# No SInE strategy applied
# Trying AutoSched0 for 161 seconds
# AutoSched0-Mode selected heuristic G_E___208_C18AMC_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
# and selection function SelectComplexExceptUniqMaxHorn.
#
# Preprocessing time       : 0.022 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(free_g3_lattices, axiom, ![X1, X2, X3]:((((((v1_funct_1(X2)&v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1))&m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X1,X1),X1))))&v1_funct_1(X3))&v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1))&m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X1,X1),X1))))=>![X4, X5, X6]:(g3_lattices(X1,X2,X3)=g3_lattices(X4,X5,X6)=>((X1=X4&X2=X5)&X3=X6))), file('latwal_2/latwal_2__l74_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__l74_latwal_2', dt_g3_lattices)).
fof(dt_k10_latwal_2, axiom, ((v1_funct_1(k10_latwal_2)&v1_funct_2(k10_latwal_2,k2_zfmisc_1(k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4),k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4)),k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4)))&m1_subset_1(k10_latwal_2,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4),k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4)),k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))))), file('latwal_2/latwal_2__l74_latwal_2', dt_k10_latwal_2)).
fof(dt_k11_latwal_2, axiom, ((v1_funct_1(k11_latwal_2)&v1_funct_2(k11_latwal_2,k2_zfmisc_1(k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4),k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4)),k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4)))&m1_subset_1(k11_latwal_2,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4),k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4)),k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))))), file('latwal_2/latwal_2__l74_latwal_2', dt_k11_latwal_2)).
fof(d16_latwal_2, axiom, k12_latwal_2=g3_lattices(k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4),k10_latwal_2,k11_latwal_2), file('latwal_2/latwal_2__l74_latwal_2', d16_latwal_2)).
fof(abstractness_v3_lattices, axiom, ![X1]:(l3_lattices(X1)=>(v3_lattices(X1)=>X1=g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)))), file('latwal_2/latwal_2__l74_latwal_2', abstractness_v3_lattices)).
fof(dt_k12_latwal_2, axiom, (~(v2_struct_0(k12_latwal_2))&l3_lattices(k12_latwal_2)), file('latwal_2/latwal_2__l74_latwal_2', dt_k12_latwal_2)).
fof(d8_lattices, axiom, ![X1]:((~(v2_struct_0(X1))&l3_lattices(X1))=>(v8_lattices(X1)<=>![X2]:(m1_subset_1(X2,u1_struct_0(X1))=>![X3]:(m1_subset_1(X3,u1_struct_0(X1))=>k1_lattices(X1,k2_lattices(X1,X2,X3),X3)=X3)))), file('latwal_2/latwal_2__l74_latwal_2', d8_lattices)).
fof(d2_lattices, axiom, ![X1]:((~(v2_struct_0(X1))&l1_lattices(X1))=>![X2]:(m1_subset_1(X2,u1_struct_0(X1))=>![X3]:(m1_subset_1(X3,u1_struct_0(X1))=>k2_lattices(X1,X2,X3)=k4_binop_1(u1_struct_0(X1),u1_lattices(X1),X2,X3)))), file('latwal_2/latwal_2__l74_latwal_2', d2_lattices)).
fof(l74_latwal_2, conjecture, v8_lattices(k12_latwal_2), file('latwal_2/latwal_2__l74_latwal_2', l74_latwal_2)).
fof(d15_latwal_2, axiom, ![X1]:(((v1_funct_1(X1)&v1_funct_2(X1,k2_zfmisc_1(k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4),k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4)),k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4)))&m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4),k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4)),k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4)))))=>(X1=k11_latwal_2<=>![X2]:(m1_subset_1(X2,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))=>![X3]:(m1_subset_1(X3,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))=>k4_binop_1(k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4),X1,X2,X3)=k9_latwal_2(X2,X3))))), file('latwal_2/latwal_2__l74_latwal_2', d15_latwal_2)).
fof(d13_latwal_2, axiom, ![X1]:(m1_subset_1(X1,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))=>![X2]:(m1_subset_1(X2,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))=>((((X1=np__1&X2=np__3)|(X1=np__3&X2=np__1))=>k9_latwal_2(X1,X2)=np__3)&~(((~((X1=np__1&X2=np__3))&~((X1=np__3&X2=np__1)))&k9_latwal_2(X1,X2)!=k3_xxreal_0(X1,X2)))))), file('latwal_2/latwal_2__l74_latwal_2', d13_latwal_2)).
fof(cc2_xxreal_0, axiom, ![X1]:(v7_ordinal1(X1)=>v1_xxreal_0(X1)), file('latwal_2/latwal_2__l74_latwal_2', cc2_xxreal_0)).
fof(cc3_latwal_2, axiom, ![X1]:(m1_subset_1(X1,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))=>v7_ordinal1(X1)), file('latwal_2/latwal_2__l74_latwal_2', cc3_latwal_2)).
fof(d1_lattices, axiom, ![X1]:((~(v2_struct_0(X1))&l2_lattices(X1))=>![X2]:(m1_subset_1(X2,u1_struct_0(X1))=>![X3]:(m1_subset_1(X3,u1_struct_0(X1))=>k1_lattices(X1,X2,X3)=k4_binop_1(u1_struct_0(X1),u2_lattices(X1),X2,X3)))), file('latwal_2/latwal_2__l74_latwal_2', d1_lattices)).
fof(t15_xxreal_0, axiom, ![X1]:(v1_xxreal_0(X1)=>![X2]:(v1_xxreal_0(X2)=>(k3_xxreal_0(X1,X2)=X1|k3_xxreal_0(X1,X2)=X2))), file('latwal_2/latwal_2__l74_latwal_2', t15_xxreal_0)).
fof(dt_l3_lattices, axiom, ![X1]:(l3_lattices(X1)=>(l1_lattices(X1)&l2_lattices(X1))), file('latwal_2/latwal_2__l74_latwal_2', dt_l3_lattices)).
fof(d14_latwal_2, axiom, ![X1]:(((v1_funct_1(X1)&v1_funct_2(X1,k2_zfmisc_1(k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4),k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4)),k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4)))&m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4),k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4)),k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4)))))=>(X1=k10_latwal_2<=>![X2]:(m1_subset_1(X2,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))=>![X3]:(m1_subset_1(X3,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))=>k4_binop_1(k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4),X1,X2,X3)=k8_latwal_2(X2,X3))))), file('latwal_2/latwal_2__l74_latwal_2', d14_latwal_2)).
fof(d12_latwal_2, axiom, ![X1]:(m1_subset_1(X1,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))=>![X2]:(m1_subset_1(X2,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))=>((((X1=np__1&X2=np__3)|(X1=np__3&X2=np__1))=>k8_latwal_2(X1,X2)=np__1)&~(((~((X1=np__1&X2=np__3))&~((X1=np__3&X2=np__1)))&k8_latwal_2(X1,X2)!=k4_xxreal_0(X1,X2)))))), file('latwal_2/latwal_2__l74_latwal_2', d12_latwal_2)).
fof(d10_xxreal_0, axiom, ![X1]:(v1_xxreal_0(X1)=>![X2]:(v1_xxreal_0(X2)=>((r1_xxreal_0(X2,X1)=>k4_xxreal_0(X1,X2)=X1)&(~(r1_xxreal_0(X2,X1))=>k4_xxreal_0(X1,X2)=X2)))), file('latwal_2/latwal_2__l74_latwal_2', d10_xxreal_0)).
fof(t17_xxreal_0, axiom, ![X1]:(v1_xxreal_0(X1)=>![X2]:(v1_xxreal_0(X2)=>r1_xxreal_0(k3_xxreal_0(X1,X2),X1))), file('latwal_2/latwal_2__l74_latwal_2', t17_xxreal_0)).
fof(commutativity_k3_xxreal_0, axiom, ![X1, X2]:((v1_xxreal_0(X1)&v1_xxreal_0(X2))=>k3_xxreal_0(X1,X2)=k3_xxreal_0(X2,X1)), file('latwal_2/latwal_2__l74_latwal_2', commutativity_k3_xxreal_0)).
fof(cc8_ordinal1, axiom, ![X1]:(m1_subset_1(X1,k4_ordinal1)=>v7_ordinal1(X1)), file('latwal_2/latwal_2__l74_latwal_2', cc8_ordinal1)).
fof(commutativity_k4_xxreal_0, axiom, ![X1, X2]:((v1_xxreal_0(X1)&v1_xxreal_0(X2))=>k4_xxreal_0(X1,X2)=k4_xxreal_0(X2,X1)), file('latwal_2/latwal_2__l74_latwal_2', commutativity_k4_xxreal_0)).
fof(spc3_numerals, axiom, (v2_xxreal_0(np__3)&m1_subset_1(np__3,k4_ordinal1)), file('latwal_2/latwal_2__l74_latwal_2', spc3_numerals)).
fof(rqLessOrEqual__r1_xxreal_0__r3_r1, axiom, ~(r1_xxreal_0(np__3,np__1)), file('latwal_2/latwal_2__l74_latwal_2', rqLessOrEqual__r1_xxreal_0__r3_r1)).
