# 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       : 0.021 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(l38_latwal_2, conjecture, ![X1]:(m1_subset_1(X1,u1_struct_0(k5_latwal_1))=>![X2]:(m1_subset_1(X2,u1_struct_0(k5_latwal_1))=>((X1=k5_ordinal1&X2=np__2)=>k3_lattices(k5_latwal_1,X1,X2)=k5_ordinal1))), file('latwal_2/latwal_2__l38_latwal_2', l38_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__l38_latwal_2', free_g3_lattices)).
fof(dt_k3_latwal_1, axiom, ((v1_funct_1(k3_latwal_1)&v1_funct_2(k3_latwal_1,k2_zfmisc_1(k1_enumset1(k5_ordinal1,np__1,np__2),k1_enumset1(k5_ordinal1,np__1,np__2)),k1_enumset1(k5_ordinal1,np__1,np__2)))&m1_subset_1(k3_latwal_1,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_enumset1(k5_ordinal1,np__1,np__2),k1_enumset1(k5_ordinal1,np__1,np__2)),k1_enumset1(k5_ordinal1,np__1,np__2))))), file('latwal_2/latwal_2__l38_latwal_2', dt_k3_latwal_1)).
fof(dt_k4_latwal_1, axiom, ((v1_funct_1(k4_latwal_1)&v1_funct_2(k4_latwal_1,k2_zfmisc_1(k1_enumset1(k5_ordinal1,np__1,np__2),k1_enumset1(k5_ordinal1,np__1,np__2)),k1_enumset1(k5_ordinal1,np__1,np__2)))&m1_subset_1(k4_latwal_1,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_enumset1(k5_ordinal1,np__1,np__2),k1_enumset1(k5_ordinal1,np__1,np__2)),k1_enumset1(k5_ordinal1,np__1,np__2))))), file('latwal_2/latwal_2__l38_latwal_2', dt_k4_latwal_1)).
fof(d10_latwal_1, axiom, k5_latwal_1=g3_lattices(k1_enumset1(k5_ordinal1,np__1,np__2),k3_latwal_1,k4_latwal_1), file('latwal_2/latwal_2__l38_latwal_2', d10_latwal_1)).
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__l38_latwal_2', dt_g3_lattices)).
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__l38_latwal_2', abstractness_v3_lattices)).
fof(dt_k5_latwal_1, axiom, (~(v2_struct_0(k5_latwal_1))&l3_lattices(k5_latwal_1)), file('latwal_2/latwal_2__l38_latwal_2', dt_k5_latwal_1)).
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__l38_latwal_2', d1_lattices)).
fof(redefinition_k3_lattices, axiom, ![X1, X2, X3]:(((((~(v2_struct_0(X1))&v4_lattices(X1))&l2_lattices(X1))&m1_subset_1(X2,u1_struct_0(X1)))&m1_subset_1(X3,u1_struct_0(X1)))=>k3_lattices(X1,X2,X3)=k1_lattices(X1,X2,X3)), file('latwal_2/latwal_2__l38_latwal_2', redefinition_k3_lattices)).
fof(d7_latwal_1, axiom, ![X1]:(m1_subset_1(X1,k1_enumset1(k5_ordinal1,np__1,np__2))=>![X2]:(m1_subset_1(X2,k1_enumset1(k5_ordinal1,np__1,np__2))=>((((X1=k5_ordinal1&X2=np__2)|(X1=np__2&X2=k5_ordinal1))=>k2_latwal_1(X1,X2)=k5_ordinal1)&~(((~((X1=k5_ordinal1&X2=np__2))&~((X1=np__2&X2=k5_ordinal1)))&k2_latwal_1(X1,X2)!=k4_xxreal_0(X1,X2)))))), file('latwal_2/latwal_2__l38_latwal_2', d7_latwal_1)).
fof(fc2_latwal_1, axiom, ((((((~(v2_struct_0(k5_latwal_1))&v4_lattices(k5_latwal_1))&v6_lattices(k5_latwal_1))&v8_lattices(k5_latwal_1))&v9_lattices(k5_latwal_1))&v7_robbins1(k5_latwal_1))&v5_sheffer1(k5_latwal_1)), file('latwal_2/latwal_2__l38_latwal_2', fc2_latwal_1)).
