%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : MSC023_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 : n005.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 2.50s 1.64s
% Output : CNFRefutation 2.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 2
% Syntax : Number of formulae : 7 ( 6 unt; 0 typ; 0 def)
% Number of atoms : 8 ( 2 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 5 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 24 ( 1 atm; 6 fun; 11 num; 6 var)
% Number of types : 2 ( 0 usr; 1 ari)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 4 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 0 usr; 4 con; 0-2 aty)
% Number of variables : 6 ( 5 !; 1 ?; 6 :)
% 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,
~ ? [Ca: $real] : celsius_fahrenheit_temperature_conversion(Ca,451),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fahrenheit_451_to_celsius) ).
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,
! [C_3a: $real] : ~ celsius_fahrenheit_temperature_conversion(C_3a,451),
inference(cnfTransformation,[status(thm)],[f_34]) ).
tff(c_16,plain,
! [C_7a: $real] : ( $sum($product(9/5,C_7a),32) != 451 ),
inference(resolution,[status(thm)],[c_11,c_4]) ).
tff(c_17,plain,
~ $lesseq(0,0),
inference(quantifierElimination,[status(thm),theory('LFA')],[c_16]) ).
tff(c_18,plain,
$false,
inference(backgroundSimplification,[status(thm),theory('LFA')],[c_17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : MSC023_2 : TPTP v9.0.0. Released v5.0.0.
% 0.07/0.13 % 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 : n005.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 : Tue Apr 8 07:59:57 EDT 2025
% 0.12/0.34 % CPUTime :
% 2.50/1.64 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.50/1.64
% 2.50/1.64 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------