# No SInE strategy applied
# Trying AutoSched0 for 161 seconds
# AutoSched0-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S2S
# and selection function SelectNewComplexAHP.
#
# Preprocessing time       : 0.020 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(t27_latwal_2, conjecture, ![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))=>![X2]:(m1_subset_1(X2,u1_struct_0(X1))=>![X3]:(m1_subset_1(X3,u1_struct_0(X1))=>(r2_hidden(k4_tarski(X2,X3),k1_lattad_1(X1))<=>r3_lattices(X1,X2,X3))))), file('latwal_2/latwal_2__t27_latwal_2', t27_latwal_2)).
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__t27_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__t27_latwal_2', fraenkel_a_1_0_lattad_1)).
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__t27_latwal_2', cc6_latwal_1)).
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__t27_latwal_2', t1_xtuple_0)).
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__t27_latwal_2', redefinition_r3_lattices)).
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__t27_latwal_2', cc2_latwal_1)).
fof(c_0_7, negated_conjecture, ~(![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))=>![X2]:(m1_subset_1(X2,u1_struct_0(X1))=>![X3]:(m1_subset_1(X3,u1_struct_0(X1))=>(r2_hidden(k4_tarski(X2,X3),k1_lattad_1(X1))<=>r3_lattices(X1,X2,X3)))))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t27_latwal_2])])).
fof(c_0_8, 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_9, 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])).
fof(c_0_10, negated_conjecture, ((((((((~v2_struct_0(esk1_0)&v4_lattices(esk1_0))&v6_lattices(esk1_0))&v7_robbins1(esk1_0))&v5_sheffer1(esk1_0))&v1_latwal_1(esk1_0))&v2_latwal_1(esk1_0))&l3_lattices(esk1_0))&(m1_subset_1(esk2_0,u1_struct_0(esk1_0))&(m1_subset_1(esk3_0,u1_struct_0(esk1_0))&((~r2_hidden(k4_tarski(esk2_0,esk3_0),k1_lattad_1(esk1_0))|~r3_lattices(esk1_0,esk2_0,esk3_0))&(r2_hidden(k4_tarski(esk2_0,esk3_0),k1_lattad_1(esk1_0))|r3_lattices(esk1_0,esk2_0,esk3_0)))))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])])).
fof(c_0_11, plain, ![X27]:(v2_struct_0(X27)|~l3_lattices(X27)|k1_lattad_1(X27)=a_1_0_lattad_1(X27)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])).
fof(c_0_12, plain, ![X28, X29, X32, X33]:(((((m1_subset_1(esk4_2(X28,X29),u1_struct_0(X29))|~r2_hidden(X28,a_1_0_lattad_1(X29))|(v2_struct_0(X29)|~l3_lattices(X29)))&(m1_subset_1(esk5_2(X28,X29),u1_struct_0(X29))|~r2_hidden(X28,a_1_0_lattad_1(X29))|(v2_struct_0(X29)|~l3_lattices(X29))))&(X28=k4_tarski(esk4_2(X28,X29),esk5_2(X28,X29))|~r2_hidden(X28,a_1_0_lattad_1(X29))|(v2_struct_0(X29)|~l3_lattices(X29))))&(r1_lattices(X29,esk4_2(X28,X29),esk5_2(X28,X29))|~r2_hidden(X28,a_1_0_lattad_1(X29))|(v2_struct_0(X29)|~l3_lattices(X29))))&(~m1_subset_1(X32,u1_struct_0(X29))|~m1_subset_1(X33,u1_struct_0(X29))|X28!=k4_tarski(X32,X33)|~r1_lattices(X29,X32,X33)|r2_hidden(X28,a_1_0_lattad_1(X29))|(v2_struct_0(X29)|~l3_lattices(X29)))), 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_9])])])])])).
cnf(c_0_13, negated_conjecture, (r2_hidden(k4_tarski(esk2_0,esk3_0),k1_lattad_1(esk1_0))|r3_lattices(esk1_0,esk2_0,esk3_0)), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_14, 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_11])).
cnf(c_0_15, negated_conjecture, (l3_lattices(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_16, negated_conjecture, (~v2_struct_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_10])).
fof(c_0_17, 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_18, plain, ![X37, X38, X39, X40]:((X37=X39|k4_tarski(X37,X38)!=k4_tarski(X39,X40))&(X38=X40|k4_tarski(X37,X38)!=k4_tarski(X39,X40))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t1_xtuple_0])])])).
