# No SInE strategy applied
# Trying AutoSched0 for 161 seconds
# AutoSched0-Mode selected heuristic U_____207b_00_B11_00_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN
# and selection function SelectComplexExceptUniqMaxHorn.
#
# Preprocessing time       : 0.021 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(fc9_group_7, axiom, ![X1]:((~(v2_struct_0(X1))&l3_algstr_0(X1))=>(v1_partfun1(k5_finseq_1(X1),k1_tarski(np__1))&v1_group_7(k5_finseq_1(X1)))), file('gr_free0/gr_free0__t11_gr_free0', fc9_group_7)).
fof(d5_finseq_1, axiom, ![X1]:k5_finseq_1(X1)=k1_tarski(k4_tarski(np__1,X1)), file('gr_free0/gr_free0__t11_gr_free0', d5_finseq_1)).
fof(redefinition_k9_finseq_1, axiom, ![X1]:k9_finseq_1(X1)=k5_finseq_1(X1), file('gr_free0/gr_free0__t11_gr_free0', redefinition_k9_finseq_1)).
fof(t11_gr_free0, conjecture, ![X1]:((~(v2_struct_0(X1))&l3_algstr_0(X1))=>k1_gr_free0(k9_finseq_1(X1))=k2_zfmisc_1(k1_tarski(np__1),u1_struct_0(X1))), file('gr_free0/gr_free0__t11_gr_free0', t11_gr_free0)).
fof(t4_card_3, axiom, ![X1, X2]:k2_card_3(k17_funcop_1(X1,X2))=k17_funcop_1(X1,k2_zfmisc_1(X2,k1_tarski(X1))), file('gr_free0/gr_free0__t11_gr_free0', t4_card_3)).
fof(t82_funct_4, axiom, ![X1, X2]:k17_funcop_1(X1,X2)=k1_tarski(k4_tarski(X1,X2)), file('gr_free0/gr_free0__t11_gr_free0', t82_funct_4)).
fof(t17_pralg_1, axiom, ![X1]:(l1_struct_0(X1)=>k13_pralg_1(k9_finseq_1(X1))=k9_finseq_1(u1_struct_0(X1))), file('gr_free0/gr_free0__t11_gr_free0', t17_pralg_1)).
fof(d1_gr_free0, axiom, ![X1]:(((v1_relat_1(X1)&v1_funct_1(X1))&v1_group_7(X1))=>k1_gr_free0(X1)=k5_waybel26(k13_pralg_1(X1))), file('gr_free0/gr_free0__t11_gr_free0', d1_gr_free0)).
fof(fc1_funct_1, axiom, ![X1, X2]:v1_funct_1(k1_tarski(k4_tarski(X1,X2))), file('gr_free0/gr_free0__t11_gr_free0', fc1_funct_1)).
fof(fc5_relat_1, axiom, ![X1, X2]:v1_relat_1(k1_tarski(k4_tarski(X1,X2))), file('gr_free0/gr_free0__t11_gr_free0', fc5_relat_1)).
fof(t9_relat_1, axiom, ![X1, X2]:(k9_xtuple_0(k1_tarski(k4_tarski(X1,X2)))=k1_tarski(X1)&k10_xtuple_0(k1_tarski(k4_tarski(X1,X2)))=k1_tarski(X2)), file('gr_free0/gr_free0__t11_gr_free0', t9_relat_1)).
fof(d4_waybel26, axiom, ![X1]:((v1_relat_1(X1)&v1_funct_1(X1))=>k5_waybel26(X1)=k2_relat_1(k3_card_3(k2_card_3(X1)))), file('gr_free0/gr_free0__t11_gr_free0', d4_waybel26)).
fof(t25_zfmisc_1, axiom, ![X1]:k3_tarski(k1_tarski(X1))=X1, file('gr_free0/gr_free0__t11_gr_free0', t25_zfmisc_1)).
