# No SInE strategy applied
# Trying AutoSched0 for 161 seconds
# AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
# and selection function SelectComplexExceptUniqMaxHorn.
#
# Preprocessing time       : 0.014 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(d8_latwal_2, axiom, ![X1]:(l1_orders_2(X1)=>((((v1_lattice3(X1)&v2_lattice3(X1))&v3_orders_2(X1))&v5_orders_2(X1))=>![X2]:(((((((((~(v2_struct_0(X2))&v3_lattices(X2))&v4_lattices(X2))&v6_lattices(X2))&v7_robbins1(X2))&v5_sheffer1(X2))&v1_latwal_1(X2))&v2_latwal_1(X2))&l3_lattices(X2))=>(X2=k7_latwal_2(X1)<=>g1_orders_2(u1_struct_0(X1),u1_orders_2(X1))=k4_latwal_2(X2))))), file('latwal_2/latwal_2__t36_latwal_2', d8_latwal_2)).
fof(dt_k7_latwal_2, axiom, ![X1]:(l1_orders_2(X1)=>((((((((~(v2_struct_0(k7_latwal_2(X1)))&v3_lattices(k7_latwal_2(X1)))&v4_lattices(k7_latwal_2(X1)))&v6_lattices(k7_latwal_2(X1)))&v7_robbins1(k7_latwal_2(X1)))&v5_sheffer1(k7_latwal_2(X1)))&v1_latwal_1(k7_latwal_2(X1)))&v2_latwal_1(k7_latwal_2(X1)))&l3_lattices(k7_latwal_2(X1)))), file('latwal_2/latwal_2__t36_latwal_2', dt_k7_latwal_2)).
fof(free_g1_orders_2, axiom, ![X1, X2]:(m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X1,X1)))=>![X3, X4]:(g1_orders_2(X1,X2)=g1_orders_2(X3,X4)=>(X1=X3&X2=X4))), file('latwal_2/latwal_2__t36_latwal_2', free_g1_orders_2)).
fof(dt_u1_orders_2, axiom, ![X1]:(l1_orders_2(X1)=>m1_subset_1(u1_orders_2(X1),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1))))), file('latwal_2/latwal_2__t36_latwal_2', dt_u1_orders_2)).
fof(d5_latwal_2, axiom, ![X1]:((((((((~(v2_struct_0(X1))&v4_lattices(X1))&v6_lattices(X1))&v7_robbins1(X1))&v5_sheffer1(X1))&v1_latwal_1(X1))&v2_latwal_1(X1))&l3_lattices(X1))=>k4_latwal_2(X1)=g1_orders_2(u1_struct_0(X1),k3_latwal_2(X1))), file('latwal_2/latwal_2__t36_latwal_2', d5_latwal_2)).
fof(redefinition_r3_lattices, axiom, ![X1, X2, X3]:(((((((~(v2_struct_0(X1))&v6_lattices(X1))&v8_lattices(X1))&v9_lattices(X1))&l3_lattices(X1))&m1_subset_1(X2,u1_struct_0(X1)))&m1_subset_1(X3,u1_struct_0(X1)))=>(r3_lattices(X1,X2,X3)<=>r1_lattices(X1,X2,X3))), file('latwal_2/latwal_2__t36_latwal_2', redefinition_r3_lattices)).
fof(t36_latwal_2, conjecture, ![X1]:((((((~(v2_struct_0(X1))&v3_orders_2(X1))&v5_orders_2(X1))&v1_lattice3(X1))&v2_lattice3(X1))&l1_orders_2(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(k7_latwal_2(X1)))=>![X5]:(m1_subset_1(X5,u1_struct_0(k7_latwal_2(X1)))=>((X2=X4&X3=X5)=>(r3_lattices(k7_latwal_2(X1),X4,X5)<=>r3_orders_2(X1,X2,X3)))))))), file('latwal_2/latwal_2__t36_latwal_2', t36_latwal_2)).
fof(cc6_latwal_1, axiom, ![X1]:(l3_lattices(X1)=>(((((((~(v2_struct_0(X1))&v4_lattices(X1))&v6_lattices(X1))&v7_robbins1(X1))&v5_sheffer1(X1))&v1_latwal_1(X1))&v2_latwal_1(X1))=>(((((((~(v2_struct_0(X1))&v4_lattices(X1))&v6_lattices(X1))&v8_lattices(X1))&v7_robbins1(X1))&v5_sheffer1(X1))&v1_latwal_1(X1))&v2_latwal_1(X1)))), file('latwal_2/latwal_2__t36_latwal_2', cc6_latwal_1)).
fof(redefinition_k3_latwal_2, axiom, ![X1]:((((((((~(v2_struct_0(X1))&v4_lattices(X1))&v6_lattices(X1))&v7_robbins1(X1))&v5_sheffer1(X1))&v1_latwal_1(X1))&v2_latwal_1(X1))&l3_lattices(X1))=>k3_latwal_2(X1)=k1_lattad_1(X1)), file('latwal_2/latwal_2__t36_latwal_2', redefinition_k3_latwal_2)).
fof(cc2_latwal_1, axiom, ![X1]:(l3_lattices(X1)=>(((((~(v2_struct_0(X1))&v4_lattices(X1))&v6_lattices(X1))&v5_sheffer1(X1))&v1_latwal_1(X1))=>(~(v2_struct_0(X1))&v9_lattices(X1)))), file('latwal_2/latwal_2__t36_latwal_2', cc2_latwal_1)).
fof(d6_lattad_1, axiom, ![X1]:((~(v2_struct_0(X1))&l3_lattices(X1))=>k1_lattad_1(X1)=a_1_0_lattad_1(X1)), file('latwal_2/latwal_2__t36_latwal_2', d6_lattad_1)).
fof(fraenkel_a_1_0_lattad_1, axiom, ![X1, X2]:((~(v2_struct_0(X2))&l3_lattices(X2))=>(r2_hidden(X1,a_1_0_lattad_1(X2))<=>?[X3, X4]:(((m1_subset_1(X3,u1_struct_0(X2))&m1_subset_1(X4,u1_struct_0(X2)))&X1=k4_tarski(X3,X4))&r1_lattices(X2,X3,X4)))), file('latwal_2/latwal_2__t36_latwal_2', fraenkel_a_1_0_lattad_1)).
fof(d5_orders_2, axiom, ![X1]:(l1_orders_2(X1)=>![X2]:(m1_subset_1(X2,u1_struct_0(X1))=>![X3]:(m1_subset_1(X3,u1_struct_0(X1))=>(r1_orders_2(X1,X2,X3)<=>r2_hidden(k4_tarski(X2,X3),u1_orders_2(X1)))))), file('latwal_2/latwal_2__t36_latwal_2', d5_orders_2)).
fof(redefinition_r3_orders_2, axiom, ![X1, X2, X3]:(((((~(v2_struct_0(X1))&v3_orders_2(X1))&l1_orders_2(X1))&m1_subset_1(X2,u1_struct_0(X1)))&m1_subset_1(X3,u1_struct_0(X1)))=>(r3_orders_2(X1,X2,X3)<=>r1_orders_2(X1,X2,X3))), file('latwal_2/latwal_2__t36_latwal_2', redefinition_r3_orders_2)).
fof(t1_xtuple_0, axiom, ![X1, X2, X3, X4]:(k4_tarski(X1,X2)=k4_tarski(X3,X4)=>(X1=X3&X2=X4)), file('latwal_2/latwal_2__t36_latwal_2', t1_xtuple_0)).
