# 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       : 0.020 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(t86_group_24, axiom, ![X1]:((v7_ordinal1(X1)&~(v8_ordinal1(X1)))=>![X2]:(m1_subset_1(X2,u1_struct_0(k4_gr_cy_1(X1)))=>(X2=np__1=>![X3]:(v7_ordinal1(X3)=>k5_group_1(k4_gr_cy_1(X1),X2,X3)=k4_nat_d(X3,X1))))), file('group_24/group_24__t87_group_24', t86_group_24)).
fof(t87_group_24, conjecture, ![X1]:((v7_ordinal1(X1)&~(v8_ordinal1(X1)))=>![X2]:(m1_subset_1(X2,u1_struct_0(k4_gr_cy_1(X1)))=>(X2=np__1=>![X3]:(v7_ordinal1(X3)=>![X4]:(v7_ordinal1(X4)=>(k5_group_1(k4_gr_cy_1(X1),X2,X3)=k5_group_1(k4_gr_cy_1(X1),X2,X4)<=>k4_nat_d(X3,X1)=k4_nat_d(X4,X1))))))), file('group_24/group_24__t87_group_24', t87_group_24)).
fof(c_0_2, plain, ![X1]:((v7_ordinal1(X1)&~v8_ordinal1(X1))=>![X2]:(m1_subset_1(X2,u1_struct_0(k4_gr_cy_1(X1)))=>(X2=np__1=>![X3]:(v7_ordinal1(X3)=>k5_group_1(k4_gr_cy_1(X1),X2,X3)=k4_nat_d(X3,X1))))), inference(fof_simplification,[status(thm)],[t86_group_24])).
fof(c_0_3, negated_conjecture, ~(![X1]:((v7_ordinal1(X1)&~v8_ordinal1(X1))=>![X2]:(m1_subset_1(X2,u1_struct_0(k4_gr_cy_1(X1)))=>(X2=np__1=>![X3]:(v7_ordinal1(X3)=>![X4]:(v7_ordinal1(X4)=>(k5_group_1(k4_gr_cy_1(X1),X2,X3)=k5_group_1(k4_gr_cy_1(X1),X2,X4)<=>k4_nat_d(X3,X1)=k4_nat_d(X4,X1)))))))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t87_group_24])])).
fof(c_0_4, plain, ![X16, X17, X18]:(~v7_ordinal1(X16)|v8_ordinal1(X16)|(~m1_subset_1(X17,u1_struct_0(k4_gr_cy_1(X16)))|(X17!=np__1|(~v7_ordinal1(X18)|k5_group_1(k4_gr_cy_1(X16),X17,X18)=k4_nat_d(X18,X16))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])])).
fof(c_0_5, negated_conjecture, ((v7_ordinal1(esk1_0)&~v8_ordinal1(esk1_0))&(m1_subset_1(esk2_0,u1_struct_0(k4_gr_cy_1(esk1_0)))&(esk2_0=np__1&(v7_ordinal1(esk3_0)&(v7_ordinal1(esk4_0)&((k5_group_1(k4_gr_cy_1(esk1_0),esk2_0,esk3_0)!=k5_group_1(k4_gr_cy_1(esk1_0),esk2_0,esk4_0)|k4_nat_d(esk3_0,esk1_0)!=k4_nat_d(esk4_0,esk1_0))&(k5_group_1(k4_gr_cy_1(esk1_0),esk2_0,esk3_0)=k5_group_1(k4_gr_cy_1(esk1_0),esk2_0,esk4_0)|k4_nat_d(esk3_0,esk1_0)=k4_nat_d(esk4_0,esk1_0)))))))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])])).
cnf(c_0_6, plain, (v8_ordinal1(X1)|k5_group_1(k4_gr_cy_1(X1),X2,X3)=k4_nat_d(X3,X1)|~v7_ordinal1(X1)|~m1_subset_1(X2,u1_struct_0(k4_gr_cy_1(X1)))|X2!=np__1|~v7_ordinal1(X3)), inference(split_conjunct,[status(thm)],[c_0_4])).
cnf(c_0_7, negated_conjecture, (esk2_0=np__1), inference(split_conjunct,[status(thm)],[c_0_5])).
cnf(c_0_8, plain, (k5_group_1(k4_gr_cy_1(X1),esk2_0,X2)=k4_nat_d(X2,X1)|v8_ordinal1(X1)|~m1_subset_1(esk2_0,u1_struct_0(k4_gr_cy_1(X1)))|~v7_ordinal1(X2)|~v7_ordinal1(X1)), inference(er,[status(thm)],[inference(rw,[status(thm)],[c_0_6, c_0_7])])).
