# No SInE strategy applied
# Trying AutoSched0 for 161 seconds
# AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S060N
# and selection function SelectMaxLComplexAvoidPosPred.
#
# Preprocessing time       : 0.016 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(t48_surrealc, conjecture, ![X1]:(v2_surreal0(X1)=>![X2]:(v2_surreal0(X2)=>(r2_surrealo(X1,X2)=>r2_surrealo(k4_surrealc(X1),k4_surrealc(X2))))), file('surrealc/surrealc__t48_surrealc', t48_surrealc)).
fof(d6_surrealc, axiom, ![X1]:(v2_surreal0(X1)=>((r1_surrealo(k11_surreal0,X1)=>k4_surrealc(X1)=X1)&(~(r1_surrealo(k11_surreal0,X1))=>k4_surrealc(X1)=k2_surrealr(X1)))), file('surrealc/surrealc__t48_surrealc', d6_surrealc)).
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('surrealc/surrealc__t48_surrealc', d2_surrealo)).
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('surrealc/surrealc__t48_surrealc', t4_surrealo)).
fof(redefinition_r1_surrealo, axiom, ![X1, X2]:((v2_surreal0(X1)&v2_surreal0(X2))=>(r1_surrealo(X1,X2)<=>r5_surreal0(X1,X2))), file('surrealc/surrealc__t48_surrealc', redefinition_r1_surrealo)).
fof(t10_surrealr, axiom, ![X1]:(v2_surreal0(X1)=>![X2]:(v2_surreal0(X2)=>(r1_surrealo(X1,X2)<=>r1_surrealo(k2_surrealr(X2),k2_surrealr(X1))))), file('surrealc/surrealc__t48_surrealc', t10_surrealr)).
fof(fc3_surrealr, axiom, ![X1]:(v2_surreal0(X1)=>v2_surreal0(k2_surrealr(X1))), file('surrealc/surrealc__t48_surrealc', fc3_surrealr)).
fof(fc21_surrealn, axiom, (v2_surreal0(k11_surreal0)&v3_surrealn(k11_surreal0)), file('surrealc/surrealc__t48_surrealc', fc21_surrealn)).
fof(c_0_8, negated_conjecture, ~(![X1]:(v2_surreal0(X1)=>![X2]:(v2_surreal0(X2)=>(r2_surrealo(X1,X2)=>r2_surrealo(k4_surrealc(X1),k4_surrealc(X2)))))), inference(assume_negation,[status(cth)],[t48_surrealc])).
fof(c_0_9, plain, ![X1]:(v2_surreal0(X1)=>((r1_surrealo(k11_surreal0,X1)=>k4_surrealc(X1)=X1)&(~r1_surrealo(k11_surreal0,X1)=>k4_surrealc(X1)=k2_surrealr(X1)))), inference(fof_simplification,[status(thm)],[d6_surrealc])).
fof(c_0_10, negated_conjecture, (v2_surreal0(esk1_0)&(v2_surreal0(esk2_0)&(r2_surrealo(esk1_0,esk2_0)&~r2_surrealo(k4_surrealc(esk1_0),k4_surrealc(esk2_0))))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])])).
fof(c_0_11, plain, ![X21]:((~r1_surrealo(k11_surreal0,X21)|k4_surrealc(X21)=X21|~v2_surreal0(X21))&(r1_surrealo(k11_surreal0,X21)|k4_surrealc(X21)=k2_surrealr(X21)|~v2_surreal0(X21))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])])).
cnf(c_0_12, negated_conjecture, (~r2_surrealo(k4_surrealc(esk1_0),k4_surrealc(esk2_0))), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_13, plain, (r1_surrealo(k11_surreal0,X1)|k4_surrealc(X1)=k2_surrealr(X1)|~v2_surreal0(X1)), inference(split_conjunct,[status(thm)],[c_0_11])).
cnf(c_0_14, negated_conjecture, (v2_surreal0(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_15, negated_conjecture, (r1_surrealo(k11_surreal0,esk2_0)|~r2_surrealo(k4_surrealc(esk1_0),k2_surrealr(esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12, c_0_13]), c_0_14])])).
cnf(c_0_16, negated_conjecture, (v2_surreal0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_10])).
fof(c_0_17, plain, ![X19, X20]:(((r1_surrealo(X19,X20)|~r2_surrealo(X19,X20)|~v2_surreal0(X20)|~v2_surreal0(X19))&(r1_surrealo(X20,X19)|~r2_surrealo(X19,X20)|~v2_surreal0(X20)|~v2_surreal0(X19)))&(~r1_surrealo(X19,X20)|~r1_surrealo(X20,X19)|r2_surrealo(X19,X20)|~v2_surreal0(X20)|~v2_surreal0(X19))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d2_surrealo])])])])).
