0.00/0.03	% Problem  : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.00/0.05	% Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 180 THM
0.14/0.39	% Computer : n023.cluster.edu
0.14/0.39	% Model    : x86_64 x86_64
0.14/0.39	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.14/0.39	% Memory   : 8046.5625MB
0.14/0.39	% OS       : Linux 6.8.0-71-generic
0.14/0.39	% CPULimit : 1440
0.14/0.39	% WCLimit  : 180
0.14/0.39	% DateTime : Mon Jul 27 10:16:36 UTC 2026
0.14/0.39	% CPUTime  : 
0.14/0.39	Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 180 THM
0.14/0.46	Running higher-order theorem proving
0.20/0.48	Running: /export/starexec/sandbox2/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=180 /export/starexec/sandbox2/tmp/tmp.jOtU48p0N2/E---3.1_746550.p
0.20/0.51	% Version: 3.5.1-ho
0.20/0.51	% Preprocessing class: HSMSSMSSMLMNHSN.
0.20/0.51	% Scheduled 4 strats onto 8 cores with 180 seconds (1440 total)
0.20/0.51	% Starting ho_unfolding_3 with 900s (5) cores
0.20/0.51	% Starting ehoh_best2_full_lfho with 180s (1) cores
0.20/0.51	% Starting almost_fo_3_lam with 180s (1) cores
0.20/0.51	% Starting post_as_ho1 with 180s (1) cores
0.20/0.51	% ho_unfolding_3 with pid 746563 completed with status 0
0.20/0.51	% Result found by ho_unfolding_3
0.20/0.51	% Preprocessing class: HSMSSMSSMLMNHSN.
0.20/0.51	% Scheduled 4 strats onto 8 cores with 180 seconds (1440 total)
0.20/0.51	% Starting ho_unfolding_3 with 900s (5) cores
0.20/0.51	% (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
0.20/0.51	% No SInE strategy applied
0.20/0.51	% Search class: HHUNF-FFSS00-SHSSMFNN
0.20/0.51	% Scheduled 7 strats onto 5 cores with 900 seconds (900 total)
0.20/0.51	% Starting SubtermCWHack with 82s (1) cores
0.20/0.51	% Starting ho_unfolding_3 with 91s (1) cores
0.20/0.51	% Starting sh5l with 82s (1) cores
0.20/0.51	% Starting ehoh_best_sine_rwall with 82s (1) cores
0.20/0.51	% Starting lpo1_def_fix with 82s (1) cores
0.20/0.51	% ehoh_best_sine_rwall with pid 746570 completed with status 0
0.20/0.51	% Result found by ehoh_best_sine_rwall
0.20/0.51	% Preprocessing class: HSMSSMSSMLMNHSN.
0.20/0.51	% Scheduled 4 strats onto 8 cores with 180 seconds (1440 total)
0.20/0.51	% Starting ho_unfolding_3 with 900s (5) cores
0.20/0.51	% (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
0.20/0.51	% No SInE strategy applied
0.20/0.51	% Search class: HHUNF-FFSS00-SHSSMFNN
0.20/0.51	% Scheduled 7 strats onto 5 cores with 900 seconds (900 total)
0.20/0.51	% Starting SubtermCWHack with 82s (1) cores
0.20/0.51	% Starting ho_unfolding_3 with 91s (1) cores
0.20/0.51	% Starting sh5l with 82s (1) cores
0.20/0.51	% Starting ehoh_best_sine_rwall with 82s (1) cores
0.20/0.51	% Preprocessing time       : 0.001 s
0.20/0.51	% Presaturation interreduction done
0.20/0.51	
0.20/0.51	% Proof found!
0.20/0.51	% SZS status Theorem
0.20/0.51	% SZS output start CNFRefutation
0.20/0.51	thf(decl_25, type, mnot: ($i > $o) > $i > $o).
0.20/0.51	thf(decl_26, type, mor: ($i > $o) > ($i > $o) > $i > $o).