fof(d4_card_3, axiom, ![X1]:((v1_relat_1(X1)&v1_funct_1(X1))=>k3_card_3(X1)=k3_tarski(k10_xtuple_0(X1))), file('gr_free0/gr_free0__t11_gr_free0', d4_card_3)).
fof(t5_sysrel, axiom, ![X1, X2]:k2_relat_1(k2_zfmisc_1(X1,X2))=k2_zfmisc_1(X2,X1), file('gr_free0/gr_free0__t11_gr_free0', t5_sysrel)).
fof(dt_l3_algstr_0, axiom, ![X1]:(l3_algstr_0(X1)=>l1_struct_0(X1)), file('gr_free0/gr_free0__t11_gr_free0', dt_l3_algstr_0)).
fof(c_0_16, plain, ![X1]:((~v2_struct_0(X1)&l3_algstr_0(X1))=>(v1_partfun1(k5_finseq_1(X1),k1_tarski(np__1))&v1_group_7(k5_finseq_1(X1)))), inference(fof_simplification,[status(thm)],[fc9_group_7])).
fof(c_0_17, plain, ![X29]:k5_finseq_1(X29)=k1_tarski(k4_tarski(np__1,X29)), inference(variable_rename,[status(thm)],[d5_finseq_1])).
fof(c_0_18, plain, ![X36]:k9_finseq_1(X36)=k5_finseq_1(X36), inference(variable_rename,[status(thm)],[redefinition_k9_finseq_1])).
fof(c_0_19, negated_conjecture, ~(![X1]:((~v2_struct_0(X1)&l3_algstr_0(X1))=>k1_gr_free0(k9_finseq_1(X1))=k2_zfmisc_1(k1_tarski(np__1),u1_struct_0(X1)))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t11_gr_free0])])).
fof(c_0_20, plain, ![X35]:((v1_partfun1(k5_finseq_1(X35),k1_tarski(np__1))|(v2_struct_0(X35)|~l3_algstr_0(X35)))&(v1_group_7(k5_finseq_1(X35))|(v2_struct_0(X35)|~l3_algstr_0(X35)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_16])])])).
cnf(c_0_21, plain, (k5_finseq_1(X1)=k1_tarski(k4_tarski(np__1,X1))), inference(split_conjunct,[status(thm)],[c_0_17])).
cnf(c_0_22, plain, (k9_finseq_1(X1)=k5_finseq_1(X1)), inference(split_conjunct,[status(thm)],[c_0_18])).
fof(c_0_23, plain, ![X39, X40]:k2_card_3(k17_funcop_1(X39,X40))=k17_funcop_1(X39,k2_zfmisc_1(X40,k1_tarski(X39))), inference(variable_rename,[status(thm)],[t4_card_3])).
fof(c_0_24, plain, ![X43, X44]:k17_funcop_1(X43,X44)=k1_tarski(k4_tarski(X43,X44)), inference(variable_rename,[status(thm)],[t82_funct_4])).
fof(c_0_25, plain, ![X37]:(~l1_struct_0(X37)|k13_pralg_1(k9_finseq_1(X37))=k9_finseq_1(u1_struct_0(X37))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t17_pralg_1])])).
fof(c_0_26, negated_conjecture, ((~v2_struct_0(esk1_0)&l3_algstr_0(esk1_0))&k1_gr_free0(k9_finseq_1(esk1_0))!=k2_zfmisc_1(k1_tarski(np__1),u1_struct_0(esk1_0))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_19])])])).
cnf(c_0_27, plain, (v1_group_7(k5_finseq_1(X1))|v2_struct_0(X1)|~l3_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_20])).
cnf(c_0_28, plain, (k9_finseq_1(X1)=k1_tarski(k4_tarski(np__1,X1))), inference(rw,[status(thm)],[c_0_21, c_0_22])).
cnf(c_0_29, plain, (k2_card_3(k17_funcop_1(X1,X2))=k17_funcop_1(X1,k2_zfmisc_1(X2,k1_tarski(X1)))), inference(split_conjunct,[status(thm)],[c_0_23])).
