# 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__l45_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__l45_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__l45_latwal_2', dt_g3_lattices)).
fof(redefinition_r2_tarski, axiom, ![X1, X2]:(r2_tarski(X1,X2)<=>r2_hidden(X1,X2)), file('latwal_2/latwal_2__l45_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__l45_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__l45_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__l45_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__l45_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__l45_latwal_2', dt_k5_latwal_1)).
fof(t1_subset, axiom, ![X1, X2]:(r2_tarski(X1,X2)=>m1_subset_1(X1,X2)), file('latwal_2/latwal_2__l45_latwal_2', t1_subset)).
fof(d1_latwal_1, axiom, ![X1]:((~(v2_struct_0(X1))&l3_lattices(X1))=>(v1_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))=>k2_lattices(X1,k2_lattices(X1,k1_lattices(X1,X4,X3),k1_lattices(X1,X2,X3)),X3)=X3))))), file('latwal_2/latwal_2__l45_latwal_2', d1_latwal_1)).
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__l45_latwal_2', redefinition_k3_lattices)).
fof(commutativity_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)=k3_lattices(X1,X3,X2)), file('latwal_2/latwal_2__l45_latwal_2', commutativity_k3_lattices)).
fof(redefinition_k4_lattices, axiom, ![X1, X2, X3]:(((((~(v2_struct_0(X1))&v6_lattices(X1))&l1_lattices(X1))&m1_subset_1(X2,u1_struct_0(X1)))&m1_subset_1(X3,u1_struct_0(X1)))=>k4_lattices(X1,X2,X3)=k2_lattices(X1,X2,X3)), file('latwal_2/latwal_2__l45_latwal_2', redefinition_k4_lattices)).
fof(dt_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)))=>m1_subset_1(k3_lattices(X1,X2,X3),u1_struct_0(X1))), file('latwal_2/latwal_2__l45_latwal_2', dt_k3_lattices)).
fof(commutativity_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)=k4_lattices(X1,X3,X2)), file('latwal_2/latwal_2__l45_latwal_2', commutativity_k4_lattices)).
fof(t2_subset, axiom, ![X1, X2]:(m1_subset_1(X1,X2)=>(v1_xboole_0(X2)|r2_tarski(X1,X2))), file('latwal_2/latwal_2__l45_latwal_2', t2_subset)).
fof(t7_boole, axiom, ![X1, X2]:~((r2_tarski(X1,X2)&v1_xboole_0(X2))), file('latwal_2/latwal_2__l45_latwal_2', t7_boole)).
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__l45_latwal_2', fc2_latwal_1)).
fof(dt_l3_lattices, axiom, ![X1]:(l3_lattices(X1)=>(l1_lattices(X1)&l2_lattices(X1))), file('latwal_2/latwal_2__l45_latwal_2', dt_l3_lattices)).
fof(l45_latwal_2, conjecture, v1_latwal_1(k5_latwal_1), file('latwal_2/latwal_2__l45_latwal_2', l45_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__l45_latwal_2', rd1_lattices)).
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__l45_latwal_2', rd2_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__l45_latwal_2', l42_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__l45_latwal_2', l36_latwal_2)).
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__l45_latwal_2', l33_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__l45_latwal_2', l38_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__l45_latwal_2', l35_latwal_2)).
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__l45_latwal_2', l40_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__l45_latwal_2', l44_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__l45_latwal_2', l39_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__l45_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__l45_latwal_2', l37_latwal_2)).
fof(c_0_33, plain, ![X83, X84, X85, X86, X87, X88, X89, X90, X91, X92]:(((~r2_hidden(X87,X86)|(X87=X83|X87=X84|X87=X85)|X86!=k1_enumset1(X83,X84,X85))&(((X88!=X83|r2_hidden(X88,X86)|X86!=k1_enumset1(X83,X84,X85))&(X88!=X84|r2_hidden(X88,X86)|X86!=k1_enumset1(X83,X84,X85)))&(X88!=X85|r2_hidden(X88,X86)|X86!=k1_enumset1(X83,X84,X85))))&((((esk1_4(X89,X90,X91,X92)!=X89|~r2_hidden(esk1_4(X89,X90,X91,X92),X92)|X92=k1_enumset1(X89,X90,X91))&(esk1_4(X89,X90,X91,X92)!=X90|~r2_hidden(esk1_4(X89,X90,X91,X92),X92)|X92=k1_enumset1(X89,X90,X91)))&(esk1_4(X89,X90,X91,X92)!=X91|~r2_hidden(esk1_4(X89,X90,X91,X92),X92)|X92=k1_enumset1(X89,X90,X91)))&(r2_hidden(esk1_4(X89,X90,X91,X92),X92)|(esk1_4(X89,X90,X91,X92)=X89|esk1_4(X89,X90,X91,X92)=X90|esk1_4(X89,X90,X91,X92)=X91)|X92=k1_enumset1(X89,X90,X91)))), 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_34, plain, ![X108, X109, X110, X111, X112, X113]:(((X108=X111|g3_lattices(X108,X109,X110)!=g3_lattices(X111,X112,X113)|(~v1_funct_1(X109)|~v1_funct_2(X109,k2_zfmisc_1(X108,X108),X108)|~m1_subset_1(X109,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X108,X108),X108)))|~v1_funct_1(X110)|~v1_funct_2(X110,k2_zfmisc_1(X108,X108),X108)|~m1_subset_1(X110,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X108,X108),X108)))))&(X109=X112|g3_lattices(X108,X109,X110)!=g3_lattices(X111,X112,X113)|(~v1_funct_1(X109)|~v1_funct_2(X109,k2_zfmisc_1(X108,X108),X108)|~m1_subset_1(X109,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X108,X108),X108)))|~v1_funct_1(X110)|~v1_funct_2(X110,k2_zfmisc_1(X108,X108),X108)|~m1_subset_1(X110,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X108,X108),X108))))))&(X110=X113|g3_lattices(X108,X109,X110)!=g3_lattices(X111,X112,X113)|(~v1_funct_1(X109)|~v1_funct_2(X109,k2_zfmisc_1(X108,X108),X108)|~m1_subset_1(X109,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X108,X108),X108)))|~v1_funct_1(X110)|~v1_funct_2(X110,k2_zfmisc_1(X108,X108),X108)|~m1_subset_1(X110,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X108,X108),X108)))))), 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_35, plain, ![X101, X102, X103]:((v3_lattices(g3_lattices(X101,X102,X103))|(~v1_funct_1(X102)|~v1_funct_2(X102,k2_zfmisc_1(X101,X101),X101)|~m1_subset_1(X102,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X101,X101),X101)))|~v1_funct_1(X103)|~v1_funct_2(X103,k2_zfmisc_1(X101,X101),X101)|~m1_subset_1(X103,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X101,X101),X101)))))&(l3_lattices(g3_lattices(X101,X102,X103))|(~v1_funct_1(X102)|~v1_funct_2(X102,k2_zfmisc_1(X101,X101),X101)|~m1_subset_1(X102,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X101,X101),X101)))|~v1_funct_1(X103)|~v1_funct_2(X103,k2_zfmisc_1(X101,X101),X101)|~m1_subset_1(X103,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X101,X101),X101)))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_g3_lattices])])])).
fof(c_0_36, plain, ![X146, X147]:((~r2_tarski(X146,X147)|r2_hidden(X146,X147))&(~r2_hidden(X146,X147)|r2_tarski(X146,X147))), 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_33])).
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_34])).
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, ![X76]:(~l3_lattices(X76)|(~v3_lattices(X76)|X76=g3_lattices(u1_struct_0(X76),u2_lattices(X76),u1_lattices(X76)))), 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_35])).
fof(c_0_49, plain, ![X148, X149]:(~r2_tarski(X148,X149)|m1_subset_1(X148,X149)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t1_subset])])).
cnf(c_0_50, plain, (r2_tarski(X1,X2)|~r2_hidden(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_36])).
cnf(c_0_51, plain, (r2_hidden(X1,k1_enumset1(X2,X3,X1))), inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_37])])).
cnf(c_0_52, 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_53, 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_54, plain, (l3_lattices(k5_latwal_1)), inference(split_conjunct,[status(thm)],[c_0_47])).
cnf(c_0_55, 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_56, plain, ![X1]:((~v2_struct_0(X1)&l3_lattices(X1))=>(v1_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))=>k2_lattices(X1,k2_lattices(X1,k1_lattices(X1,X4,X3),k1_lattices(X1,X2,X3)),X3)=X3))))), inference(fof_simplification,[status(thm)],[d1_latwal_1])).
fof(c_0_57, 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_58, plain, (m1_subset_1(X1,X2)|~r2_tarski(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_49])).
cnf(c_0_59, plain, (r2_tarski(X1,k1_enumset1(X2,X3,X1))), inference(spm,[status(thm)],[c_0_50, c_0_51])).
cnf(c_0_60, 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_52, c_0_53])]), c_0_54])])).
