# 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       : 0.021 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(t73_classes5, conjecture, ((k11_classes5(k5_numbers)=k5_funct_5&r2_funct_2(k1_tarski(k5_ordinal1),k1_tarski(k5_ordinal1),k12_classes5(k5_numbers),k8_funct_5))&r8_binop_1(k1_tarski(k5_ordinal1),k1_tarski(k5_ordinal1),k1_tarski(k5_ordinal1),k13_classes5(k5_numbers),k9_funct_5)), file('classes5/classes5__t73_classes5', t73_classes5)).
fof(d9_funcop_1, axiom, ![X1, X2]:k17_funcop_1(X1,X2)=k7_funcop_1(k1_tarski(X1),X2), file('classes5/classes5__t73_classes5', d9_funcop_1)).
fof(d19_classes5, axiom, ![X1]:k11_classes5(X1)=X1, file('classes5/classes5__t73_classes5', d19_classes5)).
fof(d20_classes5, axiom, ![X1]:k12_classes5(X1)=k17_funcop_1(X1,X1), file('classes5/classes5__t73_classes5', d20_classes5)).
fof(d21_classes5, axiom, ![X1]:k13_classes5(X1)=k18_funcop_1(X1,X1,X1), file('classes5/classes5__t73_classes5', d21_classes5)).
fof(d5_funct_5, axiom, k6_funct_5=k17_funcop_1(k5_ordinal1,k5_ordinal1), file('classes5/classes5__t73_classes5', d5_funct_5)).
fof(redefinition_r2_funct_2, axiom, ![X1, X2, X3, X4]:((((((v1_funct_1(X3)&v1_funct_2(X3,X1,X2))&m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2))))&v1_funct_1(X4))&v1_funct_2(X4,X1,X2))&m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2))))=>(r2_funct_2(X1,X2,X3,X4)<=>X3=X4)), file('classes5/classes5__t73_classes5', redefinition_r2_funct_2)).
fof(redefinition_k8_funct_5, axiom, k8_funct_5=k6_funct_5, file('classes5/classes5__t73_classes5', redefinition_k8_funct_5)).
fof(d6_funct_5, axiom, k7_funct_5=k18_funcop_1(k5_ordinal1,k5_ordinal1,k5_ordinal1), file('classes5/classes5__t73_classes5', d6_funct_5)).
fof(redefinition_k9_funct_5, axiom, k9_funct_5=k7_funct_5, file('classes5/classes5__t73_classes5', redefinition_k9_funct_5)).
fof(redefinition_r8_binop_1, axiom, ![X1, X2, X3, X4, X5]:((((((v1_funct_1(X4)&v1_funct_2(X4,k2_zfmisc_1(X1,X2),X3))&m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X1,X2),X3))))&v1_funct_1(X5))&v1_funct_2(X5,k2_zfmisc_1(X1,X2),X3))&m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X1,X2),X3))))=>(r8_binop_1(X1,X2,X3,X4,X5)<=>X4=X5)), file('classes5/classes5__t73_classes5', redefinition_r8_binop_1)).
fof(redefinition_k5_funct_5, axiom, k5_funct_5=k5_ordinal1, file('classes5/classes5__t73_classes5', redefinition_k5_funct_5)).
fof(redefinition_k5_numbers, axiom, k5_numbers=k5_ordinal1, file('classes5/classes5__t73_classes5', redefinition_k5_numbers)).
fof(dt_k8_funct_5, axiom, ((v1_funct_1(k8_funct_5)&v1_funct_2(k8_funct_5,k1_tarski(k5_ordinal1),k1_tarski(k5_ordinal1)))&m1_subset_1(k8_funct_5,k1_zfmisc_1(k2_zfmisc_1(k1_tarski(k5_ordinal1),k1_tarski(k5_ordinal1))))), file('classes5/classes5__t73_classes5', dt_k8_funct_5)).
fof(dt_k9_funct_5, axiom, ((v1_funct_1(k9_funct_5)&v1_funct_2(k9_funct_5,k2_zfmisc_1(k1_tarski(k5_ordinal1),k1_tarski(k5_ordinal1)),k1_tarski(k5_ordinal1)))&m1_subset_1(k9_funct_5,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_tarski(k5_ordinal1),k1_tarski(k5_ordinal1)),k1_tarski(k5_ordinal1))))), file('classes5/classes5__t73_classes5', dt_k9_funct_5)).