fof(c_0_26, plain, ![X89, X90, X91, X92, X93, X94]:(((X89=X92|g3_lattices(X89,X90,X91)!=g3_lattices(X92,X93,X94)|(~v1_funct_1(X90)|~v1_funct_2(X90,k2_zfmisc_1(X89,X89),X89)|~m1_subset_1(X90,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X89,X89),X89)))|~v1_funct_1(X91)|~v1_funct_2(X91,k2_zfmisc_1(X89,X89),X89)|~m1_subset_1(X91,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X89,X89),X89)))))&(X90=X93|g3_lattices(X89,X90,X91)!=g3_lattices(X92,X93,X94)|(~v1_funct_1(X90)|~v1_funct_2(X90,k2_zfmisc_1(X89,X89),X89)|~m1_subset_1(X90,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X89,X89),X89)))|~v1_funct_1(X91)|~v1_funct_2(X91,k2_zfmisc_1(X89,X89),X89)|~m1_subset_1(X91,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X89,X89),X89))))))&(X91=X94|g3_lattices(X89,X90,X91)!=g3_lattices(X92,X93,X94)|(~v1_funct_1(X90)|~v1_funct_2(X90,k2_zfmisc_1(X89,X89),X89)|~m1_subset_1(X90,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X89,X89),X89)))|~v1_funct_1(X91)|~v1_funct_2(X91,k2_zfmisc_1(X89,X89),X89)|~m1_subset_1(X91,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X89,X89),X89)))))), 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_27, plain, ![X85, X86, X87]:((v3_lattices(g3_lattices(X85,X86,X87))|(~v1_funct_1(X86)|~v1_funct_2(X86,k2_zfmisc_1(X85,X85),X85)|~m1_subset_1(X86,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X85,X85),X85)))|~v1_funct_1(X87)|~v1_funct_2(X87,k2_zfmisc_1(X85,X85),X85)|~m1_subset_1(X87,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X85,X85),X85)))))&(l3_lattices(g3_lattices(X85,X86,X87))|(~v1_funct_1(X86)|~v1_funct_2(X86,k2_zfmisc_1(X85,X85),X85)|~m1_subset_1(X86,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X85,X85),X85)))|~v1_funct_1(X87)|~v1_funct_2(X87,k2_zfmisc_1(X85,X85),X85)|~m1_subset_1(X87,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X85,X85),X85)))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_g3_lattices])])])).
cnf(c_0_28, plain, (X1=X2|g3_lattices(X3,X4,X1)!=g3_lattices(X5,X6,X2)|~v1_funct_1(X4)|~v1_funct_2(X4,k2_zfmisc_1(X3,X3),X3)|~m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X3,X3),X3)))|~v1_funct_1(X1)|~v1_funct_2(X1,k2_zfmisc_1(X3,X3),X3)|~m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X3,X3),X3)))), inference(split_conjunct,[status(thm)],[c_0_26])).
cnf(c_0_29, plain, (m1_subset_1(k10_latwal_2,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4),k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4)),k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))))), inference(split_conjunct,[status(thm)],[dt_k10_latwal_2])).
cnf(c_0_30, plain, (v1_funct_2(k10_latwal_2,k2_zfmisc_1(k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4),k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4)),k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))), inference(split_conjunct,[status(thm)],[dt_k10_latwal_2])).
cnf(c_0_31, plain, (v1_funct_1(k10_latwal_2)), inference(split_conjunct,[status(thm)],[dt_k10_latwal_2])).
cnf(c_0_32, plain, (v3_lattices(g3_lattices(X1,X2,X3))|~v1_funct_1(X2)|~v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)|~m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X1,X1),X1)))|~v1_funct_1(X3)|~v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)|~m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X1,X1),X1)))), inference(split_conjunct,[status(thm)],[c_0_27])).
cnf(c_0_33, plain, (m1_subset_1(k11_latwal_2,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4),k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4)),k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))))), inference(split_conjunct,[status(thm)],[dt_k11_latwal_2])).
cnf(c_0_34, plain, (v1_funct_2(k11_latwal_2,k2_zfmisc_1(k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4),k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4)),k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))), inference(split_conjunct,[status(thm)],[dt_k11_latwal_2])).
cnf(c_0_35, plain, (v1_funct_1(k11_latwal_2)), inference(split_conjunct,[status(thm)],[dt_k11_latwal_2])).
cnf(c_0_36, plain, (X1=X2|g3_lattices(k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4),k10_latwal_2,X1)!=g3_lattices(X3,X4,X2)|~v1_funct_2(X1,k2_zfmisc_1(k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4),k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4)),k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))|~v1_funct_1(X1)|~m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4),k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4)),k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28, c_0_29]), c_0_30]), c_0_31])])).
cnf(c_0_37, plain, (k12_latwal_2=g3_lattices(k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4),k10_latwal_2,k11_latwal_2)), inference(split_conjunct,[status(thm)],[d16_latwal_2])).
fof(c_0_38, plain, ![X50]:(~l3_lattices(X50)|(~v3_lattices(X50)|X50=g3_lattices(u1_struct_0(X50),u2_lattices(X50),u1_lattices(X50)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[abstractness_v3_lattices])])).
cnf(c_0_39, plain, (v3_lattices(g3_lattices(k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4),X1,k11_latwal_2))|~v1_funct_2(X1,k2_zfmisc_1(k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4),k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4)),k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))|~v1_funct_1(X1)|~m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4),k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4)),k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32, c_0_33]), c_0_34]), c_0_35])])).
fof(c_0_40, plain, (~v2_struct_0(k12_latwal_2)&l3_lattices(k12_latwal_2)), inference(fof_simplification,[status(thm)],[dt_k12_latwal_2])).
fof(c_0_41, plain, ![X1]:((~v2_struct_0(X1)&l3_lattices(X1))=>(v8_lattices(X1)<=>![X2]:(m1_subset_1(X2,u1_struct_0(X1))=>![X3]:(m1_subset_1(X3,u1_struct_0(X1))=>k1_lattices(X1,k2_lattices(X1,X2,X3),X3)=X3)))), inference(fof_simplification,[status(thm)],[d8_lattices])).
cnf(c_0_42, plain, (X1=X2|g3_lattices(X3,X1,X4)!=g3_lattices(X5,X2,X6)|~v1_funct_1(X1)|~v1_funct_2(X1,k2_zfmisc_1(X3,X3),X3)|~m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X3,X3),X3)))|~v1_funct_1(X4)|~v1_funct_2(X4,k2_zfmisc_1(X3,X3),X3)|~m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X3,X3),X3)))), inference(split_conjunct,[status(thm)],[c_0_26])).
cnf(c_0_43, plain, (k11_latwal_2=X1|g3_lattices(X2,X3,X1)!=k12_latwal_2), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36, c_0_33]), c_0_37]), c_0_34]), c_0_35])])).
cnf(c_0_44, 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_38])).
cnf(c_0_45, plain, (v3_lattices(k12_latwal_2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39, c_0_29]), c_0_37]), c_0_30]), c_0_31])])).
cnf(c_0_46, plain, (l3_lattices(k12_latwal_2)), inference(split_conjunct,[status(thm)],[c_0_40])).
fof(c_0_47, plain, ![X1]:((~v2_struct_0(X1)&l1_lattices(X1))=>![X2]:(m1_subset_1(X2,u1_struct_0(X1))=>![X3]:(m1_subset_1(X3,u1_struct_0(X1))=>k2_lattices(X1,X2,X3)=k4_binop_1(u1_struct_0(X1),u1_lattices(X1),X2,X3)))), inference(fof_simplification,[status(thm)],[d2_lattices])).
fof(c_0_48, plain, ![X80, X81, X82]:((~v8_lattices(X80)|(~m1_subset_1(X81,u1_struct_0(X80))|(~m1_subset_1(X82,u1_struct_0(X80))|k1_lattices(X80,k2_lattices(X80,X81,X82),X82)=X82))|(v2_struct_0(X80)|~l3_lattices(X80)))&((m1_subset_1(esk5_1(X80),u1_struct_0(X80))|v8_lattices(X80)|(v2_struct_0(X80)|~l3_lattices(X80)))&((m1_subset_1(esk6_1(X80),u1_struct_0(X80))|v8_lattices(X80)|(v2_struct_0(X80)|~l3_lattices(X80)))&(k1_lattices(X80,k2_lattices(X80,esk5_1(X80),esk6_1(X80)),esk6_1(X80))!=esk6_1(X80)|v8_lattices(X80)|(v2_struct_0(X80)|~l3_lattices(X80)))))), 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_41])])])])])).
fof(c_0_49, negated_conjecture, ~v8_lattices(k12_latwal_2), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[l74_latwal_2])])).
cnf(c_0_50, plain, (X1=X2|g3_lattices(k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4),X1,k11_latwal_2)!=g3_lattices(X3,X2,X4)|~v1_funct_2(X1,k2_zfmisc_1(k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4),k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4)),k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))|~v1_funct_1(X1)|~m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4),k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4)),k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42, c_0_33]), c_0_34]), c_0_35])])).
cnf(c_0_51, plain, (u1_lattices(k12_latwal_2)=k11_latwal_2), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_43, c_0_44])]), c_0_45]), c_0_46])])).
fof(c_0_52, plain, ![X77, X78, X79]:(v2_struct_0(X77)|~l1_lattices(X77)|(~m1_subset_1(X78,u1_struct_0(X77))|(~m1_subset_1(X79,u1_struct_0(X77))|k2_lattices(X77,X78,X79)=k4_binop_1(u1_struct_0(X77),u1_lattices(X77),X78,X79)))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_47])])])).
cnf(c_0_53, plain, (m1_subset_1(esk6_1(X1),u1_struct_0(X1))|v8_lattices(X1)|v2_struct_0(X1)|~l3_lattices(X1)), inference(split_conjunct,[status(thm)],[c_0_48])).
cnf(c_0_54, plain, (~v2_struct_0(k12_latwal_2)), inference(split_conjunct,[status(thm)],[c_0_40])).
cnf(c_0_55, negated_conjecture, (~v8_lattices(k12_latwal_2)), inference(split_conjunct,[status(thm)],[c_0_49])).
cnf(c_0_56, 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_26])).
cnf(c_0_57, plain, (k10_latwal_2=X1|g3_lattices(X2,X1,X3)!=k12_latwal_2), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50, c_0_29]), c_0_37]), c_0_30]), c_0_31])])).
cnf(c_0_58, plain, (g3_lattices(u1_struct_0(k12_latwal_2),u2_lattices(k12_latwal_2),k11_latwal_2)=k12_latwal_2), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44, c_0_51]), c_0_45]), c_0_46])])).
