0.00/0.06	% Problem  : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.00/0.09	% Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 180 THM
0.21/0.46	% Computer : n025.cluster.edu
0.21/0.46	% Model    : x86_64 x86_64
0.21/0.46	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.21/0.46	% Memory   : 8046.5625MB
0.21/0.46	% OS       : Linux 6.8.0-71-generic
0.21/0.46	% CPULimit : 1440
0.21/0.46	% WCLimit  : 180
0.21/0.46	% DateTime : Mon Jul 27 13:14:43 UTC 2026
0.21/0.46	% CPUTime  : 
0.21/0.47	Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 180 THM
0.24/0.55	Running higher-order theorem proving
4.21/4.57	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.mu4Ct19XZI/E---3.1_2656433.p
65.58/26.28	% Version: 3.5.1-ho
65.58/26.28	% partial match(1): HMLMSMSMSSLCHFA
65.58/26.28	% Preprocessing class: HMLMSMLMSSLCHFA.
65.58/26.28	% Scheduled 4 strats onto 8 cores with 179 seconds (1432 total)
65.58/26.28	% Starting new_ho_10 with 895s (5) cores
65.58/26.28	% Starting sh5l with 179s (1) cores
65.58/26.28	% Starting new_bool_1 with 179s (1) cores
65.58/26.28	% Starting new_bool_2 with 179s (1) cores
65.58/26.28	% new_bool_2 with pid 2656449 completed with status 0
65.58/26.28	% Result found by new_bool_2
65.58/26.28	% partial match(1): HMLMSMSMSSLCHFA
65.58/26.28	% Preprocessing class: HMLMSMLMSSLCHFA.
65.58/26.28	% Scheduled 4 strats onto 8 cores with 179 seconds (1432 total)
65.58/26.28	% Starting new_ho_10 with 895s (5) cores
65.58/26.28	% Starting sh5l with 179s (1) cores
65.58/26.28	% Starting new_bool_1 with 179s (1) cores
65.58/26.28	% Starting new_bool_2 with 179s (1) cores
65.58/26.28	% (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
65.58/26.28	% SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
65.58/26.28	% Search class: HGHSM-SMLM32-DHFFFSBN
65.58/26.28	% Scheduled 5 strats onto 1 cores with 177 seconds (177 total)
65.58/26.28	% Starting SubtermCWHack with 18s (1) cores
65.58/26.28	% SubtermCWHack with pid 2656450 completed with status 0
65.58/26.28	% Result found by SubtermCWHack
65.58/26.28	% partial match(1): HMLMSMSMSSLCHFA
65.58/26.28	% Preprocessing class: HMLMSMLMSSLCHFA.
65.58/26.28	% Scheduled 4 strats onto 8 cores with 179 seconds (1432 total)
65.58/26.28	% Starting new_ho_10 with 895s (5) cores
65.58/26.28	% Starting sh5l with 179s (1) cores
65.58/26.28	% Starting new_bool_1 with 179s (1) cores
65.58/26.28	% Starting new_bool_2 with 179s (1) cores
65.58/26.28	% (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
65.58/26.28	% SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
65.58/26.28	% Search class: HGHSM-SMLM32-DHFFFSBN
65.58/26.28	% Scheduled 5 strats onto 1 cores with 177 seconds (177 total)
65.58/26.28	% Starting SubtermCWHack with 18s (1) cores
65.58/26.28	% Preprocessing time       : 0.126 s
65.58/26.28	
65.58/26.28	% Proof found!
65.58/26.28	% SZS status Theorem
65.58/26.28	% SZS output start CNFRefutation
65.58/26.28	thf(decl_sort1, type, nat: $tType).
65.58/26.28	thf(decl_sort2, type, num: $tType).
65.58/26.28	thf(decl_528, type, bit0: num > num).
65.58/26.28	thf(decl_530, type, one: num).
65.58/26.28	thf(decl_538, type, numeral_numeral_nat: num > nat).
65.58/26.28	thf(decl_594, type, ord_less_eq_nat: nat > nat > $o).
65.58/26.28	thf(decl_712, type, divide_divide_nat: nat > nat > nat).
65.58/26.28	thf(decl_843, type, vEBT_VEBT_high: nat > nat > nat).
65.58/26.28	thf(decl_904, type, deg: nat).
65.58/26.28	thf(decl_909, type, na: nat).
65.58/26.28	thf(decl_914, type, xa: nat).
65.58/26.28	thf(decl_915, type, za: nat).
65.58/26.28	thf(conj_0, conjecture, ((vEBT_VEBT_high @ xa @ (divide_divide_nat @ deg @ (numeral_numeral_nat @ (bit0 @ one))))=(vEBT_VEBT_high @ za @ (divide_divide_nat @ deg @ (numeral_numeral_nat @ (bit0 @ one))))), file('/export/starexec/sandbox2/tmp/tmp.mu4Ct19XZI/E---3.1_2656433.p', conj_0)).
