# No SInE strategy applied
# Trying AutoSched0 for 161 seconds
# AutoSched0-Mode selected heuristic G_E___208_B02_F1_AE_CS_SP_PS_S0Y
# and selection function SelectMaxLComplexAvoidPosPred.
#
# Preprocessing time       : 0.034 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(t16_gr_free0, conjecture, ![X1]:((~(v2_struct_0(X1))&l3_algstr_0(X1))=>![X2]:((~(v2_struct_0(X2))&l3_algstr_0(X2))=>![X3]:((~(v2_struct_0(X3))&l3_algstr_0(X3))=>![X4]:(m1_subset_1(X4,u1_struct_0(X3))=>r2_hidden(k4_tarski(np__3,X4),k1_gr_free0(k11_finseq_1(X1,X2,X3))))))), file('gr_free0/gr_free0__t16_gr_free0', t16_gr_free0)).
fof(t13_gr_free0, axiom, ![X1]:((~(v2_struct_0(X1))&l3_algstr_0(X1))=>![X2]:((~(v2_struct_0(X2))&l3_algstr_0(X2))=>![X3]:((~(v2_struct_0(X3))&l3_algstr_0(X3))=>k1_gr_free0(k11_finseq_1(X1,X2,X3))=k2_xboole_0(k2_xboole_0(k2_zfmisc_1(k1_tarski(np__1),u1_struct_0(X1)),k2_zfmisc_1(k1_tarski(np__2),u1_struct_0(X2))),k2_zfmisc_1(k1_tarski(np__3),u1_struct_0(X3)))))), file('gr_free0/gr_free0__t16_gr_free0', t13_gr_free0)).
fof(d3_xboole_0, axiom, ![X1, X2, X3]:(X3=k2_xboole_0(X1,X2)<=>![X4]:(r2_hidden(X4,X3)<=>(r2_hidden(X4,X1)|r2_hidden(X4,X2)))), file('gr_free0/gr_free0__t16_gr_free0', d3_xboole_0)).
fof(d2_zfmisc_1, axiom, ![X1, X2, X3]:(X3=k2_zfmisc_1(X1,X2)<=>![X4]:(r2_hidden(X4,X3)<=>?[X5, X6]:((r2_hidden(X5,X1)&r2_hidden(X6,X2))&X4=k4_tarski(X5,X6)))), file('gr_free0/gr_free0__t16_gr_free0', d2_zfmisc_1)).
fof(d1_tarski, axiom, ![X1, X2]:(X2=k1_tarski(X1)<=>![X3]:(r2_hidden(X3,X2)<=>X3=X1)), file('gr_free0/gr_free0__t16_gr_free0', d1_tarski)).
fof(fc2_struct_0, axiom, ![X1]:((~(v2_struct_0(X1))&l1_struct_0(X1))=>~(v1_xboole_0(u1_struct_0(X1)))), file('gr_free0/gr_free0__t16_gr_free0', fc2_struct_0)).
fof(redefinition_r2_tarski, axiom, ![X1, X2]:(r2_tarski(X1,X2)<=>r2_hidden(X1,X2)), file('gr_free0/gr_free0__t16_gr_free0', redefinition_r2_tarski)).
fof(t2_subset, axiom, ![X1, X2]:(m1_subset_1(X1,X2)=>(v1_xboole_0(X2)|r2_tarski(X1,X2))), file('gr_free0/gr_free0__t16_gr_free0', t2_subset)).
fof(dt_l3_algstr_0, axiom, ![X1]:(l3_algstr_0(X1)=>l1_struct_0(X1)), file('gr_free0/gr_free0__t16_gr_free0', dt_l3_algstr_0)).
fof(c_0_9, negated_conjecture, ~(![X1]:((~v2_struct_0(X1)&l3_algstr_0(X1))=>![X2]:((~v2_struct_0(X2)&l3_algstr_0(X2))=>![X3]:((~v2_struct_0(X3)&l3_algstr_0(X3))=>![X4]:(m1_subset_1(X4,u1_struct_0(X3))=>r2_hidden(k4_tarski(np__3,X4),k1_gr_free0(k11_finseq_1(X1,X2,X3)))))))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t16_gr_free0])])).
fof(c_0_10, plain, ![X1]:((~v2_struct_0(X1)&l3_algstr_0(X1))=>![X2]:((~v2_struct_0(X2)&l3_algstr_0(X2))=>![X3]:((~v2_struct_0(X3)&l3_algstr_0(X3))=>k1_gr_free0(k11_finseq_1(X1,X2,X3))=k2_xboole_0(k2_xboole_0(k2_zfmisc_1(k1_tarski(np__1),u1_struct_0(X1)),k2_zfmisc_1(k1_tarski(np__2),u1_struct_0(X2))),k2_zfmisc_1(k1_tarski(np__3),u1_struct_0(X3)))))), inference(fof_simplification,[status(thm)],[t13_gr_free0])).
