# No SInE strategy applied
# Trying AutoSched0 for 161 seconds
# AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04BN
# and selection function PSelectComplexExceptUniqMaxHorn.
#
# Preprocessing time       : 0.013 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(t4_surrealo, axiom, ![X1]:(v2_surreal0(X1)=>![X2]:(v2_surreal0(X2)=>![X3]:(v2_surreal0(X3)=>((r5_surreal0(X1,X2)&r5_surreal0(X2,X3))=>r5_surreal0(X1,X3))))), file('surrealn/surrealn__t77_surrealn', t4_surrealo)).
fof(redefinition_r1_surrealo, axiom, ![X1, X2]:((v2_surreal0(X1)&v2_surreal0(X2))=>(r1_surrealo(X1,X2)<=>r5_surreal0(X1,X2))), file('surrealn/surrealn__t77_surrealn', redefinition_r1_surrealo)).
fof(d2_surrealo, axiom, ![X1]:(v2_surreal0(X1)=>![X2]:(v2_surreal0(X2)=>(r2_surrealo(X1,X2)<=>(r1_surrealo(X1,X2)&r1_surrealo(X2,X1))))), file('surrealn/surrealn__t77_surrealn', d2_surrealo)).
fof(l106_surrealn, axiom, ![X1]:(v2_surreal0(X1)=>~((v3_surrealn(X1)&![X2]:(v3_ordinal1(X2)=>~(r2_surrealo(X1,k8_surrealn(X2))))))), file('surrealn/surrealn__t77_surrealn', l106_surrealn)).
fof(symmetry_r2_surrealo, axiom, ![X1, X2]:((v2_surreal0(X1)&v2_surreal0(X2))=>(r2_surrealo(X1,X2)=>r2_surrealo(X2,X1))), file('surrealn/surrealn__t77_surrealn', symmetry_r2_surrealo)).
fof(fc23_surrealn, axiom, ![X1]:(v3_ordinal1(X1)=>v2_surreal0(k8_surrealn(X1))), file('surrealn/surrealn__t77_surrealn', fc23_surrealn)).
fof(t77_surrealn, conjecture, ![X1]:(v2_surreal0(X1)=>~((v3_surrealn(X1)&![X2]:(v3_ordinal1(X2)=>~(r2_surrealo(X1,k9_surrealn(X2))))))), file('surrealn/surrealn__t77_surrealn', t77_surrealn)).
fof(t73_surrealn, axiom, ![X1]:(v3_ordinal1(X1)=>(r2_surrealo(k9_surrealn(X1),k8_surrealn(X1))&k12_surreal0(k9_surrealn(X1))=X1)), file('surrealn/surrealn__t77_surrealn', t73_surrealn)).
fof(dt_k9_surrealn, axiom, ![X1]:(v3_ordinal1(X1)=>((v2_surreal0(k9_surrealn(X1))&v2_surrealo(k9_surrealn(X1)))&v3_surrealn(k9_surrealn(X1)))), file('surrealn/surrealn__t77_surrealn', dt_k9_surrealn)).
fof(c_0_9, plain, ![X32, X33, X34]:(~v2_surreal0(X32)|(~v2_surreal0(X33)|(~v2_surreal0(X34)|(~r5_surreal0(X32,X33)|~r5_surreal0(X33,X34)|r5_surreal0(X32,X34))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t4_surrealo])])])).
fof(c_0_10, plain, ![X28, X29]:((~r1_surrealo(X28,X29)|r5_surreal0(X28,X29)|(~v2_surreal0(X28)|~v2_surreal0(X29)))&(~r5_surreal0(X28,X29)|r1_surrealo(X28,X29)|(~v2_surreal0(X28)|~v2_surreal0(X29)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_r1_surrealo])])])).
cnf(c_0_11, plain, (r5_surreal0(X1,X3)|~v2_surreal0(X1)|~v2_surreal0(X2)|~v2_surreal0(X3)|~r5_surreal0(X1,X2)|~r5_surreal0(X2,X3)), inference(split_conjunct,[status(thm)],[c_0_9])).
cnf(c_0_12, plain, (r5_surreal0(X1,X2)|~r1_surrealo(X1,X2)|~v2_surreal0(X1)|~v2_surreal0(X2)), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_13, plain, (r5_surreal0(X1,X2)|~r5_surreal0(X1,X3)|~r1_surrealo(X3,X2)|~v2_surreal0(X2)|~v2_surreal0(X3)|~v2_surreal0(X1)), inference(spm,[status(thm)],[c_0_11, c_0_12])).
