# No SInE strategy applied
# Trying AutoSched0 for 161 seconds
# AutoSched0-Mode selected heuristic G_E___107_C48_F1_PI_AE_Q4_CS_SP_PS_S0Y
# and selection function SelectMaxLComplexAvoidPosPred.
#
# Preprocessing time       : 0.020 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(fc5_gr_cy_1, axiom, ![X1]:((v7_ordinal1(X1)&~(v8_ordinal1(X1)))=>((((~(v2_struct_0(k4_gr_cy_1(X1)))&v8_struct_0(k4_gr_cy_1(X1)))&v15_algstr_0(k4_gr_cy_1(X1)))&v2_group_1(k4_gr_cy_1(X1)))&v3_group_1(k4_gr_cy_1(X1)))), file('group_24/group_24__t75_group_24', fc5_gr_cy_1)).
fof(rd1_group_24, axiom, ![X1]:((v7_ordinal1(X1)&~(v8_ordinal1(X1)))=>k7_group_1(k4_gr_cy_1(X1))=X1), file('group_24/group_24__t75_group_24', rd1_group_24)).
fof(redefinition_k7_group_1, axiom, ![X1]:((v8_struct_0(X1)&l1_struct_0(X1))=>k7_group_1(X1)=k7_struct_0(X1)), file('group_24/group_24__t75_group_24', redefinition_k7_group_1)).
fof(dt_k4_gr_cy_1, axiom, ![X1]:((v7_ordinal1(X1)&~(v8_ordinal1(X1)))=>((~(v2_struct_0(k4_gr_cy_1(X1)))&v15_algstr_0(k4_gr_cy_1(X1)))&l3_algstr_0(k4_gr_cy_1(X1)))), file('group_24/group_24__t75_group_24', dt_k4_gr_cy_1)).
fof(l87_group_24, axiom, ![X1]:((((~(v2_struct_0(X1))&v2_group_1(X1))&v3_group_1(X1))&l3_algstr_0(X1))=>(v7_struct_0(X1)<=>k7_struct_0(X1)=np__1)), file('group_24/group_24__t75_group_24', l87_group_24)).
fof(dt_l3_algstr_0, axiom, ![X1]:(l3_algstr_0(X1)=>l1_struct_0(X1)), file('group_24/group_24__t75_group_24', dt_l3_algstr_0)).
fof(t75_group_24, conjecture, ![X1]:((v7_ordinal1(X1)&~(v8_ordinal1(X1)))=>(v7_struct_0(k4_gr_cy_1(X1))<=>X1=np__1)), file('group_24/group_24__t75_group_24', t75_group_24)).
fof(fc9_group_24, axiom, ((~(v2_struct_0(k4_gr_cy_1(np__1)))&v7_struct_0(k4_gr_cy_1(np__1)))&v15_algstr_0(k4_gr_cy_1(np__1))), file('group_24/group_24__t75_group_24', fc9_group_24)).
fof(c_0_8, plain, ![X1]:((v7_ordinal1(X1)&~v8_ordinal1(X1))=>((((~v2_struct_0(k4_gr_cy_1(X1))&v8_struct_0(k4_gr_cy_1(X1)))&v15_algstr_0(k4_gr_cy_1(X1)))&v2_group_1(k4_gr_cy_1(X1)))&v3_group_1(k4_gr_cy_1(X1)))), inference(fof_simplification,[status(thm)],[fc5_gr_cy_1])).
fof(c_0_9, plain, ![X1]:((v7_ordinal1(X1)&~v8_ordinal1(X1))=>k7_group_1(k4_gr_cy_1(X1))=X1), inference(fof_simplification,[status(thm)],[rd1_group_24])).
fof(c_0_10, plain, ![X15]:(~v8_struct_0(X15)|~l1_struct_0(X15)|k7_group_1(X15)=k7_struct_0(X15)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k7_group_1])])).
