# 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       : 0.018 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(t12_gr_free0, conjecture, ![X1]:((~(v2_struct_0(X1))&l3_algstr_0(X1))=>![X2]:((~(v2_struct_0(X2))&l3_algstr_0(X2))=>k1_gr_free0(k10_finseq_1(X1,X2))=k2_xboole_0(k2_zfmisc_1(k1_tarski(np__1),u1_struct_0(X1)),k2_zfmisc_1(k1_tarski(np__2),u1_struct_0(X2))))), file('gr_free0/gr_free0__t12_gr_free0', t12_gr_free0)).
fof(t75_zfmisc_1, axiom, ![X1, X2]:k3_tarski(k2_tarski(X1,X2))=k2_xboole_0(X1,X2), file('gr_free0/gr_free0__t12_gr_free0', t75_zfmisc_1)).
fof(t127_finseq_2, axiom, ![X1, X2]:k10_xtuple_0(k10_finseq_1(X1,X2))=k2_tarski(X1,X2), file('gr_free0/gr_free0__t12_gr_free0', t127_finseq_2)).
fof(fc14_group_7, axiom, ![X1, X2]:((((~(v2_struct_0(X1))&l3_algstr_0(X1))&~(v2_struct_0(X2)))&l3_algstr_0(X2))=>(v1_partfun1(k10_finseq_1(X1,X2),k2_tarski(np__1,np__2))&v1_group_7(k10_finseq_1(X1,X2)))), file('gr_free0/gr_free0__t12_gr_free0', fc14_group_7)).
fof(commutativity_k2_tarski, axiom, ![X1, X2]:k2_tarski(X1,X2)=k2_tarski(X2,X1), file('gr_free0/gr_free0__t12_gr_free0', commutativity_k2_tarski)).
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__t12_gr_free0', d1_gr_free0)).
fof(fc8_finseq_1, axiom, ![X1, X2]:(v1_relat_1(k10_finseq_1(X1,X2))&v1_funct_1(k10_finseq_1(X1,X2))), file('gr_free0/gr_free0__t12_gr_free0', fc8_finseq_1)).
fof(t18_pralg_1, axiom, ![X1]:(l1_struct_0(X1)=>![X2]:(l1_struct_0(X2)=>k13_pralg_1(k10_finseq_1(X1,X2))=k10_finseq_1(u1_struct_0(X1),u1_struct_0(X2)))), file('gr_free0/gr_free0__t12_gr_free0', t18_pralg_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__t12_gr_free0', d4_waybel26)).
fof(t161_finseq_3, axiom, ![X1, X2]:k2_card_3(k10_finseq_1(X1,X2))=k10_finseq_1(k2_zfmisc_1(X1,k1_tarski(np__1)),k2_zfmisc_1(X2,k1_tarski(np__2))), file('gr_free0/gr_free0__t12_gr_free0', t161_finseq_3)).
fof(t23_relat_1, axiom, ![X1]:(v1_relat_1(X1)=>![X2]:(v1_relat_1(X2)=>k2_relat_1(k2_xboole_0(X1,X2))=k2_xboole_0(k2_relat_1(X1),k2_relat_1(X2)))), file('gr_free0/gr_free0__t12_gr_free0', t23_relat_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__t12_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__t12_gr_free0', t5_sysrel)).
fof(fc6_relat_1, axiom, ![X1, X2]:v1_relat_1(k2_zfmisc_1(X1,X2)), file('gr_free0/gr_free0__t12_gr_free0', fc6_relat_1)).
fof(dt_l3_algstr_0, axiom, ![X1]:(l3_algstr_0(X1)=>l1_struct_0(X1)), file('gr_free0/gr_free0__t12_gr_free0', dt_l3_algstr_0)).
fof(c_0_15, negated_conjecture, ~(![X1]:((~v2_struct_0(X1)&l3_algstr_0(X1))=>![X2]:((~v2_struct_0(X2)&l3_algstr_0(X2))=>k1_gr_free0(k10_finseq_1(X1,X2))=k2_xboole_0(k2_zfmisc_1(k1_tarski(np__1),u1_struct_0(X1)),k2_zfmisc_1(k1_tarski(np__2),u1_struct_0(X2)))))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t12_gr_free0])])).
fof(c_0_16, plain, ![X53, X54]:k3_tarski(k2_tarski(X53,X54))=k2_xboole_0(X53,X54), inference(variable_rename,[status(thm)],[t75_zfmisc_1])).
fof(c_0_17, plain, ![X43, X44]:k10_xtuple_0(k10_finseq_1(X43,X44))=k2_tarski(X43,X44), inference(variable_rename,[status(thm)],[t127_finseq_2])).
