# No SInE strategy applied
# Trying AutoSched0 for 161 seconds
# AutoSched0-Mode selected heuristic G_E___107_C36_F1_PI_AE_Q4_CS_SP_PS_S0Y
# and selection function SelectMaxLComplexAvoidPosPred.
#
# Preprocessing time       : 0.022 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(d9_surreali, axiom, ![X1]:((v2_surreal0(X1)&v2_surreali(X1))=>![X2]:((v2_surreal0(X2)&v2_surreali(X2))=>(X2=k7_surreali(X1)<=>![X3]:(v2_surreal0(X3)=>(((~(((r2_tarski(X3,k1_surreal0(X2))&X3!=k11_surreal0)&~((r2_tarski(X3,k1_surreal0(X1))&v2_surreali(X3)))))&((X3=k11_surreal0|(r2_tarski(X3,k1_surreal0(X1))&v2_surreali(X3)))=>r2_tarski(X3,k1_surreal0(X2))))&(r2_tarski(X3,k2_surreal0(X2))=>(r2_tarski(X3,k2_surreal0(X1))&v2_surreali(X3))))&((r2_tarski(X3,k2_surreal0(X1))&v2_surreali(X3))=>r2_tarski(X3,k2_surreal0(X2)))))))), file('surreali/surreali__t21_surreali', d9_surreali)).
fof(t21_surreali, conjecture, ![X1]:(v2_surreal0(X1)=>![X2]:(v2_surreal0(X2)=>((v2_surreali(X1)&r2_tarski(X2,k6_subset_1(k2_xboole_0(k1_surreal0(k7_surreali(X1)),k2_surreal0(k7_surreali(X1))),k1_tarski(k11_surreal0))))=>v2_surreali(X2)))), file('surreali/surreali__t21_surreali', t21_surreali)).
fof(t56_zfmisc_1, axiom, ![X1, X2, X3]:(r2_hidden(X2,k4_xboole_0(X3,k1_tarski(X1)))<=>(r2_hidden(X2,X3)&X2!=X1)), file('surreali/surreali__t21_surreali', t56_zfmisc_1)).
fof(redefinition_k6_subset_1, axiom, ![X1, X2]:k6_subset_1(X1,X2)=k4_xboole_0(X1,X2), file('surreali/surreali__t21_surreali', redefinition_k6_subset_1)).
fof(redefinition_r2_tarski, axiom, ![X1, X2]:(r2_tarski(X1,X2)<=>r2_hidden(X1,X2)), file('surreali/surreali__t21_surreali', redefinition_r2_tarski)).
fof(dt_k7_surreali, axiom, ![X1]:(v2_surreal0(k7_surreali(X1))&v2_surreali(k7_surreali(X1))), file('surreali/surreali__t21_surreali', dt_k7_surreali)).
fof(d3_xboole_0, axiom, ![X1, X2, X3]:(X3=k2_xboole_0(X1,X2)<=>![X4]:(r2_hidden(X4,X3)<=>(r2_hidden(X4,X1)|r2_hidden(X4,X2)))), file('surreali/surreali__t21_surreali', d3_xboole_0)).
fof(c_0_7, plain, ![X1, X3, X2]:(epred1_3(X2,X3,X1)<=>(((~(((r2_tarski(X3,k1_surreal0(X2))&X3!=k11_surreal0)&~((r2_tarski(X3,k1_surreal0(X1))&v2_surreali(X3)))))&((X3=k11_surreal0|(r2_tarski(X3,k1_surreal0(X1))&v2_surreali(X3)))=>r2_tarski(X3,k1_surreal0(X2))))&(r2_tarski(X3,k2_surreal0(X2))=>(r2_tarski(X3,k2_surreal0(X1))&v2_surreali(X3))))&((r2_tarski(X3,k2_surreal0(X1))&v2_surreali(X3))=>r2_tarski(X3,k2_surreal0(X2))))), introduced(definition)).
