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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SYO389^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n020.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 08:47:34 AM UTC 2026

% Result   : Theorem 0.21s 0.27s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    1
% Syntax   : Number of formulae    :    5 (   5 unt;   0 typ;   0 def)
%            Number of atoms       :   13 (   4 equ;   0 cnn)
%            Maximal formula atoms :    1 (   2 avg)
%            Number of connectives :    3 (   3   ~;   0   |;   0   &;   0   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    2 (   2 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    4 (   2 usr;   1 con; 0-2 aty)
%            Number of variables   :    0 (   0   ^;   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
thf(type_def_5,type,
    b: $tType ).

thf(type_def_6,type,
    sTfun: ( $tType * $tType ) > $tType ).

thf(func_def_0,type,
    cA: b > $o ).

thf(f1,conjecture,
    cA = cA,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cEQ_THM) ).

thf(f2,negated_conjecture,
    cA != cA,
    inference(negated_conjecture,[status(cth)],[f1]) ).

thf(f3,plain,
    cA != cA,
    inference(flattening,[],[f2]) ).

thf(f4,plain,
    cA != cA,
    inference(cnf_transformation,[],[f3]) ).

thf(f7,plain,
    $false,
    inference(trivial_inequality_removal,[],[f4]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYO389^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.19  % Computer : n020.cluster.edu
% 0.08/0.19  % Model    : x86_64 x86_64
% 0.08/0.19  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19  % Memory   : 8046.5625MB
% 0.08/0.19  % OS       : Linux 6.8.0-71-generic
% 0.08/0.19  % CPULimit : 300
% 0.08/0.19  % WCLimit  : 300
% 0.08/0.19  % DateTime : Tue Sep 29 16:51:05 UTC 2026
% 0.08/0.20  % CPUTime  : 
% 0.08/0.20  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.22  Running higher-order theorem proving
% 0.08/0.24  Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.27  % (1300296)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.21/0.27  % (1300301)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=2676891405:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.21/0.27  % (1300301) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1300296-1300301"...
% 0.21/0.27  % (1300301)...printing done.
% 0.21/0.27  % (1300301)Refutation found. Thanks to Tanya!
% 0.21/0.27  % SZS status Theorem for theBenchmark
% 0.21/0.27  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.27  % (1300301)------------------------------
% 0.21/0.27  % (1300301)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.27  % (1300301)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.27  % (1300301)CaDiCaL version: 2.1.3
% 0.21/0.27  % (1300301)Termination reason: Refutation
% 0.21/0.27  % (1300301)Time elapsed: 0.0000 s
% 0.21/0.27  % (1300301)Peak memory usage: 12 MB
% 0.21/0.27  % (1300296)Success in time 0.024 s
% 0.21/0.27  % Vampire exiting
%------------------------------------------------------------------------------