# No SInE strategy applied
# Trying AutoSched0 for 161 seconds
# AutoSched0-Mode selected heuristic G_E___207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y
# and selection function SelectMaxLComplexAvoidPosPred.
#
# Preprocessing time       : 0.021 s

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
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__t78_group_24', dt_k4_gr_cy_1)).
fof(t72_group_24, axiom, ![X1]:((v7_ordinal1(X1)&~(v8_ordinal1(X1)))=>u1_struct_0(k4_gr_cy_1(X1))=k5_card_1(X1)), file('group_24/group_24__t78_group_24', t72_group_24)).
fof(dt_l3_algstr_0, axiom, ![X1]:(l3_algstr_0(X1)=>l1_struct_0(X1)), file('group_24/group_24__t78_group_24', dt_l3_algstr_0)).
fof(redefinition_k5_card_1, axiom, ![X1]:(v7_ordinal1(X1)=>k5_card_1(X1)=k6_ordinal1(X1)), file('group_24/group_24__t78_group_24', redefinition_k5_card_1)).
fof(d17_ordinal1, axiom, ![X1]:k6_ordinal1(X1)=X1, file('group_24/group_24__t78_group_24', d17_ordinal1)).
fof(cc8_ordinal1, axiom, ![X1]:(m1_subset_1(X1,k4_ordinal1)=>v7_ordinal1(X1)), file('group_24/group_24__t78_group_24', cc8_ordinal1)).
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__t78_group_24', d5_struct_0)).
fof(spc2_numerals, axiom, (v2_xxreal_0(np__2)&m1_subset_1(np__2,k4_ordinal1)), file('group_24/group_24__t78_group_24', spc2_numerals)).
fof(d2_tarski, axiom, ![X1, X2, X3]:(X3=k2_tarski(X1,X2)<=>![X4]:(r2_hidden(X4,X3)<=>(X4=X1|X4=X2))), file('group_24/group_24__t78_group_24', d2_tarski)).
fof(t78_group_24, conjecture, ![X1]:(r1_struct_0(k4_gr_cy_1(np__2),X1)<=>(X1=k5_numbers|X1=np__1)), file('group_24/group_24__t78_group_24', t78_group_24)).
fof(t50_card_1, axiom, np__2=k2_tarski(k5_ordinal1,np__1), file('group_24/group_24__t78_group_24', t50_card_1)).
fof(redefinition_k5_numbers, axiom, k5_numbers=k5_ordinal1, file('group_24/group_24__t78_group_24', redefinition_k5_numbers)).
fof(cc4_nat_1, axiom, ![X1]:((v7_ordinal1(X1)&v8_ordinal1(X1))=>(v7_ordinal1(X1)&~(v2_xxreal_0(X1)))), file('group_24/group_24__t78_group_24', cc4_nat_1)).
fof(c_0_13, 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_14, plain, ![X1]:((v7_ordinal1(X1)&~v8_ordinal1(X1))=>u1_struct_0(k4_gr_cy_1(X1))=k5_card_1(X1)), inference(fof_simplification,[status(thm)],[t72_group_24])).
fof(c_0_15, plain, ![X35]:(~l3_algstr_0(X35)|l1_struct_0(X35)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l3_algstr_0])])).
fof(c_0_16, plain, ![X34]:(((~v2_struct_0(k4_gr_cy_1(X34))|(~v7_ordinal1(X34)|v8_ordinal1(X34)))&(v15_algstr_0(k4_gr_cy_1(X34))|(~v7_ordinal1(X34)|v8_ordinal1(X34))))&(l3_algstr_0(k4_gr_cy_1(X34))|(~v7_ordinal1(X34)|v8_ordinal1(X34)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])])).
fof(c_0_17, plain, ![X36]:(~v7_ordinal1(X36)|k5_card_1(X36)=k6_ordinal1(X36)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k5_card_1])])).
fof(c_0_18, plain, ![X22]:k6_ordinal1(X22)=X22, inference(variable_rename,[status(thm)],[d17_ordinal1])).