cnf(c_0_59, plain, (v2_struct_0(X1)|k2_lattices(X1,X2,X3)=k4_binop_1(u1_struct_0(X1),u1_lattices(X1),X2,X3)|~l1_lattices(X1)|~m1_subset_1(X2,u1_struct_0(X1))|~m1_subset_1(X3,u1_struct_0(X1))), inference(split_conjunct,[status(thm)],[c_0_52])).
cnf(c_0_60, plain, (m1_subset_1(esk6_1(k12_latwal_2),u1_struct_0(k12_latwal_2))), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_53, c_0_46]), c_0_54]), c_0_55])).
cnf(c_0_61, plain, (k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4)=X1|g3_lattices(k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4),X2,k11_latwal_2)!=g3_lattices(X1,X3,X4)|~v1_funct_2(X2,k2_zfmisc_1(k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4),k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4)),k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))|~v1_funct_1(X2)|~m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4),k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4)),k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56, c_0_33]), c_0_34]), c_0_35])])).
cnf(c_0_62, plain, (u2_lattices(k12_latwal_2)=k10_latwal_2), inference(spm,[status(thm)],[c_0_57, c_0_58])).
fof(c_0_63, plain, ![X69, X70, X71]:((X69!=k11_latwal_2|(~m1_subset_1(X70,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))|(~m1_subset_1(X71,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))|k4_binop_1(k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4),X69,X70,X71)=k9_latwal_2(X70,X71)))|(~v1_funct_1(X69)|~v1_funct_2(X69,k2_zfmisc_1(k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4),k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4)),k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))|~m1_subset_1(X69,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4),k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4)),k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))))))&((m1_subset_1(esk3_1(X69),k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))|X69=k11_latwal_2|(~v1_funct_1(X69)|~v1_funct_2(X69,k2_zfmisc_1(k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4),k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4)),k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))|~m1_subset_1(X69,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4),k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4)),k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))))))&((m1_subset_1(esk4_1(X69),k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))|X69=k11_latwal_2|(~v1_funct_1(X69)|~v1_funct_2(X69,k2_zfmisc_1(k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4),k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4)),k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))|~m1_subset_1(X69,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4),k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4)),k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))))))&(k4_binop_1(k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4),X69,esk3_1(X69),esk4_1(X69))!=k9_latwal_2(esk3_1(X69),esk4_1(X69))|X69=k11_latwal_2|(~v1_funct_1(X69)|~v1_funct_2(X69,k2_zfmisc_1(k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4),k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4)),k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))|~m1_subset_1(X69,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4),k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4)),k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))))))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d15_latwal_2])])])])])).
cnf(c_0_64, plain, (k4_binop_1(u1_struct_0(k12_latwal_2),u1_lattices(k12_latwal_2),X1,esk6_1(k12_latwal_2))=k2_lattices(k12_latwal_2,X1,esk6_1(k12_latwal_2))|~l1_lattices(k12_latwal_2)|~m1_subset_1(X1,u1_struct_0(k12_latwal_2))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_59, c_0_60]), c_0_54])).
cnf(c_0_65, plain, (k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4)=X1|g3_lattices(X1,X2,X3)!=k12_latwal_2), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61, c_0_29]), c_0_37]), c_0_30]), c_0_31])])).
cnf(c_0_66, plain, (g3_lattices(u1_struct_0(k12_latwal_2),k10_latwal_2,k11_latwal_2)=k12_latwal_2), inference(rw,[status(thm)],[c_0_58, c_0_62])).
cnf(c_0_67, plain, (m1_subset_1(esk5_1(X1),u1_struct_0(X1))|v8_lattices(X1)|v2_struct_0(X1)|~l3_lattices(X1)), inference(split_conjunct,[status(thm)],[c_0_48])).
cnf(c_0_68, plain, (k4_binop_1(k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4),X1,X2,X3)=k9_latwal_2(X2,X3)|X1!=k11_latwal_2|~m1_subset_1(X2,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))|~m1_subset_1(X3,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))|~v1_funct_1(X1)|~v1_funct_2(X1,k2_zfmisc_1(k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4),k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4)),k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))|~m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4),k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4)),k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))))), inference(split_conjunct,[status(thm)],[c_0_63])).
cnf(c_0_69, plain, (k4_binop_1(u1_struct_0(k12_latwal_2),k11_latwal_2,X1,esk6_1(k12_latwal_2))=k2_lattices(k12_latwal_2,X1,esk6_1(k12_latwal_2))|~l1_lattices(k12_latwal_2)|~m1_subset_1(X1,u1_struct_0(k12_latwal_2))), inference(rw,[status(thm)],[c_0_64, c_0_51])).
cnf(c_0_70, plain, (u1_struct_0(k12_latwal_2)=k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4)), inference(spm,[status(thm)],[c_0_65, c_0_66])).
fof(c_0_71, plain, ![X62, X63]:(((X62!=np__1|X63!=np__3|k9_latwal_2(X62,X63)=np__3|~m1_subset_1(X63,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))|~m1_subset_1(X62,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4)))&(X62!=np__3|X63!=np__1|k9_latwal_2(X62,X63)=np__3|~m1_subset_1(X63,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))|~m1_subset_1(X62,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))))&(((X62=np__3|X62=np__1|k9_latwal_2(X62,X63)=k3_xxreal_0(X62,X63)|~m1_subset_1(X63,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))|~m1_subset_1(X62,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4)))&(X63=np__1|X62=np__1|k9_latwal_2(X62,X63)=k3_xxreal_0(X62,X63)|~m1_subset_1(X63,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))|~m1_subset_1(X62,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))))&((X62=np__3|X63=np__3|k9_latwal_2(X62,X63)=k3_xxreal_0(X62,X63)|~m1_subset_1(X63,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))|~m1_subset_1(X62,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4)))&(X63=np__1|X63=np__3|k9_latwal_2(X62,X63)=k3_xxreal_0(X62,X63)|~m1_subset_1(X63,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))|~m1_subset_1(X62,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4)))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d13_latwal_2])])])])).
cnf(c_0_72, plain, (m1_subset_1(esk5_1(k12_latwal_2),u1_struct_0(k12_latwal_2))), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67, c_0_46]), c_0_54]), c_0_55])).
fof(c_0_73, plain, ![X51]:(~v7_ordinal1(X51)|v1_xxreal_0(X51)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc2_xxreal_0])])).
fof(c_0_74, plain, ![X52]:(~m1_subset_1(X52,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))|v7_ordinal1(X52)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc3_latwal_2])])).
fof(c_0_75, plain, ![X1]:((~v2_struct_0(X1)&l2_lattices(X1))=>![X2]:(m1_subset_1(X2,u1_struct_0(X1))=>![X3]:(m1_subset_1(X3,u1_struct_0(X1))=>k1_lattices(X1,X2,X3)=k4_binop_1(u1_struct_0(X1),u2_lattices(X1),X2,X3)))), inference(fof_simplification,[status(thm)],[d1_lattices])).
cnf(c_0_76, plain, (k4_binop_1(k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4),k11_latwal_2,X1,X2)=k9_latwal_2(X1,X2)|~m1_subset_1(X2,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))|~m1_subset_1(X1,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_68]), c_0_34]), c_0_35]), c_0_33])])).
cnf(c_0_77, plain, (k4_binop_1(k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4),k11_latwal_2,X1,esk6_1(k12_latwal_2))=k2_lattices(k12_latwal_2,X1,esk6_1(k12_latwal_2))|~l1_lattices(k12_latwal_2)|~m1_subset_1(X1,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_69, c_0_70]), c_0_70])).
cnf(c_0_78, plain, (m1_subset_1(esk6_1(k12_latwal_2),k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))), inference(rw,[status(thm)],[c_0_60, c_0_70])).
cnf(c_0_79, plain, (X1=np__1|X1=np__3|k9_latwal_2(X2,X1)=k3_xxreal_0(X2,X1)|~m1_subset_1(X1,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))|~m1_subset_1(X2,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))), inference(split_conjunct,[status(thm)],[c_0_71])).
cnf(c_0_80, plain, (m1_subset_1(esk5_1(k12_latwal_2),k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))), inference(rw,[status(thm)],[c_0_72, c_0_70])).
cnf(c_0_81, plain, (v1_xxreal_0(X1)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_73])).
cnf(c_0_82, plain, (v7_ordinal1(X1)|~m1_subset_1(X1,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))), inference(split_conjunct,[status(thm)],[c_0_74])).
fof(c_0_83, plain, ![X74, X75, X76]:(v2_struct_0(X74)|~l2_lattices(X74)|(~m1_subset_1(X75,u1_struct_0(X74))|(~m1_subset_1(X76,u1_struct_0(X74))|k1_lattices(X74,X75,X76)=k4_binop_1(u1_struct_0(X74),u2_lattices(X74),X75,X76)))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_75])])])).
cnf(c_0_84, plain, (X1=np__3|X2=np__3|k9_latwal_2(X1,X2)=k3_xxreal_0(X1,X2)|~m1_subset_1(X2,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))|~m1_subset_1(X1,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))), inference(split_conjunct,[status(thm)],[c_0_71])).
cnf(c_0_85, plain, (v8_lattices(X1)|v2_struct_0(X1)|k1_lattices(X1,k2_lattices(X1,esk5_1(X1),esk6_1(X1)),esk6_1(X1))!=esk6_1(X1)|~l3_lattices(X1)), inference(split_conjunct,[status(thm)],[c_0_48])).
cnf(c_0_86, plain, (k2_lattices(k12_latwal_2,X1,esk6_1(k12_latwal_2))=k9_latwal_2(X1,esk6_1(k12_latwal_2))|~l1_lattices(k12_latwal_2)|~m1_subset_1(X1,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76, c_0_77]), c_0_78])])).
cnf(c_0_87, plain, (k9_latwal_2(esk5_1(k12_latwal_2),X1)=k3_xxreal_0(esk5_1(k12_latwal_2),X1)|X1=np__3|X1=np__1|~m1_subset_1(X1,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))), inference(spm,[status(thm)],[c_0_79, c_0_80])).
