# No SInE strategy applied
# Trying AutoSched0 for 161 seconds
# AutoSched0-Mode selected heuristic G_E___208_B07_F1_SE_CS_SP_PS_S4d
# and selection function SelectCQIPrecWNTNp.
#
# Preprocessing time       : 0.023 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(d1_enumset1, axiom, ![X1, X2, X3, X4]:(X4=k1_enumset1(X1,X2,X3)<=>![X5]:(r2_hidden(X5,X4)<=>~(((X5!=X1&X5!=X2)&X5!=X3)))), file('latwal_2/latwal_2__l46_latwal_2', d1_enumset1)).
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__l46_latwal_2', free_g3_lattices)).
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__l46_latwal_2', dt_g3_lattices)).
fof(d2_latwal_1, axiom, ![X1]:((~(v2_struct_0(X1))&l3_lattices(X1))=>(v2_latwal_1(X1)<=>![X2]:(m1_subset_1(X2,u1_struct_0(X1))=>![X3]:(m1_subset_1(X3,u1_struct_0(X1))=>![X4]:(m1_subset_1(X4,u1_struct_0(X1))=>k1_lattices(X1,k1_lattices(X1,k2_lattices(X1,X4,X3),k2_lattices(X1,X2,X3)),X3)=X3))))), file('latwal_2/latwal_2__l46_latwal_2', d2_latwal_1)).
fof(redefinition_r2_tarski, axiom, ![X1, X2]:(r2_tarski(X1,X2)<=>r2_hidden(X1,X2)), file('latwal_2/latwal_2__l46_latwal_2', redefinition_r2_tarski)).
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__l46_latwal_2', d10_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__l46_latwal_2', dt_k4_latwal_1)).
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__l46_latwal_2', dt_k3_latwal_1)).
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__l46_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__l46_latwal_2', dt_k5_latwal_1)).
fof(l46_latwal_2, conjecture, v2_latwal_1(k5_latwal_1), file('latwal_2/latwal_2__l46_latwal_2', l46_latwal_2)).
fof(t7_boole, axiom, ![X1, X2]:~((r2_tarski(X1,X2)&v1_xboole_0(X2))), file('latwal_2/latwal_2__l46_latwal_2', t7_boole)).
fof(t2_subset, axiom, ![X1, X2]:(m1_subset_1(X1,X2)=>(v1_xboole_0(X2)|r2_tarski(X1,X2))), file('latwal_2/latwal_2__l46_latwal_2', t2_subset)).
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__l46_latwal_2', redefinition_k4_lattices)).
fof(t1_subset, axiom, ![X1, X2]:(r2_tarski(X1,X2)=>m1_subset_1(X1,X2)), file('latwal_2/latwal_2__l46_latwal_2', t1_subset)).
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__l46_latwal_2', fc2_latwal_1)).
fof(l43_latwal_2, axiom, ![X1]:(m1_subset_1(X1,u1_struct_0(k5_latwal_1))=>![X2]:(m1_subset_1(X2,u1_struct_0(k5_latwal_1))=>((X1=np__1&X2=np__2)=>k4_lattices(k5_latwal_1,X1,X2)=np__1))), file('latwal_2/latwal_2__l46_latwal_2', l43_latwal_2)).
fof(dt_l3_lattices, axiom, ![X1]:(l3_lattices(X1)=>(l1_lattices(X1)&l2_lattices(X1))), file('latwal_2/latwal_2__l46_latwal_2', dt_l3_lattices)).
fof(l42_latwal_2, axiom, ![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)=>k4_lattices(k5_latwal_1,X1,X2)=np__2))), file('latwal_2/latwal_2__l46_latwal_2', l42_latwal_2)).
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__l46_latwal_2', redefinition_k3_lattices)).
fof(l33_latwal_2, axiom, ![X1]:(m1_subset_1(X1,u1_struct_0(k5_latwal_1))=>![X2]:(m1_subset_1(X2,u1_struct_0(k5_latwal_1))=>((X1=np__2&X2=np__1)=>k3_lattices(k5_latwal_1,X1,X2)=np__2))), file('latwal_2/latwal_2__l46_latwal_2', l33_latwal_2)).
fof(l39_latwal_2, axiom, ![X1]:(m1_subset_1(X1,u1_struct_0(k5_latwal_1))=>![X2]:(m1_subset_1(X2,u1_struct_0(k5_latwal_1))=>((X1=np__2&X2=np__1)=>k4_lattices(k5_latwal_1,X1,X2)=np__1))), file('latwal_2/latwal_2__l46_latwal_2', l39_latwal_2)).
fof(rd1_lattices, axiom, ![X1, X2]:((((((~(v2_struct_0(X1))&v6_lattices(X1))&v8_lattices(X1))&v9_lattices(X1))&l3_lattices(X1))&m1_subset_1(X2,u1_struct_0(X1)))=>k1_lattices(X1,X2,X2)=X2), file('latwal_2/latwal_2__l46_latwal_2', rd1_lattices)).
fof(l40_latwal_2, axiom, ![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__1)=>k4_lattices(k5_latwal_1,X1,X2)=k5_ordinal1))), file('latwal_2/latwal_2__l46_latwal_2', l40_latwal_2)).
fof(l35_latwal_2, axiom, ![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__1)=>k3_lattices(k5_latwal_1,X1,X2)=np__1))), file('latwal_2/latwal_2__l46_latwal_2', l35_latwal_2)).
fof(l34_latwal_2, axiom, ![X1]:(m1_subset_1(X1,u1_struct_0(k5_latwal_1))=>![X2]:(m1_subset_1(X2,u1_struct_0(k5_latwal_1))=>((X1=np__1&X2=np__2)=>k3_lattices(k5_latwal_1,X1,X2)=np__2))), file('latwal_2/latwal_2__l46_latwal_2', l34_latwal_2)).
fof(l37_latwal_2, axiom, ![X1]:(m1_subset_1(X1,u1_struct_0(k5_latwal_1))=>![X2]:(m1_subset_1(X2,u1_struct_0(k5_latwal_1))=>((X1=np__1&X2=k5_ordinal1)=>k3_lattices(k5_latwal_1,X1,X2)=np__1))), file('latwal_2/latwal_2__l46_latwal_2', l37_latwal_2)).
fof(l41_latwal_2, axiom, ![X1]:(m1_subset_1(X1,u1_struct_0(k5_latwal_1))=>![X2]:(m1_subset_1(X2,u1_struct_0(k5_latwal_1))=>((X1=np__2&X2=k5_ordinal1)=>k4_lattices(k5_latwal_1,X1,X2)=np__2))), file('latwal_2/latwal_2__l46_latwal_2', l41_latwal_2)).
fof(l44_latwal_2, axiom, ![X1]:(m1_subset_1(X1,u1_struct_0(k5_latwal_1))=>![X2]:(m1_subset_1(X2,u1_struct_0(k5_latwal_1))=>((X1=np__1&X2=k5_ordinal1)=>k4_lattices(k5_latwal_1,X1,X2)=k5_ordinal1))), file('latwal_2/latwal_2__l46_latwal_2', l44_latwal_2)).
fof(l38_latwal_2, axiom, ![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__l46_latwal_2', l38_latwal_2)).
fof(l36_latwal_2, axiom, ![X1]:(m1_subset_1(X1,u1_struct_0(k5_latwal_1))=>![X2]:(m1_subset_1(X2,u1_struct_0(k5_latwal_1))=>((X1=np__2&X2=k5_ordinal1)=>k3_lattices(k5_latwal_1,X1,X2)=k5_ordinal1))), file('latwal_2/latwal_2__l46_latwal_2', l36_latwal_2)).
fof(rd2_lattices, axiom, ![X1, X2]:((((((~(v2_struct_0(X1))&v6_lattices(X1))&v8_lattices(X1))&v9_lattices(X1))&l3_lattices(X1))&m1_subset_1(X2,u1_struct_0(X1)))=>k4_lattices(X1,X2,X2)=X2), file('latwal_2/latwal_2__l46_latwal_2', rd2_lattices)).
fof(c_0_32, plain, ![X70, X71, X72, X73, X74, X75, X76, X77, X78, X79]:(((~r2_hidden(X74,X73)|(X74=X70|X74=X71|X74=X72)|X73!=k1_enumset1(X70,X71,X72))&(((X75!=X70|r2_hidden(X75,X73)|X73!=k1_enumset1(X70,X71,X72))&(X75!=X71|r2_hidden(X75,X73)|X73!=k1_enumset1(X70,X71,X72)))&(X75!=X72|r2_hidden(X75,X73)|X73!=k1_enumset1(X70,X71,X72))))&((((esk1_4(X76,X77,X78,X79)!=X76|~r2_hidden(esk1_4(X76,X77,X78,X79),X79)|X79=k1_enumset1(X76,X77,X78))&(esk1_4(X76,X77,X78,X79)!=X77|~r2_hidden(esk1_4(X76,X77,X78,X79),X79)|X79=k1_enumset1(X76,X77,X78)))&(esk1_4(X76,X77,X78,X79)!=X78|~r2_hidden(esk1_4(X76,X77,X78,X79),X79)|X79=k1_enumset1(X76,X77,X78)))&(r2_hidden(esk1_4(X76,X77,X78,X79),X79)|(esk1_4(X76,X77,X78,X79)=X76|esk1_4(X76,X77,X78,X79)=X77|esk1_4(X76,X77,X78,X79)=X78)|X79=k1_enumset1(X76,X77,X78)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[d1_enumset1])])])])])])).
fof(c_0_33, plain, ![X92, X93, X94, X95, X96, X97]:(((X92=X95|g3_lattices(X92,X93,X94)!=g3_lattices(X95,X96,X97)|(~v1_funct_1(X93)|~v1_funct_2(X93,k2_zfmisc_1(X92,X92),X92)|~m1_subset_1(X93,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X92,X92),X92)))|~v1_funct_1(X94)|~v1_funct_2(X94,k2_zfmisc_1(X92,X92),X92)|~m1_subset_1(X94,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X92,X92),X92)))))&(X93=X96|g3_lattices(X92,X93,X94)!=g3_lattices(X95,X96,X97)|(~v1_funct_1(X93)|~v1_funct_2(X93,k2_zfmisc_1(X92,X92),X92)|~m1_subset_1(X93,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X92,X92),X92)))|~v1_funct_1(X94)|~v1_funct_2(X94,k2_zfmisc_1(X92,X92),X92)|~m1_subset_1(X94,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X92,X92),X92))))))&(X94=X97|g3_lattices(X92,X93,X94)!=g3_lattices(X95,X96,X97)|(~v1_funct_1(X93)|~v1_funct_2(X93,k2_zfmisc_1(X92,X92),X92)|~m1_subset_1(X93,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X92,X92),X92)))|~v1_funct_1(X94)|~v1_funct_2(X94,k2_zfmisc_1(X92,X92),X92)|~m1_subset_1(X94,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X92,X92),X92)))))), 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_34, plain, ![X88, X89, X90]:((v3_lattices(g3_lattices(X88,X89,X90))|(~v1_funct_1(X89)|~v1_funct_2(X89,k2_zfmisc_1(X88,X88),X88)|~m1_subset_1(X89,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X88,X88),X88)))|~v1_funct_1(X90)|~v1_funct_2(X90,k2_zfmisc_1(X88,X88),X88)|~m1_subset_1(X90,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X88,X88),X88)))))&(l3_lattices(g3_lattices(X88,X89,X90))|(~v1_funct_1(X89)|~v1_funct_2(X89,k2_zfmisc_1(X88,X88),X88)|~m1_subset_1(X89,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X88,X88),X88)))|~v1_funct_1(X90)|~v1_funct_2(X90,k2_zfmisc_1(X88,X88),X88)|~m1_subset_1(X90,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X88,X88),X88)))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_g3_lattices])])])).
fof(c_0_35, plain, ![X1]:((~v2_struct_0(X1)&l3_lattices(X1))=>(v2_latwal_1(X1)<=>![X2]:(m1_subset_1(X2,u1_struct_0(X1))=>![X3]:(m1_subset_1(X3,u1_struct_0(X1))=>![X4]:(m1_subset_1(X4,u1_struct_0(X1))=>k1_lattices(X1,k1_lattices(X1,k2_lattices(X1,X4,X3),k2_lattices(X1,X2,X3)),X3)=X3))))), inference(fof_simplification,[status(thm)],[d2_latwal_1])).
fof(c_0_36, plain, ![X132, X133]:((~r2_tarski(X132,X133)|r2_hidden(X132,X133))&(~r2_hidden(X132,X133)|r2_tarski(X132,X133))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_r2_tarski])])).
cnf(c_0_37, plain, (r2_hidden(X1,X3)|X1!=X2|X3!=k1_enumset1(X4,X5,X2)), inference(split_conjunct,[status(thm)],[c_0_32])).
cnf(c_0_38, 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_33])).
cnf(c_0_39, 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_40, 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_41, 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_42, plain, (v1_funct_1(k4_latwal_1)), inference(split_conjunct,[status(thm)],[dt_k4_latwal_1])).
cnf(c_0_43, plain, (v1_funct_1(k3_latwal_1)), inference(split_conjunct,[status(thm)],[dt_k3_latwal_1])).
cnf(c_0_44, 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_45, 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])).
fof(c_0_46, plain, ![X69]:(~l3_lattices(X69)|(~v3_lattices(X69)|X69=g3_lattices(u1_struct_0(X69),u2_lattices(X69),u1_lattices(X69)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[abstractness_v3_lattices])])).
fof(c_0_47, plain, (~v2_struct_0(k5_latwal_1)&l3_lattices(k5_latwal_1)), inference(fof_simplification,[status(thm)],[dt_k5_latwal_1])).
cnf(c_0_48, 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_34])).
fof(c_0_49, negated_conjecture, ~v2_latwal_1(k5_latwal_1), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[l46_latwal_2])])).