fof(c_0_19, plain, ![X21]:(~m1_subset_1(X21,k4_ordinal1)|v7_ordinal1(X21)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc8_ordinal1])])).
fof(c_0_20, plain, ![X32, X33]:((~r1_struct_0(X32,X33)|r2_hidden(X33,u1_struct_0(X32))|~l1_struct_0(X32))&(~r2_hidden(X33,u1_struct_0(X32))|r1_struct_0(X32,X33)|~l1_struct_0(X32))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d5_struct_0])])])])).
fof(c_0_21, plain, ![X37]:(~v7_ordinal1(X37)|v8_ordinal1(X37)|u1_struct_0(k4_gr_cy_1(X37))=k5_card_1(X37)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])).
cnf(c_0_22, plain, (l1_struct_0(X1)|~l3_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_15])).
cnf(c_0_23, plain, (l3_algstr_0(k4_gr_cy_1(X1))|v8_ordinal1(X1)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_16])).
cnf(c_0_24, plain, (k5_card_1(X1)=k6_ordinal1(X1)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_17])).
cnf(c_0_25, plain, (k6_ordinal1(X1)=X1), inference(split_conjunct,[status(thm)],[c_0_18])).
cnf(c_0_26, plain, (v7_ordinal1(X1)|~m1_subset_1(X1,k4_ordinal1)), inference(split_conjunct,[status(thm)],[c_0_19])).
cnf(c_0_27, plain, (m1_subset_1(np__2,k4_ordinal1)), inference(split_conjunct,[status(thm)],[spc2_numerals])).
fof(c_0_28, plain, ![X23, X24, X25, X26, X27, X28, X29, X30]:(((~r2_hidden(X26,X25)|(X26=X23|X26=X24)|X25!=k2_tarski(X23,X24))&((X27!=X23|r2_hidden(X27,X25)|X25!=k2_tarski(X23,X24))&(X27!=X24|r2_hidden(X27,X25)|X25!=k2_tarski(X23,X24))))&(((esk2_3(X28,X29,X30)!=X28|~r2_hidden(esk2_3(X28,X29,X30),X30)|X30=k2_tarski(X28,X29))&(esk2_3(X28,X29,X30)!=X29|~r2_hidden(esk2_3(X28,X29,X30),X30)|X30=k2_tarski(X28,X29)))&(r2_hidden(esk2_3(X28,X29,X30),X30)|(esk2_3(X28,X29,X30)=X28|esk2_3(X28,X29,X30)=X29)|X30=k2_tarski(X28,X29)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[d2_tarski])])])])])])).
cnf(c_0_29, plain, (r2_hidden(X2,u1_struct_0(X1))|~r1_struct_0(X1,X2)|~l1_struct_0(X1)), inference(split_conjunct,[status(thm)],[c_0_20])).
cnf(c_0_30, plain, (v8_ordinal1(X1)|u1_struct_0(k4_gr_cy_1(X1))=k5_card_1(X1)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_21])).
cnf(c_0_31, plain, (l1_struct_0(k4_gr_cy_1(X1))|v8_ordinal1(X1)|~v7_ordinal1(X1)), inference(spm,[status(thm)],[c_0_22, c_0_23])).
cnf(c_0_32, plain, (k5_card_1(X1)=X1|~v7_ordinal1(X1)), inference(rw,[status(thm)],[c_0_24, c_0_25])).
cnf(c_0_33, plain, (v7_ordinal1(np__2)), inference(spm,[status(thm)],[c_0_26, c_0_27])).
fof(c_0_34, negated_conjecture, ~(![X1]:(r1_struct_0(k4_gr_cy_1(np__2),X1)<=>(X1=k5_numbers|X1=np__1))), inference(assume_negation,[status(cth)],[t78_group_24])).
cnf(c_0_35, plain, (X1=X3|X1=X4|~r2_hidden(X1,X2)|X2!=k2_tarski(X3,X4)), inference(split_conjunct,[status(thm)],[c_0_28])).
cnf(c_0_36, plain, (np__2=k2_tarski(k5_ordinal1,np__1)), inference(split_conjunct,[status(thm)],[t50_card_1])).
