TSTP Solution File: DAT059_1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : DAT059_1 : TPTP v8.1.2. Released v5.5.0.
% 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 : n017.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 10:37:04 EDT 2023

% Result   : Theorem 2.40s 1.58s
% Output   : CNFRefutation 2.40s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   16 (   5 unt;  11 typ;   0 def)
%            Number of atoms       :    5 (   4 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number arithmetic     :    3 (   0 atm;   0 fun;   0 num;   3 var)
%            Number of types       :    3 (   2 usr;   1 ari)
%            Number of type conns  :    7 (   3   >;   4   *;   0   +;   0  <<)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   6 con; 0-3 aty)
%            Number of variables   :   12 (;  12   !;   0   ?;  12   :)

% Comments : 
%------------------------------------------------------------------------------
%$ put > get > #nlpp > none > mkarray > #skF_3 > #skF_2 > #skF_5 > #skF_1

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

tff(array,type,
    array: $tType ).

%Background operators:
tff('#skF_4',type,
    '#skF_4': $int ).

%Foreground operators:
tff('#skF_3',type,
    '#skF_3': array ).

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

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

tff('#skF_5',type,
    '#skF_5': data ).

tff('#skF_1',type,
    '#skF_1': ( array * array ) > $int ).

tff(mkarray,type,
    mkarray: array ).

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

tff(none,type,
    none: data ).

tff(f_67,axiom,
    ! [D2: data,Ar: array,Ma: $int,D1: data] : ( put(put(Ar,Ma,D2),Ma,D1) = put(Ar,Ma,D1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/DAT004_0.ax',ax_20) ).

tff(f_77,negated_conjecture,
    ~ ! [D1: data,Ar: array,Ma: $int,D2: data] : ( put(put(Ar,Ma,D1),Ma,D2) = put(Ar,Ma,D2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',th_lem_5) ).

tff(c_20,plain,
    ! [Ar_10: array,M_11a: $int,D2_9: data,D1_12: data] : ( put(put(Ar_10,M_11a,D2_9),M_11a,D1_12) = put(Ar_10,M_11a,D1_12) ),
    inference(cnfTransformation,[status(thm)],[f_67]) ).

tff(c_18,plain,
    put(put('#skF_3','#skF_4','#skF_2'),'#skF_4','#skF_5') != put('#skF_3','#skF_4','#skF_5'),
    inference(cnfTransformation,[status(thm)],[f_77]) ).

tff(c_27,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_20,c_18]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : DAT059_1 : TPTP v8.1.2. Released v5.5.0.
% 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
% 0.14/0.35  % Computer : n017.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 12:41:21 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 2.40/1.58  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.40/1.58  
% 2.40/1.58  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.40/1.60  
% 2.40/1.60  Inference rules
% 2.40/1.60  ----------------------
% 2.40/1.60  #Ref     : 0
% 2.40/1.60  #Sup     : 0
% 2.40/1.60  #Fact    : 0
% 2.40/1.60  #Define  : 0
% 2.40/1.60  #Split   : 0
% 2.40/1.60  #Chain   : 0
% 2.40/1.60  #Close   : 0
% 2.40/1.60  
% 2.40/1.60  Ordering : LPO
% 2.40/1.60  
% 2.40/1.60  Simplification rules
% 2.40/1.60  ----------------------
% 2.40/1.60  #Subsume      : 5
% 2.40/1.60  #Demod        : 1
% 2.40/1.60  #Tautology    : 1
% 2.40/1.60  #SimpNegUnit  : 0
% 2.40/1.60  #BackRed      : 0
% 2.40/1.60  
% 2.40/1.60  #Partial instantiations: 0
% 2.40/1.60  #Strategies tried      : 1
% 2.40/1.60  
% 2.40/1.60  Timing (in seconds)
% 2.40/1.60  ----------------------
% 2.40/1.60  Preprocessing        : 0.50
% 2.40/1.60  Parsing              : 0.26
% 2.40/1.60  CNF conversion       : 0.02
% 2.40/1.60  Main loop            : 0.04
% 2.40/1.60  Inferencing          : 0.00
% 2.40/1.60  Reduction            : 0.02
% 2.40/1.60  Demodulation         : 0.02
% 2.40/1.60  BG Simplification    : 0.02
% 2.40/1.60  Subsumption          : 0.02
% 2.40/1.61  Abstraction          : 0.01
% 2.40/1.61  MUC search           : 0.00
% 2.40/1.61  Cooper               : 0.00
% 2.40/1.61  Total                : 0.58
% 2.40/1.61  Index Insertion      : 0.00
% 2.40/1.61  Index Deletion       : 0.00
% 2.40/1.61  Index Matching       : 0.00
% 2.40/1.61  BG Taut test         : 0.00
%------------------------------------------------------------------------------