# 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       : 0.021 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(t78_zfmisc_1, axiom, ![X1, X2]:k3_tarski(k2_xboole_0(X1,X2))=k2_xboole_0(k3_tarski(X1),k3_tarski(X2)), file('gr_free0/gr_free0__t13_gr_free0', t78_zfmisc_1)).
fof(t75_zfmisc_1, axiom, ![X1, X2]:k3_tarski(k2_tarski(X1,X2))=k2_xboole_0(X1,X2), file('gr_free0/gr_free0__t13_gr_free0', t75_zfmisc_1)).
fof(commutativity_k2_xboole_0, axiom, ![X1, X2]:k2_xboole_0(X1,X2)=k2_xboole_0(X2,X1), file('gr_free0/gr_free0__t13_gr_free0', commutativity_k2_xboole_0)).
fof(t25_zfmisc_1, axiom, ![X1]:k3_tarski(k1_tarski(X1))=X1, file('gr_free0/gr_free0__t13_gr_free0', t25_zfmisc_1)).
fof(t3_enumset1, axiom, ![X1, X2, X3]:k1_enumset1(X1,X2,X3)=k2_xboole_0(k2_tarski(X1,X2),k1_tarski(X3)), file('gr_free0/gr_free0__t13_gr_free0', t3_enumset1)).
fof(t128_finseq_2, axiom, ![X1, X2, X3]:k10_xtuple_0(k11_finseq_1(X1,X2,X3))=k1_enumset1(X1,X2,X3), file('gr_free0/gr_free0__t13_gr_free0', t128_finseq_2)).
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__t13_gr_free0', d4_card_3)).
fof(fc9_finseq_1, axiom, ![X1, X2, X3]:(v1_relat_1(k11_finseq_1(X1,X2,X3))&v1_funct_1(k11_finseq_1(X1,X2,X3))), file('gr_free0/gr_free0__t13_gr_free0', fc9_finseq_1)).
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__t13_gr_free0', t23_relat_1)).
fof(fc3_relat_1, axiom, ![X1, X2]:((v1_relat_1(X1)&v1_relat_1(X2))=>v1_relat_1(k2_xboole_0(X1,X2))), file('gr_free0/gr_free0__t13_gr_free0', fc3_relat_1)).
fof(t13_gr_free0, conjecture, ![X1]:((~(v2_struct_0(X1))&l3_algstr_0(X1))=>![X2]:((~(v2_struct_0(X2))&l3_algstr_0(X2))=>![X3]:((~(v2_struct_0(X3))&l3_algstr_0(X3))=>k1_gr_free0(k11_finseq_1(X1,X2,X3))=k2_xboole_0(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))),k2_zfmisc_1(k1_tarski(np__3),u1_struct_0(X3)))))), file('gr_free0/gr_free0__t13_gr_free0', t13_gr_free0)).
fof(t5_sysrel, axiom, ![X1, X2]:k2_relat_1(k2_zfmisc_1(X1,X2))=k2_zfmisc_1(X2,X1), file('gr_free0/gr_free0__t13_gr_free0', t5_sysrel)).
fof(fc6_relat_1, axiom, ![X1, X2]:v1_relat_1(k2_zfmisc_1(X1,X2)), file('gr_free0/gr_free0__t13_gr_free0', fc6_relat_1)).
fof(t162_finseq_3, axiom, ![X1, X2, X3]:k2_card_3(k11_finseq_1(X1,X2,X3))=k11_finseq_1(k2_zfmisc_1(X1,k1_tarski(np__1)),k2_zfmisc_1(X2,k1_tarski(np__2)),k2_zfmisc_1(X3,k1_tarski(np__3))), file('gr_free0/gr_free0__t13_gr_free0', t162_finseq_3)).
fof(fc19_group_7, axiom, ![X1, X2, X3]:((((((~(v2_struct_0(X1))&l3_algstr_0(X1))&~(v2_struct_0(X2)))&l3_algstr_0(X2))&~(v2_struct_0(X3)))&l3_algstr_0(X3))=>(v1_partfun1(k11_finseq_1(X1,X2,X3),k1_enumset1(np__1,np__2,np__3))&v1_group_7(k11_finseq_1(X1,X2,X3)))), file('gr_free0/gr_free0__t13_gr_free0', fc19_group_7)).
