TSTP Solution File: PUZ011-1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : PUZ011-1 : TPTP v8.1.2. Released v1.0.0.
% 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 : n014.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 10:53:56 EDT 2023

% Result   : Unsatisfiable 3.01s 1.76s
% Output   : CNFRefutation 3.07s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   25
% Syntax   : Number of formulae    :   35 (  12 unt;  19 typ;   0 def)
%            Number of atoms       :   28 (   0 equ)
%            Maximal formula atoms :    5 (   1 avg)
%            Number of connectives :   29 (  17   ~;  12   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    6 (   5   >;   1   *;   0   +;   0  <<)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :   14 (  14 usr;  14 con; 0-0 aty)
%            Number of variables   :    8 (;   8   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ borders > south_american > ocean > asian > african > #nlpp > zaire > venesuela > uruguay > tanzania > somalia > pakistan > nigeria > kenya > iran > indian > india > brazil > atlantic > angola

%Foreground sorts:

%Background operators:

%Foreground operators:
tff(asian,type,
    asian: $i > $o ).

tff(pakistan,type,
    pakistan: $i ).

tff(india,type,
    india: $i ).

tff(nigeria,type,
    nigeria: $i ).

tff(uruguay,type,
    uruguay: $i ).

tff(african,type,
    african: $i > $o ).

tff(zaire,type,
    zaire: $i ).

tff(indian,type,
    indian: $i ).

tff(venesuela,type,
    venesuela: $i ).

tff(kenya,type,
    kenya: $i ).

tff(ocean,type,
    ocean: $i > $o ).

tff(somalia,type,
    somalia: $i ).

tff(tanzania,type,
    tanzania: $i ).

tff(brazil,type,
    brazil: $i ).

tff(angola,type,
    angola: $i ).

tff(south_american,type,
    south_american: $i > $o ).

tff(atlantic,type,
    atlantic: $i ).

tff(borders,type,
    borders: ( $i * $i ) > $o ).

tff(iran,type,
    iran: $i ).

tff(f_44,axiom,
    african(somalia),
    file(unknown,unknown) ).

tff(f_35,axiom,
    borders(indian,somalia),
    file(unknown,unknown) ).

tff(f_25,axiom,
    ocean(indian),
    file(unknown,unknown) ).

tff(f_49,axiom,
    asian(iran),
    file(unknown,unknown) ).

tff(f_34,axiom,
    borders(indian,iran),
    file(unknown,unknown) ).

tff(f_64,axiom,
    ! [Ocean,African,Asian] :
      ( ~ ocean(Ocean)
      | ~ borders(Ocean,African)
      | ~ african(African)
      | ~ borders(Ocean,Asian)
      | ~ asian(Asian) ),
    file(unknown,unknown) ).

tff(c_42,plain,
    african(somalia),
    inference(cnfTransformation,[status(thm)],[f_44]) ).

tff(c_24,plain,
    borders(indian,somalia),
    inference(cnfTransformation,[status(thm)],[f_35]) ).

tff(c_4,plain,
    ocean(indian),
    inference(cnfTransformation,[status(thm)],[f_25]) ).

tff(c_52,plain,
    asian(iran),
    inference(cnfTransformation,[status(thm)],[f_49]) ).

tff(c_22,plain,
    borders(indian,iran),
    inference(cnfTransformation,[status(thm)],[f_34]) ).

tff(c_55,plain,
    ! [Asian_4,Ocean_5,African_6] :
      ( ~ asian(Asian_4)
      | ~ borders(Ocean_5,Asian_4)
      | ~ african(African_6)
      | ~ borders(Ocean_5,African_6)
      | ~ ocean(Ocean_5) ),
    inference(cnfTransformation,[status(thm)],[f_64]) ).

tff(c_67,plain,
    ! [African_6] :
      ( ~ asian(iran)
      | ~ african(African_6)
      | ~ borders(indian,African_6)
      | ~ ocean(indian) ),
    inference(resolution,[status(thm)],[c_22,c_55]) ).

tff(c_116,plain,
    ! [African_7] :
      ( ~ african(African_7)
      | ~ borders(indian,African_7) ),
    inference(demodulation,[status(thm),theory(equality)],[c_4,c_52,c_67]) ).

tff(c_119,plain,
    ~ african(somalia),
    inference(resolution,[status(thm)],[c_24,c_116]) ).

tff(c_138,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_42,c_119]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : PUZ011-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.13  % 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
% 0.13/0.34  % Computer : n014.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Thu Aug  3 17:32:18 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 3.01/1.76  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.01/1.77  
% 3.01/1.77  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.07/1.79  
% 3.07/1.79  Inference rules
% 3.07/1.79  ----------------------
% 3.07/1.79  #Ref     : 0
% 3.07/1.79  #Sup     : 18
% 3.07/1.79  #Fact    : 0
% 3.07/1.79  #Define  : 0
% 3.07/1.79  #Split   : 0
% 3.07/1.79  #Chain   : 0
% 3.07/1.79  #Close   : 0
% 3.07/1.79  
% 3.07/1.79  Ordering : KBO
% 3.07/1.79  
% 3.07/1.79  Simplification rules
% 3.07/1.79  ----------------------
% 3.07/1.79  #Subsume      : 0
% 3.07/1.79  #Demod        : 16
% 3.07/1.79  #Tautology    : 0
% 3.07/1.79  #SimpNegUnit  : 0
% 3.07/1.79  #BackRed      : 0
% 3.07/1.79  
% 3.07/1.79  #Partial instantiations: 0
% 3.07/1.79  #Strategies tried      : 1
% 3.07/1.79  
% 3.07/1.79  Timing (in seconds)
% 3.07/1.79  ----------------------
% 3.07/1.80  Preprocessing        : 0.43
% 3.07/1.80  Parsing              : 0.23
% 3.07/1.80  CNF conversion       : 0.02
% 3.07/1.80  Main loop            : 0.26
% 3.07/1.80  Inferencing          : 0.11
% 3.07/1.80  Reduction            : 0.08
% 3.07/1.80  Demodulation         : 0.06
% 3.07/1.80  BG Simplification    : 0.02
% 3.07/1.80  Subsumption          : 0.03
% 3.07/1.80  Abstraction          : 0.01
% 3.07/1.80  MUC search           : 0.00
% 3.07/1.80  Cooper               : 0.00
% 3.07/1.80  Total                : 0.74
% 3.07/1.80  Index Insertion      : 0.00
% 3.07/1.80  Index Deletion       : 0.00
% 3.07/1.80  Index Matching       : 0.00
% 3.07/1.80  BG Taut test         : 0.00
%------------------------------------------------------------------------------