fof(d8_latwal_1, axiom, ![X1]:(((v1_funct_1(X1)&v1_funct_2(X1,k2_zfmisc_1(k1_enumset1(k5_ordinal1,np__1,np__2),k1_enumset1(k5_ordinal1,np__1,np__2)),k1_enumset1(k5_ordinal1,np__1,np__2)))&m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_enumset1(k5_ordinal1,np__1,np__2),k1_enumset1(k5_ordinal1,np__1,np__2)),k1_enumset1(k5_ordinal1,np__1,np__2)))))=>(X1=k3_latwal_1<=>![X2]:(m1_subset_1(X2,k1_enumset1(k5_ordinal1,np__1,np__2))=>![X3]:(m1_subset_1(X3,k1_enumset1(k5_ordinal1,np__1,np__2))=>k4_binop_1(k1_enumset1(k5_ordinal1,np__1,np__2),X1,X2,X3)=k2_latwal_1(X2,X3))))), file('latwal_2/latwal_2__l38_latwal_2', d8_latwal_1)).
fof(dt_l3_lattices, axiom, ![X1]:(l3_lattices(X1)=>(l1_lattices(X1)&l2_lattices(X1))), file('latwal_2/latwal_2__l38_latwal_2', dt_l3_lattices)).
fof(c_0_14, negated_conjecture, ~(![X1]:(m1_subset_1(X1,u1_struct_0(k5_latwal_1))=>![X2]:(m1_subset_1(X2,u1_struct_0(k5_latwal_1))=>((X1=k5_ordinal1&X2=np__2)=>k3_lattices(k5_latwal_1,X1,X2)=k5_ordinal1)))), inference(assume_negation,[status(cth)],[l38_latwal_2])).
fof(c_0_15, negated_conjecture, (m1_subset_1(esk1_0,u1_struct_0(k5_latwal_1))&(m1_subset_1(esk2_0,u1_struct_0(k5_latwal_1))&((esk1_0=k5_ordinal1&esk2_0=np__2)&k3_lattices(k5_latwal_1,esk1_0,esk2_0)!=k5_ordinal1))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])])).
fof(c_0_16, 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_17, plain, (m1_subset_1(k3_latwal_1,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_enumset1(k5_ordinal1,np__1,np__2),k1_enumset1(k5_ordinal1,np__1,np__2)),k1_enumset1(k5_ordinal1,np__1,np__2))))), inference(split_conjunct,[status(thm)],[dt_k3_latwal_1])).
cnf(c_0_18, negated_conjecture, (esk1_0=k5_ordinal1), inference(split_conjunct,[status(thm)],[c_0_15])).
cnf(c_0_19, negated_conjecture, (esk2_0=np__2), inference(split_conjunct,[status(thm)],[c_0_15])).
cnf(c_0_20, plain, (v1_funct_2(k3_latwal_1,k2_zfmisc_1(k1_enumset1(k5_ordinal1,np__1,np__2),k1_enumset1(k5_ordinal1,np__1,np__2)),k1_enumset1(k5_ordinal1,np__1,np__2))), inference(split_conjunct,[status(thm)],[dt_k3_latwal_1])).
cnf(c_0_21, plain, (m1_subset_1(k4_latwal_1,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_enumset1(k5_ordinal1,np__1,np__2),k1_enumset1(k5_ordinal1,np__1,np__2)),k1_enumset1(k5_ordinal1,np__1,np__2))))), inference(split_conjunct,[status(thm)],[dt_k4_latwal_1])).
cnf(c_0_22, plain, (v1_funct_2(k4_latwal_1,k2_zfmisc_1(k1_enumset1(k5_ordinal1,np__1,np__2),k1_enumset1(k5_ordinal1,np__1,np__2)),k1_enumset1(k5_ordinal1,np__1,np__2))), inference(split_conjunct,[status(thm)],[dt_k4_latwal_1])).