fof(c_0_88, plain, ![X95, X96]:(~v1_xxreal_0(X95)|(~v1_xxreal_0(X96)|(k3_xxreal_0(X95,X96)=X95|k3_xxreal_0(X95,X96)=X96))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t15_xxreal_0])])])).
cnf(c_0_89, plain, (v1_xxreal_0(X1)|~m1_subset_1(X1,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))), inference(spm,[status(thm)],[c_0_81, c_0_82])).
cnf(c_0_90, plain, (v2_struct_0(X1)|k1_lattices(X1,X2,X3)=k4_binop_1(u1_struct_0(X1),u2_lattices(X1),X2,X3)|~l2_lattices(X1)|~m1_subset_1(X2,u1_struct_0(X1))|~m1_subset_1(X3,u1_struct_0(X1))), inference(split_conjunct,[status(thm)],[c_0_83])).
cnf(c_0_91, plain, (X1=np__3|X1=np__1|k9_latwal_2(X1,X2)=k3_xxreal_0(X1,X2)|~m1_subset_1(X2,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))|~m1_subset_1(X1,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))), inference(split_conjunct,[status(thm)],[c_0_71])).
cnf(c_0_92, plain, (k9_latwal_2(X1,esk6_1(k12_latwal_2))=k3_xxreal_0(X1,esk6_1(k12_latwal_2))|esk6_1(k12_latwal_2)=np__3|X1=np__3|~m1_subset_1(X1,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))), inference(spm,[status(thm)],[c_0_84, c_0_78])).
cnf(c_0_93, plain, (k1_lattices(k12_latwal_2,k9_latwal_2(esk5_1(k12_latwal_2),esk6_1(k12_latwal_2)),esk6_1(k12_latwal_2))!=esk6_1(k12_latwal_2)|~l1_lattices(k12_latwal_2)), 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_85, c_0_86]), c_0_46]), c_0_80])]), c_0_54]), c_0_55])).
cnf(c_0_94, plain, (k9_latwal_2(esk5_1(k12_latwal_2),esk6_1(k12_latwal_2))=k3_xxreal_0(esk5_1(k12_latwal_2),esk6_1(k12_latwal_2))|esk6_1(k12_latwal_2)=np__1|esk6_1(k12_latwal_2)=np__3), inference(spm,[status(thm)],[c_0_87, c_0_78])).
fof(c_0_95, plain, ![X88]:((l1_lattices(X88)|~l3_lattices(X88))&(l2_lattices(X88)|~l3_lattices(X88))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l3_lattices])])])).
cnf(c_0_96, plain, (k3_xxreal_0(X1,X2)=X1|k3_xxreal_0(X1,X2)=X2|~v1_xxreal_0(X1)|~v1_xxreal_0(X2)), inference(split_conjunct,[status(thm)],[c_0_88])).
cnf(c_0_97, plain, (v1_xxreal_0(esk6_1(k12_latwal_2))), inference(spm,[status(thm)],[c_0_89, c_0_78])).
fof(c_0_98, plain, ![X64, X65, X66]:((X64!=k10_latwal_2|(~m1_subset_1(X65,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))|(~m1_subset_1(X66,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))|k4_binop_1(k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4),X64,X65,X66)=k8_latwal_2(X65,X66)))|(~v1_funct_1(X64)|~v1_funct_2(X64,k2_zfmisc_1(k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4),k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4)),k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))|~m1_subset_1(X64,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4),k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4)),k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))))))&((m1_subset_1(esk1_1(X64),k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))|X64=k10_latwal_2|(~v1_funct_1(X64)|~v1_funct_2(X64,k2_zfmisc_1(k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4),k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4)),k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))|~m1_subset_1(X64,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4),k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4)),k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))))))&((m1_subset_1(esk2_1(X64),k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))|X64=k10_latwal_2|(~v1_funct_1(X64)|~v1_funct_2(X64,k2_zfmisc_1(k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4),k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4)),k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))|~m1_subset_1(X64,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4),k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4)),k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))))))&(k4_binop_1(k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4),X64,esk1_1(X64),esk2_1(X64))!=k8_latwal_2(esk1_1(X64),esk2_1(X64))|X64=k10_latwal_2|(~v1_funct_1(X64)|~v1_funct_2(X64,k2_zfmisc_1(k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4),k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4)),k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))|~m1_subset_1(X64,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4),k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4)),k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))))))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d14_latwal_2])])])])])).
cnf(c_0_99, plain, (k4_binop_1(u1_struct_0(k12_latwal_2),u2_lattices(k12_latwal_2),X1,esk6_1(k12_latwal_2))=k1_lattices(k12_latwal_2,X1,esk6_1(k12_latwal_2))|~l2_lattices(k12_latwal_2)|~m1_subset_1(X1,u1_struct_0(k12_latwal_2))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_90, c_0_60]), c_0_54])).
cnf(c_0_100, plain, (k9_latwal_2(X1,esk6_1(k12_latwal_2))=k3_xxreal_0(X1,esk6_1(k12_latwal_2))|X1=np__3|X1=np__1|~m1_subset_1(X1,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))), inference(spm,[status(thm)],[c_0_91, c_0_78])).
cnf(c_0_101, plain, (k9_latwal_2(esk5_1(k12_latwal_2),esk6_1(k12_latwal_2))=k3_xxreal_0(esk5_1(k12_latwal_2),esk6_1(k12_latwal_2))|esk5_1(k12_latwal_2)=np__3|esk6_1(k12_latwal_2)=np__3), inference(spm,[status(thm)],[c_0_92, c_0_80])).
cnf(c_0_102, plain, (esk6_1(k12_latwal_2)=np__3|esk6_1(k12_latwal_2)=np__1|k1_lattices(k12_latwal_2,k3_xxreal_0(esk5_1(k12_latwal_2),esk6_1(k12_latwal_2)),esk6_1(k12_latwal_2))!=esk6_1(k12_latwal_2)|~l1_lattices(k12_latwal_2)), inference(spm,[status(thm)],[c_0_93, c_0_94])).
cnf(c_0_103, plain, (l1_lattices(X1)|~l3_lattices(X1)), inference(split_conjunct,[status(thm)],[c_0_95])).
cnf(c_0_104, plain, (k3_xxreal_0(X1,esk6_1(k12_latwal_2))=esk6_1(k12_latwal_2)|k3_xxreal_0(X1,esk6_1(k12_latwal_2))=X1|~v1_xxreal_0(X1)), inference(spm,[status(thm)],[c_0_96, c_0_97])).
cnf(c_0_105, plain, (v1_xxreal_0(esk5_1(k12_latwal_2))), inference(spm,[status(thm)],[c_0_89, c_0_80])).
cnf(c_0_106, plain, (k4_binop_1(k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4),X1,X2,X3)=k8_latwal_2(X2,X3)|X1!=k10_latwal_2|~m1_subset_1(X2,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))|~m1_subset_1(X3,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))|~v1_funct_1(X1)|~v1_funct_2(X1,k2_zfmisc_1(k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4),k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4)),k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))|~m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4),k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4)),k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))))), inference(split_conjunct,[status(thm)],[c_0_98])).
cnf(c_0_107, plain, (k4_binop_1(u1_struct_0(k12_latwal_2),k10_latwal_2,X1,esk6_1(k12_latwal_2))=k1_lattices(k12_latwal_2,X1,esk6_1(k12_latwal_2))|~l2_lattices(k12_latwal_2)|~m1_subset_1(X1,u1_struct_0(k12_latwal_2))), inference(rw,[status(thm)],[c_0_99, c_0_62])).
cnf(c_0_108, plain, (k9_latwal_2(esk5_1(k12_latwal_2),esk6_1(k12_latwal_2))=k3_xxreal_0(esk5_1(k12_latwal_2),esk6_1(k12_latwal_2))|esk5_1(k12_latwal_2)=np__1|esk5_1(k12_latwal_2)=np__3), inference(spm,[status(thm)],[c_0_100, c_0_80])).
cnf(c_0_109, plain, (esk6_1(k12_latwal_2)=np__3|esk5_1(k12_latwal_2)=np__3|k1_lattices(k12_latwal_2,k3_xxreal_0(esk5_1(k12_latwal_2),esk6_1(k12_latwal_2)),esk6_1(k12_latwal_2))!=esk6_1(k12_latwal_2)|~l1_lattices(k12_latwal_2)), inference(spm,[status(thm)],[c_0_93, c_0_101])).
cnf(c_0_110, plain, (esk6_1(k12_latwal_2)=np__1|esk6_1(k12_latwal_2)=np__3|k1_lattices(k12_latwal_2,k3_xxreal_0(esk5_1(k12_latwal_2),esk6_1(k12_latwal_2)),esk6_1(k12_latwal_2))!=esk6_1(k12_latwal_2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102, c_0_103]), c_0_46])])).
cnf(c_0_111, plain, (k3_xxreal_0(esk5_1(k12_latwal_2),esk6_1(k12_latwal_2))=esk5_1(k12_latwal_2)|k3_xxreal_0(esk5_1(k12_latwal_2),esk6_1(k12_latwal_2))=esk6_1(k12_latwal_2)), inference(spm,[status(thm)],[c_0_104, c_0_105])).
cnf(c_0_112, plain, (k4_binop_1(k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4),k10_latwal_2,X1,X2)=k8_latwal_2(X1,X2)|~m1_subset_1(X2,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))|~m1_subset_1(X1,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_106]), c_0_30]), c_0_31]), c_0_29])])).
cnf(c_0_113, plain, (k4_binop_1(k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4),k10_latwal_2,X1,esk6_1(k12_latwal_2))=k1_lattices(k12_latwal_2,X1,esk6_1(k12_latwal_2))|~l2_lattices(k12_latwal_2)|~m1_subset_1(X1,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_107, c_0_70]), c_0_70])).