fof(c_0_8, plain, ![X49, X50, X51]:((((((r2_tarski(X50,k1_surreal0(X49))|(~r2_tarski(X50,k1_surreal0(X51))|X50=k11_surreal0)|~epred1_3(X51,X50,X49))&(v2_surreali(X50)|(~r2_tarski(X50,k1_surreal0(X51))|X50=k11_surreal0)|~epred1_3(X51,X50,X49)))&((X50!=k11_surreal0|r2_tarski(X50,k1_surreal0(X51))|~epred1_3(X51,X50,X49))&(~r2_tarski(X50,k1_surreal0(X49))|~v2_surreali(X50)|r2_tarski(X50,k1_surreal0(X51))|~epred1_3(X51,X50,X49))))&((r2_tarski(X50,k2_surreal0(X49))|~r2_tarski(X50,k2_surreal0(X51))|~epred1_3(X51,X50,X49))&(v2_surreali(X50)|~r2_tarski(X50,k2_surreal0(X51))|~epred1_3(X51,X50,X49))))&(~r2_tarski(X50,k2_surreal0(X49))|~v2_surreali(X50)|r2_tarski(X50,k2_surreal0(X51))|~epred1_3(X51,X50,X49)))&((((((((r2_tarski(X50,k2_surreal0(X49))|(r2_tarski(X50,k2_surreal0(X51))|(r2_tarski(X50,k1_surreal0(X49))|X50=k11_surreal0|r2_tarski(X50,k1_surreal0(X51))))|epred1_3(X51,X50,X49))&(v2_surreali(X50)|(r2_tarski(X50,k2_surreal0(X51))|(r2_tarski(X50,k1_surreal0(X49))|X50=k11_surreal0|r2_tarski(X50,k1_surreal0(X51))))|epred1_3(X51,X50,X49)))&(~r2_tarski(X50,k2_surreal0(X51))|(r2_tarski(X50,k2_surreal0(X51))|(r2_tarski(X50,k1_surreal0(X49))|X50=k11_surreal0|r2_tarski(X50,k1_surreal0(X51))))|epred1_3(X51,X50,X49)))&(((r2_tarski(X50,k2_surreal0(X49))|(~r2_tarski(X50,k2_surreal0(X49))|~v2_surreali(X50)|(r2_tarski(X50,k1_surreal0(X49))|X50=k11_surreal0|r2_tarski(X50,k1_surreal0(X51))))|epred1_3(X51,X50,X49))&(v2_surreali(X50)|(~r2_tarski(X50,k2_surreal0(X49))|~v2_surreali(X50)|(r2_tarski(X50,k1_surreal0(X49))|X50=k11_surreal0|r2_tarski(X50,k1_surreal0(X51))))|epred1_3(X51,X50,X49)))&(~r2_tarski(X50,k2_surreal0(X51))|(~r2_tarski(X50,k2_surreal0(X49))|~v2_surreali(X50)|(r2_tarski(X50,k1_surreal0(X49))|X50=k11_surreal0|r2_tarski(X50,k1_surreal0(X51))))|epred1_3(X51,X50,X49))))&((((r2_tarski(X50,k2_surreal0(X49))|(r2_tarski(X50,k2_surreal0(X51))|(v2_surreali(X50)|X50=k11_surreal0|r2_tarski(X50,k1_surreal0(X51))))|epred1_3(X51,X50,X49))&(v2_surreali(X50)|(r2_tarski(X50,k2_surreal0(X51))|(v2_surreali(X50)|X50=k11_surreal0|r2_tarski(X50,k1_surreal0(X51))))|epred1_3(X51,X50,X49)))&(~r2_tarski(X50,k2_surreal0(X51))|(r2_tarski(X50,k2_surreal0(X51))|(v2_surreali(X50)|X50=k11_surreal0|r2_tarski(X50,k1_surreal0(X51))))|epred1_3(X51,X50,X49)))&(((r2_tarski(X50,k2_surreal0(X49))|(~r2_tarski(X50,k2_surreal0(X49))|~v2_surreali(X50)|(v2_surreali(X50)|X50=k11_surreal0|r2_tarski(X50,k1_surreal0(X51))))|epred1_3(X51,X50,X49))&(v2_surreali(X50)|(~r2_tarski(X50,k2_surreal0(X49))|~v2_surreali(X50)|(v2_surreali(X50)|X50=k11_surreal0|r2_tarski(X50,k1_surreal0(X51))))|epred1_3(X51,X50,X49)))&(~r2_tarski(X50,k2_surreal0(X51))|(~r2_tarski(X50,k2_surreal0(X49))|~v2_surreali(X50)|(v2_surreali(X50)|X50=k11_surreal0|r2_tarski(X50,k1_surreal0(X51))))|epred1_3(X51,X50,X49)))))&((((r2_tarski(X50,k2_surreal0(X49))|(r2_tarski(X50,k2_surreal0(X51))|(~r2_tarski(X50,k1_surreal0(X51))|r2_tarski(X50,k1_surreal0(X51))))|epred1_3(X51,X50,X49))&(v2_surreali(X50)|(r2_tarski(X50,k2_surreal0(X51))|(~r2_tarski(X50,k1_surreal0(X51))|r2_tarski(X50,k1_surreal0(X51))))|epred1_3(X51,X50,X49)))&(~r2_tarski(X50,k2_surreal0(X51))|(r2_tarski(X50,k2_surreal0(X51))|(~r2_tarski(X50,k1_surreal0(X51))|r2_tarski(X50,k1_surreal0(X51))))|epred1_3(X51,X50,X49)))&(((r2_tarski(X50,k2_surreal0(X49))|(~r2_tarski(X50,k2_surreal0(X49))|~v2_surreali(X50)|(~r2_tarski(X50,k1_surreal0(X51))|r2_tarski(X50,k1_surreal0(X51))))|epred1_3(X51,X50,X49))&(v2_surreali(X50)|(~r2_tarski(X50,k2_surreal0(X49))|~v2_surreali(X50)|(~r2_tarski(X50,k1_surreal0(X51))|r2_tarski(X50,k1_surreal0(X51))))|epred1_3(X51,X50,X49)))&(~r2_tarski(X50,k2_surreal0(X51))|(~r2_tarski(X50,k2_surreal0(X49))|~v2_surreali(X50)|(~r2_tarski(X50,k1_surreal0(X51))|r2_tarski(X50,k1_surreal0(X51))))|epred1_3(X51,X50,X49)))))&((((((r2_tarski(X50,k2_surreal0(X49))|(r2_tarski(X50,k2_surreal0(X51))|(r2_tarski(X50,k1_surreal0(X49))|X50=k11_surreal0|X50!=k11_surreal0))|epred1_3(X51,X50,X49))&(v2_surreali(X50)|(r2_tarski(X50,k2_surreal0(X51))|(r2_tarski(X50,k1_surreal0(X49))|X50=k11_surreal0|X50!=k11_surreal0))|epred1_3(X51,X50,X49)))&(~r2_tarski(X50,k2_surreal0(X51))|(r2_tarski(X50,k2_surreal0(X51))|(r2_tarski(X50,k1_surreal0(X49))|X50=k11_surreal0|X50!=k11_surreal0))|epred1_3(X51,X50,X49)))&(((r2_tarski(X50,k2_surreal0(X49))|(~r2_tarski(X50,k2_surreal0(X49))|~v2_surreali(X50)|(r2_tarski(X50,k1_surreal0(X49))|X50=k11_surreal0|X50!=k11_surreal0))|epred1_3(X51,X50,X49))&(v2_surreali(X50)|(~r2_tarski(X50,k2_surreal0(X49))|~v2_surreali(X50)|(r2_tarski(X50,k1_surreal0(X49))|X50=k11_surreal0|X50!=k11_surreal0))|epred1_3(X51,X50,X49)))&(~r2_tarski(X50,k2_surreal0(X51))|(~r2_tarski(X50,k2_surreal0(X49))|~v2_surreali(X50)|(r2_tarski(X50,k1_surreal0(X49))|X50=k11_surreal0|X50!=k11_surreal0))|epred1_3(X51,X50,X49))))&((((r2_tarski(X50,k2_surreal0(X49))|(r2_tarski(X50,k2_surreal0(X51))|(v2_surreali(X50)|X50=k11_surreal0|X50!=k11_surreal0))|epred1_3(X51,X50,X49))&(v2_surreali(X50)|(r2_tarski(X50,k2_surreal0(X51))|(v2_surreali(X50)|X50=k11_surreal0|X50!=k11_surreal0))|epred1_3(X51,X50,X49)))&(~r2_tarski(X50,k2_surreal0(X51))|(r2_tarski(X50,k2_surreal0(X51))|(v2_surreali(X50)|X50=k11_surreal0|X50!=k11_surreal0))|epred1_3(X51,X50,X49)))&(((r2_tarski(X50,k2_surreal0(X49))|(~r2_tarski(X50,k2_surreal0(X49))|~v2_surreali(X50)|(v2_surreali(X50)|X50=k11_surreal0|X50!