# No SInE strategy applied
# Trying AutoSched0 for 161 seconds
# AutoSched0-Mode selected heuristic G_E___302_C18_F1_URBAN_RG_S04BN
# and selection function PSelectComplexExceptUniqMaxHorn.
#
# Preprocessing time       : 0.027 s

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(t25_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]:(m1_subset_1(X4,u1_struct_0(k1_group_24(X1,X2,X3)))=>((r1_struct_0(X1,k1_funct_1(X4,np__1))&r1_struct_0(X2,k1_funct_1(X4,np__2)))&k1_relset_1(k4_ordinal1,X4)=k2_tarski(np__1,np__2)))))), file('group_24/group_24__t26_group_24', t25_group_24)).
fof(t1_subset, axiom, ![X1, X2]:(r2_tarski(X1,X2)=>m1_subset_1(X1,X2)), file('group_24/group_24__t26_group_24', t1_subset)).
fof(redefinition_r2_tarski, axiom, ![X1, X2]:(r2_tarski(X1,X2)<=>r2_hidden(X1,X2)), file('group_24/group_24__t26_group_24', redefinition_r2_tarski)).
fof(t26_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))))))=>![X4]:(m1_subset_1(X4,u1_struct_0(k1_group_24(X1,X2,X3)))=>?[X5]:(m1_subset_1(X5,u1_struct_0(X1))&?[X6]:(m1_subset_1(X6,u1_struct_0(X2))&X4=k5_group_7(X1,X2,X5,X6))))))), file('group_24/group_24__t26_group_24', t26_group_24)).
fof(cc1_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))))))=>![X4]:(m1_subset_1(X4,u1_struct_0(k1_group_24(X1,X2,X3)))=>v1_finseq_1(X4))), file('group_24/group_24__t26_group_24', cc1_group_24)).
fof(fc2_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)))&v1_monoid_0(k1_group_24(X1,X2,X3)))), file('group_24/group_24__t26_group_24', fc2_group_24)).
fof(d5_struct_0, axiom, ![X1]:(l1_struct_0(X1)=>![X2]:(r1_struct_0(X1,X2)<=>r2_hidden(X2,u1_struct_0(X1)))), file('group_24/group_24__t26_group_24', d5_struct_0)).
fof(redefinition_k1_relset_1, axiom, ![X1, X2]:((v1_relat_1(X2)&v4_relat_1(X2,X1))=>k1_relset_1(X1,X2)=k9_xtuple_0(X2)), file('group_24/group_24__t26_group_24', redefinition_k1_relset_1)).
fof(cc5_finseq_1, axiom, ![X1]:(((v1_relat_1(X1)&v1_funct_1(X1))&v1_finseq_1(X1))=>(((v1_relat_1(X1)&v4_relat_1(X1,k4_ordinal1))&v1_funct_1(X1))&v1_finseq_1(X1))), file('group_24/group_24__t26_group_24', cc5_finseq_1)).
fof(t2_finseq_1, axiom, (k2_finseq_1(np__1)=k1_tarski(np__1)&k2_finseq_1(np__2)=k2_tarski(np__1,np__2)), file('group_24/group_24__t26_group_24', t2_finseq_1)).
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__t26_group_24', dt_k1_group_24)).
fof(cc1_monoid_0, axiom, ![X1]:((v1_monoid_0(X1)&l1_struct_0(X1))=>![X2]:(m1_subset_1(X2,u1_struct_0(X1))=>(v1_relat_1(X2)&v1_funct_1(X2)))), file('group_24/group_24__t26_group_24', cc1_monoid_0)).
fof(t44_finseq_1, axiom, ![X1]:(((v1_relat_1(X1)&v1_funct_1(X1))&v1_finseq_1(X1))=>![X2, X3]:(X1=k10_finseq_1(X2,X3)<=>((k3_finseq_1(X1)=np__2&k1_funct_1(X1,np__1)=X2)&k1_funct_1(X1,np__2)=X3))), file('group_24/group_24__t26_group_24', t44_finseq_1)).
fof(d3_finseq_1, axiom, ![X1]:(((v1_relat_1(X1)&v1_funct_1(X1))&v1_finseq_1(X1))=>![X2]:(m1_subset_1(X2,k4_ordinal1)=>(X2=k3_finseq_1(X1)<=>k2_finseq_1(X2)=k9_xtuple_0(X1)))), file('group_24/group_24__t26_group_24', d3_finseq_1)).
fof(dt_l3_algstr_0, axiom, ![X1]:(l3_algstr_0(X1)=>l1_struct_0(X1)), file('group_24/group_24__t26_group_24', dt_l3_algstr_0)).
fof(redefinition_k5_group_7, axiom, ![X1, X2, X3, X4]:((((((~(v2_struct_0(X1))&l3_algstr_0(X1))&~(v2_struct_0(X2)))&l3_algstr_0(X2))&m1_subset_1(X3,u1_struct_0(X1)))&m1_subset_1(X4,u1_struct_0(X2)))=>k5_group_7(X1,X2,X3,X4)=k10_finseq_1(X3,X4)), file('group_24/group_24__t26_group_24', redefinition_k5_group_7)).
