TSTP Solution File: DAT004_1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : DAT004_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/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 : n011.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 10:36:56 EDT 2023

% Result   : Theorem 3.12s 1.82s
% Output   : CNFRefutation 3.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   29 (  13 unt;   8 typ;   0 def)
%            Number of atoms       :   33 (  32 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   19 (   7   ~;  11   |;   0   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number arithmetic     :   65 (   0 atm;   0 fun;  52 num;  13 var)
%            Number of types       :    2 (   1 usr;   1 ari)
%            Number of type conns  :    5 (   2   >;   3   *;   0   +;   0  <<)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   14 (   7 usr;  12 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_2',type,
    '#skE_2': $int ).

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

tff('#skF_3',type,
    '#skF_3': $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_72,negated_conjecture,
    ~ ! [U: array,V: array,Wa: $int] :
        ( ( U = write(write(write(write(V,3,33),4,44),5,55),Wa,66) )
       => ( ( read(U,4) = 44 )
          | ( read(U,4) = 66 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

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

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/sandbox/benchmark/Axioms/DAT001_0.ax',ax2) ).

tff(c_14,plain,
    read('#skF_1',4) != 44,
    inference(cnfTransformation,[status(thm)],[f_72]) ).

tff(c_23,plain,
    read('#skF_1',4) = '#skE_1',
    inference(define,[status(thm),theory(equality)],[c_14]) ).

tff(c_15,plain,
    read('#skF_1',4) != 66,
    inference(cnfTransformation,[status(thm)],[f_72]) ).

tff(c_32,plain,
    '#skE_1' != 66,
    inference(demodulation,[status(thm),theory(equality)],[c_23,c_15]) ).

tff(c_66,plain,
    write(write(write(write('#skF_2',3,33),4,44),5,55),'#skF_3',66) = '#skF_1',
    inference(cnfTransformation,[status(thm)],[f_72]) ).

tff(c_17,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_92,plain,
    read('#skF_1','#skF_3') = 66,
    inference(superposition,[status(thm),theory(equality)],[c_66,c_17]) ).

tff(c_98,plain,
    ( ( '#skE_1' = 66 )
    | ( '#skF_3' != 4 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_92,c_23]) ).

tff(c_109,plain,
    '#skF_3' != 4,
    inference(negUnitSimplification,[status(thm)],[c_32,c_98]) ).

tff(c_20,plain,
    read('#skF_1',4) = '#skE_1',
    inference(define,[status(thm),theory(equality)],[c_14]) ).

tff(c_24,plain,
    '#skE_1' != 44,
    inference(demodulation,[status(thm),theory(equality)],[c_20,c_14]) ).

tff(c_16,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_115,plain,
    ! [Z_20a: $int] :
      ( ( read(write(write(write('#skF_2',3,33),4,44),5,55),Z_20a) = read('#skF_1',Z_20a) )
      | ( Z_20a = '#skF_3' ) ),
    inference(superposition,[status(thm),theory(equality)],[c_66,c_16]) ).

tff(c_185,plain,
    ! [Z_21a: $int] :
      ( ( read(write(write('#skF_2',3,33),4,44),Z_21a) = read('#skF_1',Z_21a) )
      | ( Z_21a = '#skF_3' )
      | ( Z_21a = 5 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_16,c_115]) ).

tff(c_195,plain,
    ( ( read('#skF_1',4) = 44 )
    | ( '#skF_3' = 4 )
    | ( 5 = 4 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_185,c_17]) ).

tff(c_210,plain,
    ( ( '#skE_1' = 44 )
    | ( '#skF_3' = 4 )
    | ( 5 = 4 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_23,c_195]) ).

tff(c_211,plain,
    5 = 4,
    inference(negUnitSimplification,[status(thm)],[c_109,c_24,c_210]) ).

tff(c_214,plain,
    $false,
    inference(backgroundSimplification,[status(thm),theory('LIA')],[c_211]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14  % Problem  : DAT004_1 : TPTP v8.1.2. Released v5.0.0.
% 0.00/0.15  % 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
% 0.15/0.37  % Computer : n011.cluster.edu
% 0.15/0.37  % Model    : x86_64 x86_64
% 0.15/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37  % Memory   : 8042.1875MB
% 0.15/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37  % CPULimit : 300
% 0.15/0.37  % WCLimit  : 300
% 0.15/0.37  % DateTime : Thu Aug  3 13:13:35 EDT 2023
% 0.15/0.37  % CPUTime  : 
% 3.12/1.82  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.12/1.82  
% 3.12/1.82  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.12/1.84  
% 3.12/1.84  Inference rules
% 3.12/1.84  ----------------------
% 3.12/1.84  #Ref     : 0
% 3.12/1.85  #Sup     : 36
% 3.12/1.85  #Fact    : 0
% 3.12/1.85  #Define  : 2
% 3.12/1.85  #Split   : 1
% 3.12/1.85  #Chain   : 0
% 3.12/1.85  #Close   : 0
% 3.12/1.85  
% 3.12/1.85  Ordering : LPO
% 3.12/1.85  
% 3.12/1.85  Simplification rules
% 3.12/1.85  ----------------------
% 3.12/1.85  #Subsume      : 4
% 3.12/1.85  #Demod        : 6
% 3.12/1.85  #Tautology    : 20
% 3.12/1.85  #SimpNegUnit  : 5
% 3.12/1.85  #BackRed      : 1
% 3.12/1.85  
% 3.12/1.85  #Partial instantiations: 0
% 3.12/1.85  #Strategies tried      : 1
% 3.12/1.85  
% 3.12/1.85  Timing (in seconds)
% 3.12/1.85  ----------------------
% 3.12/1.85  Preprocessing        : 0.52
% 3.12/1.85  Parsing              : 0.26
% 3.12/1.85  CNF conversion       : 0.02
% 3.12/1.85  Main loop            : 0.24
% 3.12/1.85  Inferencing          : 0.08
% 3.12/1.85  Reduction            : 0.05
% 3.12/1.85  Demodulation         : 0.04
% 3.12/1.85  BG Simplification    : 0.04
% 3.12/1.85  Subsumption          : 0.04
% 3.12/1.85  Abstraction          : 0.01
% 3.12/1.85  MUC search           : 0.00
% 3.12/1.85  Cooper               : 0.02
% 3.12/1.85  Total                : 0.80
% 3.12/1.85  Index Insertion      : 0.00
% 3.12/1.85  Index Deletion       : 0.00
% 3.12/1.85  Index Matching       : 0.00
% 3.12/1.85  BG Taut test         : 0.00
%------------------------------------------------------------------------------