65.58/26.28	thf(fact_589_le__antisym, axiom, ![X29:nat, X19:nat]:(((((X29)=(X19))<=(ord_less_eq_nat @ X19 @ X29))<=(ord_less_eq_nat @ X29 @ X19))), file('/export/starexec/sandbox2/tmp/tmp.mu4Ct19XZI/E---3.1_2656433.p', fact_589_le__antisym)).
65.58/26.28	thf(fact_0_bbbb, axiom, (ord_less_eq_nat @ (vEBT_VEBT_high @ za @ (divide_divide_nat @ deg @ (numeral_numeral_nat @ (bit0 @ one)))) @ (vEBT_VEBT_high @ xa @ (divide_divide_nat @ deg @ (numeral_numeral_nat @ (bit0 @ one))))), file('/export/starexec/sandbox2/tmp/tmp.mu4Ct19XZI/E---3.1_2656433.p', fact_0_bbbb)).
65.58/26.28	thf(fact_5__092_060open_062deg_Adiv_A2_A_061_An_092_060close_062, axiom, ((divide_divide_nat @ deg @ (numeral_numeral_nat @ (bit0 @ one)))=(na)), file('/export/starexec/sandbox2/tmp/tmp.mu4Ct19XZI/E---3.1_2656433.p', fact_5__092_060open_062deg_Adiv_A2_A_061_An_092_060close_062)).
65.58/26.28	thf(fact_2_aaaa, axiom, (ord_less_eq_nat @ (vEBT_VEBT_high @ xa @ (divide_divide_nat @ deg @ (numeral_numeral_nat @ (bit0 @ one)))) @ (vEBT_VEBT_high @ za @ (divide_divide_nat @ deg @ (numeral_numeral_nat @ (bit0 @ one))))), file('/export/starexec/sandbox2/tmp/tmp.mu4Ct19XZI/E---3.1_2656433.p', fact_2_aaaa)).
65.58/26.28	thf(c_0_5, negated_conjecture, ~(((vEBT_VEBT_high @ xa @ (divide_divide_nat @ deg @ (numeral_numeral_nat @ (bit0 @ one))))=(vEBT_VEBT_high @ za @ (divide_divide_nat @ deg @ (numeral_numeral_nat @ (bit0 @ one)))))), inference(assume_negation,[status(cth)],[conj_0])).
65.58/26.28	thf(c_0_6, plain, ![X29:nat, X19:nat]:(((ord_less_eq_nat @ X29 @ X19)=>((ord_less_eq_nat @ X19 @ X29)=>((X29)=(X19))))), inference(fof_simplification,[status(thm)],[fact_589_le__antisym])).
65.58/26.28	thf(c_0_7, negated_conjecture, ((vEBT_VEBT_high @ xa @ (divide_divide_nat @ deg @ (numeral_numeral_nat @ (bit0 @ one))))!=(vEBT_VEBT_high @ za @ (divide_divide_nat @ deg @ (numeral_numeral_nat @ (bit0 @ one))))), inference(fof_simplification,[status(thm)],[c_0_5])).
65.58/26.28	thf(c_0_8, plain, ![X25318:nat, X25319:nat]:((~(ord_less_eq_nat @ X25318 @ X25319)|(~(ord_less_eq_nat @ X25319 @ X25318)|((X25318)=(X25319))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])).
65.58/26.28	thf(c_0_9, plain, (ord_less_eq_nat @ (vEBT_VEBT_high @ za @ (divide_divide_nat @ deg @ (numeral_numeral_nat @ (bit0 @ one)))) @ (vEBT_VEBT_high @ xa @ (divide_divide_nat @ deg @ (numeral_numeral_nat @ (bit0 @ one))))), inference(split_conjunct,[status(thm)],[fact_0_bbbb])).
65.58/26.28	thf(c_0_10, plain, ((divide_divide_nat @ deg @ (numeral_numeral_nat @ (bit0 @ one)))=(na)), inference(split_conjunct,[status(thm)],[fact_5__092_060open_062deg_Adiv_A2_A_061_An_092_060close_062])).
65.58/26.28	thf(c_0_11, plain, (ord_less_eq_nat @ (vEBT_VEBT_high @ xa @ (divide_divide_nat @ deg @ (numeral_numeral_nat @ (bit0 @ one)))) @ (vEBT_VEBT_high @ za @ (divide_divide_nat @ deg @ (numeral_numeral_nat @ (bit0 @ one))))), inference(split_conjunct,[status(thm)],[fact_2_aaaa])).
65.58/26.28	thf(c_0_12, negated_conjecture, ((vEBT_VEBT_high @ xa @ (divide_divide_nat @ deg @ (numeral_numeral_nat @ (bit0 @ one))))!=(vEBT_VEBT_high @ za @ (divide_divide_nat @ deg @ (numeral_numeral_nat @ (bit0 @ one))))), inference(split_conjunct,[status(thm)],[c_0_7])).
65.58/26.28	thf(c_0_13, plain, ![X4:nat, X3:nat]:((((X3)=(X4))|~((ord_less_eq_nat @ X3 @ X4))|~((ord_less_eq_nat @ X4 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_8])).
