# 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(redefinition_r2_tarski, axiom, ![X1, X2]:(r2_tarski(X1,X2)<=>r2_hidden(X1,X2)), file('surreals/surreals__t2_surreals', redefinition_r2_tarski)).
fof(t2_surreals, conjecture, ![X1, X2]:(v2_surreal0(X2)=>((((r2_tarski(X2,k1_surreal0(k1_surreals(X1)))=>(r2_tarski(X2,k1_surreal0(X1))&r1_surrealo(k11_surreal0,X2)))&((r2_tarski(X2,k1_surreal0(X1))&r1_surrealo(k11_surreal0,X2))=>r2_tarski(X2,k1_surreal0(k1_surreals(X1)))))&(r2_tarski(X2,k2_surreal0(k1_surreals(X1)))=>(r2_tarski(X2,k2_surreal0(X1))&r1_surrealo(k11_surreal0,X2))))&((r2_tarski(X2,k2_surreal0(X1))&r1_surrealo(k11_surreal0,X2))=>r2_tarski(X2,k2_surreal0(k1_surreals(X1)))))), file('surreals/surreals__t2_surreals', t2_surreals)).
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__t2_surreals', d1_surreals)).
fof(dt_k1_surreals, axiom, ![X1]:v1_xtuple_0(k1_surreals(X1)), file('surreals/surreals__t2_surreals', dt_k1_surreals)).
fof(c_0_4, 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_5, plain, ![X28, X29, X30, X32, X33, X34, X36, X37, X38, X39, X41, X45]:((((((v2_surreal0(esk3_3(X28,X29,X30))|~r2_hidden(X30,k1_surreal0(X29))|~epred1_2(X29,X28))&(((X30=esk3_3(X28,X29,X30)|~r2_hidden(X30,k1_surreal0(X29))|~epred1_2(X29,X28))&(r2_tarski(esk3_3(X28,X29,X30),k1_surreal0(X28))|~r2_hidden(X30,k1_surreal0(X29))|~epred1_2(X29,X28)))&(r1_surrealo(k11_surreal0,esk3_3(X28,X29,X30))|~r2_hidden(X30,k1_surreal0(X29))|~epred1_2(X29,X28))))&(~v2_surreal0(X33)|X32!=X33|~r2_tarski(X33,k1_surreal0(X28))|~r1_surrealo(k11_surreal0,X33)|r2_hidden(X32,k1_surreal0(X29))|~epred1_2(X29,X28)))&((v2_surreal0(esk4_3(X28,X29,X34))|~r2_hidden(X34,k2_surreal0(X29))|~epred1_2(X29,X28))&(((X34=esk4_3(X28,X29,X34)|~r2_hidden(X34,k2_surreal0(X29))|~epred1_2(X29,X28))&(r2_tarski(esk4_3(X28,X29,X34),k2_surreal0(X28))|~r2_hidden(X34,k2_surreal0(X29))|~epred1_2(X29,X28)))&(r1_surrealo(k11_surreal0,esk4_3(X28,X29,X34))|~r2_hidden(X34,k2_surreal0(X29))|~epred1_2(X29,X28)))))&(~v2_surreal0(X37)|X36!=X37|~r2_tarski(X37,k2_surreal0(X28))|~r1_surrealo(k11_surreal0,X37)|r2_hidden(X36,k2_surreal0(X29))|~epred1_2(X29,X28)))&(((((((((((v2_surreal0(esk10_2(X38,X39))|(r2_hidden(esk8_2(X38,X39),k2_surreal0(X39))|(v2_surreal0(esk7_2(X38,X39))|r2_hidden(esk5_2(X38,X39),k1_surreal0(X39))))|epred1_2(X39,X38))&(esk9_2(X38,X39)=esk10_2(X38,X39)|(r2_hidden(esk8_2(X38,X39),k2_surreal0(X39))|(v2_surreal0(esk7_2(X38,X39))|r2_hidden(esk5_2(X38,X39),k1_surreal0(X39))))|epred1_2(X39,X38)))&(r2_tarski(esk10_2(X38,X39),k2_surreal0(X38))|(r2_hidden(esk8_2(X38,X39),k2_surreal0(X39))|(v2_surreal0(esk7_2(X38,X39))|r2_hidden(esk5_2(X38,X39),k1_surreal0(X39))))|epred1_2(X39,X38)))&(r1_surrealo(k11_surreal0,esk10_2(X38,X39))|(r2_hidden(esk8_2(X38,X39),k2_surreal0(X39))|(v2_surreal0(esk7_2(X38,X39))|r2_hidden(esk5_2(X38,X39),k1_surreal0(X39))))|epred1_2(X39,X38)))&(~r2_hidden(esk9_2(X38,X39),k2_surreal0(X39))|(r2_hidden(esk8_2(X38,X39),k2_surreal0(X39))|(v2_surreal0(esk7_2(X38,X39))|r2_hidden(esk5_2(X38,X39),k1_surreal0(X39))))|epred1_2(X39,X38)))&(((((v2_surreal0(esk10_2(X38,X39))|(~v2_surreal0(X45)|(esk8_2(X38,X39)!=X45|~r2_tarski(X45,k2_surreal0(X38))|~r1_surrealo(k11_surreal0,X45))|(v2_surreal0(esk7_2(X38,X39))|r2_hidden(esk5_2(X38,X39),k1_surreal0(X39))))|epred1_2(X39,X38))&(esk9_2(X38,X39)=esk10_2(X38,X39)|(~v2_surreal0(X45)|(esk8_2(X38,X39)!=X45|~r2_tarski(X45,k2_surreal0(X38))|~r1_surrealo(k11_surreal0,X45))|(v2_surreal0(esk7_2(X38,X39))|r2_hidden(esk5_2(X38,X39),k1_surreal0(X39))))|epred1_2(X39,X38)))&(r2_tarski(esk10_2(X38,X39),k2_surreal0(X38))|(~v2_surreal0(X45)|(esk8_2(X38,X39)!=X45|~r2_tarski(X45,k2_surreal0(X38))|~r1_surrealo(k11_surreal0,X45))|(v2_surreal0(esk7_2(X38,X39))|r2_hidden(esk5_2(X38,X39),k1_surreal0(X39))))|epred1_2(X39,X38)))&(r1_surrealo(k11_surreal0,esk10_2(X38,X39))|(~v2_surreal0(X45)|(esk8_2(X38,X39)!=X45|~r2_tarski(X45,k2_surreal0(X38))|~r1_surrealo(k11_surreal0,X45))|(v2_surreal0(esk7_2(X38,X39))|r2_hidden(esk5_2(X38,X39),k1_surreal0(X39))))|epred1_2(X39,X38)))&(~r2_hidden(esk9_2(X38,X39),k2_surreal0(X39))|(~v2_surreal0(X45)|(esk8_2(X38,X39)!=X45|~r2_tarski(X45,k2_surreal0(X38))|~r1_surrealo(k11_surreal0,X45))|(v2_surreal0(esk7_2(X38,X39))|r2_hidden(esk5_2(X38,X39),k1_surreal0(X39))))|epred1_2(X39,X38))))&((((((v2_surreal0(esk10_2(X38,X39))|(r2_hidden(esk8_2(X38,X39),k2_surreal0(X39))|(esk6_2(X38,X39)=esk7_2(X38,X39)|r2_hidden(esk5_2(X38,X39),k1_surreal0(X39))))|epred1_2(X39,X38))&(esk9_2(X38,X39)=esk10_2(X38,X39)|(r2_hidden(esk8_2(X38,X39),k2_surreal0(X39))|(esk6_2(X38,X39)=esk7_2(X38,X39)|r2_hidden(esk5_2(X38,X39),k1_surreal0(X39))))|epred1_2(X39,X38)))&(r2_tarski(esk10_2(X38,X39),k2_surreal0(X38))|(r2_hidden(esk8_2(X38,X39),k2_surreal0(X39))|(esk6_2(X38,X39)=esk7_2(X38,X39)|r2_hidden(esk5_2(X38,X39),k1_surreal0(X39))))|epred1_2(X39,X38)))&(r1_surrealo(k11_surreal0,esk10_2(X38,X39))|(r2_hidden(esk8_2(X38,X39),k2_surreal0(X39))|(esk6_2(X38,X39)=esk7_2(X38,X39)|r2_hidden(esk5_2(X38,X39),k1_surreal0(X39))))|epred1_2(X39,X38)))&(~r2_hidden(esk9_2(X38,X39),k2_surreal0(X39))|(r2_hidden(esk8_2(X38,X39),k2_surreal0(X39))|(esk6_2(X38,X39)=esk7_2(X38,X39)|r2_hidden(esk5_2(X38,X39),k1_surreal0(X39))))|epred1_2(X39,X38)))&(((((v2_surreal0(esk10_2(X38,X39))|(~v2_surreal0(X45)|(esk8_2(X38,X39)!=X45|~r2_tarski(X45,k2_surreal0(X38))|~r1_surrealo(k11_surreal0,X45))|(esk6_2(X38,X39)=esk7_2(X38,X39)|r2_hidden(esk5_2(X38,X39),k1_surreal0(X39))))|epred1_2(X39,X38))&(esk9_2(X38,X39)=esk10_2(X38,X39)|(~v2_surreal0(X45)|(esk8_2(X38,X39)!=X45|~r2_tarski(X45,k2_surreal0(X38))|~r1_surrealo(k11_surreal0,X45))|(esk6_2(X38,X39)=esk7_2(X38,X39)|r2_hidden(esk5_2(X38,X39),k1_surreal0(X39))))|epred1_2(X39,X38)))&(r2_tarski(esk10_2(X38,X39),k2_surreal0(X38))|(~v2_surreal0(X45)|(esk8_2(X38,X39)!