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__t13_gr_free0', d4_waybel26)).
fof(t19_pralg_1, axiom, ![X1]:(l1_struct_0(X1)=>![X2]:(l1_struct_0(X2)=>![X3]:(l1_struct_0(X3)=>k13_pralg_1(k11_finseq_1(X1,X2,X3))=k11_finseq_1(u1_struct_0(X1),u1_struct_0(X2),u1_struct_0(X3))))), file('gr_free0/gr_free0__t13_gr_free0', t19_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__t13_gr_free0', d1_gr_free0)).
fof(dt_l3_algstr_0, axiom, ![X1]:(l3_algstr_0(X1)=>l1_struct_0(X1)), file('gr_free0/gr_free0__t13_gr_free0', dt_l3_algstr_0)).
fof(c_0_19, plain, ![X82, X83]:k3_tarski(k2_xboole_0(X82,X83))=k2_xboole_0(k3_tarski(X82),k3_tarski(X83)), inference(variable_rename,[status(thm)],[t78_zfmisc_1])).
fof(c_0_20, plain, ![X80, X81]:k3_tarski(k2_tarski(X80,X81))=k2_xboole_0(X80,X81), inference(variable_rename,[status(thm)],[t75_zfmisc_1])).
fof(c_0_21, plain, ![X47, X48]:k2_xboole_0(X47,X48)=k2_xboole_0(X48,X47), inference(variable_rename,[status(thm)],[commutativity_k2_xboole_0])).
cnf(c_0_22, plain, (k3_tarski(k2_xboole_0(X1,X2))=k2_xboole_0(k3_tarski(X1),k3_tarski(X2))), inference(split_conjunct,[status(thm)],[c_0_19])).
cnf(c_0_23, plain, (k3_tarski(k2_tarski(X1,X2))=k2_xboole_0(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_20])).
fof(c_0_24, plain, ![X74]:k3_tarski(k1_tarski(X74))=X74, inference(variable_rename,[status(thm)],[t25_zfmisc_1])).
fof(c_0_25, plain, ![X75, X76, X77]:k1_enumset1(X75,X76,X77)=k2_xboole_0(k2_tarski(X75,X76),k1_tarski(X77)), inference(variable_rename,[status(thm)],[t3_enumset1])).
fof(c_0_26, plain, ![X63, X64, X65]:k10_xtuple_0(k11_finseq_1(X63,X64,X65))=k1_enumset1(X63,X64,X65), inference(variable_rename,[status(thm)],[t128_finseq_2])).
cnf(c_0_27, plain, (k2_xboole_0(X1,X2)=k2_xboole_0(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_21])).
cnf(c_0_28, plain, (k3_tarski(k3_tarski(k2_tarski(X1,X2)))=k3_tarski(k2_tarski(k3_tarski(X1),k3_tarski(X2)))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_22, c_0_23]), c_0_23])).
cnf(c_0_29, plain, (k3_tarski(k1_tarski(X1))=X1), inference(split_conjunct,[status(thm)],[c_0_24])).
cnf(c_0_30, plain, (k1_enumset1(X1,X2,X3)=k2_xboole_0(k2_tarski(X1,X2),k1_tarski(X3))), inference(split_conjunct,[status(thm)],[c_0_25])).
cnf(c_0_31, plain, (k10_xtuple_0(k11_finseq_1(X1,X2,X3))=k1_enumset1(X1,X2,X3)), inference(split_conjunct,[status(thm)],[c_0_26])).
cnf(c_0_32, plain, (k3_tarski(k2_tarski(X1,X2))=k3_tarski(k2_tarski(X2,X1))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_27, c_0_23]), c_0_23])).
