# 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(t8_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))=>k12_lattice3(X1,k13_lattice3(X1,X2,X3),X2)=X2))), file('latwal_2/latwal_2__t8_latwal_2', t8_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__t8_latwal_2', commutativity_k12_lattice3)).
fof(t18_lattice3, axiom, ![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))=>k12_lattice3(X1,X2,k13_lattice3(X1,X2,X3))=X2))), file('latwal_2/latwal_2__t8_latwal_2', t18_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__t8_latwal_2', dt_k13_lattice3)).
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))=>k12_lattice3(X1,k13_lattice3(X1,X2,X3),X2)=X2)))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t8_latwal_2])])).
fof(c_0_5, 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))&k12_lattice3(esk1_0,k13_lattice3(esk1_0,esk2_0,esk3_0),esk2_0)!=esk2_0))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])])).
fof(c_0_6, plain, ![X19, X20, X21]:(~v5_orders_2(X19)|~v2_lattice3(X19)|~l1_orders_2(X19)|~m1_subset_1(X20,u1_struct_0(X19))|~m1_subset_1(X21,u1_struct_0(X19))|k12_lattice3(X19,X20,X21)=k12_lattice3(X19,X21,X20)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[commutativity_k12_lattice3])])).
cnf(c_0_7, negated_conjecture, (k12_lattice3(esk1_0,k13_lattice3(esk1_0,esk2_0,esk3_0),esk2_0)!=esk2_0), inference(split_conjunct,[status(thm)],[c_0_5])).
cnf(c_0_8, 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_6])).
cnf(c_0_9, negated_conjecture, (m1_subset_1(esk2_0,u1_struct_0(esk1_0))), inference(split_conjunct,[status(thm)],[c_0_5])).
cnf(c_0_10, negated_conjecture, (l1_orders_2(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_5])).
cnf(c_0_11, negated_conjecture, (v2_lattice3(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_5])).
cnf(c_0_12, negated_conjecture, (v5_orders_2(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_5])).
fof(c_0_13, plain, ![X25, X26, X27]:(~v3_orders_2(X25)|~v5_orders_2(X25)|~v1_lattice3(X25)|~v2_lattice3(X25)|~l1_orders_2(X25)|(~m1_subset_1(X26,u1_struct_0(X25))|(~m1_subset_1(X27,u1_struct_0(X25))|k12_lattice3(X25,X26,k13_lattice3(X25,X26,X27))=X26))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t18_lattice3])])])).
cnf(c_0_14, negated_conjecture, (k12_lattice3(esk1_0,esk2_0,k13_lattice3(esk1_0,esk2_0,esk3_0))!=esk2_0|~m1_subset_1(k13_lattice3(esk1_0,esk2_0,esk3_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(spm,[status(thm)],[c_0_7, c_0_8]), c_0_9]), c_0_10]), c_0_11]), c_0_12])])).
cnf(c_0_15, plain, (k12_lattice3(X1,X2,k13_lattice3(X1,X2,X3))=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_13])).
cnf(c_0_16, negated_conjecture, (m1_subset_1(esk3_0,u1_struct_0(esk1_0))), inference(split_conjunct,[status(thm)],[c_0_5])).
cnf(c_0_17, negated_conjecture, (v1_lattice3(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_5])).
cnf(c_0_18, negated_conjecture, (v3_orders_2(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_5])).
fof(c_0_19, plain, ![X22, X23, X24]:(~v5_orders_2(X22)|~v1_lattice3(X22)|~l1_orders_2(X22)|~m1_subset_1(X23,u1_struct_0(X22))|~m1_subset_1(X24,u1_struct_0(X22))|m1_subset_1(k13_lattice3(X22,X23,X24),u1_struct_0(X22))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k13_lattice3])])).
cnf(c_0_20, negated_conjecture, (~m1_subset_1(k13_lattice3(esk1_0,esk2_0,esk3_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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14, c_0_15]), c_0_16]), c_0_9]), c_0_10]), c_0_11]), c_0_17]), c_0_12]), c_0_18])])).
cnf(c_0_21, 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_19])).
cnf(c_0_22, 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_20, c_0_21]), c_0_16]), c_0_9]), c_0_10]), c_0_17]), c_0_12])]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 23
# Proof object clause steps            : 14
# Proof object formula steps           : 9
# 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                      : 12
# Removed in clause preprocessing      : 0
# Initial clauses in saturation        : 12
# Processed clauses                    : 27
# ...of these trivial                  : 0
# ...subsumed                          : 1
# ...remaining for further processing  : 26
# Other redundant clauses eliminated   : 0
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 0
# Backward-rewritten                   : 0
# Generated clauses                    : 4
# ...of the previous two non-trivial   : 3
# Contextual simplify-reflections      : 0
# Paramodulations                      : 4
# 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  : 14
#    Positive orientable unit clauses  : 7
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 3
#    Non-unit-clauses                  : 4
# Current number of unprocessed clauses: 0
# ...number of literals in the above   : 0
# Current number of archived formulas  : 0
# Current number of archived clauses   : 12
# Clause-clause subsumption calls (NU) : 1
# Rec. Clause-clause subsumption calls : 1
# Non-unit clause-clause subsumptions  : 1
# Unit Clause-clause subsumption calls : 1
# 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          : 1342

# -------------------------------------------------
# User time                : 0.021 s
# System time              : 0.007 s
# Total time               : 0.027 s
# Maximum resident set size: 3688 pages