fof(c_0_14, plain, ![X22, X23]:(((r1_surrealo(X22,X23)|~r2_surrealo(X22,X23)|~v2_surreal0(X23)|~v2_surreal0(X22))&(r1_surrealo(X23,X22)|~r2_surrealo(X22,X23)|~v2_surreal0(X23)|~v2_surreal0(X22)))&(~r1_surrealo(X22,X23)|~r1_surrealo(X23,X22)|r2_surrealo(X22,X23)|~v2_surreal0(X23)|~v2_surreal0(X22))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d2_surrealo])])])])).
cnf(c_0_15, plain, (r5_surreal0(X1,X2)|~r1_surrealo(X3,X2)|~r1_surrealo(X1,X3)|~v2_surreal0(X2)|~v2_surreal0(X3)|~v2_surreal0(X1)), inference(spm,[status(thm)],[c_0_13, c_0_12])).
cnf(c_0_16, plain, (r1_surrealo(X1,X2)|~r2_surrealo(X2,X1)|~v2_surreal0(X1)|~v2_surreal0(X2)), inference(split_conjunct,[status(thm)],[c_0_14])).
fof(c_0_17, plain, ![X1]:(v2_surreal0(X1)=>~((v3_surrealn(X1)&![X2]:(v3_ordinal1(X2)=>~r2_surrealo(X1,k8_surrealn(X2)))))), inference(fof_simplification,[status(thm)],[l106_surrealn])).
cnf(c_0_18, plain, (r5_surreal0(X1,X2)|~r1_surrealo(X1,X3)|~r2_surrealo(X2,X3)|~v2_surreal0(X2)|~v2_surreal0(X3)|~v2_surreal0(X1)), inference(spm,[status(thm)],[c_0_15, c_0_16])).
fof(c_0_19, plain, ![X26]:((v3_ordinal1(esk2_1(X26))|~v3_surrealn(X26)|~v2_surreal0(X26))&(r2_surrealo(X26,k8_surrealn(esk2_1(X26)))|~v3_surrealn(X26)|~v2_surreal0(X26))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_17])])])])).
fof(c_0_20, plain, ![X30, X31]:(~v2_surreal0(X30)|~v2_surreal0(X31)|(~r2_surrealo(X30,X31)|r2_surrealo(X31,X30))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[symmetry_r2_surrealo])])).
cnf(c_0_21, plain, (r5_surreal0(X1,X2)|~r2_surrealo(X2,X3)|~r2_surrealo(X3,X1)|~v2_surreal0(X2)|~v2_surreal0(X3)|~v2_surreal0(X1)), inference(spm,[status(thm)],[c_0_18, c_0_16])).
cnf(c_0_22, plain, (r2_surrealo(X1,k8_surrealn(esk2_1(X1)))|~v3_surrealn(X1)|~v2_surreal0(X1)), inference(split_conjunct,[status(thm)],[c_0_19])).
cnf(c_0_23, plain, (r2_surrealo(X2,X1)|~v2_surreal0(X1)|~v2_surreal0(X2)|~r2_surrealo(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_20])).
cnf(c_0_24, plain, (r5_surreal0(X1,X2)|~r2_surrealo(k8_surrealn(esk2_1(X2)),X1)|~v3_surrealn(X2)|~v2_surreal0(k8_surrealn(esk2_1(X2)))|~v2_surreal0(X2)|~v2_surreal0(X1)), inference(spm,[status(thm)],[c_0_21, c_0_22])).
cnf(c_0_25, plain, (r2_surrealo(k8_surrealn(esk2_1(X1)),X1)|~v3_surrealn(X1)|~v2_surreal0(k8_surrealn(esk2_1(X1)))|~v2_surreal0(X1)), inference(spm,[status(thm)],[c_0_23, c_0_22])).
fof(c_0_26, plain, ![X25]:(~v3_ordinal1(X25)|v2_surreal0(k8_surrealn(X25))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc23_surrealn])])).
fof(c_0_27, negated_conjecture, ~(![X1]:(v2_surreal0(X1)=>~((v3_surrealn(X1)&![X2]:(v3_ordinal1(X2)=>~r2_surrealo(X1,k9_surrealn(X2))))))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t77_surrealn])])).
cnf(c_0_28, plain, (r5_surreal0(X1,X1)|~v3_surrealn(X1)|~v2_surreal0(k8_surrealn(esk2_1(X1)))|~v2_surreal0(X1)), inference(spm,[status(thm)],[c_0_24, c_0_25])).
cnf(c_0_29, plain, (v2_surreal0(k8_surrealn(X1))|~v3_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_26])).
cnf(c_0_30, plain, (v3_ordinal1(esk2_1(X1))|~v3_surrealn(X1)|~v2_surreal0(X1)), inference(split_conjunct,[status(thm)],[c_0_19])).
