# 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       : 0.016 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(l15_pdlax, conjecture, ![X1]:((v3_rcomp_1(X1)&m1_subset_1(X1,k1_zfmisc_1(k1_numbers)))=>![X2]:(v1_xreal_0(X2)=>![X3]:((v1_funct_1(X3)&m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))))=>((r1_tarski(X1,k1_relset_1(k1_numbers,k26_valued_1(k1_numbers,k1_numbers,X3,X2)))&r2_fdiff_1(X3,X1))=>(r2_fdiff_1(k26_valued_1(k1_numbers,k1_numbers,X3,X2),X1)&r2_relset_1(k1_numbers,k1_numbers,k2_fdiff_1(k26_valued_1(k1_numbers,k1_numbers,X3,X2),X1),k26_valued_1(k1_numbers,k1_numbers,k2_fdiff_1(X3,X1),X2))))))), file('pdlax/pdlax__l15_pdlax', l15_pdlax)).
fof(t19_fdiff_2, axiom, ![X1]:(v1_xreal_0(X1)=>![X2]:((v3_rcomp_1(X2)&m1_subset_1(X2,k1_zfmisc_1(k1_numbers)))=>![X3]:((v1_funct_1(X3)&m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))))=>(r2_fdiff_1(X3,X2)=>(r2_fdiff_1(k26_valued_1(k1_numbers,k1_numbers,X3,X1),X2)&r2_relset_1(k1_numbers,k1_numbers,k2_fdiff_1(k26_valued_1(k1_numbers,k1_numbers,X3,X1),X2),k26_valued_1(k1_numbers,k1_numbers,k2_fdiff_1(X3,X2),X1))))))), file('pdlax/pdlax__l15_pdlax', t19_fdiff_2)).
fof(c_0_2, negated_conjecture, ~(![X1]:((v3_rcomp_1(X1)&m1_subset_1(X1,k1_zfmisc_1(k1_numbers)))=>![X2]:(v1_xreal_0(X2)=>![X3]:((v1_funct_1(X3)&m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))))=>((r1_tarski(X1,k1_relset_1(k1_numbers,k26_valued_1(k1_numbers,k1_numbers,X3,X2)))&r2_fdiff_1(X3,X1))=>(r2_fdiff_1(k26_valued_1(k1_numbers,k1_numbers,X3,X2),X1)&r2_relset_1(k1_numbers,k1_numbers,k2_fdiff_1(k26_valued_1(k1_numbers,k1_numbers,X3,X2),X1),k26_valued_1(k1_numbers,k1_numbers,k2_fdiff_1(X3,X1),X2)))))))), inference(assume_negation,[status(cth)],[l15_pdlax])).
fof(c_0_3, negated_conjecture, ((v3_rcomp_1(esk1_0)&m1_subset_1(esk1_0,k1_zfmisc_1(k1_numbers)))&(v1_xreal_0(esk2_0)&((v1_funct_1(esk3_0)&m1_subset_1(esk3_0,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))))&((r1_tarski(esk1_0,k1_relset_1(k1_numbers,k26_valued_1(k1_numbers,k1_numbers,esk3_0,esk2_0)))&r2_fdiff_1(esk3_0,esk1_0))&(~r2_fdiff_1(k26_valued_1(k1_numbers,k1_numbers,esk3_0,esk2_0),esk1_0)|~r2_relset_1(k1_numbers,k1_numbers,k2_fdiff_1(k26_valued_1(k1_numbers,k1_numbers,esk3_0,esk2_0),esk1_0),k26_valued_1(k1_numbers,k1_numbers,k2_fdiff_1(esk3_0,esk1_0),esk2_0))))))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])])).
fof(c_0_4, plain, ![X13, X14, X15]:((r2_fdiff_1(k26_valued_1(k1_numbers,k1_numbers,X15,X13),X14)|~r2_fdiff_1(X15,X14)|(~v1_funct_1(X15)|~m1_subset_1(X15,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))))|(~v3_rcomp_1(X14)|~m1_subset_1(X14,k1_zfmisc_1(k1_numbers)))|~v1_xreal_0(X13))&(r2_relset_1(k1_numbers,k1_numbers,k2_fdiff_1(k26_valued_1(k1_numbers,k1_numbers,X15,X13),X14),k26_valued_1(k1_numbers,k1_numbers,k2_fdiff_1(X15,X14),X13))|~r2_fdiff_1(X15,X14)|(~v1_funct_1(X15)|~m1_subset_1(X15,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))))|(~v3_rcomp_1(X14)|~m1_subset_1(X14,k1_zfmisc_1(k1_numbers)))|~v1_xreal_0(X13))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t19_fdiff_2])])])])).
