# No SInE strategy applied
# Trying AutoSched0 for 161 seconds
# AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S086N
# and selection function SelectCQIArNp.
#
# Preprocessing time       : 0.020 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(t76_surrealn, conjecture, ![X1]:(v3_ordinal1(X1)=>![X2]:(v2_surreal0(X2)=>(r2_tarski(X2,k10_surreal0(X1))=>r1_surrealo(X2,k9_surrealn(X1))))), file('surrealn/surrealn__t76_surrealn', t76_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__t76_surrealn', dt_k9_surrealn)).
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__t76_surrealn', d2_surrealo)).
fof(fc23_surrealn, axiom, ![X1]:(v3_ordinal1(X1)=>v2_surreal0(k8_surrealn(X1))), file('surrealn/surrealn__t76_surrealn', fc23_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__t76_surrealn', t73_surrealn)).
fof(redefinition_r1_surrealo, axiom, ![X1, X2]:((v2_surreal0(X1)&v2_surreal0(X2))=>(r1_surrealo(X1,X2)<=>r5_surreal0(X1,X2))), file('surrealn/surrealn__t76_surrealn', redefinition_r1_surrealo)).
fof(t69_surrealn, axiom, ![X1]:(v3_ordinal1(X1)=>![X2]:(v2_surreal0(X2)=>(r2_tarski(X2,k10_surreal0(X1))=>r1_surrealo(X2,k8_surrealn(X1))))), file('surrealn/surrealn__t76_surrealn', t69_surrealn)).
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__t76_surrealn', t4_surrealo)).
fof(c_0_8, negated_conjecture, ~(![X1]:(v3_ordinal1(X1)=>![X2]:(v2_surreal0(X2)=>(r2_tarski(X2,k10_surreal0(X1))=>r1_surrealo(X2,k9_surrealn(X1)))))), inference(assume_negation,[status(cth)],[t76_surrealn])).
fof(c_0_9, plain, ![X22]:(((v2_surreal0(k9_surrealn(X22))|~v3_ordinal1(X22))&(v2_surrealo(k9_surrealn(X22))|~v3_ordinal1(X22)))&(v3_surrealn(k9_surrealn(X22))|~v3_ordinal1(X22))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k9_surrealn])])])).
fof(c_0_10, negated_conjecture, (v3_ordinal1(esk1_0)&(v2_surreal0(esk2_0)&(r2_tarski(esk2_0,k10_surreal0(esk1_0))&~r1_surrealo(esk2_0,k9_surrealn(esk1_0))))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])])).
fof(c_0_11, plain, ![X20, X21]:(((r1_surrealo(X20,X21)|~r2_surrealo(X20,X21)|~v2_surreal0(X21)|~v2_surreal0(X20))&(r1_surrealo(X21,X20)|~r2_surrealo(X20,X21)|~v2_surreal0(X21)|~v2_surreal0(X20)))&(~r1_surrealo(X20,X21)|~r1_surrealo(X21,X20)|r2_surrealo(X20,X21)|~v2_surreal0(X21)|~v2_surreal0(X20))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d2_surrealo])])])])).
cnf(c_0_12, plain, (v2_surreal0(k9_surrealn(X1))|~v3_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_9])).
cnf(c_0_13, negated_conjecture, (v3_ordinal1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_10])).
fof(c_0_14, plain, ![X23]:(~v3_ordinal1(X23)|v2_surreal0(k8_surrealn(X23))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc23_surrealn])])).
fof(c_0_15, plain, ![X31]:((r2_surrealo(k9_surrealn(X31),k8_surrealn(X31))|~v3_ordinal1(X31))&(k12_surreal0(k9_surrealn(X31))=X31|~v3_ordinal1(X31))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t73_surrealn])])])).
fof(c_0_16, plain, ![X24, X25]:((~r1_surrealo(X24,X25)|r5_surreal0(X24,X25)|(~v2_surreal0(X24)|~v2_surreal0(X25)))&(~r5_surreal0(X24,X25)|r1_surrealo(X24,X25)|(~v2_surreal0(X24)|~v2_surreal0(X25)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_r1_surrealo])])])).
cnf(c_0_17, plain, (r1_surrealo(X1,X2)|~r2_surrealo(X2,X1)|~v2_surreal0(X1)|~v2_surreal0(X2)), inference(split_conjunct,[status(thm)],[c_0_11])).
cnf(c_0_18, negated_conjecture, (v2_surreal0(k9_surrealn(esk1_0))), inference(spm,[status(thm)],[c_0_12, c_0_13])).
cnf(c_0_19, plain, (v2_surreal0(k8_surrealn(X1))|~v3_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_14])).
cnf(c_0_20, plain, (r2_surrealo(k9_surrealn(X1),k8_surrealn(X1))|~v3_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_15])).
fof(c_0_21, plain, ![X29, X30]:(~v3_ordinal1(X29)|(~v2_surreal0(X30)|(~r2_tarski(X30,k10_surreal0(X29))|r1_surrealo(X30,k8_surrealn(X29))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t69_surrealn])])])).
fof(c_0_22, plain, ![X26, X27, X28]:(~v2_surreal0(X26)|(~v2_surreal0(X27)|(~v2_surreal0(X28)|(~r5_surreal0(X26,X27)|~r5_surreal0(X27,X28)|r5_surreal0(X26,X28))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t4_surrealo])])])).
cnf(c_0_23, plain, (r5_surreal0(X1,X2)|~r1_surrealo(X1,X2)|~v2_surreal0(X1)|~v2_surreal0(X2)), inference(split_conjunct,[status(thm)],[c_0_16])).
