# No SInE strategy applied
# Trying AutoSched0 for 161 seconds
# AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S043N
# and selection function PSelectMaxLComplexNoTypePred.
#
# Preprocessing time       : 0.016 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(l20_pdlax, conjecture, ![X1]:((v1_funct_1(X1)&m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))))=>![X2]:(m1_subset_1(X2,k1_zfmisc_1(k1_numbers))=>(r2_fdiff_1(X1,X2)=>r2_relset_1(k1_numbers,k1_numbers,k2_fdiff_1(k2_partfun1(k1_numbers,k1_numbers,X1,X2),X2),k2_fdiff_1(X1,X2))))), file('pdlax/pdlax__l20_pdlax', l20_pdlax)).
fof(symmetry_r2_relset_1, axiom, ![X1, X2, X3, X4]:((m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))&m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2))))=>(r2_relset_1(X1,X2,X3,X4)=>r2_relset_1(X1,X2,X4,X3))), file('pdlax/pdlax__l20_pdlax', symmetry_r2_relset_1)).
fof(t16_fdiff_2, axiom, ![X1]:((v1_funct_1(X1)&m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))))=>![X2]:(m1_subset_1(X2,k1_zfmisc_1(k1_numbers))=>(r2_fdiff_1(X1,X2)=>(r2_fdiff_1(k2_partfun1(k1_numbers,k1_numbers,X1,X2),X2)&r2_relset_1(k1_numbers,k1_numbers,k2_fdiff_1(X1,X2),k2_fdiff_1(k2_partfun1(k1_numbers,k1_numbers,X1,X2),X2)))))), file('pdlax/pdlax__l20_pdlax', t16_fdiff_2)).
fof(dt_k2_fdiff_1, axiom, ![X1, X2]:((v1_funct_1(X1)&m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))))=>(v1_funct_1(k2_fdiff_1(X1,X2))&m1_subset_1(k2_fdiff_1(X1,X2),k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))))), file('pdlax/pdlax__l20_pdlax', dt_k2_fdiff_1)).
fof(dt_k2_partfun1, axiom, ![X1, X2, X3, X4]:((v1_funct_1(X3)&m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2))))=>(v1_funct_1(k2_partfun1(X1,X2,X3,X4))&m1_subset_1(k2_partfun1(X1,X2,X3,X4),k1_zfmisc_1(k2_zfmisc_1(X1,X2))))), file('pdlax/pdlax__l20_pdlax', dt_k2_partfun1)).
fof(c_0_5, negated_conjecture, ~(![X1]:((v1_funct_1(X1)&m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))))=>![X2]:(m1_subset_1(X2,k1_zfmisc_1(k1_numbers))=>(r2_fdiff_1(X1,X2)=>r2_relset_1(k1_numbers,k1_numbers,k2_fdiff_1(k2_partfun1(k1_numbers,k1_numbers,X1,X2),X2),k2_fdiff_1(X1,X2)))))), inference(assume_negation,[status(cth)],[l20_pdlax])).
fof(c_0_6, plain, ![X21, X22, X23, X24]:(~m1_subset_1(X23,k1_zfmisc_1(k2_zfmisc_1(X21,X22)))|~m1_subset_1(X24,k1_zfmisc_1(k2_zfmisc_1(X21,X22)))|(~r2_relset_1(X21,X22,X23,X24)|r2_relset_1(X21,X22,X24,X23))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[symmetry_r2_relset_1])])).
fof(c_0_7, plain, ![X31, X32]:((r2_fdiff_1(k2_partfun1(k1_numbers,k1_numbers,X31,X32),X32)|~r2_fdiff_1(X31,X32)|~m1_subset_1(X32,k1_zfmisc_1(k1_numbers))|(~v1_funct_1(X31)|~m1_subset_1(X31,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers)))))&(r2_relset_1(k1_numbers,k1_numbers,k2_fdiff_1(X31,X32),k2_fdiff_1(k2_partfun1(k1_numbers,k1_numbers,X31,X32),X32))|~r2_fdiff_1(X31,X32)|~m1_subset_1(X32,k1_zfmisc_1(k1_numbers))|(~v1_funct_1(X31)|~m1_subset_1(X31,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers)))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t16_fdiff_2])])])])).
fof(c_0_8, plain, ![X25, X26]:((v1_funct_1(k2_fdiff_1(X25,X26))|(~v1_funct_1(X25)|~m1_subset_1(X25,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers)))))&(m1_subset_1(k2_fdiff_1(X25,X26),k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers)))|(~v1_funct_1(X25)|~m1_subset_1(X25,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers)))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k2_fdiff_1])])])).
fof(c_0_9, negated_conjecture, ((v1_funct_1(esk1_0)&m1_subset_1(esk1_0,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))))&(m1_subset_1(esk2_0,k1_zfmisc_1(k1_numbers))&(r2_fdiff_1(esk1_0,esk2_0)&~r2_relset_1(k1_numbers,k1_numbers,k2_fdiff_1(k2_partfun1(k1_numbers,k1_numbers,esk1_0,esk2_0),esk2_0),k2_fdiff_1(esk1_0,esk2_0))))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])])).
cnf(c_0_10, plain, (r2_relset_1(X2,X3,X4,X1)|~m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))|~m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))|~r2_relset_1(X2,X3,X1,X4)), inference(split_conjunct,[status(thm)],[c_0_6])).
