# No SInE strategy applied
# Trying AutoSched0 for 161 seconds
# AutoSched0-Mode selected heuristic G_E___208_C18_F1_AE_CS_SP_PS_S0V
# and selection function PSelectComplexExceptRRHorn.
#
# Preprocessing time       : 0.016 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(d4_lattices, axiom, ![X1]:((~(v2_struct_0(X1))&l2_lattices(X1))=>(v4_lattices(X1)<=>![X2]:(m1_subset_1(X2,u1_struct_0(X1))=>![X3]:(m1_subset_1(X3,u1_struct_0(X1))=>k1_lattices(X1,X2,X3)=k1_lattices(X1,X3,X2))))), file('latwal_2/latwal_2__l79_latwal_2', d4_lattices)).
fof(dt_l3_lattices, axiom, ![X1]:(l3_lattices(X1)=>(l1_lattices(X1)&l2_lattices(X1))), file('latwal_2/latwal_2__l79_latwal_2', dt_l3_lattices)).
fof(dt_k12_latwal_2, axiom, (~(v2_struct_0(k12_latwal_2))&l3_lattices(k12_latwal_2)), file('latwal_2/latwal_2__l79_latwal_2', dt_k12_latwal_2)).
fof(free_g3_lattices, axiom, ![X1, X2, X3]:((((((v1_funct_1(X2)&v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1))&m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X1,X1),X1))))&v1_funct_1(X3))&v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1))&m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X1,X1),X1))))=>![X4, X5, X6]:(g3_lattices(X1,X2,X3)=g3_lattices(X4,X5,X6)=>((X1=X4&X2=X5)&X3=X6))), file('latwal_2/latwal_2__l79_latwal_2', free_g3_lattices)).
fof(d1_lattices, axiom, ![X1]:((~(v2_struct_0(X1))&l2_lattices(X1))=>![X2]:(m1_subset_1(X2,u1_struct_0(X1))=>![X3]:(m1_subset_1(X3,u1_struct_0(X1))=>k1_lattices(X1,X2,X3)=k4_binop_1(u1_struct_0(X1),u2_lattices(X1),X2,X3)))), file('latwal_2/latwal_2__l79_latwal_2', d1_lattices)).
fof(l79_latwal_2, conjecture, v4_lattices(k12_latwal_2), file('latwal_2/latwal_2__l79_latwal_2', l79_latwal_2)).
fof(dt_k11_latwal_2, axiom, ((v1_funct_1(k11_latwal_2)&v1_funct_2(k11_latwal_2,k2_zfmisc_1(k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4),k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4)),k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4)))&m1_subset_1(k11_latwal_2,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4),k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4)),k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))))), file('latwal_2/latwal_2__l79_latwal_2', dt_k11_latwal_2)).
fof(dt_g3_lattices, axiom, ![X1, X2, X3]:((((((v1_funct_1(X2)&v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1))&m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X1,X1),X1))))&v1_funct_1(X3))&v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1))&m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X1,X1),X1))))=>(v3_lattices(g3_lattices(X1,X2,X3))&l3_lattices(g3_lattices(X1,X2,X3)))), file('latwal_2/latwal_2__l79_latwal_2', dt_g3_lattices)).
fof(redefinition_k4_binop_1, axiom, ![X1, X2, X3, X4]:(((((v1_funct_1(X2)&v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1))&m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X1,X1),X1))))&m1_subset_1(X3,X1))&m1_subset_1(X4,X1))=>k4_binop_1(X1,X2,X3,X4)=k1_binop_1(X2,X3,X4)), file('latwal_2/latwal_2__l79_latwal_2', redefinition_k4_binop_1)).
fof(dt_u2_lattices, axiom, ![X1]:(l2_lattices(X1)=>((v1_funct_1(u2_lattices(X1))&v1_funct_2(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)))&m1_subset_1(u2_lattices(X1),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)))))), file('latwal_2/latwal_2__l79_latwal_2', dt_u2_lattices)).