cnf(c_0_33, plain, (k3_tarski(k3_tarski(k2_tarski(X1,k1_tarski(X2))))=k3_tarski(k2_tarski(k3_tarski(X1),X2))), inference(spm,[status(thm)],[c_0_28, c_0_29])).
cnf(c_0_34, plain, (k10_xtuple_0(k11_finseq_1(X1,X2,X3))=k3_tarski(k2_tarski(k2_tarski(X1,X2),k1_tarski(X3)))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_30, c_0_23]), c_0_31])).
fof(c_0_35, plain, ![X50]:(~v1_relat_1(X50)|~v1_funct_1(X50)|k3_card_3(X50)=k3_tarski(k10_xtuple_0(X50))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d4_card_3])])).
cnf(c_0_36, plain, (k3_tarski(k3_tarski(k2_tarski(k2_tarski(X1,X2),X3)))=k3_tarski(k3_tarski(k2_tarski(k2_tarski(X2,X1),X3)))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28, c_0_32]), c_0_28])).
cnf(c_0_37, plain, (k3_tarski(k2_tarski(k3_tarski(k2_tarski(X1,X2)),X3))=k3_tarski(k10_xtuple_0(k11_finseq_1(X1,X2,X3)))), inference(spm,[status(thm)],[c_0_33, c_0_34])).
fof(c_0_38, plain, ![X60, X61, X62]:(v1_relat_1(k11_finseq_1(X60,X61,X62))&v1_funct_1(k11_finseq_1(X60,X61,X62))), inference(variable_rename,[status(thm)],[fc9_finseq_1])).
cnf(c_0_39, plain, (k3_tarski(k3_tarski(k2_tarski(k1_tarski(X1),X2)))=k3_tarski(k2_tarski(X1,k3_tarski(X2)))), inference(spm,[status(thm)],[c_0_28, c_0_29])).
cnf(c_0_40, plain, (k3_tarski(k2_tarski(k1_tarski(X1),k2_tarski(X2,X3)))=k10_xtuple_0(k11_finseq_1(X2,X3,X1))), inference(spm,[status(thm)],[c_0_32, c_0_34])).
cnf(c_0_41, 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_35])).
cnf(c_0_42, plain, (k3_tarski(k10_xtuple_0(k11_finseq_1(X1,X2,X3)))=k3_tarski(k10_xtuple_0(k11_finseq_1(X2,X1,X3)))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33, c_0_36]), c_0_34]), c_0_37])).
cnf(c_0_43, plain, (v1_funct_1(k11_finseq_1(X1,X2,X3))), inference(split_conjunct,[status(thm)],[c_0_38])).
cnf(c_0_44, plain, (v1_relat_1(k11_finseq_1(X1,X2,X3))), inference(split_conjunct,[status(thm)],[c_0_38])).
fof(c_0_45, plain, ![X72, X73]:(~v1_relat_1(X72)|(~v1_relat_1(X73)|k2_relat_1(k2_xboole_0(X72,X73))=k2_xboole_0(k2_relat_1(X72),k2_relat_1(X73)))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t23_relat_1])])])).
cnf(c_0_46, plain, (k3_tarski(k2_tarski(X1,k3_tarski(k2_tarski(X2,X3))))=k3_tarski(k10_xtuple_0(k11_finseq_1(X2,X3,X1)))), inference(spm,[status(thm)],[c_0_39, c_0_40])).
cnf(c_0_47, plain, (k3_tarski(k10_xtuple_0(k11_finseq_1(X1,X2,X3)))=k3_card_3(k11_finseq_1(X2,X1,X3))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41, c_0_42]), c_0_43]), c_0_44])])).
cnf(c_0_48, 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_45])).
fof(c_0_49, plain, ![X56, X57]:(~v1_relat_1(X56)|~v1_relat_1(X57)|v1_relat_1(k2_xboole_0(X56,X57))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc3_relat_1])])).