fof(c_0_18, plain, ![X1, X2]:((((~v2_struct_0(X1)&l3_algstr_0(X1))&~v2_struct_0(X2))&l3_algstr_0(X2))=>(v1_partfun1(k10_finseq_1(X1,X2),k2_tarski(np__1,np__2))&v1_group_7(k10_finseq_1(X1,X2)))), inference(fof_simplification,[status(thm)],[fc14_group_7])).
fof(c_0_19, negated_conjecture, ((~v2_struct_0(esk1_0)&l3_algstr_0(esk1_0))&((~v2_struct_0(esk2_0)&l3_algstr_0(esk2_0))&k1_gr_free0(k10_finseq_1(esk1_0,esk2_0))!=k2_xboole_0(k2_zfmisc_1(k1_tarski(np__1),u1_struct_0(esk1_0)),k2_zfmisc_1(k1_tarski(np__2),u1_struct_0(esk2_0))))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_15])])])).
cnf(c_0_20, plain, (k3_tarski(k2_tarski(X1,X2))=k2_xboole_0(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_16])).
cnf(c_0_21, plain, (k10_xtuple_0(k10_finseq_1(X1,X2))=k2_tarski(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_17])).
fof(c_0_22, plain, ![X31, X32]:k2_tarski(X31,X32)=k2_tarski(X32,X31), inference(variable_rename,[status(thm)],[commutativity_k2_tarski])).
fof(c_0_23, plain, ![X37, X38]:((v1_partfun1(k10_finseq_1(X37,X38),k2_tarski(np__1,np__2))|(v2_struct_0(X37)|~l3_algstr_0(X37)|v2_struct_0(X38)|~l3_algstr_0(X38)))&(v1_group_7(k10_finseq_1(X37,X38))|(v2_struct_0(X37)|~l3_algstr_0(X37)|v2_struct_0(X38)|~l3_algstr_0(X38)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_18])])])).
cnf(c_0_24, negated_conjecture, (k1_gr_free0(k10_finseq_1(esk1_0,esk2_0))!=k2_xboole_0(k2_zfmisc_1(k1_tarski(np__1),u1_struct_0(esk1_0)),k2_zfmisc_1(k1_tarski(np__2),u1_struct_0(esk2_0)))), inference(split_conjunct,[status(thm)],[c_0_19])).
cnf(c_0_25, plain, (k3_tarski(k10_xtuple_0(k10_finseq_1(X1,X2)))=k2_xboole_0(X1,X2)), inference(rw,[status(thm)],[c_0_20, c_0_21])).
cnf(c_0_26, plain, (k2_tarski(X1,X2)=k2_tarski(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_22])).
cnf(c_0_27, plain, (v1_group_7(k10_finseq_1(X1,X2))|v2_struct_0(X1)|v2_struct_0(X2)|~l3_algstr_0(X1)|~l3_algstr_0(X2)), inference(split_conjunct,[status(thm)],[c_0_23])).
cnf(c_0_28, negated_conjecture, (l3_algstr_0(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_19])).
cnf(c_0_29, negated_conjecture, (~v2_struct_0(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_19])).
cnf(c_0_30, negated_conjecture, (k1_gr_free0(k10_finseq_1(esk1_0,esk2_0))!=k3_tarski(k10_xtuple_0(k10_finseq_1(k2_zfmisc_1(k1_tarski(np__1),u1_struct_0(esk1_0)),k2_zfmisc_1(k1_tarski(np__2),u1_struct_0(esk2_0)))))), inference(rw,[status(thm)],[c_0_24, c_0_25])).
cnf(c_0_31, plain, (k10_xtuple_0(k10_finseq_1(X1,X2))=k10_xtuple_0(k10_finseq_1(X2,X1))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_26, c_0_21]), c_0_21])).
fof(c_0_32, plain, ![X33]:(~v1_relat_1(X33)|~v1_funct_1(X33)|~v1_group_7(X33)|k1_gr_free0(X33)=k5_waybel26(k13_pralg_1(X33))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d1_gr_free0])])).
cnf(c_0_33, negated_conjecture, (v1_group_7(k10_finseq_1(X1,esk2_0))|v2_struct_0(X1)|~l3_algstr_0(X1)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_27, c_0_28]), c_0_29])).
cnf(c_0_34, negated_conjecture, (l3_algstr_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_19])).
cnf(c_0_35, negated_conjecture, (~v2_struct_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_19])).
fof(c_0_36, plain, ![X41, X42]:(v1_relat_1(k10_finseq_1(X41,X42))&v1_funct_1(k10_finseq_1(X41,X42))), inference(variable_rename,[status(thm)],[fc8_finseq_1])).