fof(c_0_15, negated_conjecture, ~(((k11_classes5(k5_numbers)=k5_funct_5&r2_funct_2(k1_tarski(k5_ordinal1),k1_tarski(k5_ordinal1),k12_classes5(k5_numbers),k8_funct_5))&r8_binop_1(k1_tarski(k5_ordinal1),k1_tarski(k5_ordinal1),k1_tarski(k5_ordinal1),k13_classes5(k5_numbers),k9_funct_5))), inference(assume_negation,[status(cth)],[t73_classes5])).
fof(c_0_16, plain, ![X32, X33]:k17_funcop_1(X32,X33)=k7_funcop_1(k1_tarski(X32),X33), inference(variable_rename,[status(thm)],[d9_funcop_1])).
fof(c_0_17, negated_conjecture, (k11_classes5(k5_numbers)!=k5_funct_5|~r2_funct_2(k1_tarski(k5_ordinal1),k1_tarski(k5_ordinal1),k12_classes5(k5_numbers),k8_funct_5)|~r8_binop_1(k1_tarski(k5_ordinal1),k1_tarski(k5_ordinal1),k1_tarski(k5_ordinal1),k13_classes5(k5_numbers),k9_funct_5)), inference(fof_nnf,[status(thm)],[c_0_15])).
fof(c_0_18, plain, ![X29]:k11_classes5(X29)=X29, inference(variable_rename,[status(thm)],[d19_classes5])).
fof(c_0_19, plain, ![X30]:k12_classes5(X30)=k17_funcop_1(X30,X30), inference(variable_rename,[status(thm)],[d20_classes5])).
fof(c_0_20, plain, ![X31]:k13_classes5(X31)=k18_funcop_1(X31,X31,X31), inference(variable_rename,[status(thm)],[d21_classes5])).
cnf(c_0_21, plain, (k6_funct_5=k17_funcop_1(k5_ordinal1,k5_ordinal1)), inference(split_conjunct,[status(thm)],[d5_funct_5])).
cnf(c_0_22, plain, (k17_funcop_1(X1,X2)=k7_funcop_1(k1_tarski(X1),X2)), inference(split_conjunct,[status(thm)],[c_0_16])).
fof(c_0_23, plain, ![X20, X21, X22, X23]:((~r2_funct_2(X20,X21,X22,X23)|X22=X23|(~v1_funct_1(X22)|~v1_funct_2(X22,X20,X21)|~m1_subset_1(X22,k1_zfmisc_1(k2_zfmisc_1(X20,X21)))|~v1_funct_1(X23)|~v1_funct_2(X23,X20,X21)|~m1_subset_1(X23,k1_zfmisc_1(k2_zfmisc_1(X20,X21)))))&(X22!=X23|r2_funct_2(X20,X21,X22,X23)|(~v1_funct_1(X22)|~v1_funct_2(X22,X20,X21)|~m1_subset_1(X22,k1_zfmisc_1(k2_zfmisc_1(X20,X21)))|~v1_funct_1(X23)|~v1_funct_2(X23,X20,X21)|~m1_subset_1(X23,k1_zfmisc_1(k2_zfmisc_1(X20,X21)))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_r2_funct_2])])])).
cnf(c_0_24, negated_conjecture, (k11_classes5(k5_numbers)!=k5_funct_5|~r2_funct_2(k1_tarski(k5_ordinal1),k1_tarski(k5_ordinal1),k12_classes5(k5_numbers),k8_funct_5)|~r8_binop_1(k1_tarski(k5_ordinal1),k1_tarski(k5_ordinal1),k1_tarski(k5_ordinal1),k13_classes5(k5_numbers),k9_funct_5)), inference(split_conjunct,[status(thm)],[c_0_17])).
cnf(c_0_25, plain, (k11_classes5(X1)=X1), inference(split_conjunct,[status(thm)],[c_0_18])).
cnf(c_0_26, plain, (k12_classes5(X1)=k17_funcop_1(X1,X1)), inference(split_conjunct,[status(thm)],[c_0_19])).
cnf(c_0_27, plain, (k13_classes5(X1)=k18_funcop_1(X1,X1,X1)), inference(split_conjunct,[status(thm)],[c_0_20])).