cnf(c_0_30, plain, (k17_funcop_1(X1,X2)=k1_tarski(k4_tarski(X1,X2))), inference(split_conjunct,[status(thm)],[c_0_24])).
cnf(c_0_31, plain, (k13_pralg_1(k9_finseq_1(X1))=k9_finseq_1(u1_struct_0(X1))|~l1_struct_0(X1)), inference(split_conjunct,[status(thm)],[c_0_25])).
cnf(c_0_32, negated_conjecture, (k1_gr_free0(k9_finseq_1(esk1_0))!=k2_zfmisc_1(k1_tarski(np__1),u1_struct_0(esk1_0))), inference(split_conjunct,[status(thm)],[c_0_26])).
fof(c_0_33, plain, ![X26]:(~v1_relat_1(X26)|~v1_funct_1(X26)|~v1_group_7(X26)|k1_gr_free0(X26)=k5_waybel26(k13_pralg_1(X26))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d1_gr_free0])])).
cnf(c_0_34, plain, (v2_struct_0(X1)|v1_group_7(k1_tarski(k4_tarski(np__1,X1)))|~l3_algstr_0(X1)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_27, c_0_22]), c_0_28])).
cnf(c_0_35, negated_conjecture, (l3_algstr_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_26])).
cnf(c_0_36, negated_conjecture, (~v2_struct_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_26])).
fof(c_0_37, plain, ![X31, X32]:v1_funct_1(k1_tarski(k4_tarski(X31,X32))), inference(variable_rename,[status(thm)],[fc1_funct_1])).
fof(c_0_38, plain, ![X33, X34]:v1_relat_1(k1_tarski(k4_tarski(X33,X34))), inference(variable_rename,[status(thm)],[fc5_relat_1])).
fof(c_0_39, plain, ![X45, X46]:(k9_xtuple_0(k1_tarski(k4_tarski(X45,X46)))=k1_tarski(X45)&k10_xtuple_0(k1_tarski(k4_tarski(X45,X46)))=k1_tarski(X46)), inference(variable_rename,[status(thm)],[t9_relat_1])).
cnf(c_0_40, plain, (k2_card_3(k1_tarski(k4_tarski(X1,X2)))=k1_tarski(k4_tarski(X1,k2_zfmisc_1(X2,k1_tarski(X1))))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_29, c_0_30]), c_0_30])).
cnf(c_0_41, plain, (k13_pralg_1(k1_tarski(k4_tarski(np__1,X1)))=k1_tarski(k4_tarski(np__1,u1_struct_0(X1)))|~l1_struct_0(X1)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_31, c_0_28]), c_0_28])).
cnf(c_0_42, negated_conjecture, (k1_gr_free0(k1_tarski(k4_tarski(np__1,esk1_0)))!=k2_zfmisc_1(k1_tarski(np__1),u1_struct_0(esk1_0))), inference(rw,[status(thm)],[c_0_32, c_0_28])).
cnf(c_0_43, plain, (k1_gr_free0(X1)=k5_waybel26(k13_pralg_1(X1))|~v1_relat_1(X1)|~v1_funct_1(X1)|~v1_group_7(X1)), inference(split_conjunct,[status(thm)],[c_0_33])).
cnf(c_0_44, negated_conjecture, (v1_group_7(k1_tarski(k4_tarski(np__1,esk1_0)))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_34, c_0_35]), c_0_36])).
cnf(c_0_45, plain, (v1_funct_1(k1_tarski(k4_tarski(X1,X2)))), inference(split_conjunct,[status(thm)],[c_0_37])).
cnf(c_0_46, plain, (v1_relat_1(k1_tarski(k4_tarski(X1,X2)))), inference(split_conjunct,[status(thm)],[c_0_38])).
fof(c_0_47, plain, ![X28]:(~v1_relat_1(X28)|~v1_funct_1(X28)|k5_waybel26(X28)=k2_relat_1(k3_card_3(k2_card_3(X28)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d4_waybel26])])).