fof(spc2_numerals, axiom, (v2_xxreal_0(np__2)&m1_subset_1(np__2,k4_ordinal1)), file('group_24/group_24__t26_group_24', spc2_numerals)).
fof(c_0_17, 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]:(m1_subset_1(X4,u1_struct_0(k1_group_24(X1,X2,X3)))=>((r1_struct_0(X1,k1_funct_1(X4,np__1))&r1_struct_0(X2,k1_funct_1(X4,np__2)))&k1_relset_1(k4_ordinal1,X4)=k2_tarski(np__1,np__2)))))), inference(fof_simplification,[status(thm)],[t25_group_24])).
fof(c_0_18, plain, ![X80, X81]:(~r2_tarski(X80,X81)|m1_subset_1(X80,X81)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t1_subset])])).
fof(c_0_19, plain, ![X78, X79]:((~r2_tarski(X78,X79)|r2_hidden(X78,X79))&(~r2_hidden(X78,X79)|r2_tarski(X78,X79))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_r2_tarski])])).
fof(c_0_20, 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))))))=>![X4]:(m1_subset_1(X4,u1_struct_0(k1_group_24(X1,X2,X3)))=>?[X5]:(m1_subset_1(X5,u1_struct_0(X1))&?[X6]:(m1_subset_1(X6,u1_struct_0(X2))&X4=k5_group_7(X1,X2,X5,X6)))))))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t26_group_24])])).
fof(c_0_21, plain, ![X82, X83, X84, X85]:(((r1_struct_0(X82,k1_funct_1(X85,np__1))|~m1_subset_1(X85,u1_struct_0(k1_group_24(X82,X83,X84)))|(~v1_funct_1(X84)|~v1_funct_2(X84,u1_struct_0(X83),u1_struct_0(k3_autgroup(X82)))|~v1_group_6(X84,X83,k3_autgroup(X82))|~m1_subset_1(X84,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X83),u1_struct_0(k3_autgroup(X82))))))|(v2_struct_0(X83)|~v2_group_1(X83)|~v3_group_1(X83)|~l3_algstr_0(X83))|(v2_struct_0(X82)|~v2_group_1(X82)|~v3_group_1(X82)|~l3_algstr_0(X82)))&(r1_struct_0(X83,k1_funct_1(X85,np__2))|~m1_subset_1(X85,u1_struct_0(k1_group_24(X82,X83,X84)))|(~v1_funct_1(X84)|~v1_funct_2(X84,u1_struct_0(X83),u1_struct_0(k3_autgroup(X82)))|~v1_group_6(X84,X83,k3_autgroup(X82))|~m1_subset_1(X84,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X83),u1_struct_0(k3_autgroup(X82))))))|(v2_struct_0(X83)|~v2_group_1(X83)|~v3_group_1(X83)|~l3_algstr_0(X83))|(v2_struct_0(X82)|~v2_group_1(X82)|~v3_group_1(X82)|~l3_algstr_0(X82))))&(k1_relset_1(k4_ordinal1,X85)=k2_tarski(np__1,np__2)|~m1_subset_1(X85,u1_struct_0(k1_group_24(X82,X83,X84)))|(~v1_funct_1(X84)|~v1_funct_2(X84,u1_struct_0(X83),u1_struct_0(k3_autgroup(X82)))|~v1_group_6(X84,X83,k3_autgroup(X82))|~m1_subset_1(X84,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X83),u1_struct_0(k3_autgroup(X82))))))|(v2_struct_0(X83)|~v2_group_1(X83)|~v3_group_1(X83)|~l3_algstr_0(X83))|(v2_struct_0(X82)|~v2_group_1(X82)|~v3_group_1(X82)|~l3_algstr_0(X82)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_17])])])])).
fof(c_0_22, 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))))))=>![X4]:(m1_subset_1(X4,u1_struct_0(k1_group_24(X1,X2,X3)))=>v1_finseq_1(X4))), inference(fof_simplification,[status(thm)],[cc1_group_24])).
fof(c_0_23, 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)))&v1_monoid_0(k1_group_24(X1,X2,X3)))), inference(fof_simplification,[status(thm)],[fc2_group_24])).
cnf(c_0_24, plain, (m1_subset_1(X1,X2)|~r2_tarski(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_18])).
cnf(c_0_25, plain, (r2_tarski(X1,X2)|~r2_hidden(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_19])).
fof(c_0_26, plain, ![X63, X64]:((~r1_struct_0(X63,X64)|r2_hidden(X64,u1_struct_0(X63))|~l1_struct_0(X63))&(~r2_hidden(X64,u1_struct_0(X63))|r1_struct_0(X63,X64)|~l1_struct_0(X63))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d5_struct_0])])])])).