fof(c_0_31, negated_conjecture, ![X21]:(v2_surreal0(esk1_0)&(v3_surrealn(esk1_0)&(~v3_ordinal1(X21)|~r2_surrealo(esk1_0,k9_surrealn(X21))))), inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_27])])])])).
cnf(c_0_32, plain, (r5_surreal0(X1,X1)|~v3_surrealn(X1)|~v2_surreal0(X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_28, c_0_29]), c_0_30])).
cnf(c_0_33, negated_conjecture, (v3_surrealn(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_31])).
cnf(c_0_34, negated_conjecture, (v2_surreal0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_31])).
cnf(c_0_35, plain, (r1_surrealo(X1,X2)|~r2_surrealo(X1,X2)|~v2_surreal0(X2)|~v2_surreal0(X1)), inference(split_conjunct,[status(thm)],[c_0_14])).
cnf(c_0_36, plain, (r1_surrealo(X1,X2)|~r5_surreal0(X1,X2)|~v2_surreal0(X1)|~v2_surreal0(X2)), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_37, negated_conjecture, (r5_surreal0(esk1_0,esk1_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32, c_0_33]), c_0_34])])).
cnf(c_0_38, plain, (r5_surreal0(X1,X2)|~r1_surrealo(X1,X3)|~r2_surrealo(X3,X2)|~v2_surreal0(X2)|~v2_surreal0(X3)|~v2_surreal0(X1)), inference(spm,[status(thm)],[c_0_15, c_0_35])).
cnf(c_0_39, plain, (r2_surrealo(X1,X2)|~r1_surrealo(X1,X2)|~r1_surrealo(X2,X1)|~v2_surreal0(X2)|~v2_surreal0(X1)), inference(split_conjunct,[status(thm)],[c_0_14])).
cnf(c_0_40, negated_conjecture, (r1_surrealo(esk1_0,esk1_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36, c_0_37]), c_0_34])])).
cnf(c_0_41, plain, (r5_surreal0(X1,X2)|~r2_surrealo(X3,X2)|~r2_surrealo(X3,X1)|~v2_surreal0(X2)|~v2_surreal0(X3)|~v2_surreal0(X1)), inference(spm,[status(thm)],[c_0_38, c_0_16])).
cnf(c_0_42, negated_conjecture, (r2_surrealo(esk1_0,esk1_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39, c_0_40]), c_0_40]), c_0_34])])).
cnf(c_0_43, negated_conjecture, (r5_surreal0(esk1_0,X1)|~r2_surrealo(esk1_0,X1)|~v2_surreal0(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38, c_0_40]), c_0_34])])).
cnf(c_0_44, negated_conjecture, (r5_surreal0(X1,esk1_0)|~r2_surrealo(esk1_0,X1)|~v2_surreal0(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41, c_0_42]), c_0_34])])).
fof(c_0_45, plain, ![X35]:((r2_surrealo(k9_surrealn(X35),k8_surrealn(X35))|~v3_ordinal1(X35))&(k12_surreal0(k9_surrealn(X35))=X35|~v3_ordinal1(X35))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t73_surrealn])])])).
fof(c_0_46, plain, ![X24]:(((v2_surreal0(k9_surrealn(X24))|~v3_ordinal1(X24))&(v2_surrealo(k9_surrealn(X24))|~v3_ordinal1(X24)))&(v3_surrealn(k9_surrealn(X24))|~v3_ordinal1(X24))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k9_surrealn])])])).
cnf(c_0_47, negated_conjecture, (r1_surrealo(esk1_0,X1)|~r2_surrealo(esk1_0,X1)|~v2_surreal0(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36, c_0_43]), c_0_34])])).
cnf(c_0_48, negated_conjecture, (r1_surrealo(X1,esk1_0)|~r2_surrealo(esk1_0,X1)|~v2_surreal0(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36, c_0_44]), c_0_34])])).
cnf(c_0_49, plain, (r2_surrealo(k9_surrealn(X1),k8_surrealn(X1))|~v3_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_45])).
cnf(c_0_50, plain, (v2_surreal0(k9_surrealn(X1))|~v3_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_46])).
cnf(c_0_51, negated_conjecture, (r2_surrealo(X1,esk1_0)|~r2_surrealo(esk1_0,X1)|~v2_surreal0(X1)), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39, c_0_47]), c_0_34])]), c_0_48])).
cnf(c_0_52, plain, (r5_surreal0(X1,k9_surrealn(X2))|~r2_surrealo(k8_surrealn(X2),X1)|~v3_ordinal1(X2)|~v2_surreal0(X1)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_21, c_0_49]), c_0_29]), c_0_50])).
