TSTP Solution File: ARI489_1 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : ARI489_1 : TPTP v8.1.2. Bugfixed 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 : n024.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 : Tue Aug 22 10:33:52 EDT 2023
% Result : Theorem 2.65s 1.82s
% Output : CNFRefutation 2.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 1
% Syntax : Number of formulae : 4 ( 3 unt; 0 typ; 0 def)
% Number of atoms : 5 ( 1 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 4 ( 3 ~; 0 |; 1 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number arithmetic : 12 ( 3 atm; 2 fun; 4 num; 3 var)
% Number of types : 1 ( 0 usr; 1 ari)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 0 usr; 2 con; 0-2 aty)
% Number of variables : 3 (; 1 !; 2 ?; 3 :)
% Comments :
%------------------------------------------------------------------------------
%$ #nlpp
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(f_33,negated_conjecture,
~ ? [Xa: $real,Ya: $real] :
( ( $sum(Xa,1) = Ya )
& $less(Xa,Ya) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',real_combined_problem_4) ).
tff(c_2,plain,
! [X_1a: $real] : ~ $less(X_1a,$sum(X_1a,1)),
inference(cnfTransformation,[status(thm)],[f_33]) ).
tff(c_3,plain,
~ $less(0,1),
inference(quantifierElimination,[status(thm),theory('LFA')],[c_2]) ).
tff(c_4,plain,
$false,
inference(backgroundSimplification,[status(thm),theory('LFA')],[c_3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : ARI489_1 : TPTP v8.1.2. Bugfixed v5.1.0.
% 0.12/0.14 % 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
% 0.14/0.35 % Computer : n024.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri Aug 4 00:11:00 EDT 2023
% 0.14/0.35 % CPUTime :
% 2.65/1.82 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.65/1.83
% 2.65/1.83 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.85/1.87
% 2.85/1.87 Inference rules
% 2.85/1.87 ----------------------
% 2.85/1.87 #Ref : 0
% 2.85/1.87 #Sup : 0
% 2.85/1.87 #Fact : 0
% 2.85/1.87 #Define : 0
% 2.85/1.87 #Split : 0
% 2.85/1.87 #Chain : 0
% 2.85/1.87 #Close : 0
% 2.85/1.87
% 2.85/1.87 Ordering : LPO
% 2.85/1.87
% 2.85/1.87 Simplification rules
% 2.85/1.87 ----------------------
% 2.85/1.87 #Subsume : 0
% 2.85/1.87 #Demod : 0
% 2.85/1.87 #Tautology : 0
% 2.85/1.87 #SimpNegUnit : 0
% 2.85/1.87 #BackRed : 0
% 2.85/1.87
% 2.85/1.87 #Partial instantiations: 0
% 2.85/1.87 #Strategies tried : 1
% 2.85/1.87
% 2.85/1.87 Timing (in seconds)
% 2.85/1.87 ----------------------
% 2.85/1.87 Preprocessing : 0.67
% 2.85/1.87 Parsing : 0.34
% 2.85/1.87 CNF conversion : 0.02
% 2.85/1.87 Main loop : 0.04
% 2.85/1.87 Inferencing : 0.00
% 2.85/1.87 Reduction : 0.01
% 2.85/1.87 Demodulation : 0.00
% 2.85/1.87 BG Simplification : 0.02
% 2.85/1.87 Subsumption : 0.00
% 2.85/1.87 Abstraction : 0.00
% 2.85/1.87 MUC search : 0.00
% 2.85/1.87 Cooper : 0.00
% 2.85/1.87 Total : 0.77
% 2.85/1.87 Index Insertion : 0.00
% 2.85/1.87 Index Deletion : 0.00
% 2.85/1.87 Index Matching : 0.00
% 2.85/1.87 BG Taut test : 0.00
%------------------------------------------------------------------------------