fof(c_0_15, plain, ![X1]:(l1_orders_2(X1)=>((((v1_lattice3(X1)&v2_lattice3(X1))&v3_orders_2(X1))&v5_orders_2(X1))=>![X2]:(((((((((~v2_struct_0(X2)&v3_lattices(X2))&v4_lattices(X2))&v6_lattices(X2))&v7_robbins1(X2))&v5_sheffer1(X2))&v1_latwal_1(X2))&v2_latwal_1(X2))&l3_lattices(X2))=>(X2=k7_latwal_2(X1)<=>g1_orders_2(u1_struct_0(X1),u1_orders_2(X1))=k4_latwal_2(X2))))), inference(fof_simplification,[status(thm)],[d8_latwal_2])).
fof(c_0_16, plain, ![X1]:(l1_orders_2(X1)=>((((((((~v2_struct_0(k7_latwal_2(X1))&v3_lattices(k7_latwal_2(X1)))&v4_lattices(k7_latwal_2(X1)))&v6_lattices(k7_latwal_2(X1)))&v7_robbins1(k7_latwal_2(X1)))&v5_sheffer1(k7_latwal_2(X1)))&v1_latwal_1(k7_latwal_2(X1)))&v2_latwal_1(k7_latwal_2(X1)))&l3_lattices(k7_latwal_2(X1)))), inference(fof_simplification,[status(thm)],[dt_k7_latwal_2])).
fof(c_0_17, plain, ![X63, X64, X65, X66]:((X63=X65|g1_orders_2(X63,X64)!=g1_orders_2(X65,X66)|~m1_subset_1(X64,k1_zfmisc_1(k2_zfmisc_1(X63,X63))))&(X64=X66|g1_orders_2(X63,X64)!=g1_orders_2(X65,X66)|~m1_subset_1(X64,k1_zfmisc_1(k2_zfmisc_1(X63,X63))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[free_g1_orders_2])])])])).
fof(c_0_18, plain, ![X56]:(~l1_orders_2(X56)|m1_subset_1(u1_orders_2(X56),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X56),u1_struct_0(X56))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_u1_orders_2])])).
fof(c_0_19, plain, ![X53, X54]:((X54!=k7_latwal_2(X53)|g1_orders_2(u1_struct_0(X53),u1_orders_2(X53))=k4_latwal_2(X54)|(v2_struct_0(X54)|~v3_lattices(X54)|~v4_lattices(X54)|~v6_lattices(X54)|~v7_robbins1(X54)|~v5_sheffer1(X54)|~v1_latwal_1(X54)|~v2_latwal_1(X54)|~l3_lattices(X54))|(~v1_lattice3(X53)|~v2_lattice3(X53)|~v3_orders_2(X53)|~v5_orders_2(X53))|~l1_orders_2(X53))&(g1_orders_2(u1_struct_0(X53),u1_orders_2(X53))!=k4_latwal_2(X54)|X54=k7_latwal_2(X53)|(v2_struct_0(X54)|~v3_lattices(X54)|~v4_lattices(X54)|~v6_lattices(X54)|~v7_robbins1(X54)|~v5_sheffer1(X54)|~v1_latwal_1(X54)|~v2_latwal_1(X54)|~l3_lattices(X54))|(~v1_lattice3(X53)|~v2_lattice3(X53)|~v3_orders_2(X53)|~v5_orders_2(X53))|~l1_orders_2(X53))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_15])])])])).
fof(c_0_20, plain, ![X55]:(((((((((~v2_struct_0(k7_latwal_2(X55))|~l1_orders_2(X55))&(v3_lattices(k7_latwal_2(X55))|~l1_orders_2(X55)))&(v4_lattices(k7_latwal_2(X55))|~l1_orders_2(X55)))&(v6_lattices(k7_latwal_2(X55))|~l1_orders_2(X55)))&(v7_robbins1(k7_latwal_2(X55))|~l1_orders_2(X55)))&(v5_sheffer1(k7_latwal_2(X55))|~l1_orders_2(X55)))&(v1_latwal_1(k7_latwal_2(X55))|~l1_orders_2(X55)))&(v2_latwal_1(k7_latwal_2(X55))|~l1_orders_2(X55)))&(l3_lattices(k7_latwal_2(X55))|~l1_orders_2(X55))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_16])])])).
fof(c_0_21, plain, ![X1]:((((((((~v2_struct_0(X1)&v4_lattices(X1))&v6_lattices(X1))&v7_robbins1(X1))&v5_sheffer1(X1))&v1_latwal_1(X1))&v2_latwal_1(X1))&l3_lattices(X1))=>k4_latwal_2(X1)=g1_orders_2(u1_struct_0(X1),k3_latwal_2(X1))), inference(fof_simplification,[status(thm)],[d5_latwal_2])).
cnf(c_0_22, plain, (X1=X2|g1_orders_2(X3,X1)!=g1_orders_2(X4,X2)|~m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X3,X3)))), inference(split_conjunct,[status(thm)],[c_0_17])).
cnf(c_0_23, plain, (m1_subset_1(u1_orders_2(X1),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1))))|~l1_orders_2(X1)), inference(split_conjunct,[status(thm)],[c_0_18])).
cnf(c_0_24, plain, (g1_orders_2(u1_struct_0(X2),u1_orders_2(X2))=k4_latwal_2(X1)|v2_struct_0(X1)|X1!=k7_latwal_2(X2)|~v3_lattices(X1)|~v4_lattices(X1)|~v6_lattices(X1)|~v7_robbins1(X1)|~v5_sheffer1(X1)|~v1_latwal_1(X1)|~v2_latwal_1(X1)|~l3_lattices(X1)|~v1_lattice3(X2)|~v2_lattice3(X2)|~v3_orders_2(X2)|~v5_orders_2(X2)|~l1_orders_2(X2)), inference(split_conjunct,[status(thm)],[c_0_19])).
cnf(c_0_25, plain, (l3_lattices(k7_latwal_2(X1))|~l1_orders_2(X1)), inference(split_conjunct,[status(thm)],[c_0_20])).
cnf(c_0_26, plain, (v4_lattices(k7_latwal_2(X1))|~l1_orders_2(X1)), inference(split_conjunct,[status(thm)],[c_0_20])).
cnf(c_0_27, plain, (v6_lattices(k7_latwal_2(X1))|~l1_orders_2(X1)), inference(split_conjunct,[status(thm)],[c_0_20])).
cnf(c_0_28, plain, (v5_sheffer1(k7_latwal_2(X1))|~l1_orders_2(X1)), inference(split_conjunct,[status(thm)],[c_0_20])).
cnf(c_0_29, plain, (v1_latwal_1(k7_latwal_2(X1))|~l1_orders_2(X1)), inference(split_conjunct,[status(thm)],[c_0_20])).
cnf(c_0_30, plain, (v7_robbins1(k7_latwal_2(X1))|~l1_orders_2(X1)), inference(split_conjunct,[status(thm)],[c_0_20])).
cnf(c_0_31, plain, (v2_latwal_1(k7_latwal_2(X1))|~l1_orders_2(X1)), inference(split_conjunct,[status(thm)],[c_0_20])).
cnf(c_0_32, plain, (v3_lattices(k7_latwal_2(X1))|~l1_orders_2(X1)), inference(split_conjunct,[status(thm)],[c_0_20])).
cnf(c_0_33, plain, (~v2_struct_0(k7_latwal_2(X1))|~l1_orders_2(X1)), inference(split_conjunct,[status(thm)],[c_0_20])).
fof(c_0_34, plain, ![X48]:(v2_struct_0(X48)|~v4_lattices(X48)|~v6_lattices(X48)|~v7_robbins1(X48)|~v5_sheffer1(X48)|~v1_latwal_1(X48)|~v2_latwal_1(X48)|~l3_lattices(X48)|k4_latwal_2(X48)=g1_orders_2(u1_struct_0(X48),k3_latwal_2(X48))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_21])])).
