# 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       : 0.027 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__t4_surreals', redefinition_r2_tarski)).
fof(d20_surreal0, axiom, ![X1, X2]:(r7_surreal0(X1,X2)<=>![X3]:(v2_surreal0(X3)=>![X4]:(v2_surreal0(X4)=>~(((r2_tarski(X3,X1)&r2_tarski(X4,X2))&r5_surreal0(X4,X3)))))), file('surreals/surreals__t4_surreals', d20_surreal0)).
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__t4_surreals', d1_surreals)).
fof(dt_k1_surreals, axiom, ![X1]:v1_xtuple_0(k1_surreals(X1)), file('surreals/surreals__t4_surreals', dt_k1_surreals)).
fof(rd1_xtuple_0, axiom, ![X1, X2]:k1_xtuple_0(k4_tarski(X1,X2))=X1, file('surreals/surreals__t4_surreals', rd1_xtuple_0)).
fof(redefinition_k1_surreal0, axiom, ![X1]:k1_surreal0(X1)=k1_xtuple_0(X1), file('surreals/surreals__t4_surreals', redefinition_k1_surreal0)).
fof(t7_boole, axiom, ![X1, X2]:~((r2_tarski(X1,X2)&v1_xboole_0(X2))), file('surreals/surreals__t4_surreals', t7_boole)).
fof(t43_surreal0, axiom, ![X1]:(v2_surreal0(X1)=>![X2]:(v2_surreal0(X2)=>(r5_surreal0(X1,X2)<=>(r7_surreal0(k1_surreal0(X1),k1_tarski(X2))&r7_surreal0(k1_tarski(X1),k2_surreal0(X2)))))), file('surreals/surreals__t4_surreals', t43_surreal0)).
fof(d15_surreal0, axiom, k11_surreal0=k4_tarski(k1_xboole_0,k1_xboole_0), file('surreals/surreals__t4_surreals', d15_surreal0)).
fof(fc1_xboole_0, axiom, v1_xboole_0(k1_xboole_0), file('surreals/surreals__t4_surreals', fc1_xboole_0)).
fof(dt_k11_surreal0, axiom, v2_surreal0(k11_surreal0), file('surreals/surreals__t4_surreals', dt_k11_surreal0)).
fof(fc3_surreals, axiom, ![X1]:(v2_surreal0(X1)=>(v1_xtuple_0(k1_surreals(X1))&v2_surreal0(k1_surreals(X1)))), file('surreals/surreals__t4_surreals', fc3_surreals)).
fof(t4_surreals, conjecture, ![X1]:(v2_surreal0(X1)=>(r1_surrealo(k11_surreal0,X1)=>r1_surrealo(k11_surreal0,k1_surreals(X1)))), file('surreals/surreals__t4_surreals', t4_surreals)).
fof(redefinition_r1_surrealo, axiom, ![X1, X2]:((v2_surreal0(X1)&v2_surreal0(X2))=>(r1_surrealo(X1,X2)<=>r5_surreal0(X1,X2))), file('surreals/surreals__t4_surreals', redefinition_r1_surrealo)).
fof(c_0_14, 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_15, plain, ![X54, X55, X56, X58, X59, X60, X62, X63, X64, X65, X67, X71]:((((((v2_surreal0(esk4_3(X54,X55,X56))|~r2_hidden(X56,k1_surreal0(X55))|~epred1_2(X55,X54))&(((X56=esk4_3(X54,X55,X56)|~r2_hidden(X56,k1_surreal0(X55))|~epred1_2(X55,X54))&(r2_tarski(esk4_3(X54,X55,X56),k1_surreal0(X54))|~r2_hidden(X56,k1_surreal0(X55))|~epred1_2(X55,X54)))&(r1_surrealo(k11_surreal0,esk4_3(X54,X55,X56))|~r2_hidden(X56,k1_surreal0(X55))|~epred1_2(X55,X54))))&(~v2_surreal0(X59)|X58!=X59|~r2_tarski(X59,k1_surreal0(X54))|~r1_surrealo(k11_surreal0,X59)|r2_hidden(X58,k1_surreal0(X55))|~epred1_2(X55,X54)))&((v2_surreal0(esk5_3(X54,X55,X60))|~r2_hidden(X60,k2_surreal0(X55))|~epred1_2(X55,X54))&(((X60=esk5_3(X54,X55,X60)|~r2_hidden(X60,k2_surreal0(X55))|~epred1_2(X55,X54))&(r2_tarski(esk5_3(X54,X55,X60),k2_surreal0(X54))|~r2_hidden(X60,k2_surreal0(X55))|~epred1_2(X55,X54)))&(r1_surrealo(k11_surreal0,esk5_3(X54,X55,X60))|~r2_hidden(X60,k2_surreal0(X55))|~epred1_2(X55,X54)))))&(~v2_surreal0(X63)|X62!=X63|~r2_tarski(X63,k2_surreal0(X54))|~r1_surrealo(k11_surreal0,X63)|r2_hidden(X62,k2_surreal0(X55))|~epred1_2(X55,X54)))&(((((((((((v2_surreal0(esk11_2(X64,X65))|(r2_hidden(esk9_2(X64,X65),k2_surreal0(X65))|(v2_surreal0(esk8_2(X64,X65))|r2_hidden(esk6_2(X64,X65),k1_surreal0(X65))))|epred1_2(X65,X64))&(esk10_2(X64,X65)=esk11_2(X64,X65)|(r2_hidden(esk9_2(X64,X65),k2_surreal0(X65))|(v2_surreal0(esk8_2(X64,X65))|r2_hidden(esk6_2(X64,X65),k1_surreal0(X65))))|epred1_2(X65,X64)))&(r2_tarski(esk11_2(X64,X65),k2_surreal0(X64))|(r2_hidden(esk9_2(X64,X65),k2_surreal0(X65))|(v2_surreal0(esk8_2(X64,X65))|r2_hidden(esk6_2(X64,X65),k1_surreal0(X65))))|epred1_2(X65,X64)))&(r1_surrealo(k11_surreal0,esk11_2(X64,X65))|(r2_hidden(esk9_2(X64,X65),k2_surreal0(X65))|(v2_surreal0(esk8_2(X64,X65))|r2_hidden(esk6_2(X64,X65),k1_surreal0(X65))))|epred1_2(X65,X64)))&(~r2_hidden(esk10_2(X64,X65),k2_surreal0(X65))|(r2_hidden(esk9_2(X64,X65),k2_surreal0(X65))|(v2_surreal0(esk8_2(X64,X65))|r2_hidden(esk6_2(X64,X65),k1_surreal0(X65))))|epred1_2(X65,X64)))&(((((v2_surreal0(esk11_2(X64,X65))|(~v2_surreal0(X71)|(esk9_2(X64,X65)!=X71|~r2_tarski(X71,k2_surreal0(X64))|~r1_surrealo(k11_surreal0,X71))|(v2_surreal0(esk8_2(X64,X65))|r2_hidden(esk6_2(X64,X65),k1_surreal0(X65))))|epred1_2(X65,X64))&(esk10_2(X64,X65)=esk11_2(X64,X65)|(~v2_surreal0(X71)|(esk9_2(X64,X65)!=X71|~r2_tarski(X71,k2_surreal0(X64))|~r1_surrealo(k11_surreal0,X71))|(v2_surreal0(esk8_2(X64,X65))|r2_hidden(esk6_2(X64,X65),k1_surreal0(X65))))|epred1_2(X65,X64)))&(r2_tarski(esk11_2(X64,X65),k2_surreal0(X64))|(~v2_surreal0(X71)|(esk9_2(X64,X65)!