# No SInE strategy applied
# Trying AutoSched0 for 161 seconds
# AutoSched0-Mode selected heuristic G_E___211_C18_F1_AE_CS_SP_S0Y
# and selection function SelectMaxLComplexAvoidPosPred.
#
# Preprocessing time       : 0.019 s

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(d2_group_7, axiom, ![X1, X2]:(((((v1_relat_1(X2)&v4_relat_1(X2,X1))&v1_funct_1(X2))&v1_partfun1(X2,X1))&v1_group_7(X2))=>![X3]:((v15_algstr_0(X3)&l3_algstr_0(X3))=>(X3=k2_group_7(X1,X2)<=>(u1_struct_0(X3)=k4_card_3(k14_pralg_1(X1,X2))&![X4]:(m1_subset_1(X4,k4_card_3(k14_pralg_1(X1,X2)))=>![X5]:(m1_subset_1(X5,k4_card_3(k14_pralg_1(X1,X2)))=>![X6]:~((r2_tarski(X6,X1)&![X7]:((~(v2_struct_0(X7))&l3_algstr_0(X7))=>![X8]:((v1_relat_1(X8)&v1_funct_1(X8))=>~(((X7=k1_funct_1(X2,X6)&X8=k1_binop_1(u2_algstr_0(X3),X4,X5))&k1_funct_1(X8,X6)=k1_binop_1(u2_algstr_0(X7),k1_funct_1(X4,X6),k1_funct_1(X5,X6)))))))))))))), file('group_24/group_24__t23_group_24', d2_group_7)).
fof(t23_group_24, conjecture, ![X1]:((((~(v2_struct_0(X1))&v2_group_1(X1))&v3_group_1(X1))&l3_algstr_0(X1))=>![X2]:((((~(v2_struct_0(X2))&v2_group_1(X2))&v3_group_1(X2))&l3_algstr_0(X2))=>![X3]:((((v1_funct_1(X3)&v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(k3_autgroup(X1))))&v1_group_6(X3,X2,k3_autgroup(X1)))&m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X2),u1_struct_0(k3_autgroup(X1))))))=>u1_struct_0(k1_group_24(X1,X2,X3))=u1_struct_0(k2_group_7(k2_tarski(np__1,np__2),k10_finseq_1(X1,X2)))))), file('group_24/group_24__t23_group_24', t23_group_24)).
fof(dt_k2_group_7, axiom, ![X1, X2]:(((((v1_relat_1(X2)&v4_relat_1(X2,X1))&v1_funct_1(X2))&v1_partfun1(X2,X1))&v1_group_7(X2))=>(v15_algstr_0(k2_group_7(X1,X2))&l3_algstr_0(k2_group_7(X1,X2)))), file('group_24/group_24__t23_group_24', dt_k2_group_7)).
fof(fc8_finseq_1, axiom, ![X1, X2]:(v1_relat_1(k10_finseq_1(X1,X2))&v1_funct_1(k10_finseq_1(X1,X2))), file('group_24/group_24__t23_group_24', fc8_finseq_1)).
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('group_24/group_24__t23_group_24', fc14_group_7)).
fof(d1_group_24, axiom, ![X1]:((((~(v2_struct_0(X1))&v2_group_1(X1))&v3_group_1(X1))&l3_algstr_0(X1))=>![X2]:((((~(v2_struct_0(X2))&v2_group_1(X2))&v3_group_1(X2))&l3_algstr_0(X2))=>![X3]:((((v1_funct_1(X3)&v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(k3_autgroup(X1))))&v1_group_6(X3,X2,k3_autgroup(X1)))&m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X2),u1_struct_0(k3_autgroup(X1))))))=>![X4]:(((~(v2_struct_0(X4))&v15_algstr_0(X4))&l3_algstr_0(X4))=>(X4=k1_group_24(X1,X2,X3)<=>(u1_struct_0(X4)=k4_card_3(k14_pralg_1(k2_tarski(np__1,np__2),k10_finseq_1(X1,X2)))&![X5]:(m1_subset_1(X5,k4_card_3(k14_pralg_1(k2_tarski(np__1,np__2),k10_finseq_1(X1,X2))))=>![X6]:(m1_subset_1(X6,k4_card_3(k14_pralg_1(k2_tarski(np__1,np__2),k10_finseq_1(X1,X2))))=>?[X7]:((v1_relat_1(X7)&v1_funct_1(X7))&?[X8]:(m1_subset_1(X8,u1_struct_0(X2))&?[X9]:(((((m1_subset_1(X9,u1_struct_0(X1))&X7=k1_binop_1(u2_algstr_0(X4),X5,X6))&X8=k1_funct_1(X5,np__2))&X9=k1_funct_1(X6,np__1))&k1_funct_1(X7,np__1)=k1_binop_1(u2_algstr_0(X1),k1_funct_1(X5,np__1),k1_funct_1(k3_funct_2(u1_struct_0(X2),u1_struct_0(k3_autgroup(X1)),X3,X8),X9)))&k1_funct_1(X7,np__2)=k1_binop_1(u2_algstr_0(X2),k1_funct_1(X5,np__2),k1_funct_1(X6,np__2))))))))))))), file('group_24/group_24__t23_group_24', d1_group_24)).
fof(dt_k1_group_24, axiom, ![X1, X2, X3]:((((((((((((~(v2_struct_0(X1))&v2_group_1(X1))&v3_group_1(X1))&l3_algstr_0(X1))&~(v2_struct_0(X2)))&v2_group_1(X2))&v3_group_1(X2))&l3_algstr_0(X2))&v1_funct_1(X3))&v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(k3_autgroup(X1))))&v1_group_6(X3,X2,k3_autgroup(X1)))&m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X2),u1_struct_0(k3_autgroup(X1))))))=>((~(v2_struct_0(k1_group_24(X1,X2,X3)))&v15_algstr_0(k1_group_24(X1,X2,X3)))&l3_algstr_0(k1_group_24(X1,X2,X3)))), file('group_24/group_24__t23_group_24', dt_k1_group_24)).
fof(fc13_group_7, axiom, ![X1, X2]:((((~(v2_struct_0(X1))&l3_algstr_0(X1))&~(v2_struct_0(X2)))&l3_algstr_0(X2))=>v4_relat_1(k10_finseq_1(X1,X2),k2_tarski(np__1,np__2))), file('group_24/group_24__t23_group_24', fc13_group_7)).