fof(c_0_35, plain, ![X1, X2, X3]:(((((((~v2_struct_0(X1)&v6_lattices(X1))&v8_lattices(X1))&v9_lattices(X1))&l3_lattices(X1))&m1_subset_1(X2,u1_struct_0(X1)))&m1_subset_1(X3,u1_struct_0(X1)))=>(r3_lattices(X1,X2,X3)<=>r1_lattices(X1,X2,X3))), inference(fof_simplification,[status(thm)],[redefinition_r3_lattices])).
fof(c_0_36, negated_conjecture, ~(![X1]:((((((~v2_struct_0(X1)&v3_orders_2(X1))&v5_orders_2(X1))&v1_lattice3(X1))&v2_lattice3(X1))&l1_orders_2(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(k7_latwal_2(X1)))=>![X5]:(m1_subset_1(X5,u1_struct_0(k7_latwal_2(X1)))=>((X2=X4&X3=X5)=>(r3_lattices(k7_latwal_2(X1),X4,X5)<=>r3_orders_2(X1,X2,X3))))))))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t36_latwal_2])])).
fof(c_0_37, plain, ![X1]:(l3_lattices(X1)=>(((((((~v2_struct_0(X1)&v4_lattices(X1))&v6_lattices(X1))&v7_robbins1(X1))&v5_sheffer1(X1))&v1_latwal_1(X1))&v2_latwal_1(X1))=>(((((((~v2_struct_0(X1)&v4_lattices(X1))&v6_lattices(X1))&v8_lattices(X1))&v7_robbins1(X1))&v5_sheffer1(X1))&v1_latwal_1(X1))&v2_latwal_1(X1)))), inference(fof_simplification,[status(thm)],[cc6_latwal_1])).
fof(c_0_38, plain, ![X1]:((((((((~v2_struct_0(X1)&v4_lattices(X1))&v6_lattices(X1))&v7_robbins1(X1))&v5_sheffer1(X1))&v1_latwal_1(X1))&v2_latwal_1(X1))&l3_lattices(X1))=>k3_latwal_2(X1)=k1_lattad_1(X1)), inference(fof_simplification,[status(thm)],[redefinition_k3_latwal_2])).
cnf(c_0_39, plain, (u1_orders_2(X1)=X2|g1_orders_2(u1_struct_0(X1),u1_orders_2(X1))!=g1_orders_2(X3,X2)|~l1_orders_2(X1)), inference(spm,[status(thm)],[c_0_22, c_0_23])).
cnf(c_0_40, plain, (g1_orders_2(u1_struct_0(X1),u1_orders_2(X1))=k4_latwal_2(k7_latwal_2(X1))|~l1_orders_2(X1)|~v2_lattice3(X1)|~v1_lattice3(X1)|~v5_orders_2(X1)|~v3_orders_2(X1)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_24]), c_0_25]), c_0_26]), c_0_27]), c_0_28]), c_0_29]), c_0_30]), c_0_31]), c_0_32]), c_0_33])).
cnf(c_0_41, plain, (v2_struct_0(X1)|k4_latwal_2(X1)=g1_orders_2(u1_struct_0(X1),k3_latwal_2(X1))|~v4_lattices(X1)|~v6_lattices(X1)|~v7_robbins1(X1)|~v5_sheffer1(X1)|~v1_latwal_1(X1)|~v2_latwal_1(X1)|~l3_lattices(X1)), inference(split_conjunct,[status(thm)],[c_0_34])).
fof(c_0_42, plain, ![X68, X69, X70]:((~r3_lattices(X68,X69,X70)|r1_lattices(X68,X69,X70)|(v2_struct_0(X68)|~v6_lattices(X68)|~v8_lattices(X68)|~v9_lattices(X68)|~l3_lattices(X68)|~m1_subset_1(X69,u1_struct_0(X68))|~m1_subset_1(X70,u1_struct_0(X68))))&(~r1_lattices(X68,X69,X70)|r3_lattices(X68,X69,X70)|(v2_struct_0(X68)|~v6_lattices(X68)|~v8_lattices(X68)|~v9_lattices(X68)|~l3_lattices(X68)|~m1_subset_1(X69,u1_struct_0(X68))|~m1_subset_1(X70,u1_struct_0(X68))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_35])])])).
fof(c_0_43, negated_conjecture, ((((((~v2_struct_0(esk1_0)&v3_orders_2(esk1_0))&v5_orders_2(esk1_0))&v1_lattice3(esk1_0))&v2_lattice3(esk1_0))&l1_orders_2(esk1_0))&(m1_subset_1(esk2_0,u1_struct_0(esk1_0))&(m1_subset_1(esk3_0,u1_struct_0(esk1_0))&(m1_subset_1(esk4_0,u1_struct_0(k7_latwal_2(esk1_0)))&(m1_subset_1(esk5_0,u1_struct_0(k7_latwal_2(esk1_0)))&((esk2_0=esk4_0&esk3_0=esk5_0)&((~r3_lattices(k7_latwal_2(esk1_0),esk4_0,esk5_0)|~r3_orders_2(esk1_0,esk2_0,esk3_0))&(r3_lattices(k7_latwal_2(esk1_0),esk4_0,esk5_0)|r3_orders_2(esk1_0,esk2_0,esk3_0))))))))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_36])])])).
fof(c_0_44, plain, ![X47]:((((((((~v2_struct_0(X47)|(v2_struct_0(X47)|~v4_lattices(X47)|~v6_lattices(X47)|~v7_robbins1(X47)|~v5_sheffer1(X47)|~v1_latwal_1(X47)|~v2_latwal_1(X47))|~l3_lattices(X47))&(v4_lattices(X47)|(v2_struct_0(X47)|~v4_lattices(X47)|~v6_lattices(X47)|~v7_robbins1(X47)|~v5_sheffer1(X47)|~v1_latwal_1(X47)|~v2_latwal_1(X47))|~l3_lattices(X47)))&(v6_lattices(X47)|(v2_struct_0(X47)|~v4_lattices(X47)|~v6_lattices(X47)|~v7_robbins1(X47)|~v5_sheffer1(X47)|~v1_latwal_1(X47)|~v2_latwal_1(X47))|~l3_lattices(X47)))&(v8_lattices(X47)|(v2_struct_0(X47)|~v4_lattices(X47)|~v6_lattices(X47)|~v7_robbins1(X47)|~v5_sheffer1(X47)|~v1_latwal_1(X47)|~v2_latwal_1(X47))|~l3_lattices(X47)))&(v7_robbins1(X47)|(v2_struct_0(X47)|~v4_lattices(X47)|~v6_lattices(X47)|~v7_robbins1(X47)|~v5_sheffer1(X47)|~v1_latwal_1(X47)|~v2_latwal_1(X47))|~l3_lattices(X47)))&(v5_sheffer1(X47)|(v2_struct_0(X47)|~v4_lattices(X47)|~v6_lattices(X47)|~v7_robbins1(X47)|~v5_sheffer1(X47)|~v1_latwal_1(X47)|~v2_latwal_1(X47))|~l3_lattices(X47)))&(v1_latwal_1(X47)|(v2_struct_0(X47)|~v4_lattices(X47)|~v6_lattices(X47)|~v7_robbins1(X47)|~v5_sheffer1(X47)|~v1_latwal_1(X47)|~v2_latwal_1(X47))|~l3_lattices(X47)))&(v2_latwal_1(X47)|(v2_struct_0(X47)|~v4_lattices(X47)|~v6_lattices(X47)|~v7_robbins1(X47)|~v5_sheffer1(X47)|~v1_latwal_1(X47)|~v2_latwal_1(X47))|~l3_lattices(X47))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_37])])])).