=X45|~r2_tarski(X45,k2_surreal0(X38))|~r1_surrealo(k11_surreal0,X45))|(esk6_2(X38,X39)=esk7_2(X38,X39)|r2_hidden(esk5_2(X38,X39),k1_surreal0(X39))))|epred1_2(X39,X38)))&(r1_surrealo(k11_surreal0,esk10_2(X38,X39))|(~v2_surreal0(X45)|(esk8_2(X38,X39)!=X45|~r2_tarski(X45,k2_surreal0(X38))|~r1_surrealo(k11_surreal0,X45))|(esk6_2(X38,X39)=esk7_2(X38,X39)|r2_hidden(esk5_2(X38,X39),k1_surreal0(X39))))|epred1_2(X39,X38)))&(~r2_hidden(esk9_2(X38,X39),k2_surreal0(X39))|(~v2_surreal0(X45)|(esk8_2(X38,X39)!=X45|~r2_tarski(X45,k2_surreal0(X38))|~r1_surrealo(k11_surreal0,X45))|(esk6_2(X38,X39)=esk7_2(X38,X39)|r2_hidden(esk5_2(X38,X39),k1_surreal0(X39))))|epred1_2(X39,X38)))))&((((((v2_surreal0(esk10_2(X38,X39))|(r2_hidden(esk8_2(X38,X39),k2_surreal0(X39))|(r2_tarski(esk7_2(X38,X39),k1_surreal0(X38))|r2_hidden(esk5_2(X38,X39),k1_surreal0(X39))))|epred1_2(X39,X38))&(esk9_2(X38,X39)=esk10_2(X38,X39)|(r2_hidden(esk8_2(X38,X39),k2_surreal0(X39))|(r2_tarski(esk7_2(X38,X39),k1_surreal0(X38))|r2_hidden(esk5_2(X38,X39),k1_surreal0(X39))))|epred1_2(X39,X38)))&(r2_tarski(esk10_2(X38,X39),k2_surreal0(X38))|(r2_hidden(esk8_2(X38,X39),k2_surreal0(X39))|(r2_tarski(esk7_2(X38,X39),k1_surreal0(X38))|r2_hidden(esk5_2(X38,X39),k1_surreal0(X39))))|epred1_2(X39,X38)))&(r1_surrealo(k11_surreal0,esk10_2(X38,X39))|(r2_hidden(esk8_2(X38,X39),k2_surreal0(X39))|(r2_tarski(esk7_2(X38,X39),k1_surreal0(X38))|r2_hidden(esk5_2(X38,X39),k1_surreal0(X39))))|epred1_2(X39,X38)))&(~r2_hidden(esk9_2(X38,X39),k2_surreal0(X39))|(r2_hidden(esk8_2(X38,X39),k2_surreal0(X39))|(r2_tarski(esk7_2(X38,X39),k1_surreal0(X38))|r2_hidden(esk5_2(X38,X39),k1_surreal0(X39))))|epred1_2(X39,X38)))&(((((v2_surreal0(esk10_2(X38,X39))|(~v2_surreal0(X45)|(esk8_2(X38,X39)!=X45|~r2_tarski(X45,k2_surreal0(X38))|~r1_surrealo(k11_surreal0,X45))|(r2_tarski(esk7_2(X38,X39),k1_surreal0(X38))|r2_hidden(esk5_2(X38,X39),k1_surreal0(X39))))|epred1_2(X39,X38))&(esk9_2(X38,X39)=esk10_2(X38,X39)|(~v2_surreal0(X45)|(esk8_2(X38,X39)!=X45|~r2_tarski(X45,k2_surreal0(X38))|~r1_surrealo(k11_surreal0,X45))|(r2_tarski(esk7_2(X38,X39),k1_surreal0(X38))|r2_hidden(esk5_2(X38,X39),k1_surreal0(X39))))|epred1_2(X39,X38)))&(r2_tarski(esk10_2(X38,X39),k2_surreal0(X38))|(~v2_surreal0(X45)|(esk8_2(X38,X39)!=X45|~r2_tarski(X45,k2_surreal0(X38))|~r1_surrealo(k11_surreal0,X45))|(r2_tarski(esk7_2(X38,X39),k1_surreal0(X38))|r2_hidden(esk5_2(X38,X39),k1_surreal0(X39))))|epred1_2(X39,X38)))&(r1_surrealo(k11_surreal0,esk10_2(X38,X39))|(~v2_surreal0(X45)|(esk8_2(X38,X39)!=X45|~r2_tarski(X45,k2_surreal0(X38))|~r1_surrealo(k11_surreal0,X45))|(r2_tarski(esk7_2(X38,X39),k1_surreal0(X38))|r2_hidden(esk5_2(X38,X39),k1_surreal0(X39))))|epred1_2(X39,X38)))&(~r2_hidden(esk9_2(X38,X39),k2_surreal0(X39))|(~v2_surreal0(X45)|(esk8_2(X38,X39)!=X45|~r2_tarski(X45,k2_surreal0(X38))|~r1_surrealo(k11_surreal0,X45))|(r2_tarski(esk7_2(X38,X39),k1_surreal0(X38))|r2_hidden(esk5_2(X38,X39),k1_surreal0(X39))))|epred1_2(X39,X38)))))&((((((v2_surreal0(esk10_2(X38,X39))|(r2_hidden(esk8_2(X38,X39),k2_surreal0(X39))|(r1_surrealo(k11_surreal0,esk7_2(X38,X39))|r2_hidden(esk5_2(X38,X39),k1_surreal0(X39))))|epred1_2(X39,X38))&(esk9_2(X38,X39)=esk10_2(X38,X39)|(r2_hidden(esk8_2(X38,X39),k2_surreal0(X39))|(r1_surrealo(k11_surreal0,esk7_2(X38,X39))|r2_hidden(esk5_2(X38,X39),k1_surreal0(X39))))|epred1_2(X39,X38)))&(r2_tarski(esk10_2(X38,X39),k2_surreal0(X38))|(r2_hidden(esk8_2(X38,X39),k2_surreal0(X39))|(r1_surrealo(k11_surreal0,esk7_2(X38,X39))|r2_hidden(esk5_2(X38,X39),k1_surreal0(X39))))|epred1_2(X39,X38)))&(r1_surrealo(k11_surreal0,esk10_2(X38,X39))|(r2_hidden(esk8_2(X38,X39),k2_surreal0(X39))|(r1_surrealo(k11_surreal0,esk7_2(X38,X39))|r2_hidden(esk5_2(X38,X39),k1_surreal0(X39))))|epred1_2(X39,X38)))&(~r2_hidden(esk9_2(X38,X39),k2_surreal0(X39))|(r2_hidden(esk8_2(X38,X39),k2_surreal0(X39))|(r1_surrealo(k11_surreal0,esk7_2(X38,X39))|r2_hidden(esk5_2(X38,X39),k1_surreal0(X39))))|epred1_2(X39,X38)))&(((((v2_surreal0(esk10_2(X38,X39))|(~v2_surreal0(X45)|(esk8_2(X38,X39)!=X45|~r2_tarski(X45,k2_surreal0(X38))|~r1_surrealo(k11_surreal0,X45))|(r1_surrealo(k11_surreal0,esk7_2(X38,X39))|r2_hidden(esk5_2(X38,X39),k1_surreal0(X39))))|epred1_2(X39,X38))&(esk9_2(X38,X39)=esk10_2(X38,X39)|(~v2_surreal0(X45)|(esk8_2(X38,X39)!=X45|~r2_tarski(X45,k2_surreal0(X38))|~r1_surrealo(k11_surreal0,X45))|(r1_surrealo(k11_surreal0,esk7_2(X38,X39))|r2_hidden(esk5_2(X38,X39),k1_surreal0(X39))))|epred1_2(X39,X38)))&(r2_tarski(esk10_2(X38,X39),k2_surreal0(X38))|(~v2_surreal0(X45)|(esk8_2(X38,X39)!=X45|~r2_tarski(X45,k2_surreal0(X38))|~r1_surrealo(k11_surreal0,X45))|(r1_surrealo(k11_surreal0,esk7_2(X38,X39))|r2_hidden(esk5_2(X38,X39),k1_surreal0(X39))))|epred1_2(X39,X38)))&(r1_surrealo(k11_surreal0,esk10_2(X38,X39))|(~v2_surreal0(X45)|(esk8_2(X38,X39)!=X45|~r2_tarski(X45,k2_surreal0(X38))|~r1_surrealo(k11_surreal0,X45))|(r1_surrealo(k11_surreal0,esk7_2(X38,X39))|r2_hidden(esk5_2(X38,X39),k1_surreal0(X39))))|epred1_2(X39,X38)))&(~r2_hidden(esk9_2(X38,X39),k2_surreal0(X39))|(~v2_surreal0(X45)|(esk8_2(X38,X39)!=X45|~r2_tarski(X45,k2_surreal0(X38))|~r1_surrealo(k11_surreal0,X45))|(r1_surrealo(k11_surreal0,esk7_2(X38,X39))|r2_hidden(esk5_2(X38,X39),k1_surreal0(X39))))|epred1_2(X39,X38)))))&((((((v2_surreal0(esk10_2(X38,X39))|(r2_hidden(esk8_2(X38,X39),k2_surreal0(X39))|(~r2_hidden(esk6_2(X38,X39),k1_surreal0(X39))|r2_hidden(esk5_2(X38,X39),k1_surreal0(X39))))|epred1_2(X39,X38))&(esk9_2(X38,X39)=esk10_2(X38,X39)|(r2_hidden(esk8_2(X38,X39),k2_surreal0(X39))|(~r2_hidden(esk6_2(X38,X39),k1_surreal0(X39))|r2_hidden(esk5_2(X38,X39),k1_surreal0(X39))))|epred1_2(X39,X38)))&(r2_tarski(esk10_2(X38,X39),k2_surreal0(X38))|(r2_hidden(esk8_2(X38,X39),k2_surreal0(X39))|(~r2_hidden(esk6_2(X38,X39),k1_surreal0(X39))|r2_hidden(esk5_2(X38,X39),k1_surreal0(X39))))|epred1_2(X39,X38)))&(r1_surrealo(k11_surreal0,esk10_2(X38,X39))|(r2_hidden(esk8_2(X38,X39),k2_surreal0(X39))|(~r2_hidden(esk6_2(X38,X39),k1_surreal0(X39))|r2_hidden(esk5_2(X38,X39),k1_surreal0(X39))))|epred1_2(X39,X38)))&(~r2_hidden(esk9_2(X38,X39),k2_surreal0(X39))|(r2_hidden(esk8_2(X38,X39),k2_surreal0(X39))|(~r2_hidden(esk6_2(X38,X39),k1_surreal0(X39))|r2_hidden(esk5_2(X38,X39),k1_surreal0(X39))))|epred1_2(X39,X38)))&(((((v2_surreal0(esk10_2(X38,X39))|(~v2_surreal0(X45)|(esk8_2(X38,X39)!