fof(c_0_27, negated_conjecture, ![X52, X53]:((((~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))))))&(m1_subset_1(esk4_0,u1_struct_0(k1_group_24(esk1_0,esk2_0,esk3_0)))&(~m1_subset_1(X52,u1_struct_0(esk1_0))|(~m1_subset_1(X53,u1_struct_0(esk2_0))|esk4_0!=k5_group_7(esk1_0,esk2_0,X52,X53))))))), inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_20])])])])).
fof(c_0_28, plain, ![X72, X73]:(~v1_relat_1(X73)|~v4_relat_1(X73,X72)|k1_relset_1(X72,X73)=k9_xtuple_0(X73)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k1_relset_1])])).
fof(c_0_29, plain, ![X60]:((((v1_relat_1(X60)|(~v1_relat_1(X60)|~v1_funct_1(X60)|~v1_finseq_1(X60)))&(v4_relat_1(X60,k4_ordinal1)|(~v1_relat_1(X60)|~v1_funct_1(X60)|~v1_finseq_1(X60))))&(v1_funct_1(X60)|(~v1_relat_1(X60)|~v1_funct_1(X60)|~v1_finseq_1(X60))))&(v1_finseq_1(X60)|(~v1_relat_1(X60)|~v1_funct_1(X60)|~v1_finseq_1(X60)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc5_finseq_1])])])).
cnf(c_0_30, plain, (k1_relset_1(k4_ordinal1,X1)=k2_tarski(np__1,np__2)|v2_struct_0(X3)|v2_struct_0(X2)|~m1_subset_1(X1,u1_struct_0(k1_group_24(X2,X3,X4)))|~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_21])).
cnf(c_0_31, plain, (k2_finseq_1(np__2)=k2_tarski(np__1,np__2)), inference(split_conjunct,[status(thm)],[t2_finseq_1])).
fof(c_0_32, plain, ![X54, X55, X56, X57]:(v2_struct_0(X54)|~v2_group_1(X54)|~v3_group_1(X54)|~l3_algstr_0(X54)|v2_struct_0(X55)|~v2_group_1(X55)|~v3_group_1(X55)|~l3_algstr_0(X55)|~v1_funct_1(X56)|~v1_funct_2(X56,u1_struct_0(X55),u1_struct_0(k3_autgroup(X54)))|~v1_group_6(X56,X55,k3_autgroup(X54))|~m1_subset_1(X56,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X55),u1_struct_0(k3_autgroup(X54)))))|(~m1_subset_1(X57,u1_struct_0(k1_group_24(X54,X55,X56)))|v1_finseq_1(X57))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_22])])])).
fof(c_0_33, plain, ![X69, X70, X71]:(((~v2_struct_0(k1_group_24(X69,X70,X71))|(v2_struct_0(X69)|~v2_group_1(X69)|~v3_group_1(X69)|~l3_algstr_0(X69)|v2_struct_0(X70)|~v2_group_1(X70)|~v3_group_1(X70)|~l3_algstr_0(X70)|~v1_funct_1(X71)|~v1_funct_2(X71,u1_struct_0(X70),u1_struct_0(k3_autgroup(X69)))|~v1_group_6(X71,X70,k3_autgroup(X69))|~m1_subset_1(X71,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X70),u1_struct_0(k3_autgroup(X69)))))))&(v15_algstr_0(k1_group_24(X69,X70,X71))|(v2_struct_0(X69)|~v2_group_1(X69)|~v3_group_1(X69)|~l3_algstr_0(X69)|v2_struct_0(X70)|~v2_group_1(X70)|~v3_group_1(X70)|~l3_algstr_0(X70)|~v1_funct_1(X71)|~v1_funct_2(X71,u1_struct_0(X70),u1_struct_0(k3_autgroup(X69)))|~v1_group_6(X71,X70,k3_autgroup(X69))|~m1_subset_1(X71,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X70),u1_struct_0(k3_autgroup(X69))))))))&(v1_monoid_0(k1_group_24(X69,X70,X71))|(v2_struct_0(X69)|~v2_group_1(X69)|~v3_group_1(X69)|~l3_algstr_0(X69)|v2_struct_0(X70)|~v2_group_1(X70)|~v3_group_1(X70)|~l3_algstr_0(X70)|~v1_funct_1(X71)|~v1_funct_2(X71,u1_struct_0(X70),u1_struct_0(k3_autgroup(X69)))|~v1_group_6(X71,X70,k3_autgroup(X69))|~m1_subset_1(X71,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X70),u1_struct_0(k3_autgroup(X69)))))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_23])])])).
fof(c_0_34, 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])).
fof(c_0_35, plain, ![X58, X59]:((v1_relat_1(X59)|~m1_subset_1(X59,u1_struct_0(X58))|(~v1_monoid_0(X58)|~l1_struct_0(X58)))&(v1_funct_1(X59)|~m1_subset_1(X59,u1_struct_0(X58))|(~v1_monoid_0(X58)|~l1_struct_0(X58)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_monoid_0])])])])).
