# No SInE strategy applied
# Trying AutoSched0 for 161 seconds
# AutoSched0-Mode selected heuristic G_E___208_C18AMC_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
# and selection function SelectComplexExceptUniqMaxHorn.
#
# Preprocessing time       : 0.025 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(d1_surreals, axiom, ![X1, X2]:(v1_xtuple_0(X2)=>(X2=k1_surreals(X1)<=>![X3]:(((~((r2_hidden(X3,k1_surreal0(X2))&![X4]:(v2_surreal0(X4)=>~(((X3=X4&r2_tarski(X4,k1_surreal0(X1)))&r1_surrealo(k11_surreal0,X4))))))&(?[X4]:(((v2_surreal0(X4)&X3=X4)&r2_tarski(X4,k1_surreal0(X1)))&r1_surrealo(k11_surreal0,X4))=>r2_hidden(X3,k1_surreal0(X2))))&~((r2_hidden(X3,k2_surreal0(X2))&![X4]:(v2_surreal0(X4)=>~(((X3=X4&r2_tarski(X4,k2_surreal0(X1)))&r1_surrealo(k11_surreal0,X4)))))))&(?[X4]:(((v2_surreal0(X4)&X3=X4)&r2_tarski(X4,k2_surreal0(X1)))&r1_surrealo(k11_surreal0,X4))=>r2_hidden(X3,k2_surreal0(X2)))))), file('surreals/surreals__t1_surreals', d1_surreals)).
fof(d3_tarski, axiom, ![X1, X2]:(r1_tarski(X1,X2)<=>![X3]:(r2_hidden(X3,X1)=>r2_hidden(X3,X2))), file('surreals/surreals__t1_surreals', d3_tarski)).
fof(dt_k1_surreals, axiom, ![X1]:v1_xtuple_0(k1_surreals(X1)), file('surreals/surreals__t1_surreals', dt_k1_surreals)).
fof(redefinition_r2_tarski, axiom, ![X1, X2]:(r2_tarski(X1,X2)<=>r2_hidden(X1,X2)), file('surreals/surreals__t1_surreals', redefinition_r2_tarski)).
fof(t1_surreals, conjecture, ![X1]:(r1_tarski(k1_surreal0(k1_surreals(X1)),k1_surreal0(X1))&r1_tarski(k2_surreal0(k1_surreals(X1)),k2_surreal0(X1))), file('surreals/surreals__t1_surreals', t1_surreals)).
fof(c_0_5, plain, ![X1, X2]:(epred1_2(X2,X1)<=>![X3]:(((~((r2_hidden(X3,k1_surreal0(X2))&![X4]:(v2_surreal0(X4)=>~(((X3=X4&r2_tarski(X4,k1_surreal0(X1)))&r1_surrealo(k11_surreal0,X4))))))&(?[X4]:(((v2_surreal0(X4)&X3=X4)&r2_tarski(X4,k1_surreal0(X1)))&r1_surrealo(k11_surreal0,X4))=>r2_hidden(X3,k1_surreal0(X2))))&~((r2_hidden(X3,k2_surreal0(X2))&![X4]:(v2_surreal0(X4)=>~(((X3=X4&r2_tarski(X4,k2_surreal0(X1)))&r1_surrealo(k11_surreal0,X4)))))))&(?[X4]:(((v2_surreal0(X4)&X3=X4)&r2_tarski(X4,k2_surreal0(X1)))&r1_surrealo(k11_surreal0,X4))=>r2_hidden(X3,k2_surreal0(X2))))), introduced(definition)).
fof(c_0_6, plain, ![X35, X36, X37, X39, X40, X41, X43, X44, X45, X46, X48, X52]:((((((v2_surreal0(esk3_3(X35,X36,X37))|~r2_hidden(X37,k1_surreal0(X36))|~epred1_2(X36,X35))&(((X37=esk3_3(X35,X36,X37)|~r2_hidden(X37,k1_surreal0(X36))|~epred1_2(X36,X35))&(r2_tarski(esk3_3(X35,X36,X37),k1_surreal0(X35))|~r2_hidden(X37,k1_surreal0(X36))|~epred1_2(X36,X35)))&(r1_surrealo(k11_surreal0,esk3_3(X35,X36,X37))|~r2_hidden(X37,k1_surreal0(X36))|~epred1_2(X36,X35))))&(~v2_surreal0(X40)|X39!=X40|~r2_tarski(X40,k1_surreal0(X35))|~r1_surrealo(k11_surreal0,X40)|r2_hidden(X39,k1_surreal0(X36))|~epred1_2(X36,X35)))&((v2_surreal0(esk4_3(X35,X36,X41))|~r2_hidden(X41,k2_surreal0(X36))|~epred1_2(X36,X35))&(((X41=esk4_3(X35,X36,X41)|~r2_hidden(X41,k2_surreal0(X36))|~epred1_2(X36,X35))&(r2_tarski(esk4_3(X35,X36,X41),k2_surreal0(X35))|~r2_hidden(X41,k2_surreal0(X36))|~epred1_2(X36,X35)))&(r1_surrealo(k11_surreal0,esk4_3(X35,X36,X41))|~r2_hidden(X41,k2_surreal0(X36))|~epred1_2(X36,X35)))))&(~v2_surreal0(X44)|X43!=X44|~r2_tarski(X44,k2_surreal0(X35))|~r1_surrealo(k11_surreal0,X44)|r2_hidden(X43,k2_surreal0(X36))|~epred1_2(X36,X35)))&(((((((((((v2_surreal0(esk10_2(X45,X46))|(r2_hidden(esk8_2(X45,X46),k2_surreal0(X46))|(v2_surreal0(esk7_2(X45,X46))|r2_hidden(esk5_2(X45,X46),k1_surreal0(X46))))|epred1_2(X46,X45))&(esk9_2(X45,X46)=esk10_2(X45,X46)|(r2_hidden(esk8_2(X45,X46),k2_surreal0(X46))|(v2_surreal0(esk7_2(X45,X46))|r2_hidden(esk5_2(X45,X46),k1_surreal0(X46))))|epred1_2(X46,X45)))&(r2_tarski(esk10_2(X45,X46),k2_surreal0(X45))|(r2_hidden(esk8_2(X45,X46),k2_surreal0(X46))|(v2_surreal0(esk7_2(X45,X46))|r2_hidden(esk5_2(X45,X46),k1_surreal0(X46))))|epred1_2(X46,X45)))&(r1_surrealo(k11_surreal0,esk10_2(X45,X46))|(r2_hidden(esk8_2(X45,X46),k2_surreal0(X46))|(v2_surreal0(esk7_2(X45,X46))|r2_hidden(esk5_2(X45,X46),k1_surreal0(X46))))|epred1_2(X46,X45)))&(~r2_hidden(esk9_2(X45,X46),k2_surreal0(X46))|(r2_hidden(esk8_2(X45,X46),k2_surreal0(X46))|(v2_surreal0(esk7_2(X45,X46))|r2_hidden(esk5_2(X45,X46),k1_surreal0(X46))))|epred1_2(X46,X45)))&(((((v2_surreal0(esk10_2(X45,X46))|(~v2_surreal0(X52)|(esk8_2(X45,X46)!