TSTP Solution File: DAT073_1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : DAT073_1 : TPTP v8.1.2. Released v6.1.0.
% 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 : n015.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 10:37:06 EDT 2023

% Result   : Theorem 225.51s 201.51s
% Output   : CNFRefutation 225.51s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   20
% Syntax   : Number of formulae    :   31 (   5 unt;  17 typ;   0 def)
%            Number of atoms       :   35 (   2 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   37 (  16   ~;  16   |;   2   &)
%                                         (   1 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number arithmetic     :   67 (  24 atm;   0 fun;  17 num;  26 var)
%            Number of types       :    3 (   1 usr;   1 ari)
%            Number of type conns  :   36 (  16   >;  20   *;   0   +;   0  <<)
%            Number of predicates  :    8 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :   14 (  13 usr;   1 con; 0-3 aty)
%            Number of variables   :   32 (;  32   !;   0   ?;  32   :)

% Comments : 
%------------------------------------------------------------------------------
%$ inRange > sorted > distinct > write > rev > read > max > #nlpp > init > #skF_5 > #skF_4 > #skF_8 > #skF_1 > #skF_6 > #skF_3 > #skF_7 > #skF_2

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

%Background operators:

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

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

tff('#skF_5',type,
    '#skF_5': ( array * $int * $int ) > $int ).

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

tff(init,type,
    init: $int > array ).

tff('#skF_4',type,
    '#skF_4': ( array * $int ) > $int ).

tff('#skF_8',type,
    '#skF_8': ( array * array * $int ) > $int ).

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

tff('#skF_6',type,
    '#skF_6': ( array * $int ) > $int ).

tff('#skF_3',type,
    '#skF_3': ( array * $int ) > $int ).

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

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

tff('#skF_7',type,
    '#skF_7': ( array * $int ) > $int ).

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

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

tff('#skF_2',type,
    '#skF_2': ( array * $int * $int ) > $int ).

tff(f_124,negated_conjecture,
    ~ ~ ! [A: array,Na: $int] :
          ( $greatereq(Na,0)
         => inRange(A,max(A,Na),Na) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c1) ).

tff(f_43,axiom,
    ! [Va: $int,Ia: $int] : ( read(init(Va),Ia) = Va ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).

tff(f_86,axiom,
    ! [A: array,Ra: $int,Na: $int] :
      ( inRange(A,Ra,Na)
    <=> ! [Ia: $int] :
          ( ( $greater(Na,Ia)
            & $greatereq(Ia,0) )
         => ( $greatereq(Ra,read(A,Ia))
            & $greatereq(read(A,Ia),0) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inRange) ).

tff(c_71,plain,
    ! [A_45: array,N_46a: $int] :
      ( inRange(A_45,max(A_45,N_46a),N_46a)
      | ~ $greatereq(N_46a,0) ),
    inference(cnfTransformation,[status(thm)],[f_124]) ).

tff(c_220800,plain,
    ! [A_19707: array,N_19708: $int] :
      ( inRange(A_19707,max(A_19707,N_19708),N_19708)
      | $less(N_19708,0) ),
    inference(backgroundSimplification,[status(thm),theory('LRFIA')],[c_71]) ).

tff(c_220825,plain,
    ! [V_19774: $int,I_19775: $int] : ( read(init(V_19774),I_19775) = V_19774 ),
    inference(cnfTransformation,[status(thm)],[f_43]) ).

tff(c_31,plain,
    ! [A_27: array,I_32a: $int,R_28a: $int,N_29a: $int] :
      ( $greatereq(read(A_27,I_32a),0)
      | ~ inRange(A_27,R_28a,N_29a)
      | ~ $greater(N_29a,I_32a)
      | ~ $greatereq(I_32a,0) ),
    inference(cnfTransformation,[status(thm)],[f_86]) ).

tff(c_220937,plain,
    ! [A_19830: array,I_19831: $int,R_19832: $int,N_19833: $int] :
      ( ~ $less(read(A_19830,I_19831),0)
      | ~ inRange(A_19830,R_19832,N_19833)
      | ~ $less(I_19831,N_19833)
      | $less(I_19831,0) ),
    inference(backgroundSimplification,[status(thm),theory('LRFIA')],[c_31]) ).

