# 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       : 0.022 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
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__l88_latwal_2', free_g3_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__l88_latwal_2', dt_k10_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__l88_latwal_2', dt_g3_lattices)).
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__l88_latwal_2', dt_k11_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__l88_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__l88_latwal_2', abstractness_v3_lattices)).
fof(dt_k12_latwal_2, axiom, (~(v2_struct_0(k12_latwal_2))&l3_lattices(k12_latwal_2)), file('latwal_2/latwal_2__l88_latwal_2', dt_k12_latwal_2)).
fof(l88_latwal_2, conjecture, ![X1]:(m1_subset_1(X1,u1_struct_0(k12_latwal_2))=>![X2]:(m1_subset_1(X2,u1_struct_0(k12_latwal_2))=>((X1=np__1&X2=np__3)=>k4_lattices(k12_latwal_2,X1,X2)=np__3))), file('latwal_2/latwal_2__l88_latwal_2', l88_latwal_2)).
fof(d2_lattices, axiom, ![X1]:((~(v2_struct_0(X1))&l1_lattices(X1))=>![X2]:(m1_subset_1(X2,u1_struct_0(X1))=>![X3]:(m1_subset_1(X3,u1_struct_0(X1))=>k2_lattices(X1,X2,X3)=k4_binop_1(u1_struct_0(X1),u1_lattices(X1),X2,X3)))), file('latwal_2/latwal_2__l88_latwal_2', d2_lattices)).
fof(redefinition_k4_lattices, axiom, ![X1, X2, X3]:(((((~(v2_struct_0(X1))&v6_lattices(X1))&l1_lattices(X1))&m1_subset_1(X2,u1_struct_0(X1)))&m1_subset_1(X3,u1_struct_0(X1)))=>k4_lattices(X1,X2,X3)=k2_lattices(X1,X2,X3)), file('latwal_2/latwal_2__l88_latwal_2', redefinition_k4_lattices)).
fof(fc14_latwal_2, axiom, ((((~(v2_struct_0(k12_latwal_2))&v4_lattices(k12_latwal_2))&v6_lattices(k12_latwal_2))&v8_lattices(k12_latwal_2))&v9_lattices(k12_latwal_2)), file('latwal_2/latwal_2__l88_latwal_2', fc14_latwal_2)).
fof(d15_latwal_2, axiom, ![X1]:(((v1_funct_1(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)))&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)))))=>(X1=k11_latwal_2<=>![X2]:(m1_subset_1(X2,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))=>![X3]:(m1_subset_1(X3,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))=>k4_binop_1(k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4),X1,X2,X3)=k9_latwal_2(X2,X3))))), file('latwal_2/latwal_2__l88_latwal_2', d15_latwal_2)).
fof(d13_latwal_2, axiom, ![X1]:(m1_subset_1(X1,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))=>![X2]:(m1_subset_1(X2,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))=>((((X1=np__1&X2=np__3)|(X1=np__3&X2=np__1))=>k9_latwal_2(X1,X2)=np__3)&~(((~((X1=np__1&X2=np__3))&~((X1=np__3&X2=np__1)))&k9_latwal_2(X1,X2)!=k3_xxreal_0(X1,X2)))))), file('latwal_2/latwal_2__l88_latwal_2', d13_latwal_2)).
fof(dt_l3_lattices, axiom, ![X1]:(l3_lattices(X1)=>(l1_lattices(X1)&l2_lattices(X1))), file('latwal_2/latwal_2__l88_latwal_2', dt_l3_lattices)).
fof(c_0_14, plain, ![X48, X49, X50, X51, X52, X53]:(((X48=X51|g3_lattices(X48,X49,X50)!=g3_lattices(X51,X52,X53)|(~v1_funct_1(X49)|~v1_funct_2(X49,k2_zfmisc_1(X48,X48),X48)|~m1_subset_1(X49,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X48,X48),X48)))|~v1_funct_1(X50)|~v1_funct_2(X50,k2_zfmisc_1(X48,X48),X48)|~m1_subset_1(X50,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X48,X48),X48)))))&(X49=X52|g3_lattices(X48,X49,X50)!=g3_lattices(X51,X52,X53)|(~v1_funct_1(X49)|~v1_funct_2(X49,k2_zfmisc_1(X48,X48),X48)|~m1_subset_1(X49,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X48,X48),X48)))|~v1_funct_1(X50)|~v1_funct_2(X50,k2_zfmisc_1(X48,X48),X48)|~m1_subset_1(X50,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X48,X48),X48))))))&(X50=X53|g3_lattices(X48,X49,X50)!=g3_lattices(X51,X52,X53)|(~v1_funct_1(X49)|~v1_funct_2(X49,k2_zfmisc_1(X48,X48),X48)|~m1_subset_1(X49,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X48,X48),X48)))|~v1_funct_1(X50)|~v1_funct_2(X50,k2_zfmisc_1(X48,X48),X48)|~m1_subset_1(X50,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X48,X48),X48)))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[free_g3_lattices])])])])).
