TSTP Solution File: NUM920_1 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : NUM920_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/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 10:53:04 EDT 2023
% Result : Theorem 2.01s 1.49s
% Output : CNFRefutation 2.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 2
% Syntax : Number of formulae : 5 ( 2 unt; 0 typ; 0 def)
% Number of atoms : 12 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 11 ( 4 ~; 2 |; 3 &)
% ( 1 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number arithmetic : 28 ( 9 atm; 3 fun; 6 num; 10 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 : 3 ( 0 usr; 2 con; 0-2 aty)
% Number of variables : 10 (; 7 !; 3 ?; 10 :)
% Comments :
%------------------------------------------------------------------------------
%$ #nlpp
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(f_37,negated_conjecture,
~ ~ ? [Ua: $int] :
( $less(0,Ua)
& ! [Va: $int] :
( $less(Va,Ua)
=> $less($sum(Va,1),Ua) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
tff(f_232,plain,
! [Va: $int] :
? [Ua: $int] :
( $less(0,Ua)
& ! [Va: $int] :
( ~ $less(Va,Ua)
| $less($sum(Va,1),Ua) ) ),
inference(cnfTransformation,[status(thm)],[f_37]) ).
tff(f_235,plain,
! [Va: $int,Ua: $int] :
( ! [Va: $int] :
? [Ua: $int] :
( $less(0,Ua)
& ! [Va: $int] :
( ~ $less(Va,Ua)
| $less($sum(Va,1),Ua) ) )
<=> $false ),
inference(theorem,[status(thm),theory('LIA')],]) ).
tff(f_236,plain,
$false,
inference(equivalence,[status(thm)],[f_232,f_235]) ).
tff(c_2,plain,
$false,
inference(cnfTransformation,[status(thm)],[f_236]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : NUM920_1 : TPTP v8.1.2. Released v5.0.0.
% 0.08/0.14 % 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 : Thu Aug 3 14:55:30 EDT 2023
% 0.14/0.36 % CPUTime :
% 2.01/1.49 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.01/1.49
% 2.01/1.49 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.43/1.53
% 2.43/1.53 Inference rules
% 2.43/1.53 ----------------------
% 2.43/1.53 #Ref : 0
% 2.43/1.53 #Sup : 0
% 2.43/1.53 #Fact : 0
% 2.43/1.53 #Define : 0
% 2.43/1.53 #Split : 0
% 2.43/1.53 #Chain : 0
% 2.43/1.53 #Close : 0
% 2.43/1.53
% 2.43/1.53 Ordering : LPO
% 2.43/1.53
% 2.43/1.53 Simplification rules
% 2.43/1.53 ----------------------
% 2.43/1.53 #Subsume : 0
% 2.43/1.53 #Demod : 0
% 2.43/1.53 #Tautology : 0
% 2.43/1.53 #SimpNegUnit : 0
% 2.43/1.53 #BackRed : 0
% 2.43/1.53
% 2.43/1.53 #Partial instantiations: 0
% 2.43/1.53 #Strategies tried : 1
% 2.43/1.53
% 2.43/1.53 Timing (in seconds)
% 2.43/1.53 ----------------------
% 2.43/1.53 Preprocessing : 0.43
% 2.43/1.53 Parsing : 0.24
% 2.43/1.53 CNF conversion : 0.02
% 2.43/1.53 Main loop : 0.03
% 2.43/1.54 Inferencing : 0.00
% 2.43/1.54 Reduction : 0.00
% 2.43/1.54 Demodulation : 0.00
% 2.43/1.54 BG Simplification : 0.00
% 2.43/1.54 Subsumption : 0.02
% 2.43/1.54 Abstraction : 0.00
% 2.43/1.54 MUC search : 0.00
% 2.43/1.54 Cooper : 0.04
% 2.43/1.54 Total : 0.52
% 2.43/1.54 Index Insertion : 0.00
% 2.43/1.54 Index Deletion : 0.00
% 2.43/1.54 Index Matching : 0.00
% 2.43/1.54 BG Taut test : 0.00
%------------------------------------------------------------------------------