fof(dt_k10_latwal_2, axiom, ((v1_funct_1(k10_latwal_2)&v1_funct_2(k10_latwal_2,k2_zfmisc_1(k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4),k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4)),k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4)))&m1_subset_1(k10_latwal_2,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4),k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4)),k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))))), file('latwal_2/latwal_2__l79_latwal_2', dt_k10_latwal_2)).
fof(d16_latwal_2, axiom, k12_latwal_2=g3_lattices(k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4),k10_latwal_2,k11_latwal_2), file('latwal_2/latwal_2__l79_latwal_2', d16_latwal_2)).
fof(abstractness_v3_lattices, axiom, ![X1]:(l3_lattices(X1)=>(v3_lattices(X1)=>X1=g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)))), file('latwal_2/latwal_2__l79_latwal_2', abstractness_v3_lattices)).
fof(l76_latwal_2, axiom, ![X1]:(m1_subset_1(X1,u1_struct_0(k12_latwal_2))=>![X2]:(m1_subset_1(X2,u1_struct_0(k12_latwal_2))=>k1_binop_1(k10_latwal_2,X1,X2)=k1_binop_1(k10_latwal_2,X2,X1))), file('latwal_2/latwal_2__l79_latwal_2', l76_latwal_2)).
fof(c_0_14, plain, ![X1]:((~v2_struct_0(X1)&l2_lattices(X1))=>(v4_lattices(X1)<=>![X2]:(m1_subset_1(X2,u1_struct_0(X1))=>![X3]:(m1_subset_1(X3,u1_struct_0(X1))=>k1_lattices(X1,X2,X3)=k1_lattices(X1,X3,X2))))), inference(fof_simplification,[status(thm)],[d4_lattices])).
fof(c_0_15, plain, ![X43]:((l1_lattices(X43)|~l3_lattices(X43))&(l2_lattices(X43)|~l3_lattices(X43))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l3_lattices])])])).
fof(c_0_16, plain, (~v2_struct_0(k12_latwal_2)&l3_lattices(k12_latwal_2)), inference(fof_simplification,[status(thm)],[dt_k12_latwal_2])).
fof(c_0_17, plain, ![X45, X46, X47, X48, X49, X50]:(((X45=X48|g3_lattices(X45,X46,X47)!=g3_lattices(X48,X49,X50)|(~v1_funct_1(X46)|~v1_funct_2(X46,k2_zfmisc_1(X45,X45),X45)|~m1_subset_1(X46,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X45,X45),X45)))|~v1_funct_1(X47)|~v1_funct_2(X47,k2_zfmisc_1(X45,X45),X45)|~m1_subset_1(X47,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X45,X45),X45)))))&(X46=X49|g3_lattices(X45,X46,X47)!=g3_lattices(X48,X49,X50)|(~v1_funct_1(X46)|~v1_funct_2(X46,k2_zfmisc_1(X45,X45),X45)|~m1_subset_1(X46,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X45,X45),X45)))|~v1_funct_1(X47)|~v1_funct_2(X47,k2_zfmisc_1(X45,X45),X45)|~m1_subset_1(X47,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X45,X45),X45))))))&(X47=X50|g3_lattices(X45,X46,X47)!=g3_lattices(X48,X49,X50)|(~v1_funct_1(X46)|~v1_funct_2(X46,k2_zfmisc_1(X45,X45),X45)|~m1_subset_1(X46,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X45,X45),X45)))|~v1_funct_1(X47)|~v1_funct_2(X47,k2_zfmisc_1(X45,X45),X45)|~m1_subset_1(X47,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X45,X45),X45)))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[free_g3_lattices])])])])).
fof(c_0_18, plain, ![X1]:((~v2_struct_0(X1)&l2_lattices(X1))=>![X2]:(m1_subset_1(X2,u1_struct_0(X1))=>![X3]:(m1_subset_1(X3,u1_struct_0(X1))=>k1_lattices(X1,X2,X3)=k4_binop_1(u1_struct_0(X1),u2_lattices(X1),X2,X3)))), inference(fof_simplification,[status(thm)],[d1_lattices])).