cnf(c_0_37, plain, (k5_numbers=k5_ordinal1), inference(split_conjunct,[status(thm)],[redefinition_k5_numbers])).
fof(c_0_38, plain, ![X1]:((v7_ordinal1(X1)&v8_ordinal1(X1))=>(v7_ordinal1(X1)&~v2_xxreal_0(X1))), inference(fof_simplification,[status(thm)],[cc4_nat_1])).
cnf(c_0_39, plain, (r2_hidden(X1,k5_card_1(X2))|v8_ordinal1(X2)|~v7_ordinal1(X2)|~r1_struct_0(k4_gr_cy_1(X2),X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_29, c_0_30]), c_0_31])).
cnf(c_0_40, plain, (k5_card_1(np__2)=np__2), inference(spm,[status(thm)],[c_0_32, c_0_33])).
fof(c_0_41, negated_conjecture, (((esk1_0!=k5_numbers|~r1_struct_0(k4_gr_cy_1(np__2),esk1_0))&(esk1_0!=np__1|~r1_struct_0(k4_gr_cy_1(np__2),esk1_0)))&(r1_struct_0(k4_gr_cy_1(np__2),esk1_0)|(esk1_0=k5_numbers|esk1_0=np__1))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_34])])])])).
cnf(c_0_42, plain, (X1=X2|X1=X3|~r2_hidden(X1,k2_tarski(X3,X2))), inference(er,[status(thm)],[c_0_35])).
cnf(c_0_43, plain, (k2_tarski(k5_numbers,np__1)=np__2), inference(rw,[status(thm)],[c_0_36, c_0_37])).
cnf(c_0_44, plain, (r1_struct_0(X2,X1)|~r2_hidden(X1,u1_struct_0(X2))|~l1_struct_0(X2)), inference(split_conjunct,[status(thm)],[c_0_20])).
cnf(c_0_45, plain, (r2_hidden(X1,X3)|X1!=X2|X3!=k2_tarski(X4,X2)), inference(split_conjunct,[status(thm)],[c_0_28])).
fof(c_0_46, plain, ![X20]:((v7_ordinal1(X20)|(~v7_ordinal1(X20)|~v8_ordinal1(X20)))&(~v2_xxreal_0(X20)|(~v7_ordinal1(X20)|~v8_ordinal1(X20)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_38])])])).
cnf(c_0_47, plain, (r2_hidden(X1,np__2)|v8_ordinal1(np__2)|~r1_struct_0(k4_gr_cy_1(np__2),X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39, c_0_40]), c_0_33])])).
cnf(c_0_48, negated_conjecture, (r1_struct_0(k4_gr_cy_1(np__2),esk1_0)|esk1_0=k5_numbers|esk1_0=np__1), inference(split_conjunct,[status(thm)],[c_0_41])).
cnf(c_0_49, plain, (X1=k5_numbers|X1=np__1|~r2_hidden(X1,np__2)), inference(spm,[status(thm)],[c_0_42, c_0_43])).
cnf(c_0_50, plain, (v8_ordinal1(X1)|r1_struct_0(k4_gr_cy_1(X1),X2)|~r2_hidden(X2,k5_card_1(X1))|~v7_ordinal1(X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_44, c_0_30]), c_0_31])).
cnf(c_0_51, plain, (r2_hidden(X1,k2_tarski(X2,X1))), inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_45])])).
cnf(c_0_52, plain, (~v2_xxreal_0(X1)|~v7_ordinal1(X1)|~v8_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_46])).
cnf(c_0_53, negated_conjecture, (k5_numbers=esk1_0|np__1=esk1_0|v8_ordinal1(np__2)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_47, c_0_48]), c_0_49])).
cnf(c_0_54, plain, (v2_xxreal_0(np__2)), inference(split_conjunct,[status(thm)],[spc2_numerals])).
cnf(c_0_55, negated_conjecture, (esk1_0!=np__1|~r1_struct_0(k4_gr_cy_1(np__2),esk1_0)), inference(split_conjunct,[status(thm)],[c_0_41])).