fof(c_0_50, plain, ![X81, X82, X83, X84]:((~v2_latwal_1(X81)|(~m1_subset_1(X82,u1_struct_0(X81))|(~m1_subset_1(X83,u1_struct_0(X81))|(~m1_subset_1(X84,u1_struct_0(X81))|k1_lattices(X81,k1_lattices(X81,k2_lattices(X81,X84,X83),k2_lattices(X81,X82,X83)),X83)=X83)))|(v2_struct_0(X81)|~l3_lattices(X81)))&((m1_subset_1(esk2_1(X81),u1_struct_0(X81))|v2_latwal_1(X81)|(v2_struct_0(X81)|~l3_lattices(X81)))&((m1_subset_1(esk3_1(X81),u1_struct_0(X81))|v2_latwal_1(X81)|(v2_struct_0(X81)|~l3_lattices(X81)))&((m1_subset_1(esk4_1(X81),u1_struct_0(X81))|v2_latwal_1(X81)|(v2_struct_0(X81)|~l3_lattices(X81)))&(k1_lattices(X81,k1_lattices(X81,k2_lattices(X81,esk4_1(X81),esk3_1(X81)),k2_lattices(X81,esk2_1(X81),esk3_1(X81))),esk3_1(X81))!=esk3_1(X81)|v2_latwal_1(X81)|(v2_struct_0(X81)|~l3_lattices(X81))))))), 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_35])])])])])).
fof(c_0_51, plain, ![X138, X139]:(~r2_tarski(X138,X139)|~v1_xboole_0(X139)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t7_boole])])).
cnf(c_0_52, plain, (r2_tarski(X1,X2)|~r2_hidden(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_36])).
cnf(c_0_53, plain, (r2_hidden(X1,k1_enumset1(X2,X3,X1))), inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_37])])).
cnf(c_0_54, plain, (k1_enumset1(k5_ordinal1,np__1,np__2)=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(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])])).
cnf(c_0_55, 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_46])).
cnf(c_0_56, plain, (l3_lattices(k5_latwal_1)), inference(split_conjunct,[status(thm)],[c_0_47])).
cnf(c_0_57, plain, (v3_lattices(g3_lattices(k1_enumset1(k5_ordinal1,np__1,np__2),X1,k4_latwal_1))|~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))|~v1_funct_1(X1)|~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(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48, c_0_40]), c_0_42]), c_0_44])])).
fof(c_0_58, plain, ![X136, X137]:(~m1_subset_1(X136,X137)|(v1_xboole_0(X137)|r2_tarski(X136,X137))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_subset])])).
cnf(c_0_59, negated_conjecture, (~v2_latwal_1(k5_latwal_1)), inference(split_conjunct,[status(thm)],[c_0_49])).
cnf(c_0_60, plain, (m1_subset_1(esk4_1(X1),u1_struct_0(X1))|v2_latwal_1(X1)|v2_struct_0(X1)|~l3_lattices(X1)), inference(split_conjunct,[status(thm)],[c_0_50])).
cnf(c_0_61, plain, (~v2_struct_0(k5_latwal_1)), inference(split_conjunct,[status(thm)],[c_0_47])).
cnf(c_0_62, plain, (~r2_tarski(X1,X2)|~v1_xboole_0(X2)), inference(split_conjunct,[status(thm)],[c_0_51])).
cnf(c_0_63, plain, (r2_tarski(X1,k1_enumset1(X2,X3,X1))), inference(spm,[status(thm)],[c_0_52, c_0_53])).
cnf(c_0_64, plain, (k1_enumset1(k5_ordinal1,np__1,np__2)=u1_struct_0(k5_latwal_1)|~v3_lattices(k5_latwal_1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_54, c_0_55])]), c_0_56])])).
cnf(c_0_65, 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_57, c_0_41]), c_0_39]), c_0_43]), c_0_45])])).
cnf(c_0_66, plain, (m1_subset_1(esk3_1(X1),u1_struct_0(X1))|v2_latwal_1(X1)|v2_struct_0(X1)|~l3_lattices(X1)), inference(split_conjunct,[status(thm)],[c_0_50])).
cnf(c_0_67, plain, (m1_subset_1(esk2_1(X1),u1_struct_0(X1))|v2_latwal_1(X1)|v2_struct_0(X1)|~l3_lattices(X1)), inference(split_conjunct,[status(thm)],[c_0_50])).
cnf(c_0_68, plain, (r2_hidden(X1,X3)|X1!=X2|X3!=k1_enumset1(X4,X2,X5)), inference(split_conjunct,[status(thm)],[c_0_32])).
cnf(c_0_69, plain, (v1_xboole_0(X2)|r2_tarski(X1,X2)|~m1_subset_1(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_58])).
cnf(c_0_70, negated_conjecture, (m1_subset_1(esk4_1(k5_latwal_1),u1_struct_0(k5_latwal_1))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59, c_0_60]), c_0_56])]), c_0_61])).
cnf(c_0_71, plain, (~v1_xboole_0(k1_enumset1(X1,X2,X3))), inference(spm,[status(thm)],[c_0_62, c_0_63])).
cnf(c_0_72, plain, (k1_enumset1(k5_ordinal1,np__1,np__2)=u1_struct_0(k5_latwal_1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_64, c_0_65])])).
cnf(c_0_73, negated_conjecture, (m1_subset_1(esk3_1(k5_latwal_1),u1_struct_0(k5_latwal_1))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59, c_0_66]), c_0_56])]), c_0_61])).
cnf(c_0_74, negated_conjecture, (m1_subset_1(esk2_1(k5_latwal_1),u1_struct_0(k5_latwal_1))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59, c_0_67]), c_0_56])]), c_0_61])).
fof(c_0_75, 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_76, plain, ![X134, X135]:(~r2_tarski(X134,X135)|m1_subset_1(X134,X135)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t1_subset])])).
cnf(c_0_77, plain, (r2_hidden(X1,k1_enumset1(X2,X1,X3))), inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_68])])).
cnf(c_0_78, plain, (r2_hidden(X1,X3)|X1!=X2|X3!=k1_enumset1(X2,X4,X5)), inference(split_conjunct,[status(thm)],[c_0_32])).
cnf(c_0_79, plain, (X1=X3|X1=X4|X1=X5|~r2_hidden(X1,X2)|X2!=k1_enumset1(X3,X4,X5)), inference(split_conjunct,[status(thm)],[c_0_32])).
cnf(c_0_80, negated_conjecture, (v1_xboole_0(u1_struct_0(k5_latwal_1))|r2_tarski(esk4_1(k5_latwal_1),u1_struct_0(k5_latwal_1))), inference(spm,[status(thm)],[c_0_69, c_0_70])).
cnf(c_0_81, plain, (~v1_xboole_0(u1_struct_0(k5_latwal_1))), inference(spm,[status(thm)],[c_0_71, c_0_72])).
cnf(c_0_82, negated_conjecture, (v1_xboole_0(u1_struct_0(k5_latwal_1))|r2_tarski(esk3_1(k5_latwal_1),u1_struct_0(k5_latwal_1))), inference(spm,[status(thm)],[c_0_69, c_0_73])).
cnf(c_0_83, negated_conjecture, (v1_xboole_0(u1_struct_0(k5_latwal_1))|r2_tarski(esk2_1(k5_latwal_1),u1_struct_0(k5_latwal_1))), inference(spm,[status(thm)],[c_0_69, c_0_74])).
fof(c_0_84, plain, ![X129, X130, X131]:(v2_struct_0(X129)|~v6_lattices(X129)|~l1_lattices(X129)|~m1_subset_1(X130,u1_struct_0(X129))|~m1_subset_1(X131,u1_struct_0(X129))|k4_lattices(X129,X130,X131)=k2_lattices(X129,X130,X131)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_75])])).
fof(c_0_85, 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_86, plain, ![X118, X119]:(~m1_subset_1(X118,u1_struct_0(k5_latwal_1))|(~m1_subset_1(X119,u1_struct_0(k5_latwal_1))|(X118!=np__1|X119!=np__2|k4_lattices(k5_latwal_1,X118,X119)=np__1))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[l43_latwal_2])])])).
cnf(c_0_87, plain, (m1_subset_1(X1,X2)|~r2_tarski(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_76])).
cnf(c_0_88, plain, (r2_tarski(X1,k1_enumset1(X2,X1,X3))), inference(spm,[status(thm)],[c_0_52, c_0_77])).
cnf(c_0_89, plain, (r2_hidden(X1,k1_enumset1(X1,X2,X3))), inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_78])])).
cnf(c_0_90, plain, (X1=X2|X1=X3|X1=X4|~r2_hidden(X1,k1_enumset1(X4,X3,X2))), inference(er,[status(thm)],[c_0_79])).
cnf(c_0_91, plain, (r2_hidden(X1,X2)|~r2_tarski(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_36])).
cnf(c_0_92, negated_conjecture, (r2_tarski(esk4_1(k5_latwal_1),u1_struct_0(k5_latwal_1))), inference(sr,[status(thm)],[c_0_80, c_0_81])).
cnf(c_0_93, negated_conjecture, (r2_tarski(esk3_1(k5_latwal_1),u1_struct_0(k5_latwal_1))), inference(sr,[status(thm)],[c_0_82, c_0_81])).
cnf(c_0_94, negated_conjecture, (r2_tarski(esk2_1(k5_latwal_1),u1_struct_0(k5_latwal_1))), inference(sr,[status(thm)],[c_0_83, c_0_81])).
cnf(c_0_95, 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_84])).
cnf(c_0_96, plain, (v6_lattices(k5_latwal_1)), inference(split_conjunct,[status(thm)],[c_0_85])).
fof(c_0_97, plain, ![X91]:((l1_lattices(X91)|~l3_lattices(X91))&(l2_lattices(X91)|~l3_lattices(X91))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l3_lattices])])])).
cnf(c_0_98, plain, (k4_lattices(k5_latwal_1,X1,X2)=np__1|~m1_subset_1(X1,u1_struct_0(k5_latwal_1))|~m1_subset_1(X2,u1_struct_0(k5_latwal_1))|X1!=np__1|X2!=np__2), inference(split_conjunct,[status(thm)],[c_0_86])).
cnf(c_0_99, plain, (m1_subset_1(X1,k1_enumset1(X2,X3,X1))), inference(spm,[status(thm)],[c_0_87, c_0_63])).
cnf(c_0_100, plain, (m1_subset_1(X1,k1_enumset1(X2,X1,X3))), inference(spm,[status(thm)],[c_0_87, c_0_88])).
fof(c_0_101, plain, ![X116, X117]:(~m1_subset_1(X116,u1_struct_0(k5_latwal_1))|(~m1_subset_1(X117,u1_struct_0(k5_latwal_1))|(X116!=k5_ordinal1|X117!=np__2|k4_lattices(k5_latwal_1,X116,X117)=np__2))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[l42_latwal_2])])])).
cnf(c_0_102, plain, (r2_tarski(X1,k1_enumset1(X1,X2,X3))), inference(spm,[status(thm)],[c_0_52, c_0_89])).
cnf(c_0_103, plain, (X1=np__2|X1=np__1|X1=k5_ordinal1|~r2_hidden(X1,u1_struct_0(k5_latwal_1))), inference(spm,[status(thm)],[c_0_90, c_0_72])).
cnf(c_0_104, negated_conjecture, (r2_hidden(esk4_1(k5_latwal_1),u1_struct_0(k5_latwal_1))), inference(spm,[status(thm)],[c_0_91, c_0_92])).
cnf(c_0_105, negated_conjecture, (r2_hidden(esk3_1(k5_latwal_1),u1_struct_0(k5_latwal_1))), inference(spm,[status(thm)],[c_0_91, c_0_93])).
cnf(c_0_106, negated_conjecture, (r2_hidden(esk2_1(k5_latwal_1),u1_struct_0(k5_latwal_1))), inference(spm,[status(thm)],[c_0_91, c_0_94])).
fof(c_0_107, 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])).
cnf(c_0_108, negated_conjecture, (k2_lattices(k5_latwal_1,X1,esk3_1(k5_latwal_1))=k4_lattices(k5_latwal_1,X1,esk3_1(k5_latwal_1))|~l1_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_95, c_0_73]), c_0_96])]), c_0_61])).
cnf(c_0_109, plain, (l1_lattices(X1)|~l3_lattices(X1)), inference(split_conjunct,[status(thm)],[c_0_97])).
cnf(c_0_110, plain, (k4_lattices(k5_latwal_1,np__1,np__2)=np__1|~m1_subset_1(np__2,u1_struct_0(k5_latwal_1))|~m1_subset_1(np__1,u1_struct_0(k5_latwal_1))), inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_98])])).
cnf(c_0_111, plain, (m1_subset_1(np__2,u1_struct_0(k5_latwal_1))), inference(spm,[status(thm)],[c_0_99, c_0_72])).
cnf(c_0_112, plain, (m1_subset_1(np__1,u1_struct_0(k5_latwal_1))), inference(spm,[status(thm)],[c_0_100, c_0_72])).
cnf(c_0_113, plain, (k4_lattices(k5_latwal_1,X1,X2)=np__2|~m1_subset_1(X1,u1_struct_0(k5_latwal_1))|~m1_subset_1(X2,u1_struct_0(k5_latwal_1))|X1!=k5_ordinal1|X2!=np__2), inference(split_conjunct,[status(thm)],[c_0_101])).
cnf(c_0_114, plain, (m1_subset_1(X1,k1_enumset1(X1,X2,X3))), inference(spm,[status(thm)],[c_0_87, c_0_102])).
cnf(c_0_115, negated_conjecture, (k5_ordinal1=esk4_1(k5_latwal_1)|np__1=esk4_1(k5_latwal_1)|np__2=esk4_1(k5_latwal_1)), inference(spm,[status(thm)],[c_0_103, c_0_104])).
cnf(c_0_116, negated_conjecture, (k5_ordinal1=esk3_1(k5_latwal_1)|np__1=esk3_1(k5_latwal_1)|np__2=esk3_1(k5_latwal_1)), inference(spm,[status(thm)],[c_0_103, c_0_105])).
