0.00/0.09	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.00/0.09	% Command    : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 240 THM
0.08/0.29	% Computer : n028.cluster.edu
0.08/0.29	% Model    : x86_64 x86_64
0.08/0.29	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.08/0.29	% Memory   : 8042.1875MB
0.08/0.29	% OS       : Linux 3.10.0-693.el7.x86_64
0.08/0.29	% CPULimit   : 1920
0.08/0.29	% WCLimit    : 240
0.08/0.29	% DateTime   : Wed Jul 30 02:07:34 EDT 2025
0.08/0.29	% CPUTime    : 
0.14/0.39	Running higher-order theorem proving
0.14/0.44	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=240 /export/starexec/sandbox2/tmp/tmp.txtUwNhYLG/E---3.1_2854.p
0.14/0.57	# Version: 3.0.0-ho
0.14/0.57	# Preprocessing class: HSLSSMSSSSMNHFA.
0.14/0.57	# Scheduled 4 strats onto 8 cores with 240 seconds (1920 total)
0.14/0.57	# Starting pre_casc_2 with 1200s (5) cores
0.14/0.57	# Starting sh3 with 240s (1) cores
0.14/0.57	# Starting new_ho_10_cnf2 with 240s (1) cores
0.14/0.57	# Starting new_bool_3 with 240s (1) cores
0.14/0.57	# new_bool_3 with pid 2936 completed with status 0
0.14/0.57	# Result found by new_bool_3
0.14/0.57	# Preprocessing class: HSLSSMSSSSMNHFA.
0.14/0.57	# Scheduled 4 strats onto 8 cores with 240 seconds (1920 total)
0.14/0.57	# Starting pre_casc_2 with 1200s (5) cores
0.14/0.57	# Starting sh3 with 240s (1) cores
0.14/0.57	# Starting new_ho_10_cnf2 with 240s (1) cores
0.14/0.57	# Starting new_bool_3 with 240s (1) cores
0.14/0.57	# SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
0.14/0.57	# Search class: HGHSM-FSLM32-DHFFFSBN
0.14/0.57	# Scheduled 6 strats onto 1 cores with 240 seconds (240 total)
0.14/0.57	# Starting new_ho_10 with 130s (1) cores
0.14/0.57	# new_ho_10 with pid 2937 completed with status 0
0.14/0.57	# Result found by new_ho_10
0.14/0.57	# Preprocessing class: HSLSSMSSSSMNHFA.
0.14/0.57	# Scheduled 4 strats onto 8 cores with 240 seconds (1920 total)
0.14/0.57	# Starting pre_casc_2 with 1200s (5) cores
0.14/0.57	# Starting sh3 with 240s (1) cores
0.14/0.57	# Starting new_ho_10_cnf2 with 240s (1) cores
0.14/0.57	# Starting new_bool_3 with 240s (1) cores
0.14/0.57	# SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
0.14/0.57	# Search class: HGHSM-FSLM32-DHFFFSBN
0.14/0.57	# Scheduled 6 strats onto 1 cores with 240 seconds (240 total)
0.14/0.57	# Starting new_ho_10 with 130s (1) cores
0.14/0.57	# Preprocessing time       : 0.010 s
0.14/0.57	# Presaturation interreduction done
0.14/0.57	
0.14/0.57	# Proof found!
0.14/0.57	# SZS status Theorem
0.14/0.57	# SZS output start CNFRefutation
0.14/0.57	thf(decl_sort1, type, list_list_a: $tType).
0.14/0.57	thf(decl_sort2, type, list_a: $tType).
0.14/0.57	thf(decl_sort3, type, nat: $tType).
0.14/0.57	thf(decl_42, type, listSl1174287072ice2_a: list_a > nat > list_list_a).
0.14/0.57	thf(decl_47, type, listSl97544552lice_a: list_a > nat > list_list_a).
0.14/0.57	thf(decl_82, type, nth_list_a: list_list_a > nat > list_a).
0.14/0.57	thf(decl_97, type, size_size_list_a: list_a > nat).
0.14/0.57	thf(decl_98, type, ord_less_nat: nat > nat > $o).
0.14/0.57	thf(decl_106, type, divide_divide_nat: nat > nat > nat).
0.14/0.57	thf(decl_115, type, k: nat).
0.14/0.57	thf(decl_116, type, m: nat).
0.14/0.57	thf(decl_117, type, xs: list_a).
0.14/0.57	thf(conj_1, conjecture, ((size_size_list_a @ (nth_list_a @ (listSl1174287072ice2_a @ xs @ k) @ m))=(k)), file('/export/starexec/sandbox2/tmp/tmp.txtUwNhYLG/E---3.1_2854.p', conj_1)).