fof(c_0_45, plain, ![X1]:(l3_lattices(X1)=>(((((~v2_struct_0(X1)&v4_lattices(X1))&v6_lattices(X1))&v5_sheffer1(X1))&v1_latwal_1(X1))=>(~v2_struct_0(X1)&v9_lattices(X1)))), inference(fof_simplification,[status(thm)],[cc2_latwal_1])).
fof(c_0_46, plain, ![X1]:((~v2_struct_0(X1)&l3_lattices(X1))=>k1_lattad_1(X1)=a_1_0_lattad_1(X1)), inference(fof_simplification,[status(thm)],[d6_lattad_1])).
fof(c_0_47, plain, ![X67]:(v2_struct_0(X67)|~v4_lattices(X67)|~v6_lattices(X67)|~v7_robbins1(X67)|~v5_sheffer1(X67)|~v1_latwal_1(X67)|~v2_latwal_1(X67)|~l3_lattices(X67)|k3_latwal_2(X67)=k1_lattad_1(X67)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_38])])).
cnf(c_0_48, plain, (u1_orders_2(X1)=X2|k4_latwal_2(k7_latwal_2(X1))!=g1_orders_2(X3,X2)|~l1_orders_2(X1)|~v2_lattice3(X1)|~v1_lattice3(X1)|~v5_orders_2(X1)|~v3_orders_2(X1)), inference(spm,[status(thm)],[c_0_39, c_0_40])).
cnf(c_0_49, plain, (g1_orders_2(u1_struct_0(k7_latwal_2(X1)),k3_latwal_2(k7_latwal_2(X1)))=k4_latwal_2(k7_latwal_2(X1))|~l1_orders_2(X1)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_41, c_0_31]), c_0_25]), c_0_26]), c_0_27]), c_0_28]), c_0_29]), c_0_30]), c_0_33])).
cnf(c_0_50, plain, (r1_lattices(X1,X2,X3)|v2_struct_0(X1)|~r3_lattices(X1,X2,X3)|~v6_lattices(X1)|~v8_lattices(X1)|~v9_lattices(X1)|~l3_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_42])).
cnf(c_0_51, negated_conjecture, (m1_subset_1(esk5_0,u1_struct_0(k7_latwal_2(esk1_0)))), inference(split_conjunct,[status(thm)],[c_0_43])).
cnf(c_0_52, plain, (v8_lattices(X1)|v2_struct_0(X1)|~v4_lattices(X1)|~v6_lattices(X1)|~v7_robbins1(X1)|~v5_sheffer1(X1)|~v1_latwal_1(X1)|~v2_latwal_1(X1)|~l3_lattices(X1)), inference(split_conjunct,[status(thm)],[c_0_44])).
fof(c_0_53, plain, ![X46]:((~v2_struct_0(X46)|(v2_struct_0(X46)|~v4_lattices(X46)|~v6_lattices(X46)|~v5_sheffer1(X46)|~v1_latwal_1(X46))|~l3_lattices(X46))&(v9_lattices(X46)|(v2_struct_0(X46)|~v4_lattices(X46)|~v6_lattices(X46)|~v5_sheffer1(X46)|~v1_latwal_1(X46))|~l3_lattices(X46))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_45])])])).
fof(c_0_54, plain, ![X52]:(v2_struct_0(X52)|~l3_lattices(X52)|k1_lattad_1(X52)=a_1_0_lattad_1(X52)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_46])])).
cnf(c_0_55, plain, (v2_struct_0(X1)|k3_latwal_2(X1)=k1_lattad_1(X1)|~v4_lattices(X1)|~v6_lattices(X1)|~v7_robbins1(X1)|~v5_sheffer1(X1)|~v1_latwal_1(X1)|~v2_latwal_1(X1)|~l3_lattices(X1)), inference(split_conjunct,[status(thm)],[c_0_47])).
cnf(c_0_56, plain, (u1_orders_2(X1)=k3_latwal_2(k7_latwal_2(X2))|k4_latwal_2(k7_latwal_2(X1))!=k4_latwal_2(k7_latwal_2(X2))|~l1_orders_2(X1)|~l1_orders_2(X2)|~v2_lattice3(X1)|~v1_lattice3(X1)|~v5_orders_2(X1)|~v3_orders_2(X1)), inference(spm,[status(thm)],[c_0_48, c_0_49])).
cnf(c_0_57, negated_conjecture, (l1_orders_2(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_43])).
cnf(c_0_58, negated_conjecture, (v2_lattice3(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_43])).
cnf(c_0_59, negated_conjecture, (v1_lattice3(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_43])).
cnf(c_0_60, negated_conjecture, (v5_orders_2(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_43])).
cnf(c_0_61, negated_conjecture, (v3_orders_2(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_43])).
fof(c_0_62, plain, ![X1, X2]:((~v2_struct_0(X2)&l3_lattices(X2))=>(r2_hidden(X1,a_1_0_lattad_1(X2))<=>?[X3, X4]:(((m1_subset_1(X3,u1_struct_0(X2))&m1_subset_1(X4,u1_struct_0(X2)))&X1=k4_tarski(X3,X4))&r1_lattices(X2,X3,X4)))), inference(fof_simplification,[status(thm)],[fraenkel_a_1_0_lattad_1])).
cnf(c_0_63, negated_conjecture, (r1_lattices(k7_latwal_2(esk1_0),X1,esk5_0)|v2_struct_0(k7_latwal_2(esk1_0))|~v8_lattices(k7_latwal_2(esk1_0))|~v9_lattices(k7_latwal_2(esk1_0))|~v6_lattices(k7_latwal_2(esk1_0))|~l3_lattices(k7_latwal_2(esk1_0))|~r3_lattices(k7_latwal_2(esk1_0),X1,esk5_0)|~m1_subset_1(X1,u1_struct_0(k7_latwal_2(esk1_0)))), inference(spm,[status(thm)],[c_0_50, c_0_51])).
cnf(c_0_64, plain, (v8_lattices(k7_latwal_2(X1))|~l1_orders_2(X1)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_52, c_0_31]), c_0_25]), c_0_26]), c_0_27]), c_0_28]), c_0_29]), c_0_30]), c_0_33])).
cnf(c_0_65, plain, (v9_lattices(X1)|v2_struct_0(X1)|~v4_lattices(X1)|~v6_lattices(X1)|~v5_sheffer1(X1)|~v1_latwal_1(X1)|~l3_lattices(X1)), inference(split_conjunct,[status(thm)],[c_0_53])).
cnf(c_0_66, plain, (v2_struct_0(X1)|k1_lattad_1(X1)=a_1_0_lattad_1(X1)|~l3_lattices(X1)), inference(split_conjunct,[status(thm)],[c_0_54])).
cnf(c_0_67, plain, (k3_latwal_2(k7_latwal_2(X1))=k1_lattad_1(k7_latwal_2(X1))|~l1_orders_2(X1)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_55, c_0_31]), c_0_25]), c_0_26]), c_0_27]), c_0_28]), c_0_29]), c_0_30]), c_0_33])).
cnf(c_0_68, negated_conjecture, (k3_latwal_2(k7_latwal_2(X1))=u1_orders_2(esk1_0)|k4_latwal_2(k7_latwal_2(esk1_0))!=k4_latwal_2(k7_latwal_2(X1))|~l1_orders_2(X1)), 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_56, c_0_57]), c_0_58]), c_0_59]), c_0_60]), c_0_61])])).
