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
0.10/0.38	% Computer : n010.cluster.edu
0.10/0.38	% Model    : x86_64 x86_64
0.10/0.38	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.10/0.38	% Memory   : 8046.5625MB
0.10/0.38	% OS       : Linux 6.8.0-71-generic
0.10/0.38	% CPULimit : 1440
0.10/0.38	% WCLimit  : 180
0.10/0.38	% DateTime : Mon Jul 27 13:05:04 UTC 2026
0.10/0.39	% CPUTime  : 
0.10/0.39	Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 180 THM
0.10/0.44	Running higher-order theorem proving
4.54/4.87	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.vDVzmvApiP/E---3.1_1129144.p
97.01/36.64	% Version: 3.5.1-ho
97.01/36.64	% partial match(1): HMLMSMSMSSLCHFA
97.01/36.64	% Preprocessing class: HMLMSMLMSSLCHFA.
97.01/36.64	% Scheduled 4 strats onto 8 cores with 179 seconds (1432 total)
97.01/36.64	% Starting new_ho_10 with 895s (5) cores
97.01/36.64	% Starting sh5l with 179s (1) cores
97.01/36.64	% Starting new_bool_1 with 179s (1) cores
97.01/36.64	% Starting new_bool_2 with 179s (1) cores
97.01/36.64	% new_bool_2 with pid 1129161 completed with status 0
97.01/36.64	% Result found by new_bool_2
97.01/36.64	% partial match(1): HMLMSMSMSSLCHFA
97.01/36.64	% Preprocessing class: HMLMSMLMSSLCHFA.
97.01/36.64	% Scheduled 4 strats onto 8 cores with 179 seconds (1432 total)
97.01/36.64	% Starting new_ho_10 with 895s (5) cores
97.01/36.64	% Starting sh5l with 179s (1) cores
97.01/36.64	% Starting new_bool_1 with 179s (1) cores
97.01/36.64	% Starting new_bool_2 with 179s (1) cores
97.01/36.64	% (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
97.01/36.64	% SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
97.01/36.64	% Search class: HGHSM-SMLM32-DHFFFFBN
97.01/36.64	% partial match(1): HGHSM-SMLM32-DHFFFSBN
97.01/36.64	% Scheduled 5 strats onto 1 cores with 177 seconds (177 total)
97.01/36.64	% Starting SubtermCWHack with 18s (1) cores
97.01/36.64	% SubtermCWHack with pid 1129163 completed with status 8
97.01/36.64	% Starting new_ho_10 with 107s (1) cores
97.01/36.64	% new_ho_10 with pid 1129325 completed with status 0
97.01/36.64	% Result found by new_ho_10
97.01/36.64	% partial match(1): HMLMSMSMSSLCHFA
97.01/36.64	% Preprocessing class: HMLMSMLMSSLCHFA.
97.01/36.64	% Scheduled 4 strats onto 8 cores with 179 seconds (1432 total)
97.01/36.64	% Starting new_ho_10 with 895s (5) cores
97.01/36.64	% Starting sh5l with 179s (1) cores
97.01/36.64	% Starting new_bool_1 with 179s (1) cores
97.01/36.64	% Starting new_bool_2 with 179s (1) cores
97.01/36.64	% (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
97.01/36.64	% SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
97.01/36.64	% Search class: HGHSM-SMLM32-DHFFFFBN
97.01/36.64	% partial match(1): HGHSM-SMLM32-DHFFFSBN
97.01/36.64	% Scheduled 5 strats onto 1 cores with 177 seconds (177 total)
97.01/36.64	% Starting SubtermCWHack with 18s (1) cores
97.01/36.64	% SubtermCWHack with pid 1129163 completed with status 8
97.01/36.64	% Starting new_ho_10 with 107s (1) cores
97.01/36.64	% Preprocessing time       : 0.166 s
97.01/36.64	% Presaturation interreduction done
97.01/36.64	
97.01/36.64	% Proof found!
97.01/36.64	% SZS status Theorem
97.01/36.64	% SZS output start CNFRefutation
97.01/36.64	thf(decl_sort1, type, real: $tType).
97.01/36.64	thf(decl_sort2, type, nat: $tType).
97.01/36.64	thf(decl_sort3, type, num: $tType).
