TSTP Solution File: NUM892_1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : NUM892_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 : n018.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 1.83s 1.52s
% Output   : CNFRefutation 2.54s
% 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 (   5 equ)
%            Maximal formula atoms :    7 (   3 avg)
%            Number of connectives :   20 (   7   ~;   5   |;   6   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number arithmetic     :   18 (  10 atm;   0 fun;   0 num;   8 var)
%            Number of types       :    1 (   0 usr;   1 ari)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    4 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :    8 (;   4   !;   4   ?;   8   :)

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

%Foreground sorts:

%Background operators:

%Foreground operators:

tff(f_34,negated_conjecture,
    ~ ! [Xa: $int,Ya: $int] :
        ( $lesseq(Xa,Ya)
      <=> ( $less(Xa,Ya)
          | ( Xa = Ya ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_lesseq) ).

tff(f_332,plain,
    ? [Xa: $int,Ya: $int] :
      ( ( $lesseq(Xa,Ya)
        & ~ $less(Xa,Ya)
        & ( Xa != Ya ) )
      | ( ( $less(Xa,Ya)
          | ( Xa = Ya ) )
        & ~ $lesseq(Xa,Ya) ) ),
    inference(cnfTransformation,[status(thm)],[f_34]) ).

tff(f_335,plain,
    ! [Xa: $int,Ya: $int] :
      ( ? [Xa: $int,Ya: $int] :
          ( ( $lesseq(Xa,Ya)
            & ~ $less(Xa,Ya)
            & ( Xa != Ya ) )
          | ( ( $less(Xa,Ya)
              | ( Xa = Ya ) )
            & ~ $lesseq(Xa,Ya) ) )
    <=> $false ),
    inference(theorem,[status(thm),theory('LIA')],]) ).

tff(f_336,plain,
    $false,
    inference(equivalence,[status(thm)],[f_332,f_335]) ).

tff(c_2,plain,
    $false,
    inference(cnfTransformation,[status(thm)],[f_336]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14  % Problem  : NUM892_1 : TPTP v8.1.2. Released v5.0.0.
% 0.13/0.15  % 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
% 0.15/0.36  % Computer : n018.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 15:11:50 EDT 2023
% 0.15/0.36  % CPUTime  : 
% 1.83/1.52  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.83/1.52  
% 1.83/1.52  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.54/1.56  
% 2.54/1.56  Inference rules
% 2.54/1.56  ----------------------
% 2.54/1.56  #Ref     : 0
% 2.54/1.56  #Sup     : 0
% 2.54/1.56  #Fact    : 0
% 2.54/1.56  #Define  : 0
% 2.54/1.56  #Split   : 0
% 2.54/1.56  #Chain   : 0
% 2.54/1.56  #Close   : 0
% 2.54/1.56  
% 2.54/1.56  Ordering : LPO
% 2.54/1.56  
% 2.54/1.56  Simplification rules
% 2.54/1.56  ----------------------
% 2.54/1.56  #Subsume      : 0
% 2.54/1.56  #Demod        : 0
% 2.54/1.56  #Tautology    : 0
% 2.54/1.56  #SimpNegUnit  : 0
% 2.54/1.56  #BackRed      : 0
% 2.54/1.56  
% 2.54/1.56  #Partial instantiations: 0
% 2.54/1.56  #Strategies tried      : 1
% 2.54/1.56  
% 2.54/1.56  Timing (in seconds)
% 2.54/1.56  ----------------------
% 2.54/1.56  Preprocessing        : 0.44
% 2.54/1.56  Parsing              : 0.24
% 2.54/1.56  CNF conversion       : 0.02
% 2.54/1.56  Main loop            : 0.03
% 2.54/1.56  Inferencing          : 0.00
% 2.54/1.56  Reduction            : 0.00
% 2.54/1.56  Demodulation         : 0.00
% 2.54/1.56  BG Simplification    : 0.00
% 2.54/1.56  Subsumption          : 0.02
% 2.54/1.56  Abstraction          : 0.00
% 2.54/1.56  MUC search           : 0.00
% 2.54/1.57  Cooper               : 0.06
% 2.54/1.57  Total                : 0.52
% 2.54/1.57  Index Insertion      : 0.00
% 2.54/1.57  Index Deletion       : 0.00
% 2.54/1.57  Index Matching       : 0.00
% 2.54/1.57  BG Taut test         : 0.00
%------------------------------------------------------------------------------