%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : ITP236^1 : TPTP v9.3.1. Bugfixed v9.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n010.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 08:04:51 AM UTC 2026
% Result : Theorem 9.42s 7.22s
% Output : CNFRefutation 9.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 12 ( 9 unt; 0 typ; 0 def)
% Number of atoms : 15 ( 0 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 37 ( 6 ~; 2 |; 0 &; 28 @)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Number of types : 4 ( 3 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 5 ( 0 ^; 4 !; 1 ?; 5 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
nat: $tType ).
thf(decl_sort2,type,
vEBT_VEBT: $tType ).
thf(decl_sort3,type,
list_VEBT_VEBT: $tType ).
thf(decl_498,type,
nth_VEBT_VEBT: list_VEBT_VEBT > nat > vEBT_VEBT ).
thf(decl_1034,type,
vEBT_V8194947554948674370ptions: vEBT_VEBT > nat > $o ).
thf(decl_1133,type,
maxs: nat ).
thf(decl_1137,type,
thesis: $o ).
thf(decl_1138,type,
treeList: list_VEBT_VEBT ).
thf(decl_1180,type,
esk38_0: nat ).
thf(conj_1,conjecture,
thesis,
file('/export/starexec/sandbox/tmp/tmp.GziJavf87V/E---3.1_3364644.p',conj_1) ).
thf(conj_0,hypothesis,
! [X19008: nat] :
( ( vEBT_V8194947554948674370ptions @ ( nth_VEBT_VEBT @ treeList @ maxs ) @ X19008 )
=> thesis ),
file('/export/starexec/sandbox/tmp/tmp.GziJavf87V/E---3.1_3364644.p',conj_0) ).
thf(fact_0__092_060open_062_092_060exists_062x_O_Aboth__member__options_A_ItreeList_A_B_Amaxs_J_Ax_092_060close_062,axiom,
? [X1: nat] : ( vEBT_V8194947554948674370ptions @ ( nth_VEBT_VEBT @ treeList @ maxs ) @ X1 ),
file('/export/starexec/sandbox/tmp/tmp.GziJavf87V/E---3.1_3364644.p',fact_0__092_060open_062_092_060exists_062x_O_Aboth__member__options_A_ItreeList_A_B_Amaxs_J_Ax_092_060close_062) ).
thf(c_0_3,negated_conjecture,
~ thesis,
inference(assume_negation,[status(cth)],[conj_1]) ).
thf(c_0_4,hypothesis,
! [X24341: nat] :
( ~ ( vEBT_V8194947554948674370ptions @ ( nth_VEBT_VEBT @ treeList @ maxs ) @ X24341 )
| thesis ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[conj_0])]) ).
thf(c_0_5,negated_conjecture,
~ thesis,
inference(fof_simplification,[status(thm)],[c_0_3]) ).
thf(c_0_6,plain,
vEBT_V8194947554948674370ptions @ ( nth_VEBT_VEBT @ treeList @ maxs ) @ esk38_0,
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[fact_0__092_060open_062_092_060exists_062x_O_Aboth__member__options_A_ItreeList_A_B_Amaxs_J_Ax_092_060close_062])]) ).
thf(c_0_7,hypothesis,
! [X1: nat] :
( thesis
| ~ ( vEBT_V8194947554948674370ptions @ ( nth_VEBT_VEBT @ treeList @ maxs ) @ X1 ) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
thf(c_0_8,negated_conjecture,
~ thesis,
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_9,plain,
vEBT_V8194947554948674370ptions @ ( nth_VEBT_VEBT @ treeList @ maxs ) @ esk38_0,
inference(split_conjunct,[status(thm)],[c_0_6]) ).
thf(c_0_10,hypothesis,
! [X1: nat] :
~ ( vEBT_V8194947554948674370ptions @ ( nth_VEBT_VEBT @ treeList @ maxs ) @ X1 ),
inference(sr,[status(thm)],[c_0_7,c_0_8]) ).
thf(c_0_11,plain,
$false,
inference(sr,[status(thm)],[c_0_9,c_0_10]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP236^1 : TPTP v9.3.1. Bugfixed v9.2.1.