0.20/0.51	thf(decl_28, type, mimplies: ($i > $o) > ($i > $o) > $i > $o).
0.20/0.51	thf(decl_41, type, msymmetric: ($i > $i > $o) > $o).
0.20/0.51	thf(decl_43, type, mtransitive: ($i > $i > $o) > $o).
0.20/0.51	thf(decl_50, type, mvalid: ($i > $o) > $o).
0.20/0.51	thf(decl_54, type, rel_s5: $i > $i > $o).
0.20/0.51	thf(decl_55, type, mbox_s5: ($i > $o) > $i > $o).
0.20/0.51	thf(decl_57, type, p: $i > $o).
0.20/0.51	thf(decl_58, type, q: $i > $o).
0.20/0.51	thf(decl_59, type, esk1_0: $i).
0.20/0.51	thf(decl_60, type, esk2_0: $i).
0.20/0.51	thf(decl_61, type, esk3_0: $i).
0.20/0.51	thf(decl_62, type, esk4_0: $i).
0.20/0.51	thf(decl_63, type, esk5_0: $i).
0.20/0.51	thf(mimplies, axiom, ((mimplies)=(^[X6:$i > $o, X7:$i > $o]:(mor @ (mnot @ X6) @ X7))), file('/export/starexec/sandbox2/tmp/tmp.jOtU48p0N2/E---3.1_746550.p', mimplies)).
0.20/0.51	thf(mnot, axiom, ((mnot)=(^[X6:$i > $o, X3:$i]:(~((X6 @ X3))))), file('/export/starexec/sandbox2/tmp/tmp.jOtU48p0N2/E---3.1_746550.p', mnot)).
0.20/0.51	thf(mor, axiom, ((mor)=(^[X6:$i > $o, X7:$i > $o, X3:$i]:((((X6 @ X3))|((X7 @ X3)))))), file('/export/starexec/sandbox2/tmp/tmp.jOtU48p0N2/E---3.1_746550.p', mor)).
0.20/0.51	thf(mtransitive, axiom, ((mtransitive)=(^[X13:$i > $i > $o]:(![X15:$i, X16:$i, X17:$i]:((((((X13 @ X15 @ X16))&((X13 @ X16 @ X17))))=>((X13 @ X15 @ X17))))))), file('/export/starexec/sandbox2/tmp/tmp.jOtU48p0N2/E---3.1_746550.p', mtransitive)).
0.20/0.51	thf(prove, conjecture, (mvalid @ (mor @ (mbox_s5 @ (mimplies @ (mbox_s5 @ p) @ (mbox_s5 @ q))) @ (mbox_s5 @ (mimplies @ (mbox_s5 @ q) @ (mbox_s5 @ p))))), file('/export/starexec/sandbox2/tmp/tmp.jOtU48p0N2/E---3.1_746550.p', prove)).
0.20/0.51	thf(mvalid, axiom, ((mvalid)=(^[X6:$i > $o]:(![X3:$i]:((X6 @ X3))))), file('/export/starexec/sandbox2/tmp/tmp.jOtU48p0N2/E---3.1_746550.p', mvalid)).
0.20/0.51	thf(mbox_s5, axiom, ((mbox_s5)=(^[X6:$i > $o, X3:$i]:(![X14:$i]:(((~((rel_s5 @ X3 @ X14)))|((X6 @ X14))))))), file('/export/starexec/sandbox2/tmp/tmp.jOtU48p0N2/E---3.1_746550.p', mbox_s5)).
0.20/0.51	thf(msymmetric, axiom, ((msymmetric)=(^[X13:$i > $i > $o]:(![X15:$i, X16:$i]:((((X13 @ X15 @ X16))=>((X13 @ X16 @ X15))))))), file('/export/starexec/sandbox2/tmp/tmp.jOtU48p0N2/E---3.1_746550.p', msymmetric)).
