%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : ITP256^3 : 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 : n026.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 08:06:05 AM UTC 2026
% Result : Theorem 142.80s 51.75s
% Output : CNFRefutation 142.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 14 ( 7 unt; 0 typ; 0 def)
% Number of atoms : 34 ( 3 equ; 0 cnn)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 147 ( 16 ~; 12 |; 5 &; 111 @)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 7 avg)
% Number of types : 5 ( 4 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 12 usr; 4 con; 0-2 aty)
% Number of variables : 14 ( 0 ^; 14 !; 0 ?; 14 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
nat: $tType ).
thf(decl_sort2,type,
vEBT_VEBT: $tType ).
thf(decl_sort3,type,
set_VEBT_VEBT: $tType ).
thf(decl_sort4,type,
list_VEBT_VEBT: $tType ).
thf(decl_512,type,
set_VEBT_VEBT2: list_VEBT_VEBT > set_VEBT_VEBT ).
thf(decl_558,type,
nth_VEBT_VEBT: list_VEBT_VEBT > nat > vEBT_VEBT ).
thf(decl_649,type,
size_s6755466524823107622T_VEBT: list_VEBT_VEBT > nat ).
thf(decl_747,type,
ord_less_nat: nat > nat > $o ).
thf(decl_1118,type,
vEBT_V8194947554948674370ptions: vEBT_VEBT > nat > $o ).
thf(decl_1119,type,
vEBT_VEBT_high: nat > nat > nat ).
thf(decl_1128,type,
vEBT_invar_vebt: vEBT_VEBT > nat > $o ).
thf(decl_1132,type,
vEBT_vebt_delete: vEBT_VEBT > nat > vEBT_VEBT ).
thf(decl_1222,type,
member_VEBT_VEBT: vEBT_VEBT > set_VEBT_VEBT > $o ).
thf(decl_1228,type,
na: nat ).
thf(decl_1230,type,
treeList: list_VEBT_VEBT ).
thf(decl_1231,type,
xa: nat ).
thf(conj_0,conjecture,
vEBT_invar_vebt @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ xa @ na ) ) @ na,
file('/export/starexec/sandbox2/tmp/tmp.tEVFuCpJvB/E---3.1_1148034.p',conj_0) ).
thf(fact_23__C4_OIH_C_I1_J,axiom,
! [X11: vEBT_VEBT] :
( ( member_VEBT_VEBT @ X11 @ ( set_VEBT_VEBT2 @ treeList ) )
=> ( ( vEBT_invar_vebt @ X11 @ na )
& ! [X13: nat,X14: nat] :
( ( vEBT_V8194947554948674370ptions @ ( vEBT_vebt_delete @ X11 @ X13 ) @ X14 )
<=> ( ( X13 != X14 )
& ( vEBT_V8194947554948674370ptions @ X11 @ X14 ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.tEVFuCpJvB/E---3.1_1148034.p',fact_23__C4_OIH_C_I1_J) ).
thf(fact_137_nth__mem,axiom,
! [X7: nat,X19: list_VEBT_VEBT] :
( ( ord_less_nat @ X7 @ ( size_s6755466524823107622T_VEBT @ X19 ) )
=> ( member_VEBT_VEBT @ ( nth_VEBT_VEBT @ X19 @ X7 ) @ ( set_VEBT_VEBT2 @ X19 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.tEVFuCpJvB/E---3.1_1148034.p',fact_137_nth__mem) ).
thf(fact_8__092_060open_062high_Ax_An_A_060_Alength_AtreeList_092_060close_062,axiom,
ord_less_nat @ ( vEBT_VEBT_high @ xa @ na ) @ ( size_s6755466524823107622T_VEBT @ treeList ),
file('/export/starexec/sandbox2/tmp/tmp.tEVFuCpJvB/E---3.1_1148034.p',fact_8__092_060open_062high_Ax_An_A_060_Alength_AtreeList_092_060close_062) ).