fof(c_0_11, plain, ![X12]:(((((~v2_struct_0(k4_gr_cy_1(X12))|(~v7_ordinal1(X12)|v8_ordinal1(X12)))&(v8_struct_0(k4_gr_cy_1(X12))|(~v7_ordinal1(X12)|v8_ordinal1(X12))))&(v15_algstr_0(k4_gr_cy_1(X12))|(~v7_ordinal1(X12)|v8_ordinal1(X12))))&(v2_group_1(k4_gr_cy_1(X12))|(~v7_ordinal1(X12)|v8_ordinal1(X12))))&(v3_group_1(k4_gr_cy_1(X12))|(~v7_ordinal1(X12)|v8_ordinal1(X12)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])])).
fof(c_0_12, plain, ![X14]:(~v7_ordinal1(X14)|v8_ordinal1(X14)|k7_group_1(k4_gr_cy_1(X14))=X14), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])).
cnf(c_0_13, plain, (k7_group_1(X1)=k7_struct_0(X1)|~v8_struct_0(X1)|~l1_struct_0(X1)), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_14, plain, (v8_struct_0(k4_gr_cy_1(X1))|v8_ordinal1(X1)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_11])).
fof(c_0_15, plain, ![X1]:((v7_ordinal1(X1)&~v8_ordinal1(X1))=>((~v2_struct_0(k4_gr_cy_1(X1))&v15_algstr_0(k4_gr_cy_1(X1)))&l3_algstr_0(k4_gr_cy_1(X1)))), inference(fof_simplification,[status(thm)],[dt_k4_gr_cy_1])).
fof(c_0_16, plain, ![X1]:((((~v2_struct_0(X1)&v2_group_1(X1))&v3_group_1(X1))&l3_algstr_0(X1))=>(v7_struct_0(X1)<=>k7_struct_0(X1)=np__1)), inference(fof_simplification,[status(thm)],[l87_group_24])).
cnf(c_0_17, plain, (v8_ordinal1(X1)|k7_group_1(k4_gr_cy_1(X1))=X1|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_12])).
cnf(c_0_18, plain, (k7_group_1(k4_gr_cy_1(X1))=k7_struct_0(k4_gr_cy_1(X1))|v8_ordinal1(X1)|~l1_struct_0(k4_gr_cy_1(X1))|~v7_ordinal1(X1)), inference(spm,[status(thm)],[c_0_13, c_0_14])).
fof(c_0_19, plain, ![X11]:(~l3_algstr_0(X11)|l1_struct_0(X11)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l3_algstr_0])])).
fof(c_0_20, plain, ![X10]:(((~v2_struct_0(k4_gr_cy_1(X10))|(~v7_ordinal1(X10)|v8_ordinal1(X10)))&(v15_algstr_0(k4_gr_cy_1(X10))|(~v7_ordinal1(X10)|v8_ordinal1(X10))))&(l3_algstr_0(k4_gr_cy_1(X10))|(~v7_ordinal1(X10)|v8_ordinal1(X10)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_15])])])).
fof(c_0_21, plain, ![X13]:((~v7_struct_0(X13)|k7_struct_0(X13)=np__1|(v2_struct_0(X13)|~v2_group_1(X13)|~v3_group_1(X13)|~l3_algstr_0(X13)))&(k7_struct_0(X13)!=np__1|v7_struct_0(X13)|(v2_struct_0(X13)|~v2_group_1(X13)|~v3_group_1(X13)|~l3_algstr_0(X13)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_16])])])).
cnf(c_0_22, plain, (k7_struct_0(k4_gr_cy_1(X1))=X1|v8_ordinal1(X1)|~l1_struct_0(k4_gr_cy_1(X1))|~v7_ordinal1(X1)), inference(spm,[status(thm)],[c_0_17, c_0_18])).
cnf(c_0_23, plain, (l1_struct_0(X1)|~l3_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_19])).
cnf(c_0_24, plain, (l3_algstr_0(k4_gr_cy_1(X1))|v8_ordinal1(X1)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_20])).
fof(c_0_25, negated_conjecture, ~(![X1]:((v7_ordinal1(X1)&~v8_ordinal1(X1))=>(v7_struct_0(k4_gr_cy_1(X1))<=>X1=np__1))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t75_group_24])])).