% 0.00/0.06 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.21 % Computer : n010.cluster.edu
% 0.08/0.21 % Model : x86_64 x86_64
% 0.08/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.21 % Memory : 8046.5625MB
% 0.08/0.21 % OS : Linux 6.8.0-71-generic
% 0.08/0.21 % CPULimit : 300
% 0.08/0.21 % WCLimit : 300
% 0.08/0.21 % DateTime : Tue Sep 29 20:26:48 UTC 2026
% 0.08/0.22 % CPUTime :
% 0.08/0.22 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.22/0.27 Running higher-order theorem proving
% 4.44/4.59 Running: /export/starexec/sandbox/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/sandbox/tmp/tmp.GziJavf87V/E---3.1_3364644.p
% 9.42/7.22 % Version: 3.5.1-ho
% 9.42/7.22 % partial match(2): HMLMSMSMSSLCHFA
% 9.42/7.22 % Preprocessing class: HMLLSMLMSSLCHFA.
% 9.42/7.22 % Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 9.42/7.22 % Starting new_ho_10 with 1495s (5) cores
% 9.42/7.22 % Starting sh5l with 299s (1) cores
% 9.42/7.22 % Starting new_bool_1 with 299s (1) cores
% 9.42/7.22 % Starting new_bool_2 with 299s (1) cores
% 9.42/7.22 % new_bool_2 with pid 3364660 completed with status 0
% 9.42/7.22 % Result found by new_bool_2
% 9.42/7.22 % partial match(2): HMLMSMSMSSLCHFA
% 9.42/7.22 % Preprocessing class: HMLLSMLMSSLCHFA.
% 9.42/7.22 % Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 9.42/7.22 % Starting new_ho_10 with 1495s (5) cores
% 9.42/7.22 % Starting sh5l with 299s (1) cores
% 9.42/7.22 % Starting new_bool_1 with 299s (1) cores
% 9.42/7.22 % Starting new_bool_2 with 299s (1) cores
% 9.42/7.22 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 9.42/7.22 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 9.42/7.22 % Search class: HGHSM-SMLM32-DHFFFSBN
% 9.42/7.22 % Scheduled 5 strats onto 1 cores with 299 seconds (299 total)
% 9.42/7.22 % Starting SubtermCWHack with 30s (1) cores
% 9.42/7.22 % SubtermCWHack with pid 3364661 completed with status 0
% 9.42/7.22 % Result found by SubtermCWHack
% 9.42/7.22 % partial match(2): HMLMSMSMSSLCHFA
% 9.42/7.22 % Preprocessing class: HMLLSMLMSSLCHFA.
% 9.42/7.22 % Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 9.42/7.22 % Starting new_ho_10 with 1495s (5) cores
% 9.42/7.22 % Starting sh5l with 299s (1) cores
% 9.42/7.22 % Starting new_bool_1 with 299s (1) cores
% 9.42/7.22 % Starting new_bool_2 with 299s (1) cores
% 9.42/7.22 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 9.42/7.22 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 9.42/7.22 % Search class: HGHSM-SMLM32-DHFFFSBN
% 9.42/7.22 % Scheduled 5 strats onto 1 cores with 299 seconds (299 total)
% 9.42/7.22 % Starting SubtermCWHack with 30s (1) cores
% 9.42/7.22 % Preprocessing time : 0.110 s
% 9.42/7.22
% 9.42/7.22 % Proof found!