cnf(c_0_117, negated_conjecture, (k5_ordinal1=esk2_1(k5_latwal_1)|np__1=esk2_1(k5_latwal_1)|np__2=esk2_1(k5_latwal_1)), inference(spm,[status(thm)],[c_0_103, c_0_106])).
fof(c_0_118, plain, ![X126, X127, X128]:(v2_struct_0(X126)|~v4_lattices(X126)|~l2_lattices(X126)|~m1_subset_1(X127,u1_struct_0(X126))|~m1_subset_1(X128,u1_struct_0(X126))|k3_lattices(X126,X127,X128)=k1_lattices(X126,X127,X128)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_107])])).
fof(c_0_119, plain, ![X98, X99]:(~m1_subset_1(X98,u1_struct_0(k5_latwal_1))|(~m1_subset_1(X99,u1_struct_0(k5_latwal_1))|(X98!=np__2|X99!=np__1|k3_lattices(k5_latwal_1,X98,X99)=np__2))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[l33_latwal_2])])])).
cnf(c_0_120, negated_conjecture, (k2_lattices(k5_latwal_1,X1,esk3_1(k5_latwal_1))=k4_lattices(k5_latwal_1,X1,esk3_1(k5_latwal_1))|~m1_subset_1(X1,u1_struct_0(k5_latwal_1))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108, c_0_109]), c_0_56])])).
cnf(c_0_121, plain, (k4_lattices(k5_latwal_1,np__1,np__2)=np__1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_110, c_0_111])]), c_0_112])])).
cnf(c_0_122, plain, (k4_lattices(k5_latwal_1,k5_ordinal1,np__2)=np__2|~m1_subset_1(np__2,u1_struct_0(k5_latwal_1))|~m1_subset_1(k5_ordinal1,u1_struct_0(k5_latwal_1))), inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_113])])).
cnf(c_0_123, plain, (m1_subset_1(k5_ordinal1,u1_struct_0(k5_latwal_1))), inference(spm,[status(thm)],[c_0_114, c_0_72])).
cnf(c_0_124, negated_conjecture, (esk4_1(k5_latwal_1)=esk3_1(k5_latwal_1)|np__1=esk3_1(k5_latwal_1)|k5_ordinal1=esk3_1(k5_latwal_1)|np__1=esk4_1(k5_latwal_1)|k5_ordinal1=esk4_1(k5_latwal_1)), inference(spm,[status(thm)],[c_0_115, c_0_116])).
cnf(c_0_125, negated_conjecture, (esk2_1(k5_latwal_1)=esk3_1(k5_latwal_1)|np__1=esk2_1(k5_latwal_1)|k5_ordinal1=esk2_1(k5_latwal_1)|np__1=esk3_1(k5_latwal_1)|k5_ordinal1=esk3_1(k5_latwal_1)), inference(spm,[status(thm)],[c_0_116, c_0_117])).
cnf(c_0_126, 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_118])).
cnf(c_0_127, plain, (v4_lattices(k5_latwal_1)), inference(split_conjunct,[status(thm)],[c_0_85])).
cnf(c_0_128, plain, (k3_lattices(k5_latwal_1,X1,X2)=np__2|~m1_subset_1(X1,u1_struct_0(k5_latwal_1))|~m1_subset_1(X2,u1_struct_0(k5_latwal_1))|X1!=np__2|X2!=np__1), inference(split_conjunct,[status(thm)],[c_0_119])).
fof(c_0_129, plain, ![X110, X111]:(~m1_subset_1(X110,u1_struct_0(k5_latwal_1))|(~m1_subset_1(X111,u1_struct_0(k5_latwal_1))|(X110!=np__2|X111!=np__1|k4_lattices(k5_latwal_1,X110,X111)=np__1))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[l39_latwal_2])])])).
cnf(c_0_130, plain, (v2_latwal_1(X1)|v2_struct_0(X1)|k1_lattices(X1,k1_lattices(X1,k2_lattices(X1,esk4_1(X1),esk3_1(X1)),k2_lattices(X1,esk2_1(X1),esk3_1(X1))),esk3_1(X1))!=esk3_1(X1)|~l3_lattices(X1)), inference(split_conjunct,[status(thm)],[c_0_50])).
cnf(c_0_131, negated_conjecture, (k2_lattices(k5_latwal_1,esk4_1(k5_latwal_1),esk3_1(k5_latwal_1))=k4_lattices(k5_latwal_1,esk4_1(k5_latwal_1),esk3_1(k5_latwal_1))), inference(spm,[status(thm)],[c_0_120, c_0_70])).
cnf(c_0_132, negated_conjecture, (k2_lattices(k5_latwal_1,esk2_1(k5_latwal_1),esk3_1(k5_latwal_1))=k4_lattices(k5_latwal_1,esk2_1(k5_latwal_1),esk3_1(k5_latwal_1))), inference(spm,[status(thm)],[c_0_120, c_0_74])).
cnf(c_0_133, negated_conjecture, (k4_lattices(k5_latwal_1,np__1,esk3_1(k5_latwal_1))=np__1|np__1=esk3_1(k5_latwal_1)|k5_ordinal1=esk3_1(k5_latwal_1)), inference(spm,[status(thm)],[c_0_121, c_0_116])).
cnf(c_0_134, plain, (k4_lattices(k5_latwal_1,k5_ordinal1,np__2)=np__2), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_122, c_0_123])]), c_0_111])])).
cnf(c_0_135, negated_conjecture, (esk4_1(k5_latwal_1)=esk2_1(k5_latwal_1)|np__1=esk2_1(k5_latwal_1)|k5_ordinal1=esk2_1(k5_latwal_1)|np__1=esk4_1(k5_latwal_1)|k5_ordinal1=esk4_1(k5_latwal_1)), inference(spm,[status(thm)],[c_0_115, c_0_117])).
cnf(c_0_136, negated_conjecture, (esk4_1(k5_latwal_1)=esk2_1(k5_latwal_1)|esk2_1(k5_latwal_1)=esk3_1(k5_latwal_1)|esk4_1(k5_latwal_1)=esk3_1(k5_latwal_1)|np__1=esk3_1(k5_latwal_1)|k5_ordinal1=esk2_1(k5_latwal_1)|k5_ordinal1=esk4_1(k5_latwal_1)|k5_ordinal1=esk3_1(k5_latwal_1)), inference(spm,[status(thm)],[c_0_124, c_0_125])).
cnf(c_0_137, negated_conjecture, (k1_lattices(k5_latwal_1,X1,esk2_1(k5_latwal_1))=k3_lattices(k5_latwal_1,X1,esk2_1(k5_latwal_1))|~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_126, c_0_74]), c_0_127])]), c_0_61])).
cnf(c_0_138, plain, (l2_lattices(X1)|~l3_lattices(X1)), inference(split_conjunct,[status(thm)],[c_0_97])).
cnf(c_0_139, plain, (k3_lattices(k5_latwal_1,np__2,np__1)=np__2|~m1_subset_1(np__1,u1_struct_0(k5_latwal_1))|~m1_subset_1(np__2,u1_struct_0(k5_latwal_1))), inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_128])])).
fof(c_0_140, plain, ![X1, X2]:((((((~v2_struct_0(X1)&v6_lattices(X1))&v8_lattices(X1))&v9_lattices(X1))&l3_lattices(X1))&m1_subset_1(X2,u1_struct_0(X1)))=>k1_lattices(X1,X2,X2)=X2), inference(fof_simplification,[status(thm)],[rd1_lattices])).
cnf(c_0_141, plain, (k4_lattices(k5_latwal_1,X1,X2)=np__1|~m1_subset_1(X1,u1_struct_0(k5_latwal_1))|~m1_subset_1(X2,u1_struct_0(k5_latwal_1))|X1!=np__2|X2!=np__1), inference(split_conjunct,[status(thm)],[c_0_129])).
cnf(c_0_142, negated_conjecture, (k1_lattices(k5_latwal_1,k1_lattices(k5_latwal_1,k4_lattices(k5_latwal_1,esk4_1(k5_latwal_1),esk3_1(k5_latwal_1)),k4_lattices(k5_latwal_1,esk2_1(k5_latwal_1),esk3_1(k5_latwal_1))),esk3_1(k5_latwal_1))!=esk3_1(k5_latwal_1)), inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_130, c_0_131]), c_0_56])]), c_0_61]), c_0_59]), c_0_132])).
cnf(c_0_143, negated_conjecture, (k4_lattices(k5_latwal_1,esk2_1(k5_latwal_1),esk3_1(k5_latwal_1))=esk2_1(k5_latwal_1)|esk2_1(k5_latwal_1)=esk3_1(k5_latwal_1)|np__1=esk3_1(k5_latwal_1)|k5_ordinal1=esk2_1(k5_latwal_1)|k5_ordinal1=esk3_1(k5_latwal_1)), inference(spm,[status(thm)],[c_0_133, c_0_125])).
cnf(c_0_144, negated_conjecture, (k4_lattices(k5_latwal_1,k5_ordinal1,esk3_1(k5_latwal_1))=esk3_1(k5_latwal_1)|np__1=esk3_1(k5_latwal_1)|k5_ordinal1=esk3_1(k5_latwal_1)), inference(spm,[status(thm)],[c_0_134, c_0_116])).
cnf(c_0_145, negated_conjecture, (esk4_1(k5_latwal_1)=esk3_1(k5_latwal_1)|esk2_1(k5_latwal_1)=esk3_1(k5_latwal_1)|esk4_1(k5_latwal_1)=esk2_1(k5_latwal_1)|k5_ordinal1=esk3_1(k5_latwal_1)|k5_ordinal1=esk4_1(k5_latwal_1)|k5_ordinal1=esk2_1(k5_latwal_1)), inference(spm,[status(thm)],[c_0_135, c_0_136])).
cnf(c_0_146, negated_conjecture, (k1_lattices(k5_latwal_1,X1,esk2_1(k5_latwal_1))=k3_lattices(k5_latwal_1,X1,esk2_1(k5_latwal_1))|~m1_subset_1(X1,u1_struct_0(k5_latwal_1))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_137, c_0_138]), c_0_56])])).
cnf(c_0_147, plain, (k3_lattices(k5_latwal_1,np__2,np__1)=np__2), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_139, c_0_111])]), c_0_112])])).
fof(c_0_148, plain, ![X122, X123]:(v2_struct_0(X122)|~v6_lattices(X122)|~v8_lattices(X122)|~v9_lattices(X122)|~l3_lattices(X122)|~m1_subset_1(X123,u1_struct_0(X122))|k1_lattices(X122,X123,X123)=X123), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_140])])).
fof(c_0_149, plain, ![X112, X113]:(~m1_subset_1(X112,u1_struct_0(k5_latwal_1))|(~m1_subset_1(X113,u1_struct_0(k5_latwal_1))|(X112!=k5_ordinal1|X113!=np__1|k4_lattices(k5_latwal_1,X112,X113)=k5_ordinal1))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[l40_latwal_2])])])).
cnf(c_0_150, plain, (k4_lattices(k5_latwal_1,np__2,np__1)=np__1|~m1_subset_1(np__1,u1_struct_0(k5_latwal_1))|~m1_subset_1(np__2,u1_struct_0(k5_latwal_1))), inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_141])])).
cnf(c_0_151, negated_conjecture, (esk2_1(k5_latwal_1)=esk3_1(k5_latwal_1)|k5_ordinal1=esk3_1(k5_latwal_1)|k5_ordinal1=esk2_1(k5_latwal_1)|np__1=esk3_1(k5_latwal_1)|k1_lattices(k5_latwal_1,k1_lattices(k5_latwal_1,k4_lattices(k5_latwal_1,esk4_1(k5_latwal_1),esk3_1(k5_latwal_1)),esk2_1(k5_latwal_1)),esk3_1(k5_latwal_1))!=esk3_1(k5_latwal_1)), inference(spm,[status(thm)],[c_0_142, c_0_143])).
cnf(c_0_152, negated_conjecture, (k4_lattices(k5_latwal_1,esk4_1(k5_latwal_1),esk3_1(k5_latwal_1))=esk3_1(k5_latwal_1)|esk4_1(k5_latwal_1)=esk2_1(k5_latwal_1)|esk2_1(k5_latwal_1)=esk3_1(k5_latwal_1)|esk4_1(k5_latwal_1)=esk3_1(k5_latwal_1)|k5_ordinal1=esk2_1(k5_latwal_1)|k5_ordinal1=esk3_1(k5_latwal_1)|np__1=esk3_1(k5_latwal_1)), inference(spm,[status(thm)],[c_0_144, c_0_145])).
cnf(c_0_153, negated_conjecture, (k1_lattices(k5_latwal_1,esk3_1(k5_latwal_1),esk2_1(k5_latwal_1))=k3_lattices(k5_latwal_1,esk3_1(k5_latwal_1),esk2_1(k5_latwal_1))), inference(spm,[status(thm)],[c_0_146, c_0_73])).
cnf(c_0_154, negated_conjecture, (k3_lattices(k5_latwal_1,esk3_1(k5_latwal_1),np__1)=esk3_1(k5_latwal_1)|np__1=esk3_1(k5_latwal_1)|k5_ordinal1=esk3_1(k5_latwal_1)), inference(spm,[status(thm)],[c_0_147, c_0_116])).
cnf(c_0_155, plain, (v2_struct_0(X1)|k1_lattices(X1,X2,X2)=X2|~v6_lattices(X1)|~v8_lattices(X1)|~v9_lattices(X1)|~l3_lattices(X1)|~m1_subset_1(X2,u1_struct_0(X1))), inference(split_conjunct,[status(thm)],[c_0_148])).
cnf(c_0_156, plain, (v9_lattices(k5_latwal_1)), inference(split_conjunct,[status(thm)],[c_0_85])).
cnf(c_0_157, plain, (v8_lattices(k5_latwal_1)), inference(split_conjunct,[status(thm)],[c_0_85])).
