# 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       : 0.025 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(t68_classes5, conjecture, ![X1]:((~(v1_xboole_0(X1))&v1_classes2(X1))=>![X2, X3, X4]:(((r2_tarski(X2,X1)&r2_tarski(X3,X1))&r2_tarski(X4,X1))=>r2_tarski(k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X2,X3)),k1_zfmisc_1(k2_zfmisc_1(X2,X3))),k1_zfmisc_1(k2_zfmisc_1(X4,X3)))),X1))), file('classes5/classes5__t68_classes5', t68_classes5)).
fof(dt_k11_classes2, axiom, ![X1, X2, X3]:((((~(v1_xboole_0(X1))&v1_classes2(X1))&m1_subset_1(X2,X1))&m1_subset_1(X3,X1))=>m1_subset_1(k11_classes2(X1,X2,X3),X1)), file('classes5/classes5__t68_classes5', dt_k11_classes2)).
fof(t1_subset, axiom, ![X1, X2]:(r2_tarski(X1,X2)=>m1_subset_1(X1,X2)), file('classes5/classes5__t68_classes5', t1_subset)).
fof(redefinition_k11_classes2, axiom, ![X1, X2, X3]:((((~(v1_xboole_0(X1))&v1_classes2(X1))&m1_subset_1(X2,X1))&m1_subset_1(X3,X1))=>k11_classes2(X1,X2,X3)=k2_zfmisc_1(X2,X3)), file('classes5/classes5__t68_classes5', redefinition_k11_classes2)).
fof(dt_k2_classes2, axiom, ![X1, X2]:(((~(v1_xboole_0(X1))&v1_classes2(X1))&m1_subset_1(X2,X1))=>m1_subset_1(k2_classes2(X1,X2),X1)), file('classes5/classes5__t68_classes5', dt_k2_classes2)).
fof(redefinition_k2_classes2, axiom, ![X1, X2]:(((~(v1_xboole_0(X1))&v1_classes2(X1))&m1_subset_1(X2,X1))=>k2_classes2(X1,X2)=k1_zfmisc_1(X2)), file('classes5/classes5__t68_classes5', redefinition_k2_classes2)).
fof(t2_subset, axiom, ![X1, X2]:(m1_subset_1(X1,X2)=>(v1_xboole_0(X2)|r2_tarski(X1,X2))), file('classes5/classes5__t68_classes5', t2_subset)).
fof(c_0_7, negated_conjecture, ~(![X1]:((~v1_xboole_0(X1)&v1_classes2(X1))=>![X2, X3, X4]:(((r2_tarski(X2,X1)&r2_tarski(X3,X1))&r2_tarski(X4,X1))=>r2_tarski(k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X2,X3)),k1_zfmisc_1(k2_zfmisc_1(X2,X3))),k1_zfmisc_1(k2_zfmisc_1(X4,X3)))),X1)))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t68_classes5])])).
fof(c_0_8, plain, ![X1, X2, X3]:((((~v1_xboole_0(X1)&v1_classes2(X1))&m1_subset_1(X2,X1))&m1_subset_1(X3,X1))=>m1_subset_1(k11_classes2(X1,X2,X3),X1)), inference(fof_simplification,[status(thm)],[dt_k11_classes2])).
fof(c_0_9, plain, ![X37, X38]:(~r2_tarski(X37,X38)|m1_subset_1(X37,X38)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t1_subset])])).
fof(c_0_10, negated_conjecture, ((~v1_xboole_0(esk1_0)&v1_classes2(esk1_0))&(((r2_tarski(esk2_0,esk1_0)&r2_tarski(esk3_0,esk1_0))&r2_tarski(esk4_0,esk1_0))&~r2_tarski(k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(esk2_0,esk3_0)),k1_zfmisc_1(k2_zfmisc_1(esk2_0,esk3_0))),k1_zfmisc_1(k2_zfmisc_1(esk4_0,esk3_0)))),esk1_0))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])])).
fof(c_0_11, plain, ![X1, X2, X3]:((((~v1_xboole_0(X1)&v1_classes2(X1))&m1_subset_1(X2,X1))&m1_subset_1(X3,X1))=>k11_classes2(X1,X2,X3)=k2_zfmisc_1(X2,X3)), inference(fof_simplification,[status(thm)],[redefinition_k11_classes2])).
