TSTP Solution File: ARI735_1 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : ARI735_1 : TPTP v8.1.2. Released v6.4.0.
% 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 : n021.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 10:34:18 EDT 2023
% Result : Theorem 2.26s 1.55s
% Output : CNFRefutation 2.60s
% 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 : 17 ( 7 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 20 ( 8 ~; 2 |; 6 &)
% ( 1 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number arithmetic : 32 ( 6 atm; 3 fun; 13 num; 10 var)
% Number of types : 1 ( 0 usr; 1 ari)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 4 ( 0 usr; 2 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_43,negated_conjecture,
~ ! [Ia: $int] :
( $greatereq(Ia,0)
=> ( ( ( Ia = 0 )
=> $true )
& ( ( Ia != 0 )
=> ? [I_1a: $int] :
( ( I_1a = $difference(Ia,1) )
& $greatereq(I_1a,0) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula) ).
tff(f_357,plain,
! [I_1a: $int] :
? [Ia: $int] :
( $greatereq(Ia,0)
& ( Ia != 0 )
& ! [I_1a: $int] :
( ( I_1a != $difference(Ia,1) )
| ~ $greatereq(I_1a,0) ) ),
inference(cnfTransformation,[status(thm)],[f_43]) ).
tff(f_360,plain,
! [I_1a: $int,Ia: $int] :
( ! [I_1a: $int] :
? [Ia: $int] :
( $greatereq(Ia,0)
& ( Ia != 0 )
& ! [I_1a: $int] :
( ( I_1a != $difference(Ia,1) )
| ~ $greatereq(I_1a,0) ) )
<=> $false ),
inference(theorem,[status(thm),theory('LIA')],]) ).
tff(f_361,plain,
$false,
inference(equivalence,[status(thm)],[f_357,f_360]) ).
tff(c_2,plain,
$false,
inference(cnfTransformation,[status(thm)],[f_361]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ARI735_1 : TPTP v8.1.2. Released v6.4.0.
% 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 : n021.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 00:12:06 EDT 2023
% 0.13/0.34 % CPUTime :
% 2.26/1.55 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.26/1.55
% 2.26/1.55 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.60/1.59
% 2.60/1.59 Inference rules
% 2.60/1.59 ----------------------
% 2.60/1.59 #Ref : 0
% 2.60/1.59 #Sup : 0
% 2.60/1.59 #Fact : 0
% 2.60/1.59 #Define : 0
% 2.60/1.59 #Split : 0
% 2.60/1.59 #Chain : 0
% 2.60/1.59 #Close : 0
% 2.60/1.59
% 2.60/1.59 Ordering : LPO
% 2.60/1.59
% 2.60/1.59 Simplification rules
% 2.60/1.59 ----------------------
% 2.60/1.59 #Subsume : 0
% 2.60/1.59 #Demod : 0
% 2.60/1.59 #Tautology : 0
% 2.60/1.59 #SimpNegUnit : 0
% 2.60/1.59 #BackRed : 0
% 2.60/1.59
% 2.60/1.59 #Partial instantiations: 0
% 2.60/1.59 #Strategies tried : 1
% 2.60/1.59
% 2.60/1.59 Timing (in seconds)
% 2.60/1.59 ----------------------
% 2.60/1.60 Preprocessing : 0.45
% 2.60/1.60 Parsing : 0.25
% 2.60/1.60 CNF conversion : 0.02
% 2.60/1.60 Main loop : 0.03
% 2.60/1.60 Inferencing : 0.00
% 2.60/1.60 Reduction : 0.00
% 2.60/1.60 Demodulation : 0.00
% 2.60/1.60 BG Simplification : 0.00
% 2.60/1.60 Subsumption : 0.02
% 2.60/1.60 Abstraction : 0.00
% 2.60/1.60 MUC search : 0.00
% 2.60/1.60 Cooper : 0.05
% 2.60/1.60 Total : 0.53
% 2.60/1.60 Index Insertion : 0.00
% 2.60/1.60 Index Deletion : 0.00
% 2.60/1.60 Index Matching : 0.00
% 2.60/1.60 BG Taut test : 0.00
%------------------------------------------------------------------------------