# No SInE strategy applied
# Trying AutoSched0 for 161 seconds
# AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S064I
# and selection function SelectComplexG.
#
# Preprocessing time       : 0.013 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(t22_latwal_2, conjecture, ![X1]:(((((((((~(v2_struct_0(X1))&v3_orders_2(X1))&v5_orders_2(X1))&v1_lattice3(X1))&v2_lattice3(X1))&v4_pcs_0(X1))&v6_pcs_0(X1))&v1_latwal_2(X1))&l2_pcs_0(X1))=>![X2]:(m1_subset_1(X2,u1_struct_0(X1))=>![X3]:(m1_subset_1(X3,u1_struct_0(X1))=>((r2_pcs_0(X1,X2,X3)&r2_pcs_0(X1,X3,X3))=>r2_pcs_0(X1,k12_lattice3(X1,X2,X3),k12_lattice3(X1,X3,X3)))))), file('latwal_2/latwal_2__t22_latwal_2', t22_latwal_2)).
fof(dt_l2_pcs_0, axiom, ![X1]:(l2_pcs_0(X1)=>(l1_orders_2(X1)&l1_pcs_0(X1))), file('latwal_2/latwal_2__t22_latwal_2', dt_l2_pcs_0)).
fof(redefinition_r2_pcs_0, axiom, ![X1, X2, X3]:((((v6_pcs_0(X1)&l1_pcs_0(X1))&m1_subset_1(X2,u1_struct_0(X1)))&m1_subset_1(X3,u1_struct_0(X1)))=>(r2_pcs_0(X1,X2,X3)<=>r1_pcs_0(X1,X2,X3))), file('latwal_2/latwal_2__t22_latwal_2', redefinition_r2_pcs_0)).
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__t22_latwal_2', dt_k12_lattice3)).
fof(redefinition_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)=k11_lattice3(X1,X2,X3)), file('latwal_2/latwal_2__t22_latwal_2', redefinition_k12_lattice3)).
fof(d1_latwal_2, axiom, ![X1]:(l2_pcs_0(X1)=>(v1_latwal_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))=>![X5]:(m1_subset_1(X5,u1_struct_0(X1))=>((r1_pcs_0(X1,X2,X4)&r1_pcs_0(X1,X3,X5))=>(r1_pcs_0(X1,k10_lattice3(X1,X2,X3),k10_lattice3(X1,X4,X5))&r1_pcs_0(X1,k11_lattice3(X1,X2,X3),k11_lattice3(X1,X4,X5)))))))))), file('latwal_2/latwal_2__t22_latwal_2', d1_latwal_2)).
fof(c_0_6, negated_conjecture, ~(![X1]:(((((((((~v2_struct_0(X1)&v3_orders_2(X1))&v5_orders_2(X1))&v1_lattice3(X1))&v2_lattice3(X1))&v4_pcs_0(X1))&v6_pcs_0(X1))&v1_latwal_2(X1))&l2_pcs_0(X1))=>![X2]:(m1_subset_1(X2,u1_struct_0(X1))=>![X3]:(m1_subset_1(X3,u1_struct_0(X1))=>((r2_pcs_0(X1,X2,X3)&r2_pcs_0(X1,X3,X3))=>r2_pcs_0(X1,k12_lattice3(X1,X2,X3),k12_lattice3(X1,X3,X3))))))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t22_latwal_2])])).
fof(c_0_7, plain, ![X36]:((l1_orders_2(X36)|~l2_pcs_0(X36))&(l1_pcs_0(X36)|~l2_pcs_0(X36))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l2_pcs_0])])])).
fof(c_0_8, 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))&v4_pcs_0(esk1_0))&v6_pcs_0(esk1_0))&v1_latwal_2(esk1_0))&l2_pcs_0(esk1_0))&(m1_subset_1(esk2_0,u1_struct_0(esk1_0))&(m1_subset_1(esk3_0,u1_struct_0(esk1_0))&((r2_pcs_0(esk1_0,esk2_0,esk3_0)&r2_pcs_0(esk1_0,esk3_0,esk3_0))&~r2_pcs_0(esk1_0,k12_lattice3(esk1_0,esk2_0,esk3_0),k12_lattice3(esk1_0,esk3_0,esk3_0)))))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])])).
fof(c_0_9, plain, ![X30, X31, X32]:((~r2_pcs_0(X30,X31,X32)|r1_pcs_0(X30,X31,X32)|(~v6_pcs_0(X30)|~l1_pcs_0(X30)|~m1_subset_1(X31,u1_struct_0(X30))|~m1_subset_1(X32,u1_struct_0(X30))))&(~r1_pcs_0(X30,X31,X32)|r2_pcs_0(X30,X31,X32)|(~v6_pcs_0(X30)|~l1_pcs_0(X30)|~m1_subset_1(X31,u1_struct_0(X30))|~m1_subset_1(X32,u1_struct_0(X30))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_r2_pcs_0])])])).
