# 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       : 0.020 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
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__t1_latwal_2', redefinition_r3_orders_2)).
fof(t1_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,X3)<=>k13_lattice3(X1,X2,X3)=X3)))), file('latwal_2/latwal_2__t1_latwal_2', t1_latwal_2)).
fof(t24_yellow_0, axiom, ![X1]:((((v3_orders_2(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))=>(X2=k13_lattice3(X1,X2,X3)<=>r1_orders_2(X1,X3,X2))))), file('latwal_2/latwal_2__t1_latwal_2', t24_yellow_0)).
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__t1_latwal_2', commutativity_k13_lattice3)).
fof(c_0_4, 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_5, 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,X3)<=>k13_lattice3(X1,X2,X3)=X3))))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t1_latwal_2])])).
fof(c_0_6, plain, ![X22, X23, X24]:((~r3_orders_2(X22,X23,X24)|r1_orders_2(X22,X23,X24)|(v2_struct_0(X22)|~v3_orders_2(X22)|~l1_orders_2(X22)|~m1_subset_1(X23,u1_struct_0(X22))|~m1_subset_1(X24,u1_struct_0(X22))))&(~r1_orders_2(X22,X23,X24)|r3_orders_2(X22,X23,X24)|(v2_struct_0(X22)|~v3_orders_2(X22)|~l1_orders_2(X22)|~m1_subset_1(X23,u1_struct_0(X22))|~m1_subset_1(X24,u1_struct_0(X22))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])])).
fof(c_0_7, 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,esk3_0)|k13_lattice3(esk1_0,esk2_0,esk3_0)!=esk3_0)&(r3_orders_2(esk1_0,esk2_0,esk3_0)|k13_lattice3(esk1_0,esk2_0,esk3_0)=esk3_0))))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])])).
cnf(c_0_8, 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_6])).
cnf(c_0_9, negated_conjecture, (m1_subset_1(esk3_0,u1_struct_0(esk1_0))), inference(split_conjunct,[status(thm)],[c_0_7])).
cnf(c_0_10, negated_conjecture, (l1_orders_2(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_7])).
cnf(c_0_11, negated_conjecture, (v3_orders_2(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_7])).
cnf(c_0_12, negated_conjecture, (~v2_struct_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_7])).
fof(c_0_13, plain, ![X25, X26, X27]:((X26!=k13_lattice3(X25,X26,X27)|r1_orders_2(X25,X27,X26)|~m1_subset_1(X27,u1_struct_0(X25))|~m1_subset_1(X26,u1_struct_0(X25))|(~v3_orders_2(X25)|~v5_orders_2(X25)|~v1_lattice3(X25)|~l1_orders_2(X25)))&(~r1_orders_2(X25,X27,X26)|X26=k13_lattice3(X25,X26,X27)|~m1_subset_1(X27,u1_struct_0(X25))|~m1_subset_1(X26,u1_struct_0(X25))|(~v3_orders_2(X25)|~v5_orders_2(X25)|~v1_lattice3(X25)|~l1_orders_2(X25)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t24_yellow_0])])])])).
cnf(c_0_14, plain, (r1_orders_2(X1,X2,X3)|v2_struct_0(X1)|~r3_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_6])).
cnf(c_0_15, negated_conjecture, (r3_orders_2(esk1_0,X1,esk3_0)|~r1_orders_2(esk1_0,X1,esk3_0)|~m1_subset_1(X1,u1_struct_0(esk1_0))), inference(sr,[status(thm)],[inference(cn,[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])).
cnf(c_0_16, plain, (r1_orders_2(X2,X3,X1)|X1!=k13_lattice3(X2,X1,X3)|~m1_subset_1(X3,u1_struct_0(X2))|~m1_subset_1(X1,u1_struct_0(X2))|~v3_orders_2(X2)|~v5_orders_2(X2)|~v1_lattice3(X2)|~l1_orders_2(X2)), inference(split_conjunct,[status(thm)],[c_0_13])).
cnf(c_0_17, negated_conjecture, (v1_lattice3(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_7])).
cnf(c_0_18, negated_conjecture, (v5_orders_2(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_7])).
fof(c_0_19, plain, ![X19, X20, X21]:(~v5_orders_2(X19)|~v1_lattice3(X19)|~l1_orders_2(X19)|~m1_subset_1(X20,u1_struct_0(X19))|~m1_subset_1(X21,u1_struct_0(X19))|k13_lattice3(X19,X20,X21)=k13_lattice3(X19,X21,X20)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[commutativity_k13_lattice3])])).
