# 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       : 0.021 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__t13_latwal_2', redefinition_r3_orders_2)).
fof(t23_yellow_0, axiom, ![X1]:(((v5_orders_2(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))=>![X4]:(m1_subset_1(X4,u1_struct_0(X1))=>(X4=k12_lattice3(X1,X2,X3)<=>((r1_orders_2(X1,X4,X2)&r1_orders_2(X1,X4,X3))&![X5]:(m1_subset_1(X5,u1_struct_0(X1))=>((r1_orders_2(X1,X5,X2)&r1_orders_2(X1,X5,X3))=>r1_orders_2(X1,X5,X4))))))))), file('latwal_2/latwal_2__t13_latwal_2', t23_yellow_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__t13_latwal_2', dt_k12_lattice3)).
fof(t13_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))=>![X4]:(m1_subset_1(X4,u1_struct_0(X1))=>((r3_orders_2(X1,X4,X2)&r3_orders_2(X1,X4,X3))=>r3_orders_2(X1,X4,k12_lattice3(X1,X2,X3))))))), file('latwal_2/latwal_2__t13_latwal_2', t13_latwal_2)).
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, plain, ![X31, X32, X33, X34, X35]:((((r1_orders_2(X31,X34,X32)|X34!=k12_lattice3(X31,X32,X33)|~m1_subset_1(X34,u1_struct_0(X31))|~m1_subset_1(X33,u1_struct_0(X31))|~m1_subset_1(X32,u1_struct_0(X31))|(~v5_orders_2(X31)|~v2_lattice3(X31)|~l1_orders_2(X31)))&(r1_orders_2(X31,X34,X33)|X34!=k12_lattice3(X31,X32,X33)|~m1_subset_1(X34,u1_struct_0(X31))|~m1_subset_1(X33,u1_struct_0(X31))|~m1_subset_1(X32,u1_struct_0(X31))|(~v5_orders_2(X31)|~v2_lattice3(X31)|~l1_orders_2(X31))))&(~m1_subset_1(X35,u1_struct_0(X31))|(~r1_orders_2(X31,X35,X32)|~r1_orders_2(X31,X35,X33)|r1_orders_2(X31,X35,X34))|X34!=k12_lattice3(X31,X32,X33)|~m1_subset_1(X34,u1_struct_0(X31))|~m1_subset_1(X33,u1_struct_0(X31))|~m1_subset_1(X32,u1_struct_0(X31))|(~v5_orders_2(X31)|~v2_lattice3(X31)|~l1_orders_2(X31))))&((m1_subset_1(esk5_4(X31,X32,X33,X34),u1_struct_0(X31))|(~r1_orders_2(X31,X34,X32)|~r1_orders_2(X31,X34,X33))|X34=k12_lattice3(X31,X32,X33)|~m1_subset_1(X34,u1_struct_0(X31))|~m1_subset_1(X33,u1_struct_0(X31))|~m1_subset_1(X32,u1_struct_0(X31))|(~v5_orders_2(X31)|~v2_lattice3(X31)|~l1_orders_2(X31)))&(((r1_orders_2(X31,esk5_4(X31,X32,X33,X34),X32)|(~r1_orders_2(X31,X34,X32)|~r1_orders_2(X31,X34,X33))|X34=k12_lattice3(X31,X32,X33)|~m1_subset_1(X34,u1_struct_0(X31))|~m1_subset_1(X33,u1_struct_0(X31))|~m1_subset_1(X32,u1_struct_0(X31))|(~v5_orders_2(X31)|~v2_lattice3(X31)|~l1_orders_2(X31)))&(r1_orders_2(X31,esk5_4(X31,X32,X33,X34),X33)|(~r1_orders_2(X31,X34,X32)|~r1_orders_2(X31,X34,X33))|X34=k12_lattice3(X31,X32,X33)|~m1_subset_1(X34,u1_struct_0(X31))|~m1_subset_1(X33,u1_struct_0(X31))|~m1_subset_1(X32,u1_struct_0(X31))|(~v5_orders_2(X31)|~v2_lattice3(X31)|~l1_orders_2(X31))))&(~r1_orders_2(X31,esk5_4(X31,X32,X33,X34),X34)|(~r1_orders_2(X31,X34,X32)|~r1_orders_2(X31,X34,X33))|X34=k12_lattice3(X31,X32,X33)|~m1_subset_1(X34,u1_struct_0(X31))|~m1_subset_1(X33,u1_struct_0(X31))|~m1_subset_1(X32,u1_struct_0(X31))|(~v5_orders_2(X31)|~v2_lattice3(X31)|~l1_orders_2(X31)))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t23_yellow_0])])])])])).