fof(c_0_18, plain, ![X27, X28, X29]:(~v2_surreal0(X27)|(~v2_surreal0(X28)|(~v2_surreal0(X29)|(~r5_surreal0(X27,X28)|~r5_surreal0(X28,X29)|r5_surreal0(X27,X29))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t4_surrealo])])])).
fof(c_0_19, plain, ![X23, X24]:((~r1_surrealo(X23,X24)|r5_surreal0(X23,X24)|(~v2_surreal0(X23)|~v2_surreal0(X24)))&(~r5_surreal0(X23,X24)|r1_surrealo(X23,X24)|(~v2_surreal0(X23)|~v2_surreal0(X24)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_r1_surrealo])])])).
cnf(c_0_20, negated_conjecture, (r1_surrealo(k11_surreal0,esk1_0)|r1_surrealo(k11_surreal0,esk2_0)|~r2_surrealo(k2_surrealr(esk1_0),k2_surrealr(esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15, c_0_13]), c_0_16])])).
cnf(c_0_21, 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_17])).
fof(c_0_22, plain, ![X25, X26]:((~r1_surrealo(X25,X26)|r1_surrealo(k2_surrealr(X26),k2_surrealr(X25))|~v2_surreal0(X26)|~v2_surreal0(X25))&(~r1_surrealo(k2_surrealr(X26),k2_surrealr(X25))|r1_surrealo(X25,X26)|~v2_surreal0(X26)|~v2_surreal0(X25))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t10_surrealr])])])])).
cnf(c_0_23, plain, (r1_surrealo(X1,X2)|~r2_surrealo(X1,X2)|~v2_surreal0(X2)|~v2_surreal0(X1)), inference(split_conjunct,[status(thm)],[c_0_17])).
cnf(c_0_24, negated_conjecture, (r2_surrealo(esk1_0,esk2_0)), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_25, 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_18])).
cnf(c_0_26, plain, (r5_surreal0(X1,X2)|~r1_surrealo(X1,X2)|~v2_surreal0(X1)|~v2_surreal0(X2)), inference(split_conjunct,[status(thm)],[c_0_19])).
cnf(c_0_27, plain, (r1_surrealo(X1,X2)|~r2_surrealo(X2,X1)|~v2_surreal0(X1)|~v2_surreal0(X2)), inference(split_conjunct,[status(thm)],[c_0_17])).
cnf(c_0_28, negated_conjecture, (r1_surrealo(k11_surreal0,esk2_0)|r1_surrealo(k11_surreal0,esk1_0)|~r1_surrealo(k2_surrealr(esk2_0),k2_surrealr(esk1_0))|~r1_surrealo(k2_surrealr(esk1_0),k2_surrealr(esk2_0))|~v2_surreal0(k2_surrealr(esk2_0))|~v2_surreal0(k2_surrealr(esk1_0))), inference(spm,[status(thm)],[c_0_20, c_0_21])).
cnf(c_0_29, plain, (r1_surrealo(k2_surrealr(X2),k2_surrealr(X1))|~r1_surrealo(X1,X2)|~v2_surreal0(X2)|~v2_surreal0(X1)), inference(split_conjunct,[status(thm)],[c_0_22])).
cnf(c_0_30, negated_conjecture, (r1_surrealo(esk1_0,esk2_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23, c_0_24]), c_0_14]), c_0_16])])).
cnf(c_0_31, 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_25, c_0_26])).
cnf(c_0_32, negated_conjecture, (r1_surrealo(esk2_0,esk1_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27, c_0_24]), c_0_16]), c_0_14])])).
cnf(c_0_33, negated_conjecture, (r1_surrealo(k11_surreal0,esk1_0)|r1_surrealo(k11_surreal0,esk2_0)|~r1_surrealo(k2_surrealr(esk1_0),k2_surrealr(esk2_0))|~v2_surreal0(k2_surrealr(esk2_0))|~v2_surreal0(k2_surrealr(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28, c_0_29]), c_0_30]), c_0_14]), c_0_16])])).
fof(c_0_34, plain, ![X22]:(~v2_surreal0(X22)|v2_surreal0(k2_surrealr(X22))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc3_surrealr])])).
cnf(c_0_35, negated_conjecture, (r5_surreal0(X1,esk1_0)|~r5_surreal0(X1,esk2_0)|~v2_surreal0(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31, c_0_32]), c_0_16]), c_0_14])])).
cnf(c_0_36, negated_conjecture, (r1_surrealo(k11_surreal0,esk2_0)|r1_surrealo(k11_surreal0,esk1_0)|~v2_surreal0(k2_surrealr(esk2_0))|~v2_surreal0(k2_surrealr(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33, c_0_29]), c_0_32]), c_0_16]), c_0_14])])).