fof(c_0_114, plain, ![X60, X61]:(((X60!=np__1|X61!=np__3|k8_latwal_2(X60,X61)=np__1|~m1_subset_1(X61,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))|~m1_subset_1(X60,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4)))&(X60!=np__3|X61!=np__1|k8_latwal_2(X60,X61)=np__1|~m1_subset_1(X61,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))|~m1_subset_1(X60,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))))&(((X60=np__3|X60=np__1|k8_latwal_2(X60,X61)=k4_xxreal_0(X60,X61)|~m1_subset_1(X61,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))|~m1_subset_1(X60,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4)))&(X61=np__1|X60=np__1|k8_latwal_2(X60,X61)=k4_xxreal_0(X60,X61)|~m1_subset_1(X61,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))|~m1_subset_1(X60,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))))&((X60=np__3|X61=np__3|k8_latwal_2(X60,X61)=k4_xxreal_0(X60,X61)|~m1_subset_1(X61,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))|~m1_subset_1(X60,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4)))&(X61=np__1|X61=np__3|k8_latwal_2(X60,X61)=k4_xxreal_0(X60,X61)|~m1_subset_1(X61,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))|~m1_subset_1(X60,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4)))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d12_latwal_2])])])])).
fof(c_0_115, plain, ![X1]:(v1_xxreal_0(X1)=>![X2]:(v1_xxreal_0(X2)=>((r1_xxreal_0(X2,X1)=>k4_xxreal_0(X1,X2)=X1)&(~r1_xxreal_0(X2,X1)=>k4_xxreal_0(X1,X2)=X2)))), inference(fof_simplification,[status(thm)],[d10_xxreal_0])).
fof(c_0_116, plain, ![X97, X98]:(~v1_xxreal_0(X97)|(~v1_xxreal_0(X98)|r1_xxreal_0(k3_xxreal_0(X97,X98),X97))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t17_xxreal_0])])])).
fof(c_0_117, plain, ![X54, X55]:(~v1_xxreal_0(X54)|~v1_xxreal_0(X55)|k3_xxreal_0(X54,X55)=k3_xxreal_0(X55,X54)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[commutativity_k3_xxreal_0])])).
cnf(c_0_118, plain, (esk5_1(k12_latwal_2)=np__3|esk5_1(k12_latwal_2)=np__1|k1_lattices(k12_latwal_2,k3_xxreal_0(esk5_1(k12_latwal_2),esk6_1(k12_latwal_2)),esk6_1(k12_latwal_2))!=esk6_1(k12_latwal_2)|~l1_lattices(k12_latwal_2)), inference(spm,[status(thm)],[c_0_93, c_0_108])).
cnf(c_0_119, plain, (esk5_1(k12_latwal_2)=np__3|esk6_1(k12_latwal_2)=np__3|k1_lattices(k12_latwal_2,k3_xxreal_0(esk5_1(k12_latwal_2),esk6_1(k12_latwal_2)),esk6_1(k12_latwal_2))!=esk6_1(k12_latwal_2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109, c_0_103]), c_0_46])])).
cnf(c_0_120, plain, (k3_xxreal_0(esk5_1(k12_latwal_2),esk6_1(k12_latwal_2))=esk6_1(k12_latwal_2)|esk6_1(k12_latwal_2)=np__3|esk6_1(k12_latwal_2)=np__1|k1_lattices(k12_latwal_2,esk5_1(k12_latwal_2),esk6_1(k12_latwal_2))!=esk6_1(k12_latwal_2)), inference(spm,[status(thm)],[c_0_110, c_0_111])).
cnf(c_0_121, plain, (k1_lattices(k12_latwal_2,X1,esk6_1(k12_latwal_2))=k8_latwal_2(X1,esk6_1(k12_latwal_2))|~l2_lattices(k12_latwal_2)|~m1_subset_1(X1,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112, c_0_113]), c_0_78])])).
cnf(c_0_122, plain, (X1=np__1|X1=np__3|k8_latwal_2(X2,X1)=k4_xxreal_0(X2,X1)|~m1_subset_1(X1,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))|~m1_subset_1(X2,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))), inference(split_conjunct,[status(thm)],[c_0_114])).
fof(c_0_123, plain, ![X58, X59]:((~r1_xxreal_0(X59,X58)|k4_xxreal_0(X58,X59)=X58|~v1_xxreal_0(X59)|~v1_xxreal_0(X58))&(r1_xxreal_0(X59,X58)|k4_xxreal_0(X58,X59)=X59|~v1_xxreal_0(X59)|~v1_xxreal_0(X58))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_115])])])])).
cnf(c_0_124, plain, (r1_xxreal_0(k3_xxreal_0(X1,X2),X1)|~v1_xxreal_0(X1)|~v1_xxreal_0(X2)), inference(split_conjunct,[status(thm)],[c_0_116])).
cnf(c_0_125, plain, (k3_xxreal_0(X1,X2)=k3_xxreal_0(X2,X1)|~v1_xxreal_0(X1)|~v1_xxreal_0(X2)), inference(split_conjunct,[status(thm)],[c_0_117])).
cnf(c_0_126, plain, (esk5_1(k12_latwal_2)=np__1|esk5_1(k12_latwal_2)=np__3|k1_lattices(k12_latwal_2,k3_xxreal_0(esk5_1(k12_latwal_2),esk6_1(k12_latwal_2)),esk6_1(k12_latwal_2))!=esk6_1(k12_latwal_2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118, c_0_103]), c_0_46])])).
cnf(c_0_127, plain, (k3_xxreal_0(esk5_1(k12_latwal_2),esk6_1(k12_latwal_2))=esk6_1(k12_latwal_2)|esk6_1(k12_latwal_2)=np__3|esk5_1(k12_latwal_2)=np__3|k1_lattices(k12_latwal_2,esk5_1(k12_latwal_2),esk6_1(k12_latwal_2))!=esk6_1(k12_latwal_2)), inference(spm,[status(thm)],[c_0_119, c_0_111])).
cnf(c_0_128, plain, (X1=np__3|X2=np__3|k8_latwal_2(X1,X2)=k4_xxreal_0(X1,X2)|~m1_subset_1(X2,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))|~m1_subset_1(X1,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))), inference(split_conjunct,[status(thm)],[c_0_114])).
fof(c_0_129, plain, ![X53]:(~m1_subset_1(X53,k4_ordinal1)|v7_ordinal1(X53)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc8_ordinal1])])).
cnf(c_0_130, plain, (k3_xxreal_0(esk5_1(k12_latwal_2),esk6_1(k12_latwal_2))=esk6_1(k12_latwal_2)|esk6_1(k12_latwal_2)=np__1|esk6_1(k12_latwal_2)=np__3|k8_latwal_2(esk5_1(k12_latwal_2),esk6_1(k12_latwal_2))!=esk6_1(k12_latwal_2)|~l2_lattices(k12_latwal_2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120, c_0_121]), c_0_80])])).
cnf(c_0_131, plain, (l2_lattices(X1)|~l3_lattices(X1)), inference(split_conjunct,[status(thm)],[c_0_95])).
cnf(c_0_132, plain, (k8_latwal_2(esk5_1(k12_latwal_2),X1)=k4_xxreal_0(esk5_1(k12_latwal_2),X1)|X1=np__3|X1=np__1|~m1_subset_1(X1,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))), inference(spm,[status(thm)],[c_0_122, c_0_80])).
cnf(c_0_133, plain, (k4_xxreal_0(X2,X1)=X2|~r1_xxreal_0(X1,X2)|~v1_xxreal_0(X1)|~v1_xxreal_0(X2)), inference(split_conjunct,[status(thm)],[c_0_123])).
cnf(c_0_134, plain, (r1_xxreal_0(k3_xxreal_0(X1,X2),X2)|~v1_xxreal_0(X1)|~v1_xxreal_0(X2)), inference(spm,[status(thm)],[c_0_124, c_0_125])).
cnf(c_0_135, plain, (r1_xxreal_0(X1,X2)|k4_xxreal_0(X2,X1)=X1|~v1_xxreal_0(X1)|~v1_xxreal_0(X2)), inference(split_conjunct,[status(thm)],[c_0_123])).
cnf(c_0_136, plain, (k3_xxreal_0(esk5_1(k12_latwal_2),esk6_1(k12_latwal_2))=esk6_1(k12_latwal_2)|esk5_1(k12_latwal_2)=np__3|esk5_1(k12_latwal_2)=np__1|k1_lattices(k12_latwal_2,esk5_1(k12_latwal_2),esk6_1(k12_latwal_2))!=esk6_1(k12_latwal_2)), inference(spm,[status(thm)],[c_0_126, c_0_111])).
cnf(c_0_137, plain, (X1=np__3|X1=np__1|k8_latwal_2(X1,X2)=k4_xxreal_0(X1,X2)|~m1_subset_1(X2,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))|~m1_subset_1(X1,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))), inference(split_conjunct,[status(thm)],[c_0_114])).
cnf(c_0_138, plain, (k3_xxreal_0(esk5_1(k12_latwal_2),esk6_1(k12_latwal_2))=esk6_1(k12_latwal_2)|esk5_1(k12_latwal_2)=np__3|esk6_1(k12_latwal_2)=np__3|k8_latwal_2(esk5_1(k12_latwal_2),esk6_1(k12_latwal_2))!=esk6_1(k12_latwal_2)|~l2_lattices(k12_latwal_2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127, c_0_121]), c_0_80])])).
cnf(c_0_139, plain, (k8_latwal_2(X1,esk6_1(k12_latwal_2))=k4_xxreal_0(X1,esk6_1(k12_latwal_2))|esk6_1(k12_latwal_2)=np__3|X1=np__3|~m1_subset_1(X1,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))), inference(spm,[status(thm)],[c_0_128, c_0_78])).
cnf(c_0_140, plain, (v7_ordinal1(X1)|~m1_subset_1(X1,k4_ordinal1)), inference(split_conjunct,[status(thm)],[c_0_129])).