cnf(c_0_23, 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_16])).
cnf(c_0_24, plain, (m1_subset_1(k3_latwal_1,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_enumset1(esk1_0,np__1,esk2_0),k1_enumset1(esk1_0,np__1,esk2_0)),k1_enumset1(esk1_0,np__1,esk2_0))))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_17, c_0_18]), c_0_19]), c_0_18]), c_0_19]), c_0_18]), c_0_19])).
cnf(c_0_25, plain, (v1_funct_2(k3_latwal_1,k2_zfmisc_1(k1_enumset1(esk1_0,np__1,esk2_0),k1_enumset1(esk1_0,np__1,esk2_0)),k1_enumset1(esk1_0,np__1,esk2_0))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_20, c_0_18]), c_0_19]), c_0_18]), c_0_19]), c_0_18]), c_0_19])).
cnf(c_0_26, plain, (v1_funct_1(k3_latwal_1)), inference(split_conjunct,[status(thm)],[dt_k3_latwal_1])).
cnf(c_0_27, plain, (k5_latwal_1=g3_lattices(k1_enumset1(k5_ordinal1,np__1,np__2),k3_latwal_1,k4_latwal_1)), inference(split_conjunct,[status(thm)],[d10_latwal_1])).
cnf(c_0_28, 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_16])).
cnf(c_0_29, plain, (m1_subset_1(k4_latwal_1,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_enumset1(esk1_0,np__1,esk2_0),k1_enumset1(esk1_0,np__1,esk2_0)),k1_enumset1(esk1_0,np__1,esk2_0))))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_21, c_0_18]), c_0_19]), c_0_18]), c_0_19]), c_0_18]), c_0_19])).
cnf(c_0_30, plain, (v1_funct_2(k4_latwal_1,k2_zfmisc_1(k1_enumset1(esk1_0,np__1,esk2_0),k1_enumset1(esk1_0,np__1,esk2_0)),k1_enumset1(esk1_0,np__1,esk2_0))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_22, c_0_18]), c_0_19]), c_0_18]), c_0_19]), c_0_18]), c_0_19])).
cnf(c_0_31, plain, (v1_funct_1(k4_latwal_1)), inference(split_conjunct,[status(thm)],[dt_k4_latwal_1])).
fof(c_0_32, 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_33, plain, (X1=X2|g3_lattices(k1_enumset1(esk1_0,np__1,esk2_0),k3_latwal_1,X1)!=g3_lattices(X3,X4,X2)|~v1_funct_2(X1,k2_zfmisc_1(k1_enumset1(esk1_0,np__1,esk2_0),k1_enumset1(esk1_0,np__1,esk2_0)),k1_enumset1(esk1_0,np__1,esk2_0))|~v1_funct_1(X1)|~m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_enumset1(esk1_0,np__1,esk2_0),k1_enumset1(esk1_0,np__1,esk2_0)),k1_enumset1(esk1_0,np__1,esk2_0))))), 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_34, plain, (g3_lattices(k1_enumset1(esk1_0,np__1,esk2_0),k3_latwal_1,k4_latwal_1)=k5_latwal_1), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_27, c_0_18]), c_0_19])).
fof(c_0_35, 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_36, plain, (X1=X2|g3_lattices(k1_enumset1(esk1_0,np__1,esk2_0),X1,k4_latwal_1)!=g3_lattices(X3,X2,X4)|~v1_funct_2(X1,k2_zfmisc_1(k1_enumset1(esk1_0,np__1,esk2_0),k1_enumset1(esk1_0,np__1,esk2_0)),k1_enumset1(esk1_0,np__1,esk2_0))|~v1_funct_1(X1)|~m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_enumset1(esk1_0,np__1,esk2_0),k1_enumset1(esk1_0,np__1,esk2_0)),k1_enumset1(esk1_0,np__1,esk2_0))))), 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])])).
cnf(c_0_37, 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_32])).