97.01/36.64	thf(decl_sort4, type, vEBT_VEBT: $tType).
97.01/36.64	thf(decl_275, type, one_one_nat: nat).
97.01/36.64	thf(decl_298, type, times_times_real: real > real > real).
97.01/36.64	thf(decl_440, type, suc: nat > nat).
97.01/36.64	thf(decl_454, type, semiri5074537144036343181t_real: nat > real).
97.01/36.64	thf(decl_499, type, bit0: num > num).
97.01/36.64	thf(decl_500, type, bit1: num > num).
97.01/36.64	thf(decl_501, type, one: num).
97.01/36.64	thf(decl_509, type, numeral_numeral_nat: num > nat).
97.01/36.64	thf(decl_511, type, numeral_numeral_real: num > real).
97.01/36.64	thf(decl_552, type, ord_less_eq_real: real > real > $o).
97.01/36.64	thf(decl_656, type, divide_divide_nat: nat > nat > nat).
97.01/36.64	thf(decl_662, type, dvd_dvd_nat: nat > nat > $o).
97.01/36.64	thf(decl_787, type, vEBT_vebt_buildup: nat > vEBT_VEBT).
97.01/36.64	thf(decl_789, type, vEBT_V8646137997579335489_i_l_d: nat > nat).
97.01/36.64	thf(decl_793, type, vEBT_VEBT_cnt: vEBT_VEBT > real).
97.01/36.64	thf(decl_823, type, va: nat).
97.01/36.64	thf(fact_1__C3_OIH_C_I3_J, axiom, ![X2240:nat]:((~((dvd_dvd_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ (suc @ (suc @ va))))=>((ord_less_eq_real @ (semiri5074537144036343181t_real @ (vEBT_V8646137997579335489_i_l_d @ (suc @ X2240))) @ (times_times_real @ (vEBT_VEBT_cnt @ (vEBT_vebt_buildup @ (suc @ X2240))) @ (numeral_numeral_real @ (bit1 @ (bit0 @ (bit1 @ one))))))<=((X2240)=(divide_divide_nat @ (suc @ (suc @ va)) @ (numeral_numeral_nat @ (bit0 @ one))))))), file('/export/starexec/sandbox2/tmp/tmp.vDVzmvApiP/E---3.1_1129144.p', fact_1__C3_OIH_C_I3_J)).
97.01/36.64	thf(fact_5_div2__Suc__Suc, axiom, ![X20:nat]:(((divide_divide_nat @ (suc @ (suc @ X20)) @ (numeral_numeral_nat @ (bit0 @ one)))=(suc @ (divide_divide_nat @ X20 @ (numeral_numeral_nat @ (bit0 @ one)))))), file('/export/starexec/sandbox2/tmp/tmp.vDVzmvApiP/E---3.1_1129144.p', fact_5_div2__Suc__Suc)).
97.01/36.64	thf(fact_0_False, axiom, ~((dvd_dvd_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ (suc @ (suc @ va)))), file('/export/starexec/sandbox2/tmp/tmp.vDVzmvApiP/E---3.1_1129144.p', fact_0_False)).
97.01/36.64	thf(conj_0, conjecture, (ord_less_eq_real @ (semiri5074537144036343181t_real @ (vEBT_V8646137997579335489_i_l_d @ (suc @ (suc @ (divide_divide_nat @ va @ (numeral_numeral_nat @ (bit0 @ one))))))) @ (times_times_real @ (numeral_numeral_real @ (bit1 @ (bit0 @ (bit1 @ one)))) @ (vEBT_VEBT_cnt @ (vEBT_vebt_buildup @ (suc @ (suc @ (divide_divide_nat @ va @ (numeral_numeral_nat @ (bit0 @ one))))))))), file('/export/starexec/sandbox2/tmp/tmp.vDVzmvApiP/E---3.1_1129144.p', conj_0)).
97.01/36.64	thf(fact_1296_Suc__1, axiom, ((suc @ one_one_nat)=(numeral_numeral_nat @ (bit0 @ one))), file('/export/starexec/sandbox2/tmp/tmp.vDVzmvApiP/E---3.1_1129144.p', fact_1296_Suc__1)).