cnf(c_0_28, plain, (k6_funct_5=k7_funcop_1(k1_tarski(k5_ordinal1),k5_ordinal1)), inference(rw,[status(thm)],[c_0_21, c_0_22])).
cnf(c_0_29, plain, (k8_funct_5=k6_funct_5), inference(split_conjunct,[status(thm)],[redefinition_k8_funct_5])).
cnf(c_0_30, plain, (k7_funct_5=k18_funcop_1(k5_ordinal1,k5_ordinal1,k5_ordinal1)), inference(split_conjunct,[status(thm)],[d6_funct_5])).
cnf(c_0_31, plain, (k9_funct_5=k7_funct_5), inference(split_conjunct,[status(thm)],[redefinition_k9_funct_5])).
cnf(c_0_32, plain, (r2_funct_2(X3,X4,X1,X2)|X1!=X2|~v1_funct_1(X1)|~v1_funct_2(X1,X3,X4)|~m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X3,X4)))|~v1_funct_1(X2)|~v1_funct_2(X2,X3,X4)|~m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X3,X4)))), inference(split_conjunct,[status(thm)],[c_0_23])).
fof(c_0_33, plain, ![X24, X25, X26, X27, X28]:((~r8_binop_1(X24,X25,X26,X27,X28)|X27=X28|(~v1_funct_1(X27)|~v1_funct_2(X27,k2_zfmisc_1(X24,X25),X26)|~m1_subset_1(X27,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X24,X25),X26)))|~v1_funct_1(X28)|~v1_funct_2(X28,k2_zfmisc_1(X24,X25),X26)|~m1_subset_1(X28,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X24,X25),X26)))))&(X27!=X28|r8_binop_1(X24,X25,X26,X27,X28)|(~v1_funct_1(X27)|~v1_funct_2(X27,k2_zfmisc_1(X24,X25),X26)|~m1_subset_1(X27,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X24,X25),X26)))|~v1_funct_1(X28)|~v1_funct_2(X28,k2_zfmisc_1(X24,X25),X26)|~m1_subset_1(X28,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X24,X25),X26)))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_r8_binop_1])])])).
cnf(c_0_34, negated_conjecture, (k5_funct_5!=k5_numbers|~r2_funct_2(k1_tarski(k5_ordinal1),k1_tarski(k5_ordinal1),k7_funcop_1(k1_tarski(k5_numbers),k5_numbers),k8_funct_5)|~r8_binop_1(k1_tarski(k5_ordinal1),k1_tarski(k5_ordinal1),k1_tarski(k5_ordinal1),k18_funcop_1(k5_numbers,k5_numbers,k5_numbers),k9_funct_5)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_24, c_0_25]), c_0_26]), c_0_27]), c_0_22])).
cnf(c_0_35, plain, (k5_funct_5=k5_ordinal1), inference(split_conjunct,[status(thm)],[redefinition_k5_funct_5])).
cnf(c_0_36, plain, (k5_numbers=k5_ordinal1), inference(split_conjunct,[status(thm)],[redefinition_k5_numbers])).
cnf(c_0_37, plain, (k7_funcop_1(k1_tarski(k5_ordinal1),k5_ordinal1)=k8_funct_5), inference(rw,[status(thm)],[c_0_28, c_0_29])).
cnf(c_0_38, plain, (k18_funcop_1(k5_ordinal1,k5_ordinal1,k5_ordinal1)=k9_funct_5), inference(rw,[status(thm)],[c_0_30, c_0_31])).
cnf(c_0_39, plain, (r2_funct_2(X1,X2,X3,X3)|~m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))|~v1_funct_2(X3,X1,X2)|~v1_funct_1(X3)), inference(er,[status(thm)],[c_0_32])).
cnf(c_0_40, plain, (m1_subset_1(k8_funct_5,k1_zfmisc_1(k2_zfmisc_1(k1_tarski(k5_ordinal1),k1_tarski(k5_ordinal1))))), inference(split_conjunct,[status(thm)],[dt_k8_funct_5])).
cnf(c_0_41, plain, (v1_funct_2(k8_funct_5,k1_tarski(k5_ordinal1),k1_tarski(k5_ordinal1))), inference(split_conjunct,[status(thm)],[dt_k8_funct_5])).