cnf(c_0_15, plain, (X1=X2|g3_lattices(X3,X4,X1)!=g3_lattices(X5,X6,X2)|~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)))|~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)))), inference(split_conjunct,[status(thm)],[c_0_14])).
cnf(c_0_16, 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_17, 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_18, plain, (v1_funct_1(k10_latwal_2)), inference(split_conjunct,[status(thm)],[dt_k10_latwal_2])).
fof(c_0_19, plain, ![X44, X45, X46]:((v3_lattices(g3_lattices(X44,X45,X46))|(~v1_funct_1(X45)|~v1_funct_2(X45,k2_zfmisc_1(X44,X44),X44)|~m1_subset_1(X45,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X44,X44),X44)))|~v1_funct_1(X46)|~v1_funct_2(X46,k2_zfmisc_1(X44,X44),X44)|~m1_subset_1(X46,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X44,X44),X44)))))&(l3_lattices(g3_lattices(X44,X45,X46))|(~v1_funct_1(X45)|~v1_funct_2(X45,k2_zfmisc_1(X44,X44),X44)|~m1_subset_1(X45,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X44,X44),X44)))|~v1_funct_1(X46)|~v1_funct_2(X46,k2_zfmisc_1(X44,X44),X44)|~m1_subset_1(X46,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X44,X44),X44)))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_g3_lattices])])])).
cnf(c_0_20, plain, (X1=X2|g3_lattices(k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4),k10_latwal_2,X1)!=g3_lattices(X3,X4,X2)|~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_15, c_0_16]), c_0_17]), c_0_18])])).
cnf(c_0_21, 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_22, 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_23, 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_24, plain, (v1_funct_1(k11_latwal_2)), inference(split_conjunct,[status(thm)],[dt_k11_latwal_2])).
fof(c_0_25, plain, ![X33]:(~l3_lattices(X33)|(~v3_lattices(X33)|X33=g3_lattices(u1_struct_0(X33),u2_lattices(X33),u1_lattices(X33)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[abstractness_v3_lattices])])).
cnf(c_0_26, 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_19])).
cnf(c_0_27, plain, (k11_latwal_2=X1|g3_lattices(X2,X3,X1)!=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_20, c_0_21]), c_0_22]), c_0_23]), c_0_24])])).
cnf(c_0_28, 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_25])).
cnf(c_0_29, 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_26, c_0_16]), c_0_17]), c_0_18])])).
fof(c_0_30, plain, (~v2_struct_0(k12_latwal_2)&l3_lattices(k12_latwal_2)), inference(fof_simplification,[status(thm)],[dt_k12_latwal_2])).
cnf(c_0_31, 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_14])).
cnf(c_0_32, plain, (u1_lattices(X1)=k11_latwal_2|X1!=k12_latwal_2|~v3_lattices(X1)|~l3_lattices(X1)), inference(spm,[status(thm)],[c_0_27, c_0_28])).
cnf(c_0_33, 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_29, c_0_21]), c_0_22]), c_0_23]), c_0_24])])).
cnf(c_0_34, plain, (l3_lattices(k12_latwal_2)), inference(split_conjunct,[status(thm)],[c_0_30])).
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_31, c_0_21]), c_0_23]), c_0_24])])).
cnf(c_0_36, plain, (u1_lattices(k12_latwal_2)=k11_latwal_2), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32, c_0_33]), c_0_34])])).
fof(c_0_37, negated_conjecture, ~(![X1]:(m1_subset_1(X1,u1_struct_0(k12_latwal_2))=>![X2]:(m1_subset_1(X2,u1_struct_0(k12_latwal_2))=>((X1=np__1&X2=np__3)=>k4_lattices(k12_latwal_2,X1,X2)=np__3)))), inference(assume_negation,[status(cth)],[l88_latwal_2])).
