# 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       : 0.019 s
# Presaturation interreduction done

# Failure: User resource limit exceeded!
# Parsed axioms                        : 12
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 30
# Removed in clause preprocessing      : 2
# Initial clauses in saturation        : 28
# Processed clauses                    : 6693
# ...of these trivial                  : 0
# ...subsumed                          : 781
# ...remaining for further processing  : 5912
# Other redundant clauses eliminated   : 11
# Clauses deleted for lack of memory   : 70
# Backward-subsumed                    : 23
# Backward-rewritten                   : 0
# Generated clauses                    : 5710985
# ...of the previous two non-trivial   : 5710981
# Contextual simplify-reflections      : 116
# Paramodulations                      : 5710970
# Factorizations                       : 0
# NegExts                              : 0
# Equation resolutions                 : 15
# Propositional unsat checks           : 1
#    Propositional check models        : 1
#    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       : 8.667
#    Propositional solver time         : 0.113
#    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  : 5850
#    Positive orientable unit clauses  : 5
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 0
#    Non-unit-clauses                  : 5845
# Current number of unprocessed clauses: 987516
# ...number of literals in the above   : 3703336
# Current number of archived formulas  : 0
# Current number of archived clauses   : 53
# Clause-clause subsumption calls (NU) : 6914587
# Rec. Clause-clause subsumption calls : 3979990
# Non-unit clause-clause subsumptions  : 920
# Unit Clause-clause subsumption calls : 0
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 0
# BW rewrite match successes           : 0
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 396479007
# No success with AutoSched0
# Trying AutoSched1 for 71 seconds
# AutoSched1-Mode selected heuristic G_E___301_C18_F1_URBAN_S5PRR_S0Y
# and selection function SelectMaxLComplexAvoidPosPred.
#
# Preprocessing time       : 0.030 s

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(d3_surreals, axiom, ![X1]:(v1_xtuple_0(X1)=>![X2, X3]:((v1_relat_1(X3)&v1_funct_1(X3))=>(X3=k3_surreals(X1,X2)<=>((k9_xtuple_0(X3)=k4_ordinal1&k1_funct_1(X3,k5_numbers)=X1)&![X4]:(v7_ordinal1(X4)=>((v1_xtuple_0(k1_funct_1(X3,X4))&k1_xtuple_0(k1_funct_1(X3,k1_nat_1(X4,np__1)))=k2_xboole_0(k1_surreal0(k1_funct_1(X3,X4)),k2_surreals(X2,k1_surreal0(k1_funct_1(X3,X4)),k2_surreal0(k1_funct_1(X3,X4)))))&k2_xtuple_0(k1_funct_1(X3,k1_nat_1(X4,np__1)))=k2_xboole_0(k2_xboole_0(k2_surreal0(k1_funct_1(X3,X4)),k2_surreals(X2,k1_surreal0(k1_funct_1(X3,X4)),k1_surreal0(k1_funct_1(X3,X4)))),k2_surreals(X2,k2_surreal0(k1_funct_1(X3,X4)),k2_surreal0(k1_funct_1(X3,X4)))))))))), file('surreals/surreals__t8_surreals', d3_surreals)).
fof(redefinition_k1_surreal0, axiom, ![X1]:k1_surreal0(X1)=k1_xtuple_0(X1), file('surreals/surreals__t8_surreals', redefinition_k1_surreal0)).
fof(redefinition_k2_surreal0, axiom, ![X1]:k2_surreal0(X1)=k2_xtuple_0(X1), file('surreals/surreals__t8_surreals', redefinition_k2_surreal0)).
fof(d5_surreals, axiom, ![X1]:(v1_xtuple_0(X1)=>![X2, X3]:((v1_relat_1(X3)&v1_funct_1(X3))=>(X3=k5_surreals(X1,X2)<=>(k9_xtuple_0(X3)=k4_ordinal1&![X4]:(v7_ordinal1(X4)=>k1_funct_1(X3,X4)=k2_xtuple_0(k1_funct_1(k3_surreals(X1,X2),X4))))))), file('surreals/surreals__t8_surreals', d5_surreals)).