cnf(c_0_61, 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_55, c_0_41]), c_0_39]), c_0_43]), c_0_45])])).
fof(c_0_62, 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)=k3_lattices(X1,X3,X2)), inference(fof_simplification,[status(thm)],[commutativity_k3_lattices])).
fof(c_0_63, 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_64, 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)))=>m1_subset_1(k3_lattices(X1,X2,X3),u1_struct_0(X1))), inference(fof_simplification,[status(thm)],[dt_k3_lattices])).
fof(c_0_65, 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)=k4_lattices(X1,X3,X2)), inference(fof_simplification,[status(thm)],[commutativity_k4_lattices])).
fof(c_0_66, plain, ![X150, X151]:(~m1_subset_1(X150,X151)|(v1_xboole_0(X151)|r2_tarski(X150,X151))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_subset])])).
fof(c_0_67, plain, ![X94, X95, X96, X97]:((~v1_latwal_1(X94)|(~m1_subset_1(X95,u1_struct_0(X94))|(~m1_subset_1(X96,u1_struct_0(X94))|(~m1_subset_1(X97,u1_struct_0(X94))|k2_lattices(X94,k2_lattices(X94,k1_lattices(X94,X97,X96),k1_lattices(X94,X95,X96)),X96)=X96)))|(v2_struct_0(X94)|~l3_lattices(X94)))&((m1_subset_1(esk2_1(X94),u1_struct_0(X94))|v1_latwal_1(X94)|(v2_struct_0(X94)|~l3_lattices(X94)))&((m1_subset_1(esk3_1(X94),u1_struct_0(X94))|v1_latwal_1(X94)|(v2_struct_0(X94)|~l3_lattices(X94)))&((m1_subset_1(esk4_1(X94),u1_struct_0(X94))|v1_latwal_1(X94)|(v2_struct_0(X94)|~l3_lattices(X94)))&(k2_lattices(X94,k2_lattices(X94,k1_lattices(X94,esk4_1(X94),esk3_1(X94)),k1_lattices(X94,esk2_1(X94),esk3_1(X94))),esk3_1(X94))!=esk3_1(X94)|v1_latwal_1(X94)|(v2_struct_0(X94)|~l3_lattices(X94))))))), 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_56])])])])])).
fof(c_0_68, plain, ![X152, X153]:(~r2_tarski(X152,X153)|~v1_xboole_0(X153)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t7_boole])])).
fof(c_0_69, plain, ![X140, X141, X142]:(v2_struct_0(X140)|~v4_lattices(X140)|~l2_lattices(X140)|~m1_subset_1(X141,u1_struct_0(X140))|~m1_subset_1(X142,u1_struct_0(X140))|k3_lattices(X140,X141,X142)=k1_lattices(X140,X141,X142)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_57])])).
cnf(c_0_70, plain, (m1_subset_1(X1,k1_enumset1(X2,X3,X1))), inference(spm,[status(thm)],[c_0_58, c_0_59])).
cnf(c_0_71, 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_60, c_0_61])])).
fof(c_0_72, 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_73, plain, ![X77, X78, X79]:(v2_struct_0(X77)|~v4_lattices(X77)|~l2_lattices(X77)|~m1_subset_1(X78,u1_struct_0(X77))|~m1_subset_1(X79,u1_struct_0(X77))|k3_lattices(X77,X78,X79)=k3_lattices(X77,X79,X78)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_62])])).
fof(c_0_74, plain, ![X107]:((l1_lattices(X107)|~l3_lattices(X107))&(l2_lattices(X107)|~l3_lattices(X107))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l3_lattices])])])).
fof(c_0_75, plain, ![X143, X144, X145]:(v2_struct_0(X143)|~v6_lattices(X143)|~l1_lattices(X143)|~m1_subset_1(X144,u1_struct_0(X143))|~m1_subset_1(X145,u1_struct_0(X143))|k4_lattices(X143,X144,X145)=k2_lattices(X143,X144,X145)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_63])])).
fof(c_0_76, plain, ![X104, X105, X106]:(v2_struct_0(X104)|~v4_lattices(X104)|~l2_lattices(X104)|~m1_subset_1(X105,u1_struct_0(X104))|~m1_subset_1(X106,u1_struct_0(X104))|m1_subset_1(k3_lattices(X104,X105,X106),u1_struct_0(X104))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_64])])).
fof(c_0_77, plain, ![X80, X81, X82]:(v2_struct_0(X80)|~v6_lattices(X80)|~l1_lattices(X80)|~m1_subset_1(X81,u1_struct_0(X80))|~m1_subset_1(X82,u1_struct_0(X80))|k4_lattices(X80,X81,X82)=k4_lattices(X80,X82,X81)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_65])])).
cnf(c_0_78, plain, (r2_hidden(X1,X3)|X1!=X2|X3!=k1_enumset1(X2,X4,X5)), inference(split_conjunct,[status(thm)],[c_0_33])).
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_33])).
cnf(c_0_80, plain, (v1_xboole_0(X2)|r2_tarski(X1,X2)|~m1_subset_1(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_66])).
cnf(c_0_81, plain, (m1_subset_1(esk3_1(X1),u1_struct_0(X1))|v1_latwal_1(X1)|v2_struct_0(X1)|~l3_lattices(X1)), inference(split_conjunct,[status(thm)],[c_0_67])).
cnf(c_0_82, plain, (~r2_tarski(X1,X2)|~v1_xboole_0(X2)), inference(split_conjunct,[status(thm)],[c_0_68])).
cnf(c_0_83, 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_69])).
cnf(c_0_84, plain, (m1_subset_1(np__2,u1_struct_0(k5_latwal_1))), inference(spm,[status(thm)],[c_0_70, c_0_71])).
cnf(c_0_85, plain, (v4_lattices(k5_latwal_1)), inference(split_conjunct,[status(thm)],[c_0_72])).
cnf(c_0_86, plain, (~v2_struct_0(k5_latwal_1)), inference(split_conjunct,[status(thm)],[c_0_47])).
cnf(c_0_87, plain, (v2_struct_0(X1)|k3_lattices(X1,X2,X3)=k3_lattices(X1,X3,X2)|~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_73])).
cnf(c_0_88, plain, (m1_subset_1(esk4_1(X1),u1_struct_0(X1))|v1_latwal_1(X1)|v2_struct_0(X1)|~l3_lattices(X1)), inference(split_conjunct,[status(thm)],[c_0_67])).
cnf(c_0_89, plain, (l2_lattices(X1)|~l3_lattices(X1)), inference(split_conjunct,[status(thm)],[c_0_74])).
fof(c_0_90, negated_conjecture, ~v1_latwal_1(k5_latwal_1), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[l45_latwal_2])])).
cnf(c_0_91, plain, (m1_subset_1(esk2_1(X1),u1_struct_0(X1))|v1_latwal_1(X1)|v2_struct_0(X1)|~l3_lattices(X1)), inference(split_conjunct,[status(thm)],[c_0_67])).
fof(c_0_92, 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_93, 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_75])).
cnf(c_0_94, plain, (v6_lattices(k5_latwal_1)), inference(split_conjunct,[status(thm)],[c_0_72])).
cnf(c_0_95, plain, (v2_struct_0(X1)|m1_subset_1(k3_lattices(X1,X2,X3),u1_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))), inference(split_conjunct,[status(thm)],[c_0_76])).
cnf(c_0_96, plain, (v2_struct_0(X1)|k4_lattices(X1,X2,X3)=k4_lattices(X1,X3,X2)|~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_77])).
cnf(c_0_97, plain, (r2_hidden(X1,k1_enumset1(X1,X2,X3))), inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_78])])).
cnf(c_0_98, 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_99, plain, (r2_hidden(X1,X2)|~r2_tarski(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_36])).
cnf(c_0_100, plain, (v1_xboole_0(u1_struct_0(X1))|r2_tarski(esk3_1(X1),u1_struct_0(X1))|v2_struct_0(X1)|v1_latwal_1(X1)|~l3_lattices(X1)), inference(spm,[status(thm)],[c_0_80, c_0_81])).
cnf(c_0_101, plain, (~v1_xboole_0(k1_enumset1(X1,X2,X3))), inference(spm,[status(thm)],[c_0_82, c_0_59])).
cnf(c_0_102, plain, (k1_lattices(k5_latwal_1,X1,np__2)=k3_lattices(k5_latwal_1,X1,np__2)|~m1_subset_1(X1,u1_struct_0(k5_latwal_1))|~l2_lattices(k5_latwal_1)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83, c_0_84]), c_0_85])]), c_0_86])).
cnf(c_0_103, plain, (k3_lattices(X1,X2,esk4_1(X1))=k3_lattices(X1,esk4_1(X1),X2)|v2_struct_0(X1)|v1_latwal_1(X1)|~m1_subset_1(X2,u1_struct_0(X1))|~v4_lattices(X1)|~l3_lattices(X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_87, c_0_88]), c_0_89])).
cnf(c_0_104, negated_conjecture, (~v1_latwal_1(k5_latwal_1)), inference(split_conjunct,[status(thm)],[c_0_90])).
