TSTP Solution File: SWW413-1 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SWW413-1 : TPTP v8.1.2. Released v5.2.0.
% 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 : n012.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 11:07:13 EDT 2023
% Result : Unsatisfiable 7.11s 2.81s
% Output : CNFRefutation 7.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 15
% Syntax : Number of formulae : 23 ( 9 unt; 10 typ; 0 def)
% Number of atoms : 20 ( 8 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 14 ( 7 ~; 7 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 7 ( 4 >; 3 *; 0 +; 0 <<)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 18 (; 18 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ heap > sep > next > lseg > #nlpp > x4 > x3 > x2 > x1 > nil > emp
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(lseg,type,
lseg: ( $i * $i ) > $i ).
tff(sep,type,
sep: ( $i * $i ) > $i ).
tff(x3,type,
x3: $i ).
tff(x4,type,
x4: $i ).
tff(x1,type,
x1: $i ).
tff(heap,type,
heap: $i > $o ).
tff(emp,type,
emp: $i ).
tff(next,type,
next: ( $i * $i ) > $i ).
tff(nil,type,
nil: $i ).
tff(x2,type,
x2: $i ).
tff(f_126,axiom,
x3 != x2,
file(unknown,unknown) ).
tff(f_135,axiom,
~ heap(sep(lseg(x2,nil),emp)),
file(unknown,unknown) ).
tff(f_133,axiom,
heap(sep(lseg(x3,nil),sep(next(x2,x3),emp))),
file(unknown,unknown) ).
tff(f_52,axiom,
! [S,T,Sigma] : ( sep(S,sep(T,Sigma)) = sep(T,sep(S,Sigma)) ),
file(unknown,unknown) ).
tff(f_96,axiom,
! [X,Y,Z,Sigma] :
( ~ heap(sep(next(X,Y),sep(lseg(Y,Z),Sigma)))
| ( X = Y )
| heap(sep(lseg(X,Z),Sigma)) ),
file(unknown,unknown) ).
tff(c_28,plain,
x3 != x2,
inference(cnfTransformation,[status(thm)],[f_126]) ).
tff(c_38,plain,
~ heap(sep(lseg(x2,nil),emp)),
inference(cnfTransformation,[status(thm)],[f_135]) ).
tff(c_36,plain,
heap(sep(lseg(x3,nil),sep(next(x2,x3),emp))),
inference(cnfTransformation,[status(thm)],[f_133]) ).
tff(c_2,plain,
! [T_2,S_1,Sigma_3] : ( sep(T_2,sep(S_1,Sigma_3)) = sep(S_1,sep(T_2,Sigma_3)) ),
inference(cnfTransformation,[status(thm)],[f_52]) ).
tff(c_443,plain,
! [X_91,Z_92,Sigma_93,Y_94] :
( heap(sep(lseg(X_91,Z_92),Sigma_93))
| ( Y_94 = X_91 )
| ~ heap(sep(next(X_91,Y_94),sep(lseg(Y_94,Z_92),Sigma_93))) ),
inference(cnfTransformation,[status(thm)],[f_96]) ).
tff(c_4185,plain,
! [X_190,Z_191,Sigma_192,Y_193] :
( heap(sep(lseg(X_190,Z_191),Sigma_192))
| ( Y_193 = X_190 )
| ~ heap(sep(lseg(Y_193,Z_191),sep(next(X_190,Y_193),Sigma_192))) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_443]) ).
tff(c_4240,plain,
( heap(sep(lseg(x2,nil),emp))
| ( x3 = x2 ) ),
inference(resolution,[status(thm)],[c_36,c_4185]) ).
tff(c_4264,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_28,c_38,c_4240]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWW413-1 : TPTP v8.1.2. Released v5.2.0.
% 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 : n012.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 : Thu Aug 3 19:34:07 EDT 2023
% 0.13/0.34 % CPUTime :
% 7.11/2.81 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.11/2.82
% 7.11/2.82 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 7.36/2.85
% 7.36/2.85 Inference rules
% 7.36/2.85 ----------------------
% 7.36/2.85 #Ref : 0
% 7.36/2.85 #Sup : 1085
% 7.36/2.85 #Fact : 0
% 7.36/2.85 #Define : 0
% 7.36/2.85 #Split : 0
% 7.36/2.85 #Chain : 0
% 7.36/2.85 #Close : 0
% 7.36/2.85
% 7.36/2.85 Ordering : KBO
% 7.36/2.85
% 7.36/2.85 Simplification rules
% 7.36/2.85 ----------------------
% 7.36/2.85 #Subsume : 495
% 7.36/2.85 #Demod : 68
% 7.36/2.85 #Tautology : 110
% 7.36/2.85 #SimpNegUnit : 1
% 7.36/2.85 #BackRed : 0
% 7.36/2.85
% 7.36/2.85 #Partial instantiations: 0
% 7.36/2.85 #Strategies tried : 1
% 7.36/2.85
% 7.36/2.85 Timing (in seconds)
% 7.36/2.85 ----------------------
% 7.81/2.86 Preprocessing : 0.51
% 7.81/2.86 Parsing : 0.27
% 7.81/2.86 CNF conversion : 0.03
% 7.81/2.86 Main loop : 1.30
% 7.81/2.86 Inferencing : 0.39
% 7.81/2.86 Reduction : 0.65
% 7.81/2.86 Demodulation : 0.57
% 7.81/2.86 BG Simplification : 0.04
% 7.81/2.86 Subsumption : 0.17
% 7.81/2.86 Abstraction : 0.04
% 7.81/2.86 MUC search : 0.00
% 7.81/2.86 Cooper : 0.00
% 7.81/2.86 Total : 1.87
% 7.81/2.86 Index Insertion : 0.00
% 7.81/2.86 Index Deletion : 0.00
% 7.81/2.86 Index Matching : 0.00
% 7.81/2.86 BG Taut test : 0.00
%------------------------------------------------------------------------------