# No SInE strategy applied
# Trying AutoSched0 for 161 seconds
# AutoSched0-Mode selected heuristic G_E___107_B42_F1_PI_SE_Q4_CS_SP_PS_S0Y
# and selection function SelectMaxLComplexAvoidPosPred.
#
# Preprocessing time       : 0.022 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(t12_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))=>r3_orders_2(X1,X2,k13_lattice3(X1,X2,X3))))), file('latwal_2/latwal_2__t12_latwal_2', t12_latwal_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__t12_latwal_2', redefinition_r3_orders_2)).
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__t12_latwal_2', dt_k13_lattice3)).
fof(t22_yellow_0, axiom, ![X1]:(((v5_orders_2(X1)&v1_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))=>(X4=k13_lattice3(X1,X2,X3)<=>((r1_orders_2(X1,X2,X4)&r1_orders_2(X1,X3,X4))&![X5]:(m1_subset_1(X5,u1_struct_0(X1))=>((r1_orders_2(X1,X2,X5)&r1_orders_2(X1,X3,X5))=>r1_orders_2(X1,X4,X5))))))))), file('latwal_2/latwal_2__t12_latwal_2', t22_yellow_0)).
fof(c_0_4, 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))=>r3_orders_2(X1,X2,k13_lattice3(X1,X2,X3)))))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t12_latwal_2])])).
fof(c_0_5, 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])).
fof(c_0_6, 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))&~r3_orders_2(esk1_0,esk2_0,k13_lattice3(esk1_0,esk2_0,esk3_0))))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])])).
fof(c_0_7, plain, ![X23, X24, X25]:((~r3_orders_2(X23,X24,X25)|r1_orders_2(X23,X24,X25)|(v2_struct_0(X23)|~v3_orders_2(X23)|~l1_orders_2(X23)|~m1_subset_1(X24,u1_struct_0(X23))|~m1_subset_1(X25,u1_struct_0(X23))))&(~r1_orders_2(X23,X24,X25)|r3_orders_2(X23,X24,X25)|(v2_struct_0(X23)|~v3_orders_2(X23)|~l1_orders_2(X23)|~m1_subset_1(X24,u1_struct_0(X23))|~m1_subset_1(X25,u1_struct_0(X23))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])])).
cnf(c_0_8, negated_conjecture, (~r3_orders_2(esk1_0,esk2_0,k13_lattice3(esk1_0,esk2_0,esk3_0))), inference(split_conjunct,[status(thm)],[c_0_6])).
cnf(c_0_9, 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_7])).
cnf(c_0_10, negated_conjecture, (m1_subset_1(esk2_0,u1_struct_0(esk1_0))), inference(split_conjunct,[status(thm)],[c_0_6])).
cnf(c_0_11, negated_conjecture, (l1_orders_2(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_6])).
cnf(c_0_12, negated_conjecture, (v3_orders_2(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_6])).
cnf(c_0_13, negated_conjecture, (~v2_struct_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_6])).
fof(c_0_14, plain, ![X26, X27, X28]:(~v5_orders_2(X26)|~v1_lattice3(X26)|~l1_orders_2(X26)|~m1_subset_1(X27,u1_struct_0(X26))|~m1_subset_1(X28,u1_struct_0(X26))|m1_subset_1(k13_lattice3(X26,X27,X28),u1_struct_0(X26))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k13_lattice3])])).
fof(c_0_15, plain, ![X29, X30, X31, X32, X33]:((((r1_orders_2(X29,X30,X32)|X32!=k13_lattice3(X29,X30,X31)|~m1_subset_1(X32,u1_struct_0(X29))|~m1_subset_1(X31,u1_struct_0(X29))|~m1_subset_1(X30,u1_struct_0(X29))|(~v5_orders_2(X29)|~v1_lattice3(X29)|~l1_orders_2(X29)))&(r1_orders_2(X29,X31,X32)|X32!=k13_lattice3(X29,X30,X31)|~m1_subset_1(X32,u1_struct_0(X29))|~m1_subset_1(X31,u1_struct_0(X29))|~m1_subset_1(X30,u1_struct_0(X29))|(~v5_orders_2(X29)|~v1_lattice3(X29)|~l1_orders_2(X29))))&(~m1_subset_1(X33,u1_struct_0(X29))|(~r1_orders_2(X29,X30,X33)|~r1_orders_2(X29,X31,X33)|r1_orders_2(X29,X32,X33))|X32!=k13_lattice3(X29,X30,X31)|~m1_subset_1(X32,u1_struct_0(X29))|~m1_subset_1(X31,u1_struct_0(X29))|~m1_subset_1(X30,u1_struct_0(X29))|(~v5_orders_2(X29)|~v1_lattice3(X29)|~l1_orders_2(X29))))&((m1_subset_1(esk4_4(X29,X30,X31,X32),u1_struct_0(X29))|(~r1_orders_2(X29,X30,X32)|~r1_orders_2(X29,X31,X32))|X32=k13_lattice3(X29,X30,X31)|~m1_subset_1(X32,u1_struct_0(X29))|~m1_subset_1(X31,u1_struct_0(X29))|~m1_subset_1(X30,u1_struct_0(X29))|(~v5_orders_2(X29)|~v1_lattice3(X29)|~l1_orders_2(X29)))&(((r1_orders_2(X29,X30,esk4_4(X29,X30,X31,X32))|(~r1_orders_2(X29,X30,X32)|~r1_orders_2(X29,X31,X32))|X32=k13_lattice3(X29,X30,X31)|~m1_subset_1(X32,u1_struct_0(X29))|~m1_subset_1(X31,u1_struct_0(X29))|~m1_subset_1(X30,u1_struct_0(X29))|(~v5_orders_2(X29)|~v1_lattice3(X29)|~l1_orders_2(X29)))&(r1_orders_2(X29,X31,esk4_4(X29,X30,X31,X32))|(~r1_orders_2(X29,X30,X32)|~r1_orders_2(X29,X31,X32))|X32=k13_lattice3(X29,X30,X31)|~m1_subset_1(X32,u1_struct_0(X29))|~m1_subset_1(X31,u1_struct_0(X29))|~m1_subset_1(X30,u1_struct_0(X29))|(~v5_orders_2(X29)|~v1_lattice3(X29)|~l1_orders_2(X29))))&(~r1_orders_2(X29,X32,esk4_4(X29,X30,X31,X32))|(~r1_orders_2(X29,X30,X32)|~r1_orders_2(X29,X31,X32))|X32=k13_lattice3(X29,X30,X31)|~m1_subset_1(X32,u1_struct_0(X29))|~m1_subset_1(X31,u1_struct_0(X29))|~m1_subset_1(X30,u1_struct_0(X29))|(~v5_orders_2(X29)|~v1_lattice3(X29)|~l1_orders_2(X29)))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t22_yellow_0])])])])])).
