# No SInE strategy applied
# Trying AutoSched0 for 161 seconds
# AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S072A
# and selection function SelectCQArEqFirst.
#
# Preprocessing time       : 0.020 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(dt_k3_group_1, axiom, ![X1]:((((~(v2_struct_0(X1))&v2_group_1(X1))&v3_group_1(X1))&l3_algstr_0(X1))=>((v1_funct_1(k3_group_1(X1))&v1_funct_2(k3_group_1(X1),u1_struct_0(X1),u1_struct_0(X1)))&m1_subset_1(k3_group_1(X1),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)))))), file('group_24/group_24__t88_group_24', dt_k3_group_1)).
fof(t88_group_24, conjecture, ![X1]:((((~(v2_struct_0(X1))&v2_group_1(X1))&v3_group_1(X1))&l3_algstr_0(X1))=>(v5_group_1(X1)=>((((v1_funct_1(k3_group_1(X1))&v1_funct_2(k3_group_1(X1),u1_struct_0(X1),u1_struct_0(X1)))&v3_funct_2(k3_group_1(X1),u1_struct_0(X1),u1_struct_0(X1)))&v1_group_6(k3_group_1(X1),X1,X1))&m1_subset_1(k3_group_1(X1),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1))))))), file('group_24/group_24__t88_group_24', t88_group_24)).
fof(fc7_group_6, axiom, ![X1]:(((((~(v2_struct_0(X1))&v2_group_1(X1))&v3_group_1(X1))&v5_group_1(X1))&l3_algstr_0(X1))=>((v1_funct_1(k3_group_1(X1))&v1_funct_2(k3_group_1(X1),u1_struct_0(X1),u1_struct_0(X1)))&v1_group_6(k3_group_1(X1),X1,X1))), file('group_24/group_24__t88_group_24', fc7_group_6)).
fof(fc2_topgrp_1, axiom, ![X1]:((((~(v2_struct_0(X1))&v2_group_1(X1))&v3_group_1(X1))&l3_algstr_0(X1))=>(((v1_funct_1(k3_group_1(X1))&v2_funct_1(k3_group_1(X1)))&v1_funct_2(k3_group_1(X1),u1_struct_0(X1),u1_struct_0(X1)))&v2_funct_2(k3_group_1(X1),u1_struct_0(X1)))), file('group_24/group_24__t88_group_24', fc2_topgrp_1)).
fof(cc7_funct_2, axiom, ![X1, X2, X3]:(m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))=>(((v1_funct_1(X3)&v2_funct_1(X3))&v2_funct_2(X3,X2))=>(v1_funct_1(X3)&v3_funct_2(X3,X1,X2)))), file('group_24/group_24__t88_group_24', cc7_funct_2)).
fof(c_0_5, plain, ![X1]:((((~v2_struct_0(X1)&v2_group_1(X1))&v3_group_1(X1))&l3_algstr_0(X1))=>((v1_funct_1(k3_group_1(X1))&v1_funct_2(k3_group_1(X1),u1_struct_0(X1),u1_struct_0(X1)))&m1_subset_1(k3_group_1(X1),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)))))), inference(fof_simplification,[status(thm)],[dt_k3_group_1])).
fof(c_0_6, negated_conjecture, ~(![X1]:((((~v2_struct_0(X1)&v2_group_1(X1))&v3_group_1(X1))&l3_algstr_0(X1))=>(v5_group_1(X1)=>((((v1_funct_1(k3_group_1(X1))&v1_funct_2(k3_group_1(X1),u1_struct_0(X1),u1_struct_0(X1)))&v3_funct_2(k3_group_1(X1),u1_struct_0(X1),u1_struct_0(X1)))&v1_group_6(k3_group_1(X1),X1,X1))&m1_subset_1(k3_group_1(X1),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)))))))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t88_group_24])])).
fof(c_0_7, plain, ![X15]:(((v1_funct_1(k3_group_1(X15))|(v2_struct_0(X15)|~v2_group_1(X15)|~v3_group_1(X15)|~l3_algstr_0(X15)))&(v1_funct_2(k3_group_1(X15),u1_struct_0(X15),u1_struct_0(X15))|(v2_struct_0(X15)|~v2_group_1(X15)|~v3_group_1(X15)|~l3_algstr_0(X15))))&(m1_subset_1(k3_group_1(X15),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X15),u1_struct_0(X15))))|(v2_struct_0(X15)|~v2_group_1(X15)|~v3_group_1(X15)|~l3_algstr_0(X15)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])])).
