%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : NUM907_1 : TPTP v9.0.0. Bugfixed v5.4.0.
% 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 : n003.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 07:57:29 PM UTC 2025
% Result : Theorem 2.90s 1.86s
% Output : CNFRefutation 2.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 1
% Syntax : Number of formulae : 32 ( 20 unt; 0 typ; 0 def)
% Number of atoms : 51 ( 44 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 46 ( 27 ~; 17 |; 1 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 68 ( 0 atm; 65 fun; 0 num; 3 var)
% Number of types : 1 ( 0 usr; 1 ari)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 6 usr; 6 con; 0-2 aty)
% Number of variables : 3 ( 3 !; 0 ?; 3 :)
% Comments :
%------------------------------------------------------------------------------
%$ #nlpp
%Foreground sorts:
%Background operators:
tff('#skF_2',type,
'#skF_2': $rat ).
tff('#skF_3',type,
'#skF_3': $rat ).
tff('#skF_1',type,
'#skF_1': $rat ).
tff('#skF_5',type,
'#skF_5': $rat ).
tff('#skF_4',type,
'#skF_4': $rat ).
tff('#skF_6',type,
'#skF_6': $rat ).
%Foreground operators:
tff(f_35,negated_conjecture,
~ ! [Xa: $rat,Ya: $rat,Za: $rat] :
( ( $sum(Xa,Ya) = Za )
<=> ( ( $difference(Za,Ya) = Xa )
& ( $difference(Za,Xa) = Ya ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rat_combined_problem_2) ).
tff(c_4,plain,
( ( '#skF_6' = $sum('#skF_4','#skF_5') )
| ( '#skF_3' != $sum('#skF_1','#skF_2') ) ),
inference(cnfTransformation,[status(thm)],[f_35]) ).
tff(c_8,plain,
'#skF_3' != $sum('#skF_1','#skF_2'),
inference(splitLeft,[status(thm)],[c_4]) ).
tff(c_6,plain,
( ( '#skF_6' = $sum('#skF_4','#skF_5') )
| ( $difference('#skF_3','#skF_2') = '#skF_1' ) ),
inference(cnfTransformation,[status(thm)],[f_35]) ).
tff(c_7,plain,
$difference('#skF_3','#skF_2') = '#skF_1',
inference(splitLeft,[status(thm)],[c_6]) ).
tff(c_9,plain,
$false,
inference(close,[status(thm),theory('LRA')],[c_8,c_7]) ).
tff(c_11,plain,
'#skF_3' = $sum('#skF_1','#skF_2'),
inference(splitRight,[status(thm)],[c_4]) ).
tff(c_10,plain,
'#skF_6' = $sum('#skF_4','#skF_5'),
inference(splitRight,[status(thm)],[c_4]) ).
tff(c_2,plain,
( ( $difference('#skF_6','#skF_5') != '#skF_4' )
| ( $difference('#skF_6','#skF_4') != '#skF_5' )
| ( $difference('#skF_3','#skF_1') = '#skF_2' ) ),
inference(cnfTransformation,[status(thm)],[f_35]) ).
tff(c_16,plain,
( ( $difference($sum('#skF_4','#skF_5'),'#skF_5') != '#skF_4' )
| ( $difference($sum('#skF_4','#skF_5'),'#skF_4') != '#skF_5' )
| ( $difference($sum('#skF_1','#skF_2'),'#skF_1') = '#skF_2' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_11,c_10,c_10,c_2]) ).
tff(c_17,plain,
( ( $sum('#skF_4',$difference('#skF_5','#skF_5')) != '#skF_4' )
| ( $sum('#skF_4',$difference('#skF_5','#skF_4')) != '#skF_5' )
| ( $sum('#skF_1',$difference('#skF_2','#skF_1')) = '#skF_2' ) ),
inference(backgroundSimplification,[status(thm),theory('LRA')],[c_16]) ).
tff(c_18,plain,
$sum('#skF_4',$difference('#skF_5','#skF_4')) != '#skF_5',
inference(splitLeft,[status(thm)],[c_17]) ).
