# 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       : 0.022 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(dt_k3_funct_2, axiom, ![X1, X2, X3, X4]:(((((~(v1_xboole_0(X1))&v1_funct_1(X3))&v1_funct_2(X3,X1,X2))&m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2))))&m1_subset_1(X4,X1))=>m1_subset_1(k3_funct_2(X1,X2,X3,X4),X2)), file('group_24/group_24__l24_group_24', dt_k3_funct_2)).
fof(l24_group_24, conjecture, ![X1]:((((~(v2_struct_0(X1))&v2_group_1(X1))&v3_group_1(X1))&l3_algstr_0(X1))=>![X2]:((((~(v2_struct_0(X2))&v2_group_1(X2))&v3_group_1(X2))&l3_algstr_0(X2))=>![X3]:((((v1_funct_1(X3)&v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2)))&v1_group_6(X3,X1,X2))&m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X2)))))=>![X4]:(m1_subset_1(X4,u1_struct_0(X1))=>r1_struct_0(X2,k3_funct_2(u1_struct_0(X1),u1_struct_0(X2),X3,X4)))))), file('group_24/group_24__l24_group_24', l24_group_24)).
fof(t2_subset, axiom, ![X1, X2]:(m1_subset_1(X1,X2)=>(v1_xboole_0(X2)|r2_tarski(X1,X2))), file('group_24/group_24__l24_group_24', t2_subset)).
fof(redefinition_r2_tarski, axiom, ![X1, X2]:(r2_tarski(X1,X2)<=>r2_hidden(X1,X2)), file('group_24/group_24__l24_group_24', redefinition_r2_tarski)).
fof(dt_l3_algstr_0, axiom, ![X1]:(l3_algstr_0(X1)=>l1_struct_0(X1)), file('group_24/group_24__l24_group_24', dt_l3_algstr_0)).
fof(fc2_struct_0, axiom, ![X1]:((~(v2_struct_0(X1))&l1_struct_0(X1))=>~(v1_xboole_0(u1_struct_0(X1)))), file('group_24/group_24__l24_group_24', fc2_struct_0)).
fof(d5_struct_0, axiom, ![X1]:(l1_struct_0(X1)=>![X2]:(r1_struct_0(X1,X2)<=>r2_hidden(X2,u1_struct_0(X1)))), file('group_24/group_24__l24_group_24', d5_struct_0)).
fof(c_0_7, plain, ![X1, X2, X3, X4]:(((((~v1_xboole_0(X1)&v1_funct_1(X3))&v1_funct_2(X3,X1,X2))&m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2))))&m1_subset_1(X4,X1))=>m1_subset_1(k3_funct_2(X1,X2,X3,X4),X2)), inference(fof_simplification,[status(thm)],[dt_k3_funct_2])).
fof(c_0_8, negated_conjecture, ~(![X1]:((((~v2_struct_0(X1)&v2_group_1(X1))&v3_group_1(X1))&l3_algstr_0(X1))=>![X2]:((((~v2_struct_0(X2)&v2_group_1(X2))&v3_group_1(X2))&l3_algstr_0(X2))=>![X3]:((((v1_funct_1(X3)&v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2)))&v1_group_6(X3,X1,X2))&m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X2)))))=>![X4]:(m1_subset_1(X4,u1_struct_0(X1))=>r1_struct_0(X2,k3_funct_2(u1_struct_0(X1),u1_struct_0(X2),X3,X4))))))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[l24_group_24])])).
fof(c_0_9, plain, ![X30, X31, X32, X33]:(v1_xboole_0(X30)|~v1_funct_1(X32)|~v1_funct_2(X32,X30,X31)|~m1_subset_1(X32,k1_zfmisc_1(k2_zfmisc_1(X30,X31)))|~m1_subset_1(X33,X30)|m1_subset_1(k3_funct_2(X30,X31,X32,X33),X31)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])).
fof(c_0_10, negated_conjecture, ((((~v2_struct_0(esk1_0)&v2_group_1(esk1_0))&v3_group_1(esk1_0))&l3_algstr_0(esk1_0))&((((~v2_struct_0(esk2_0)&v2_group_1(esk2_0))&v3_group_1(esk2_0))&l3_algstr_0(esk2_0))&((((v1_funct_1(esk3_0)&v1_funct_2(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0)))&v1_group_6(esk3_0,esk1_0,esk2_0))&m1_subset_1(esk3_0,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk2_0)))))&(m1_subset_1(esk4_0,u1_struct_0(esk1_0))&~r1_struct_0(esk2_0,k3_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),esk3_0,esk4_0)))))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])])).
cnf(c_0_11, plain, (v1_xboole_0(X1)|m1_subset_1(k3_funct_2(X1,X3,X2,X4),X3)|~v1_funct_1(X2)|~v1_funct_2(X2,X1,X3)|~m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X1,X3)))|~m1_subset_1(X4,X1)), inference(split_conjunct,[status(thm)],[c_0_9])).
cnf(c_0_12, negated_conjecture, (m1_subset_1(esk3_0,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk2_0))))), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_13, negated_conjecture, (v1_funct_2(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0))), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_14, negated_conjecture, (v1_funct_1(esk3_0)), inference(split_conjunct,[status(thm)],[c_0_10])).
fof(c_0_15, plain, ![X28, X29]:(~m1_subset_1(X28,X29)|(v1_xboole_0(X29)|r2_tarski(X28,X29))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_subset])])).
cnf(c_0_16, negated_conjecture, (v1_xboole_0(u1_struct_0(esk1_0))|m1_subset_1(k3_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),esk3_0,X1),u1_struct_0(esk2_0))|~m1_subset_1(X1,u1_struct_0(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11, c_0_12]), c_0_13]), c_0_14])])).