fof(dt_k3_surreals, axiom, ![X1, X2]:(v1_xtuple_0(X1)=>(v1_relat_1(k3_surreals(X1,X2))&v1_funct_1(k3_surreals(X1,X2)))), file('surreals/surreals__t8_surreals', dt_k3_surreals)).
fof(dt_k5_surreals, axiom, ![X1, X2]:(v1_xtuple_0(X1)=>(v1_relat_1(k5_surreals(X1,X2))&v1_funct_1(k5_surreals(X1,X2)))), file('surreals/surreals__t8_surreals', dt_k5_surreals)).
fof(d4_surreals, axiom, ![X1]:(v1_xtuple_0(X1)=>![X2, X3]:((v1_relat_1(X3)&v1_funct_1(X3))=>(X3=k4_surreals(X1,X2)<=>(k9_xtuple_0(X3)=k4_ordinal1&![X4]:(v7_ordinal1(X4)=>k1_funct_1(X3,X4)=k1_xtuple_0(k1_funct_1(k3_surreals(X1,X2),X4))))))), file('surreals/surreals__t8_surreals', d4_surreals)).
fof(dt_k4_surreals, axiom, ![X1, X2]:(v1_xtuple_0(X1)=>(v1_relat_1(k4_surreals(X1,X2))&v1_funct_1(k4_surreals(X1,X2)))), file('surreals/surreals__t8_surreals', dt_k4_surreals)).
fof(t8_surreals, conjecture, ![X1]:(v7_ordinal1(X1)=>![X2, X3]:(v1_xtuple_0(X3)=>(k1_funct_1(k4_surreals(X3,X2),k1_nat_1(X1,np__1))=k2_xboole_0(k1_funct_1(k4_surreals(X3,X2),X1),k2_surreals(X2,k1_funct_1(k4_surreals(X3,X2),X1),k1_funct_1(k5_surreals(X3,X2),X1)))&k1_funct_1(k5_surreals(X3,X2),k1_nat_1(X1,np__1))=k2_xboole_0(k2_xboole_0(k1_funct_1(k5_surreals(X3,X2),X1),k2_surreals(X2,k1_funct_1(k4_surreals(X3,X2),X1),k1_funct_1(k4_surreals(X3,X2),X1))),k2_surreals(X2,k1_funct_1(k5_surreals(X3,X2),X1),k1_funct_1(k5_surreals(X3,X2),X1)))))), file('surreals/surreals__t8_surreals', t8_surreals)).
fof(cc8_ordinal1, axiom, ![X1]:(m1_subset_1(X1,k4_ordinal1)=>v7_ordinal1(X1)), file('surreals/surreals__t8_surreals', cc8_ordinal1)).
fof(dt_k1_nat_1, axiom, ![X1, X2]:((v7_ordinal1(X1)&m1_subset_1(X2,k4_ordinal1))=>m1_subset_1(k1_nat_1(X1,X2),k4_ordinal1)), file('surreals/surreals__t8_surreals', dt_k1_nat_1)).
fof(spc1_numerals, axiom, (v2_xxreal_0(np__1)&m1_subset_1(np__1,k4_ordinal1)), file('surreals/surreals__t8_surreals', spc1_numerals)).