fof(c_0_69, plain, ![X57, X58, X61, X62]:(((((m1_subset_1(esk6_2(X57,X58),u1_struct_0(X58))|~r2_hidden(X57,a_1_0_lattad_1(X58))|(v2_struct_0(X58)|~l3_lattices(X58)))&(m1_subset_1(esk7_2(X57,X58),u1_struct_0(X58))|~r2_hidden(X57,a_1_0_lattad_1(X58))|(v2_struct_0(X58)|~l3_lattices(X58))))&(X57=k4_tarski(esk6_2(X57,X58),esk7_2(X57,X58))|~r2_hidden(X57,a_1_0_lattad_1(X58))|(v2_struct_0(X58)|~l3_lattices(X58))))&(r1_lattices(X58,esk6_2(X57,X58),esk7_2(X57,X58))|~r2_hidden(X57,a_1_0_lattad_1(X58))|(v2_struct_0(X58)|~l3_lattices(X58))))&(~m1_subset_1(X61,u1_struct_0(X58))|~m1_subset_1(X62,u1_struct_0(X58))|X57!=k4_tarski(X61,X62)|~r1_lattices(X58,X61,X62)|r2_hidden(X57,a_1_0_lattad_1(X58))|(v2_struct_0(X58)|~l3_lattices(X58)))), 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_62])])])])])).
cnf(c_0_70, negated_conjecture, (r1_lattices(k7_latwal_2(esk1_0),X1,esk5_0)|v2_struct_0(k7_latwal_2(esk1_0))|~v9_lattices(k7_latwal_2(esk1_0))|~v6_lattices(k7_latwal_2(esk1_0))|~l3_lattices(k7_latwal_2(esk1_0))|~r3_lattices(k7_latwal_2(esk1_0),X1,esk5_0)|~m1_subset_1(X1,u1_struct_0(k7_latwal_2(esk1_0)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63, c_0_64]), c_0_57])])).
cnf(c_0_71, plain, (v9_lattices(k7_latwal_2(X1))|~l1_orders_2(X1)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_65, c_0_29]), c_0_25]), c_0_26]), c_0_27]), c_0_28]), c_0_33])).
cnf(c_0_72, plain, (k1_lattad_1(k7_latwal_2(X1))=a_1_0_lattad_1(k7_latwal_2(X1))|~l1_orders_2(X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_66, c_0_25]), c_0_33])).
cnf(c_0_73, negated_conjecture, (k1_lattad_1(k7_latwal_2(X1))=u1_orders_2(esk1_0)|k4_latwal_2(k7_latwal_2(esk1_0))!=k4_latwal_2(k7_latwal_2(X1))|~l1_orders_2(X1)), inference(spm,[status(thm)],[c_0_67, c_0_68])).
cnf(c_0_74, plain, (r2_hidden(X4,a_1_0_lattad_1(X2))|v2_struct_0(X2)|~m1_subset_1(X1,u1_struct_0(X2))|~m1_subset_1(X3,u1_struct_0(X2))|X4!=k4_tarski(X1,X3)|~r1_lattices(X2,X1,X3)|~l3_lattices(X2)), inference(split_conjunct,[status(thm)],[c_0_69])).
cnf(c_0_75, negated_conjecture, (r1_lattices(k7_latwal_2(esk1_0),X1,esk5_0)|v2_struct_0(k7_latwal_2(esk1_0))|~v6_lattices(k7_latwal_2(esk1_0))|~l3_lattices(k7_latwal_2(esk1_0))|~r3_lattices(k7_latwal_2(esk1_0),X1,esk5_0)|~m1_subset_1(X1,u1_struct_0(k7_latwal_2(esk1_0)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70, c_0_71]), c_0_57])])).
cnf(c_0_76, negated_conjecture, (a_1_0_lattad_1(k7_latwal_2(X1))=u1_orders_2(esk1_0)|k4_latwal_2(k7_latwal_2(esk1_0))!=k4_latwal_2(k7_latwal_2(X1))|~l1_orders_2(X1)), inference(spm,[status(thm)],[c_0_72, c_0_73])).
cnf(c_0_77, plain, (r2_hidden(k4_tarski(X1,X2),a_1_0_lattad_1(X3))|v2_struct_0(X3)|~r1_lattices(X3,X1,X2)|~l3_lattices(X3)|~m1_subset_1(X2,u1_struct_0(X3))|~m1_subset_1(X1,u1_struct_0(X3))), inference(er,[status(thm)],[c_0_74])).
cnf(c_0_78, negated_conjecture, (r1_lattices(k7_latwal_2(esk1_0),X1,esk5_0)|v2_struct_0(k7_latwal_2(esk1_0))|~l3_lattices(k7_latwal_2(esk1_0))|~r3_lattices(k7_latwal_2(esk1_0),X1,esk5_0)|~m1_subset_1(X1,u1_struct_0(k7_latwal_2(esk1_0)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75, c_0_27]), c_0_57])])).
cnf(c_0_79, negated_conjecture, (r3_lattices(k7_latwal_2(esk1_0),esk4_0,esk5_0)|r3_orders_2(esk1_0,esk2_0,esk3_0)), inference(split_conjunct,[status(thm)],[c_0_43])).
cnf(c_0_80, negated_conjecture, (esk3_0=esk5_0), inference(split_conjunct,[status(thm)],[c_0_43])).
cnf(c_0_81, negated_conjecture, (esk2_0=esk4_0), inference(split_conjunct,[status(thm)],[c_0_43])).
cnf(c_0_82, negated_conjecture, (m1_subset_1(esk4_0,u1_struct_0(k7_latwal_2(esk1_0)))), inference(split_conjunct,[status(thm)],[c_0_43])).
cnf(c_0_83, plain, (r1_lattices(X1,esk6_2(X2,X1),esk7_2(X2,X1))|v2_struct_0(X1)|~r2_hidden(X2,a_1_0_lattad_1(X1))|~l3_lattices(X1)), inference(split_conjunct,[status(thm)],[c_0_69])).
cnf(c_0_84, negated_conjecture, (a_1_0_lattad_1(k7_latwal_2(esk1_0))=u1_orders_2(esk1_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_76]), c_0_57])])).
cnf(c_0_85, negated_conjecture, (r2_hidden(k4_tarski(X1,esk5_0),a_1_0_lattad_1(k7_latwal_2(esk1_0)))|v2_struct_0(k7_latwal_2(esk1_0))|~r1_lattices(k7_latwal_2(esk1_0),X1,esk5_0)|~l3_lattices(k7_latwal_2(esk1_0))|~m1_subset_1(X1,u1_struct_0(k7_latwal_2(esk1_0)))), inference(spm,[status(thm)],[c_0_77, c_0_51])).
cnf(c_0_86, negated_conjecture, (r1_lattices(k7_latwal_2(esk1_0),X1,esk5_0)|v2_struct_0(k7_latwal_2(esk1_0))|~r3_lattices(k7_latwal_2(esk1_0),X1,esk5_0)|~m1_subset_1(X1,u1_struct_0(k7_latwal_2(esk1_0)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78, c_0_25]), c_0_57])])).
cnf(c_0_87, negated_conjecture, (r3_orders_2(esk1_0,esk2_0,esk5_0)|r3_lattices(k7_latwal_2(esk1_0),esk2_0,esk5_0)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_79, c_0_80]), c_0_81])).
cnf(c_0_88, negated_conjecture, (m1_subset_1(esk2_0,u1_struct_0(k7_latwal_2(esk1_0)))), inference(rw,[status(thm)],[c_0_82, c_0_81])).
cnf(c_0_89, plain, (g1_orders_2(u1_struct_0(k7_latwal_2(X1)),k1_lattad_1(k7_latwal_2(X1)))=k4_latwal_2(k7_latwal_2(X1))|~l1_orders_2(X1)), inference(spm,[status(thm)],[c_0_49, c_0_67])).