fof(c_0_38, plain, ![X1]:((~v2_struct_0(X1)&l1_lattices(X1))=>![X2]:(m1_subset_1(X2,u1_struct_0(X1))=>![X3]:(m1_subset_1(X3,u1_struct_0(X1))=>k2_lattices(X1,X2,X3)=k4_binop_1(u1_struct_0(X1),u1_lattices(X1),X2,X3)))), inference(fof_simplification,[status(thm)],[d2_lattices])).
cnf(c_0_39, plain, (X1=X2|g3_lattices(X1,X3,X4)!=g3_lattices(X2,X5,X6)|~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)))|~v1_funct_1(X4)|~v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)|~m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X1,X1),X1)))), inference(split_conjunct,[status(thm)],[c_0_14])).
cnf(c_0_40, 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_16]), c_0_22]), c_0_17]), c_0_18])])).
cnf(c_0_41, plain, (g3_lattices(u1_struct_0(k12_latwal_2),u2_lattices(k12_latwal_2),k11_latwal_2)=k12_latwal_2), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28, c_0_36]), c_0_33]), c_0_34])])).
fof(c_0_42, plain, ![X1, X2, X3]:(((((~v2_struct_0(X1)&v6_lattices(X1))&l1_lattices(X1))&m1_subset_1(X2,u1_struct_0(X1)))&m1_subset_1(X3,u1_struct_0(X1)))=>k4_lattices(X1,X2,X3)=k2_lattices(X1,X2,X3)), inference(fof_simplification,[status(thm)],[redefinition_k4_lattices])).
fof(c_0_43, negated_conjecture, (m1_subset_1(esk1_0,u1_struct_0(k12_latwal_2))&(m1_subset_1(esk2_0,u1_struct_0(k12_latwal_2))&((esk1_0=np__1&esk2_0=np__3)&k4_lattices(k12_latwal_2,esk1_0,esk2_0)!=np__3))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_37])])])).
fof(c_0_44, plain, ![X41, X42, X43]:(v2_struct_0(X41)|~l1_lattices(X41)|(~m1_subset_1(X42,u1_struct_0(X41))|(~m1_subset_1(X43,u1_struct_0(X41))|k2_lattices(X41,X42,X43)=k4_binop_1(u1_struct_0(X41),u1_lattices(X41),X42,X43)))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_38])])])).
cnf(c_0_45, plain, (k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4)=X1|g3_lattices(k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4),X2,k11_latwal_2)!=g3_lattices(X1,X3,X4)|~v1_funct_2(X2,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(X2)|~m1_subset_1(X2,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_39, c_0_21]), c_0_23]), c_0_24])])).
cnf(c_0_46, plain, (u2_lattices(k12_latwal_2)=k10_latwal_2), inference(spm,[status(thm)],[c_0_40, c_0_41])).
fof(c_0_47, plain, ![X54, X55, X56]:(v2_struct_0(X54)|~v6_lattices(X54)|~l1_lattices(X54)|~m1_subset_1(X55,u1_struct_0(X54))|~m1_subset_1(X56,u1_struct_0(X54))|k4_lattices(X54,X55,X56)=k2_lattices(X54,X55,X56)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_42])])).
cnf(c_0_48, negated_conjecture, (m1_subset_1(esk2_0,u1_struct_0(k12_latwal_2))), inference(split_conjunct,[status(thm)],[c_0_43])).
cnf(c_0_49, negated_conjecture, (esk2_0=np__3), inference(split_conjunct,[status(thm)],[c_0_43])).
fof(c_0_50, plain, ((((~v2_struct_0(k12_latwal_2)&v4_lattices(k12_latwal_2))&v6_lattices(k12_latwal_2))&v8_lattices(k12_latwal_2))&v9_lattices(k12_latwal_2)), inference(fof_simplification,[status(thm)],[fc14_latwal_2])).
cnf(c_0_51, plain, (v2_struct_0(X1)|k2_lattices(X1,X2,X3)=k4_binop_1(u1_struct_0(X1),u1_lattices(X1),X2,X3)|~l1_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_44])).
cnf(c_0_52, plain, (~v2_struct_0(k12_latwal_2)), inference(split_conjunct,[status(thm)],[c_0_30])).
cnf(c_0_53, plain, (k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4)=X1|g3_lattices(X1,X2,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_45, c_0_16]), c_0_22]), c_0_17]), c_0_18])])).
cnf(c_0_54, plain, (g3_lattices(u1_struct_0(k12_latwal_2),k10_latwal_2,k11_latwal_2)=k12_latwal_2), inference(rw,[status(thm)],[c_0_41, c_0_46])).