cnf(c_0_36, plain, (m1_subset_1(X1,X2)|~r2_hidden(X1,X2)), inference(spm,[status(thm)],[c_0_24, c_0_25])).
cnf(c_0_37, plain, (r2_hidden(X2,u1_struct_0(X1))|~r1_struct_0(X1,X2)|~l1_struct_0(X1)), inference(split_conjunct,[status(thm)],[c_0_26])).
cnf(c_0_38, plain, (r1_struct_0(X1,k1_funct_1(X2,np__1))|v2_struct_0(X3)|v2_struct_0(X1)|~m1_subset_1(X2,u1_struct_0(k1_group_24(X1,X3,X4)))|~v1_funct_1(X4)|~v1_funct_2(X4,u1_struct_0(X3),u1_struct_0(k3_autgroup(X1)))|~v1_group_6(X4,X3,k3_autgroup(X1))|~m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X3),u1_struct_0(k3_autgroup(X1)))))|~v2_group_1(X3)|~v3_group_1(X3)|~l3_algstr_0(X3)|~v2_group_1(X1)|~v3_group_1(X1)|~l3_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_21])).
cnf(c_0_39, 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_27])).
cnf(c_0_40, negated_conjecture, (v1_group_6(esk3_0,esk2_0,k3_autgroup(esk1_0))), inference(split_conjunct,[status(thm)],[c_0_27])).
cnf(c_0_41, 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_27])).
cnf(c_0_42, negated_conjecture, (v1_funct_1(esk3_0)), inference(split_conjunct,[status(thm)],[c_0_27])).
cnf(c_0_43, negated_conjecture, (l3_algstr_0(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_27])).
cnf(c_0_44, negated_conjecture, (l3_algstr_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_27])).
cnf(c_0_45, negated_conjecture, (v3_group_1(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_27])).
cnf(c_0_46, negated_conjecture, (v3_group_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_27])).
cnf(c_0_47, negated_conjecture, (v2_group_1(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_27])).
cnf(c_0_48, negated_conjecture, (v2_group_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_27])).
cnf(c_0_49, negated_conjecture, (~v2_struct_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_27])).
cnf(c_0_50, negated_conjecture, (~v2_struct_0(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_27])).
fof(c_0_51, plain, ![X86, X87, X88]:((((k3_finseq_1(X86)=np__2|X86!=k10_finseq_1(X87,X88)|(~v1_relat_1(X86)|~v1_funct_1(X86)|~v1_finseq_1(X86)))&(k1_funct_1(X86,np__1)=X87|X86!=k10_finseq_1(X87,X88)|(~v1_relat_1(X86)|~v1_funct_1(X86)|~v1_finseq_1(X86))))&(k1_funct_1(X86,np__2)=X88|X86!=k10_finseq_1(X87,X88)|(~v1_relat_1(X86)|~v1_funct_1(X86)|~v1_finseq_1(X86))))&(k3_finseq_1(X86)!=np__2|k1_funct_1(X86,np__1)!=X87|k1_funct_1(X86,np__2)!=X88|X86=k10_finseq_1(X87,X88)|(~v1_relat_1(X86)|~v1_funct_1(X86)|~v1_finseq_1(X86)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t44_finseq_1])])])])).
cnf(c_0_52, plain, (k1_relset_1(X2,X1)=k9_xtuple_0(X1)|~v1_relat_1(X1)|~v4_relat_1(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_28])).
cnf(c_0_53, plain, (v4_relat_1(X1,k4_ordinal1)|~v1_relat_1(X1)|~v1_funct_1(X1)|~v1_finseq_1(X1)), inference(split_conjunct,[status(thm)],[c_0_29])).
cnf(c_0_54, plain, (k1_relset_1(k4_ordinal1,X1)=k2_finseq_1(np__2)|v2_struct_0(X2)|v2_struct_0(X3)|~m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X3),u1_struct_0(k3_autgroup(X2)))))|~m1_subset_1(X1,u1_struct_0(k1_group_24(X2,X3,X4)))|~v1_group_6(X4,X3,k3_autgroup(X2))|~v1_funct_2(X4,u1_struct_0(X3),u1_struct_0(k3_autgroup(X2)))|~v1_funct_1(X4)|~l3_algstr_0(X3)|~l3_algstr_0(X2)|~v3_group_1(X3)|~v3_group_1(X2)|~v2_group_1(X3)|~v2_group_1(X2)), inference(rw,[status(thm)],[c_0_30, c_0_31])).
cnf(c_0_55, plain, (v2_struct_0(X1)|v2_struct_0(X2)|v1_finseq_1(X4)|~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)))))|~m1_subset_1(X4,u1_struct_0(k1_group_24(X1,X2,X3)))), inference(split_conjunct,[status(thm)],[c_0_32])).
cnf(c_0_56, plain, (v1_monoid_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_33])).
