TSTP Solution File: PUZ035-6 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : PUZ035-6 : TPTP v8.1.2. Released v2.0.0.
% 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 : n022.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 10:54:05 EDT 2023

% Result   : Unsatisfiable 2.69s 1.64s
% Output   : CNFRefutation 2.69s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   21 (   7 unt;   9 typ;   0 def)
%            Number of atoms       :   17 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   12 (   7   ~;   5   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    8 (   5   >;   3   *;   0   +;   0  <<)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   4 con; 0-2 aty)
%            Number of variables   :   10 (;  10   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ says > truth > or > isa > #nlpp > not > other > knight > knave > asked

%Foreground sorts:

%Background operators:

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

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

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

tff(or,type,
    or: ( $i * $i ) > $i ).

tff(not,type,
    not: $i > $i ).

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

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

tff(isa,type,
    isa: ( $i * $i ) > $i ).

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

tff(f_93,axiom,
    ! [X,Y] :
      ( ~ truth(isa(asked,X))
      | ~ truth(isa(other,Y)) ),
    file(unknown,unknown) ).

tff(f_35,axiom,
    ! [P] :
      ( truth(isa(P,knight))
      | truth(isa(P,knave)) ),
    file(unknown,unknown) ).

tff(c_22,plain,
    ! [Y_16,X_15] :
      ( ~ truth(isa(other,Y_16))
      | ~ truth(isa(asked,X_15)) ),
    inference(cnfTransformation,[status(thm)],[f_93]) ).

tff(c_41,plain,
    ! [X_15] : ~ truth(isa(asked,X_15)),
    inference(splitLeft,[status(thm)],[c_22]) ).

tff(c_43,plain,
    ! [P_27] :
      ( truth(isa(P_27,knave))
      | truth(isa(P_27,knight)) ),
    inference(cnfTransformation,[status(thm)],[f_35]) ).

tff(c_47,plain,
    truth(isa(asked,knave)),
    inference(resolution,[status(thm)],[c_43,c_41]) ).

tff(c_54,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_41,c_47]) ).

tff(c_55,plain,
    ! [Y_16] : ~ truth(isa(other,Y_16)),
    inference(splitRight,[status(thm)],[c_22]) ).

tff(c_2,plain,
    ! [P_1] :
      ( truth(isa(P_1,knave))
      | truth(isa(P_1,knight)) ),
    inference(cnfTransformation,[status(thm)],[f_35]) ).

tff(c_61,plain,
    ! [Y_29] : ~ truth(isa(other,Y_29)),
    inference(splitRight,[status(thm)],[c_22]) ).

tff(c_65,plain,
    truth(isa(other,knave)),
    inference(resolution,[status(thm)],[c_2,c_61]) ).

tff(c_69,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_55,c_65]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : PUZ035-6 : TPTP v8.1.2. Released v2.0.0.
% 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
% 0.13/0.35  % Computer : n022.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Thu Aug  3 17:35:03 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 2.69/1.64  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.69/1.64  
% 2.69/1.64  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.69/1.67  
% 2.69/1.67  Inference rules
% 2.69/1.67  ----------------------
% 2.69/1.67  #Ref     : 0
% 2.69/1.67  #Sup     : 7
% 2.69/1.67  #Fact    : 0
% 2.69/1.67  #Define  : 0
% 2.69/1.67  #Split   : 1
% 2.69/1.67  #Chain   : 0
% 2.69/1.67  #Close   : 0
% 2.69/1.67  
% 2.69/1.67  Ordering : KBO
% 2.69/1.67  
% 2.69/1.67  Simplification rules
% 2.69/1.67  ----------------------
% 2.69/1.67  #Subsume      : 0
% 2.69/1.67  #Demod        : 0
% 2.69/1.67  #Tautology    : 4
% 2.69/1.67  #SimpNegUnit  : 2
% 2.69/1.67  #BackRed      : 0
% 2.69/1.67  
% 2.69/1.67  #Partial instantiations: 0
% 2.69/1.67  #Strategies tried      : 1
% 2.69/1.67  
% 2.69/1.67  Timing (in seconds)
% 2.69/1.67  ----------------------
% 2.69/1.67  Preprocessing        : 0.42
% 2.69/1.67  Parsing              : 0.23
% 2.69/1.67  CNF conversion       : 0.02
% 2.69/1.67  Main loop            : 0.19
% 2.69/1.67  Inferencing          : 0.09
% 2.69/1.67  Reduction            : 0.04
% 2.69/1.67  Demodulation         : 0.02
% 2.69/1.67  BG Simplification    : 0.01
% 2.69/1.67  Subsumption          : 0.04
% 2.69/1.67  Abstraction          : 0.01
% 2.69/1.67  MUC search           : 0.00
% 2.69/1.67  Cooper               : 0.00
% 2.69/1.67  Total                : 0.65
% 2.69/1.67  Index Insertion      : 0.00
% 2.69/1.67  Index Deletion       : 0.00
% 2.69/1.67  Index Matching       : 0.00
% 2.69/1.67  BG Taut test         : 0.00
%------------------------------------------------------------------------------