fof(c_0_8, plain, ![X1, X2]:(((((v1_relat_1(X2)&v4_relat_1(X2,X1))&v1_funct_1(X2))&v1_partfun1(X2,X1))&v1_group_7(X2))=>![X3]:((v15_algstr_0(X3)&l3_algstr_0(X3))=>(X3=k2_group_7(X1,X2)<=>(u1_struct_0(X3)=k4_card_3(k14_pralg_1(X1,X2))&![X4]:(m1_subset_1(X4,k4_card_3(k14_pralg_1(X1,X2)))=>![X5]:(m1_subset_1(X5,k4_card_3(k14_pralg_1(X1,X2)))=>![X6]:~((r2_tarski(X6,X1)&![X7]:((~v2_struct_0(X7)&l3_algstr_0(X7))=>![X8]:((v1_relat_1(X8)&v1_funct_1(X8))=>~(((X7=k1_funct_1(X2,X6)&X8=k1_binop_1(u2_algstr_0(X3),X4,X5))&k1_funct_1(X8,X6)=k1_binop_1(u2_algstr_0(X7),k1_funct_1(X4,X6),k1_funct_1(X5,X6)))))))))))))), inference(fof_simplification,[status(thm)],[d2_group_7])).
fof(c_0_9, negated_conjecture, ~(![X1]:((((~v2_struct_0(X1)&v2_group_1(X1))&v3_group_1(X1))&l3_algstr_0(X1))=>![X2]:((((~v2_struct_0(X2)&v2_group_1(X2))&v3_group_1(X2))&l3_algstr_0(X2))=>![X3]:((((v1_funct_1(X3)&v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(k3_autgroup(X1))))&v1_group_6(X3,X2,k3_autgroup(X1)))&m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X2),u1_struct_0(k3_autgroup(X1))))))=>u1_struct_0(k1_group_24(X1,X2,X3))=u1_struct_0(k2_group_7(k2_tarski(np__1,np__2),k10_finseq_1(X1,X2))))))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t23_group_24])])).
fof(c_0_10, plain, ![X58, X59, X60, X61, X62, X63, X69, X70]:(((u1_struct_0(X60)=k4_card_3(k14_pralg_1(X58,X59))|X60!=k2_group_7(X58,X59)|(~v15_algstr_0(X60)|~l3_algstr_0(X60))|(~v1_relat_1(X59)|~v4_relat_1(X59,X58)|~v1_funct_1(X59)|~v1_partfun1(X59,X58)|~v1_group_7(X59)))&(((~v2_struct_0(esk9_6(X58,X59,X60,X61,X62,X63))|~r2_tarski(X63,X58)|~m1_subset_1(X62,k4_card_3(k14_pralg_1(X58,X59)))|~m1_subset_1(X61,k4_card_3(k14_pralg_1(X58,X59)))|X60!=k2_group_7(X58,X59)|(~v15_algstr_0(X60)|~l3_algstr_0(X60))|(~v1_relat_1(X59)|~v4_relat_1(X59,X58)|~v1_funct_1(X59)|~v1_partfun1(X59,X58)|~v1_group_7(X59)))&(l3_algstr_0(esk9_6(X58,X59,X60,X61,X62,X63))|~r2_tarski(X63,X58)|~m1_subset_1(X62,k4_card_3(k14_pralg_1(X58,X59)))|~m1_subset_1(X61,k4_card_3(k14_pralg_1(X58,X59)))|X60!=k2_group_7(X58,X59)|(~v15_algstr_0(X60)|~l3_algstr_0(X60))|(~v1_relat_1(X59)|~v4_relat_1(X59,X58)|~v1_funct_1(X59)|~v1_partfun1(X59,X58)|~v1_group_7(X59))))&(((v1_relat_1(esk10_6(X58,X59,X60,X61,X62,X63))|~r2_tarski(X63,X58)|~m1_subset_1(X62,k4_card_3(k14_pralg_1(X58,X59)))|~m1_subset_1(X61,k4_card_3(k14_pralg_1(X58,X59)))|X60!=k2_group_7(X58,X59)|(~v15_algstr_0(X60)|~l3_algstr_0(X60))|(~v1_relat_1(X59)|~v4_relat_1(X59,X58)|~v1_funct_1(X59)|~v1_partfun1(X59,X58)|~v1_group_7(X59)))&(v1_funct_1(esk10_6(X58,X59,X60,X61,X62,X63))|~r2_tarski(X63,X58)|~m1_subset_1(X62,k4_card_3(k14_pralg_1(X58,X59)))|~m1_subset_1(X61,k4_card_3(k14_pralg_1(X58,X59)))|X60!=k2_group_7(X58,X59)|(~v15_algstr_0(X60)|~l3_algstr_0(X60))|(~v1_relat_1(X59)|~v4_relat_1(X59,X58)|~v1_funct_1(X59)|~v1_partfun1(X59,X58)|~v1_group_7(X59))))&(((esk9_6(X58,X59,X60,X61,X62,X63)=k1_funct_1(X59,X63)|~r2_tarski(X63,X58)|~m1_subset_1(X62,k4_card_3(k14_pralg_1(X58,X59)))|~m1_subset_1(X61,k4_card_3(k14_pralg_1(X58,X59)))|X60!=k2_group_7(X58,X59)|(~v15_algstr_0(X60)|~l3_algstr_0(X60))|(~v1_relat_1(X59)|~v4_relat_1(X59,X58)|~v1_funct_1(X59)|~v1_partfun1(X59,X58)|~v1_group_7(X59)))&(esk10_6(X58,X59,X60,X61,X62,X63)=k1_binop_1(u2_algstr_0(X60),X61,X62)|~r2_tarski(X63,X58)|~m1_subset_1(X62,k4_card_3(k14_pralg_1(X58,X59)))|~m1_subset_1(X61,k4_card_3(k14_pralg_1(X58,X59)))|X60!=k2_group_7(X58,X59)|(~v15_algstr_0(X60)|~l3_algstr_0(X60))|(~v1_relat_1(X59)|~v4_relat_1(X59,X58)|~v1_funct_1(X59)|~v1_partfun1(X59,X58)|~v1_group_7(X59))))&(k1_funct_1(esk10_6(X58,X59,X60,X61,X62,X63),X63)=k1_binop_1(u2_algstr_0(esk9_6(X58,X59,X60,X61,X62,X63)),k1_funct_1(X61,X63),k1_funct_1(X62,X63))|~r2_tarski(X63,X58)|~m1_subset_1(X62,k4_card_3(k14_pralg_1(X58,X59)))|~m1_subset_1(X61,k4_card_3(k14_pralg_1(X58,X59)))|X60!