fof(c_0_12, plain, ![X35, X36, X37, X38]:((((k9_xtuple_0(X37)=k4_ordinal1|X37!=k3_surreals(X35,X36)|(~v1_relat_1(X37)|~v1_funct_1(X37))|~v1_xtuple_0(X35))&(k1_funct_1(X37,k5_numbers)=X35|X37!=k3_surreals(X35,X36)|(~v1_relat_1(X37)|~v1_funct_1(X37))|~v1_xtuple_0(X35)))&(((v1_xtuple_0(k1_funct_1(X37,X38))|~v7_ordinal1(X38)|X37!=k3_surreals(X35,X36)|(~v1_relat_1(X37)|~v1_funct_1(X37))|~v1_xtuple_0(X35))&(k1_xtuple_0(k1_funct_1(X37,k1_nat_1(X38,np__1)))=k2_xboole_0(k1_surreal0(k1_funct_1(X37,X38)),k2_surreals(X36,k1_surreal0(k1_funct_1(X37,X38)),k2_surreal0(k1_funct_1(X37,X38))))|~v7_ordinal1(X38)|X37!=k3_surreals(X35,X36)|(~v1_relat_1(X37)|~v1_funct_1(X37))|~v1_xtuple_0(X35)))&(k2_xtuple_0(k1_funct_1(X37,k1_nat_1(X38,np__1)))=k2_xboole_0(k2_xboole_0(k2_surreal0(k1_funct_1(X37,X38)),k2_surreals(X36,k1_surreal0(k1_funct_1(X37,X38)),k1_surreal0(k1_funct_1(X37,X38)))),k2_surreals(X36,k2_surreal0(k1_funct_1(X37,X38)),k2_surreal0(k1_funct_1(X37,X38))))|~v7_ordinal1(X38)|X37!=k3_surreals(X35,X36)|(~v1_relat_1(X37)|~v1_funct_1(X37))|~v1_xtuple_0(X35))))&((v7_ordinal1(esk4_3(X35,X36,X37))|(k9_xtuple_0(X37)!=k4_ordinal1|k1_funct_1(X37,k5_numbers)!=X35)|X37=k3_surreals(X35,X36)|(~v1_relat_1(X37)|~v1_funct_1(X37))|~v1_xtuple_0(X35))&(~v1_xtuple_0(k1_funct_1(X37,esk4_3(X35,X36,X37)))|k1_xtuple_0(k1_funct_1(X37,k1_nat_1(esk4_3(X35,X36,X37),np__1)))!=k2_xboole_0(k1_surreal0(k1_funct_1(X37,esk4_3(X35,X36,X37))),k2_surreals(X36,k1_surreal0(k1_funct_1(X37,esk4_3(X35,X36,X37))),k2_surreal0(k1_funct_1(X37,esk4_3(X35,X36,X37)))))|k2_xtuple_0(k1_funct_1(X37,k1_nat_1(esk4_3(X35,X36,X37),np__1)))!=k2_xboole_0(k2_xboole_0(k2_surreal0(k1_funct_1(X37,esk4_3(X35,X36,X37))),k2_surreals(X36,k1_surreal0(k1_funct_1(X37,esk4_3(X35,X36,X37))),k1_surreal0(k1_funct_1(X37,esk4_3(X35,X36,X37))))),k2_surreals(X36,k2_surreal0(k1_funct_1(X37,esk4_3(X35,X36,X37))),k2_surreal0(k1_funct_1(X37,esk4_3(X35,X36,X37)))))|(k9_xtuple_0(X37)!=k4_ordinal1|k1_funct_1(X37,k5_numbers)!=X35)|X37=k3_surreals(X35,X36)|(~v1_relat_1(X37)|~v1_funct_1(X37))|~v1_xtuple_0(X35)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d3_surreals])])])])])).
fof(c_0_13, plain, ![X58]:k1_surreal0(X58)=k1_xtuple_0(X58), inference(variable_rename,[status(thm)],[redefinition_k1_surreal0])).
fof(c_0_14, plain, ![X59]:k2_surreal0(X59)=k2_xtuple_0(X59), inference(variable_rename,[status(thm)],[redefinition_k2_surreal0])).
fof(c_0_15, plain, ![X45, X46, X47, X48]:(((k9_xtuple_0(X47)=k4_ordinal1|X47!=k5_surreals(X45,X46)|(~v1_relat_1(X47)|~v1_funct_1(X47))|~v1_xtuple_0(X45))&(~v7_ordinal1(X48)|k1_funct_1(X47,X48)=k2_xtuple_0(k1_funct_1(k3_surreals(X45,X46),X48))|X47!=k5_surreals(X45,X46)|(~v1_relat_1(X47)|~v1_funct_1(X47))|~v1_xtuple_0(X45)))&((v7_ordinal1(esk6_3(X45,X46,X47))|k9_xtuple_0(X47)!=k4_ordinal1|X47=k5_surreals(X45,X46)|(~v1_relat_1(X47)|~v1_funct_1(X47))|~v1_xtuple_0(X45))&(k1_funct_1(X47,esk6_3(X45,X46,X47))!=k2_xtuple_0(k1_funct_1(k3_surreals(X45,X46),esk6_3(X45,X46,X47)))|k9_xtuple_0(X47)!=k4_ordinal1|X47=k5_surreals(X45,X46)|(~v1_relat_1(X47)|~v1_funct_1(X47))|~v1_xtuple_0(X45)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d5_surreals])])])])])).
