TSTP Solution File: NUM893_1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : NUM893_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 : n005.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 10:53:01 EDT 2023

% Result   : Theorem 2.34s 1.51s
% Output   : CNFRefutation 2.34s
% 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       :   18 (  15 equ)
%            Maximal formula atoms :    7 (   3 avg)
%            Number of connectives :   20 (   7   ~;   4   |;   7   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   6 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number arithmetic     :   27 (   0 atm;  15 fun;   0 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    :    2 (   0 usr;   0 con; 2-2 aty)
%            Number of variables   :   12 (;   9   !;   3   ?;  12   :)

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

%Foreground sorts:

%Background operators:

%Foreground operators:

tff(f_34,negated_conjecture,
    ~ ? [Xa: $int,Ya: $int,Za: $int] :
        ( ( $sum(Xa,Ya) = Za )
      <=> ( ( $difference(Za,Ya) = Xa )
          & ( $difference(Za,Xa) = Ya ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_same_as_difference) ).

tff(f_394,plain,
    ! [Xa: $int,Ya: $int,Za: $int] :
      ( ( ( $sum(Xa,Ya) = Za )
        & ( ( $difference(Za,Ya) != Xa )
          | ( $difference(Za,Xa) != Ya ) ) )
      | ( ( $difference(Za,Ya) = Xa )
        & ( $difference(Za,Xa) = Ya )
        & ( $sum(Xa,Ya) != Za ) ) ),
    inference(cnfTransformation,[status(thm)],[f_34]) ).

tff(f_397,plain,
    ! [Xa: $int,Ya: $int,Za: $int] :
      ( ! [Xa: $int,Ya: $int,Za: $int] :
          ( ( ( $sum(Xa,Ya) = Za )
            & ( ( $difference(Za,Ya) != Xa )
              | ( $difference(Za,Xa) != Ya ) ) )
          | ( ( $difference(Za,Ya) = Xa )
            & ( $difference(Za,Xa) = Ya )
            & ( $sum(Xa,Ya) != Za ) ) )
    <=> $false ),
    inference(theorem,[status(thm),theory('LIA')],]) ).

tff(f_398,plain,
    $false,
    inference(equivalence,[status(thm)],[f_394,f_397]) ).

tff(c_2,plain,
    $false,
    inference(cnfTransformation,[status(thm)],[f_398]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14  % Problem  : NUM893_1 : TPTP v8.1.2. Released v5.0.0.
% 0.14/0.14  % 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
% 0.15/0.36  % Computer : n005.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 300
% 0.15/0.36  % DateTime : Thu Aug  3 15:06:26 EDT 2023
% 0.15/0.36  % CPUTime  : 
% 2.34/1.51  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.34/1.52  
% 2.34/1.52  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.34/1.55  
% 2.34/1.55  Inference rules
% 2.34/1.55  ----------------------
% 2.34/1.55  #Ref     : 0
% 2.34/1.55  #Sup     : 0
% 2.34/1.55  #Fact    : 0
% 2.34/1.55  #Define  : 0
% 2.34/1.55  #Split   : 0
% 2.34/1.55  #Chain   : 0
% 2.34/1.55  #Close   : 0
% 2.34/1.55  
% 2.34/1.55  Ordering : LPO
% 2.34/1.55  
% 2.34/1.55  Simplification rules
% 2.34/1.55  ----------------------
% 2.34/1.55  #Subsume      : 0
% 2.34/1.55  #Demod        : 0
% 2.34/1.55  #Tautology    : 0
% 2.34/1.55  #SimpNegUnit  : 0
% 2.34/1.55  #BackRed      : 0
% 2.34/1.55  
% 2.34/1.55  #Partial instantiations: 0
% 2.34/1.55  #Strategies tried      : 1
% 2.34/1.55  
% 2.34/1.55  Timing (in seconds)
% 2.34/1.55  ----------------------
% 2.34/1.56  Preprocessing        : 0.44
% 2.34/1.56  Parsing              : 0.25
% 2.34/1.56  CNF conversion       : 0.02
% 2.34/1.56  Main loop            : 0.02
% 2.34/1.56  Inferencing          : 0.00
% 2.34/1.56  Reduction            : 0.00
% 2.34/1.56  Demodulation         : 0.00
% 2.34/1.56  BG Simplification    : 0.00
% 2.34/1.56  Subsumption          : 0.02
% 2.34/1.56  Abstraction          : 0.00
% 2.34/1.56  MUC search           : 0.00
% 2.34/1.56  Cooper               : 0.04
% 2.34/1.56  Total                : 0.52
% 2.34/1.56  Index Insertion      : 0.00
% 2.34/1.56  Index Deletion       : 0.00
% 2.34/1.56  Index Matching       : 0.00
% 2.34/1.56  BG Taut test         : 0.00
%------------------------------------------------------------------------------