cnf(c_0_38, plain, (k4_latwal_1=X1|g3_lattices(X2,X3,X1)!=k5_latwal_1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33, c_0_29]), c_0_34]), c_0_30]), c_0_31])])).
cnf(c_0_39, 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_35])).
cnf(c_0_40, plain, (k3_latwal_1=X1|g3_lattices(X2,X1,X3)!=k5_latwal_1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36, c_0_24]), c_0_34]), c_0_25]), c_0_26])])).
cnf(c_0_41, plain, (v3_lattices(g3_lattices(k1_enumset1(esk1_0,np__1,esk2_0),k3_latwal_1,X1))|~v1_funct_2(X1,k2_zfmisc_1(k1_enumset1(esk1_0,np__1,esk2_0),k1_enumset1(esk1_0,np__1,esk2_0)),k1_enumset1(esk1_0,np__1,esk2_0))|~v1_funct_1(X1)|~m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_enumset1(esk1_0,np__1,esk2_0),k1_enumset1(esk1_0,np__1,esk2_0)),k1_enumset1(esk1_0,np__1,esk2_0))))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37, c_0_24]), c_0_25]), c_0_26])])).
fof(c_0_42, plain, (~v2_struct_0(k5_latwal_1)&l3_lattices(k5_latwal_1)), inference(fof_simplification,[status(thm)],[dt_k5_latwal_1])).
cnf(c_0_43, 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_16])).
cnf(c_0_44, plain, (u1_lattices(X1)=k4_latwal_1|X1!=k5_latwal_1|~v3_lattices(X1)|~l3_lattices(X1)), inference(spm,[status(thm)],[c_0_38, c_0_39])).
cnf(c_0_45, plain, (u2_lattices(X1)=k3_latwal_1|X1!=k5_latwal_1|~v3_lattices(X1)|~l3_lattices(X1)), inference(spm,[status(thm)],[c_0_40, c_0_39])).
cnf(c_0_46, plain, (v3_lattices(k5_latwal_1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41, c_0_29]), c_0_34]), c_0_30]), c_0_31])])).
cnf(c_0_47, plain, (l3_lattices(k5_latwal_1)), inference(split_conjunct,[status(thm)],[c_0_42])).
fof(c_0_48, 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])).
cnf(c_0_49, plain, (k1_enumset1(esk1_0,np__1,esk2_0)=X1|g3_lattices(k1_enumset1(esk1_0,np__1,esk2_0),X2,k4_latwal_1)!=g3_lattices(X1,X3,X4)|~v1_funct_2(X2,k2_zfmisc_1(k1_enumset1(esk1_0,np__1,esk2_0),k1_enumset1(esk1_0,np__1,esk2_0)),k1_enumset1(esk1_0,np__1,esk2_0))|~v1_funct_1(X2)|~m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_enumset1(esk1_0,np__1,esk2_0),k1_enumset1(esk1_0,np__1,esk2_0)),k1_enumset1(esk1_0,np__1,esk2_0))))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43, c_0_29]), c_0_30]), c_0_31])])).
cnf(c_0_50, plain, (g3_lattices(u1_struct_0(X1),u2_lattices(X1),k4_latwal_1)=X1|X1!=k5_latwal_1|~v3_lattices(X1)|~l3_lattices(X1)), inference(spm,[status(thm)],[c_0_39, c_0_44])).
cnf(c_0_51, plain, (u2_lattices(k5_latwal_1)=k3_latwal_1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45, c_0_46]), c_0_47])])).
fof(c_0_52, plain, ![X1, X2, X3]:(((((~v2_struct_0(X1)&v4_lattices(X1))&l2_lattices(X1))&m1_subset_1(X2,u1_struct_0(X1)))&m1_subset_1(X3,u1_struct_0(X1)))=>k3_lattices(X1,X2,X3)=k1_lattices(X1,X2,X3)), inference(fof_simplification,[status(thm)],[redefinition_k3_lattices])).
