TSTP Solution File: ARI592_1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : ARI592_1 : TPTP v8.1.2. Released v5.1.0.
% 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 : n026.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 10:34:04 EDT 2023

% Result   : Theorem 2.09s 1.49s
% Output   : CNFRefutation 2.09s
% 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       :   15 (   3 equ)
%            Maximal formula atoms :    5 (   3 avg)
%            Number of connectives :   16 (   6   ~;   4   |;   4   &)
%                                         (   1 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   7 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number arithmetic     :   29 (   9 atm;   0 fun;   6 num;  14 var)
%            Number of types       :    1 (   0 usr;   1 ari)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    3 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   0 usr;   2 con; 0-0 aty)
%            Number of variables   :   14 (;   9   !;   5   ?;  14   :)

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

%Foreground sorts:

%Background operators:

%Foreground operators:

tff(f_38,negated_conjecture,
    ~ ! [Ya: $int,Za: $int] :
        ( $less(2,Za)
       => ? [Xa: $int] :
            ( $less(0,Xa)
            & $less(Xa,Za)
            & ( Ya != Xa ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exists_X_0_Z_noteq_Y) ).

tff(f_502,plain,
    ! [Xa: $int] :
    ? [Ya: $int,Za: $int] :
      ( $less(2,Za)
      & ! [Xa: $int] :
          ( ~ $less(0,Xa)
          | ~ $less(Xa,Za)
          | ( Ya = Xa ) ) ),
    inference(cnfTransformation,[status(thm)],[f_38]) ).

tff(f_505,plain,
    ! [Xa: $int,Ya: $int,Za: $int] :
      ( ! [Xa: $int] :
        ? [Ya: $int,Za: $int] :
          ( $less(2,Za)
          & ! [Xa: $int] :
              ( ~ $less(0,Xa)
              | ~ $less(Xa,Za)
              | ( Ya = Xa ) ) )
    <=> $false ),
    inference(theorem,[status(thm),theory('LIA')],]) ).

tff(f_506,plain,
    $false,
    inference(equivalence,[status(thm)],[f_502,f_505]) ).

tff(c_2,plain,
    $false,
    inference(cnfTransformation,[status(thm)],[f_506]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : ARI592_1 : TPTP v8.1.2. Released v5.1.0.
% 0.00/0.14  % 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
% 0.13/0.35  % Computer : n026.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Fri Aug  4 00:25:32 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 2.09/1.49  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.09/1.49  
% 2.09/1.49  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.09/1.53  
% 2.09/1.53  Inference rules
% 2.09/1.53  ----------------------
% 2.09/1.53  #Ref     : 0
% 2.09/1.53  #Sup     : 0
% 2.09/1.53  #Fact    : 0
% 2.09/1.53  #Define  : 0
% 2.09/1.53  #Split   : 0
% 2.09/1.53  #Chain   : 0
% 2.09/1.53  #Close   : 0
% 2.09/1.53  
% 2.09/1.53  Ordering : LPO
% 2.09/1.53  
% 2.09/1.53  Simplification rules
% 2.09/1.53  ----------------------
% 2.09/1.53  #Subsume      : 0
% 2.09/1.53  #Demod        : 0
% 2.09/1.53  #Tautology    : 0
% 2.09/1.53  #SimpNegUnit  : 0
% 2.09/1.53  #BackRed      : 0
% 2.09/1.53  
% 2.09/1.53  #Partial instantiations: 0
% 2.09/1.53  #Strategies tried      : 1
% 2.09/1.53  
% 2.09/1.53  Timing (in seconds)
% 2.09/1.53  ----------------------
% 2.09/1.53  Preprocessing        : 0.42
% 2.09/1.53  Parsing              : 0.23
% 2.09/1.53  CNF conversion       : 0.01
% 2.09/1.53  Main loop            : 0.03
% 2.09/1.53  Inferencing          : 0.00
% 2.09/1.53  Reduction            : 0.00
% 2.09/1.53  Demodulation         : 0.00
% 2.09/1.53  BG Simplification    : 0.00
% 2.09/1.53  Subsumption          : 0.02
% 2.09/1.53  Abstraction          : 0.00
% 2.09/1.53  MUC search           : 0.00
% 2.09/1.53  Cooper               : 0.06
% 2.09/1.53  Total                : 0.50
% 2.09/1.53  Index Insertion      : 0.00
% 2.09/1.53  Index Deletion       : 0.00
% 2.09/1.53  Index Matching       : 0.00
% 2.09/1.53  BG Taut test         : 0.00
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