cnf(c_0_19, plain, (X1=k4_tarski(esk4_2(X1,X2),esk5_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_12])).
cnf(c_0_20, negated_conjecture, (r3_lattices(esk1_0,esk2_0,esk3_0)|r2_hidden(k4_tarski(esk2_0,esk3_0),a_1_0_lattad_1(esk1_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13, c_0_14]), c_0_15])]), c_0_16])).
fof(c_0_21, 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_22, plain, ![X26]:((((((((~v2_struct_0(X26)|(v2_struct_0(X26)|~v4_lattices(X26)|~v6_lattices(X26)|~v7_robbins1(X26)|~v5_sheffer1(X26)|~v1_latwal_1(X26)|~v2_latwal_1(X26))|~l3_lattices(X26))&(v4_lattices(X26)|(v2_struct_0(X26)|~v4_lattices(X26)|~v6_lattices(X26)|~v7_robbins1(X26)|~v5_sheffer1(X26)|~v1_latwal_1(X26)|~v2_latwal_1(X26))|~l3_lattices(X26)))&(v6_lattices(X26)|(v2_struct_0(X26)|~v4_lattices(X26)|~v6_lattices(X26)|~v7_robbins1(X26)|~v5_sheffer1(X26)|~v1_latwal_1(X26)|~v2_latwal_1(X26))|~l3_lattices(X26)))&(v8_lattices(X26)|(v2_struct_0(X26)|~v4_lattices(X26)|~v6_lattices(X26)|~v7_robbins1(X26)|~v5_sheffer1(X26)|~v1_latwal_1(X26)|~v2_latwal_1(X26))|~l3_lattices(X26)))&(v7_robbins1(X26)|(v2_struct_0(X26)|~v4_lattices(X26)|~v6_lattices(X26)|~v7_robbins1(X26)|~v5_sheffer1(X26)|~v1_latwal_1(X26)|~v2_latwal_1(X26))|~l3_lattices(X26)))&(v5_sheffer1(X26)|(v2_struct_0(X26)|~v4_lattices(X26)|~v6_lattices(X26)|~v7_robbins1(X26)|~v5_sheffer1(X26)|~v1_latwal_1(X26)|~v2_latwal_1(X26))|~l3_lattices(X26)))&(v1_latwal_1(X26)|(v2_struct_0(X26)|~v4_lattices(X26)|~v6_lattices(X26)|~v7_robbins1(X26)|~v5_sheffer1(X26)|~v1_latwal_1(X26)|~v2_latwal_1(X26))|~l3_lattices(X26)))&(v2_latwal_1(X26)|(v2_struct_0(X26)|~v4_lattices(X26)|~v6_lattices(X26)|~v7_robbins1(X26)|~v5_sheffer1(X26)|~v1_latwal_1(X26)|~v2_latwal_1(X26))|~l3_lattices(X26))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_17])])])).
cnf(c_0_23, plain, (X1=X2|k4_tarski(X3,X1)!=k4_tarski(X4,X2)), inference(split_conjunct,[status(thm)],[c_0_18])).
cnf(c_0_24, negated_conjecture, (k4_tarski(esk4_2(k4_tarski(esk2_0,esk3_0),esk1_0),esk5_2(k4_tarski(esk2_0,esk3_0),esk1_0))=k4_tarski(esk2_0,esk3_0)|r3_lattices(esk1_0,esk2_0,esk3_0)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19, c_0_20]), c_0_15])]), c_0_16])).
fof(c_0_25, plain, ![X34, X35, X36]:((~r3_lattices(X34,X35,X36)|r1_lattices(X34,X35,X36)|(v2_struct_0(X34)|~v6_lattices(X34)|~v8_lattices(X34)|~v9_lattices(X34)|~l3_lattices(X34)|~m1_subset_1(X35,u1_struct_0(X34))|~m1_subset_1(X36,u1_struct_0(X34))))&(~r1_lattices(X34,X35,X36)|r3_lattices(X34,X35,X36)|(v2_struct_0(X34)|~v6_lattices(X34)|~v8_lattices(X34)|~v9_lattices(X34)|~l3_lattices(X34)|~m1_subset_1(X35,u1_struct_0(X34))|~m1_subset_1(X36,u1_struct_0(X34))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_21])])])).