97.01/36.64	thf(fact_1045_mult_Ocommute, axiom, ((times_times_real)=(^[X2971:real, X2972:real]:(times_times_real @ X2972 @ X2971))), file('/export/starexec/sandbox2/tmp/tmp.vDVzmvApiP/E---3.1_1129144.p', fact_1045_mult_Ocommute)).
97.01/36.64	thf(c_0_6, plain, ![X2240:nat]:((~(dvd_dvd_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ (suc @ (suc @ va)))=>(((X2240)=(divide_divide_nat @ (suc @ (suc @ va)) @ (numeral_numeral_nat @ (bit0 @ one))))=>(ord_less_eq_real @ (semiri5074537144036343181t_real @ (vEBT_V8646137997579335489_i_l_d @ (suc @ X2240))) @ (times_times_real @ (vEBT_VEBT_cnt @ (vEBT_vebt_buildup @ (suc @ X2240))) @ (numeral_numeral_real @ (bit1 @ (bit0 @ (bit1 @ one))))))))), inference(fof_simplification,[status(thm)],[fact_1__C3_OIH_C_I3_J])).
97.01/36.65	thf(c_0_7, plain, ![X24893:nat]:(((divide_divide_nat @ (suc @ (suc @ X24893)) @ (numeral_numeral_nat @ (bit0 @ one)))=(suc @ (divide_divide_nat @ X24893 @ (numeral_numeral_nat @ (bit0 @ one)))))), inference(variable_rename,[status(thm)],[fact_5_div2__Suc__Suc])).
97.01/36.65	thf(c_0_8, plain, ~(dvd_dvd_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ (suc @ (suc @ va))), inference(fof_simplification,[status(thm)],[fact_0_False])).
97.01/36.65	thf(c_0_9, negated_conjecture, ~((ord_less_eq_real @ (semiri5074537144036343181t_real @ (vEBT_V8646137997579335489_i_l_d @ (suc @ (suc @ (divide_divide_nat @ va @ (numeral_numeral_nat @ (bit0 @ one))))))) @ (times_times_real @ (numeral_numeral_real @ (bit1 @ (bit0 @ (bit1 @ one)))) @ (vEBT_VEBT_cnt @ (vEBT_vebt_buildup @ (suc @ (suc @ (divide_divide_nat @ va @ (numeral_numeral_nat @ (bit0 @ one)))))))))), inference(assume_negation,[status(cth)],[conj_0])).
97.01/36.65	thf(c_0_10, plain, ![X25110:nat]:(((dvd_dvd_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ (suc @ (suc @ va)))|(((X25110)!=(divide_divide_nat @ (suc @ (suc @ va)) @ (numeral_numeral_nat @ (bit0 @ one))))|(ord_less_eq_real @ (semiri5074537144036343181t_real @ (vEBT_V8646137997579335489_i_l_d @ (suc @ X25110))) @ (times_times_real @ (vEBT_VEBT_cnt @ (vEBT_vebt_buildup @ (suc @ X25110))) @ (numeral_numeral_real @ (bit1 @ (bit0 @ (bit1 @ one))))))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])).
97.01/36.65	thf(c_0_11, plain, ![X7:nat]:(((divide_divide_nat @ (suc @ (suc @ X7)) @ (numeral_numeral_nat @ (bit0 @ one)))=(suc @ (divide_divide_nat @ X7 @ (numeral_numeral_nat @ (bit0 @ one)))))), inference(split_conjunct,[status(thm)],[c_0_7])).
97.01/36.65	thf(c_0_12, plain, ((suc @ one_one_nat)=(numeral_numeral_nat @ (bit0 @ one))), inference(split_conjunct,[status(thm)],[fact_1296_Suc__1])).
97.01/36.65	thf(c_0_13, plain, ~((dvd_dvd_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ (suc @ (suc @ va)))), inference(split_conjunct,[status(thm)],[c_0_8])).
97.01/36.65	thf(c_0_14, plain, ((times_times_real)=(^[Z0:real, Z1:real]:(times_times_real @ Z1 @ Z0))), inference(fof_simplification,[status(thm)],[fact_1045_mult_Ocommute])).