=k11_surreal0))|epred1_3(X51,X50,X49))&(v2_surreali(X50)|(~r2_tarski(X50,k2_surreal0(X49))|~v2_surreali(X50)|(v2_surreali(X50)|X50=k11_surreal0|X50!=k11_surreal0))|epred1_3(X51,X50,X49)))&(~r2_tarski(X50,k2_surreal0(X51))|(~r2_tarski(X50,k2_surreal0(X49))|~v2_surreali(X50)|(v2_surreali(X50)|X50=k11_surreal0|X50!=k11_surreal0))|epred1_3(X51,X50,X49)))))&((((r2_tarski(X50,k2_surreal0(X49))|(r2_tarski(X50,k2_surreal0(X51))|(~r2_tarski(X50,k1_surreal0(X51))|X50!=k11_surreal0))|epred1_3(X51,X50,X49))&(v2_surreali(X50)|(r2_tarski(X50,k2_surreal0(X51))|(~r2_tarski(X50,k1_surreal0(X51))|X50!=k11_surreal0))|epred1_3(X51,X50,X49)))&(~r2_tarski(X50,k2_surreal0(X51))|(r2_tarski(X50,k2_surreal0(X51))|(~r2_tarski(X50,k1_surreal0(X51))|X50!=k11_surreal0))|epred1_3(X51,X50,X49)))&(((r2_tarski(X50,k2_surreal0(X49))|(~r2_tarski(X50,k2_surreal0(X49))|~v2_surreali(X50)|(~r2_tarski(X50,k1_surreal0(X51))|X50!=k11_surreal0))|epred1_3(X51,X50,X49))&(v2_surreali(X50)|(~r2_tarski(X50,k2_surreal0(X49))|~v2_surreali(X50)|(~r2_tarski(X50,k1_surreal0(X51))|X50!=k11_surreal0))|epred1_3(X51,X50,X49)))&(~r2_tarski(X50,k2_surreal0(X51))|(~r2_tarski(X50,k2_surreal0(X49))|~v2_surreali(X50)|(~r2_tarski(X50,k1_surreal0(X51))|X50!=k11_surreal0))|epred1_3(X51,X50,X49))))))&((((((r2_tarski(X50,k2_surreal0(X49))|(r2_tarski(X50,k2_surreal0(X51))|(r2_tarski(X50,k1_surreal0(X49))|X50=k11_surreal0|(~r2_tarski(X50,k1_surreal0(X49))|~v2_surreali(X50))))|epred1_3(X51,X50,X49))&(v2_surreali(X50)|(r2_tarski(X50,k2_surreal0(X51))|(r2_tarski(X50,k1_surreal0(X49))|X50=k11_surreal0|(~r2_tarski(X50,k1_surreal0(X49))|~v2_surreali(X50))))|epred1_3(X51,X50,X49)))&(~r2_tarski(X50,k2_surreal0(X51))|(r2_tarski(X50,k2_surreal0(X51))|(r2_tarski(X50,k1_surreal0(X49))|X50=k11_surreal0|(~r2_tarski(X50,k1_surreal0(X49))|~v2_surreali(X50))))|epred1_3(X51,X50,X49)))&(((r2_tarski(X50,k2_surreal0(X49))|(~r2_tarski(X50,k2_surreal0(X49))|~v2_surreali(X50)|(r2_tarski(X50,k1_surreal0(X49))|X50=k11_surreal0|(~r2_tarski(X50,k1_surreal0(X49))|~v2_surreali(X50))))|epred1_3(X51,X50,X49))&(v2_surreali(X50)|(~r2_tarski(X50,k2_surreal0(X49))|~v2_surreali(X50)|(r2_tarski(X50,k1_surreal0(X49))|X50=k11_surreal0|(~r2_tarski(X50,k1_surreal0(X49))|~v2_surreali(X50))))|epred1_3(X51,X50,X49)))&(~r2_tarski(X50,k2_surreal0(X51))|(~r2_tarski(X50,k2_surreal0(X49))|~v2_surreali(X50)|(r2_tarski(X50,k1_surreal0(X49))|X50=k11_surreal0|(~r2_tarski(X50,k1_surreal0(X49))|~v2_surreali(X50))))|epred1_3(X51,X50,X49))))&((((r2_tarski(X50,k2_surreal0(X49))|(r2_tarski(X50,k2_surreal0(X51))|(v2_surreali(X50)|X50=