%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : ANA139_1 : TPTP v9.0.0. Released v8.2.0.
% 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 : n022.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 05:37:48 PM UTC 2025
% Result : Theorem 3.15s 1.92s
% Output : CNFRefutation 3.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 1
% Syntax : Number of formulae : 12 ( 8 unt; 0 typ; 0 def)
% Number of atoms : 27 ( 1 equ)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 31 ( 16 ~; 5 |; 4 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 63 ( 23 atm; 17 fun; 16 num; 7 var)
% Number of types : 1 ( 0 usr; 1 ari)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 5 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 4 usr; 4 con; 0-2 aty)
% Number of variables : 7 ( 6 !; 1 ?; 7 :)
% Comments :
%------------------------------------------------------------------------------
%$ #nlpp > #skF_2
%Foreground sorts:
%Background operators:
tff('#skF_1',type,
'#skF_1': $real ).
tff(c,type,
c: $real ).
tff(a,type,
a: $real ).
%Foreground operators:
tff('#skF_2',type,
'#skF_2': $real > $real ).
tff(f_59,negated_conjecture,
~ ! [Epsilona: $real] :
( $less(0,Epsilona)
=> ? [Deltaa: $real] :
( $less(0,Deltaa)
& ! [Xa: $real] :
( ( ( Xa != a )
& ( $greatereq($difference(Xa,a),0)
=> $less($difference(Xa,a),Deltaa) )
& ( ~ $greatereq($difference(Xa,a),0)
=> $less($uminus($difference(Xa,a)),Deltaa) ) )
=> ( ( $greatereq($difference(c,c),0)
=> $less($difference(c,c),Epsilona) )
& ( ~ $greatereq($difference(c,c),0)
=> $less($uminus($difference(c,c)),Epsilona) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_1) ).
tff(c_11,plain,
! [Delta_4a: $real] :
( ~ $less(0,Delta_4a)
| ~ $greatereq($difference(c,c),0)
| ~ $less($difference(c,c),'#skF_1') ),
inference(cnfTransformation,[status(thm)],[f_59]) ).
tff(c_12,plain,
! [Delta_4a: $real] :
( ~ $less(0,Delta_4a)
| ~ $lesseq(0,$difference(c,c))
| ~ $less($difference(c,c),'#skF_1') ),
inference(backgroundSimplification,[status(thm),theory('LRFIA')],[c_11]) ).
tff(c_27,plain,
~ $less($difference(c,c),'#skF_1'),
inference(splitLeft,[status(thm)],[c_12]) ).
tff(c_1,plain,
$less(0,'#skF_1'),
inference(cnfTransformation,[status(thm)],[f_59]) ).
tff(c_2,plain,
~ $lesseq('#skF_1',0),
inference(backgroundSimplification,[status(thm),theory('LRFIA')],[c_1]) ).
tff(c_28,plain,
$false,
inference(close,[status(thm),theory('LFA')],[c_27,c_2]) ).
tff(c_29,plain,
! [Delta_4a: $real] :
( ~ $lesseq(0,$difference(c,c))
| ~ $less(0,Delta_4a) ),
inference(splitRight,[status(thm)],[c_12]) ).
tff(c_32,plain,
~ $lesseq(0,$difference(c,c)),
inference(splitLeft,[status(thm)],[c_29]) ).
tff(c_33,plain,
$false,
inference(close,[status(thm),theory('LFA')],[c_32]) ).
tff(c_34,plain,
! [Delta_4a: $real] : ~ $less(0,Delta_4a),
inference(splitRight,[status(thm)],[c_29]) ).
tff(c_38,plain,
$false,
inference(quantifierElimination,[status(thm),theory('LFA')],[c_34]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ANA139_1 : TPTP v9.0.0. Released v8.2.0.
% 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 : n022.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 : Mon Apr 7 15:00:20 EDT 2025
% 0.13/0.34 % CPUTime :
% 3.15/1.92 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.32/1.93
% 3.32/1.93 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------