fof(c_0_53, plain, ![X34, X35, X36]:(v2_struct_0(X34)|~l2_lattices(X34)|(~m1_subset_1(X35,u1_struct_0(X34))|(~m1_subset_1(X36,u1_struct_0(X34))|k1_lattices(X34,X35,X36)=k4_binop_1(u1_struct_0(X34),u2_lattices(X34),X35,X36)))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_48])])])).
fof(c_0_54, plain, ![X37, X38]:(((X37!=k5_ordinal1|X38!=np__2|k2_latwal_1(X37,X38)=k5_ordinal1|~m1_subset_1(X38,k1_enumset1(k5_ordinal1,np__1,np__2))|~m1_subset_1(X37,k1_enumset1(k5_ordinal1,np__1,np__2)))&(X37!=np__2|X38!=k5_ordinal1|k2_latwal_1(X37,X38)=k5_ordinal1|~m1_subset_1(X38,k1_enumset1(k5_ordinal1,np__1,np__2))|~m1_subset_1(X37,k1_enumset1(k5_ordinal1,np__1,np__2))))&(((X37=np__2|X37=k5_ordinal1|k2_latwal_1(X37,X38)=k4_xxreal_0(X37,X38)|~m1_subset_1(X38,k1_enumset1(k5_ordinal1,np__1,np__2))|~m1_subset_1(X37,k1_enumset1(k5_ordinal1,np__1,np__2)))&(X38=k5_ordinal1|X37=k5_ordinal1|k2_latwal_1(X37,X38)=k4_xxreal_0(X37,X38)|~m1_subset_1(X38,k1_enumset1(k5_ordinal1,np__1,np__2))|~m1_subset_1(X37,k1_enumset1(k5_ordinal1,np__1,np__2))))&((X37=np__2|X38=np__2|k2_latwal_1(X37,X38)=k4_xxreal_0(X37,X38)|~m1_subset_1(X38,k1_enumset1(k5_ordinal1,np__1,np__2))|~m1_subset_1(X37,k1_enumset1(k5_ordinal1,np__1,np__2)))&(X38=k5_ordinal1|X38=np__2|k2_latwal_1(X37,X38)=k4_xxreal_0(X37,X38)|~m1_subset_1(X38,k1_enumset1(k5_ordinal1,np__1,np__2))|~m1_subset_1(X37,k1_enumset1(k5_ordinal1,np__1,np__2)))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d7_latwal_1])])])])).
cnf(c_0_55, plain, (k1_enumset1(esk1_0,np__1,esk2_0)=X1|g3_lattices(X1,X2,X3)!=k5_latwal_1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49, c_0_24]), c_0_34]), c_0_25]), c_0_26])])).
cnf(c_0_56, plain, (g3_lattices(u1_struct_0(k5_latwal_1),k3_latwal_1,k4_latwal_1)=k5_latwal_1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50, c_0_51]), c_0_46]), c_0_47])])).
fof(c_0_57, plain, ![X54, X55, X56]:(v2_struct_0(X54)|~v4_lattices(X54)|~l2_lattices(X54)|~m1_subset_1(X55,u1_struct_0(X54))|~m1_subset_1(X56,u1_struct_0(X54))|k3_lattices(X54,X55,X56)=k1_lattices(X54,X55,X56)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_52])])).
fof(c_0_58, plain, ((((((~v2_struct_0(k5_latwal_1)&v4_lattices(k5_latwal_1))&v6_lattices(k5_latwal_1))&v8_lattices(k5_latwal_1))&v9_lattices(k5_latwal_1))&v7_robbins1(k5_latwal_1))&v5_sheffer1(k5_latwal_1)), inference(fof_simplification,[status(thm)],[fc2_latwal_1])).