cnf(c_0_55, negated_conjecture, (k4_lattices(k12_latwal_2,esk1_0,esk2_0)!=np__3), inference(split_conjunct,[status(thm)],[c_0_43])).
cnf(c_0_56, negated_conjecture, (esk1_0=np__1), inference(split_conjunct,[status(thm)],[c_0_43])).
cnf(c_0_57, plain, (v2_struct_0(X1)|k4_lattices(X1,X2,X3)=k2_lattices(X1,X2,X3)|~v6_lattices(X1)|~l1_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_47])).
cnf(c_0_58, negated_conjecture, (m1_subset_1(np__3,u1_struct_0(k12_latwal_2))), inference(rw,[status(thm)],[c_0_48, c_0_49])).
cnf(c_0_59, plain, (v6_lattices(k12_latwal_2)), inference(split_conjunct,[status(thm)],[c_0_50])).
cnf(c_0_60, negated_conjecture, (m1_subset_1(esk1_0,u1_struct_0(k12_latwal_2))), inference(split_conjunct,[status(thm)],[c_0_43])).
fof(c_0_61, plain, ![X36, X37, X38]:((X36!=k11_latwal_2|(~m1_subset_1(X37,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))|(~m1_subset_1(X38,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))|k4_binop_1(k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4),X36,X37,X38)=k9_latwal_2(X37,X38)))|(~v1_funct_1(X36)|~v1_funct_2(X36,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(X36,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))))))&((m1_subset_1(esk3_1(X36),k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))|X36=k11_latwal_2|(~v1_funct_1(X36)|~v1_funct_2(X36,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(X36,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))))))&((m1_subset_1(esk4_1(X36),k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))|X36=k11_latwal_2|(~v1_funct_1(X36)|~v1_funct_2(X36,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(X36,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))))))&(k4_binop_1(k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4),X36,esk3_1(X36),esk4_1(X36))!=k9_latwal_2(esk3_1(X36),esk4_1(X36))|X36=k11_latwal_2|(~v1_funct_1(X36)|~v1_funct_2(X36,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(X36,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(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d15_latwal_2])])])])])).
cnf(c_0_62, plain, (k4_binop_1(u1_struct_0(k12_latwal_2),k11_latwal_2,X1,X2)=k2_lattices(k12_latwal_2,X1,X2)|~l1_lattices(k12_latwal_2)|~m1_subset_1(X2,u1_struct_0(k12_latwal_2))|~m1_subset_1(X1,u1_struct_0(k12_latwal_2))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_51, c_0_36]), c_0_52])).
cnf(c_0_63, plain, (u1_struct_0(k12_latwal_2)=k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4)), inference(spm,[status(thm)],[c_0_53, c_0_54])).
cnf(c_0_64, negated_conjecture, (k4_lattices(k12_latwal_2,np__1,np__3)!=np__3), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_55, c_0_56]), c_0_49])).
cnf(c_0_65, negated_conjecture, (k4_lattices(k12_latwal_2,X1,np__3)=k2_lattices(k12_latwal_2,X1,np__3)|~l1_lattices(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_57, c_0_58]), c_0_59])]), c_0_52])).
cnf(c_0_66, negated_conjecture, (m1_subset_1(np__1,u1_struct_0(k12_latwal_2))), inference(rw,[status(thm)],[c_0_60, c_0_56])).
cnf(c_0_67, plain, (k4_binop_1(k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4),X1,X2,X3)=k9_latwal_2(X2,X3)|X1!=k11_latwal_2|~m1_subset_1(X2,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))|~m1_subset_1(X3,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))|~v1_funct_1(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))|~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(split_conjunct,[status(thm)],[c_0_61])).
cnf(c_0_68, plain, (k4_binop_1(k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4),k11_latwal_2,X1,X2)=k2_lattices(k12_latwal_2,X1,X2)|~l1_lattices(k12_latwal_2)|~m1_subset_1(X2,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))|~m1_subset_1(X1,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_62, c_0_63]), c_0_63]), c_0_63])).