fof(c_0_50, negated_conjecture, ~(![X1]:((~v2_struct_0(X1)&l3_algstr_0(X1))=>![X2]:((~v2_struct_0(X2)&l3_algstr_0(X2))=>![X3]:((~v2_struct_0(X3)&l3_algstr_0(X3))=>k1_gr_free0(k11_finseq_1(X1,X2,X3))=k2_xboole_0(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))),k2_zfmisc_1(k1_tarski(np__3),u1_struct_0(X3))))))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t13_gr_free0])])).
cnf(c_0_51, plain, (k3_tarski(k2_tarski(X1,k3_tarski(k2_tarski(X2,X3))))=k3_card_3(k11_finseq_1(X3,X2,X1))), inference(rw,[status(thm)],[c_0_46, c_0_47])).
cnf(c_0_52, plain, (k2_relat_1(k3_tarski(k2_tarski(X1,X2)))=k3_tarski(k2_tarski(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_48, c_0_23]), c_0_23])).
cnf(c_0_53, plain, (v1_relat_1(k2_xboole_0(X1,X2))|~v1_relat_1(X1)|~v1_relat_1(X2)), inference(split_conjunct,[status(thm)],[c_0_49])).
fof(c_0_54, negated_conjecture, ((~v2_struct_0(esk1_0)&l3_algstr_0(esk1_0))&((~v2_struct_0(esk2_0)&l3_algstr_0(esk2_0))&((~v2_struct_0(esk3_0)&l3_algstr_0(esk3_0))&k1_gr_free0(k11_finseq_1(esk1_0,esk2_0,esk3_0))!=k2_xboole_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))),k2_zfmisc_1(k1_tarski(np__3),u1_struct_0(esk3_0)))))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_50])])])).
cnf(c_0_55, plain, (k3_tarski(k2_tarski(X1,k2_relat_1(k3_tarski(k2_tarski(X2,X3)))))=k3_card_3(k11_finseq_1(k2_relat_1(X3),k2_relat_1(X2),X1))|~v1_relat_1(X3)|~v1_relat_1(X2)), inference(spm,[status(thm)],[c_0_51, c_0_52])).
cnf(c_0_56, plain, (v1_relat_1(k3_tarski(k2_tarski(X1,X2)))|~v1_relat_1(X2)|~v1_relat_1(X1)), inference(rw,[status(thm)],[c_0_53, c_0_23])).
fof(c_0_57, plain, ![X78, X79]:k2_relat_1(k2_zfmisc_1(X78,X79))=k2_zfmisc_1(X79,X78), inference(variable_rename,[status(thm)],[t5_sysrel])).
fof(c_0_58, plain, ![X58, X59]:v1_relat_1(k2_zfmisc_1(X58,X59)), inference(variable_rename,[status(thm)],[fc6_relat_1])).
cnf(c_0_59, negated_conjecture, (k1_gr_free0(k11_finseq_1(esk1_0,esk2_0,esk3_0))!=k2_xboole_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))),k2_zfmisc_1(k1_tarski(np__3),u1_struct_0(esk3_0)))), inference(split_conjunct,[status(thm)],[c_0_54])).
cnf(c_0_60, plain, (k3_card_3(k11_finseq_1(k2_relat_1(X1),k2_relat_1(X2),k2_relat_1(X3)))=k2_relat_1(k3_card_3(k11_finseq_1(X1,X2,X3)))|~v1_relat_1(X3)|~v1_relat_1(X1)|~v1_relat_1(X2)), inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52, c_0_55]), c_0_46]), c_0_47]), c_0_56])).
cnf(c_0_61, plain, (k2_relat_1(k2_zfmisc_1(X1,X2))=k2_zfmisc_1(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_57])).
cnf(c_0_62, plain, (v1_relat_1(k2_zfmisc_1(X1,X2))), inference(split_conjunct,[status(thm)],[c_0_58])).
cnf(c_0_63, negated_conjecture, (k1_gr_free0(k11_finseq_1(esk1_0,esk2_0,esk3_0))!=k3_tarski(k2_tarski(k3_tarski(k2_tarski(k2_zfmisc_1(k1_tarski(np__1),u1_struct_0(esk1_0)),k2_zfmisc_1(k1_tarski(np__2),u1_struct_0(esk2_0)))),k2_zfmisc_1(k1_tarski(np__3),u1_struct_0(esk3_0))))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_59, c_0_23]), c_0_23])).
