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E---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : SEV048^5 : 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 : n006.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 08:34:46 AM UTC 2026

% Result   : Theorem 0.26s 0.36s
% Output   : CNFRefutation 0.26s
% 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       :    9 (   0 equ;   0 cnn)
%            Maximal formula atoms :    6 (   1 avg)
%            Number of connectives :   36 (   2   ~;   0   |;   4   &;  28   @)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   22 (  22   >;   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,
    epred3_1: ( ( $i > $o ) > ( $i > $o ) > $o ) > $i > $o ).

thf(cTHM120_pme,conjecture,
    ? [X1: ( $i > $o ) > ( $i > $o ) > $o] :
    ! [X2: $i > $o,X3: $i > $o,X4: $i > $o] :
      ( ( ( X1 @ X2 @ X3 )
        & ( X1 @ X3 @ X4 ) )
     => ( X1 @ X2 @ X4 ) ),
    file('/export/starexec/sandbox2/tmp/tmp.J2RBIfswW7/E---3.1_838271.p',cTHM120_pme) ).

thf(c_0_1,negated_conjecture,
    ~ ? [X1: ( $i > $o ) > ( $i > $o ) > $o] :
      ! [X2: $i > $o,X3: $i > $o,X4: $i > $o] :
        ( ( ( X1 @ X2 @ X3 )
          & ( X1 @ X3 @ X4 ) )
       => ( X1 @ X2 @ X4 ) ),
    inference(assume_negation,[status(cth)],[cTHM120_pme]) ).