fof(c_0_12, plain, ![X27, X28, X29]:(v1_xboole_0(X27)|~v1_classes2(X27)|~m1_subset_1(X28,X27)|~m1_subset_1(X29,X27)|m1_subset_1(k11_classes2(X27,X28,X29),X27)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])).
cnf(c_0_13, plain, (m1_subset_1(X1,X2)|~r2_tarski(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_9])).
cnf(c_0_14, negated_conjecture, (r2_tarski(esk3_0,esk1_0)), inference(split_conjunct,[status(thm)],[c_0_10])).
fof(c_0_15, plain, ![X32, X33, X34]:(v1_xboole_0(X32)|~v1_classes2(X32)|~m1_subset_1(X33,X32)|~m1_subset_1(X34,X32)|k11_classes2(X32,X33,X34)=k2_zfmisc_1(X33,X34)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])).
fof(c_0_16, plain, ![X1, X2]:(((~v1_xboole_0(X1)&v1_classes2(X1))&m1_subset_1(X2,X1))=>m1_subset_1(k2_classes2(X1,X2),X1)), inference(fof_simplification,[status(thm)],[dt_k2_classes2])).
cnf(c_0_17, plain, (v1_xboole_0(X1)|m1_subset_1(k11_classes2(X1,X2,X3),X1)|~v1_classes2(X1)|~m1_subset_1(X2,X1)|~m1_subset_1(X3,X1)), inference(split_conjunct,[status(thm)],[c_0_12])).
cnf(c_0_18, negated_conjecture, (m1_subset_1(esk3_0,esk1_0)), inference(spm,[status(thm)],[c_0_13, c_0_14])).
cnf(c_0_19, negated_conjecture, (v1_classes2(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_20, negated_conjecture, (~v1_xboole_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_21, plain, (v1_xboole_0(X1)|k11_classes2(X1,X2,X3)=k2_zfmisc_1(X2,X3)|~v1_classes2(X1)|~m1_subset_1(X2,X1)|~m1_subset_1(X3,X1)), inference(split_conjunct,[status(thm)],[c_0_15])).
fof(c_0_22, plain, ![X1, X2]:(((~v1_xboole_0(X1)&v1_classes2(X1))&m1_subset_1(X2,X1))=>k2_classes2(X1,X2)=k1_zfmisc_1(X2)), inference(fof_simplification,[status(thm)],[redefinition_k2_classes2])).
fof(c_0_23, plain, ![X30, X31]:(v1_xboole_0(X30)|~v1_classes2(X30)|~m1_subset_1(X31,X30)|m1_subset_1(k2_classes2(X30,X31),X30)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_16])])).
cnf(c_0_24, negated_conjecture, (m1_subset_1(k11_classes2(esk1_0,X1,esk3_0),esk1_0)|~m1_subset_1(X1,esk1_0)), inference(sr,[status(thm)],[inference(cn,[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_25, negated_conjecture, (k11_classes2(esk1_0,X1,esk3_0)=k2_zfmisc_1(X1,esk3_0)|~m1_subset_1(X1,esk1_0)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21, c_0_18]), c_0_19])]), c_0_20])).
fof(c_0_26, plain, ![X35, X36]:(v1_xboole_0(X35)|~v1_classes2(X35)|~m1_subset_1(X36,X35)|k2_classes2(X35,X36)=k1_zfmisc_1(X36)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_22])])).
cnf(c_0_27, plain, (v1_xboole_0(X1)|m1_subset_1(k2_classes2(X1,X2),X1)|~v1_classes2(X1)|~m1_subset_1(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_23])).
cnf(c_0_28, negated_conjecture, (m1_subset_1(k2_zfmisc_1(X1,esk3_0),esk1_0)|~m1_subset_1(X1,esk1_0)), inference(spm,[status(thm)],[c_0_24, c_0_25])).
cnf(c_0_29, plain, (v1_xboole_0(X1)|k2_classes2(X1,X2)=k1_zfmisc_1(X2)|~v1_classes2(X1)|~m1_subset_1(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_26])).