fof(c_0_19, plain, ![X35, X36, X37]:((~v4_lattices(X35)|(~m1_subset_1(X36,u1_struct_0(X35))|(~m1_subset_1(X37,u1_struct_0(X35))|k1_lattices(X35,X36,X37)=k1_lattices(X35,X37,X36)))|(v2_struct_0(X35)|~l2_lattices(X35)))&((m1_subset_1(esk1_1(X35),u1_struct_0(X35))|v4_lattices(X35)|(v2_struct_0(X35)|~l2_lattices(X35)))&((m1_subset_1(esk2_1(X35),u1_struct_0(X35))|v4_lattices(X35)|(v2_struct_0(X35)|~l2_lattices(X35)))&(k1_lattices(X35,esk1_1(X35),esk2_1(X35))!=k1_lattices(X35,esk2_1(X35),esk1_1(X35))|v4_lattices(X35)|(v2_struct_0(X35)|~l2_lattices(X35)))))), 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_14])])])])])).
cnf(c_0_20, plain, (l2_lattices(X1)|~l3_lattices(X1)), inference(split_conjunct,[status(thm)],[c_0_15])).
cnf(c_0_21, plain, (l3_lattices(k12_latwal_2)), inference(split_conjunct,[status(thm)],[c_0_16])).
fof(c_0_22, negated_conjecture, ~v4_lattices(k12_latwal_2), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[l79_latwal_2])])).
cnf(c_0_23, plain, (X1=X2|g3_lattices(X3,X1,X4)!=g3_lattices(X5,X2,X6)|~v1_funct_1(X1)|~v1_funct_2(X1,k2_zfmisc_1(X3,X3),X3)|~m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X3,X3),X3)))|~v1_funct_1(X4)|~v1_funct_2(X4,k2_zfmisc_1(X3,X3),X3)|~m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X3,X3),X3)))), inference(split_conjunct,[status(thm)],[c_0_17])).
cnf(c_0_24, plain, (m1_subset_1(k11_latwal_2,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4),k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4)),k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))))), inference(split_conjunct,[status(thm)],[dt_k11_latwal_2])).
cnf(c_0_25, plain, (v1_funct_2(k11_latwal_2,k2_zfmisc_1(k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4),k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4)),k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))), inference(split_conjunct,[status(thm)],[dt_k11_latwal_2])).
cnf(c_0_26, plain, (v1_funct_1(k11_latwal_2)), inference(split_conjunct,[status(thm)],[dt_k11_latwal_2])).
fof(c_0_27, plain, ![X40, X41, X42]:((v3_lattices(g3_lattices(X40,X41,X42))|(~v1_funct_1(X41)|~v1_funct_2(X41,k2_zfmisc_1(X40,X40),X40)|~m1_subset_1(X41,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X40,X40),X40)))|~v1_funct_1(X42)|~v1_funct_2(X42,k2_zfmisc_1(X40,X40),X40)|~m1_subset_1(X42,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X40,X40),X40)))))&(l3_lattices(g3_lattices(X40,X41,X42))|(~v1_funct_1(X41)|~v1_funct_2(X41,k2_zfmisc_1(X40,X40),X40)|~m1_subset_1(X41,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X40,X40),X40)))|~v1_funct_1(X42)|~v1_funct_2(X42,k2_zfmisc_1(X40,X40),X40)|~m1_subset_1(X42,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X40,X40),X40)))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_g3_lattices])])])).
fof(c_0_28, plain, ![X32, X33, X34]:(v2_struct_0(X32)|~l2_lattices(X32)|(~m1_subset_1(X33,u1_struct_0(X32))|(~m1_subset_1(X34,u1_struct_0(X32))|k1_lattices(X32,X33,X34)=k4_binop_1(u1_struct_0(X32),u2_lattices(X32),X33,X34)))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_18])])])).
cnf(c_0_29, plain, (m1_subset_1(esk1_1(X1),u1_struct_0(X1))|v4_lattices(X1)|v2_struct_0(X1)|~l2_lattices(X1)), inference(split_conjunct,[status(thm)],[c_0_19])).
cnf(c_0_30, plain, (l2_lattices(k12_latwal_2)), inference(spm,[status(thm)],[c_0_20, c_0_21])).
