# No SInE strategy applied
# Trying AutoSched0 for 161 seconds
# AutoSched0-Mode selected heuristic G_E___208_C18_F1_AE_CS_SP_PS_S0V
# and selection function PSelectComplexExceptRRHorn.
#
# Preprocessing time       : 0.021 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(redefinition_k1_relset_1, axiom, ![X1, X2]:((v1_relat_1(X2)&v4_relat_1(X2,X1))=>k1_relset_1(X1,X2)=k9_xtuple_0(X2)), file('gr_free0/gr_free0__l59_gr_free0', redefinition_k1_relset_1)).
fof(d2_partfun1, axiom, ![X1, X2]:((v1_relat_1(X2)&v4_relat_1(X2,X1))=>(v1_partfun1(X2,X1)<=>k1_relset_1(X1,X2)=X1)), file('gr_free0/gr_free0__l59_gr_free0', d2_partfun1)).
fof(l59_gr_free0, conjecture, ![X1]:(~(v1_xboole_0(X1))=>![X2]:((((v1_relat_1(X2)&v4_relat_1(X2,X1))&v1_funct_1(X2))&v1_partfun1(X2,X1))=>![X3]:((((v1_relat_1(X3)&v4_relat_1(X3,X1))&v1_funct_1(X3))&v1_partfun1(X3,X1))=>k9_xtuple_0(k13_funct_3(X2,X3))=X1))), file('gr_free0/gr_free0__l59_gr_free0', l59_gr_free0)).
fof(d7_funct_3, axiom, ![X1]:((v1_relat_1(X1)&v1_funct_1(X1))=>![X2]:((v1_relat_1(X2)&v1_funct_1(X2))=>![X3]:((v1_relat_1(X3)&v1_funct_1(X3))=>(X3=k13_funct_3(X1,X2)<=>(k9_xtuple_0(X3)=k3_xboole_0(k9_xtuple_0(X1),k9_xtuple_0(X2))&![X4]:(r2_hidden(X4,k9_xtuple_0(X3))=>k1_funct_1(X3,X4)=k4_tarski(k1_funct_1(X1,X4),k1_funct_1(X2,X4)))))))), file('gr_free0/gr_free0__l59_gr_free0', d7_funct_3)).
fof(dt_k13_funct_3, axiom, ![X1, X2]:((((v1_relat_1(X1)&v1_funct_1(X1))&v1_relat_1(X2))&v1_funct_1(X2))=>(v1_relat_1(k13_funct_3(X1,X2))&v1_funct_1(k13_funct_3(X1,X2)))), file('gr_free0/gr_free0__l59_gr_free0', dt_k13_funct_3)).
fof(idempotence_k3_xboole_0, axiom, ![X1, X2]:k3_xboole_0(X1,X1)=X1, file('gr_free0/gr_free0__l59_gr_free0', idempotence_k3_xboole_0)).
fof(c_0_6, plain, ![X33, X34]:(~v1_relat_1(X34)|~v4_relat_1(X34,X33)|k1_relset_1(X33,X34)=k9_xtuple_0(X34)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k1_relset_1])])).
fof(c_0_7, plain, ![X23, X24]:((~v1_partfun1(X24,X23)|k1_relset_1(X23,X24)=X23|(~v1_relat_1(X24)|~v4_relat_1(X24,X23)))&(k1_relset_1(X23,X24)!=X23|v1_partfun1(X24,X23)|(~v1_relat_1(X24)|~v4_relat_1(X24,X23)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d2_partfun1])])])).
fof(c_0_8, negated_conjecture, ~(![X1]:(~v1_xboole_0(X1)=>![X2]:((((v1_relat_1(X2)&v4_relat_1(X2,X1))&v1_funct_1(X2))&v1_partfun1(X2,X1))=>![X3]:((((v1_relat_1(X3)&v4_relat_1(X3,X1))&v1_funct_1(X3))&v1_partfun1(X3,X1))=>k9_xtuple_0(k13_funct_3(X2,X3))=X1)))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[l59_gr_free0])])).