cnf(c_0_10, plain, (l1_pcs_0(X1)|~l2_pcs_0(X1)), inference(split_conjunct,[status(thm)],[c_0_7])).
cnf(c_0_11, negated_conjecture, (l2_pcs_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_8])).
fof(c_0_12, plain, ![X33, X34, X35]:(~v5_orders_2(X33)|~v2_lattice3(X33)|~l1_orders_2(X33)|~m1_subset_1(X34,u1_struct_0(X33))|~m1_subset_1(X35,u1_struct_0(X33))|m1_subset_1(k12_lattice3(X33,X34,X35),u1_struct_0(X33))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k12_lattice3])])).
cnf(c_0_13, plain, (l1_orders_2(X1)|~l2_pcs_0(X1)), inference(split_conjunct,[status(thm)],[c_0_7])).
fof(c_0_14, plain, ![X27, X28, X29]:(~v5_orders_2(X27)|~v2_lattice3(X27)|~l1_orders_2(X27)|~m1_subset_1(X28,u1_struct_0(X27))|~m1_subset_1(X29,u1_struct_0(X27))|k12_lattice3(X27,X28,X29)=k11_lattice3(X27,X28,X29)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k12_lattice3])])).
fof(c_0_15, plain, ![X37, X38, X39, X40, X41]:(((r1_pcs_0(X37,k10_lattice3(X37,X38,X39),k10_lattice3(X37,X40,X41))|(~r1_pcs_0(X37,X38,X40)|~r1_pcs_0(X37,X39,X41))|~m1_subset_1(X41,u1_struct_0(X37))|~m1_subset_1(X40,u1_struct_0(X37))|~m1_subset_1(X39,u1_struct_0(X37))|~m1_subset_1(X38,u1_struct_0(X37))|~v1_latwal_2(X37)|~l2_pcs_0(X37))&(r1_pcs_0(X37,k11_lattice3(X37,X38,X39),k11_lattice3(X37,X40,X41))|(~r1_pcs_0(X37,X38,X40)|~r1_pcs_0(X37,X39,X41))|~m1_subset_1(X41,u1_struct_0(X37))|~m1_subset_1(X40,u1_struct_0(X37))|~m1_subset_1(X39,u1_struct_0(X37))|~m1_subset_1(X38,u1_struct_0(X37))|~v1_latwal_2(X37)|~l2_pcs_0(X37)))&((m1_subset_1(esk4_1(X37),u1_struct_0(X37))|v1_latwal_2(X37)|~l2_pcs_0(X37))&((m1_subset_1(esk5_1(X37),u1_struct_0(X37))|v1_latwal_2(X37)|~l2_pcs_0(X37))&((m1_subset_1(esk6_1(X37),u1_struct_0(X37))|v1_latwal_2(X37)|~l2_pcs_0(X37))&((m1_subset_1(esk7_1(X37),u1_struct_0(X37))|v1_latwal_2(X37)|~l2_pcs_0(X37))&(((r1_pcs_0(X37,esk4_1(X37),esk6_1(X37))|v1_latwal_2(X37)|~l2_pcs_0(X37))&(r1_pcs_0(X37,esk5_1(X37),esk7_1(X37))|v1_latwal_2(X37)|~l2_pcs_0(X37)))&(~r1_pcs_0(X37,k10_lattice3(X37,esk4_1(X37),esk5_1(X37)),k10_lattice3(X37,esk6_1(X37),esk7_1(X37)))|~r1_pcs_0(X37,k11_lattice3(X37,esk4_1(X37),esk5_1(X37)),k11_lattice3(X37,esk6_1(X37),esk7_1(X37)))|v1_latwal_2(X37)|~l2_pcs_0(X37)))))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d1_latwal_2])])])])])).
cnf(c_0_16, plain, (r1_pcs_0(X1,X2,X3)|~r2_pcs_0(X1,X2,X3)|~v6_pcs_0(X1)|~l1_pcs_0(X1)|~m1_subset_1(X2,u1_struct_0(X1))|~m1_subset_1(X3,u1_struct_0(X1))), inference(split_conjunct,[status(thm)],[c_0_9])).
cnf(c_0_17, negated_conjecture, (m1_subset_1(esk3_0,u1_struct_0(esk1_0))), inference(split_conjunct,[status(thm)],[c_0_8])).
