%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : ARI083_1 : TPTP v8.1.0. Released v5.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n024.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 : Wed Aug 31 15:47:24 EDT 2022

% Result   : Theorem 0.20s 0.50s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    1
% Syntax   : Number of formulae    :    8 (   2 unt;   0 typ;   0 def)
%            Number of atoms       :   32 (  31 equ)
%            Maximal formula atoms :    5 (   4 avg)
%            Number of connectives :   30 (   6   ~;   0   |;  21   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (  10 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number arithmetic     :   68 (   0 atm;  24 fun;   0 num;  44 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   :   44 (  23   !;  21   ?;  44   :)

% Comments : 
%------------------------------------------------------------------------------
tff(f24,plain,
    $false,
    inference(equality_resolution,[],[f23]) ).

tff(f23,plain,
    ! [X3: $int,X5: $int] : ( X3 != X5 ),
    inference(cnf_transformation,[],[f18]) ).

tff(f18,plain,
    ! [X0: $int,X1: $int,X2: $int,X3: $int,X4: $int,X5: $int,X6: $int] :
      ( ( X3 != X5 )
      & ( $sum(X0,X2) = X3 )
      & ( $sum(X4,X6) = X0 )
      & ( $sum(X4,X1) = X5 )
      & ( $sum(X6,X2) = X1 ) ),
    inference(rectify,[],[f17]) ).

tff(f17,plain,
    ! [X6: $int,X4: $int,X3: $int,X5: $int,X1: $int,X0: $int,X2: $int] :
      ( ( X0 != X5 )
      & ( $sum(X6,X3) = X5 )
      & ( $sum(X1,X2) = X6 )
      & ( $sum(X1,X4) = X0 )
      & ( $sum(X2,X3) = X4 ) ),
    inference(flattening,[],[f16]) ).

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

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

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

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : ARI083=1 : TPTP v8.1.0. Released v5.0.0.
% 0.06/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34  % Computer : n024.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Mon Aug 29 15:23:04 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.49  % (14401)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/355Mi)
% 0.20/0.49  % (14385)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99Mi)
% 0.20/0.49  % (14385)First to succeed.
% 0.20/0.50  % (14393)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/138Mi)
% 0.20/0.50  % (14385)Refutation found. Thanks to Tanya!
% 0.20/0.50  % SZS status Theorem for theBenchmark
% 0.20/0.50  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.50  % (14385)------------------------------
% 0.20/0.50  % (14385)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50  % (14385)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50  % (14385)Termination reason: Refutation
% 0.20/0.50  
% 0.20/0.50  % (14385)Memory used [KB]: 5373
% 0.20/0.50  % (14385)Time elapsed: 0.005 s
% 0.20/0.50  % (14385)Instructions burned: 2 (million)
% 0.20/0.50  % (14385)------------------------------
% 0.20/0.50  % (14385)------------------------------
% 0.20/0.50  % (14371)Success in time 0.15 s
%------------------------------------------------------------------------------