cnf(c_0_11, plain, (r2_relset_1(k1_numbers,k1_numbers,k2_fdiff_1(X1,X2),k2_fdiff_1(k2_partfun1(k1_numbers,k1_numbers,X1,X2),X2))|~r2_fdiff_1(X1,X2)|~m1_subset_1(X2,k1_zfmisc_1(k1_numbers))|~v1_funct_1(X1)|~m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers)))), inference(split_conjunct,[status(thm)],[c_0_7])).
cnf(c_0_12, plain, (m1_subset_1(k2_fdiff_1(X1,X2),k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers)))|~v1_funct_1(X1)|~m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers)))), inference(split_conjunct,[status(thm)],[c_0_8])).
cnf(c_0_13, negated_conjecture, (~r2_relset_1(k1_numbers,k1_numbers,k2_fdiff_1(k2_partfun1(k1_numbers,k1_numbers,esk1_0,esk2_0),esk2_0),k2_fdiff_1(esk1_0,esk2_0))), inference(split_conjunct,[status(thm)],[c_0_9])).
cnf(c_0_14, plain, (r2_relset_1(k1_numbers,k1_numbers,k2_fdiff_1(k2_partfun1(k1_numbers,k1_numbers,X1,X2),X2),k2_fdiff_1(X1,X2))|~r2_fdiff_1(X1,X2)|~m1_subset_1(k2_fdiff_1(k2_partfun1(k1_numbers,k1_numbers,X1,X2),X2),k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers)))|~m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers)))|~m1_subset_1(X2,k1_zfmisc_1(k1_numbers))|~v1_funct_1(X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_10, c_0_11]), c_0_12])).
cnf(c_0_15, negated_conjecture, (r2_fdiff_1(esk1_0,esk2_0)), inference(split_conjunct,[status(thm)],[c_0_9])).
cnf(c_0_16, negated_conjecture, (m1_subset_1(esk1_0,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers)))), inference(split_conjunct,[status(thm)],[c_0_9])).
cnf(c_0_17, negated_conjecture, (m1_subset_1(esk2_0,k1_zfmisc_1(k1_numbers))), inference(split_conjunct,[status(thm)],[c_0_9])).
cnf(c_0_18, negated_conjecture, (v1_funct_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_9])).
cnf(c_0_19, negated_conjecture, (~m1_subset_1(k2_fdiff_1(k2_partfun1(k1_numbers,k1_numbers,esk1_0,esk2_0),esk2_0),k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers)))), 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_13, c_0_14]), c_0_15]), c_0_16]), c_0_17]), c_0_18])])).
fof(c_0_20, plain, ![X27, X28, X29, X30]:((v1_funct_1(k2_partfun1(X27,X28,X29,X30))|(~v1_funct_1(X29)|~m1_subset_1(X29,k1_zfmisc_1(k2_zfmisc_1(X27,X28)))))&(m1_subset_1(k2_partfun1(X27,X28,X29,X30),k1_zfmisc_1(k2_zfmisc_1(X27,X28)))|(~v1_funct_1(X29)|~m1_subset_1(X29,k1_zfmisc_1(k2_zfmisc_1(X27,X28)))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k2_partfun1])])])).
cnf(c_0_21, negated_conjecture, (~m1_subset_1(k2_partfun1(k1_numbers,k1_numbers,esk1_0,esk2_0),k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers)))|~v1_funct_1(k2_partfun1(k1_numbers,k1_numbers,esk1_0,esk2_0))), inference(spm,[status(thm)],[c_0_19, c_0_12])).
cnf(c_0_22, plain, (m1_subset_1(k2_partfun1(X1,X2,X3,X4),k1_zfmisc_1(k2_zfmisc_1(X1,X2)))|~v1_funct_1(X3)|~m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))), inference(split_conjunct,[status(thm)],[c_0_20])).
cnf(c_0_23, negated_conjecture, (~v1_funct_1(k2_partfun1(k1_numbers,k1_numbers,esk1_0,esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21, c_0_22]), c_0_16]), c_0_18])])).
cnf(c_0_24, plain, (v1_funct_1(k2_partfun1(X1,X2,X3,X4))|~v1_funct_1(X3)|~m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))), inference(split_conjunct,[status(thm)],[c_0_20])).
cnf(c_0_25, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23, c_0_24]), c_0_16]), c_0_18])]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 26
# Proof object clause steps            : 15
# Proof object formula steps           : 11
# Proof object conjectures             : 12
# Proof object clause conjectures      : 9
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 10
# Proof object initial formulas used   : 5
# Proof object generating inferences   : 5
# Proof object simplifying inferences  : 12
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 5
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 12
# Removed in clause preprocessing      : 0
# Initial clauses in saturation        : 12
# Processed clauses                    : 29
# ...of these trivial                  : 0
# ...subsumed                          : 1
# ...remaining for further processing  : 28
# Other redundant clauses eliminated   : 0
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 0
# Backward-rewritten                   : 0
# Generated clauses                    : 6
# ...of the previous two non-trivial   : 5
# Contextual simplify-reflections      : 1
# Paramodulations                      : 6
# 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  : 16
#    Positive orientable unit clauses  : 4
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 3
#    Non-unit-clauses                  : 9
# Current number of unprocessed clauses: 0
# ...number of literals in the above   : 0
# Current number of archived formulas  : 0
# Current number of archived clauses   : 12
# Clause-clause subsumption calls (NU) : 69
# Rec. Clause-clause subsumption calls : 7
# Non-unit clause-clause subsumptions  : 2
# 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          : 1602

# -------------------------------------------------
# User time                : 0.020 s
# System time              : 0.000 s
# Total time               : 0.020 s
# Maximum resident set size: 2992 pages