0.14/0.57	thf(fact_19_list__slice2__list__slice__nth, axiom, ![X34:nat, X4:list_a, X13:nat]:(((ord_less_nat @ X34 @ (divide_divide_nat @ (size_size_list_a @ X4) @ X13))=>((nth_list_a @ (listSl1174287072ice2_a @ X4 @ X13) @ X34)=(nth_list_a @ (listSl97544552lice_a @ X4 @ X13) @ X34)))), file('/export/starexec/sandbox2/tmp/tmp.txtUwNhYLG/E---3.1_2854.p', fact_19_list__slice2__list__slice__nth)).
0.14/0.57	thf(fact_30_list__slice__nth__length, axiom, ![X34:nat, X4:list_a, X13:nat]:((((size_size_list_a @ (nth_list_a @ (listSl97544552lice_a @ X4 @ X13) @ X34))=(X13))<=(ord_less_nat @ X34 @ (divide_divide_nat @ (size_size_list_a @ X4) @ X13)))), file('/export/starexec/sandbox2/tmp/tmp.txtUwNhYLG/E---3.1_2854.p', fact_30_list__slice__nth__length)).
0.14/0.57	thf(conj_0, hypothesis, (ord_less_nat @ m @ (divide_divide_nat @ (size_size_list_a @ xs) @ k)), file('/export/starexec/sandbox2/tmp/tmp.txtUwNhYLG/E---3.1_2854.p', conj_0)).
0.14/0.57	thf(c_0_4, negated_conjecture, ((size_size_list_a @ (nth_list_a @ (listSl1174287072ice2_a @ xs @ k) @ m))!=(k)), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_1])])).
0.14/0.57	thf(c_0_5, negated_conjecture, ((size_size_list_a @ (nth_list_a @ (listSl1174287072ice2_a @ xs @ k) @ m))!=(k)), inference(fof_nnf,[status(thm)],[c_0_4])).
0.14/0.57	thf(c_0_6, plain, ![X843:nat, X844:list_a, X845:nat]:((~(ord_less_nat @ X843 @ (divide_divide_nat @ (size_size_list_a @ X844) @ X845))|((nth_list_a @ (listSl1174287072ice2_a @ X844 @ X845) @ X843)=(nth_list_a @ (listSl97544552lice_a @ X844 @ X845) @ X843)))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_19_list__slice2__list__slice__nth])])])).
0.14/0.57	thf(c_0_7, plain, ![X34:nat, X4:list_a, X13:nat]:(((ord_less_nat @ X34 @ (divide_divide_nat @ (size_size_list_a @ X4) @ X13))=>((size_size_list_a @ (nth_list_a @ (listSl97544552lice_a @ X4 @ X13) @ X34))=(X13)))), inference(fof_simplification,[status(thm)],[fact_30_list__slice__nth__length])).
0.14/0.57	thf(c_0_8, negated_conjecture, ((size_size_list_a @ (nth_list_a @ (listSl1174287072ice2_a @ xs @ k) @ m))!=(k)), inference(split_conjunct,[status(thm)],[c_0_5])).
0.14/0.57	thf(c_0_9, plain, ![X1:nat, X4:list_a, X2:nat]:((((nth_list_a @ (listSl1174287072ice2_a @ X4 @ X2) @ X1)=(nth_list_a @ (listSl97544552lice_a @ X4 @ X2) @ X1))|~((ord_less_nat @ X1 @ (divide_divide_nat @ (size_size_list_a @ X4) @ X2))))), inference(split_conjunct,[status(thm)],[c_0_6])).
0.14/0.57	thf(c_0_10, hypothesis, (ord_less_nat @ m @ (divide_divide_nat @ (size_size_list_a @ xs) @ k)), inference(split_conjunct,[status(thm)],[conj_0])).
0.14/0.57	thf(c_0_11, plain, ![X1038:nat, X1039:list_a, X1040:nat]:((~(ord_less_nat @ X1038 @ (divide_divide_nat @ (size_size_list_a @ X1039) @ X1040))|((size_size_list_a @ (nth_list_a @ (listSl97544552lice_a @ X1039 @ X1040) @ X1038))=(X1040)))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])])).
0.14/0.57	thf(c_0_12, negated_conjecture, ((size_size_list_a @ (nth_list_a @ (listSl97544552lice_a @ xs @ k) @ m))!=(k)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8, c_0_9]), c_0_10])])).