=k2_group_7(X58,X59)|(~v15_algstr_0(X60)|~l3_algstr_0(X60))|(~v1_relat_1(X59)|~v4_relat_1(X59,X58)|~v1_funct_1(X59)|~v1_partfun1(X59,X58)|~v1_group_7(X59)))))))&((m1_subset_1(esk11_3(X58,X59,X60),k4_card_3(k14_pralg_1(X58,X59)))|u1_struct_0(X60)!=k4_card_3(k14_pralg_1(X58,X59))|X60=k2_group_7(X58,X59)|(~v15_algstr_0(X60)|~l3_algstr_0(X60))|(~v1_relat_1(X59)|~v4_relat_1(X59,X58)|~v1_funct_1(X59)|~v1_partfun1(X59,X58)|~v1_group_7(X59)))&((m1_subset_1(esk12_3(X58,X59,X60),k4_card_3(k14_pralg_1(X58,X59)))|u1_struct_0(X60)!=k4_card_3(k14_pralg_1(X58,X59))|X60=k2_group_7(X58,X59)|(~v15_algstr_0(X60)|~l3_algstr_0(X60))|(~v1_relat_1(X59)|~v4_relat_1(X59,X58)|~v1_funct_1(X59)|~v1_partfun1(X59,X58)|~v1_group_7(X59)))&((r2_tarski(esk13_3(X58,X59,X60),X58)|u1_struct_0(X60)!=k4_card_3(k14_pralg_1(X58,X59))|X60=k2_group_7(X58,X59)|(~v15_algstr_0(X60)|~l3_algstr_0(X60))|(~v1_relat_1(X59)|~v4_relat_1(X59,X58)|~v1_funct_1(X59)|~v1_partfun1(X59,X58)|~v1_group_7(X59)))&(v2_struct_0(X69)|~l3_algstr_0(X69)|(~v1_relat_1(X70)|~v1_funct_1(X70)|(X69!=k1_funct_1(X59,esk13_3(X58,X59,X60))|X70!=k1_binop_1(u2_algstr_0(X60),esk11_3(X58,X59,X60),esk12_3(X58,X59,X60))|k1_funct_1(X70,esk13_3(X58,X59,X60))!=k1_binop_1(u2_algstr_0(X69),k1_funct_1(esk11_3(X58,X59,X60),esk13_3(X58,X59,X60)),k1_funct_1(esk12_3(X58,X59,X60),esk13_3(X58,X59,X60)))))|u1_struct_0(X60)!=k4_card_3(k14_pralg_1(X58,X59))|X60=k2_group_7(X58,X59)|(~v15_algstr_0(X60)|~l3_algstr_0(X60))|(~v1_relat_1(X59)|~v4_relat_1(X59,X58)|~v1_funct_1(X59)|~v1_partfun1(X59,X58)|~v1_group_7(X59))))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])])])])).
fof(c_0_11, plain, ![X74, X75]:((v15_algstr_0(k2_group_7(X74,X75))|(~v1_relat_1(X75)|~v4_relat_1(X75,X74)|~v1_funct_1(X75)|~v1_partfun1(X75,X74)|~v1_group_7(X75)))&(l3_algstr_0(k2_group_7(X74,X75))|(~v1_relat_1(X75)|~v4_relat_1(X75,X74)|~v1_funct_1(X75)|~v1_partfun1(X75,X74)|~v1_group_7(X75)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k2_group_7])])])).
fof(c_0_12, negated_conjecture, ((((~v2_struct_0(esk1_0)&v2_group_1(esk1_0))&v3_group_1(esk1_0))&l3_algstr_0(esk1_0))&((((~v2_struct_0(esk2_0)&v2_group_1(esk2_0))&v3_group_1(esk2_0))&l3_algstr_0(esk2_0))&((((v1_funct_1(esk3_0)&v1_funct_2(esk3_0,u1_struct_0(esk2_0),u1_struct_0(k3_autgroup(esk1_0))))&v1_group_6(esk3_0,esk2_0,k3_autgroup(esk1_0)))&m1_subset_1(esk3_0,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(esk2_0),u1_struct_0(k3_autgroup(esk1_0))))))&u1_struct_0(k1_group_24(esk1_0,esk2_0,esk3_0))!=u1_struct_0(k2_group_7(k2_tarski(np__1,np__2),k10_finseq_1(esk1_0,esk2_0)))))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])])).
cnf(c_0_13, plain, (u1_struct_0(X1)=k4_card_3(k14_pralg_1(X2,X3))|X1!=k2_group_7(X2,X3)|~v15_algstr_0(X1)|~l3_algstr_0(X1)|~v1_relat_1(X3)|~v4_relat_1(X3,X2)|~v1_funct_1(X3)|~v1_partfun1(X3,X2)|~v1_group_7(X3)), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_14, plain, (l3_algstr_0(k2_group_7(X1,X2))|~v1_relat_1(X2)|~v4_relat_1(X2,X1)|~v1_funct_1(X2)|~v1_partfun1(X2,X1)|~v1_group_7(X2)), inference(split_conjunct,[status(thm)],[c_0_11])).
cnf(c_0_15, plain, (v15_algstr_0(k2_group_7(X1,X2))|~v1_relat_1(X2)|~v4_relat_1(X2,X1)|~v1_funct_1(X2)|~v1_partfun1(X2,X1)|~v1_group_7(X2)), inference(split_conjunct,[status(thm)],[c_0_11])).
fof(c_0_16, plain, ![X80, X81]:(v1_relat_1(k10_finseq_1(X80,X81))&v1_funct_1(k10_finseq_1(X80,X81))), inference(variable_rename,[status(thm)],[fc8_finseq_1])).