tff(c_220947,plain,
    ! [V_19834: $int,R_19835: $int,N_19836: $int,I_19837: $int] :
      ( ~ $less(V_19834,0)
      | ~ inRange(init(V_19834),R_19835,N_19836)
      | ~ $less(I_19837,N_19836)
      | $less(I_19837,0) ),
    inference(superposition,[status(thm),theory(equality)],[c_220825,c_220937]) ).

tff(c_220962,plain,
    ! [V_19834: $int,I_19837: $int,N_19708: $int] :
      ( ~ $less(V_19834,0)
      | ~ $less(I_19837,N_19708)
      | $less(I_19837,0)
      | $less(N_19708,0) ),
    inference(resolution,[status(thm)],[c_220800,c_220947]) ).

tff(c_220964,plain,
    ! [V_19834: $int] : ~ $less(V_19834,0),
    inference(splitLeft,[status(thm)],[c_220962]) ).

tff(c_220971,plain,
    $false,
    inference(quantifierElimination,[status(thm),theory('LIA')],[c_220964]) ).

tff(c_220973,plain,
    ! [I_19837: $int,N_19708: $int] :
      ( ~ $less(I_19837,N_19708)
      | $less(I_19837,0)
      | $less(N_19708,0) ),
    inference(splitRight,[status(thm)],[c_220962]) ).

tff(c_220975,plain,
    $false,
    inference(quantifierElimination,[status(thm),theory('LIA')],[c_220973]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14  % Problem  : DAT073_1 : TPTP v8.1.2. Released v6.1.0.
% 0.00/0.15  % 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
% 0.15/0.36  % Computer : n015.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 300
% 0.15/0.36  % DateTime : Thu Aug  3 13:27:14 EDT 2023
% 0.15/0.36  % CPUTime  : 
% 119.17/101.75  ***********************************************************************
% 119.17/101.75  After 100.1 sec it's time to try something different, got 99.6 sec left
% 119.17/101.75  ***********************************************************************
% 225.28/201.45  ***********************************************************************
% 225.28/201.45  After 199.8 sec it's time to try something different, got 99.6 sec left
% 225.28/201.45  ***********************************************************************
% 225.51/201.51  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 225.51/201.51  
% 225.51/201.51  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 225.51/201.54  
% 225.51/201.54  Inference rules
% 225.51/201.54  ----------------------
% 225.51/201.54  #Ref     : 17
% 225.51/201.54  #Sup     : 43274
% 225.51/201.54  #Fact    : 124
% 225.51/201.54  #Define  : 0
% 225.51/201.54  #Split   : 1
% 225.51/201.54  #Chain   : 0
% 225.51/201.54  #Close   : 0
% 225.51/201.54  
% 225.51/201.54  Ordering : LPO
% 225.51/201.54  
% 225.51/201.54  Simplification rules
% 225.51/201.54  ----------------------
% 225.51/201.54  #Subsume      : 2608
% 225.51/201.54  #Demod        : 7756
% 225.51/201.54  #Tautology    : 17163
% 225.51/201.54  #SimpNegUnit  : 3
% 225.51/201.54  #BackRed      : 1
% 225.51/201.54  
% 225.51/201.54  #Partial instantiations: 0
% 225.51/201.54  #Strategies tried      : 3
% 225.51/201.54  
% 225.51/201.54  Timing (in seconds)
% 225.51/201.54  ----------------------
% 225.51/201.54  Preprocessing        : 0.63
% 225.51/201.54  Parsing              : 0.31
% 225.51/201.54  CNF conversion       : 0.04
% 225.51/201.54  Main loop            : 199.84
% 225.51/201.54  Inferencing          : 20.34
% 225.51/201.54  Reduction            : 11.30
% 225.51/201.54  Demodulation         : 8.78
% 225.51/201.54  BG Simplification    : 2.86
% 225.51/201.54  Subsumption          : 162.36
% 225.51/201.54  Abstraction          : 1.11
% 225.51/201.54  MUC search           : 0.00
% 225.51/201.54  Cooper               : 0.02
% 225.51/201.54  Total                : 200.51
% 225.51/201.54  Index Insertion      : 0.00
% 225.51/201.54  Index Deletion       : 0.00
% 225.51/201.54  Index Matching       : 0.00
% 225.51/201.54  BG Taut test         : 0.00
%------------------------------------------------------------------------------