cnf(c_0_5, negated_conjecture, (~r2_fdiff_1(k26_valued_1(k1_numbers,k1_numbers,esk3_0,esk2_0),esk1_0)|~r2_relset_1(k1_numbers,k1_numbers,k2_fdiff_1(k26_valued_1(k1_numbers,k1_numbers,esk3_0,esk2_0),esk1_0),k26_valued_1(k1_numbers,k1_numbers,k2_fdiff_1(esk3_0,esk1_0),esk2_0))), inference(split_conjunct,[status(thm)],[c_0_3])).
cnf(c_0_6, plain, (r2_relset_1(k1_numbers,k1_numbers,k2_fdiff_1(k26_valued_1(k1_numbers,k1_numbers,X1,X2),X3),k26_valued_1(k1_numbers,k1_numbers,k2_fdiff_1(X1,X3),X2))|~r2_fdiff_1(X1,X3)|~v1_funct_1(X1)|~m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers)))|~v3_rcomp_1(X3)|~m1_subset_1(X3,k1_zfmisc_1(k1_numbers))|~v1_xreal_0(X2)), inference(split_conjunct,[status(thm)],[c_0_4])).
cnf(c_0_7, negated_conjecture, (r2_fdiff_1(esk3_0,esk1_0)), inference(split_conjunct,[status(thm)],[c_0_3])).
cnf(c_0_8, negated_conjecture, (v1_funct_1(esk3_0)), inference(split_conjunct,[status(thm)],[c_0_3])).
cnf(c_0_9, negated_conjecture, (v1_xreal_0(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_3])).
cnf(c_0_10, negated_conjecture, (m1_subset_1(esk3_0,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers)))), inference(split_conjunct,[status(thm)],[c_0_3])).
cnf(c_0_11, negated_conjecture, (m1_subset_1(esk1_0,k1_zfmisc_1(k1_numbers))), inference(split_conjunct,[status(thm)],[c_0_3])).
cnf(c_0_12, negated_conjecture, (v3_rcomp_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_3])).
cnf(c_0_13, plain, (r2_fdiff_1(k26_valued_1(k1_numbers,k1_numbers,X1,X2),X3)|~r2_fdiff_1(X1,X3)|~v1_funct_1(X1)|~m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers)))|~v3_rcomp_1(X3)|~m1_subset_1(X3,k1_zfmisc_1(k1_numbers))|~v1_xreal_0(X2)), inference(split_conjunct,[status(thm)],[c_0_4])).
cnf(c_0_14, negated_conjecture, (~r2_fdiff_1(k26_valued_1(k1_numbers,k1_numbers,esk3_0,esk2_0),esk1_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5, c_0_6]), c_0_7]), c_0_8]), c_0_9]), c_0_10]), c_0_11]), c_0_12])])).
cnf(c_0_15, negated_conjecture, (r2_fdiff_1(k26_valued_1(k1_numbers,k1_numbers,esk3_0,X1),X2)|~r2_fdiff_1(esk3_0,X2)|~v1_xreal_0(X1)|~m1_subset_1(X2,k1_zfmisc_1(k1_numbers))|~v3_rcomp_1(X2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13, c_0_10]), c_0_8])])).
cnf(c_0_16, negated_conjecture, ($false), 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_14, c_0_15]), c_0_7]), c_0_9]), c_0_11]), c_0_12])]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 17
# Proof object clause steps            : 12
# Proof object formula steps           : 5
# Proof object conjectures             : 13
# Proof object clause conjectures      : 10
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 9
# Proof object initial formulas used   : 2
# Proof object generating inferences   : 3
# Proof object simplifying inferences  : 14
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 2
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 10
# Removed in clause preprocessing      : 0
# Initial clauses in saturation        : 10
# Processed clauses                    : 22
# ...of these trivial                  : 0
# ...subsumed                          : 0
# ...remaining for further processing  : 22
# Other redundant clauses eliminated   : 0
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 0
# Backward-rewritten                   : 0
# Generated clauses                    : 3
# ...of the previous two non-trivial   : 2
# Contextual simplify-reflections      : 0
# Paramodulations                      : 3
# 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  : 12
#    Positive orientable unit clauses  : 7
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 1
#    Non-unit-clauses                  : 4
# Current number of unprocessed clauses: 0
# ...number of literals in the above   : 0
# Current number of archived formulas  : 0
# Current number of archived clauses   : 10
# Clause-clause subsumption calls (NU) : 2
# Rec. Clause-clause subsumption calls : 0
# Non-unit clause-clause subsumptions  : 0
# Unit Clause-clause subsumption calls : 1
# 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          : 1172

# -------------------------------------------------
# User time                : 0.018 s
# System time              : 0.002 s
# Total time               : 0.020 s
# Maximum resident set size: 2856 pages