cnf(c_0_26, 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_22])).
cnf(c_0_27, negated_conjecture, (v2_latwal_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_28, negated_conjecture, (v1_latwal_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_29, negated_conjecture, (v5_sheffer1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_30, negated_conjecture, (v7_robbins1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_31, negated_conjecture, (v6_lattices(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_32, negated_conjecture, (v4_lattices(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_10])).
fof(c_0_33, 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])).
cnf(c_0_34, plain, (r1_lattices(X1,esk4_2(X2,X1),esk5_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_12])).
cnf(c_0_35, negated_conjecture, (esk5_2(k4_tarski(esk2_0,esk3_0),esk1_0)=X1|r3_lattices(esk1_0,esk2_0,esk3_0)|k4_tarski(esk2_0,esk3_0)!=k4_tarski(X2,X1)), inference(spm,[status(thm)],[c_0_23, c_0_24])).
cnf(c_0_36, plain, (X1=X2|k4_tarski(X1,X3)!=k4_tarski(X2,X4)), inference(split_conjunct,[status(thm)],[c_0_18])).
cnf(c_0_37, 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_25])).
cnf(c_0_38, negated_conjecture, (m1_subset_1(esk3_0,u1_struct_0(esk1_0))), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_39, negated_conjecture, (v8_lattices(esk1_0)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26, c_0_27]), c_0_15]), c_0_28]), c_0_29]), c_0_30]), c_0_31]), c_0_32])]), c_0_16])).
fof(c_0_40, plain, ![X25]:((~v2_struct_0(X25)|(v2_struct_0(X25)|~v4_lattices(X25)|~v6_lattices(X25)|~v5_sheffer1(X25)|~v1_latwal_1(X25))|~l3_lattices(X25))&(v9_lattices(X25)|(v2_struct_0(X25)|~v4_lattices(X25)|~v6_lattices(X25)|~v5_sheffer1(X25)|~v1_latwal_1(X25))|~l3_lattices(X25))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_33])])])).
cnf(c_0_41, negated_conjecture, (r1_lattices(esk1_0,esk4_2(k4_tarski(esk2_0,esk3_0),esk1_0),esk5_2(k4_tarski(esk2_0,esk3_0),esk1_0))|r3_lattices(esk1_0,esk2_0,esk3_0)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34, c_0_20]), c_0_15])]), c_0_16])).
cnf(c_0_42, negated_conjecture, (esk5_2(k4_tarski(esk2_0,esk3_0),esk1_0)=esk3_0|r3_lattices(esk1_0,esk2_0,esk3_0)), inference(er,[status(thm)],[c_0_35])).
cnf(c_0_43, negated_conjecture, (esk4_2(k4_tarski(esk2_0,esk3_0),esk1_0)=X1|r3_lattices(esk1_0,esk2_0,esk3_0)|k4_tarski(esk2_0,esk3_0)!=k4_tarski(X1,X2)), inference(spm,[status(thm)],[c_0_36, c_0_24])).
cnf(c_0_44, negated_conjecture, (r3_lattices(esk1_0,X1,esk3_0)|~r1_lattices(esk1_0,X1,esk3_0)|~v9_lattices(esk1_0)|~m1_subset_1(X1,u1_struct_0(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37, c_0_38]), c_0_15]), c_0_31])]), c_0_16]), c_0_39])])).
cnf(c_0_45, 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_40])).
cnf(c_0_46, negated_conjecture, (r1_lattices(esk1_0,esk4_2(k4_tarski(esk2_0,esk3_0),esk1_0),esk3_0)|r3_lattices(esk1_0,esk2_0,esk3_0)), inference(spm,[status(thm)],[c_0_41, c_0_42])).
cnf(c_0_47, negated_conjecture, (esk4_2(k4_tarski(esk2_0,esk3_0),esk1_0)=esk2_0|r3_lattices(esk1_0,esk2_0,esk3_0)), inference(er,[status(thm)],[c_0_43])).
cnf(c_0_48, 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_25])).
cnf(c_0_49, negated_conjecture, (r3_lattices(esk1_0,X1,esk3_0)|~r1_lattices(esk1_0,X1,esk3_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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44, c_0_45]), c_0_15]), c_0_28]), c_0_29]), c_0_31]), c_0_32])]), c_0_16])).