fof(c_0_48, plain, ![X38]:k3_tarski(k1_tarski(X38))=X38, inference(variable_rename,[status(thm)],[t25_zfmisc_1])).
cnf(c_0_49, plain, (k10_xtuple_0(k1_tarski(k4_tarski(X1,X2)))=k1_tarski(X2)), inference(split_conjunct,[status(thm)],[c_0_39])).
cnf(c_0_50, plain, (k1_tarski(k4_tarski(np__1,k2_zfmisc_1(u1_struct_0(X1),k1_tarski(np__1))))=k2_card_3(k13_pralg_1(k1_tarski(k4_tarski(np__1,X1))))|~l1_struct_0(X1)), inference(spm,[status(thm)],[c_0_40, c_0_41])).
cnf(c_0_51, negated_conjecture, (k5_waybel26(k13_pralg_1(k1_tarski(k4_tarski(np__1,esk1_0))))!=k2_zfmisc_1(k1_tarski(np__1),u1_struct_0(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42, c_0_43]), c_0_44]), c_0_45]), c_0_46])])).
cnf(c_0_52, plain, (k5_waybel26(X1)=k2_relat_1(k3_card_3(k2_card_3(X1)))|~v1_relat_1(X1)|~v1_funct_1(X1)), inference(split_conjunct,[status(thm)],[c_0_47])).
fof(c_0_53, plain, ![X27]:(~v1_relat_1(X27)|~v1_funct_1(X27)|k3_card_3(X27)=k3_tarski(k10_xtuple_0(X27))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d4_card_3])])).
fof(c_0_54, plain, ![X41, X42]:k2_relat_1(k2_zfmisc_1(X41,X42))=k2_zfmisc_1(X42,X41), inference(variable_rename,[status(thm)],[t5_sysrel])).
cnf(c_0_55, plain, (k3_tarski(k1_tarski(X1))=X1), inference(split_conjunct,[status(thm)],[c_0_48])).
cnf(c_0_56, plain, (k1_tarski(k2_zfmisc_1(u1_struct_0(X1),k1_tarski(np__1)))=k10_xtuple_0(k2_card_3(k13_pralg_1(k1_tarski(k4_tarski(np__1,X1)))))|~l1_struct_0(X1)), inference(spm,[status(thm)],[c_0_49, c_0_50])).
cnf(c_0_57, negated_conjecture, (k2_relat_1(k3_card_3(k2_card_3(k13_pralg_1(k1_tarski(k4_tarski(np__1,esk1_0))))))!=k2_zfmisc_1(k1_tarski(np__1),u1_struct_0(esk1_0))|~v1_funct_1(k13_pralg_1(k1_tarski(k4_tarski(np__1,esk1_0))))|~v1_relat_1(k13_pralg_1(k1_tarski(k4_tarski(np__1,esk1_0))))), inference(spm,[status(thm)],[c_0_51, c_0_52])).
cnf(c_0_58, plain, (k3_card_3(X1)=k3_tarski(k10_xtuple_0(X1))|~v1_relat_1(X1)|~v1_funct_1(X1)), inference(split_conjunct,[status(thm)],[c_0_53])).
cnf(c_0_59, plain, (k2_relat_1(k2_zfmisc_1(X1,X2))=k2_zfmisc_1(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_54])).
cnf(c_0_60, plain, (k2_zfmisc_1(u1_struct_0(X1),k1_tarski(np__1))=k3_tarski(k10_xtuple_0(k2_card_3(k13_pralg_1(k1_tarski(k4_tarski(np__1,X1))))))|~l1_struct_0(X1)), inference(spm,[status(thm)],[c_0_55, c_0_56])).
