# No SInE strategy applied
# Trying AutoSched0 for 161 seconds
# AutoSched0-Mode selected heuristic G_E___208_C18AMC_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
# and selection function SelectComplexExceptUniqMaxHorn.
#
# Preprocessing time       : 0.017 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(t8_surreali, conjecture, ![X1]:(v2_surreal0(X1)=>![X2, X3, X4]:((v1_relat_1(X4)&v1_funct_1(X4))=>k3_surreali(X3,X1,X2,X4)=k3_surreali(X3,X1,k6_subset_1(X2,k1_tarski(k11_surreal0)),X4))), file('surreali/surreali__t8_surreali', t8_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__t8_surreali', d3_surreali)).
fof(t7_surreali, axiom, ![X1, X2]:(v2_surreal0(X2)=>![X3, X4]:((v1_relat_1(X4)&v1_funct_1(X4))=>k2_surreali(X1,X2,X3,X4)=k2_surreali(X1,X2,k6_subset_1(X3,k1_tarski(k11_surreal0)),X4))), file('surreali/surreali__t8_surreali', t7_surreali)).
fof(c_0_3, negated_conjecture, ~(![X1]:(v2_surreal0(X1)=>![X2, X3, X4]:((v1_relat_1(X4)&v1_funct_1(X4))=>k3_surreali(X3,X1,X2,X4)=k3_surreali(X3,X1,k6_subset_1(X2,k1_tarski(k11_surreal0)),X4)))), inference(assume_negation,[status(cth)],[t8_surreali])).
fof(c_0_4, plain, ![X29, X30, X31, X32, X33, X34, X36, X37, X38, X40]:((((r2_hidden(esk5_6(X29,X30,X31,X32,X33,X34),X29)|~r2_hidden(X34,X33)|X33!=k3_surreali(X29,X30,X31,X32)|(~v1_relat_1(X32)|~v1_funct_1(X32)))&(r2_hidden(X34,k2_surreali(esk5_6(X29,X30,X31,X32,X33,X34),X30,X31,X32))|~r2_hidden(X34,X33)|X33!=k3_surreali(X29,X30,X31,X32)|(~v1_relat_1(X32)|~v1_funct_1(X32))))&(~r2_hidden(X37,X29)|~r2_hidden(X36,k2_surreali(X37,X30,X31,X32))|r2_hidden(X36,X33)|X33!=k3_surreali(X29,X30,X31,X32)|(~v1_relat_1(X32)|~v1_funct_1(X32))))&((~r2_hidden(esk6_5(X29,X30,X31,X32,X38),X38)|(~r2_hidden(X40,X29)|~r2_hidden(esk6_5(X29,X30,X31,X32,X38),k2_surreali(X40,X30,X31,X32)))|X38=k3_surreali(X29,X30,X31,X32)|(~v1_relat_1(X32)|~v1_funct_1(X32)))&((r2_hidden(esk7_5(X29,X30,X31,X32,X38),X29)|r2_hidden(esk6_5(X29,X30,X31,X32,X38),X38)|X38=k3_surreali(X29,X30,X31,X32)|(~v1_relat_1(X32)|~v1_funct_1(X32)))&(r2_hidden(esk6_5(X29,X30,X31,X32,X38),k2_surreali(esk7_5(X29,X30,X31,X32,X38),X30,X31,X32))|r2_hidden(esk6_5(X29,X30,X31,X32,X38),X38)|X38=k3_surreali(X29,X30,X31,X32)|(~v1_relat_1(X32)|~v1_funct_1(X32)))))), 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_5, negated_conjecture, (v2_surreal0(esk1_0)&((v1_relat_1(esk4_0)&v1_funct_1(esk4_0))&k3_surreali(esk3_0,esk1_0,esk2_0,esk4_0)!=k3_surreali(esk3_0,esk1_0,k6_subset_1(esk2_0,k1_tarski(k11_surreal0)),esk4_0))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])])).
cnf(c_0_6, plain, (r2_hidden(esk6_5(X1,X2,X3,X4,X5),k2_surreali(esk7_5(X1,X2,X3,X4,X5),X2,X3,X4))|r2_hidden(esk6_5(X1,X2,X3,X4,X5),X5)|X5=k3_surreali(X1,X2,X3,X4)|~v1_relat_1(X4)|~v1_funct_1(X4)), inference(split_conjunct,[status(thm)],[c_0_4])).