cnf(c_0_141, plain, (k3_xxreal_0(esk5_1(k12_latwal_2),esk6_1(k12_latwal_2))=esk6_1(k12_latwal_2)|esk6_1(k12_latwal_2)=np__3|esk6_1(k12_latwal_2)=np__1|k8_latwal_2(esk5_1(k12_latwal_2),esk6_1(k12_latwal_2))!=esk6_1(k12_latwal_2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_130, c_0_131]), c_0_46])])).
cnf(c_0_142, plain, (k8_latwal_2(esk5_1(k12_latwal_2),esk6_1(k12_latwal_2))=k4_xxreal_0(esk5_1(k12_latwal_2),esk6_1(k12_latwal_2))|esk6_1(k12_latwal_2)=np__1|esk6_1(k12_latwal_2)=np__3), inference(spm,[status(thm)],[c_0_132, c_0_78])).
fof(c_0_143, plain, ![X56, X57]:(~v1_xxreal_0(X56)|~v1_xxreal_0(X57)|k4_xxreal_0(X56,X57)=k4_xxreal_0(X57,X56)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[commutativity_k4_xxreal_0])])).
cnf(c_0_144, plain, (k4_xxreal_0(X1,k3_xxreal_0(X2,X1))=X1|~v1_xxreal_0(k3_xxreal_0(X2,X1))|~v1_xxreal_0(X1)|~v1_xxreal_0(X2)), inference(spm,[status(thm)],[c_0_133, c_0_134])).
cnf(c_0_145, plain, (k4_xxreal_0(esk6_1(k12_latwal_2),X1)=X1|r1_xxreal_0(X1,esk6_1(k12_latwal_2))|~v1_xxreal_0(X1)), inference(spm,[status(thm)],[c_0_135, c_0_97])).
cnf(c_0_146, plain, (k3_xxreal_0(esk5_1(k12_latwal_2),esk6_1(k12_latwal_2))=esk6_1(k12_latwal_2)|esk5_1(k12_latwal_2)=np__1|esk5_1(k12_latwal_2)=np__3|k8_latwal_2(esk5_1(k12_latwal_2),esk6_1(k12_latwal_2))!=esk6_1(k12_latwal_2)|~l2_lattices(k12_latwal_2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136, c_0_121]), c_0_80])])).
cnf(c_0_147, plain, (k8_latwal_2(X1,esk6_1(k12_latwal_2))=k4_xxreal_0(X1,esk6_1(k12_latwal_2))|X1=np__3|X1=np__1|~m1_subset_1(X1,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))), inference(spm,[status(thm)],[c_0_137, c_0_78])).
cnf(c_0_148, plain, (k3_xxreal_0(esk5_1(k12_latwal_2),esk6_1(k12_latwal_2))=esk6_1(k12_latwal_2)|esk6_1(k12_latwal_2)=np__3|esk5_1(k12_latwal_2)=np__3|k8_latwal_2(esk5_1(k12_latwal_2),esk6_1(k12_latwal_2))!=esk6_1(k12_latwal_2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_138, c_0_131]), c_0_46])])).
cnf(c_0_149, plain, (k8_latwal_2(esk5_1(k12_latwal_2),esk6_1(k12_latwal_2))=k4_xxreal_0(esk5_1(k12_latwal_2),esk6_1(k12_latwal_2))|esk5_1(k12_latwal_2)=np__3|esk6_1(k12_latwal_2)=np__3), inference(spm,[status(thm)],[c_0_139, c_0_80])).
cnf(c_0_150, plain, (v1_xxreal_0(X1)|~m1_subset_1(X1,k4_ordinal1)), inference(spm,[status(thm)],[c_0_81, c_0_140])).
cnf(c_0_151, plain, (k3_xxreal_0(esk5_1(k12_latwal_2),esk6_1(k12_latwal_2))=esk6_1(k12_latwal_2)|esk6_1(k12_latwal_2)=np__1|esk6_1(k12_latwal_2)=np__3|k4_xxreal_0(esk5_1(k12_latwal_2),esk6_1(k12_latwal_2))!=esk6_1(k12_latwal_2)), inference(spm,[status(thm)],[c_0_141, c_0_142])).
cnf(c_0_152, plain, (k4_xxreal_0(X1,X2)=k4_xxreal_0(X2,X1)|~v1_xxreal_0(X1)|~v1_xxreal_0(X2)), inference(split_conjunct,[status(thm)],[c_0_143])).
cnf(c_0_153, plain, (k3_xxreal_0(esk5_1(k12_latwal_2),esk6_1(k12_latwal_2))=esk6_1(k12_latwal_2)|k4_xxreal_0(esk6_1(k12_latwal_2),esk5_1(k12_latwal_2))=esk6_1(k12_latwal_2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_144, c_0_111]), c_0_105]), c_0_97])])).
cnf(c_0_154, plain, (k4_xxreal_0(esk6_1(k12_latwal_2),esk6_1(k12_latwal_2))=esk6_1(k12_latwal_2)|r1_xxreal_0(esk6_1(k12_latwal_2),esk6_1(k12_latwal_2))), inference(spm,[status(thm)],[c_0_145, c_0_97])).
cnf(c_0_155, plain, (k3_xxreal_0(esk5_1(k12_latwal_2),esk6_1(k12_latwal_2))=esk6_1(k12_latwal_2)|esk5_1(k12_latwal_2)=np__3|esk5_1(k12_latwal_2)=np__1|k8_latwal_2(esk5_1(k12_latwal_2),esk6_1(k12_latwal_2))!=esk6_1(k12_latwal_2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_146, c_0_131]), c_0_46])])).
cnf(c_0_156, plain, (k8_latwal_2(esk5_1(k12_latwal_2),esk6_1(k12_latwal_2))=k4_xxreal_0(esk5_1(k12_latwal_2),esk6_1(k12_latwal_2))|esk5_1(k12_latwal_2)=np__1|esk5_1(k12_latwal_2)=np__3), inference(spm,[status(thm)],[c_0_147, c_0_80])).
cnf(c_0_157, plain, (k3_xxreal_0(esk5_1(k12_latwal_2),esk6_1(k12_latwal_2))=esk6_1(k12_latwal_2)|esk5_1(k12_latwal_2)=np__3|esk6_1(k12_latwal_2)=np__3|k4_xxreal_0(esk5_1(k12_latwal_2),esk6_1(k12_latwal_2))!=esk6_1(k12_latwal_2)), inference(spm,[status(thm)],[c_0_148, c_0_149])).
cnf(c_0_158, plain, (k3_xxreal_0(X1,X2)=X1|k3_xxreal_0(X1,X2)=X2|~m1_subset_1(X2,k4_ordinal1)|~v1_xxreal_0(X1)), inference(spm,[status(thm)],[c_0_96, c_0_150])).
cnf(c_0_159, plain, (m1_subset_1(np__3,k4_ordinal1)), inference(split_conjunct,[status(thm)],[spc3_numerals])).
cnf(c_0_160, plain, (k3_xxreal_0(esk5_1(k12_latwal_2),esk6_1(k12_latwal_2))=esk6_1(k12_latwal_2)|esk6_1(k12_latwal_2)=np__3|esk6_1(k12_latwal_2)=np__1), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_151, c_0_152]), c_0_97]), c_0_105])]), c_0_153])).
cnf(c_0_161, plain, (k8_latwal_2(esk6_1(k12_latwal_2),X1)=k4_xxreal_0(esk6_1(k12_latwal_2),X1)|X1=np__3|X1=np__1|~m1_subset_1(X1,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))), inference(spm,[status(thm)],[c_0_122, c_0_78])).
cnf(c_0_162, plain, (k4_xxreal_0(esk6_1(k12_latwal_2),esk6_1(k12_latwal_2))=esk6_1(k12_latwal_2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133, c_0_154]), c_0_97])])).
cnf(c_0_163, plain, (k3_xxreal_0(esk5_1(k12_latwal_2),esk6_1(k12_latwal_2))=esk6_1(k12_latwal_2)|esk5_1(k12_latwal_2)=np__1|esk5_1(k12_latwal_2)=np__3|k4_xxreal_0(esk5_1(k12_latwal_2),esk6_1(k12_latwal_2))!=esk6_1(k12_latwal_2)), inference(spm,[status(thm)],[c_0_155, c_0_156])).
cnf(c_0_164, plain, (k3_xxreal_0(esk5_1(k12_latwal_2),esk6_1(k12_latwal_2))=esk6_1(k12_latwal_2)|esk6_1(k12_latwal_2)=np__3|esk5_1(k12_latwal_2)=np__3), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_157, c_0_152]), c_0_97]), c_0_105])]), c_0_153])).
cnf(c_0_165, plain, (k3_xxreal_0(X1,np__3)=np__3|k3_xxreal_0(X1,np__3)=X1|~v1_xxreal_0(X1)), inference(spm,[status(thm)],[c_0_158, c_0_159])).
cnf(c_0_166, plain, (esk6_1(k12_latwal_2)=np__3|esk6_1(k12_latwal_2)=np__1|k1_lattices(k12_latwal_2,esk6_1(k12_latwal_2),esk6_1(k12_latwal_2))!=esk6_1(k12_latwal_2)), inference(spm,[status(thm)],[c_0_110, c_0_160])).
cnf(c_0_167, plain, (k8_latwal_2(esk6_1(k12_latwal_2),esk6_1(k12_latwal_2))=esk6_1(k12_latwal_2)|esk6_1(k12_latwal_2)=np__1|esk6_1(k12_latwal_2)=np__3), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_161, c_0_78]), c_0_162])).
cnf(c_0_168, plain, (k3_xxreal_0(esk5_1(k12_latwal_2),esk6_1(k12_latwal_2))=esk6_1(k12_latwal_2)|esk5_1(k12_latwal_2)=np__3|esk5_1(k12_latwal_2)=np__1), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_163, c_0_152]), c_0_97]), c_0_105])]), c_0_153])).
