%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : ITP238^3 : TPTP v9.3.1. Bugfixed v9.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:06:00 AM UTC 2026
% Result : Theorem 192.11s 66.34s
% Output : CNFRefutation 192.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of formulae : 20 ( 14 unt; 0 typ; 0 def)
% Number of atoms : 26 ( 18 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 99 ( 12 ~; 4 |; 0 &; 81 @)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Number of types : 6 ( 5 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 19 ( 17 usr; 9 con; 0-2 aty)
% Number of variables : 8 ( 0 ^; 8 !; 0 ?; 8 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
nat: $tType ).
thf(decl_sort2,type,
num: $tType ).
thf(decl_sort3,type,
option_nat: $tType ).
thf(decl_sort4,type,
vEBT_VEBT: $tType ).
thf(decl_sort5,type,
list_VEBT_VEBT: $tType ).
thf(decl_246,type,
one_one_nat: nat ).
thf(decl_424,type,
nth_VEBT_VEBT: list_VEBT_VEBT > nat > vEBT_VEBT ).
thf(decl_453,type,
suc: nat > nat ).
thf(decl_520,type,
bit0: num > num ).
thf(decl_522,type,
one: num ).
thf(decl_530,type,
numeral_numeral_nat: num > nat ).
thf(decl_536,type,
none_nat: option_nat ).
thf(decl_539,type,
some_nat: nat > option_nat ).
thf(decl_762,type,
divide_divide_nat: nat > nat > nat ).
thf(decl_911,type,
vEBT_VEBT_high: nat > nat > nat ).
thf(decl_948,type,
vEBT_vebt_mint: vEBT_VEBT > option_nat ).
thf(decl_989,type,
deg: nat ).
thf(decl_993,type,
na: nat ).
thf(decl_995,type,
thesis: $o ).
thf(decl_996,type,
treeList: list_VEBT_VEBT ).
thf(decl_997,type,
xa: nat ).
thf(decl_1014,type,
esk13_1: option_nat > nat ).
thf(conj_1,conjecture,
thesis,
file('/export/starexec/sandbox2/tmp/tmp.72LUx62fr5/E---3.1_3171514.p',conj_1) ).
thf(conj_0,hypothesis,
! [X20450: nat] :
( ( ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ xa @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) )
= ( some_nat @ X20450 ) )
=> thesis ),
file('/export/starexec/sandbox2/tmp/tmp.72LUx62fr5/E---3.1_3171514.p',conj_0) ).
thf(fact_1__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.72LUx62fr5/E---3.1_3171514.p',fact_1__092_060open_062deg_Adiv_A2_A_061_An_092_060close_062) ).
thf(fact_1123_Suc__1,axiom,
( ( suc @ one_one_nat )
= ( numeral_numeral_nat @ ( bit0 @ one ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.72LUx62fr5/E---3.1_3171514.p',fact_1123_Suc__1) ).
thf(fact_85_option_Oexhaust,axiom,
! [X125: option_nat] :
( ( X125 != none_nat )
=> ~ ! [X126: nat] :
( X125
!= ( some_nat @ X126 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.72LUx62fr5/E---3.1_3171514.p',fact_85_option_Oexhaust) ).
thf(fact_0_False,axiom,
( ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ xa @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) )
!= none_nat ),
file('/export/starexec/sandbox2/tmp/tmp.72LUx62fr5/E---3.1_3171514.p',fact_0_False) ).
thf(c_0_6,negated_conjecture,
~ thesis,
inference(assume_negation,[status(cth)],[conj_1]) ).
thf(c_0_7,hypothesis,
! [X29615: nat] :
( ( ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ xa @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) )
!= ( some_nat @ X29615 ) )
| thesis ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[conj_0])]) ).
thf(c_0_8,plain,
( ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
= na ),
inference(split_conjunct,[status(thm)],[fact_1__092_060open_062deg_Adiv_A2_A_061_An_092_060close_062]) ).
thf(c_0_9,plain,
( ( suc @ one_one_nat )
= ( numeral_numeral_nat @ ( bit0 @ one ) ) ),
inference(split_conjunct,[status(thm)],[fact_1123_Suc__1]) ).
thf(c_0_10,negated_conjecture,
~ thesis,
inference(fof_simplification,[status(thm)],[c_0_6]) ).
thf(c_0_11,hypothesis,
! [X3: nat] :
( thesis
| ( ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ xa @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) )
!= ( some_nat @ X3 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
thf(c_0_12,plain,
( ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) )
= na ),
inference(rw,[status(thm)],[c_0_8,c_0_9]) ).
thf(c_0_13,negated_conjecture,
~ thesis,
inference(split_conjunct,[status(thm)],[c_0_10]) ).