fof(c_0_17, 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_18, plain, ![X1]:((((~v2_struct_0(X1)&v2_group_1(X1))&v3_group_1(X1))&l3_algstr_0(X1))=>![X2]:((((~v2_struct_0(X2)&v2_group_1(X2))&v3_group_1(X2))&l3_algstr_0(X2))=>![X3]:((((v1_funct_1(X3)&v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(k3_autgroup(X1))))&v1_group_6(X3,X2,k3_autgroup(X1)))&m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X2),u1_struct_0(k3_autgroup(X1))))))=>![X4]:(((~v2_struct_0(X4)&v15_algstr_0(X4))&l3_algstr_0(X4))=>(X4=k1_group_24(X1,X2,X3)<=>(u1_struct_0(X4)=k4_card_3(k14_pralg_1(k2_tarski(np__1,np__2),k10_finseq_1(X1,X2)))&![X5]:(m1_subset_1(X5,k4_card_3(k14_pralg_1(k2_tarski(np__1,np__2),k10_finseq_1(X1,X2))))=>![X6]:(m1_subset_1(X6,k4_card_3(k14_pralg_1(k2_tarski(np__1,np__2),k10_finseq_1(X1,X2))))=>?[X7]:((v1_relat_1(X7)&v1_funct_1(X7))&?[X8]:(m1_subset_1(X8,u1_struct_0(X2))&?[X9]:(((((m1_subset_1(X9,u1_struct_0(X1))&X7=k1_binop_1(u2_algstr_0(X4),X5,X6))&X8=k1_funct_1(X5,np__2))&X9=k1_funct_1(X6,np__1))&k1_funct_1(X7,np__1)=k1_binop_1(u2_algstr_0(X1),k1_funct_1(X5,np__1),k1_funct_1(k3_funct_2(u1_struct_0(X2),u1_struct_0(k3_autgroup(X1)),X3,X8),X9)))&k1_funct_1(X7,np__2)=k1_binop_1(u2_algstr_0(X2),k1_funct_1(X5,np__2),k1_funct_1(X6,np__2))))))))))))), inference(fof_simplification,[status(thm)],[d1_group_24])).
fof(c_0_19, plain, ![X1, X2, X3]:((((((((((((~v2_struct_0(X1)&v2_group_1(X1))&v3_group_1(X1))&l3_algstr_0(X1))&~v2_struct_0(X2))&v2_group_1(X2))&v3_group_1(X2))&l3_algstr_0(X2))&v1_funct_1(X3))&v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(k3_autgroup(X1))))&v1_group_6(X3,X2,k3_autgroup(X1)))&m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X2),u1_struct_0(k3_autgroup(X1))))))=>((~v2_struct_0(k1_group_24(X1,X2,X3))&v15_algstr_0(k1_group_24(X1,X2,X3)))&l3_algstr_0(k1_group_24(X1,X2,X3)))), inference(fof_simplification,[status(thm)],[dt_k1_group_24])).
cnf(c_0_20, negated_conjecture, (u1_struct_0(k1_group_24(esk1_0,esk2_0,esk3_0))!=u1_struct_0(k2_group_7(k2_tarski(np__1,np__2),k10_finseq_1(esk1_0,esk2_0)))), inference(split_conjunct,[status(thm)],[c_0_12])).
cnf(c_0_21, plain, (u1_struct_0(k2_group_7(X1,X2))=k4_card_3(k14_pralg_1(X1,X2))|~v1_group_7(X2)|~v1_partfun1(X2,X1)|~v4_relat_1(X2,X1)|~v1_relat_1(X2)|~v1_funct_1(X2)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_13]), c_0_14]), c_0_15])).
cnf(c_0_22, plain, (v1_relat_1(k10_finseq_1(X1,X2))), inference(split_conjunct,[status(thm)],[c_0_16])).
cnf(c_0_23, plain, (v1_funct_1(k10_finseq_1(X1,X2))), inference(split_conjunct,[status(thm)],[c_0_16])).
fof(c_0_24, plain, ![X78, X79]:((v1_partfun1(k10_finseq_1(X78,X79),k2_tarski(np__1,np__2))|(v2_struct_0(X78)|~l3_algstr_0(X78)|v2_struct_0(X79)|~l3_algstr_0(X79)))&(v1_group_7(k10_finseq_1(X78,X79))|(v2_struct_0(X78)|~l3_algstr_0(X78)|v2_struct_0(X79)|~l3_algstr_0(X79)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_17])])])).
fof(c_0_25, plain, ![X1, X2]:((((~v2_struct_0(X1)&l3_algstr_0(X1))&~v2_struct_0(X2))&l3_algstr_0(X2))=>v4_relat_1(k10_finseq_1(X1,X2),k2_tarski(np__1,np__2))), inference(fof_simplification,[status(thm)],[fc13_group_7])).
fof(c_0_26, plain, ![X44, X45, X46, X47, X48, X49, X55, X56, X57]:(((u1_struct_0(X47)=k4_card_3(k14_pralg_1(k2_tarski(np__1,np__2),k10_finseq_1(X44,X45)))|X47!=k1_group_24(X44,X45,X46)|(v2_struct_0(X47)|~v15_algstr_0(X47)|~l3_algstr_0(X47))|(~v1_funct_1(X46)|~v1_funct_2(X46,u1_struct_0(X45),u1_struct_0(k3_autgroup(X44)))|~v1_group_6(X46,X45,k3_autgroup(X44))|~m1_subset_1(X46,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X45),u1_struct_0(k3_autgroup(X44))))))|(v2_struct_0(X45)|~v2_group_1(X45)|~v3_group_1(X45)|~l3_algstr_0(X45))|(v2_struct_0(X44)|~v2_group_1(X44)|~v3_group_1(X44)|~l3_algstr_0(X44)))&(((v1_relat_1(esk4_6(X44,X45,X46,X47,X48,X49))|~m1_subset_1(X49,k4_card_3(k14_pralg_1(k2_tarski(np__1,np__2),k10_finseq_1(X44,X45))))|~m1_subset_1(X48,k4_card_3(k14_pralg_1(k2_tarski(np__1,np__2),k10_finseq_1(X44,X45))))|X47!