0.20/0.51	thf(a2, axiom, (mtransitive @ rel_s5), file('/export/starexec/sandbox2/tmp/tmp.jOtU48p0N2/E---3.1_746550.p', a2)).
0.20/0.51	thf(a3, axiom, (msymmetric @ rel_s5), file('/export/starexec/sandbox2/tmp/tmp.jOtU48p0N2/E---3.1_746550.p', a3)).
0.20/0.51	thf(c_0_10, plain, ((mimplies)=(^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((((~((Z0 @ Z2))))|((Z1 @ Z2)))))), inference(fof_simplification,[status(thm)],[mimplies])).
0.20/0.51	thf(c_0_11, plain, ((mnot)=(^[Z0:$i > $o, Z1:$i]:(~((Z0 @ Z1))))), inference(fof_simplification,[status(thm)],[mnot])).
0.20/0.51	thf(c_0_12, plain, ((mor)=(^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((((Z0 @ Z2))|((Z1 @ Z2)))))), inference(fof_simplification,[status(thm)],[mor])).
0.20/0.51	thf(c_0_13, plain, ((mtransitive)=(^[Z0:$i > $i > $o]:(![X15:$i, X16:$i, X17:$i]:((((((Z0 @ X15 @ X16))&((Z0 @ X16 @ X17))))=>((Z0 @ X15 @ X17))))))), inference(fof_simplification,[status(thm)],[mtransitive])).
0.20/0.51	thf(c_0_14, negated_conjecture, ~((mvalid @ (mor @ (mbox_s5 @ (mimplies @ (mbox_s5 @ p) @ (mbox_s5 @ q))) @ (mbox_s5 @ (mimplies @ (mbox_s5 @ q) @ (mbox_s5 @ p)))))), inference(assume_negation,[status(cth)],[prove])).
0.20/0.51	thf(c_0_15, plain, ((mimplies)=(^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((((~((Z0 @ Z2))))|((Z1 @ Z2)))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_10, c_0_11]), c_0_12])).
0.20/0.51	thf(c_0_16, plain, ((mvalid)=(^[Z0:$i > $o]:(![X3:$i]:((Z0 @ X3))))), inference(fof_simplification,[status(thm)],[mvalid])).
0.20/0.51	thf(c_0_17, plain, ((mbox_s5)=(^[Z0:$i > $o, Z1:$i]:(![X14:$i]:(((~((rel_s5 @ Z1 @ X14)))|((Z0 @ X14))))))), inference(fof_simplification,[status(thm)],[mbox_s5])).
0.20/0.51	thf(c_0_18, plain, ((msymmetric)=(^[Z0:$i > $i > $o]:(![X15:$i, X16:$i]:((((Z0 @ X15 @ X16))=>((Z0 @ X16 @ X15))))))), inference(fof_simplification,[status(thm)],[msymmetric])).
0.20/0.51	thf(c_0_19, plain, ![X23:$i, X24:$i, X25:$i]:((((rel_s5 @ X23 @ X24)&(rel_s5 @ X24 @ X25))=>(rel_s5 @ X23 @ X25))), inference(apply_def,[status(thm)],[a2, c_0_13])).
0.20/0.51	thf(c_0_20, negated_conjecture, ~(![X34:$i]:((![X30:$i]:((~(rel_s5 @ X34 @ X30)|(~(![X28:$i]:((~(rel_s5 @ X30 @ X28)|(p @ X28))))|![X29:$i]:((~(rel_s5 @ X30 @ X29)|(q @ X29))))))|![X33:$i]:((~(rel_s5 @ X34 @ X33)|(~(![X31:$i]:((~(rel_s5 @ X33 @ X31)|(q @ X31))))|![X32:$i]:((~(rel_s5 @ X33 @ X32)|(p @ X32))))))))), inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_14, c_0_12]), c_0_15]), c_0_16]), c_0_17])])).
0.20/0.51	thf(c_0_21, plain, ![X26:$i, X27:$i]:(((rel_s5 @ X26 @ X27)=>(rel_s5 @ X27 @ X26))), inference(apply_def,[status(thm)],[a3, c_0_18])).