=X71|~r2_tarski(X71,k2_surreal0(X64))|~r1_surrealo(k11_surreal0,X71))|(v2_surreal0(esk8_2(X64,X65))|r2_hidden(esk6_2(X64,X65),k1_surreal0(X65))))|epred1_2(X65,X64)))&(r1_surrealo(k11_surreal0,esk11_2(X64,X65))|(~v2_surreal0(X71)|(esk9_2(X64,X65)!=X71|~r2_tarski(X71,k2_surreal0(X64))|~r1_surrealo(k11_surreal0,X71))|(v2_surreal0(esk8_2(X64,X65))|r2_hidden(esk6_2(X64,X65),k1_surreal0(X65))))|epred1_2(X65,X64)))&(~r2_hidden(esk10_2(X64,X65),k2_surreal0(X65))|(~v2_surreal0(X71)|(esk9_2(X64,X65)!=X71|~r2_tarski(X71,k2_surreal0(X64))|~r1_surrealo(k11_surreal0,X71))|(v2_surreal0(esk8_2(X64,X65))|r2_hidden(esk6_2(X64,X65),k1_surreal0(X65))))|epred1_2(X65,X64))))&((((((v2_surreal0(esk11_2(X64,X65))|(r2_hidden(esk9_2(X64,X65),k2_surreal0(X65))|(esk7_2(X64,X65)=esk8_2(X64,X65)|r2_hidden(esk6_2(X64,X65),k1_surreal0(X65))))|epred1_2(X65,X64))&(esk10_2(X64,X65)=esk11_2(X64,X65)|(r2_hidden(esk9_2(X64,X65),k2_surreal0(X65))|(esk7_2(X64,X65)=esk8_2(X64,X65)|r2_hidden(esk6_2(X64,X65),k1_surreal0(X65))))|epred1_2(X65,X64)))&(r2_tarski(esk11_2(X64,X65),k2_surreal0(X64))|(r2_hidden(esk9_2(X64,X65),k2_surreal0(X65))|(esk7_2(X64,X65)=esk8_2(X64,X65)|r2_hidden(esk6_2(X64,X65),k1_surreal0(X65))))|epred1_2(X65,X64)))&(r1_surrealo(k11_surreal0,esk11_2(X64,X65))|(r2_hidden(esk9_2(X64,X65),k2_surreal0(X65))|(esk7_2(X64,X65)=esk8_2(X64,X65)|r2_hidden(esk6_2(X64,X65),k1_surreal0(X65))))|epred1_2(X65,X64)))&(~r2_hidden(esk10_2(X64,X65),k2_surreal0(X65))|(r2_hidden(esk9_2(X64,X65),k2_surreal0(X65))|(esk7_2(X64,X65)=esk8_2(X64,X65)|r2_hidden(esk6_2(X64,X65),k1_surreal0(X65))))|epred1_2(X65,X64)))&(((((v2_surreal0(esk11_2(X64,X65))|(~v2_surreal0(X71)|(esk9_2(X64,X65)!=X71|~r2_tarski(X71,k2_surreal0(X64))|~r1_surrealo(k11_surreal0,X71))|(esk7_2(X64,X65)=esk8_2(X64,X65)|r2_hidden(esk6_2(X64,X65),k1_surreal0(X65))))|epred1_2(X65,X64))&(esk10_2(X64,X65)=esk11_2(X64,X65)|(~v2_surreal0(X71)|(esk9_2(X64,X65)!=X71|~r2_tarski(X71,k2_surreal0(X64))|~r1_surrealo(k11_surreal0,X71))|(esk7_2(X64,X65)=esk8_2(X64,X65)|r2_hidden(esk6_2(X64,X65),k1_surreal0(X65))))|epred1_2(X65,X64)))&(r2_tarski(esk11_2(X64,X65),k2_surreal0(X64))|(~v2_surreal0(X71)|(esk9_2(X64,X65)!=X71|~r2_tarski(X71,k2_surreal0(X64))|~r1_surrealo(k11_surreal0,X71))|(esk7_2(X64,X65)=esk8_2(X64,X65)|r2_hidden(esk6_2(X64,X65),k1_surreal0(X65))))|epred1_2(X65,X64)))&(r1_surrealo(k11_surreal0,esk11_2(X64,X65))|(~v2_surreal0(X71)|(esk9_2(X64,X65)!=X71|~r2_tarski(X71,k2_surreal0(X64))|~r1_surrealo(k11_surreal0,X71))|(esk7_2(X64,X65)=esk8_2(X64,X65)|r2_hidden(esk6_2(X64,X65),k1_surreal0(X65))))|epred1_2(X65,X64)))&(~r2_hidden(esk10_2(X64,X65),k2_surreal0(X65))|(~v2_surreal0(X71)|(esk9_2(X64,X65)!=X71|~r2_tarski(X71,k2_surreal0(X64))|~r1_surrealo(k11_surreal0,X71))|(esk7_2(X64,X65)=esk8_2(X64,X65)|r2_hidden(esk6_2(X64,X65),k1_surreal0(X65))))|epred1_2(X65,X64)))))&((((((v2_surreal0(esk11_2(X64,X65))|(r2_hidden(esk9_2(X64,X65),k2_surreal0(X65))|(r2_tarski(esk8_2(X64,X65),k1_surreal0(X64))|r2_hidden(esk6_2(X64,X65),k1_surreal0(X65))))|epred1_2(X65,X64))&(esk10_2(X64,X65)=esk11_2(X64,X65)|(r2_hidden(esk9_2(X64,X65),k2_surreal0(X65))|(r2_tarski(esk8_2(X64,X65),k1_surreal0(X64))|r2_hidden(esk6_2(X64,X65),k1_surreal0(X65))))|epred1_2(X65,X64)))&(r2_tarski(esk11_2(X64,X65),k2_surreal0(X64))|(r2_hidden(esk9_2(X64,X65),k2_surreal0(X65))|(r2_tarski(esk8_2(X64,X65),k1_surreal0(X64))|r2_hidden(esk6_2(X64,X65),k1_surreal0(X65))))|epred1_2(X65,X64)))&(r1_surrealo(k11_surreal0,esk11_2(X64,X65))|(r2_hidden(esk9_2(X64,X65),k2_surreal0(X65))|(r2_tarski(esk8_2(X64,X65),k1_surreal0(X64))|r2_hidden(esk6_2(X64,X65),k1_surreal0(X65))))|epred1_2(X65,X64)))&(~r2_hidden(esk10_2(X64,X65),k2_surreal0(X65))|(r2_hidden(esk9_2(X64,X65),k2_surreal0(X65))|(r2_tarski(esk8_2(X64,X65),k1_surreal0(X64))|r2_hidden(esk6_2(X64,X65),k1_surreal0(X65))))|epred1_2(X65,X64)))&(((((v2_surreal0(esk11_2(X64,X65))|(~v2_surreal0(X71)|(esk9_2(X64,X65)!=X71|~r2_tarski(X71,k2_surreal0(X64))|~r1_surrealo(k11_surreal0,X71))|(r2_tarski(esk8_2(X64,X65),k1_surreal0(X64))|r2_hidden(esk6_2(X64,X65),k1_surreal0(X65))))|epred1_2(X65,X64))&(esk10_2(X64,X65)=esk11_2(X64,X65)|(~v2_surreal0(X71)|(esk9_2(X64,X65)!=X71|~r2_tarski(X71,k2_surreal0(X64))|~r1_surrealo(k11_surreal0,X71))|(r2_tarski(esk8_2(X64,X65),k1_surreal0(X64))|r2_hidden(esk6_2(X64,X65),k1_surreal0(X65))))|epred1_2(X65,X64)))&(r2_tarski(esk11_2(X64,X65),k2_surreal0(X64))|(~v2_surreal0(X71)|(esk9_2(X64,X65)!=X71|~r2_tarski(X71,k2_surreal0(X64))|~r1_surrealo(k11_surreal0,X71))|(r2_tarski(esk8_2(X64,X65),k1_surreal0(X64))|r2_hidden(esk6_2(X64,X65),k1_surreal0(X65))))|epred1_2(X65,X64)))&(r1_surrealo(k11_surreal0,esk11_2(X64,X65))|(~v2_surreal0(X71)|(esk9_2(X64,X65)!=X71|~r2_tarski(X71,k2_surreal0(X64))|~r1_surrealo(k11_surreal0,X71))|(r2_tarski(esk8_2(X64,X65),k1_surreal0(X64))|r2_hidden(esk6_2(X64,X65),k1_surreal0(X65))))|epred1_2(X65,X64)))&(~r2_hidden(esk10_2(X64,X65),k2_surreal0(X65))|(~v2_surreal0(X71)|(esk9_2(X64,X65)!