cnf(c_0_37, plain, (v2_surreal0(k2_surrealr(X1))|~v2_surreal0(X1)), inference(split_conjunct,[status(thm)],[c_0_34])).
cnf(c_0_38, plain, (k4_surrealc(X1)=X1|~r1_surrealo(k11_surreal0,X1)|~v2_surreal0(X1)), inference(split_conjunct,[status(thm)],[c_0_11])).
cnf(c_0_39, plain, (r1_surrealo(X1,X2)|~r5_surreal0(X1,X2)|~v2_surreal0(X1)|~v2_surreal0(X2)), inference(split_conjunct,[status(thm)],[c_0_19])).
cnf(c_0_40, negated_conjecture, (r5_surreal0(X1,esk1_0)|~r1_surrealo(X1,esk2_0)|~v2_surreal0(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35, c_0_26]), c_0_14])])).
cnf(c_0_41, negated_conjecture, (r1_surrealo(k11_surreal0,esk1_0)|r1_surrealo(k11_surreal0,esk2_0)|~v2_surreal0(k2_surrealr(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36, c_0_37]), c_0_14])])).
cnf(c_0_42, negated_conjecture, (~r1_surrealo(k11_surreal0,esk2_0)|~r2_surrealo(k4_surrealc(esk1_0),esk2_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12, c_0_38]), c_0_14])])).
cnf(c_0_43, negated_conjecture, (r1_surrealo(X1,esk1_0)|~r1_surrealo(X1,esk2_0)|~v2_surreal0(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39, c_0_40]), c_0_16])])).
cnf(c_0_44, negated_conjecture, (r1_surrealo(k11_surreal0,esk2_0)|r1_surrealo(k11_surreal0,esk1_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41, c_0_37]), c_0_16])])).
cnf(c_0_45, plain, (v2_surreal0(k11_surreal0)), inference(split_conjunct,[status(thm)],[fc21_surrealn])).
cnf(c_0_46, negated_conjecture, (r5_surreal0(X1,esk2_0)|~r5_surreal0(X1,esk1_0)|~v2_surreal0(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31, c_0_30]), c_0_14]), c_0_16])])).
cnf(c_0_47, negated_conjecture, (~r1_surrealo(k11_surreal0,esk2_0)|~r1_surrealo(k11_surreal0,esk1_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42, c_0_38]), c_0_24]), c_0_16])])).
cnf(c_0_48, negated_conjecture, (r1_surrealo(k11_surreal0,esk1_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43, c_0_44]), c_0_45])])).
cnf(c_0_49, negated_conjecture, (r1_surrealo(X1,esk2_0)|~r5_surreal0(X1,esk1_0)|~v2_surreal0(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39, c_0_46]), c_0_14])])).
cnf(c_0_50, negated_conjecture, (~r1_surrealo(k11_surreal0,esk2_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_47, c_0_48])])).
cnf(c_0_51, negated_conjecture, (r1_surrealo(X1,esk2_0)|~r1_surrealo(X1,esk1_0)|~v2_surreal0(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49, c_0_26]), c_0_16])])).
cnf(c_0_52, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50, c_0_51]), c_0_48]), c_0_45])]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 53
# Proof object clause steps            : 36
# Proof object formula steps           : 17
# Proof object conjectures             : 27
# Proof object clause conjectures      : 24
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 15
# Proof object initial formulas used   : 8
# Proof object generating inferences   : 20
# Proof object simplifying inferences  : 48
# 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                    : 95
# ...of these trivial                  : 0
# ...subsumed                          : 20
# ...remaining for further processing  : 75
# Other redundant clauses eliminated   : 0
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 5
# Backward-rewritten                   : 13
# Generated clauses                    : 79
# ...of the previous two non-trivial   : 71
# Contextual simplify-reflections      : 2
# Paramodulations                      : 79
# 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  : 40
#    Positive orientable unit clauses  : 9
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 4
#    Non-unit-clauses                  : 27
# Current number of unprocessed clauses: 9
# ...number of literals in the above   : 43
# Current number of archived formulas  : 0
# Current number of archived clauses   : 35
# Clause-clause subsumption calls (NU) : 236
# Rec. Clause-clause subsumption calls : 98
# Non-unit clause-clause subsumptions  : 24
# Unit Clause-clause subsumption calls : 45
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 1
# BW rewrite match successes           : 1
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 2642

# -------------------------------------------------
# User time                : 0.014 s
# System time              : 0.008 s
# Total time               : 0.021 s
# Maximum resident set size: 3648 pages