k11_surreal0|(~r2_tarski(X50,k1_surreal0(X49))|~v2_surreali(X50))))|epred1_3(X51,X50,X49))&(v2_surreali(X50)|(r2_tarski(X50,k2_surreal0(X51))|(v2_surreali(X50)|X50=k11_surreal0|(~r2_tarski(X50,k1_surreal0(X49))|~v2_surreali(X50))))|epred1_3(X51,X50,X49)))&(~r2_tarski(X50,k2_surreal0(X51))|(r2_tarski(X50,k2_surreal0(X51))|(v2_surreali(X50)|X50=k11_surreal0|(~r2_tarski(X50,k1_surreal0(X49))|~v2_surreali(X50))))|epred1_3(X51,X50,X49)))&(((r2_tarski(X50,k2_surreal0(X49))|(~r2_tarski(X50,k2_surreal0(X49))|~v2_surreali(X50)|(v2_surreali(X50)|X50=k11_surreal0|(~r2_tarski(X50,k1_surreal0(X49))|~v2_surreali(X50))))|epred1_3(X51,X50,X49))&(v2_surreali(X50)|(~r2_tarski(X50,k2_surreal0(X49))|~v2_surreali(X50)|(v2_surreali(X50)|X50=k11_surreal0|(~r2_tarski(X50,k1_surreal0(X49))|~v2_surreali(X50))))|epred1_3(X51,X50,X49)))&(~r2_tarski(X50,k2_surreal0(X51))|(~r2_tarski(X50,k2_surreal0(X49))|~v2_surreali(X50)|(v2_surreali(X50)|X50=k11_surreal0|(~r2_tarski(X50,k1_surreal0(X49))|~v2_surreali(X50))))|epred1_3(X51,X50,X49)))))&((((r2_tarski(X50,k2_surreal0(X49))|(r2_tarski(X50,k2_surreal0(X51))|(~r2_tarski(X50,k1_surreal0(X51))|(~r2_tarski(X50,k1_surreal0(X49))|~v2_surreali(X50))))|epred1_3(X51,X50,X49))&(v2_surreali(X50)|(r2_tarski(X50,k2_surreal0(X51))|(~r2_tarski(X50,k1_surreal0(X51))|(~r2_tarski(X50,k1_surreal0(X49))|~v2_surreali(X50))))|epred1_3(X51,X50,X49)))&(~r2_tarski(X50,k2_surreal0(X51))|(r2_tarski(X50,k2_surreal0(X51))|(~r2_tarski(X50,k1_surreal0(X51))|(~r2_tarski(X50,k1_surreal0(X49))|~v2_surreali(X50))))|epred1_3(X51,X50,X49)))&(((r2_tarski(X50,k2_surreal0(X49))|(~r2_tarski(X50,k2_surreal0(X49))|~v2_surreali(X50)|(~r2_tarski(X50,k1_surreal0(X51))|(~r2_tarski(X50,k1_surreal0(X49))|~v2_surreali(X50))))|epred1_3(X51,X50,X49))&(v2_surreali(X50)|(~r2_tarski(X50,k2_surreal0(X49))|~v2_surreali(X50)|(~r2_tarski(X50,k1_surreal0(X51))|(~r2_tarski(X50,k1_surreal0(X49))|~v2_surreali(X50))))|epred1_3(X51,X50,X49)))&(~r2_tarski(X50,k2_surreal0(X51))|(~r2_tarski(X50,k2_surreal0(X49))|~v2_surreali(X50)|(~r2_tarski(X50,k1_surreal0(X51))|(~r2_tarski(X50,k1_surreal0(X49))|~v2_surreali(X50))))|epred1_3(X51,X50,X49))))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])])).
cnf(c_0_9, plain, (v2_surreali(X1)|r2_tarski(X1,k2_surreal0(X2))|v2_surreali(X1)|X1=k11_surreal0|r2_tarski(X1,k1_surreal0(X2))|epred1_3(X2,X1,X3)), inference(split_conjunct,[status(thm)],[c_0_8])).
fof(c_0_10, axiom, ![X1]:((v2_surreal0(X1)&v2_surreali(X1))=>![X2]:((v2_surreal0(X2)&v2_surreali(X2))=>(X2=k7_surreali(X1)<=>![X3]:(v2_surreal0(X3)=>epred1_3(X2,X3,X1))))), inference(apply_def,[status(thm)],[d9_surreali, c_0_7])).