cnf(c_0_105, plain, (k3_lattices(X1,X2,esk2_1(X1))=k3_lattices(X1,esk2_1(X1),X2)|v2_struct_0(X1)|v1_latwal_1(X1)|~m1_subset_1(X2,u1_struct_0(X1))|~v4_lattices(X1)|~l3_lattices(X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_87, c_0_91]), c_0_89])).
fof(c_0_106, plain, ![X136, X137]:(v2_struct_0(X136)|~v6_lattices(X136)|~v8_lattices(X136)|~v9_lattices(X136)|~l3_lattices(X136)|~m1_subset_1(X137,u1_struct_0(X136))|k1_lattices(X136,X137,X137)=X137), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_92])])).
cnf(c_0_107, plain, (k2_lattices(k5_latwal_1,X1,np__2)=k4_lattices(k5_latwal_1,X1,np__2)|~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_93, c_0_84]), c_0_94])]), c_0_86])).
cnf(c_0_108, plain, (l1_lattices(X1)|~l3_lattices(X1)), inference(split_conjunct,[status(thm)],[c_0_74])).
cnf(c_0_109, plain, (m1_subset_1(k3_lattices(X1,X2,esk4_1(X1)),u1_struct_0(X1))|v2_struct_0(X1)|v1_latwal_1(X1)|~m1_subset_1(X2,u1_struct_0(X1))|~v4_lattices(X1)|~l3_lattices(X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_95, c_0_88]), c_0_89])).
cnf(c_0_110, plain, (k4_lattices(k5_latwal_1,X1,np__2)=k4_lattices(k5_latwal_1,np__2,X1)|~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_96, c_0_84]), c_0_94])]), c_0_86])).
fof(c_0_111, 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_112, plain, (r2_tarski(X1,k1_enumset1(X1,X2,X3))), inference(spm,[status(thm)],[c_0_50, c_0_97])).
cnf(c_0_113, 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_98, c_0_71])).
cnf(c_0_114, plain, (v1_xboole_0(u1_struct_0(X1))|r2_hidden(esk3_1(X1),u1_struct_0(X1))|v2_struct_0(X1)|v1_latwal_1(X1)|~l3_lattices(X1)), inference(spm,[status(thm)],[c_0_99, c_0_100])).
cnf(c_0_115, plain, (~v1_xboole_0(u1_struct_0(k5_latwal_1))), inference(spm,[status(thm)],[c_0_101, c_0_71])).
cnf(c_0_116, plain, (k1_lattices(k5_latwal_1,X1,np__2)=k3_lattices(k5_latwal_1,X1,np__2)|~m1_subset_1(X1,u1_struct_0(k5_latwal_1))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102, c_0_89]), c_0_54])])).
cnf(c_0_117, plain, (k3_lattices(k5_latwal_1,esk4_1(k5_latwal_1),np__2)=k3_lattices(k5_latwal_1,np__2,esk4_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(spm,[status(thm)],[c_0_103, c_0_84]), c_0_85]), c_0_54])]), c_0_86]), c_0_104])).
cnf(c_0_118, plain, (k3_lattices(k5_latwal_1,esk2_1(k5_latwal_1),np__2)=k3_lattices(k5_latwal_1,np__2,esk2_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(spm,[status(thm)],[c_0_105, c_0_84]), c_0_85]), c_0_54])]), c_0_86]), c_0_104])).
cnf(c_0_119, plain, (v1_xboole_0(u1_struct_0(X1))|r2_tarski(esk2_1(X1),u1_struct_0(X1))|v2_struct_0(X1)|v1_latwal_1(X1)|~l3_lattices(X1)), inference(spm,[status(thm)],[c_0_80, c_0_91])).
cnf(c_0_120, 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_106])).
cnf(c_0_121, plain, (v9_lattices(k5_latwal_1)), inference(split_conjunct,[status(thm)],[c_0_72])).
cnf(c_0_122, plain, (v8_lattices(k5_latwal_1)), inference(split_conjunct,[status(thm)],[c_0_72])).
cnf(c_0_123, plain, (k2_lattices(k5_latwal_1,X1,np__2)=k4_lattices(k5_latwal_1,X1,np__2)|~m1_subset_1(X1,u1_struct_0(k5_latwal_1))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107, c_0_108]), c_0_54])])).
cnf(c_0_124, plain, (m1_subset_1(k3_lattices(k5_latwal_1,np__2,esk4_1(k5_latwal_1)),u1_struct_0(k5_latwal_1))), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109, c_0_84]), c_0_85]), c_0_54])]), c_0_86]), c_0_104])).
cnf(c_0_125, plain, (k4_lattices(k5_latwal_1,X1,np__2)=k4_lattices(k5_latwal_1,np__2,X1)|~m1_subset_1(X1,u1_struct_0(k5_latwal_1))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110, c_0_108]), c_0_54])])).
fof(c_0_126, plain, ![X138, X139]:(v2_struct_0(X138)|~v6_lattices(X138)|~v8_lattices(X138)|~v9_lattices(X138)|~l3_lattices(X138)|~m1_subset_1(X139,u1_struct_0(X138))|k4_lattices(X138,X139,X139)=X139), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_111])])).
cnf(c_0_127, plain, (m1_subset_1(X1,k1_enumset1(X1,X2,X3))), inference(spm,[status(thm)],[c_0_58, c_0_112])).
fof(c_0_128, plain, ![X130, X131]:(~m1_subset_1(X130,u1_struct_0(k5_latwal_1))|(~m1_subset_1(X131,u1_struct_0(k5_latwal_1))|(X130!=k5_ordinal1|X131!=np__2|k4_lattices(k5_latwal_1,X130,X131)=np__2))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[l42_latwal_2])])])).
cnf(c_0_129, plain, (r2_hidden(X1,X3)|X1!=X2|X3!=k1_enumset1(X4,X2,X5)), inference(split_conjunct,[status(thm)],[c_0_33])).
cnf(c_0_130, plain, (v1_latwal_1(X1)|v2_struct_0(X1)|k2_lattices(X1,k2_lattices(X1,k1_lattices(X1,esk4_1(X1),esk3_1(X1)),k1_lattices(X1,esk2_1(X1),esk3_1(X1))),esk3_1(X1))!=esk3_1(X1)|~l3_lattices(X1)), inference(split_conjunct,[status(thm)],[c_0_67])).
cnf(c_0_131, plain, (esk3_1(k5_latwal_1)=k5_ordinal1|esk3_1(k5_latwal_1)=np__1|esk3_1(k5_latwal_1)=np__2), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113, c_0_114]), c_0_54])]), c_0_115]), c_0_86]), c_0_104])).
cnf(c_0_132, plain, (k1_lattices(k5_latwal_1,esk4_1(k5_latwal_1),np__2)=k3_lattices(k5_latwal_1,np__2,esk4_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_116, c_0_88]), c_0_54])]), c_0_86]), c_0_104]), c_0_117])).
cnf(c_0_133, plain, (k1_lattices(k5_latwal_1,esk2_1(k5_latwal_1),np__2)=k3_lattices(k5_latwal_1,np__2,esk2_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_116, c_0_91]), c_0_54])]), c_0_86]), c_0_104]), c_0_118])).
cnf(c_0_134, plain, (v1_xboole_0(u1_struct_0(X1))|r2_hidden(esk2_1(X1),u1_struct_0(X1))|v2_struct_0(X1)|v1_latwal_1(X1)|~l3_lattices(X1)), inference(spm,[status(thm)],[c_0_99, c_0_119])).
cnf(c_0_135, plain, (k1_lattices(k5_latwal_1,np__2,np__2)=np__2), 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_120, c_0_84]), c_0_121]), c_0_122]), c_0_94]), c_0_54])]), c_0_86])).
cnf(c_0_136, plain, (k2_lattices(k5_latwal_1,k3_lattices(k5_latwal_1,np__2,esk4_1(k5_latwal_1)),np__2)=k4_lattices(k5_latwal_1,k3_lattices(k5_latwal_1,np__2,esk4_1(k5_latwal_1)),np__2)), inference(spm,[status(thm)],[c_0_123, c_0_124])).
cnf(c_0_137, plain, (k4_lattices(k5_latwal_1,k3_lattices(k5_latwal_1,np__2,esk4_1(k5_latwal_1)),np__2)=k4_lattices(k5_latwal_1,np__2,k3_lattices(k5_latwal_1,np__2,esk4_1(k5_latwal_1)))), inference(spm,[status(thm)],[c_0_125, c_0_124])).
cnf(c_0_138, plain, (v1_xboole_0(u1_struct_0(X1))|r2_tarski(esk4_1(X1),u1_struct_0(X1))|v2_struct_0(X1)|v1_latwal_1(X1)|~l3_lattices(X1)), inference(spm,[status(thm)],[c_0_80, c_0_88])).
cnf(c_0_139, 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_126])).
