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Vampire-SAT---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SYO193^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT

% Computer : n011.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 08:49:28 AM UTC 2026

% Result   : Theorem 0.08s 0.26s
% Output   : Refutation 0.08s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    1
% Syntax   : Number of formulae    :    9 (   6 unt;   0 typ;   0 def)
%            Number of atoms       :   11 (   5 equ;   0 cnn)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :   23 (  15   ~;   0   |;   0   &;   8   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   5 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :   24 (  24   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    7 (   4 usr;   2 con; 0-4 aty)
%            Number of variables   :   16 (   0   ^;  11   !;   5   ?;  16   :)

% Comments : 
%------------------------------------------------------------------------------
thf(type_def_5,type,
    sTfun: ( $tType * $tType ) > $tType ).

thf(func_def_3,type,
    vNOT: $o > $o ).

thf(func_def_4,type,
    db0: 
      !>[X0: $tType] : X0 ).

thf(func_def_5,type,
    vLAM: 
      !>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).

thf(f1,conjecture,
    ~ ! [X0: ( $o > $o ) > $o] :
        ~ ? [X1: $o > $o] : ( X0 @ X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cCT20) ).

thf(f2,negated_conjecture,
    ~ ~ ! [X0: ( $o > $o ) > $o] :
          ~ ? [X1: $o > $o] : ( X0 @ X1 ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

thf(f3,plain,
    ~ ~ ! [X0: ( $o > $o ) > $o] :
          ~ ? [X1: $o > $o] : ( X0 @ X1 ),
    inference(rectify,[],[f2]) ).

thf(f4,plain,
    ~ ~ ! [X0: ( $o > $o ) > $o] :
          ~ ? [X1: $o > $o] :
              ( ( X0 @ X1 )
              = $true ),
    inference(fool_elimination,[],[f3]) ).

thf(f5,plain,
    ! [X0: ( $o > $o ) > $o] :
      ~ ? [X1: $o > $o] :
          ( ( X0 @ X1 )
          = $true ),
    inference(flattening,[],[f4]) ).

thf(f6,plain,
    ! [X0: ( $o > $o ) > $o,X1: $o > $o] :
      ( ( X0 @ X1 )
     != $true ),
    inference(ennf_transformation,[],[f5]) ).

thf(f7,plain,
    ! [X0: ( $o > $o ) > $o,X1: $o > $o] :
      ( ( X0 @ X1 )
     != $true ),
    inference(flattening,[],[f6]) ).

thf(f8,plain,
    ! [X0: ( $o > $o ) > $o,X1: $o > $o] :
      ( ( X0 @ X1 )
     != $true ),
    inference(cnf_transformation,[],[f7]) ).

thf(f16,plain,
    $false,
    inference(equality_resolution,[],[f8]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYO193^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.18  % Computer : n011.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 16:39:01 UTC 2026
% 0.08/0.19  % CPUTime  : 
% 0.08/0.19  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.22  Running first-order model finding
% 0.08/0.22  Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.26  % (316320)Will run a generic schedule for satisfiability detection.
% 0.08/0.26  % (316326)% WARNING: option uhcvi not known.
% 0.08/0.26  % (316326)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2865293002:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.08/0.26  % (316326)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.08/0.26  % (316326)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 0.08/0.26  % (316326) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-316320-316326"...
% 0.08/0.26  % (316326)...printing done.
% 0.08/0.26  % (316326)Refutation found. Thanks to Tanya!
% 0.08/0.26  % SZS status Theorem for theBenchmark
% 0.08/0.26  % SZS output start Proof for theBenchmark
% See solution above
% 0.08/0.26  % (316326)------------------------------
% 0.08/0.26  % (316326)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.26  % (316326)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.26  % (316326)CaDiCaL version: 2.1.3
% 0.08/0.26  % (316326)Termination reason: Refutation
% 0.08/0.26  % (316326)Time elapsed: 0.001 s
% 0.08/0.26  % (316326)Peak memory usage: 12 MB
% 0.08/0.26  % (316320)Success in time 0.031 s
% 0.08/0.26  % Vampire exiting
%------------------------------------------------------------------------------