# No SInE strategy applied
# Trying AutoSched0 for 161 seconds
# AutoSched0-Mode selected heuristic G_E___208_B07_F1_SE_CS_SP_PS_S4d
# and selection function SelectCQIPrecWNTNp.
#
# Preprocessing time       : 0.018 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(t7_latwal_2, axiom, ![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))=>k13_lattice3(X1,k12_lattice3(X1,X2,X3),X2)=X2))), file('latwal_2/latwal_2__t14_latwal_2', t7_latwal_2)).
fof(cc2_lattice3, axiom, ![X1]:(l1_orders_2(X1)=>(v2_lattice3(X1)=>~(v2_struct_0(X1)))), file('latwal_2/latwal_2__t14_latwal_2', cc2_lattice3)).
fof(t14_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(X1))=>k13_lattice3(X1,k13_lattice3(X1,k12_lattice3(X1,X2,X4),k12_lattice3(X1,X3,X4)),X4)=X4)))), file('latwal_2/latwal_2__t14_latwal_2', t14_latwal_2)).
fof(t1_latwal_2, axiom, ![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))=>(r3_orders_2(X1,X2,X3)<=>k13_lattice3(X1,X2,X3)=X3)))), file('latwal_2/latwal_2__t14_latwal_2', t1_latwal_2)).
fof(dt_k12_lattice3, axiom, ![X1, X2, X3]:(((((v5_orders_2(X1)&v2_lattice3(X1))&l1_orders_2(X1))&m1_subset_1(X2,u1_struct_0(X1)))&m1_subset_1(X3,u1_struct_0(X1)))=>m1_subset_1(k12_lattice3(X1,X2,X3),u1_struct_0(X1))), file('latwal_2/latwal_2__t14_latwal_2', dt_k12_lattice3)).
fof(t11_latwal_2, axiom, ![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(X1))=>((r3_orders_2(X1,X2,X4)&r3_orders_2(X1,X3,X4))=>r3_orders_2(X1,k13_lattice3(X1,X2,X3),X4)))))), file('latwal_2/latwal_2__t14_latwal_2', t11_latwal_2)).
fof(commutativity_k12_lattice3, axiom, ![X1, X2, X3]:(((((v5_orders_2(X1)&v2_lattice3(X1))&l1_orders_2(X1))&m1_subset_1(X2,u1_struct_0(X1)))&m1_subset_1(X3,u1_struct_0(X1)))=>k12_lattice3(X1,X2,X3)=k12_lattice3(X1,X3,X2)), file('latwal_2/latwal_2__t14_latwal_2', commutativity_k12_lattice3)).
fof(dt_k13_lattice3, axiom, ![X1, X2, X3]:(((((v5_orders_2(X1)&v1_lattice3(X1))&l1_orders_2(X1))&m1_subset_1(X2,u1_struct_0(X1)))&m1_subset_1(X3,u1_struct_0(X1)))=>m1_subset_1(k13_lattice3(X1,X2,X3),u1_struct_0(X1))), file('latwal_2/latwal_2__t14_latwal_2', dt_k13_lattice3)).
fof(c_0_8, plain, ![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))=>k13_lattice3(X1,k12_lattice3(X1,X2,X3),X2)=X2))), inference(fof_simplification,[status(thm)],[t7_latwal_2])).
fof(c_0_9, plain, ![X1]:(l1_orders_2(X1)=>(v2_lattice3(X1)=>~v2_struct_0(X1))), inference(fof_simplification,[status(thm)],[cc2_lattice3])).
fof(c_0_10, plain, ![X50, X51, X52]:(v2_struct_0(X50)|~v3_orders_2(X50)|~v5_orders_2(X50)|~v1_lattice3(X50)|~v2_lattice3(X50)|~l1_orders_2(X50)|(~m1_subset_1(X51,u1_struct_0(X50))|(~m1_subset_1(X52,u1_struct_0(X50))|k13_lattice3(X50,k12_lattice3(X50,X51,X52),X51)=X51))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])])).
fof(c_0_11, plain, ![X33]:(~l1_orders_2(X33)|(~v2_lattice3(X33)|~v2_struct_0(X33))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])).
fof(c_0_12, 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(X1))=>k13_lattice3(X1,k13_lattice3(X1,k12_lattice3(X1,X2,X4),k12_lattice3(X1,X3,X4)),X4)=X4))))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t14_latwal_2])])).