thf(c_0_14,plain,
! [X29651: option_nat] :
( ( X29651 = none_nat )
| ( X29651
= ( some_nat @ ( esk13_1 @ X29651 ) ) ) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_85_option_Oexhaust])])]) ).
thf(c_0_15,plain,
( ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ xa @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) )
!= none_nat ),
inference(split_conjunct,[status(thm)],[fact_0_False]) ).
thf(c_0_16,hypothesis,
! [X3: nat] :
( ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ xa @ na ) ) )
!= ( some_nat @ X3 ) ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_11,c_0_9]),c_0_12]),c_0_13]) ).
thf(c_0_17,plain,
! [X22: option_nat] :
( ( X22 = none_nat )
| ( X22
= ( some_nat @ ( esk13_1 @ X22 ) ) ) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
thf(c_0_18,plain,
( ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ xa @ na ) ) )
!= none_nat ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_15,c_0_9]),c_0_12]) ).
thf(c_0_19,hypothesis,
$false,
inference(sr,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17])]),c_0_18]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP238^3 : TPTP v9.3.1. Bugfixed v9.2.1.
% 0.00/0.06 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.20 % Computer : n014.cluster.edu
% 0.08/0.20 % Model : x86_64 x86_64
% 0.08/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.20 % Memory : 8046.5625MB
% 0.08/0.20 % OS : Linux 6.8.0-71-generic
% 0.08/0.20 % CPULimit : 300
% 0.08/0.20 % WCLimit : 300
% 0.08/0.20 % DateTime : Tue Sep 29 20:27:30 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.25 Running higher-order theorem proving
% 1.98/2.05 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=300 /export/starexec/sandbox2/tmp/tmp.72LUx62fr5/E---3.1_3171514.p
% 192.11/66.34 % Version: 3.5.1-ho
% 192.11/66.34 % partial match(1): HMLMSMSMSSLCHFA
% 192.11/66.34 % Preprocessing class: HMLMSMLMSSLCHFA.
% 192.11/66.34 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 192.11/66.34 % Starting new_ho_10 with 1500s (5) cores
% 192.11/66.34 % Starting sh5l with 300s (1) cores
% 192.11/66.34 % Starting new_bool_1 with 300s (1) cores
% 192.11/66.34 % Starting new_bool_2 with 300s (1) cores
% 192.11/66.34 % new_bool_2 with pid 3171530 completed with status 0
% 192.11/66.34 % Result found by new_bool_2
% 192.11/66.34 % partial match(1): HMLMSMSMSSLCHFA
% 192.11/66.34 % Preprocessing class: HMLMSMLMSSLCHFA.
% 192.11/66.34 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 192.11/66.34 % Starting new_ho_10 with 1500s (5) cores
% 192.11/66.34 % Starting sh5l with 300s (1) cores
% 192.11/66.34 % Starting new_bool_1 with 300s (1) cores
% 192.11/66.34 % Starting new_bool_2 with 300s (1) cores
% 192.11/66.34 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 192.11/66.34 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 192.11/66.34 % Search class: HGHSM-SMLM32-DHFFFFBN
% 192.11/66.34 % partial match(1): HGHSM-SMLM32-DHFFFSBN
% 192.11/66.34 % Scheduled 5 strats onto 1 cores with 298 seconds (298 total)
% 192.11/66.34 % Starting SubtermCWHack with 30s (1) cores
% 192.11/66.34 % SubtermCWHack with pid 3171531 completed with status 8
% 192.11/66.34 % Starting new_ho_10 with 179s (1) cores
% 192.11/66.34 % new_ho_10 with pid 3171864 completed with status 0
% 192.11/66.34 % Result found by new_ho_10
% 192.11/66.34 % partial match(1): HMLMSMSMSSLCHFA
% 192.11/66.34 % Preprocessing class: HMLMSMLMSSLCHFA.
% 192.11/66.34 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 192.11/66.34 % Starting new_ho_10 with 1500s (5) cores
% 192.11/66.34 % Starting sh5l with 300s (1) cores
% 192.11/66.34 % Starting new_bool_1 with 300s (1) cores
% 192.11/66.34 % Starting new_bool_2 with 300s (1) cores
% 192.11/66.34 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 192.11/66.34 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 192.11/66.34 % Search class: HGHSM-SMLM32-DHFFFFBN
% 192.11/66.34 % partial match(1): HGHSM-SMLM32-DHFFFSBN
% 192.11/66.34 % Scheduled 5 strats onto 1 cores with 298 seconds (298 total)
% 192.11/66.34 % Starting SubtermCWHack with 30s (1) cores
% 192.11/66.34 % SubtermCWHack with pid 3171531 completed with status 8
% 192.11/66.34 % Starting new_ho_10 with 179s (1) cores
% 192.11/66.34 % Preprocessing time : 0.436 s
% 192.11/66.34 % Presaturation interreduction done
% 192.11/66.34
% 192.11/66.34 % Proof found!