cnf(c_0_42, plain, (v1_funct_1(k8_funct_5)), inference(split_conjunct,[status(thm)],[dt_k8_funct_5])).
cnf(c_0_43, plain, (r8_binop_1(X3,X4,X5,X1,X2)|X1!=X2|~v1_funct_1(X1)|~v1_funct_2(X1,k2_zfmisc_1(X3,X4),X5)|~m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X3,X4),X5)))|~v1_funct_1(X2)|~v1_funct_2(X2,k2_zfmisc_1(X3,X4),X5)|~m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X3,X4),X5)))), inference(split_conjunct,[status(thm)],[c_0_33])).
cnf(c_0_44, negated_conjecture, (~r8_binop_1(k1_tarski(k5_ordinal1),k1_tarski(k5_ordinal1),k1_tarski(k5_ordinal1),k9_funct_5,k9_funct_5)|~r2_funct_2(k1_tarski(k5_ordinal1),k1_tarski(k5_ordinal1),k8_funct_5,k8_funct_5)), 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_34, c_0_35]), c_0_36]), c_0_36]), c_0_36]), c_0_37]), c_0_36]), c_0_36]), c_0_36]), c_0_38])])).
cnf(c_0_45, plain, (r2_funct_2(k1_tarski(k5_ordinal1),k1_tarski(k5_ordinal1),k8_funct_5,k8_funct_5)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39, c_0_40]), c_0_41]), c_0_42])])).
cnf(c_0_46, plain, (r8_binop_1(X1,X2,X3,X4,X4)|~m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X1,X2),X3)))|~v1_funct_2(X4,k2_zfmisc_1(X1,X2),X3)|~v1_funct_1(X4)), inference(er,[status(thm)],[c_0_43])).
cnf(c_0_47, plain, (m1_subset_1(k9_funct_5,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_tarski(k5_ordinal1),k1_tarski(k5_ordinal1)),k1_tarski(k5_ordinal1))))), inference(split_conjunct,[status(thm)],[dt_k9_funct_5])).
cnf(c_0_48, plain, (v1_funct_2(k9_funct_5,k2_zfmisc_1(k1_tarski(k5_ordinal1),k1_tarski(k5_ordinal1)),k1_tarski(k5_ordinal1))), inference(split_conjunct,[status(thm)],[dt_k9_funct_5])).
cnf(c_0_49, plain, (v1_funct_1(k9_funct_5)), inference(split_conjunct,[status(thm)],[dt_k9_funct_5])).
cnf(c_0_50, negated_conjecture, (~r8_binop_1(k1_tarski(k5_ordinal1),k1_tarski(k5_ordinal1),k1_tarski(k5_ordinal1),k9_funct_5,k9_funct_5)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_44, c_0_45])])).
cnf(c_0_51, plain, ($false), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46, c_0_47]), c_0_48]), c_0_49])]), c_0_50]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 52
# Proof object clause steps            : 29
# Proof object formula steps           : 23
# Proof object conjectures             : 7
# Proof object clause conjectures      : 4
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 19
# Proof object initial formulas used   : 15
# Proof object generating inferences   : 2
# Proof object simplifying inferences  : 28
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 15
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 21
# Removed in clause preprocessing      : 4
# Initial clauses in saturation        : 17
# Processed clauses                    : 37
# ...of these trivial                  : 0
# ...subsumed                          : 0
# ...remaining for further processing  : 36
# Other redundant clauses eliminated   : 2
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 0
# Backward-rewritten                   : 1
# Generated clauses                    : 5
# ...of the previous two non-trivial   : 6
# Contextual simplify-reflections      : 0
# Paramodulations                      : 3
# Factorizations                       : 0
# NegExts                              : 0
# Equation resolutions                 : 2
# 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  : 13
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 1
#    Non-unit-clauses                  : 2
# Current number of unprocessed clauses: 3
# ...number of literals in the above   : 17
# Current number of archived formulas  : 0
# Current number of archived clauses   : 22
# Clause-clause subsumption calls (NU) : 25
# Rec. Clause-clause subsumption calls : 0
# Non-unit clause-clause subsumptions  : 0
# Unit Clause-clause subsumption calls : 0
# 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          : 1656

# -------------------------------------------------
# User time                : 0.025 s
# System time              : 0.000 s
# Total time               : 0.025 s
# Maximum resident set size: 3384 pages