cnf(c_0_64, plain, (k3_card_3(k11_finseq_1(k2_relat_1(X1),k2_relat_1(X2),k2_zfmisc_1(X3,X4)))=k2_relat_1(k3_card_3(k11_finseq_1(X1,X2,k2_zfmisc_1(X4,X3))))|~v1_relat_1(X1)|~v1_relat_1(X2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60, c_0_61]), c_0_62])])).
cnf(c_0_65, negated_conjecture, (k3_tarski(k2_tarski(k2_zfmisc_1(k1_tarski(np__3),u1_struct_0(esk3_0)),k3_tarski(k2_tarski(k2_zfmisc_1(k1_tarski(np__1),u1_struct_0(esk1_0)),k2_zfmisc_1(k1_tarski(np__2),u1_struct_0(esk2_0))))))!=k1_gr_free0(k11_finseq_1(esk1_0,esk2_0,esk3_0))), inference(rw,[status(thm)],[c_0_63, c_0_32])).
cnf(c_0_66, plain, (k3_card_3(k11_finseq_1(k2_relat_1(X1),k2_zfmisc_1(X2,X3),k2_zfmisc_1(X4,X5)))=k2_relat_1(k3_card_3(k11_finseq_1(X1,k2_zfmisc_1(X3,X2),k2_zfmisc_1(X5,X4))))|~v1_relat_1(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64, c_0_61]), c_0_62])])).
fof(c_0_67, plain, ![X66, X67, X68]:k2_card_3(k11_finseq_1(X66,X67,X68))=k11_finseq_1(k2_zfmisc_1(X66,k1_tarski(np__1)),k2_zfmisc_1(X67,k1_tarski(np__2)),k2_zfmisc_1(X68,k1_tarski(np__3))), inference(variable_rename,[status(thm)],[t162_finseq_3])).
fof(c_0_68, plain, ![X1, X2, X3]:((((((~v2_struct_0(X1)&l3_algstr_0(X1))&~v2_struct_0(X2))&l3_algstr_0(X2))&~v2_struct_0(X3))&l3_algstr_0(X3))=>(v1_partfun1(k11_finseq_1(X1,X2,X3),k1_enumset1(np__1,np__2,np__3))&v1_group_7(k11_finseq_1(X1,X2,X3)))), inference(fof_simplification,[status(thm)],[fc19_group_7])).
cnf(c_0_69, negated_conjecture, (k3_tarski(k10_xtuple_0(k11_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)),k2_zfmisc_1(k1_tarski(np__3),u1_struct_0(esk3_0)))))!=k1_gr_free0(k11_finseq_1(esk1_0,esk2_0,esk3_0))), inference(rw,[status(thm)],[c_0_65, c_0_46])).
cnf(c_0_70, plain, (k2_relat_1(k3_card_3(k11_finseq_1(k2_zfmisc_1(X1,X2),k2_zfmisc_1(X3,X4),k2_zfmisc_1(X5,X6))))=k3_card_3(k11_finseq_1(k2_zfmisc_1(X2,X1),k2_zfmisc_1(X4,X3),k2_zfmisc_1(X6,X5)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66, c_0_61]), c_0_62])])).
cnf(c_0_71, plain, (k2_card_3(k11_finseq_1(X1,X2,X3))=k11_finseq_1(k2_zfmisc_1(X1,k1_tarski(np__1)),k2_zfmisc_1(X2,k1_tarski(np__2)),k2_zfmisc_1(X3,k1_tarski(np__3)))), inference(split_conjunct,[status(thm)],[c_0_67])).