cnf(c_0_158, plain, (k4_lattices(k5_latwal_1,X1,X2)=k5_ordinal1|~m1_subset_1(X1,u1_struct_0(k5_latwal_1))|~m1_subset_1(X2,u1_struct_0(k5_latwal_1))|X1!=k5_ordinal1|X2!=np__1), inference(split_conjunct,[status(thm)],[c_0_149])).
fof(c_0_159, plain, ![X102, X103]:(~m1_subset_1(X102,u1_struct_0(k5_latwal_1))|(~m1_subset_1(X103,u1_struct_0(k5_latwal_1))|(X102!=k5_ordinal1|X103!=np__1|k3_lattices(k5_latwal_1,X102,X103)=np__1))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[l35_latwal_2])])])).
cnf(c_0_160, plain, (k4_lattices(k5_latwal_1,np__2,np__1)=np__1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_150, c_0_111])]), c_0_112])])).
cnf(c_0_161, negated_conjecture, (esk4_1(k5_latwal_1)=esk3_1(k5_latwal_1)|esk4_1(k5_latwal_1)=esk2_1(k5_latwal_1)|esk2_1(k5_latwal_1)=esk3_1(k5_latwal_1)|np__1=esk3_1(k5_latwal_1)|k5_ordinal1=esk2_1(k5_latwal_1)|k5_ordinal1=esk3_1(k5_latwal_1)|k1_lattices(k5_latwal_1,k3_lattices(k5_latwal_1,esk3_1(k5_latwal_1),esk2_1(k5_latwal_1)),esk3_1(k5_latwal_1))!=esk3_1(k5_latwal_1)), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_151, c_0_152]), c_0_153])).
cnf(c_0_162, negated_conjecture, (k3_lattices(k5_latwal_1,esk3_1(k5_latwal_1),esk2_1(k5_latwal_1))=esk3_1(k5_latwal_1)|esk2_1(k5_latwal_1)=esk3_1(k5_latwal_1)|np__1=esk3_1(k5_latwal_1)|k5_ordinal1=esk2_1(k5_latwal_1)|k5_ordinal1=esk3_1(k5_latwal_1)), inference(spm,[status(thm)],[c_0_154, c_0_125])).
cnf(c_0_163, negated_conjecture, (k1_lattices(k5_latwal_1,esk3_1(k5_latwal_1),esk3_1(k5_latwal_1))=esk3_1(k5_latwal_1)), 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(spm,[status(thm)],[c_0_155, c_0_73]), c_0_156]), c_0_157]), c_0_96]), c_0_56])]), c_0_61])).
cnf(c_0_164, plain, (k4_lattices(k5_latwal_1,k5_ordinal1,np__1)=k5_ordinal1|~m1_subset_1(np__1,u1_struct_0(k5_latwal_1))|~m1_subset_1(k5_ordinal1,u1_struct_0(k5_latwal_1))), inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_158])])).
cnf(c_0_165, plain, (k3_lattices(k5_latwal_1,X1,X2)=np__1|~m1_subset_1(X1,u1_struct_0(k5_latwal_1))|~m1_subset_1(X2,u1_struct_0(k5_latwal_1))|X1!=k5_ordinal1|X2!=np__1), inference(split_conjunct,[status(thm)],[c_0_159])).
cnf(c_0_166, negated_conjecture, (k4_lattices(k5_latwal_1,esk2_1(k5_latwal_1),np__1)=np__1|np__1=esk2_1(k5_latwal_1)|k5_ordinal1=esk2_1(k5_latwal_1)), inference(spm,[status(thm)],[c_0_160, c_0_117])).
cnf(c_0_167, negated_conjecture, (esk2_1(k5_latwal_1)=esk3_1(k5_latwal_1)|esk4_1(k5_latwal_1)=esk2_1(k5_latwal_1)|esk4_1(k5_latwal_1)=esk3_1(k5_latwal_1)|k5_ordinal1=esk3_1(k5_latwal_1)|k5_ordinal1=esk2_1(k5_latwal_1)|np__1=esk3_1(k5_latwal_1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_161, c_0_162]), c_0_163])])).
cnf(c_0_168, plain, (k4_lattices(k5_latwal_1,k5_ordinal1,np__1)=k5_ordinal1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_164, c_0_123])]), c_0_112])])).
cnf(c_0_169, negated_conjecture, (k1_lattices(k5_latwal_1,X1,esk3_1(k5_latwal_1))=k3_lattices(k5_latwal_1,X1,esk3_1(k5_latwal_1))|~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_126, c_0_73]), c_0_127])]), c_0_61])).
cnf(c_0_170, plain, (k3_lattices(k5_latwal_1,k5_ordinal1,np__1)=np__1|~m1_subset_1(np__1,u1_struct_0(k5_latwal_1))|~m1_subset_1(k5_ordinal1,u1_struct_0(k5_latwal_1))), inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_165])])).
cnf(c_0_171, negated_conjecture, (k4_lattices(k5_latwal_1,esk2_1(k5_latwal_1),esk3_1(k5_latwal_1))=esk3_1(k5_latwal_1)|esk4_1(k5_latwal_1)=esk3_1(k5_latwal_1)|esk4_1(k5_latwal_1)=esk2_1(k5_latwal_1)|esk2_1(k5_latwal_1)=esk3_1(k5_latwal_1)|k5_ordinal1=esk3_1(k5_latwal_1)|k5_ordinal1=esk2_1(k5_latwal_1)), inference(spm,[status(thm)],[c_0_166, c_0_167])).
cnf(c_0_172, negated_conjecture, (k4_lattices(k5_latwal_1,esk4_1(k5_latwal_1),np__1)=esk4_1(k5_latwal_1)|esk4_1(k5_latwal_1)=esk2_1(k5_latwal_1)|esk2_1(k5_latwal_1)=esk3_1(k5_latwal_1)|esk4_1(k5_latwal_1)=esk3_1(k5_latwal_1)|k5_ordinal1=esk2_1(k5_latwal_1)|k5_ordinal1=esk3_1(k5_latwal_1)), inference(spm,[status(thm)],[c_0_168, c_0_145])).
cnf(c_0_173, negated_conjecture, (k1_lattices(k5_latwal_1,X1,esk3_1(k5_latwal_1))=k3_lattices(k5_latwal_1,X1,esk3_1(k5_latwal_1))|~m1_subset_1(X1,u1_struct_0(k5_latwal_1))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_169, c_0_138]), c_0_56])])).
cnf(c_0_174, plain, (k3_lattices(k5_latwal_1,k5_ordinal1,np__1)=np__1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_170, c_0_123])]), c_0_112])])).
fof(c_0_175, plain, ![X100, X101]:(~m1_subset_1(X100,u1_struct_0(k5_latwal_1))|(~m1_subset_1(X101,u1_struct_0(k5_latwal_1))|(X100!=np__1|X101!=np__2|k3_lattices(k5_latwal_1,X100,X101)=np__2))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[l34_latwal_2])])])).
cnf(c_0_176, negated_conjecture, (esk2_1(k5_latwal_1)=esk3_1(k5_latwal_1)|esk4_1(k5_latwal_1)=esk2_1(k5_latwal_1)|esk4_1(k5_latwal_1)=esk3_1(k5_latwal_1)|k5_ordinal1=esk2_1(k5_latwal_1)|k5_ordinal1=esk3_1(k5_latwal_1)|k1_lattices(k5_latwal_1,k1_lattices(k5_latwal_1,k4_lattices(k5_latwal_1,esk4_1(k5_latwal_1),esk3_1(k5_latwal_1)),esk3_1(k5_latwal_1)),esk3_1(k5_latwal_1))!=esk3_1(k5_latwal_1)), inference(spm,[status(thm)],[c_0_142, c_0_171])).
cnf(c_0_177, negated_conjecture, (k4_lattices(k5_latwal_1,esk4_1(k5_latwal_1),esk3_1(k5_latwal_1))=esk4_1(k5_latwal_1)|esk4_1(k5_latwal_1)=esk3_1(k5_latwal_1)|esk2_1(k5_latwal_1)=esk3_1(k5_latwal_1)|esk4_1(k5_latwal_1)=esk2_1(k5_latwal_1)|k5_ordinal1=esk3_1(k5_latwal_1)|k5_ordinal1=esk2_1(k5_latwal_1)), inference(spm,[status(thm)],[c_0_172, c_0_167])).
cnf(c_0_178, negated_conjecture, (k1_lattices(k5_latwal_1,esk4_1(k5_latwal_1),esk3_1(k5_latwal_1))=k3_lattices(k5_latwal_1,esk4_1(k5_latwal_1),esk3_1(k5_latwal_1))), inference(spm,[status(thm)],[c_0_173, c_0_70])).
cnf(c_0_179, negated_conjecture, (k3_lattices(k5_latwal_1,esk4_1(k5_latwal_1),np__1)=np__1|esk4_1(k5_latwal_1)=esk2_1(k5_latwal_1)|esk2_1(k5_latwal_1)=esk3_1(k5_latwal_1)|esk4_1(k5_latwal_1)=esk3_1(k5_latwal_1)|k5_ordinal1=esk2_1(k5_latwal_1)|k5_ordinal1=esk3_1(k5_latwal_1)), inference(spm,[status(thm)],[c_0_174, c_0_145])).
cnf(c_0_180, plain, (k3_lattices(k5_latwal_1,X1,X2)=np__2|~m1_subset_1(X1,u1_struct_0(k5_latwal_1))|~m1_subset_1(X2,u1_struct_0(k5_latwal_1))|X1!=np__1|X2!=np__2), inference(split_conjunct,[status(thm)],[c_0_175])).
cnf(c_0_181, negated_conjecture, (esk4_1(k5_latwal_1)=esk3_1(k5_latwal_1)|esk4_1(k5_latwal_1)=esk2_1(k5_latwal_1)|esk2_1(k5_latwal_1)=esk3_1(k5_latwal_1)|k5_ordinal1=esk3_1(k5_latwal_1)|k5_ordinal1=esk2_1(k5_latwal_1)|k1_lattices(k5_latwal_1,k3_lattices(k5_latwal_1,esk4_1(k5_latwal_1),esk3_1(k5_latwal_1)),esk3_1(k5_latwal_1))!=esk3_1(k5_latwal_1)), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_176, c_0_177]), c_0_178])).
cnf(c_0_182, negated_conjecture, (k3_lattices(k5_latwal_1,esk4_1(k5_latwal_1),esk3_1(k5_latwal_1))=esk3_1(k5_latwal_1)|esk4_1(k5_latwal_1)=esk3_1(k5_latwal_1)|esk2_1(k5_latwal_1)=esk3_1(k5_latwal_1)|esk4_1(k5_latwal_1)=esk2_1(k5_latwal_1)|k5_ordinal1=esk3_1(k5_latwal_1)|k5_ordinal1=esk2_1(k5_latwal_1)), inference(spm,[status(thm)],[c_0_179, c_0_167])).
cnf(c_0_183, plain, (k3_lattices(k5_latwal_1,np__1,np__2)=np__2|~m1_subset_1(np__2,u1_struct_0(k5_latwal_1))|~m1_subset_1(np__1,u1_struct_0(k5_latwal_1))), inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_180])])).
cnf(c_0_184, negated_conjecture, (k4_lattices(k5_latwal_1,esk4_1(k5_latwal_1),esk3_1(k5_latwal_1))=esk4_1(k5_latwal_1)|esk4_1(k5_latwal_1)=esk3_1(k5_latwal_1)|k5_ordinal1=esk4_1(k5_latwal_1)|np__1=esk3_1(k5_latwal_1)|k5_ordinal1=esk3_1(k5_latwal_1)), inference(spm,[status(thm)],[c_0_133, c_0_124])).
cnf(c_0_185, negated_conjecture, (esk2_1(k5_latwal_1)=esk3_1(k5_latwal_1)|esk4_1(k5_latwal_1)=esk2_1(k5_latwal_1)|esk4_1(k5_latwal_1)=esk3_1(k5_latwal_1)|k5_ordinal1=esk2_1(k5_latwal_1)|k5_ordinal1=esk3_1(k5_latwal_1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_181, c_0_182]), c_0_163])])).
cnf(c_0_186, plain, (k3_lattices(k5_latwal_1,np__1,np__2)=np__2), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_183, c_0_111])]), c_0_112])])).
cnf(c_0_187, negated_conjecture, (esk4_1(k5_latwal_1)=esk3_1(k5_latwal_1)|k5_ordinal1=esk3_1(k5_latwal_1)|np__1=esk3_1(k5_latwal_1)|k5_ordinal1=esk4_1(k5_latwal_1)|k1_lattices(k5_latwal_1,k1_lattices(k5_latwal_1,esk4_1(k5_latwal_1),k4_lattices(k5_latwal_1,esk2_1(k5_latwal_1),esk3_1(k5_latwal_1))),esk3_1(k5_latwal_1))!=esk3_1(k5_latwal_1)), inference(spm,[status(thm)],[c_0_142, c_0_184])).
cnf(c_0_188, negated_conjecture, (k4_lattices(k5_latwal_1,esk2_1(k5_latwal_1),esk3_1(k5_latwal_1))=esk3_1(k5_latwal_1)|esk4_1(k5_latwal_1)=esk3_1(k5_latwal_1)|esk4_1(k5_latwal_1)=esk2_1(k5_latwal_1)|esk2_1(k5_latwal_1)=esk3_1(k5_latwal_1)|k5_ordinal1=esk3_1(k5_latwal_1)|np__1=esk3_1(k5_latwal_1)), inference(spm,[status(thm)],[c_0_144, c_0_185])).
cnf(c_0_189, negated_conjecture, (k3_lattices(k5_latwal_1,np__1,esk3_1(k5_latwal_1))=esk3_1(k5_latwal_1)|np__1=esk3_1(k5_latwal_1)|k5_ordinal1=esk3_1(k5_latwal_1)), inference(spm,[status(thm)],[c_0_186, c_0_116])).