cnf(c_0_24, negated_conjecture, (r1_surrealo(X1,k9_surrealn(esk1_0))|~r2_surrealo(k9_surrealn(esk1_0),X1)|~v2_surreal0(X1)), inference(spm,[status(thm)],[c_0_17, c_0_18])).
cnf(c_0_25, negated_conjecture, (v2_surreal0(k8_surrealn(esk1_0))), inference(spm,[status(thm)],[c_0_19, c_0_13])).
cnf(c_0_26, negated_conjecture, (r2_surrealo(k9_surrealn(esk1_0),k8_surrealn(esk1_0))), inference(spm,[status(thm)],[c_0_20, c_0_13])).
cnf(c_0_27, plain, (r1_surrealo(X2,k8_surrealn(X1))|~v3_ordinal1(X1)|~v2_surreal0(X2)|~r2_tarski(X2,k10_surreal0(X1))), inference(split_conjunct,[status(thm)],[c_0_21])).
cnf(c_0_28, negated_conjecture, (v2_surreal0(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_29, 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_22])).
cnf(c_0_30, negated_conjecture, (r5_surreal0(X1,k9_surrealn(esk1_0))|~r1_surrealo(X1,k9_surrealn(esk1_0))|~v2_surreal0(X1)), inference(spm,[status(thm)],[c_0_23, c_0_18])).
cnf(c_0_31, negated_conjecture, (r1_surrealo(k8_surrealn(esk1_0),k9_surrealn(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24, c_0_25]), c_0_26])])).
cnf(c_0_32, negated_conjecture, (r1_surrealo(esk2_0,k8_surrealn(X1))|~r2_tarski(esk2_0,k10_surreal0(X1))|~v3_ordinal1(X1)), inference(spm,[status(thm)],[c_0_27, c_0_28])).
cnf(c_0_33, negated_conjecture, (r2_tarski(esk2_0,k10_surreal0(esk1_0))), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_34, plain, (r1_surrealo(X1,X2)|~r5_surreal0(X1,X2)|~v2_surreal0(X1)|~v2_surreal0(X2)), inference(split_conjunct,[status(thm)],[c_0_16])).
cnf(c_0_35, negated_conjecture, (r5_surreal0(X1,k9_surrealn(esk1_0))|~r5_surreal0(X2,k9_surrealn(esk1_0))|~r5_surreal0(X1,X2)|~v2_surreal0(X2)|~v2_surreal0(X1)), inference(spm,[status(thm)],[c_0_29, c_0_18])).
cnf(c_0_36, negated_conjecture, (r5_surreal0(k8_surrealn(esk1_0),k9_surrealn(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30, c_0_25]), c_0_31])])).
cnf(c_0_37, negated_conjecture, (r5_surreal0(X1,k8_surrealn(esk1_0))|~r1_surrealo(X1,k8_surrealn(esk1_0))|~v2_surreal0(X1)), inference(spm,[status(thm)],[c_0_23, c_0_25])).
cnf(c_0_38, negated_conjecture, (r1_surrealo(esk2_0,k8_surrealn(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32, c_0_13]), c_0_33])])).
cnf(c_0_39, negated_conjecture, (r1_surrealo(X1,k9_surrealn(esk1_0))|~r5_surreal0(X1,k9_surrealn(esk1_0))|~v2_surreal0(X1)), inference(spm,[status(thm)],[c_0_34, c_0_18])).
cnf(c_0_40, negated_conjecture, (~r1_surrealo(esk2_0,k9_surrealn(esk1_0))), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_41, negated_conjecture, (r5_surreal0(X1,k9_surrealn(esk1_0))|~r5_surreal0(X1,k8_surrealn(esk1_0))|~v2_surreal0(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35, c_0_25]), c_0_36])])).
cnf(c_0_42, negated_conjecture, (r5_surreal0(esk2_0,k8_surrealn(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37, c_0_28]), c_0_38])])).
cnf(c_0_43, negated_conjecture, (~r5_surreal0(esk2_0,k9_surrealn(esk1_0))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_39, c_0_28]), c_0_40])).
cnf(c_0_44, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41, c_0_28]), c_0_42])]), c_0_43]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 45
# Proof object clause steps            : 28
# Proof object formula steps           : 17
# Proof object conjectures             : 23
# Proof object clause conjectures      : 20
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 12
# Proof object initial formulas used   : 8
# Proof object generating inferences   : 16
# Proof object simplifying inferences  : 14
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 8
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 17
# Removed in clause preprocessing      : 0
# Initial clauses in saturation        : 17
# Processed clauses                    : 117
# ...of these trivial                  : 2
# ...subsumed                          : 8
# ...remaining for further processing  : 107
# Other redundant clauses eliminated   : 0
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 0
# Backward-rewritten                   : 7
# Generated clauses                    : 99
# ...of the previous two non-trivial   : 83
# Contextual simplify-reflections      : 0
# Paramodulations                      : 99
# 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  : 83
#    Positive orientable unit clauses  : 19
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 4
#    Non-unit-clauses                  : 60
# Current number of unprocessed clauses: 0
# ...number of literals in the above   : 0
# Current number of archived formulas  : 0
# Current number of archived clauses   : 24
# Clause-clause subsumption calls (NU) : 84
# Rec. Clause-clause subsumption calls : 72
# Non-unit clause-clause subsumptions  : 3
# Unit Clause-clause subsumption calls : 40
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 3
# BW rewrite match successes           : 3
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 3170

# -------------------------------------------------
# User time                : 0.022 s
# System time              : 0.002 s
# Total time               : 0.024 s
# Maximum resident set size: 3636 pages
