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E---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : ITP222^3 : 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 08:04:46 AM UTC 2026

% Result   : Theorem 10.79s 7.16s
% Output   : CNFRefutation 10.79s
% 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.tFPS1QmYLa/E---3.1_1130208.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.tFPS1QmYLa/E---3.1_1130208.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  : ITP222^3 : 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 20:22:57 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
% 4.36/4.44  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.tFPS1QmYLa/E---3.1_1130208.p
% 10.79/7.16  % Version: 3.5.1-ho
% 10.79/7.16  % partial match(1): HMLMSMSMSSLCHFA
% 10.79/7.16  % Preprocessing class: HMLMSMLMSSLCHFA.
% 10.79/7.16  % Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 10.79/7.16  % Starting new_ho_10 with 1495s (5) cores
% 10.79/7.16  % Starting sh5l with 299s (1) cores
% 10.79/7.16  % Starting new_bool_1 with 299s (1) cores
% 10.79/7.16  % Starting new_bool_2 with 299s (1) cores
% 10.79/7.16  % new_bool_2 with pid 1130277 completed with status 0
% 10.79/7.16  % Result found by new_bool_2
% 10.79/7.16  % partial match(1): HMLMSMSMSSLCHFA
% 10.79/7.16  % Preprocessing class: HMLMSMLMSSLCHFA.
% 10.79/7.16  % Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 10.79/7.16  % Starting new_ho_10 with 1495s (5) cores
% 10.79/7.16  % Starting sh5l with 299s (1) cores
% 10.79/7.16  % Starting new_bool_1 with 299s (1) cores
% 10.79/7.16  % Starting new_bool_2 with 299s (1) cores
% 10.79/7.16  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 10.79/7.16  % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 10.79/7.16  % Search class: HGHSM-SMLM32-DHFFFFBN
% 10.79/7.16  % partial match(1): HGHSM-SMLM32-DHFFFSBN
% 10.79/7.16  % Scheduled 5 strats onto 1 cores with 298 seconds (298 total)
% 10.79/7.16  % Starting SubtermCWHack with 30s (1) cores
% 10.79/7.16  % SubtermCWHack with pid 1130278 completed with status 0
% 10.79/7.16  % Result found by SubtermCWHack
% 10.79/7.16  % partial match(1): HMLMSMSMSSLCHFA
% 10.79/7.16  % Preprocessing class: HMLMSMLMSSLCHFA.
% 10.79/7.16  % Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 10.79/7.16  % Starting new_ho_10 with 1495s (5) cores
% 10.79/7.16  % Starting sh5l with 299s (1) cores
% 10.79/7.16  % Starting new_bool_1 with 299s (1) cores
% 10.79/7.16  % Starting new_bool_2 with 299s (1) cores
% 10.79/7.16  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 10.79/7.16  % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 10.79/7.16  % Search class: HGHSM-SMLM32-DHFFFFBN
% 10.79/7.16  % partial match(1): HGHSM-SMLM32-DHFFFSBN
% 10.79/7.16  % Scheduled 5 strats onto 1 cores with 298 seconds (298 total)
% 10.79/7.16  % Starting SubtermCWHack with 30s (1) cores
% 10.79/7.16  % Preprocessing time       : 0.168 s
% 10.79/7.16  
% 10.79/7.16  % Proof found!