cnf(c_0_190, negated_conjecture, (esk2_1(k5_latwal_1)=esk3_1(k5_latwal_1)|esk4_1(k5_latwal_1)=esk2_1(k5_latwal_1)|esk4_1(k5_latwal_1)=esk3_1(k5_latwal_1)|k5_ordinal1=esk4_1(k5_latwal_1)|np__1=esk3_1(k5_latwal_1)|k5_ordinal1=esk3_1(k5_latwal_1)|k1_lattices(k5_latwal_1,k3_lattices(k5_latwal_1,esk4_1(k5_latwal_1),esk3_1(k5_latwal_1)),esk3_1(k5_latwal_1))!=esk3_1(k5_latwal_1)), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_187, c_0_188]), c_0_178])).
cnf(c_0_191, negated_conjecture, (k3_lattices(k5_latwal_1,esk4_1(k5_latwal_1),esk3_1(k5_latwal_1))=esk3_1(k5_latwal_1)|esk4_1(k5_latwal_1)=esk3_1(k5_latwal_1)|k5_ordinal1=esk4_1(k5_latwal_1)|np__1=esk3_1(k5_latwal_1)|k5_ordinal1=esk3_1(k5_latwal_1)), inference(spm,[status(thm)],[c_0_189, c_0_124])).
cnf(c_0_192, negated_conjecture, (k1_enumset1(esk2_1(k5_latwal_1),np__1,np__2)=u1_struct_0(k5_latwal_1)|esk4_1(k5_latwal_1)=esk3_1(k5_latwal_1)|esk4_1(k5_latwal_1)=esk2_1(k5_latwal_1)|esk2_1(k5_latwal_1)=esk3_1(k5_latwal_1)|k5_ordinal1=esk3_1(k5_latwal_1)), inference(spm,[status(thm)],[c_0_72, c_0_185])).
cnf(c_0_193, negated_conjecture, (esk4_1(k5_latwal_1)=esk3_1(k5_latwal_1)|esk4_1(k5_latwal_1)=esk2_1(k5_latwal_1)|esk2_1(k5_latwal_1)=esk3_1(k5_latwal_1)|k5_ordinal1=esk3_1(k5_latwal_1)|np__1=esk3_1(k5_latwal_1)|k5_ordinal1=esk4_1(k5_latwal_1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_190, c_0_191]), c_0_163])])).
fof(c_0_194, plain, ![X106, X107]:(~m1_subset_1(X106,u1_struct_0(k5_latwal_1))|(~m1_subset_1(X107,u1_struct_0(k5_latwal_1))|(X106!=np__1|X107!=k5_ordinal1|k3_lattices(k5_latwal_1,X106,X107)=np__1))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[l37_latwal_2])])])).
cnf(c_0_195, negated_conjecture, (esk2_1(k5_latwal_1)=esk3_1(k5_latwal_1)|esk4_1(k5_latwal_1)=esk2_1(k5_latwal_1)|esk4_1(k5_latwal_1)=esk3_1(k5_latwal_1)|k5_ordinal1=esk3_1(k5_latwal_1)|X1=esk2_1(k5_latwal_1)|X1=np__2|X1=np__1|~r2_hidden(X1,u1_struct_0(k5_latwal_1))), inference(spm,[status(thm)],[c_0_90, c_0_192])).
cnf(c_0_196, negated_conjecture, (k4_lattices(k5_latwal_1,k5_ordinal1,esk3_1(k5_latwal_1))=k5_ordinal1|esk2_1(k5_latwal_1)=esk3_1(k5_latwal_1)|esk4_1(k5_latwal_1)=esk2_1(k5_latwal_1)|esk4_1(k5_latwal_1)=esk3_1(k5_latwal_1)|k5_ordinal1=esk4_1(k5_latwal_1)|k5_ordinal1=esk3_1(k5_latwal_1)), inference(spm,[status(thm)],[c_0_168, c_0_193])).
cnf(c_0_197, plain, (k3_lattices(k5_latwal_1,X1,X2)=np__1|~m1_subset_1(X1,u1_struct_0(k5_latwal_1))|~m1_subset_1(X2,u1_struct_0(k5_latwal_1))|X1!=np__1|X2!=k5_ordinal1), inference(split_conjunct,[status(thm)],[c_0_194])).
fof(c_0_198, plain, ![X114, X115]:(~m1_subset_1(X114,u1_struct_0(k5_latwal_1))|(~m1_subset_1(X115,u1_struct_0(k5_latwal_1))|(X114!=np__2|X115!=k5_ordinal1|k4_lattices(k5_latwal_1,X114,X115)=np__2))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[l41_latwal_2])])])).
cnf(c_0_199, negated_conjecture, (esk4_1(k5_latwal_1)=esk3_1(k5_latwal_1)|esk4_1(k5_latwal_1)=esk2_1(k5_latwal_1)|esk2_1(k5_latwal_1)=esk3_1(k5_latwal_1)|np__1=esk4_1(k5_latwal_1)|np__2=esk4_1(k5_latwal_1)|k5_ordinal1=esk3_1(k5_latwal_1)), inference(spm,[status(thm)],[c_0_195, c_0_104])).
cnf(c_0_200, negated_conjecture, (k4_lattices(k5_latwal_1,esk2_1(k5_latwal_1),esk3_1(k5_latwal_1))=esk2_1(k5_latwal_1)|esk4_1(k5_latwal_1)=esk3_1(k5_latwal_1)|esk4_1(k5_latwal_1)=esk2_1(k5_latwal_1)|esk2_1(k5_latwal_1)=esk3_1(k5_latwal_1)|k5_ordinal1=esk3_1(k5_latwal_1)), inference(spm,[status(thm)],[c_0_196, c_0_185])).
cnf(c_0_201, plain, (k3_lattices(k5_latwal_1,np__1,k5_ordinal1)=np__1|~m1_subset_1(k5_ordinal1,u1_struct_0(k5_latwal_1))|~m1_subset_1(np__1,u1_struct_0(k5_latwal_1))), inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_197])])).
cnf(c_0_202, plain, (k4_lattices(k5_latwal_1,X1,X2)=np__2|~m1_subset_1(X1,u1_struct_0(k5_latwal_1))|~m1_subset_1(X2,u1_struct_0(k5_latwal_1))|X1!=np__2|X2!=k5_ordinal1), inference(split_conjunct,[status(thm)],[c_0_198])).
cnf(c_0_203, negated_conjecture, (k4_lattices(k5_latwal_1,esk4_1(k5_latwal_1),np__1)=np__1|esk2_1(k5_latwal_1)=esk3_1(k5_latwal_1)|esk4_1(k5_latwal_1)=esk2_1(k5_latwal_1)|esk4_1(k5_latwal_1)=esk3_1(k5_latwal_1)|k5_ordinal1=esk3_1(k5_latwal_1)|np__1=esk4_1(k5_latwal_1)), inference(spm,[status(thm)],[c_0_160, c_0_199])).
cnf(c_0_204, negated_conjecture, (esk4_1(k5_latwal_1)=esk2_1(k5_latwal_1)|esk4_1(k5_latwal_1)=esk3_1(k5_latwal_1)|esk2_1(k5_latwal_1)=esk3_1(k5_latwal_1)|np__1=esk3_1(k5_latwal_1)|k5_ordinal1=esk3_1(k5_latwal_1)), inference(spm,[status(thm)],[c_0_188, c_0_200])).
cnf(c_0_205, plain, (k3_lattices(k5_latwal_1,np__1,k5_ordinal1)=np__1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_201, c_0_123])]), c_0_112])])).
fof(c_0_206, plain, ![X120, X121]:(~m1_subset_1(X120,u1_struct_0(k5_latwal_1))|(~m1_subset_1(X121,u1_struct_0(k5_latwal_1))|(X120!=np__1|X121!=k5_ordinal1|k4_lattices(k5_latwal_1,X120,X121)=k5_ordinal1))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[l44_latwal_2])])])).
cnf(c_0_207, plain, (k4_lattices(k5_latwal_1,np__2,k5_ordinal1)=np__2|~m1_subset_1(k5_ordinal1,u1_struct_0(k5_latwal_1))|~m1_subset_1(np__2,u1_struct_0(k5_latwal_1))), inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_202])])).
cnf(c_0_208, negated_conjecture, (esk2_1(k5_latwal_1)=esk3_1(k5_latwal_1)|esk4_1(k5_latwal_1)=esk2_1(k5_latwal_1)|esk4_1(k5_latwal_1)=esk3_1(k5_latwal_1)|k5_ordinal1=esk3_1(k5_latwal_1)|k1_lattices(k5_latwal_1,k1_lattices(k5_latwal_1,k4_lattices(k5_latwal_1,esk4_1(k5_latwal_1),esk3_1(k5_latwal_1)),esk2_1(k5_latwal_1)),esk3_1(k5_latwal_1))!=esk3_1(k5_latwal_1)), inference(spm,[status(thm)],[c_0_142, c_0_200])).
cnf(c_0_209, negated_conjecture, (k4_lattices(k5_latwal_1,esk4_1(k5_latwal_1),esk3_1(k5_latwal_1))=esk3_1(k5_latwal_1)|esk4_1(k5_latwal_1)=esk3_1(k5_latwal_1)|esk4_1(k5_latwal_1)=esk2_1(k5_latwal_1)|esk2_1(k5_latwal_1)=esk3_1(k5_latwal_1)|k5_ordinal1=esk3_1(k5_latwal_1)), inference(spm,[status(thm)],[c_0_203, c_0_204])).
cnf(c_0_210, negated_conjecture, (k3_lattices(k5_latwal_1,np__1,esk2_1(k5_latwal_1))=np__1|esk4_1(k5_latwal_1)=esk3_1(k5_latwal_1)|esk4_1(k5_latwal_1)=esk2_1(k5_latwal_1)|esk2_1(k5_latwal_1)=esk3_1(k5_latwal_1)|k5_ordinal1=esk3_1(k5_latwal_1)), inference(spm,[status(thm)],[c_0_205, c_0_185])).
cnf(c_0_211, plain, (k4_lattices(k5_latwal_1,X1,X2)=k5_ordinal1|~m1_subset_1(X1,u1_struct_0(k5_latwal_1))|~m1_subset_1(X2,u1_struct_0(k5_latwal_1))|X1!=np__1|X2!=k5_ordinal1), inference(split_conjunct,[status(thm)],[c_0_206])).
fof(c_0_212, plain, ![X108, X109]:(~m1_subset_1(X108,u1_struct_0(k5_latwal_1))|(~m1_subset_1(X109,u1_struct_0(k5_latwal_1))|(X108!=k5_ordinal1|X109!=np__2|k3_lattices(k5_latwal_1,X108,X109)=k5_ordinal1))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[l38_latwal_2])])])).
cnf(c_0_213, plain, (k4_lattices(k5_latwal_1,np__2,k5_ordinal1)=np__2), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_207, c_0_123])]), c_0_111])])).
cnf(c_0_214, negated_conjecture, (esk4_1(k5_latwal_1)=esk3_1(k5_latwal_1)|esk4_1(k5_latwal_1)=esk2_1(k5_latwal_1)|esk2_1(k5_latwal_1)=esk3_1(k5_latwal_1)|k5_ordinal1=esk3_1(k5_latwal_1)|k1_lattices(k5_latwal_1,k3_lattices(k5_latwal_1,esk3_1(k5_latwal_1),esk2_1(k5_latwal_1)),esk3_1(k5_latwal_1))!=esk3_1(k5_latwal_1)), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_208, c_0_209]), c_0_153])).
cnf(c_0_215, negated_conjecture, (k3_lattices(k5_latwal_1,esk3_1(k5_latwal_1),esk2_1(k5_latwal_1))=esk3_1(k5_latwal_1)|esk2_1(k5_latwal_1)=esk3_1(k5_latwal_1)|esk4_1(k5_latwal_1)=esk2_1(k5_latwal_1)|esk4_1(k5_latwal_1)=esk3_1(k5_latwal_1)|k5_ordinal1=esk3_1(k5_latwal_1)), inference(spm,[status(thm)],[c_0_210, c_0_204])).
cnf(c_0_216, plain, (k4_lattices(k5_latwal_1,np__1,k5_ordinal1)=k5_ordinal1|~m1_subset_1(k5_ordinal1,u1_struct_0(k5_latwal_1))|~m1_subset_1(np__1,u1_struct_0(k5_latwal_1))), inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_211])])).
cnf(c_0_217, plain, (k3_lattices(k5_latwal_1,X1,X2)=k5_ordinal1|~m1_subset_1(X1,u1_struct_0(k5_latwal_1))|~m1_subset_1(X2,u1_struct_0(k5_latwal_1))|X1!=k5_ordinal1|X2!=np__2), inference(split_conjunct,[status(thm)],[c_0_212])).
cnf(c_0_218, negated_conjecture, (k4_lattices(k5_latwal_1,esk2_1(k5_latwal_1),k5_ordinal1)=esk2_1(k5_latwal_1)|np__1=esk2_1(k5_latwal_1)|k5_ordinal1=esk2_1(k5_latwal_1)), inference(spm,[status(thm)],[c_0_213, c_0_117])).
cnf(c_0_219, negated_conjecture, (esk2_1(k5_latwal_1)=esk3_1(k5_latwal_1)|esk4_1(k5_latwal_1)=esk2_1(k5_latwal_1)|esk4_1(k5_latwal_1)=esk3_1(k5_latwal_1)|k5_ordinal1=esk3_1(k5_latwal_1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_214, c_0_215]), c_0_163])])).
cnf(c_0_220, plain, (k4_lattices(k5_latwal_1,np__1,k5_ordinal1)=k5_ordinal1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_216, c_0_123])]), c_0_112])])).
cnf(c_0_221, plain, (k3_lattices(k5_latwal_1,k5_ordinal1,np__2)=k5_ordinal1|~m1_subset_1(np__2,u1_struct_0(k5_latwal_1))|~m1_subset_1(k5_ordinal1,u1_struct_0(k5_latwal_1))), inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_217])])).
