TSTP Solution File: DAT016_1 by Beagle---0.9.51

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%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : DAT016_1 : TPTP v8.1.2. Bugfixed 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 : n023.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 10:36:58 EDT 2023

% Result   : Theorem 2.74s 1.64s
% Output   : CNFRefutation 2.82s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   11 (   2 unt;   4 typ;   0 def)
%            Number of atoms       :   17 (   6 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   15 (   5   ~;   7   |;   1   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number arithmetic     :   47 (  10 atm;   8 fun;  23 num;   6 var)
%            Number of types       :    2 (   1 usr;   1 ari)
%            Number of type conns  :    5 (   2   >;   3   *;   0   +;   0  <<)
%            Number of predicates  :    4 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (   3 usr;   7 con; 0-3 aty)
%            Number of variables   :    7 (;   6   !;   1   ?;   7   :)

% Comments : 
%------------------------------------------------------------------------------
%$ write > read > #nlpp > #skF_1

%Foreground sorts:
tff(array,type,
    array: $tType ).

%Background operators:

%Foreground operators:
tff(write,type,
    write: ( array * $int * $int ) > array ).

tff('#skF_1',type,
    '#skF_1': array ).

tff(read,type,
    read: ( array * $int ) > $int ).

tff(f_77,negated_conjecture,
    ~ ! [U: array] :
        ( ! [Va: $int] :
            ( ( $lesseq(20,Va)
              & $lesseq(Va,30) )
           => ( read(U,Va) = $sum($product(2,Va),3) ) )
       => ? [Wa: $int] : ( read(U,Wa) = 53 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

tff(c_6,plain,
    ! [V_10a: $int] :
      ( ( read('#skF_1',V_10a) = $sum($product(2,V_10a),3) )
      | ~ $lesseq(20,V_10a)
      | ~ $lesseq(V_10a,30) ),
    inference(cnfTransformation,[status(thm)],[f_77]) ).

tff(c_46,plain,
    ! [V_20a: $int] :
      ( ( read('#skF_1',V_20a) = $sum(3,$product(2,V_20a)) )
      | $less(V_20a,20)
      | $less(30,V_20a) ),
    inference(backgroundSimplification,[status(thm),theory('LRFIA')],[c_6]) ).

tff(c_9,plain,
    ! [W_11a: $int] : ( read('#skF_1',W_11a) != 53 ),
    inference(cnfTransformation,[status(thm)],[f_77]) ).

tff(c_51,plain,
    ! [V_20a: $int] :
      ( ( $sum(3,$product(2,V_20a)) != 53 )
      | $less(V_20a,20)
      | $less(30,V_20a) ),
    inference(superposition,[status(thm),theory(equality)],[c_46,c_9]) ).

tff(c_58,plain,
    ( $less(25,20)
    | $less(30,25) ),
    inference(backgroundSimplification,[status(thm),theory('LIA')],[c_51]) ).

tff(c_61,plain,
    $false,
    inference(backgroundSimplification,[status(thm),theory('LIA')],[c_58]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : DAT016_1 : TPTP v8.1.2. Bugfixed v5.1.0.
% 0.14/0.14  % 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
% 0.15/0.35  % Computer : n023.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit : 300
% 0.15/0.35  % WCLimit  : 300
% 0.15/0.35  % DateTime : Thu Aug  3 13:28:07 EDT 2023
% 0.15/0.35  % CPUTime  : 
% 2.74/1.64  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.74/1.64  
% 2.74/1.64  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.82/1.67  
% 2.82/1.67  Inference rules
% 2.82/1.67  ----------------------
% 2.82/1.67  #Ref     : 0
% 2.82/1.67  #Sup     : 9
% 2.82/1.67  #Fact    : 0
% 2.82/1.67  #Define  : 0
% 2.82/1.67  #Split   : 0
% 2.82/1.67  #Chain   : 0
% 2.82/1.67  #Close   : 0
% 2.82/1.67  
% 2.82/1.67  Ordering : LPO
% 2.82/1.67  
% 2.82/1.67  Simplification rules
% 2.82/1.67  ----------------------
% 2.82/1.67  #Subsume      : 0
% 2.82/1.67  #Demod        : 0
% 2.82/1.67  #Tautology    : 7
% 2.82/1.67  #SimpNegUnit  : 0
% 2.82/1.67  #BackRed      : 0
% 2.82/1.67  
% 2.82/1.67  #Partial instantiations: 0
% 2.82/1.67  #Strategies tried      : 1
% 2.82/1.67  
% 2.82/1.67  Timing (in seconds)
% 2.82/1.67  ----------------------
% 2.82/1.67  Preprocessing        : 0.48
% 2.82/1.67  Parsing              : 0.26
% 2.82/1.67  CNF conversion       : 0.02
% 2.82/1.67  Main loop            : 0.14
% 2.82/1.67  Inferencing          : 0.06
% 2.82/1.67  Reduction            : 0.03
% 2.82/1.67  Demodulation         : 0.02
% 2.82/1.67  BG Simplification    : 0.03
% 2.82/1.67  Subsumption          : 0.03
% 2.82/1.67  Abstraction          : 0.00
% 2.82/1.67  MUC search           : 0.00
% 2.82/1.67  Cooper               : 0.00
% 2.82/1.67  Total                : 0.66
% 2.82/1.67  Index Insertion      : 0.00
% 2.82/1.67  Index Deletion       : 0.00
% 2.82/1.67  Index Matching       : 0.00
% 2.82/1.67  BG Taut test         : 0.00
%------------------------------------------------------------------------------