fof(c_0_13, plain, ![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))=>(r3_orders_2(X1,X2,X3)<=>k13_lattice3(X1,X2,X3)=X3)))), inference(fof_simplification,[status(thm)],[t1_latwal_2])).
cnf(c_0_14, plain, (v2_struct_0(X1)|k13_lattice3(X1,k12_lattice3(X1,X2,X3),X2)=X2|~v3_orders_2(X1)|~v5_orders_2(X1)|~v1_lattice3(X1)|~v2_lattice3(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_10])).
cnf(c_0_15, plain, (~l1_orders_2(X1)|~v2_lattice3(X1)|~v2_struct_0(X1)), inference(split_conjunct,[status(thm)],[c_0_11])).
fof(c_0_16, 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(esk1_0))&k13_lattice3(esk1_0,k13_lattice3(esk1_0,k12_lattice3(esk1_0,esk2_0,esk4_0),k12_lattice3(esk1_0,esk3_0,esk4_0)),esk4_0)!=esk4_0)))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])])])).
fof(c_0_17, plain, ![X37, X38, X39]:(~v5_orders_2(X37)|~v2_lattice3(X37)|~l1_orders_2(X37)|~m1_subset_1(X38,u1_struct_0(X37))|~m1_subset_1(X39,u1_struct_0(X37))|m1_subset_1(k12_lattice3(X37,X38,X39),u1_struct_0(X37))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k12_lattice3])])).
fof(c_0_18, plain, ![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(X1))=>((r3_orders_2(X1,X2,X4)&r3_orders_2(X1,X3,X4))=>r3_orders_2(X1,k13_lattice3(X1,X2,X3),X4)))))), inference(fof_simplification,[status(thm)],[t11_latwal_2])).
fof(c_0_19, plain, ![X47, X48, X49]:((~r3_orders_2(X47,X48,X49)|k13_lattice3(X47,X48,X49)=X49|~m1_subset_1(X49,u1_struct_0(X47))|~m1_subset_1(X48,u1_struct_0(X47))|(v2_struct_0(X47)|~v3_orders_2(X47)|~v5_orders_2(X47)|~v1_lattice3(X47)|~v2_lattice3(X47)|~l1_orders_2(X47)))&(k13_lattice3(X47,X48,X49)!=X49|r3_orders_2(X47,X48,X49)|~m1_subset_1(X49,u1_struct_0(X47))|~m1_subset_1(X48,u1_struct_0(X47))|(v2_struct_0(X47)|~v3_orders_2(X47)|~v5_orders_2(X47)|~v1_lattice3(X47)|~v2_lattice3(X47)|~l1_orders_2(X47)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])])])).
cnf(c_0_20, plain, (k13_lattice3(X1,k12_lattice3(X1,X2,X3),X2)=X2|~m1_subset_1(X3,u1_struct_0(X1))|~m1_subset_1(X2,u1_struct_0(X1))|~l1_orders_2(X1)|~v2_lattice3(X1)|~v1_lattice3(X1)|~v5_orders_2(X1)|~v3_orders_2(X1)), inference(csr,[status(thm)],[c_0_14, c_0_15])).
cnf(c_0_21, negated_conjecture, (m1_subset_1(esk3_0,u1_struct_0(esk1_0))), inference(split_conjunct,[status(thm)],[c_0_16])).
cnf(c_0_22, negated_conjecture, (l1_orders_2(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_16])).
cnf(c_0_23, negated_conjecture, (v2_lattice3(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_16])).
cnf(c_0_24, negated_conjecture, (v1_lattice3(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_16])).
cnf(c_0_25, negated_conjecture, (v5_orders_2(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_16])).
cnf(c_0_26, negated_conjecture, (v3_orders_2(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_16])).
cnf(c_0_27, plain, (m1_subset_1(k12_lattice3(X1,X2,X3),u1_struct_0(X1))|~v5_orders_2(X1)|~v2_lattice3(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_17])).
cnf(c_0_28, negated_conjecture, (m1_subset_1(esk2_0,u1_struct_0(esk1_0))), inference(split_conjunct,[status(thm)],[c_0_16])).
fof(c_0_29, plain, ![X34, X35, X36]:(~v5_orders_2(X34)|~v2_lattice3(X34)|~l1_orders_2(X34)|~m1_subset_1(X35,u1_struct_0(X34))|~m1_subset_1(X36,u1_struct_0(X34))|k12_lattice3(X34,X35,X36)=k12_lattice3(X34,X36,X35)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[commutativity_k12_lattice3])])).