cnf(c_0_53, negated_conjecture, (r2_surrealo(k8_surrealn(esk2_1(esk1_0)),esk1_0)|~v2_surreal0(k8_surrealn(esk2_1(esk1_0)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51, c_0_22]), c_0_33]), c_0_34])])).
cnf(c_0_54, negated_conjecture, (r5_surreal0(esk1_0,k9_surrealn(esk2_1(esk1_0)))|~v3_ordinal1(esk2_1(esk1_0))), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52, c_0_53]), c_0_34])]), c_0_29])).
cnf(c_0_55, negated_conjecture, (r5_surreal0(X1,esk1_0)|~r2_surrealo(k8_surrealn(esk2_1(esk1_0)),X1)|~v2_surreal0(k8_surrealn(esk2_1(esk1_0)))|~v2_surreal0(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41, c_0_53]), c_0_34])])).
cnf(c_0_56, plain, (r2_surrealo(k8_surrealn(X1),k9_surrealn(X1))|~v3_ordinal1(X1)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_23, c_0_49]), c_0_50]), c_0_29])).
cnf(c_0_57, negated_conjecture, (r1_surrealo(esk1_0,k9_surrealn(esk2_1(esk1_0)))|~v3_ordinal1(esk2_1(esk1_0))), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36, c_0_54]), c_0_34])]), c_0_50])).
cnf(c_0_58, negated_conjecture, (r5_surreal0(k9_surrealn(esk2_1(esk1_0)),esk1_0)|~v3_ordinal1(esk2_1(esk1_0))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_55, c_0_56]), c_0_50]), c_0_29])).
cnf(c_0_59, negated_conjecture, (r2_surrealo(k9_surrealn(esk2_1(esk1_0)),esk1_0)|~r1_surrealo(k9_surrealn(esk2_1(esk1_0)),esk1_0)|~v3_ordinal1(esk2_1(esk1_0))), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39, c_0_57]), c_0_34])]), c_0_50])).
cnf(c_0_60, negated_conjecture, (r1_surrealo(k9_surrealn(esk2_1(esk1_0)),esk1_0)|~v3_ordinal1(esk2_1(esk1_0))), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36, c_0_58]), c_0_34])]), c_0_50])).
cnf(c_0_61, negated_conjecture, (r2_surrealo(k9_surrealn(esk2_1(esk1_0)),esk1_0)|~v3_ordinal1(esk2_1(esk1_0))), inference(spm,[status(thm)],[c_0_59, c_0_60])).
cnf(c_0_62, negated_conjecture, (~v3_ordinal1(X1)|~r2_surrealo(esk1_0,k9_surrealn(X1))), inference(split_conjunct,[status(thm)],[c_0_31])).
cnf(c_0_63, negated_conjecture, (~v3_ordinal1(esk2_1(esk1_0))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23, c_0_61]), c_0_34])]), c_0_50]), c_0_62])).
cnf(c_0_64, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63, c_0_30]), c_0_33]), c_0_34])]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 65
# Proof object clause steps            : 45
# Proof object formula steps           : 20
# Proof object conjectures             : 24
# Proof object clause conjectures      : 21
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 15
# Proof object initial formulas used   : 9
# Proof object generating inferences   : 30
# Proof object simplifying inferences  : 49
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 9
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 18
# Removed in clause preprocessing      : 0
# Initial clauses in saturation        : 18
# Processed clauses                    : 177
# ...of these trivial                  : 0
# ...subsumed                          : 58
# ...remaining for further processing  : 119
# Other redundant clauses eliminated   : 0
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 2
# Backward-rewritten                   : 0
# Generated clauses                    : 317
# ...of the previous two non-trivial   : 294
# Contextual simplify-reflections      : 40
# Paramodulations                      : 317
# Factorizations                       : 0
# NegExts                              : 0
# Equation resolutions                 : 0
# 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  : 99
#    Positive orientable unit clauses  : 5
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 1
#    Non-unit-clauses                  : 93
# Current number of unprocessed clauses: 153
# ...number of literals in the above   : 863
# Current number of archived formulas  : 0
# Current number of archived clauses   : 20
# Clause-clause subsumption calls (NU) : 1788
# Rec. Clause-clause subsumption calls : 729
# Non-unit clause-clause subsumptions  : 100
# Unit Clause-clause subsumption calls : 30
# 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          : 8098

# -------------------------------------------------
# User time                : 0.020 s
# System time              : 0.000 s
# Total time               : 0.020 s
# Maximum resident set size: 3564 pages
