# 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(t61_surrealc, conjecture, ![X1]:(v2_surreal0(X1)=>![X2]:(v2_surreal0(X2)=>~(((~(r2_surrealo(X1,k11_surreal0))&~(r2_surrealo(X2,k11_surreal0)))&~((k5_surrealc(X1)=k5_surrealc(X2)<=>r1_surrealc(k4_surrealc(X1),k4_surrealc(X2)))))))), file('surrealc/surrealc__t61_surrealc', t61_surrealc)).
fof(symmetry_r1_surrealc, axiom, ![X1, X2]:((v2_surreal0(X1)&v2_surreal0(X2))=>(r1_surrealc(X1,X2)=>r1_surrealc(X2,X1))), file('surrealc/surrealc__t61_surrealc', symmetry_r1_surrealc)).
fof(t4_surrealc, axiom, ![X1]:(v2_surreal0(X1)=>![X2]:(v2_surreal0(X2)=>![X3]:(v2_surreal0(X3)=>((r1_surrealc(X1,X2)&r1_surrealc(X2,X3))=>r1_surrealc(X1,X3))))), file('surrealc/surrealc__t61_surrealc', t4_surrealc)).
fof(d7_surrealc, axiom, ![X1]:(v2_surreal0(X1)=>(~(r2_surrealo(X1,k11_surreal0))=>![X2]:((v2_surreal0(X2)&v2_surrealo(X2))=>(X2=k5_surrealc(X1)<=>r1_surrealc(k4_surrealc(X1),k3_surrealc(X2)))))), file('surrealc/surrealc__t61_surrealc', d7_surrealc)).
fof(dt_k4_surrealc, axiom, ![X1]:(v2_surreal0(X1)=>v2_surreal0(k4_surrealc(X1))), file('surrealc/surrealc__t61_surrealc', dt_k4_surrealc)).
fof(fc1_surrealc, axiom, ![X1]:(v2_surreal0(X1)=>v2_surreal0(k3_surrealc(X1))), file('surrealc/surrealc__t61_surrealc', fc1_surrealc)).
fof(dt_k5_surrealc, axiom, ![X1]:(v2_surreal0(X1)=>(v2_surreal0(k5_surrealc(X1))&v2_surrealo(k5_surrealc(X1)))), file('surrealc/surrealc__t61_surrealc', dt_k5_surrealc)).
fof(c_0_7, negated_conjecture, ~(![X1]:(v2_surreal0(X1)=>![X2]:(v2_surreal0(X2)=>~(((~r2_surrealo(X1,k11_surreal0)&~r2_surrealo(X2,k11_surreal0))&~((k5_surrealc(X1)=k5_surrealc(X2)<=>r1_surrealc(k4_surrealc(X1),k4_surrealc(X2))))))))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t61_surrealc])])).
fof(c_0_8, plain, ![X23, X24]:(~v2_surreal0(X23)|~v2_surreal0(X24)|(~r1_surrealc(X23,X24)|r1_surrealc(X24,X23))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[symmetry_r1_surrealc])])).
fof(c_0_9, negated_conjecture, (v2_surreal0(esk1_0)&(v2_surreal0(esk2_0)&((~r2_surrealo(esk1_0,k11_surreal0)&~r2_surrealo(esk2_0,k11_surreal0))&((k5_surrealc(esk1_0)!=k5_surrealc(esk2_0)|~r1_surrealc(k4_surrealc(esk1_0),k4_surrealc(esk2_0)))&(k5_surrealc(esk1_0)=k5_surrealc(esk2_0)|r1_surrealc(k4_surrealc(esk1_0),k4_surrealc(esk2_0))))))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])])).
fof(c_0_10, plain, ![X25, X26, X27]:(~v2_surreal0(X25)|(~v2_surreal0(X26)|(~v2_surreal0(X27)|(~r1_surrealc(X25,X26)|~r1_surrealc(X26,X27)|r1_surrealc(X25,X27))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t4_surrealc])])])).
cnf(c_0_11, plain, (r1_surrealc(X2,X1)|~v2_surreal0(X1)|~v2_surreal0(X2)|~r1_surrealc(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_8])).
