# No SInE strategy applied
# Trying AutoSched0 for 161 seconds
# AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S00AA
# and selection function SelectLargestOrientable.
#
# Preprocessing time       : 0.020 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(t5_surreali, conjecture, ![X1]:(v2_surreal0(X1)=>![X2, X3, X4]:((v1_relat_1(X4)&v1_funct_1(X4))=>(((v3_surreal0(X3)&v3_surreal0(X2))&v1_surreali(X4,X2))=>v3_surreal0(k3_surreali(X3,X1,X2,X4))))), file('surreali/surreali__t5_surreali', t5_surreali)).
fof(d3_surreali, axiom, ![X1, X2, X3, X4]:((v1_relat_1(X4)&v1_funct_1(X4))=>![X5]:(X5=k3_surreali(X1,X2,X3,X4)<=>![X6]:(r2_hidden(X6,X5)<=>?[X7]:(r2_hidden(X7,X1)&r2_hidden(X6,k2_surreali(X7,X2,X3,X4)))))), file('surreali/surreali__t5_surreali', d3_surreali)).
fof(d16_surreal0, axiom, ![X1]:(v3_surreal0(X1)<=>![X2]:(r2_hidden(X2,X1)=>v2_surreal0(X2))), file('surreali/surreali__t5_surreali', d16_surreal0)).
fof(t4_surreali, axiom, ![X1]:(v2_surreal0(X1)=>![X2]:(v2_surreal0(X2)=>![X3, X4]:((v1_relat_1(X4)&v1_funct_1(X4))=>v3_surreal0(k2_surreali(X2,X1,X3,X4))))), file('surreali/surreali__t5_surreali', t4_surreali)).
fof(c_0_4, negated_conjecture, ~(![X1]:(v2_surreal0(X1)=>![X2, X3, X4]:((v1_relat_1(X4)&v1_funct_1(X4))=>(((v3_surreal0(X3)&v3_surreal0(X2))&v1_surreali(X4,X2))=>v3_surreal0(k3_surreali(X3,X1,X2,X4)))))), inference(assume_negation,[status(cth)],[t5_surreali])).
fof(c_0_5, plain, ![X33, X34, X35, X36, X37, X38, X40, X41, X42, X44]:((((r2_hidden(esk6_6(X33,X34,X35,X36,X37,X38),X33)|~r2_hidden(X38,X37)|X37!=k3_surreali(X33,X34,X35,X36)|(~v1_relat_1(X36)|~v1_funct_1(X36)))&(r2_hidden(X38,k2_surreali(esk6_6(X33,X34,X35,X36,X37,X38),X34,X35,X36))|~r2_hidden(X38,X37)|X37!=k3_surreali(X33,X34,X35,X36)|(~v1_relat_1(X36)|~v1_funct_1(X36))))&(~r2_hidden(X41,X33)|~r2_hidden(X40,k2_surreali(X41,X34,X35,X36))|r2_hidden(X40,X37)|X37!=k3_surreali(X33,X34,X35,X36)|(~v1_relat_1(X36)|~v1_funct_1(X36))))&((~r2_hidden(esk7_5(X33,X34,X35,X36,X42),X42)|(~r2_hidden(X44,X33)|~r2_hidden(esk7_5(X33,X34,X35,X36,X42),k2_surreali(X44,X34,X35,X36)))|X42=k3_surreali(X33,X34,X35,X36)|(~v1_relat_1(X36)|~v1_funct_1(X36)))&((r2_hidden(esk8_5(X33,X34,X35,X36,X42),X33)|r2_hidden(esk7_5(X33,X34,X35,X36,X42),X42)|X42=k3_surreali(X33,X34,X35,X36)|(~v1_relat_1(X36)|~v1_funct_1(X36)))&(r2_hidden(esk7_5(X33,X34,X35,X36,X42),k2_surreali(esk8_5(X33,X34,X35,X36,X42),X34,X35,X36))|r2_hidden(esk7_5(X33,X34,X35,X36,X42),X42)|X42=k3_surreali(X33,X34,X35,X36)|(~v1_relat_1(X36)|~v1_funct_1(X36)))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[d3_surreali])])])])])])).
