TSTP Solution File: ARI278_1 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : ARI278_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 : n028.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 10:33:31 EDT 2023
% Result : Theorem 2.19s 1.41s
% Output : CNFRefutation 2.19s
% 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 ( 5 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 3 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number arithmetic : 10 ( 0 atm; 2 fun; 7 num; 1 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 : 5 ( 1 usr; 4 con; 0-2 aty)
% Number of variables : 1 (; 1 !; 0 ?; 1 :)
% Comments :
%------------------------------------------------------------------------------
%$ #nlpp
%Foreground sorts:
%Background operators:
tff('#skF_1',type,
'#skF_1': $rat ).
%Foreground operators:
tff(f_32,negated_conjecture,
~ ! [Xa: $rat] :
( ( $difference(5/12,1/12) = Xa )
=> ( Xa = 1/3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rat_difference_problem_6) ).
tff(c_2,plain,
'#skF_1' = $difference(5/12,1/12),
inference(cnfTransformation,[status(thm)],[f_32]) ).
tff(c_3,plain,
'#skF_1' = 1/3,
inference(backgroundSimplification,[status(thm),theory('LRFIA')],[c_2]) ).
tff(c_1,plain,
'#skF_1' != 1/3,
inference(cnfTransformation,[status(thm)],[f_32]) ).
tff(c_5,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_3,c_1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : ARI278_1 : TPTP v8.1.2. Released v5.0.0.
% 0.00/0.14 % 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
% 0.14/0.35 % Computer : n028.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 00:25:24 EDT 2023
% 0.14/0.36 % CPUTime :
% 2.19/1.41 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.19/1.41
% 2.19/1.41 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.19/1.45
% 2.19/1.45 Inference rules
% 2.19/1.45 ----------------------
% 2.19/1.45 #Ref : 0
% 2.19/1.45 #Sup : 0
% 2.19/1.45 #Fact : 0
% 2.19/1.45 #Define : 0
% 2.19/1.45 #Split : 0
% 2.19/1.45 #Chain : 0
% 2.19/1.45 #Close : 0
% 2.19/1.45
% 2.19/1.45 Ordering : LPO
% 2.19/1.45
% 2.19/1.45 Simplification rules
% 2.19/1.45 ----------------------
% 2.19/1.45 #Subsume : 1
% 2.19/1.45 #Demod : 1
% 2.19/1.45 #Tautology : 0
% 2.19/1.45 #SimpNegUnit : 0
% 2.19/1.45 #BackRed : 0
% 2.19/1.45
% 2.19/1.45 #Partial instantiations: 0
% 2.19/1.45 #Strategies tried : 1
% 2.19/1.45
% 2.19/1.45 Timing (in seconds)
% 2.19/1.45 ----------------------
% 2.19/1.45 Preprocessing : 0.40
% 2.19/1.45 Parsing : 0.24
% 2.19/1.45 CNF conversion : 0.02
% 2.19/1.45 Main loop : 0.04
% 2.19/1.46 Inferencing : 0.00
% 2.19/1.46 Reduction : 0.02
% 2.19/1.46 Demodulation : 0.02
% 2.19/1.46 BG Simplification : 0.01
% 2.19/1.46 Subsumption : 0.02
% 2.19/1.46 Abstraction : 0.00
% 2.19/1.46 MUC search : 0.00
% 2.19/1.46 Cooper : 0.00
% 2.19/1.46 Total : 0.50
% 2.19/1.46 Index Insertion : 0.00
% 2.19/1.46 Index Deletion : 0.00
% 2.19/1.46 Index Matching : 0.00
% 2.19/1.46 BG Taut test : 0.00
%------------------------------------------------------------------------------