TSTP Solution File: ARI612_1 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : ARI612_1 : TPTP v8.1.2. Released 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 : n029.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 10:34:06 EDT 2023
% Result : Theorem 2.76s 1.69s
% Output : CNFRefutation 2.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 16 ( 8 unt; 3 typ; 0 def)
% Number of atoms : 25 ( 0 equ)
% Maximal formula atoms : 8 ( 1 avg)
% Number of connectives : 22 ( 10 ~; 5 |; 3 &)
% ( 2 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number arithmetic : 34 ( 14 atm; 0 fun; 14 num; 6 var)
% Number of types : 2 ( 0 usr; 1 ari)
% Number of type conns : 2 ( 2 >; 0 *; 0 +; 0 <<)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 1 usr; 5 con; 0-0 aty)
% Number of variables : 6 (; 6 !; 0 ?; 6 :)
% Comments :
%------------------------------------------------------------------------------
%$ q > p > #nlpp
%Foreground sorts:
%Background operators:
tff('#skF_1',type,
'#skF_1': $int ).
%Foreground operators:
tff(q,type,
q: $int > $o ).
tff(p,type,
p: $int > $o ).
tff(f_46,negated_conjecture,
~ ( ( ! [Xa: $int] :
( ( $less(5,Xa)
& $less(Xa,15) )
<=> p(Xa) )
& ! [Xa: $int] :
( ( $less(8,Xa)
& $less(Xa,12) )
<=> q(Xa) ) )
=> ! [Xa: $int] :
( q(Xa)
=> p(Xa) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',interv_8_12_subset_5_15) ).
tff(c_45,plain,
! [X_13a: $int] :
( p(X_13a)
| ~ $less(5,X_13a)
| ~ $less(X_13a,15) ),
inference(cnfTransformation,[status(thm)],[f_46]) ).
tff(c_24,plain,
~ p('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_46]) ).
tff(c_60,plain,
( ~ $less(5,'#skF_1')
| ~ $less('#skF_1',15) ),
inference(resolution,[status(thm)],[c_45,c_24]) ).
tff(c_73,plain,
~ $less('#skF_1',15),
inference(splitLeft,[status(thm)],[c_60]) ).
tff(c_20,plain,
q('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_46]) ).
tff(c_38,plain,
! [X_11a: $int] :
( ~ q(X_11a)
| $less(X_11a,12) ),
inference(cnfTransformation,[status(thm)],[f_46]) ).
tff(c_43,plain,
$less('#skF_1',12),
inference(resolution,[status(thm)],[c_20,c_38]) ).
tff(c_74,plain,
$false,
inference(close,[status(thm),theory('LIA')],[c_73,c_43]) ).
tff(c_77,plain,
~ $less(5,'#skF_1'),
inference(splitRight,[status(thm)],[c_60]) ).
tff(c_31,plain,
! [X_9a: $int] :
( ~ q(X_9a)
| $less(8,X_9a) ),
inference(cnfTransformation,[status(thm)],[f_46]) ).
tff(c_36,plain,
$less(8,'#skF_1'),
inference(resolution,[status(thm)],[c_20,c_31]) ).
tff(c_79,plain,
$false,
inference(close,[status(thm),theory('LIA')],[c_77,c_36]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ARI612_1 : TPTP v8.1.2. Released v5.1.0.
% 0.00/0.13 % 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
% 0.13/0.35 % Computer : n029.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Fri Aug 4 00:24:53 EDT 2023
% 0.13/0.35 % CPUTime :
% 2.76/1.69 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.76/1.69
% 2.76/1.69 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.76/1.73
% 2.76/1.73 Inference rules
% 2.76/1.73 ----------------------
% 2.76/1.73 #Ref : 0
% 2.76/1.73 #Sup : 7
% 2.76/1.73 #Fact : 0
% 2.76/1.73 #Define : 0
% 2.76/1.73 #Split : 1
% 2.76/1.73 #Chain : 0
% 2.76/1.73 #Close : 2
% 2.76/1.73
% 2.76/1.73 Ordering : LPO
% 2.76/1.73
% 2.76/1.73 Simplification rules
% 2.76/1.73 ----------------------
% 2.76/1.73 #Subsume : 0
% 2.76/1.73 #Demod : 0
% 2.76/1.73 #Tautology : 4
% 2.76/1.73 #SimpNegUnit : 0
% 2.76/1.73 #BackRed : 0
% 2.76/1.73
% 2.76/1.73 #Partial instantiations: 0
% 2.76/1.73 #Strategies tried : 1
% 2.76/1.73
% 2.76/1.73 Timing (in seconds)
% 2.76/1.73 ----------------------
% 2.76/1.73 Preprocessing : 0.46
% 2.98/1.73 Parsing : 0.25
% 2.98/1.73 CNF conversion : 0.03
% 2.98/1.73 Main loop : 0.20
% 2.98/1.73 Inferencing : 0.05
% 2.98/1.73 Reduction : 0.04
% 2.98/1.73 Demodulation : 0.03
% 2.98/1.73 BG Simplification : 0.03
% 2.98/1.73 Subsumption : 0.04
% 2.98/1.73 Abstraction : 0.01
% 2.98/1.73 MUC search : 0.00
% 2.98/1.73 Cooper : 0.03
% 2.98/1.73 Total : 0.71
% 2.98/1.73 Index Insertion : 0.00
% 2.98/1.73 Index Deletion : 0.00
% 2.98/1.73 Index Matching : 0.00
% 2.98/1.73 BG Taut test : 0.00
%------------------------------------------------------------------------------