# No SInE strategy applied
# Trying AutoSched0 for 161 seconds
# AutoSched0-Mode selected heuristic G_E___208_C18AMC_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
# and selection function SelectComplexExceptUniqMaxHorn.
#
# Preprocessing time       : 0.024 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(t6_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))=>k13_lattice3(X1,X2,X3)=k13_lattice3(X1,X3,X2)))), file('latwal_2/latwal_2__t6_latwal_2', t6_latwal_2)).
fof(commutativity_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)))=>k13_lattice3(X1,X2,X3)=k13_lattice3(X1,X3,X2)), file('latwal_2/latwal_2__t6_latwal_2', commutativity_k13_lattice3)).
fof(c_0_2, 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))=>k13_lattice3(X1,X2,X3)=k13_lattice3(X1,X3,X2))))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t6_latwal_2])])).
fof(c_0_3, plain, ![X13, X14, X15]:(~v5_orders_2(X13)|~v1_lattice3(X13)|~l1_orders_2(X13)|~m1_subset_1(X14,u1_struct_0(X13))|~m1_subset_1(X15,u1_struct_0(X13))|k13_lattice3(X13,X14,X15)=k13_lattice3(X13,X15,X14)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[commutativity_k13_lattice3])])).
fof(c_0_4, 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))&k13_lattice3(esk1_0,esk2_0,esk3_0)!=k13_lattice3(esk1_0,esk3_0,esk2_0)))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])])).
cnf(c_0_5, plain, (k13_lattice3(X1,X2,X3)=k13_lattice3(X1,X3,X2)|~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_3])).
cnf(c_0_6, negated_conjecture, (m1_subset_1(esk3_0,u1_struct_0(esk1_0))), inference(split_conjunct,[status(thm)],[c_0_4])).
cnf(c_0_7, negated_conjecture, (l1_orders_2(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_4])).
cnf(c_0_8, negated_conjecture, (v1_lattice3(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_4])).
cnf(c_0_9, negated_conjecture, (v5_orders_2(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_4])).
cnf(c_0_10, negated_conjecture, (k13_lattice3(esk1_0,X1,esk3_0)=k13_lattice3(esk1_0,esk3_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_5, c_0_6]), c_0_7]), c_0_8]), c_0_9])])).
cnf(c_0_11, negated_conjecture, (m1_subset_1(esk2_0,u1_struct_0(esk1_0))), inference(split_conjunct,[status(thm)],[c_0_4])).
cnf(c_0_12, negated_conjecture, (k13_lattice3(esk1_0,esk2_0,esk3_0)!=k13_lattice3(esk1_0,esk3_0,esk2_0)), inference(split_conjunct,[status(thm)],[c_0_4])).
cnf(c_0_13, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_10, c_0_11]), c_0_12]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 14
# Proof object clause steps            : 9
# Proof object formula steps           : 5
# Proof object conjectures             : 11
# Proof object clause conjectures      : 8
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 7
# Proof object initial formulas used   : 2
# Proof object generating inferences   : 2
# Proof object simplifying inferences  : 5
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 2
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 10
# Removed in clause preprocessing      : 0
# Initial clauses in saturation        : 10
# Processed clauses                    : 21
# ...of these trivial                  : 0
# ...subsumed                          : 0
# ...remaining for further processing  : 21
# Other redundant clauses eliminated   : 0
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 0
# Backward-rewritten                   : 0
# Generated clauses                    : 3
# ...of the previous two non-trivial   : 2
# Contextual simplify-reflections      : 0
# Paramodulations                      : 3
# 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  : 11
#    Positive orientable unit clauses  : 7
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 2
#    Non-unit-clauses                  : 2
# Current number of unprocessed clauses: 1
# ...number of literals in the above   : 2
# Current number of archived formulas  : 0
# Current number of archived clauses   : 10
# Clause-clause subsumption calls (NU) : 0
# Rec. Clause-clause subsumption calls : 0
# Non-unit clause-clause subsumptions  : 0
# Unit Clause-clause subsumption calls : 0
# 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          : 716

# -------------------------------------------------
# User time                : 0.025 s
# System time              : 0.002 s
# Total time               : 0.027 s
# Maximum resident set size: 2952 pages
