TSTP Solution File: ARI585_1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : ARI585_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/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 : n012.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 10:34:03 EDT 2023

% Result   : Theorem 1.95s 1.51s
% Output   : CNFRefutation 2.26s
% 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 (   0 equ)
%            Maximal formula atoms :    5 (   3 avg)
%            Number of connectives :   15 (   5   ~;   2   |;   6   &)
%                                         (   1 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   6 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number arithmetic     :   42 (  12 atm;   9 fun;   9 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    :    4 (   0 usr;   3 con; 0-2 aty)
%            Number of variables   :   12 (;   7   !;   5   ?;  12   :)

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

%Foreground sorts:

%Background operators:

%Foreground operators:

tff(f_38,negated_conjecture,
    ~ ! [Xa: $int] :
      ? [Ya: $int] :
      ! [Za: $int] :
        ( ( $less($sum(Xa,5),Za)
          & $less(Za,$sum(Xa,8)) )
       => ( $less(Ya,Za)
          & $less(Za,$sum(Ya,4)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',interv_4_can_cover_interv_3) ).

tff(f_400,plain,
    ? [Xa: $int] :
    ! [Ya: $int] :
    ? [Za: $int] :
      ( $less($sum(Xa,5),Za)
      & $less(Za,$sum(Xa,8))
      & ( ~ $less(Ya,Za)
        | ~ $less(Za,$sum(Ya,4)) ) ),
    inference(cnfTransformation,[status(thm)],[f_38]) ).

tff(f_403,plain,
    ! [Xa: $int,Ya: $int,Za: $int] :
      ( ? [Xa: $int] :
        ! [Ya: $int] :
        ? [Za: $int] :
          ( $less($sum(Xa,5),Za)
          & $less(Za,$sum(Xa,8))
          & ( ~ $less(Ya,Za)
            | ~ $less(Za,$sum(Ya,4)) ) )
    <=> $false ),
    inference(theorem,[status(thm),theory('LIA')],]) ).

tff(f_404,plain,
    $false,
    inference(equivalence,[status(thm)],[f_400,f_403]) ).

tff(c_2,plain,
    $false,
    inference(cnfTransformation,[status(thm)],[f_404]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : ARI585_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/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
% 0.13/0.35  % Computer : n012.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 00:03:07 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 1.95/1.51  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.95/1.52  
% 1.95/1.52  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.26/1.55  
% 2.26/1.55  Inference rules
% 2.26/1.55  ----------------------
% 2.26/1.55  #Ref     : 0
% 2.26/1.55  #Sup     : 0
% 2.26/1.55  #Fact    : 0
% 2.26/1.55  #Define  : 0
% 2.26/1.55  #Split   : 0
% 2.26/1.55  #Chain   : 0
% 2.26/1.55  #Close   : 0
% 2.26/1.55  
% 2.26/1.55  Ordering : LPO
% 2.26/1.55  
% 2.26/1.55  Simplification rules
% 2.26/1.55  ----------------------
% 2.26/1.55  #Subsume      : 0
% 2.26/1.55  #Demod        : 0
% 2.26/1.55  #Tautology    : 0
% 2.26/1.55  #SimpNegUnit  : 0
% 2.26/1.55  #BackRed      : 0
% 2.26/1.55  
% 2.26/1.55  #Partial instantiations: 0
% 2.26/1.55  #Strategies tried      : 1
% 2.26/1.55  
% 2.26/1.55  Timing (in seconds)
% 2.26/1.55  ----------------------
% 2.26/1.56  Preprocessing        : 0.45
% 2.26/1.56  Parsing              : 0.25
% 2.26/1.56  CNF conversion       : 0.02
% 2.26/1.56  Main loop            : 0.03
% 2.26/1.56  Inferencing          : 0.00
% 2.26/1.56  Reduction            : 0.00
% 2.26/1.56  Demodulation         : 0.00
% 2.26/1.56  BG Simplification    : 0.00
% 2.26/1.56  Subsumption          : 0.02
% 2.26/1.56  Abstraction          : 0.00
% 2.26/1.56  MUC search           : 0.00
% 2.26/1.56  Cooper               : 0.05
% 2.26/1.56  Total                : 0.53
% 2.26/1.56  Index Insertion      : 0.00
% 2.26/1.56  Index Deletion       : 0.00
% 2.26/1.56  Index Matching       : 0.00
% 2.26/1.56  BG Taut test         : 0.00
%------------------------------------------------------------------------------