cnf(c_0_31, plain, (~v2_struct_0(k12_latwal_2)), inference(split_conjunct,[status(thm)],[c_0_16])).
cnf(c_0_32, negated_conjecture, (~v4_lattices(k12_latwal_2)), inference(split_conjunct,[status(thm)],[c_0_22])).
fof(c_0_33, plain, ![X53, X54, X55, X56]:(~v1_funct_1(X54)|~v1_funct_2(X54,k2_zfmisc_1(X53,X53),X53)|~m1_subset_1(X54,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X53,X53),X53)))|~m1_subset_1(X55,X53)|~m1_subset_1(X56,X53)|k4_binop_1(X53,X54,X55,X56)=k1_binop_1(X54,X55,X56)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k4_binop_1])])).
fof(c_0_34, plain, ![X44]:(((v1_funct_1(u2_lattices(X44))|~l2_lattices(X44))&(v1_funct_2(u2_lattices(X44),k2_zfmisc_1(u1_struct_0(X44),u1_struct_0(X44)),u1_struct_0(X44))|~l2_lattices(X44)))&(m1_subset_1(u2_lattices(X44),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(X44),u1_struct_0(X44)),u1_struct_0(X44))))|~l2_lattices(X44))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_u2_lattices])])])).
cnf(c_0_35, plain, (X1=X2|g3_lattices(k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4),X1,k11_latwal_2)!=g3_lattices(X3,X2,X4)|~v1_funct_2(X1,k2_zfmisc_1(k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4),k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4)),k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))|~v1_funct_1(X1)|~m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4),k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4)),k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23, c_0_24]), c_0_25]), c_0_26])])).
cnf(c_0_36, plain, (m1_subset_1(k10_latwal_2,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4),k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4)),k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))))), inference(split_conjunct,[status(thm)],[dt_k10_latwal_2])).
cnf(c_0_37, plain, (k12_latwal_2=g3_lattices(k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4),k10_latwal_2,k11_latwal_2)), inference(split_conjunct,[status(thm)],[d16_latwal_2])).
cnf(c_0_38, plain, (v1_funct_2(k10_latwal_2,k2_zfmisc_1(k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4),k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4)),k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))), inference(split_conjunct,[status(thm)],[dt_k10_latwal_2])).
cnf(c_0_39, plain, (v1_funct_1(k10_latwal_2)), inference(split_conjunct,[status(thm)],[dt_k10_latwal_2])).
fof(c_0_40, plain, ![X31]:(~l3_lattices(X31)|(~v3_lattices(X31)|X31=g3_lattices(u1_struct_0(X31),u2_lattices(X31),u1_lattices(X31)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[abstractness_v3_lattices])])).
cnf(c_0_41, plain, (v3_lattices(g3_lattices(X1,X2,X3))|~v1_funct_1(X2)|~v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)|~m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X1,X1),X1)))|~v1_funct_1(X3)|~v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)|~m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X1,X1),X1)))), inference(split_conjunct,[status(thm)],[c_0_27])).
cnf(c_0_42, plain, (m1_subset_1(esk2_1(X1),u1_struct_0(X1))|v4_lattices(X1)|v2_struct_0(X1)|~l2_lattices(X1)), inference(split_conjunct,[status(thm)],[c_0_19])).
cnf(c_0_43, plain, (v2_struct_0(X1)|k1_lattices(X1,X2,X3)=k4_binop_1(u1_struct_0(X1),u2_lattices(X1),X2,X3)|~l2_lattices(X1)|~m1_subset_1(X2,u1_struct_0(X1))|~m1_subset_1(X3,u1_struct_0(X1))), inference(split_conjunct,[status(thm)],[c_0_28])).
cnf(c_0_44, plain, (m1_subset_1(esk1_1(k12_latwal_2),u1_struct_0(k12_latwal_2))), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_29, c_0_30]), c_0_31]), c_0_32])).
cnf(c_0_45, plain, (k4_binop_1(X2,X1,X3,X4)=k1_binop_1(X1,X3,X4)|~v1_funct_1(X1)|~v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)|~m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X2,X2),X2)))|~m1_subset_1(X3,X2)|~m1_subset_1(X4,X2)), inference(split_conjunct,[status(thm)],[c_0_33])).
