TSTP Solution File: DAT015_1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : DAT015_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 10:36:58 EDT 2023

% Result   : Theorem 2.54s 1.60s
% Output   : CNFRefutation 2.75s
% 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    :    2 (   1 avg)
%            Number arithmetic     :   39 (  10 atm;   4 fun;  19 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    :    8 (   3 usr;   5 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_76,negated_conjecture,
    ~ ! [U: array] :
        ( ! [Va: $int] :
            ( ( $lesseq(20,Va)
              & $lesseq(Va,30) )
           => ( read(U,Va) = $sum(Va,25) ) )
       => ? [Wa: $int] : ( read(U,Wa) = 50 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

tff(c_6,plain,
    ! [V_10a: $int] :
      ( ( read('#skF_1',V_10a) = $sum(V_10a,25) )
      | ~ $lesseq(20,V_10a)
      | ~ $lesseq(V_10a,30) ),
    inference(cnfTransformation,[status(thm)],[f_76]) ).

tff(c_46,plain,
    ! [V_20a: $int] :
      ( ( read('#skF_1',V_20a) = $sum(25,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) != 50 ),
    inference(cnfTransformation,[status(thm)],[f_76]) ).

tff(c_51,plain,
    ! [V_20a: $int] :
      ( ( $sum(25,V_20a) != 50 )
      | $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
% 0.00/0.13  % Problem  : DAT015_1 : TPTP v8.1.2. Released v5.0.0.
% 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
% 0.14/0.35  % Computer : n018.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Thu Aug  3 13:21:06 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 2.54/1.60  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.54/1.60  
% 2.54/1.60  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.75/1.62  
% 2.75/1.62  Inference rules
% 2.75/1.62  ----------------------
% 2.75/1.62  #Ref     : 0
% 2.75/1.62  #Sup     : 9
% 2.75/1.62  #Fact    : 0
% 2.75/1.62  #Define  : 0
% 2.75/1.62  #Split   : 0
% 2.75/1.62  #Chain   : 0
% 2.75/1.62  #Close   : 0
% 2.75/1.62  
% 2.75/1.62  Ordering : LPO
% 2.75/1.62  
% 2.75/1.62  Simplification rules
% 2.75/1.62  ----------------------
% 2.75/1.62  #Subsume      : 0
% 2.75/1.62  #Demod        : 0
% 2.75/1.62  #Tautology    : 7
% 2.75/1.62  #SimpNegUnit  : 0
% 2.75/1.62  #BackRed      : 0
% 2.75/1.62  
% 2.75/1.62  #Partial instantiations: 0
% 2.75/1.62  #Strategies tried      : 1
% 2.75/1.62  
% 2.75/1.62  Timing (in seconds)
% 2.75/1.62  ----------------------
% 2.75/1.63  Preprocessing        : 0.45
% 2.75/1.63  Parsing              : 0.25
% 2.75/1.63  CNF conversion       : 0.03
% 2.75/1.63  Main loop            : 0.13
% 2.75/1.63  Inferencing          : 0.06
% 2.75/1.63  Reduction            : 0.02
% 2.75/1.63  Demodulation         : 0.02
% 2.75/1.63  BG Simplification    : 0.03
% 2.75/1.63  Subsumption          : 0.03
% 2.75/1.63  Abstraction          : 0.00
% 2.75/1.63  MUC search           : 0.00
% 2.75/1.63  Cooper               : 0.00
% 2.75/1.63  Total                : 0.62
% 2.75/1.63  Index Insertion      : 0.00
% 2.75/1.63  Index Deletion       : 0.00
% 2.75/1.63  Index Matching       : 0.00
% 2.75/1.63  BG Taut test         : 0.00
%------------------------------------------------------------------------------