=X52|~r2_tarski(X52,k2_surreal0(X45))|~r1_surrealo(k11_surreal0,X52))|(v2_surreal0(esk7_2(X45,X46))|r2_hidden(esk5_2(X45,X46),k1_surreal0(X46))))|epred1_2(X46,X45))&(esk9_2(X45,X46)=esk10_2(X45,X46)|(~v2_surreal0(X52)|(esk8_2(X45,X46)!=X52|~r2_tarski(X52,k2_surreal0(X45))|~r1_surrealo(k11_surreal0,X52))|(v2_surreal0(esk7_2(X45,X46))|r2_hidden(esk5_2(X45,X46),k1_surreal0(X46))))|epred1_2(X46,X45)))&(r2_tarski(esk10_2(X45,X46),k2_surreal0(X45))|(~v2_surreal0(X52)|(esk8_2(X45,X46)!=X52|~r2_tarski(X52,k2_surreal0(X45))|~r1_surrealo(k11_surreal0,X52))|(v2_surreal0(esk7_2(X45,X46))|r2_hidden(esk5_2(X45,X46),k1_surreal0(X46))))|epred1_2(X46,X45)))&(r1_surrealo(k11_surreal0,esk10_2(X45,X46))|(~v2_surreal0(X52)|(esk8_2(X45,X46)!=X52|~r2_tarski(X52,k2_surreal0(X45))|~r1_surrealo(k11_surreal0,X52))|(v2_surreal0(esk7_2(X45,X46))|r2_hidden(esk5_2(X45,X46),k1_surreal0(X46))))|epred1_2(X46,X45)))&(~r2_hidden(esk9_2(X45,X46),k2_surreal0(X46))|(~v2_surreal0(X52)|(esk8_2(X45,X46)!=X52|~r2_tarski(X52,k2_surreal0(X45))|~r1_surrealo(k11_surreal0,X52))|(v2_surreal0(esk7_2(X45,X46))|r2_hidden(esk5_2(X45,X46),k1_surreal0(X46))))|epred1_2(X46,X45))))&((((((v2_surreal0(esk10_2(X45,X46))|(r2_hidden(esk8_2(X45,X46),k2_surreal0(X46))|(esk6_2(X45,X46)=esk7_2(X45,X46)|r2_hidden(esk5_2(X45,X46),k1_surreal0(X46))))|epred1_2(X46,X45))&(esk9_2(X45,X46)=esk10_2(X45,X46)|(r2_hidden(esk8_2(X45,X46),k2_surreal0(X46))|(esk6_2(X45,X46)=esk7_2(X45,X46)|r2_hidden(esk5_2(X45,X46),k1_surreal0(X46))))|epred1_2(X46,X45)))&(r2_tarski(esk10_2(X45,X46),k2_surreal0(X45))|(r2_hidden(esk8_2(X45,X46),k2_surreal0(X46))|(esk6_2(X45,X46)=esk7_2(X45,X46)|r2_hidden(esk5_2(X45,X46),k1_surreal0(X46))))|epred1_2(X46,X45)))&(r1_surrealo(k11_surreal0,esk10_2(X45,X46))|(r2_hidden(esk8_2(X45,X46),k2_surreal0(X46))|(esk6_2(X45,X46)=esk7_2(X45,X46)|r2_hidden(esk5_2(X45,X46),k1_surreal0(X46))))|epred1_2(X46,X45)))&(~r2_hidden(esk9_2(X45,X46),k2_surreal0(X46))|(r2_hidden(esk8_2(X45,X46),k2_surreal0(X46))|(esk6_2(X45,X46)=esk7_2(X45,X46)|r2_hidden(esk5_2(X45,X46),k1_surreal0(X46))))|epred1_2(X46,X45)))&(((((v2_surreal0(esk10_2(X45,X46))|(~v2_surreal0(X52)|(esk8_2(X45,X46)!=X52|~r2_tarski(X52,k2_surreal0(X45))|~r1_surrealo(k11_surreal0,X52))|(esk6_2(X45,X46)=esk7_2(X45,X46)|r2_hidden(esk5_2(X45,X46),k1_surreal0(X46))))|epred1_2(X46,X45))&(esk9_2(X45,X46)=esk10_2(X45,X46)|(~v2_surreal0(X52)|(esk8_2(X45,X46)!=X52|~r2_tarski(X52,k2_surreal0(X45))|~r1_surrealo(k11_surreal0,X52))|(esk6_2(X45,X46)=esk7_2(X45,X46)|r2_hidden(esk5_2(X45,X46),k1_surreal0(X46))))|epred1_2(X46,X45)))&(r2_tarski(esk10_2(X45,X46),k2_surreal0(X45))|(~v2_surreal0(X52)|(esk8_2(X45,X46)!=X52|~r2_tarski(X52,k2_surreal0(X45))|~r1_surrealo(k11_surreal0,X52))|(esk6_2(X45,X46)=esk7_2(X45,X46)|r2_hidden(esk5_2(X45,X46),k1_surreal0(X46))))|epred1_2(X46,X45)))&(r1_surrealo(k11_surreal0,esk10_2(X45,X46))|(~v2_surreal0(X52)|(esk8_2(X45,X46)!=X52|~r2_tarski(X52,k2_surreal0(X45))|~r1_surrealo(k11_surreal0,X52))|(esk6_2(X45,X46)=esk7_2(X45,X46)|r2_hidden(esk5_2(X45,X46),k1_surreal0(X46))))|epred1_2(X46,X45)))&(~r2_hidden(esk9_2(X45,X46),k2_surreal0(X46))|(~v2_surreal0(X52)|(esk8_2(X45,X46)!=X52|~r2_tarski(X52,k2_surreal0(X45))|~r1_surrealo(k11_surreal0,X52))|(esk6_2(X45,X46)=esk7_2(X45,X46)|r2_hidden(esk5_2(X45,X46),k1_surreal0(X46))))|epred1_2(X46,X45)))))&((((((v2_surreal0(esk10_2(X45,X46))|(r2_hidden(esk8_2(X45,X46),k2_surreal0(X46))|(r2_tarski(esk7_2(X45,X46),k1_surreal0(X45))|r2_hidden(esk5_2(X45,X46),k1_surreal0(X46))))|epred1_2(X46,X45))&(esk9_2(X45,X46)=esk10_2(X45,X46)|(r2_hidden(esk8_2(X45,X46),k2_surreal0(X46))|(r2_tarski(esk7_2(X45,X46),k1_surreal0(X45))|r2_hidden(esk5_2(X45,X46),k1_surreal0(X46))))|epred1_2(X46,X45)))&(r2_tarski(esk10_2(X45,X46),k2_surreal0(X45))|(r2_hidden(esk8_2(X45,X46),k2_surreal0(X46))|(r2_tarski(esk7_2(X45,X46),k1_surreal0(X45))|r2_hidden(esk5_2(X45,X46),k1_surreal0(X46))))|epred1_2(X46,X45)))&(r1_surrealo(k11_surreal0,esk10_2(X45,X46))|(r2_hidden(esk8_2(X45,X46),k2_surreal0(X46))|(r2_tarski(esk7_2(X45,X46),k1_surreal0(X45))|r2_hidden(esk5_2(X45,X46),k1_surreal0(X46))))|epred1_2(X46,X45)))&(~r2_hidden(esk9_2(X45,X46),k2_surreal0(X46))|(r2_hidden(esk8_2(X45,X46),k2_surreal0(X46))|(r2_tarski(esk7_2(X45,X46),k1_surreal0(X45))|r2_hidden(esk5_2(X45,X46),k1_surreal0(X46))))|epred1_2(X46,X45)))&(((((v2_surreal0(esk10_2(X45,X46))|(~v2_surreal0(X52)|(esk8_2(X45,X46)!