# No SInE strategy applied
# Trying AutoSched0 for 161 seconds
# AutoSched0-Mode selected heuristic G_E___208_C12_02_nc_F1_SE_CS_SP_PS_S06DN
# and selection function SelectNewComplexAHPExceptUniqMaxHorn.
#
# Preprocessing time       : 0.020 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(d1_relset_3, axiom, ![X1, X2]:(m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X1,X1)))=>(X2=k1_relset_3(X1)<=>![X3, X4]:(r2_hidden(k4_tarski(X3,X4),X2)<=>((r2_tarski(X3,X1)&r2_tarski(X4,X1))&X4=k1_ordinal1(X3))))), file('relset_3/relset_3__t4_relset_3', d1_relset_3)).
fof(dt_k1_relset_3, axiom, ![X1]:m1_subset_1(k1_relset_3(X1),k1_zfmisc_1(k2_zfmisc_1(X1,X1))), file('relset_3/relset_3__t4_relset_3', dt_k1_relset_3)).
fof(t4_relset_3, conjecture, ![X1]:(v3_ordinal1(X1)=>![X2]:(v3_ordinal1(X2)=>![X3]:(v3_ordinal1(X3)=>(r2_hidden(k4_tarski(X2,X3),k1_relset_3(X1))<=>(r2_tarski(k1_ordinal1(X2),X1)&X3=k1_ordinal1(X2)))))), file('relset_3/relset_3__t4_relset_3', t4_relset_3)).
fof(t10_ordinal1, axiom, ![X1, X2, X3]:(v1_ordinal1(X3)=>((r2_tarski(X1,X2)&r2_tarski(X2,X3))=>r2_tarski(X1,X3))), file('relset_3/relset_3__t4_relset_3', t10_ordinal1)).
fof(t6_ordinal1, axiom, ![X1]:r2_tarski(X1,k1_ordinal1(X1)), file('relset_3/relset_3__t4_relset_3', t6_ordinal1)).
fof(cc1_ordinal1, axiom, ![X1]:(v3_ordinal1(X1)=>(v1_ordinal1(X1)&v2_ordinal1(X1))), file('relset_3/relset_3__t4_relset_3', cc1_ordinal1)).
fof(c_0_6, plain, ![X22, X23, X24, X25, X26, X27]:(((((r2_tarski(X24,X22)|~r2_hidden(k4_tarski(X24,X25),X23)|X23!=k1_relset_3(X22)|~m1_subset_1(X23,k1_zfmisc_1(k2_zfmisc_1(X22,X22))))&(r2_tarski(X25,X22)|~r2_hidden(k4_tarski(X24,X25),X23)|X23!=k1_relset_3(X22)|~m1_subset_1(X23,k1_zfmisc_1(k2_zfmisc_1(X22,X22)))))&(X25=k1_ordinal1(X24)|~r2_hidden(k4_tarski(X24,X25),X23)|X23!=k1_relset_3(X22)|~m1_subset_1(X23,k1_zfmisc_1(k2_zfmisc_1(X22,X22)))))&(~r2_tarski(X26,X22)|~r2_tarski(X27,X22)|X27!=k1_ordinal1(X26)|r2_hidden(k4_tarski(X26,X27),X23)|X23!=k1_relset_3(X22)|~m1_subset_1(X23,k1_zfmisc_1(k2_zfmisc_1(X22,X22)))))&((~r2_hidden(k4_tarski(esk4_2(X22,X23),esk5_2(X22,X23)),X23)|(~r2_tarski(esk4_2(X22,X23),X22)|~r2_tarski(esk5_2(X22,X23),X22)|esk5_2(X22,X23)!=k1_ordinal1(esk4_2(X22,X23)))|X23=k1_relset_3(X22)|~m1_subset_1(X23,k1_zfmisc_1(k2_zfmisc_1(X22,X22))))&(((r2_tarski(esk4_2(X22,X23),X22)|r2_hidden(k4_tarski(esk4_2(X22,X23),esk5_2(X22,X23)),X23)|X23=k1_relset_3(X22)|~m1_subset_1(X23,k1_zfmisc_1(k2_zfmisc_1(X22,X22))))&(r2_tarski(esk5_2(X22,X23),X22)|r2_hidden(k4_tarski(esk4_2(X22,X23),esk5_2(X22,X23)),X23)|X23=k1_relset_3(X22)|~m1_subset_1(X23,k1_zfmisc_1(k2_zfmisc_1(X22,X22)))))&(esk5_2(X22,X23)=k1_ordinal1(esk4_2(X22,X23))|r2_hidden(k4_tarski(esk4_2(X22,X23),esk5_2(X22,X23)),X23)|X23=k1_relset_3(X22)|~m1_subset_1(X23,k1_zfmisc_1(k2_zfmisc_1(X22,X22))))))), 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)],[d1_relset_3])])])])])])).