thf(c_0_4,negated_conjecture,
~ ( vEBT_invar_vebt @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ xa @ na ) ) @ na ),
inference(assume_negation,[status(cth)],[conj_0]) ).
thf(c_0_5,plain,
! [X23239: vEBT_VEBT,X23240: nat,X23241: nat] :
( ( ( vEBT_invar_vebt @ X23239 @ na )
| ~ ( member_VEBT_VEBT @ X23239 @ ( set_VEBT_VEBT2 @ treeList ) ) )
& ( ( X23240 != X23241 )
| ~ ( vEBT_V8194947554948674370ptions @ ( vEBT_vebt_delete @ X23239 @ X23240 ) @ X23241 )
| ~ ( member_VEBT_VEBT @ X23239 @ ( set_VEBT_VEBT2 @ treeList ) ) )
& ( ( vEBT_V8194947554948674370ptions @ X23239 @ X23241 )
| ~ ( vEBT_V8194947554948674370ptions @ ( vEBT_vebt_delete @ X23239 @ X23240 ) @ X23241 )
| ~ ( member_VEBT_VEBT @ X23239 @ ( set_VEBT_VEBT2 @ treeList ) ) )
& ( ( X23240 = X23241 )
| ~ ( vEBT_V8194947554948674370ptions @ X23239 @ X23241 )
| ( vEBT_V8194947554948674370ptions @ ( vEBT_vebt_delete @ X23239 @ X23240 ) @ X23241 )
| ~ ( member_VEBT_VEBT @ X23239 @ ( set_VEBT_VEBT2 @ treeList ) ) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_23__C4_OIH_C_I1_J])])])]) ).
thf(c_0_6,plain,
! [X24193: nat,X24194: list_VEBT_VEBT] :
( ~ ( ord_less_nat @ X24193 @ ( size_s6755466524823107622T_VEBT @ X24194 ) )
| ( member_VEBT_VEBT @ ( nth_VEBT_VEBT @ X24194 @ X24193 ) @ ( set_VEBT_VEBT2 @ X24194 ) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_137_nth__mem])]) ).
thf(c_0_7,negated_conjecture,
~ ( vEBT_invar_vebt @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ xa @ na ) ) @ na ),
inference(fof_simplification,[status(thm)],[c_0_4]) ).
thf(c_0_8,plain,
! [X1: vEBT_VEBT] :
( ( vEBT_invar_vebt @ X1 @ na )
| ~ ( member_VEBT_VEBT @ X1 @ ( set_VEBT_VEBT2 @ treeList ) ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_9,plain,
! [X2: nat,X5: list_VEBT_VEBT] :
( ( member_VEBT_VEBT @ ( nth_VEBT_VEBT @ X5 @ X2 ) @ ( set_VEBT_VEBT2 @ X5 ) )
| ~ ( ord_less_nat @ X2 @ ( size_s6755466524823107622T_VEBT @ X5 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
thf(c_0_10,negated_conjecture,
~ ( vEBT_invar_vebt @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ xa @ na ) ) @ na ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
thf(c_0_11,plain,
! [X2: nat] :
( ( vEBT_invar_vebt @ ( nth_VEBT_VEBT @ treeList @ X2 ) @ na )
| ~ ( ord_less_nat @ X2 @ ( size_s6755466524823107622T_VEBT @ treeList ) ) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
thf(c_0_12,plain,
ord_less_nat @ ( vEBT_VEBT_high @ xa @ na ) @ ( size_s6755466524823107622T_VEBT @ treeList ),
inference(split_conjunct,[status(thm)],[fact_8__092_060open_062high_Ax_An_A_060_Alength_AtreeList_092_060close_062]) ).
thf(c_0_13,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_12])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP256^3 : TPTP v9.3.1. Bugfixed v9.2.1.