0.20/0.51	thf(c_0_22, plain, ![X36:$i, X37:$i, X38:$i]:((~(rel_s5 @ X36 @ X37)|~(rel_s5 @ X37 @ X38)|(rel_s5 @ X36 @ X38))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_19])])])).
0.20/0.51	thf(c_0_23, negated_conjecture, ![X43:$i, X46:$i]:((((rel_s5 @ esk1_0 @ esk2_0)&((~(rel_s5 @ esk2_0 @ X43)|(p @ X43))&((rel_s5 @ esk2_0 @ esk3_0)&~(q @ esk3_0))))&((rel_s5 @ esk1_0 @ esk4_0)&((~(rel_s5 @ esk4_0 @ X46)|(q @ X46))&((rel_s5 @ esk4_0 @ esk5_0)&~(p @ esk5_0)))))), inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_20])])])])])).
0.20/0.51	thf(c_0_24, plain, ![X39:$i, X40:$i]:((~(rel_s5 @ X39 @ X40)|(rel_s5 @ X40 @ X39))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_21])])])).
0.20/0.51	thf(c_0_25, plain, ![X3:$i, X14:$i, X15:$i]:(((rel_s5 @ X3 @ X15)|~((rel_s5 @ X3 @ X14))|~((rel_s5 @ X14 @ X15)))), inference(split_conjunct,[status(thm)],[c_0_22])).
0.20/0.51	thf(c_0_26, negated_conjecture, (rel_s5 @ esk1_0 @ esk4_0), inference(split_conjunct,[status(thm)],[c_0_23])).
0.20/0.51	thf(c_0_27, plain, ![X3:$i, X14:$i]:(((rel_s5 @ X14 @ X3)|~((rel_s5 @ X3 @ X14)))), inference(split_conjunct,[status(thm)],[c_0_24])).
0.20/0.51	thf(c_0_28, negated_conjecture, (rel_s5 @ esk1_0 @ esk2_0), inference(split_conjunct,[status(thm)],[c_0_23])).
0.20/0.51	thf(c_0_29, negated_conjecture, ~((p @ esk5_0)), inference(split_conjunct,[status(thm)],[c_0_23])).
0.20/0.51	thf(c_0_30, negated_conjecture, ![X3:$i]:(((p @ X3)|~((rel_s5 @ esk2_0 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_23])).
0.20/0.51	thf(c_0_31, negated_conjecture, (rel_s5 @ esk4_0 @ esk5_0), inference(split_conjunct,[status(thm)],[c_0_23])).
0.20/0.51	thf(c_0_32, negated_conjecture, ![X3:$i]:(((rel_s5 @ X3 @ esk4_0)|~((rel_s5 @ X3 @ esk1_0)))), inference(spm,[status(thm)],[c_0_25, c_0_26])).
0.20/0.51	thf(c_0_33, negated_conjecture, (rel_s5 @ esk2_0 @ esk1_0), inference(spm,[status(thm)],[c_0_27, c_0_28])).
0.20/0.51	thf(c_0_34, negated_conjecture, ~((rel_s5 @ esk2_0 @ esk5_0)), inference(spm,[status(thm)],[c_0_29, c_0_30])).
0.20/0.51	thf(c_0_35, negated_conjecture, ![X3:$i]:(((rel_s5 @ X3 @ esk5_0)|~((rel_s5 @ X3 @ esk4_0)))), inference(spm,[status(thm)],[c_0_25, c_0_31])).
0.20/0.51	thf(c_0_36, negated_conjecture, (rel_s5 @ esk2_0 @ esk4_0), inference(spm,[status(thm)],[c_0_32, c_0_33])).
0.20/0.51	thf(c_0_37, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34, c_0_35]), c_0_36])]), ['proof']).