=k1_group_24(X44,X45,X46)|(v2_struct_0(X47)|~v15_algstr_0(X47)|~l3_algstr_0(X47))|(~v1_funct_1(X46)|~v1_funct_2(X46,u1_struct_0(X45),u1_struct_0(k3_autgroup(X44)))|~v1_group_6(X46,X45,k3_autgroup(X44))|~m1_subset_1(X46,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X45),u1_struct_0(k3_autgroup(X44))))))|(v2_struct_0(X45)|~v2_group_1(X45)|~v3_group_1(X45)|~l3_algstr_0(X45))|(v2_struct_0(X44)|~v2_group_1(X44)|~v3_group_1(X44)|~l3_algstr_0(X44)))&(v1_funct_1(esk4_6(X44,X45,X46,X47,X48,X49))|~m1_subset_1(X49,k4_card_3(k14_pralg_1(k2_tarski(np__1,np__2),k10_finseq_1(X44,X45))))|~m1_subset_1(X48,k4_card_3(k14_pralg_1(k2_tarski(np__1,np__2),k10_finseq_1(X44,X45))))|X47!=k1_group_24(X44,X45,X46)|(v2_struct_0(X47)|~v15_algstr_0(X47)|~l3_algstr_0(X47))|(~v1_funct_1(X46)|~v1_funct_2(X46,u1_struct_0(X45),u1_struct_0(k3_autgroup(X44)))|~v1_group_6(X46,X45,k3_autgroup(X44))|~m1_subset_1(X46,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X45),u1_struct_0(k3_autgroup(X44))))))|(v2_struct_0(X45)|~v2_group_1(X45)|~v3_group_1(X45)|~l3_algstr_0(X45))|(v2_struct_0(X44)|~v2_group_1(X44)|~v3_group_1(X44)|~l3_algstr_0(X44))))&((m1_subset_1(esk5_6(X44,X45,X46,X47,X48,X49),u1_struct_0(X45))|~m1_subset_1(X49,k4_card_3(k14_pralg_1(k2_tarski(np__1,np__2),k10_finseq_1(X44,X45))))|~m1_subset_1(X48,k4_card_3(k14_pralg_1(k2_tarski(np__1,np__2),k10_finseq_1(X44,X45))))|X47!=k1_group_24(X44,X45,X46)|(v2_struct_0(X47)|~v15_algstr_0(X47)|~l3_algstr_0(X47))|(~v1_funct_1(X46)|~v1_funct_2(X46,u1_struct_0(X45),u1_struct_0(k3_autgroup(X44)))|~v1_group_6(X46,X45,k3_autgroup(X44))|~m1_subset_1(X46,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X45),u1_struct_0(k3_autgroup(X44))))))|(v2_struct_0(X45)|~v2_group_1(X45)|~v3_group_1(X45)|~l3_algstr_0(X45))|(v2_struct_0(X44)|~v2_group_1(X44)|~v3_group_1(X44)|~l3_algstr_0(X44)))&((((((m1_subset_1(esk6_6(X44,X45,X46,X47,X48,X49),u1_struct_0(X44))|~m1_subset_1(X49,k4_card_3(k14_pralg_1(k2_tarski(np__1,np__2),k10_finseq_1(X44,X45))))|~m1_subset_1(X48,k4_card_3(k14_pralg_1(k2_tarski(np__1,np__2),k10_finseq_1(X44,X45))))|X47!=k1_group_24(X44,X45,X46)|(v2_struct_0(X47)|~v15_algstr_0(X47)|~l3_algstr_0(X47))|(~v1_funct_1(X46)|~v1_funct_2(X46,u1_struct_0(X45),u1_struct_0(k3_autgroup(X44)))|~v1_group_6(X46,X45,k3_autgroup(X44))|~m1_subset_1(X46,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X45),u1_struct_0(k3_autgroup(X44))))))|(v2_struct_0(X45)|~v2_group_1(X45)|~v3_group_1(X45)|~l3_algstr_0(X45))|(v2_struct_0(X44)|~v2_group_1(X44)|~v3_group_1(X44)|~l3_algstr_0(X44)))&(esk4_6(X44,X45,X46,X47,X48,X49)=k1_binop_1(u2_algstr_0(X47),X48,X49)|~m1_subset_1(X49,k4_card_3(k14_pralg_1(k2_tarski(np__1,np__2),k10_finseq_1(X44,X45))))|~m1_subset_1(X48,k4_card_3(k14_pralg_1(k2_tarski(np__1,np__2),k10_finseq_1(X44,X45))))|X47!=k1_group_24(X44,X45,X46)|(v2_struct_0(X47)|~v15_algstr_0(X47)|~l3_algstr_0(X47))|(~v1_funct_1(X46)|~v1_funct_2(X46,u1_struct_0(X45),u1_struct_0(k3_autgroup(X44)))|~v1_group_6(X46,X45,k3_autgroup(X44))|~m1_subset_1(X46,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X45),u1_struct_0(k3_autgroup(X44))))))|(v2_struct_0(X45)|~v2_group_1(X45)|~v3_group_1(X45)|~l3_algstr_0(X45))|(v2_struct_0(X44)|~v2_group_1(X44)|~v3_group_1(X44)|~l3_algstr_0(X44))))&(esk5_6(X44,X45,X46,X47,X48,X49)=k1_funct_1(X48,np__2)|~m1_subset_1(X49,k4_card_3(k14_pralg_1(k2_tarski(np__1,np__2),k10_finseq_1(X44,X45))))|~m1_subset_1(X48,k4_card_3(k14_pralg_1(k2_tarski(np__1,np__2),k10_finseq_1(X44,X45))))|X47!=k1_group_24(X44,X45,X46)|(v2_struct_0(X47)|~v15_algstr_0(X47)|~l3_algstr_0(X47))|(~v1_funct_1(X46)|~v1_funct_2(X46,u1_struct_0(X45),u1_struct_0(k3_autgroup(X44)))|~v1_group_6(X46,X45,k3_autgroup(X44))|~m1_subset_1(X46,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X45),u1_struct_0(k3_autgroup(X44))))))|(v2_struct_0(X45)|~v2_group_1(X45)|~v3_group_1(X45)|~l3_algstr_0(X45))|(v2_struct_0(X44)|~v2_group_1(X44)|~v3_group_1(X44)|~l3_algstr_0(X44))))&(esk6_6(X44,X45,X46,X47,X48,X49)=k1_funct_1(X49,np__1)|~m1_subset_1(X49,k4_card_3(k14_pralg_1(k2_tarski(np__1,np__2),k10_finseq_1(X44,X45))))|~m1_subset_1(X48,k4_card_3(k14_pralg_1(k2_tarski(np__1,np__2),k10_finseq_1(X44,X45))))|X47!