# No SInE strategy applied
# Trying AutoSched0 for 161 seconds
# AutoSched0-Mode selected heuristic G_E___107_C48_F1_PI_AE_Q4_CS_SP_PS_S0Y
# and selection function SelectMaxLComplexAvoidPosPred.
#
# Preprocessing time       : 0.020 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
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__t33_surrealc', t10_surrealr)).
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__t33_surrealc', d6_surrealc)).
fof(rd2_surrealr, axiom, k2_surrealr(k11_surreal0)=k11_surreal0, file('surrealc/surrealc__t33_surrealc', rd2_surrealr)).
fof(fc3_surrealo, axiom, (v2_surreal0(k11_surreal0)&v2_surrealo(k11_surreal0)), file('surrealc/surrealc__t33_surrealc', fc3_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('surrealc/surrealc__t33_surrealc', d2_surrealo)).
fof(t33_surrealc, conjecture, ![X1]:(v2_surreal0(X1)=>(r2_surrealo(X1,k11_surreal0)<=>r2_surrealo(k4_surrealc(X1),k11_surreal0))), file('surrealc/surrealc__t33_surrealc', t33_surrealc)).
fof(dt_k4_surrealc, axiom, ![X1]:(v2_surreal0(X1)=>v2_surreal0(k4_surrealc(X1))), file('surrealc/surrealc__t33_surrealc', dt_k4_surrealc)).
fof(c_0_7, plain, ![X15, X16]:((~r1_surrealo(X15,X16)|r1_surrealo(k2_surrealr(X16),k2_surrealr(X15))|~v2_surreal0(X16)|~v2_surreal0(X15))&(~r1_surrealo(k2_surrealr(X16),k2_surrealr(X15))|r1_surrealo(X15,X16)|~v2_surreal0(X16)|~v2_surreal0(X15))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t10_surrealr])])])])).
fof(c_0_8, 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])).
cnf(c_0_9, plain, (r1_surrealo(X2,X1)|~r1_surrealo(k2_surrealr(X1),k2_surrealr(X2))|~v2_surreal0(X1)|~v2_surreal0(X2)), inference(split_conjunct,[status(thm)],[c_0_7])).
cnf(c_0_10, plain, (k2_surrealr(k11_surreal0)=k11_surreal0), inference(split_conjunct,[status(thm)],[rd2_surrealr])).
cnf(c_0_11, plain, (v2_surreal0(k11_surreal0)), inference(split_conjunct,[status(thm)],[fc3_surrealo])).
fof(c_0_12, plain, ![X11, X12]:(((r1_surrealo(X11,X12)|~r2_surrealo(X11,X12)|~v2_surreal0(X12)|~v2_surreal0(X11))&(r1_surrealo(X12,X11)|~r2_surrealo(X11,X12)|~v2_surreal0(X12)|~v2_surreal0(X11)))&(~r1_surrealo(X11,X12)|~r1_surrealo(X12,X11)|r2_surrealo(X11,X12)|~v2_surreal0(X12)|~v2_surreal0(X11))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d2_surrealo])])])])).
fof(c_0_13, plain, ![X13]:((~r1_surrealo(k11_surreal0,X13)|k4_surrealc(X13)=X13|~v2_surreal0(X13))&(r1_surrealo(k11_surreal0,X13)|k4_surrealc(X13)=k2_surrealr(X13)|~v2_surreal0(X13))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])])).
fof(c_0_14, negated_conjecture, ~(![X1]:(v2_surreal0(X1)=>(r2_surrealo(X1,k11_surreal0)<=>r2_surrealo(k4_surrealc(X1),k11_surreal0)))), inference(assume_negation,[status(cth)],[t33_surrealc])).
cnf(c_0_15, plain, (r1_surrealo(k11_surreal0,X1)|~r1_surrealo(k2_surrealr(X1),k11_surreal0)|~v2_surreal0(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9, c_0_10]), c_0_11])])).
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_12])).
cnf(c_0_17, plain, (k4_surrealc(X1)=X1|~r1_surrealo(k11_surreal0,X1)|~v2_surreal0(X1)), inference(split_conjunct,[status(thm)],[c_0_13])).
cnf(c_0_18, plain, (r1_surrealo(k11_surreal0,X1)|k4_surrealc(X1)=k2_surrealr(X1)|~v2_surreal0(X1)), inference(split_conjunct,[status(thm)],[c_0_13])).
fof(c_0_19, plain, ![X14]:(~v2_surreal0(X14)|v2_surreal0(k4_surrealc(X14))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k4_surrealc])])).
cnf(c_0_20, 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_12])).
cnf(c_0_21, plain, (r1_surrealo(X1,X2)|~r2_surrealo(X1,X2)|~v2_surreal0(X2)|~v2_surreal0(X1)), inference(split_conjunct,[status(thm)],[c_0_12])).
fof(c_0_22, negated_conjecture, (v2_surreal0(esk1_0)&((~r2_surrealo(esk1_0,k11_surreal0)|~r2_surrealo(k4_surrealc(esk1_0),k11_surreal0))&(r2_surrealo(esk1_0,k11_surreal0)|r2_surrealo(k4_surrealc(esk1_0),k11_surreal0)))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])])).
