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Beagle---0.9.52.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Beagle---0.9.52
% Problem  : SYN392+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/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 : n004.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 10:03:26 PM UTC 2025

% Result   : Theorem 2.25s 1.53s
% Output   : CNFRefutation 2.44s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   11 (   6 unt;   0 typ;   0 def)
%            Number of atoms       :   20 (   0 equ)
%            Maximal formula atoms :    6 (   1 avg)
%            Number of connectives :   18 (   9   ~;   6   |;   1   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   2 avg)
%            Maximal term depth    :    0 (   0 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    3 (   2 usr;   3 prp; 0-0 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :    0 (   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ #nlpp > p2 > p1

%Foreground sorts:

%Background operators:

%Foreground operators:
tff(p2,type,
    p2: $o ).

tff(p1,type,
    p1: $o ).

tff(f_40,negated_conjecture,
    ~ ( ( p1
      <=> p2 )
    <=> ( ( p2
          | ~ p1 )
        & ( ~ p2
          | p1 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel14) ).

tff(c_64,plain,
    ( ~ p1
    | p2 ),
    inference(cnfTransformation,[status(thm)],[f_40]) ).

tff(c_73,plain,
    ~ p1,
    inference(splitLeft,[status(thm)],[c_64]) ).

tff(c_50,plain,
    ( p1
    | ~ p2 ),
    inference(cnfTransformation,[status(thm)],[f_40]) ).

tff(c_74,plain,
    ~ p2,
    inference(negUnitSimplification,[status(thm)],[c_73,c_50]) ).

tff(c_46,plain,
    ( p1
    | p2 ),
    inference(cnfTransformation,[status(thm)],[f_40]) ).

tff(c_75,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_74,c_73,c_46]) ).

tff(c_77,plain,
    p1,
    inference(splitRight,[status(thm)],[c_64]) ).

tff(c_76,plain,
    p2,
    inference(splitRight,[status(thm)],[c_64]) ).

tff(c_8,plain,
    ( ~ p2
    | ~ p1 ),
    inference(cnfTransformation,[status(thm)],[f_40]) ).

tff(c_79,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_77,c_76,c_8]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SYN392+1 : TPTP v9.0.0. Released v2.0.0.
% 0.06/0.13  % 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
% 0.12/0.34  % Computer : n004.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % 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 : Wed Apr  9 07:22:07 EDT 2025
% 0.12/0.34  % CPUTime  : 
% 2.25/1.53  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.44/1.53  
% 2.44/1.53  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------