% 0.00/0.06 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.20 % Computer : n026.cluster.edu
% 0.10/0.20 % Model : x86_64 x86_64
% 0.10/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.20 % Memory : 8046.5625MB
% 0.10/0.20 % OS : Linux 6.8.0-71-generic
% 0.10/0.20 % CPULimit : 300
% 0.10/0.20 % WCLimit : 300
% 0.10/0.20 % DateTime : Tue Sep 29 20:42:27 UTC 2026
% 0.10/0.20 % CPUTime :
% 0.10/0.20 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.25 Running higher-order theorem proving
% 4.46/4.52 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.tEVFuCpJvB/E---3.1_1148034.p
% 142.80/51.75 % Version: 3.5.1-ho
% 142.80/51.75 % partial match(2): HMLMSMSMSSLCHFA
% 142.80/51.75 % Preprocessing class: HMLLSMLMSSLCHFA.
% 142.80/51.75 % Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 142.80/51.75 % Starting new_ho_10 with 1495s (5) cores
% 142.80/51.75 % Starting sh5l with 299s (1) cores
% 142.80/51.75 % Starting new_bool_1 with 299s (1) cores
% 142.80/51.75 % Starting new_bool_2 with 299s (1) cores
% 142.80/51.75 % new_bool_2 with pid 1148053 completed with status 0
% 142.80/51.75 % Result found by new_bool_2
% 142.80/51.75 % partial match(2): HMLMSMSMSSLCHFA
% 142.80/51.75 % Preprocessing class: HMLLSMLMSSLCHFA.
% 142.80/51.75 % Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 142.80/51.75 % Starting new_ho_10 with 1495s (5) cores
% 142.80/51.75 % Starting sh5l with 299s (1) cores
% 142.80/51.75 % Starting new_bool_1 with 299s (1) cores
% 142.80/51.75 % Starting new_bool_2 with 299s (1) cores
% 142.80/51.75 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 142.80/51.75 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 142.80/51.75 % Search class: HGHSM-SMLM32-DHFFFSBN
% 142.80/51.75 % Scheduled 5 strats onto 1 cores with 299 seconds (299 total)
% 142.80/51.75 % Starting SubtermCWHack with 30s (1) cores
% 142.80/51.75 % SubtermCWHack with pid 1148055 completed with status 8
% 142.80/51.75 % Starting new_ho_10 with 180s (1) cores
% 142.80/51.75 % new_ho_10 with pid 1148087 completed with status 0
% 142.80/51.75 % Result found by new_ho_10
% 142.80/51.75 % partial match(2): HMLMSMSMSSLCHFA
% 142.80/51.75 % Preprocessing class: HMLLSMLMSSLCHFA.
% 142.80/51.75 % Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 142.80/51.75 % Starting new_ho_10 with 1495s (5) cores
% 142.80/51.75 % Starting sh5l with 299s (1) cores
% 142.80/51.75 % Starting new_bool_1 with 299s (1) cores
% 142.80/51.75 % Starting new_bool_2 with 299s (1) cores
% 142.80/51.75 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 142.80/51.75 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 142.80/51.75 % Search class: HGHSM-SMLM32-DHFFFSBN
% 142.80/51.75 % Scheduled 5 strats onto 1 cores with 299 seconds (299 total)
% 142.80/51.75 % Starting SubtermCWHack with 30s (1) cores
% 142.80/51.75 % SubtermCWHack with pid 1148055 completed with status 8
% 142.80/51.75 % Starting new_ho_10 with 180s (1) cores
% 142.80/51.75 % Preprocessing time : 0.128 s
% 142.80/51.75 % Presaturation interreduction done
% 142.80/51.75
% 142.80/51.75 % Proof found!