=X71|~r2_tarski(X71,k2_surreal0(X64))|~r1_surrealo(k11_surreal0,X71))|(r2_tarski(esk8_2(X64,X65),k1_surreal0(X64))|r2_hidden(esk6_2(X64,X65),k1_surreal0(X65))))|epred1_2(X65,X64)))))&((((((v2_surreal0(esk11_2(X64,X65))|(r2_hidden(esk9_2(X64,X65),k2_surreal0(X65))|(r1_surrealo(k11_surreal0,esk8_2(X64,X65))|r2_hidden(esk6_2(X64,X65),k1_surreal0(X65))))|epred1_2(X65,X64))&(esk10_2(X64,X65)=esk11_2(X64,X65)|(r2_hidden(esk9_2(X64,X65),k2_surreal0(X65))|(r1_surrealo(k11_surreal0,esk8_2(X64,X65))|r2_hidden(esk6_2(X64,X65),k1_surreal0(X65))))|epred1_2(X65,X64)))&(r2_tarski(esk11_2(X64,X65),k2_surreal0(X64))|(r2_hidden(esk9_2(X64,X65),k2_surreal0(X65))|(r1_surrealo(k11_surreal0,esk8_2(X64,X65))|r2_hidden(esk6_2(X64,X65),k1_surreal0(X65))))|epred1_2(X65,X64)))&(r1_surrealo(k11_surreal0,esk11_2(X64,X65))|(r2_hidden(esk9_2(X64,X65),k2_surreal0(X65))|(r1_surrealo(k11_surreal0,esk8_2(X64,X65))|r2_hidden(esk6_2(X64,X65),k1_surreal0(X65))))|epred1_2(X65,X64)))&(~r2_hidden(esk10_2(X64,X65),k2_surreal0(X65))|(r2_hidden(esk9_2(X64,X65),k2_surreal0(X65))|(r1_surrealo(k11_surreal0,esk8_2(X64,X65))|r2_hidden(esk6_2(X64,X65),k1_surreal0(X65))))|epred1_2(X65,X64)))&(((((v2_surreal0(esk11_2(X64,X65))|(~v2_surreal0(X71)|(esk9_2(X64,X65)!=X71|~r2_tarski(X71,k2_surreal0(X64))|~r1_surrealo(k11_surreal0,X71))|(r1_surrealo(k11_surreal0,esk8_2(X64,X65))|r2_hidden(esk6_2(X64,X65),k1_surreal0(X65))))|epred1_2(X65,X64))&(esk10_2(X64,X65)=esk11_2(X64,X65)|(~v2_surreal0(X71)|(esk9_2(X64,X65)!=X71|~r2_tarski(X71,k2_surreal0(X64))|~r1_surrealo(k11_surreal0,X71))|(r1_surrealo(k11_surreal0,esk8_2(X64,X65))|r2_hidden(esk6_2(X64,X65),k1_surreal0(X65))))|epred1_2(X65,X64)))&(r2_tarski(esk11_2(X64,X65),k2_surreal0(X64))|(~v2_surreal0(X71)|(esk9_2(X64,X65)!=X71|~r2_tarski(X71,k2_surreal0(X64))|~r1_surrealo(k11_surreal0,X71))|(r1_surrealo(k11_surreal0,esk8_2(X64,X65))|r2_hidden(esk6_2(X64,X65),k1_surreal0(X65))))|epred1_2(X65,X64)))&(r1_surrealo(k11_surreal0,esk11_2(X64,X65))|(~v2_surreal0(X71)|(esk9_2(X64,X65)!=X71|~r2_tarski(X71,k2_surreal0(X64))|~r1_surrealo(k11_surreal0,X71))|(r1_surrealo(k11_surreal0,esk8_2(X64,X65))|r2_hidden(esk6_2(X64,X65),k1_surreal0(X65))))|epred1_2(X65,X64)))&(~r2_hidden(esk10_2(X64,X65),k2_surreal0(X65))|(~v2_surreal0(X71)|(esk9_2(X64,X65)!=X71|~r2_tarski(X71,k2_surreal0(X64))|~r1_surrealo(k11_surreal0,X71))|(r1_surrealo(k11_surreal0,esk8_2(X64,X65))|r2_hidden(esk6_2(X64,X65),k1_surreal0(X65))))|epred1_2(X65,X64)))))&((((((v2_surreal0(esk11_2(X64,X65))|(r2_hidden(esk9_2(X64,X65),k2_surreal0(X65))|(~r2_hidden(esk7_2(X64,X65),k1_surreal0(X65))|r2_hidden(esk6_2(X64,X65),k1_surreal0(X65))))|epred1_2(X65,X64))&(esk10_2(X64,X65)=esk11_2(X64,X65)|(r2_hidden(esk9_2(X64,X65),k2_surreal0(X65))|(~r2_hidden(esk7_2(X64,X65),k1_surreal0(X65))|r2_hidden(esk6_2(X64,X65),k1_surreal0(X65))))|epred1_2(X65,X64)))&(r2_tarski(esk11_2(X64,X65),k2_surreal0(X64))|(r2_hidden(esk9_2(X64,X65),k2_surreal0(X65))|(~r2_hidden(esk7_2(X64,X65),k1_surreal0(X65))|r2_hidden(esk6_2(X64,X65),k1_surreal0(X65))))|epred1_2(X65,X64)))&(r1_surrealo(k11_surreal0,esk11_2(X64,X65))|(r2_hidden(esk9_2(X64,X65),k2_surreal0(X65))|(~r2_hidden(esk7_2(X64,X65),k1_surreal0(X65))|r2_hidden(esk6_2(X64,X65),k1_surreal0(X65))))|epred1_2(X65,X64)))&(~r2_hidden(esk10_2(X64,X65),k2_surreal0(X65))|(r2_hidden(esk9_2(X64,X65),k2_surreal0(X65))|(~r2_hidden(esk7_2(X64,X65),k1_surreal0(X65))|r2_hidden(esk6_2(X64,X65),k1_surreal0(X65))))|epred1_2(X65,X64)))&(((((v2_surreal0(esk11_2(X64,X65))|(~v2_surreal0(X71)|(esk9_2(X64,X65)!=X71|~r2_tarski(X71,k2_surreal0(X64))|~r1_surrealo(k11_surreal0,X71))|(~r2_hidden(esk7_2(X64,X65),k1_surreal0(X65))|r2_hidden(esk6_2(X64,X65),k1_surreal0(X65))))|epred1_2(X65,X64))&(esk10_2(X64,X65)=esk11_2(X64,X65)|(~v2_surreal0(X71)|(esk9_2(X64,X65)!=X71|~r2_tarski(X71,k2_surreal0(X64))|~r1_surrealo(k11_surreal0,X71))|(~r2_hidden(esk7_2(X64,X65),k1_surreal0(X65))|r2_hidden(esk6_2(X64,X65),k1_surreal0(X65))))|epred1_2(X65,X64)))&(r2_tarski(esk11_2(X64,X65),k2_surreal0(X64))|(~v2_surreal0(X71)|(esk9_2(X64,X65)!=X71|~r2_tarski(X71,k2_surreal0(X64))|~r1_surrealo(k11_surreal0,X71))|(~r2_hidden(esk7_2(X64,X65),k1_surreal0(X65))|r2_hidden(esk6_2(X64,X65),k1_surreal0(X65))))|epred1_2(X65,X64)))&(r1_surrealo(k11_surreal0,esk11_2(X64,X65))|(~v2_surreal0(X71)|(esk9_2(X64,X65)!=X71|~r2_tarski(X71,k2_surreal0(X64))|~r1_surrealo(k11_surreal0,X71))|(~r2_hidden(esk7_2(X64,X65),k1_surreal0(X65))|r2_hidden(esk6_2(X64,X65),k1_surreal0(X65))))|epred1_2(X65,X64)))&(~r2_hidden(esk10_2(X64,X65),k2_surreal0(X65))|(~v2_surreal0(X71)|(esk9_2(X64,X65)!