TSTP Solution File: ARI081_1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : ARI081_1 : TPTP v8.1.2. Released v5.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s

% Computer : n032.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 Aug 22 10:33:10 EDT 2023

% Result   : Theorem 1.90s 1.27s
% Output   : CNFRefutation 1.96s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    2
% Syntax   : Number of formulae    :    5 (   2 unt;   0 typ;   0 def)
%            Number of atoms       :   12 (   9 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   10 (   3   ~;   0   |;   5   &)
%                                         (   1 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number arithmetic     :   26 (   0 atm;   6 fun;  12 num;   8 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    :    3 (   0 usr;   2 con; 0-2 aty)
%            Number of variables   :    8 (;   4   !;   4   ?;   8   :)

% Comments : 
%------------------------------------------------------------------------------
%$ #nlpp

%Foreground sorts:

%Background operators:

%Foreground operators:

tff(f_34,negated_conjecture,
    ~ ! [Z1a: $int,Z2a: $int] :
        ( ( ( $sum(6,7) = Z1a )
          & ( $sum(7,6) = Z2a ) )
       => ( Z1a = Z2a ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',communative_sum_6_7) ).

tff(f_143,plain,
    ? [Z1a: $int,Z2a: $int] :
      ( ( $sum(6,7) = Z1a )
      & ( $sum(7,6) = Z2a )
      & ( Z1a != Z2a ) ),
    inference(cnfTransformation,[status(thm)],[f_34]) ).

tff(f_146,plain,
    ! [Z1a: $int,Z2a: $int] :
      ( ? [Z1a: $int,Z2a: $int] :
          ( ( $sum(6,7) = Z1a )
          & ( $sum(7,6) = Z2a )
          & ( Z1a != Z2a ) )
    <=> $false ),
    inference(theorem,[status(thm),theory('LIA')],]) ).

tff(f_147,plain,
    $false,
    inference(equivalence,[status(thm)],[f_143,f_146]) ).

tff(c_2,plain,
    $false,
    inference(cnfTransformation,[status(thm)],[f_147]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem  : ARI081_1 : TPTP v8.1.2. Released v5.0.0.
% 0.00/0.10  % Command  : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.09/0.29  % Computer : n032.cluster.edu
% 0.09/0.29  % Model    : x86_64 x86_64
% 0.09/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29  % Memory   : 8042.1875MB
% 0.09/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29  % CPULimit : 300
% 0.09/0.29  % WCLimit  : 300
% 0.09/0.29  % DateTime : Fri Aug  4 00:13:21 EDT 2023
% 0.09/0.29  % CPUTime  : 
% 1.90/1.27  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.90/1.27  
% 1.90/1.27  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 1.96/1.31  
% 1.96/1.31  Inference rules
% 1.96/1.31  ----------------------
% 1.96/1.31  #Ref     : 0
% 1.96/1.31  #Sup     : 0
% 1.96/1.31  #Fact    : 0
% 1.96/1.31  #Define  : 0
% 1.96/1.31  #Split   : 0
% 1.96/1.31  #Chain   : 0
% 1.96/1.31  #Close   : 0
% 1.96/1.31  
% 1.96/1.31  Ordering : LPO
% 1.96/1.31  
% 1.96/1.31  Simplification rules
% 1.96/1.31  ----------------------
% 1.96/1.31  #Subsume      : 0
% 1.96/1.31  #Demod        : 0
% 1.96/1.31  #Tautology    : 0
% 1.96/1.31  #SimpNegUnit  : 0
% 1.96/1.31  #BackRed      : 0
% 1.96/1.31  
% 1.96/1.31  #Partial instantiations: 0
% 1.96/1.31  #Strategies tried      : 1
% 1.96/1.31  
% 1.96/1.31  Timing (in seconds)
% 1.96/1.31  ----------------------
% 1.96/1.31  Preprocessing        : 0.41
% 1.96/1.31  Parsing              : 0.24
% 1.96/1.31  CNF conversion       : 0.01
% 1.96/1.31  Main loop            : 0.02
% 1.96/1.31  Inferencing          : 0.00
% 1.96/1.31  Reduction            : 0.00
% 1.96/1.31  Demodulation         : 0.00
% 1.96/1.31  BG Simplification    : 0.00
% 1.96/1.31  Subsumption          : 0.02
% 1.96/1.31  Abstraction          : 0.00
% 1.96/1.31  MUC search           : 0.00
% 1.96/1.31  Cooper               : 0.03
% 1.96/1.31  Total                : 0.48
% 1.96/1.31  Index Insertion      : 0.00
% 1.96/1.31  Index Deletion       : 0.00
% 1.96/1.31  Index Matching       : 0.00
% 1.96/1.31  BG Taut test         : 0.00
%------------------------------------------------------------------------------