TSTP Solution File: NLP267_3 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : NLP267_3 : TPTP v8.2.0. Released v8.2.0.
% 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 : n020.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 10:50:48 EDT 2023

% Result   : Theorem 2.98s 1.67s
% Output   : CNFRefutation 3.04s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   28 (   8 unt;  11 typ;   0 def)
%            Number of atoms       :   42 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   30 (  16   ~;   8   |;   1   &)
%                                         (   0 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of FOOLs       :   11 (  11 fml;   0 var)
%            Number of types       :    3 (   0 usr)
%            Number of type conns  :    7 (   4   >;   3   *;   0   +;   0  <<)
%            Number of predicates  :    6 (   3 usr;   2 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-1 aty)
%            Number of variables   :    7 (;   7   !;   0   ?;   7   :)

% Comments : 
%------------------------------------------------------------------------------
%$ price > dest > class > #nlpp > seventy > second > paris > ninetyfive > first > #skF_2 > #skF_1

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

%Background operators:

%Foreground operators:
tff(dest,type,
    dest: ( $ki_world * $i ) > $o ).

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

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

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

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

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

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

tff('#skF_2',type,
    '#skF_2': $ki_world ).

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

tff('#skF_1',type,
    '#skF_1': $ki_world > $ki_world ).

tff(f_74,negated_conjecture,
    ~ ! [W: $ki_world] :
        ( $ki_accessible($ki_local_world,W)
       => price(W,seventy) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',verify) ).

tff(f_69,axiom,
    ! [W: $ki_world] :
      ( $ki_accessible($ki_local_world,W)
     => class(W,second) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',belief2) ).

tff(f_65,axiom,
    ! [W: $ki_world] :
      ( $ki_accessible($ki_local_world,W)
     => dest(W,paris) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',belief1) ).

tff(f_47,axiom,
    ! [W: $ki_world] :
      ( $ki_accessible($ki_local_world,W)
     => ( ( dest(W,paris)
          & class(W,second) )
       => price(W,seventy) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',law2) ).

tff(c_18,plain,
    $ki_accessible($ki_local_world,'#skF_2'),
    inference(cnfTransformation,[status(thm)],[f_74]) ).

tff(c_14,plain,
    ! [W_8: $ki_world] :
      ( class(W_8,second)
      | ~ $ki_accessible($ki_local_world,W_8) ),
    inference(cnfTransformation,[status(thm)],[f_69]) ).

tff(c_12,plain,
    ! [W_7: $ki_world] :
      ( dest(W_7,paris)
      | ~ $ki_accessible($ki_local_world,W_7) ),
    inference(cnfTransformation,[status(thm)],[f_65]) ).

tff(c_29,plain,
    ! [W_15: $ki_world] :
      ( price(W_15,seventy)
      | ~ class(W_15,second)
      | ~ dest(W_15,paris)
      | ~ $ki_accessible($ki_local_world,W_15) ),
    inference(cnfTransformation,[status(thm)],[f_47]) ).

tff(c_16,plain,
    ~ price('#skF_2',seventy),
    inference(cnfTransformation,[status(thm)],[f_74]) ).

tff(c_35,plain,
    ( ~ class('#skF_2',second)
    | ~ dest('#skF_2',paris)
    | ~ $ki_accessible($ki_local_world,'#skF_2') ),
    inference(resolution,[status(thm)],[c_29,c_16]) ).

tff(c_39,plain,
    ( ~ class('#skF_2',second)
    | ~ dest('#skF_2',paris) ),
    inference(demodulation,[status(thm),theory(equality)],[c_18,c_35]) ).

tff(c_40,plain,
    ~ dest('#skF_2',paris),
    inference(splitLeft,[status(thm)],[c_39]) ).

tff(c_43,plain,
    ~ $ki_accessible($ki_local_world,'#skF_2'),
    inference(resolution,[status(thm)],[c_12,c_40]) ).

tff(c_47,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_18,c_43]) ).

tff(c_48,plain,
    ~ class('#skF_2',second),
    inference(splitRight,[status(thm)],[c_39]) ).

tff(c_52,plain,
    ~ $ki_accessible($ki_local_world,'#skF_2'),
    inference(resolution,[status(thm)],[c_14,c_48]) ).

tff(c_56,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_18,c_52]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : NLP267_3 : TPTP v8.2.0. Released v8.2.0.
% 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 : n020.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 13:00:52 EDT 2023
% 0.14/0.36  % CPUTime  : 
% 2.98/1.67  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.98/1.67  
% 2.98/1.67  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.04/1.70  
% 3.04/1.70  Inference rules
% 3.04/1.70  ----------------------
% 3.04/1.70  #Ref     : 0
% 3.04/1.70  #Sup     : 5
% 3.04/1.70  #Fact    : 0
% 3.04/1.70  #Define  : 0
% 3.04/1.70  #Split   : 1
% 3.04/1.70  #Chain   : 0
% 3.04/1.70  #Close   : 0
% 3.04/1.70  
% 3.04/1.70  Ordering : KBO
% 3.04/1.70  
% 3.04/1.70  Simplification rules
% 3.04/1.70  ----------------------
% 3.04/1.70  #Subsume      : 1
% 3.04/1.70  #Demod        : 3
% 3.04/1.70  #Tautology    : 0
% 3.04/1.70  #SimpNegUnit  : 0
% 3.04/1.70  #BackRed      : 0
% 3.04/1.70  
% 3.04/1.70  #Partial instantiations: 0
% 3.04/1.70  #Strategies tried      : 1
% 3.04/1.70  
% 3.04/1.70  Timing (in seconds)
% 3.04/1.70  ----------------------
% 3.04/1.70  Preprocessing        : 0.49
% 3.04/1.70  Parsing              : 0.30
% 3.04/1.70  CNF conversion       : 0.03
% 3.04/1.70  Main loop            : 0.18
% 3.04/1.70  Inferencing          : 0.08
% 3.04/1.70  Reduction            : 0.04
% 3.04/1.70  Demodulation         : 0.03
% 3.04/1.70  BG Simplification    : 0.02
% 3.04/1.70  Subsumption          : 0.04
% 3.04/1.70  Abstraction          : 0.01
% 3.04/1.70  MUC search           : 0.00
% 3.04/1.70  Cooper               : 0.00
% 3.04/1.70  Total                : 0.72
% 3.04/1.70  Index Insertion      : 0.00
% 3.04/1.70  Index Deletion       : 0.00
% 3.04/1.71  Index Matching       : 0.00
% 3.04/1.71  BG Taut test         : 0.00
%------------------------------------------------------------------------------