cnf(c_0_30, negated_conjecture, (m1_subset_1(k2_classes2(esk1_0,k2_zfmisc_1(X1,esk3_0)),esk1_0)|~m1_subset_1(X1,esk1_0)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27, c_0_28]), c_0_19])]), c_0_20])).
cnf(c_0_31, negated_conjecture, (k2_classes2(esk1_0,k2_zfmisc_1(X1,esk3_0))=k1_zfmisc_1(k2_zfmisc_1(X1,esk3_0))|~m1_subset_1(X1,esk1_0)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29, c_0_28]), c_0_19])]), c_0_20])).
cnf(c_0_32, negated_conjecture, (m1_subset_1(k1_zfmisc_1(k2_zfmisc_1(X1,esk3_0)),esk1_0)|~m1_subset_1(X1,esk1_0)), inference(spm,[status(thm)],[c_0_30, c_0_31])).
fof(c_0_33, plain, ![X39, X40]:(~m1_subset_1(X39,X40)|(v1_xboole_0(X40)|r2_tarski(X39,X40))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_subset])])).
cnf(c_0_34, negated_conjecture, (m1_subset_1(k11_classes2(esk1_0,X1,k1_zfmisc_1(k2_zfmisc_1(X2,esk3_0))),esk1_0)|~m1_subset_1(X1,esk1_0)|~m1_subset_1(X2,esk1_0)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17, c_0_32]), c_0_19])]), c_0_20])).
cnf(c_0_35, plain, (v1_xboole_0(X2)|r2_tarski(X1,X2)|~m1_subset_1(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_33])).
cnf(c_0_36, negated_conjecture, (m1_subset_1(k2_classes2(esk1_0,k11_classes2(esk1_0,X1,k1_zfmisc_1(k2_zfmisc_1(X2,esk3_0)))),esk1_0)|~m1_subset_1(X1,esk1_0)|~m1_subset_1(X2,esk1_0)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27, c_0_34]), c_0_19])]), c_0_20])).
cnf(c_0_37, negated_conjecture, (r2_tarski(k2_classes2(esk1_0,k11_classes2(esk1_0,X1,k1_zfmisc_1(k2_zfmisc_1(X2,esk3_0)))),esk1_0)|~m1_subset_1(X1,esk1_0)|~m1_subset_1(X2,esk1_0)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_35, c_0_36]), c_0_20])).
cnf(c_0_38, negated_conjecture, (k2_classes2(esk1_0,k11_classes2(esk1_0,X1,k1_zfmisc_1(k2_zfmisc_1(X2,esk3_0))))=k1_zfmisc_1(k11_classes2(esk1_0,X1,k1_zfmisc_1(k2_zfmisc_1(X2,esk3_0))))|~m1_subset_1(X1,esk1_0)|~m1_subset_1(X2,esk1_0)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29, c_0_34]), c_0_19])]), c_0_20])).
cnf(c_0_39, negated_conjecture, (r2_tarski(k1_zfmisc_1(k11_classes2(esk1_0,X1,k1_zfmisc_1(k2_zfmisc_1(X2,esk3_0)))),esk1_0)|~m1_subset_1(X1,esk1_0)|~m1_subset_1(X2,esk1_0)), inference(spm,[status(thm)],[c_0_37, c_0_38])).
cnf(c_0_40, negated_conjecture, (k11_classes2(esk1_0,X1,k1_zfmisc_1(k2_zfmisc_1(X2,esk3_0)))=k2_zfmisc_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,esk3_0)))|~m1_subset_1(X1,esk1_0)|~m1_subset_1(X2,esk1_0)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21, c_0_32]), c_0_19])]), c_0_20])).
cnf(c_0_41, negated_conjecture, (r2_tarski(esk4_0,esk1_0)), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_42, negated_conjecture, (m1_subset_1(k11_classes2(esk1_0,X1,k2_classes2(esk1_0,k2_zfmisc_1(X2,esk3_0))),esk1_0)|~m1_subset_1(X1,esk1_0)|~m1_subset_1(X2,esk1_0)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17, c_0_30]), c_0_19])]), c_0_20])).