=X71|~r2_tarski(X71,k2_surreal0(X64))|~r1_surrealo(k11_surreal0,X71))|(~r2_hidden(esk7_2(X64,X65),k1_surreal0(X65))|r2_hidden(esk6_2(X64,X65),k1_surreal0(X65))))|epred1_2(X65,X64)))))&((((((((((v2_surreal0(esk11_2(X64,X65))|(r2_hidden(esk9_2(X64,X65),k2_surreal0(X65))|(v2_surreal0(esk8_2(X64,X65))|(~v2_surreal0(X67)|(esk6_2(X64,X65)!=X67|~r2_tarski(X67,k1_surreal0(X64))|~r1_surrealo(k11_surreal0,X67)))))|epred1_2(X65,X64))&(esk10_2(X64,X65)=esk11_2(X64,X65)|(r2_hidden(esk9_2(X64,X65),k2_surreal0(X65))|(v2_surreal0(esk8_2(X64,X65))|(~v2_surreal0(X67)|(esk6_2(X64,X65)!=X67|~r2_tarski(X67,k1_surreal0(X64))|~r1_surrealo(k11_surreal0,X67)))))|epred1_2(X65,X64)))&(r2_tarski(esk11_2(X64,X65),k2_surreal0(X64))|(r2_hidden(esk9_2(X64,X65),k2_surreal0(X65))|(v2_surreal0(esk8_2(X64,X65))|(~v2_surreal0(X67)|(esk6_2(X64,X65)!=X67|~r2_tarski(X67,k1_surreal0(X64))|~r1_surrealo(k11_surreal0,X67)))))|epred1_2(X65,X64)))&(r1_surrealo(k11_surreal0,esk11_2(X64,X65))|(r2_hidden(esk9_2(X64,X65),k2_surreal0(X65))|(v2_surreal0(esk8_2(X64,X65))|(~v2_surreal0(X67)|(esk6_2(X64,X65)!=X67|~r2_tarski(X67,k1_surreal0(X64))|~r1_surrealo(k11_surreal0,X67)))))|epred1_2(X65,X64)))&(~r2_hidden(esk10_2(X64,X65),k2_surreal0(X65))|(r2_hidden(esk9_2(X64,X65),k2_surreal0(X65))|(v2_surreal0(esk8_2(X64,X65))|(~v2_surreal0(X67)|(esk6_2(X64,X65)!=X67|~r2_tarski(X67,k1_surreal0(X64))|~r1_surrealo(k11_surreal0,X67)))))|epred1_2(X65,X64)))&(((((v2_surreal0(esk11_2(X64,X65))|(~v2_surreal0(X71)|(esk9_2(X64,X65)!=X71|~r2_tarski(X71,k2_surreal0(X64))|~r1_surrealo(k11_surreal0,X71))|(v2_surreal0(esk8_2(X64,X65))|(~v2_surreal0(X67)|(esk6_2(X64,X65)!=X67|~r2_tarski(X67,k1_surreal0(X64))|~r1_surrealo(k11_surreal0,X67)))))|epred1_2(X65,X64))&(esk10_2(X64,X65)=esk11_2(X64,X65)|(~v2_surreal0(X71)|(esk9_2(X64,X65)!=X71|~r2_tarski(X71,k2_surreal0(X64))|~r1_surrealo(k11_surreal0,X71))|(v2_surreal0(esk8_2(X64,X65))|(~v2_surreal0(X67)|(esk6_2(X64,X65)!=X67|~r2_tarski(X67,k1_surreal0(X64))|~r1_surrealo(k11_surreal0,X67)))))|epred1_2(X65,X64)))&(r2_tarski(esk11_2(X64,X65),k2_surreal0(X64))|(~v2_surreal0(X71)|(esk9_2(X64,X65)!=X71|~r2_tarski(X71,k2_surreal0(X64))|~r1_surrealo(k11_surreal0,X71))|(v2_surreal0(esk8_2(X64,X65))|(~v2_surreal0(X67)|(esk6_2(X64,X65)!=X67|~r2_tarski(X67,k1_surreal0(X64))|~r1_surrealo(k11_surreal0,X67)))))|epred1_2(X65,X64)))&(r1_surrealo(k11_surreal0,esk11_2(X64,X65))|(~v2_surreal0(X71)|(esk9_2(X64,X65)!=X71|~r2_tarski(X71,k2_surreal0(X64))|~r1_surrealo(k11_surreal0,X71))|(v2_surreal0(esk8_2(X64,X65))|(~v2_surreal0(X67)|(esk6_2(X64,X65)!=X67|~r2_tarski(X67,k1_surreal0(X64))|~r1_surrealo(k11_surreal0,X67)))))|epred1_2(X65,X64)))&(~r2_hidden(esk10_2(X64,X65),k2_surreal0(X65))|(~v2_surreal0(X71)|(esk9_2(X64,X65)!=X71|~r2_tarski(X71,k2_surreal0(X64))|~r1_surrealo(k11_surreal0,X71))|(v2_surreal0(esk8_2(X64,X65))|(~v2_surreal0(X67)|(esk6_2(X64,X65)!=X67|~r2_tarski(X67,k1_surreal0(X64))|~r1_surrealo(k11_surreal0,X67)))))|epred1_2(X65,X64))))&((((((v2_surreal0(esk11_2(X64,X65))|(r2_hidden(esk9_2(X64,X65),k2_surreal0(X65))|(esk7_2(X64,X65)=esk8_2(X64,X65)|(~v2_surreal0(X67)|(esk6_2(X64,X65)!=X67|~r2_tarski(X67,k1_surreal0(X64))|~r1_surrealo(k11_surreal0,X67)))))|epred1_2(X65,X64))&(esk10_2(X64,X65)=esk11_2(X64,X65)|(r2_hidden(esk9_2(X64,X65),k2_surreal0(X65))|(esk7_2(X64,X65)=esk8_2(X64,X65)|(~v2_surreal0(X67)|(esk6_2(X64,X65)!=X67|~r2_tarski(X67,k1_surreal0(X64))|~r1_surrealo(k11_surreal0,X67)))))|epred1_2(X65,X64)))&(r2_tarski(esk11_2(X64,X65),k2_surreal0(X64))|(r2_hidden(esk9_2(X64,X65),k2_surreal0(X65))|(esk7_2(X64,X65)=esk8_2(X64,X65)|(~v2_surreal0(X67)|(esk6_2(X64,X65)!=X67|~r2_tarski(X67,k1_surreal0(X64))|~r1_surrealo(k11_surreal0,X67)))))|epred1_2(X65,X64)))&(r1_surrealo(k11_surreal0,esk11_2(X64,X65))|(r2_hidden(esk9_2(X64,X65),k2_surreal0(X65))|(esk7_2(X64,X65)=esk8_2(X64,X65)|(~v2_surreal0(X67)|(esk6_2(X64,X65)!=X67|~r2_tarski(X67,k1_surreal0(X64))|~r1_surrealo(k11_surreal0,X67)))))|epred1_2(X65,X64)))&(~r2_hidden(esk10_2(X64,X65),k2_surreal0(X65))|(r2_hidden(esk9_2(X64,X65),k2_surreal0(X65))|(esk7_2(X64,X65)=esk8_2(X64,X65)|(~v2_surreal0(X67)|(esk6_2(X64,X65)!=X67|~r2_tarski(X67,k1_surreal0(X64))|~r1_surrealo(k11_surreal0,X67)))))|epred1_2(X65,X64)))&(((((v2_surreal0(esk11_2(X64,X65))|(~v2_surreal0(X71)|(esk9_2(X64,X65)!=X71|~r2_tarski(X71,k2_surreal0(X64))|~r1_surrealo(k11_surreal0,X71))|(esk7_2(X64,X65)=esk8_2(X64,X65)|(~v2_surreal0(X67)|(esk6_2(X64,X65)!=X67|~r2_tarski(X67,k1_surreal0(X64))|~r1_surrealo(k11_surreal0,X67)))))|epred1_2(X65,X64))&(esk10_2(X64,X65)=esk11_2(X64,X65)|(~v2_surreal0(X71)|(esk9_2(X64,X65)!=X71|~r2_tarski(X71,k2_surreal0(X64))|~r1_surrealo(k11_surreal0,X71))|(esk7_2(X64,X65)=esk8_2(X64,X65)|(~v2_surreal0(X67)|(esk6_2(X64,X65)!=X67|~r2_tarski(X67,k1_surreal0(X64))|~r1_surrealo(k11_surreal0,X67)))))|epred1_2(X65,X64)))&(r2_tarski(esk11_2(X64,X65),k2_surreal0(X64))|(~v2_surreal0(X71)|(esk9_2(X64,X65)!