cnf(c_0_169, plain, (esk6_1(k12_latwal_2)=np__3|esk5_1(k12_latwal_2)=np__3|k1_lattices(k12_latwal_2,esk6_1(k12_latwal_2),esk6_1(k12_latwal_2))!=esk6_1(k12_latwal_2)), inference(spm,[status(thm)],[c_0_119, c_0_164])).
cnf(c_0_170, plain, (k8_latwal_2(esk6_1(k12_latwal_2),esk6_1(k12_latwal_2))=esk6_1(k12_latwal_2)|esk6_1(k12_latwal_2)=np__3), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_139, c_0_78]), c_0_162])).
cnf(c_0_171, plain, (k3_xxreal_0(esk6_1(k12_latwal_2),np__3)=esk6_1(k12_latwal_2)|k3_xxreal_0(esk6_1(k12_latwal_2),np__3)=np__3), inference(spm,[status(thm)],[c_0_165, c_0_97])).
cnf(c_0_172, plain, (esk6_1(k12_latwal_2)=np__1|esk6_1(k12_latwal_2)=np__3|~l2_lattices(k12_latwal_2)), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_166, c_0_121]), c_0_78])]), c_0_167])).
cnf(c_0_173, plain, (esk5_1(k12_latwal_2)=np__3|esk5_1(k12_latwal_2)=np__1|k1_lattices(k12_latwal_2,esk6_1(k12_latwal_2),esk6_1(k12_latwal_2))!=esk6_1(k12_latwal_2)), inference(spm,[status(thm)],[c_0_126, c_0_168])).
cnf(c_0_174, plain, (X1=np__1|X2=np__1|k8_latwal_2(X2,X1)=k4_xxreal_0(X2,X1)|~m1_subset_1(X1,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))|~m1_subset_1(X2,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))), inference(split_conjunct,[status(thm)],[c_0_114])).
cnf(c_0_175, plain, (esk5_1(k12_latwal_2)=np__3|esk6_1(k12_latwal_2)=np__3|~l2_lattices(k12_latwal_2)), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_169, c_0_121]), c_0_78])]), c_0_170])).
cnf(c_0_176, plain, (k3_xxreal_0(esk6_1(k12_latwal_2),np__3)=np__3|esk6_1(k12_latwal_2)!=np__3), inference(ef,[status(thm)],[c_0_171])).
cnf(c_0_177, plain, (esk6_1(k12_latwal_2)=np__3|esk6_1(k12_latwal_2)=np__1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_172, c_0_131]), c_0_46])])).
fof(c_0_178, plain, ~r1_xxreal_0(np__3,np__1), inference(fof_simplification,[status(thm)],[rqLessOrEqual__r1_xxreal_0__r3_r1])).
cnf(c_0_179, plain, (esk5_1(k12_latwal_2)=np__1|esk5_1(k12_latwal_2)=np__3|k8_latwal_2(esk6_1(k12_latwal_2),esk6_1(k12_latwal_2))!=esk6_1(k12_latwal_2)|~l2_lattices(k12_latwal_2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_173, c_0_121]), c_0_78])])).
cnf(c_0_180, plain, (k8_latwal_2(esk6_1(k12_latwal_2),X1)=k4_xxreal_0(esk6_1(k12_latwal_2),X1)|esk6_1(k12_latwal_2)=np__1|X1=np__1|~m1_subset_1(X1,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))), inference(spm,[status(thm)],[c_0_174, c_0_78])).
cnf(c_0_181, plain, (esk6_1(k12_latwal_2)=np__3|esk5_1(k12_latwal_2)=np__3), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_175, c_0_131]), c_0_46])])).
cnf(c_0_182, plain, (r1_xxreal_0(np__3,esk6_1(k12_latwal_2))|esk6_1(k12_latwal_2)!=np__3|~v1_xxreal_0(np__3)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124, c_0_176]), c_0_97])])).
cnf(c_0_183, plain, (esk6_1(k12_latwal_2)=np__1|np__3!=np__1), inference(ef,[status(thm)],[c_0_177])).
cnf(c_0_184, plain, (~r1_xxreal_0(np__3,np__1)), inference(split_conjunct,[status(thm)],[c_0_178])).
cnf(c_0_185, plain, (esk5_1(k12_latwal_2)=np__3|esk5_1(k12_latwal_2)=np__1|k8_latwal_2(esk6_1(k12_latwal_2),esk6_1(k12_latwal_2))!=esk6_1(k12_latwal_2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_179, c_0_131]), c_0_46])])).
cnf(c_0_186, plain, (k8_latwal_2(esk6_1(k12_latwal_2),esk6_1(k12_latwal_2))=esk6_1(k12_latwal_2)|esk6_1(k12_latwal_2)=np__1), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_180, c_0_78]), c_0_162])).
cnf(c_0_187, plain, (esk6_1(k12_latwal_2)=np__3|m1_subset_1(np__3,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))), inference(spm,[status(thm)],[c_0_80, c_0_181])).
cnf(c_0_188, plain, (np__3!=np__1|~v1_xxreal_0(np__3)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_182, c_0_183]), c_0_184])).
cnf(c_0_189, plain, (esk6_1(k12_latwal_2)=np__1|esk5_1(k12_latwal_2)=np__1|esk5_1(k12_latwal_2)=np__3), inference(spm,[status(thm)],[c_0_185, c_0_186])).
cnf(c_0_190, plain, (X1=np__1|X2=np__1|k9_latwal_2(X2,X1)=k3_xxreal_0(X2,X1)|~m1_subset_1(X1,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))|~m1_subset_1(X2,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))), inference(split_conjunct,[status(thm)],[c_0_71])).
cnf(c_0_191, plain, (m1_subset_1(np__3,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))), inference(spm,[status(thm)],[c_0_78, c_0_187])).
cnf(c_0_192, plain, (np__3!=np__1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_188, c_0_150]), c_0_159])])).
cnf(c_0_193, plain, (k3_xxreal_0(X1,esk5_1(k12_latwal_2))=esk5_1(k12_latwal_2)|k3_xxreal_0(X1,esk5_1(k12_latwal_2))=X1|~v1_xxreal_0(X1)), inference(spm,[status(thm)],[c_0_96, c_0_105])).
cnf(c_0_194, plain, (esk5_1(k12_latwal_2)=np__1|esk6_1(k12_latwal_2)=np__1|k1_lattices(k12_latwal_2,k9_latwal_2(np__3,esk6_1(k12_latwal_2)),esk6_1(k12_latwal_2))!=esk6_1(k12_latwal_2)|~l1_lattices(k12_latwal_2)), inference(spm,[status(thm)],[c_0_93, c_0_189])).
cnf(c_0_195, plain, (k9_latwal_2(np__3,X1)=k3_xxreal_0(np__3,X1)|X1=np__1|~m1_subset_1(X1,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_190, c_0_191]), c_0_192])).
cnf(c_0_196, plain, (k3_xxreal_0(esk5_1(k12_latwal_2),esk5_1(k12_latwal_2))=esk5_1(k12_latwal_2)), inference(spm,[status(thm)],[c_0_193, c_0_105])).
cnf(c_0_197, plain, (k8_latwal_2(np__3,np__3)=np__3|esk6_1(k12_latwal_2)=np__1), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_186, c_0_177]), c_0_192])).
cnf(c_0_198, plain, (esk6_1(k12_latwal_2)=np__1|esk5_1(k12_latwal_2)=np__1|k1_lattices(k12_latwal_2,k9_latwal_2(np__3,esk6_1(k12_latwal_2)),esk6_1(k12_latwal_2))!=esk6_1(k12_latwal_2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_194, c_0_103]), c_0_46])])).
cnf(c_0_199, plain, (k9_latwal_2(np__3,esk6_1(k12_latwal_2))=k3_xxreal_0(np__3,esk6_1(k12_latwal_2))|esk6_1(k12_latwal_2)=np__1), inference(spm,[status(thm)],[c_0_195, c_0_78])).
cnf(c_0_200, plain, (k3_xxreal_0(esk5_1(k12_latwal_2),esk6_1(k12_latwal_2))=esk6_1(k12_latwal_2)|esk5_1(k12_latwal_2)!=esk6_1(k12_latwal_2)), inference(ef,[status(thm)],[c_0_111])).
cnf(c_0_201, plain, (k8_latwal_2(esk5_1(k12_latwal_2),X1)=k4_xxreal_0(esk5_1(k12_latwal_2),X1)|esk5_1(k12_latwal_2)=np__1|X1=np__1|~m1_subset_1(X1,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))), inference(spm,[status(thm)],[c_0_174, c_0_80])).
cnf(c_0_202, plain, (k4_xxreal_0(esk5_1(k12_latwal_2),esk5_1(k12_latwal_2))=esk5_1(k12_latwal_2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_144, c_0_196]), c_0_105])])).
cnf(c_0_203, plain, (k8_latwal_2(np__3,np__3)=np__3|k8_latwal_2(np__1,np__1)=np__1), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_170, c_0_197]), c_0_192])).
cnf(c_0_204, plain, (esk5_1(k12_latwal_2)=np__1|esk6_1(k12_latwal_2)=np__1|k1_lattices(k12_latwal_2,k3_xxreal_0(np__3,esk6_1(k12_latwal_2)),esk6_1(k12_latwal_2))!=esk6_1(k12_latwal_2)), inference(spm,[status(thm)],[c_0_198, c_0_199])).
cnf(c_0_205, plain, (k3_xxreal_0(np__3,esk6_1(k12_latwal_2))=esk6_1(k12_latwal_2)|esk5_1(k12_latwal_2)=np__1|esk6_1(k12_latwal_2)=np__1), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_200, c_0_189]), c_0_177])).
cnf(c_0_206, plain, (k8_latwal_2(esk5_1(k12_latwal_2),esk5_1(k12_latwal_2))=esk5_1(k12_latwal_2)|esk5_1(k12_latwal_2)=np__1), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_201, c_0_80]), c_0_202])).
cnf(c_0_207, plain, (k8_latwal_2(np__3,np__3)=np__3|esk5_1(k12_latwal_2)=np__1|esk5_1(k12_latwal_2)=np__3), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185, c_0_197]), c_0_203])).