=X52|~r2_tarski(X52,k2_surreal0(X45))|~r1_surrealo(k11_surreal0,X52))|(r2_tarski(esk7_2(X45,X46),k1_surreal0(X45))|r2_hidden(esk5_2(X45,X46),k1_surreal0(X46))))|epred1_2(X46,X45))&(esk9_2(X45,X46)=esk10_2(X45,X46)|(~v2_surreal0(X52)|(esk8_2(X45,X46)!=X52|~r2_tarski(X52,k2_surreal0(X45))|~r1_surrealo(k11_surreal0,X52))|(r2_tarski(esk7_2(X45,X46),k1_surreal0(X45))|r2_hidden(esk5_2(X45,X46),k1_surreal0(X46))))|epred1_2(X46,X45)))&(r2_tarski(esk10_2(X45,X46),k2_surreal0(X45))|(~v2_surreal0(X52)|(esk8_2(X45,X46)!=X52|~r2_tarski(X52,k2_surreal0(X45))|~r1_surrealo(k11_surreal0,X52))|(r2_tarski(esk7_2(X45,X46),k1_surreal0(X45))|r2_hidden(esk5_2(X45,X46),k1_surreal0(X46))))|epred1_2(X46,X45)))&(r1_surrealo(k11_surreal0,esk10_2(X45,X46))|(~v2_surreal0(X52)|(esk8_2(X45,X46)!=X52|~r2_tarski(X52,k2_surreal0(X45))|~r1_surrealo(k11_surreal0,X52))|(r2_tarski(esk7_2(X45,X46),k1_surreal0(X45))|r2_hidden(esk5_2(X45,X46),k1_surreal0(X46))))|epred1_2(X46,X45)))&(~r2_hidden(esk9_2(X45,X46),k2_surreal0(X46))|(~v2_surreal0(X52)|(esk8_2(X45,X46)!=X52|~r2_tarski(X52,k2_surreal0(X45))|~r1_surrealo(k11_surreal0,X52))|(r2_tarski(esk7_2(X45,X46),k1_surreal0(X45))|r2_hidden(esk5_2(X45,X46),k1_surreal0(X46))))|epred1_2(X46,X45)))))&((((((v2_surreal0(esk10_2(X45,X46))|(r2_hidden(esk8_2(X45,X46),k2_surreal0(X46))|(r1_surrealo(k11_surreal0,esk7_2(X45,X46))|r2_hidden(esk5_2(X45,X46),k1_surreal0(X46))))|epred1_2(X46,X45))&(esk9_2(X45,X46)=esk10_2(X45,X46)|(r2_hidden(esk8_2(X45,X46),k2_surreal0(X46))|(r1_surrealo(k11_surreal0,esk7_2(X45,X46))|r2_hidden(esk5_2(X45,X46),k1_surreal0(X46))))|epred1_2(X46,X45)))&(r2_tarski(esk10_2(X45,X46),k2_surreal0(X45))|(r2_hidden(esk8_2(X45,X46),k2_surreal0(X46))|(r1_surrealo(k11_surreal0,esk7_2(X45,X46))|r2_hidden(esk5_2(X45,X46),k1_surreal0(X46))))|epred1_2(X46,X45)))&(r1_surrealo(k11_surreal0,esk10_2(X45,X46))|(r2_hidden(esk8_2(X45,X46),k2_surreal0(X46))|(r1_surrealo(k11_surreal0,esk7_2(X45,X46))|r2_hidden(esk5_2(X45,X46),k1_surreal0(X46))))|epred1_2(X46,X45)))&(~r2_hidden(esk9_2(X45,X46),k2_surreal0(X46))|(r2_hidden(esk8_2(X45,X46),k2_surreal0(X46))|(r1_surrealo(k11_surreal0,esk7_2(X45,X46))|r2_hidden(esk5_2(X45,X46),k1_surreal0(X46))))|epred1_2(X46,X45)))&(((((v2_surreal0(esk10_2(X45,X46))|(~v2_surreal0(X52)|(esk8_2(X45,X46)!=X52|~r2_tarski(X52,k2_surreal0(X45))|~r1_surrealo(k11_surreal0,X52))|(r1_surrealo(k11_surreal0,esk7_2(X45,X46))|r2_hidden(esk5_2(X45,X46),k1_surreal0(X46))))|epred1_2(X46,X45))&(esk9_2(X45,X46)=esk10_2(X45,X46)|(~v2_surreal0(X52)|(esk8_2(X45,X46)!=X52|~r2_tarski(X52,k2_surreal0(X45))|~r1_surrealo(k11_surreal0,X52))|(r1_surrealo(k11_surreal0,esk7_2(X45,X46))|r2_hidden(esk5_2(X45,X46),k1_surreal0(X46))))|epred1_2(X46,X45)))&(r2_tarski(esk10_2(X45,X46),k2_surreal0(X45))|(~v2_surreal0(X52)|(esk8_2(X45,X46)!=X52|~r2_tarski(X52,k2_surreal0(X45))|~r1_surrealo(k11_surreal0,X52))|(r1_surrealo(k11_surreal0,esk7_2(X45,X46))|r2_hidden(esk5_2(X45,X46),k1_surreal0(X46))))|epred1_2(X46,X45)))&(r1_surrealo(k11_surreal0,esk10_2(X45,X46))|(~v2_surreal0(X52)|(esk8_2(X45,X46)!=X52|~r2_tarski(X52,k2_surreal0(X45))|~r1_surrealo(k11_surreal0,X52))|(r1_surrealo(k11_surreal0,esk7_2(X45,X46))|r2_hidden(esk5_2(X45,X46),k1_surreal0(X46))))|epred1_2(X46,X45)))&(~r2_hidden(esk9_2(X45,X46),k2_surreal0(X46))|(~v2_surreal0(X52)|(esk8_2(X45,X46)!=X52|~r2_tarski(X52,k2_surreal0(X45))|~r1_surrealo(k11_surreal0,X52))|(r1_surrealo(k11_surreal0,esk7_2(X45,X46))|r2_hidden(esk5_2(X45,X46),k1_surreal0(X46))))|epred1_2(X46,X45)))))&((((((v2_surreal0(esk10_2(X45,X46))|(r2_hidden(esk8_2(X45,X46),k2_surreal0(X46))|(~r2_hidden(esk6_2(X45,X46),k1_surreal0(X46))|r2_hidden(esk5_2(X45,X46),k1_surreal0(X46))))|epred1_2(X46,X45))&(esk9_2(X45,X46)=esk10_2(X45,X46)|(r2_hidden(esk8_2(X45,X46),k2_surreal0(X46))|(~r2_hidden(esk6_2(X45,X46),k1_surreal0(X46))|r2_hidden(esk5_2(X45,X46),k1_surreal0(X46))))|epred1_2(X46,X45)))&(r2_tarski(esk10_2(X45,X46),k2_surreal0(X45))|(r2_hidden(esk8_2(X45,X46),k2_surreal0(X46))|(~r2_hidden(esk6_2(X45,X46),k1_surreal0(X46))|r2_hidden(esk5_2(X45,X46),k1_surreal0(X46))))|epred1_2(X46,X45)))&(r1_surrealo(k11_surreal0,esk10_2(X45,X46))|(r2_hidden(esk8_2(X45,X46),k2_surreal0(X46))|(~r2_hidden(esk6_2(X45,X46),k1_surreal0(X46))|r2_hidden(esk5_2(X45,X46),k1_surreal0(X46))))|epred1_2(X46,X45)))&(~r2_hidden(esk9_2(X45,X46),k2_surreal0(X46))|(r2_hidden(esk8_2(X45,X46),k2_surreal0(X46))|(~r2_hidden(esk6_2(X45,X46),k1_surreal0(X46))|r2_hidden(esk5_2(X45,X46),k1_surreal0(X46))))|epred1_2(X46,X45)))&(((((v2_surreal0(esk10_2(X45,X46))|(~v2_surreal0(X52)|(esk8_2(X45,X46)!