cnf(c_0_90, negated_conjecture, (r1_lattices(k7_latwal_2(esk1_0),esk6_2(X1,k7_latwal_2(esk1_0)),esk7_2(X1,k7_latwal_2(esk1_0)))|v2_struct_0(k7_latwal_2(esk1_0))|~r2_hidden(X1,u1_orders_2(esk1_0))|~l3_lattices(k7_latwal_2(esk1_0))), inference(spm,[status(thm)],[c_0_83, c_0_84])).
fof(c_0_91, plain, ![X49, X50, X51]:((~r1_orders_2(X49,X50,X51)|r2_hidden(k4_tarski(X50,X51),u1_orders_2(X49))|~m1_subset_1(X51,u1_struct_0(X49))|~m1_subset_1(X50,u1_struct_0(X49))|~l1_orders_2(X49))&(~r2_hidden(k4_tarski(X50,X51),u1_orders_2(X49))|r1_orders_2(X49,X50,X51)|~m1_subset_1(X51,u1_struct_0(X49))|~m1_subset_1(X50,u1_struct_0(X49))|~l1_orders_2(X49))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d5_orders_2])])])])).
fof(c_0_92, plain, ![X1, X2, X3]:(((((~v2_struct_0(X1)&v3_orders_2(X1))&l1_orders_2(X1))&m1_subset_1(X2,u1_struct_0(X1)))&m1_subset_1(X3,u1_struct_0(X1)))=>(r3_orders_2(X1,X2,X3)<=>r1_orders_2(X1,X2,X3))), inference(fof_simplification,[status(thm)],[redefinition_r3_orders_2])).
cnf(c_0_93, negated_conjecture, (r2_hidden(k4_tarski(X1,esk5_0),a_1_0_lattad_1(k7_latwal_2(esk1_0)))|v2_struct_0(k7_latwal_2(esk1_0))|~r1_lattices(k7_latwal_2(esk1_0),X1,esk5_0)|~m1_subset_1(X1,u1_struct_0(k7_latwal_2(esk1_0)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85, c_0_25]), c_0_57])])).
cnf(c_0_94, negated_conjecture, (r1_lattices(k7_latwal_2(esk1_0),esk2_0,esk5_0)|r3_orders_2(esk1_0,esk2_0,esk5_0)|v2_struct_0(k7_latwal_2(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86, c_0_87]), c_0_88])])).
cnf(c_0_95, plain, (g1_orders_2(u1_struct_0(k7_latwal_2(X1)),a_1_0_lattad_1(k7_latwal_2(X1)))=k4_latwal_2(k7_latwal_2(X1))|~l1_orders_2(X1)), inference(spm,[status(thm)],[c_0_89, c_0_72])).
cnf(c_0_96, negated_conjecture, (r1_lattices(k7_latwal_2(esk1_0),esk6_2(X1,k7_latwal_2(esk1_0)),esk7_2(X1,k7_latwal_2(esk1_0)))|v2_struct_0(k7_latwal_2(esk1_0))|~r2_hidden(X1,u1_orders_2(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90, c_0_25]), c_0_57])])).
cnf(c_0_97, plain, (r2_hidden(k4_tarski(X2,X3),u1_orders_2(X1))|~r1_orders_2(X1,X2,X3)|~m1_subset_1(X3,u1_struct_0(X1))|~m1_subset_1(X2,u1_struct_0(X1))|~l1_orders_2(X1)), inference(split_conjunct,[status(thm)],[c_0_91])).
cnf(c_0_98, negated_conjecture, (m1_subset_1(esk3_0,u1_struct_0(esk1_0))), inference(split_conjunct,[status(thm)],[c_0_43])).
fof(c_0_99, plain, ![X71, X72, X73]:((~r3_orders_2(X71,X72,X73)|r1_orders_2(X71,X72,X73)|(v2_struct_0(X71)|~v3_orders_2(X71)|~l1_orders_2(X71)|~m1_subset_1(X72,u1_struct_0(X71))|~m1_subset_1(X73,u1_struct_0(X71))))&(~r1_orders_2(X71,X72,X73)|r3_orders_2(X71,X72,X73)|(v2_struct_0(X71)|~v3_orders_2(X71)|~l1_orders_2(X71)|~m1_subset_1(X72,u1_struct_0(X71))|~m1_subset_1(X73,u1_struct_0(X71))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_92])])])).
cnf(c_0_100, negated_conjecture, (r2_hidden(k4_tarski(esk2_0,esk5_0),a_1_0_lattad_1(k7_latwal_2(esk1_0)))|r3_orders_2(esk1_0,esk2_0,esk5_0)|v2_struct_0(k7_latwal_2(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93, c_0_94]), c_0_88])])).
cnf(c_0_101, plain, (u1_orders_2(X1)=a_1_0_lattad_1(k7_latwal_2(X2))|k4_latwal_2(k7_latwal_2(X1))!=k4_latwal_2(k7_latwal_2(X2))|~l1_orders_2(X1)|~l1_orders_2(X2)|~v2_lattice3(X1)|~v1_lattice3(X1)|~v5_orders_2(X1)|~v3_orders_2(X1)), inference(spm,[status(thm)],[c_0_48, c_0_95])).
cnf(c_0_102, negated_conjecture, (r1_lattices(k7_latwal_2(esk1_0),esk6_2(k4_tarski(X1,X2),k7_latwal_2(esk1_0)),esk7_2(k4_tarski(X1,X2),k7_latwal_2(esk1_0)))|v2_struct_0(k7_latwal_2(esk1_0))|~r1_orders_2(esk1_0,X1,X2)|~m1_subset_1(X2,u1_struct_0(esk1_0))|~m1_subset_1(X1,u1_struct_0(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96, c_0_97]), c_0_57])])).
cnf(c_0_103, negated_conjecture, (m1_subset_1(esk5_0,u1_struct_0(esk1_0))), inference(rw,[status(thm)],[c_0_98, c_0_80])).
cnf(c_0_104, plain, (r1_orders_2(X1,X2,X3)|v2_struct_0(X1)|~r3_orders_2(X1,X2,X3)|~v3_orders_2(X1)|~l1_orders_2(X1)|~m1_subset_1(X2,u1_struct_0(X1))|~m1_subset_1(X3,u1_struct_0(X1))), inference(split_conjunct,[status(thm)],[c_0_99])).
cnf(c_0_105, negated_conjecture, (~v2_struct_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_43])).
cnf(c_0_106, plain, (r3_orders_2(X1,X2,X3)|v2_struct_0(X1)|~r1_orders_2(X1,X2,X3)|~v3_orders_2(X1)|~l1_orders_2(X1)|~m1_subset_1(X2,u1_struct_0(X1))|~m1_subset_1(X3,u1_struct_0(X1))), inference(split_conjunct,[status(thm)],[c_0_99])).
cnf(c_0_107, plain, (r1_orders_2(X3,X1,X2)|~r2_hidden(k4_tarski(X1,X2),u1_orders_2(X3))|~m1_subset_1(X2,u1_struct_0(X3))|~m1_subset_1(X1,u1_struct_0(X3))|~l1_orders_2(X3)), inference(split_conjunct,[status(thm)],[c_0_91])).
cnf(c_0_108, negated_conjecture, (r2_hidden(k4_tarski(esk2_0,esk5_0),u1_orders_2(esk1_0))|r3_orders_2(esk1_0,esk2_0,esk5_0)|v2_struct_0(k7_latwal_2(esk1_0))), inference(rw,[status(thm)],[c_0_100, c_0_84])).
cnf(c_0_109, negated_conjecture, (m1_subset_1(esk2_0,u1_struct_0(esk1_0))), inference(split_conjunct,[status(thm)],[c_0_43])).
fof(c_0_110, plain, ![X74, X75, X76, X77]:((X74=X76|k4_tarski(X74,X75)!=k4_tarski(X76,X77))&(X75=X77|k4_tarski(X74,X75)!=k4_tarski(X76,X77))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t1_xtuple_0])])])).