fof(c_0_11, negated_conjecture, ((~v2_struct_0(esk1_0)&l3_algstr_0(esk1_0))&((~v2_struct_0(esk2_0)&l3_algstr_0(esk2_0))&((~v2_struct_0(esk3_0)&l3_algstr_0(esk3_0))&(m1_subset_1(esk4_0,u1_struct_0(esk3_0))&~r2_hidden(k4_tarski(np__3,esk4_0),k1_gr_free0(k11_finseq_1(esk1_0,esk2_0,esk3_0))))))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])])).
fof(c_0_12, plain, ![X74, X75, X76]:(v2_struct_0(X74)|~l3_algstr_0(X74)|(v2_struct_0(X75)|~l3_algstr_0(X75)|(v2_struct_0(X76)|~l3_algstr_0(X76)|k1_gr_free0(k11_finseq_1(X74,X75,X76))=k2_xboole_0(k2_xboole_0(k2_zfmisc_1(k1_tarski(np__1),u1_struct_0(X74)),k2_zfmisc_1(k1_tarski(np__2),u1_struct_0(X75))),k2_zfmisc_1(k1_tarski(np__3),u1_struct_0(X76)))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])])).
fof(c_0_13, plain, ![X61, X62, X63, X64, X65, X66, X67, X68]:(((~r2_hidden(X64,X63)|(r2_hidden(X64,X61)|r2_hidden(X64,X62))|X63!=k2_xboole_0(X61,X62))&((~r2_hidden(X65,X61)|r2_hidden(X65,X63)|X63!=k2_xboole_0(X61,X62))&(~r2_hidden(X65,X62)|r2_hidden(X65,X63)|X63!=k2_xboole_0(X61,X62))))&(((~r2_hidden(esk11_3(X66,X67,X68),X66)|~r2_hidden(esk11_3(X66,X67,X68),X68)|X68=k2_xboole_0(X66,X67))&(~r2_hidden(esk11_3(X66,X67,X68),X67)|~r2_hidden(esk11_3(X66,X67,X68),X68)|X68=k2_xboole_0(X66,X67)))&(r2_hidden(esk11_3(X66,X67,X68),X68)|(r2_hidden(esk11_3(X66,X67,X68),X66)|r2_hidden(esk11_3(X66,X67,X68),X67))|X68=k2_xboole_0(X66,X67)))), 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_xboole_0])])])])])])).
fof(c_0_14, plain, ![X44, X45, X46, X47, X50, X51, X52, X53, X54, X55, X57, X58]:(((((r2_hidden(esk6_4(X44,X45,X46,X47),X44)|~r2_hidden(X47,X46)|X46!=k2_zfmisc_1(X44,X45))&(r2_hidden(esk7_4(X44,X45,X46,X47),X45)|~r2_hidden(X47,X46)|X46!=k2_zfmisc_1(X44,X45)))&(X47=k4_tarski(esk6_4(X44,X45,X46,X47),esk7_4(X44,X45,X46,X47))|~r2_hidden(X47,X46)|X46!=k2_zfmisc_1(X44,X45)))&(~r2_hidden(X51,X44)|~r2_hidden(X52,X45)|X50!=k4_tarski(X51,X52)|r2_hidden(X50,X46)|X46!=k2_zfmisc_1(X44,X45)))&((~r2_hidden(esk8_3(X53,X54,X55),X55)|(~r2_hidden(X57,X53)|~r2_hidden(X58,X54)|esk8_3(X53,X54,X55)!=k4_tarski(X57,X58))|X55=k2_zfmisc_1(X53,X54))&(((r2_hidden(esk9_3(X53,X54,X55),X53)|r2_hidden(esk8_3(X53,X54,X55),X55)|X55=k2_zfmisc_1(X53,X54))&(r2_hidden(esk10_3(X53,X54,X55),X54)|r2_hidden(esk8_3(X53,X54,X55),X55)|X55=k2_zfmisc_1(X53,X54)))&(esk8_3(X53,X54,X55)=k4_tarski(esk9_3(X53,X54,X55),esk10_3(X53,X54,X55))|r2_hidden(esk8_3(X53,X54,X55),X55)|X55=k2_zfmisc_1(X53,X54))))), 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)],[d2_zfmisc_1])])])])])])).