cnf(c_0_26, plain, (k7_struct_0(X1)=np__1|v2_struct_0(X1)|~v7_struct_0(X1)|~v2_group_1(X1)|~v3_group_1(X1)|~l3_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_21])).
cnf(c_0_27, plain, (k7_struct_0(k4_gr_cy_1(X1))=X1|v8_ordinal1(X1)|~v7_ordinal1(X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_22, c_0_23]), c_0_24])).
cnf(c_0_28, plain, (v2_group_1(k4_gr_cy_1(X1))|v8_ordinal1(X1)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_11])).
cnf(c_0_29, plain, (v3_group_1(k4_gr_cy_1(X1))|v8_ordinal1(X1)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_11])).
cnf(c_0_30, plain, (v8_ordinal1(X1)|~v2_struct_0(k4_gr_cy_1(X1))|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_20])).
fof(c_0_31, negated_conjecture, ((v7_ordinal1(esk1_0)&~v8_ordinal1(esk1_0))&((~v7_struct_0(k4_gr_cy_1(esk1_0))|esk1_0!=np__1)&(v7_struct_0(k4_gr_cy_1(esk1_0))|esk1_0=np__1))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_25])])])).
cnf(c_0_32, plain, (X1=np__1|v8_ordinal1(X1)|~v7_struct_0(k4_gr_cy_1(X1))|~v7_ordinal1(X1)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_26, c_0_27]), c_0_24]), c_0_28]), c_0_29]), c_0_30])).
cnf(c_0_33, negated_conjecture, (v7_struct_0(k4_gr_cy_1(esk1_0))|esk1_0=np__1), inference(split_conjunct,[status(thm)],[c_0_31])).
cnf(c_0_34, negated_conjecture, (v7_ordinal1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_31])).
cnf(c_0_35, negated_conjecture, (~v8_ordinal1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_31])).
fof(c_0_36, plain, ((~v2_struct_0(k4_gr_cy_1(np__1))&v7_struct_0(k4_gr_cy_1(np__1)))&v15_algstr_0(k4_gr_cy_1(np__1))), inference(fof_simplification,[status(thm)],[fc9_group_24])).
cnf(c_0_37, negated_conjecture, (~v7_struct_0(k4_gr_cy_1(esk1_0))|esk1_0!=np__1), inference(split_conjunct,[status(thm)],[c_0_31])).
cnf(c_0_38, negated_conjecture, (esk1_0=np__1), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32, c_0_33]), c_0_34])]), c_0_35])).
cnf(c_0_39, plain, (v7_struct_0(k4_gr_cy_1(np__1))), inference(split_conjunct,[status(thm)],[c_0_36])).
cnf(c_0_40, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_37, c_0_38]), c_0_38]), c_0_39])]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 41
# Proof object clause steps            : 20
# Proof object formula steps           : 21
# Proof object conjectures             : 9
# Proof object clause conjectures      : 6
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 14
# Proof object initial formulas used   : 8
# Proof object generating inferences   : 5
# Proof object simplifying inferences  : 12
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 8
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 20
# Removed in clause preprocessing      : 0
# Initial clauses in saturation        : 20
# Processed clauses                    : 43
# ...of these trivial                  : 0
# ...subsumed                          : 2
# ...remaining for further processing  : 41
# Other redundant clauses eliminated   : 0
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 1
# Backward-rewritten                   : 4
# Generated clauses                    : 8
# ...of the previous two non-trivial   : 6
# Contextual simplify-reflections      : 5
# Paramodulations                      : 8
# 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  : 18
#    Positive orientable unit clauses  : 3
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 1
#    Non-unit-clauses                  : 14
# Current number of unprocessed clauses: 1
# ...number of literals in the above   : 8
# Current number of archived formulas  : 0
# Current number of archived clauses   : 23
# Clause-clause subsumption calls (NU) : 149
# Rec. Clause-clause subsumption calls : 71
# Non-unit clause-clause subsumptions  : 8
# 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          : 1657

# -------------------------------------------------
# User time                : 0.020 s
# System time              : 0.004 s
# Total time               : 0.024 s
# Maximum resident set size: 2996 pages
