TSTP Solution File: ARI178_1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : ARI178_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/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s

% Computer : n014.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 10:33:19 EDT 2023

% Result   : Theorem 2.20s 1.52s
% Output   : CNFRefutation 2.20s
% 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 :    9 (   2   ~;   0   |;   5   &)
%                                         (   1 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number arithmetic     :   45 (   0 atm;  18 fun;  15 num;  12 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    :    5 (   0 usr;   3 con; 0-2 aty)
%            Number of variables   :   12 (;   6   !;   6   ?;  12   :)

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

%Foreground sorts:

%Background operators:

%Foreground operators:

tff(f_36,negated_conjecture,
    ~ ! [Ua: $int,Va: $int,Wa: $int] :
        ( ( ( $sum($sum($product(2,Ua),Va),Wa) = 10 )
          & ( $sum($sum(Ua,$product(2,Va)),Wa) = 10 ) )
       => ( Wa != 0 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

tff(f_167,plain,
    ? [Ua: $int,Va: $int,Wa: $int] :
      ( ( $sum($sum(Va,$product(2,Ua)),Wa) = 10 )
      & ( $sum($sum($product(2,Va),Ua),Wa) = 10 )
      & ( Wa = 0 ) ),
    inference(cnfTransformation,[status(thm)],[f_36]) ).

tff(f_170,plain,
    ! [Ua: $int,Va: $int,Wa: $int] :
      ( ? [Ua: $int,Va: $int,Wa: $int] :
          ( ( $sum($sum(Va,$product(2,Ua)),Wa) = 10 )
          & ( $sum($sum($product(2,Va),Ua),Wa) = 10 )
          & ( Wa = 0 ) )
    <=> $false ),
    inference(theorem,[status(thm),theory('LIA')],]) ).

tff(f_171,plain,
    $false,
    inference(equivalence,[status(thm)],[f_167,f_170]) ).

tff(c_2,plain,
    $false,
    inference(cnfTransformation,[status(thm)],[f_171]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : ARI178_1 : TPTP v8.1.2. Released v5.0.0.
% 0.00/0.13  % Command  : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.13/0.34  % Computer : n014.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 : Fri Aug  4 00:07:03 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 2.20/1.52  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.20/1.53  
% 2.20/1.53  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.20/1.57  
% 2.20/1.57  Inference rules
% 2.20/1.57  ----------------------
% 2.20/1.57  #Ref     : 0
% 2.20/1.57  #Sup     : 0
% 2.20/1.57  #Fact    : 0
% 2.20/1.57  #Define  : 0
% 2.20/1.57  #Split   : 0
% 2.20/1.57  #Chain   : 0
% 2.20/1.57  #Close   : 0
% 2.20/1.57  
% 2.20/1.57  Ordering : LPO
% 2.20/1.57  
% 2.20/1.57  Simplification rules
% 2.20/1.57  ----------------------
% 2.20/1.57  #Subsume      : 0
% 2.20/1.57  #Demod        : 0
% 2.20/1.57  #Tautology    : 0
% 2.20/1.57  #SimpNegUnit  : 0
% 2.20/1.57  #BackRed      : 0
% 2.20/1.57  
% 2.20/1.57  #Partial instantiations: 0
% 2.20/1.57  #Strategies tried      : 1
% 2.20/1.57  
% 2.20/1.57  Timing (in seconds)
% 2.20/1.57  ----------------------
% 2.20/1.57  Preprocessing        : 0.47
% 2.20/1.57  Parsing              : 0.26
% 2.20/1.57  CNF conversion       : 0.02
% 2.20/1.57  Main loop            : 0.03
% 2.20/1.57  Inferencing          : 0.00
% 2.20/1.57  Reduction            : 0.00
% 2.20/1.57  Demodulation         : 0.00
% 2.20/1.57  BG Simplification    : 0.00
% 2.20/1.57  Subsumption          : 0.02
% 2.20/1.57  Abstraction          : 0.00
% 2.20/1.57  MUC search           : 0.00
% 2.20/1.57  Cooper               : 0.04
% 2.20/1.57  Total                : 0.55
% 2.20/1.57  Index Insertion      : 0.00
% 2.20/1.57  Index Deletion       : 0.00
% 2.20/1.57  Index Matching       : 0.00
% 2.20/1.57  BG Taut test         : 0.00
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