fof(c_0_57, plain, ![X65, X66, X67]:(((~v2_struct_0(k1_group_24(X65,X66,X67))|(v2_struct_0(X65)|~v2_group_1(X65)|~v3_group_1(X65)|~l3_algstr_0(X65)|v2_struct_0(X66)|~v2_group_1(X66)|~v3_group_1(X66)|~l3_algstr_0(X66)|~v1_funct_1(X67)|~v1_funct_2(X67,u1_struct_0(X66),u1_struct_0(k3_autgroup(X65)))|~v1_group_6(X67,X66,k3_autgroup(X65))|~m1_subset_1(X67,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X66),u1_struct_0(k3_autgroup(X65)))))))&(v15_algstr_0(k1_group_24(X65,X66,X67))|(v2_struct_0(X65)|~v2_group_1(X65)|~v3_group_1(X65)|~l3_algstr_0(X65)|v2_struct_0(X66)|~v2_group_1(X66)|~v3_group_1(X66)|~l3_algstr_0(X66)|~v1_funct_1(X67)|~v1_funct_2(X67,u1_struct_0(X66),u1_struct_0(k3_autgroup(X65)))|~v1_group_6(X67,X66,k3_autgroup(X65))|~m1_subset_1(X67,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X66),u1_struct_0(k3_autgroup(X65))))))))&(l3_algstr_0(k1_group_24(X65,X66,X67))|(v2_struct_0(X65)|~v2_group_1(X65)|~v3_group_1(X65)|~l3_algstr_0(X65)|v2_struct_0(X66)|~v2_group_1(X66)|~v3_group_1(X66)|~l3_algstr_0(X66)|~v1_funct_1(X67)|~v1_funct_2(X67,u1_struct_0(X66),u1_struct_0(k3_autgroup(X65)))|~v1_group_6(X67,X66,k3_autgroup(X65))|~m1_subset_1(X67,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X66),u1_struct_0(k3_autgroup(X65)))))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_34])])])).
cnf(c_0_58, plain, (v1_funct_1(X1)|~m1_subset_1(X1,u1_struct_0(X2))|~v1_monoid_0(X2)|~l1_struct_0(X2)), inference(split_conjunct,[status(thm)],[c_0_35])).
cnf(c_0_59, negated_conjecture, (m1_subset_1(esk4_0,u1_struct_0(k1_group_24(esk1_0,esk2_0,esk3_0)))), inference(split_conjunct,[status(thm)],[c_0_27])).
cnf(c_0_60, plain, (m1_subset_1(X1,u1_struct_0(X2))|~r1_struct_0(X2,X1)|~l1_struct_0(X2)), inference(spm,[status(thm)],[c_0_36, c_0_37])).
cnf(c_0_61, negated_conjecture, (r1_struct_0(esk1_0,k1_funct_1(X1,np__1))|~m1_subset_1(X1,u1_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_38, c_0_39]), c_0_40]), c_0_41]), c_0_42]), c_0_43]), c_0_44]), c_0_45]), c_0_46]), c_0_47]), c_0_48])]), c_0_49]), c_0_50])).
cnf(c_0_62, plain, (k1_funct_1(X1,np__1)=X2|X1!=k10_finseq_1(X2,X3)|~v1_relat_1(X1)|~v1_funct_1(X1)|~v1_finseq_1(X1)), inference(split_conjunct,[status(thm)],[c_0_51])).
fof(c_0_63, plain, ![X61, X62]:((X62!=k3_finseq_1(X61)|k2_finseq_1(X62)=k9_xtuple_0(X61)|~m1_subset_1(X62,k4_ordinal1)|(~v1_relat_1(X61)|~v1_funct_1(X61)|~v1_finseq_1(X61)))&(k2_finseq_1(X62)!=k9_xtuple_0(X61)|X62=k3_finseq_1(X61)|~m1_subset_1(X62,k4_ordinal1)|(~v1_relat_1(X61)|~v1_funct_1(X61)|~v1_finseq_1(X61)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d3_finseq_1])])])])).
cnf(c_0_64, plain, (k1_relset_1(k4_ordinal1,X1)=k9_xtuple_0(X1)|~v1_relat_1(X1)|~v1_finseq_1(X1)|~v1_funct_1(X1)), inference(spm,[status(thm)],[c_0_52, c_0_53])).
cnf(c_0_65, negated_conjecture, (k1_relset_1(k4_ordinal1,X1)=k2_finseq_1(np__2)|~m1_subset_1(X1,u1_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_54, c_0_39]), c_0_40]), c_0_41]), c_0_42]), c_0_43]), c_0_44]), c_0_45]), c_0_46]), c_0_47]), c_0_48])]), c_0_49]), c_0_50])).
cnf(c_0_66, negated_conjecture, (v1_finseq_1(X1)|~m1_subset_1(X1,u1_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_55, c_0_39]), c_0_40]), c_0_41]), c_0_42]), c_0_43]), c_0_44]), c_0_45]), c_0_46]), c_0_47]), c_0_48])]), c_0_49]), c_0_50])).