cnf(c_0_18, negated_conjecture, (l1_pcs_0(esk1_0)), inference(spm,[status(thm)],[c_0_10, c_0_11])).
cnf(c_0_19, negated_conjecture, (v6_pcs_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_8])).
cnf(c_0_20, 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_12])).
cnf(c_0_21, negated_conjecture, (l1_orders_2(esk1_0)), inference(spm,[status(thm)],[c_0_13, c_0_11])).
cnf(c_0_22, negated_conjecture, (v2_lattice3(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_8])).
cnf(c_0_23, negated_conjecture, (v5_orders_2(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_8])).
cnf(c_0_24, plain, (k12_lattice3(X1,X2,X3)=k11_lattice3(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))), inference(split_conjunct,[status(thm)],[c_0_14])).
cnf(c_0_25, plain, (r1_pcs_0(X1,k11_lattice3(X1,X2,X3),k11_lattice3(X1,X4,X5))|~r1_pcs_0(X1,X2,X4)|~r1_pcs_0(X1,X3,X5)|~m1_subset_1(X5,u1_struct_0(X1))|~m1_subset_1(X4,u1_struct_0(X1))|~m1_subset_1(X3,u1_struct_0(X1))|~m1_subset_1(X2,u1_struct_0(X1))|~v1_latwal_2(X1)|~l2_pcs_0(X1)), inference(split_conjunct,[status(thm)],[c_0_15])).
cnf(c_0_26, negated_conjecture, (v1_latwal_2(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_8])).
cnf(c_0_27, negated_conjecture, (r1_pcs_0(esk1_0,X1,esk3_0)|~r2_pcs_0(esk1_0,X1,esk3_0)|~m1_subset_1(X1,u1_struct_0(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16, c_0_17]), c_0_18]), c_0_19])])).
cnf(c_0_28, negated_conjecture, (r2_pcs_0(esk1_0,esk3_0,esk3_0)), inference(split_conjunct,[status(thm)],[c_0_8])).
cnf(c_0_29, 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_20, c_0_17]), c_0_21]), c_0_22]), c_0_23])])).
cnf(c_0_30, negated_conjecture, (k12_lattice3(esk1_0,X1,esk3_0)=k11_lattice3(esk1_0,X1,esk3_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_24, c_0_17]), c_0_21]), c_0_22]), c_0_23])])).
cnf(c_0_31, negated_conjecture, (r1_pcs_0(esk1_0,k11_lattice3(esk1_0,X1,X2),k11_lattice3(esk1_0,X3,esk3_0))|~r1_pcs_0(esk1_0,X2,esk3_0)|~r1_pcs_0(esk1_0,X1,X3)|~m1_subset_1(X3,u1_struct_0(esk1_0))|~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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25, c_0_17]), c_0_11]), c_0_26])])).
cnf(c_0_32, negated_conjecture, (r1_pcs_0(esk1_0,esk3_0,esk3_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27, c_0_28]), c_0_17])])).
cnf(c_0_33, negated_conjecture, (m1_subset_1(k12_lattice3(esk1_0,esk3_0,esk3_0),u1_struct_0(esk1_0))), inference(spm,[status(thm)],[c_0_29, c_0_17])).
cnf(c_0_34, negated_conjecture, (k12_lattice3(esk1_0,esk3_0,esk3_0)=k11_lattice3(esk1_0,esk3_0,esk3_0)), inference(spm,[status(thm)],[c_0_30, c_0_17])).
cnf(c_0_35, negated_conjecture, (r1_pcs_0(esk1_0,k11_lattice3(esk1_0,X1,esk3_0),k11_lattice3(esk1_0,X2,esk3_0))|~r1_pcs_0(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_31, c_0_32]), c_0_17])])).
cnf(c_0_36, negated_conjecture, (r2_pcs_0(esk1_0,esk2_0,esk3_0)), inference(split_conjunct,[status(thm)],[c_0_8])).
cnf(c_0_37, negated_conjecture, (m1_subset_1(esk2_0,u1_struct_0(esk1_0))), inference(split_conjunct,[status(thm)],[c_0_8])).
cnf(c_0_38, negated_conjecture, (~r2_pcs_0(esk1_0,k12_lattice3(esk1_0,esk2_0,esk3_0),k12_lattice3(esk1_0,esk3_0,esk3_0))), inference(split_conjunct,[status(thm)],[c_0_8])).