cnf(c_0_20, plain, (X3=k13_lattice3(X1,X3,X2)|~r1_orders_2(X1,X2,X3)|~m1_subset_1(X2,u1_struct_0(X1))|~m1_subset_1(X3,u1_struct_0(X1))|~v3_orders_2(X1)|~v5_orders_2(X1)|~v1_lattice3(X1)|~l1_orders_2(X1)), inference(split_conjunct,[status(thm)],[c_0_13])).
cnf(c_0_21, negated_conjecture, (r1_orders_2(esk1_0,X1,esk3_0)|~r3_orders_2(esk1_0,X1,esk3_0)|~m1_subset_1(X1,u1_struct_0(esk1_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14, c_0_9]), c_0_10]), c_0_11])]), c_0_12])).
cnf(c_0_22, negated_conjecture, (~r3_orders_2(esk1_0,esk2_0,esk3_0)|k13_lattice3(esk1_0,esk2_0,esk3_0)!=esk3_0), inference(split_conjunct,[status(thm)],[c_0_7])).
cnf(c_0_23, negated_conjecture, (r3_orders_2(esk1_0,X1,esk3_0)|k13_lattice3(esk1_0,esk3_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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15, c_0_16]), c_0_9]), c_0_10]), c_0_17]), c_0_18]), c_0_11])])).
cnf(c_0_24, negated_conjecture, (m1_subset_1(esk2_0,u1_struct_0(esk1_0))), inference(split_conjunct,[status(thm)],[c_0_7])).
cnf(c_0_25, 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_19])).
cnf(c_0_26, negated_conjecture, (k13_lattice3(esk1_0,esk3_0,X1)=esk3_0|~r3_orders_2(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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20, c_0_21]), c_0_9]), c_0_10]), c_0_17]), c_0_18]), c_0_11])])).
cnf(c_0_27, negated_conjecture, (r3_orders_2(esk1_0,esk2_0,esk3_0)|k13_lattice3(esk1_0,esk2_0,esk3_0)=esk3_0), inference(split_conjunct,[status(thm)],[c_0_7])).
cnf(c_0_28, negated_conjecture, (k13_lattice3(esk1_0,esk2_0,esk3_0)!=esk3_0|k13_lattice3(esk1_0,esk3_0,esk2_0)!=esk3_0), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22, c_0_23]), c_0_24])])).
cnf(c_0_29, 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_25, c_0_9]), c_0_10]), c_0_17]), c_0_18])])).
cnf(c_0_30, negated_conjecture, (k13_lattice3(esk1_0,esk2_0,esk3_0)=esk3_0|k13_lattice3(esk1_0,esk3_0,esk2_0)=esk3_0), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26, c_0_27]), c_0_24])])).
cnf(c_0_31, negated_conjecture, (k13_lattice3(esk1_0,esk3_0,esk2_0)!=esk3_0), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28, c_0_29]), c_0_24])])).
cnf(c_0_32, negated_conjecture, (k13_lattice3(esk1_0,esk2_0,esk3_0)=esk3_0), inference(sr,[status(thm)],[c_0_30, c_0_31])).
cnf(c_0_33, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29, c_0_32]), c_0_24])]), c_0_31]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 34
# Proof object clause steps            : 24
# Proof object formula steps           : 10
# Proof object conjectures             : 22
# Proof object clause conjectures      : 19
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 14
# Proof object initial formulas used   : 4
# Proof object generating inferences   : 9
# Proof object simplifying inferences  : 34
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 4
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 15
# Removed in clause preprocessing      : 0
# Initial clauses in saturation        : 15
# Processed clauses                    : 43
# ...of these trivial                  : 0
# ...subsumed                          : 0
# ...remaining for further processing  : 43
# Other redundant clauses eliminated   : 0
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 0
# Backward-rewritten                   : 3
# Generated clauses                    : 23
# ...of the previous two non-trivial   : 17
# Contextual simplify-reflections      : 0
# Paramodulations                      : 22
# 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  : 24
#    Positive orientable unit clauses  : 8
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 2
#    Non-unit-clauses                  : 14
# Current number of unprocessed clauses: 1
# ...number of literals in the above   : 2
# Current number of archived formulas  : 0
# Current number of archived clauses   : 19
# Clause-clause subsumption calls (NU) : 18
# Rec. Clause-clause subsumption calls : 14
# Non-unit clause-clause subsumptions  : 0
# Unit Clause-clause subsumption calls : 5
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 2
# BW rewrite match successes           : 1
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 2099

# -------------------------------------------------
# User time                : 0.020 s
# System time              : 0.004 s
# Total time               : 0.024 s
# Maximum resident set size: 3004 pages