=k1_group_24(X44,X45,X46)|(v2_struct_0(X47)|~v15_algstr_0(X47)|~l3_algstr_0(X47))|(~v1_funct_1(X46)|~v1_funct_2(X46,u1_struct_0(X45),u1_struct_0(k3_autgroup(X44)))|~v1_group_6(X46,X45,k3_autgroup(X44))|~m1_subset_1(X46,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X45),u1_struct_0(k3_autgroup(X44))))))|(v2_struct_0(X45)|~v2_group_1(X45)|~v3_group_1(X45)|~l3_algstr_0(X45))|(v2_struct_0(X44)|~v2_group_1(X44)|~v3_group_1(X44)|~l3_algstr_0(X44))))&(k1_funct_1(esk4_6(X44,X45,X46,X47,X48,X49),np__1)=k1_binop_1(u2_algstr_0(X44),k1_funct_1(X48,np__1),k1_funct_1(k3_funct_2(u1_struct_0(X45),u1_struct_0(k3_autgroup(X44)),X46,esk5_6(X44,X45,X46,X47,X48,X49)),esk6_6(X44,X45,X46,X47,X48,X49)))|~m1_subset_1(X49,k4_card_3(k14_pralg_1(k2_tarski(np__1,np__2),k10_finseq_1(X44,X45))))|~m1_subset_1(X48,k4_card_3(k14_pralg_1(k2_tarski(np__1,np__2),k10_finseq_1(X44,X45))))|X47!=k1_group_24(X44,X45,X46)|(v2_struct_0(X47)|~v15_algstr_0(X47)|~l3_algstr_0(X47))|(~v1_funct_1(X46)|~v1_funct_2(X46,u1_struct_0(X45),u1_struct_0(k3_autgroup(X44)))|~v1_group_6(X46,X45,k3_autgroup(X44))|~m1_subset_1(X46,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X45),u1_struct_0(k3_autgroup(X44))))))|(v2_struct_0(X45)|~v2_group_1(X45)|~v3_group_1(X45)|~l3_algstr_0(X45))|(v2_struct_0(X44)|~v2_group_1(X44)|~v3_group_1(X44)|~l3_algstr_0(X44))))&(k1_funct_1(esk4_6(X44,X45,X46,X47,X48,X49),np__2)=k1_binop_1(u2_algstr_0(X45),k1_funct_1(X48,np__2),k1_funct_1(X49,np__2))|~m1_subset_1(X49,k4_card_3(k14_pralg_1(k2_tarski(np__1,np__2),k10_finseq_1(X44,X45))))|~m1_subset_1(X48,k4_card_3(k14_pralg_1(k2_tarski(np__1,np__2),k10_finseq_1(X44,X45))))|X47!=k1_group_24(X44,X45,X46)|(v2_struct_0(X47)|~v15_algstr_0(X47)|~l3_algstr_0(X47))|(~v1_funct_1(X46)|~v1_funct_2(X46,u1_struct_0(X45),u1_struct_0(k3_autgroup(X44)))|~v1_group_6(X46,X45,k3_autgroup(X44))|~m1_subset_1(X46,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X45),u1_struct_0(k3_autgroup(X44))))))|(v2_struct_0(X45)|~v2_group_1(X45)|~v3_group_1(X45)|~l3_algstr_0(X45))|(v2_struct_0(X44)|~v2_group_1(X44)|~v3_group_1(X44)|~l3_algstr_0(X44)))))))&((m1_subset_1(esk7_4(X44,X45,X46,X47),k4_card_3(k14_pralg_1(k2_tarski(np__1,np__2),k10_finseq_1(X44,X45))))|u1_struct_0(X47)!=k4_card_3(k14_pralg_1(k2_tarski(np__1,np__2),k10_finseq_1(X44,X45)))|X47=k1_group_24(X44,X45,X46)|(v2_struct_0(X47)|~v15_algstr_0(X47)|~l3_algstr_0(X47))|(~v1_funct_1(X46)|~v1_funct_2(X46,u1_struct_0(X45),u1_struct_0(k3_autgroup(X44)))|~v1_group_6(X46,X45,k3_autgroup(X44))|~m1_subset_1(X46,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X45),u1_struct_0(k3_autgroup(X44))))))|(v2_struct_0(X45)|~v2_group_1(X45)|~v3_group_1(X45)|~l3_algstr_0(X45))|(v2_struct_0(X44)|~v2_group_1(X44)|~v3_group_1(X44)|~l3_algstr_0(X44)))&((m1_subset_1(esk8_4(X44,X45,X46,X47),k4_card_3(k14_pralg_1(k2_tarski(np__1,np__2),k10_finseq_1(X44,X45))))|u1_struct_0(X47)!=k4_card_3(k14_pralg_1(k2_tarski(np__1,np__2),k10_finseq_1(X44,X45)))|X47=k1_group_24(X44,X45,X46)|(v2_struct_0(X47)|~v15_algstr_0(X47)|~l3_algstr_0(X47))|(~v1_funct_1(X46)|~v1_funct_2(X46,u1_struct_0(X45),u1_struct_0(k3_autgroup(X44)))|~v1_group_6(X46,X45,k3_autgroup(X44))|~m1_subset_1(X46,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X45),u1_struct_0(k3_autgroup(X44))))))|(v2_struct_0(X45)|~v2_group_1(X45)|~v3_group_1(X45)|~l3_algstr_0(X45))|(v2_struct_0(X44)|~v2_group_1(X44)|~v3_group_1(X44)|~l3_algstr_0(X44)))&(~v1_relat_1(X55)|~v1_funct_1(X55)|(~m1_subset_1(X56,u1_struct_0(X45))|(~m1_subset_1(X57,u1_struct_0(X44))|X55!=k1_binop_1(u2_algstr_0(X47),esk7_4(X44,X45,X46,X47),esk8_4(X44,X45,X46,X47))|X56!=k1_funct_1(esk7_4(X44,X45,X46,X47),np__2)|X57!=k1_funct_1(esk8_4(X44,X45,X46,X47),np__1)|k1_funct_1(X55,np__1)!=k1_binop_1(u2_algstr_0(X44),k1_funct_1(esk7_4(X44,X45,X46,X47),np__1),k1_funct_1(k3_funct_2(u1_struct_0(X45),u1_struct_0(k3_autgroup(X44)),X46,X56),X57))|k1_funct_1(X55,np__2)!=k1_binop_1(u2_algstr_0(X45),k1_funct_1(esk7_4(X44,X45,X46,X47),np__2),k1_funct_1(esk8_4(X44,X45,X46,X47),np__2))))|u1_struct_0(X47)!=k4_card_3(k14_pralg_1(k2_tarski(np__1,np__2),k10_finseq_1(X44,X45)))|X47=k1_group_24(X44,X45,X46)|(v2_struct_0(X47)|~v15_algstr_0(X47)|~l3_algstr_0(X47))|(~v1_funct_1(X46)|~v1_funct_2(X46,u1_struct_0(X45),u1_struct_0(k3_autgroup(X44)))|~v1_group_6(X46,X45,k3_autgroup(X44))|~m1_subset_1(X46,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X45),u1_struct_0(k3_autgroup(X44))))))|(v2_struct_0(X45)|~v2_group_1(X45)|~v3_group_1(X45)|~l3_algstr_0(X45))|(v2_struct_0(X44)|~v2_group_1(X44)|~v3_group_1(X44)|~l3_algstr_0(X44)))))), 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)],[c_0_18])])])])])])).