cnf(c_0_208, plain, (esk6_1(k12_latwal_2)=np__1|esk5_1(k12_latwal_2)=np__1|k1_lattices(k12_latwal_2,esk6_1(k12_latwal_2),esk6_1(k12_latwal_2))!=esk6_1(k12_latwal_2)), inference(spm,[status(thm)],[c_0_204, c_0_205])).
cnf(c_0_209, plain, (esk6_1(k12_latwal_2)=np__3|esk5_1(k12_latwal_2)=np__3|k1_lattices(k12_latwal_2,esk6_1(k12_latwal_2),esk6_1(k12_latwal_2))!=esk6_1(k12_latwal_2)|esk5_1(k12_latwal_2)!=esk6_1(k12_latwal_2)), inference(spm,[status(thm)],[c_0_119, c_0_200])).
cnf(c_0_210, plain, (k8_latwal_2(np__3,np__3)=np__3|esk5_1(k12_latwal_2)=np__1), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_206, c_0_207]), c_0_192])).
cnf(c_0_211, plain, (esk5_1(k12_latwal_2)=np__1|esk6_1(k12_latwal_2)=np__1|~l2_lattices(k12_latwal_2)), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_208, c_0_121]), c_0_78])]), c_0_186])).
cnf(c_0_212, plain, (k9_latwal_2(X1,X2)=np__3|X1!=np__1|X2!=np__3|~m1_subset_1(X2,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))|~m1_subset_1(X1,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))), inference(split_conjunct,[status(thm)],[c_0_71])).
cnf(c_0_213, plain, (k8_latwal_2(np__3,np__3)=np__3|esk6_1(k12_latwal_2)=np__3|k1_lattices(k12_latwal_2,esk6_1(k12_latwal_2),esk6_1(k12_latwal_2))!=esk6_1(k12_latwal_2)), inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_209, c_0_210]), c_0_192]), c_0_177])).
cnf(c_0_214, plain, (esk6_1(k12_latwal_2)=np__1|k1_lattices(k12_latwal_2,k9_latwal_2(esk5_1(k12_latwal_2),np__3),np__3)!=np__3|~l1_lattices(k12_latwal_2)), inference(spm,[status(thm)],[c_0_93, c_0_177])).
cnf(c_0_215, plain, (esk6_1(k12_latwal_2)=np__1|esk5_1(k12_latwal_2)=np__1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_211, c_0_131]), c_0_46])])).
cnf(c_0_216, plain, (k9_latwal_2(np__1,np__3)=np__3|~m1_subset_1(np__3,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))|~m1_subset_1(np__1,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))), inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_212])])).
cnf(c_0_217, plain, (k8_latwal_2(np__3,np__3)=np__3|esk6_1(k12_latwal_2)=np__3|~l2_lattices(k12_latwal_2)), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_213, c_0_121]), c_0_78])]), c_0_170])).
cnf(c_0_218, plain, (esk6_1(k12_latwal_2)=np__1|k1_lattices(k12_latwal_2,k9_latwal_2(np__1,np__3),np__3)!=np__3|~l1_lattices(k12_latwal_2)), inference(spm,[status(thm)],[c_0_214, c_0_215])).
cnf(c_0_219, plain, (k9_latwal_2(np__1,np__3)=np__3|~m1_subset_1(np__1,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_216, c_0_191])])).
cnf(c_0_220, plain, (esk6_1(k12_latwal_2)=np__1|m1_subset_1(np__1,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))), inference(spm,[status(thm)],[c_0_80, c_0_215])).
cnf(c_0_221, plain, (k1_lattices(k12_latwal_2,X1,np__3)=k8_latwal_2(X1,np__3)|esk6_1(k12_latwal_2)=np__1|~l2_lattices(k12_latwal_2)|~m1_subset_1(X1,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))), inference(spm,[status(thm)],[c_0_121, c_0_177])).
cnf(c_0_222, plain, (k8_latwal_2(np__3,np__3)=np__3|esk6_1(k12_latwal_2)=np__3), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_217, c_0_131]), c_0_46])])).
cnf(c_0_223, plain, (esk6_1(k12_latwal_2)=np__1|k1_lattices(k12_latwal_2,np__3,np__3)!=np__3|~l1_lattices(k12_latwal_2)|~m1_subset_1(np__1,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))), inference(spm,[status(thm)],[c_0_218, c_0_219])).
cnf(c_0_224, plain, (m1_subset_1(np__1,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))), inference(spm,[status(thm)],[c_0_78, c_0_220])).
cnf(c_0_225, plain, (k1_lattices(k12_latwal_2,X1,np__3)=k8_latwal_2(X1,np__3)|esk6_1(k12_latwal_2)=np__1|~m1_subset_1(X1,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_221, c_0_131]), c_0_46])])).
cnf(c_0_226, plain, (k8_latwal_2(np__3,np__3)=np__3), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_197, c_0_222]), c_0_192])).
cnf(c_0_227, plain, (esk6_1(k12_latwal_2)=np__1|k1_lattices(k12_latwal_2,np__3,np__3)!=np__3|~l1_lattices(k12_latwal_2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_223, c_0_224])])).
cnf(c_0_228, plain, (k1_lattices(k12_latwal_2,np__3,np__3)=np__3|esk6_1(k12_latwal_2)=np__1), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_225, c_0_191]), c_0_226])).
cnf(c_0_229, plain, (k9_latwal_2(X1,X2)=np__3|X1!=np__3|X2!=np__1|~m1_subset_1(X2,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))|~m1_subset_1(X1,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))), inference(split_conjunct,[status(thm)],[c_0_71])).
cnf(c_0_230, plain, (k8_latwal_2(X1,X2)=np__1|X1!=np__3|X2!=np__1|~m1_subset_1(X2,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))|~m1_subset_1(X1,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))), inference(split_conjunct,[status(thm)],[c_0_114])).
cnf(c_0_231, plain, (esk6_1(k12_latwal_2)=np__1|~l1_lattices(k12_latwal_2)), inference(spm,[status(thm)],[c_0_227, c_0_228])).
cnf(c_0_232, plain, (k9_latwal_2(np__3,np__1)=np__3|~m1_subset_1(np__1,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))|~m1_subset_1(np__3,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))), inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_229])])).
cnf(c_0_233, plain, (k8_latwal_2(np__3,np__1)=np__1|~m1_subset_1(np__1,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))|~m1_subset_1(np__3,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))), inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_230])])).
cnf(c_0_234, plain, (esk6_1(k12_latwal_2)=np__1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_231, c_0_103]), c_0_46])])).
cnf(c_0_235, plain, (k9_latwal_2(np__3,np__1)=np__3|~m1_subset_1(np__1,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_232, c_0_191])])).
cnf(c_0_236, plain, (k8_latwal_2(np__3,np__1)=np__1|~m1_subset_1(np__1,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_233, c_0_191])])).
cnf(c_0_237, plain, (k8_latwal_2(k9_latwal_2(esk5_1(k12_latwal_2),esk6_1(k12_latwal_2)),esk6_1(k12_latwal_2))!=esk6_1(k12_latwal_2)|~l1_lattices(k12_latwal_2)|~l2_lattices(k12_latwal_2)|~m1_subset_1(k9_latwal_2(esk5_1(k12_latwal_2),esk6_1(k12_latwal_2)),k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))), inference(spm,[status(thm)],[c_0_93, c_0_121])).
cnf(c_0_238, plain, (esk5_1(k12_latwal_2)=np__3), inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_181, c_0_234]), c_0_192])).
cnf(c_0_239, plain, (k9_latwal_2(np__3,np__1)=np__3), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_235, c_0_224])])).
cnf(c_0_240, plain, (k8_latwal_2(np__3,np__1)=np__1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_236, c_0_224])])).
cnf(c_0_241, plain, (~l1_lattices(k12_latwal_2)|~l2_lattices(k12_latwal_2)), 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)],[c_0_237, c_0_234]), c_0_234]), c_0_234]), c_0_234]), c_0_238]), c_0_239]), c_0_240]), c_0_238]), c_0_239]), c_0_191])])).
cnf(c_0_242, plain, (~l2_lattices(k12_latwal_2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_241, c_0_103]), c_0_46])])).
cnf(c_0_243, plain, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_242, c_0_131]), c_0_46])]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 244
# Proof object clause steps            : 192
# Proof object formula steps           : 52
# Proof object conjectures             : 3
# Proof object clause conjectures      : 1
# Proof object formula conjectures     : 2
# Proof object initial clauses used    : 46
# Proof object initial formulas used   : 26
# Proof object generating inferences   : 126
# Proof object simplifying inferences  : 190
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 27
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 58
# Removed in clause preprocessing      : 0
# Initial clauses in saturation        : 58
# Processed clauses                    : 3034
# ...of these trivial                  : 69
# ...subsumed                          : 1728
# ...remaining for further processing  : 1237
# Other redundant clauses eliminated   : 22
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 266
# Backward-rewritten                   : 551
# Generated clauses                    : 10987
# ...of the previous two non-trivial   : 8762
# Contextual simplify-reflections      : 120
# Paramodulations                      : 10876
# Factorizations                       : 84
# NegExts                              : 0
# Equation resolutions                 : 31
# 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  : 356
#    Positive orientable unit clauses  : 53
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 7
#    Non-unit-clauses                  : 296
# Current number of unprocessed clauses: 4408
# ...number of literals in the above   : 19345
# Current number of archived formulas  : 0
# Current number of archived clauses   : 875
# Clause-clause subsumption calls (NU) : 274363
# Rec. Clause-clause subsumption calls : 75251
# Non-unit clause-clause subsumptions  : 1848
# Unit Clause-clause subsumption calls : 3501
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 27
# BW rewrite match successes           : 23
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 143554

# -------------------------------------------------
# User time                : 0.193 s
# System time              : 0.008 s
# Total time               : 0.201 s
# Maximum resident set size: 3464 pages