0.14/0.57	thf(c_0_13, plain, ![X1:nat, X4:list_a, X2:nat]:((((size_size_list_a @ (nth_list_a @ (listSl97544552lice_a @ X4 @ X2) @ X1))=(X2))|~((ord_less_nat @ X1 @ (divide_divide_nat @ (size_size_list_a @ X4) @ X2))))), inference(split_conjunct,[status(thm)],[c_0_11])).
0.14/0.57	thf(c_0_14, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12, c_0_13]), c_0_10])]), ['proof']).
0.14/0.57	# SZS output end CNFRefutation
0.14/0.57	# Parsed axioms                        : 462
0.14/0.57	# Removed by relevancy pruning/SinE    : 313
0.14/0.57	# Initial clauses                      : 414
0.14/0.57	# Removed in clause preprocessing      : 10
0.14/0.57	# Initial clauses in saturation        : 404
0.14/0.57	# Processed clauses                    : 517
0.14/0.57	# ...of these trivial                  : 4
0.14/0.57	# ...subsumed                          : 129
0.14/0.57	# ...remaining for further processing  : 384
0.14/0.57	# Other redundant clauses eliminated   : 35
0.14/0.57	# Clauses deleted for lack of memory   : 0
0.14/0.57	# Backward-subsumed                    : 0
0.14/0.57	# Backward-rewritten                   : 0
0.14/0.57	# Generated clauses                    : 164
0.14/0.57	# ...of the previous two non-redundant : 145
0.14/0.57	# ...aggressively subsumed             : 0
0.14/0.57	# Contextual simplify-reflections      : 1
0.14/0.57	# Paramodulations                      : 99
0.14/0.57	# Factorizations                       : 2
0.14/0.57	# NegExts                              : 0
0.14/0.57	# Equation resolutions                 : 36
0.14/0.57	# Disequality decompositions           : 0
0.14/0.57	# Total rewrite steps                  : 15
0.14/0.57	# ...of those cached                   : 7
0.14/0.57	# Propositional unsat checks           : 0
0.14/0.57	#    Propositional check models        : 0
0.14/0.57	#    Propositional check unsatisfiable : 0
0.14/0.57	#    Propositional clauses             : 0
0.14/0.57	#    Propositional clauses after purity: 0
0.14/0.57	#    Propositional unsat core size     : 0
0.14/0.57	#    Propositional preprocessing time  : 0.000
0.14/0.57	#    Propositional encoding time       : 0.000
0.14/0.57	#    Propositional solver time         : 0.000
0.14/0.57	#    Success case prop preproc time    : 0.000
0.14/0.57	#    Success case prop encoding time   : 0.000
0.14/0.57	#    Success case prop solver time     : 0.000
0.14/0.57	# Current number of processed clauses  : 79
0.14/0.57	#    Positive orientable unit clauses  : 24
0.14/0.57	#    Positive unorientable unit clauses: 0
0.14/0.57	#    Negative unit clauses             : 16
0.14/0.57	#    Non-unit-clauses                  : 39
0.14/0.57	# Current number of unprocessed clauses: 304
0.14/0.57	# ...number of literals in the above   : 1472
0.14/0.57	# Current number of archived formulas  : 0
0.14/0.57	# Current number of archived clauses   : 272
0.14/0.57	# Clause-clause subsumption calls (NU) : 17517
0.14/0.57	# Rec. Clause-clause subsumption calls : 3315
0.14/0.57	# Non-unit clause-clause subsumptions  : 123
0.14/0.57	# Unit Clause-clause subsumption calls : 290
0.14/0.57	# Rewrite failures with RHS unbound    : 0
0.14/0.57	# BW rewrite match attempts            : 13
0.14/0.57	# BW rewrite match successes           : 4
0.14/0.57	# Condensation attempts                : 517
0.14/0.57	# Condensation successes               : 12
0.14/0.57	# Termbank termtop insertions          : 74033
0.14/0.57	# Search garbage collected termcells   : 9658
0.14/0.57	
0.14/0.57	# -------------------------------------------------
0.14/0.57	# User time                : 0.084 s
0.14/0.57	# System time              : 0.013 s
0.14/0.57	# Total time               : 0.097 s
0.14/0.57	# Maximum resident set size: 3816 pages
0.14/0.57	
0.14/0.57	# -------------------------------------------------
0.14/0.57	# User time                : 0.097 s
0.14/0.57	# System time              : 0.015 s
0.14/0.57	# Total time               : 0.112 s
0.14/0.57	# Maximum resident set size: 2600 pages
0.14/0.57	% E exiting
0.14/0.57	% E exiting
0.14/0.57	EOF