fof(c_0_27, plain, ![X71, X72, X73]:(((~v2_struct_0(k1_group_24(X71,X72,X73))|(v2_struct_0(X71)|~v2_group_1(X71)|~v3_group_1(X71)|~l3_algstr_0(X71)|v2_struct_0(X72)|~v2_group_1(X72)|~v3_group_1(X72)|~l3_algstr_0(X72)|~v1_funct_1(X73)|~v1_funct_2(X73,u1_struct_0(X72),u1_struct_0(k3_autgroup(X71)))|~v1_group_6(X73,X72,k3_autgroup(X71))|~m1_subset_1(X73,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X72),u1_struct_0(k3_autgroup(X71)))))))&(v15_algstr_0(k1_group_24(X71,X72,X73))|(v2_struct_0(X71)|~v2_group_1(X71)|~v3_group_1(X71)|~l3_algstr_0(X71)|v2_struct_0(X72)|~v2_group_1(X72)|~v3_group_1(X72)|~l3_algstr_0(X72)|~v1_funct_1(X73)|~v1_funct_2(X73,u1_struct_0(X72),u1_struct_0(k3_autgroup(X71)))|~v1_group_6(X73,X72,k3_autgroup(X71))|~m1_subset_1(X73,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X72),u1_struct_0(k3_autgroup(X71))))))))&(l3_algstr_0(k1_group_24(X71,X72,X73))|(v2_struct_0(X71)|~v2_group_1(X71)|~v3_group_1(X71)|~l3_algstr_0(X71)|v2_struct_0(X72)|~v2_group_1(X72)|~v3_group_1(X72)|~l3_algstr_0(X72)|~v1_funct_1(X73)|~v1_funct_2(X73,u1_struct_0(X72),u1_struct_0(k3_autgroup(X71)))|~v1_group_6(X73,X72,k3_autgroup(X71))|~m1_subset_1(X73,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X72),u1_struct_0(k3_autgroup(X71)))))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_19])])])).
cnf(c_0_28, negated_conjecture, (k4_card_3(k14_pralg_1(k2_tarski(np__1,np__2),k10_finseq_1(esk1_0,esk2_0)))!=u1_struct_0(k1_group_24(esk1_0,esk2_0,esk3_0))|~v1_group_7(k10_finseq_1(esk1_0,esk2_0))|~v1_partfun1(k10_finseq_1(esk1_0,esk2_0),k2_tarski(np__1,np__2))|~v4_relat_1(k10_finseq_1(esk1_0,esk2_0),k2_tarski(np__1,np__2))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20, c_0_21]), c_0_22]), c_0_23])])).
cnf(c_0_29, plain, (v1_partfun1(k10_finseq_1(X1,X2),k2_tarski(np__1,np__2))|v2_struct_0(X1)|v2_struct_0(X2)|~l3_algstr_0(X1)|~l3_algstr_0(X2)), inference(split_conjunct,[status(thm)],[c_0_24])).
cnf(c_0_30, negated_conjecture, (l3_algstr_0(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_12])).
cnf(c_0_31, negated_conjecture, (l3_algstr_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_12])).
cnf(c_0_32, negated_conjecture, (~v2_struct_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_12])).
cnf(c_0_33, negated_conjecture, (~v2_struct_0(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_12])).
fof(c_0_34, plain, ![X76, X77]:(v2_struct_0(X76)|~l3_algstr_0(X76)|v2_struct_0(X77)|~l3_algstr_0(X77)|v4_relat_1(k10_finseq_1(X76,X77),k2_tarski(np__1,np__2))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_25])])).
cnf(c_0_35, plain, (u1_struct_0(X1)=k4_card_3(k14_pralg_1(k2_tarski(np__1,np__2),k10_finseq_1(X2,X3)))|v2_struct_0(X1)|v2_struct_0(X3)|v2_struct_0(X2)|X1!=k1_group_24(X2,X3,X4)|~v15_algstr_0(X1)|~l3_algstr_0(X1)|~v1_funct_1(X4)|~v1_funct_2(X4,u1_struct_0(X3),u1_struct_0(k3_autgroup(X2)))|~v1_group_6(X4,X3,k3_autgroup(X2))|~m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X3),u1_struct_0(k3_autgroup(X2)))))|~v2_group_1(X3)|~v3_group_1(X3)|~l3_algstr_0(X3)|~v2_group_1(X2)|~v3_group_1(X2)|~l3_algstr_0(X2)), inference(split_conjunct,[status(thm)],[c_0_26])).
cnf(c_0_36, negated_conjecture, (m1_subset_1(esk3_0,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(esk2_0),u1_struct_0(k3_autgroup(esk1_0)))))), inference(split_conjunct,[status(thm)],[c_0_12])).
cnf(c_0_37, negated_conjecture, (v1_group_6(esk3_0,esk2_0,k3_autgroup(esk1_0))), inference(split_conjunct,[status(thm)],[c_0_12])).
cnf(c_0_38, negated_conjecture, (v1_funct_2(esk3_0,u1_struct_0(esk2_0),u1_struct_0(k3_autgroup(esk1_0)))), inference(split_conjunct,[status(thm)],[c_0_12])).
cnf(c_0_39, negated_conjecture, (v1_funct_1(esk3_0)), inference(split_conjunct,[status(thm)],[c_0_12])).
cnf(c_0_40, negated_conjecture, (v3_group_1(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_12])).
cnf(c_0_41, negated_conjecture, (v3_group_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_12])).
cnf(c_0_42, negated_conjecture, (v2_group_1(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_12])).
cnf(c_0_43, negated_conjecture, (v2_group_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_12])).
cnf(c_0_44, plain, (v15_algstr_0(k1_group_24(X1,X2,X3))|v2_struct_0(X1)|v2_struct_0(X2)|~v2_group_1(X1)|~v3_group_1(X1)|~l3_algstr_0(X1)|~v2_group_1(X2)|~v3_group_1(X2)|~l3_algstr_0(X2)|~v1_funct_1(X3)|~v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(k3_autgroup(X1)))|~v1_group_6(X3,X2,k3_autgroup(X1))|~m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X2),u1_struct_0(k3_autgroup(X1)))))), inference(split_conjunct,[status(thm)],[c_0_27])).
