%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : ITP222^1 : 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 08:05:55 AM UTC 2026
% Result : Theorem 8.69s 6.73s
% Output : CNFRefutation 8.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 2
% Syntax : Number of formulae : 7 ( 7 unt; 0 typ; 0 def)
% Number of atoms : 7 ( 6 equ; 0 cnn)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 15 ( 3 ~; 0 |; 0 &; 12 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 2 ( 1 avg)
% Number of types : 2 ( 2 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 5 ( 3 usr; 3 con; 0-2 aty)
% Number of variables : 0 ( 0 ^; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
extended_enat: $tType ).
thf(decl_sort2,type,
vEBT_VEBT: $tType ).
thf(decl_124,type,
extend5688581933313929465d_enat: extended_enat ).
thf(decl_843,type,
vEBT_VEBT_elim_dead: vEBT_VEBT > extended_enat > vEBT_VEBT ).
thf(decl_900,type,
summarya: vEBT_VEBT ).
thf(conj_0,conjecture,
( ( vEBT_VEBT_elim_dead @ summarya @ extend5688581933313929465d_enat )
= summarya ),
file('/export/starexec/sandbox2/tmp/tmp.sbsRTSUmGE/E---3.1_1129437.p',conj_0) ).
thf(fact_1__C2_OIH_C_I2_J,axiom,
( ( vEBT_VEBT_elim_dead @ summarya @ extend5688581933313929465d_enat )
= summarya ),
file('/export/starexec/sandbox2/tmp/tmp.sbsRTSUmGE/E---3.1_1129437.p',fact_1__C2_OIH_C_I2_J) ).
thf(c_0_2,negated_conjecture,
( ( vEBT_VEBT_elim_dead @ summarya @ extend5688581933313929465d_enat )
!= summarya ),
inference(assume_negation,[status(cth)],[conj_0]) ).
thf(c_0_3,negated_conjecture,
( ( vEBT_VEBT_elim_dead @ summarya @ extend5688581933313929465d_enat )
!= summarya ),
inference(fof_simplification,[status(thm)],[c_0_2]) ).
thf(c_0_4,negated_conjecture,
( ( vEBT_VEBT_elim_dead @ summarya @ extend5688581933313929465d_enat )
!= summarya ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_5,plain,
( ( vEBT_VEBT_elim_dead @ summarya @ extend5688581933313929465d_enat )
= summarya ),
inference(split_conjunct,[status(thm)],[fact_1__C2_OIH_C_I2_J]) ).
thf(c_0_6,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_4,c_0_5])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP222^1 : TPTP v9.3.1. Bugfixed v9.2.1.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n026.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 20:22:42 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.24 Running higher-order theorem proving
% 4.34/4.47 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.sbsRTSUmGE/E---3.1_1129437.p
% 8.69/6.73 % Version: 3.5.1-ho
% 8.69/6.73 % partial match(1): HMLMSMSMSSLCHFA
% 8.69/6.73 % Preprocessing class: HMLMSMLMSSLCHFA.
% 8.69/6.73 % Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 8.69/6.73 % Starting new_ho_10 with 1495s (5) cores
% 8.69/6.73 % Starting sh5l with 299s (1) cores
% 8.69/6.73 % Starting new_bool_1 with 299s (1) cores
% 8.69/6.73 % Starting new_bool_2 with 299s (1) cores
% 8.69/6.73 % new_bool_2 with pid 1129511 completed with status 0
% 8.69/6.73 % Result found by new_bool_2
% 8.69/6.73 % partial match(1): HMLMSMSMSSLCHFA
% 8.69/6.73 % Preprocessing class: HMLMSMLMSSLCHFA.
% 8.69/6.73 % Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 8.69/6.73 % Starting new_ho_10 with 1495s (5) cores
% 8.69/6.73 % Starting sh5l with 299s (1) cores
% 8.69/6.73 % Starting new_bool_1 with 299s (1) cores
% 8.69/6.73 % Starting new_bool_2 with 299s (1) cores
% 8.69/6.73 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 8.69/6.73 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 8.69/6.73 % Search class: HGHSM-SMLM32-DHFFFFBN
% 8.69/6.73 % partial match(1): HGHSM-SMLM32-DHFFFSBN
% 8.69/6.73 % Scheduled 5 strats onto 1 cores with 299 seconds (299 total)
% 8.69/6.73 % Starting SubtermCWHack with 30s (1) cores
% 8.69/6.73 % SubtermCWHack with pid 1129512 completed with status 0
% 8.69/6.73 % Result found by SubtermCWHack
% 8.69/6.73 % partial match(1): HMLMSMSMSSLCHFA
% 8.69/6.73 % Preprocessing class: HMLMSMLMSSLCHFA.