=X45|~r2_tarski(X45,k2_surreal0(X38))|~r1_surrealo(k11_surreal0,X45))|(~r2_hidden(esk6_2(X38,X39),k1_surreal0(X39))|r2_hidden(esk5_2(X38,X39),k1_surreal0(X39))))|epred1_2(X39,X38))&(esk9_2(X38,X39)=esk10_2(X38,X39)|(~v2_surreal0(X45)|(esk8_2(X38,X39)!=X45|~r2_tarski(X45,k2_surreal0(X38))|~r1_surrealo(k11_surreal0,X45))|(~r2_hidden(esk6_2(X38,X39),k1_surreal0(X39))|r2_hidden(esk5_2(X38,X39),k1_surreal0(X39))))|epred1_2(X39,X38)))&(r2_tarski(esk10_2(X38,X39),k2_surreal0(X38))|(~v2_surreal0(X45)|(esk8_2(X38,X39)!=X45|~r2_tarski(X45,k2_surreal0(X38))|~r1_surrealo(k11_surreal0,X45))|(~r2_hidden(esk6_2(X38,X39),k1_surreal0(X39))|r2_hidden(esk5_2(X38,X39),k1_surreal0(X39))))|epred1_2(X39,X38)))&(r1_surrealo(k11_surreal0,esk10_2(X38,X39))|(~v2_surreal0(X45)|(esk8_2(X38,X39)!=X45|~r2_tarski(X45,k2_surreal0(X38))|~r1_surrealo(k11_surreal0,X45))|(~r2_hidden(esk6_2(X38,X39),k1_surreal0(X39))|r2_hidden(esk5_2(X38,X39),k1_surreal0(X39))))|epred1_2(X39,X38)))&(~r2_hidden(esk9_2(X38,X39),k2_surreal0(X39))|(~v2_surreal0(X45)|(esk8_2(X38,X39)!=X45|~r2_tarski(X45,k2_surreal0(X38))|~r1_surrealo(k11_surreal0,X45))|(~r2_hidden(esk6_2(X38,X39),k1_surreal0(X39))|r2_hidden(esk5_2(X38,X39),k1_surreal0(X39))))|epred1_2(X39,X38)))))&((((((((((v2_surreal0(esk10_2(X38,X39))|(r2_hidden(esk8_2(X38,X39),k2_surreal0(X39))|(v2_surreal0(esk7_2(X38,X39))|(~v2_surreal0(X41)|(esk5_2(X38,X39)!=X41|~r2_tarski(X41,k1_surreal0(X38))|~r1_surrealo(k11_surreal0,X41)))))|epred1_2(X39,X38))&(esk9_2(X38,X39)=esk10_2(X38,X39)|(r2_hidden(esk8_2(X38,X39),k2_surreal0(X39))|(v2_surreal0(esk7_2(X38,X39))|(~v2_surreal0(X41)|(esk5_2(X38,X39)!=X41|~r2_tarski(X41,k1_surreal0(X38))|~r1_surrealo(k11_surreal0,X41)))))|epred1_2(X39,X38)))&(r2_tarski(esk10_2(X38,X39),k2_surreal0(X38))|(r2_hidden(esk8_2(X38,X39),k2_surreal0(X39))|(v2_surreal0(esk7_2(X38,X39))|(~v2_surreal0(X41)|(esk5_2(X38,X39)!=X41|~r2_tarski(X41,k1_surreal0(X38))|~r1_surrealo(k11_surreal0,X41)))))|epred1_2(X39,X38)))&(r1_surrealo(k11_surreal0,esk10_2(X38,X39))|(r2_hidden(esk8_2(X38,X39),k2_surreal0(X39))|(v2_surreal0(esk7_2(X38,X39))|(~v2_surreal0(X41)|(esk5_2(X38,X39)!=X41|~r2_tarski(X41,k1_surreal0(X38))|~r1_surrealo(k11_surreal0,X41)))))|epred1_2(X39,X38)))&(~r2_hidden(esk9_2(X38,X39),k2_surreal0(X39))|(r2_hidden(esk8_2(X38,X39),k2_surreal0(X39))|(v2_surreal0(esk7_2(X38,X39))|(~v2_surreal0(X41)|(esk5_2(X38,X39)!=X41|~r2_tarski(X41,k1_surreal0(X38))|~r1_surrealo(k11_surreal0,X41)))))|epred1_2(X39,X38)))&(((((v2_surreal0(esk10_2(X38,X39))|(~v2_surreal0(X45)|(esk8_2(X38,X39)!=X45|~r2_tarski(X45,k2_surreal0(X38))|~r1_surrealo(k11_surreal0,X45))|(v2_surreal0(esk7_2(X38,X39))|(~v2_surreal0(X41)|(esk5_2(X38,X39)!=X41|~r2_tarski(X41,k1_surreal0(X38))|~r1_surrealo(k11_surreal0,X41)))))|epred1_2(X39,X38))&(esk9_2(X38,X39)=esk10_2(X38,X39)|(~v2_surreal0(X45)|(esk8_2(X38,X39)!=X45|~r2_tarski(X45,k2_surreal0(X38))|~r1_surrealo(k11_surreal0,X45))|(v2_surreal0(esk7_2(X38,X39))|(~v2_surreal0(X41)|(esk5_2(X38,X39)!=X41|~r2_tarski(X41,k1_surreal0(X38))|~r1_surrealo(k11_surreal0,X41)))))|epred1_2(X39,X38)))&(r2_tarski(esk10_2(X38,X39),k2_surreal0(X38))|(~v2_surreal0(X45)|(esk8_2(X38,X39)!=X45|~r2_tarski(X45,k2_surreal0(X38))|~r1_surrealo(k11_surreal0,X45))|(v2_surreal0(esk7_2(X38,X39))|(~v2_surreal0(X41)|(esk5_2(X38,X39)!=X41|~r2_tarski(X41,k1_surreal0(X38))|~r1_surrealo(k11_surreal0,X41)))))|epred1_2(X39,X38)))&(r1_surrealo(k11_surreal0,esk10_2(X38,X39))|(~v2_surreal0(X45)|(esk8_2(X38,X39)!=X45|~r2_tarski(X45,k2_surreal0(X38))|~r1_surrealo(k11_surreal0,X45))|(v2_surreal0(esk7_2(X38,X39))|(~v2_surreal0(X41)|(esk5_2(X38,X39)!=X41|~r2_tarski(X41,k1_surreal0(X38))|~r1_surrealo(k11_surreal0,X41)))))|epred1_2(X39,X38)))&(~r2_hidden(esk9_2(X38,X39),k2_surreal0(X39))|(~v2_surreal0(X45)|(esk8_2(X38,X39)!=X45|~r2_tarski(X45,k2_surreal0(X38))|~r1_surrealo(k11_surreal0,X45))|(v2_surreal0(esk7_2(X38,X39))|(~v2_surreal0(X41)|(esk5_2(X38,X39)!=X41|~r2_tarski(X41,k1_surreal0(X38))|~r1_surrealo(k11_surreal0,X41)))))|epred1_2(X39,X38))))&((((((v2_surreal0(esk10_2(X38,X39))|(r2_hidden(esk8_2(X38,X39),k2_surreal0(X39))|(esk6_2(X38,X39)=esk7_2(X38,X39)|(~v2_surreal0(X41)|(esk5_2(X38,X39)!=X41|~r2_tarski(X41,k1_surreal0(X38))|~r1_surrealo(k11_surreal0,X41)))))|epred1_2(X39,X38))&(esk9_2(X38,X39)=esk10_2(X38,X39)|(r2_hidden(esk8_2(X38,X39),k2_surreal0(X39))|(esk6_2(X38,X39)=esk7_2(X38,X39)|(~v2_surreal0(X41)|(esk5_2(X38,X39)!=X41|~r2_tarski(X41,k1_surreal0(X38))|~r1_surrealo(k11_surreal0,X41)))))|epred1_2(X39,X38)))&(r2_tarski(esk10_2(X38,X39),k2_surreal0(X38))|(r2_hidden(esk8_2(X38,X39),k2_surreal0(X39))|(esk6_2(X38,X39)=esk7_2(X38,X39)|(~v2_surreal0(X41)|(esk5_2(X38,X39)!=X41|~r2_tarski(X41,k1_surreal0(X38))|~r1_surrealo(k11_surreal0,X41)))))|epred1_2(X39,X38)))&(r1_surrealo(k11_surreal0,esk10_2(X38,X39))|(r2_hidden(esk8_2(X38,X39),k2_surreal0(X39))|(esk6_2(X38,X39)=esk7_2(X38,X39)|(~v2_surreal0(X41)|(esk5_2(X38,X39)!=X41|~r2_tarski(X41,k1_surreal0(X38))|~r1_surrealo(k11_surreal0,X41)))))|epred1_2(X39,X38)))&(~r2_hidden(esk9_2(X38,X39),k2_surreal0(X39))|(r2_hidden(esk8_2(X38,X39),k2_surreal0(X39))|(esk6_2(X38,X39)=esk7_2(X38,X39)|(~v2_surreal0(X41)|(esk5_2(X38,X39)!=X41|~r2_tarski(X41,k1_surreal0(X38))|~r1_surrealo(k11_surreal0,X41)))))|epred1_2(X39,X38)))&(((((v2_surreal0(esk10_2(X38,X39))|(~v2_surreal0(X45)|(esk8_2(X38,X39)!