# 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       : 0.019 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(t38_surrealc, conjecture, ![X1]:(v2_surreal0(X1)=>(r2_surrealo(X1,k11_surreal0)=>r2_surrealo(k4_surrealc(k2_surrealr(X1)),k4_surrealc(X1)))), file('surrealc/surrealc__t38_surrealc', t38_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__t38_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__t38_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__t38_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__t38_surrealc', redefinition_r1_surrealo)).
fof(fc3_surrealo, axiom, (v2_surreal0(k11_surreal0)&v2_surrealo(k11_surreal0)), file('surrealc/surrealc__t38_surrealc', fc3_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__t38_surrealc', t10_surrealr)).
fof(rd2_surrealr, axiom, k2_surrealr(k11_surreal0)=k11_surreal0, file('surrealc/surrealc__t38_surrealc', rd2_surrealr)).
fof(fc3_surrealr, axiom, ![X1]:(v2_surreal0(X1)=>v2_surreal0(k2_surrealr(X1))), file('surrealc/surrealc__t38_surrealc', fc3_surrealr)).
fof(c_0_9, negated_conjecture, ~(![X1]:(v2_surreal0(X1)=>(r2_surrealo(X1,k11_surreal0)=>r2_surrealo(k4_surrealc(k2_surrealr(X1)),k4_surrealc(X1))))), inference(assume_negation,[status(cth)],[t38_surrealc])).
fof(c_0_10, 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_11, negated_conjecture, (v2_surreal0(esk1_0)&(r2_surrealo(esk1_0,k11_surreal0)&~r2_surrealo(k4_surrealc(k2_surrealr(esk1_0)),k4_surrealc(esk1_0)))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])])).
fof(c_0_12, plain, ![X19]:((~r1_surrealo(k11_surreal0,X19)|k4_surrealc(X19)=X19|~v2_surreal0(X19))&(r1_surrealo(k11_surreal0,X19)|k4_surrealc(X19)=k2_surrealr(X19)|~v2_surreal0(X19))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])])).
fof(c_0_13, plain, ![X17, X18]:(((r1_surrealo(X17,X18)|~r2_surrealo(X17,X18)|~v2_surreal0(X18)|~v2_surreal0(X17))&(r1_surrealo(X18,X17)|~r2_surrealo(X17,X18)|~v2_surreal0(X18)|~v2_surreal0(X17)))&(~r1_surrealo(X17,X18)|~r1_surrealo(X18,X17)|r2_surrealo(X17,X18)|~v2_surreal0(X18)|~v2_surreal0(X17))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d2_surrealo])])])])).
fof(c_0_14, plain, ![X25, X26, X27]:(~v2_surreal0(X25)|(~v2_surreal0(X26)|(~v2_surreal0(X27)|(~r5_surreal0(X25,X26)|~r5_surreal0(X26,X27)|r5_surreal0(X25,X27))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t4_surrealo])])])).
fof(c_0_15, plain, ![X21, X22]:((~r1_surrealo(X21,X22)|r5_surreal0(X21,X22)|(~v2_surreal0(X21)|~v2_surreal0(X22)))&(~r5_surreal0(X21,X22)|r1_surrealo(X21,X22)|(~v2_surreal0(X21)|~v2_surreal0(X22)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_r1_surrealo])])])).
cnf(c_0_16, negated_conjecture, (~r2_surrealo(k4_surrealc(k2_surrealr(esk1_0)),k4_surrealc(esk1_0))), inference(split_conjunct,[status(thm)],[c_0_11])).
cnf(c_0_17, plain, (k4_surrealc(X1)=X1|~r1_surrealo(k11_surreal0,X1)|~v2_surreal0(X1)), inference(split_conjunct,[status(thm)],[c_0_12])).
cnf(c_0_18, negated_conjecture, (v2_surreal0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_11])).
cnf(c_0_19, plain, (r1_surrealo(X1,X2)|~r2_surrealo(X2,X1)|~v2_surreal0(X1)|~v2_surreal0(X2)), inference(split_conjunct,[status(thm)],[c_0_13])).
cnf(c_0_20, negated_conjecture, (r2_surrealo(esk1_0,k11_surreal0)), inference(split_conjunct,[status(thm)],[c_0_11])).
cnf(c_0_21, plain, (v2_surreal0(k11_surreal0)), inference(split_conjunct,[status(thm)],[fc3_surrealo])).
cnf(c_0_22, 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_14])).