cnf(c_0_12, negated_conjecture, (k5_surrealc(esk1_0)=k5_surrealc(esk2_0)|r1_surrealc(k4_surrealc(esk1_0),k4_surrealc(esk2_0))), inference(split_conjunct,[status(thm)],[c_0_9])).
fof(c_0_13, plain, ![X1]:(v2_surreal0(X1)=>(~r2_surrealo(X1,k11_surreal0)=>![X2]:((v2_surreal0(X2)&v2_surrealo(X2))=>(X2=k5_surrealc(X1)<=>r1_surrealc(k4_surrealc(X1),k3_surrealc(X2)))))), inference(fof_simplification,[status(thm)],[d7_surrealc])).
cnf(c_0_14, plain, (r1_surrealc(X1,X3)|~v2_surreal0(X1)|~v2_surreal0(X2)|~v2_surreal0(X3)|~r1_surrealc(X1,X2)|~r1_surrealc(X2,X3)), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_15, negated_conjecture, (k5_surrealc(esk1_0)=k5_surrealc(esk2_0)|r1_surrealc(k4_surrealc(esk2_0),k4_surrealc(esk1_0))|~v2_surreal0(k4_surrealc(esk2_0))|~v2_surreal0(k4_surrealc(esk1_0))), inference(spm,[status(thm)],[c_0_11, c_0_12])).
fof(c_0_16, plain, ![X18, X19]:((X19!=k5_surrealc(X18)|r1_surrealc(k4_surrealc(X18),k3_surrealc(X19))|(~v2_surreal0(X19)|~v2_surrealo(X19))|r2_surrealo(X18,k11_surreal0)|~v2_surreal0(X18))&(~r1_surrealc(k4_surrealc(X18),k3_surrealc(X19))|X19=k5_surrealc(X18)|(~v2_surreal0(X19)|~v2_surrealo(X19))|r2_surrealo(X18,k11_surreal0)|~v2_surreal0(X18))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])])])).
fof(c_0_17, plain, ![X20]:(~v2_surreal0(X20)|v2_surreal0(k4_surrealc(X20))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k4_surrealc])])).
fof(c_0_18, plain, ![X22]:(~v2_surreal0(X22)|v2_surreal0(k3_surrealc(X22))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc1_surrealc])])).
cnf(c_0_19, negated_conjecture, (k5_surrealc(esk1_0)=k5_surrealc(esk2_0)|r1_surrealc(X1,k4_surrealc(esk1_0))|~r1_surrealc(X1,k4_surrealc(esk2_0))|~v2_surreal0(k4_surrealc(esk1_0))|~v2_surreal0(k4_surrealc(esk2_0))|~v2_surreal0(X1)), inference(spm,[status(thm)],[c_0_14, c_0_15])).
cnf(c_0_20, plain, (r1_surrealc(k4_surrealc(X2),k3_surrealc(X1))|r2_surrealo(X2,k11_surreal0)|X1!=k5_surrealc(X2)|~v2_surreal0(X1)|~v2_surrealo(X1)|~v2_surreal0(X2)), inference(split_conjunct,[status(thm)],[c_0_16])).
cnf(c_0_21, plain, (v2_surreal0(k4_surrealc(X1))|~v2_surreal0(X1)), inference(split_conjunct,[status(thm)],[c_0_17])).
cnf(c_0_22, plain, (v2_surreal0(k3_surrealc(X1))|~v2_surreal0(X1)), inference(split_conjunct,[status(thm)],[c_0_18])).
cnf(c_0_23, negated_conjecture, (k5_surrealc(esk1_0)=k5_surrealc(esk2_0)|r1_surrealc(k4_surrealc(esk1_0),X1)|~r1_surrealc(X1,k4_surrealc(esk2_0))|~v2_surreal0(k4_surrealc(esk1_0))|~v2_surreal0(k4_surrealc(esk2_0))|~v2_surreal0(X1)), inference(spm,[status(thm)],[c_0_11, c_0_19])).