% 142.80/51.75 % SZS status Theorem
% 142.80/51.75 % SZS output start CNFRefutation
% See solution above
% 142.80/51.75 % Parsed axioms : 10756
% 142.80/51.75 % Removed by relevancy pruning/SinE : 9096
% 142.80/51.75 % Initial clauses : 5831
% 142.80/51.75 % Removed in clause preprocessing : 1840
% 142.80/51.75 % Initial clauses in saturation : 3991
% 142.80/51.75 % Processed clauses : 10192
% 142.80/51.75 % ...of these trivial : 197
% 142.80/51.75 % ...subsumed : 2614
% 142.80/51.75 % ...remaining for further processing : 7381
% 142.80/51.75 % Other redundant clauses eliminated : 4429
% 142.80/51.75 % Clauses deleted for lack of memory : 0
% 142.80/51.75 % Backward-subsumed : 45
% 142.80/51.75 % Backward-rewritten : 62
% 142.80/51.75 % Generated clauses : 84774
% 142.80/51.75 % ...of the previous two non-redundant : 76042
% 142.80/51.75 % ...aggressively subsumed : 0
% 142.80/51.75 % Contextual simplify-reflections : 77
% 142.80/51.75 % Paramodulations : 79160
% 142.80/51.75 % Factorizations : 22
% 142.80/51.75 % NegExts : 0
% 142.80/51.75 % Equation resolutions : 4463
% 142.80/51.75 % Disequality decompositions : 0
% 142.80/51.75 % Total rewrite steps : 35400
% 142.80/51.75 % ...of those cached : 32609
% 142.80/51.75 % Propositional unsat checks : 0
% 142.80/51.75 % Propositional check models : 0
% 142.80/51.75 % Propositional check unsatisfiable : 0
% 142.80/51.75 % Propositional clauses : 0
% 142.80/51.75 % Propositional clauses after purity: 0
% 142.80/51.75 % Propositional unsat core size : 0
% 142.80/51.75 % Propositional preprocessing time : 0.000
% 142.80/51.75 % Propositional encoding time : 0.000
% 142.80/51.75 % Propositional solver time : 0.000
% 142.80/51.75 % Success case prop preproc time : 0.000
% 142.80/51.75 % Success case prop encoding time : 0.000
% 142.80/51.75 % Success case prop solver time : 0.000
% 142.80/51.75 % Current number of processed clauses : 3735
% 142.80/51.75 % Positive orientable unit clauses : 428
% 142.80/51.75 % Positive unorientable unit clauses: 6
% 142.80/51.75 % Negative unit clauses : 354
% 142.80/51.75 % Non-unit-clauses : 2947
% 142.80/51.75 % Current number of unprocessed clauses: 72372
% 142.80/51.75 % ...number of literals in the above : 389469
% 142.80/51.75 % Current number of archived formulas : 0
% 142.80/51.75 % Current number of archived clauses : 2926
% 142.80/51.75 % Clause-clause subsumption calls (NU) : 12805137
% 142.80/51.75 % Rec. Clause-clause subsumption calls : 866242
% 142.80/51.75 % Non-unit clause-clause subsumptions : 1518
% 142.80/51.75 % Unit Clause-clause subsumption calls : 423328
% 142.80/51.75 % Rewrite failures with RHS unbound : 0
% 142.80/51.75 % BW rewrite match attempts : 371
% 142.80/51.75 % BW rewrite match successes : 110
% 142.80/51.75 % Condensation attempts : 10192
% 142.80/51.75 % Condensation successes : 79
% 142.80/51.75 % Termbank termtop insertions : 4906402
% 142.80/51.75 % Search garbage collected termcells : 161358
% 142.80/51.75
% 142.80/51.75 % -------------------------------------------------
% 142.80/51.75 % User time : 44.953 s
% 142.80/51.75 % System time : 0.611 s
% 142.80/51.75 % Total time : 45.564 s
% 142.80/51.75 % Maximum resident set size: 38904 pages
% 142.80/51.75
% 142.80/51.75 % -------------------------------------------------
% 142.80/51.75 % User time : 46.298 s
% 142.80/51.75 % System time : 0.679 s
% 142.80/51.75 % Total time : 46.976 s
% 142.80/51.75 % Maximum resident set size: 29952 pages
% 142.80/51.75 % E exiting
%------------------------------------------------------------------------------