cnf(c_0_39, plain, (r2_pcs_0(X1,X2,X3)|~r1_pcs_0(X1,X2,X3)|~v6_pcs_0(X1)|~l1_pcs_0(X1)|~m1_subset_1(X2,u1_struct_0(X1))|~m1_subset_1(X3,u1_struct_0(X1))), inference(split_conjunct,[status(thm)],[c_0_9])).
cnf(c_0_40, negated_conjecture, (m1_subset_1(k11_lattice3(esk1_0,esk3_0,esk3_0),u1_struct_0(esk1_0))), inference(rw,[status(thm)],[c_0_33, c_0_34])).
cnf(c_0_41, negated_conjecture, (r1_pcs_0(esk1_0,k11_lattice3(esk1_0,X1,esk3_0),k11_lattice3(esk1_0,esk3_0,esk3_0))|~r1_pcs_0(esk1_0,X1,esk3_0)|~m1_subset_1(X1,u1_struct_0(esk1_0))), inference(spm,[status(thm)],[c_0_35, c_0_17])).
cnf(c_0_42, negated_conjecture, (r1_pcs_0(esk1_0,esk2_0,esk3_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27, c_0_36]), c_0_37])])).
cnf(c_0_43, negated_conjecture, (m1_subset_1(k12_lattice3(esk1_0,esk2_0,esk3_0),u1_struct_0(esk1_0))), inference(spm,[status(thm)],[c_0_29, c_0_37])).
cnf(c_0_44, negated_conjecture, (k12_lattice3(esk1_0,esk2_0,esk3_0)=k11_lattice3(esk1_0,esk2_0,esk3_0)), inference(spm,[status(thm)],[c_0_30, c_0_37])).
cnf(c_0_45, negated_conjecture, (~r2_pcs_0(esk1_0,k12_lattice3(esk1_0,esk2_0,esk3_0),k11_lattice3(esk1_0,esk3_0,esk3_0))), inference(rw,[status(thm)],[c_0_38, c_0_34])).
cnf(c_0_46, negated_conjecture, (r2_pcs_0(esk1_0,X1,k11_lattice3(esk1_0,esk3_0,esk3_0))|~r1_pcs_0(esk1_0,X1,k11_lattice3(esk1_0,esk3_0,esk3_0))|~m1_subset_1(X1,u1_struct_0(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39, c_0_40]), c_0_18]), c_0_19])])).
cnf(c_0_47, negated_conjecture, (r1_pcs_0(esk1_0,k11_lattice3(esk1_0,esk2_0,esk3_0),k11_lattice3(esk1_0,esk3_0,esk3_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41, c_0_42]), c_0_37])])).
cnf(c_0_48, negated_conjecture, (m1_subset_1(k11_lattice3(esk1_0,esk2_0,esk3_0),u1_struct_0(esk1_0))), inference(rw,[status(thm)],[c_0_43, c_0_44])).
cnf(c_0_49, negated_conjecture, (~r2_pcs_0(esk1_0,k11_lattice3(esk1_0,esk2_0,esk3_0),k11_lattice3(esk1_0,esk3_0,esk3_0))), inference(rw,[status(thm)],[c_0_45, c_0_44])).
cnf(c_0_50, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46, c_0_47]), c_0_48])]), c_0_49]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 51
# Proof object clause steps            : 38
# Proof object formula steps           : 13
# Proof object conjectures             : 34
# Proof object clause conjectures      : 31
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 17
# Proof object initial formulas used   : 6
# Proof object generating inferences   : 17
# Proof object simplifying inferences  : 32
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 6
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 29
# Removed in clause preprocessing      : 0
# Initial clauses in saturation        : 29
# Processed clauses                    : 231
# ...of these trivial                  : 8
# ...subsumed                          : 7
# ...remaining for further processing  : 216
# Other redundant clauses eliminated   : 0
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 0
# Backward-rewritten                   : 50
# Generated clauses                    : 2755
# ...of the previous two non-trivial   : 2795
# Contextual simplify-reflections      : 0
# Paramodulations                      : 2755
# 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  : 137
#    Positive orientable unit clauses  : 76
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 2
#    Non-unit-clauses                  : 59
# Current number of unprocessed clauses: 2510
# ...number of literals in the above   : 3893
# Current number of archived formulas  : 0
# Current number of archived clauses   : 79
# Clause-clause subsumption calls (NU) : 1274
# Rec. Clause-clause subsumption calls : 961
# Non-unit clause-clause subsumptions  : 7
# Unit Clause-clause subsumption calls : 256
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 460
# BW rewrite match successes           : 13
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 76693

# -------------------------------------------------
# User time                : 0.030 s
# System time              : 0.000 s
# Total time               : 0.030 s
# Maximum resident set size: 3540 pages