tff(c_21,plain,
$false,
inference(close,[status(thm),theory('LRA')],[c_18]) ).
tff(c_23,plain,
$sum('#skF_4',$difference('#skF_5','#skF_4')) = '#skF_5',
inference(splitRight,[status(thm)],[c_17]) ).
tff(c_1,plain,
( ( $difference('#skF_6','#skF_5') != '#skF_4' )
| ( $difference('#skF_6','#skF_4') != '#skF_5' )
| ( '#skF_3' != $sum('#skF_1','#skF_2') ) ),
inference(cnfTransformation,[status(thm)],[f_35]) ).
tff(c_25,plain,
( ( $difference($sum('#skF_4','#skF_5'),'#skF_5') != '#skF_4' )
| ( $difference($sum('#skF_4','#skF_5'),'#skF_4') != '#skF_5' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_11,c_10,c_10,c_1]) ).
tff(c_26,plain,
( ( $sum('#skF_4',$difference('#skF_5','#skF_5')) != '#skF_4' )
| ( $sum('#skF_4',$difference('#skF_5','#skF_4')) != '#skF_5' ) ),
inference(backgroundSimplification,[status(thm),theory('LRA')],[c_25]) ).
tff(c_27,plain,
$sum('#skF_4',$difference('#skF_5','#skF_4')) != '#skF_5',
inference(splitLeft,[status(thm)],[c_26]) ).
tff(c_30,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_23,c_27]) ).
tff(c_31,plain,
$sum('#skF_4',$difference('#skF_5','#skF_5')) != '#skF_4',
inference(splitRight,[status(thm)],[c_26]) ).
tff(c_34,plain,
$false,
inference(close,[status(thm),theory('LRA')],[c_31]) ).
tff(c_35,plain,
'#skF_6' = $sum('#skF_4','#skF_5'),
inference(splitRight,[status(thm)],[c_6]) ).
tff(c_39,plain,
( ( $difference($sum('#skF_4','#skF_5'),'#skF_5') != '#skF_4' )
| ( $difference($sum('#skF_4','#skF_5'),'#skF_4') != '#skF_5' )
| ( $difference('#skF_3','#skF_1') = '#skF_2' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_35,c_35,c_2]) ).
tff(c_40,plain,
( ( $sum('#skF_4',$difference('#skF_5','#skF_5')) != '#skF_4' )
| ( $sum('#skF_4',$difference('#skF_5','#skF_4')) != '#skF_5' )
| ( $difference('#skF_3','#skF_1') = '#skF_2' ) ),
inference(backgroundSimplification,[status(thm),theory('LRA')],[c_39]) ).
tff(c_41,plain,
$sum('#skF_4',$difference('#skF_5','#skF_4')) != '#skF_5',
inference(splitLeft,[status(thm)],[c_40]) ).
tff(c_46,plain,
$false,
inference(close,[status(thm),theory('LRA')],[c_41]) ).
tff(c_47,plain,
( ( $sum('#skF_4',$difference('#skF_5','#skF_5')) != '#skF_4' )
| ( $difference('#skF_3','#skF_1') = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_40]) ).
tff(c_49,plain,
$sum('#skF_4',$difference('#skF_5','#skF_5')) != '#skF_4',
inference(splitLeft,[status(thm)],[c_47]) ).
tff(c_50,plain,
$false,
inference(close,[status(thm),theory('LRA')],[c_49]) ).
tff(c_51,plain,
$difference('#skF_3','#skF_1') = '#skF_2',
inference(splitRight,[status(thm)],[c_47]) ).
tff(c_36,plain,
$difference('#skF_3','#skF_2') != '#skF_1',
inference(splitRight,[status(thm)],[c_6]) ).
tff(c_53,plain,
$false,
inference(close,[status(thm),theory('LRA')],[c_51,c_36]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM907_1 : TPTP v9.0.0. Bugfixed v5.4.0.
% 0.03/0.13 % 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
% 0.13/0.34 % Computer : n003.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Apr 8 15:40:33 EDT 2025
% 0.13/0.34 % CPUTime :
% 2.90/1.86 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.90/1.86
% 2.90/1.86 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------