% 10.79/7.16  % SZS status Theorem
% 10.79/7.16  % SZS output start CNFRefutation
% See solution above
% 10.79/7.16  % Parsed axioms                        : 11215
% 10.79/7.16  % Removed by relevancy pruning/SinE    : 9175
% 10.79/7.16  % Initial clauses                      : 10830
% 10.79/7.16  % Removed in clause preprocessing      : 199
% 10.79/7.16  % Initial clauses in saturation        : 10631
% 10.79/7.16  % Processed clauses                    : 219
% 10.79/7.16  % ...of these trivial                  : 43
% 10.79/7.16  % ...subsumed                          : 40
% 10.79/7.16  % ...remaining for further processing  : 135
% 10.79/7.16  % Other redundant clauses eliminated   : 12
% 10.79/7.16  % Clauses deleted for lack of memory   : 0
% 10.79/7.16  % Backward-subsumed                    : 5
% 10.79/7.16  % Backward-rewritten                   : 4
% 10.79/7.16  % Generated clauses                    : 47
% 10.79/7.16  % ...of the previous two non-redundant : 26
% 10.79/7.16  % ...aggressively subsumed             : 0
% 10.79/7.16  % Contextual simplify-reflections      : 0
% 10.79/7.16  % Paramodulations                      : 28
% 10.79/7.16  % Factorizations                       : 0
% 10.79/7.16  % NegExts                              : 0
% 10.79/7.16  % Equation resolutions                 : 12
% 10.79/7.16  % Disequality decompositions           : 0
% 10.79/7.16  % Total rewrite steps                  : 74
% 10.79/7.16  % ...of those cached                   : 29
% 10.79/7.16  % Propositional unsat checks           : 0
% 10.79/7.16  %    Propositional check models        : 0
% 10.79/7.16  %    Propositional check unsatisfiable : 0
% 10.79/7.16  %    Propositional clauses             : 0
% 10.79/7.16  %    Propositional clauses after purity: 0
% 10.79/7.16  %    Propositional unsat core size     : 0
% 10.79/7.16  %    Propositional preprocessing time  : 0.000
% 10.79/7.16  %    Propositional encoding time       : 0.000
% 10.79/7.16  %    Propositional solver time         : 0.000
% 10.79/7.16  %    Success case prop preproc time    : 0.000
% 10.79/7.16  %    Success case prop encoding time   : 0.000
% 10.79/7.16  %    Success case prop solver time     : 0.000
% 10.79/7.16  % Current number of processed clauses  : 114
% 10.79/7.16  %    Positive orientable unit clauses  : 76
% 10.79/7.16  %    Positive unorientable unit clauses: 0
% 10.79/7.16  %    Negative unit clauses             : 37
% 10.79/7.16  %    Non-unit-clauses                  : 1
% 10.79/7.16  % Current number of unprocessed clauses: 10438
% 10.79/7.16  % ...number of literals in the above   : 56862
% 10.79/7.16  % Current number of archived formulas  : 0
% 10.79/7.16  % Current number of archived clauses   : 9
% 10.79/7.16  % Clause-clause subsumption calls (NU) : 0
% 10.79/7.16  % Rec. Clause-clause subsumption calls : 0
% 10.79/7.16  % Non-unit clause-clause subsumptions  : 0
% 10.79/7.16  % Unit Clause-clause subsumption calls : 564
% 10.79/7.16  % Rewrite failures with RHS unbound    : 0
% 10.79/7.16  % BW rewrite match attempts            : 22
% 10.79/7.16  % BW rewrite match successes           : 4
% 10.79/7.16  % Condensation attempts                : 0
% 10.79/7.16  % Condensation successes               : 0
% 10.79/7.16  % Termbank termtop insertions          : 624841
% 10.79/7.16  % Search garbage collected termcells   : 160105
% 10.79/7.16  
% 10.79/7.16  % -------------------------------------------------
% 10.79/7.16  % User time                : 1.194 s
% 10.79/7.16  % System time              : 0.098 s
% 10.79/7.16  % Total time               : 1.292 s
% 10.79/7.16  % Maximum resident set size: 45300 pages
% 10.79/7.16  
% 10.79/7.16  % -------------------------------------------------
% 10.79/7.16  % User time                : 2.529 s
% 10.79/7.16  % System time              : 0.148 s
% 10.79/7.16  % Total time               : 2.677 s
% 10.79/7.16  % Maximum resident set size: 28160 pages
% 10.79/7.16  % E exiting
%------------------------------------------------------------------------------