=X45|~r2_tarski(X45,k2_surreal0(X38))|~r1_surrealo(k11_surreal0,X45))|(esk6_2(X38,X39)=esk7_2(X38,X39)|(~v2_surreal0(X41)|(esk5_2(X38,X39)!=X41|~r2_tarski(X41,k1_surreal0(X38))|~r1_surrealo(k11_surreal0,X41)))))|epred1_2(X39,X38))&(esk9_2(X38,X39)=esk10_2(X38,X39)|(~v2_surreal0(X45)|(esk8_2(X38,X39)!=X45|~r2_tarski(X45,k2_surreal0(X38))|~r1_surrealo(k11_surreal0,X45))|(esk6_2(X38,X39)=esk7_2(X38,X39)|(~v2_surreal0(X41)|(esk5_2(X38,X39)!=X41|~r2_tarski(X41,k1_surreal0(X38))|~r1_surrealo(k11_surreal0,X41)))))|epred1_2(X39,X38)))&(r2_tarski(esk10_2(X38,X39),k2_surreal0(X38))|(~v2_surreal0(X45)|(esk8_2(X38,X39)!=X45|~r2_tarski(X45,k2_surreal0(X38))|~r1_surrealo(k11_surreal0,X45))|(esk6_2(X38,X39)=esk7_2(X38,X39)|(~v2_surreal0(X41)|(esk5_2(X38,X39)!=X41|~r2_tarski(X41,k1_surreal0(X38))|~r1_surrealo(k11_surreal0,X41)))))|epred1_2(X39,X38)))&(r1_surrealo(k11_surreal0,esk10_2(X38,X39))|(~v2_surreal0(X45)|(esk8_2(X38,X39)!=X45|~r2_tarski(X45,k2_surreal0(X38))|~r1_surrealo(k11_surreal0,X45))|(esk6_2(X38,X39)=esk7_2(X38,X39)|(~v2_surreal0(X41)|(esk5_2(X38,X39)!=X41|~r2_tarski(X41,k1_surreal0(X38))|~r1_surrealo(k11_surreal0,X41)))))|epred1_2(X39,X38)))&(~r2_hidden(esk9_2(X38,X39),k2_surreal0(X39))|(~v2_surreal0(X45)|(esk8_2(X38,X39)!=X45|~r2_tarski(X45,k2_surreal0(X38))|~r1_surrealo(k11_surreal0,X45))|(esk6_2(X38,X39)=esk7_2(X38,X39)|(~v2_surreal0(X41)|(esk5_2(X38,X39)!=X41|~r2_tarski(X41,k1_surreal0(X38))|~r1_surrealo(k11_surreal0,X41)))))|epred1_2(X39,X38)))))&((((((v2_surreal0(esk10_2(X38,X39))|(r2_hidden(esk8_2(X38,X39),k2_surreal0(X39))|(r2_tarski(esk7_2(X38,X39),k1_surreal0(X38))|(~v2_surreal0(X41)|(esk5_2(X38,X39)!=X41|~r2_tarski(X41,k1_surreal0(X38))|~r1_surrealo(k11_surreal0,X41)))))|epred1_2(X39,X38))&(esk9_2(X38,X39)=esk10_2(X38,X39)|(r2_hidden(esk8_2(X38,X39),k2_surreal0(X39))|(r2_tarski(esk7_2(X38,X39),k1_surreal0(X38))|(~v2_surreal0(X41)|(esk5_2(X38,X39)!=X41|~r2_tarski(X41,k1_surreal0(X38))|~r1_surrealo(k11_surreal0,X41)))))|epred1_2(X39,X38)))&(r2_tarski(esk10_2(X38,X39),k2_surreal0(X38))|(r2_hidden(esk8_2(X38,X39),k2_surreal0(X39))|(r2_tarski(esk7_2(X38,X39),k1_surreal0(X38))|(~v2_surreal0(X41)|(esk5_2(X38,X39)!=X41|~r2_tarski(X41,k1_surreal0(X38))|~r1_surrealo(k11_surreal0,X41)))))|epred1_2(X39,X38)))&(r1_surrealo(k11_surreal0,esk10_2(X38,X39))|(r2_hidden(esk8_2(X38,X39),k2_surreal0(X39))|(r2_tarski(esk7_2(X38,X39),k1_surreal0(X38))|(~v2_surreal0(X41)|(esk5_2(X38,X39)!=X41|~r2_tarski(X41,k1_surreal0(X38))|~r1_surrealo(k11_surreal0,X41)))))|epred1_2(X39,X38)))&(~r2_hidden(esk9_2(X38,X39),k2_surreal0(X39))|(r2_hidden(esk8_2(X38,X39),k2_surreal0(X39))|(r2_tarski(esk7_2(X38,X39),k1_surreal0(X38))|(~v2_surreal0(X41)|(esk5_2(X38,X39)!=X41|~r2_tarski(X41,k1_surreal0(X38))|~r1_surrealo(k11_surreal0,X41)))))|epred1_2(X39,X38)))&(((((v2_surreal0(esk10_2(X38,X39))|(~v2_surreal0(X45)|(esk8_2(X38,X39)!=X45|~r2_tarski(X45,k2_surreal0(X38))|~r1_surrealo(k11_surreal0,X45))|(r2_tarski(esk7_2(X38,X39),k1_surreal0(X38))|(~v2_surreal0(X41)|(esk5_2(X38,X39)!=X41|~r2_tarski(X41,k1_surreal0(X38))|~r1_surrealo(k11_surreal0,X41)))))|epred1_2(X39,X38))&(esk9_2(X38,X39)=esk10_2(X38,X39)|(~v2_surreal0(X45)|(esk8_2(X38,X39)!=X45|~r2_tarski(X45,k2_surreal0(X38))|~r1_surrealo(k11_surreal0,X45))|(r2_tarski(esk7_2(X38,X39),k1_surreal0(X38))|(~v2_surreal0(X41)|(esk5_2(X38,X39)!=X41|~r2_tarski(X41,k1_surreal0(X38))|~r1_surrealo(k11_surreal0,X41)))))|epred1_2(X39,X38)))&(r2_tarski(esk10_2(X38,X39),k2_surreal0(X38))|(~v2_surreal0(X45)|(esk8_2(X38,X39)!=X45|~r2_tarski(X45,k2_surreal0(X38))|~r1_surrealo(k11_surreal0,X45))|(r2_tarski(esk7_2(X38,X39),k1_surreal0(X38))|(~v2_surreal0(X41)|(esk5_2(X38,X39)!=X41|~r2_tarski(X41,k1_surreal0(X38))|~r1_surrealo(k11_surreal0,X41)))))|epred1_2(X39,X38)))&(r1_surrealo(k11_surreal0,esk10_2(X38,X39))|(~v2_surreal0(X45)|(esk8_2(X38,X39)!=X45|~r2_tarski(X45,k2_surreal0(X38))|~r1_surrealo(k11_surreal0,X45))|(r2_tarski(esk7_2(X38,X39),k1_surreal0(X38))|(~v2_surreal0(X41)|(esk5_2(X38,X39)!=X41|~r2_tarski(X41,k1_surreal0(X38))|~r1_surrealo(k11_surreal0,X41)))))|epred1_2(X39,X38)))&(~r2_hidden(esk9_2(X38,X39),k2_surreal0(X39))|(~v2_surreal0(X45)|(esk8_2(X38,X39)!=X45|~r2_tarski(X45,k2_surreal0(X38))|~r1_surrealo(k11_surreal0,X45))|(r2_tarski(esk7_2(X38,X39),k1_surreal0(X38))|(~v2_surreal0(X41)|(esk5_2(X38,X39)!=X41|~r2_tarski(X41,k1_surreal0(X38))|~r1_surrealo(k11_surreal0,X41)))))|epred1_2(X39,X38)))))&((((((v2_surreal0(esk10_2(X38,X39))|(r2_hidden(esk8_2(X38,X39),k2_surreal0(X39))|(r1_surrealo(k11_surreal0,esk7_2(X38,X39))|(~v2_surreal0(X41)|(esk5_2(X38,X39)!=X41|~r2_tarski(X41,k1_surreal0(X38))|~r1_surrealo(k11_surreal0,X41)))))|epred1_2(X39,X38))&(esk9_2(X38,X39)=esk10_2(X38,X39)|(r2_hidden(esk8_2(X38,X39),k2_surreal0(X39))|(r1_surrealo(k11_surreal0,esk7_2(X38,X39))|(~v2_surreal0(X41)|(esk5_2(X38,X39)!=X41|~r2_tarski(X41,k1_surreal0(X38))|~r1_surrealo(k11_surreal0,X41)))))|epred1_2(X39,X38)))&(r2_tarski(esk10_2(X38,X39),k2_surreal0(X38))|(r2_hidden(esk8_2(X38,X39),k2_surreal0(X39))|(r1_surrealo(k11_surreal0,esk7_2(X38,X39))|(~v2_surreal0(X41)|(esk5_2(X38,X39)!=X41|~r2_tarski(X41,k1_surreal0(X38))|~r1_surrealo(k11_surreal0,X41)))))|epred1_2(X39,X38)))&(r1_surrealo(k11_surreal0,esk10_2(X38,X39))|(r2_hidden(esk8_2(X38,X39),k2_surreal0(X39))|(r1_surrealo(k11_surreal0,esk7_2(X38,X39))|(~v2_surreal0(X41)|(esk5_2(X38,X39)!=X41|~r2_tarski(X41,k1_surreal0(X38))|~r1_surrealo(k11_surreal0,X41)))))|epred1_2(X39,X38)))&(~r2_hidden(esk9_2(X38,X39),k2_surreal0(X39))|(r2_hidden(esk8_2(X38,X39),k2_surreal0(X39))|(r1_surrealo(k11_surreal0,esk7_2(X38,X39))|(~v2_surreal0(X41)|(esk5_2(X38,X39)!=X41|~r2_tarski(X41,k1_surreal0(X38))|~r1_surrealo(k11_surreal0,X41)))))|epred1_2(X39,X38)))&(((((v2_surreal0(esk10_2(X38,X39))|(~v2_surreal0(X45)|(esk8_2(X38,X39)!=X45|~r2_tarski(X45,k2_surreal0(X38))|~r1_surrealo(k11_surreal0,X45))|(r1_surrealo(k11_surreal0,esk7_2(X38,X39))|(~v2_surreal0(X41)|(esk5_2(X38,X39)!