% 8.69/6.73 % Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 8.69/6.73 % Starting new_ho_10 with 1495s (5) cores
% 8.69/6.73 % Starting sh5l with 299s (1) cores
% 8.69/6.73 % Starting new_bool_1 with 299s (1) cores
% 8.69/6.73 % Starting new_bool_2 with 299s (1) cores
% 8.69/6.73 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 8.69/6.73 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 8.69/6.73 % Search class: HGHSM-SMLM32-DHFFFFBN
% 8.69/6.73 % partial match(1): HGHSM-SMLM32-DHFFFSBN
% 8.69/6.73 % Scheduled 5 strats onto 1 cores with 299 seconds (299 total)
% 8.69/6.73 % Starting SubtermCWHack with 30s (1) cores
% 8.69/6.73 % Preprocessing time : 0.178 s
% 8.69/6.73
% 8.69/6.73 % Proof found!
% 8.69/6.73 % SZS status Theorem
% 8.69/6.73 % SZS output start CNFRefutation
% See solution above
% 8.69/6.73 % Parsed axioms : 11215
% 8.69/6.73 % Removed by relevancy pruning/SinE : 9175
% 8.69/6.73 % Initial clauses : 10830
% 8.69/6.73 % Removed in clause preprocessing : 199
% 8.69/6.73 % Initial clauses in saturation : 10631
% 8.69/6.73 % Processed clauses : 219
% 8.69/6.73 % ...of these trivial : 43
% 8.69/6.73 % ...subsumed : 40
% 8.69/6.73 % ...remaining for further processing : 135
% 8.69/6.73 % Other redundant clauses eliminated : 12
% 8.69/6.73 % Clauses deleted for lack of memory : 0
% 8.69/6.73 % Backward-subsumed : 5
% 8.69/6.73 % Backward-rewritten : 4
% 8.69/6.73 % Generated clauses : 47
% 8.69/6.73 % ...of the previous two non-redundant : 26
% 8.69/6.73 % ...aggressively subsumed : 0
% 8.69/6.73 % Contextual simplify-reflections : 0
% 8.69/6.73 % Paramodulations : 28
% 8.69/6.73 % Factorizations : 0
% 8.69/6.73 % NegExts : 0
% 8.69/6.73 % Equation resolutions : 12
% 8.69/6.73 % Disequality decompositions : 0
% 8.69/6.73 % Total rewrite steps : 74
% 8.69/6.73 % ...of those cached : 29
% 8.69/6.73 % Propositional unsat checks : 0
% 8.69/6.73 % Propositional check models : 0
% 8.69/6.73 % Propositional check unsatisfiable : 0
% 8.69/6.73 % Propositional clauses : 0
% 8.69/6.73 % Propositional clauses after purity: 0
% 8.69/6.73 % Propositional unsat core size : 0
% 8.69/6.73 % Propositional preprocessing time : 0.000
% 8.69/6.73 % Propositional encoding time : 0.000
% 8.69/6.73 % Propositional solver time : 0.000
% 8.69/6.73 % Success case prop preproc time : 0.000
% 8.69/6.73 % Success case prop encoding time : 0.000
% 8.69/6.73 % Success case prop solver time : 0.000
% 8.69/6.73 % Current number of processed clauses : 114
% 8.69/6.73 % Positive orientable unit clauses : 76
% 8.69/6.73 % Positive unorientable unit clauses: 0
% 8.69/6.73 % Negative unit clauses : 37
% 8.69/6.73 % Non-unit-clauses : 1
% 8.69/6.73 % Current number of unprocessed clauses: 10438
% 8.69/6.73 % ...number of literals in the above : 56862
% 8.69/6.73 % Current number of archived formulas : 0
% 8.69/6.73 % Current number of archived clauses : 9
% 8.69/6.73 % Clause-clause subsumption calls (NU) : 0
% 8.69/6.73 % Rec. Clause-clause subsumption calls : 0
% 8.69/6.73 % Non-unit clause-clause subsumptions : 0
% 8.69/6.73 % Unit Clause-clause subsumption calls : 564
% 8.69/6.73 % Rewrite failures with RHS unbound : 0
% 8.69/6.73 % BW rewrite match attempts : 22
% 8.69/6.73 % BW rewrite match successes : 4
% 8.69/6.73 % Condensation attempts : 0
% 8.69/6.73 % Condensation successes : 0
% 8.69/6.73 % Termbank termtop insertions : 624841
% 8.69/6.73 % Search garbage collected termcells : 160105
% 8.69/6.73
% 8.69/6.73 % -------------------------------------------------
% 8.69/6.73 % User time : 0.682 s
% 8.69/6.73 % System time : 0.081 s
% 8.69/6.73 % Total time : 0.763 s
% 8.69/6.73 % Maximum resident set size: 45248 pages
% 8.69/6.73
% 8.69/6.73 % -------------------------------------------------
% 8.69/6.73 % User time : 2.112 s
% 8.69/6.73 % System time : 0.125 s
% 8.69/6.73 % Total time : 2.237 s
% 8.69/6.73 % Maximum resident set size: 28160 pages
% 8.69/6.73 % E exiting
%------------------------------------------------------------------------------