fof(c_0_140, 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__2|X121!=k5_ordinal1|k3_lattices(k5_latwal_1,X120,X121)=k5_ordinal1))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[l36_latwal_2])])])).
cnf(c_0_141, plain, (m1_subset_1(k5_ordinal1,u1_struct_0(k5_latwal_1))), inference(spm,[status(thm)],[c_0_127, c_0_71])).
cnf(c_0_142, 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_128])).
cnf(c_0_143, plain, (r2_hidden(X1,k1_enumset1(X2,X1,X3))), inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_129])])).
cnf(c_0_144, plain, (esk3_1(k5_latwal_1)=np__1|esk3_1(k5_latwal_1)=k5_ordinal1|k2_lattices(k5_latwal_1,k2_lattices(k5_latwal_1,k3_lattices(k5_latwal_1,np__2,esk4_1(k5_latwal_1)),k3_lattices(k5_latwal_1,np__2,esk2_1(k5_latwal_1))),np__2)!=np__2), 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_131]), c_0_132]), c_0_133]), c_0_54])]), c_0_86]), c_0_104])).
cnf(c_0_145, plain, (esk2_1(k5_latwal_1)=k5_ordinal1|esk2_1(k5_latwal_1)=np__1|esk2_1(k5_latwal_1)=np__2), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113, c_0_134]), c_0_54])]), c_0_115]), c_0_86]), c_0_104])).
cnf(c_0_146, plain, (k3_lattices(k5_latwal_1,np__2,np__2)=np__2), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116, c_0_84]), c_0_135])).
cnf(c_0_147, plain, (k2_lattices(k5_latwal_1,k3_lattices(k5_latwal_1,np__2,esk4_1(k5_latwal_1)),np__2)=k4_lattices(k5_latwal_1,np__2,k3_lattices(k5_latwal_1,np__2,esk4_1(k5_latwal_1)))), inference(rw,[status(thm)],[c_0_136, c_0_137])).
cnf(c_0_148, plain, (v1_xboole_0(u1_struct_0(X1))|r2_hidden(esk4_1(X1),u1_struct_0(X1))|v2_struct_0(X1)|v1_latwal_1(X1)|~l3_lattices(X1)), inference(spm,[status(thm)],[c_0_99, c_0_138])).
cnf(c_0_149, plain, (k4_lattices(k5_latwal_1,np__2,np__2)=np__2), 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_139, c_0_84]), c_0_121]), c_0_122]), c_0_94]), c_0_54])]), c_0_86])).
cnf(c_0_150, 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_140])).
cnf(c_0_151, plain, (k4_lattices(k5_latwal_1,X1,k5_ordinal1)=k4_lattices(k5_latwal_1,k5_ordinal1,X1)|~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_96, c_0_141]), c_0_94])]), c_0_86])).
cnf(c_0_152, 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_142])])).
fof(c_0_153, 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!=np__1|k3_lattices(k5_latwal_1,X114,X115)=np__2))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[l33_latwal_2])])])).
cnf(c_0_154, plain, (r2_tarski(X1,k1_enumset1(X2,X1,X3))), inference(spm,[status(thm)],[c_0_50, c_0_143])).
cnf(c_0_155, plain, (esk2_1(k5_latwal_1)=np__1|esk2_1(k5_latwal_1)=k5_ordinal1|esk3_1(k5_latwal_1)=k5_ordinal1|esk3_1(k5_latwal_1)=np__1|k2_lattices(k5_latwal_1,k4_lattices(k5_latwal_1,np__2,k3_lattices(k5_latwal_1,np__2,esk4_1(k5_latwal_1))),np__2)!=np__2), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_144, c_0_145]), c_0_146]), c_0_147])).
cnf(c_0_156, plain, (esk4_1(k5_latwal_1)=k5_ordinal1|esk4_1(k5_latwal_1)=np__1|esk4_1(k5_latwal_1)=np__2), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113, c_0_148]), c_0_54])]), c_0_115]), c_0_86]), c_0_104])).
cnf(c_0_157, plain, (k2_lattices(k5_latwal_1,np__2,np__2)=np__2), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123, c_0_84]), c_0_149])).
cnf(c_0_158, 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_150])])).
cnf(c_0_159, plain, (k4_lattices(k5_latwal_1,X1,k5_ordinal1)=k4_lattices(k5_latwal_1,k5_ordinal1,X1)|~m1_subset_1(X1,u1_struct_0(k5_latwal_1))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_151, c_0_108]), c_0_54])])).
cnf(c_0_160, 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_152, c_0_141])]), c_0_84])])).
cnf(c_0_161, 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_153])).
cnf(c_0_162, plain, (m1_subset_1(X1,k1_enumset1(X2,X1,X3))), inference(spm,[status(thm)],[c_0_58, c_0_154])).
cnf(c_0_163, plain, (k2_lattices(k5_latwal_1,X1,k5_ordinal1)=k4_lattices(k5_latwal_1,X1,k5_ordinal1)|~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_93, c_0_141]), c_0_94])]), c_0_86])).
cnf(c_0_164, plain, (esk4_1(k5_latwal_1)=np__1|esk4_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)=k5_ordinal1|esk2_1(k5_latwal_1)=np__1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_155, c_0_156]), c_0_146]), c_0_149]), c_0_157])])).
cnf(c_0_165, 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_158, c_0_141])]), c_0_84])])).
cnf(c_0_166, plain, (k4_lattices(k5_latwal_1,np__2,k5_ordinal1)=np__2), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_159, c_0_84]), c_0_160])).
cnf(c_0_167, 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_161])])).
cnf(c_0_168, plain, (m1_subset_1(np__1,u1_struct_0(k5_latwal_1))), inference(spm,[status(thm)],[c_0_162, c_0_71])).
cnf(c_0_169, plain, (k2_lattices(k5_latwal_1,X1,k5_ordinal1)=k4_lattices(k5_latwal_1,X1,k5_ordinal1)|~m1_subset_1(X1,u1_struct_0(k5_latwal_1))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_163, c_0_108]), c_0_54])])).
cnf(c_0_170, plain, (esk4_1(k5_latwal_1)=np__1|esk3_1(k5_latwal_1)=np__1|esk3_1(k5_latwal_1)=k5_ordinal1|esk2_1(k5_latwal_1)=k5_ordinal1|esk2_1(k5_latwal_1)=np__1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_155, c_0_164]), c_0_165]), c_0_166]), c_0_157])])).
cnf(c_0_171, 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_167, c_0_84])]), c_0_168])])).
cnf(c_0_172, plain, (k2_lattices(k5_latwal_1,k3_lattices(k5_latwal_1,np__2,esk4_1(k5_latwal_1)),k5_ordinal1)=k4_lattices(k5_latwal_1,k3_lattices(k5_latwal_1,np__2,esk4_1(k5_latwal_1)),k5_ordinal1)), inference(spm,[status(thm)],[c_0_169, c_0_124])).
cnf(c_0_173, plain, (k4_lattices(k5_latwal_1,k3_lattices(k5_latwal_1,np__2,esk4_1(k5_latwal_1)),k5_ordinal1)=k4_lattices(k5_latwal_1,k5_ordinal1,k3_lattices(k5_latwal_1,np__2,esk4_1(k5_latwal_1)))), inference(spm,[status(thm)],[c_0_159, c_0_124])).
cnf(c_0_174, plain, (esk3_1(k5_latwal_1)=np__1|esk3_1(k5_latwal_1)=k5_ordinal1|esk2_1(k5_latwal_1)=k5_ordinal1|esk2_1(k5_latwal_1)=np__1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_155, c_0_170]), c_0_171]), c_0_149]), c_0_157])])).
cnf(c_0_175, plain, (k2_lattices(k5_latwal_1,k3_lattices(k5_latwal_1,np__2,esk4_1(k5_latwal_1)),k5_ordinal1)=k4_lattices(k5_latwal_1,k5_ordinal1,k3_lattices(k5_latwal_1,np__2,esk4_1(k5_latwal_1)))), inference(rw,[status(thm)],[c_0_172, c_0_173])).
cnf(c_0_176, plain, (esk2_1(k5_latwal_1)=np__1|esk3_1(k5_latwal_1)=k5_ordinal1|esk3_1(k5_latwal_1)=np__1|k2_lattices(k5_latwal_1,k4_lattices(k5_latwal_1,k5_ordinal1,k3_lattices(k5_latwal_1,np__2,esk4_1(k5_latwal_1))),np__2)!=np__2), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_144, c_0_174]), c_0_165]), c_0_175])).
cnf(c_0_177, plain, (esk4_1(k5_latwal_1)=np__1|esk4_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)=np__1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_176, c_0_156]), c_0_146]), c_0_160]), c_0_157])])).
cnf(c_0_178, plain, (k4_lattices(k5_latwal_1,k5_ordinal1,k5_ordinal1)=k5_ordinal1), 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_139, c_0_141]), c_0_121]), c_0_122]), c_0_94]), c_0_54])]), c_0_86])).
cnf(c_0_179, plain, (k2_lattices(k5_latwal_1,k5_ordinal1,np__2)=np__2), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123, c_0_141]), c_0_160])).