cnf(c_0_46, plain, (m1_subset_1(u2_lattices(X1),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))))|~l2_lattices(X1)), inference(split_conjunct,[status(thm)],[c_0_34])).
cnf(c_0_47, plain, (v1_funct_1(u2_lattices(X1))|~l2_lattices(X1)), inference(split_conjunct,[status(thm)],[c_0_34])).
cnf(c_0_48, plain, (v1_funct_2(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))|~l2_lattices(X1)), inference(split_conjunct,[status(thm)],[c_0_34])).
cnf(c_0_49, plain, (k10_latwal_2=X1|g3_lattices(X2,X1,X3)!=k12_latwal_2), inference(cn,[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])])).
cnf(c_0_50, plain, (X1=g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))|~l3_lattices(X1)|~v3_lattices(X1)), inference(split_conjunct,[status(thm)],[c_0_40])).
cnf(c_0_51, plain, (v3_lattices(g3_lattices(k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4),k10_latwal_2,X1))|~v1_funct_2(X1,k2_zfmisc_1(k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4),k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4)),k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))|~v1_funct_1(X1)|~m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4),k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4)),k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41, c_0_36]), c_0_38]), c_0_39])])).
cnf(c_0_52, plain, (m1_subset_1(esk2_1(k12_latwal_2),u1_struct_0(k12_latwal_2))), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_42, c_0_30]), c_0_31]), c_0_32])).
cnf(c_0_53, plain, (k4_binop_1(u1_struct_0(k12_latwal_2),u2_lattices(k12_latwal_2),X1,esk1_1(k12_latwal_2))=k1_lattices(k12_latwal_2,X1,esk1_1(k12_latwal_2))|~m1_subset_1(X1,u1_struct_0(k12_latwal_2))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43, c_0_44]), c_0_30])]), c_0_31])).
cnf(c_0_54, plain, (k4_binop_1(u1_struct_0(X1),u2_lattices(X1),X2,X3)=k1_binop_1(u2_lattices(X1),X2,X3)|~m1_subset_1(X3,u1_struct_0(X1))|~m1_subset_1(X2,u1_struct_0(X1))|~l2_lattices(X1)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_45, c_0_46]), c_0_47]), c_0_48])).
cnf(c_0_55, plain, (u2_lattices(X1)=k10_latwal_2|X1!=k12_latwal_2|~v3_lattices(X1)|~l3_lattices(X1)), inference(spm,[status(thm)],[c_0_49, c_0_50])).
cnf(c_0_56, plain, (v3_lattices(k12_latwal_2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51, c_0_24]), c_0_37]), c_0_25]), c_0_26])])).
cnf(c_0_57, plain, (k4_binop_1(u1_struct_0(k12_latwal_2),u2_lattices(k12_latwal_2),X1,esk2_1(k12_latwal_2))=k1_lattices(k12_latwal_2,X1,esk2_1(k12_latwal_2))|~m1_subset_1(X1,u1_struct_0(k12_latwal_2))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43, c_0_52]), c_0_30])]), c_0_31])).
fof(c_0_58, plain, ![X51, X52]:(~m1_subset_1(X51,u1_struct_0(k12_latwal_2))|(~m1_subset_1(X52,u1_struct_0(k12_latwal_2))|k1_binop_1(k10_latwal_2,X51,X52)=k1_binop_1(k10_latwal_2,X52,X51))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[l76_latwal_2])])])).
cnf(c_0_59, plain, (k1_binop_1(u2_lattices(k12_latwal_2),X1,esk1_1(k12_latwal_2))=k1_lattices(k12_latwal_2,X1,esk1_1(k12_latwal_2))|~m1_subset_1(X1,u1_struct_0(k12_latwal_2))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53, c_0_54]), c_0_44]), c_0_30])])).
cnf(c_0_60, plain, (u2_lattices(k12_latwal_2)=k10_latwal_2), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55, c_0_56]), c_0_21])])).
