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Beagle---0.9.52.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Beagle---0.9.52
% Problem  : DAT003_1 : TPTP v9.0.0. 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 : n016.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 : Wed Apr  9 06:07:53 PM UTC 2025

% Result   : Theorem 3.39s 2.32s
% Output   : CNFRefutation 3.39s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   17 (   8 unt;   0 typ;   0 def)
%            Number of atoms       :   34 (  33 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   20 (   3   ~;  16   |;   0   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number arithmetic     :   75 (   0 atm;   0 fun;  62 num;  13 var)
%            Number of types       :    2 (   1 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    :   12 (   5 usr;  10 con; 0-3 aty)
%            Number of variables   :   19 (  19   !;   0   ?;  19   :)

% Comments : 
%------------------------------------------------------------------------------
%$ write > read > #nlpp > #skF_1 > #skF_2

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

%Background operators:
tff('#skE_1',type,
    '#skE_1': $int ).

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

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

tff('#skF_2',type,
    '#skF_2': array ).

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

tff(f_70,negated_conjecture,
    ~ ! [U: array,V: array] :
        ( ( U = write(write(write(write(V,3,33),4,444),5,55),4,44) )
       => ( read(U,3) = 33 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

tff(f_63,axiom,
    ! [X: array,Ya: $int,Za: $int,X1a: $int] :
      ( ( Ya = Za )
      | ( read(write(X,Ya,X1a),Za) = read(X,Za) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/DAT001_0.ax',ax2) ).

tff(f_59,axiom,
    ! [U: array,Va: $int,Wa: $int] : ( read(write(U,Va,Wa),Va) = Wa ),
    file('/export/starexec/sandbox2/benchmark/Axioms/DAT001_0.ax',ax1) ).

tff(c_9,plain,
    read('#skF_1',3) != 33,
    inference(cnfTransformation,[status(thm)],[f_70]) ).

tff(c_12,plain,
    read('#skF_1',3) = '#skE_1',
    inference(define,[status(thm),theory(equality)],[c_9]) ).

tff(c_16,plain,
    '#skE_1' != 33,
    inference(demodulation,[status(thm),theory(equality)],[c_12,c_9]) ).

tff(c_15,plain,
    read('#skF_1',3) = '#skE_1',
    inference(define,[status(thm),theory(equality)],[c_9]) ).

tff(c_10,plain,
    ! [X_4: array,Y_5a: $int,X1_7a: $int,Z_6a: $int] :
      ( ( read(write(X_4,Y_5a,X1_7a),Z_6a) = read(X_4,Z_6a) )
      | ( Z_6a = Y_5a ) ),
    inference(cnfTransformation,[status(thm)],[f_63]) ).

tff(c_8,plain,
    write(write(write(write('#skF_2',3,33),4,444),5,55),4,44) = '#skF_1',
    inference(cnfTransformation,[status(thm)],[f_70]) ).

tff(c_74,plain,
    ! [Z_15a: $int] :
      ( ( read(write(write(write('#skF_2',3,33),4,444),5,55),Z_15a) = read('#skF_1',Z_15a) )
      | ( Z_15a = 4 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_8,c_10]) ).

tff(c_112,plain,
    ! [Z_16a: $int] :
      ( ( read(write(write('#skF_2',3,33),4,444),Z_16a) = read('#skF_1',Z_16a) )
      | ( Z_16a = 4 )
      | ( Z_16a = 5 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_10,c_74]) ).

tff(c_147,plain,
    ! [Z_17a: $int] :
      ( ( read(write('#skF_2',3,33),Z_17a) = read('#skF_1',Z_17a) )
      | ( Z_17a = 4 )
      | ( Z_17a = 5 )
      | ( Z_17a = 4 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_10,c_112]) ).

tff(c_11,plain,
    ! [U_1: array,V_2a: $int,W_3a: $int] : ( read(write(U_1,V_2a,W_3a),V_2a) = W_3a ),
    inference(cnfTransformation,[status(thm)],[f_59]) ).

tff(c_157,plain,
    ( ( read('#skF_1',3) = 33 )
    | ( 4 = 3 )
    | ( 5 = 3 )
    | ( 4 = 3 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_147,c_11]) ).

tff(c_172,plain,
    ( ( '#skE_1' = 33 )
    | ( 4 = 3 )
    | ( 5 = 3 )
    | ( 4 = 3 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_15,c_157]) ).

tff(c_173,plain,
    ( ( 4 = 3 )
    | ( 5 = 3 )
    | ( 4 = 3 ) ),
    inference(negUnitSimplification,[status(thm)],[c_16,c_172]) ).

tff(c_176,plain,
    $false,
    inference(backgroundSimplification,[status(thm),theory('LIA')],[c_173]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem  : DAT003_1 : TPTP v9.0.0. Released v5.0.0.
% 0.00/0.09  % 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
% 0.09/0.29  % Computer : n016.cluster.edu
% 0.09/0.29  % Model    : x86_64 x86_64
% 0.09/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29  % Memory   : 8042.1875MB
% 0.09/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29  % CPULimit : 300
% 0.09/0.29  % WCLimit  : 300
% 0.09/0.29  % DateTime : Mon Apr  7 18:14:53 EDT 2025
% 0.09/0.29  % CPUTime  : 
% 3.39/2.32  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.39/2.33  
% 3.39/2.33  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------