=X71|~r2_tarski(X71,k2_surreal0(X64))|~r1_surrealo(k11_surreal0,X71))|(esk7_2(X64,X65)=esk8_2(X64,X65)|(~v2_surreal0(X67)|(esk6_2(X64,X65)!=X67|~r2_tarski(X67,k1_surreal0(X64))|~r1_surrealo(k11_surreal0,X67)))))|epred1_2(X65,X64)))&(r1_surrealo(k11_surreal0,esk11_2(X64,X65))|(~v2_surreal0(X71)|(esk9_2(X64,X65)!=X71|~r2_tarski(X71,k2_surreal0(X64))|~r1_surrealo(k11_surreal0,X71))|(esk7_2(X64,X65)=esk8_2(X64,X65)|(~v2_surreal0(X67)|(esk6_2(X64,X65)!=X67|~r2_tarski(X67,k1_surreal0(X64))|~r1_surrealo(k11_surreal0,X67)))))|epred1_2(X65,X64)))&(~r2_hidden(esk10_2(X64,X65),k2_surreal0(X65))|(~v2_surreal0(X71)|(esk9_2(X64,X65)!=X71|~r2_tarski(X71,k2_surreal0(X64))|~r1_surrealo(k11_surreal0,X71))|(esk7_2(X64,X65)=esk8_2(X64,X65)|(~v2_surreal0(X67)|(esk6_2(X64,X65)!=X67|~r2_tarski(X67,k1_surreal0(X64))|~r1_surrealo(k11_surreal0,X67)))))|epred1_2(X65,X64)))))&((((((v2_surreal0(esk11_2(X64,X65))|(r2_hidden(esk9_2(X64,X65),k2_surreal0(X65))|(r2_tarski(esk8_2(X64,X65),k1_surreal0(X64))|(~v2_surreal0(X67)|(esk6_2(X64,X65)!=X67|~r2_tarski(X67,k1_surreal0(X64))|~r1_surrealo(k11_surreal0,X67)))))|epred1_2(X65,X64))&(esk10_2(X64,X65)=esk11_2(X64,X65)|(r2_hidden(esk9_2(X64,X65),k2_surreal0(X65))|(r2_tarski(esk8_2(X64,X65),k1_surreal0(X64))|(~v2_surreal0(X67)|(esk6_2(X64,X65)!=X67|~r2_tarski(X67,k1_surreal0(X64))|~r1_surrealo(k11_surreal0,X67)))))|epred1_2(X65,X64)))&(r2_tarski(esk11_2(X64,X65),k2_surreal0(X64))|(r2_hidden(esk9_2(X64,X65),k2_surreal0(X65))|(r2_tarski(esk8_2(X64,X65),k1_surreal0(X64))|(~v2_surreal0(X67)|(esk6_2(X64,X65)!=X67|~r2_tarski(X67,k1_surreal0(X64))|~r1_surrealo(k11_surreal0,X67)))))|epred1_2(X65,X64)))&(r1_surrealo(k11_surreal0,esk11_2(X64,X65))|(r2_hidden(esk9_2(X64,X65),k2_surreal0(X65))|(r2_tarski(esk8_2(X64,X65),k1_surreal0(X64))|(~v2_surreal0(X67)|(esk6_2(X64,X65)!=X67|~r2_tarski(X67,k1_surreal0(X64))|~r1_surrealo(k11_surreal0,X67)))))|epred1_2(X65,X64)))&(~r2_hidden(esk10_2(X64,X65),k2_surreal0(X65))|(r2_hidden(esk9_2(X64,X65),k2_surreal0(X65))|(r2_tarski(esk8_2(X64,X65),k1_surreal0(X64))|(~v2_surreal0(X67)|(esk6_2(X64,X65)!=X67|~r2_tarski(X67,k1_surreal0(X64))|~r1_surrealo(k11_surreal0,X67)))))|epred1_2(X65,X64)))&(((((v2_surreal0(esk11_2(X64,X65))|(~v2_surreal0(X71)|(esk9_2(X64,X65)!=X71|~r2_tarski(X71,k2_surreal0(X64))|~r1_surrealo(k11_surreal0,X71))|(r2_tarski(esk8_2(X64,X65),k1_surreal0(X64))|(~v2_surreal0(X67)|(esk6_2(X64,X65)!=X67|~r2_tarski(X67,k1_surreal0(X64))|~r1_surrealo(k11_surreal0,X67)))))|epred1_2(X65,X64))&(esk10_2(X64,X65)=esk11_2(X64,X65)|(~v2_surreal0(X71)|(esk9_2(X64,X65)!=X71|~r2_tarski(X71,k2_surreal0(X64))|~r1_surrealo(k11_surreal0,X71))|(r2_tarski(esk8_2(X64,X65),k1_surreal0(X64))|(~v2_surreal0(X67)|(esk6_2(X64,X65)!=X67|~r2_tarski(X67,k1_surreal0(X64))|~r1_surrealo(k11_surreal0,X67)))))|epred1_2(X65,X64)))&(r2_tarski(esk11_2(X64,X65),k2_surreal0(X64))|(~v2_surreal0(X71)|(esk9_2(X64,X65)!=X71|~r2_tarski(X71,k2_surreal0(X64))|~r1_surrealo(k11_surreal0,X71))|(r2_tarski(esk8_2(X64,X65),k1_surreal0(X64))|(~v2_surreal0(X67)|(esk6_2(X64,X65)!=X67|~r2_tarski(X67,k1_surreal0(X64))|~r1_surrealo(k11_surreal0,X67)))))|epred1_2(X65,X64)))&(r1_surrealo(k11_surreal0,esk11_2(X64,X65))|(~v2_surreal0(X71)|(esk9_2(X64,X65)!=X71|~r2_tarski(X71,k2_surreal0(X64))|~r1_surrealo(k11_surreal0,X71))|(r2_tarski(esk8_2(X64,X65),k1_surreal0(X64))|(~v2_surreal0(X67)|(esk6_2(X64,X65)!=X67|~r2_tarski(X67,k1_surreal0(X64))|~r1_surrealo(k11_surreal0,X67)))))|epred1_2(X65,X64)))&(~r2_hidden(esk10_2(X64,X65),k2_surreal0(X65))|(~v2_surreal0(X71)|(esk9_2(X64,X65)!=X71|~r2_tarski(X71,k2_surreal0(X64))|~r1_surrealo(k11_surreal0,X71))|(r2_tarski(esk8_2(X64,X65),k1_surreal0(X64))|(~v2_surreal0(X67)|(esk6_2(X64,X65)!=X67|~r2_tarski(X67,k1_surreal0(X64))|~r1_surrealo(k11_surreal0,X67)))))|epred1_2(X65,X64)))))&((((((v2_surreal0(esk11_2(X64,X65))|(r2_hidden(esk9_2(X64,X65),k2_surreal0(X65))|(r1_surrealo(k11_surreal0,esk8_2(X64,X65))|(~v2_surreal0(X67)|(esk6_2(X64,X65)!=X67|~r2_tarski(X67,k1_surreal0(X64))|~r1_surrealo(k11_surreal0,X67)))))|epred1_2(X65,X64))&(esk10_2(X64,X65)=esk11_2(X64,X65)|(r2_hidden(esk9_2(X64,X65),k2_surreal0(X65))|(r1_surrealo(k11_surreal0,esk8_2(X64,X65))|(~v2_surreal0(X67)|(esk6_2(X64,X65)!=X67|~r2_tarski(X67,k1_surreal0(X64))|~r1_surrealo(k11_surreal0,X67)))))|epred1_2(X65,X64)))&(r2_tarski(esk11_2(X64,X65),k2_surreal0(X64))|(r2_hidden(esk9_2(X64,X65),k2_surreal0(X65))|(r1_surrealo(k11_surreal0,esk8_2(X64,X65))|(~v2_surreal0(X67)|(esk6_2(X64,X65)!=X67|~r2_tarski(X67,k1_surreal0(X64))|~r1_surrealo(k11_surreal0,X67)))))|epred1_2(X65,X64)))&(r1_surrealo(k11_surreal0,esk11_2(X64,X65))|(r2_hidden(esk9_2(X64,X65),k2_surreal0(X65))|(r1_surrealo(k11_surreal0,esk8_2(X64,X65))|(~v2_surreal0(X67)|(esk6_2(X64,X65)!=X67|~r2_tarski(X67,k1_surreal0(X64))|~r1_surrealo(k11_surreal0,X67)))))|epred1_2(X65,X64)))&(~r2_hidden(esk10_2(X64,X65),k2_surreal0(X65))|(r2_hidden(esk9_2(X64,X65),k2_surreal0(X65))|(r1_surrealo(k11_surreal0,esk8_2(X64,X65))|(~v2_surreal0(X67)|(esk6_2(X64,X65)!