=X52|~r2_tarski(X52,k2_surreal0(X45))|~r1_surrealo(k11_surreal0,X52))|(~r2_hidden(esk6_2(X45,X46),k1_surreal0(X46))|r2_hidden(esk5_2(X45,X46),k1_surreal0(X46))))|epred1_2(X46,X45))&(esk9_2(X45,X46)=esk10_2(X45,X46)|(~v2_surreal0(X52)|(esk8_2(X45,X46)!=X52|~r2_tarski(X52,k2_surreal0(X45))|~r1_surrealo(k11_surreal0,X52))|(~r2_hidden(esk6_2(X45,X46),k1_surreal0(X46))|r2_hidden(esk5_2(X45,X46),k1_surreal0(X46))))|epred1_2(X46,X45)))&(r2_tarski(esk10_2(X45,X46),k2_surreal0(X45))|(~v2_surreal0(X52)|(esk8_2(X45,X46)!=X52|~r2_tarski(X52,k2_surreal0(X45))|~r1_surrealo(k11_surreal0,X52))|(~r2_hidden(esk6_2(X45,X46),k1_surreal0(X46))|r2_hidden(esk5_2(X45,X46),k1_surreal0(X46))))|epred1_2(X46,X45)))&(r1_surrealo(k11_surreal0,esk10_2(X45,X46))|(~v2_surreal0(X52)|(esk8_2(X45,X46)!=X52|~r2_tarski(X52,k2_surreal0(X45))|~r1_surrealo(k11_surreal0,X52))|(~r2_hidden(esk6_2(X45,X46),k1_surreal0(X46))|r2_hidden(esk5_2(X45,X46),k1_surreal0(X46))))|epred1_2(X46,X45)))&(~r2_hidden(esk9_2(X45,X46),k2_surreal0(X46))|(~v2_surreal0(X52)|(esk8_2(X45,X46)!=X52|~r2_tarski(X52,k2_surreal0(X45))|~r1_surrealo(k11_surreal0,X52))|(~r2_hidden(esk6_2(X45,X46),k1_surreal0(X46))|r2_hidden(esk5_2(X45,X46),k1_surreal0(X46))))|epred1_2(X46,X45)))))&((((((((((v2_surreal0(esk10_2(X45,X46))|(r2_hidden(esk8_2(X45,X46),k2_surreal0(X46))|(v2_surreal0(esk7_2(X45,X46))|(~v2_surreal0(X48)|(esk5_2(X45,X46)!=X48|~r2_tarski(X48,k1_surreal0(X45))|~r1_surrealo(k11_surreal0,X48)))))|epred1_2(X46,X45))&(esk9_2(X45,X46)=esk10_2(X45,X46)|(r2_hidden(esk8_2(X45,X46),k2_surreal0(X46))|(v2_surreal0(esk7_2(X45,X46))|(~v2_surreal0(X48)|(esk5_2(X45,X46)!=X48|~r2_tarski(X48,k1_surreal0(X45))|~r1_surrealo(k11_surreal0,X48)))))|epred1_2(X46,X45)))&(r2_tarski(esk10_2(X45,X46),k2_surreal0(X45))|(r2_hidden(esk8_2(X45,X46),k2_surreal0(X46))|(v2_surreal0(esk7_2(X45,X46))|(~v2_surreal0(X48)|(esk5_2(X45,X46)!=X48|~r2_tarski(X48,k1_surreal0(X45))|~r1_surrealo(k11_surreal0,X48)))))|epred1_2(X46,X45)))&(r1_surrealo(k11_surreal0,esk10_2(X45,X46))|(r2_hidden(esk8_2(X45,X46),k2_surreal0(X46))|(v2_surreal0(esk7_2(X45,X46))|(~v2_surreal0(X48)|(esk5_2(X45,X46)!=X48|~r2_tarski(X48,k1_surreal0(X45))|~r1_surrealo(k11_surreal0,X48)))))|epred1_2(X46,X45)))&(~r2_hidden(esk9_2(X45,X46),k2_surreal0(X46))|(r2_hidden(esk8_2(X45,X46),k2_surreal0(X46))|(v2_surreal0(esk7_2(X45,X46))|(~v2_surreal0(X48)|(esk5_2(X45,X46)!=X48|~r2_tarski(X48,k1_surreal0(X45))|~r1_surrealo(k11_surreal0,X48)))))|epred1_2(X46,X45)))&(((((v2_surreal0(esk10_2(X45,X46))|(~v2_surreal0(X52)|(esk8_2(X45,X46)!=X52|~r2_tarski(X52,k2_surreal0(X45))|~r1_surrealo(k11_surreal0,X52))|(v2_surreal0(esk7_2(X45,X46))|(~v2_surreal0(X48)|(esk5_2(X45,X46)!=X48|~r2_tarski(X48,k1_surreal0(X45))|~r1_surrealo(k11_surreal0,X48)))))|epred1_2(X46,X45))&(esk9_2(X45,X46)=esk10_2(X45,X46)|(~v2_surreal0(X52)|(esk8_2(X45,X46)!=X52|~r2_tarski(X52,k2_surreal0(X45))|~r1_surrealo(k11_surreal0,X52))|(v2_surreal0(esk7_2(X45,X46))|(~v2_surreal0(X48)|(esk5_2(X45,X46)!=X48|~r2_tarski(X48,k1_surreal0(X45))|~r1_surrealo(k11_surreal0,X48)))))|epred1_2(X46,X45)))&(r2_tarski(esk10_2(X45,X46),k2_surreal0(X45))|(~v2_surreal0(X52)|(esk8_2(X45,X46)!=X52|~r2_tarski(X52,k2_surreal0(X45))|~r1_surrealo(k11_surreal0,X52))|(v2_surreal0(esk7_2(X45,X46))|(~v2_surreal0(X48)|(esk5_2(X45,X46)!=X48|~r2_tarski(X48,k1_surreal0(X45))|~r1_surrealo(k11_surreal0,X48)))))|epred1_2(X46,X45)))&(r1_surrealo(k11_surreal0,esk10_2(X45,X46))|(~v2_surreal0(X52)|(esk8_2(X45,X46)!=X52|~r2_tarski(X52,k2_surreal0(X45))|~r1_surrealo(k11_surreal0,X52))|(v2_surreal0(esk7_2(X45,X46))|(~v2_surreal0(X48)|(esk5_2(X45,X46)!=X48|~r2_tarski(X48,k1_surreal0(X45))|~r1_surrealo(k11_surreal0,X48)))))|epred1_2(X46,X45)))&(~r2_hidden(esk9_2(X45,X46),k2_surreal0(X46))|(~v2_surreal0(X52)|(esk8_2(X45,X46)!