cnf(c_0_67, plain, (v1_relat_1(X1)|~m1_subset_1(X1,u1_struct_0(X2))|~v1_monoid_0(X2)|~l1_struct_0(X2)), inference(split_conjunct,[status(thm)],[c_0_35])).
cnf(c_0_68, negated_conjecture, (v1_monoid_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_56, c_0_39]), c_0_40]), c_0_41]), c_0_42]), c_0_43]), c_0_44]), c_0_45]), c_0_46]), c_0_47]), c_0_48])]), c_0_49]), c_0_50])).
fof(c_0_69, plain, ![X68]:(~l3_algstr_0(X68)|l1_struct_0(X68)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l3_algstr_0])])).
cnf(c_0_70, 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_57])).
cnf(c_0_71, negated_conjecture, (v1_funct_1(esk4_0)|~l1_struct_0(k1_group_24(esk1_0,esk2_0,esk3_0))|~v1_monoid_0(k1_group_24(esk1_0,esk2_0,esk3_0))), inference(spm,[status(thm)],[c_0_58, c_0_59])).
fof(c_0_72, plain, ![X1, X2, X3, X4]:((((((~v2_struct_0(X1)&l3_algstr_0(X1))&~v2_struct_0(X2))&l3_algstr_0(X2))&m1_subset_1(X3,u1_struct_0(X1)))&m1_subset_1(X4,u1_struct_0(X2)))=>k5_group_7(X1,X2,X3,X4)=k10_finseq_1(X3,X4)), inference(fof_simplification,[status(thm)],[redefinition_k5_group_7])).
cnf(c_0_73, plain, (r1_struct_0(X1,k1_funct_1(X2,np__2))|v2_struct_0(X1)|v2_struct_0(X3)|~m1_subset_1(X2,u1_struct_0(k1_group_24(X3,X1,X4)))|~v1_funct_1(X4)|~v1_funct_2(X4,u1_struct_0(X1),u1_struct_0(k3_autgroup(X3)))|~v1_group_6(X4,X1,k3_autgroup(X3))|~m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(k3_autgroup(X3)))))|~v2_group_1(X1)|~v3_group_1(X1)|~l3_algstr_0(X1)|~v2_group_1(X3)|~v3_group_1(X3)|~l3_algstr_0(X3)), inference(split_conjunct,[status(thm)],[c_0_21])).
cnf(c_0_74, negated_conjecture, (m1_subset_1(k1_funct_1(X1,np__1),u1_struct_0(esk1_0))|~l1_struct_0(esk1_0)|~m1_subset_1(X1,u1_struct_0(k1_group_24(esk1_0,esk2_0,esk3_0)))), inference(spm,[status(thm)],[c_0_60, c_0_61])).
cnf(c_0_75, plain, (k1_funct_1(k10_finseq_1(X1,X2),np__1)=X1|~v1_relat_1(k10_finseq_1(X1,X2))|~v1_finseq_1(k10_finseq_1(X1,X2))|~v1_funct_1(k10_finseq_1(X1,X2))), inference(er,[status(thm)],[c_0_62])).
cnf(c_0_76, plain, (X1=k10_finseq_1(X2,X3)|k3_finseq_1(X1)!=np__2|k1_funct_1(X1,np__1)!=X2|k1_funct_1(X1,np__2)!=X3|~v1_relat_1(X1)|~v1_funct_1(X1)|~v1_finseq_1(X1)), inference(split_conjunct,[status(thm)],[c_0_51])).
cnf(c_0_77, plain, (X1=k3_finseq_1(X2)|k2_finseq_1(X1)!=k9_xtuple_0(X2)|~m1_subset_1(X1,k4_ordinal1)|~v1_relat_1(X2)|~v1_funct_1(X2)|~v1_finseq_1(X2)), inference(split_conjunct,[status(thm)],[c_0_63])).
cnf(c_0_78, negated_conjecture, (k9_xtuple_0(X1)=k2_finseq_1(np__2)|~v1_relat_1(X1)|~m1_subset_1(X1,u1_struct_0(k1_group_24(esk1_0,esk2_0,esk3_0)))|~v1_funct_1(X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_64, c_0_65]), c_0_66])).
cnf(c_0_79, negated_conjecture, (v1_relat_1(esk4_0)|~l1_struct_0(k1_group_24(esk1_0,esk2_0,esk3_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67, c_0_59]), c_0_68])])).
cnf(c_0_80, plain, (l1_struct_0(X1)|~l3_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_69])).
cnf(c_0_81, 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_70, c_0_39]), c_0_40]), c_0_41]), c_0_42]), c_0_43]), c_0_44]), c_0_45]), c_0_46]), c_0_47]), c_0_48])]), c_0_49]), c_0_50])).
cnf(c_0_82, negated_conjecture, (v1_funct_1(esk4_0)|~l1_struct_0(k1_group_24(esk1_0,esk2_0,esk3_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_71, c_0_68])])).
