
#    Propositional check models        : 0
#    Propositional check unsatisfiable : 0
#    Propositional clauses             : 0
#    Propositional clauses after purity: 0
#    Propositional unsat core size     : 0
#    Propositional preprocessing time  : 0.000
#    Propositional encoding time       : 0.000
#    Propositional solver time         : 0.000
#    Success case prop preproc time    : 0.000
#    Success case prop encoding time   : 0.000
#    Success case prop solver time     : 0.000
# Current number of processed clauses  : 2978
#    Positive orientable unit clauses  : 8
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 0
#    Non-unit-clauses                  : 2970
# Current number of unprocessed clauses: 58804
# ...number of literals in the above   : 375929
# Current number of archived formulas  : 0
# Current number of archived clauses   : 28
# Clause-clause subsumption calls (NU) : 1915678
# Rec. Clause-clause subsumption calls : 58797
# Non-unit clause-clause subsumptions  : 2872
# Unit Clause-clause subsumption calls : 3949
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 9
# BW rewrite match successes           : 1
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 4713281

# -------------------------------------------------
# User time                : 2.440 s
# System time              : 0.052 s
# Total time               : 2.492 s
# Maximum resident set size: 2856 pages
