TSTP Solution File: DAT066_1 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : DAT066_1 : TPTP v8.1.2. Released v5.5.0.
% 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 : n003.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 10:37:05 EDT 2023
% Result : Theorem 3.44s 1.95s
% Output : CNFRefutation 3.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 14
% Syntax : Number of formulae : 27 ( 13 unt; 12 typ; 0 def)
% Number of atoms : 17 ( 16 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 7 ( 5 ~; 1 |; 0 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number arithmetic : 23 ( 0 atm; 9 fun; 7 num; 7 var)
% Number of types : 3 ( 1 usr; 1 ari)
% Number of type conns : 9 ( 6 >; 3 *; 0 +; 0 <<)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 10 usr; 6 con; 0-2 aty)
% Number of variables : 10 (; 10 !; 0 ?; 10 :)
% Comments :
%------------------------------------------------------------------------------
%$ lsls > sel > app > #nlpp > toop > length > get > empty > #skF_3
%Foreground sorts:
tff(heap,type,
heap: $tType ).
%Background operators:
tff('#skE_1',type,
'#skE_1': $int ).
tff('#skF_2',type,
'#skF_2': $int ).
tff('#skF_1',type,
'#skF_1': $int ).
%Foreground operators:
tff(toop,type,
toop: heap > $int ).
tff(lsls,type,
lsls: ( heap * heap ) > $o ).
tff(empty,type,
empty: heap ).
tff('#skF_3',type,
'#skF_3': heap ).
tff(get,type,
get: heap > heap ).
tff(sel,type,
sel: ( heap * $int ) > $int ).
tff(app,type,
app: ( heap * $int ) > heap ).
tff(length,type,
length: heap > $int ).
tff(f_113,negated_conjecture,
~ ! [Na: $int,Ma: $int,H: heap] :
( ( sel(app(H,Na),Ma) = Na )
| ( Ma != $sum(1,length(H)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',th_1) ).
tff(f_62,axiom,
! [H: heap,Ma: $int,Na: $int] :
( ( Ma = $sum(1,length(H)) )
=> ( sel(app(H,Na),Ma) = Na ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/DAT006_0.ax',ax_2) ).
tff(c_46,plain,
sel(app('#skF_3','#skF_1'),'#skF_2') != '#skF_1',
inference(cnfTransformation,[status(thm)],[f_113]) ).
tff(c_109,plain,
sel(app('#skF_3','#skF_1'),'#skF_2') = '#skE_1',
inference(define,[status(thm),theory(equality)],[c_46]) ).
tff(c_62,plain,
sel(app('#skF_3','#skF_1'),'#skF_2') != '#skF_1',
inference(cnfTransformation,[status(thm)],[f_113]) ).
tff(c_116,plain,
'#skF_1' != '#skE_1',
inference(demodulation,[status(thm),theory(equality)],[c_109,c_62]) ).
tff(c_39,plain,
$sum(1,length('#skF_3')) = '#skF_2',
inference(cnfTransformation,[status(thm)],[f_113]) ).
tff(c_47,plain,
length('#skF_3') = $sum($uminus(1),'#skF_2'),
inference(backgroundSimplification,[status(thm),theory('LRFIA')],[c_39]) ).
tff(c_203,plain,
! [H_72: heap,N_73a: $int] : ( sel(app(H_72,N_73a),$sum(1,length(H_72))) = N_73a ),
inference(cnfTransformation,[status(thm)],[f_62]) ).
tff(c_227,plain,
! [N_73a: $int] : ( sel(app('#skF_3',N_73a),$sum(1,$sum($uminus(1),'#skF_2'))) = N_73a ),
inference(superposition,[status(thm),theory(equality)],[c_47,c_203]) ).
tff(c_247,plain,
! [N_78a: $int] : ( sel(app('#skF_3',N_78a),'#skF_2') = N_78a ),
inference(backgroundSimplification,[status(thm),theory('LIA')],[c_227]) ).
tff(c_115,plain,
sel(app('#skF_3','#skF_1'),'#skF_2') = '#skE_1',
inference(define,[status(thm),theory(equality)],[c_46]) ).
tff(c_263,plain,
'#skF_1' = '#skE_1',
inference(superposition,[status(thm),theory(equality)],[c_247,c_115]) ).
tff(c_265,plain,
'#skF_1' = '#skE_1',
inference(backgroundSimplification,[status(thm),theory('LIA')],[c_263]) ).
tff(c_272,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_116,c_265]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : DAT066_1 : TPTP v8.1.2. Released v5.5.0.
% 0.12/0.13 % 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 : n003.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 : Thu Aug 3 13:16:53 EDT 2023
% 0.13/0.35 % CPUTime :
% 3.44/1.95 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.44/1.95
% 3.44/1.95 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.44/1.97
% 3.44/1.97 Inference rules
% 3.44/1.97 ----------------------
% 3.44/1.97 #Ref : 2
% 3.44/1.97 #Sup : 34
% 3.44/1.97 #Fact : 0
% 3.44/1.97 #Define : 1
% 3.44/1.97 #Split : 0
% 3.44/1.97 #Chain : 0
% 3.44/1.97 #Close : 0
% 3.44/1.97
% 3.44/1.97 Ordering : LPO
% 3.44/1.97
% 3.44/1.97 Simplification rules
% 3.44/1.97 ----------------------
% 3.44/1.97 #Subsume : 1
% 3.44/1.97 #Demod : 3
% 3.44/1.97 #Tautology : 27
% 3.44/1.97 #SimpNegUnit : 3
% 3.44/1.97 #BackRed : 0
% 3.44/1.97
% 3.44/1.97 #Partial instantiations: 0
% 3.44/1.97 #Strategies tried : 1
% 3.44/1.97
% 3.44/1.97 Timing (in seconds)
% 3.44/1.97 ----------------------
% 3.44/1.98 Preprocessing : 0.65
% 3.44/1.98 Parsing : 0.32
% 3.44/1.98 CNF conversion : 0.04
% 3.44/1.98 Main loop : 0.25
% 3.44/1.98 Inferencing : 0.08
% 3.44/1.98 Reduction : 0.07
% 3.44/1.98 Demodulation : 0.05
% 3.44/1.98 BG Simplification : 0.05
% 3.44/1.98 Subsumption : 0.05
% 3.44/1.98 Abstraction : 0.01
% 3.44/1.98 MUC search : 0.00
% 3.44/1.98 Cooper : 0.01
% 3.44/1.98 Total : 0.94
% 3.44/1.98 Index Insertion : 0.00
% 3.44/1.98 Index Deletion : 0.00
% 3.44/1.98 Index Matching : 0.00
% 3.44/1.98 BG Taut test : 0.00
%------------------------------------------------------------------------------