cnf(c_0_24, plain, (r1_surrealc(k3_surrealc(X1),k4_surrealc(X2))|r2_surrealo(X2,k11_surreal0)|X1!=k5_surrealc(X2)|~v2_surrealo(X1)|~v2_surreal0(X2)|~v2_surreal0(X1)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_11, c_0_20]), c_0_21]), c_0_22])).
cnf(c_0_25, negated_conjecture, (v2_surreal0(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_9])).
cnf(c_0_26, negated_conjecture, (~r2_surrealo(esk2_0,k11_surreal0)), inference(split_conjunct,[status(thm)],[c_0_9])).
cnf(c_0_27, plain, (X2=k5_surrealc(X1)|r2_surrealo(X1,k11_surreal0)|~r1_surrealc(k4_surrealc(X1),k3_surrealc(X2))|~v2_surreal0(X2)|~v2_surrealo(X2)|~v2_surreal0(X1)), inference(split_conjunct,[status(thm)],[c_0_16])).
cnf(c_0_28, negated_conjecture, (k5_surrealc(esk1_0)=k5_surrealc(esk2_0)|r1_surrealc(k4_surrealc(esk1_0),k3_surrealc(X1))|X1!=k5_surrealc(esk2_0)|~v2_surrealo(X1)|~v2_surreal0(k4_surrealc(esk1_0))|~v2_surreal0(k4_surrealc(esk2_0))|~v2_surreal0(X1)), inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23, c_0_24]), c_0_25])]), c_0_26]), c_0_22])).
cnf(c_0_29, negated_conjecture, (v2_surreal0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_9])).
cnf(c_0_30, negated_conjecture, (~r2_surrealo(esk1_0,k11_surreal0)), inference(split_conjunct,[status(thm)],[c_0_9])).
fof(c_0_31, plain, ![X21]:((v2_surreal0(k5_surrealc(X21))|~v2_surreal0(X21))&(v2_surrealo(k5_surrealc(X21))|~v2_surreal0(X21))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k5_surrealc])])])).
cnf(c_0_32, negated_conjecture, (k5_surrealc(esk1_0)=k5_surrealc(esk2_0)|X1=k5_surrealc(esk1_0)|X1!=k5_surrealc(esk2_0)|~v2_surrealo(X1)|~v2_surreal0(k4_surrealc(esk1_0))|~v2_surreal0(k4_surrealc(esk2_0))|~v2_surreal0(X1)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27, c_0_28]), c_0_29])]), c_0_30])).
cnf(c_0_33, plain, (v2_surrealo(k5_surrealc(X1))|~v2_surreal0(X1)), inference(split_conjunct,[status(thm)],[c_0_31])).
cnf(c_0_34, plain, (v2_surreal0(k5_surrealc(X1))|~v2_surreal0(X1)), inference(split_conjunct,[status(thm)],[c_0_31])).
cnf(c_0_35, negated_conjecture, (k5_surrealc(esk1_0)=k5_surrealc(esk2_0)|k5_surrealc(X1)=k5_surrealc(esk1_0)|k5_surrealc(X1)!=k5_surrealc(esk2_0)|~v2_surreal0(k4_surrealc(esk1_0))|~v2_surreal0(k4_surrealc(esk2_0))|~v2_surreal0(X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_32, c_0_33]), c_0_34])).
cnf(c_0_36, negated_conjecture, (k5_surrealc(esk1_0)=k5_surrealc(esk2_0)|k5_surrealc(X1)=k5_surrealc(esk1_0)|k5_surrealc(X1)!=k5_surrealc(esk2_0)|~v2_surreal0(k4_surrealc(esk2_0))|~v2_surreal0(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35, c_0_21]), c_0_29])])).
cnf(c_0_37, plain, (r1_surrealc(X1,k4_surrealc(X2))|r2_surrealo(X2,k11_surreal0)|X3!=k5_surrealc(X2)|~v2_surrealo(X3)|~r1_surrealc(X1,k3_surrealc(X3))|~v2_surreal0(X1)|~v2_surreal0(X2)|~v2_surreal0(X3)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_14, c_0_24]), c_0_22]), c_0_21])).