cnf(c_0_61, plain, (k1_binop_1(u2_lattices(k12_latwal_2),X1,esk2_1(k12_latwal_2))=k1_lattices(k12_latwal_2,X1,esk2_1(k12_latwal_2))|~m1_subset_1(X1,u1_struct_0(k12_latwal_2))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57, c_0_54]), c_0_52]), c_0_30])])).
cnf(c_0_62, plain, (k1_binop_1(k10_latwal_2,X1,X2)=k1_binop_1(k10_latwal_2,X2,X1)|~m1_subset_1(X1,u1_struct_0(k12_latwal_2))|~m1_subset_1(X2,u1_struct_0(k12_latwal_2))), inference(split_conjunct,[status(thm)],[c_0_58])).
cnf(c_0_63, plain, (k1_binop_1(k10_latwal_2,X1,esk1_1(k12_latwal_2))=k1_lattices(k12_latwal_2,X1,esk1_1(k12_latwal_2))|~m1_subset_1(X1,u1_struct_0(k12_latwal_2))), inference(rw,[status(thm)],[c_0_59, c_0_60])).
cnf(c_0_64, plain, (v4_lattices(X1)|v2_struct_0(X1)|k1_lattices(X1,esk1_1(X1),esk2_1(X1))!=k1_lattices(X1,esk2_1(X1),esk1_1(X1))|~l2_lattices(X1)), inference(split_conjunct,[status(thm)],[c_0_19])).
cnf(c_0_65, plain, (k1_binop_1(k10_latwal_2,X1,esk2_1(k12_latwal_2))=k1_lattices(k12_latwal_2,X1,esk2_1(k12_latwal_2))|~m1_subset_1(X1,u1_struct_0(k12_latwal_2))), inference(rw,[status(thm)],[c_0_61, c_0_60])).
cnf(c_0_66, plain, (k1_binop_1(k10_latwal_2,esk1_1(k12_latwal_2),X1)=k1_lattices(k12_latwal_2,X1,esk1_1(k12_latwal_2))|~m1_subset_1(X1,u1_struct_0(k12_latwal_2))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62, c_0_63]), c_0_44])])).
cnf(c_0_67, plain, (k1_lattices(k12_latwal_2,esk2_1(k12_latwal_2),esk1_1(k12_latwal_2))!=k1_lattices(k12_latwal_2,esk1_1(k12_latwal_2),esk2_1(k12_latwal_2))), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_64, c_0_30]), c_0_31]), c_0_32])).
cnf(c_0_68, plain, ($false), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65, c_0_66]), c_0_44]), c_0_52])]), c_0_67]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 69
# Proof object clause steps            : 42
# Proof object formula steps           : 27
# Proof object conjectures             : 3
# Proof object clause conjectures      : 1
# Proof object formula conjectures     : 2
# Proof object initial clauses used    : 23
# Proof object initial formulas used   : 14
# Proof object generating inferences   : 17
# Proof object simplifying inferences  : 44
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 14
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 28
# Removed in clause preprocessing      : 0
# Initial clauses in saturation        : 28
# Processed clauses                    : 264
# ...of these trivial                  : 0
# ...subsumed                          : 71
# ...remaining for further processing  : 193
# Other redundant clauses eliminated   : 9
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 2
# Backward-rewritten                   : 5
# Generated clauses                    : 1011
# ...of the previous two non-trivial   : 901
# Contextual simplify-reflections      : 25
# Paramodulations                      : 946
# Factorizations                       : 0
# NegExts                              : 0
# Equation resolutions                 : 65
# 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  : 158
#    Positive orientable unit clauses  : 28
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 3
#    Non-unit-clauses                  : 127
# Current number of unprocessed clauses: 690
# ...number of literals in the above   : 4729
# Current number of archived formulas  : 0
# Current number of archived clauses   : 35
# Clause-clause subsumption calls (NU) : 4420
# Rec. Clause-clause subsumption calls : 640
# Non-unit clause-clause subsumptions  : 96
# Unit Clause-clause subsumption calls : 445
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 12
# BW rewrite match successes           : 2
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 38779

# -------------------------------------------------
# User time                : 0.038 s
# System time              : 0.004 s
# Total time               : 0.042 s
# Maximum resident set size: 3424 pages