cnf(c_0_50, negated_conjecture, (r1_lattices(esk1_0,esk2_0,esk3_0)|r3_lattices(esk1_0,esk2_0,esk3_0)), inference(spm,[status(thm)],[c_0_46, c_0_47])).
cnf(c_0_51, negated_conjecture, (m1_subset_1(esk2_0,u1_struct_0(esk1_0))), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_52, 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_12])).
cnf(c_0_53, negated_conjecture, (r1_lattices(esk1_0,X1,esk3_0)|~v9_lattices(esk1_0)|~r3_lattices(esk1_0,X1,esk3_0)|~m1_subset_1(X1,u1_struct_0(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48, c_0_38]), c_0_15]), c_0_31])]), c_0_16]), c_0_39])])).
cnf(c_0_54, negated_conjecture, (~r2_hidden(k4_tarski(esk2_0,esk3_0),k1_lattad_1(esk1_0))|~r3_lattices(esk1_0,esk2_0,esk3_0)), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_55, negated_conjecture, (r3_lattices(esk1_0,esk2_0,esk3_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49, c_0_50]), c_0_51])])).
cnf(c_0_56, plain, (r2_hidden(k4_tarski(X1,X2),a_1_0_lattad_1(X3))|v2_struct_0(X3)|~r1_lattices(X3,X1,X2)|~m1_subset_1(X2,u1_struct_0(X3))|~m1_subset_1(X1,u1_struct_0(X3))|~l3_lattices(X3)), inference(er,[status(thm)],[c_0_52])).
cnf(c_0_57, negated_conjecture, (r1_lattices(esk1_0,X1,esk3_0)|~r3_lattices(esk1_0,X1,esk3_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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53, c_0_45]), c_0_15]), c_0_28]), c_0_29]), c_0_31]), c_0_32])]), c_0_16])).
cnf(c_0_58, negated_conjecture, (~r2_hidden(k4_tarski(esk2_0,esk3_0),k1_lattad_1(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_54, c_0_55])])).
cnf(c_0_59, negated_conjecture, (r2_hidden(k4_tarski(X1,esk3_0),a_1_0_lattad_1(esk1_0))|~r1_lattices(esk1_0,X1,esk3_0)|~m1_subset_1(X1,u1_struct_0(esk1_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56, c_0_38]), c_0_15])]), c_0_16])).
cnf(c_0_60, negated_conjecture, (r1_lattices(esk1_0,esk2_0,esk3_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57, c_0_55]), c_0_51])])).
cnf(c_0_61, negated_conjecture, (~r2_hidden(k4_tarski(esk2_0,esk3_0),a_1_0_lattad_1(esk1_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58, c_0_14]), c_0_15])]), c_0_16])).
cnf(c_0_62, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59, c_0_60]), c_0_51])]), c_0_61]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 63
# Proof object clause steps            : 43
# Proof object formula steps           : 20
# Proof object conjectures             : 35
# Proof object clause conjectures      : 32
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 22
# Proof object initial formulas used   : 7
# Proof object generating inferences   : 19
# Proof object simplifying inferences  : 59
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 7
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 32
# Removed in clause preprocessing      : 8
# Initial clauses in saturation        : 24
# Processed clauses                    : 89
# ...of these trivial                  : 0
# ...subsumed                          : 12
# ...remaining for further processing  : 77
# Other redundant clauses eliminated   : 1
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 4
# Backward-rewritten                   : 15
# Generated clauses                    : 56
# ...of the previous two non-trivial   : 51
# Contextual simplify-reflections      : 0
# Paramodulations                      : 51
# Factorizations                       : 0
# NegExts                              : 0
# Equation resolutions                 : 5
# 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  : 33
#    Positive orientable unit clauses  : 12
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 3
#    Non-unit-clauses                  : 18
# Current number of unprocessed clauses: 10
# ...number of literals in the above   : 38
# Current number of archived formulas  : 0
# Current number of archived clauses   : 43
# Clause-clause subsumption calls (NU) : 209
# Rec. Clause-clause subsumption calls : 107
# Non-unit clause-clause subsumptions  : 16
# Unit Clause-clause subsumption calls : 3
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 1
# BW rewrite match successes           : 1
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 4095

# -------------------------------------------------
# User time                : 0.027 s
# System time              : 0.000 s
# Total time               : 0.027 s
# Maximum resident set size: 3560 pages