cnf(c_0_7, negated_conjecture, (v1_funct_1(esk4_0)), inference(split_conjunct,[status(thm)],[c_0_5])).
cnf(c_0_8, negated_conjecture, (v1_relat_1(esk4_0)), inference(split_conjunct,[status(thm)],[c_0_5])).
fof(c_0_9, plain, ![X44, X45, X46, X47]:(~v2_surreal0(X45)|(~v1_relat_1(X47)|~v1_funct_1(X47)|k2_surreali(X44,X45,X46,X47)=k2_surreali(X44,X45,k6_subset_1(X46,k1_tarski(k11_surreal0)),X47))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t7_surreali])])])).
cnf(c_0_10, plain, (r2_hidden(X3,X7)|~r2_hidden(X1,X2)|~r2_hidden(X3,k2_surreali(X1,X4,X5,X6))|X7!=k3_surreali(X2,X4,X5,X6)|~v1_relat_1(X6)|~v1_funct_1(X6)), inference(split_conjunct,[status(thm)],[c_0_4])).
cnf(c_0_11, negated_conjecture, (X1=k3_surreali(X2,X3,X4,esk4_0)|r2_hidden(esk6_5(X2,X3,X4,esk4_0,X1),k2_surreali(esk7_5(X2,X3,X4,esk4_0,X1),X3,X4,esk4_0))|r2_hidden(esk6_5(X2,X3,X4,esk4_0,X1),X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6, c_0_7]), c_0_8])])).
cnf(c_0_12, plain, (k2_surreali(X3,X1,X4,X2)=k2_surreali(X3,X1,k6_subset_1(X4,k1_tarski(k11_surreal0)),X2)|~v2_surreal0(X1)|~v1_relat_1(X2)|~v1_funct_1(X2)), inference(split_conjunct,[status(thm)],[c_0_9])).
cnf(c_0_13, plain, (r2_hidden(X1,k2_surreali(esk5_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_4])).
cnf(c_0_14, plain, (r2_hidden(X1,k3_surreali(X2,X3,X4,X5))|~r2_hidden(X1,k2_surreali(X6,X3,X4,X5))|~r2_hidden(X6,X2)|~v1_funct_1(X5)|~v1_relat_1(X5)), inference(er,[status(thm)],[c_0_10])).
cnf(c_0_15, negated_conjecture, (X1=k3_surreali(X2,X3,k6_subset_1(X4,k1_tarski(k11_surreal0)),esk4_0)|r2_hidden(esk6_5(X2,X3,k6_subset_1(X4,k1_tarski(k11_surreal0)),esk4_0,X1),k2_surreali(esk7_5(X2,X3,k6_subset_1(X4,k1_tarski(k11_surreal0)),esk4_0,X1),X3,X4,esk4_0))|r2_hidden(esk6_5(X2,X3,k6_subset_1(X4,k1_tarski(k11_surreal0)),esk4_0,X1),X1)|~v2_surreal0(X3)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11, c_0_12]), c_0_7]), c_0_8])])).
cnf(c_0_16, negated_conjecture, (v2_surreal0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_5])).
cnf(c_0_17, plain, (X5=k3_surreali(X1,X2,X3,X4)|~r2_hidden(esk6_5(X1,X2,X3,X4,X5),X5)|~r2_hidden(X6,X1)|~r2_hidden(esk6_5(X1,X2,X3,X4,X5),k2_surreali(X6,X2,X3,X4))|~v1_relat_1(X4)|~v1_funct_1(X4)), inference(split_conjunct,[status(thm)],[c_0_4])).
cnf(c_0_18, plain, (r2_hidden(X1,k2_surreali(esk5_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_13])).
cnf(c_0_19, plain, (r2_hidden(esk5_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_4])).
cnf(c_0_20, plain, (r2_hidden(X1,k3_surreali(X2,X3,k6_subset_1(X4,k1_tarski(k11_surreal0)),X5))|~r2_hidden(X1,k2_surreali(X6,X3,X4,X5))|~r2_hidden(X6,X2)|~v1_funct_1(X5)|~v1_relat_1(X5)|~v2_surreal0(X3)), inference(spm,[status(thm)],[c_0_14, c_0_12])).