=X41|~r2_tarski(X41,k1_surreal0(X38))|~r1_surrealo(k11_surreal0,X41)))))|epred1_2(X39,X38))&(esk9_2(X38,X39)=esk10_2(X38,X39)|(~v2_surreal0(X45)|(esk8_2(X38,X39)!=X45|~r2_tarski(X45,k2_surreal0(X38))|~r1_surrealo(k11_surreal0,X45))|(r1_surrealo(k11_surreal0,esk7_2(X38,X39))|(~v2_surreal0(X41)|(esk5_2(X38,X39)!=X41|~r2_tarski(X41,k1_surreal0(X38))|~r1_surrealo(k11_surreal0,X41)))))|epred1_2(X39,X38)))&(r2_tarski(esk10_2(X38,X39),k2_surreal0(X38))|(~v2_surreal0(X45)|(esk8_2(X38,X39)!=X45|~r2_tarski(X45,k2_surreal0(X38))|~r1_surrealo(k11_surreal0,X45))|(r1_surrealo(k11_surreal0,esk7_2(X38,X39))|(~v2_surreal0(X41)|(esk5_2(X38,X39)!=X41|~r2_tarski(X41,k1_surreal0(X38))|~r1_surrealo(k11_surreal0,X41)))))|epred1_2(X39,X38)))&(r1_surrealo(k11_surreal0,esk10_2(X38,X39))|(~v2_surreal0(X45)|(esk8_2(X38,X39)!=X45|~r2_tarski(X45,k2_surreal0(X38))|~r1_surrealo(k11_surreal0,X45))|(r1_surrealo(k11_surreal0,esk7_2(X38,X39))|(~v2_surreal0(X41)|(esk5_2(X38,X39)!=X41|~r2_tarski(X41,k1_surreal0(X38))|~r1_surrealo(k11_surreal0,X41)))))|epred1_2(X39,X38)))&(~r2_hidden(esk9_2(X38,X39),k2_surreal0(X39))|(~v2_surreal0(X45)|(esk8_2(X38,X39)!=X45|~r2_tarski(X45,k2_surreal0(X38))|~r1_surrealo(k11_surreal0,X45))|(r1_surrealo(k11_surreal0,esk7_2(X38,X39))|(~v2_surreal0(X41)|(esk5_2(X38,X39)!=X41|~r2_tarski(X41,k1_surreal0(X38))|~r1_surrealo(k11_surreal0,X41)))))|epred1_2(X39,X38)))))&((((((v2_surreal0(esk10_2(X38,X39))|(r2_hidden(esk8_2(X38,X39),k2_surreal0(X39))|(~r2_hidden(esk6_2(X38,X39),k1_surreal0(X39))|(~v2_surreal0(X41)|(esk5_2(X38,X39)!=X41|~r2_tarski(X41,k1_surreal0(X38))|~r1_surrealo(k11_surreal0,X41)))))|epred1_2(X39,X38))&(esk9_2(X38,X39)=esk10_2(X38,X39)|(r2_hidden(esk8_2(X38,X39),k2_surreal0(X39))|(~r2_hidden(esk6_2(X38,X39),k1_surreal0(X39))|(~v2_surreal0(X41)|(esk5_2(X38,X39)!=X41|~r2_tarski(X41,k1_surreal0(X38))|~r1_surrealo(k11_surreal0,X41)))))|epred1_2(X39,X38)))&(r2_tarski(esk10_2(X38,X39),k2_surreal0(X38))|(r2_hidden(esk8_2(X38,X39),k2_surreal0(X39))|(~r2_hidden(esk6_2(X38,X39),k1_surreal0(X39))|(~v2_surreal0(X41)|(esk5_2(X38,X39)!=X41|~r2_tarski(X41,k1_surreal0(X38))|~r1_surrealo(k11_surreal0,X41)))))|epred1_2(X39,X38)))&(r1_surrealo(k11_surreal0,esk10_2(X38,X39))|(r2_hidden(esk8_2(X38,X39),k2_surreal0(X39))|(~r2_hidden(esk6_2(X38,X39),k1_surreal0(X39))|(~v2_surreal0(X41)|(esk5_2(X38,X39)!=X41|~r2_tarski(X41,k1_surreal0(X38))|~r1_surrealo(k11_surreal0,X41)))))|epred1_2(X39,X38)))&(~r2_hidden(esk9_2(X38,X39),k2_surreal0(X39))|(r2_hidden(esk8_2(X38,X39),k2_surreal0(X39))|(~r2_hidden(esk6_2(X38,X39),k1_surreal0(X39))|(~v2_surreal0(X41)|(esk5_2(X38,X39)!=X41|~r2_tarski(X41,k1_surreal0(X38))|~r1_surrealo(k11_surreal0,X41)))))|epred1_2(X39,X38)))&(((((v2_surreal0(esk10_2(X38,X39))|(~v2_surreal0(X45)|(esk8_2(X38,X39)!=X45|~r2_tarski(X45,k2_surreal0(X38))|~r1_surrealo(k11_surreal0,X45))|(~r2_hidden(esk6_2(X38,X39),k1_surreal0(X39))|(~v2_surreal0(X41)|(esk5_2(X38,X39)!=X41|~r2_tarski(X41,k1_surreal0(X38))|~r1_surrealo(k11_surreal0,X41)))))|epred1_2(X39,X38))&(esk9_2(X38,X39)=esk10_2(X38,X39)|(~v2_surreal0(X45)|(esk8_2(X38,X39)!=X45|~r2_tarski(X45,k2_surreal0(X38))|~r1_surrealo(k11_surreal0,X45))|(~r2_hidden(esk6_2(X38,X39),k1_surreal0(X39))|(~v2_surreal0(X41)|(esk5_2(X38,X39)!=X41|~r2_tarski(X41,k1_surreal0(X38))|~r1_surrealo(k11_surreal0,X41)))))|epred1_2(X39,X38)))&(r2_tarski(esk10_2(X38,X39),k2_surreal0(X38))|(~v2_surreal0(X45)|(esk8_2(X38,X39)!=X45|~r2_tarski(X45,k2_surreal0(X38))|~r1_surrealo(k11_surreal0,X45))|(~r2_hidden(esk6_2(X38,X39),k1_surreal0(X39))|(~v2_surreal0(X41)|(esk5_2(X38,X39)!=X41|~r2_tarski(X41,k1_surreal0(X38))|~r1_surrealo(k11_surreal0,X41)))))|epred1_2(X39,X38)))&(r1_surrealo(k11_surreal0,esk10_2(X38,X39))|(~v2_surreal0(X45)|(esk8_2(X38,X39)!=X45|~r2_tarski(X45,k2_surreal0(X38))|~r1_surrealo(k11_surreal0,X45))|(~r2_hidden(esk6_2(X38,X39),k1_surreal0(X39))|(~v2_surreal0(X41)|(esk5_2(X38,X39)!=X41|~r2_tarski(X41,k1_surreal0(X38))|~r1_surrealo(k11_surreal0,X41)))))|epred1_2(X39,X38)))&(~r2_hidden(esk9_2(X38,X39),k2_surreal0(X39))|(~v2_surreal0(X45)|(esk8_2(X38,X39)!=X45|~r2_tarski(X45,k2_surreal0(X38))|~r1_surrealo(k11_surreal0,X45))|(~r2_hidden(esk6_2(X38,X39),k1_surreal0(X39))|(~v2_surreal0(X41)|(esk5_2(X38,X39)!=X41|~r2_tarski(X41,k1_surreal0(X38))|~r1_surrealo(k11_surreal0,X41)))))|epred1_2(X39,X38))))))), 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_4])])])])])])).
cnf(c_0_6, 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_5])).
cnf(c_0_7, plain, (X1=esk4_3(X2,X3,X1)|~r2_hidden(X1,k2_surreal0(X3))|~epred1_2(X3,X2)), inference(split_conjunct,[status(thm)],[c_0_5])).
fof(c_0_8, plain, ![X26, X27]:((~r2_tarski(X26,X27)|r2_hidden(X26,X27))&(~r2_hidden(X26,X27)|r2_tarski(X26,X27))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_r2_tarski])])).
fof(c_0_9, negated_conjecture, ~(![X1, X2]:(v2_surreal0(X2)=>((((r2_tarski(X2,k1_surreal0(k1_surreals(X1)))=>(r2_tarski(X2,k1_surreal0(X1))&r1_surrealo(k11_surreal0,X2)))&((r2_tarski(X2,k1_surreal0(X1))&r1_surrealo(k11_surreal0,X2))=>r2_tarski(X2,k1_surreal0(k1_surreals(X1)))))&(r2_tarski(X2,k2_surreal0(k1_surreals(X1)))=>(r2_tarski(X2,k2_surreal0(X1))&r1_surrealo(k11_surreal0,X2))))&((r2_tarski(X2,k2_surreal0(X1))&r1_surrealo(k11_surreal0,X2))=>r2_tarski(X2,k2_surreal0(k1_surreals(X1))))))), inference(assume_negation,[status(cth)],[t2_surreals])).
fof(c_0_10, axiom, ![X1, X2]:(v1_xtuple_0(X2)=>(X2=k1_surreals(X1)<=>epred1_2(X2,X1))), inference(apply_def,[status(thm)],[d1_surreals, c_0_4])).
cnf(c_0_11, plain, (r2_tarski(X1,k2_surreal0(X2))|~epred1_2(X3,X2)|~r2_hidden(X1,k2_surreal0(X3))), inference(spm,[status(thm)],[c_0_6, c_0_7])).
cnf(c_0_12, plain, (r2_hidden(X1,X2)|~r2_tarski(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_8])).
