%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : ARI083_1 : TPTP v8.1.2. Released v5.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n004.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Apr 30 10:34:34 EDT 2024

% Result   : Theorem 0.13s 0.37s
% Output   : Refutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    1
% Syntax   : Number of formulae    :    6 (   2 unt;   0 typ;   0 def)
%            Number of atoms       :   22 (  21 equ)
%            Maximal formula atoms :    5 (   3 avg)
%            Number of connectives :   20 (   4   ~;   0   |;  14   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   9 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number arithmetic     :   46 (   0 atm;  16 fun;   0 num;  30 var)
%            Number of types       :    1 (   0 usr;   1 ari)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    1 (   0 usr;   0 con; 2-2 aty)
%            Number of variables   :   30 (  16   !;  14   ?;  30   :)

% Comments : 
%------------------------------------------------------------------------------
tff(f22,plain,
    $false,
    inference(equality_resolution,[],[f21]) ).

tff(f21,plain,
    ! [X6: $int,X4: $int] : ( X4 != X6 ),
    inference(cnf_transformation,[],[f16]) ).

tff(f16,plain,
    ! [X0: $int,X1: $int,X2: $int,X3: $int,X4: $int,X5: $int,X6: $int] :
      ( ( X4 != X6 )
      & ( $sum(X0,X5) = X6 )
      & ( $sum(X1,X2) = X5 )
      & ( $sum(X3,X2) = X4 )
      & ( $sum(X0,X1) = X3 ) ),
    inference(flattening,[],[f15]) ).

tff(f15,plain,
    ! [X0: $int,X1: $int,X2: $int,X3: $int,X4: $int,X5: $int,X6: $int] :
      ( ( X4 != X6 )
      & ( $sum(X0,X5) = X6 )
      & ( $sum(X1,X2) = X5 )
      & ( $sum(X3,X2) = X4 )
      & ( $sum(X0,X1) = X3 ) ),
    inference(ennf_transformation,[],[f2]) ).

tff(f2,negated_conjecture,
    ~ ? [X0: $int,X1: $int,X2: $int,X3: $int,X4: $int,X5: $int,X6: $int] :
        ( ( ( $sum(X0,X5) = X6 )
          & ( $sum(X1,X2) = X5 )
          & ( $sum(X3,X2) = X4 )
          & ( $sum(X0,X1) = X3 ) )
       => ( X4 = X6 ) ),
    inference(negated_conjecture,[],[f1]) ).

tff(f1,conjecture,
    ? [X0: $int,X1: $int,X2: $int,X3: $int,X4: $int,X5: $int,X6: $int] :
      ( ( ( $sum(X0,X5) = X6 )
        & ( $sum(X1,X2) = X5 )
        & ( $sum(X3,X2) = X4 )
        & ( $sum(X0,X1) = X3 ) )
     => ( X4 = X6 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',associative_sum_exists) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : ARI083_1 : TPTP v8.1.2. Released v5.0.0.
% 0.11/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35  % Computer : n004.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Tue Apr 30 05:26:33 EDT 2024
% 0.13/0.35  % CPUTime    : 
% 0.13/0.35  % (1380)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.36  % (1386)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.13/0.36  % (1386)First to succeed.
% 0.13/0.37  % (1386)Refutation found. Thanks to Tanya!
% 0.13/0.37  % SZS status Theorem for theBenchmark
% 0.13/0.37  % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.37  % (1386)------------------------------
% 0.13/0.37  % (1386)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.13/0.37  % (1386)Termination reason: Refutation
% 0.13/0.37  
% 0.13/0.37  % (1386)Memory used [KB]: 732
% 0.13/0.37  % (1386)Time elapsed: 0.002 s
% 0.13/0.37  % (1386)Instructions burned: 2 (million)
% 0.13/0.37  % (1386)------------------------------
% 0.13/0.37  % (1386)------------------------------
% 0.13/0.37  % (1380)Success in time 0.01 s
%------------------------------------------------------------------------------