cnf(c_0_16, plain, (k2_xtuple_0(k1_funct_1(X1,k1_nat_1(X2,np__1)))=k2_xboole_0(k2_xboole_0(k2_surreal0(k1_funct_1(X1,X2)),k2_surreals(X3,k1_surreal0(k1_funct_1(X1,X2)),k1_surreal0(k1_funct_1(X1,X2)))),k2_surreals(X3,k2_surreal0(k1_funct_1(X1,X2)),k2_surreal0(k1_funct_1(X1,X2))))|~v7_ordinal1(X2)|X1!=k3_surreals(X4,X3)|~v1_relat_1(X1)|~v1_funct_1(X1)|~v1_xtuple_0(X4)), inference(split_conjunct,[status(thm)],[c_0_12])).
cnf(c_0_17, plain, (k1_surreal0(X1)=k1_xtuple_0(X1)), inference(split_conjunct,[status(thm)],[c_0_13])).
cnf(c_0_18, plain, (k2_surreal0(X1)=k2_xtuple_0(X1)), inference(split_conjunct,[status(thm)],[c_0_14])).
fof(c_0_19, plain, ![X52, X53]:((v1_relat_1(k3_surreals(X52,X53))|~v1_xtuple_0(X52))&(v1_funct_1(k3_surreals(X52,X53))|~v1_xtuple_0(X52))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k3_surreals])])])).
cnf(c_0_20, plain, (k1_funct_1(X2,X1)=k2_xtuple_0(k1_funct_1(k3_surreals(X3,X4),X1))|~v7_ordinal1(X1)|X2!=k5_surreals(X3,X4)|~v1_relat_1(X2)|~v1_funct_1(X2)|~v1_xtuple_0(X3)), inference(split_conjunct,[status(thm)],[c_0_15])).
fof(c_0_21, plain, ![X56, X57]:((v1_relat_1(k5_surreals(X56,X57))|~v1_xtuple_0(X56))&(v1_funct_1(k5_surreals(X56,X57))|~v1_xtuple_0(X56))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k5_surreals])])])).
cnf(c_0_22, plain, (k2_surreal0(k1_funct_1(X1,k1_nat_1(X2,np__1)))=k2_xboole_0(k2_xboole_0(k2_surreal0(k1_funct_1(X1,X2)),k2_surreals(X3,k1_xtuple_0(k1_funct_1(X1,X2)),k1_xtuple_0(k1_funct_1(X1,X2)))),k2_surreals(X3,k2_surreal0(k1_funct_1(X1,X2)),k2_surreal0(k1_funct_1(X1,X2))))|X1!=k3_surreals(X4,X3)|~v7_ordinal1(X2)|~v1_xtuple_0(X4)|~v1_relat_1(X1)|~v1_funct_1(X1)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_16, c_0_17]), c_0_17]), c_0_18])).
cnf(c_0_23, plain, (v1_relat_1(k3_surreals(X1,X2))|~v1_xtuple_0(X1)), inference(split_conjunct,[status(thm)],[c_0_19])).
cnf(c_0_24, plain, (v1_funct_1(k3_surreals(X1,X2))|~v1_xtuple_0(X1)), inference(split_conjunct,[status(thm)],[c_0_19])).
cnf(c_0_25, plain, (k1_funct_1(X2,X1)=k2_surreal0(k1_funct_1(k3_surreals(X3,X4),X1))|X2!=k5_surreals(X3,X4)|~v7_ordinal1(X1)|~v1_xtuple_0(X3)|~v1_relat_1(X2)|~v1_funct_1(X2)), inference(rw,[status(thm)],[c_0_20, c_0_18])).
cnf(c_0_26, plain, (v1_relat_1(k5_surreals(X1,X2))|~v1_xtuple_0(X1)), inference(split_conjunct,[status(thm)],[c_0_21])).
cnf(c_0_27, plain, (v1_funct_1(k5_surreals(X1,X2))|~v1_xtuple_0(X1)), inference(split_conjunct,[status(thm)],[c_0_21])).