cnf(c_0_37, negated_conjecture, (k1_gr_free0(k10_finseq_1(esk1_0,esk2_0))!=k3_tarski(k10_xtuple_0(k10_finseq_1(k2_zfmisc_1(k1_tarski(np__2),u1_struct_0(esk2_0)),k2_zfmisc_1(k1_tarski(np__1),u1_struct_0(esk1_0)))))), inference(rw,[status(thm)],[c_0_30, c_0_31])).
cnf(c_0_38, 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_32])).
cnf(c_0_39, negated_conjecture, (v1_group_7(k10_finseq_1(esk1_0,esk2_0))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_33, c_0_34]), c_0_35])).
cnf(c_0_40, plain, (v1_funct_1(k10_finseq_1(X1,X2))), inference(split_conjunct,[status(thm)],[c_0_36])).
cnf(c_0_41, plain, (v1_relat_1(k10_finseq_1(X1,X2))), inference(split_conjunct,[status(thm)],[c_0_36])).
fof(c_0_42, plain, ![X47, X48]:(~l1_struct_0(X47)|(~l1_struct_0(X48)|k13_pralg_1(k10_finseq_1(X47,X48))=k10_finseq_1(u1_struct_0(X47),u1_struct_0(X48)))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t18_pralg_1])])])).
cnf(c_0_43, negated_conjecture, (k5_waybel26(k13_pralg_1(k10_finseq_1(esk1_0,esk2_0)))!=k3_tarski(k10_xtuple_0(k10_finseq_1(k2_zfmisc_1(k1_tarski(np__2),u1_struct_0(esk2_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_37, c_0_38]), c_0_39]), c_0_40]), c_0_41])])).
cnf(c_0_44, plain, (k13_pralg_1(k10_finseq_1(X1,X2))=k10_finseq_1(u1_struct_0(X1),u1_struct_0(X2))|~l1_struct_0(X1)|~l1_struct_0(X2)), inference(split_conjunct,[status(thm)],[c_0_42])).
fof(c_0_45, plain, ![X35]:(~v1_relat_1(X35)|~v1_funct_1(X35)|k5_waybel26(X35)=k2_relat_1(k3_card_3(k2_card_3(X35)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d4_waybel26])])).
fof(c_0_46, plain, ![X45, X46]:k2_card_3(k10_finseq_1(X45,X46))=k10_finseq_1(k2_zfmisc_1(X45,k1_tarski(np__1)),k2_zfmisc_1(X46,k1_tarski(np__2))), inference(variable_rename,[status(thm)],[t161_finseq_3])).
fof(c_0_47, plain, ![X49, X50]:(~v1_relat_1(X49)|(~v1_relat_1(X50)|k2_relat_1(k2_xboole_0(X49,X50))=k2_xboole_0(k2_relat_1(X49),k2_relat_1(X50)))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t23_relat_1])])])).
cnf(c_0_48, negated_conjecture, (k5_waybel26(k10_finseq_1(u1_struct_0(esk1_0),u1_struct_0(esk2_0)))!=k3_tarski(k10_xtuple_0(k10_finseq_1(k2_zfmisc_1(k1_tarski(np__2),u1_struct_0(esk2_0)),k2_zfmisc_1(k1_tarski(np__1),u1_struct_0(esk1_0)))))|~l1_struct_0(esk2_0)|~l1_struct_0(esk1_0)), inference(spm,[status(thm)],[c_0_43, c_0_44])).
cnf(c_0_49, 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_45])).
cnf(c_0_50, plain, (k2_card_3(k10_finseq_1(X1,X2))=k10_finseq_1(k2_zfmisc_1(X1,k1_tarski(np__1)),k2_zfmisc_1(X2,k1_tarski(np__2)))), inference(split_conjunct,[status(thm)],[c_0_46])).
fof(c_0_51, plain, ![X34]:(~v1_relat_1(X34)|~v1_funct_1(X34)|k3_card_3(X34)=k3_tarski(k10_xtuple_0(X34))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d4_card_3])])).
cnf(c_0_52, plain, (k2_relat_1(k2_xboole_0(X1,X2))=k2_xboole_0(k2_relat_1(X1),k2_relat_1(X2))|~v1_relat_1(X1)|~v1_relat_1(X2)), inference(split_conjunct,[status(thm)],[c_0_47])).
fof(c_0_53, plain, ![X51, X52]:k2_relat_1(k2_zfmisc_1(X51,X52))=k2_zfmisc_1(X52,X51), inference(variable_rename,[status(thm)],[t5_sysrel])).
fof(c_0_54, plain, ![X39, X40]:v1_relat_1(k2_zfmisc_1(X39,X40)), inference(variable_rename,[status(thm)],[fc6_relat_1])).