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_15])).
cnf(c_0_24, negated_conjecture, (~r1_surrealo(k11_surreal0,esk1_0)|~r2_surrealo(k4_surrealc(k2_surrealr(esk1_0)),esk1_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16, c_0_17]), c_0_18])])).
cnf(c_0_25, negated_conjecture, (r1_surrealo(k11_surreal0,esk1_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19, c_0_20]), c_0_18]), c_0_21])])).
cnf(c_0_26, 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_22, c_0_23])).
fof(c_0_27, plain, ![X23, X24]:((~r1_surrealo(X23,X24)|r1_surrealo(k2_surrealr(X24),k2_surrealr(X23))|~v2_surreal0(X24)|~v2_surreal0(X23))&(~r1_surrealo(k2_surrealr(X24),k2_surrealr(X23))|r1_surrealo(X23,X24)|~v2_surreal0(X24)|~v2_surreal0(X23))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t10_surrealr])])])])).
cnf(c_0_28, negated_conjecture, (~r2_surrealo(k4_surrealc(k2_surrealr(esk1_0)),esk1_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_24, c_0_25])])).
cnf(c_0_29, plain, (r1_surrealo(X1,X2)|~r5_surreal0(X1,X2)|~v2_surreal0(X1)|~v2_surreal0(X2)), inference(split_conjunct,[status(thm)],[c_0_15])).
cnf(c_0_30, negated_conjecture, (r5_surreal0(X1,esk1_0)|~r5_surreal0(X1,k11_surreal0)|~v2_surreal0(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26, c_0_25]), c_0_18]), c_0_21])])).
cnf(c_0_31, 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_27])).
cnf(c_0_32, plain, (k2_surrealr(k11_surreal0)=k11_surreal0), inference(split_conjunct,[status(thm)],[rd2_surrealr])).
fof(c_0_33, plain, ![X20]:(~v2_surreal0(X20)|v2_surreal0(k2_surrealr(X20))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc3_surrealr])])).
cnf(c_0_34, plain, (r1_surrealo(X1,X2)|~r2_surrealo(X1,X2)|~v2_surreal0(X2)|~v2_surreal0(X1)), inference(split_conjunct,[status(thm)],[c_0_13])).
cnf(c_0_35, negated_conjecture, (~r1_surrealo(k11_surreal0,k2_surrealr(esk1_0))|~r2_surrealo(k2_surrealr(esk1_0),esk1_0)|~v2_surreal0(k2_surrealr(esk1_0))), inference(spm,[status(thm)],[c_0_28, c_0_17])).
cnf(c_0_36, 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_13])).
cnf(c_0_37, negated_conjecture, (r1_surrealo(X1,esk1_0)|~r5_surreal0(X1,k11_surreal0)|~v2_surreal0(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29, c_0_30]), c_0_18])])).
cnf(c_0_38, plain, (r1_surrealo(k11_surreal0,k2_surrealr(X1))|~r1_surrealo(X1,k11_surreal0)|~v2_surreal0(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31, c_0_32]), c_0_21])])).
cnf(c_0_39, plain, (v2_surreal0(k2_surrealr(X1))|~v2_surreal0(X1)), inference(split_conjunct,[status(thm)],[c_0_33])).
cnf(c_0_40, negated_conjecture, (r1_surrealo(esk1_0,k11_surreal0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34, c_0_20]), c_0_21]), c_0_18])])).
cnf(c_0_41, negated_conjecture, (~r1_surrealo(k11_surreal0,k2_surrealr(esk1_0))|~r1_surrealo(esk1_0,k2_surrealr(esk1_0))|~r1_surrealo(k2_surrealr(esk1_0),esk1_0)|~v2_surreal0(k2_surrealr(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35, c_0_36]), c_0_18])])).
cnf(c_0_42, negated_conjecture, (r1_surrealo(X1,esk1_0)|~r1_surrealo(X1,k11_surreal0)|~v2_surreal0(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37, c_0_23]), c_0_21])])).
cnf(c_0_43, plain, (r5_surreal0(X1,k2_surrealr(X2))|~r5_surreal0(X1,k11_surreal0)|~r1_surrealo(X2,k11_surreal0)|~v2_surreal0(X1)|~v2_surreal0(X2)), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26, c_0_38]), c_0_21])]), c_0_39])).
