TSTP Solution File: ARI282_1 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : ARI282_1 : TPTP v8.1.2. Released v5.0.0.
% 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 : n027.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 10:33:32 EDT 2023
% Result : Theorem 2.15s 1.45s
% Output : CNFRefutation 2.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 2
% Syntax : Number of formulae : 6 ( 4 unt; 1 typ; 0 def)
% Number of atoms : 6 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 3 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number arithmetic : 9 ( 0 atm; 2 fun; 7 num; 0 var)
% Number of types : 2 ( 0 usr; 1 ari)
% Number of type conns : 1 ( 1 >; 0 *; 0 +; 0 <<)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 4 ( 0 usr; 3 con; 0-2 aty)
% Number of variables : 0 (; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ p > #nlpp
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(p,type,
p: $rat > $o ).
tff(f_31,negated_conjecture,
~ ( p($difference(5/12,1/12))
=> p(1/3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rat_difference_problem_10) ).
tff(c_4,plain,
p($difference(5/12,1/12)),
inference(cnfTransformation,[status(thm)],[f_31]) ).
tff(c_5,plain,
p(1/3),
inference(backgroundSimplification,[status(thm),theory('LRFIA')],[c_4]) ).
tff(c_2,plain,
~ p(1/3),
inference(cnfTransformation,[status(thm)],[f_31]) ).
tff(c_7,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_5,c_2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ARI282_1 : TPTP v8.1.2. Released v5.0.0.
% 0.00/0.13 % 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 : n027.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 : Fri Aug 4 00:32:39 EDT 2023
% 0.13/0.34 % CPUTime :
% 2.15/1.45 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.15/1.45
% 2.15/1.45 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.35/1.49
% 2.35/1.49 Inference rules
% 2.35/1.49 ----------------------
% 2.35/1.49 #Ref : 0
% 2.35/1.49 #Sup : 0
% 2.35/1.49 #Fact : 0
% 2.35/1.49 #Define : 0
% 2.35/1.49 #Split : 0
% 2.35/1.49 #Chain : 0
% 2.35/1.49 #Close : 0
% 2.35/1.49
% 2.35/1.49 Ordering : LPO
% 2.35/1.49
% 2.35/1.49 Simplification rules
% 2.35/1.49 ----------------------
% 2.35/1.49 #Subsume : 1
% 2.35/1.49 #Demod : 1
% 2.35/1.49 #Tautology : 0
% 2.35/1.49 #SimpNegUnit : 0
% 2.35/1.49 #BackRed : 0
% 2.35/1.49
% 2.35/1.49 #Partial instantiations: 0
% 2.35/1.49 #Strategies tried : 1
% 2.35/1.49
% 2.35/1.49 Timing (in seconds)
% 2.35/1.49 ----------------------
% 2.35/1.49 Preprocessing : 0.40
% 2.35/1.49 Parsing : 0.23
% 2.35/1.49 CNF conversion : 0.01
% 2.35/1.49 Main loop : 0.04
% 2.35/1.49 Inferencing : 0.00
% 2.35/1.49 Reduction : 0.02
% 2.35/1.49 Demodulation : 0.01
% 2.35/1.49 BG Simplification : 0.01
% 2.35/1.49 Subsumption : 0.02
% 2.35/1.49 Abstraction : 0.00
% 2.35/1.49 MUC search : 0.00
% 2.35/1.49 Cooper : 0.00
% 2.35/1.49 Total : 0.50
% 2.35/1.49 Index Insertion : 0.00
% 2.35/1.49 Index Deletion : 0.00
% 2.35/1.49 Index Matching : 0.00
% 2.35/1.49 BG Taut test : 0.00
%------------------------------------------------------------------------------