fof(c_0_72, plain, ![X53, X54, X55]:((v1_partfun1(k11_finseq_1(X53,X54,X55),k1_enumset1(np__1,np__2,np__3))|(v2_struct_0(X53)|~l3_algstr_0(X53)|v2_struct_0(X54)|~l3_algstr_0(X54)|v2_struct_0(X55)|~l3_algstr_0(X55)))&(v1_group_7(k11_finseq_1(X53,X54,X55))|(v2_struct_0(X53)|~l3_algstr_0(X53)|v2_struct_0(X54)|~l3_algstr_0(X54)|v2_struct_0(X55)|~l3_algstr_0(X55)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_68])])])).
cnf(c_0_73, negated_conjecture, (k3_card_3(k11_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)),k2_zfmisc_1(k1_tarski(np__3),u1_struct_0(esk3_0))))!=k1_gr_free0(k11_finseq_1(esk1_0,esk2_0,esk3_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69, c_0_41]), c_0_43]), c_0_44])])).
cnf(c_0_74, plain, (k3_card_3(k11_finseq_1(k2_zfmisc_1(k1_tarski(np__1),X1),k2_zfmisc_1(k1_tarski(np__2),X2),k2_zfmisc_1(k1_tarski(np__3),X3)))=k2_relat_1(k3_card_3(k2_card_3(k11_finseq_1(X1,X2,X3))))), inference(spm,[status(thm)],[c_0_70, c_0_71])).
fof(c_0_75, plain, ![X51]:(~v1_relat_1(X51)|~v1_funct_1(X51)|k5_waybel26(X51)=k2_relat_1(k3_card_3(k2_card_3(X51)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d4_waybel26])])).
cnf(c_0_76, plain, (v1_group_7(k11_finseq_1(X1,X2,X3))|v2_struct_0(X1)|v2_struct_0(X2)|v2_struct_0(X3)|~l3_algstr_0(X1)|~l3_algstr_0(X2)|~l3_algstr_0(X3)), inference(split_conjunct,[status(thm)],[c_0_72])).
cnf(c_0_77, negated_conjecture, (l3_algstr_0(esk3_0)), inference(split_conjunct,[status(thm)],[c_0_54])).
cnf(c_0_78, negated_conjecture, (~v2_struct_0(esk3_0)), inference(split_conjunct,[status(thm)],[c_0_54])).
cnf(c_0_79, negated_conjecture, (k2_relat_1(k3_card_3(k2_card_3(k11_finseq_1(u1_struct_0(esk1_0),u1_struct_0(esk2_0),u1_struct_0(esk3_0)))))!=k1_gr_free0(k11_finseq_1(esk1_0,esk2_0,esk3_0))), inference(rw,[status(thm)],[c_0_73, c_0_74])).
cnf(c_0_80, 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_75])).
fof(c_0_81, plain, ![X69, X70, X71]:(~l1_struct_0(X69)|(~l1_struct_0(X70)|(~l1_struct_0(X71)|k13_pralg_1(k11_finseq_1(X69,X70,X71))=k11_finseq_1(u1_struct_0(X69),u1_struct_0(X70),u1_struct_0(X71))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t19_pralg_1])])])).
cnf(c_0_82, negated_conjecture, (v1_group_7(k11_finseq_1(X1,X2,esk3_0))|v2_struct_0(X1)|v2_struct_0(X2)|~l3_algstr_0(X2)|~l3_algstr_0(X1)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_76, c_0_77]), c_0_78])).
cnf(c_0_83, negated_conjecture, (l3_algstr_0(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_54])).
cnf(c_0_84, negated_conjecture, (~v2_struct_0(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_54])).
cnf(c_0_85, negated_conjecture, (k5_waybel26(k11_finseq_1(u1_struct_0(esk1_0),u1_struct_0(esk2_0),u1_struct_0(esk3_0)))!=k1_gr_free0(k11_finseq_1(esk1_0,esk2_0,esk3_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79, c_0_80]), c_0_43]), c_0_44])])).
cnf(c_0_86, plain, (k13_pralg_1(k11_finseq_1(X1,X2,X3))=k11_finseq_1(u1_struct_0(X1),u1_struct_0(X2),u1_struct_0(X3))|~l1_struct_0(X1)|~l1_struct_0(X2)|~l1_struct_0(X3)), inference(split_conjunct,[status(thm)],[c_0_81])).