cnf(c_0_44, negated_conjecture, (r5_surreal0(X1,k11_surreal0)|~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_26, c_0_40]), c_0_21]), c_0_18])])).
cnf(c_0_45, negated_conjecture, (~r1_surrealo(k11_surreal0,k2_surrealr(esk1_0))|~r1_surrealo(esk1_0,k2_surrealr(esk1_0))|~r1_surrealo(k2_surrealr(esk1_0),k11_surreal0)|~v2_surreal0(k2_surrealr(esk1_0))), inference(spm,[status(thm)],[c_0_41, c_0_42])).
cnf(c_0_46, plain, (r1_surrealo(k2_surrealr(X1),k11_surreal0)|~r1_surrealo(k11_surreal0,X1)|~v2_surreal0(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31, c_0_32]), c_0_21])])).
cnf(c_0_47, plain, (r1_surrealo(X1,k2_surrealr(X2))|~r5_surreal0(X1,k11_surreal0)|~r1_surrealo(X2,k11_surreal0)|~v2_surreal0(X1)|~v2_surreal0(X2)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_29, c_0_43]), c_0_39])).
cnf(c_0_48, negated_conjecture, (r5_surreal0(X1,k11_surreal0)|~r1_surrealo(X1,esk1_0)|~v2_surreal0(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44, c_0_23]), c_0_18])])).
cnf(c_0_49, negated_conjecture, (~r1_surrealo(k11_surreal0,k2_surrealr(esk1_0))|~r1_surrealo(esk1_0,k2_surrealr(esk1_0))|~v2_surreal0(k2_surrealr(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45, c_0_46]), c_0_25]), c_0_18])])).
cnf(c_0_50, plain, (r1_surrealo(X1,k2_surrealr(X2))|~r1_surrealo(X2,k11_surreal0)|~r1_surrealo(X1,k11_surreal0)|~v2_surreal0(X1)|~v2_surreal0(X2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47, c_0_23]), c_0_21])])).
cnf(c_0_51, negated_conjecture, (r1_surrealo(X1,k11_surreal0)|~r1_surrealo(X1,esk1_0)|~v2_surreal0(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29, c_0_48]), c_0_21])])).
cnf(c_0_52, negated_conjecture, (~r1_surrealo(k11_surreal0,k2_surrealr(esk1_0))|~v2_surreal0(k2_surrealr(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49, c_0_50]), c_0_40]), c_0_18])])).
cnf(c_0_53, negated_conjecture, (r1_surrealo(k11_surreal0,k11_surreal0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51, c_0_25]), c_0_21])])).
cnf(c_0_54, negated_conjecture, (~v2_surreal0(k2_surrealr(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52, c_0_50]), c_0_40]), c_0_53]), c_0_21]), c_0_18])])).
cnf(c_0_55, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54, c_0_39]), c_0_18])]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 56
# Proof object clause steps            : 38
# Proof object formula steps           : 18
# Proof object conjectures             : 24
# Proof object clause conjectures      : 21
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 14
# Proof object initial formulas used   : 9
# Proof object generating inferences   : 23
# Proof object simplifying inferences  : 51
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 9
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 17
# Removed in clause preprocessing      : 0
# Initial clauses in saturation        : 17
# Processed clauses                    : 155
# ...of these trivial                  : 6
# ...subsumed                          : 57
# ...remaining for further processing  : 92
# Other redundant clauses eliminated   : 0
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 6
# Backward-rewritten                   : 1
# Generated clauses                    : 203
# ...of the previous two non-trivial   : 150
# Contextual simplify-reflections      : 10
# Paramodulations                      : 203
# 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  : 68
#    Positive orientable unit clauses  : 10
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 3
#    Non-unit-clauses                  : 55
# Current number of unprocessed clauses: 28
# ...number of literals in the above   : 171
# Current number of archived formulas  : 0
# Current number of archived clauses   : 24
# Clause-clause subsumption calls (NU) : 899
# Rec. Clause-clause subsumption calls : 361
# Non-unit clause-clause subsumptions  : 73
# Unit Clause-clause subsumption calls : 31
# 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          : 4993

# -------------------------------------------------
# User time                : 0.020 s
# System time              : 0.007 s
# Total time               : 0.027 s
# Maximum resident set size: 2936 pages