cnf(c_0_9, negated_conjecture, (m1_subset_1(esk2_0,u1_struct_0(k4_gr_cy_1(esk1_0)))), inference(split_conjunct,[status(thm)],[c_0_5])).
cnf(c_0_10, negated_conjecture, (v7_ordinal1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_5])).
cnf(c_0_11, negated_conjecture, (~v8_ordinal1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_5])).
cnf(c_0_12, negated_conjecture, (k5_group_1(k4_gr_cy_1(esk1_0),esk2_0,esk3_0)!=k5_group_1(k4_gr_cy_1(esk1_0),esk2_0,esk4_0)|k4_nat_d(esk3_0,esk1_0)!=k4_nat_d(esk4_0,esk1_0)), inference(split_conjunct,[status(thm)],[c_0_5])).
cnf(c_0_13, negated_conjecture, (k5_group_1(k4_gr_cy_1(esk1_0),esk2_0,X1)=k4_nat_d(X1,esk1_0)|~v7_ordinal1(X1)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8, c_0_9]), c_0_10])]), c_0_11])).
cnf(c_0_14, negated_conjecture, (v7_ordinal1(esk4_0)), inference(split_conjunct,[status(thm)],[c_0_5])).
cnf(c_0_15, negated_conjecture, (k5_group_1(k4_gr_cy_1(esk1_0),esk2_0,esk3_0)!=k4_nat_d(esk4_0,esk1_0)|k4_nat_d(esk4_0,esk1_0)!=k4_nat_d(esk3_0,esk1_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12, c_0_13]), c_0_14])])).
cnf(c_0_16, negated_conjecture, (v7_ordinal1(esk3_0)), inference(split_conjunct,[status(thm)],[c_0_5])).
cnf(c_0_17, negated_conjecture, (k5_group_1(k4_gr_cy_1(esk1_0),esk2_0,esk3_0)=k5_group_1(k4_gr_cy_1(esk1_0),esk2_0,esk4_0)|k4_nat_d(esk3_0,esk1_0)=k4_nat_d(esk4_0,esk1_0)), inference(split_conjunct,[status(thm)],[c_0_5])).
cnf(c_0_18, negated_conjecture, (k4_nat_d(esk4_0,esk1_0)!=k4_nat_d(esk3_0,esk1_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15, c_0_13]), c_0_16])])).
cnf(c_0_19, negated_conjecture, (k5_group_1(k4_gr_cy_1(esk1_0),esk2_0,esk4_0)=k5_group_1(k4_gr_cy_1(esk1_0),esk2_0,esk3_0)), inference(sr,[status(thm)],[c_0_17, c_0_18])).
cnf(c_0_20, negated_conjecture, (k5_group_1(k4_gr_cy_1(esk1_0),esk2_0,esk3_0)=k4_nat_d(esk4_0,esk1_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13, c_0_19]), c_0_14])])).
cnf(c_0_21, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13, c_0_20]), c_0_16])]), c_0_18]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 22
# Proof object clause steps            : 16
# Proof object formula steps           : 6
# Proof object conjectures             : 17
# Proof object clause conjectures      : 14
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 9
# Proof object initial formulas used   : 2
# Proof object generating inferences   : 5
# Proof object simplifying inferences  : 15
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 2
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 9
# Removed in clause preprocessing      : 0
# Initial clauses in saturation        : 9
# Processed clauses                    : 25
# ...of these trivial                  : 0
# ...subsumed                          : 1
# ...remaining for further processing  : 24
# Other redundant clauses eliminated   : 1
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 0
# Backward-rewritten                   : 3
# Generated clauses                    : 9
# ...of the previous two non-trivial   : 10
# Contextual simplify-reflections      : 0
# Paramodulations                      : 7
# Factorizations                       : 0
# NegExts                              : 0
# Equation resolutions                 : 1
# 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  : 10
#    Positive orientable unit clauses  : 6
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 2
#    Non-unit-clauses                  : 2
# Current number of unprocessed clauses: 1
# ...number of literals in the above   : 2
# Current number of archived formulas  : 0
# Current number of archived clauses   : 13
# Clause-clause subsumption calls (NU) : 0
# Rec. Clause-clause subsumption calls : 0
# Non-unit clause-clause subsumptions  : 0
# Unit Clause-clause subsumption calls : 2
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 6
# BW rewrite match successes           : 2
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 864

# -------------------------------------------------
# User time                : 0.023 s
# System time              : 0.000 s
# Total time               : 0.023 s
# Maximum resident set size: 2956 pages