0.20/0.51	% SZS output end CNFRefutation
0.20/0.51	% Parsed axioms                        : 74
0.20/0.51	% Removed by relevancy pruning/SinE    : 0
0.20/0.51	% Initial clauses                      : 48
0.20/0.51	% Removed in clause preprocessing      : 37
0.20/0.51	% Initial clauses in saturation        : 11
0.20/0.51	% Processed clauses                    : 34
0.20/0.51	% ...of these trivial                  : 0
0.20/0.51	% ...subsumed                          : 0
0.20/0.51	% ...remaining for further processing  : 34
0.20/0.51	% Other redundant clauses eliminated   : 0
0.20/0.51	% Clauses deleted for lack of memory   : 0
0.20/0.51	% Backward-subsumed                    : 0
0.20/0.51	% Backward-rewritten                   : 0
0.20/0.51	% Generated clauses                    : 35
0.20/0.51	% ...of the previous two non-redundant : 18
0.20/0.51	% ...aggressively subsumed             : 0
0.20/0.51	% Contextual simplify-reflections      : 0
0.20/0.51	% Paramodulations                      : 35
0.20/0.51	% Factorizations                       : 0
0.20/0.51	% NegExts                              : 0
0.20/0.51	% Equation resolutions                 : 0
0.20/0.51	% Disequality decompositions           : 0
0.20/0.51	% Total rewrite steps                  : 13
0.20/0.51	% ...of those cached                   : 3
0.20/0.51	% Propositional unsat checks           : 0
0.20/0.51	%    Propositional check models        : 0
0.20/0.51	%    Propositional check unsatisfiable : 0
0.20/0.51	%    Propositional clauses             : 0
0.20/0.51	%    Propositional clauses after purity: 0
0.20/0.51	%    Propositional unsat core size     : 0
0.20/0.51	%    Propositional preprocessing time  : 0.000
0.20/0.51	%    Propositional encoding time       : 0.000
0.20/0.51	%    Propositional solver time         : 0.000
0.20/0.51	%    Success case prop preproc time    : 0.000
0.20/0.51	%    Success case prop encoding time   : 0.000
0.20/0.51	%    Success case prop solver time     : 0.000
0.20/0.51	% Current number of processed clauses  : 23
0.20/0.51	%    Positive orientable unit clauses  : 11
0.20/0.51	%    Positive unorientable unit clauses: 0
0.20/0.51	%    Negative unit clauses             : 4
0.20/0.51	%    Non-unit-clauses                  : 8
0.20/0.51	% Current number of unprocessed clauses: 6
0.20/0.51	% ...number of literals in the above   : 12
0.20/0.51	% Current number of archived formulas  : 0
0.20/0.51	% Current number of archived clauses   : 11
0.20/0.51	% Clause-clause subsumption calls (NU) : 12
0.20/0.51	% Rec. Clause-clause subsumption calls : 12
0.20/0.51	% Non-unit clause-clause subsumptions  : 0
0.20/0.51	% Unit Clause-clause subsumption calls : 1
0.20/0.51	% Rewrite failures with RHS unbound    : 0
0.20/0.51	% BW rewrite match attempts            : 8
0.20/0.51	% BW rewrite match successes           : 0
0.20/0.51	% Condensation attempts                : 0
0.20/0.51	% Condensation successes               : 0
0.20/0.51	% Termbank termtop insertions          : 3129
0.20/0.51	% Search garbage collected termcells   : 605
0.20/0.51	
0.20/0.51	% -------------------------------------------------
0.20/0.51	% User time                : 0.005 s
0.20/0.51	% System time              : 0.005 s
0.20/0.51	% Total time               : 0.010 s
0.20/0.51	% Maximum resident set size: 3700 pages
0.20/0.51	
0.20/0.51	% -------------------------------------------------
0.20/0.51	% User time                : 0.022 s
0.20/0.51	% System time              : 0.016 s
0.20/0.51	% Total time               : 0.037 s
0.20/0.51	% Maximum resident set size: 4864 pages
0.20/0.51	% E exiting
0.20/0.52	EOF