cnf(c_0_180, plain, (esk4_1(k5_latwal_1)=np__1|esk3_1(k5_latwal_1)=np__1|esk3_1(k5_latwal_1)=k5_ordinal1|esk2_1(k5_latwal_1)=np__1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_176, c_0_177]), c_0_165]), c_0_178]), c_0_179])])).
cnf(c_0_181, plain, (esk3_1(k5_latwal_1)=np__1|esk3_1(k5_latwal_1)=k5_ordinal1|esk2_1(k5_latwal_1)=np__1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_176, c_0_180]), c_0_171]), c_0_160]), c_0_157])])).
cnf(c_0_182, plain, (m1_subset_1(k3_lattices(X1,X2,esk2_1(X1)),u1_struct_0(X1))|v2_struct_0(X1)|v1_latwal_1(X1)|~m1_subset_1(X2,u1_struct_0(X1))|~v4_lattices(X1)|~l3_lattices(X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_95, c_0_91]), c_0_89])).
cnf(c_0_183, plain, (esk3_1(k5_latwal_1)=k5_ordinal1|esk3_1(k5_latwal_1)=np__1|k2_lattices(k5_latwal_1,k4_lattices(k5_latwal_1,np__2,k3_lattices(k5_latwal_1,np__2,esk4_1(k5_latwal_1))),np__2)!=np__2), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_144, c_0_181]), c_0_171]), c_0_147])).
cnf(c_0_184, plain, (m1_subset_1(k3_lattices(k5_latwal_1,k5_ordinal1,esk2_1(k5_latwal_1)),u1_struct_0(k5_latwal_1))), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_182, c_0_141]), c_0_85]), c_0_54])]), c_0_86]), c_0_104])).
cnf(c_0_185, plain, (k1_lattices(X1,X2,esk3_1(X1))=k3_lattices(X1,X2,esk3_1(X1))|v2_struct_0(X1)|v1_latwal_1(X1)|~m1_subset_1(X2,u1_struct_0(X1))|~v4_lattices(X1)|~l3_lattices(X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_83, c_0_81]), c_0_89])).
cnf(c_0_186, plain, (esk4_1(k5_latwal_1)=np__1|esk4_1(k5_latwal_1)=k5_ordinal1|esk3_1(k5_latwal_1)=np__1|esk3_1(k5_latwal_1)=k5_ordinal1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_183, c_0_156]), c_0_146]), c_0_149]), c_0_157])])).
cnf(c_0_187, plain, (k1_lattices(k5_latwal_1,X1,k5_ordinal1)=k3_lattices(k5_latwal_1,X1,k5_ordinal1)|~m1_subset_1(X1,u1_struct_0(k5_latwal_1))|~l2_lattices(k5_latwal_1)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83, c_0_141]), c_0_85])]), c_0_86])).
cnf(c_0_188, plain, (k2_lattices(k5_latwal_1,X1,k3_lattices(k5_latwal_1,k5_ordinal1,esk2_1(k5_latwal_1)))=k4_lattices(k5_latwal_1,X1,k3_lattices(k5_latwal_1,k5_ordinal1,esk2_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_93, c_0_184]), c_0_94])]), c_0_86])).
fof(c_0_189, plain, ![X124, X125]:(~m1_subset_1(X124,u1_struct_0(k5_latwal_1))|(~m1_subset_1(X125,u1_struct_0(k5_latwal_1))|(X124!=k5_ordinal1|X125!=np__2|k3_lattices(k5_latwal_1,X124,X125)=k5_ordinal1))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[l38_latwal_2])])])).
cnf(c_0_190, plain, (m1_subset_1(k3_lattices(k5_latwal_1,k5_ordinal1,esk4_1(k5_latwal_1)),u1_struct_0(k5_latwal_1))), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109, c_0_141]), c_0_85]), c_0_54])]), c_0_86]), c_0_104])).
cnf(c_0_191, plain, (k1_lattices(k5_latwal_1,np__2,esk3_1(k5_latwal_1))=k3_lattices(k5_latwal_1,np__2,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(spm,[status(thm)],[c_0_185, c_0_84]), c_0_85]), c_0_54])]), c_0_86]), c_0_104])).
cnf(c_0_192, plain, (esk4_1(k5_latwal_1)=np__1|esk3_1(k5_latwal_1)=np__1|esk3_1(k5_latwal_1)=k5_ordinal1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_183, c_0_186]), c_0_165]), c_0_166]), c_0_157])])).
cnf(c_0_193, plain, (k1_lattices(k5_latwal_1,X1,k5_ordinal1)=k3_lattices(k5_latwal_1,X1,k5_ordinal1)|~m1_subset_1(X1,u1_struct_0(k5_latwal_1))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_187, c_0_89]), c_0_54])])).
cnf(c_0_194, plain, (k3_lattices(k5_latwal_1,esk2_1(k5_latwal_1),k5_ordinal1)=k3_lattices(k5_latwal_1,k5_ordinal1,esk2_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(spm,[status(thm)],[c_0_105, c_0_141]), c_0_85]), c_0_54])]), c_0_86]), c_0_104])).
cnf(c_0_195, plain, (k2_lattices(k5_latwal_1,X1,k3_lattices(k5_latwal_1,k5_ordinal1,esk2_1(k5_latwal_1)))=k4_lattices(k5_latwal_1,X1,k3_lattices(k5_latwal_1,k5_ordinal1,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_188, c_0_108]), c_0_54])])).
cnf(c_0_196, 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_189])).
cnf(c_0_197, plain, (k3_lattices(k5_latwal_1,esk4_1(k5_latwal_1),k5_ordinal1)=k3_lattices(k5_latwal_1,k5_ordinal1,esk4_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(spm,[status(thm)],[c_0_103, c_0_141]), c_0_85]), c_0_54])]), c_0_86]), c_0_104])).
cnf(c_0_198, plain, (k2_lattices(k5_latwal_1,k3_lattices(k5_latwal_1,k5_ordinal1,esk4_1(k5_latwal_1)),k5_ordinal1)=k4_lattices(k5_latwal_1,k3_lattices(k5_latwal_1,k5_ordinal1,esk4_1(k5_latwal_1)),k5_ordinal1)), inference(spm,[status(thm)],[c_0_169, c_0_190])).
cnf(c_0_199, plain, (k4_lattices(k5_latwal_1,k3_lattices(k5_latwal_1,k5_ordinal1,esk4_1(k5_latwal_1)),k5_ordinal1)=k4_lattices(k5_latwal_1,k5_ordinal1,k3_lattices(k5_latwal_1,k5_ordinal1,esk4_1(k5_latwal_1)))), inference(spm,[status(thm)],[c_0_159, c_0_190])).
cnf(c_0_200, plain, (esk4_1(k5_latwal_1)=np__1|esk4_1(k5_latwal_1)=k5_ordinal1|k2_lattices(k5_latwal_1,k2_lattices(k5_latwal_1,k3_lattices(k5_latwal_1,np__2,esk3_1(k5_latwal_1)),k1_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(spm,[status(thm)],[c_0_130, c_0_156]), c_0_191]), c_0_54])]), c_0_86]), c_0_104])).
cnf(c_0_201, plain, (esk3_1(k5_latwal_1)=np__1|esk3_1(k5_latwal_1)=k5_ordinal1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_183, c_0_192]), c_0_171]), c_0_149]), c_0_157])])).
cnf(c_0_202, plain, (k1_lattices(k5_latwal_1,esk2_1(k5_latwal_1),k5_ordinal1)=k3_lattices(k5_latwal_1,k5_ordinal1,esk2_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_193, c_0_91]), c_0_54])]), c_0_86]), c_0_104]), c_0_194])).
cnf(c_0_203, plain, (k2_lattices(k5_latwal_1,k5_ordinal1,k3_lattices(k5_latwal_1,k5_ordinal1,esk2_1(k5_latwal_1)))=k4_lattices(k5_latwal_1,k5_ordinal1,k3_lattices(k5_latwal_1,k5_ordinal1,esk2_1(k5_latwal_1)))), inference(spm,[status(thm)],[c_0_195, c_0_141])).
cnf(c_0_204, 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_196])])).
fof(c_0_205, plain, ![X118, X119]:(~m1_subset_1(X118,u1_struct_0(k5_latwal_1))|(~m1_subset_1(X119,u1_struct_0(k5_latwal_1))|(X118!=k5_ordinal1|X119!=np__1|k3_lattices(k5_latwal_1,X118,X119)=np__1))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[l35_latwal_2])])])).
fof(c_0_206, plain, ![X128, X129]:(~m1_subset_1(X128,u1_struct_0(k5_latwal_1))|(~m1_subset_1(X129,u1_struct_0(k5_latwal_1))|(X128!=k5_ordinal1|X129!=np__1|k4_lattices(k5_latwal_1,X128,X129)=k5_ordinal1))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[l40_latwal_2])])])).