=X67|~r2_tarski(X67,k1_surreal0(X64))|~r1_surrealo(k11_surreal0,X67)))))|epred1_2(X65,X64)))&(((((v2_surreal0(esk11_2(X64,X65))|(~v2_surreal0(X71)|(esk9_2(X64,X65)!=X71|~r2_tarski(X71,k2_surreal0(X64))|~r1_surrealo(k11_surreal0,X71))|(r1_surrealo(k11_surreal0,esk8_2(X64,X65))|(~v2_surreal0(X67)|(esk6_2(X64,X65)!=X67|~r2_tarski(X67,k1_surreal0(X64))|~r1_surrealo(k11_surreal0,X67)))))|epred1_2(X65,X64))&(esk10_2(X64,X65)=esk11_2(X64,X65)|(~v2_surreal0(X71)|(esk9_2(X64,X65)!=X71|~r2_tarski(X71,k2_surreal0(X64))|~r1_surrealo(k11_surreal0,X71))|(r1_surrealo(k11_surreal0,esk8_2(X64,X65))|(~v2_surreal0(X67)|(esk6_2(X64,X65)!=X67|~r2_tarski(X67,k1_surreal0(X64))|~r1_surrealo(k11_surreal0,X67)))))|epred1_2(X65,X64)))&(r2_tarski(esk11_2(X64,X65),k2_surreal0(X64))|(~v2_surreal0(X71)|(esk9_2(X64,X65)!=X71|~r2_tarski(X71,k2_surreal0(X64))|~r1_surrealo(k11_surreal0,X71))|(r1_surrealo(k11_surreal0,esk8_2(X64,X65))|(~v2_surreal0(X67)|(esk6_2(X64,X65)!=X67|~r2_tarski(X67,k1_surreal0(X64))|~r1_surrealo(k11_surreal0,X67)))))|epred1_2(X65,X64)))&(r1_surrealo(k11_surreal0,esk11_2(X64,X65))|(~v2_surreal0(X71)|(esk9_2(X64,X65)!=X71|~r2_tarski(X71,k2_surreal0(X64))|~r1_surrealo(k11_surreal0,X71))|(r1_surrealo(k11_surreal0,esk8_2(X64,X65))|(~v2_surreal0(X67)|(esk6_2(X64,X65)!=X67|~r2_tarski(X67,k1_surreal0(X64))|~r1_surrealo(k11_surreal0,X67)))))|epred1_2(X65,X64)))&(~r2_hidden(esk10_2(X64,X65),k2_surreal0(X65))|(~v2_surreal0(X71)|(esk9_2(X64,X65)!=X71|~r2_tarski(X71,k2_surreal0(X64))|~r1_surrealo(k11_surreal0,X71))|(r1_surrealo(k11_surreal0,esk8_2(X64,X65))|(~v2_surreal0(X67)|(esk6_2(X64,X65)!=X67|~r2_tarski(X67,k1_surreal0(X64))|~r1_surrealo(k11_surreal0,X67)))))|epred1_2(X65,X64)))))&((((((v2_surreal0(esk11_2(X64,X65))|(r2_hidden(esk9_2(X64,X65),k2_surreal0(X65))|(~r2_hidden(esk7_2(X64,X65),k1_surreal0(X65))|(~v2_surreal0(X67)|(esk6_2(X64,X65)!=X67|~r2_tarski(X67,k1_surreal0(X64))|~r1_surrealo(k11_surreal0,X67)))))|epred1_2(X65,X64))&(esk10_2(X64,X65)=esk11_2(X64,X65)|(r2_hidden(esk9_2(X64,X65),k2_surreal0(X65))|(~r2_hidden(esk7_2(X64,X65),k1_surreal0(X65))|(~v2_surreal0(X67)|(esk6_2(X64,X65)!=X67|~r2_tarski(X67,k1_surreal0(X64))|~r1_surrealo(k11_surreal0,X67)))))|epred1_2(X65,X64)))&(r2_tarski(esk11_2(X64,X65),k2_surreal0(X64))|(r2_hidden(esk9_2(X64,X65),k2_surreal0(X65))|(~r2_hidden(esk7_2(X64,X65),k1_surreal0(X65))|(~v2_surreal0(X67)|(esk6_2(X64,X65)!=X67|~r2_tarski(X67,k1_surreal0(X64))|~r1_surrealo(k11_surreal0,X67)))))|epred1_2(X65,X64)))&(r1_surrealo(k11_surreal0,esk11_2(X64,X65))|(r2_hidden(esk9_2(X64,X65),k2_surreal0(X65))|(~r2_hidden(esk7_2(X64,X65),k1_surreal0(X65))|(~v2_surreal0(X67)|(esk6_2(X64,X65)!=X67|~r2_tarski(X67,k1_surreal0(X64))|~r1_surrealo(k11_surreal0,X67)))))|epred1_2(X65,X64)))&(~r2_hidden(esk10_2(X64,X65),k2_surreal0(X65))|(r2_hidden(esk9_2(X64,X65),k2_surreal0(X65))|(~r2_hidden(esk7_2(X64,X65),k1_surreal0(X65))|(~v2_surreal0(X67)|(esk6_2(X64,X65)!=X67|~r2_tarski(X67,k1_surreal0(X64))|~r1_surrealo(k11_surreal0,X67)))))|epred1_2(X65,X64)))&(((((v2_surreal0(esk11_2(X64,X65))|(~v2_surreal0(X71)|(esk9_2(X64,X65)!=X71|~r2_tarski(X71,k2_surreal0(X64))|~r1_surrealo(k11_surreal0,X71))|(~r2_hidden(esk7_2(X64,X65),k1_surreal0(X65))|(~v2_surreal0(X67)|(esk6_2(X64,X65)!=X67|~r2_tarski(X67,k1_surreal0(X64))|~r1_surrealo(k11_surreal0,X67)))))|epred1_2(X65,X64))&(esk10_2(X64,X65)=esk11_2(X64,X65)|(~v2_surreal0(X71)|(esk9_2(X64,X65)!=X71|~r2_tarski(X71,k2_surreal0(X64))|~r1_surrealo(k11_surreal0,X71))|(~r2_hidden(esk7_2(X64,X65),k1_surreal0(X65))|(~v2_surreal0(X67)|(esk6_2(X64,X65)!=X67|~r2_tarski(X67,k1_surreal0(X64))|~r1_surrealo(k11_surreal0,X67)))))|epred1_2(X65,X64)))&(r2_tarski(esk11_2(X64,X65),k2_surreal0(X64))|(~v2_surreal0(X71)|(esk9_2(X64,X65)!=X71|~r2_tarski(X71,k2_surreal0(X64))|~r1_surrealo(k11_surreal0,X71))|(~r2_hidden(esk7_2(X64,X65),k1_surreal0(X65))|(~v2_surreal0(X67)|(esk6_2(X64,X65)!=X67|~r2_tarski(X67,k1_surreal0(X64))|~r1_surrealo(k11_surreal0,X67)))))|epred1_2(X65,X64)))&(r1_surrealo(k11_surreal0,esk11_2(X64,X65))|(~v2_surreal0(X71)|(esk9_2(X64,X65)!=X71|~r2_tarski(X71,k2_surreal0(X64))|~r1_surrealo(k11_surreal0,X71))|(~r2_hidden(esk7_2(X64,X65),k1_surreal0(X65))|(~v2_surreal0(X67)|(esk6_2(X64,X65)!=X67|~r2_tarski(X67,k1_surreal0(X64))|~r1_surrealo(k11_surreal0,X67)))))|epred1_2(X65,X64)))&(~r2_hidden(esk10_2(X64,X65),k2_surreal0(X65))|(~v2_surreal0(X71)|(esk9_2(X64,X65)!=X71|~r2_tarski(X71,k2_surreal0(X64))|~r1_surrealo(k11_surreal0,X71))|(~r2_hidden(esk7_2(X64,X65),k1_surreal0(X65))|(~v2_surreal0(X67)|(esk6_2(X64,X65)!=X67|~r2_tarski(X67,k1_surreal0(X64))|~r1_surrealo(k11_surreal0,X67)))))|epred1_2(X65,X64))))))), 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_14])])])])])])).