cnf(c_0_55, negated_conjecture, (k2_relat_1(k3_card_3(k10_finseq_1(k2_zfmisc_1(u1_struct_0(esk1_0),k1_tarski(np__1)),k2_zfmisc_1(u1_struct_0(esk2_0),k1_tarski(np__2)))))!=k3_tarski(k10_xtuple_0(k10_finseq_1(k2_zfmisc_1(k1_tarski(np__2),u1_struct_0(esk2_0)),k2_zfmisc_1(k1_tarski(np__1),u1_struct_0(esk1_0)))))|~l1_struct_0(esk2_0)|~l1_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_48, c_0_49]), c_0_50]), c_0_40]), c_0_41])])).
cnf(c_0_56, 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_51])).
cnf(c_0_57, plain, (k2_relat_1(k3_tarski(k10_xtuple_0(k10_finseq_1(X1,X2))))=k3_tarski(k10_xtuple_0(k10_finseq_1(k2_relat_1(X1),k2_relat_1(X2))))|~v1_relat_1(X2)|~v1_relat_1(X1)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_52, c_0_25]), c_0_25])).
cnf(c_0_58, plain, (k2_relat_1(k2_zfmisc_1(X1,X2))=k2_zfmisc_1(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_53])).
cnf(c_0_59, plain, (v1_relat_1(k2_zfmisc_1(X1,X2))), inference(split_conjunct,[status(thm)],[c_0_54])).
cnf(c_0_60, negated_conjecture, (k2_relat_1(k3_tarski(k10_xtuple_0(k10_finseq_1(k2_zfmisc_1(u1_struct_0(esk2_0),k1_tarski(np__2)),k2_zfmisc_1(u1_struct_0(esk1_0),k1_tarski(np__1))))))!=k3_tarski(k10_xtuple_0(k10_finseq_1(k2_zfmisc_1(k1_tarski(np__2),u1_struct_0(esk2_0)),k2_zfmisc_1(k1_tarski(np__1),u1_struct_0(esk1_0)))))|~l1_struct_0(esk2_0)|~l1_struct_0(esk1_0)), inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55, c_0_56]), c_0_40]), c_0_41])]), c_0_31])).
cnf(c_0_61, plain, (k3_tarski(k10_xtuple_0(k10_finseq_1(k2_relat_1(X1),k2_zfmisc_1(X2,X3))))=k2_relat_1(k3_tarski(k10_xtuple_0(k10_finseq_1(X1,k2_zfmisc_1(X3,X2)))))|~v1_relat_1(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57, c_0_58]), c_0_59])])).
fof(c_0_62, plain, ![X36]:(~l3_algstr_0(X36)|l1_struct_0(X36)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l3_algstr_0])])).
cnf(c_0_63, negated_conjecture, (~l1_struct_0(esk2_0)|~l1_struct_0(esk1_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60, c_0_61]), c_0_58]), c_0_59])])).
cnf(c_0_64, plain, (l1_struct_0(X1)|~l3_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_62])).
cnf(c_0_65, negated_conjecture, (~l1_struct_0(esk2_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63, c_0_64]), c_0_34])])).
cnf(c_0_66, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65, c_0_64]), c_0_28])]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 67
# Proof object clause steps            : 35
# Proof object formula steps           : 32
# Proof object conjectures             : 19
# Proof object clause conjectures      : 16
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 20
# Proof object initial formulas used   : 15
# Proof object generating inferences   : 10
# Proof object simplifying inferences  : 30
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 15
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 21
# Removed in clause preprocessing      : 2
# Initial clauses in saturation        : 19
# Processed clauses                    : 73
# ...of these trivial                  : 0
# ...subsumed                          : 10
# ...remaining for further processing  : 63
# Other redundant clauses eliminated   : 0
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 3
# Backward-rewritten                   : 0
# Generated clauses                    : 121
# ...of the previous two non-trivial   : 116
# Contextual simplify-reflections      : 0
# Paramodulations                      : 121
# 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  : 41
#    Positive orientable unit clauses  : 15
#    Positive unorientable unit clauses: 1
#    Negative unit clauses             : 5
#    Non-unit-clauses                  : 20
# Current number of unprocessed clauses: 81
# ...number of literals in the above   : 242
# Current number of archived formulas  : 0
# Current number of archived clauses   : 24
# Clause-clause subsumption calls (NU) : 113
# Rec. Clause-clause subsumption calls : 71
# Non-unit clause-clause subsumptions  : 11
# Unit Clause-clause subsumption calls : 4
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 0
# BW rewrite match successes           : 0
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 4559

# -------------------------------------------------
# User time                : 0.020 s
# System time              : 0.003 s
# Total time               : 0.023 s
# Maximum resident set size: 3572 pages
