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E-SAT---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E-SAT---3.5.1
% Problem  : SEV409^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox2/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 08:36:34 AM UTC 2026

% Result   : Theorem 0.09s 0.27s
% Output   : CNFRefutation 0.09s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    1
% Syntax   : Number of formulae    :    5 (   1 unt;   0 typ;   0 def)
%            Number of atoms       :   11 (   0 equ;   0 cnn)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :   50 (   3   ~;   2   |;   5   &;  36   @)
%                                         (   2 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   20 (  20   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    4 (   3 usr;   1 con; 0-2 aty)
%            Number of variables   :   10 (   0   ^;   8   !;   2   ?;  10   :)

% Comments : 
%------------------------------------------------------------------------------
thf(decl_23,type,
    epred1_1: ( ( $i > $o ) > ( $i > $o ) > $o ) > $i > $o ).

thf(decl_24,type,
    epred2_1: ( ( $i > $o ) > ( $i > $o ) > $o ) > $i > $o ).

thf(decl_25,type,
    esk1_1: ( ( $i > $o ) > ( $i > $o ) > $o ) > $i ).

thf(cTHM120_BUG_pme,conjecture,
    ? [X1: ( $i > $o ) > ( $i > $o ) > $o] :
    ! [X2: $i > $o,X3: $i > $o] :
      ( ( ( X1 @ X2 @ X3 )
        & ( X1 @ X3 @ X2 ) )
     => ! [X4: $i] :
          ( ( X2 @ X4 )
        <=> ( X3 @ X4 ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.756qKlsQVp/E---3.1_3025532.p',cTHM120_BUG_pme) ).

thf(c_0_1,negated_conjecture,
    ~ ? [X1: ( $i > $o ) > ( $i > $o ) > $o] :
      ! [X2: $i > $o,X3: $i > $o] :
        ( ( ( X1 @ X2 @ X3 )
          & ( X1 @ X3 @ X2 ) )
       => ! [X4: $i] :
            ( ( X2 @ X4 )
          <=> ( X3 @ X4 ) ) ),
    inference(assume_negation,[status(cth)],[cTHM120_BUG_pme]) ).

thf(c_0_2,negated_conjecture,
    ! [X9: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( X9 @ ( epred1_1 @ X9 ) @ ( epred2_1 @ X9 ) )
      & ( X9 @ ( epred2_1 @ X9 ) @ ( epred1_1 @ X9 ) )
      & ( ~ ( epred1_1 @ X9 @ ( esk1_1 @ X9 ) )
        | ~ ( epred2_1 @ X9 @ ( esk1_1 @ X9 ) ) )
      & ( ( epred1_1 @ X9 @ ( esk1_1 @ X9 ) )
        | ( epred2_1 @ X9 @ ( esk1_1 @ X9 ) ) ) ),
    inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])])]) ).