fof(c_0_13, negated_conjecture, (v2_surreal0(esk2_0)&(((((((r2_tarski(esk2_0,k2_surreal0(esk1_0))|(r2_tarski(esk2_0,k2_surreal0(k1_surreals(esk1_0)))|(r2_tarski(esk2_0,k1_surreal0(esk1_0))|r2_tarski(esk2_0,k1_surreal0(k1_surreals(esk1_0))))))&(r1_surrealo(k11_surreal0,esk2_0)|(r2_tarski(esk2_0,k2_surreal0(k1_surreals(esk1_0)))|(r2_tarski(esk2_0,k1_surreal0(esk1_0))|r2_tarski(esk2_0,k1_surreal0(k1_surreals(esk1_0)))))))&(~r2_tarski(esk2_0,k2_surreal0(k1_surreals(esk1_0)))|(r2_tarski(esk2_0,k2_surreal0(k1_surreals(esk1_0)))|(r2_tarski(esk2_0,k1_surreal0(esk1_0))|r2_tarski(esk2_0,k1_surreal0(k1_surreals(esk1_0)))))))&(((r2_tarski(esk2_0,k2_surreal0(esk1_0))|(~r2_tarski(esk2_0,k2_surreal0(esk1_0))|~r1_surrealo(k11_surreal0,esk2_0)|(r2_tarski(esk2_0,k1_surreal0(esk1_0))|r2_tarski(esk2_0,k1_surreal0(k1_surreals(esk1_0))))))&(r1_surrealo(k11_surreal0,esk2_0)|(~r2_tarski(esk2_0,k2_surreal0(esk1_0))|~r1_surrealo(k11_surreal0,esk2_0)|(r2_tarski(esk2_0,k1_surreal0(esk1_0))|r2_tarski(esk2_0,k1_surreal0(k1_surreals(esk1_0)))))))&(~r2_tarski(esk2_0,k2_surreal0(k1_surreals(esk1_0)))|(~r2_tarski(esk2_0,k2_surreal0(esk1_0))|~r1_surrealo(k11_surreal0,esk2_0)|(r2_tarski(esk2_0,k1_surreal0(esk1_0))|r2_tarski(esk2_0,k1_surreal0(k1_surreals(esk1_0))))))))&((((r2_tarski(esk2_0,k2_surreal0(esk1_0))|(r2_tarski(esk2_0,k2_surreal0(k1_surreals(esk1_0)))|(r1_surrealo(k11_surreal0,esk2_0)|r2_tarski(esk2_0,k1_surreal0(k1_surreals(esk1_0))))))&(r1_surrealo(k11_surreal0,esk2_0)|(r2_tarski(esk2_0,k2_surreal0(k1_surreals(esk1_0)))|(r1_surrealo(k11_surreal0,esk2_0)|r2_tarski(esk2_0,k1_surreal0(k1_surreals(esk1_0)))))))&(~r2_tarski(esk2_0,k2_surreal0(k1_surreals(esk1_0)))|(r2_tarski(esk2_0,k2_surreal0(k1_surreals(esk1_0)))|(r1_surrealo(k11_surreal0,esk2_0)|r2_tarski(esk2_0,k1_surreal0(k1_surreals(esk1_0)))))))&(((r2_tarski(esk2_0,k2_surreal0(esk1_0))|(~r2_tarski(esk2_0,k2_surreal0(esk1_0))|~r1_surrealo(k11_surreal0,esk2_0)|(r1_surrealo(k11_surreal0,esk2_0)|r2_tarski(esk2_0,k1_surreal0(k1_surreals(esk1_0))))))&(r1_surrealo(k11_surreal0,esk2_0)|(~r2_tarski(esk2_0,k2_surreal0(esk1_0))|~r1_surrealo(k11_surreal0,esk2_0)|(r1_surrealo(k11_surreal0,esk2_0)|r2_tarski(esk2_0,k1_surreal0(k1_surreals(esk1_0)))))))&(~r2_tarski(esk2_0,k2_surreal0(k1_surreals(esk1_0)))|(~r2_tarski(esk2_0,k2_surreal0(esk1_0))|~r1_surrealo(k11_surreal0,esk2_0)|(r1_surrealo(k11_surreal0,esk2_0)|r2_tarski(esk2_0,k1_surreal0(k1_surreals(esk1_0)))))))))&((((r2_tarski(esk2_0,k2_surreal0(esk1_0))|(r2_tarski(esk2_0,k2_surreal0(k1_surreals(esk1_0)))|(~r2_tarski(esk2_0,k1_surreal0(k1_surreals(esk1_0)))|r2_tarski(esk2_0,k1_surreal0(k1_surreals(esk1_0))))))&(r1_surrealo(k11_surreal0,esk2_0)|(r2_tarski(esk2_0,k2_surreal0(k1_surreals(esk1_0)))|(~r2_tarski(esk2_0,k1_surreal0(k1_surreals(esk1_0)))|r2_tarski(esk2_0,k1_surreal0(k1_surreals(esk1_0)))))))&(~r2_tarski(esk2_0,k2_surreal0(k1_surreals(esk1_0)))|(r2_tarski(esk2_0,k2_surreal0(k1_surreals(esk1_0)))|(~r2_tarski(esk2_0,k1_surreal0(k1_surreals(esk1_0)))|r2_tarski(esk2_0,k1_surreal0(k1_surreals(esk1_0)))))))&(((r2_tarski(esk2_0,k2_surreal0(esk1_0))|(~r2_tarski(esk2_0,k2_surreal0(esk1_0))|~r1_surrealo(k11_surreal0,esk2_0)|(~r2_tarski(esk2_0,k1_surreal0(k1_surreals(esk1_0)))|r2_tarski(esk2_0,k1_surreal0(k1_surreals(esk1_0))))))&(r1_surrealo(k11_surreal0,esk2_0)|(~r2_tarski(esk2_0,k2_surreal0(esk1_0))|~r1_surrealo(k11_surreal0,esk2_0)|(~r2_tarski(esk2_0,k1_surreal0(k1_surreals(esk1_0)))|r2_tarski(esk2_0,k1_surreal0(k1_surreals(esk1_0)))))))&(~r2_tarski(esk2_0,k2_surreal0(k1_surreals(esk1_0)))|(~r2_tarski(esk2_0,k2_surreal0(esk1_0))|~r1_surrealo(k11_surreal0,esk2_0)|(~r2_tarski(esk2_0,k1_surreal0(k1_surreals(esk1_0)))|r2_tarski(esk2_0,k1_surreal0(k1_surreals(esk1_0)))))))))&((((((r2_tarski(esk2_0,k2_surreal0(esk1_0))|(r2_tarski(esk2_0,k2_surreal0(k1_surreals(esk1_0)))|(r2_tarski(esk2_0,k1_surreal0(esk1_0))|(~r2_tarski(esk2_0,k1_surreal0(esk1_0))|~r1_surrealo(k11_surreal0,esk2_0)))))&(r1_surrealo(k11_surreal0,esk2_0)|(r2_tarski(esk2_0,k2_surreal0(k1_surreals(esk1_0)))|(r2_tarski(esk2_0,k1_surreal0(esk1_0))|(~r2_tarski(esk2_0,k1_surreal0(esk1_0))|~r1_surrealo(k11_surreal0,esk2_0))))))&(~r2_tarski(esk2_0,k2_surreal0(k1_surreals(esk1_0)))|(r2_tarski(esk2_0,k2_surreal0(k1_surreals(esk1_0)))|(r2_tarski(esk2_0,k1_surreal0(esk1_0))|(~r2_tarski(esk2_0,k1_surreal0(esk1_0))|~r1_surrealo(k11_surreal0,esk2_0))))))&(((r2_tarski(esk2_0,k2_surreal0(esk1_0))|(~r2_tarski(esk2_0,k2_surreal0(esk1_0))|~r1_surrealo(k11_surreal0,esk2_0)|(r2_tarski(esk2_0,k1_surreal0(esk1_0))|(~r2_tarski(esk2_0,k1_surreal0(esk1_0))|~r1_surrealo(k11_surreal0,esk2_0)))))&(r1_surrealo(k11_surreal0,esk2_0)|(~r2_tarski(esk2_0,k2_surreal0(esk1_0))|~r1_surrealo(k11_surreal0,esk2_0)|(r2_tarski(esk2_0,k1_surreal0(esk1_0))|(~r2_tarski(esk2_0,k1_surreal0(esk1_0))|~r1_surrealo(k11_surreal0,esk2_0))))))&(~r2_tarski(esk2_0,k2_surreal0(k1_surreals(esk1_0)))|(~r2_tarski(esk2_0,k2_surreal0(esk1_0))|~r1_surrealo(k11_surreal0,esk2_0)|(r2_tarski(esk2_0,k1_surreal0(esk1_0))|(~r2_tarski(esk2_0,k1_surreal0(esk1_0))|~r1_surrealo(k11_surreal0,esk2_0)))))))&((((r2_tarski(esk2_0,k2_surreal0(esk1_0))|(r2_tarski(esk2_0,k2_surreal0(k1_surreals(esk1_0)))|(r1_surrealo(k11_surreal0,esk2_0)|(~r2_tarski(esk2_0,k1_surreal0(esk1_0))|~r1_surrealo(k11_surreal0,esk2_0)))))&(r1_surrealo(k11_surreal0,esk2_0)|(r2_tarski(esk2_0,k2_surreal0(k1_surreals(esk1_0)))|(r1_surrealo(k11_surreal0,esk2_0)|(~r2_tarski(esk2_0,k1_surreal0(esk1_0))|~r1_surrealo(k11_surreal0,esk2_0))))))&(~r2_tarski(esk2_0,k2_surreal0(k1_surreals(esk1_0)))|(r2_tarski(esk2_0,k2_surreal0(k1_surreals(esk1_0)))|(r1_surrealo(k11_surreal0,esk2_0)|(~r2_tarski(esk2_0,k1_surreal0(esk1_0))|~r1_surrealo(k11_surreal0,esk2_0))))))&(((r2_tarski(esk2_0,k2_surreal0(esk1_0))|(~r2_tarski(esk2_0,k2_surreal0(esk1_0))|~r1_surrealo(k11_surreal0,esk2_0)|(r1_surrealo(k11_surreal0,esk2_0)|(~r2_tarski(esk2_0,k1_surreal0(esk1_0))|~r1_surrealo(k11_surreal0,esk2_0)))))&(r1_surrealo(k11_surreal0,esk2_0)|(~r2_tarski(esk2_0,k2_surreal0(esk1_0))|~r1_surrealo(k11_surreal0,esk2_0)|(r1_surrealo(k11_surreal0,esk2_0)|(~r2_tarski(esk2_0,k1_surreal0(esk1_0))|~r1_surrealo(k11_surreal0,esk2_0))))))&(~r2_tarski(esk2_0,k2_surreal0(k1_surreals(esk1_0)))|(~r2