cnf(c_0_23, plain, (r1_surrealo(k11_surreal0,X1)|~r2_surrealo(k11_surreal0,k2_surrealr(X1))|~v2_surreal0(k2_surrealr(X1))|~v2_surreal0(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15, c_0_16]), c_0_11])])).
cnf(c_0_24, plain, (k2_surrealr(X1)=k4_surrealc(X1)|k4_surrealc(X1)=X1|~v2_surreal0(X1)), inference(spm,[status(thm)],[c_0_17, c_0_18])).
cnf(c_0_25, plain, (v2_surreal0(k4_surrealc(X1))|~v2_surreal0(X1)), inference(split_conjunct,[status(thm)],[c_0_19])).
cnf(c_0_26, plain, (r2_surrealo(X1,X2)|~r2_surrealo(X2,X1)|~v2_surreal0(X2)|~v2_surreal0(X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_20, c_0_21]), c_0_16])).
cnf(c_0_27, negated_conjecture, (r2_surrealo(esk1_0,k11_surreal0)|r2_surrealo(k4_surrealc(esk1_0),k11_surreal0)), inference(split_conjunct,[status(thm)],[c_0_22])).
cnf(c_0_28, plain, (k4_surrealc(X1)=X1|~r2_surrealo(k11_surreal0,k4_surrealc(X1))|~v2_surreal0(X1)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_23, c_0_24]), c_0_25]), c_0_17])).
cnf(c_0_29, negated_conjecture, (r2_surrealo(k11_surreal0,k4_surrealc(esk1_0))|r2_surrealo(esk1_0,k11_surreal0)|~v2_surreal0(k4_surrealc(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26, c_0_27]), c_0_11])])).
cnf(c_0_30, negated_conjecture, (v2_surreal0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_22])).
cnf(c_0_31, plain, (k4_surrealc(X1)=X1|~r2_surrealo(X1,k11_surreal0)|~v2_surreal0(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17, c_0_16]), c_0_11])])).
cnf(c_0_32, negated_conjecture, (k4_surrealc(esk1_0)=esk1_0|r2_surrealo(esk1_0,k11_surreal0)|~v2_surreal0(k4_surrealc(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28, c_0_29]), c_0_30])])).
cnf(c_0_33, negated_conjecture, (k4_surrealc(esk1_0)=esk1_0|~v2_surreal0(k4_surrealc(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31, c_0_32]), c_0_30])])).
cnf(c_0_34, negated_conjecture, (k4_surrealc(esk1_0)=esk1_0), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33, c_0_25]), c_0_30])])).
cnf(c_0_35, negated_conjecture, (~r2_surrealo(esk1_0,k11_surreal0)|~r2_surrealo(k4_surrealc(esk1_0),k11_surreal0)), inference(split_conjunct,[status(thm)],[c_0_22])).
cnf(c_0_36, negated_conjecture, (r2_surrealo(esk1_0,k11_surreal0)|r2_surrealo(k11_surreal0,esk1_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_29, c_0_34]), c_0_34]), c_0_30])])).
cnf(c_0_37, negated_conjecture, (~r2_surrealo(esk1_0,k11_surreal0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_35, c_0_34])])).
cnf(c_0_38, negated_conjecture, (r2_surrealo(k11_surreal0,esk1_0)), inference(sr,[status(thm)],[c_0_36, c_0_37])).
cnf(c_0_39, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26, c_0_38]), c_0_11]), c_0_30])]), c_0_37]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 40
# Proof object clause steps            : 26
# Proof object formula steps           : 14
# Proof object conjectures             : 14
# Proof object clause conjectures      : 11
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 12
# Proof object initial formulas used   : 7
# Proof object generating inferences   : 11
# Proof object simplifying inferences  : 28
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 7
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 14
# Removed in clause preprocessing      : 0
# Initial clauses in saturation        : 14
# Processed clauses                    : 56
# ...of these trivial                  : 0
# ...subsumed                          : 4
# ...remaining for further processing  : 52
# Other redundant clauses eliminated   : 0
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 1
# Backward-rewritten                   : 5
# Generated clauses                    : 74
# ...of the previous two non-trivial   : 55
# Contextual simplify-reflections      : 3
# Paramodulations                      : 73
# 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  : 31
#    Positive orientable unit clauses  : 7
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 1
#    Non-unit-clauses                  : 23
# Current number of unprocessed clauses: 27
# ...number of literals in the above   : 131
# Current number of archived formulas  : 0
# Current number of archived clauses   : 21
# Clause-clause subsumption calls (NU) : 68
# Rec. Clause-clause subsumption calls : 52
# Non-unit clause-clause subsumptions  : 8
# Unit Clause-clause subsumption calls : 1
# 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          : 2297

# -------------------------------------------------
# User time                : 0.024 s
# System time              : 0.000 s
# Total time               : 0.024 s
# Maximum resident set size: 2884 pages