fof(c_0_7, plain, ![X30]:m1_subset_1(k1_relset_3(X30),k1_zfmisc_1(k2_zfmisc_1(X30,X30))), inference(variable_rename,[status(thm)],[dt_k1_relset_3])).
fof(c_0_8, negated_conjecture, ~(![X1]:(v3_ordinal1(X1)=>![X2]:(v3_ordinal1(X2)=>![X3]:(v3_ordinal1(X3)=>(r2_hidden(k4_tarski(X2,X3),k1_relset_3(X1))<=>(r2_tarski(k1_ordinal1(X2),X1)&X3=k1_ordinal1(X2))))))), inference(assume_negation,[status(cth)],[t4_relset_3])).
cnf(c_0_9, plain, (X1=k1_ordinal1(X2)|~r2_hidden(k4_tarski(X2,X1),X3)|X3!=k1_relset_3(X4)|~m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X4,X4)))), inference(split_conjunct,[status(thm)],[c_0_6])).
cnf(c_0_10, plain, (m1_subset_1(k1_relset_3(X1),k1_zfmisc_1(k2_zfmisc_1(X1,X1)))), inference(split_conjunct,[status(thm)],[c_0_7])).
fof(c_0_11, negated_conjecture, (v3_ordinal1(esk1_0)&(v3_ordinal1(esk2_0)&(v3_ordinal1(esk3_0)&((~r2_hidden(k4_tarski(esk2_0,esk3_0),k1_relset_3(esk1_0))|(~r2_tarski(k1_ordinal1(esk2_0),esk1_0)|esk3_0!=k1_ordinal1(esk2_0)))&((r2_tarski(k1_ordinal1(esk2_0),esk1_0)|r2_hidden(k4_tarski(esk2_0,esk3_0),k1_relset_3(esk1_0)))&(esk3_0=k1_ordinal1(esk2_0)|r2_hidden(k4_tarski(esk2_0,esk3_0),k1_relset_3(esk1_0)))))))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])])])).
cnf(c_0_12, plain, (X1=k1_ordinal1(X2)|~r2_hidden(k4_tarski(X2,X1),k1_relset_3(X3))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_9]), c_0_10])])).
cnf(c_0_13, negated_conjecture, (esk3_0=k1_ordinal1(esk2_0)|r2_hidden(k4_tarski(esk2_0,esk3_0),k1_relset_3(esk1_0))), inference(split_conjunct,[status(thm)],[c_0_11])).
cnf(c_0_14, plain, (r2_tarski(X1,X2)|~r2_hidden(k4_tarski(X3,X1),X4)|X4!=k1_relset_3(X2)|~m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X2,X2)))), inference(split_conjunct,[status(thm)],[c_0_6])).
cnf(c_0_15, negated_conjecture, (~r2_hidden(k4_tarski(esk2_0,esk3_0),k1_relset_3(esk1_0))|~r2_tarski(k1_ordinal1(esk2_0),esk1_0)|esk3_0!=k1_ordinal1(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_11])).
cnf(c_0_16, negated_conjecture, (k1_ordinal1(esk2_0)=esk3_0), inference(spm,[status(thm)],[c_0_12, c_0_13])).
cnf(c_0_17, negated_conjecture, (r2_tarski(k1_ordinal1(esk2_0),esk1_0)|r2_hidden(k4_tarski(esk2_0,esk3_0),k1_relset_3(esk1_0))), inference(split_conjunct,[status(thm)],[c_0_11])).
cnf(c_0_18, plain, (r2_tarski(X1,X2)|~r2_hidden(k4_tarski(X3,X1),k1_relset_3(X2))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_14]), c_0_10])])).
cnf(c_0_19, plain, (r2_hidden(k4_tarski(X1,X3),X4)|~r2_tarski(X1,X2)|~r2_tarski(X3,X2)|X3!=k1_ordinal1(X1)|X4!=k1_relset_3(X2)|~m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X2,X2)))), inference(split_conjunct,[status(thm)],[c_0_6])).