_tarski(esk2_0,k2_surreal0(esk1_0))|~r1_surrealo(k11_surreal0,esk2_0)|(r1_surrealo(k11_surreal0,esk2_0)|(~r2_tarski(esk2_0,k1_surreal0(esk1_0))|~r1_surrealo(k11_surreal0,esk2_0))))))))&((((r2_tarski(esk2_0,k2_surreal0(esk1_0))|(r2_tarski(esk2_0,k2_surreal0(k1_surreals(esk1_0)))|(~r2_tarski(esk2_0,k1_surreal0(k1_surreals(esk1_0)))|(~r2_tarski(esk2_0,k1_surreal0(esk1_0))|~r1_surrealo(k11_surreal0,esk2_0)))))&(r1_surrealo(k11_surreal0,esk2_0)|(r2_tarski(esk2_0,k2_surreal0(k1_surreals(esk1_0)))|(~r2_tarski(esk2_0,k1_surreal0(k1_surreals(esk1_0)))|(~r2_tarski(esk2_0,k1_surreal0(esk1_0))|~r1_surrealo(k11_surreal0,esk2_0))))))&(~r2_tarski(esk2_0,k2_surreal0(k1_surreals(esk1_0)))|(r2_tarski(esk2_0,k2_surreal0(k1_surreals(esk1_0)))|(~r2_tarski(esk2_0,k1_surreal0(k1_surreals(esk1_0)))|(~r2_tarski(esk2_0,k1_surreal0(esk1_0))|~r1_surrealo(k11_surreal0,esk2_0))))))&(((r2_tarski(esk2_0,k2_surreal0(esk1_0))|(~r2_tarski(esk2_0,k2_surreal0(esk1_0))|~r1_surrealo(k11_surreal0,esk2_0)|(~r2_tarski(esk2_0,k1_surreal0(k1_surreals(esk1_0)))|(~r2_tarski(esk2_0,k1_surreal0(esk1_0))|~r1_surrealo(k11_surreal0,esk2_0)))))&(r1_surrealo(k11_surreal0,esk2_0)|(~r2_tarski(esk2_0,k2_surreal0(esk1_0))|~r1_surrealo(k11_surreal0,esk2_0)|(~r2_tarski(esk2_0,k1_surreal0(k1_surreals(esk1_0)))|(~r2_tarski(esk2_0,k1_surreal0(esk1_0))|~r1_surrealo(k11_surreal0,esk2_0))))))&(~r2_tarski(esk2_0,k2_surreal0(k1_surreals(esk1_0)))|(~r2_tarski(esk2_0,k2_surreal0(esk1_0))|~r1_surrealo(k11_surreal0,esk2_0)|(~r2_tarski(esk2_0,k1_surreal0(k1_surreals(esk1_0)))|(~r2_tarski(esk2_0,k1_surreal0(esk1_0))|~r1_surrealo(k11_surreal0,esk2_0)))))))))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])])])).
fof(c_0_14, plain, ![X21, X22]:((X22!=k1_surreals(X21)|epred1_2(X22,X21)|~v1_xtuple_0(X22))&(~epred1_2(X22,X21)|X22=k1_surreals(X21)|~v1_xtuple_0(X22))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])])).
fof(c_0_15, plain, ![X23]:v1_xtuple_0(k1_surreals(X23)), inference(variable_rename,[status(thm)],[dt_k1_surreals])).
cnf(c_0_16, 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_5])).
cnf(c_0_17, plain, (X1=esk3_3(X2,X3,X1)|~r2_hidden(X1,k1_surreal0(X3))|~epred1_2(X3,X2)), inference(split_conjunct,[status(thm)],[c_0_5])).
cnf(c_0_18, plain, (r2_tarski(X1,k2_surreal0(X2))|~epred1_2(X3,X2)|~r2_tarski(X1,k2_surreal0(X3))), inference(spm,[status(thm)],[c_0_11, c_0_12])).
cnf(c_0_19, negated_conjecture, (r2_tarski(esk2_0,k2_surreal0(esk1_0))|r2_tarski(esk2_0,k2_surreal0(k1_surreals(esk1_0)))|r2_tarski(esk2_0,k1_surreal0(esk1_0))|r2_tarski(esk2_0,k1_surreal0(k1_surreals(esk1_0)))), inference(split_conjunct,[status(thm)],[c_0_13])).
cnf(c_0_20, plain, (epred1_2(X1,X2)|X1!=k1_surreals(X2)|~v1_xtuple_0(X1)), inference(split_conjunct,[status(thm)],[c_0_14])).
cnf(c_0_21, plain, (v1_xtuple_0(k1_surreals(X1))), inference(split_conjunct,[status(thm)],[c_0_15])).
cnf(c_0_22, plain, (r1_surrealo(k11_surreal0,esk4_3(X1,X2,X3))|~r2_hidden(X3,k2_surreal0(X2))|~epred1_2(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_5])).
cnf(c_0_23, plain, (r1_surrealo(k11_surreal0,esk3_3(X1,X2,X3))|~r2_hidden(X3,k1_surreal0(X2))|~epred1_2(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_5])).
cnf(c_0_24, plain, (r2_tarski(X1,k1_surreal0(X2))|~epred1_2(X3,X2)|~r2_hidden(X1,k1_surreal0(X3))), inference(spm,[status(thm)],[c_0_16, c_0_17])).
cnf(c_0_25, negated_conjecture, (r2_tarski(esk2_0,k1_surreal0(k1_surreals(esk1_0)))|r2_tarski(esk2_0,k2_surreal0(esk1_0))|r2_tarski(esk2_0,k1_surreal0(esk1_0))|r2_tarski(esk2_0,k2_surreal0(X1))|~epred1_2(k1_surreals(esk1_0),X1)), inference(spm,[status(thm)],[c_0_18, c_0_19])).
cnf(c_0_26, plain, (epred1_2(k1_surreals(X1),X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_20]), c_0_21])])).
cnf(c_0_27, plain, (r1_surrealo(k11_surreal0,X1)|~epred1_2(X2,X3)|~r2_hidden(X1,k2_surreal0(X2))), inference(spm,[status(thm)],[c_0_22, c_0_7])).
cnf(c_0_28, negated_conjecture, (r1_surrealo(k11_surreal0,esk2_0)|r2_tarski(esk2_0,k2_surreal0(k1_surreals(esk1_0)))|r1_surrealo(k11_surreal0,esk2_0)|r2_tarski(esk2_0,k1_surreal0(k1_surreals(esk1_0)))), inference(split_conjunct,[status(thm)],[c_0_13])).
cnf(c_0_29, plain, (r1_surrealo(k11_surreal0,X1)|~epred1_2(X2,X3)|~r2_hidden(X1,k1_surreal0(X2))), inference(spm,[status(thm)],[c_0_23, c_0_17])).
cnf(c_0_30, plain, (r2_tarski(X1,k1_surreal0(X2))|~epred1_2(X3,X2)|~r2_tarski(X1,k1_surreal0(X3))), inference(spm,[status(thm)],[c_0_24, c_0_12])).
cnf(c_0_31, negated_conjecture, (r2_tarski(esk2_0,k1_surreal0(k1_surreals(esk1_0)))|r2_tarski(esk2_0,k1_surreal0(esk1_0))|r2_tarski(esk2_0,k2_surreal0(esk1_0))), inference(spm,[status(thm)],[c_0_25, c_0_26])).
cnf(c_0_32, plain, (r1_surrealo(k11_surreal0,X1)|~epred1_2(X2,X3)|~r2_tarski(X1,k2_surreal0(X2))), inference(spm,[status(thm)],[c_0_27, c_0_12])).
cnf(c_0_33, negated_conjecture, (r1_surrealo(k11_surreal0,esk2_0)|r2_tarski(esk2_0,k1_surreal0(k1_surreals(esk1_0)))|r2_tarski(esk2_0,k2_surreal0(k1_surreals(esk1_0)))), inference(cn,[status(thm)],[c_0_28])).
cnf(c_0_34, plain, (r1_surrealo(k11_surreal0,X1)|~epred1_2(X2,X3)|~r2_tarski(X1,k1_surreal0(X2))), inference(spm,[status(thm)],[c_0_29, c_0_12])).
cnf(c_0_35, plain, (r2_hidden(X2,k2_surreal0(X4))|~v2_surreal0(X1)|X2!=X1|~r2_tarski(X1,k2_surreal0(X3))|~r1_surrealo(k11_surreal0,X1)|~epred1_2(X4,X3)), inference(split_conjunct,[status(thm)],[c_0_5])).
cnf(c_0_36, plain, (r2_tarski(esk2_0,k2_surreal0(esk1_0))|r2_tarski(esk2_0,k1_surreal0(esk1_0))|r2_tarski(esk2_0,k1_surreal0(X1))|~epred1_2(k1_surreals(esk1_0),X1)), inference(spm,[status(thm)],[c_0_30, c_0_31])).
cnf(c_0_37, negated_conjecture, (r1_surrealo(k11_surreal0,esk2_0)|~epred1_2(k1_surreals(esk1_0),X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_32, c_0_33]), c_0_34])).
cnf(c_0_38, plain, (r2_hidden(X1,k2_surreal0(X2))|~epred1_2(X2,X3)|~r1_surrealo(k11_surreal0,X1)|~r2_tarski(X1,k2_surreal0(X3))|~v2_surreal0(X1)), inference(er,[status(thm)],[c_0_35])).
cnf(c_0_39, plain, (r2_tarski(esk2_0,k1_surreal0(esk1_0))|r2_tarski(esk2_0,k2_surreal0(esk1_0))), inference(spm,[status(thm)],[c_0_36, c_0_26])).
cnf(c_0_40, negated_conjecture, (r1_surrealo(k11_surreal0,esk2_0)), inference(spm,[status(thm)],[c_0_37, c_0_26])).