% 9.42/7.22 % SZS status Theorem
% 9.42/7.22 % SZS output start CNFRefutation
% See solution above
% 9.42/7.22 % Parsed axioms : 11120
% 9.42/7.22 % Removed by relevancy pruning/SinE : 8959
% 9.42/7.22 % Initial clauses : 6517
% 9.42/7.22 % Removed in clause preprocessing : 1886
% 9.42/7.22 % Initial clauses in saturation : 4631
% 9.42/7.22 % Processed clauses : 815
% 9.42/7.22 % ...of these trivial : 64
% 9.42/7.22 % ...subsumed : 292
% 9.42/7.22 % ...remaining for further processing : 459
% 9.42/7.22 % Other redundant clauses eliminated : 117
% 9.42/7.22 % Clauses deleted for lack of memory : 0
% 9.42/7.22 % Backward-subsumed : 6
% 9.42/7.22 % Backward-rewritten : 8
% 9.42/7.22 % Generated clauses : 670
% 9.42/7.22 % ...of the previous two non-redundant : 433
% 9.42/7.22 % ...aggressively subsumed : 0
% 9.42/7.22 % Contextual simplify-reflections : 0
% 9.42/7.22 % Paramodulations : 525
% 9.42/7.22 % Factorizations : 6
% 9.42/7.22 % NegExts : 0
% 9.42/7.22 % Equation resolutions : 123
% 9.42/7.22 % Disequality decompositions : 0
% 9.42/7.22 % Total rewrite steps : 283
% 9.42/7.22 % ...of those cached : 161
% 9.42/7.22 % Propositional unsat checks : 0
% 9.42/7.22 % Propositional check models : 0
% 9.42/7.22 % Propositional check unsatisfiable : 0
% 9.42/7.22 % Propositional clauses : 0
% 9.42/7.22 % Propositional clauses after purity: 0
% 9.42/7.22 % Propositional unsat core size : 0
% 9.42/7.22 % Propositional preprocessing time : 0.000
% 9.42/7.22 % Propositional encoding time : 0.000
% 9.42/7.22 % Propositional solver time : 0.000
% 9.42/7.22 % Success case prop preproc time : 0.000
% 9.42/7.22 % Success case prop encoding time : 0.000
% 9.42/7.22 % Success case prop solver time : 0.000
% 9.42/7.22 % Current number of processed clauses : 353
% 9.42/7.22 % Positive orientable unit clauses : 194
% 9.42/7.22 % Positive unorientable unit clauses: 0
% 9.42/7.22 % Negative unit clauses : 96
% 9.42/7.22 % Non-unit-clauses : 63
% 9.42/7.22 % Current number of unprocessed clauses: 4249
% 9.42/7.22 % ...number of literals in the above : 18196
% 9.42/7.22 % Current number of archived formulas : 0
% 9.42/7.22 % Current number of archived clauses : 15
% 9.42/7.22 % Clause-clause subsumption calls (NU) : 1375
% 9.42/7.22 % Rec. Clause-clause subsumption calls : 1276
% 9.42/7.22 % Non-unit clause-clause subsumptions : 98
% 9.42/7.22 % Unit Clause-clause subsumption calls : 2757
% 9.42/7.22 % Rewrite failures with RHS unbound : 0
% 9.42/7.22 % BW rewrite match attempts : 38
% 9.42/7.22 % BW rewrite match successes : 8
% 9.42/7.22 % Condensation attempts : 0
% 9.42/7.22 % Condensation successes : 0
% 9.42/7.22 % Termbank termtop insertions : 561999
% 9.42/7.22 % Search garbage collected termcells : 164113
% 9.42/7.22
% 9.42/7.22 % -------------------------------------------------
% 9.42/7.22 % User time : 1.069 s
% 9.42/7.22 % System time : 0.081 s
% 9.42/7.22 % Total time : 1.150 s
% 9.42/7.22 % Maximum resident set size: 40064 pages
% 9.42/7.22
% 9.42/7.22 % -------------------------------------------------
% 9.42/7.22 % User time : 2.454 s
% 9.42/7.22 % System time : 0.124 s
% 9.42/7.22 % Total time : 2.578 s
% 9.42/7.22 % Maximum resident set size: 29696 pages
% 9.42/7.22 % E exiting
%------------------------------------------------------------------------------