cnf(c_0_111, plain, (X1=k4_tarski(esk6_2(X1,X2),esk7_2(X1,X2))|v2_struct_0(X2)|~r2_hidden(X1,a_1_0_lattad_1(X2))|~l3_lattices(X2)), inference(split_conjunct,[status(thm)],[c_0_69])).
cnf(c_0_112, plain, (a_1_0_lattad_1(k7_latwal_2(X1))=u1_orders_2(X1)|~l1_orders_2(X1)|~v2_lattice3(X1)|~v1_lattice3(X1)|~v5_orders_2(X1)|~v3_orders_2(X1)), inference(er,[status(thm)],[c_0_101])).
cnf(c_0_113, plain, (r3_lattices(X1,X2,X3)|v2_struct_0(X1)|~r1_lattices(X1,X2,X3)|~v6_lattices(X1)|~v8_lattices(X1)|~v9_lattices(X1)|~l3_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_42])).
cnf(c_0_114, negated_conjecture, (r1_lattices(k7_latwal_2(esk1_0),esk6_2(k4_tarski(X1,esk5_0),k7_latwal_2(esk1_0)),esk7_2(k4_tarski(X1,esk5_0),k7_latwal_2(esk1_0)))|v2_struct_0(k7_latwal_2(esk1_0))|~r1_orders_2(esk1_0,X1,esk5_0)|~m1_subset_1(X1,u1_struct_0(esk1_0))), inference(spm,[status(thm)],[c_0_102, c_0_103])).
cnf(c_0_115, negated_conjecture, (r1_orders_2(esk1_0,X1,esk5_0)|~r3_orders_2(esk1_0,X1,esk5_0)|~m1_subset_1(X1,u1_struct_0(esk1_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104, c_0_103]), c_0_57]), c_0_61])]), c_0_105])).
cnf(c_0_116, negated_conjecture, (r3_orders_2(esk1_0,X1,esk5_0)|~r1_orders_2(esk1_0,X1,esk5_0)|~m1_subset_1(X1,u1_struct_0(esk1_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106, c_0_103]), c_0_57]), c_0_61])]), c_0_105])).
cnf(c_0_117, negated_conjecture, (r1_orders_2(esk1_0,esk2_0,esk5_0)|r3_orders_2(esk1_0,esk2_0,esk5_0)|v2_struct_0(k7_latwal_2(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107, c_0_108]), c_0_103]), c_0_109]), c_0_57])])).
cnf(c_0_118, plain, (X1=X2|k4_tarski(X3,X1)!=k4_tarski(X4,X2)), inference(split_conjunct,[status(thm)],[c_0_110])).
cnf(c_0_119, plain, (k4_tarski(esk6_2(X1,k7_latwal_2(X2)),esk7_2(X1,k7_latwal_2(X2)))=X1|~r2_hidden(X1,u1_orders_2(X2))|~l1_orders_2(X2)|~v2_lattice3(X2)|~v1_lattice3(X2)|~v5_orders_2(X2)|~v3_orders_2(X2)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_111, c_0_112]), c_0_25]), c_0_33])).
cnf(c_0_120, negated_conjecture, (r3_lattices(k7_latwal_2(esk1_0),X1,esk5_0)|v2_struct_0(k7_latwal_2(esk1_0))|~r1_lattices(k7_latwal_2(esk1_0),X1,esk5_0)|~v8_lattices(k7_latwal_2(esk1_0))|~v9_lattices(k7_latwal_2(esk1_0))|~v6_lattices(k7_latwal_2(esk1_0))|~l3_lattices(k7_latwal_2(esk1_0))|~m1_subset_1(X1,u1_struct_0(k7_latwal_2(esk1_0)))), inference(spm,[status(thm)],[c_0_113, c_0_51])).
cnf(c_0_121, plain, (X1=X2|g1_orders_2(X1,X3)!=g1_orders_2(X2,X4)|~m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X1)))), inference(split_conjunct,[status(thm)],[c_0_17])).
cnf(c_0_122, negated_conjecture, (r1_lattices(k7_latwal_2(esk1_0),esk6_2(k4_tarski(X1,esk5_0),k7_latwal_2(esk1_0)),esk7_2(k4_tarski(X1,esk5_0),k7_latwal_2(esk1_0)))|v2_struct_0(k7_latwal_2(esk1_0))|~r3_orders_2(esk1_0,X1,esk5_0)|~m1_subset_1(X1,u1_struct_0(esk1_0))), inference(spm,[status(thm)],[c_0_114, c_0_115])).
cnf(c_0_123, negated_conjecture, (r3_orders_2(esk1_0,esk2_0,esk5_0)|v2_struct_0(k7_latwal_2(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116, c_0_117]), c_0_109])])).
cnf(c_0_124, plain, (esk7_2(k4_tarski(X1,X2),k7_latwal_2(X3))=X2|~r2_hidden(k4_tarski(X1,X2),u1_orders_2(X3))|~l1_orders_2(X3)|~v2_lattice3(X3)|~v1_lattice3(X3)|~v5_orders_2(X3)|~v3_orders_2(X3)), inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_118, c_0_119])])).
cnf(c_0_125, negated_conjecture, (r3_lattices(k7_latwal_2(esk1_0),X1,esk5_0)|v2_struct_0(k7_latwal_2(esk1_0))|~r1_lattices(k7_latwal_2(esk1_0),X1,esk5_0)|~v9_lattices(k7_latwal_2(esk1_0))|~v6_lattices(k7_latwal_2(esk1_0))|~l3_lattices(k7_latwal_2(esk1_0))|~m1_subset_1(X1,u1_struct_0(k7_latwal_2(esk1_0)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120, c_0_64]), c_0_57])])).
cnf(c_0_126, plain, (u1_struct_0(X1)=X2|g1_orders_2(u1_struct_0(X1),u1_orders_2(X1))!=g1_orders_2(X2,X3)|~l1_orders_2(X1)), inference(spm,[status(thm)],[c_0_121, c_0_23])).
cnf(c_0_127, negated_conjecture, (r1_lattices(k7_latwal_2(esk1_0),esk6_2(k4_tarski(esk2_0,esk5_0),k7_latwal_2(esk1_0)),esk7_2(k4_tarski(esk2_0,esk5_0),k7_latwal_2(esk1_0)))|v2_struct_0(k7_latwal_2(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122, c_0_123]), c_0_109])])).
cnf(c_0_128, plain, (esk7_2(k4_tarski(X1,X2),k7_latwal_2(X3))=X2|~r1_orders_2(X3,X1,X2)|~m1_subset_1(X2,u1_struct_0(X3))|~m1_subset_1(X1,u1_struct_0(X3))|~l1_orders_2(X3)|~v2_lattice3(X3)|~v1_lattice3(X3)|~v5_orders_2(X3)|~v3_orders_2(X3)), inference(spm,[status(thm)],[c_0_124, c_0_97])).
cnf(c_0_129, plain, (X1=X2|k4_tarski(X1,X3)!=k4_tarski(X2,X4)), inference(split_conjunct,[status(thm)],[c_0_110])).
cnf(c_0_130, negated_conjecture, (r3_lattices(k7_latwal_2(esk1_0),X1,esk5_0)|v2_struct_0(k7_latwal_2(esk1_0))|~r1_lattices(k7_latwal_2(esk1_0),X1,esk5_0)|~v6_lattices(k7_latwal_2(esk1_0))|~l3_lattices(k7_latwal_2(esk1_0))|~m1_subset_1(X1,u1_struct_0(k7_latwal_2(esk1_0)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125, c_0_71]), c_0_57])])).