fof(c_0_11, negated_conjecture, ~(![X1]:(v2_surreal0(X1)=>![X2]:(v2_surreal0(X2)=>((v2_surreali(X1)&r2_tarski(X2,k6_subset_1(k2_xboole_0(k1_surreal0(k7_surreali(X1)),k2_surreal0(k7_surreali(X1))),k1_tarski(k11_surreal0))))=>v2_surreali(X2))))), inference(assume_negation,[status(cth)],[t21_surreali])).
cnf(c_0_12, plain, (v2_surreali(X1)|X1=k11_surreal0|~r2_tarski(X1,k1_surreal0(X2))|~epred1_3(X2,X1,X3)), inference(split_conjunct,[status(thm)],[c_0_8])).
cnf(c_0_13, plain, (X1=k11_surreal0|v2_surreali(X1)|epred1_3(X2,X1,X3)|r2_tarski(X1,k1_surreal0(X2))|r2_tarski(X1,k2_surreal0(X2))), inference(cn,[status(thm)],[c_0_9])).
cnf(c_0_14, plain, (v2_surreali(X1)|~r2_tarski(X1,k2_surreal0(X2))|~epred1_3(X2,X1,X3)), inference(split_conjunct,[status(thm)],[c_0_8])).
fof(c_0_15, plain, ![X35, X36, X37]:((X36!=k7_surreali(X35)|(~v2_surreal0(X37)|epred1_3(X36,X37,X35))|(~v2_surreal0(X36)|~v2_surreali(X36))|(~v2_surreal0(X35)|~v2_surreali(X35)))&((v2_surreal0(esk4_2(X35,X36))|X36=k7_surreali(X35)|(~v2_surreal0(X36)|~v2_surreali(X36))|(~v2_surreal0(X35)|~v2_surreali(X35)))&(~epred1_3(X36,esk4_2(X35,X36),X35)|X36=k7_surreali(X35)|(~v2_surreal0(X36)|~v2_surreali(X36))|(~v2_surreal0(X35)|~v2_surreali(X35))))), 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])])])])])).
fof(c_0_16, plain, ![X46, X47, X48]:(((r2_hidden(X47,X48)|~r2_hidden(X47,k4_xboole_0(X48,k1_tarski(X46))))&(X47!=X46|~r2_hidden(X47,k4_xboole_0(X48,k1_tarski(X46)))))&(~r2_hidden(X47,X48)|X47=X46|r2_hidden(X47,k4_xboole_0(X48,k1_tarski(X46))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t56_zfmisc_1])])])).
fof(c_0_17, plain, ![X42, X43]:k6_subset_1(X42,X43)=k4_xboole_0(X42,X43), inference(variable_rename,[status(thm)],[redefinition_k6_subset_1])).
fof(c_0_18, plain, ![X44, X45]:((~r2_tarski(X44,X45)|r2_hidden(X44,X45))&(~r2_hidden(X44,X45)|r2_tarski(X44,X45))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_r2_tarski])])).
fof(c_0_19, negated_conjecture, (v2_surreal0(esk1_0)&(v2_surreal0(esk2_0)&((v2_surreali(esk1_0)&r2_tarski(esk2_0,k6_subset_1(k2_xboole_0(k1_surreal0(k7_surreali(esk1_0)),k2_surreal0(k7_surreali(esk1_0))),k1_tarski(k11_surreal0))))&~v2_surreali(esk2_0)))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])])).
cnf(c_0_20, plain, (X1=k11_surreal0|epred1_3(X2,X1,X3)|v2_surreali(X1)|~epred1_3(X2,X1,X4)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_12, c_0_13]), c_0_14])).
cnf(c_0_21, plain, (epred1_3(X1,X3,X2)|X1!=k7_surreali(X2)|~v2_surreal0(X3)|~v2_surreal0(X1)|~v2_surreali(X1)|~v2_surreal0(X2)|~v2_surreali(X2)), inference(split_conjunct,[status(thm)],[c_0_15])).
fof(c_0_22, plain, ![X39]:(v2_surreal0(k7_surreali(X39))&v2_surreali(k7_surreali(X39))), inference(variable_rename,[status(thm)],[dt_k7_surreali])).