fof(c_0_59, plain, ![X39, X40, X41]:((X39!=k3_latwal_1|(~m1_subset_1(X40,k1_enumset1(k5_ordinal1,np__1,np__2))|(~m1_subset_1(X41,k1_enumset1(k5_ordinal1,np__1,np__2))|k4_binop_1(k1_enumset1(k5_ordinal1,np__1,np__2),X39,X40,X41)=k2_latwal_1(X40,X41)))|(~v1_funct_1(X39)|~v1_funct_2(X39,k2_zfmisc_1(k1_enumset1(k5_ordinal1,np__1,np__2),k1_enumset1(k5_ordinal1,np__1,np__2)),k1_enumset1(k5_ordinal1,np__1,np__2))|~m1_subset_1(X39,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_enumset1(k5_ordinal1,np__1,np__2),k1_enumset1(k5_ordinal1,np__1,np__2)),k1_enumset1(k5_ordinal1,np__1,np__2))))))&((m1_subset_1(esk3_1(X39),k1_enumset1(k5_ordinal1,np__1,np__2))|X39=k3_latwal_1|(~v1_funct_1(X39)|~v1_funct_2(X39,k2_zfmisc_1(k1_enumset1(k5_ordinal1,np__1,np__2),k1_enumset1(k5_ordinal1,np__1,np__2)),k1_enumset1(k5_ordinal1,np__1,np__2))|~m1_subset_1(X39,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_enumset1(k5_ordinal1,np__1,np__2),k1_enumset1(k5_ordinal1,np__1,np__2)),k1_enumset1(k5_ordinal1,np__1,np__2))))))&((m1_subset_1(esk4_1(X39),k1_enumset1(k5_ordinal1,np__1,np__2))|X39=k3_latwal_1|(~v1_funct_1(X39)|~v1_funct_2(X39,k2_zfmisc_1(k1_enumset1(k5_ordinal1,np__1,np__2),k1_enumset1(k5_ordinal1,np__1,np__2)),k1_enumset1(k5_ordinal1,np__1,np__2))|~m1_subset_1(X39,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_enumset1(k5_ordinal1,np__1,np__2),k1_enumset1(k5_ordinal1,np__1,np__2)),k1_enumset1(k5_ordinal1,np__1,np__2))))))&(k4_binop_1(k1_enumset1(k5_ordinal1,np__1,np__2),X39,esk3_1(X39),esk4_1(X39))!=k2_latwal_1(esk3_1(X39),esk4_1(X39))|X39=k3_latwal_1|(~v1_funct_1(X39)|~v1_funct_2(X39,k2_zfmisc_1(k1_enumset1(k5_ordinal1,np__1,np__2),k1_enumset1(k5_ordinal1,np__1,np__2)),k1_enumset1(k5_ordinal1,np__1,np__2))|~m1_subset_1(X39,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_enumset1(k5_ordinal1,np__1,np__2),k1_enumset1(k5_ordinal1,np__1,np__2)),k1_enumset1(k5_ordinal1,np__1,np__2))))))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d8_latwal_1])])])])])).
cnf(c_0_60, 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_53])).
cnf(c_0_61, plain, (~v2_struct_0(k5_latwal_1)), inference(split_conjunct,[status(thm)],[c_0_42])).
cnf(c_0_62, plain, (k2_latwal_1(X1,X2)=k5_ordinal1|X1!=k5_ordinal1|X2!=np__2|~m1_subset_1(X2,k1_enumset1(k5_ordinal1,np__1,np__2))|~m1_subset_1(X1,k1_enumset1(k5_ordinal1,np__1,np__2))), inference(split_conjunct,[status(thm)],[c_0_54])).
cnf(c_0_63, negated_conjecture, (m1_subset_1(esk2_0,u1_struct_0(k5_latwal_1))), inference(split_conjunct,[status(thm)],[c_0_15])).
cnf(c_0_64, plain, (u1_struct_0(k5_latwal_1)=k1_enumset1(esk1_0,np__1,esk2_0)), inference(spm,[status(thm)],[c_0_55, c_0_56])).
cnf(c_0_65, negated_conjecture, (k3_lattices(k5_latwal_1,esk1_0,esk2_0)!=k5_ordinal1), inference(split_conjunct,[status(thm)],[c_0_15])).
cnf(c_0_66, plain, (v2_struct_0(X1)|k3_lattices(X1,X2,X3)=k1_lattices(X1,X2,X3)|~v4_lattices(X1)|~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_57])).
