%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : ARI083_1 : TPTP v8.1.2. Released v5.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n008.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 30 17:39:55 EDT 2023

% Result   : Theorem 0.62s 1.10s
% Output   : CNFRefutation 0.62s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    1
% Syntax   : Number of formulae    :    7 (   3 unt;   0 typ;   0 def)
%            Number of atoms       :   23 (  21 equ)
%            Maximal formula atoms :    5 (   3 avg)
%            Number of connectives :   20 (   4   ~;   0   |;  14   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   8 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 (   0 sgn;  16   !;  14   ?;  30   :)

% Comments : 
%------------------------------------------------------------------------------
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) ).

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

tff(f22,plain,
    $false,
    inference(equality_resolution,[],[f21]) ).

cnf(c_61,negated_conjecture,
    $false,
    inference(cnf_transformation,[],[f22]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem  : ARI083_1 : TPTP v8.1.2. Released v5.0.0.
% 0.00/0.10  % Command  : run_iprover %s %d THM
% 0.09/0.31  % Computer : n008.cluster.edu
% 0.09/0.31  % Model    : x86_64 x86_64
% 0.09/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.31  % Memory   : 8042.1875MB
% 0.09/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.31  % CPULimit : 300
% 0.09/0.31  % WCLimit  : 300
% 0.09/0.31  % DateTime : Tue Aug 29 18:23:17 EDT 2023
% 0.09/0.31  % CPUTime  : 
% 0.15/0.42  Running TFA theorem proving
% 0.15/0.43  Running: /export/starexec/sandbox/solver/bin/run_problem --no_cores 8 --schedule casc_29_tfa /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.62/1.10  % SZS status Started for theBenchmark.p
% 0.62/1.10  % SZS status Theorem for theBenchmark.p
% 0.62/1.10  
% 0.62/1.10  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 0.62/1.10  
% 0.62/1.10  ------  iProver source info
% 0.62/1.10  
% 0.62/1.10  git: date: 2023-05-31 18:12:56 +0000
% 0.62/1.10  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 0.62/1.10  git: non_committed_changes: false
% 0.62/1.10  git: last_make_outside_of_git: false
% 0.62/1.10  
% 0.62/1.10  ------ Parsing...
% 0.62/1.10  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 0.62/1.10  
% 0.62/1.10  % SZS status Theorem for theBenchmark.p
% 0.62/1.10  
% 0.62/1.10  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.62/1.10  
% 0.62/1.10  
%------------------------------------------------------------------------------