fof(c_0_23, plain, ![X26, X27, X28, X29, X30, X31, X32, X33]:(((~r2_hidden(X29,X28)|(r2_hidden(X29,X26)|r2_hidden(X29,X27))|X28!=k2_xboole_0(X26,X27))&((~r2_hidden(X30,X26)|r2_hidden(X30,X28)|X28!=k2_xboole_0(X26,X27))&(~r2_hidden(X30,X27)|r2_hidden(X30,X28)|X28!=k2_xboole_0(X26,X27))))&(((~r2_hidden(esk3_3(X31,X32,X33),X31)|~r2_hidden(esk3_3(X31,X32,X33),X33)|X33=k2_xboole_0(X31,X32))&(~r2_hidden(esk3_3(X31,X32,X33),X32)|~r2_hidden(esk3_3(X31,X32,X33),X33)|X33=k2_xboole_0(X31,X32)))&(r2_hidden(esk3_3(X31,X32,X33),X33)|(r2_hidden(esk3_3(X31,X32,X33),X31)|r2_hidden(esk3_3(X31,X32,X33),X32))|X33=k2_xboole_0(X31,X32)))), 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_xboole_0])])])])])])).
cnf(c_0_24, plain, (r2_hidden(X1,X2)|~r2_hidden(X1,k4_xboole_0(X2,k1_tarski(X3)))), inference(split_conjunct,[status(thm)],[c_0_16])).
cnf(c_0_25, plain, (k6_subset_1(X1,X2)=k4_xboole_0(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_17])).
cnf(c_0_26, plain, (r2_hidden(X1,X2)|~r2_tarski(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_18])).
cnf(c_0_27, negated_conjecture, (r2_tarski(esk2_0,k6_subset_1(k2_xboole_0(k1_surreal0(k7_surreali(esk1_0)),k2_surreal0(k7_surreali(esk1_0))),k1_tarski(k11_surreal0)))), inference(split_conjunct,[status(thm)],[c_0_19])).
cnf(c_0_28, plain, (r2_tarski(X1,X2)|~r2_hidden(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_18])).
cnf(c_0_29, plain, (X1=k11_surreal0|epred1_3(X2,X1,X3)|v2_surreali(X1)|X2!=k7_surreali(X4)|~v2_surreali(X4)|~v2_surreali(X2)|~v2_surreal0(X1)|~v2_surreal0(X4)|~v2_surreal0(X2)), inference(spm,[status(thm)],[c_0_20, c_0_21])).
cnf(c_0_30, plain, (v2_surreali(k7_surreali(X1))), inference(split_conjunct,[status(thm)],[c_0_22])).
cnf(c_0_31, plain, (v2_surreal0(k7_surreali(X1))), inference(split_conjunct,[status(thm)],[c_0_22])).
cnf(c_0_32, plain, (r2_hidden(X1,X3)|r2_hidden(X1,X4)|~r2_hidden(X1,X2)|X2!=k2_xboole_0(X3,X4)), inference(split_conjunct,[status(thm)],[c_0_23])).
cnf(c_0_33, plain, (r2_hidden(X1,X2)|~r2_hidden(X1,k6_subset_1(X2,k1_tarski(X3)))), inference(rw,[status(thm)],[c_0_24, c_0_25])).
cnf(c_0_34, negated_conjecture, (r2_hidden(esk2_0,k6_subset_1(k2_xboole_0(k1_surreal0(k7_surreali(esk1_0)),k2_surreal0(k7_surreali(esk1_0))),k1_tarski(k11_surreal0)))), inference(spm,[status(thm)],[c_0_26, c_0_27])).
cnf(c_0_35, plain, (X1=k11_surreal0|v2_surreali(X1)|~epred1_3(X2,X1,X3)|~r2_hidden(X1,k1_surreal0(X2))), inference(spm,[status(thm)],[c_0_12, c_0_28])).
cnf(c_0_36, plain, (X1=k11_surreal0|epred1_3(k7_surreali(X2),X1,X3)|v2_surreali(X1)|~v2_surreali(X2)|~v2_surreal0(X1)|~v2_surreal0(X2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_29]), c_0_30]), c_0_31])])).
cnf(c_0_37, plain, (r2_hidden(X1,X2)|r2_hidden(X1,X3)|~r2_hidden(X1,k2_xboole_0(X2,X3))), inference(er,[status(thm)],[c_0_32])).