fof(c_0_16, plain, ![X48, X49]:((~r2_tarski(X48,X49)|r2_hidden(X48,X49))&(~r2_hidden(X48,X49)|r2_tarski(X48,X49))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_r2_tarski])])).
fof(c_0_17, plain, ![X33, X34, X35, X36, X37, X38]:((~r7_surreal0(X33,X34)|(~v2_surreal0(X35)|(~v2_surreal0(X36)|(~r2_tarski(X35,X33)|~r2_tarski(X36,X34)|~r5_surreal0(X36,X35)))))&((v2_surreal0(esk2_2(X37,X38))|r7_surreal0(X37,X38))&((v2_surreal0(esk3_2(X37,X38))|r7_surreal0(X37,X38))&(((r2_tarski(esk2_2(X37,X38),X37)|r7_surreal0(X37,X38))&(r2_tarski(esk3_2(X37,X38),X38)|r7_surreal0(X37,X38)))&(r5_surreal0(esk3_2(X37,X38),esk2_2(X37,X38))|r7_surreal0(X37,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)],[d20_surreal0])])])])])])).
fof(c_0_18, axiom, ![X1, X2]:(v1_xtuple_0(X2)=>(X2=k1_surreals(X1)<=>epred1_2(X2,X1))), inference(apply_def,[status(thm)],[d1_surreals, c_0_14])).
cnf(c_0_19, plain, (r2_tarski(esk5_3(X1,X2,X3),k2_surreal0(X1))|~r2_hidden(X3,k2_surreal0(X2))|~epred1_2(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_15])).
cnf(c_0_20, plain, (X1=esk5_3(X2,X3,X1)|~r2_hidden(X1,k2_surreal0(X3))|~epred1_2(X3,X2)), inference(split_conjunct,[status(thm)],[c_0_15])).
cnf(c_0_21, plain, (r2_hidden(X1,X2)|~r2_tarski(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_16])).
cnf(c_0_22, plain, (r2_tarski(esk3_2(X1,X2),X2)|r7_surreal0(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_17])).
fof(c_0_23, plain, ![X31, X32]:((X32!=k1_surreals(X31)|epred1_2(X32,X31)|~v1_xtuple_0(X32))&(~epred1_2(X32,X31)|X32=k1_surreals(X31)|~v1_xtuple_0(X32))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_18])])])).
fof(c_0_24, plain, ![X41]:v1_xtuple_0(k1_surreals(X41)), inference(variable_rename,[status(thm)],[dt_k1_surreals])).
cnf(c_0_25, plain, (~r7_surreal0(X1,X2)|~v2_surreal0(X3)|~v2_surreal0(X4)|~r2_tarski(X3,X1)|~r2_tarski(X4,X2)|~r5_surreal0(X4,X3)), inference(split_conjunct,[status(thm)],[c_0_17])).
cnf(c_0_26, plain, (r5_surreal0(esk3_2(X1,X2),esk2_2(X1,X2))|r7_surreal0(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_17])).
cnf(c_0_27, plain, (v2_surreal0(esk2_2(X1,X2))|r7_surreal0(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_17])).
cnf(c_0_28, plain, (v2_surreal0(esk3_2(X1,X2))|r7_surreal0(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_17])).
cnf(c_0_29, plain, (r2_tarski(X1,k2_surreal0(X2))|~epred1_2(X3,X2)|~r2_hidden(X1,k2_surreal0(X3))), inference(spm,[status(thm)],[c_0_19, c_0_20])).
cnf(c_0_30, plain, (r7_surreal0(X1,X2)|r2_hidden(esk3_2(X1,X2),X2)), inference(spm,[status(thm)],[c_0_21, c_0_22])).
cnf(c_0_31, plain, (epred1_2(X1,X2)|X1!=k1_surreals(X2)|~v1_xtuple_0(X1)), inference(split_conjunct,[status(thm)],[c_0_23])).
cnf(c_0_32, plain, (v1_xtuple_0(k1_surreals(X1))), inference(split_conjunct,[status(thm)],[c_0_24])).
cnf(c_0_33, plain, (r7_surreal0(X1,X2)|~r7_surreal0(X3,X4)|~r2_tarski(esk3_2(X1,X2),X4)|~r2_tarski(esk2_2(X1,X2),X3)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_25, c_0_26]), c_0_27]), c_0_28])).
cnf(c_0_34, plain, (r2_tarski(X1,X2)|~r2_hidden(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_16])).
cnf(c_0_35, plain, (r7_surreal0(X1,k2_surreal0(X2))|r2_tarski(esk3_2(X1,k2_surreal0(X2)),k2_surreal0(X3))|~epred1_2(X2,X3)), inference(spm,[status(thm)],[c_0_29, c_0_30])).
cnf(c_0_36, plain, (epred1_2(k1_surreals(X1),X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_31]), c_0_32])])).
cnf(c_0_37, plain, (r7_surreal0(X1,X2)|~r7_surreal0(X3,X4)|~r2_tarski(esk2_2(X1,X2),X3)|~r2_hidden(esk3_2(X1,X2),X4)), inference(spm,[status(thm)],[c_0_33, c_0_34])).
cnf(c_0_38, plain, (r2_tarski(esk2_2(X1,X2),X1)|r7_surreal0(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_17])).
cnf(c_0_39, plain, (r7_surreal0(X1,k2_surreal0(k1_surreals(X2)))|r2_tarski(esk3_2(X1,k2_surreal0(k1_surreals(X2))),k2_surreal0(X2))), inference(spm,[status(thm)],[c_0_35, c_0_36])).
fof(c_0_40, plain, ![X43, X44]:k1_xtuple_0(k4_tarski(X43,X44))=X43, inference(variable_rename,[status(thm)],[rd1_xtuple_0])).
fof(c_0_41, plain, ![X45]:k1_surreal0(X45)=k1_xtuple_0(X45), inference(variable_rename,[status(thm)],[redefinition_k1_surreal0])).
fof(c_0_42, plain, ![X52, X53]:(~r2_tarski(X52,X53)|~v1_xboole_0(X53)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t7_boole])])).
fof(c_0_43, plain, ![X50, X51]:(((r7_surreal0(k1_surreal0(X50),k1_tarski(X51))|~r5_surreal0(X50,X51)|~v2_surreal0(X51)|~v2_surreal0(X50))&(r7_surreal0(k1_tarski(X50),k2_surreal0(X51))|~r5_surreal0(X50,X51)|~v2_surreal0(X51)|~v2_surreal0(X50)))&(~r7_surreal0(k1_surreal0(X50),k1_tarski(X51))|~r7_surreal0(k1_tarski(X50),k2_surreal0(X51))|r5_surreal0(X50,X51)|~v2_surreal0(X51)|~v2_surreal0(X50))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t43_surreal0])])])])).
cnf(c_0_44, plain, (r7_surreal0(X1,X2)|~r7_surreal0(X1,X3)|~r2_hidden(esk3_2(X1,X2),X3)), inference(spm,[status(thm)],[c_0_37, c_0_38])).