cnf(c_0_38, negated_conjecture, (k5_surrealc(esk1_0)=k5_surrealc(esk2_0)|k5_surrealc(X1)=k5_surrealc(esk1_0)|k5_surrealc(X1)!=k5_surrealc(esk2_0)|~v2_surreal0(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36, c_0_21]), c_0_25])])).
cnf(c_0_39, plain, (r1_surrealc(k4_surrealc(X1),k4_surrealc(X2))|r2_surrealo(X1,k11_surreal0)|r2_surrealo(X2,k11_surreal0)|X3!=k5_surrealc(X2)|X3!=k5_surrealc(X1)|~v2_surrealo(X3)|~v2_surreal0(X2)|~v2_surreal0(X3)|~v2_surreal0(X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_37, c_0_20]), c_0_21])).
cnf(c_0_40, negated_conjecture, (k5_surrealc(esk1_0)=k5_surrealc(esk2_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_38]), c_0_25])])).
cnf(c_0_41, negated_conjecture, (r1_surrealc(k4_surrealc(X1),k4_surrealc(esk1_0))|r2_surrealo(X1,k11_surreal0)|X2!=k5_surrealc(esk2_0)|X2!=k5_surrealc(X1)|~v2_surrealo(X2)|~v2_surreal0(X2)|~v2_surreal0(X1)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39, c_0_40]), c_0_29])]), c_0_30])).
cnf(c_0_42, negated_conjecture, (k5_surrealc(esk1_0)!=k5_surrealc(esk2_0)|~r1_surrealc(k4_surrealc(esk1_0),k4_surrealc(esk2_0))), inference(split_conjunct,[status(thm)],[c_0_9])).
cnf(c_0_43, negated_conjecture, (r1_surrealc(k4_surrealc(X1),k4_surrealc(esk1_0))|r2_surrealo(X1,k11_surreal0)|k5_surrealc(X1)!=k5_surrealc(esk2_0)|~v2_surreal0(X1)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_41]), c_0_34]), c_0_33])).
cnf(c_0_44, negated_conjecture, (~r1_surrealc(k4_surrealc(esk1_0),k4_surrealc(esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_42, c_0_40])])).
cnf(c_0_45, negated_conjecture, (r1_surrealc(k4_surrealc(esk1_0),k4_surrealc(X1))|r2_surrealo(X1,k11_surreal0)|k5_surrealc(X1)!=k5_surrealc(esk2_0)|~v2_surreal0(k4_surrealc(esk1_0))|~v2_surreal0(X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_11, c_0_43]), c_0_21])).
cnf(c_0_46, negated_conjecture, (~v2_surreal0(k4_surrealc(esk1_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44, c_0_45]), c_0_25])]), c_0_26])).
cnf(c_0_47, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46, c_0_21]), c_0_29])]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 48
# Proof object clause steps            : 32
# Proof object formula steps           : 16
# 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   : 7
# Proof object generating inferences   : 17
# Proof object simplifying inferences  : 32
# 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                    : 62
# ...of these trivial                  : 0
# ...subsumed                          : 7
# ...remaining for further processing  : 55
# Other redundant clauses eliminated   : 0
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 2
# Backward-rewritten                   : 12
# Generated clauses                    : 62
# ...of the previous two non-trivial   : 54
# Contextual simplify-reflections      : 13
# Paramodulations                      : 58
# Factorizations                       : 0
# NegExts                              : 0
# Equation resolutions                 : 4
# 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  : 27
#    Positive orientable unit clauses  : 6
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 4
#    Non-unit-clauses                  : 17
# Current number of unprocessed clauses: 10
# ...number of literals in the above   : 77
# Current number of archived formulas  : 0
# Current number of archived clauses   : 28
# Clause-clause subsumption calls (NU) : 370
# Rec. Clause-clause subsumption calls : 104
# Non-unit clause-clause subsumptions  : 22
# Unit Clause-clause subsumption calls : 2
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 2
# BW rewrite match successes           : 2
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 2895

# -------------------------------------------------
# User time                : 0.022 s
# System time              : 0.004 s
# Total time               : 0.026 s
# Maximum resident set size: 2952 pages