fof(c_0_6, negated_conjecture, (v2_surreal0(esk1_0)&((v1_relat_1(esk4_0)&v1_funct_1(esk4_0))&(((v3_surreal0(esk3_0)&v3_surreal0(esk2_0))&v1_surreali(esk4_0,esk2_0))&~v3_surreal0(k3_surreali(esk3_0,esk1_0,esk2_0,esk4_0))))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])])).
fof(c_0_7, plain, ![X29, X30, X31]:((~v3_surreal0(X29)|(~r2_hidden(X30,X29)|v2_surreal0(X30)))&((r2_hidden(esk5_1(X31),X31)|v3_surreal0(X31))&(~v2_surreal0(esk5_1(X31))|v3_surreal0(X31)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[d16_surreal0])])])])])])).
cnf(c_0_8, plain, (r2_hidden(esk6_6(X1,X2,X3,X4,X5,X6),X1)|~r2_hidden(X6,X5)|X5!=k3_surreali(X1,X2,X3,X4)|~v1_relat_1(X4)|~v1_funct_1(X4)), inference(split_conjunct,[status(thm)],[c_0_5])).
cnf(c_0_9, negated_conjecture, (~v3_surreal0(k3_surreali(esk3_0,esk1_0,esk2_0,esk4_0))), inference(split_conjunct,[status(thm)],[c_0_6])).
cnf(c_0_10, plain, (r2_hidden(esk5_1(X1),X1)|v3_surreal0(X1)), inference(split_conjunct,[status(thm)],[c_0_7])).
fof(c_0_11, plain, ![X46, X47, X48, X49]:(~v2_surreal0(X46)|(~v2_surreal0(X47)|(~v1_relat_1(X49)|~v1_funct_1(X49)|v3_surreal0(k2_surreali(X47,X46,X48,X49))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t4_surreali])])])).
cnf(c_0_12, plain, (r2_hidden(esk6_6(X1,X2,X3,X4,k3_surreali(X1,X2,X3,X4),X5),X1)|~r2_hidden(X5,k3_surreali(X1,X2,X3,X4))|~v1_funct_1(X4)|~v1_relat_1(X4)), inference(er,[status(thm)],[c_0_8])).
cnf(c_0_13, negated_conjecture, (r2_hidden(esk5_1(k3_surreali(esk3_0,esk1_0,esk2_0,esk4_0)),k3_surreali(esk3_0,esk1_0,esk2_0,esk4_0))), inference(spm,[status(thm)],[c_0_9, c_0_10])).
cnf(c_0_14, negated_conjecture, (v1_funct_1(esk4_0)), inference(split_conjunct,[status(thm)],[c_0_6])).
cnf(c_0_15, negated_conjecture, (v1_relat_1(esk4_0)), inference(split_conjunct,[status(thm)],[c_0_6])).
cnf(c_0_16, plain, (v3_surreal0(k2_surreali(X2,X1,X4,X3))|~v2_surreal0(X1)|~v2_surreal0(X2)|~v1_relat_1(X3)|~v1_funct_1(X3)), inference(split_conjunct,[status(thm)],[c_0_11])).
cnf(c_0_17, plain, (v2_surreal0(X2)|~v3_surreal0(X1)|~r2_hidden(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_7])).
cnf(c_0_18, negated_conjecture, (r2_hidden(esk6_6(esk3_0,esk1_0,esk2_0,esk4_0,k3_surreali(esk3_0,esk1_0,esk2_0,esk4_0),esk5_1(k3_surreali(esk3_0,esk1_0,esk2_0,esk4_0))),esk3_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12, c_0_13]), c_0_14]), c_0_15])])).
cnf(c_0_19, negated_conjecture, (v3_surreal0(esk3_0)), inference(split_conjunct,[status(thm)],[c_0_6])).
cnf(c_0_20, plain, (r2_hidden(X1,k2_surreali(esk6_6(X2,X3,X4,X5,X6,X1),X3,X4,X5))|~r2_hidden(X1,X6)|X6!=k3_surreali(X2,X3,X4,X5)|~v1_relat_1(X5)|~v1_funct_1(X5)), inference(split_conjunct,[status(thm)],[c_0_5])).
cnf(c_0_21, negated_conjecture, (v3_surreal0(k2_surreali(X1,X2,X3,esk4_0))|~v2_surreal0(X1)|~v2_surreal0(X2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16, c_0_14]), c_0_15])])).