fof(c_0_8, negated_conjecture, ((((~v2_struct_0(esk1_0)&v2_group_1(esk1_0))&v3_group_1(esk1_0))&l3_algstr_0(esk1_0))&(v5_group_1(esk1_0)&(~v1_funct_1(k3_group_1(esk1_0))|~v1_funct_2(k3_group_1(esk1_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0))|~v3_funct_2(k3_group_1(esk1_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0))|~v1_group_6(k3_group_1(esk1_0),esk1_0,esk1_0)|~m1_subset_1(k3_group_1(esk1_0),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0))))))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])])).
fof(c_0_9, plain, ![X1]:(((((~v2_struct_0(X1)&v2_group_1(X1))&v3_group_1(X1))&v5_group_1(X1))&l3_algstr_0(X1))=>((v1_funct_1(k3_group_1(X1))&v1_funct_2(k3_group_1(X1),u1_struct_0(X1),u1_struct_0(X1)))&v1_group_6(k3_group_1(X1),X1,X1))), inference(fof_simplification,[status(thm)],[fc7_group_6])).
cnf(c_0_10, plain, (v1_funct_1(k3_group_1(X1))|v2_struct_0(X1)|~v2_group_1(X1)|~v3_group_1(X1)|~l3_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_7])).
cnf(c_0_11, negated_conjecture, (l3_algstr_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_8])).
cnf(c_0_12, negated_conjecture, (v3_group_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_8])).
cnf(c_0_13, negated_conjecture, (v2_group_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_8])).
cnf(c_0_14, negated_conjecture, (~v2_struct_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_8])).
fof(c_0_15, plain, ![X17]:(((v1_funct_1(k3_group_1(X17))|(v2_struct_0(X17)|~v2_group_1(X17)|~v3_group_1(X17)|~v5_group_1(X17)|~l3_algstr_0(X17)))&(v1_funct_2(k3_group_1(X17),u1_struct_0(X17),u1_struct_0(X17))|(v2_struct_0(X17)|~v2_group_1(X17)|~v3_group_1(X17)|~v5_group_1(X17)|~l3_algstr_0(X17))))&(v1_group_6(k3_group_1(X17),X17,X17)|(v2_struct_0(X17)|~v2_group_1(X17)|~v3_group_1(X17)|~v5_group_1(X17)|~l3_algstr_0(X17)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])])).
fof(c_0_16, plain, ![X1]:((((~v2_struct_0(X1)&v2_group_1(X1))&v3_group_1(X1))&l3_algstr_0(X1))=>(((v1_funct_1(k3_group_1(X1))&v2_funct_1(k3_group_1(X1)))&v1_funct_2(k3_group_1(X1),u1_struct_0(X1),u1_struct_0(X1)))&v2_funct_2(k3_group_1(X1),u1_struct_0(X1)))), inference(fof_simplification,[status(thm)],[fc2_topgrp_1])).
cnf(c_0_17, negated_conjecture, (~v1_funct_1(k3_group_1(esk1_0))|~v1_funct_2(k3_group_1(esk1_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0))|~v3_funct_2(k3_group_1(esk1_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0))|~v1_group_6(k3_group_1(esk1_0),esk1_0,esk1_0)|~m1_subset_1(k3_group_1(esk1_0),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0))))), inference(split_conjunct,[status(thm)],[c_0_8])).
cnf(c_0_18, negated_conjecture, (v1_funct_1(k3_group_1(esk1_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10, c_0_11]), c_0_12]), c_0_13])]), c_0_14])).
cnf(c_0_19, plain, (v1_group_6(k3_group_1(X1),X1,X1)|v2_struct_0(X1)|~v2_group_1(X1)|~v3_group_1(X1)|~v5_group_1(X1)|~l3_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_15])).
cnf(c_0_20, negated_conjecture, (v5_group_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_8])).
cnf(c_0_21, plain, (v1_funct_2(k3_group_1(X1),u1_struct_0(X1),u1_struct_0(X1))|v2_struct_0(X1)|~v2_group_1(X1)|~v3_group_1(X1)|~l3_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_7])).
fof(c_0_22, plain, ![X16]:((((v1_funct_1(k3_group_1(X16))|(v2_struct_0(X16)|~v2_group_1(X16)|~v3_group_1(X16)|~l3_algstr_0(X16)))&(v2_funct_1(k3_group_1(X16))|(v2_struct_0(X16)|~v2_group_1(X16)|~v3_group_1(X16)|~l3_algstr_0(X16))))&(v1_funct_2(k3_group_1(X16),u1_struct_0(X16),u1_struct_0(X16))|(v2_struct_0(X16)|~v2_group_1(X16)|~v3_group_1(X16)|~l3_algstr_0(X16))))&(v2_funct_2(k3_group_1(X16),u1_struct_0(X16))|(v2_struct_0(X16)|~v2_group_1(X16)|~v3_group_1(X16)|~l3_algstr_0(X16)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_16])])])).