fof(c_0_28, plain, ![X40, X41, X42, X43]:(((k9_xtuple_0(X42)=k4_ordinal1|X42!=k4_surreals(X40,X41)|(~v1_relat_1(X42)|~v1_funct_1(X42))|~v1_xtuple_0(X40))&(~v7_ordinal1(X43)|k1_funct_1(X42,X43)=k1_xtuple_0(k1_funct_1(k3_surreals(X40,X41),X43))|X42!=k4_surreals(X40,X41)|(~v1_relat_1(X42)|~v1_funct_1(X42))|~v1_xtuple_0(X40)))&((v7_ordinal1(esk5_3(X40,X41,X42))|k9_xtuple_0(X42)!=k4_ordinal1|X42=k4_surreals(X40,X41)|(~v1_relat_1(X42)|~v1_funct_1(X42))|~v1_xtuple_0(X40))&(k1_funct_1(X42,esk5_3(X40,X41,X42))!=k1_xtuple_0(k1_funct_1(k3_surreals(X40,X41),esk5_3(X40,X41,X42)))|k9_xtuple_0(X42)!=k4_ordinal1|X42=k4_surreals(X40,X41)|(~v1_relat_1(X42)|~v1_funct_1(X42))|~v1_xtuple_0(X40)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d4_surreals])])])])])).
fof(c_0_29, plain, ![X54, X55]:((v1_relat_1(k4_surreals(X54,X55))|~v1_xtuple_0(X54))&(v1_funct_1(k4_surreals(X54,X55))|~v1_xtuple_0(X54))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k4_surreals])])])).
cnf(c_0_30, plain, (k1_xtuple_0(k1_funct_1(X1,k1_nat_1(X2,np__1)))=k2_xboole_0(k1_surreal0(k1_funct_1(X1,X2)),k2_surreals(X3,k1_surreal0(k1_funct_1(X1,X2)),k2_surreal0(k1_funct_1(X1,X2))))|~v7_ordinal1(X2)|X1!=k3_surreals(X4,X3)|~v1_relat_1(X1)|~v1_funct_1(X1)|~v1_xtuple_0(X4)), inference(split_conjunct,[status(thm)],[c_0_12])).
fof(c_0_31, negated_conjecture, ~(![X1]:(v7_ordinal1(X1)=>![X2, X3]:(v1_xtuple_0(X3)=>(k1_funct_1(k4_surreals(X3,X2),k1_nat_1(X1,np__1))=k2_xboole_0(k1_funct_1(k4_surreals(X3,X2),X1),k2_surreals(X2,k1_funct_1(k4_surreals(X3,X2),X1),k1_funct_1(k5_surreals(X3,X2),X1)))&k1_funct_1(k5_surreals(X3,X2),k1_nat_1(X1,np__1))=k2_xboole_0(k2_xboole_0(k1_funct_1(k5_surreals(X3,X2),X1),k2_surreals(X2,k1_funct_1(k4_surreals(X3,X2),X1),k1_funct_1(k4_surreals(X3,X2),X1))),k2_surreals(X2,k1_funct_1(k5_surreals(X3,X2),X1),k1_funct_1(k5_surreals(X3,X2),X1))))))), inference(assume_negation,[status(cth)],[t8_surreals])).
cnf(c_0_32, plain, (k2_xboole_0(k2_xboole_0(k2_surreal0(k1_funct_1(k3_surreals(X1,X2),X3)),k2_surreals(X2,k1_xtuple_0(k1_funct_1(k3_surreals(X1,X2),X3)),k1_xtuple_0(k1_funct_1(k3_surreals(X1,X2),X3)))),k2_surreals(X2,k2_surreal0(k1_funct_1(k3_surreals(X1,X2),X3)),k2_surreal0(k1_funct_1(k3_surreals(X1,X2),X3))))=k2_surreal0(k1_funct_1(k3_surreals(X1,X2),k1_nat_1(X3,np__1)))|~v1_xtuple_0(X1)|~v7_ordinal1(X3)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_22]), c_0_23]), c_0_24])).
cnf(c_0_33, plain, (k2_surreal0(k1_funct_1(k3_surreals(X1,X2),X3))=k1_funct_1(k5_surreals(X1,X2),X3)|~v1_xtuple_0(X1)|~v7_ordinal1(X3)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_25]), c_0_26]), c_0_27])).