cnf(c_0_15, negated_conjecture, (~r2_hidden(k4_tarski(np__3,esk4_0),k1_gr_free0(k11_finseq_1(esk1_0,esk2_0,esk3_0)))), inference(split_conjunct,[status(thm)],[c_0_11])).
cnf(c_0_16, plain, (v2_struct_0(X1)|v2_struct_0(X2)|v2_struct_0(X3)|k1_gr_free0(k11_finseq_1(X1,X2,X3))=k2_xboole_0(k2_xboole_0(k2_zfmisc_1(k1_tarski(np__1),u1_struct_0(X1)),k2_zfmisc_1(k1_tarski(np__2),u1_struct_0(X2))),k2_zfmisc_1(k1_tarski(np__3),u1_struct_0(X3)))|~l3_algstr_0(X1)|~l3_algstr_0(X2)|~l3_algstr_0(X3)), inference(split_conjunct,[status(thm)],[c_0_12])).
cnf(c_0_17, negated_conjecture, (l3_algstr_0(esk3_0)), inference(split_conjunct,[status(thm)],[c_0_11])).
cnf(c_0_18, negated_conjecture, (l3_algstr_0(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_11])).
cnf(c_0_19, negated_conjecture, (l3_algstr_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_11])).
cnf(c_0_20, negated_conjecture, (~v2_struct_0(esk3_0)), inference(split_conjunct,[status(thm)],[c_0_11])).
cnf(c_0_21, negated_conjecture, (~v2_struct_0(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_11])).
cnf(c_0_22, negated_conjecture, (~v2_struct_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_11])).
cnf(c_0_23, plain, (r2_hidden(X1,X3)|~r2_hidden(X1,X2)|X3!=k2_xboole_0(X4,X2)), inference(split_conjunct,[status(thm)],[c_0_13])).
cnf(c_0_24, plain, (r2_hidden(X5,X6)|~r2_hidden(X1,X2)|~r2_hidden(X3,X4)|X5!=k4_tarski(X1,X3)|X6!=k2_zfmisc_1(X2,X4)), inference(split_conjunct,[status(thm)],[c_0_14])).
cnf(c_0_25, negated_conjecture, (~r2_hidden(k4_tarski(np__3,esk4_0),k2_xboole_0(k2_xboole_0(k2_zfmisc_1(k1_tarski(np__1),u1_struct_0(esk1_0)),k2_zfmisc_1(k1_tarski(np__2),u1_struct_0(esk2_0))),k2_zfmisc_1(k1_tarski(np__3),u1_struct_0(esk3_0))))), inference(sr,[status(thm)],[inference(sr,[status(thm)],[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_15, c_0_16]), c_0_17]), c_0_18]), c_0_19])]), c_0_20]), c_0_21]), c_0_22])).
cnf(c_0_26, plain, (r2_hidden(X1,k2_xboole_0(X2,X3))|~r2_hidden(X1,X3)), inference(er,[status(thm)],[c_0_23])).
cnf(c_0_27, plain, (r2_hidden(X1,k2_zfmisc_1(X2,X3))|X1!=k4_tarski(X4,X5)|~r2_hidden(X5,X3)|~r2_hidden(X4,X2)), inference(er,[status(thm)],[c_0_24])).
fof(c_0_28, plain, ![X37, X38, X39, X40, X41, X42]:(((~r2_hidden(X39,X38)|X39=X37|X38!=k1_tarski(X37))&(X40!=X37|r2_hidden(X40,X38)|X38!=k1_tarski(X37)))&((~r2_hidden(esk5_2(X41,X42),X42)|esk5_2(X41,X42)!=X41|X42=k1_tarski(X41))&(r2_hidden(esk5_2(X41,X42),X42)|esk5_2(X41,X42)=X41|X42=k1_tarski(X41)))), 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_tarski])])])])])])).
fof(c_0_29, plain, ![X1]:((~v2_struct_0(X1)&l1_struct_0(X1))=>~v1_xboole_0(u1_struct_0(X1))), inference(fof_simplification,[status(thm)],[fc2_struct_0])).
cnf(c_0_30, negated_conjecture, (~r2_hidden(k4_tarski(np__3,esk4_0),k2_zfmisc_1(k1_tarski(np__3),u1_struct_0(esk3_0)))), inference(spm,[status(thm)],[c_0_25, c_0_26])).
cnf(c_0_31, plain, (r2_hidden(k4_tarski(X1,X2),k2_zfmisc_1(X3,X4))|~r2_hidden(X2,X4)|~r2_hidden(X1,X3)), inference(er,[status(thm)],[c_0_27])).