fof(c_0_30, plain, ![X43, X44, X45, X46]:(v2_struct_0(X43)|~v3_orders_2(X43)|~v5_orders_2(X43)|~v1_lattice3(X43)|~v2_lattice3(X43)|~l1_orders_2(X43)|(~m1_subset_1(X44,u1_struct_0(X43))|(~m1_subset_1(X45,u1_struct_0(X43))|(~m1_subset_1(X46,u1_struct_0(X43))|(~r3_orders_2(X43,X44,X46)|~r3_orders_2(X43,X45,X46)|r3_orders_2(X43,k13_lattice3(X43,X44,X45),X46)))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_18])])])).
cnf(c_0_31, plain, (r3_orders_2(X1,X2,X3)|v2_struct_0(X1)|k13_lattice3(X1,X2,X3)!=X3|~m1_subset_1(X3,u1_struct_0(X1))|~m1_subset_1(X2,u1_struct_0(X1))|~v3_orders_2(X1)|~v5_orders_2(X1)|~v1_lattice3(X1)|~v2_lattice3(X1)|~l1_orders_2(X1)), inference(split_conjunct,[status(thm)],[c_0_19])).
cnf(c_0_32, negated_conjecture, (k13_lattice3(esk1_0,k12_lattice3(esk1_0,X1,esk3_0),X1)=X1|~m1_subset_1(X1,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(spm,[status(thm)],[c_0_20, c_0_21]), c_0_22]), c_0_23]), c_0_24]), c_0_25]), c_0_26])])).
cnf(c_0_33, negated_conjecture, (m1_subset_1(esk4_0,u1_struct_0(esk1_0))), inference(split_conjunct,[status(thm)],[c_0_16])).
cnf(c_0_34, negated_conjecture, (m1_subset_1(k12_lattice3(esk1_0,X1,esk3_0),u1_struct_0(esk1_0))|~m1_subset_1(X1,u1_struct_0(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27, c_0_21]), c_0_22]), c_0_23]), c_0_25])])).
cnf(c_0_35, negated_conjecture, (k13_lattice3(esk1_0,k12_lattice3(esk1_0,X1,esk2_0),X1)=X1|~m1_subset_1(X1,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(spm,[status(thm)],[c_0_20, c_0_28]), c_0_22]), c_0_23]), c_0_24]), c_0_25]), c_0_26])])).
cnf(c_0_36, plain, (k12_lattice3(X1,X2,X3)=k12_lattice3(X1,X3,X2)|~v5_orders_2(X1)|~v2_lattice3(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_29])).
cnf(c_0_37, plain, (v2_struct_0(X1)|r3_orders_2(X1,k13_lattice3(X1,X2,X3),X4)|~v3_orders_2(X1)|~v5_orders_2(X1)|~v1_lattice3(X1)|~v2_lattice3(X1)|~l1_orders_2(X1)|~m1_subset_1(X2,u1_struct_0(X1))|~m1_subset_1(X3,u1_struct_0(X1))|~m1_subset_1(X4,u1_struct_0(X1))|~r3_orders_2(X1,X2,X4)|~r3_orders_2(X1,X3,X4)), inference(split_conjunct,[status(thm)],[c_0_30])).
cnf(c_0_38, plain, (r3_orders_2(X1,X2,X3)|k13_lattice3(X1,X2,X3)!=X3|~m1_subset_1(X3,u1_struct_0(X1))|~m1_subset_1(X2,u1_struct_0(X1))|~l1_orders_2(X1)|~v2_lattice3(X1)|~v1_lattice3(X1)|~v5_orders_2(X1)|~v3_orders_2(X1)), inference(csr,[status(thm)],[c_0_31, c_0_15])).
cnf(c_0_39, negated_conjecture, (k13_lattice3(esk1_0,k12_lattice3(esk1_0,esk4_0,esk3_0),esk4_0)=esk4_0), inference(spm,[status(thm)],[c_0_32, c_0_33])).
cnf(c_0_40, negated_conjecture, (m1_subset_1(k12_lattice3(esk1_0,esk4_0,esk3_0),u1_struct_0(esk1_0))), inference(spm,[status(thm)],[c_0_34, c_0_33])).