97.01/36.65	thf(c_0_15, negated_conjecture, ~(ord_less_eq_real @ (semiri5074537144036343181t_real @ (vEBT_V8646137997579335489_i_l_d @ (suc @ (suc @ (divide_divide_nat @ va @ (numeral_numeral_nat @ (bit0 @ one))))))) @ (times_times_real @ (numeral_numeral_real @ (bit1 @ (bit0 @ (bit1 @ one)))) @ (vEBT_VEBT_cnt @ (vEBT_vebt_buildup @ (suc @ (suc @ (divide_divide_nat @ va @ (numeral_numeral_nat @ (bit0 @ one))))))))), inference(fof_simplification,[status(thm)],[c_0_9])).
97.01/36.65	thf(c_0_16, plain, ![X7:nat]:(((dvd_dvd_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ (suc @ (suc @ va)))|(ord_less_eq_real @ (semiri5074537144036343181t_real @ (vEBT_V8646137997579335489_i_l_d @ (suc @ X7))) @ (times_times_real @ (vEBT_VEBT_cnt @ (vEBT_vebt_buildup @ (suc @ X7))) @ (numeral_numeral_real @ (bit1 @ (bit0 @ (bit1 @ one))))))|((X7)!=(divide_divide_nat @ (suc @ (suc @ va)) @ (numeral_numeral_nat @ (bit0 @ one)))))), inference(split_conjunct,[status(thm)],[c_0_10])).
97.01/36.65	thf(c_0_17, plain, ![X7:nat]:(((divide_divide_nat @ (suc @ (suc @ X7)) @ (suc @ one_one_nat))=(suc @ (divide_divide_nat @ X7 @ (suc @ one_one_nat))))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_11, c_0_12]), c_0_12])).
97.01/36.65	thf(c_0_18, plain, ~((dvd_dvd_nat @ (suc @ one_one_nat) @ (suc @ (suc @ va)))), inference(rw,[status(thm)],[c_0_13, c_0_12])).
97.01/36.65	thf(c_0_19, plain, ((times_times_real)=(^[Z0:real, Z1:real]:(times_times_real @ Z1 @ Z0))), inference(split_conjunct,[status(thm)],[c_0_14])).
97.01/36.65	thf(c_0_20, negated_conjecture, ~((ord_less_eq_real @ (semiri5074537144036343181t_real @ (vEBT_V8646137997579335489_i_l_d @ (suc @ (suc @ (divide_divide_nat @ va @ (numeral_numeral_nat @ (bit0 @ one))))))) @ (times_times_real @ (numeral_numeral_real @ (bit1 @ (bit0 @ (bit1 @ one)))) @ (vEBT_VEBT_cnt @ (vEBT_vebt_buildup @ (suc @ (suc @ (divide_divide_nat @ va @ (numeral_numeral_nat @ (bit0 @ one)))))))))), inference(split_conjunct,[status(thm)],[c_0_15])).
97.01/36.65	thf(c_0_21, plain, (ord_less_eq_real @ (semiri5074537144036343181t_real @ (vEBT_V8646137997579335489_i_l_d @ (suc @ (suc @ (divide_divide_nat @ va @ (suc @ one_one_nat)))))) @ (times_times_real @ (vEBT_VEBT_cnt @ (vEBT_vebt_buildup @ (suc @ (suc @ (divide_divide_nat @ va @ (suc @ one_one_nat)))))) @ (numeral_numeral_real @ (bit1 @ (bit0 @ (bit1 @ one)))))), inference(er,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_16, c_0_12]), c_0_12]), c_0_17]), c_0_18])])).
97.01/36.65	thf(c_0_22, plain, ![X6:real, X5:real]:(((times_times_real @ X5 @ X6)=(times_times_real @ X6 @ X5))), inference(arg_cong,[status(thm)],[c_0_19])).
97.01/36.65	thf(c_0_23, negated_conjecture, ~((ord_less_eq_real @ (semiri5074537144036343181t_real @ (vEBT_V8646137997579335489_i_l_d @ (suc @ (suc @ (divide_divide_nat @ va @ (suc @ one_one_nat)))))) @ (times_times_real @ (numeral_numeral_real @ (bit1 @ (bit0 @ (bit1 @ one)))) @ (vEBT_VEBT_cnt @ (vEBT_vebt_buildup @ (suc @ (suc @ (divide_divide_nat @ va @ (suc @ one_one_nat))))))))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_20, c_0_12]), c_0_12])).