fof(c_0_83, plain, ![X74, X75, X76, X77]:(v2_struct_0(X74)|~l3_algstr_0(X74)|v2_struct_0(X75)|~l3_algstr_0(X75)|~m1_subset_1(X76,u1_struct_0(X74))|~m1_subset_1(X77,u1_struct_0(X75))|k5_group_7(X74,X75,X76,X77)=k10_finseq_1(X76,X77)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_72])])).
cnf(c_0_84, negated_conjecture, (r1_struct_0(esk2_0,k1_funct_1(X1,np__2))|~m1_subset_1(X1,u1_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_73, c_0_39]), c_0_40]), c_0_41]), c_0_42]), c_0_44]), c_0_43]), c_0_46]), c_0_45]), c_0_48]), c_0_47])]), c_0_50]), c_0_49])).
cnf(c_0_85, negated_conjecture, (m1_subset_1(X1,u1_struct_0(esk1_0))|~v1_relat_1(k10_finseq_1(X1,X2))|~l1_struct_0(esk1_0)|~m1_subset_1(k10_finseq_1(X1,X2),u1_struct_0(k1_group_24(esk1_0,esk2_0,esk3_0)))|~v1_funct_1(k10_finseq_1(X1,X2))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_74, c_0_75]), c_0_66])).
cnf(c_0_86, plain, (k10_finseq_1(X1,k1_funct_1(X2,np__2))=X2|k1_funct_1(X2,np__1)!=X1|k3_finseq_1(X2)!=np__2|~v1_relat_1(X2)|~v1_finseq_1(X2)|~v1_funct_1(X2)), inference(er,[status(thm)],[c_0_76])).
cnf(c_0_87, negated_conjecture, (X1=k3_finseq_1(X2)|k2_finseq_1(np__2)!=k2_finseq_1(X1)|~v1_relat_1(X2)|~m1_subset_1(X2,u1_struct_0(k1_group_24(esk1_0,esk2_0,esk3_0)))|~m1_subset_1(X1,k4_ordinal1)|~v1_funct_1(X2)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_77, c_0_78]), c_0_66])).
cnf(c_0_88, negated_conjecture, (v1_relat_1(esk4_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79, c_0_80]), c_0_81])])).
cnf(c_0_89, negated_conjecture, (v1_funct_1(esk4_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82, c_0_80]), c_0_81])])).
cnf(c_0_90, plain, (v2_struct_0(X1)|v2_struct_0(X2)|k5_group_7(X1,X2,X3,X4)=k10_finseq_1(X3,X4)|~l3_algstr_0(X1)|~l3_algstr_0(X2)|~m1_subset_1(X3,u1_struct_0(X1))|~m1_subset_1(X4,u1_struct_0(X2))), inference(split_conjunct,[status(thm)],[c_0_83])).
cnf(c_0_91, negated_conjecture, (m1_subset_1(k1_funct_1(X1,np__2),u1_struct_0(esk2_0))|~l1_struct_0(esk2_0)|~m1_subset_1(X1,u1_struct_0(k1_group_24(esk1_0,esk2_0,esk3_0)))), inference(spm,[status(thm)],[c_0_60, c_0_84])).
cnf(c_0_92, negated_conjecture, (m1_subset_1(X1,u1_struct_0(esk1_0))|k1_funct_1(X2,np__1)!=X1|k3_finseq_1(X2)!=np__2|~v1_relat_1(X2)|~l1_struct_0(esk1_0)|~m1_subset_1(X2,u1_struct_0(k1_group_24(esk1_0,esk2_0,esk3_0)))|~v1_funct_1(X2)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_85, c_0_86]), c_0_66])).
cnf(c_0_93, negated_conjecture, (X1=k3_finseq_1(esk4_0)|k2_finseq_1(np__2)!=k2_finseq_1(X1)|~m1_subset_1(X1,k4_ordinal1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87, c_0_59]), c_0_88]), c_0_89])])).
cnf(c_0_94, plain, (m1_subset_1(np__2,k4_ordinal1)), inference(split_conjunct,[status(thm)],[spc2_numerals])).
cnf(c_0_95, negated_conjecture, (k5_group_7(X1,esk2_0,X2,k1_funct_1(X3,np__2))=k10_finseq_1(X2,k1_funct_1(X3,np__2))|v2_struct_0(X1)|~l1_struct_0(esk2_0)|~m1_subset_1(X3,u1_struct_0(k1_group_24(esk1_0,esk2_0,esk3_0)))|~m1_subset_1(X2,u1_struct_0(X1))|~l3_algstr_0(X1)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90, c_0_91]), c_0_43])]), c_0_50])).