=X52|~r2_tarski(X52,k2_surreal0(X45))|~r1_surrealo(k11_surreal0,X52))|(v2_surreal0(esk7_2(X45,X46))|(~v2_surreal0(X48)|(esk5_2(X45,X46)!=X48|~r2_tarski(X48,k1_surreal0(X45))|~r1_surrealo(k11_surreal0,X48)))))|epred1_2(X46,X45))))&((((((v2_surreal0(esk10_2(X45,X46))|(r2_hidden(esk8_2(X45,X46),k2_surreal0(X46))|(esk6_2(X45,X46)=esk7_2(X45,X46)|(~v2_surreal0(X48)|(esk5_2(X45,X46)!=X48|~r2_tarski(X48,k1_surreal0(X45))|~r1_surrealo(k11_surreal0,X48)))))|epred1_2(X46,X45))&(esk9_2(X45,X46)=esk10_2(X45,X46)|(r2_hidden(esk8_2(X45,X46),k2_surreal0(X46))|(esk6_2(X45,X46)=esk7_2(X45,X46)|(~v2_surreal0(X48)|(esk5_2(X45,X46)!=X48|~r2_tarski(X48,k1_surreal0(X45))|~r1_surrealo(k11_surreal0,X48)))))|epred1_2(X46,X45)))&(r2_tarski(esk10_2(X45,X46),k2_surreal0(X45))|(r2_hidden(esk8_2(X45,X46),k2_surreal0(X46))|(esk6_2(X45,X46)=esk7_2(X45,X46)|(~v2_surreal0(X48)|(esk5_2(X45,X46)!=X48|~r2_tarski(X48,k1_surreal0(X45))|~r1_surrealo(k11_surreal0,X48)))))|epred1_2(X46,X45)))&(r1_surrealo(k11_surreal0,esk10_2(X45,X46))|(r2_hidden(esk8_2(X45,X46),k2_surreal0(X46))|(esk6_2(X45,X46)=esk7_2(X45,X46)|(~v2_surreal0(X48)|(esk5_2(X45,X46)!=X48|~r2_tarski(X48,k1_surreal0(X45))|~r1_surrealo(k11_surreal0,X48)))))|epred1_2(X46,X45)))&(~r2_hidden(esk9_2(X45,X46),k2_surreal0(X46))|(r2_hidden(esk8_2(X45,X46),k2_surreal0(X46))|(esk6_2(X45,X46)=esk7_2(X45,X46)|(~v2_surreal0(X48)|(esk5_2(X45,X46)!=X48|~r2_tarski(X48,k1_surreal0(X45))|~r1_surrealo(k11_surreal0,X48)))))|epred1_2(X46,X45)))&(((((v2_surreal0(esk10_2(X45,X46))|(~v2_surreal0(X52)|(esk8_2(X45,X46)!=X52|~r2_tarski(X52,k2_surreal0(X45))|~r1_surrealo(k11_surreal0,X52))|(esk6_2(X45,X46)=esk7_2(X45,X46)|(~v2_surreal0(X48)|(esk5_2(X45,X46)!=X48|~r2_tarski(X48,k1_surreal0(X45))|~r1_surrealo(k11_surreal0,X48)))))|epred1_2(X46,X45))&(esk9_2(X45,X46)=esk10_2(X45,X46)|(~v2_surreal0(X52)|(esk8_2(X45,X46)!=X52|~r2_tarski(X52,k2_surreal0(X45))|~r1_surrealo(k11_surreal0,X52))|(esk6_2(X45,X46)=esk7_2(X45,X46)|(~v2_surreal0(X48)|(esk5_2(X45,X46)!=X48|~r2_tarski(X48,k1_surreal0(X45))|~r1_surrealo(k11_surreal0,X48)))))|epred1_2(X46,X45)))&(r2_tarski(esk10_2(X45,X46),k2_surreal0(X45))|(~v2_surreal0(X52)|(esk8_2(X45,X46)!=X52|~r2_tarski(X52,k2_surreal0(X45))|~r1_surrealo(k11_surreal0,X52))|(esk6_2(X45,X46)=esk7_2(X45,X46)|(~v2_surreal0(X48)|(esk5_2(X45,X46)!=X48|~r2_tarski(X48,k1_surreal0(X45))|~r1_surrealo(k11_surreal0,X48)))))|epred1_2(X46,X45)))&(r1_surrealo(k11_surreal0,esk10_2(X45,X46))|(~v2_surreal0(X52)|(esk8_2(X45,X46)!=X52|~r2_tarski(X52,k2_surreal0(X45))|~r1_surrealo(k11_surreal0,X52))|(esk6_2(X45,X46)=esk7_2(X45,X46)|(~v2_surreal0(X48)|(esk5_2(X45,X46)!=X48|~r2_tarski(X48,k1_surreal0(X45))|~r1_surrealo(k11_surreal0,X48)))))|epred1_2(X46,X45)))&(~r2_hidden(esk9_2(X45,X46),k2_surreal0(X46))|(~v2_surreal0(X52)|(esk8_2(X45,X46)!=X52|~r2_tarski(X52,k2_surreal0(X45))|~r1_surrealo(k11_surreal0,X52))|(esk6_2(X45,X46)=esk7_2(X45,X46)|(~v2_surreal0(X48)|(esk5_2(X45,X46)!=X48|~r2_tarski(X48,k1_surreal0(X45))|~r1_surrealo(k11_surreal0,X48)))))|epred1_2(X46,X45)))))&((((((v2_surreal0(esk10_2(X45,X46))|(r2_hidden(esk8_2(X45,X46),k2_surreal0(X46))|(r2_tarski(esk7_2(X45,X46),k1_surreal0(X45))|(~v2_surreal0(X48)|(esk5_2(X45,X46)!=X48|~r2_tarski(X48,k1_surreal0(X45))|~r1_surrealo(k11_surreal0,X48)))))|epred1_2(X46,X45))&(esk9_2(X45,X46)=esk10_2(X45,X46)|(r2_hidden(esk8_2(X45,X46),k2_surreal0(X46))|(r2_tarski(esk7_2(X45,X46),k1_surreal0(X45))|(~v2_surreal0(X48)|(esk5_2(X45,X46)!=X48|~r2_tarski(X48,k1_surreal0(X45))|~r1_surrealo(k11_surreal0,X48)))))|epred1_2(X46,X45)))&(r2_tarski(esk10_2(X45,X46),k2_surreal0(X45))|(r2_hidden(esk8_2(X45,X46),k2_surreal0(X46))|(r2_tarski(esk7_2(X45,X46),k1_surreal0(X45))|(~v2_surreal0(X48)|(esk5_2(X45,X46)!=X48|~r2_tarski(X48,k1_surreal0(X45))|~r1_surrealo(k11_surreal0,X48)))))|epred1_2(X46,X45)))&(r1_surrealo(k11_surreal0,esk10_2(X45,X46))|(r2_hidden(esk8_2(X45,X46),k2_surreal0(X46))|(r2_tarski(esk7_2(X45,X46),k1_surreal0(X45))|(~v2_surreal0(X48)|(esk5_2(X45,X46)!=X48|~r2_tarski(X48,k1_surreal0(X45))|~r1_surrealo(k11_surreal0,X48)))))|epred1_2(X46,X45)))&(~r2_hidden(esk9_2(X45,X46),k2_surreal0(X46))|(r2_hidden(esk8_2(X45,X46),k2_surreal0(X46))|(r2_tarski(esk7_2(X45,X46),k1_surreal0(X45))|(~v2_surreal0(X48)|(esk5_2(X45,X46)!