thf(c_0_3,negated_conjecture,
    ! [X1: ( $i > $o ) > ( $i > $o ) > $o] : ( X1 @ ( epred1_1 @ X1 ) @ ( epred2_1 @ X1 ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_4,negated_conjecture,
    $false,
    inference(flex_resolve,[status(thm)],[c_0_3]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SEV409^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05  % Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.18  % Computer : n010.cluster.edu
% 0.09/0.18  % Model    : x86_64 x86_64
% 0.09/0.18  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18  % Memory   : 8046.5625MB
% 0.09/0.18  % OS       : Linux 6.8.0-71-generic
% 0.09/0.18  % CPULimit : 300
% 0.09/0.18  % WCLimit  : 300
% 0.09/0.18  % DateTime : Tue Sep 29 15:45:57 UTC 2026
% 0.09/0.19  % CPUTime  : 
% 0.09/0.19  Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.23  Running higher-order theorem proving
% 0.09/0.24  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.756qKlsQVp/E---3.1_3025532.p
% 0.09/0.27  % Version: 3.5.1-ho
% 0.09/0.27  % Preprocessing class: HSSSSMSSSSSNHHA.
% 0.09/0.27  % Scheduled 5 strats onto 8 cores with 300 seconds (2400 total)
% 0.09/0.27  % Starting sh2lt with 1200s (4) cores
% 0.09/0.27  % Starting new_ho_10_unif with 300s (1) cores
% 0.09/0.27  % Starting full_lambda_6 with 300s (1) cores
% 0.09/0.27  % Starting post_as_ho1 with 300s (1) cores
% 0.09/0.27  % Starting ehoh_best3_rw with 300s (1) cores
% 0.09/0.27  % full_lambda_6 with pid 3025573 completed with status 0
% 0.09/0.27  % Result found by full_lambda_6
% 0.09/0.27  % Preprocessing class: HSSSSMSSSSSNHHA.
% 0.09/0.27  % Scheduled 5 strats onto 8 cores with 300 seconds (2400 total)
% 0.09/0.27  % Starting sh2lt with 1200s (4) cores
% 0.09/0.27  % Starting new_ho_10_unif with 300s (1) cores
% 0.09/0.27  % Starting full_lambda_6 with 300s (1) cores
% 0.09/0.27  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 1, sine = GSinE(CountTerms,hypos,4,,4,20000,1.0,true))
% 0.09/0.27  % SinE strategy is GSinE(CountTerms,hypos,4,,4,20000,1.0,true)
% 0.09/0.27  % Search class: HGHNS-FFSF11-SHHFFMBN
% 0.09/0.27  % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.09/0.27  % Starting SubtermCWHack with 28s (1) cores
% 0.09/0.27  % SubtermCWHack with pid 3025576 completed with status 0
% 0.09/0.27  % Result found by SubtermCWHack
% 0.09/0.27  % Preprocessing class: HSSSSMSSSSSNHHA.
% 0.09/0.27  % Scheduled 5 strats onto 8 cores with 300 seconds (2400 total)
% 0.09/0.27  % Starting sh2lt with 1200s (4) cores
% 0.09/0.27  % Starting new_ho_10_unif with 300s (1) cores
% 0.09/0.27  % Starting full_lambda_6 with 300s (1) cores
% 0.09/0.27  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 1, sine = GSinE(CountTerms,hypos,4,,4,20000,1.0,true))
% 0.09/0.27  % SinE strategy is GSinE(CountTerms,hypos,4,,4,20000,1.0,true)
% 0.09/0.27  % Search class: HGHNS-FFSF11-SHHFFMBN
% 0.09/0.27  % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.09/0.27  % Starting SubtermCWHack with 28s (1) cores
% 0.09/0.27  % Preprocessing time       : 0.002 s
% 0.09/0.27  
% 0.09/0.27  % Proof found!
% 0.09/0.27  % SZS status Theorem
% 0.09/0.27  % SZS output start CNFRefutation
% See solution above
% 0.09/0.27  % Parsed axioms                        : 1
% 0.09/0.27  % Removed by relevancy pruning/SinE    : 0
% 0.09/0.27  % Initial clauses                      : 4
% 0.09/0.27  % Removed in clause preprocessing      : 0
% 0.09/0.27  % Initial clauses in saturation        : 4
% 0.09/0.27  % Processed clauses                    : 1
% 0.09/0.27  % ...of these trivial                  : 0
% 0.09/0.27  % ...subsumed                          : 0
% 0.09/0.27  % ...remaining for further processing  : 0
% 0.09/0.27  % Other redundant clauses eliminated   : 0
% 0.09/0.27  % Clauses deleted for lack of memory   : 0
% 0.09/0.27  % Backward-subsumed                    : 0
% 0.09/0.27  % Backward-rewritten                   : 0
% 0.09/0.27  % Generated clauses                    : 0
% 0.09/0.27  % ...of the previous two non-redundant : 0
% 0.09/0.27  % ...aggressively subsumed             : 0
% 0.09/0.27  % Contextual simplify-reflections      : 0
% 0.09/0.27  % Paramodulations                      : 0
% 0.09/0.27  % Factorizations                       : 0
% 0.09/0.27  % NegExts                              : 0
% 0.09/0.27  % Equation resolutions                 : 0
% 0.09/0.27  % Disequality decompositions           : 0
% 0.09/0.28  % Total rewrite steps                  : 0
% 0.09/0.28  % ...of those cached                   : 0
% 0.09/0.28  % Propositional unsat checks           : 0
% 0.09/0.28  %    Propositional check models        : 0
% 0.09/0.28  %    Propositional check unsatisfiable : 0
% 0.09/0.28  %    Propositional clauses             : 0
% 0.09/0.28  %    Propositional clauses after purity: 0
% 0.09/0.28  %    Propositional unsat core size     : 0
% 0.09/0.28  %    Propositional preprocessing time  : 0.000
% 0.09/0.28  %    Propositional encoding time       : 0.000
% 0.09/0.28  %    Propositional solver time         : 0.000
% 0.09/0.28  %    Success case prop preproc time    : 0.000
% 0.09/0.28  %    Success case prop encoding time   : 0.000
% 0.09/0.28  %    Success case prop solver time     : 0.000
% 0.09/0.28  % Current number of processed clauses  : 0
% 0.09/0.28  %    Positive orientable unit clauses  : 0
% 0.09/0.28  %    Positive unorientable unit clauses: 0
% 0.09/0.28  %    Negative unit clauses             : 0
% 0.09/0.28  %    Non-unit-clauses                  : 0
% 0.09/0.28  % Current number of unprocessed clauses: 3
% 0.09/0.28  % ...number of literals in the above   : 5
% 0.09/0.28  % Current number of archived formulas  : 0
% 0.09/0.28  % Current number of archived clauses   : 0
% 0.09/0.28  % Clause-clause subsumption calls (NU) : 0
% 0.09/0.28  % Rec. Clause-clause subsumption calls : 0
% 0.09/0.28  % Non-unit clause-clause subsumptions  : 0
% 0.09/0.28  % Unit Clause-clause subsumption calls : 0
% 0.09/0.28  % Rewrite failures with RHS unbound    : 0
% 0.09/0.28  % BW rewrite match attempts            : 0
% 0.09/0.28  % BW rewrite match successes           : 0
% 0.09/0.28  % Condensation attempts                : 0
% 0.09/0.28  % Condensation successes               : 0
% 0.09/0.28  % Termbank termtop insertions          : 270
% 0.09/0.28  % Search garbage collected termcells   : 102
% 0.09/0.28  
% 0.09/0.28  % -------------------------------------------------
% 0.09/0.28  % User time                : 0.002 s
% 0.09/0.28  % System time              : 0.003 s
% 0.09/0.28  % Total time               : 0.005 s
% 0.09/0.28  % Maximum resident set size: 3888 pages
% 0.09/0.28  
% 0.09/0.28  % -------------------------------------------------
% 0.09/0.28  % User time                : 0.004 s
% 0.09/0.28  % System time              : 0.009 s
% 0.09/0.28  % Total time               : 0.013 s
% 0.09/0.28  % Maximum resident set size: 4608 pages
% 0.09/0.28  % E exiting
%------------------------------------------------------------------------------