cnf(c_0_38, negated_conjecture, (r2_hidden(esk2_0,k2_xboole_0(k1_surreal0(k7_surreali(esk1_0)),k2_surreal0(k7_surreali(esk1_0))))), inference(spm,[status(thm)],[c_0_33, c_0_34])).
cnf(c_0_39, plain, (v2_surreali(X1)|~epred1_3(X2,X1,X3)|~r2_hidden(X1,k2_surreal0(X2))), inference(spm,[status(thm)],[c_0_14, c_0_28])).
cnf(c_0_40, plain, (X1=k11_surreal0|v2_surreali(X1)|~r2_hidden(X1,k1_surreal0(k7_surreali(X2)))|~v2_surreali(X2)|~v2_surreal0(X1)|~v2_surreal0(X2)), inference(spm,[status(thm)],[c_0_35, c_0_36])).
cnf(c_0_41, negated_conjecture, (r2_hidden(esk2_0,k2_surreal0(k7_surreali(esk1_0)))|r2_hidden(esk2_0,k1_surreal0(k7_surreali(esk1_0)))), inference(spm,[status(thm)],[c_0_37, c_0_38])).
cnf(c_0_42, negated_conjecture, (v2_surreali(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_19])).
cnf(c_0_43, negated_conjecture, (v2_surreal0(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_19])).
cnf(c_0_44, negated_conjecture, (v2_surreal0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_19])).
cnf(c_0_45, negated_conjecture, (~v2_surreali(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_19])).
cnf(c_0_46, plain, (X1!=X2|~r2_hidden(X1,k4_xboole_0(X3,k1_tarski(X2)))), inference(split_conjunct,[status(thm)],[c_0_16])).
cnf(c_0_47, plain, (X1=k11_surreal0|v2_surreali(X1)|~r2_hidden(X1,k2_surreal0(k7_surreali(X2)))|~v2_surreali(X2)|~v2_surreal0(X1)|~v2_surreal0(X2)), inference(spm,[status(thm)],[c_0_39, c_0_36])).
cnf(c_0_48, negated_conjecture, (esk2_0=k11_surreal0|r2_hidden(esk2_0,k2_surreal0(k7_surreali(esk1_0)))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40, c_0_41]), c_0_42]), c_0_43]), c_0_44])]), c_0_45])).
cnf(c_0_49, plain, (X1!=X2|~r2_hidden(X1,k6_subset_1(X3,k1_tarski(X2)))), inference(rw,[status(thm)],[c_0_46, c_0_25])).
cnf(c_0_50, plain, (esk2_0=k11_surreal0), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47, c_0_48]), c_0_42]), c_0_43]), c_0_44])]), c_0_45])).
cnf(c_0_51, plain, (~r2_hidden(X1,k6_subset_1(X2,k1_tarski(X1)))), inference(er,[status(thm)],[c_0_49])).
cnf(c_0_52, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_34, c_0_50]), c_0_51]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 53
# Proof object clause steps            : 35
# Proof object formula steps           : 18
# Proof object conjectures             : 13
# Proof object clause conjectures      : 10
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 17
# Proof object initial formulas used   : 7
# Proof object generating inferences   : 13
# Proof object simplifying inferences  : 20
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 9
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 85
# Removed in clause preprocessing      : 47
# Initial clauses in saturation        : 38
# Processed clauses                    : 158
# ...of these trivial                  : 0
# ...subsumed                          : 35
# ...remaining for further processing  : 123
# Other redundant clauses eliminated   : 4
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 0
# Backward-rewritten                   : 13
# Generated clauses                    : 309
# ...of the previous two non-trivial   : 223
# Contextual simplify-reflections      : 3
# Paramodulations                      : 288
# Factorizations                       : 12
# NegExts                              : 0
# Equation resolutions                 : 9
# 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  : 73
#    Positive orientable unit clauses  : 6
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 1
#    Non-unit-clauses                  : 66
# Current number of unprocessed clauses: 131
# ...number of literals in the above   : 848
# Current number of archived formulas  : 0
# Current number of archived clauses   : 52
# Clause-clause subsumption calls (NU) : 761
# Rec. Clause-clause subsumption calls : 225
# Non-unit clause-clause subsumptions  : 31
# Unit Clause-clause subsumption calls : 128
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 7
# BW rewrite match successes           : 2
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 10172

# -------------------------------------------------
# User time                : 0.030 s
# System time              : 0.004 s
# Total time               : 0.034 s
# Maximum resident set size: 3540 pages