cnf(c_0_222, negated_conjecture, (k4_lattices(k5_latwal_1,esk2_1(k5_latwal_1),esk3_1(k5_latwal_1))=esk2_1(k5_latwal_1)|esk4_1(k5_latwal_1)=esk3_1(k5_latwal_1)|esk4_1(k5_latwal_1)=esk2_1(k5_latwal_1)|esk2_1(k5_latwal_1)=esk3_1(k5_latwal_1)|np__1=esk2_1(k5_latwal_1)), inference(spm,[status(thm)],[c_0_218, c_0_219])).
cnf(c_0_223, negated_conjecture, (k4_lattices(k5_latwal_1,esk4_1(k5_latwal_1),k5_ordinal1)=k5_ordinal1|esk4_1(k5_latwal_1)=esk2_1(k5_latwal_1)|k5_ordinal1=esk4_1(k5_latwal_1)|k5_ordinal1=esk2_1(k5_latwal_1)|np__1=esk2_1(k5_latwal_1)), inference(spm,[status(thm)],[c_0_220, c_0_135])).
cnf(c_0_224, plain, (k3_lattices(k5_latwal_1,k5_ordinal1,np__2)=k5_ordinal1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_221, c_0_123])]), c_0_111])])).
fof(c_0_225, plain, ![X104, X105]:(~m1_subset_1(X104,u1_struct_0(k5_latwal_1))|(~m1_subset_1(X105,u1_struct_0(k5_latwal_1))|(X104!=np__2|X105!=k5_ordinal1|k3_lattices(k5_latwal_1,X104,X105)=k5_ordinal1))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[l36_latwal_2])])])).
cnf(c_0_226, negated_conjecture, (esk2_1(k5_latwal_1)=esk3_1(k5_latwal_1)|esk4_1(k5_latwal_1)=esk2_1(k5_latwal_1)|esk4_1(k5_latwal_1)=esk3_1(k5_latwal_1)|np__1=esk2_1(k5_latwal_1)|k1_lattices(k5_latwal_1,k1_lattices(k5_latwal_1,k4_lattices(k5_latwal_1,esk4_1(k5_latwal_1),esk3_1(k5_latwal_1)),esk2_1(k5_latwal_1)),esk3_1(k5_latwal_1))!=esk3_1(k5_latwal_1)), inference(spm,[status(thm)],[c_0_142, c_0_222])).
cnf(c_0_227, negated_conjecture, (k4_lattices(k5_latwal_1,esk4_1(k5_latwal_1),esk3_1(k5_latwal_1))=esk3_1(k5_latwal_1)|esk2_1(k5_latwal_1)=esk3_1(k5_latwal_1)|esk4_1(k5_latwal_1)=esk3_1(k5_latwal_1)|esk4_1(k5_latwal_1)=esk2_1(k5_latwal_1)|np__1=esk2_1(k5_latwal_1)), inference(spm,[status(thm)],[c_0_223, c_0_219])).
cnf(c_0_228, negated_conjecture, (k3_lattices(k5_latwal_1,k5_ordinal1,esk2_1(k5_latwal_1))=k5_ordinal1|np__1=esk2_1(k5_latwal_1)|k5_ordinal1=esk2_1(k5_latwal_1)), inference(spm,[status(thm)],[c_0_224, c_0_117])).
cnf(c_0_229, plain, (k3_lattices(k5_latwal_1,X1,X2)=k5_ordinal1|~m1_subset_1(X1,u1_struct_0(k5_latwal_1))|~m1_subset_1(X2,u1_struct_0(k5_latwal_1))|X1!=np__2|X2!=k5_ordinal1), inference(split_conjunct,[status(thm)],[c_0_225])).
cnf(c_0_230, negated_conjecture, (k4_lattices(k5_latwal_1,esk4_1(k5_latwal_1),k5_ordinal1)=esk4_1(k5_latwal_1)|np__1=esk4_1(k5_latwal_1)|k5_ordinal1=esk4_1(k5_latwal_1)), inference(spm,[status(thm)],[c_0_213, c_0_115])).
cnf(c_0_231, negated_conjecture, (esk4_1(k5_latwal_1)=esk3_1(k5_latwal_1)|esk4_1(k5_latwal_1)=esk2_1(k5_latwal_1)|esk2_1(k5_latwal_1)=esk3_1(k5_latwal_1)|np__1=esk2_1(k5_latwal_1)|k1_lattices(k5_latwal_1,k3_lattices(k5_latwal_1,esk3_1(k5_latwal_1),esk2_1(k5_latwal_1)),esk3_1(k5_latwal_1))!=esk3_1(k5_latwal_1)), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_226, c_0_227]), c_0_153])).
cnf(c_0_232, negated_conjecture, (k3_lattices(k5_latwal_1,esk3_1(k5_latwal_1),esk2_1(k5_latwal_1))=esk3_1(k5_latwal_1)|esk4_1(k5_latwal_1)=esk3_1(k5_latwal_1)|esk4_1(k5_latwal_1)=esk2_1(k5_latwal_1)|esk2_1(k5_latwal_1)=esk3_1(k5_latwal_1)|np__1=esk2_1(k5_latwal_1)), inference(spm,[status(thm)],[c_0_228, c_0_219])).
cnf(c_0_233, plain, (k3_lattices(k5_latwal_1,np__2,k5_ordinal1)=k5_ordinal1|~m1_subset_1(k5_ordinal1,u1_struct_0(k5_latwal_1))|~m1_subset_1(np__2,u1_struct_0(k5_latwal_1))), inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_229])])).
cnf(c_0_234, negated_conjecture, (k4_lattices(k5_latwal_1,esk4_1(k5_latwal_1),esk3_1(k5_latwal_1))=esk4_1(k5_latwal_1)|esk4_1(k5_latwal_1)=esk2_1(k5_latwal_1)|esk2_1(k5_latwal_1)=esk3_1(k5_latwal_1)|esk4_1(k5_latwal_1)=esk3_1(k5_latwal_1)|np__1=esk4_1(k5_latwal_1)), inference(spm,[status(thm)],[c_0_230, c_0_219])).
cnf(c_0_235, negated_conjecture, (k4_lattices(k5_latwal_1,np__1,esk3_1(k5_latwal_1))=esk3_1(k5_latwal_1)|esk4_1(k5_latwal_1)=esk3_1(k5_latwal_1)|esk4_1(k5_latwal_1)=esk2_1(k5_latwal_1)|esk2_1(k5_latwal_1)=esk3_1(k5_latwal_1)), inference(spm,[status(thm)],[c_0_220, c_0_219])).
cnf(c_0_236, negated_conjecture, (esk2_1(k5_latwal_1)=esk3_1(k5_latwal_1)|esk4_1(k5_latwal_1)=esk2_1(k5_latwal_1)|esk4_1(k5_latwal_1)=esk3_1(k5_latwal_1)|np__1=esk2_1(k5_latwal_1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_231, c_0_232]), c_0_163])])).
cnf(c_0_237, plain, (k3_lattices(k5_latwal_1,np__2,k5_ordinal1)=k5_ordinal1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_233, c_0_123])]), c_0_111])])).
cnf(c_0_238, negated_conjecture, (esk4_1(k5_latwal_1)=esk3_1(k5_latwal_1)|esk2_1(k5_latwal_1)=esk3_1(k5_latwal_1)|esk4_1(k5_latwal_1)=esk2_1(k5_latwal_1)|np__1=esk4_1(k5_latwal_1)|k1_lattices(k5_latwal_1,k1_lattices(k5_latwal_1,esk4_1(k5_latwal_1),k4_lattices(k5_latwal_1,esk2_1(k5_latwal_1),esk3_1(k5_latwal_1))),esk3_1(k5_latwal_1))!=esk3_1(k5_latwal_1)), inference(spm,[status(thm)],[c_0_142, c_0_234])).
cnf(c_0_239, negated_conjecture, (k4_lattices(k5_latwal_1,esk2_1(k5_latwal_1),esk3_1(k5_latwal_1))=esk3_1(k5_latwal_1)|esk2_1(k5_latwal_1)=esk3_1(k5_latwal_1)|esk4_1(k5_latwal_1)=esk2_1(k5_latwal_1)|esk4_1(k5_latwal_1)=esk3_1(k5_latwal_1)), inference(spm,[status(thm)],[c_0_235, c_0_236])).
cnf(c_0_240, negated_conjecture, (k3_lattices(k5_latwal_1,esk4_1(k5_latwal_1),k5_ordinal1)=k5_ordinal1|np__1=esk4_1(k5_latwal_1)|k5_ordinal1=esk4_1(k5_latwal_1)), inference(spm,[status(thm)],[c_0_237, c_0_115])).
cnf(c_0_241, negated_conjecture, (esk4_1(k5_latwal_1)=esk2_1(k5_latwal_1)|esk2_1(k5_latwal_1)=esk3_1(k5_latwal_1)|esk4_1(k5_latwal_1)=esk3_1(k5_latwal_1)|np__1=esk4_1(k5_latwal_1)|k1_lattices(k5_latwal_1,k3_lattices(k5_latwal_1,esk4_1(k5_latwal_1),esk3_1(k5_latwal_1)),esk3_1(k5_latwal_1))!=esk3_1(k5_latwal_1)), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_238, c_0_239]), c_0_178])).
cnf(c_0_242, negated_conjecture, (k3_lattices(k5_latwal_1,esk4_1(k5_latwal_1),esk3_1(k5_latwal_1))=esk3_1(k5_latwal_1)|esk4_1(k5_latwal_1)=esk2_1(k5_latwal_1)|esk2_1(k5_latwal_1)=esk3_1(k5_latwal_1)|esk4_1(k5_latwal_1)=esk3_1(k5_latwal_1)|np__1=esk4_1(k5_latwal_1)), inference(spm,[status(thm)],[c_0_240, c_0_219])).
cnf(c_0_243, negated_conjecture, (k1_lattices(k5_latwal_1,esk4_1(k5_latwal_1),esk2_1(k5_latwal_1))=k3_lattices(k5_latwal_1,esk4_1(k5_latwal_1),esk2_1(k5_latwal_1))), inference(spm,[status(thm)],[c_0_146, c_0_70])).
cnf(c_0_244, negated_conjecture, (esk4_1(k5_latwal_1)=esk3_1(k5_latwal_1)|esk2_1(k5_latwal_1)=esk3_1(k5_latwal_1)|esk4_1(k5_latwal_1)=esk2_1(k5_latwal_1)|np__1=esk4_1(k5_latwal_1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_241, c_0_242]), c_0_163])])).
cnf(c_0_245, negated_conjecture, (k1_lattices(k5_latwal_1,esk2_1(k5_latwal_1),esk2_1(k5_latwal_1))=esk2_1(k5_latwal_1)), 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(spm,[status(thm)],[c_0_155, c_0_74]), c_0_156]), c_0_157]), c_0_96]), c_0_56])]), c_0_61])).
cnf(c_0_246, negated_conjecture, (esk2_1(k5_latwal_1)=esk3_1(k5_latwal_1)|esk4_1(k5_latwal_1)=esk3_1(k5_latwal_1)|k5_ordinal1=esk2_1(k5_latwal_1)|k5_ordinal1=esk4_1(k5_latwal_1)|np__1=esk3_1(k5_latwal_1)|k5_ordinal1=esk3_1(k5_latwal_1)|k1_lattices(k5_latwal_1,k3_lattices(k5_latwal_1,esk4_1(k5_latwal_1),esk2_1(k5_latwal_1)),esk3_1(k5_latwal_1))!=esk3_1(k5_latwal_1)), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_187, c_0_143]), c_0_243])).
cnf(c_0_247, negated_conjecture, (esk4_1(k5_latwal_1)=esk3_1(k5_latwal_1)|esk4_1(k5_latwal_1)=esk2_1(k5_latwal_1)|esk2_1(k5_latwal_1)=esk3_1(k5_latwal_1)), inference(spm,[status(thm)],[c_0_236, c_0_244])).
cnf(c_0_248, negated_conjecture, (k3_lattices(k5_latwal_1,esk2_1(k5_latwal_1),esk2_1(k5_latwal_1))=esk2_1(k5_latwal_1)), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_146, c_0_74]), c_0_245])).
cnf(c_0_249, negated_conjecture, (k1_lattices(k5_latwal_1,esk2_1(k5_latwal_1),esk3_1(k5_latwal_1))=k3_lattices(k5_latwal_1,esk2_1(k5_latwal_1),esk3_1(k5_latwal_1))), inference(spm,[status(thm)],[c_0_173, c_0_74])).
cnf(c_0_250, negated_conjecture, (k3_lattices(k5_latwal_1,esk2_1(k5_latwal_1),esk3_1(k5_latwal_1))=esk3_1(k5_latwal_1)|esk2_1(k5_latwal_1)=esk3_1(k5_latwal_1)|np__1=esk3_1(k5_latwal_1)|k5_ordinal1=esk2_1(k5_latwal_1)|k5_ordinal1=esk3_1(k5_latwal_1)), inference(spm,[status(thm)],[c_0_189, c_0_125])).
cnf(c_0_251, negated_conjecture, (esk4_1(k5_latwal_1)=esk3_1(k5_latwal_1)|esk2_1(k5_latwal_1)=esk3_1(k5_latwal_1)|k5_ordinal1=esk3_1(k5_latwal_1)|np__1=esk3_1(k5_latwal_1)|k5_ordinal1=esk2_1(k5_latwal_1)), inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_246, c_0_247]), c_0_248]), c_0_249]), c_0_250])).
cnf(c_0_252, negated_conjecture, (esk2_1(k5_latwal_1)=esk3_1(k5_latwal_1)|esk4_1(k5_latwal_1)=esk3_1(k5_latwal_1)|k1_lattices(k5_latwal_1,k1_lattices(k5_latwal_1,k4_lattices(k5_latwal_1,esk2_1(k5_latwal_1),esk3_1(k5_latwal_1)),k4_lattices(k5_latwal_1,esk2_1(k5_latwal_1),esk3_1(k5_latwal_1))),esk3_1(k5_latwal_1))!=esk3_1(k5_latwal_1)), 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(spm,[status(thm)],[c_0_130, c_0_247]), c_0_132]), c_0_132]), c_0_56])]), c_0_61]), c_0_59])).
