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Beagle---0.9.52.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Beagle---0.9.52
% Problem  : MSC022_2 : TPTP v9.0.0. Released v5.0.0.
% 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 : 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 07:45:12 PM UTC 2025

% Result   : Theorem 2.70s 1.69s
% Output   : CNFRefutation 2.70s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    2
% Syntax   : Number of formulae    :    5 (   4 unt;   0 typ;   0 def)
%            Number of atoms       :    6 (   1 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    3 (   2   ~;   0   |;   0   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number arithmetic     :   15 (   0 atm;   4 fun;   6 num;   5 var)
%            Number of types       :    2 (   0 usr;   1 ari)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   0 usr;   3 con; 0-2 aty)
%            Number of variables   :    5 (   4   !;   1   ?;   5   :)

% Comments : 
%------------------------------------------------------------------------------
%$ celsius_fahrenheit_temperature_conversion > #nlpp

%Foreground sorts:

%Background operators:

%Foreground operators:
tff(celsius_fahrenheit_temperature_conversion,type,
    celsius_fahrenheit_temperature_conversion: ( $real * $real ) > $o ).

tff(f_31,axiom,
    ! [Ca: $real,Fa: $real] :
      ( ( $sum($product(9/5,Ca),32) = Fa )
     => celsius_fahrenheit_temperature_conversion(Ca,Fa) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',celsius_fahrenheit_temperature_conversion) ).

tff(f_34,negated_conjecture,
    ~ ? [Fa: $real] : celsius_fahrenheit_temperature_conversion(37,Fa),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',celsius_37_to_fahrenheit) ).

tff(c_11,plain,
    ! [C_7a: $real] : celsius_fahrenheit_temperature_conversion(C_7a,$sum($product(9/5,C_7a),32)),
    inference(cnfTransformation,[status(thm)],[f_31]) ).

tff(c_4,plain,
    ! [F_3a: $real] : ~ celsius_fahrenheit_temperature_conversion(37,F_3a),
    inference(cnfTransformation,[status(thm)],[f_34]) ).

tff(c_17,plain,
    $false,
    inference(resolution,[status(thm)],[c_11,c_4]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : MSC022_2 : TPTP v9.0.0. Released v5.0.0.
% 0.10/0.13  % 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
% 0.14/0.34  % Computer : n010.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Tue Apr  8 08:00:33 EDT 2025
% 0.14/0.34  % CPUTime  : 
% 2.70/1.69  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.70/1.70  
% 2.70/1.70  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------