fof(c_0_87, plain, ![X49]:(~v1_relat_1(X49)|~v1_funct_1(X49)|~v1_group_7(X49)|k1_gr_free0(X49)=k5_waybel26(k13_pralg_1(X49))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d1_gr_free0])])).
cnf(c_0_88, negated_conjecture, (v1_group_7(k11_finseq_1(X1,esk2_0,esk3_0))|v2_struct_0(X1)|~l3_algstr_0(X1)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_82, c_0_83]), c_0_84])).
cnf(c_0_89, negated_conjecture, (l3_algstr_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_54])).
cnf(c_0_90, negated_conjecture, (~v2_struct_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_54])).
cnf(c_0_91, negated_conjecture, (k5_waybel26(k13_pralg_1(k11_finseq_1(esk1_0,esk2_0,esk3_0)))!=k1_gr_free0(k11_finseq_1(esk1_0,esk2_0,esk3_0))|~l1_struct_0(esk3_0)|~l1_struct_0(esk2_0)|~l1_struct_0(esk1_0)), inference(spm,[status(thm)],[c_0_85, c_0_86])).
cnf(c_0_92, 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_87])).
cnf(c_0_93, negated_conjecture, (v1_group_7(k11_finseq_1(esk1_0,esk2_0,esk3_0))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_88, c_0_89]), c_0_90])).
fof(c_0_94, plain, ![X52]:(~l3_algstr_0(X52)|l1_struct_0(X52)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l3_algstr_0])])).
cnf(c_0_95, negated_conjecture, (~l1_struct_0(esk3_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_91, c_0_92]), c_0_93]), c_0_43]), c_0_44])])).
cnf(c_0_96, plain, (l1_struct_0(X1)|~l3_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_94])).
cnf(c_0_97, negated_conjecture, (~l1_struct_0(esk2_0)|~l1_struct_0(esk1_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95, c_0_96]), c_0_77])])).
cnf(c_0_98, negated_conjecture, (~l1_struct_0(esk1_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97, c_0_96]), c_0_83])])).
cnf(c_0_99, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98, c_0_96]), c_0_89])]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 100
# Proof object clause steps            : 60
# Proof object formula steps           : 40
# Proof object conjectures             : 24
# Proof object clause conjectures      : 21
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 26
# Proof object initial formulas used   : 19
# Proof object generating inferences   : 24
# Proof object simplifying inferences  : 49
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 19
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 27
# Removed in clause preprocessing      : 2
# Initial clauses in saturation        : 25
# Processed clauses                    : 44240
# ...of these trivial                  : 1286
# ...subsumed                          : 37801
# ...remaining for further processing  : 5153
# Other redundant clauses eliminated   : 0
# Clauses deleted for lack of memory   : 159217
# Backward-subsumed                    : 113
# Backward-rewritten                   : 116
# Generated clauses                    : 3064153
# ...of the previous two non-trivial   : 3033025
# Contextual simplify-reflections      : 7
# Paramodulations                      : 3064153
# Factorizations                       : 0
# NegExts                              : 0
# Equation resolutions                 : 0
# Propositional unsat checks           : 1
#    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       : 5.891
#    Propositional solver time         : 0.454
#    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  : 4899
#    Positive orientable unit clauses  : 654
#    Positive unorientable unit clauses: 49
#    Negative unit clauses             : 6
#    Non-unit-clauses                  : 4190
# Current number of unprocessed clauses: 481674
# ...number of literals in the above   : 1882345
# Current number of archived formulas  : 0
# Current number of archived clauses   : 256
# Clause-clause subsumption calls (NU) : 2753590
# Rec. Clause-clause subsumption calls : 1816004
# Non-unit clause-clause subsumptions  : 34573
# Unit Clause-clause subsumption calls : 6848
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 326564
# BW rewrite match successes           : 1443
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 162155678

# -------------------------------------------------
# User time                : 140.843 s
# System time              : 2.732 s
# Total time               : 143.575 s
# Maximum resident set size: 3476 pages