cnf(c_0_34, plain, (k1_funct_1(X2,X1)=k1_xtuple_0(k1_funct_1(k3_surreals(X3,X4),X1))|~v7_ordinal1(X1)|X2!=k4_surreals(X3,X4)|~v1_relat_1(X2)|~v1_funct_1(X2)|~v1_xtuple_0(X3)), inference(split_conjunct,[status(thm)],[c_0_28])).
cnf(c_0_35, plain, (v1_relat_1(k4_surreals(X1,X2))|~v1_xtuple_0(X1)), inference(split_conjunct,[status(thm)],[c_0_29])).
cnf(c_0_36, plain, (v1_funct_1(k4_surreals(X1,X2))|~v1_xtuple_0(X1)), inference(split_conjunct,[status(thm)],[c_0_29])).
cnf(c_0_37, plain, (k1_xtuple_0(k1_funct_1(X1,k1_nat_1(X2,np__1)))=k2_xboole_0(k1_xtuple_0(k1_funct_1(X1,X2)),k2_surreals(X3,k1_xtuple_0(k1_funct_1(X1,X2)),k2_surreal0(k1_funct_1(X1,X2))))|X1!=k3_surreals(X4,X3)|~v7_ordinal1(X2)|~v1_xtuple_0(X4)|~v1_relat_1(X1)|~v1_funct_1(X1)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_30, c_0_17]), c_0_17])).
fof(c_0_38, negated_conjecture, (v7_ordinal1(esk1_0)&(v1_xtuple_0(esk3_0)&(k1_funct_1(k4_surreals(esk3_0,esk2_0),k1_nat_1(esk1_0,np__1))!=k2_xboole_0(k1_funct_1(k4_surreals(esk3_0,esk2_0),esk1_0),k2_surreals(esk2_0,k1_funct_1(k4_surreals(esk3_0,esk2_0),esk1_0),k1_funct_1(k5_surreals(esk3_0,esk2_0),esk1_0)))|k1_funct_1(k5_surreals(esk3_0,esk2_0),k1_nat_1(esk1_0,np__1))!=k2_xboole_0(k2_xboole_0(k1_funct_1(k5_surreals(esk3_0,esk2_0),esk1_0),k2_surreals(esk2_0,k1_funct_1(k4_surreals(esk3_0,esk2_0),esk1_0),k1_funct_1(k4_surreals(esk3_0,esk2_0),esk1_0))),k2_surreals(esk2_0,k1_funct_1(k5_surreals(esk3_0,esk2_0),esk1_0),k1_funct_1(k5_surreals(esk3_0,esk2_0),esk1_0)))))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_31])])])).
cnf(c_0_39, plain, (k2_xboole_0(k2_xboole_0(k1_funct_1(k5_surreals(X1,X2),X3),k2_surreals(X2,k1_xtuple_0(k1_funct_1(k3_surreals(X1,X2),X3)),k1_xtuple_0(k1_funct_1(k3_surreals(X1,X2),X3)))),k2_surreals(X2,k1_funct_1(k5_surreals(X1,X2),X3),k1_funct_1(k5_surreals(X1,X2),X3)))=k2_surreal0(k1_funct_1(k3_surreals(X1,X2),k1_nat_1(X3,np__1)))|~v1_xtuple_0(X1)|~v7_ordinal1(X3)), inference(spm,[status(thm)],[c_0_32, c_0_33])).
cnf(c_0_40, plain, (k1_xtuple_0(k1_funct_1(k3_surreals(X1,X2),X3))=k1_funct_1(k4_surreals(X1,X2),X3)|~v1_xtuple_0(X1)|~v7_ordinal1(X3)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_34]), c_0_35]), c_0_36])).
cnf(c_0_41, plain, (k2_xboole_0(k1_xtuple_0(k1_funct_1(k3_surreals(X1,X2),X3)),k2_surreals(X2,k1_xtuple_0(k1_funct_1(k3_surreals(X1,X2),X3)),k2_surreal0(k1_funct_1(k3_surreals(X1,X2),X3))))=k1_xtuple_0(k1_funct_1(k3_surreals(X1,X2),k1_nat_1(X3,np__1)))|~v1_xtuple_0(X1)|~v7_ordinal1(X3)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_37]), c_0_23]), c_0_24])).
