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Beagle---0.9.52.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : Beagle---0.9.52
% Problem  : KRS004-1 : TPTP v9.0.0. Released v2.0.0.
% 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 : n010.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 07:07:08 PM UTC 2025

% Result   : Unsatisfiable 2.45s 1.58s
% Output   : CNFRefutation 2.45s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    3
% Syntax   : Number of formulae    :    8 (   4 unt;   0 typ;   0 def)
%            Number of atoms       :   12 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   11 (   7   ~;   4   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-1 aty)
%            Number of functors    :    1 (   1 usr;   1 con; 0-0 aty)
%            Number of variables   :    5 (   5   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ d > c > #nlpp > exist

%Foreground sorts:

%Background operators:

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

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

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

tff(f_27,axiom,
    ! [X1] :
      ( d(X1)
      | ~ c(X1) ),
    file(unknown,unknown) ).

tff(f_39,axiom,
    ! [X1] :
      ( ~ d(X1)
      | ~ c(X1) ),
    file(unknown,unknown) ).

tff(f_22,axiom,
    c(exist),
    file(unknown,unknown) ).

tff(c_10,plain,
    ! [X1_5] :
      ( ~ c(X1_5)
      | d(X1_5) ),
    inference(cnfTransformation,[status(thm)],[f_27]) ).

tff(c_8,plain,
    ! [X1_3] :
      ( ~ c(X1_3)
      | ~ d(X1_3) ),
    inference(cnfTransformation,[status(thm)],[f_39]) ).

tff(c_14,plain,
    ! [X1_5] : ~ c(X1_5),
    inference(resolution,[status(thm)],[c_10,c_8]) ).

tff(c_2,plain,
    c(exist),
    inference(cnfTransformation,[status(thm)],[f_22]) ).

tff(c_16,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_14,c_2]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem  : KRS004-1 : TPTP v9.0.0. Released v2.0.0.
% 0.04/0.14  % 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
% 0.14/0.35  % Computer : n010.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Tue Apr  8 02:53:17 EDT 2025
% 0.14/0.35  % CPUTime  : 
% 2.45/1.58  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.45/1.58  
% 2.45/1.58  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------