%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : ARI604_1 : TPTP v9.0.0. Released v5.1.0.
% 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 05:40:40 PM UTC 2025
% Result : Theorem 2.67s 1.64s
% Output : CNFRefutation 2.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 1
% Syntax : Number of formulae : 16 ( 15 unt; 0 typ; 0 def)
% Number of atoms : 17 ( 4 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 7 ( 6 ~; 0 |; 0 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number arithmetic : 36 ( 12 atm; 15 fun; 5 num; 4 var)
% Number of types : 1 ( 0 usr; 1 ari)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 4 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 4 usr; 4 con; 0-2 aty)
% Number of variables : 4 ( 4 !; 0 ?; 4 :)
% Comments :
%------------------------------------------------------------------------------
%$ #nlpp > f
%Foreground sorts:
%Background operators:
tff('#skE_2',type,
'#skE_2': $int ).
tff('#skE_1',type,
'#skE_1': $int ).
tff('#skF_1',type,
'#skF_1': $int ).
%Foreground operators:
tff(f,type,
f: $int > $int ).
tff(f_33,negated_conjecture,
~ ( ! [Xa: $int] : $greater(f(Xa),Xa)
=> ! [Xa: $int] : $less($uminus(f($uminus(Xa))),f(Xa)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fX_gt_X_implies_negfnegX_lt_fX) ).
tff(c_2,plain,
~ $less($uminus(f($uminus('#skF_1'))),f('#skF_1')),
inference(cnfTransformation,[status(thm)],[f_33]) ).
tff(c_9,plain,
~ $less(0,$sum(f($uminus('#skF_1')),f('#skF_1'))),
inference(backgroundSimplification,[status(thm),theory('LRFIA')],[c_2]) ).
tff(c_12,plain,
~ $less(0,$sum(f('#skF_1'),f($uminus('#skF_1')))),
inference(backgroundSimplification,[status(thm),theory('LIA')],[c_9]) ).
tff(c_51,plain,
f($uminus('#skF_1')) = '#skE_2',
inference(define,[status(thm),theory(equality)],[c_12]) ).
tff(c_5,plain,
! [X_1a: $int] : $greater(f(X_1a),X_1a),
inference(cnfTransformation,[status(thm)],[f_33]) ).
tff(c_7,plain,
! [X_1a: $int] : $less(X_1a,f(X_1a)),
inference(backgroundSimplification,[status(thm),theory('LRFIA')],[c_5]) ).
tff(c_73,plain,
$less($uminus('#skF_1'),'#skE_2'),
inference(superposition,[status(thm),theory(equality)],[c_51,c_7]) ).
tff(c_75,plain,
$less(0,$sum('#skE_2','#skF_1')),
inference(backgroundSimplification,[status(thm),theory('LIA')],[c_73]) ).
tff(c_17,plain,
f($uminus('#skF_1')) = '#skE_2',
inference(define,[status(thm),theory(equality)],[c_12]) ).
tff(c_16,plain,
f('#skF_1') = '#skE_1',
inference(define,[status(thm),theory(equality)],[c_12]) ).
tff(c_14,plain,
~ $less(0,$sum(f('#skF_1'),f($uminus('#skF_1')))),
inference(backgroundSimplification,[status(thm),theory('LIA')],[c_9]) ).
tff(c_28,plain,
~ $less(0,$sum('#skE_1','#skE_2')),
inference(demodulation,[status(thm),theory(equality)],[c_17,c_16,c_14]) ).
tff(c_31,plain,
f('#skF_1') = '#skE_1',
inference(define,[status(thm),theory(equality)],[c_12]) ).
tff(c_45,plain,
$less('#skF_1','#skE_1'),
inference(superposition,[status(thm),theory(equality)],[c_31,c_7]) ).
tff(c_84,plain,
$false,
inference(close,[status(thm),theory('LIA')],[c_75,c_28,c_45]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ARI604_1 : TPTP v9.0.0. Released v5.1.0.
% 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
% 0.12/0.32 % Computer : n005.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Mon Apr 7 15:14:27 EDT 2025
% 0.12/0.33 % CPUTime :
% 2.67/1.64 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.67/1.64
% 2.67/1.64 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------