cnf(c_0_42, negated_conjecture, (k1_funct_1(k4_surreals(esk3_0,esk2_0),k1_nat_1(esk1_0,np__1))!=k2_xboole_0(k1_funct_1(k4_surreals(esk3_0,esk2_0),esk1_0),k2_surreals(esk2_0,k1_funct_1(k4_surreals(esk3_0,esk2_0),esk1_0),k1_funct_1(k5_surreals(esk3_0,esk2_0),esk1_0)))|k1_funct_1(k5_surreals(esk3_0,esk2_0),k1_nat_1(esk1_0,np__1))!=k2_xboole_0(k2_xboole_0(k1_funct_1(k5_surreals(esk3_0,esk2_0),esk1_0),k2_surreals(esk2_0,k1_funct_1(k4_surreals(esk3_0,esk2_0),esk1_0),k1_funct_1(k4_surreals(esk3_0,esk2_0),esk1_0))),k2_surreals(esk2_0,k1_funct_1(k5_surreals(esk3_0,esk2_0),esk1_0),k1_funct_1(k5_surreals(esk3_0,esk2_0),esk1_0)))), inference(split_conjunct,[status(thm)],[c_0_38])).
cnf(c_0_43, plain, (k2_xboole_0(k2_xboole_0(k1_funct_1(k5_surreals(X1,X2),X3),k2_surreals(X2,k1_funct_1(k4_surreals(X1,X2),X3),k1_funct_1(k4_surreals(X1,X2),X3))),k2_surreals(X2,k1_funct_1(k5_surreals(X1,X2),X3),k1_funct_1(k5_surreals(X1,X2),X3)))=k2_surreal0(k1_funct_1(k3_surreals(X1,X2),k1_nat_1(X3,np__1)))|~v1_xtuple_0(X1)|~v7_ordinal1(X3)), inference(spm,[status(thm)],[c_0_39, c_0_40])).
cnf(c_0_44, negated_conjecture, (v1_xtuple_0(esk3_0)), inference(split_conjunct,[status(thm)],[c_0_38])).
cnf(c_0_45, negated_conjecture, (v7_ordinal1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_38])).
cnf(c_0_46, plain, (k2_xboole_0(k1_funct_1(k4_surreals(X1,X2),X3),k2_surreals(X2,k1_funct_1(k4_surreals(X1,X2),X3),k2_surreal0(k1_funct_1(k3_surreals(X1,X2),X3))))=k1_xtuple_0(k1_funct_1(k3_surreals(X1,X2),k1_nat_1(X3,np__1)))|~v1_xtuple_0(X1)|~v7_ordinal1(X3)), inference(spm,[status(thm)],[c_0_41, c_0_40])).
cnf(c_0_47, negated_conjecture, (k2_xboole_0(k1_funct_1(k4_surreals(esk3_0,esk2_0),esk1_0),k2_surreals(esk2_0,k1_funct_1(k4_surreals(esk3_0,esk2_0),esk1_0),k1_funct_1(k5_surreals(esk3_0,esk2_0),esk1_0)))!=k1_funct_1(k4_surreals(esk3_0,esk2_0),k1_nat_1(esk1_0,np__1))|k2_surreal0(k1_funct_1(k3_surreals(esk3_0,esk2_0),k1_nat_1(esk1_0,np__1)))!=k1_funct_1(k5_surreals(esk3_0,esk2_0),k1_nat_1(esk1_0,np__1))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42, c_0_43]), c_0_44]), c_0_45])])).
cnf(c_0_48, plain, (k2_xboole_0(k1_funct_1(k4_surreals(X1,X2),X3),k2_surreals(X2,k1_funct_1(k4_surreals(X1,X2),X3),k1_funct_1(k5_surreals(X1,X2),X3)))=k1_xtuple_0(k1_funct_1(k3_surreals(X1,X2),k1_nat_1(X3,np__1)))|~v1_xtuple_0(X1)|~v7_ordinal1(X3)), inference(spm,[status(thm)],[c_0_46, c_0_33])).