cnf(c_0_207, plain, (esk2_1(k5_latwal_1)=np__1|esk2_1(k5_latwal_1)=k5_ordinal1|k2_lattices(k5_latwal_1,k2_lattices(k5_latwal_1,k1_lattices(k5_latwal_1,esk4_1(k5_latwal_1),esk3_1(k5_latwal_1)),k3_lattices(k5_latwal_1,np__2,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(spm,[status(thm)],[c_0_130, c_0_145]), c_0_191]), c_0_54])]), c_0_86]), c_0_104])).
cnf(c_0_208, plain, (k1_lattices(k5_latwal_1,esk4_1(k5_latwal_1),k5_ordinal1)=k3_lattices(k5_latwal_1,k5_ordinal1,esk4_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_193, c_0_88]), c_0_54])]), c_0_86]), c_0_104]), c_0_197])).
cnf(c_0_209, plain, (k2_lattices(k5_latwal_1,k3_lattices(k5_latwal_1,k5_ordinal1,esk4_1(k5_latwal_1)),k5_ordinal1)=k4_lattices(k5_latwal_1,k5_ordinal1,k3_lattices(k5_latwal_1,k5_ordinal1,esk4_1(k5_latwal_1)))), inference(rw,[status(thm)],[c_0_198, c_0_199])).
cnf(c_0_210, plain, (esk3_1(k5_latwal_1)=np__1|esk4_1(k5_latwal_1)=k5_ordinal1|esk4_1(k5_latwal_1)=np__1|k2_lattices(k5_latwal_1,k4_lattices(k5_latwal_1,k5_ordinal1,k3_lattices(k5_latwal_1,k5_ordinal1,esk2_1(k5_latwal_1))),k5_ordinal1)!=k5_ordinal1), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_200, c_0_201]), c_0_165]), c_0_202]), c_0_203])).
cnf(c_0_211, 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_204, c_0_141])]), c_0_84])])).
cnf(c_0_212, plain, (k2_lattices(k5_latwal_1,k5_ordinal1,k5_ordinal1)=k5_ordinal1), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_169, c_0_141]), c_0_178])).
cnf(c_0_213, plain, (k1_lattices(k5_latwal_1,k5_ordinal1,k5_ordinal1)=k5_ordinal1), 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_120, c_0_141]), c_0_121]), c_0_122]), c_0_94]), c_0_54])]), c_0_86])).
cnf(c_0_214, 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_205])).
cnf(c_0_215, 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_206])).
cnf(c_0_216, plain, (esk3_1(k5_latwal_1)=np__1|esk2_1(k5_latwal_1)=k5_ordinal1|esk2_1(k5_latwal_1)=np__1|k2_lattices(k5_latwal_1,k4_lattices(k5_latwal_1,k5_ordinal1,k3_lattices(k5_latwal_1,k5_ordinal1,esk4_1(k5_latwal_1))),k5_ordinal1)!=k5_ordinal1), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_207, c_0_201]), c_0_208]), c_0_165]), c_0_209])).
cnf(c_0_217, plain, (esk2_1(k5_latwal_1)=np__1|esk2_1(k5_latwal_1)=k5_ordinal1|esk4_1(k5_latwal_1)=np__1|esk4_1(k5_latwal_1)=k5_ordinal1|esk3_1(k5_latwal_1)=np__1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_210, c_0_145]), c_0_211]), c_0_178]), c_0_212])])).
cnf(c_0_218, plain, (k3_lattices(k5_latwal_1,k5_ordinal1,k5_ordinal1)=k5_ordinal1), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_193, c_0_141]), c_0_213])).
cnf(c_0_219, 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_214])])).
cnf(c_0_220, 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_215])])).
cnf(c_0_221, plain, (esk4_1(k5_latwal_1)=np__1|esk2_1(k5_latwal_1)=np__1|esk2_1(k5_latwal_1)=k5_ordinal1|esk3_1(k5_latwal_1)=np__1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_216, c_0_217]), c_0_218]), c_0_178]), c_0_212])])).
cnf(c_0_222, 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_219, c_0_141])]), c_0_168])])).
cnf(c_0_223, 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_220, c_0_141])]), c_0_168])])).
cnf(c_0_224, plain, (esk3_1(k5_latwal_1)=np__1|k2_lattices(k5_latwal_1,k2_lattices(k5_latwal_1,k3_lattices(k5_latwal_1,k5_ordinal1,esk4_1(k5_latwal_1)),k3_lattices(k5_latwal_1,k5_ordinal1,esk2_1(k5_latwal_1))),k5_ordinal1)!=k5_ordinal1), 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_201]), c_0_208]), c_0_202]), c_0_54])]), c_0_86]), c_0_104])).
cnf(c_0_225, plain, (esk2_1(k5_latwal_1)=np__1|esk2_1(k5_latwal_1)=k5_ordinal1|esk3_1(k5_latwal_1)=np__1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_216, c_0_221]), c_0_222]), c_0_223]), c_0_212])])).
cnf(c_0_226, plain, (k2_lattices(k5_latwal_1,X1,np__1)=k4_lattices(k5_latwal_1,X1,np__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_93, c_0_168]), c_0_94])]), c_0_86])).
cnf(c_0_227, plain, (k4_lattices(k5_latwal_1,X1,np__1)=k4_lattices(k5_latwal_1,np__1,X1)|~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_96, c_0_168]), c_0_94])]), c_0_86])).
cnf(c_0_228, plain, (esk2_1(k5_latwal_1)=np__1|esk3_1(k5_latwal_1)=np__1|k2_lattices(k5_latwal_1,k4_lattices(k5_latwal_1,k5_ordinal1,k3_lattices(k5_latwal_1,k5_ordinal1,esk4_1(k5_latwal_1))),k5_ordinal1)!=k5_ordinal1), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_224, c_0_225]), c_0_218]), c_0_209])).
cnf(c_0_229, plain, (esk2_1(k5_latwal_1)=np__1|esk4_1(k5_latwal_1)=np__1|esk4_1(k5_latwal_1)=k5_ordinal1|esk3_1(k5_latwal_1)=np__1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_210, c_0_225]), c_0_218]), c_0_178]), c_0_212])])).
cnf(c_0_230, plain, (k2_lattices(k5_latwal_1,X1,np__1)=k4_lattices(k5_latwal_1,X1,np__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_226, c_0_108]), c_0_54])])).
cnf(c_0_231, plain, (k4_lattices(k5_latwal_1,X1,np__1)=k4_lattices(k5_latwal_1,np__1,X1)|~m1_subset_1(X1,u1_struct_0(k5_latwal_1))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_227, c_0_108]), c_0_54])])).
fof(c_0_232, plain, ![X134, X135]:(~m1_subset_1(X134,u1_struct_0(k5_latwal_1))|(~m1_subset_1(X135,u1_struct_0(k5_latwal_1))|(X134!=np__1|X135!=k5_ordinal1|k4_lattices(k5_latwal_1,X134,X135)=k5_ordinal1))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[l44_latwal_2])])])).
cnf(c_0_233, plain, (esk4_1(k5_latwal_1)=np__1|esk3_1(k5_latwal_1)=np__1|esk2_1(k5_latwal_1)=np__1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_228, c_0_229]), c_0_218]), c_0_178]), c_0_212])])).
cnf(c_0_234, plain, (k2_lattices(k5_latwal_1,k3_lattices(k5_latwal_1,k5_ordinal1,esk4_1(k5_latwal_1)),np__1)=k4_lattices(k5_latwal_1,k3_lattices(k5_latwal_1,k5_ordinal1,esk4_1(k5_latwal_1)),np__1)), inference(spm,[status(thm)],[c_0_230, c_0_190])).
cnf(c_0_235, plain, (k4_lattices(k5_latwal_1,k3_lattices(k5_latwal_1,k5_ordinal1,esk4_1(k5_latwal_1)),np__1)=k4_lattices(k5_latwal_1,np__1,k3_lattices(k5_latwal_1,k5_ordinal1,esk4_1(k5_latwal_1)))), inference(spm,[status(thm)],[c_0_231, c_0_190])).
cnf(c_0_236, 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_232])).
cnf(c_0_237, plain, (esk3_1(k5_latwal_1)=np__1|esk2_1(k5_latwal_1)=np__1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_228, c_0_233]), c_0_222]), c_0_223]), c_0_212])])).
cnf(c_0_238, plain, (k2_lattices(k5_latwal_1,k3_lattices(k5_latwal_1,k5_ordinal1,esk4_1(k5_latwal_1)),np__1)=k4_lattices(k5_latwal_1,np__1,k3_lattices(k5_latwal_1,k5_ordinal1,esk4_1(k5_latwal_1)))), inference(rw,[status(thm)],[c_0_234, c_0_235])).
cnf(c_0_239, 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_236])])).
fof(c_0_240, plain, ![X126, X127]:(~m1_subset_1(X126,u1_struct_0(k5_latwal_1))|(~m1_subset_1(X127,u1_struct_0(k5_latwal_1))|(X126!=np__2|X127!=np__1|k4_lattices(k5_latwal_1,X126,X127)=np__1))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[l39_latwal_2])])])).