=X48|~r2_tarski(X48,k1_surreal0(X45))|~r1_surrealo(k11_surreal0,X48)))))|epred1_2(X46,X45)))&(((((v2_surreal0(esk10_2(X45,X46))|(~v2_surreal0(X52)|(esk8_2(X45,X46)!=X52|~r2_tarski(X52,k2_surreal0(X45))|~r1_surrealo(k11_surreal0,X52))|(r2_tarski(esk7_2(X45,X46),k1_surreal0(X45))|(~v2_surreal0(X48)|(esk5_2(X45,X46)!=X48|~r2_tarski(X48,k1_surreal0(X45))|~r1_surrealo(k11_surreal0,X48)))))|epred1_2(X46,X45))&(esk9_2(X45,X46)=esk10_2(X45,X46)|(~v2_surreal0(X52)|(esk8_2(X45,X46)!=X52|~r2_tarski(X52,k2_surreal0(X45))|~r1_surrealo(k11_surreal0,X52))|(r2_tarski(esk7_2(X45,X46),k1_surreal0(X45))|(~v2_surreal0(X48)|(esk5_2(X45,X46)!=X48|~r2_tarski(X48,k1_surreal0(X45))|~r1_surrealo(k11_surreal0,X48)))))|epred1_2(X46,X45)))&(r2_tarski(esk10_2(X45,X46),k2_surreal0(X45))|(~v2_surreal0(X52)|(esk8_2(X45,X46)!=X52|~r2_tarski(X52,k2_surreal0(X45))|~r1_surrealo(k11_surreal0,X52))|(r2_tarski(esk7_2(X45,X46),k1_surreal0(X45))|(~v2_surreal0(X48)|(esk5_2(X45,X46)!=X48|~r2_tarski(X48,k1_surreal0(X45))|~r1_surrealo(k11_surreal0,X48)))))|epred1_2(X46,X45)))&(r1_surrealo(k11_surreal0,esk10_2(X45,X46))|(~v2_surreal0(X52)|(esk8_2(X45,X46)!=X52|~r2_tarski(X52,k2_surreal0(X45))|~r1_surrealo(k11_surreal0,X52))|(r2_tarski(esk7_2(X45,X46),k1_surreal0(X45))|(~v2_surreal0(X48)|(esk5_2(X45,X46)!=X48|~r2_tarski(X48,k1_surreal0(X45))|~r1_surrealo(k11_surreal0,X48)))))|epred1_2(X46,X45)))&(~r2_hidden(esk9_2(X45,X46),k2_surreal0(X46))|(~v2_surreal0(X52)|(esk8_2(X45,X46)!=X52|~r2_tarski(X52,k2_surreal0(X45))|~r1_surrealo(k11_surreal0,X52))|(r2_tarski(esk7_2(X45,X46),k1_surreal0(X45))|(~v2_surreal0(X48)|(esk5_2(X45,X46)!=X48|~r2_tarski(X48,k1_surreal0(X45))|~r1_surrealo(k11_surreal0,X48)))))|epred1_2(X46,X45)))))&((((((v2_surreal0(esk10_2(X45,X46))|(r2_hidden(esk8_2(X45,X46),k2_surreal0(X46))|(r1_surrealo(k11_surreal0,esk7_2(X45,X46))|(~v2_surreal0(X48)|(esk5_2(X45,X46)!=X48|~r2_tarski(X48,k1_surreal0(X45))|~r1_surrealo(k11_surreal0,X48)))))|epred1_2(X46,X45))&(esk9_2(X45,X46)=esk10_2(X45,X46)|(r2_hidden(esk8_2(X45,X46),k2_surreal0(X46))|(r1_surrealo(k11_surreal0,esk7_2(X45,X46))|(~v2_surreal0(X48)|(esk5_2(X45,X46)!=X48|~r2_tarski(X48,k1_surreal0(X45))|~r1_surrealo(k11_surreal0,X48)))))|epred1_2(X46,X45)))&(r2_tarski(esk10_2(X45,X46),k2_surreal0(X45))|(r2_hidden(esk8_2(X45,X46),k2_surreal0(X46))|(r1_surrealo(k11_surreal0,esk7_2(X45,X46))|(~v2_surreal0(X48)|(esk5_2(X45,X46)!=X48|~r2_tarski(X48,k1_surreal0(X45))|~r1_surrealo(k11_surreal0,X48)))))|epred1_2(X46,X45)))&(r1_surrealo(k11_surreal0,esk10_2(X45,X46))|(r2_hidden(esk8_2(X45,X46),k2_surreal0(X46))|(r1_surrealo(k11_surreal0,esk7_2(X45,X46))|(~v2_surreal0(X48)|(esk5_2(X45,X46)!=X48|~r2_tarski(X48,k1_surreal0(X45))|~r1_surrealo(k11_surreal0,X48)))))|epred1_2(X46,X45)))&(~r2_hidden(esk9_2(X45,X46),k2_surreal0(X46))|(r2_hidden(esk8_2(X45,X46),k2_surreal0(X46))|(r1_surrealo(k11_surreal0,esk7_2(X45,X46))|(~v2_surreal0(X48)|(esk5_2(X45,X46)!=X48|~r2_tarski(X48,k1_surreal0(X45))|~r1_surrealo(k11_surreal0,X48)))))|epred1_2(X46,X45)))&(((((v2_surreal0(esk10_2(X45,X46))|(~v2_surreal0(X52)|(esk8_2(X45,X46)!=X52|~r2_tarski(X52,k2_surreal0(X45))|~r1_surrealo(k11_surreal0,X52))|(r1_surrealo(k11_surreal0,esk7_2(X45,X46))|(~v2_surreal0(X48)|(esk5_2(X45,X46)!=X48|~r2_tarski(X48,k1_surreal0(X45))|~r1_surrealo(k11_surreal0,X48)))))|epred1_2(X46,X45))&(esk9_2(X45,X46)=esk10_2(X45,X46)|(~v2_surreal0(X52)|(esk8_2(X45,X46)!=X52|~r2_tarski(X52,k2_surreal0(X45))|~r1_surrealo(k11_surreal0,X52))|(r1_surrealo(k11_surreal0,esk7_2(X45,X46))|(~v2_surreal0(X48)|(esk5_2(X45,X46)!=X48|~r2_tarski(X48,k1_surreal0(X45))|~r1_surrealo(k11_surreal0,X48)))))|epred1_2(X46,X45)))&(r2_tarski(esk10_2(X45,X46),k2_surreal0(X45))|(~v2_surreal0(X52)|(esk8_2(X45,X46)!=X52|~r2_tarski(X52,k2_surreal0(X45))|~r1_surrealo(k11_surreal0,X52))|(r1_surrealo(k11_surreal0,esk7_2(X45,X46))|(~v2_surreal0(X48)|(esk5_2(X45,X46)!=X48|~r2_tarski(X48,k1_surreal0(X45))|~r1_surrealo(k11_surreal0,X48)))))|epred1_2(X46,X45)))&(r1_surrealo(k11_surreal0,esk10_2(X45,X46))|(~v2_surreal0(X52)|(esk8_2(X45,X46)!=X52|~r2_tarski(X52,k2_surreal0(X45))|~r1_surrealo(k11_surreal0,X52))|(r1_surrealo(k11_surreal0,esk7_2(X45,X46))|(~v2_surreal0(X48)|(esk5_2(X45,X46)!