cnf(c_0_17, negated_conjecture, (m1_subset_1(esk4_0,u1_struct_0(esk1_0))), inference(split_conjunct,[status(thm)],[c_0_10])).
fof(c_0_18, plain, ![X25, X26]:((~r2_tarski(X25,X26)|r2_hidden(X25,X26))&(~r2_hidden(X25,X26)|r2_tarski(X25,X26))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_r2_tarski])])).
cnf(c_0_19, plain, (v1_xboole_0(X2)|r2_tarski(X1,X2)|~m1_subset_1(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_15])).
cnf(c_0_20, negated_conjecture, (v1_xboole_0(u1_struct_0(esk1_0))|m1_subset_1(k3_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),esk3_0,esk4_0),u1_struct_0(esk2_0))), inference(spm,[status(thm)],[c_0_16, c_0_17])).
fof(c_0_21, plain, ![X34]:(~l3_algstr_0(X34)|l1_struct_0(X34)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l3_algstr_0])])).
fof(c_0_22, 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])).
fof(c_0_23, plain, ![X35, X36]:((~r1_struct_0(X35,X36)|r2_hidden(X36,u1_struct_0(X35))|~l1_struct_0(X35))&(~r2_hidden(X36,u1_struct_0(X35))|r1_struct_0(X35,X36)|~l1_struct_0(X35))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d5_struct_0])])])])).
cnf(c_0_24, plain, (r2_hidden(X1,X2)|~r2_tarski(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_18])).
cnf(c_0_25, negated_conjecture, (v1_xboole_0(u1_struct_0(esk1_0))|v1_xboole_0(u1_struct_0(esk2_0))|r2_tarski(k3_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),esk3_0,esk4_0),u1_struct_0(esk2_0))), inference(spm,[status(thm)],[c_0_19, c_0_20])).
cnf(c_0_26, plain, (l1_struct_0(X1)|~l3_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_21])).
cnf(c_0_27, negated_conjecture, (l3_algstr_0(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_10])).
fof(c_0_28, plain, ![X27]:(v2_struct_0(X27)|~l1_struct_0(X27)|~v1_xboole_0(u1_struct_0(X27))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_22])])).
cnf(c_0_29, plain, (r1_struct_0(X2,X1)|~r2_hidden(X1,u1_struct_0(X2))|~l1_struct_0(X2)), inference(split_conjunct,[status(thm)],[c_0_23])).
cnf(c_0_30, negated_conjecture, (v1_xboole_0(u1_struct_0(esk2_0))|v1_xboole_0(u1_struct_0(esk1_0))|r2_hidden(k3_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),esk3_0,esk4_0),u1_struct_0(esk2_0))), inference(spm,[status(thm)],[c_0_24, c_0_25])).
cnf(c_0_31, negated_conjecture, (l1_struct_0(esk2_0)), inference(spm,[status(thm)],[c_0_26, c_0_27])).
cnf(c_0_32, negated_conjecture, (~r1_struct_0(esk2_0,k3_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),esk3_0,esk4_0))), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_33, negated_conjecture, (l3_algstr_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_34, plain, (v2_struct_0(X1)|~l1_struct_0(X1)|~v1_xboole_0(u1_struct_0(X1))), inference(split_conjunct,[status(thm)],[c_0_28])).
cnf(c_0_35, negated_conjecture, (v1_xboole_0(u1_struct_0(esk1_0))|v1_xboole_0(u1_struct_0(esk2_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29, c_0_30]), c_0_31])]), c_0_32])).
cnf(c_0_36, negated_conjecture, (l1_struct_0(esk1_0)), inference(spm,[status(thm)],[c_0_26, c_0_33])).
cnf(c_0_37, negated_conjecture, (~v2_struct_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_38, negated_conjecture, (v1_xboole_0(u1_struct_0(esk2_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34, c_0_35]), c_0_36])]), c_0_37])).
cnf(c_0_39, negated_conjecture, (~v2_struct_0(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_40, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34, c_0_38]), c_0_31])]), c_0_39]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 41
# Proof object clause steps            : 24
# Proof object formula steps           : 17
# Proof object conjectures             : 21
# Proof object clause conjectures      : 18
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 15
# Proof object initial formulas used   : 7
# Proof object generating inferences   : 9
# Proof object simplifying inferences  : 12
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 7
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 22
# Removed in clause preprocessing      : 0
# Initial clauses in saturation        : 22
# Processed clauses                    : 58
# ...of these trivial                  : 0
# ...subsumed                          : 0
# ...remaining for further processing  : 58
# Other redundant clauses eliminated   : 0
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 2
# Backward-rewritten                   : 2
# Generated clauses                    : 17
# ...of the previous two non-trivial   : 14
# Contextual simplify-reflections      : 0
# Paramodulations                      : 17
# 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  : 32
#    Positive orientable unit clauses  : 16
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 3
#    Non-unit-clauses                  : 13
# Current number of unprocessed clauses: 0
# ...number of literals in the above   : 0
# Current number of archived formulas  : 0
# Current number of archived clauses   : 26
# Clause-clause subsumption calls (NU) : 117
# Rec. Clause-clause subsumption calls : 77
# Non-unit clause-clause subsumptions  : 2
# Unit Clause-clause subsumption calls : 6
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 2
# BW rewrite match successes           : 2
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 1741

# -------------------------------------------------
# User time                : 0.022 s
# System time              : 0.004 s
# Total time               : 0.026 s
# Maximum resident set size: 3584 pages