cnf(c_0_20, negated_conjecture, (~r2_tarski(esk3_0,esk1_0)|~r2_hidden(k4_tarski(esk2_0,esk3_0),k1_relset_3(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_15, c_0_16]), c_0_16])])).
cnf(c_0_21, negated_conjecture, (r2_tarski(esk3_0,esk1_0)), inference(csr,[status(thm)],[inference(rw,[status(thm)],[c_0_17, c_0_16]), c_0_18])).
cnf(c_0_22, plain, (r2_hidden(k4_tarski(X1,k1_ordinal1(X1)),k1_relset_3(X2))|~r2_tarski(k1_ordinal1(X1),X2)|~r2_tarski(X1,X2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_19])]), c_0_10])])).
fof(c_0_23, plain, ![X31, X32, X33]:(~v1_ordinal1(X33)|(~r2_tarski(X31,X32)|~r2_tarski(X32,X33)|r2_tarski(X31,X33))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t10_ordinal1])])).
fof(c_0_24, plain, ![X34]:r2_tarski(X34,k1_ordinal1(X34)), inference(variable_rename,[status(thm)],[t6_ordinal1])).
cnf(c_0_25, negated_conjecture, (~r2_hidden(k4_tarski(esk2_0,esk3_0),k1_relset_3(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_20, c_0_21])])).
cnf(c_0_26, negated_conjecture, (r2_hidden(k4_tarski(esk2_0,esk3_0),k1_relset_3(X1))|~r2_tarski(esk3_0,X1)|~r2_tarski(esk2_0,X1)), inference(spm,[status(thm)],[c_0_22, c_0_16])).
cnf(c_0_27, plain, (r2_tarski(X2,X1)|~v1_ordinal1(X1)|~r2_tarski(X2,X3)|~r2_tarski(X3,X1)), inference(split_conjunct,[status(thm)],[c_0_23])).
cnf(c_0_28, plain, (r2_tarski(X1,k1_ordinal1(X1))), inference(split_conjunct,[status(thm)],[c_0_24])).
cnf(c_0_29, negated_conjecture, (~r2_tarski(esk2_0,esk1_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25, c_0_26]), c_0_21])])).
cnf(c_0_30, negated_conjecture, (r2_tarski(X1,esk1_0)|~v1_ordinal1(esk1_0)|~r2_tarski(X1,esk3_0)), inference(spm,[status(thm)],[c_0_27, c_0_21])).
cnf(c_0_31, negated_conjecture, (r2_tarski(esk2_0,esk3_0)), inference(spm,[status(thm)],[c_0_28, c_0_16])).
fof(c_0_32, plain, ![X21]:((v1_ordinal1(X21)|~v3_ordinal1(X21))&(v2_ordinal1(X21)|~v3_ordinal1(X21))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_ordinal1])])])).
cnf(c_0_33, negated_conjecture, (~v1_ordinal1(esk1_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29, c_0_30]), c_0_31])])).
cnf(c_0_34, plain, (v1_ordinal1(X1)|~v3_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_32])).
cnf(c_0_35, negated_conjecture, (v3_ordinal1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_11])).
cnf(c_0_36, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33, c_0_34]), c_0_35])]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 37
# Proof object clause steps            : 24
# Proof object formula steps           : 13
# 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   : 6
# Proof object generating inferences   : 7
# Proof object simplifying inferences  : 23
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 6
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 19
# Removed in clause preprocessing      : 0
# Initial clauses in saturation        : 19
# Processed clauses                    : 64
# ...of these trivial                  : 0
# ...subsumed                          : 3
# ...remaining for further processing  : 61
# Other redundant clauses eliminated   : 5
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 3
# Backward-rewritten                   : 4
# Generated clauses                    : 34
# ...of the previous two non-trivial   : 29
# Contextual simplify-reflections      : 1
# Paramodulations                      : 30
# Factorizations                       : 0
# NegExts                              : 0
# Equation resolutions                 : 5
# 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  : 8
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 3
#    Non-unit-clauses                  : 20
# Current number of unprocessed clauses: 2
# ...number of literals in the above   : 5
# Current number of archived formulas  : 0
# Current number of archived clauses   : 26
# Clause-clause subsumption calls (NU) : 548
# Rec. Clause-clause subsumption calls : 377
# Non-unit clause-clause subsumptions  : 7
# Unit Clause-clause subsumption calls : 12
# 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          : 2194

# -------------------------------------------------
# User time                : 0.025 s
# System time              : 0.000 s
# Total time               : 0.025 s
# Maximum resident set size: 3692 pages
