%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : ITP234^1 : 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 08:05:59 AM UTC 2026
% Result : Theorem 26.31s 9.73s
% Output : CNFRefutation 26.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of formulae : 11 ( 11 unt; 0 typ; 0 def)
% Number of atoms : 11 ( 10 equ; 0 cnn)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 191 ( 5 ~; 0 |; 0 &; 186 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 2 ( 1 avg)
% Number of types : 3 ( 3 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 9 usr; 5 con; 0-3 aty)
% Number of variables : 0 ( 0 ^; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
nat: $tType ).
thf(decl_sort2,type,
list_VEBT_VEBT: $tType ).
thf(decl_sort3,type,
vEBT_VEBT: $tType ).
thf(decl_378,type,
list_u1324408373059187874T_VEBT: list_VEBT_VEBT > nat > vEBT_VEBT > list_VEBT_VEBT ).
thf(decl_401,type,
nth_VEBT_VEBT: list_VEBT_VEBT > nat > vEBT_VEBT ).
thf(decl_766,type,
vEBT_VEBT_high: nat > nat > nat ).
thf(decl_768,type,
vEBT_VEBT_low: nat > nat > nat ).
thf(decl_779,type,
vEBT_vebt_insert: vEBT_VEBT > nat > vEBT_VEBT ).
thf(decl_817,type,
i: nat ).
thf(decl_820,type,
mi: nat ).
thf(decl_821,type,
na: nat ).
thf(decl_823,type,
treeList: list_VEBT_VEBT ).
thf(conj_0,conjecture,
( ( nth_VEBT_VEBT @ ( list_u1324408373059187874T_VEBT @ treeList @ ( vEBT_VEBT_high @ mi @ na ) @ ( vEBT_vebt_insert @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ mi @ na ) ) @ ( vEBT_VEBT_low @ mi @ na ) ) ) @ i )
= ( vEBT_vebt_insert @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ mi @ na ) ) @ ( vEBT_VEBT_low @ mi @ na ) ) ),
file('/export/starexec/sandbox/tmp/tmp.sHfp2QTjN3/E---3.1_3362832.p',conj_0) ).
thf(fact_0_True,axiom,
( i
= ( vEBT_VEBT_high @ mi @ na ) ),
file('/export/starexec/sandbox/tmp/tmp.sHfp2QTjN3/E---3.1_3362832.p',fact_0_True) ).
thf(fact_1_insprop,axiom,
( ( nth_VEBT_VEBT @ ( list_u1324408373059187874T_VEBT @ treeList @ ( vEBT_VEBT_high @ mi @ na ) @ ( vEBT_vebt_insert @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ mi @ na ) ) @ ( vEBT_VEBT_low @ mi @ na ) ) ) @ ( vEBT_VEBT_high @ mi @ na ) )
= ( vEBT_vebt_insert @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ mi @ na ) ) @ ( vEBT_VEBT_low @ mi @ na ) ) ),
file('/export/starexec/sandbox/tmp/tmp.sHfp2QTjN3/E---3.1_3362832.p',fact_1_insprop) ).
thf(c_0_3,negated_conjecture,
( ( nth_VEBT_VEBT @ ( list_u1324408373059187874T_VEBT @ treeList @ ( vEBT_VEBT_high @ mi @ na ) @ ( vEBT_vebt_insert @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ mi @ na ) ) @ ( vEBT_VEBT_low @ mi @ na ) ) ) @ i )
!= ( vEBT_vebt_insert @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ mi @ na ) ) @ ( vEBT_VEBT_low @ mi @ na ) ) ),
inference(assume_negation,[status(cth)],[conj_0]) ).
thf(c_0_4,negated_conjecture,
( ( nth_VEBT_VEBT @ ( list_u1324408373059187874T_VEBT @ treeList @ ( vEBT_VEBT_high @ mi @ na ) @ ( vEBT_vebt_insert @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ mi @ na ) ) @ ( vEBT_VEBT_low @ mi @ na ) ) ) @ i )
!= ( vEBT_vebt_insert @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ mi @ na ) ) @ ( vEBT_VEBT_low @ mi @ na ) ) ),
inference(fof_simplification,[status(thm)],[c_0_3]) ).
thf(c_0_5,negated_conjecture,
( ( nth_VEBT_VEBT @ ( list_u1324408373059187874T_VEBT @ treeList @ ( vEBT_VEBT_high @ mi @ na ) @ ( vEBT_vebt_insert @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ mi @ na ) ) @ ( vEBT_VEBT_low @ mi @ na ) ) ) @ i )
!= ( vEBT_vebt_insert @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ mi @ na ) ) @ ( vEBT_VEBT_low @ mi @ na ) ) ),
inference(fof_nnf,[status(thm)],[c_0_4]) ).