% 192.11/66.34 % SZS status Theorem
% 192.11/66.34 % SZS output start CNFRefutation
% See solution above
% 192.11/66.34 % Parsed axioms : 11333
% 192.11/66.34 % Removed by relevancy pruning/SinE : 7325
% 192.11/66.34 % Initial clauses : 11261
% 192.11/66.34 % Removed in clause preprocessing : 2093
% 192.11/66.34 % Initial clauses in saturation : 9168
% 192.11/66.34 % Processed clauses : 12584
% 192.11/66.34 % ...of these trivial : 363
% 192.11/66.34 % ...subsumed : 3377
% 192.11/66.34 % ...remaining for further processing : 8844
% 192.11/66.34 % Other redundant clauses eliminated : 3031
% 192.11/66.34 % Clauses deleted for lack of memory : 0
% 192.11/66.34 % Backward-subsumed : 35
% 192.11/66.34 % Backward-rewritten : 90
% 192.11/66.34 % Generated clauses : 4457
% 192.11/66.34 % ...of the previous two non-redundant : 3447
% 192.11/66.34 % ...aggressively subsumed : 0
% 192.11/66.34 % Contextual simplify-reflections : 127
% 192.11/66.34 % Paramodulations : 1670
% 192.11/66.34 % Factorizations : 0
% 192.11/66.34 % NegExts : 0
% 192.11/66.34 % Equation resolutions : 3046
% 192.11/66.34 % Disequality decompositions : 0
% 192.11/66.34 % Total rewrite steps : 20202
% 192.11/66.34 % ...of those cached : 19282
% 192.11/66.34 % Propositional unsat checks : 0
% 192.11/66.34 % Propositional check models : 0
% 192.11/66.34 % Propositional check unsatisfiable : 0
% 192.11/66.34 % Propositional clauses : 0
% 192.11/66.34 % Propositional clauses after purity: 0
% 192.11/66.34 % Propositional unsat core size : 0
% 192.11/66.34 % Propositional preprocessing time : 0.000
% 192.11/66.34 % Propositional encoding time : 0.000
% 192.11/66.34 % Propositional solver time : 0.000
% 192.11/66.34 % Success case prop preproc time : 0.000
% 192.11/66.34 % Success case prop encoding time : 0.000
% 192.11/66.34 % Success case prop solver time : 0.000
% 192.11/66.34 % Current number of processed clauses : 861
% 192.11/66.34 % Positive orientable unit clauses : 369
% 192.11/66.34 % Positive unorientable unit clauses: 0
% 192.11/66.34 % Negative unit clauses : 206
% 192.11/66.34 % Non-unit-clauses : 286
% 192.11/66.34 % Current number of unprocessed clauses: 5296
% 192.11/66.34 % ...number of literals in the above : 18771
% 192.11/66.34 % Current number of archived formulas : 0
% 192.11/66.34 % Current number of archived clauses : 5400
% 192.11/66.34 % Clause-clause subsumption calls (NU) : 30709778
% 192.11/66.34 % Rec. Clause-clause subsumption calls : 1458039
% 192.11/66.34 % Non-unit clause-clause subsumptions : 3042
% 192.11/66.34 % Unit Clause-clause subsumption calls : 53975
% 192.11/66.34 % Rewrite failures with RHS unbound : 0
% 192.11/66.34 % BW rewrite match attempts : 1056
% 192.11/66.34 % BW rewrite match successes : 260
% 192.11/66.34 % Condensation attempts : 12584
% 192.11/66.34 % Condensation successes : 36
% 192.11/66.34 % Termbank termtop insertions : 3124546
% 192.11/66.34 % Search garbage collected termcells : 200494
% 192.11/66.34
% 192.11/66.34 % -------------------------------------------------
% 192.11/66.34 % User time : 62.344 s
% 192.11/66.34 % System time : 0.683 s
% 192.11/66.34 % Total time : 63.027 s
% 192.11/66.34 % Maximum resident set size: 53752 pages
% 192.11/66.34
% 192.11/66.34 % -------------------------------------------------
% 192.11/66.34 % User time : 62.990 s
% 192.11/66.34 % System time : 0.719 s
% 192.11/66.34 % Total time : 63.709 s
% 192.11/66.34 % Maximum resident set size: 31232 pages
% 192.11/66.34 % E exiting
%------------------------------------------------------------------------------