cnf(c_0_67, plain, (v4_lattices(k5_latwal_1)), inference(split_conjunct,[status(thm)],[c_0_58])).
cnf(c_0_68, plain, (k4_binop_1(k1_enumset1(k5_ordinal1,np__1,np__2),X1,X2,X3)=k2_latwal_1(X2,X3)|X1!=k3_latwal_1|~m1_subset_1(X2,k1_enumset1(k5_ordinal1,np__1,np__2))|~m1_subset_1(X3,k1_enumset1(k5_ordinal1,np__1,np__2))|~v1_funct_1(X1)|~v1_funct_2(X1,k2_zfmisc_1(k1_enumset1(k5_ordinal1,np__1,np__2),k1_enumset1(k5_ordinal1,np__1,np__2)),k1_enumset1(k5_ordinal1,np__1,np__2))|~m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_enumset1(k5_ordinal1,np__1,np__2),k1_enumset1(k5_ordinal1,np__1,np__2)),k1_enumset1(k5_ordinal1,np__1,np__2))))), inference(split_conjunct,[status(thm)],[c_0_59])).
cnf(c_0_69, plain, (k4_binop_1(u1_struct_0(k5_latwal_1),k3_latwal_1,X1,X2)=k1_lattices(k5_latwal_1,X1,X2)|~l2_lattices(k5_latwal_1)|~m1_subset_1(X2,u1_struct_0(k5_latwal_1))|~m1_subset_1(X1,u1_struct_0(k5_latwal_1))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_60, c_0_51]), c_0_61])).
cnf(c_0_70, plain, (k2_latwal_1(X1,X2)=esk1_0|X2!=esk2_0|X1!=esk1_0|~m1_subset_1(X2,k1_enumset1(esk1_0,np__1,esk2_0))|~m1_subset_1(X1,k1_enumset1(esk1_0,np__1,esk2_0))), 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)],[c_0_62, c_0_18]), c_0_19]), c_0_18]), c_0_18]), c_0_19]), c_0_18]), c_0_19])).
cnf(c_0_71, negated_conjecture, (m1_subset_1(esk2_0,k1_enumset1(esk1_0,np__1,esk2_0))), inference(rw,[status(thm)],[c_0_63, c_0_64])).
cnf(c_0_72, negated_conjecture, (m1_subset_1(esk1_0,u1_struct_0(k5_latwal_1))), inference(split_conjunct,[status(thm)],[c_0_15])).
cnf(c_0_73, negated_conjecture, (k3_lattices(k5_latwal_1,esk1_0,esk2_0)!=esk1_0), inference(rw,[status(thm)],[c_0_65, c_0_18])).
cnf(c_0_74, negated_conjecture, (k3_lattices(k5_latwal_1,X1,esk2_0)=k1_lattices(k5_latwal_1,X1,esk2_0)|~l2_lattices(k5_latwal_1)|~m1_subset_1(X1,u1_struct_0(k5_latwal_1))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66, c_0_63]), c_0_67])]), c_0_61])).
cnf(c_0_75, plain, (k4_binop_1(k1_enumset1(esk1_0,np__1,esk2_0),X1,X2,X3)=k2_latwal_1(X2,X3)|X1!=k3_latwal_1|~v1_funct_2(X1,k2_zfmisc_1(k1_enumset1(esk1_0,np__1,esk2_0),k1_enumset1(esk1_0,np__1,esk2_0)),k1_enumset1(esk1_0,np__1,esk2_0))|~v1_funct_1(X1)|~m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_enumset1(esk1_0,np__1,esk2_0),k1_enumset1(esk1_0,np__1,esk2_0)),k1_enumset1(esk1_0,np__1,esk2_0))))|~m1_subset_1(X3,k1_enumset1(esk1_0,np__1,esk2_0))|~m1_subset_1(X2,k1_enumset1(esk1_0,np__1,esk2_0))), 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(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)],[c_0_68, c_0_18]), c_0_19]), c_0_18]), c_0_19]), c_0_18]), c_0_19]), c_0_18]), c_0_19]), c_0_18]), c_0_19]), c_0_18]), c_0_19]), c_0_18]), c_0_19]), c_0_18]), c_0_19]), c_0_18]), c_0_19])).