thf(c_0_2,negated_conjecture,
    ! [X9: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( X9 @ ( epred1_1 @ X9 ) @ ( epred2_1 @ X9 ) )
      & ( X9 @ ( epred2_1 @ X9 ) @ ( epred3_1 @ X9 ) )
      & ~ ( X9 @ ( epred1_1 @ X9 ) @ ( epred3_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
% 0.00/0.05  % Problem  : SEV048^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.07  % Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.26  % Computer : n006.cluster.edu
% 0.12/0.26  % Model    : x86_64 x86_64
% 0.12/0.26  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.26  % Memory   : 8046.5625MB
% 0.12/0.26  % OS       : Linux 6.8.0-71-generic
% 0.12/0.26  % CPULimit : 300
% 0.12/0.26  % WCLimit  : 300
% 0.12/0.26  % DateTime : Tue Sep 29 15:04:54 UTC 2026
% 0.12/0.26  % CPUTime  : 
% 0.12/0.26  Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.26/0.32  Running higher-order theorem proving
% 0.26/0.33  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.J2RBIfswW7/E---3.1_838271.p
% 0.26/0.36  % Version: 3.5.1-ho
% 0.26/0.36  % Preprocessing class: HSSSSMSSSSSNHHA.
% 0.26/0.36  % Scheduled 5 strats onto 8 cores with 300 seconds (2400 total)
% 0.26/0.36  % Starting sh2lt with 1200s (4) cores
% 0.26/0.36  % Starting new_ho_10_unif with 300s (1) cores
% 0.26/0.36  % Starting full_lambda_6 with 300s (1) cores
% 0.26/0.36  % Starting post_as_ho1 with 300s (1) cores
% 0.26/0.36  % Starting ehoh_best3_rw with 300s (1) cores
% 0.26/0.36  % full_lambda_6 with pid 838286 completed with status 0
% 0.26/0.36  % Result found by full_lambda_6
% 0.26/0.36  % Preprocessing class: HSSSSMSSSSSNHHA.
% 0.26/0.36  % Scheduled 5 strats onto 8 cores with 300 seconds (2400 total)
% 0.26/0.36  % Starting sh2lt with 1200s (4) cores
% 0.26/0.36  % Starting new_ho_10_unif with 300s (1) cores
% 0.26/0.36  % Starting full_lambda_6 with 300s (1) cores
% 0.26/0.36  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 1, sine = GSinE(CountTerms,hypos,4,,4,20000,1.0,true))
% 0.26/0.36  % SinE strategy is GSinE(CountTerms,hypos,4,,4,20000,1.0,true)
% 0.26/0.36  % Search class: HUUNS-FFSF00-SHHFFMBN
% 0.26/0.36  % partial match(1): HUUNF-FFSF00-SHHFFMBN
% 0.26/0.36  % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.26/0.36  % Starting SubtermCWHack with 28s (1) cores
% 0.26/0.36  % SubtermCWHack with pid 838292 completed with status 0
% 0.26/0.36  % Result found by SubtermCWHack
% 0.26/0.36  % Preprocessing class: HSSSSMSSSSSNHHA.
% 0.26/0.36  % Scheduled 5 strats onto 8 cores with 300 seconds (2400 total)
% 0.26/0.36  % Starting sh2lt with 1200s (4) cores
% 0.26/0.36  % Starting new_ho_10_unif with 300s (1) cores
% 0.26/0.36  % Starting full_lambda_6 with 300s (1) cores
% 0.26/0.36  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 1, sine = GSinE(CountTerms,hypos,4,,4,20000,1.0,true))
% 0.26/0.36  % SinE strategy is GSinE(CountTerms,hypos,4,,4,20000,1.0,true)
% 0.26/0.36  % Search class: HUUNS-FFSF00-SHHFFMBN
% 0.26/0.36  % partial match(1): HUUNF-FFSF00-SHHFFMBN
% 0.26/0.36  % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.26/0.36  % Starting SubtermCWHack with 28s (1) cores
% 0.26/0.36  % Preprocessing time       : 0.001 s
% 0.26/0.36  
% 0.26/0.36  % Proof found!
% 0.26/0.36  % SZS status Theorem
% 0.26/0.36  % SZS output start CNFRefutation
% See solution above
% 0.26/0.36  % Parsed axioms                        : 1
% 0.26/0.36  % Removed by relevancy pruning/SinE    : 0
% 0.26/0.36  % Initial clauses                      : 3
% 0.26/0.36  % Removed in clause preprocessing      : 0
% 0.26/0.36  % Initial clauses in saturation        : 3
% 0.26/0.36  % Processed clauses                    : 1
% 0.26/0.36  % ...of these trivial                  : 0
% 0.26/0.36  % ...subsumed                          : 0
% 0.26/0.36  % ...remaining for further processing  : 0
% 0.26/0.36  % Other redundant clauses eliminated   : 0
% 0.26/0.36  % Clauses deleted for lack of memory   : 0
% 0.26/0.36  % Backward-subsumed                    : 0
% 0.26/0.36  % Backward-rewritten                   : 0
% 0.26/0.36  % Generated clauses                    : 0
% 0.26/0.36  % ...of the previous two non-redundant : 0
% 0.26/0.36  % ...aggressively subsumed             : 0
% 0.26/0.36  % Contextual simplify-reflections      : 0
% 0.26/0.36  % Paramodulations                      : 0
% 0.26/0.36  % Factorizations                       : 0
% 0.26/0.36  % NegExts                              : 0
% 0.26/0.36  % Equation resolutions                 : 0
% 0.26/0.36  % Disequality decompositions           : 0
% 0.26/0.36  % Total rewrite steps                  : 0
% 0.26/0.36  % ...of those cached                   : 0
% 0.26/0.36  % Propositional unsat checks           : 0
% 0.26/0.36  %    Propositional check models        : 0
% 0.26/0.36  %    Propositional check unsatisfiable : 0
% 0.26/0.36  %    Propositional clauses             : 0
% 0.26/0.36  %    Propositional clauses after purity: 0
% 0.26/0.36  %    Propositional unsat core size     : 0
% 0.26/0.36  %    Propositional preprocessing time  : 0.000
% 0.26/0.36  %    Propositional encoding time       : 0.000
% 0.26/0.36  %    Propositional solver time         : 0.000
% 0.26/0.36  %    Success case prop preproc time    : 0.000
% 0.26/0.36  %    Success case prop encoding time   : 0.000
% 0.26/0.36  %    Success case prop solver time     : 0.000
% 0.26/0.36  % Current number of processed clauses  : 0
% 0.26/0.36  %    Positive orientable unit clauses  : 0
% 0.26/0.36  %    Positive unorientable unit clauses: 0
% 0.26/0.36  %    Negative unit clauses             : 0
% 0.26/0.36  %    Non-unit-clauses                  : 0
% 0.26/0.36  % Current number of unprocessed clauses: 2
% 0.26/0.36  % ...number of literals in the above   : 2
% 0.26/0.36  % Current number of archived formulas  : 0
% 0.26/0.36  % Current number of archived clauses   : 0
% 0.26/0.36  % Clause-clause subsumption calls (NU) : 0
% 0.26/0.36  % Rec. Clause-clause subsumption calls : 0
% 0.26/0.36  % Non-unit clause-clause subsumptions  : 0
% 0.26/0.36  % Unit Clause-clause subsumption calls : 0
% 0.26/0.36  % Rewrite failures with RHS unbound    : 0
% 0.26/0.36  % BW rewrite match attempts            : 0
% 0.26/0.36  % BW rewrite match successes           : 0
% 0.26/0.36  % Condensation attempts                : 0
% 0.26/0.36  % Condensation successes               : 0
% 0.26/0.36  % Termbank termtop insertions          : 179
% 0.26/0.36  % Search garbage collected termcells   : 66
% 0.26/0.36  
% 0.26/0.36  % -------------------------------------------------
% 0.26/0.36  % User time                : 0.002 s
% 0.26/0.36  % System time              : 0.003 s
% 0.26/0.36  % Total time               : 0.005 s
% 0.26/0.36  % Maximum resident set size: 3628 pages
% 0.26/0.36  
% 0.26/0.36  % -------------------------------------------------
% 0.26/0.36  % User time                : 0.005 s
% 0.26/0.36  % System time              : 0.008 s
% 0.26/0.36  % Total time               : 0.013 s
% 0.26/0.36  % Maximum resident set size: 4864 pages
% 0.26/0.36  % E exiting
%------------------------------------------------------------------------------