cnf(c_0_43, negated_conjecture, (k11_classes2(esk1_0,X1,k2_classes2(esk1_0,k2_zfmisc_1(X2,esk3_0)))=k2_zfmisc_1(X1,k2_classes2(esk1_0,k2_zfmisc_1(X2,esk3_0)))|~m1_subset_1(X1,esk1_0)|~m1_subset_1(X2,esk1_0)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21, c_0_30]), c_0_19])]), c_0_20])).
cnf(c_0_44, negated_conjecture, (~r2_tarski(k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(esk2_0,esk3_0)),k1_zfmisc_1(k2_zfmisc_1(esk2_0,esk3_0))),k1_zfmisc_1(k2_zfmisc_1(esk4_0,esk3_0)))),esk1_0)), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_45, negated_conjecture, (r2_tarski(k1_zfmisc_1(k2_zfmisc_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,esk3_0)))),esk1_0)|~m1_subset_1(X1,esk1_0)|~m1_subset_1(X2,esk1_0)), inference(spm,[status(thm)],[c_0_39, c_0_40])).
cnf(c_0_46, negated_conjecture, (m1_subset_1(esk4_0,esk1_0)), inference(spm,[status(thm)],[c_0_13, c_0_41])).
cnf(c_0_47, negated_conjecture, (m1_subset_1(k2_zfmisc_1(X1,k2_classes2(esk1_0,k2_zfmisc_1(X2,esk3_0))),esk1_0)|~m1_subset_1(X1,esk1_0)|~m1_subset_1(X2,esk1_0)), inference(spm,[status(thm)],[c_0_42, c_0_43])).
cnf(c_0_48, negated_conjecture, (r2_tarski(esk2_0,esk1_0)), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_49, negated_conjecture, (~m1_subset_1(k2_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(esk2_0,esk3_0)),k1_zfmisc_1(k2_zfmisc_1(esk2_0,esk3_0))),esk1_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44, c_0_45]), c_0_46])])).
cnf(c_0_50, negated_conjecture, (m1_subset_1(k2_zfmisc_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,esk3_0))),esk1_0)|~m1_subset_1(X1,esk1_0)|~m1_subset_1(X2,esk1_0)), inference(spm,[status(thm)],[c_0_47, c_0_31])).
cnf(c_0_51, negated_conjecture, (m1_subset_1(esk2_0,esk1_0)), inference(spm,[status(thm)],[c_0_13, c_0_48])).
cnf(c_0_52, negated_conjecture, (~m1_subset_1(k1_zfmisc_1(k2_zfmisc_1(esk2_0,esk3_0)),esk1_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49, c_0_50]), c_0_51])])).
cnf(c_0_53, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52, c_0_32]), c_0_51])]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 54
# Proof object clause steps            : 35
# Proof object formula steps           : 19
# Proof object conjectures             : 32
# Proof object clause conjectures      : 29
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 12
# Proof object initial formulas used   : 7
# Proof object generating inferences   : 23
# Proof object simplifying inferences  : 37
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 7
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 12
# Removed in clause preprocessing      : 0
# Initial clauses in saturation        : 12
# Processed clauses                    : 4223
# ...of these trivial                  : 27
# ...subsumed                          : 1882
# ...remaining for further processing  : 2314
# Other redundant clauses eliminated   : 0
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 0
# Backward-rewritten                   : 54
# Generated clauses                    : 7359
# ...of the previous two non-trivial   : 7304
# Contextual simplify-reflections      : 0
# Paramodulations                      : 7359
# 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  : 2248
#    Positive orientable unit clauses  : 238
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 4
#    Non-unit-clauses                  : 2006
# Current number of unprocessed clauses: 3066
# ...number of literals in the above   : 8981
# Current number of archived formulas  : 0
# Current number of archived clauses   : 66
# Clause-clause subsumption calls (NU) : 1571267
# Rec. Clause-clause subsumption calls : 955846
# Non-unit clause-clause subsumptions  : 1882
# Unit Clause-clause subsumption calls : 32803
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 12924
# BW rewrite match successes           : 27
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 219058

# -------------------------------------------------
# User time                : 0.269 s
# System time              : 0.007 s
# Total time               : 0.276 s
# Maximum resident set size: 3624 pages