fof(c_0_6, plain, ![X28, X29, X30]:(~v5_orders_2(X28)|~v2_lattice3(X28)|~l1_orders_2(X28)|~m1_subset_1(X29,u1_struct_0(X28))|~m1_subset_1(X30,u1_struct_0(X28))|m1_subset_1(k12_lattice3(X28,X29,X30),u1_struct_0(X28))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k12_lattice3])])).
fof(c_0_7, 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))=>![X4]:(m1_subset_1(X4,u1_struct_0(X1))=>((r3_orders_2(X1,X4,X2)&r3_orders_2(X1,X4,X3))=>r3_orders_2(X1,X4,k12_lattice3(X1,X2,X3)))))))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t13_latwal_2])])).
fof(c_0_8, plain, ![X25, X26, X27]:((~r3_orders_2(X25,X26,X27)|r1_orders_2(X25,X26,X27)|(v2_struct_0(X25)|~v3_orders_2(X25)|~l1_orders_2(X25)|~m1_subset_1(X26,u1_struct_0(X25))|~m1_subset_1(X27,u1_struct_0(X25))))&(~r1_orders_2(X25,X26,X27)|r3_orders_2(X25,X26,X27)|(v2_struct_0(X25)|~v3_orders_2(X25)|~l1_orders_2(X25)|~m1_subset_1(X26,u1_struct_0(X25))|~m1_subset_1(X27,u1_struct_0(X25))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])])).
cnf(c_0_9, plain, (r1_orders_2(X2,X1,X5)|~m1_subset_1(X1,u1_struct_0(X2))|~r1_orders_2(X2,X1,X3)|~r1_orders_2(X2,X1,X4)|X5!=k12_lattice3(X2,X3,X4)|~m1_subset_1(X5,u1_struct_0(X2))|~m1_subset_1(X4,u1_struct_0(X2))|~m1_subset_1(X3,u1_struct_0(X2))|~v5_orders_2(X2)|~v2_lattice3(X2)|~l1_orders_2(X2)), inference(split_conjunct,[status(thm)],[c_0_5])).
cnf(c_0_10, 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_6])).
fof(c_0_11, 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))&(m1_subset_1(esk4_0,u1_struct_0(esk1_0))&((r3_orders_2(esk1_0,esk4_0,esk2_0)&r3_orders_2(esk1_0,esk4_0,esk3_0))&~r3_orders_2(esk1_0,esk4_0,k12_lattice3(esk1_0,esk2_0,esk3_0))))))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])])).
cnf(c_0_12, 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_8])).
cnf(c_0_13, plain, (r1_orders_2(X1,X2,k12_lattice3(X1,X3,X4))|~r1_orders_2(X1,X2,X4)|~r1_orders_2(X1,X2,X3)|~m1_subset_1(X4,u1_struct_0(X1))|~m1_subset_1(X3,u1_struct_0(X1))|~m1_subset_1(X2,u1_struct_0(X1))|~l1_orders_2(X1)|~v2_lattice3(X1)|~v5_orders_2(X1)), inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_9]), c_0_10])).
cnf(c_0_14, negated_conjecture, (m1_subset_1(esk4_0,u1_struct_0(esk1_0))), inference(split_conjunct,[status(thm)],[c_0_11])).
cnf(c_0_15, negated_conjecture, (l1_orders_2(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_11])).
cnf(c_0_16, negated_conjecture, (v2_lattice3(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_11])).
cnf(c_0_17, negated_conjecture, (v5_orders_2(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_11])).
cnf(c_0_18, plain, (r3_orders_2(X1,X2,k12_lattice3(X1,X3,X4))|v2_struct_0(X1)|~r1_orders_2(X1,X2,k12_lattice3(X1,X3,X4))|~m1_subset_1(X2,u1_struct_0(X1))|~m1_subset_1(X4,u1_struct_0(X1))|~m1_subset_1(X3,u1_struct_0(X1))|~l1_orders_2(X1)|~v2_lattice3(X1)|~v5_orders_2(X1)|~v3_orders_2(X1)), inference(spm,[status(thm)],[c_0_12, c_0_10])).