cnf(c_0_23, negated_conjecture, (~m1_subset_1(k3_group_1(esk1_0),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0))))|~v1_group_6(k3_group_1(esk1_0),esk1_0,esk1_0)|~v3_funct_2(k3_group_1(esk1_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0))|~v1_funct_2(k3_group_1(esk1_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_17, c_0_18])])).
cnf(c_0_24, negated_conjecture, (v1_group_6(k3_group_1(esk1_0),esk1_0,esk1_0)), 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_19, c_0_11]), c_0_20]), c_0_12]), c_0_13])]), c_0_14])).
cnf(c_0_25, negated_conjecture, (v1_funct_2(k3_group_1(esk1_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21, c_0_11]), c_0_12]), c_0_13])]), c_0_14])).
cnf(c_0_26, plain, (m1_subset_1(k3_group_1(X1),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1))))|v2_struct_0(X1)|~v2_group_1(X1)|~v3_group_1(X1)|~l3_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_7])).
fof(c_0_27, plain, ![X12, X13, X14]:((v1_funct_1(X14)|(~v1_funct_1(X14)|~v2_funct_1(X14)|~v2_funct_2(X14,X13))|~m1_subset_1(X14,k1_zfmisc_1(k2_zfmisc_1(X12,X13))))&(v3_funct_2(X14,X12,X13)|(~v1_funct_1(X14)|~v2_funct_1(X14)|~v2_funct_2(X14,X13))|~m1_subset_1(X14,k1_zfmisc_1(k2_zfmisc_1(X12,X13))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc7_funct_2])])])).
cnf(c_0_28, plain, (v2_funct_2(k3_group_1(X1),u1_struct_0(X1))|v2_struct_0(X1)|~v2_group_1(X1)|~v3_group_1(X1)|~l3_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_22])).
cnf(c_0_29, plain, (v2_funct_1(k3_group_1(X1))|v2_struct_0(X1)|~v2_group_1(X1)|~v3_group_1(X1)|~l3_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_22])).
cnf(c_0_30, negated_conjecture, (~m1_subset_1(k3_group_1(esk1_0),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0))))|~v3_funct_2(k3_group_1(esk1_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_23, c_0_24])]), c_0_25])])).
cnf(c_0_31, negated_conjecture, (m1_subset_1(k3_group_1(esk1_0),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0))))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26, c_0_11]), c_0_12]), c_0_13])]), c_0_14])).
cnf(c_0_32, plain, (v3_funct_2(X1,X2,X3)|~v1_funct_1(X1)|~v2_funct_1(X1)|~v2_funct_2(X1,X3)|~m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))), inference(split_conjunct,[status(thm)],[c_0_27])).
cnf(c_0_33, negated_conjecture, (v2_funct_2(k3_group_1(esk1_0),u1_struct_0(esk1_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28, c_0_11]), c_0_12]), c_0_13])]), c_0_14])).
cnf(c_0_34, negated_conjecture, (v2_funct_1(k3_group_1(esk1_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29, c_0_11]), c_0_12]), c_0_13])]), c_0_14])).
cnf(c_0_35, negated_conjecture, (~v3_funct_2(k3_group_1(esk1_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_30, c_0_31])])).
cnf(c_0_36, 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_32, c_0_31]), c_0_33]), c_0_34]), c_0_18])]), c_0_35]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 37
# Proof object clause steps            : 23
# Proof object formula steps           : 14
# Proof object conjectures             : 19
# Proof object clause conjectures      : 16
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 13
# Proof object initial formulas used   : 5
# Proof object generating inferences   : 7
# Proof object simplifying inferences  : 38
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 5
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 18
# Removed in clause preprocessing      : 1
# Initial clauses in saturation        : 17
# Processed clauses                    : 39
# ...of these trivial                  : 0
# ...subsumed                          : 4
# ...remaining for further processing  : 34
# Other redundant clauses eliminated   : 0
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 0
# Backward-rewritten                   : 2
# Generated clauses                    : 7
# ...of the previous two non-trivial   : 9
# Contextual simplify-reflections      : 0
# Paramodulations                      : 7
# 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  : 19
#    Positive orientable unit clauses  : 10
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 2
#    Non-unit-clauses                  : 7
# Current number of unprocessed clauses: 0
# ...number of literals in the above   : 0
# Current number of archived formulas  : 0
# Current number of archived clauses   : 15
# Clause-clause subsumption calls (NU) : 34
# Rec. Clause-clause subsumption calls : 4
# Non-unit clause-clause subsumptions  : 4
# Unit Clause-clause subsumption calls : 0
# 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          : 2011

# -------------------------------------------------
# User time                : 0.022 s
# System time              : 0.001 s
# Total time               : 0.024 s
# Maximum resident set size: 3640 pages