fof(c_0_69, plain, ![X34, X35]:(((X34!=np__1|X35!=np__3|k9_latwal_2(X34,X35)=np__3|~m1_subset_1(X35,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))|~m1_subset_1(X34,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4)))&(X34!=np__3|X35!=np__1|k9_latwal_2(X34,X35)=np__3|~m1_subset_1(X35,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))|~m1_subset_1(X34,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))))&(((X34=np__3|X34=np__1|k9_latwal_2(X34,X35)=k3_xxreal_0(X34,X35)|~m1_subset_1(X35,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))|~m1_subset_1(X34,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4)))&(X35=np__1|X34=np__1|k9_latwal_2(X34,X35)=k3_xxreal_0(X34,X35)|~m1_subset_1(X35,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))|~m1_subset_1(X34,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))))&((X34=np__3|X35=np__3|k9_latwal_2(X34,X35)=k3_xxreal_0(X34,X35)|~m1_subset_1(X35,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))|~m1_subset_1(X34,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4)))&(X35=np__1|X35=np__3|k9_latwal_2(X34,X35)=k3_xxreal_0(X34,X35)|~m1_subset_1(X35,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))|~m1_subset_1(X34,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4)))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d13_latwal_2])])])])).
cnf(c_0_70, negated_conjecture, (k2_lattices(k12_latwal_2,np__1,np__3)!=np__3|~l1_lattices(k12_latwal_2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64, c_0_65]), c_0_66])])).
cnf(c_0_71, plain, (k2_lattices(k12_latwal_2,X1,X2)=k9_latwal_2(X1,X2)|~l1_lattices(k12_latwal_2)|~m1_subset_1(X2,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))|~m1_subset_1(X1,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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67, c_0_68]), c_0_23]), c_0_24]), c_0_21])])).
cnf(c_0_72, negated_conjecture, (m1_subset_1(np__3,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))), inference(rw,[status(thm)],[c_0_58, c_0_63])).
cnf(c_0_73, negated_conjecture, (m1_subset_1(np__1,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))), inference(rw,[status(thm)],[c_0_66, c_0_63])).
fof(c_0_74, plain, ![X47]:((l1_lattices(X47)|~l3_lattices(X47))&(l2_lattices(X47)|~l3_lattices(X47))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l3_lattices])])])).
cnf(c_0_75, plain, (k9_latwal_2(X1,X2)=np__3|X1!=np__1|X2!=np__3|~m1_subset_1(X2,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))|~m1_subset_1(X1,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))), inference(split_conjunct,[status(thm)],[c_0_69])).
cnf(c_0_76, negated_conjecture, (k9_latwal_2(np__1,np__3)!=np__3|~l1_lattices(k12_latwal_2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70, c_0_71]), c_0_72]), c_0_73])])).
cnf(c_0_77, plain, (l1_lattices(X1)|~l3_lattices(X1)), inference(split_conjunct,[status(thm)],[c_0_74])).
cnf(c_0_78, negated_conjecture, (k9_latwal_2(X1,np__3)=np__3|X1!=np__1|~m1_subset_1(X1,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))), inference(spm,[status(thm)],[c_0_75, c_0_72])).
cnf(c_0_79, negated_conjecture, (k9_latwal_2(np__1,np__3)!=np__3), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76, c_0_77]), c_0_34])])).
cnf(c_0_80, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_78, c_0_73]), c_0_79]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 81
# Proof object clause steps            : 53
# Proof object formula steps           : 28
# Proof object conjectures             : 19
# Proof object clause conjectures      : 16
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 25
# Proof object initial formulas used   : 14
# Proof object generating inferences   : 21
# Proof object simplifying inferences  : 59
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 14
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 39
# Removed in clause preprocessing      : 0
# Initial clauses in saturation        : 39
# Processed clauses                    : 257
# ...of these trivial                  : 4
# ...subsumed                          : 51
# ...remaining for further processing  : 202
# Other redundant clauses eliminated   : 0
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 4
# Backward-rewritten                   : 15
# Generated clauses                    : 290
# ...of the previous two non-trivial   : 278
# Contextual simplify-reflections      : 2
# Paramodulations                      : 275
# Factorizations                       : 0
# NegExts                              : 0
# Equation resolutions                 : 15
# 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  : 145
#    Positive orientable unit clauses  : 34
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 3
#    Non-unit-clauses                  : 108
# Current number of unprocessed clauses: 95
# ...number of literals in the above   : 459
# Current number of archived formulas  : 0
# Current number of archived clauses   : 57
# Clause-clause subsumption calls (NU) : 3810
# Rec. Clause-clause subsumption calls : 766
# Non-unit clause-clause subsumptions  : 53
# Unit Clause-clause subsumption calls : 443
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 18
# BW rewrite match successes           : 7
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 24210

# -------------------------------------------------
# User time                : 0.036 s
# System time              : 0.002 s
# Total time               : 0.038 s
# Maximum resident set size: 3476 pages