cnf(c_0_253, negated_conjecture, (k4_lattices(k5_latwal_1,esk2_1(k5_latwal_1),esk3_1(k5_latwal_1))=esk3_1(k5_latwal_1)|esk4_1(k5_latwal_1)=esk3_1(k5_latwal_1)|esk2_1(k5_latwal_1)=esk3_1(k5_latwal_1)|k5_ordinal1=esk3_1(k5_latwal_1)|k5_ordinal1=esk2_1(k5_latwal_1)), inference(spm,[status(thm)],[c_0_166, c_0_251])).
cnf(c_0_254, negated_conjecture, (esk4_1(k5_latwal_1)=esk3_1(k5_latwal_1)|esk2_1(k5_latwal_1)=esk3_1(k5_latwal_1)|k5_ordinal1=esk2_1(k5_latwal_1)|k5_ordinal1=esk3_1(k5_latwal_1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_252, c_0_253]), c_0_163]), c_0_163])])).
cnf(c_0_255, negated_conjecture, (k4_lattices(k5_latwal_1,esk2_1(k5_latwal_1),esk3_1(k5_latwal_1))=esk3_1(k5_latwal_1)|esk4_1(k5_latwal_1)=esk3_1(k5_latwal_1)|esk2_1(k5_latwal_1)=esk3_1(k5_latwal_1)|k5_ordinal1=esk3_1(k5_latwal_1)|np__1=esk3_1(k5_latwal_1)), inference(spm,[status(thm)],[c_0_144, c_0_254])).
cnf(c_0_256, negated_conjecture, (k4_lattices(k5_latwal_1,esk2_1(k5_latwal_1),np__1)=esk2_1(k5_latwal_1)|esk2_1(k5_latwal_1)=esk3_1(k5_latwal_1)|esk4_1(k5_latwal_1)=esk3_1(k5_latwal_1)|k5_ordinal1=esk3_1(k5_latwal_1)), inference(spm,[status(thm)],[c_0_168, c_0_254])).
cnf(c_0_257, negated_conjecture, (esk4_1(k5_latwal_1)=esk3_1(k5_latwal_1)|esk2_1(k5_latwal_1)=esk3_1(k5_latwal_1)|np__1=esk3_1(k5_latwal_1)|k5_ordinal1=esk3_1(k5_latwal_1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_252, c_0_255]), c_0_163]), c_0_163])])).
cnf(c_0_258, negated_conjecture, (k4_lattices(k5_latwal_1,esk2_1(k5_latwal_1),esk3_1(k5_latwal_1))=esk2_1(k5_latwal_1)|esk4_1(k5_latwal_1)=esk3_1(k5_latwal_1)|esk2_1(k5_latwal_1)=esk3_1(k5_latwal_1)|k5_ordinal1=esk3_1(k5_latwal_1)), inference(spm,[status(thm)],[c_0_256, c_0_257])).
cnf(c_0_259, negated_conjecture, (k3_lattices(k5_latwal_1,esk2_1(k5_latwal_1),np__1)=np__1|esk2_1(k5_latwal_1)=esk3_1(k5_latwal_1)|esk4_1(k5_latwal_1)=esk3_1(k5_latwal_1)|k5_ordinal1=esk3_1(k5_latwal_1)), inference(spm,[status(thm)],[c_0_174, c_0_254])).
cnf(c_0_260, negated_conjecture, (esk4_1(k5_latwal_1)=esk3_1(k5_latwal_1)|esk2_1(k5_latwal_1)=esk3_1(k5_latwal_1)|k5_ordinal1=esk3_1(k5_latwal_1)|k3_lattices(k5_latwal_1,esk2_1(k5_latwal_1),esk3_1(k5_latwal_1))!=esk3_1(k5_latwal_1)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_252, c_0_258]), c_0_245]), c_0_249])).
cnf(c_0_261, negated_conjecture, (esk4_1(k5_latwal_1)=esk3_1(k5_latwal_1)|esk2_1(k5_latwal_1)=esk3_1(k5_latwal_1)|k5_ordinal1=esk3_1(k5_latwal_1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_259, c_0_257]), c_0_260])).
cnf(c_0_262, negated_conjecture, (k3_lattices(k5_latwal_1,esk2_1(k5_latwal_1),k5_ordinal1)=k5_ordinal1|np__1=esk2_1(k5_latwal_1)|k5_ordinal1=esk2_1(k5_latwal_1)), inference(spm,[status(thm)],[c_0_237, c_0_117])).
cnf(c_0_263, negated_conjecture, (k4_lattices(k5_latwal_1,esk2_1(k5_latwal_1),esk3_1(k5_latwal_1))=esk2_1(k5_latwal_1)|esk4_1(k5_latwal_1)=esk3_1(k5_latwal_1)|esk2_1(k5_latwal_1)=esk3_1(k5_latwal_1)|np__1=esk2_1(k5_latwal_1)), inference(spm,[status(thm)],[c_0_218, c_0_261])).
cnf(c_0_264, negated_conjecture, (k3_lattices(k5_latwal_1,esk2_1(k5_latwal_1),esk3_1(k5_latwal_1))=esk3_1(k5_latwal_1)|esk4_1(k5_latwal_1)=esk3_1(k5_latwal_1)|esk2_1(k5_latwal_1)=esk3_1(k5_latwal_1)|np__1=esk2_1(k5_latwal_1)), inference(spm,[status(thm)],[c_0_262, c_0_261])).
fof(c_0_265, plain, ![X1, X2]:((((((~v2_struct_0(X1)&v6_lattices(X1))&v8_lattices(X1))&v9_lattices(X1))&l3_lattices(X1))&m1_subset_1(X2,u1_struct_0(X1)))=>k4_lattices(X1,X2,X2)=X2), inference(fof_simplification,[status(thm)],[rd2_lattices])).
cnf(c_0_266, negated_conjecture, (k4_lattices(k5_latwal_1,np__1,esk3_1(k5_latwal_1))=esk3_1(k5_latwal_1)|esk2_1(k5_latwal_1)=esk3_1(k5_latwal_1)|esk4_1(k5_latwal_1)=esk3_1(k5_latwal_1)), inference(spm,[status(thm)],[c_0_220, c_0_261])).
cnf(c_0_267, negated_conjecture, (esk4_1(k5_latwal_1)=esk3_1(k5_latwal_1)|esk2_1(k5_latwal_1)=esk3_1(k5_latwal_1)|np__1=esk2_1(k5_latwal_1)), inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_252, c_0_263]), c_0_245]), c_0_249]), c_0_264])).
fof(c_0_268, plain, ![X124, X125]:(v2_struct_0(X124)|~v6_lattices(X124)|~v8_lattices(X124)|~v9_lattices(X124)|~l3_lattices(X124)|~m1_subset_1(X125,u1_struct_0(X124))|k4_lattices(X124,X125,X125)=X125), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_265])])).
cnf(c_0_269, negated_conjecture, (k4_lattices(k5_latwal_1,esk2_1(k5_latwal_1),esk3_1(k5_latwal_1))=esk3_1(k5_latwal_1)|esk4_1(k5_latwal_1)=esk3_1(k5_latwal_1)|esk2_1(k5_latwal_1)=esk3_1(k5_latwal_1)), inference(spm,[status(thm)],[c_0_266, c_0_267])).
cnf(c_0_270, plain, (v2_struct_0(X1)|k4_lattices(X1,X2,X2)=X2|~v6_lattices(X1)|~v8_lattices(X1)|~v9_lattices(X1)|~l3_lattices(X1)|~m1_subset_1(X2,u1_struct_0(X1))), inference(split_conjunct,[status(thm)],[c_0_268])).
cnf(c_0_271, negated_conjecture, (esk4_1(k5_latwal_1)=esk3_1(k5_latwal_1)|esk2_1(k5_latwal_1)=esk3_1(k5_latwal_1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_252, c_0_269]), c_0_163]), c_0_163])])).
cnf(c_0_272, negated_conjecture, (k4_lattices(k5_latwal_1,esk3_1(k5_latwal_1),esk3_1(k5_latwal_1))=esk3_1(k5_latwal_1)), 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(spm,[status(thm)],[c_0_270, c_0_73]), c_0_156]), c_0_157]), c_0_96]), c_0_56])]), c_0_61])).
cnf(c_0_273, negated_conjecture, (esk2_1(k5_latwal_1)=esk3_1(k5_latwal_1)|np__1=esk3_1(k5_latwal_1)|k5_ordinal1=esk2_1(k5_latwal_1)|k5_ordinal1=esk3_1(k5_latwal_1)|k1_lattices(k5_latwal_1,k3_lattices(k5_latwal_1,esk3_1(k5_latwal_1),esk2_1(k5_latwal_1)),esk3_1(k5_latwal_1))!=esk3_1(k5_latwal_1)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_151, c_0_271]), c_0_272]), c_0_153])).
cnf(c_0_274, negated_conjecture, (k2_lattices(k5_latwal_1,esk3_1(k5_latwal_1),esk3_1(k5_latwal_1))=esk3_1(k5_latwal_1)), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120, c_0_73]), c_0_272])).
cnf(c_0_275, negated_conjecture, (esk2_1(k5_latwal_1)=esk3_1(k5_latwal_1)|k5_ordinal1=esk3_1(k5_latwal_1)|k5_ordinal1=esk2_1(k5_latwal_1)|np__1=esk3_1(k5_latwal_1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_273, c_0_162]), c_0_163])])).
cnf(c_0_276, negated_conjecture, (esk2_1(k5_latwal_1)=esk3_1(k5_latwal_1)|k1_lattices(k5_latwal_1,k1_lattices(k5_latwal_1,esk3_1(k5_latwal_1),k4_lattices(k5_latwal_1,esk2_1(k5_latwal_1),esk3_1(k5_latwal_1))),esk3_1(k5_latwal_1))!=esk3_1(k5_latwal_1)), 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(spm,[status(thm)],[c_0_130, c_0_271]), c_0_274]), c_0_132]), c_0_56])]), c_0_61]), c_0_59])).
cnf(c_0_277, negated_conjecture, (k4_lattices(k5_latwal_1,esk2_1(k5_latwal_1),esk3_1(k5_latwal_1))=esk3_1(k5_latwal_1)|esk2_1(k5_latwal_1)=esk3_1(k5_latwal_1)|k5_ordinal1=esk3_1(k5_latwal_1)|k5_ordinal1=esk2_1(k5_latwal_1)), inference(spm,[status(thm)],[c_0_166, c_0_275])).
cnf(c_0_278, negated_conjecture, (esk2_1(k5_latwal_1)=esk3_1(k5_latwal_1)|k5_ordinal1=esk2_1(k5_latwal_1)|k5_ordinal1=esk3_1(k5_latwal_1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_276, c_0_277]), c_0_163]), c_0_163])])).
cnf(c_0_279, negated_conjecture, (k4_lattices(k5_latwal_1,esk2_1(k5_latwal_1),esk3_1(k5_latwal_1))=esk3_1(k5_latwal_1)|esk2_1(k5_latwal_1)=esk3_1(k5_latwal_1)|k5_ordinal1=esk3_1(k5_latwal_1)|np__1=esk3_1(k5_latwal_1)), inference(spm,[status(thm)],[c_0_144, c_0_278])).
cnf(c_0_280, negated_conjecture, (k4_lattices(k5_latwal_1,esk2_1(k5_latwal_1),np__1)=esk2_1(k5_latwal_1)|esk2_1(k5_latwal_1)=esk3_1(k5_latwal_1)|k5_ordinal1=esk3_1(k5_latwal_1)), inference(spm,[status(thm)],[c_0_168, c_0_278])).
cnf(c_0_281, negated_conjecture, (esk2_1(k5_latwal_1)=esk3_1(k5_latwal_1)|np__1=esk3_1(k5_latwal_1)|k5_ordinal1=esk3_1(k5_latwal_1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_276, c_0_279]), c_0_163]), c_0_163])])).
cnf(c_0_282, negated_conjecture, (k4_lattices(k5_latwal_1,esk2_1(k5_latwal_1),esk3_1(k5_latwal_1))=esk2_1(k5_latwal_1)|esk2_1(k5_latwal_1)=esk3_1(k5_latwal_1)|k5_ordinal1=esk3_1(k5_latwal_1)), inference(spm,[status(thm)],[c_0_280, c_0_281])).
cnf(c_0_283, negated_conjecture, (k3_lattices(k5_latwal_1,np__1,esk2_1(k5_latwal_1))=np__1|esk2_1(k5_latwal_1)=esk3_1(k5_latwal_1)|k5_ordinal1=esk3_1(k5_latwal_1)), inference(spm,[status(thm)],[c_0_205, c_0_278])).
cnf(c_0_284, negated_conjecture, (esk2_1(k5_latwal_1)=esk3_1(k5_latwal_1)|k5_ordinal1=esk3_1(k5_latwal_1)|k1_lattices(k5_latwal_1,k3_lattices(k5_latwal_1,esk3_1(k5_latwal_1),esk2_1(k5_latwal_1)),esk3_1(k5_latwal_1))!=esk3_1(k5_latwal_1)), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_276, c_0_282]), c_0_153])).
cnf(c_0_285, negated_conjecture, (k3_lattices(k5_latwal_1,esk3_1(k5_latwal_1),esk2_1(k5_latwal_1))=esk3_1(k5_latwal_1)|esk2_1(k5_latwal_1)=esk3_1(k5_latwal_1)|k5_ordinal1=esk3_1(k5_latwal_1)), inference(spm,[status(thm)],[c_0_283, c_0_281])).
cnf(c_0_286, negated_conjecture, (esk2_1(k5_latwal_1)=esk3_1(k5_latwal_1)|k5_ordinal1=esk3_1(k5_latwal_1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_284, c_0_285]), c_0_163])])).