cnf(c_0_131, plain, (u1_struct_0(X1)=X2|k4_latwal_2(k7_latwal_2(X1))!=g1_orders_2(X2,X3)|~l1_orders_2(X1)|~v2_lattice3(X1)|~v1_lattice3(X1)|~v5_orders_2(X1)|~v3_orders_2(X1)), inference(spm,[status(thm)],[c_0_126, c_0_40])).
cnf(c_0_132, negated_conjecture, (g1_orders_2(u1_struct_0(k7_latwal_2(esk1_0)),u1_orders_2(esk1_0))=k4_latwal_2(k7_latwal_2(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95, c_0_84]), c_0_57])])).
cnf(c_0_133, negated_conjecture, (r1_lattices(k7_latwal_2(esk1_0),esk6_2(k4_tarski(esk2_0,esk5_0),k7_latwal_2(esk1_0)),esk5_0)|v2_struct_0(k7_latwal_2(esk1_0))|~r1_orders_2(esk1_0,esk2_0,esk5_0)), 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(spm,[status(thm)],[c_0_127, c_0_128]), c_0_103]), c_0_109]), c_0_57]), c_0_58]), c_0_59]), c_0_60]), c_0_61])])).
cnf(c_0_134, plain, (esk6_2(k4_tarski(X1,X2),k7_latwal_2(X3))=X1|~r2_hidden(k4_tarski(X1,X2),u1_orders_2(X3))|~l1_orders_2(X3)|~v2_lattice3(X3)|~v1_lattice3(X3)|~v5_orders_2(X3)|~v3_orders_2(X3)), inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_129, c_0_119])])).
cnf(c_0_135, negated_conjecture, (r3_lattices(k7_latwal_2(esk1_0),X1,esk5_0)|v2_struct_0(k7_latwal_2(esk1_0))|~r1_lattices(k7_latwal_2(esk1_0),X1,esk5_0)|~l3_lattices(k7_latwal_2(esk1_0))|~m1_subset_1(X1,u1_struct_0(k7_latwal_2(esk1_0)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_130, c_0_27]), c_0_57])])).
cnf(c_0_136, negated_conjecture, (u1_struct_0(X1)=u1_struct_0(k7_latwal_2(esk1_0))|k4_latwal_2(k7_latwal_2(X1))!=k4_latwal_2(k7_latwal_2(esk1_0))|~l1_orders_2(X1)|~v2_lattice3(X1)|~v1_lattice3(X1)|~v5_orders_2(X1)|~v3_orders_2(X1)), inference(spm,[status(thm)],[c_0_131, c_0_132])).
cnf(c_0_137, negated_conjecture, (r1_lattices(k7_latwal_2(esk1_0),esk6_2(k4_tarski(esk2_0,esk5_0),k7_latwal_2(esk1_0)),esk5_0)|v2_struct_0(k7_latwal_2(esk1_0))), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133, c_0_115]), c_0_109])]), c_0_123])).
cnf(c_0_138, plain, (esk6_2(k4_tarski(X1,X2),k7_latwal_2(X3))=X1|~r1_orders_2(X3,X1,X2)|~m1_subset_1(X2,u1_struct_0(X3))|~m1_subset_1(X1,u1_struct_0(X3))|~l1_orders_2(X3)|~v2_lattice3(X3)|~v1_lattice3(X3)|~v5_orders_2(X3)|~v3_orders_2(X3)), inference(spm,[status(thm)],[c_0_134, c_0_97])).
cnf(c_0_139, negated_conjecture, (r3_lattices(k7_latwal_2(esk1_0),X1,esk5_0)|v2_struct_0(k7_latwal_2(esk1_0))|~r1_lattices(k7_latwal_2(esk1_0),X1,esk5_0)|~m1_subset_1(X1,u1_struct_0(k7_latwal_2(esk1_0)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_135, c_0_25]), c_0_57])])).
cnf(c_0_140, negated_conjecture, (u1_struct_0(k7_latwal_2(esk1_0))=u1_struct_0(esk1_0)), 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(er,[status(thm)],[c_0_136]), c_0_57]), c_0_58]), c_0_59]), c_0_60]), c_0_61])])).
cnf(c_0_141, negated_conjecture, (r1_lattices(k7_latwal_2(esk1_0),esk2_0,esk5_0)|v2_struct_0(k7_latwal_2(esk1_0))|~r1_orders_2(esk1_0,esk2_0,esk5_0)), 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(spm,[status(thm)],[c_0_137, c_0_138]), c_0_103]), c_0_109]), c_0_57]), c_0_58]), c_0_59]), c_0_60]), c_0_61])])).
cnf(c_0_142, negated_conjecture, (~r3_lattices(k7_latwal_2(esk1_0),esk4_0,esk5_0)|~r3_orders_2(esk1_0,esk2_0,esk3_0)), inference(split_conjunct,[status(thm)],[c_0_43])).
cnf(c_0_143, negated_conjecture, (r3_lattices(k7_latwal_2(esk1_0),X1,esk5_0)|v2_struct_0(k7_latwal_2(esk1_0))|~r1_lattices(k7_latwal_2(esk1_0),X1,esk5_0)|~m1_subset_1(X1,u1_struct_0(esk1_0))), inference(rw,[status(thm)],[c_0_139, c_0_140])).
cnf(c_0_144, negated_conjecture, (r1_lattices(k7_latwal_2(esk1_0),esk2_0,esk5_0)|v2_struct_0(k7_latwal_2(esk1_0))), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_141, c_0_115]), c_0_109])]), c_0_123])).
cnf(c_0_145, negated_conjecture, (~r3_orders_2(esk1_0,esk2_0,esk5_0)|~r3_lattices(k7_latwal_2(esk1_0),esk2_0,esk5_0)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_142, c_0_80]), c_0_81])).
cnf(c_0_146, negated_conjecture, (r3_lattices(k7_latwal_2(esk1_0),esk2_0,esk5_0)|v2_struct_0(k7_latwal_2(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_143, c_0_144]), c_0_109])])).
cnf(c_0_147, negated_conjecture, (v2_struct_0(k7_latwal_2(esk1_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_145, c_0_146]), c_0_123])).
cnf(c_0_148, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33, c_0_147]), c_0_57])]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 149
# Proof object clause steps            : 108
# Proof object formula steps           : 41
# Proof object conjectures             : 61
# Proof object clause conjectures      : 58
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 43
# Proof object initial formulas used   : 15
# Proof object generating inferences   : 57
# Proof object simplifying inferences  : 134
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 15
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 54
# Removed in clause preprocessing      : 8
# Initial clauses in saturation        : 46
# Processed clauses                    : 431
# ...of these trivial                  : 3
# ...subsumed                          : 88
# ...remaining for further processing  : 340
# Other redundant clauses eliminated   : 6
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 53
# Backward-rewritten                   : 80
# Generated clauses                    : 548
# ...of the previous two non-trivial   : 500
# Contextual simplify-reflections      : 53
# Paramodulations                      : 521
# Factorizations                       : 0
# NegExts                              : 0
# Equation resolutions                 : 27
# 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  : 159
#    Positive orientable unit clauses  : 15
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 1
#    Non-unit-clauses                  : 143
# Current number of unprocessed clauses: 130
# ...number of literals in the above   : 1054
# Current number of archived formulas  : 0
# Current number of archived clauses   : 179
# Clause-clause subsumption calls (NU) : 11746
# Rec. Clause-clause subsumption calls : 1534
# Non-unit clause-clause subsumptions  : 194
# Unit Clause-clause subsumption calls : 15
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 4
# BW rewrite match successes           : 4
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 25850

# -------------------------------------------------
# User time                : 0.041 s
# System time              : 0.000 s
# Total time               : 0.041 s
# Maximum resident set size: 3432 pages