cnf(c_0_45, plain, (r7_surreal0(X1,k2_surreal0(k1_surreals(X2)))|r2_hidden(esk3_2(X1,k2_surreal0(k1_surreals(X2))),k2_surreal0(X2))), inference(spm,[status(thm)],[c_0_21, c_0_39])).
cnf(c_0_46, plain, (k1_xtuple_0(k4_tarski(X1,X2))=X1), inference(split_conjunct,[status(thm)],[c_0_40])).
cnf(c_0_47, plain, (k1_surreal0(X1)=k1_xtuple_0(X1)), inference(split_conjunct,[status(thm)],[c_0_41])).
cnf(c_0_48, plain, (~r2_tarski(X1,X2)|~v1_xboole_0(X2)), inference(split_conjunct,[status(thm)],[c_0_42])).
cnf(c_0_49, plain, (r5_surreal0(X1,X2)|~r7_surreal0(k1_surreal0(X1),k1_tarski(X2))|~r7_surreal0(k1_tarski(X1),k2_surreal0(X2))|~v2_surreal0(X2)|~v2_surreal0(X1)), inference(split_conjunct,[status(thm)],[c_0_43])).
cnf(c_0_50, plain, (r7_surreal0(X1,k2_surreal0(k1_surreals(X2)))|~r7_surreal0(X1,k2_surreal0(X2))), inference(spm,[status(thm)],[c_0_44, c_0_45])).
cnf(c_0_51, plain, (k1_surreal0(k4_tarski(X1,X2))=X1), inference(rw,[status(thm)],[c_0_46, c_0_47])).
cnf(c_0_52, plain, (k11_surreal0=k4_tarski(k1_xboole_0,k1_xboole_0)), inference(split_conjunct,[status(thm)],[d15_surreal0])).
cnf(c_0_53, plain, (r7_surreal0(X1,X2)|~v1_xboole_0(X1)), inference(spm,[status(thm)],[c_0_48, c_0_38])).
cnf(c_0_54, plain, (v1_xboole_0(k1_xboole_0)), inference(split_conjunct,[status(thm)],[fc1_xboole_0])).
cnf(c_0_55, plain, (r5_surreal0(X1,k1_surreals(X2))|~r7_surreal0(k1_surreal0(X1),k1_tarski(k1_surreals(X2)))|~r7_surreal0(k1_tarski(X1),k2_surreal0(X2))|~v2_surreal0(k1_surreals(X2))|~v2_surreal0(X1)), inference(spm,[status(thm)],[c_0_49, c_0_50])).
cnf(c_0_56, plain, (k1_surreal0(k11_surreal0)=k1_xboole_0), inference(spm,[status(thm)],[c_0_51, c_0_52])).
cnf(c_0_57, plain, (r7_surreal0(k1_xboole_0,X1)), inference(spm,[status(thm)],[c_0_53, c_0_54])).
cnf(c_0_58, plain, (v2_surreal0(k11_surreal0)), inference(split_conjunct,[status(thm)],[dt_k11_surreal0])).
fof(c_0_59, plain, ![X42]:((v1_xtuple_0(k1_surreals(X42))|~v2_surreal0(X42))&(v2_surreal0(k1_surreals(X42))|~v2_surreal0(X42))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc3_surreals])])])).
fof(c_0_60, negated_conjecture, ~(![X1]:(v2_surreal0(X1)=>(r1_surrealo(k11_surreal0,X1)=>r1_surrealo(k11_surreal0,k1_surreals(X1))))), inference(assume_negation,[status(cth)],[t4_surreals])).
fof(c_0_61, plain, ![X46, X47]:((~r1_surrealo(X46,X47)|r5_surreal0(X46,X47)|(~v2_surreal0(X46)|~v2_surreal0(X47)))&(~r5_surreal0(X46,X47)|r1_surrealo(X46,X47)|(~v2_surreal0(X46)|~v2_surreal0(X47)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_r1_surrealo])])])).
cnf(c_0_62, plain, (r5_surreal0(k11_surreal0,k1_surreals(X1))|~r7_surreal0(k1_tarski(k11_surreal0),k2_surreal0(X1))|~v2_surreal0(k1_surreals(X1))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55, c_0_56]), c_0_57]), c_0_58])])).
cnf(c_0_63, plain, (r7_surreal0(k1_tarski(X1),k2_surreal0(X2))|~r5_surreal0(X1,X2)|~v2_surreal0(X2)|~v2_surreal0(X1)), inference(split_conjunct,[status(thm)],[c_0_43])).
cnf(c_0_64, plain, (v2_surreal0(k1_surreals(X1))|~v2_surreal0(X1)), inference(split_conjunct,[status(thm)],[c_0_59])).
fof(c_0_65, negated_conjecture, (v2_surreal0(esk1_0)&(r1_surrealo(k11_surreal0,esk1_0)&~r1_surrealo(k11_surreal0,k1_surreals(esk1_0)))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_60])])])).
cnf(c_0_66, plain, (r1_surrealo(X1,X2)|~r5_surreal0(X1,X2)|~v2_surreal0(X1)|~v2_surreal0(X2)), inference(split_conjunct,[status(thm)],[c_0_61])).
cnf(c_0_67, plain, (r5_surreal0(k11_surreal0,k1_surreals(X1))|~r5_surreal0(k11_surreal0,X1)|~v2_surreal0(X1)), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62, c_0_63]), c_0_58])]), c_0_64])).
cnf(c_0_68, negated_conjecture, (~r1_surrealo(k11_surreal0,k1_surreals(esk1_0))), inference(split_conjunct,[status(thm)],[c_0_65])).
cnf(c_0_69, plain, (r1_surrealo(k11_surreal0,k1_surreals(X1))|~r5_surreal0(k11_surreal0,X1)|~v2_surreal0(X1)), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66, c_0_67]), c_0_58])]), c_0_64])).
cnf(c_0_70, negated_conjecture, (v2_surreal0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_65])).
cnf(c_0_71, negated_conjecture, (~r5_surreal0(k11_surreal0,esk1_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68, c_0_69]), c_0_70])])).
cnf(c_0_72, plain, (r5_surreal0(X1,X2)|~r1_surrealo(X1,X2)|~v2_surreal0(X1)|~v2_surreal0(X2)), inference(split_conjunct,[status(thm)],[c_0_61])).
cnf(c_0_73, negated_conjecture, (r1_surrealo(k11_surreal0,esk1_0)), inference(split_conjunct,[status(thm)],[c_0_65])).
cnf(c_0_74, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71, c_0_72]), c_0_73]), c_0_70]), c_0_58])]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 75
# Proof object clause steps            : 46
# Proof object formula steps           : 29
# Proof object conjectures             : 8
# Proof object clause conjectures      : 5
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 26
# Proof object initial formulas used   : 14
# Proof object generating inferences   : 18
# Proof object simplifying inferences  : 21
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 14
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 137
# Removed in clause preprocessing      : 1
# Initial clauses in saturation        : 136
# Processed clauses                    : 9297
# ...of these trivial                  : 182
# ...subsumed                          : 5104
# ...remaining for further processing  : 4011
# Other redundant clauses eliminated   : 103
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 151
# Backward-rewritten                   : 18
# Generated clauses                    : 37783
# ...of the previous two non-trivial   : 34940
# Contextual simplify-reflections      : 245
# Paramodulations                      : 37705
# 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  : 3629
#    Positive orientable unit clauses  : 165
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 69
#    Non-unit-clauses                  : 3395
# Current number of unprocessed clauses: 25762
# ...number of literals in the above   : 146814
# Current number of archived formulas  : 0
# Current number of archived clauses   : 305
# Clause-clause subsumption calls (NU) : 2188773
# Rec. Clause-clause subsumption calls : 143844
# Non-unit clause-clause subsumptions  : 4469
# Unit Clause-clause subsumption calls : 38432
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 9922
# BW rewrite match successes           : 14
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 1213774

# -------------------------------------------------
# User time                : 1.400 s
# System time              : 0.066 s
# Total time               : 1.466 s
# Maximum resident set size: 3568 pages