cnf(c_0_56, plain, (v8_ordinal1(np__2)|r1_struct_0(k4_gr_cy_1(np__2),X1)|~r2_hidden(X1,np__2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50, c_0_40]), c_0_33])])).
cnf(c_0_57, plain, (r2_hidden(np__1,np__2)), inference(spm,[status(thm)],[c_0_51, c_0_43])).
cnf(c_0_58, negated_conjecture, (np__1=esk1_0|k5_numbers=esk1_0), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52, c_0_53]), c_0_54]), c_0_33])])).
cnf(c_0_59, plain, (r2_hidden(X1,X3)|X1!=X2|X3!=k2_tarski(X2,X4)), inference(split_conjunct,[status(thm)],[c_0_28])).
cnf(c_0_60, negated_conjecture, (v8_ordinal1(np__2)|np__1!=esk1_0|~r2_hidden(esk1_0,np__2)), inference(spm,[status(thm)],[c_0_55, c_0_56])).
cnf(c_0_61, negated_conjecture, (k5_numbers=esk1_0|r2_hidden(esk1_0,np__2)), inference(spm,[status(thm)],[c_0_57, c_0_58])).
cnf(c_0_62, plain, (r2_hidden(X1,k2_tarski(X1,X2))), inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_59])])).
cnf(c_0_63, negated_conjecture, (k5_numbers=esk1_0|v8_ordinal1(np__2)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_60, c_0_61]), c_0_58])).
cnf(c_0_64, negated_conjecture, (esk1_0!=k5_numbers|~r1_struct_0(k4_gr_cy_1(np__2),esk1_0)), inference(split_conjunct,[status(thm)],[c_0_41])).
cnf(c_0_65, plain, (r2_hidden(k5_numbers,np__2)), inference(spm,[status(thm)],[c_0_62, c_0_43])).
cnf(c_0_66, negated_conjecture, (k5_numbers=esk1_0), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52, c_0_63]), c_0_54]), c_0_33])])).
cnf(c_0_67, negated_conjecture, (v8_ordinal1(np__2)|k5_numbers!=esk1_0|~r2_hidden(esk1_0,np__2)), inference(spm,[status(thm)],[c_0_64, c_0_56])).
cnf(c_0_68, plain, (r2_hidden(esk1_0,np__2)), inference(rw,[status(thm)],[c_0_65, c_0_66])).
cnf(c_0_69, negated_conjecture, (v8_ordinal1(np__2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_67, c_0_66])]), c_0_68])])).
cnf(c_0_70, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52, c_0_69]), c_0_54]), c_0_33])]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 71
# Proof object clause steps            : 44
# Proof object formula steps           : 27
# Proof object conjectures             : 15
# Proof object clause conjectures      : 12
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 19
# Proof object initial formulas used   : 13
# Proof object generating inferences   : 18
# Proof object simplifying inferences  : 29
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 13
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 25
# Removed in clause preprocessing      : 2
# Initial clauses in saturation        : 23
# Processed clauses                    : 50
# ...of these trivial                  : 0
# ...subsumed                          : 1
# ...remaining for further processing  : 49
# Other redundant clauses eliminated   : 5
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 3
# Backward-rewritten                   : 12
# Generated clauses                    : 43
# ...of the previous two non-trivial   : 41
# Contextual simplify-reflections      : 4
# Paramodulations                      : 40
# Factorizations                       : 0
# NegExts                              : 0
# Equation resolutions                 : 5
# 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  : 31
#    Positive orientable unit clauses  : 11
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 1
#    Non-unit-clauses                  : 19
# Current number of unprocessed clauses: 14
# ...number of literals in the above   : 55
# Current number of archived formulas  : 0
# Current number of archived clauses   : 16
# Clause-clause subsumption calls (NU) : 125
# Rec. Clause-clause subsumption calls : 64
# Non-unit clause-clause subsumptions  : 7
# Unit Clause-clause subsumption calls : 10
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 4
# BW rewrite match successes           : 3
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 1954

# -------------------------------------------------
# User time                : 0.025 s
# System time              : 0.000 s
# Total time               : 0.025 s
# Maximum resident set size: 2856 pages