cnf(c_0_76, plain, (k4_binop_1(k1_enumset1(esk1_0,np__1,esk2_0),k3_latwal_1,X1,X2)=k1_lattices(k5_latwal_1,X1,X2)|~l2_lattices(k5_latwal_1)|~m1_subset_1(X2,k1_enumset1(esk1_0,np__1,esk2_0))|~m1_subset_1(X1,k1_enumset1(esk1_0,np__1,esk2_0))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_69, c_0_64]), c_0_64]), c_0_64])).
cnf(c_0_77, negated_conjecture, (k2_latwal_1(X1,esk2_0)=esk1_0|X1!=esk1_0|~m1_subset_1(X1,k1_enumset1(esk1_0,np__1,esk2_0))), inference(spm,[status(thm)],[c_0_70, c_0_71])).
cnf(c_0_78, negated_conjecture, (m1_subset_1(esk1_0,k1_enumset1(esk1_0,np__1,esk2_0))), inference(rw,[status(thm)],[c_0_72, c_0_64])).
cnf(c_0_79, negated_conjecture, (k1_lattices(k5_latwal_1,esk1_0,esk2_0)!=esk1_0|~l2_lattices(k5_latwal_1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73, c_0_74]), c_0_72])])).
cnf(c_0_80, plain, (k1_lattices(k5_latwal_1,X1,X2)=k2_latwal_1(X1,X2)|~l2_lattices(k5_latwal_1)|~m1_subset_1(X2,k1_enumset1(esk1_0,np__1,esk2_0))|~m1_subset_1(X1,k1_enumset1(esk1_0,np__1,esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75, c_0_76]), c_0_25]), c_0_26]), c_0_24])])).
cnf(c_0_81, negated_conjecture, (k2_latwal_1(esk1_0,esk2_0)=esk1_0), inference(spm,[status(thm)],[c_0_77, c_0_78])).
fof(c_0_82, 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_83, negated_conjecture, (~l2_lattices(k5_latwal_1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79, c_0_80]), c_0_81]), c_0_71]), c_0_78])])).
cnf(c_0_84, plain, (l2_lattices(X1)|~l3_lattices(X1)), inference(split_conjunct,[status(thm)],[c_0_82])).
cnf(c_0_85, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83, c_0_84]), c_0_47])]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 86
# Proof object clause steps            : 58
# Proof object formula steps           : 28
# Proof object conjectures             : 17
# Proof object clause conjectures      : 14
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 25
# Proof object initial formulas used   : 14
# Proof object generating inferences   : 22
# Proof object simplifying inferences  : 106
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 14
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 41
# Removed in clause preprocessing      : 0
# Initial clauses in saturation        : 41
# Processed clauses                    : 210
# ...of these trivial                  : 3
# ...subsumed                          : 25
# ...remaining for further processing  : 182
# Other redundant clauses eliminated   : 0
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 0
# Backward-rewritten                   : 12
# Generated clauses                    : 216
# ...of the previous two non-trivial   : 199
# Contextual simplify-reflections      : 0
# Paramodulations                      : 203
# Factorizations                       : 0
# NegExts                              : 0
# Equation resolutions                 : 13
# 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  : 130
#    Positive orientable unit clauses  : 35
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 3
#    Non-unit-clauses                  : 92
# Current number of unprocessed clauses: 65
# ...number of literals in the above   : 237
# Current number of archived formulas  : 0
# Current number of archived clauses   : 52
# Clause-clause subsumption calls (NU) : 2814
# Rec. Clause-clause subsumption calls : 555
# Non-unit clause-clause subsumptions  : 24
# Unit Clause-clause subsumption calls : 587
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 10
# BW rewrite match successes           : 3
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 16071

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# User time                : 0.034 s
# System time              : 0.000 s
# Total time               : 0.034 s
# Maximum resident set size: 3304 pages