cnf(c_0_45, plain, (l3_algstr_0(k1_group_24(X1,X2,X3))|v2_struct_0(X1)|v2_struct_0(X2)|~v2_group_1(X1)|~v3_group_1(X1)|~l3_algstr_0(X1)|~v2_group_1(X2)|~v3_group_1(X2)|~l3_algstr_0(X2)|~v1_funct_1(X3)|~v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(k3_autgroup(X1)))|~v1_group_6(X3,X2,k3_autgroup(X1))|~m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X2),u1_struct_0(k3_autgroup(X1)))))), inference(split_conjunct,[status(thm)],[c_0_27])).
cnf(c_0_46, plain, (v2_struct_0(X1)|v2_struct_0(X2)|~v2_struct_0(k1_group_24(X1,X2,X3))|~v2_group_1(X1)|~v3_group_1(X1)|~l3_algstr_0(X1)|~v2_group_1(X2)|~v3_group_1(X2)|~l3_algstr_0(X2)|~v1_funct_1(X3)|~v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(k3_autgroup(X1)))|~v1_group_6(X3,X2,k3_autgroup(X1))|~m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X2),u1_struct_0(k3_autgroup(X1)))))), inference(split_conjunct,[status(thm)],[c_0_27])).
cnf(c_0_47, negated_conjecture, (k4_card_3(k14_pralg_1(k2_tarski(np__1,np__2),k10_finseq_1(esk1_0,esk2_0)))!=u1_struct_0(k1_group_24(esk1_0,esk2_0,esk3_0))|~v1_group_7(k10_finseq_1(esk1_0,esk2_0))|~v4_relat_1(k10_finseq_1(esk1_0,esk2_0),k2_tarski(np__1,np__2))), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28, c_0_29]), c_0_30]), c_0_31])]), c_0_32]), c_0_33])).
cnf(c_0_48, plain, (v2_struct_0(X1)|v2_struct_0(X2)|v4_relat_1(k10_finseq_1(X1,X2),k2_tarski(np__1,np__2))|~l3_algstr_0(X1)|~l3_algstr_0(X2)), inference(split_conjunct,[status(thm)],[c_0_34])).
cnf(c_0_49, negated_conjecture, (u1_struct_0(X1)=k4_card_3(k14_pralg_1(k2_tarski(np__1,np__2),k10_finseq_1(esk1_0,esk2_0)))|v2_struct_0(X1)|X1!=k1_group_24(esk1_0,esk2_0,esk3_0)|~v15_algstr_0(X1)|~l3_algstr_0(X1)), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35, c_0_36]), c_0_37]), c_0_38]), c_0_39]), c_0_30]), c_0_31]), c_0_40]), c_0_41]), c_0_42]), c_0_43])]), c_0_32]), c_0_33])).
cnf(c_0_50, negated_conjecture, (v15_algstr_0(k1_group_24(esk1_0,esk2_0,esk3_0))), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44, c_0_36]), c_0_37]), c_0_38]), c_0_39]), c_0_30]), c_0_31]), c_0_40]), c_0_41]), c_0_42]), c_0_43])]), c_0_32]), c_0_33])).
cnf(c_0_51, negated_conjecture, (l3_algstr_0(k1_group_24(esk1_0,esk2_0,esk3_0))), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45, c_0_36]), c_0_37]), c_0_38]), c_0_39]), c_0_30]), c_0_31]), c_0_40]), c_0_41]), c_0_42]), c_0_43])]), c_0_32]), c_0_33])).
cnf(c_0_52, negated_conjecture, (~v2_struct_0(k1_group_24(esk1_0,esk2_0,esk3_0))), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46, c_0_36]), c_0_37]), c_0_38]), c_0_39]), c_0_30]), c_0_31]), c_0_40]), c_0_41]), c_0_42]), c_0_43])]), c_0_32]), c_0_33])).
cnf(c_0_53, negated_conjecture, (k4_card_3(k14_pralg_1(k2_tarski(np__1,np__2),k10_finseq_1(esk1_0,esk2_0)))!=u1_struct_0(k1_group_24(esk1_0,esk2_0,esk3_0))|~v1_group_7(k10_finseq_1(esk1_0,esk2_0))), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47, c_0_48]), c_0_30]), c_0_31])]), c_0_32]), c_0_33])).
cnf(c_0_54, negated_conjecture, (k4_card_3(k14_pralg_1(k2_tarski(np__1,np__2),k10_finseq_1(esk1_0,esk2_0)))=u1_struct_0(k1_group_24(esk1_0,esk2_0,esk3_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_49]), c_0_50]), c_0_51])]), c_0_52])).
cnf(c_0_55, negated_conjecture, (~v1_group_7(k10_finseq_1(esk1_0,esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_53, c_0_54])])).
cnf(c_0_56, 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_24])).
cnf(c_0_57, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(sr,[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_30]), c_0_31])]), c_0_32]), c_0_33]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 58
# Proof object clause steps            : 36
# Proof object formula steps           : 22
# Proof object conjectures             : 26
# Proof object clause conjectures      : 23
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 25
# Proof object initial formulas used   : 8
# Proof object generating inferences   : 10
# Proof object simplifying inferences  : 74
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 8
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 48
# Removed in clause preprocessing      : 0
# Initial clauses in saturation        : 48
# Processed clauses                    : 41
# ...of these trivial                  : 0
# ...subsumed                          : 0
# ...remaining for further processing  : 41
# Other redundant clauses eliminated   : 0
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 2
# Backward-rewritten                   : 2
# Generated clauses                    : 16
# ...of the previous two non-trivial   : 17
# Contextual simplify-reflections      : 2
# Paramodulations                      : 14
# Factorizations                       : 0
# NegExts                              : 0
# Equation resolutions                 : 2
# 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  : 37
#    Positive orientable unit clauses  : 15
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 5
#    Non-unit-clauses                  : 17
# Current number of unprocessed clauses: 24
# ...number of literals in the above   : 394
# Current number of archived formulas  : 0
# Current number of archived clauses   : 4
# Clause-clause subsumption calls (NU) : 187
# Rec. Clause-clause subsumption calls : 4
# Non-unit clause-clause subsumptions  : 4
# Unit Clause-clause subsumption calls : 5
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 2
# BW rewrite match successes           : 1
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 8340

# -------------------------------------------------
# User time                : 0.020 s
# System time              : 0.004 s
# Total time               : 0.024 s
# Maximum resident set size: 3420 pages