cnf(c_0_287, negated_conjecture, (k4_lattices(k5_latwal_1,esk2_1(k5_latwal_1),esk3_1(k5_latwal_1))=esk2_1(k5_latwal_1)|esk2_1(k5_latwal_1)=esk3_1(k5_latwal_1)|np__1=esk2_1(k5_latwal_1)), inference(spm,[status(thm)],[c_0_218, c_0_286])).
cnf(c_0_288, negated_conjecture, (esk2_1(k5_latwal_1)=esk3_1(k5_latwal_1)|np__1=esk2_1(k5_latwal_1)|k1_lattices(k5_latwal_1,k3_lattices(k5_latwal_1,esk3_1(k5_latwal_1),esk2_1(k5_latwal_1)),esk3_1(k5_latwal_1))!=esk3_1(k5_latwal_1)), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_276, c_0_287]), c_0_153])).
cnf(c_0_289, negated_conjecture, (k3_lattices(k5_latwal_1,esk3_1(k5_latwal_1),esk2_1(k5_latwal_1))=esk3_1(k5_latwal_1)|esk2_1(k5_latwal_1)=esk3_1(k5_latwal_1)|np__1=esk2_1(k5_latwal_1)), inference(spm,[status(thm)],[c_0_228, c_0_286])).
cnf(c_0_290, negated_conjecture, (k4_lattices(k5_latwal_1,esk4_1(k5_latwal_1),np__2)=esk4_1(k5_latwal_1)|esk4_1(k5_latwal_1)=esk2_1(k5_latwal_1)|k5_ordinal1=esk4_1(k5_latwal_1)|k5_ordinal1=esk2_1(k5_latwal_1)|np__1=esk2_1(k5_latwal_1)), inference(spm,[status(thm)],[c_0_121, c_0_135])).
cnf(c_0_291, negated_conjecture, (k4_lattices(k5_latwal_1,np__1,esk3_1(k5_latwal_1))=esk3_1(k5_latwal_1)|esk2_1(k5_latwal_1)=esk3_1(k5_latwal_1)), inference(spm,[status(thm)],[c_0_220, c_0_286])).
cnf(c_0_292, negated_conjecture, (esk2_1(k5_latwal_1)=esk3_1(k5_latwal_1)|np__1=esk2_1(k5_latwal_1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_288, c_0_289]), c_0_163])])).
cnf(c_0_293, negated_conjecture, (k4_lattices(k5_latwal_1,esk4_1(k5_latwal_1),esk3_1(k5_latwal_1))=esk4_1(k5_latwal_1)|esk4_1(k5_latwal_1)=esk2_1(k5_latwal_1)|np__1=esk3_1(k5_latwal_1)|k5_ordinal1=esk3_1(k5_latwal_1)|np__1=esk2_1(k5_latwal_1)|k5_ordinal1=esk2_1(k5_latwal_1)|k5_ordinal1=esk4_1(k5_latwal_1)), inference(spm,[status(thm)],[c_0_290, c_0_116])).
cnf(c_0_294, negated_conjecture, (k4_lattices(k5_latwal_1,esk2_1(k5_latwal_1),esk3_1(k5_latwal_1))=esk3_1(k5_latwal_1)|esk2_1(k5_latwal_1)=esk3_1(k5_latwal_1)), inference(spm,[status(thm)],[c_0_291, c_0_292])).
cnf(c_0_295, negated_conjecture, (esk4_1(k5_latwal_1)=esk2_1(k5_latwal_1)|k5_ordinal1=esk4_1(k5_latwal_1)|k5_ordinal1=esk2_1(k5_latwal_1)|np__1=esk2_1(k5_latwal_1)|k5_ordinal1=esk3_1(k5_latwal_1)|np__1=esk3_1(k5_latwal_1)|k1_lattices(k5_latwal_1,k1_lattices(k5_latwal_1,esk4_1(k5_latwal_1),k4_lattices(k5_latwal_1,esk2_1(k5_latwal_1),esk3_1(k5_latwal_1))),esk3_1(k5_latwal_1))!=esk3_1(k5_latwal_1)), inference(spm,[status(thm)],[c_0_142, c_0_293])).
cnf(c_0_296, negated_conjecture, (esk2_1(k5_latwal_1)=esk3_1(k5_latwal_1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_276, c_0_294]), c_0_163]), c_0_163])])).
cnf(c_0_297, negated_conjecture, (esk4_1(k5_latwal_1)=esk3_1(k5_latwal_1)|np__1=esk3_1(k5_latwal_1)|k5_ordinal1=esk3_1(k5_latwal_1)|k5_ordinal1=esk4_1(k5_latwal_1)|k1_lattices(k5_latwal_1,k3_lattices(k5_latwal_1,esk4_1(k5_latwal_1),esk3_1(k5_latwal_1)),esk3_1(k5_latwal_1))!=esk3_1(k5_latwal_1)), 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)],[c_0_295, c_0_296]), c_0_296]), c_0_296]), c_0_296]), c_0_272]), c_0_178])])).
cnf(c_0_298, negated_conjecture, (k4_lattices(k5_latwal_1,esk4_1(k5_latwal_1),np__1)=np__1|np__1=esk4_1(k5_latwal_1)|k5_ordinal1=esk4_1(k5_latwal_1)), inference(spm,[status(thm)],[c_0_160, c_0_115])).
cnf(c_0_299, negated_conjecture, (esk4_1(k5_latwal_1)=esk3_1(k5_latwal_1)|k5_ordinal1=esk4_1(k5_latwal_1)|k5_ordinal1=esk3_1(k5_latwal_1)|np__1=esk3_1(k5_latwal_1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_297, c_0_191]), c_0_163])])).
cnf(c_0_300, negated_conjecture, (k1_lattices(k5_latwal_1,k1_lattices(k5_latwal_1,k4_lattices(k5_latwal_1,esk4_1(k5_latwal_1),esk3_1(k5_latwal_1)),esk3_1(k5_latwal_1)),esk3_1(k5_latwal_1))!=esk3_1(k5_latwal_1)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_142, c_0_296]), c_0_272])).
cnf(c_0_301, negated_conjecture, (k4_lattices(k5_latwal_1,esk4_1(k5_latwal_1),esk3_1(k5_latwal_1))=esk3_1(k5_latwal_1)|esk4_1(k5_latwal_1)=esk3_1(k5_latwal_1)|k5_ordinal1=esk3_1(k5_latwal_1)|k5_ordinal1=esk4_1(k5_latwal_1)), inference(spm,[status(thm)],[c_0_298, c_0_299])).
cnf(c_0_302, negated_conjecture, (esk4_1(k5_latwal_1)=esk3_1(k5_latwal_1)|k5_ordinal1=esk4_1(k5_latwal_1)|k5_ordinal1=esk3_1(k5_latwal_1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_300, c_0_301]), c_0_163]), c_0_163])])).
cnf(c_0_303, negated_conjecture, (k4_lattices(k5_latwal_1,esk4_1(k5_latwal_1),esk3_1(k5_latwal_1))=esk3_1(k5_latwal_1)|esk4_1(k5_latwal_1)=esk3_1(k5_latwal_1)|k5_ordinal1=esk3_1(k5_latwal_1)|np__1=esk3_1(k5_latwal_1)), inference(spm,[status(thm)],[c_0_144, c_0_302])).
cnf(c_0_304, negated_conjecture, (k4_lattices(k5_latwal_1,esk4_1(k5_latwal_1),np__1)=esk4_1(k5_latwal_1)|esk4_1(k5_latwal_1)=esk3_1(k5_latwal_1)|k5_ordinal1=esk3_1(k5_latwal_1)), inference(spm,[status(thm)],[c_0_168, c_0_302])).
cnf(c_0_305, negated_conjecture, (esk4_1(k5_latwal_1)=esk3_1(k5_latwal_1)|np__1=esk3_1(k5_latwal_1)|k5_ordinal1=esk3_1(k5_latwal_1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_300, c_0_303]), c_0_163]), c_0_163])])).
cnf(c_0_306, negated_conjecture, (k4_lattices(k5_latwal_1,esk4_1(k5_latwal_1),esk3_1(k5_latwal_1))=esk4_1(k5_latwal_1)|esk4_1(k5_latwal_1)=esk3_1(k5_latwal_1)|k5_ordinal1=esk3_1(k5_latwal_1)), inference(spm,[status(thm)],[c_0_304, c_0_305])).
cnf(c_0_307, negated_conjecture, (k3_lattices(k5_latwal_1,esk4_1(k5_latwal_1),np__1)=np__1|esk4_1(k5_latwal_1)=esk3_1(k5_latwal_1)|k5_ordinal1=esk3_1(k5_latwal_1)), inference(spm,[status(thm)],[c_0_174, c_0_302])).
cnf(c_0_308, negated_conjecture, (esk4_1(k5_latwal_1)=esk3_1(k5_latwal_1)|k5_ordinal1=esk3_1(k5_latwal_1)|k1_lattices(k5_latwal_1,k3_lattices(k5_latwal_1,esk4_1(k5_latwal_1),esk3_1(k5_latwal_1)),esk3_1(k5_latwal_1))!=esk3_1(k5_latwal_1)), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_300, c_0_306]), c_0_178])).
cnf(c_0_309, negated_conjecture, (k3_lattices(k5_latwal_1,esk4_1(k5_latwal_1),esk3_1(k5_latwal_1))=esk3_1(k5_latwal_1)|esk4_1(k5_latwal_1)=esk3_1(k5_latwal_1)|k5_ordinal1=esk3_1(k5_latwal_1)), inference(spm,[status(thm)],[c_0_307, c_0_305])).
cnf(c_0_310, negated_conjecture, (esk4_1(k5_latwal_1)=esk3_1(k5_latwal_1)|k5_ordinal1=esk3_1(k5_latwal_1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_308, c_0_309]), c_0_163])])).
cnf(c_0_311, negated_conjecture, (k4_lattices(k5_latwal_1,esk4_1(k5_latwal_1),esk3_1(k5_latwal_1))=esk4_1(k5_latwal_1)|esk4_1(k5_latwal_1)=esk3_1(k5_latwal_1)|np__1=esk4_1(k5_latwal_1)), inference(spm,[status(thm)],[c_0_230, c_0_310])).
cnf(c_0_312, negated_conjecture, (esk4_1(k5_latwal_1)=esk3_1(k5_latwal_1)|np__1=esk4_1(k5_latwal_1)|k1_lattices(k5_latwal_1,k3_lattices(k5_latwal_1,esk4_1(k5_latwal_1),esk3_1(k5_latwal_1)),esk3_1(k5_latwal_1))!=esk3_1(k5_latwal_1)), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_300, c_0_311]), c_0_178])).
cnf(c_0_313, negated_conjecture, (k3_lattices(k5_latwal_1,esk4_1(k5_latwal_1),esk3_1(k5_latwal_1))=esk3_1(k5_latwal_1)|esk4_1(k5_latwal_1)=esk3_1(k5_latwal_1)|np__1=esk4_1(k5_latwal_1)), inference(spm,[status(thm)],[c_0_240, c_0_310])).
cnf(c_0_314, negated_conjecture, (k4_lattices(k5_latwal_1,np__1,esk3_1(k5_latwal_1))=esk3_1(k5_latwal_1)|esk4_1(k5_latwal_1)=esk3_1(k5_latwal_1)), inference(spm,[status(thm)],[c_0_220, c_0_310])).
cnf(c_0_315, negated_conjecture, (esk4_1(k5_latwal_1)=esk3_1(k5_latwal_1)|np__1=esk4_1(k5_latwal_1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_312, c_0_313]), c_0_163])])).
cnf(c_0_316, negated_conjecture, (k4_lattices(k5_latwal_1,esk4_1(k5_latwal_1),esk3_1(k5_latwal_1))=esk3_1(k5_latwal_1)|esk4_1(k5_latwal_1)=esk3_1(k5_latwal_1)), inference(spm,[status(thm)],[c_0_314, c_0_315])).
cnf(c_0_317, negated_conjecture, (esk4_1(k5_latwal_1)=esk3_1(k5_latwal_1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_300, c_0_316]), c_0_163]), c_0_163])])).
cnf(c_0_318, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_300, c_0_317]), c_0_272]), c_0_163]), c_0_163])]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 319
# Proof object clause steps            : 253
# Proof object formula steps           : 66
# Proof object conjectures             : 163
# Proof object clause conjectures      : 161
# Proof object formula conjectures     : 2
# Proof object initial clauses used    : 48
# Proof object initial formulas used   : 32
# Proof object generating inferences   : 170
# Proof object simplifying inferences  : 249
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 32
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 59
# Removed in clause preprocessing      : 0
# Initial clauses in saturation        : 59
# Processed clauses                    : 2556
# ...of these trivial                  : 13
# ...subsumed                          : 1441
# ...remaining for further processing  : 1102
# Other redundant clauses eliminated   : 2163
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 530
# Backward-rewritten                   : 234
# Generated clauses                    : 36112
# ...of the previous two non-trivial   : 30280
# Contextual simplify-reflections      : 10
# Paramodulations                      : 32293
# Factorizations                       : 1665
# NegExts                              : 0
# Equation resolutions                 : 2166
# 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  : 261
#    Positive orientable unit clauses  : 108
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 4
#    Non-unit-clauses                  : 149
# Current number of unprocessed clauses: 27002
# ...number of literals in the above   : 342783
# Current number of archived formulas  : 0
# Current number of archived clauses   : 825
# Clause-clause subsumption calls (NU) : 58449
# Rec. Clause-clause subsumption calls : 4502
# Non-unit clause-clause subsumptions  : 1802
# Unit Clause-clause subsumption calls : 983
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 235
# BW rewrite match successes           : 12
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 1114495

# -------------------------------------------------
# User time                : 1.648 s
# System time              : 0.026 s
# Total time               : 1.674 s
# Maximum resident set size: 3292 pages