cnf(c_0_96, negated_conjecture, (m1_subset_1(X1,u1_struct_0(esk1_0))|k1_funct_1(X2,np__1)!=X1|k3_finseq_1(X2)!=np__2|~v1_relat_1(X2)|~m1_subset_1(X2,u1_struct_0(k1_group_24(esk1_0,esk2_0,esk3_0)))|~v1_funct_1(X2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92, c_0_80]), c_0_44])])).
cnf(c_0_97, negated_conjecture, (k3_finseq_1(esk4_0)=np__2), inference(spm,[status(thm)],[c_0_93, c_0_94])).
cnf(c_0_98, negated_conjecture, (k5_group_7(X1,esk2_0,X2,k1_funct_1(X3,np__2))=k10_finseq_1(X2,k1_funct_1(X3,np__2))|v2_struct_0(X1)|~m1_subset_1(X3,u1_struct_0(k1_group_24(esk1_0,esk2_0,esk3_0)))|~m1_subset_1(X2,u1_struct_0(X1))|~l3_algstr_0(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95, c_0_80]), c_0_43])])).
cnf(c_0_99, negated_conjecture, (m1_subset_1(X1,u1_struct_0(esk1_0))|k1_funct_1(esk4_0,np__1)!=X1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96, c_0_59]), c_0_97]), c_0_88]), c_0_89])])).
cnf(c_0_100, negated_conjecture, (k5_group_7(X1,esk2_0,X2,k1_funct_1(esk4_0,np__2))=k10_finseq_1(X2,k1_funct_1(esk4_0,np__2))|v2_struct_0(X1)|~m1_subset_1(X2,u1_struct_0(X1))|~l3_algstr_0(X1)), inference(spm,[status(thm)],[c_0_98, c_0_59])).
cnf(c_0_101, negated_conjecture, (m1_subset_1(k1_funct_1(esk4_0,np__1),u1_struct_0(esk1_0))), inference(er,[status(thm)],[c_0_99])).
cnf(c_0_102, negated_conjecture, (~m1_subset_1(X1,u1_struct_0(esk1_0))|~m1_subset_1(X2,u1_struct_0(esk2_0))|esk4_0!=k5_group_7(esk1_0,esk2_0,X1,X2)), inference(split_conjunct,[status(thm)],[c_0_27])).
cnf(c_0_103, negated_conjecture, (k5_group_7(esk1_0,esk2_0,k1_funct_1(esk4_0,np__1),k1_funct_1(esk4_0,np__2))=k10_finseq_1(k1_funct_1(esk4_0,np__1),k1_funct_1(esk4_0,np__2))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100, c_0_101]), c_0_44])]), c_0_49])).
cnf(c_0_104, negated_conjecture, (k10_finseq_1(k1_funct_1(esk4_0,np__1),k1_funct_1(esk4_0,np__2))!=esk4_0|~m1_subset_1(k1_funct_1(esk4_0,np__2),u1_struct_0(esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102, c_0_103]), c_0_101])])).
cnf(c_0_105, negated_conjecture, (v1_finseq_1(esk4_0)), inference(spm,[status(thm)],[c_0_66, c_0_59])).
cnf(c_0_106, negated_conjecture, (~m1_subset_1(k1_funct_1(esk4_0,np__2),u1_struct_0(esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104, c_0_86]), c_0_97]), c_0_88]), c_0_105]), c_0_89])])).
cnf(c_0_107, negated_conjecture, (~l1_struct_0(esk2_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106, c_0_91]), c_0_59])])).
cnf(c_0_108, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107, c_0_80]), c_0_43])]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 109
# Proof object clause steps            : 71
# Proof object formula steps           : 38
# Proof object conjectures             : 48
# Proof object clause conjectures      : 45
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 34
# Proof object initial formulas used   : 17
# Proof object generating inferences   : 35
# Proof object simplifying inferences  : 113
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 17
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 48
# Removed in clause preprocessing      : 3
# Initial clauses in saturation        : 45
# Processed clauses                    : 148
# ...of these trivial                  : 2
# ...subsumed                          : 17
# ...remaining for further processing  : 129
# Other redundant clauses eliminated   : 7
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 5
# Backward-rewritten                   : 5
# Generated clauses                    : 135
# ...of the previous two non-trivial   : 120
# Contextual simplify-reflections      : 22
# Paramodulations                      : 111
# Factorizations                       : 8
# NegExts                              : 0
# Equation resolutions                 : 16
# 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  : 119
#    Positive orientable unit clauses  : 28
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 5
#    Non-unit-clauses                  : 86
# Current number of unprocessed clauses: 17
# ...number of literals in the above   : 104
# Current number of archived formulas  : 0
# Current number of archived clauses   : 10
# Clause-clause subsumption calls (NU) : 6348
# Rec. Clause-clause subsumption calls : 404
# Non-unit clause-clause subsumptions  : 44
# Unit Clause-clause subsumption calls : 167
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 7
# BW rewrite match successes           : 4
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 11248

# -------------------------------------------------
# User time                : 0.044 s
# System time              : 0.000 s
# Total time               : 0.044 s
# Maximum resident set size: 3396 pages