cnf(c_0_22, negated_conjecture, (v2_surreal0(esk6_6(esk3_0,esk1_0,esk2_0,esk4_0,k3_surreali(esk3_0,esk1_0,esk2_0,esk4_0),esk5_1(k3_surreali(esk3_0,esk1_0,esk2_0,esk4_0))))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17, c_0_18]), c_0_19])])).
cnf(c_0_23, plain, (r2_hidden(X1,k2_surreali(esk6_6(X2,X3,X4,X5,k3_surreali(X2,X3,X4,X5),X1),X3,X4,X5))|~r2_hidden(X1,k3_surreali(X2,X3,X4,X5))|~v1_funct_1(X5)|~v1_relat_1(X5)), inference(er,[status(thm)],[c_0_20])).
cnf(c_0_24, negated_conjecture, (v3_surreal0(k2_surreali(esk6_6(esk3_0,esk1_0,esk2_0,esk4_0,k3_surreali(esk3_0,esk1_0,esk2_0,esk4_0),esk5_1(k3_surreali(esk3_0,esk1_0,esk2_0,esk4_0))),X1,X2,esk4_0))|~v2_surreal0(X1)), inference(spm,[status(thm)],[c_0_21, c_0_22])).
cnf(c_0_25, negated_conjecture, (v2_surreal0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_6])).
cnf(c_0_26, negated_conjecture, (r2_hidden(esk5_1(k3_surreali(esk3_0,esk1_0,esk2_0,esk4_0)),k2_surreali(esk6_6(esk3_0,esk1_0,esk2_0,esk4_0,k3_surreali(esk3_0,esk1_0,esk2_0,esk4_0),esk5_1(k3_surreali(esk3_0,esk1_0,esk2_0,esk4_0))),esk1_0,esk2_0,esk4_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23, c_0_13]), c_0_14]), c_0_15])])).
cnf(c_0_27, negated_conjecture, (v3_surreal0(k2_surreali(esk6_6(esk3_0,esk1_0,esk2_0,esk4_0,k3_surreali(esk3_0,esk1_0,esk2_0,esk4_0),esk5_1(k3_surreali(esk3_0,esk1_0,esk2_0,esk4_0))),esk1_0,X1,esk4_0))), inference(spm,[status(thm)],[c_0_24, c_0_25])).
cnf(c_0_28, plain, (v3_surreal0(X1)|~v2_surreal0(esk5_1(X1))), inference(split_conjunct,[status(thm)],[c_0_7])).
cnf(c_0_29, negated_conjecture, (v2_surreal0(esk5_1(k3_surreali(esk3_0,esk1_0,esk2_0,esk4_0)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17, c_0_26]), c_0_27])])).
cnf(c_0_30, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_28, c_0_29]), c_0_9]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 31
# Proof object clause steps            : 22
# Proof object formula steps           : 9
# Proof object conjectures             : 17
# Proof object clause conjectures      : 14
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 11
# Proof object initial formulas used   : 4
# Proof object generating inferences   : 9
# Proof object simplifying inferences  : 15
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 4
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 17
# Removed in clause preprocessing      : 0
# Initial clauses in saturation        : 17
# Processed clauses                    : 48
# ...of these trivial                  : 0
# ...subsumed                          : 1
# ...remaining for further processing  : 47
# Other redundant clauses eliminated   : 3
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 0
# Backward-rewritten                   : 0
# Generated clauses                    : 22
# ...of the previous two non-trivial   : 21
# Contextual simplify-reflections      : 0
# Paramodulations                      : 19
# Factorizations                       : 0
# NegExts                              : 0
# Equation resolutions                 : 3
# 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  : 14
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 1
#    Non-unit-clauses                  : 12
# Current number of unprocessed clauses: 4
# ...number of literals in the above   : 11
# Current number of archived formulas  : 0
# Current number of archived clauses   : 17
# Clause-clause subsumption calls (NU) : 78
# Rec. Clause-clause subsumption calls : 15
# Non-unit clause-clause subsumptions  : 0
# Unit Clause-clause subsumption calls : 5
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 0
# BW rewrite match successes           : 0
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 2050

# -------------------------------------------------
# User time                : 0.024 s
# System time              : 0.000 s
# Total time               : 0.024 s
# Maximum resident set size: 2920 pages