97.01/36.65	thf(c_0_24, plain, ($false), inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_21, c_0_22]), c_0_23]), ['proof']).
97.01/36.65	% SZS output end CNFRefutation
97.01/36.65	% Parsed axioms                        : 11117
97.01/36.65	% Removed by relevancy pruning/SinE    : 6712
97.01/36.65	% Initial clauses                      : 9627
97.01/36.65	% Removed in clause preprocessing      : 1594
97.01/36.65	% Initial clauses in saturation        : 8033
97.01/36.65	% Processed clauses                    : 10965
97.01/36.65	% ...of these trivial                  : 399
97.01/36.65	% ...subsumed                          : 2572
97.01/36.65	% ...remaining for further processing  : 7993
97.01/36.65	% Other redundant clauses eliminated   : 1668
97.01/36.65	% Clauses deleted for lack of memory   : 0
97.01/36.65	% Backward-subsumed                    : 63
97.01/36.65	% Backward-rewritten                   : 111
97.01/36.65	% Generated clauses                    : 11027
97.01/36.65	% ...of the previous two non-redundant : 7875
97.01/36.65	% ...aggressively subsumed             : 0
97.01/36.65	% Contextual simplify-reflections      : 79
97.01/36.65	% Paramodulations                      : 9486
97.01/36.65	% Factorizations                       : 2
97.01/36.65	% NegExts                              : 0
97.01/36.65	% Equation resolutions                 : 1701
97.01/36.65	% Disequality decompositions           : 0
97.01/36.65	% Total rewrite steps                  : 9731
97.01/36.65	% ...of those cached                   : 8331
97.01/36.65	% Propositional unsat checks           : 0
97.01/36.65	%    Propositional check models        : 0
97.01/36.65	%    Propositional check unsatisfiable : 0
97.01/36.65	%    Propositional clauses             : 0
97.01/36.65	%    Propositional clauses after purity: 0
97.01/36.65	%    Propositional unsat core size     : 0
97.01/36.65	%    Propositional preprocessing time  : 0.000
97.01/36.65	%    Propositional encoding time       : 0.000
97.01/36.65	%    Propositional solver time         : 0.000
97.01/36.65	%    Success case prop preproc time    : 0.000
97.01/36.65	%    Success case prop encoding time   : 0.000
97.01/36.65	%    Success case prop solver time     : 0.000
97.01/36.65	% Current number of processed clauses  : 1499
97.01/36.65	%    Positive orientable unit clauses  : 583
97.01/36.65	%    Positive unorientable unit clauses: 5
97.01/36.65	%    Negative unit clauses             : 223
97.01/36.65	%    Non-unit-clauses                  : 688
97.01/36.65	% Current number of unprocessed clauses: 10122
97.01/36.65	% ...number of literals in the above   : 26776
97.01/36.65	% Current number of archived formulas  : 0
97.01/36.65	% Current number of archived clauses   : 5360
97.01/36.65	% Clause-clause subsumption calls (NU) : 15720597
97.01/36.65	% Rec. Clause-clause subsumption calls : 2127542
97.01/36.65	% Non-unit clause-clause subsumptions  : 1930
97.01/36.65	% Unit Clause-clause subsumption calls : 69041
97.01/36.65	% Rewrite failures with RHS unbound    : 0
97.01/36.65	% BW rewrite match attempts            : 924
97.01/36.65	% BW rewrite match successes           : 302
97.01/36.65	% Condensation attempts                : 10965
97.01/36.65	% Condensation successes               : 50
97.01/36.65	% Termbank termtop insertions          : 2419021
97.01/36.65	% Search garbage collected termcells   : 171349
97.01/36.65	
97.01/36.65	% -------------------------------------------------
97.01/36.65	% User time                : 29.863 s
97.01/36.65	% System time              : 0.476 s
97.01/36.65	% Total time               : 30.339 s
97.01/36.65	% Maximum resident set size: 44588 pages
97.01/36.65	
97.01/36.65	% -------------------------------------------------
97.01/36.65	% User time                : 31.049 s
97.01/36.65	% System time              : 0.513 s
97.01/36.65	% Total time               : 31.562 s
97.01/36.65	% Maximum resident set size: 24832 pages
97.01/36.65	% E exiting
97.01/36.65	EOF