cnf(c_0_49, negated_conjecture, (k1_xtuple_0(k1_funct_1(k3_surreals(esk3_0,esk2_0),k1_nat_1(esk1_0,np__1)))!=k1_funct_1(k4_surreals(esk3_0,esk2_0),k1_nat_1(esk1_0,np__1))|k2_surreal0(k1_funct_1(k3_surreals(esk3_0,esk2_0),k1_nat_1(esk1_0,np__1)))!=k1_funct_1(k5_surreals(esk3_0,esk2_0),k1_nat_1(esk1_0,np__1))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47, c_0_48]), c_0_44]), c_0_45])])).
fof(c_0_50, plain, ![X34]:(~m1_subset_1(X34,k4_ordinal1)|v7_ordinal1(X34)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc8_ordinal1])])).
fof(c_0_51, plain, ![X50, X51]:(~v7_ordinal1(X50)|~m1_subset_1(X51,k4_ordinal1)|m1_subset_1(k1_nat_1(X50,X51),k4_ordinal1)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k1_nat_1])])).
cnf(c_0_52, negated_conjecture, (k2_surreal0(k1_funct_1(k3_surreals(esk3_0,esk2_0),k1_nat_1(esk1_0,np__1)))!=k1_funct_1(k5_surreals(esk3_0,esk2_0),k1_nat_1(esk1_0,np__1))|~v7_ordinal1(k1_nat_1(esk1_0,np__1))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49, c_0_40]), c_0_44])])).
cnf(c_0_53, plain, (v7_ordinal1(X1)|~m1_subset_1(X1,k4_ordinal1)), inference(split_conjunct,[status(thm)],[c_0_50])).
cnf(c_0_54, plain, (m1_subset_1(k1_nat_1(X1,X2),k4_ordinal1)|~v7_ordinal1(X1)|~m1_subset_1(X2,k4_ordinal1)), inference(split_conjunct,[status(thm)],[c_0_51])).
cnf(c_0_55, negated_conjecture, (~v7_ordinal1(k1_nat_1(esk1_0,np__1))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52, c_0_33]), c_0_44])])).
cnf(c_0_56, plain, (v7_ordinal1(k1_nat_1(X1,X2))|~m1_subset_1(X2,k4_ordinal1)|~v7_ordinal1(X1)), inference(spm,[status(thm)],[c_0_53, c_0_54])).
cnf(c_0_57, plain, (m1_subset_1(np__1,k4_ordinal1)), inference(split_conjunct,[status(thm)],[spc1_numerals])).
cnf(c_0_58, negated_conjecture, ($false), 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_45])]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 59
# Proof object clause steps            : 35
# Proof object formula steps           : 24
# Proof object conjectures             : 11
# Proof object clause conjectures      : 8
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 18
# Proof object initial formulas used   : 12
# Proof object generating inferences   : 14
# Proof object simplifying inferences  : 27
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 12
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 30
# Removed in clause preprocessing      : 2
# Initial clauses in saturation        : 28
# Processed clauses                    : 103
# ...of these trivial                  : 0
# ...subsumed                          : 35
# ...remaining for further processing  : 68
# Other redundant clauses eliminated   : 1
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 2
# Backward-rewritten                   : 0
# Generated clauses                    : 209
# ...of the previous two non-trivial   : 203
# Contextual simplify-reflections      : 38
# Paramodulations                      : 196
# Factorizations                       : 0
# NegExts                              : 0
# Equation resolutions                 : 13
# 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  : 66
#    Positive orientable unit clauses  : 5
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 1
#    Non-unit-clauses                  : 60
# Current number of unprocessed clauses: 128
# ...number of literals in the above   : 664
# Current number of archived formulas  : 0
# Current number of archived clauses   : 4
# Clause-clause subsumption calls (NU) : 2797
# Rec. Clause-clause subsumption calls : 717
# Non-unit clause-clause subsumptions  : 75
# Unit Clause-clause subsumption calls : 8
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 0
# BW rewrite match successes           : 0
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 10499

# -------------------------------------------------
# User time                : 159.527 s
# System time              : 1.600 s
# Total time               : 161.127 s
# Maximum resident set size: 3524 pages
