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Beagle---0.9.52.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : Beagle---0.9.52
% Problem  : SYN047-1 : TPTP v9.0.0. Released v1.0.0.
% 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 : n024.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 10:02:16 PM UTC 2025

% Result   : Unsatisfiable 2.30s 1.52s
% Output   : CNFRefutation 2.37s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   16 (   8 unt;   0 typ;   0 def)
%            Number of atoms       :   28 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   27 (  15   ~;  12   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   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  :    5 (   4 usr;   5 prp; 0-0 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :    0 (   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ #nlpp > s > r > q > p

%Foreground sorts:

%Background operators:

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

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

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

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

tff(f_25,axiom,
    p,
    file(unknown,unknown) ).

tff(f_40,axiom,
    ~ s,
    file(unknown,unknown) ).

tff(f_31,axiom,
    ( ~ p
    | q
    | s ),
    file(unknown,unknown) ).

tff(f_38,axiom,
    ( ~ p
    | ~ r
    | s ),
    file(unknown,unknown) ).

tff(f_44,axiom,
    ( ~ q
    | r ),
    file(unknown,unknown) ).

tff(c_2,plain,
    p,
    inference(cnfTransformation,[status(thm)],[f_25]) ).

tff(c_8,plain,
    ~ s,
    inference(cnfTransformation,[status(thm)],[f_40]) ).

tff(c_4,plain,
    ( s
    | q
    | ~ p ),
    inference(cnfTransformation,[status(thm)],[f_31]) ).

tff(c_12,plain,
    ( q
    | ~ p ),
    inference(negUnitSimplification,[status(thm)],[c_8,c_4]) ).

tff(c_16,plain,
    q,
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_12]) ).

tff(c_6,plain,
    ( s
    | ~ r
    | ~ p ),
    inference(cnfTransformation,[status(thm)],[f_38]) ).

tff(c_11,plain,
    ( ~ r
    | ~ p ),
    inference(negUnitSimplification,[status(thm)],[c_8,c_6]) ).

tff(c_14,plain,
    ~ r,
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_11]) ).

tff(c_10,plain,
    ( r
    | ~ q ),
    inference(cnfTransformation,[status(thm)],[f_44]) ).

tff(c_17,plain,
    ~ q,
    inference(negUnitSimplification,[status(thm)],[c_14,c_10]) ).

tff(c_19,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_16,c_17]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.12  % Problem  : SYN047-1 : TPTP v9.0.0. Released v1.0.0.
% 0.09/0.12  % 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
% 0.12/0.33  % Computer : n024.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
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Wed Apr  9 06:53:21 EDT 2025
% 0.12/0.34  % CPUTime  : 
% 2.30/1.52  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.30/1.53  
% 2.30/1.53  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------