thf(c_0_6,negated_conjecture,
( ( nth_VEBT_VEBT @ ( list_u1324408373059187874T_VEBT @ treeList @ ( vEBT_VEBT_high @ mi @ na ) @ ( vEBT_vebt_insert @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ mi @ na ) ) @ ( vEBT_VEBT_low @ mi @ na ) ) ) @ i )
!= ( vEBT_vebt_insert @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ mi @ na ) ) @ ( vEBT_VEBT_low @ mi @ na ) ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_7,plain,
( i
= ( vEBT_VEBT_high @ mi @ na ) ),
inference(split_conjunct,[status(thm)],[fact_0_True]) ).
thf(c_0_8,plain,
( ( nth_VEBT_VEBT @ ( list_u1324408373059187874T_VEBT @ treeList @ ( vEBT_VEBT_high @ mi @ na ) @ ( vEBT_vebt_insert @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ mi @ na ) ) @ ( vEBT_VEBT_low @ mi @ na ) ) ) @ ( vEBT_VEBT_high @ mi @ na ) )
= ( vEBT_vebt_insert @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ mi @ na ) ) @ ( vEBT_VEBT_low @ mi @ na ) ) ),
inference(split_conjunct,[status(thm)],[fact_1_insprop]) ).
thf(c_0_9,negated_conjecture,
( ( nth_VEBT_VEBT @ ( list_u1324408373059187874T_VEBT @ treeList @ i @ ( vEBT_vebt_insert @ ( nth_VEBT_VEBT @ treeList @ i ) @ ( vEBT_VEBT_low @ mi @ na ) ) ) @ i )
!= ( vEBT_vebt_insert @ ( nth_VEBT_VEBT @ treeList @ i ) @ ( vEBT_VEBT_low @ mi @ na ) ) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_6,c_0_7]),c_0_7]),c_0_7]) ).
thf(c_0_10,plain,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_8,c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_9]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ITP234^1 : TPTP v9.3.1. Bugfixed v9.2.1.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n010.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Tue Sep 29 20:25:48 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.23 Running higher-order theorem proving
% 2.16/2.26 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.sHfp2QTjN3/E---3.1_3362832.p
% 26.31/9.73 % Version: 3.5.1-ho
% 26.31/9.73 % partial match(1): HMLMSMSMSSLCHFA
% 26.31/9.73 % Preprocessing class: HMLMSMLMSSLCHFA.
% 26.31/9.73 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 26.31/9.73 % Starting new_ho_10 with 1500s (5) cores
% 26.31/9.73 % Starting sh5l with 300s (1) cores
% 26.31/9.73 % Starting new_bool_1 with 300s (1) cores
% 26.31/9.73 % Starting new_bool_2 with 300s (1) cores
% 26.31/9.73 % new_ho_10 with pid 3362845 completed with status 0
% 26.31/9.73 % Result found by new_ho_10
% 26.31/9.73 % partial match(1): HMLMSMSMSSLCHFA
% 26.31/9.73 % Preprocessing class: HMLMSMLMSSLCHFA.
% 26.31/9.73 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 26.31/9.73 % Starting new_ho_10 with 1500s (5) cores
% 26.31/9.73 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 26.31/9.73 % No SInE strategy applied
% 26.31/9.73 % Search class: HGHSM-SMLM32-DHFFFSBC
% 26.31/9.73 % Scheduled 7 strats onto 5 cores with 1495 seconds (1495 total)
% 26.31/9.73 % Starting SubtermCWHack with 135s (1) cores
% 26.31/9.73 % Starting new_ho_10 with 150s (1) cores
% 26.31/9.73 % Starting ehoh_best_sine_rwall with 193s (1) cores
% 26.31/9.73 % Starting full_lambda_6 with 193s (1) cores
% 26.31/9.73 % Starting ehoh_best_sine with 193s (1) cores
% 26.31/9.73 % ehoh_best_sine with pid 3362855 completed with status 0
% 26.31/9.73 % Result found by ehoh_best_sine
% 26.31/9.73 % partial match(1): HMLMSMSMSSLCHFA
% 26.31/9.73 % Preprocessing class: HMLMSMLMSSLCHFA.
% 26.31/9.73 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 26.31/9.73 % Starting new_ho_10 with 1500s (5) cores
% 26.31/9.73 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 26.31/9.73 % No SInE strategy applied
% 26.31/9.73 % Search class: HGHSM-SMLM32-DHFFFSBC
% 26.31/9.73 % Scheduled 7 strats onto 5 cores with 1495 seconds (1495 total)
% 26.31/9.73 % Starting SubtermCWHack with 135s (1) cores
% 26.31/9.73 % Starting new_ho_10 with 150s (1) cores
% 26.31/9.73 % Starting ehoh_best_sine_rwall with 193s (1) cores
% 26.31/9.73 % Starting full_lambda_6 with 193s (1) cores
% 26.31/9.73 % Starting ehoh_best_sine with 193s (1) cores
% 26.31/9.73 % Preprocessing time : 0.871 s
% 26.31/9.73 % Presaturation interreduction done
% 26.31/9.73
% 26.31/9.73 % Proof found!