fof(c_0_9, plain, ![X25, X26, X27, X28]:(((k9_xtuple_0(X27)=k3_xboole_0(k9_xtuple_0(X25),k9_xtuple_0(X26))|X27!=k13_funct_3(X25,X26)|(~v1_relat_1(X27)|~v1_funct_1(X27))|(~v1_relat_1(X26)|~v1_funct_1(X26))|(~v1_relat_1(X25)|~v1_funct_1(X25)))&(~r2_hidden(X28,k9_xtuple_0(X27))|k1_funct_1(X27,X28)=k4_tarski(k1_funct_1(X25,X28),k1_funct_1(X26,X28))|X27!=k13_funct_3(X25,X26)|(~v1_relat_1(X27)|~v1_funct_1(X27))|(~v1_relat_1(X26)|~v1_funct_1(X26))|(~v1_relat_1(X25)|~v1_funct_1(X25))))&((r2_hidden(esk4_3(X25,X26,X27),k9_xtuple_0(X27))|k9_xtuple_0(X27)!=k3_xboole_0(k9_xtuple_0(X25),k9_xtuple_0(X26))|X27=k13_funct_3(X25,X26)|(~v1_relat_1(X27)|~v1_funct_1(X27))|(~v1_relat_1(X26)|~v1_funct_1(X26))|(~v1_relat_1(X25)|~v1_funct_1(X25)))&(k1_funct_1(X27,esk4_3(X25,X26,X27))!=k4_tarski(k1_funct_1(X25,esk4_3(X25,X26,X27)),k1_funct_1(X26,esk4_3(X25,X26,X27)))|k9_xtuple_0(X27)!=k3_xboole_0(k9_xtuple_0(X25),k9_xtuple_0(X26))|X27=k13_funct_3(X25,X26)|(~v1_relat_1(X27)|~v1_funct_1(X27))|(~v1_relat_1(X26)|~v1_funct_1(X26))|(~v1_relat_1(X25)|~v1_funct_1(X25))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d7_funct_3])])])])])).
fof(c_0_10, plain, ![X30, X31]:((v1_relat_1(k13_funct_3(X30,X31))|(~v1_relat_1(X30)|~v1_funct_1(X30)|~v1_relat_1(X31)|~v1_funct_1(X31)))&(v1_funct_1(k13_funct_3(X30,X31))|(~v1_relat_1(X30)|~v1_funct_1(X30)|~v1_relat_1(X31)|~v1_funct_1(X31)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k13_funct_3])])])).
cnf(c_0_11, plain, (k1_relset_1(X2,X1)=k9_xtuple_0(X1)|~v1_relat_1(X1)|~v4_relat_1(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_6])).
cnf(c_0_12, plain, (k1_relset_1(X2,X1)=X2|~v1_partfun1(X1,X2)|~v1_relat_1(X1)|~v4_relat_1(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_7])).
fof(c_0_13, negated_conjecture, (~v1_xboole_0(esk1_0)&((((v1_relat_1(esk2_0)&v4_relat_1(esk2_0,esk1_0))&v1_funct_1(esk2_0))&v1_partfun1(esk2_0,esk1_0))&((((v1_relat_1(esk3_0)&v4_relat_1(esk3_0,esk1_0))&v1_funct_1(esk3_0))&v1_partfun1(esk3_0,esk1_0))&k9_xtuple_0(k13_funct_3(esk2_0,esk3_0))!=esk1_0))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])])).
cnf(c_0_14, plain, (k9_xtuple_0(X1)=k3_xboole_0(k9_xtuple_0(X2),k9_xtuple_0(X3))|X1!=k13_funct_3(X2,X3)|~v1_relat_1(X1)|~v1_funct_1(X1)|~v1_relat_1(X3)|~v1_funct_1(X3)|~v1_relat_1(X2)|~v1_funct_1(X2)), inference(split_conjunct,[status(thm)],[c_0_9])).
cnf(c_0_15, plain, (v1_relat_1(k13_funct_3(X1,X2))|~v1_relat_1(X1)|~v1_funct_1(X1)|~v1_relat_1(X2)|~v1_funct_1(X2)), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_16, plain, (v1_funct_1(k13_funct_3(X1,X2))|~v1_relat_1(X1)|~v1_funct_1(X1)|~v1_relat_1(X2)|~v1_funct_1(X2)), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_17, plain, (X1=k9_xtuple_0(X2)|~v1_partfun1(X2,X1)|~v4_relat_1(X2,X1)|~v1_relat_1(X2)), inference(spm,[status(thm)],[c_0_11, c_0_12])).