=X48|~r2_tarski(X48,k1_surreal0(X45))|~r1_surrealo(k11_surreal0,X48)))))|epred1_2(X46,X45)))&(~r2_hidden(esk9_2(X45,X46),k2_surreal0(X46))|(~v2_surreal0(X52)|(esk8_2(X45,X46)!=X52|~r2_tarski(X52,k2_surreal0(X45))|~r1_surrealo(k11_surreal0,X52))|(r1_surrealo(k11_surreal0,esk7_2(X45,X46))|(~v2_surreal0(X48)|(esk5_2(X45,X46)!=X48|~r2_tarski(X48,k1_surreal0(X45))|~r1_surrealo(k11_surreal0,X48)))))|epred1_2(X46,X45)))))&((((((v2_surreal0(esk10_2(X45,X46))|(r2_hidden(esk8_2(X45,X46),k2_surreal0(X46))|(~r2_hidden(esk6_2(X45,X46),k1_surreal0(X46))|(~v2_surreal0(X48)|(esk5_2(X45,X46)!=X48|~r2_tarski(X48,k1_surreal0(X45))|~r1_surrealo(k11_surreal0,X48)))))|epred1_2(X46,X45))&(esk9_2(X45,X46)=esk10_2(X45,X46)|(r2_hidden(esk8_2(X45,X46),k2_surreal0(X46))|(~r2_hidden(esk6_2(X45,X46),k1_surreal0(X46))|(~v2_surreal0(X48)|(esk5_2(X45,X46)!=X48|~r2_tarski(X48,k1_surreal0(X45))|~r1_surrealo(k11_surreal0,X48)))))|epred1_2(X46,X45)))&(r2_tarski(esk10_2(X45,X46),k2_surreal0(X45))|(r2_hidden(esk8_2(X45,X46),k2_surreal0(X46))|(~r2_hidden(esk6_2(X45,X46),k1_surreal0(X46))|(~v2_surreal0(X48)|(esk5_2(X45,X46)!=X48|~r2_tarski(X48,k1_surreal0(X45))|~r1_surrealo(k11_surreal0,X48)))))|epred1_2(X46,X45)))&(r1_surrealo(k11_surreal0,esk10_2(X45,X46))|(r2_hidden(esk8_2(X45,X46),k2_surreal0(X46))|(~r2_hidden(esk6_2(X45,X46),k1_surreal0(X46))|(~v2_surreal0(X48)|(esk5_2(X45,X46)!=X48|~r2_tarski(X48,k1_surreal0(X45))|~r1_surrealo(k11_surreal0,X48)))))|epred1_2(X46,X45)))&(~r2_hidden(esk9_2(X45,X46),k2_surreal0(X46))|(r2_hidden(esk8_2(X45,X46),k2_surreal0(X46))|(~r2_hidden(esk6_2(X45,X46),k1_surreal0(X46))|(~v2_surreal0(X48)|(esk5_2(X45,X46)!=X48|~r2_tarski(X48,k1_surreal0(X45))|~r1_surrealo(k11_surreal0,X48)))))|epred1_2(X46,X45)))&(((((v2_surreal0(esk10_2(X45,X46))|(~v2_surreal0(X52)|(esk8_2(X45,X46)!=X52|~r2_tarski(X52,k2_surreal0(X45))|~r1_surrealo(k11_surreal0,X52))|(~r2_hidden(esk6_2(X45,X46),k1_surreal0(X46))|(~v2_surreal0(X48)|(esk5_2(X45,X46)!=X48|~r2_tarski(X48,k1_surreal0(X45))|~r1_surrealo(k11_surreal0,X48)))))|epred1_2(X46,X45))&(esk9_2(X45,X46)=esk10_2(X45,X46)|(~v2_surreal0(X52)|(esk8_2(X45,X46)!=X52|~r2_tarski(X52,k2_surreal0(X45))|~r1_surrealo(k11_surreal0,X52))|(~r2_hidden(esk6_2(X45,X46),k1_surreal0(X46))|(~v2_surreal0(X48)|(esk5_2(X45,X46)!=X48|~r2_tarski(X48,k1_surreal0(X45))|~r1_surrealo(k11_surreal0,X48)))))|epred1_2(X46,X45)))&(r2_tarski(esk10_2(X45,X46),k2_surreal0(X45))|(~v2_surreal0(X52)|(esk8_2(X45,X46)!=X52|~r2_tarski(X52,k2_surreal0(X45))|~r1_surrealo(k11_surreal0,X52))|(~r2_hidden(esk6_2(X45,X46),k1_surreal0(X46))|(~v2_surreal0(X48)|(esk5_2(X45,X46)!=X48|~r2_tarski(X48,k1_surreal0(X45))|~r1_surrealo(k11_surreal0,X48)))))|epred1_2(X46,X45)))&(r1_surrealo(k11_surreal0,esk10_2(X45,X46))|(~v2_surreal0(X52)|(esk8_2(X45,X46)!=X52|~r2_tarski(X52,k2_surreal0(X45))|~r1_surrealo(k11_surreal0,X52))|(~r2_hidden(esk6_2(X45,X46),k1_surreal0(X46))|(~v2_surreal0(X48)|(esk5_2(X45,X46)!=X48|~r2_tarski(X48,k1_surreal0(X45))|~r1_surrealo(k11_surreal0,X48)))))|epred1_2(X46,X45)))&(~r2_hidden(esk9_2(X45,X46),k2_surreal0(X46))|(~v2_surreal0(X52)|(esk8_2(X45,X46)!=X52|~r2_tarski(X52,k2_surreal0(X45))|~r1_surrealo(k11_surreal0,X52))|(~r2_hidden(esk6_2(X45,X46),k1_surreal0(X46))|(~v2_surreal0(X48)|(esk5_2(X45,X46)!=X48|~r2_tarski(X48,k1_surreal0(X45))|~r1_surrealo(k11_surreal0,X48)))))|epred1_2(X46,X45))))))), 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, axiom, ![X1, X2]:(v1_xtuple_0(X2)=>(X2=k1_surreals(X1)<=>epred1_2(X2,X1))), inference(apply_def,[status(thm)],[d1_surreals, c_0_5])).
cnf(c_0_8, plain, (r2_tarski(esk3_3(X1,X2,X3),k1_surreal0(X1))|~r2_hidden(X3,k1_surreal0(X2))|~epred1_2(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_6])).
cnf(c_0_9, plain, (X1=esk3_3(X2,X3,X1)|~r2_hidden(X1,k1_surreal0(X3))|~epred1_2(X3,X2)), inference(split_conjunct,[status(thm)],[c_0_6])).
fof(c_0_10, plain, ![X24, X25, X26, X27, X28]:((~r1_tarski(X24,X25)|(~r2_hidden(X26,X24)|r2_hidden(X26,X25)))&((r2_hidden(esk2_2(X27,X28),X27)|r1_tarski(X27,X28))&(~r2_hidden(esk2_2(X27,X28),X28)|r1_tarski(X27,X28)))), 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, ![X22, X23]:((X23!=k1_surreals(X22)|epred1_2(X23,X22)|~v1_xtuple_0(X23))&(~epred1_2(X23,X22)|X23=k1_surreals(X22)|~v1_xtuple_0(X23))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])])).