% 26.31/9.73 % SZS status Theorem
% 26.31/9.73 % SZS output start CNFRefutation
% See solution above
% 26.31/9.73 % Parsed axioms : 9032
% 26.31/9.73 % Removed by relevancy pruning/SinE : 0
% 26.31/9.73 % Initial clauses : 58206
% 26.31/9.73 % Removed in clause preprocessing : 29215
% 26.31/9.73 % Initial clauses in saturation : 28991
% 26.31/9.73 % Processed clauses : 124
% 26.31/9.73 % ...of these trivial : 0
% 26.31/9.73 % ...subsumed : 22
% 26.31/9.73 % ...remaining for further processing : 101
% 26.31/9.73 % Other redundant clauses eliminated : 0
% 26.31/9.73 % Clauses deleted for lack of memory : 0
% 26.31/9.73 % Backward-subsumed : 0
% 26.31/9.73 % Backward-rewritten : 0
% 26.31/9.73 % Generated clauses : 0
% 26.31/9.73 % ...of the previous two non-redundant : 0
% 26.31/9.73 % ...aggressively subsumed : 0
% 26.31/9.73 % Contextual simplify-reflections : 0
% 26.31/9.73 % Paramodulations : 0
% 26.31/9.73 % Factorizations : 0
% 26.31/9.73 % NegExts : 0
% 26.31/9.73 % Equation resolutions : 0
% 26.31/9.73 % Disequality decompositions : 0
% 26.31/9.73 % Total rewrite steps : 12
% 26.31/9.73 % ...of those cached : 10
% 26.31/9.73 % Propositional unsat checks : 0
% 26.31/9.73 % Propositional check models : 0
% 26.31/9.73 % Propositional check unsatisfiable : 0
% 26.31/9.73 % Propositional clauses : 0
% 26.31/9.73 % Propositional clauses after purity: 0
% 26.31/9.73 % Propositional unsat core size : 0
% 26.31/9.73 % Propositional preprocessing time : 0.000
% 26.31/9.73 % Propositional encoding time : 0.000
% 26.31/9.73 % Propositional solver time : 0.000
% 26.31/9.73 % Success case prop preproc time : 0.000
% 26.31/9.73 % Success case prop encoding time : 0.000
% 26.31/9.73 % Success case prop solver time : 0.000
% 26.31/9.73 % Current number of processed clauses : 101
% 26.31/9.73 % Positive orientable unit clauses : 38
% 26.31/9.73 % Positive unorientable unit clauses: 0
% 26.31/9.73 % Negative unit clauses : 63
% 26.31/9.73 % Non-unit-clauses : 0
% 26.31/9.73 % Current number of unprocessed clauses: 28867
% 26.31/9.73 % ...number of literals in the above : 169074
% 26.31/9.73 % Current number of archived formulas : 0
% 26.31/9.73 % Current number of archived clauses : 0
% 26.31/9.73 % Clause-clause subsumption calls (NU) : 0
% 26.31/9.73 % Rec. Clause-clause subsumption calls : 0
% 26.31/9.73 % Non-unit clause-clause subsumptions : 0
% 26.31/9.73 % Unit Clause-clause subsumption calls : 509
% 26.31/9.73 % Rewrite failures with RHS unbound : 0
% 26.31/9.73 % BW rewrite match attempts : 0
% 26.31/9.73 % BW rewrite match successes : 0
% 26.31/9.73 % Condensation attempts : 0
% 26.31/9.73 % Condensation successes : 0
% 26.31/9.73 % Termbank termtop insertions : 7346916
% 26.31/9.73 % Search garbage collected termcells : 605160
% 26.31/9.73
% 26.31/9.73 % -------------------------------------------------
% 26.31/9.73 % User time : 6.098 s
% 26.31/9.73 % System time : 0.229 s
% 26.31/9.73 % Total time : 6.328 s
% 26.31/9.73 % Maximum resident set size: 148092 pages
% 26.31/9.73
% 26.31/9.73 % -------------------------------------------------
% 26.31/9.73 % User time : 10.167 s
% 26.31/9.73 % System time : 1.017 s
% 26.31/9.73 % Total time : 11.184 s
% 26.31/9.73 % Maximum resident set size: 24576 pages
% 26.31/9.73 % E exiting
%------------------------------------------------------------------------------