cnf(c_0_241, plain, (k1_lattices(X1,esk4_1(X1),esk3_1(X1))=k3_lattices(X1,esk4_1(X1),esk3_1(X1))|v2_struct_0(X1)|v1_latwal_1(X1)|~v4_lattices(X1)|~l3_lattices(X1)), inference(spm,[status(thm)],[c_0_185, c_0_88])).
cnf(c_0_242, plain, (esk3_1(k5_latwal_1)=np__1|k2_lattices(k5_latwal_1,k4_lattices(k5_latwal_1,np__1,k3_lattices(k5_latwal_1,k5_ordinal1,esk4_1(k5_latwal_1))),k5_ordinal1)!=k5_ordinal1), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_224, c_0_237]), c_0_222]), c_0_238])).
cnf(c_0_243, plain, (esk4_1(k5_latwal_1)=np__1|esk4_1(k5_latwal_1)=k5_ordinal1|esk3_1(k5_latwal_1)=np__1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_210, c_0_237]), c_0_222]), c_0_223]), c_0_212])])).
cnf(c_0_244, 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_239, c_0_141])]), c_0_168])])).
cnf(c_0_245, plain, (m1_subset_1(k3_lattices(k5_latwal_1,np__1,esk4_1(k5_latwal_1)),u1_struct_0(k5_latwal_1))), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109, c_0_168]), c_0_85]), c_0_54])]), c_0_86]), c_0_104])).
fof(c_0_246, plain, ![X116, X117]:(~m1_subset_1(X116,u1_struct_0(k5_latwal_1))|(~m1_subset_1(X117,u1_struct_0(k5_latwal_1))|(X116!=np__1|X117!=np__2|k3_lattices(k5_latwal_1,X116,X117)=np__2))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[l34_latwal_2])])])).
cnf(c_0_247, 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_240])).
cnf(c_0_248, plain, (esk2_1(k5_latwal_1)=k5_ordinal1|esk2_1(k5_latwal_1)=np__1|k2_lattices(k5_latwal_1,k2_lattices(k5_latwal_1,k3_lattices(k5_latwal_1,esk4_1(k5_latwal_1),esk3_1(k5_latwal_1)),k3_lattices(k5_latwal_1,np__2,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(spm,[status(thm)],[c_0_207, c_0_241]), c_0_85]), c_0_54])]), c_0_86]), c_0_104])).
cnf(c_0_249, plain, (k3_lattices(X1,esk4_1(X1),esk3_1(X1))=k3_lattices(X1,esk3_1(X1),esk4_1(X1))|v2_struct_0(X1)|v1_latwal_1(X1)|~v4_lattices(X1)|~l3_lattices(X1)), inference(spm,[status(thm)],[c_0_103, c_0_81])).
cnf(c_0_250, plain, (esk4_1(k5_latwal_1)=np__1|esk3_1(k5_latwal_1)=np__1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_242, c_0_243]), c_0_218]), c_0_244]), c_0_212])])).
cnf(c_0_251, plain, (k4_lattices(k5_latwal_1,np__1,np__1)=np__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_139, c_0_168]), c_0_121]), c_0_122]), c_0_94]), c_0_54])]), c_0_86])).
cnf(c_0_252, plain, (k2_lattices(k5_latwal_1,np__1,k5_ordinal1)=k5_ordinal1), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_169, c_0_168]), c_0_244])).
cnf(c_0_253, plain, (k2_lattices(k5_latwal_1,k3_lattices(k5_latwal_1,np__1,esk4_1(k5_latwal_1)),np__2)=k4_lattices(k5_latwal_1,k3_lattices(k5_latwal_1,np__1,esk4_1(k5_latwal_1)),np__2)), inference(spm,[status(thm)],[c_0_123, c_0_245])).
cnf(c_0_254, plain, (k4_lattices(k5_latwal_1,k3_lattices(k5_latwal_1,np__1,esk4_1(k5_latwal_1)),np__2)=k4_lattices(k5_latwal_1,np__2,k3_lattices(k5_latwal_1,np__1,esk4_1(k5_latwal_1)))), inference(spm,[status(thm)],[c_0_125, c_0_245])).
cnf(c_0_255, 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_246])).
cnf(c_0_256, 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_247])])).
fof(c_0_257, plain, ![X122, X123]:(~m1_subset_1(X122,u1_struct_0(k5_latwal_1))|(~m1_subset_1(X123,u1_struct_0(k5_latwal_1))|(X122!=np__1|X123!=k5_ordinal1|k3_lattices(k5_latwal_1,X122,X123)=np__1))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[l37_latwal_2])])])).
cnf(c_0_258, plain, (esk2_1(k5_latwal_1)=np__1|esk2_1(k5_latwal_1)=k5_ordinal1|k2_lattices(k5_latwal_1,k2_lattices(k5_latwal_1,k3_lattices(k5_latwal_1,esk3_1(k5_latwal_1),esk4_1(k5_latwal_1)),k3_lattices(k5_latwal_1,np__2,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(spm,[status(thm)],[c_0_248, c_0_249]), c_0_85]), c_0_54])]), c_0_86]), c_0_104])).
cnf(c_0_259, plain, (esk3_1(k5_latwal_1)=np__1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_242, c_0_250]), c_0_222]), c_0_251]), c_0_252])])).
cnf(c_0_260, plain, (k2_lattices(k5_latwal_1,k3_lattices(k5_latwal_1,np__1,esk4_1(k5_latwal_1)),np__2)=k4_lattices(k5_latwal_1,np__2,k3_lattices(k5_latwal_1,np__1,esk4_1(k5_latwal_1)))), inference(rw,[status(thm)],[c_0_253, c_0_254])).
cnf(c_0_261, 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_255])])).
cnf(c_0_262, 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_256, c_0_84])]), c_0_168])])).
cnf(c_0_263, 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_257])).
cnf(c_0_264, plain, (m1_subset_1(k3_lattices(k5_latwal_1,np__1,esk2_1(k5_latwal_1)),u1_struct_0(k5_latwal_1))), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_182, c_0_168]), c_0_85]), c_0_54])]), c_0_86]), c_0_104])).
cnf(c_0_265, plain, (esk2_1(k5_latwal_1)=k5_ordinal1|esk2_1(k5_latwal_1)=np__1|k2_lattices(k5_latwal_1,k4_lattices(k5_latwal_1,np__2,k3_lattices(k5_latwal_1,np__1,esk4_1(k5_latwal_1))),np__1)!=np__1), 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_258, c_0_259]), c_0_259]), c_0_171]), c_0_260]), c_0_259]), c_0_259])).
cnf(c_0_266, 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_261, c_0_84])]), c_0_168])])).
cnf(c_0_267, plain, (k2_lattices(k5_latwal_1,np__2,np__1)=np__1), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_230, c_0_84]), c_0_262])).
cnf(c_0_268, 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_263])])).
cnf(c_0_269, plain, (k1_lattices(k5_latwal_1,X1,np__1)=k3_lattices(k5_latwal_1,X1,np__1)|~m1_subset_1(X1,u1_struct_0(k5_latwal_1))|~l2_lattices(k5_latwal_1)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83, c_0_168]), c_0_85])]), c_0_86])).
cnf(c_0_270, plain, (k1_lattices(X1,esk2_1(X1),esk3_1(X1))=k3_lattices(X1,esk2_1(X1),esk3_1(X1))|v2_struct_0(X1)|v1_latwal_1(X1)|~v4_lattices(X1)|~l3_lattices(X1)), inference(spm,[status(thm)],[c_0_185, c_0_91])).
cnf(c_0_271, plain, (k3_lattices(X1,X2,esk3_1(X1))=k3_lattices(X1,esk3_1(X1),X2)|v2_struct_0(X1)|v1_latwal_1(X1)|~m1_subset_1(X2,u1_struct_0(X1))|~v4_lattices(X1)|~l3_lattices(X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_87, c_0_81]), c_0_89])).
cnf(c_0_272, plain, (k2_lattices(k5_latwal_1,X1,k3_lattices(k5_latwal_1,np__1,esk2_1(k5_latwal_1)))=k4_lattices(k5_latwal_1,X1,k3_lattices(k5_latwal_1,np__1,esk2_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_93, c_0_264]), c_0_94])]), c_0_86])).
cnf(c_0_273, plain, (esk4_1(k5_latwal_1)=np__1|esk4_1(k5_latwal_1)=k5_ordinal1|esk2_1(k5_latwal_1)=np__1|esk2_1(k5_latwal_1)=k5_ordinal1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_265, c_0_156]), c_0_266]), c_0_149]), c_0_267])])).
cnf(c_0_274, 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_268, c_0_141])]), c_0_168])])).
cnf(c_0_275, plain, (k2_lattices(k5_latwal_1,np__1,np__1)=np__1), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_230, c_0_168]), c_0_251])).