65.58/26.28	thf(c_0_14, plain, (ord_less_eq_nat @ (vEBT_VEBT_high @ za @ na) @ (vEBT_VEBT_high @ xa @ na)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_9, c_0_10]), c_0_10])).
65.58/26.28	thf(c_0_15, plain, (ord_less_eq_nat @ (vEBT_VEBT_high @ xa @ na) @ (vEBT_VEBT_high @ za @ na)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_11, c_0_10]), c_0_10])).
65.58/26.28	thf(c_0_16, negated_conjecture, ((vEBT_VEBT_high @ za @ na)!=(vEBT_VEBT_high @ xa @ na)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_12, c_0_10]), c_0_10])).
65.58/26.28	thf(c_0_17, plain, ($false), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13, c_0_14]), c_0_15])]), c_0_16]), ['proof']).
65.58/26.28	% SZS output end CNFRefutation
65.58/26.28	% Parsed axioms                        : 11234
65.58/26.28	% Removed by relevancy pruning/SinE    : 7424
65.58/26.28	% Initial clauses                      : 9410
65.58/26.28	% Removed in clause preprocessing      : 1911
65.58/26.28	% Initial clauses in saturation        : 7499
65.58/26.28	% Processed clauses                    : 52030
65.58/26.28	% ...of these trivial                  : 11508
65.58/26.28	% ...subsumed                          : 26061
65.58/26.28	% ...remaining for further processing  : 14461
65.58/26.28	% Other redundant clauses eliminated   : 2161
65.58/26.28	% Clauses deleted for lack of memory   : 0
65.58/26.28	% Backward-subsumed                    : 298
65.58/26.28	% Backward-rewritten                   : 500
65.58/26.28	% Generated clauses                    : 340600
65.58/26.28	% ...of the previous two non-redundant : 283223
65.58/26.28	% ...aggressively subsumed             : 0
65.58/26.28	% Contextual simplify-reflections      : 52
65.58/26.28	% Paramodulations                      : 338242
65.58/26.28	% Factorizations                       : 32
65.58/26.28	% NegExts                              : 0
65.58/26.28	% Equation resolutions                 : 2257
65.58/26.28	% Disequality decompositions           : 0
65.58/26.28	% Total rewrite steps                  : 128304
65.58/26.28	% ...of those cached                   : 109264
65.58/26.28	% Propositional unsat checks           : 0
65.58/26.28	%    Propositional check models        : 0
65.58/26.28	%    Propositional check unsatisfiable : 0
65.58/26.28	%    Propositional clauses             : 0
65.58/26.28	%    Propositional clauses after purity: 0
65.58/26.28	%    Propositional unsat core size     : 0
65.58/26.28	%    Propositional preprocessing time  : 0.000
65.58/26.28	%    Propositional encoding time       : 0.000
65.58/26.28	%    Propositional solver time         : 0.000
65.58/26.28	%    Success case prop preproc time    : 0.000
65.58/26.28	%    Success case prop encoding time   : 0.000
65.58/26.28	%    Success case prop solver time     : 0.000
65.58/26.28	% Current number of processed clauses  : 13021
65.58/26.28	%    Positive orientable unit clauses  : 5419
65.58/26.28	%    Positive unorientable unit clauses: 45
65.58/26.28	%    Negative unit clauses             : 4449
65.58/26.28	%    Non-unit-clauses                  : 3108
65.58/26.28	% Current number of unprocessed clauses: 237792
65.58/26.28	% ...number of literals in the above   : 592068
65.58/26.28	% Current number of archived formulas  : 0
65.58/26.28	% Current number of archived clauses   : 802
65.58/26.28	% Clause-clause subsumption calls (NU) : 2603656
65.58/26.28	% Rec. Clause-clause subsumption calls : 1745872
65.58/26.28	% Non-unit clause-clause subsumptions  : 4101
65.58/26.28	% Unit Clause-clause subsumption calls : 9705509
65.58/26.28	% Rewrite failures with RHS unbound    : 0
65.58/26.28	% BW rewrite match attempts            : 22326
65.58/26.28	% BW rewrite match successes           : 687
65.58/26.28	% Condensation attempts                : 0
65.58/26.28	% Condensation successes               : 0
65.58/26.28	% Termbank termtop insertions          : 4712765
65.58/26.28	% Search garbage collected termcells   : 170644
65.58/26.28	
65.58/26.28	% -------------------------------------------------
65.58/26.28	% User time                : 19.477 s
65.58/26.28	% System time              : 0.359 s
65.58/26.28	% Total time               : 19.836 s
65.58/26.28	% Maximum resident set size: 45484 pages
65.58/26.28	
65.58/26.28	% -------------------------------------------------
65.58/26.28	% User time                : 21.091 s
65.58/26.28	% System time              : 0.408 s
65.58/26.28	% Total time               : 21.499 s
65.58/26.28	% Maximum resident set size: 26112 pages
65.58/26.28	% E exiting
65.58/26.28	EOF