cnf(c_0_61, negated_conjecture, (k2_zfmisc_1(k1_tarski(np__1),u1_struct_0(esk1_0))!=k2_relat_1(k3_tarski(k10_xtuple_0(k2_card_3(k13_pralg_1(k1_tarski(k4_tarski(np__1,esk1_0)))))))|~v1_funct_1(k2_card_3(k13_pralg_1(k1_tarski(k4_tarski(np__1,esk1_0)))))|~v1_funct_1(k13_pralg_1(k1_tarski(k4_tarski(np__1,esk1_0))))|~v1_relat_1(k2_card_3(k13_pralg_1(k1_tarski(k4_tarski(np__1,esk1_0)))))|~v1_relat_1(k13_pralg_1(k1_tarski(k4_tarski(np__1,esk1_0))))), inference(spm,[status(thm)],[c_0_57, c_0_58])).
cnf(c_0_62, plain, (k2_zfmisc_1(k1_tarski(np__1),u1_struct_0(X1))=k2_relat_1(k3_tarski(k10_xtuple_0(k2_card_3(k13_pralg_1(k1_tarski(k4_tarski(np__1,X1)))))))|~l1_struct_0(X1)), inference(spm,[status(thm)],[c_0_59, c_0_60])).
cnf(c_0_63, plain, (v1_relat_1(k13_pralg_1(k1_tarski(k4_tarski(np__1,X1))))|~l1_struct_0(X1)), inference(spm,[status(thm)],[c_0_46, c_0_41])).
cnf(c_0_64, plain, (v1_relat_1(k2_card_3(k13_pralg_1(k1_tarski(k4_tarski(np__1,X1)))))|~l1_struct_0(X1)), inference(spm,[status(thm)],[c_0_46, c_0_50])).
cnf(c_0_65, plain, (v1_funct_1(k13_pralg_1(k1_tarski(k4_tarski(np__1,X1))))|~l1_struct_0(X1)), inference(spm,[status(thm)],[c_0_45, c_0_41])).
cnf(c_0_66, plain, (v1_funct_1(k2_card_3(k13_pralg_1(k1_tarski(k4_tarski(np__1,X1)))))|~l1_struct_0(X1)), inference(spm,[status(thm)],[c_0_45, c_0_50])).
fof(c_0_67, plain, ![X30]:(~l3_algstr_0(X30)|l1_struct_0(X30)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l3_algstr_0])])).
cnf(c_0_68, negated_conjecture, (~l1_struct_0(esk1_0)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_61, c_0_62]), c_0_63]), c_0_64]), c_0_65]), c_0_66])).
cnf(c_0_69, plain, (l1_struct_0(X1)|~l3_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_67])).
cnf(c_0_70, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68, c_0_69]), c_0_35])]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 71
# Proof object clause steps            : 37
# Proof object formula steps           : 34
# Proof object conjectures             : 13
# Proof object clause conjectures      : 10
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 18
# Proof object initial formulas used   : 16
# Proof object generating inferences   : 14
# Proof object simplifying inferences  : 19
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 16
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 20
# Removed in clause preprocessing      : 3
# Initial clauses in saturation        : 17
# Processed clauses                    : 152
# ...of these trivial                  : 0
# ...subsumed                          : 27
# ...remaining for further processing  : 125
# Other redundant clauses eliminated   : 0
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 0
# Backward-rewritten                   : 0
# Generated clauses                    : 492
# ...of the previous two non-trivial   : 491
# Contextual simplify-reflections      : 10
# Paramodulations                      : 492
# 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  : 108
#    Positive orientable unit clauses  : 10
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 4
#    Non-unit-clauses                  : 94
# Current number of unprocessed clauses: 373
# ...number of literals in the above   : 1237
# Current number of archived formulas  : 0
# Current number of archived clauses   : 20
# Clause-clause subsumption calls (NU) : 2364
# Rec. Clause-clause subsumption calls : 2155
# Non-unit clause-clause subsumptions  : 37
# Unit Clause-clause subsumption calls : 8
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 2
# BW rewrite match successes           : 0
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 13430

# -------------------------------------------------
# User time                : 0.027 s
# System time              : 0.004 s
# Total time               : 0.031 s
# Maximum resident set size: 3516 pages
