TSTP Solution File: DAT063_1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : DAT063_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 10:37:05 EDT 2023

% Result   : Theorem 2.85s 1.66s
% Output   : CNFRefutation 2.85s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   13 (   4 unt;   8 typ;   0 def)
%            Number of atoms       :    6 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    4 (   3   ~;   0   |;   0   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number arithmetic     :    1 (   1 atm;   0 fun;   0 num;   0 var)
%            Number of types       :    3 (   1 usr;   1 ari)
%            Number of type conns  :    7 (   5   >;   2   *;   0   +;   0  <<)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   2 con; 0-2 aty)
%            Number of variables   :    3 (;   3   !;   0   ?;   3   :)

% Comments : 
%------------------------------------------------------------------------------
%$ lsls > app > #nlpp > toop > length > get > empty > #skF_1

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

%Background operators:

%Foreground operators:
tff(toop,type,
    toop: heap > $int ).

tff(lsls,type,
    lsls: ( heap * heap ) > $o ).

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

tff(empty,type,
    empty: heap ).

tff(get,type,
    get: heap > heap ).

tff(app,type,
    app: ( heap * $int ) > heap ).

tff(length,type,
    length: heap > $int ).

tff(f_87,axiom,
    ! [H: heap] : ~ lsls(H,empty),
    file('/export/starexec/sandbox/benchmark/Axioms/DAT005_0.ax',ax_26) ).

tff(f_100,negated_conjecture,
    ~ ! [H: heap] :
        ( lsls(H,empty)
       => $less(length(H),length(empty)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',th_lem_1b) ).

tff(c_24,plain,
    ! [H_18: heap] : ~ lsls(H_18,empty),
    inference(cnfTransformation,[status(thm)],[f_87]) ).

tff(c_34,plain,
    lsls('#skF_1',empty),
    inference(cnfTransformation,[status(thm)],[f_100]) ).

tff(c_47,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_24,c_34]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14  % Problem  : DAT063_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
% 0.14/0.36  % Computer : n017.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 300
% 0.14/0.36  % DateTime : Thu Aug  3 12:39:06 EDT 2023
% 0.14/0.36  % CPUTime  : 
% 2.85/1.66  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.85/1.67  
% 2.85/1.67  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.85/1.69  
% 2.85/1.69  Inference rules
% 2.85/1.69  ----------------------
% 2.85/1.69  #Ref     : 0
% 2.85/1.69  #Sup     : 0
% 2.85/1.69  #Fact    : 0
% 2.85/1.69  #Define  : 0
% 2.85/1.69  #Split   : 0
% 2.85/1.69  #Chain   : 0
% 2.85/1.69  #Close   : 0
% 2.85/1.69  
% 2.85/1.69  Ordering : LPO
% 2.85/1.69  
% 2.85/1.69  Simplification rules
% 2.85/1.69  ----------------------
% 2.85/1.69  #Subsume      : 15
% 2.85/1.69  #Demod        : 0
% 2.85/1.69  #Tautology    : 1
% 2.85/1.69  #SimpNegUnit  : 1
% 2.85/1.69  #BackRed      : 0
% 2.85/1.69  
% 2.85/1.69  #Partial instantiations: 0
% 2.85/1.69  #Strategies tried      : 1
% 2.85/1.69  
% 2.85/1.69  Timing (in seconds)
% 2.85/1.69  ----------------------
% 2.85/1.69  Preprocessing        : 0.58
% 2.85/1.69  Parsing              : 0.31
% 2.85/1.69  CNF conversion       : 0.03
% 2.85/1.69  Main loop            : 0.05
% 2.85/1.69  Inferencing          : 0.00
% 2.85/1.69  Reduction            : 0.02
% 2.85/1.69  Demodulation         : 0.02
% 2.85/1.69  BG Simplification    : 0.03
% 2.85/1.69  Subsumption          : 0.02
% 2.85/1.69  Abstraction          : 0.01
% 2.85/1.69  MUC search           : 0.00
% 2.85/1.69  Cooper               : 0.00
% 2.85/1.69  Total                : 0.67
% 2.85/1.69  Index Insertion      : 0.00
% 2.85/1.69  Index Deletion       : 0.00
% 2.85/1.69  Index Matching       : 0.00
% 2.85/1.69  BG Taut test         : 0.00
%------------------------------------------------------------------------------