cnf(c_0_21, negated_conjecture, (X1=k3_surreali(X2,esk1_0,k6_subset_1(X3,k1_tarski(k11_surreal0)),esk4_0)|r2_hidden(esk6_5(X2,esk1_0,k6_subset_1(X3,k1_tarski(k11_surreal0)),esk4_0,X1),k2_surreali(esk7_5(X2,esk1_0,k6_subset_1(X3,k1_tarski(k11_surreal0)),esk4_0,X1),esk1_0,X3,esk4_0))|r2_hidden(esk6_5(X2,esk1_0,k6_subset_1(X3,k1_tarski(k11_surreal0)),esk4_0,X1),X1)), inference(spm,[status(thm)],[c_0_15, c_0_16])).
cnf(c_0_22, plain, (r2_hidden(esk7_5(X1,X2,X3,X4,X5),X1)|r2_hidden(esk6_5(X1,X2,X3,X4,X5),X5)|X5=k3_surreali(X1,X2,X3,X4)|~v1_relat_1(X4)|~v1_funct_1(X4)), inference(split_conjunct,[status(thm)],[c_0_4])).
cnf(c_0_23, plain, (X1=k3_surreali(X2,X3,X4,X5)|~r2_hidden(esk5_6(X6,X3,X4,X5,k3_surreali(X6,X3,X4,X5),esk6_5(X2,X3,X4,X5,X1)),X2)|~r2_hidden(esk6_5(X2,X3,X4,X5,X1),k3_surreali(X6,X3,X4,X5))|~r2_hidden(esk6_5(X2,X3,X4,X5,X1),X1)|~v1_funct_1(X5)|~v1_relat_1(X5)), inference(spm,[status(thm)],[c_0_17, c_0_18])).
cnf(c_0_24, plain, (r2_hidden(esk5_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_19])).
cnf(c_0_25, plain, (r2_hidden(X1,k3_surreali(X2,X3,k6_subset_1(X4,k1_tarski(k11_surreal0)),X5))|~r2_hidden(esk5_6(X6,X3,X4,X5,k3_surreali(X6,X3,X4,X5),X1),X2)|~r2_hidden(X1,k3_surreali(X6,X3,X4,X5))|~v1_funct_1(X5)|~v1_relat_1(X5)|~v2_surreal0(X3)), inference(spm,[status(thm)],[c_0_20, c_0_18])).
cnf(c_0_26, negated_conjecture, (X1=k3_surreali(X2,esk1_0,k6_subset_1(X3,k1_tarski(k11_surreal0)),esk4_0)|r2_hidden(esk6_5(X2,esk1_0,k6_subset_1(X3,k1_tarski(k11_surreal0)),esk4_0,X1),k3_surreali(X4,esk1_0,X3,esk4_0))|r2_hidden(esk6_5(X2,esk1_0,k6_subset_1(X3,k1_tarski(k11_surreal0)),esk4_0,X1),X1)|~r2_hidden(esk7_5(X2,esk1_0,k6_subset_1(X3,k1_tarski(k11_surreal0)),esk4_0,X1),X4)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14, c_0_21]), c_0_7]), c_0_8])])).
cnf(c_0_27, negated_conjecture, (X1=k3_surreali(X2,X3,X4,esk4_0)|r2_hidden(esk7_5(X2,X3,X4,esk4_0,X1),X2)|r2_hidden(esk6_5(X2,X3,X4,esk4_0,X1),X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22, c_0_7]), c_0_8])])).
cnf(c_0_28, plain, (X1=k3_surreali(X2,X3,X4,X5)|~r2_hidden(esk6_5(X2,X3,X4,X5,X1),k3_surreali(X2,X3,X4,X5))|~r2_hidden(esk6_5(X2,X3,X4,X5,X1),X1)|~v1_funct_1(X5)|~v1_relat_1(X5)), inference(spm,[status(thm)],[c_0_23, c_0_24])).
cnf(c_0_29, plain, (r2_hidden(X1,k3_surreali(X2,X3,k6_subset_1(X4,k1_tarski(k11_surreal0)),X5))|~r2_hidden(X1,k3_surreali(X2,X3,X4,X5))|~v1_funct_1(X5)|~v1_relat_1(X5)|~v2_surreal0(X3)), inference(spm,[status(thm)],[c_0_25, c_0_24])).