cnf(c_0_41, negated_conjecture, (k13_lattice3(esk1_0,k12_lattice3(esk1_0,esk4_0,esk2_0),esk4_0)=esk4_0), inference(spm,[status(thm)],[c_0_35, c_0_33])).
cnf(c_0_42, negated_conjecture, (m1_subset_1(k12_lattice3(esk1_0,X1,esk2_0),u1_struct_0(esk1_0))|~m1_subset_1(X1,u1_struct_0(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27, c_0_28]), c_0_22]), c_0_23]), c_0_25])])).
cnf(c_0_43, negated_conjecture, (k12_lattice3(esk1_0,X1,esk4_0)=k12_lattice3(esk1_0,esk4_0,X1)|~m1_subset_1(X1,u1_struct_0(esk1_0))), 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_22]), c_0_23]), c_0_25])])).
cnf(c_0_44, plain, (r3_orders_2(X1,k13_lattice3(X1,X2,X3),X4)|~r3_orders_2(X1,X3,X4)|~r3_orders_2(X1,X2,X4)|~m1_subset_1(X4,u1_struct_0(X1))|~m1_subset_1(X3,u1_struct_0(X1))|~m1_subset_1(X2,u1_struct_0(X1))|~l1_orders_2(X1)|~v2_lattice3(X1)|~v1_lattice3(X1)|~v5_orders_2(X1)|~v3_orders_2(X1)), inference(csr,[status(thm)],[c_0_37, c_0_15])).
cnf(c_0_45, negated_conjecture, (r3_orders_2(esk1_0,k12_lattice3(esk1_0,esk4_0,esk3_0),esk4_0)), inference(cn,[status(thm)],[inference(rw,[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_38, c_0_39]), c_0_33]), c_0_22]), c_0_23]), c_0_24]), c_0_25]), c_0_26])]), c_0_40])])).
cnf(c_0_46, negated_conjecture, (r3_orders_2(esk1_0,k12_lattice3(esk1_0,esk4_0,esk2_0),esk4_0)|~m1_subset_1(k12_lattice3(esk1_0,esk4_0,esk2_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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38, c_0_41]), c_0_33]), c_0_22]), c_0_23]), c_0_24]), c_0_25]), c_0_26])])).
cnf(c_0_47, negated_conjecture, (m1_subset_1(k12_lattice3(esk1_0,esk4_0,esk2_0),u1_struct_0(esk1_0))), inference(spm,[status(thm)],[c_0_42, c_0_33])).
cnf(c_0_48, negated_conjecture, (k13_lattice3(esk1_0,k13_lattice3(esk1_0,k12_lattice3(esk1_0,esk2_0,esk4_0),k12_lattice3(esk1_0,esk3_0,esk4_0)),esk4_0)!=esk4_0), inference(split_conjunct,[status(thm)],[c_0_16])).
cnf(c_0_49, negated_conjecture, (k12_lattice3(esk1_0,esk3_0,esk4_0)=k12_lattice3(esk1_0,esk4_0,esk3_0)), inference(spm,[status(thm)],[c_0_43, c_0_21])).
fof(c_0_50, plain, ![X40, X41, X42]:(~v5_orders_2(X40)|~v1_lattice3(X40)|~l1_orders_2(X40)|~m1_subset_1(X41,u1_struct_0(X40))|~m1_subset_1(X42,u1_struct_0(X40))|m1_subset_1(k13_lattice3(X40,X41,X42),u1_struct_0(X40))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k13_lattice3])])).
cnf(c_0_51, plain, (k13_lattice3(X1,X2,X3)=X3|v2_struct_0(X1)|~r3_orders_2(X1,X2,X3)|~m1_subset_1(X3,u1_struct_0(X1))|~m1_subset_1(X2,u1_struct_0(X1))|~v3_orders_2(X1)|~v5_orders_2(X1)|~v1_lattice3(X1)|~v2_lattice3(X1)|~l1_orders_2(X1)), inference(split_conjunct,[status(thm)],[c_0_19])).
cnf(c_0_52, negated_conjecture, (r3_orders_2(esk1_0,k13_lattice3(esk1_0,X1,k12_lattice3(esk1_0,esk4_0,esk3_0)),esk4_0)|~r3_orders_2(esk1_0,X1,esk4_0)|~m1_subset_1(X1,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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44, c_0_45]), c_0_33]), c_0_40]), c_0_22]), c_0_23]), c_0_24]), c_0_25]), c_0_26])])).