fof(c_0_12, plain, ![X30]:v1_xtuple_0(k1_surreals(X30)), inference(variable_rename,[status(thm)],[dt_k1_surreals])).
cnf(c_0_13, plain, (r2_tarski(X1,k1_surreal0(X2))|~epred1_2(X3,X2)|~r2_hidden(X1,k1_surreal0(X3))), inference(spm,[status(thm)],[c_0_8, c_0_9])).
cnf(c_0_14, plain, (r2_hidden(esk2_2(X1,X2),X1)|r1_tarski(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_15, plain, (epred1_2(X1,X2)|X1!=k1_surreals(X2)|~v1_xtuple_0(X1)), inference(split_conjunct,[status(thm)],[c_0_11])).
cnf(c_0_16, plain, (v1_xtuple_0(k1_surreals(X1))), inference(split_conjunct,[status(thm)],[c_0_12])).
cnf(c_0_17, plain, (r2_tarski(esk4_3(X1,X2,X3),k2_surreal0(X1))|~r2_hidden(X3,k2_surreal0(X2))|~epred1_2(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_6])).
cnf(c_0_18, plain, (X1=esk4_3(X2,X3,X1)|~r2_hidden(X1,k2_surreal0(X3))|~epred1_2(X3,X2)), inference(split_conjunct,[status(thm)],[c_0_6])).
fof(c_0_19, plain, ![X33, X34]:((~r2_tarski(X33,X34)|r2_hidden(X33,X34))&(~r2_hidden(X33,X34)|r2_tarski(X33,X34))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_r2_tarski])])).
cnf(c_0_20, plain, (r2_tarski(esk2_2(k1_surreal0(X1),X2),k1_surreal0(X3))|r1_tarski(k1_surreal0(X1),X2)|~epred1_2(X1,X3)), inference(spm,[status(thm)],[c_0_13, c_0_14])).
cnf(c_0_21, plain, (epred1_2(k1_surreals(X1),X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_15]), c_0_16])])).
cnf(c_0_22, plain, (r2_tarski(X1,k2_surreal0(X2))|~epred1_2(X3,X2)|~r2_hidden(X1,k2_surreal0(X3))), inference(spm,[status(thm)],[c_0_17, c_0_18])).
fof(c_0_23, negated_conjecture, ~(![X1]:(r1_tarski(k1_surreal0(k1_surreals(X1)),k1_surreal0(X1))&r1_tarski(k2_surreal0(k1_surreals(X1)),k2_surreal0(X1)))), inference(assume_negation,[status(cth)],[t1_surreals])).
cnf(c_0_24, plain, (r2_hidden(X1,X2)|~r2_tarski(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_19])).
cnf(c_0_25, plain, (r2_tarski(esk2_2(k1_surreal0(k1_surreals(X1)),X2),k1_surreal0(X1))|r1_tarski(k1_surreal0(k1_surreals(X1)),X2)), inference(spm,[status(thm)],[c_0_20, c_0_21])).
cnf(c_0_26, plain, (r2_tarski(esk2_2(k2_surreal0(X1),X2),k2_surreal0(X3))|r1_tarski(k2_surreal0(X1),X2)|~epred1_2(X1,X3)), inference(spm,[status(thm)],[c_0_22, c_0_14])).
fof(c_0_27, negated_conjecture, (~r1_tarski(k1_surreal0(k1_surreals(esk1_0)),k1_surreal0(esk1_0))|~r1_tarski(k2_surreal0(k1_surreals(esk1_0)),k2_surreal0(esk1_0))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_23])])])).
cnf(c_0_28, plain, (r1_tarski(X1,X2)|~r2_hidden(esk2_2(X1,X2),X2)), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_29, plain, (r2_hidden(esk2_2(k1_surreal0(k1_surreals(X1)),X2),k1_surreal0(X1))|r1_tarski(k1_surreal0(k1_surreals(X1)),X2)), inference(spm,[status(thm)],[c_0_24, c_0_25])).
cnf(c_0_30, plain, (r2_tarski(esk2_2(k2_surreal0(k1_surreals(X1)),X2),k2_surreal0(X1))|r1_tarski(k2_surreal0(k1_surreals(X1)),X2)), inference(spm,[status(thm)],[c_0_26, c_0_21])).
cnf(c_0_31, negated_conjecture, (~r1_tarski(k1_surreal0(k1_surreals(esk1_0)),k1_surreal0(esk1_0))|~r1_tarski(k2_surreal0(k1_surreals(esk1_0)),k2_surreal0(esk1_0))), inference(split_conjunct,[status(thm)],[c_0_27])).
cnf(c_0_32, plain, (r1_tarski(k1_surreal0(k1_surreals(X1)),k1_surreal0(X1))), inference(spm,[status(thm)],[c_0_28, c_0_29])).
cnf(c_0_33, plain, (r2_hidden(esk2_2(k2_surreal0(k1_surreals(X1)),X2),k2_surreal0(X1))|r1_tarski(k2_surreal0(k1_surreals(X1)),X2)), inference(spm,[status(thm)],[c_0_24, c_0_30])).
cnf(c_0_34, negated_conjecture, (~r1_tarski(k2_surreal0(k1_surreals(esk1_0)),k2_surreal0(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_31, c_0_32])])).
cnf(c_0_35, plain, (r1_tarski(k2_surreal0(k1_surreals(X1)),k2_surreal0(X1))), inference(spm,[status(thm)],[c_0_28, c_0_33])).
cnf(c_0_36, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_34, c_0_35])]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 37
# Proof object clause steps            : 23
# Proof object formula steps           : 14
# Proof object conjectures             : 6
# Proof object clause conjectures      : 3
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 10
# Proof object initial formulas used   : 5
# Proof object generating inferences   : 10
# Proof object simplifying inferences  : 7
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 7
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 121
# Removed in clause preprocessing      : 2
# Initial clauses in saturation        : 119
# Processed clauses                    : 271
# ...of these trivial                  : 0
# ...subsumed                          : 4
# ...remaining for further processing  : 267
# Other redundant clauses eliminated   : 103
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 0
# Backward-rewritten                   : 2
# Generated clauses                    : 159
# ...of the previous two non-trivial   : 158
# Contextual simplify-reflections      : 0
# Paramodulations                      : 81
# Factorizations                       : 0
# NegExts                              : 0
# Equation resolutions                 : 103
# 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  : 68
#    Positive orientable unit clauses  : 5
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 0
#    Non-unit-clauses                  : 63
# Current number of unprocessed clauses: 125
# ...number of literals in the above   : 832
# Current number of archived formulas  : 0
# Current number of archived clauses   : 123
# Clause-clause subsumption calls (NU) : 11054
# Rec. Clause-clause subsumption calls : 1183
# Non-unit clause-clause subsumptions  : 4
# Unit Clause-clause subsumption calls : 47
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 6
# BW rewrite match successes           : 2
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 15638

# -------------------------------------------------
# User time                : 0.038 s
# System time              : 0.010 s
# Total time               : 0.048 s
# Maximum resident set size: 3652 pages