cnf(c_0_19, negated_conjecture, (r1_orders_2(esk1_0,esk4_0,k12_lattice3(esk1_0,X1,X2))|~r1_orders_2(esk1_0,esk4_0,X2)|~r1_orders_2(esk1_0,esk4_0,X1)|~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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13, c_0_14]), c_0_15]), c_0_16]), c_0_17])])).
cnf(c_0_20, negated_conjecture, (v3_orders_2(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_11])).
cnf(c_0_21, negated_conjecture, (~v2_struct_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_11])).
cnf(c_0_22, 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_8])).
cnf(c_0_23, negated_conjecture, (r3_orders_2(esk1_0,esk4_0,esk3_0)), inference(split_conjunct,[status(thm)],[c_0_11])).
cnf(c_0_24, negated_conjecture, (m1_subset_1(esk3_0,u1_struct_0(esk1_0))), inference(split_conjunct,[status(thm)],[c_0_11])).
cnf(c_0_25, negated_conjecture, (r3_orders_2(esk1_0,esk4_0,esk2_0)), inference(split_conjunct,[status(thm)],[c_0_11])).
cnf(c_0_26, negated_conjecture, (m1_subset_1(esk2_0,u1_struct_0(esk1_0))), inference(split_conjunct,[status(thm)],[c_0_11])).
cnf(c_0_27, negated_conjecture, (~r3_orders_2(esk1_0,esk4_0,k12_lattice3(esk1_0,esk2_0,esk3_0))), inference(split_conjunct,[status(thm)],[c_0_11])).
cnf(c_0_28, negated_conjecture, (r3_orders_2(esk1_0,esk4_0,k12_lattice3(esk1_0,X1,X2))|~r1_orders_2(esk1_0,esk4_0,X2)|~r1_orders_2(esk1_0,esk4_0,X1)|~m1_subset_1(X2,u1_struct_0(esk1_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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18, c_0_19]), c_0_14]), c_0_15]), c_0_16]), c_0_17]), c_0_20])]), c_0_21])).
cnf(c_0_29, negated_conjecture, (r1_orders_2(esk1_0,esk4_0,esk3_0)), inference(sr,[status(thm)],[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_22, c_0_23]), c_0_24]), c_0_14]), c_0_15]), c_0_20])]), c_0_21])).
cnf(c_0_30, negated_conjecture, (r1_orders_2(esk1_0,esk4_0,esk2_0)), inference(sr,[status(thm)],[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_22, c_0_25]), c_0_26]), c_0_14]), c_0_15]), c_0_20])]), c_0_21])).
cnf(c_0_31, negated_conjecture, ($false), 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_27, c_0_28]), c_0_29]), c_0_30]), c_0_24]), c_0_26])]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 32
# Proof object clause steps            : 22
# Proof object formula steps           : 10
# Proof object conjectures             : 19
# Proof object clause conjectures      : 16
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 15
# Proof object initial formulas used   : 4
# Proof object generating inferences   : 6
# Proof object simplifying inferences  : 30
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 4
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 22
# Removed in clause preprocessing      : 0
# Initial clauses in saturation        : 22
# Processed clauses                    : 55
# ...of these trivial                  : 0
# ...subsumed                          : 0
# ...remaining for further processing  : 55
# Other redundant clauses eliminated   : 3
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 0
# Backward-rewritten                   : 0
# Generated clauses                    : 27
# ...of the previous two non-trivial   : 23
# Contextual simplify-reflections      : 3
# Paramodulations                      : 24
# 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  : 30
#    Positive orientable unit clauses  : 12
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 2
#    Non-unit-clauses                  : 16
# Current number of unprocessed clauses: 11
# ...number of literals in the above   : 116
# Current number of archived formulas  : 0
# Current number of archived clauses   : 22
# Clause-clause subsumption calls (NU) : 334
# Rec. Clause-clause subsumption calls : 13
# Non-unit clause-clause subsumptions  : 3
# Unit Clause-clause subsumption calls : 0
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 3
# BW rewrite match successes           : 0
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 3467

# -------------------------------------------------
# User time                : 0.022 s
# System time              : 0.004 s
# Total time               : 0.026 s
# Maximum resident set size: 3708 pages