cnf(c_0_32, plain, (r2_hidden(X1,X3)|X1!=X2|X3!=k1_tarski(X2)), inference(split_conjunct,[status(thm)],[c_0_28])).
fof(c_0_33, plain, ![X72, X73]:((~r2_tarski(X72,X73)|r2_hidden(X72,X73))&(~r2_hidden(X72,X73)|r2_tarski(X72,X73))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_r2_tarski])])).
fof(c_0_34, plain, ![X77, X78]:(~m1_subset_1(X77,X78)|(v1_xboole_0(X78)|r2_tarski(X77,X78))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_subset])])).
fof(c_0_35, plain, ![X71]:(v2_struct_0(X71)|~l1_struct_0(X71)|~v1_xboole_0(u1_struct_0(X71))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_29])])).
cnf(c_0_36, negated_conjecture, (~r2_hidden(esk4_0,u1_struct_0(esk3_0))|~r2_hidden(np__3,k1_tarski(np__3))), inference(spm,[status(thm)],[c_0_30, c_0_31])).
cnf(c_0_37, plain, (r2_hidden(X1,X2)|X2!=k1_tarski(X1)), inference(er,[status(thm)],[c_0_32])).
cnf(c_0_38, plain, (r2_hidden(X1,X2)|~r2_tarski(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_33])).
cnf(c_0_39, plain, (v1_xboole_0(X2)|r2_tarski(X1,X2)|~m1_subset_1(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_34])).
cnf(c_0_40, plain, (v2_struct_0(X1)|~l1_struct_0(X1)|~v1_xboole_0(u1_struct_0(X1))), inference(split_conjunct,[status(thm)],[c_0_35])).
cnf(c_0_41, negated_conjecture, (~r2_hidden(esk4_0,u1_struct_0(esk3_0))), inference(spm,[status(thm)],[c_0_36, c_0_37])).
cnf(c_0_42, plain, (v1_xboole_0(X1)|r2_hidden(X2,X1)|~m1_subset_1(X2,X1)), inference(spm,[status(thm)],[c_0_38, c_0_39])).
cnf(c_0_43, negated_conjecture, (m1_subset_1(esk4_0,u1_struct_0(esk3_0))), inference(split_conjunct,[status(thm)],[c_0_11])).
cnf(c_0_44, negated_conjecture, (~v1_xboole_0(u1_struct_0(esk3_0))|~l1_struct_0(esk3_0)), inference(spm,[status(thm)],[c_0_20, c_0_40])).
cnf(c_0_45, negated_conjecture, (v1_xboole_0(u1_struct_0(esk3_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41, c_0_42]), c_0_43])])).
fof(c_0_46, plain, ![X70]:(~l3_algstr_0(X70)|l1_struct_0(X70)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l3_algstr_0])])).
cnf(c_0_47, negated_conjecture, (~l1_struct_0(esk3_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_44, c_0_45])])).
cnf(c_0_48, plain, (l1_struct_0(X1)|~l3_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_46])).
cnf(c_0_49, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47, c_0_48]), c_0_17])]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 50
# Proof object clause steps            : 29
# Proof object formula steps           : 21
# Proof object conjectures             : 19
# Proof object clause conjectures      : 16
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 16
# Proof object initial formulas used   : 9
# Proof object generating inferences   : 11
# Proof object simplifying inferences  : 14
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 9
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 32
# Removed in clause preprocessing      : 0
# Initial clauses in saturation        : 32
# Processed clauses                    : 122
# ...of these trivial                  : 1
# ...subsumed                          : 1
# ...remaining for further processing  : 120
# Other redundant clauses eliminated   : 11
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 0
# Backward-rewritten                   : 4
# Generated clauses                    : 548
# ...of the previous two non-trivial   : 531
# Contextual simplify-reflections      : 0
# Paramodulations                      : 522
# Factorizations                       : 2
# NegExts                              : 0
# Equation resolutions                 : 24
# 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  : 83
#    Positive orientable unit clauses  : 5
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 18
#    Non-unit-clauses                  : 60
# Current number of unprocessed clauses: 473
# ...number of literals in the above   : 2146
# Current number of archived formulas  : 0
# Current number of archived clauses   : 36
# Clause-clause subsumption calls (NU) : 1509
# Rec. Clause-clause subsumption calls : 1031
# Non-unit clause-clause subsumptions  : 0
# Unit Clause-clause subsumption calls : 228
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 1
# BW rewrite match successes           : 1
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 11411

# -------------------------------------------------
# User time                : 0.044 s
# System time              : 0.004 s
# Total time               : 0.049 s
# Maximum resident set size: 3476 pages