cnf(c_0_18, negated_conjecture, (v1_partfun1(esk3_0,esk1_0)), inference(split_conjunct,[status(thm)],[c_0_13])).
cnf(c_0_19, negated_conjecture, (v4_relat_1(esk3_0,esk1_0)), inference(split_conjunct,[status(thm)],[c_0_13])).
cnf(c_0_20, negated_conjecture, (v1_relat_1(esk3_0)), inference(split_conjunct,[status(thm)],[c_0_13])).
cnf(c_0_21, plain, (k3_xboole_0(k9_xtuple_0(X1),k9_xtuple_0(X2))=k9_xtuple_0(k13_funct_3(X1,X2))|~v1_funct_1(X2)|~v1_funct_1(X1)|~v1_relat_1(X2)|~v1_relat_1(X1)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_14]), c_0_15]), c_0_16])).
cnf(c_0_22, negated_conjecture, (k9_xtuple_0(esk3_0)=esk1_0), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17, c_0_18]), c_0_19]), c_0_20])])).
cnf(c_0_23, negated_conjecture, (v1_funct_1(esk3_0)), inference(split_conjunct,[status(thm)],[c_0_13])).
cnf(c_0_24, negated_conjecture, (v1_partfun1(esk2_0,esk1_0)), inference(split_conjunct,[status(thm)],[c_0_13])).
cnf(c_0_25, negated_conjecture, (v4_relat_1(esk2_0,esk1_0)), inference(split_conjunct,[status(thm)],[c_0_13])).
cnf(c_0_26, negated_conjecture, (v1_relat_1(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_13])).
fof(c_0_27, plain, ![X32]:k3_xboole_0(X32,X32)=X32, inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[idempotence_k3_xboole_0])])).
cnf(c_0_28, negated_conjecture, (k3_xboole_0(k9_xtuple_0(X1),esk1_0)=k9_xtuple_0(k13_funct_3(X1,esk3_0))|~v1_funct_1(X1)|~v1_relat_1(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21, c_0_22]), c_0_23]), c_0_20])])).
cnf(c_0_29, negated_conjecture, (k9_xtuple_0(esk2_0)=esk1_0), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17, c_0_24]), c_0_25]), c_0_26])])).
cnf(c_0_30, plain, (k3_xboole_0(X1,X1)=X1), inference(split_conjunct,[status(thm)],[c_0_27])).
cnf(c_0_31, negated_conjecture, (v1_funct_1(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_13])).
cnf(c_0_32, negated_conjecture, (k9_xtuple_0(k13_funct_3(esk2_0,esk3_0))!=esk1_0), inference(split_conjunct,[status(thm)],[c_0_13])).
cnf(c_0_33, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28, c_0_29]), c_0_30]), c_0_31]), c_0_26])]), c_0_32]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 34
# Proof object clause steps            : 21
# Proof object formula steps           : 13
# Proof object conjectures             : 16
# Proof object clause conjectures      : 13
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 15
# Proof object initial formulas used   : 6
# Proof object generating inferences   : 6
# Proof object simplifying inferences  : 16
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 6
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 20
# Removed in clause preprocessing      : 0
# Initial clauses in saturation        : 20
# Processed clauses                    : 84
# ...of these trivial                  : 1
# ...subsumed                          : 2
# ...remaining for further processing  : 81
# Other redundant clauses eliminated   : 0
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 14
# Backward-rewritten                   : 0
# Generated clauses                    : 242
# ...of the previous two non-trivial   : 229
# Contextual simplify-reflections      : 2
# Paramodulations                      : 233
# Factorizations                       : 0
# NegExts                              : 0
# Equation resolutions                 : 9
# 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  : 47
#    Positive orientable unit clauses  : 11
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 4
#    Non-unit-clauses                  : 32
# Current number of unprocessed clauses: 184
# ...number of literals in the above   : 2025
# Current number of archived formulas  : 0
# Current number of archived clauses   : 34
# Clause-clause subsumption calls (NU) : 1024
# Rec. Clause-clause subsumption calls : 74
# Non-unit clause-clause subsumptions  : 16
# Unit Clause-clause subsumption calls : 42
# 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          : 8396

# -------------------------------------------------
# User time                : 0.030 s
# System time              : 0.000 s
# Total time               : 0.030 s
# Maximum resident set size: 3020 pages