cnf(c_0_41, negated_conjecture, (v2_surreal0(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_13])).
cnf(c_0_42, negated_conjecture, (r2_tarski(esk2_0,k1_surreal0(esk1_0))|r2_tarski(esk2_0,k1_surreal0(k1_surreals(esk1_0)))|~r2_tarski(esk2_0,k2_surreal0(k1_surreals(esk1_0)))|~r2_tarski(esk2_0,k2_surreal0(esk1_0))|~r1_surrealo(k11_surreal0,esk2_0)), inference(split_conjunct,[status(thm)],[c_0_13])).
cnf(c_0_43, plain, (r2_hidden(esk2_0,k2_surreal0(X1))|r2_tarski(esk2_0,k1_surreal0(esk1_0))|~epred1_2(X1,esk1_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38, c_0_39]), c_0_40]), c_0_41])])).
cnf(c_0_44, negated_conjecture, (r2_tarski(esk2_0,k1_surreal0(k1_surreals(esk1_0)))|r2_tarski(esk2_0,k1_surreal0(esk1_0))|~r2_tarski(esk2_0,k2_surreal0(k1_surreals(esk1_0)))|~r2_tarski(esk2_0,k2_surreal0(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_42, c_0_40])])).
cnf(c_0_45, plain, (r2_tarski(X1,X2)|~r2_hidden(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_8])).
cnf(c_0_46, plain, (r2_hidden(esk2_0,k2_surreal0(k1_surreals(esk1_0)))|r2_tarski(esk2_0,k1_surreal0(esk1_0))), inference(spm,[status(thm)],[c_0_43, c_0_26])).
cnf(c_0_47, negated_conjecture, (r2_tarski(esk2_0,k1_surreal0(k1_surreals(esk1_0)))|r2_tarski(esk2_0,k1_surreal0(esk1_0))|~r2_tarski(esk2_0,k2_surreal0(k1_surreals(esk1_0)))), inference(spm,[status(thm)],[c_0_44, c_0_39])).
cnf(c_0_48, plain, (r2_tarski(esk2_0,k2_surreal0(k1_surreals(esk1_0)))|r2_tarski(esk2_0,k1_surreal0(esk1_0))), inference(spm,[status(thm)],[c_0_45, c_0_46])).
cnf(c_0_49, negated_conjecture, (r2_tarski(esk2_0,k1_surreal0(k1_surreals(esk1_0)))|r2_tarski(esk2_0,k1_surreal0(esk1_0))), inference(spm,[status(thm)],[c_0_47, c_0_48])).
cnf(c_0_50, plain, (r2_hidden(X2,k1_surreal0(X4))|~v2_surreal0(X1)|X2!=X1|~r2_tarski(X1,k1_surreal0(X3))|~r1_surrealo(k11_surreal0,X1)|~epred1_2(X4,X3)), inference(split_conjunct,[status(thm)],[c_0_5])).
cnf(c_0_51, plain, (r2_tarski(esk2_0,k1_surreal0(esk1_0))|r2_tarski(esk2_0,k1_surreal0(X1))|~epred1_2(k1_surreals(esk1_0),X1)), inference(spm,[status(thm)],[c_0_30, c_0_49])).
cnf(c_0_52, plain, (r2_hidden(X1,k1_surreal0(X2))|~epred1_2(X2,X3)|~r1_surrealo(k11_surreal0,X1)|~r2_tarski(X1,k1_surreal0(X3))|~v2_surreal0(X1)), inference(er,[status(thm)],[c_0_50])).
cnf(c_0_53, plain, (r2_tarski(esk2_0,k1_surreal0(esk1_0))), inference(spm,[status(thm)],[c_0_51, c_0_26])).
cnf(c_0_54, negated_conjecture, (r2_tarski(esk2_0,k2_surreal0(esk1_0))|r2_tarski(esk2_0,k2_surreal0(k1_surreals(esk1_0)))|~r2_tarski(esk2_0,k1_surreal0(k1_surreals(esk1_0)))|~r2_tarski(esk2_0,k1_surreal0(esk1_0))|~r1_surrealo(k11_surreal0,esk2_0)), inference(split_conjunct,[status(thm)],[c_0_13])).
cnf(c_0_55, plain, (r2_hidden(esk2_0,k1_surreal0(X1))|~epred1_2(X1,esk1_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52, c_0_53]), c_0_40]), c_0_41])])).
cnf(c_0_56, negated_conjecture, (r2_tarski(esk2_0,k2_surreal0(k1_surreals(esk1_0)))|r2_tarski(esk2_0,k2_surreal0(esk1_0))|~r2_tarski(esk2_0,k1_surreal0(k1_surreals(esk1_0)))|~r2_tarski(esk2_0,k1_surreal0(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_54, c_0_40])])).
cnf(c_0_57, plain, (r2_hidden(esk2_0,k1_surreal0(k1_surreals(esk1_0)))), inference(spm,[status(thm)],[c_0_55, c_0_26])).
cnf(c_0_58, negated_conjecture, (r2_tarski(esk2_0,k2_surreal0(k1_surreals(esk1_0)))|r2_tarski(esk2_0,k2_surreal0(esk1_0))|~r2_tarski(esk2_0,k1_surreal0(k1_surreals(esk1_0)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_56, c_0_53])])).
cnf(c_0_59, plain, (r2_tarski(esk2_0,k1_surreal0(k1_surreals(esk1_0)))), inference(spm,[status(thm)],[c_0_45, c_0_57])).
cnf(c_0_60, negated_conjecture, (~r2_tarski(esk2_0,k2_surreal0(k1_surreals(esk1_0)))|~r2_tarski(esk2_0,k2_surreal0(esk1_0))|~r1_surrealo(k11_surreal0,esk2_0)|~r2_tarski(esk2_0,k1_surreal0(k1_surreals(esk1_0)))|~r2_tarski(esk2_0,k1_surreal0(esk1_0))|~r1_surrealo(k11_surreal0,esk2_0)), inference(split_conjunct,[status(thm)],[c_0_13])).
cnf(c_0_61, negated_conjecture, (r2_tarski(esk2_0,k2_surreal0(k1_surreals(esk1_0)))|r2_tarski(esk2_0,k2_surreal0(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_58, c_0_59])])).
cnf(c_0_62, negated_conjecture, (~r1_surrealo(k11_surreal0,esk2_0)|~r2_tarski(esk2_0,k1_surreal0(esk1_0))|~r2_tarski(esk2_0,k2_surreal0(esk1_0))|~r2_tarski(esk2_0,k1_surreal0(k1_surreals(esk1_0)))|~r2_tarski(esk2_0,k2_surreal0(k1_surreals(esk1_0)))), inference(cn,[status(thm)],[c_0_60])).
cnf(c_0_63, plain, (r2_tarski(esk2_0,k2_surreal0(esk1_0))|r2_tarski(esk2_0,k2_surreal0(X1))|~epred1_2(k1_surreals(esk1_0),X1)), inference(spm,[status(thm)],[c_0_18, c_0_61])).
cnf(c_0_64, negated_conjecture, (~r2_tarski(esk2_0,k1_surreal0(k1_surreals(esk1_0)))|~r2_tarski(esk2_0,k2_surreal0(k1_surreals(esk1_0)))|~r2_tarski(esk2_0,k1_surreal0(esk1_0))|~r2_tarski(esk2_0,k2_surreal0(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_62, c_0_40])])).
cnf(c_0_65, plain, (r2_tarski(esk2_0,k2_surreal0(esk1_0))), inference(spm,[status(thm)],[c_0_63, c_0_26])).
cnf(c_0_66, negated_conjecture, (~r2_tarski(esk2_0,k1_surreal0(k1_surreals(esk1_0)))|~r2_tarski(esk2_0,k2_surreal0(k1_surreals(esk1_0)))|~r2_tarski(esk2_0,k2_surreal0(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_64, c_0_53])])).
cnf(c_0_67, plain, (r2_hidden(esk2_0,k2_surreal0(X1))|~epred1_2(X1,esk1_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38, c_0_65]), c_0_40]), c_0_41])])).
cnf(c_0_68, negated_conjecture, (~r2_tarski(esk2_0,k2_surreal0(k1_surreals(esk1_0)))|~r2_tarski(esk2_0,k2_surreal0(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_66, c_0_59])])).
cnf(c_0_69, plain, (r2_hidden(esk2_0,k2_surreal0(k1_surreals(esk1_0)))), inference(spm,[status(thm)],[c_0_67, c_0_26])).
cnf(c_0_70, negated_conjecture, (~r2_tarski(esk2_0,k2_surreal0(k1_surreals(esk1_0)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_68, c_0_65])])).
cnf(c_0_71, plain, ($false), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45, c_0_69]), c_0_70]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 72
# Proof object clause steps            : 60
# Proof object formula steps           : 12
# Proof object conjectures             : 25
# Proof object clause conjectures      : 22
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 18
# Proof object initial formulas used   : 4
# Proof object generating inferences   : 29
# Proof object simplifying inferences  : 34
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 6
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 154
# Removed in clause preprocessing      : 31
# Initial clauses in saturation        : 123
# Processed clauses                    : 345
# ...of these trivial                  : 1
# ...subsumed                          : 7
# ...remaining for further processing  : 337
# Other redundant clauses eliminated   : 103
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 17
# Backward-rewritten                   : 21
# Generated clauses                    : 320
# ...of the previous two non-trivial   : 283
# Contextual simplify-reflections      : 1
# Paramodulations                      : 242
# 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  : 100
#    Positive orientable unit clauses  : 9
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 1
#    Non-unit-clauses                  : 90
# Current number of unprocessed clauses: 182
# ...number of literals in the above   : 1160
# Current number of archived formulas  : 0
# Current number of archived clauses   : 161
# Clause-clause subsumption calls (NU) : 18498
# Rec. Clause-clause subsumption calls : 1643
# Non-unit clause-clause subsumptions  : 25
# Unit Clause-clause subsumption calls : 11
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 4
# BW rewrite match successes           : 4
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 21039

# -------------------------------------------------
# User time                : 0.055 s
# System time              : 0.000 s
# Total time               : 0.055 s
# Maximum resident set size: 3616 pages