cnf(c_0_30, negated_conjecture, (X1=k3_surreali(X2,esk1_0,k6_subset_1(X3,k1_tarski(k11_surreal0)),esk4_0)|r2_hidden(esk6_5(X2,esk1_0,k6_subset_1(X3,k1_tarski(k11_surreal0)),esk4_0,X1),k3_surreali(X2,esk1_0,X3,esk4_0))|r2_hidden(esk6_5(X2,esk1_0,k6_subset_1(X3,k1_tarski(k11_surreal0)),esk4_0,X1),X1)), inference(spm,[status(thm)],[c_0_26, c_0_27])).
cnf(c_0_31, plain, (X1=k3_surreali(X2,X3,k6_subset_1(X4,k1_tarski(k11_surreal0)),X5)|~r2_hidden(esk6_5(X2,X3,k6_subset_1(X4,k1_tarski(k11_surreal0)),X5,X1),k3_surreali(X2,X3,X4,X5))|~r2_hidden(esk6_5(X2,X3,k6_subset_1(X4,k1_tarski(k11_surreal0)),X5,X1),X1)|~v1_funct_1(X5)|~v1_relat_1(X5)|~v2_surreal0(X3)), inference(spm,[status(thm)],[c_0_28, c_0_29])).
cnf(c_0_32, negated_conjecture, (k3_surreali(X1,esk1_0,k6_subset_1(X2,k1_tarski(k11_surreal0)),esk4_0)=k3_surreali(X1,esk1_0,X2,esk4_0)|r2_hidden(esk6_5(X1,esk1_0,k6_subset_1(X2,k1_tarski(k11_surreal0)),esk4_0,k3_surreali(X1,esk1_0,X2,esk4_0)),k3_surreali(X1,esk1_0,X2,esk4_0))), inference(ef,[status(thm)],[c_0_30])).
cnf(c_0_33, negated_conjecture, (k3_surreali(esk3_0,esk1_0,esk2_0,esk4_0)!=k3_surreali(esk3_0,esk1_0,k6_subset_1(esk2_0,k1_tarski(k11_surreal0)),esk4_0)), inference(split_conjunct,[status(thm)],[c_0_5])).
cnf(c_0_34, negated_conjecture, (k3_surreali(X1,esk1_0,k6_subset_1(X2,k1_tarski(k11_surreal0)),esk4_0)=k3_surreali(X1,esk1_0,X2,esk4_0)), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31, c_0_32]), c_0_7]), c_0_8]), c_0_16])]), c_0_32])).
cnf(c_0_35, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_33, c_0_34])]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 36
# Proof object clause steps            : 29
# Proof object formula steps           : 7
# Proof object conjectures             : 16
# Proof object clause conjectures      : 13
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 11
# Proof object initial formulas used   : 3
# Proof object generating inferences   : 14
# Proof object simplifying inferences  : 20
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 4
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 12
# Removed in clause preprocessing      : 1
# Initial clauses in saturation        : 11
# Processed clauses                    : 107
# ...of these trivial                  : 0
# ...subsumed                          : 12
# ...remaining for further processing  : 95
# Other redundant clauses eliminated   : 3
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 0
# Backward-rewritten                   : 10
# Generated clauses                    : 631
# ...of the previous two non-trivial   : 596
# Contextual simplify-reflections      : 1
# Paramodulations                      : 620
# Factorizations                       : 8
# 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  : 71
#    Positive orientable unit clauses  : 4
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 0
#    Non-unit-clauses                  : 67
# Current number of unprocessed clauses: 505
# ...number of literals in the above   : 3714
# Current number of archived formulas  : 0
# Current number of archived clauses   : 22
# Clause-clause subsumption calls (NU) : 3123
# Rec. Clause-clause subsumption calls : 544
# Non-unit clause-clause subsumptions  : 13
# Unit Clause-clause subsumption calls : 6
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 10
# BW rewrite match successes           : 6
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 35111

# -------------------------------------------------
# User time                : 0.037 s
# System time              : 0.000 s
# Total time               : 0.037 s
# Maximum resident set size: 2896 pages