cnf(c_0_276, plain, (k1_lattices(k5_latwal_1,X1,np__1)=k3_lattices(k5_latwal_1,X1,np__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_269, c_0_89]), c_0_54])])).
cnf(c_0_277, plain, (k1_lattices(k5_latwal_1,np__1,np__1)=np__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_120, c_0_168]), c_0_121]), c_0_122]), c_0_94]), c_0_54])]), c_0_86])).
cnf(c_0_278, plain, (esk4_1(k5_latwal_1)=k5_ordinal1|esk4_1(k5_latwal_1)=np__1|k2_lattices(k5_latwal_1,k2_lattices(k5_latwal_1,k3_lattices(k5_latwal_1,np__2,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))!=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(spm,[status(thm)],[c_0_200, c_0_270]), c_0_85]), c_0_54])]), c_0_86]), c_0_104])).
cnf(c_0_279, plain, (k3_lattices(X1,esk2_1(X1),esk3_1(X1))=k3_lattices(X1,esk3_1(X1),esk2_1(X1))|v2_struct_0(X1)|v1_latwal_1(X1)|~v4_lattices(X1)|~l3_lattices(X1)), inference(spm,[status(thm)],[c_0_271, c_0_91])).
cnf(c_0_280, plain, (k2_lattices(k5_latwal_1,X1,k3_lattices(k5_latwal_1,np__1,esk2_1(k5_latwal_1)))=k4_lattices(k5_latwal_1,X1,k3_lattices(k5_latwal_1,np__1,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_272, c_0_108]), c_0_54])])).
cnf(c_0_281, plain, (esk4_1(k5_latwal_1)=np__1|esk2_1(k5_latwal_1)=np__1|esk2_1(k5_latwal_1)=k5_ordinal1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_265, c_0_273]), c_0_274]), c_0_262]), c_0_275])])).
cnf(c_0_282, plain, (k3_lattices(k5_latwal_1,np__1,np__1)=np__1), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_276, c_0_168]), c_0_277])).
cnf(c_0_283, plain, (k3_lattices(k5_latwal_1,esk4_1(k5_latwal_1),np__1)=k3_lattices(k5_latwal_1,np__1,esk4_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(spm,[status(thm)],[c_0_103, c_0_168]), c_0_85]), c_0_54])]), c_0_86]), c_0_104])).
cnf(c_0_284, plain, (k2_lattices(k5_latwal_1,k3_lattices(k5_latwal_1,np__1,esk4_1(k5_latwal_1)),np__1)=k4_lattices(k5_latwal_1,k3_lattices(k5_latwal_1,np__1,esk4_1(k5_latwal_1)),np__1)), inference(spm,[status(thm)],[c_0_230, c_0_245])).
cnf(c_0_285, plain, (k4_lattices(k5_latwal_1,k3_lattices(k5_latwal_1,np__1,esk4_1(k5_latwal_1)),np__1)=k4_lattices(k5_latwal_1,np__1,k3_lattices(k5_latwal_1,np__1,esk4_1(k5_latwal_1)))), inference(spm,[status(thm)],[c_0_231, c_0_245])).
cnf(c_0_286, plain, (esk4_1(k5_latwal_1)=np__1|esk4_1(k5_latwal_1)=k5_ordinal1|k2_lattices(k5_latwal_1,k2_lattices(k5_latwal_1,k3_lattices(k5_latwal_1,np__2,esk3_1(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(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_278, c_0_279]), c_0_85]), c_0_54])]), c_0_86]), c_0_104])).
cnf(c_0_287, plain, (k2_lattices(k5_latwal_1,np__2,k3_lattices(k5_latwal_1,np__1,esk2_1(k5_latwal_1)))=k4_lattices(k5_latwal_1,np__2,k3_lattices(k5_latwal_1,np__1,esk2_1(k5_latwal_1)))), inference(spm,[status(thm)],[c_0_280, c_0_84])).
cnf(c_0_288, plain, (esk2_1(k5_latwal_1)=np__1|esk2_1(k5_latwal_1)=k5_ordinal1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_265, c_0_281]), c_0_282]), c_0_262]), c_0_275])])).
cnf(c_0_289, plain, (k1_lattices(k5_latwal_1,esk4_1(k5_latwal_1),np__1)=k3_lattices(k5_latwal_1,np__1,esk4_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_276, c_0_88]), c_0_54])]), c_0_86]), c_0_104]), c_0_283])).
cnf(c_0_290, plain, (k1_lattices(k5_latwal_1,k5_ordinal1,np__1)=np__1), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_276, c_0_141]), c_0_222])).
cnf(c_0_291, plain, (k2_lattices(k5_latwal_1,k3_lattices(k5_latwal_1,np__1,esk4_1(k5_latwal_1)),np__1)=k4_lattices(k5_latwal_1,np__1,k3_lattices(k5_latwal_1,np__1,esk4_1(k5_latwal_1)))), inference(rw,[status(thm)],[c_0_284, c_0_285])).
cnf(c_0_292, plain, (esk4_1(k5_latwal_1)=k5_ordinal1|esk4_1(k5_latwal_1)=np__1|k2_lattices(k5_latwal_1,k4_lattices(k5_latwal_1,np__2,k3_lattices(k5_latwal_1,np__1,esk2_1(k5_latwal_1))),np__1)!=np__1), 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_286, c_0_259]), c_0_171]), c_0_259]), c_0_287]), c_0_259]), c_0_259])).
cnf(c_0_293, plain, (esk2_1(k5_latwal_1)=np__1|k2_lattices(k5_latwal_1,k4_lattices(k5_latwal_1,np__1,k3_lattices(k5_latwal_1,np__1,esk4_1(k5_latwal_1))),np__1)!=np__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(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_130, c_0_288]), c_0_259]), c_0_289]), c_0_259]), c_0_290]), c_0_291]), c_0_259]), c_0_259]), c_0_54])]), c_0_86]), c_0_104])).
cnf(c_0_294, plain, (esk2_1(k5_latwal_1)=np__1|esk4_1(k5_latwal_1)=np__1|esk4_1(k5_latwal_1)=k5_ordinal1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_292, c_0_288]), c_0_274]), c_0_262]), c_0_275])])).
cnf(c_0_295, plain, (esk4_1(k5_latwal_1)=np__1|esk2_1(k5_latwal_1)=np__1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_293, c_0_294]), c_0_274]), c_0_251]), c_0_275])])).
cnf(c_0_296, plain, (esk2_1(k5_latwal_1)=np__1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_293, c_0_295]), c_0_282]), c_0_251]), c_0_275])])).
cnf(c_0_297, plain, (esk4_1(k5_latwal_1)=np__1|esk4_1(k5_latwal_1)=k5_ordinal1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_292, c_0_296]), c_0_282]), c_0_262]), c_0_275])])).
cnf(c_0_298, plain, (esk4_1(k5_latwal_1)=np__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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_130, c_0_297]), c_0_259]), c_0_290]), c_0_296]), c_0_259]), c_0_277]), c_0_275]), c_0_259]), c_0_275]), c_0_259]), c_0_54])]), c_0_86]), c_0_104])).
cnf(c_0_299, plain, ($false), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_130, c_0_298]), c_0_259]), c_0_277]), c_0_296]), c_0_259]), c_0_277]), c_0_275]), c_0_259]), c_0_275]), c_0_259]), c_0_54])]), c_0_86]), c_0_104]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 300
# Proof object clause steps            : 229
# Proof object formula steps           : 71
# Proof object conjectures             : 3
# Proof object clause conjectures      : 1
# Proof object formula conjectures     : 2
# Proof object initial clauses used    : 49
# Proof object initial formulas used   : 33
# Proof object generating inferences   : 146
# Proof object simplifying inferences  : 503
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 34
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 61
# Removed in clause preprocessing      : 0
# Initial clauses in saturation        : 61
# Processed clauses                    : 3997
# ...of these trivial                  : 188
# ...subsumed                          : 676
# ...remaining for further processing  : 3133
# Other redundant clauses eliminated   : 111
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 473
# Backward-rewritten                   : 2162
# Generated clauses                    : 194542
# ...of the previous two non-trivial   : 164429
# Contextual simplify-reflections      : 66
# Paramodulations                      : 194341
# Factorizations                       : 101
# NegExts                              : 0
# Equation resolutions                 : 114
# 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  : 423
#    Positive orientable unit clauses  : 79
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 4
#    Non-unit-clauses                  : 340
# Current number of unprocessed clauses: 160206
# ...number of literals in the above   : 184596
# Current number of archived formulas  : 0
# Current number of archived clauses   : 2695
# Clause-clause subsumption calls (NU) : 118359
# Rec. Clause-clause subsumption calls : 77860
# Non-unit clause-clause subsumptions  : 811
# Unit Clause-clause subsumption calls : 18674
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 35935
# BW rewrite match successes           : 176
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 5832109

# -------------------------------------------------
# User time                : 1.606 s
# System time              : 0.104 s
# Total time               : 1.710 s
# Maximum resident set size: 3456 pages