cnf(c_0_16, negated_conjecture, (~r1_orders_2(esk1_0,esk2_0,k13_lattice3(esk1_0,esk2_0,esk3_0))|~m1_subset_1(k13_lattice3(esk1_0,esk2_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(spm,[status(thm)],[c_0_8, c_0_9]), c_0_10]), c_0_11]), c_0_12])]), c_0_13])).
cnf(c_0_17, 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_14])).
cnf(c_0_18, negated_conjecture, (m1_subset_1(esk3_0,u1_struct_0(esk1_0))), inference(split_conjunct,[status(thm)],[c_0_6])).
cnf(c_0_19, negated_conjecture, (v1_lattice3(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_6])).
cnf(c_0_20, negated_conjecture, (v5_orders_2(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_6])).
cnf(c_0_21, plain, (r1_orders_2(X1,X2,X3)|X3!=k13_lattice3(X1,X2,X4)|~m1_subset_1(X3,u1_struct_0(X1))|~m1_subset_1(X4,u1_struct_0(X1))|~m1_subset_1(X2,u1_struct_0(X1))|~v5_orders_2(X1)|~v1_lattice3(X1)|~l1_orders_2(X1)), inference(split_conjunct,[status(thm)],[c_0_15])).
cnf(c_0_22, negated_conjecture, (~r1_orders_2(esk1_0,esk2_0,k13_lattice3(esk1_0,esk2_0,esk3_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_16, c_0_17]), c_0_18]), c_0_10]), c_0_11]), c_0_19]), c_0_20])])).
cnf(c_0_23, plain, (r1_orders_2(X1,X2,k13_lattice3(X1,X2,X3))|~m1_subset_1(X3,u1_struct_0(X1))|~m1_subset_1(X2,u1_struct_0(X1))|~l1_orders_2(X1)|~v1_lattice3(X1)|~v5_orders_2(X1)), inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_21]), c_0_17])).
cnf(c_0_24, negated_conjecture, ($false), 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_22, c_0_23]), c_0_18]), c_0_10]), c_0_11]), c_0_19]), c_0_20])]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 25
# Proof object clause steps            : 15
# Proof object formula steps           : 10
# Proof object conjectures             : 14
# Proof object clause conjectures      : 11
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 11
# Proof object initial formulas used   : 4
# Proof object generating inferences   : 3
# Proof object simplifying inferences  : 19
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 4
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 19
# Removed in clause preprocessing      : 0
# Initial clauses in saturation        : 19
# Processed clauses                    : 46
# ...of these trivial                  : 0
# ...subsumed                          : 0
# ...remaining for further processing  : 46
# Other redundant clauses eliminated   : 3
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 0
# Backward-rewritten                   : 0
# Generated clauses                    : 21
# ...of the previous two non-trivial   : 14
# Contextual simplify-reflections      : 3
# Paramodulations                      : 18
# Factorizations                       : 0
# NegExts                              : 0
# Equation resolutions                 : 3
# 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  : 24
#    Positive orientable unit clauses  : 7
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 3
#    Non-unit-clauses                  : 14
# Current number of unprocessed clauses: 5
# ...number of literals in the above   : 37
# Current number of archived formulas  : 0
# Current number of archived clauses   : 19
# Clause-clause subsumption calls (NU) : 280
# Rec. Clause-clause subsumption calls : 3
# Non-unit clause-clause subsumptions  : 3
# Unit Clause-clause subsumption calls : 2
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 0
# BW rewrite match successes           : 0
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 2997

# -------------------------------------------------
# User time                : 0.017 s
# System time              : 0.008 s
# Total time               : 0.025 s
# Maximum resident set size: 3660 pages
