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Beagle---0.9.52.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Beagle---0.9.52
% Problem  : NLP267_2 : TPTP v9.0.0. Released v8.2.0.
% 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 : 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 : Wed Apr  9 07:48:51 PM UTC 2025

% Result   : Theorem 2.91s 1.68s
% Output   : CNFRefutation 2.91s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   17 (   8 unt;   0 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  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    6 (   3 usr;   2 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   6 con; 0-0 aty)
%            Number of variables   :    7 (   7   !;   0   ?;   7   :)

% Comments : 
%------------------------------------------------------------------------------
%$ price > dest > class > #nlpp > seventy > second > paris > ninetyfive > first > #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(class,type,
    class: ( $ki_world * $i ) > $o ).

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

tff(f_73,negated_conjecture,
    ~ ! [W: $ki_world] :
        ( $ki_accessible($ki_local_world,W)
       => price(W,seventy) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',verify) ).

tff(f_68,axiom,
    ! [W: $ki_world] :
      ( $ki_accessible($ki_local_world,W)
     => class(W,second) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',belief2) ).

tff(f_64,axiom,
    ! [W: $ki_world] :
      ( $ki_accessible($ki_local_world,W)
     => dest(W,paris) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',belief1) ).

tff(f_46,axiom,
    ! [W: $ki_world] :
      ( $ki_accessible($ki_local_world,W)
     => ( ( dest(W,paris)
          & class(W,second) )
       => price(W,seventy) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',law2) ).

tff(c_18,plain,
    $ki_accessible($ki_local_world,'#skF_1'),
    inference(cnfTransformation,[status(thm)],[f_73]) ).

tff(c_14,plain,
    ! [W_7: $ki_world] :
      ( class(W_7,second)
      | ~ $ki_accessible($ki_local_world,W_7) ),
    inference(cnfTransformation,[status(thm)],[f_68]) ).

tff(c_12,plain,
    ! [W_6: $ki_world] :
      ( dest(W_6,paris)
      | ~ $ki_accessible($ki_local_world,W_6) ),
    inference(cnfTransformation,[status(thm)],[f_64]) ).

tff(c_29,plain,
    ! [W_14: $ki_world] :
      ( price(W_14,seventy)
      | ~ class(W_14,second)
      | ~ dest(W_14,paris)
      | ~ $ki_accessible($ki_local_world,W_14) ),
    inference(cnfTransformation,[status(thm)],[f_46]) ).

tff(c_16,plain,
    ~ price('#skF_1',seventy),
    inference(cnfTransformation,[status(thm)],[f_73]) ).

tff(c_35,plain,
    ( ~ class('#skF_1',second)
    | ~ dest('#skF_1',paris)
    | ~ $ki_accessible($ki_local_world,'#skF_1') ),
    inference(resolution,[status(thm)],[c_29,c_16]) ).

tff(c_39,plain,
    ( ~ class('#skF_1',second)
    | ~ dest('#skF_1',paris) ),
    inference(demodulation,[status(thm),theory(equality)],[c_18,c_35]) ).

tff(c_40,plain,
    ~ dest('#skF_1',paris),
    inference(splitLeft,[status(thm)],[c_39]) ).

tff(c_43,plain,
    ~ $ki_accessible($ki_local_world,'#skF_1'),
    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_1',second),
    inference(splitRight,[status(thm)],[c_39]) ).

tff(c_52,plain,
    ~ $ki_accessible($ki_local_world,'#skF_1'),
    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
% 0.00/0.12  % Problem  : NLP267_2 : TPTP v9.0.0. Released v8.2.0.
% 0.12/0.13  % 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
% 0.12/0.33  % Computer : n020.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Tue Apr  8 09:53:19 EDT 2025
% 0.12/0.34  % CPUTime  : 
% 2.91/1.68  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.91/1.69  
% 2.91/1.69  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------