cnf(c_0_53, negated_conjecture, (r3_orders_2(esk1_0,k12_lattice3(esk1_0,esk4_0,esk2_0),esk4_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_46, c_0_47])])).
cnf(c_0_54, negated_conjecture, (k13_lattice3(esk1_0,k13_lattice3(esk1_0,k12_lattice3(esk1_0,esk2_0,esk4_0),k12_lattice3(esk1_0,esk4_0,esk3_0)),esk4_0)!=esk4_0), inference(rw,[status(thm)],[c_0_48, c_0_49])).
cnf(c_0_55, negated_conjecture, (k12_lattice3(esk1_0,esk2_0,esk4_0)=k12_lattice3(esk1_0,esk4_0,esk2_0)), inference(spm,[status(thm)],[c_0_43, c_0_28])).
cnf(c_0_56, plain, (m1_subset_1(k13_lattice3(X1,X2,X3),u1_struct_0(X1))|~v5_orders_2(X1)|~v1_lattice3(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_50])).
cnf(c_0_57, plain, (k13_lattice3(X1,X2,X3)=X3|~r3_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)|~v2_lattice3(X1)|~v1_lattice3(X1)|~v5_orders_2(X1)|~v3_orders_2(X1)), inference(csr,[status(thm)],[c_0_51, c_0_15])).
cnf(c_0_58, negated_conjecture, (r3_orders_2(esk1_0,k13_lattice3(esk1_0,k12_lattice3(esk1_0,esk4_0,esk2_0),k12_lattice3(esk1_0,esk4_0,esk3_0)),esk4_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52, c_0_53]), c_0_47])])).
cnf(c_0_59, negated_conjecture, (k13_lattice3(esk1_0,k13_lattice3(esk1_0,k12_lattice3(esk1_0,esk4_0,esk2_0),k12_lattice3(esk1_0,esk4_0,esk3_0)),esk4_0)!=esk4_0), inference(rw,[status(thm)],[c_0_54, c_0_55])).
cnf(c_0_60, negated_conjecture, (m1_subset_1(k13_lattice3(esk1_0,X1,k12_lattice3(esk1_0,esk4_0,esk3_0)),u1_struct_0(esk1_0))|~m1_subset_1(X1,u1_struct_0(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56, c_0_40]), c_0_22]), c_0_24]), c_0_25])])).
cnf(c_0_61, negated_conjecture, (~m1_subset_1(k13_lattice3(esk1_0,k12_lattice3(esk1_0,esk4_0,esk2_0),k12_lattice3(esk1_0,esk4_0,esk3_0)),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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57, c_0_58]), c_0_33]), c_0_22]), c_0_23]), c_0_24]), c_0_25]), c_0_26])]), c_0_59])).
cnf(c_0_62, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_60, c_0_47]), c_0_61]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 63
# Proof object clause steps            : 42
# Proof object formula steps           : 21
# Proof object conjectures             : 33
# Proof object clause conjectures      : 30
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 17
# Proof object initial formulas used   : 8
# Proof object generating inferences   : 18
# Proof object simplifying inferences  : 71
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 8
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 18
# Removed in clause preprocessing      : 0
# Initial clauses in saturation        : 18
# Processed clauses                    : 2081
# ...of these trivial                  : 32
# ...subsumed                          : 47
# ...remaining for further processing  : 2001
# Other redundant clauses eliminated   : 0
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 0
# Backward-rewritten                   : 145
# Generated clauses                    : 411384
# ...of the previous two non-trivial   : 411310
# Contextual simplify-reflections      : 4
# Paramodulations                      : 411384
# Factorizations                       : 0
# NegExts                              : 0
# Equation resolutions                 : 0
# 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  : 1838
#    Positive orientable unit clauses  : 1175
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 3
#    Non-unit-clauses                  : 660
# Current number of unprocessed clauses: 408529
# ...number of literals in the above   : 411090
# Current number of archived formulas  : 0
# Current number of archived clauses   : 163
# Clause-clause subsumption calls (NU) : 129043
# Rec. Clause-clause subsumption calls : 128751
# Non-unit clause-clause subsumptions  : 51
# Unit Clause-clause subsumption calls : 34076
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 63349
# BW rewrite match successes           : 53
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 16824756

# -------------------------------------------------
# User time                : 3.593 s
# System time              : 0.164 s
# Total time               : 3.757 s
# Maximum resident set size: 3636 pages
