TSTP Solution File: SWW425-1 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SWW425-1 : 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/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 : n016.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 11:07:14 EDT 2023
% Result : Unsatisfiable 160.90s 140.73s
% Output : CNFRefutation 160.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 23
% Syntax : Number of formulae : 54 ( 29 unt; 16 typ; 0 def)
% Number of atoms : 51 ( 34 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 23 ( 10 ~; 13 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 2 avg)
% Maximal term depth : 10 ( 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 : 15 ( 15 usr; 12 con; 0-2 aty)
% Number of variables : 33 (; 33 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ heap > sep > next > lseg > #nlpp > x9 > x8 > x7 > x6 > x5 > x4 > x3 > x2 > x10 > x1 > nil > emp
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(lseg,type,
lseg: ( $i * $i ) > $i ).
tff(sep,type,
sep: ( $i * $i ) > $i ).
tff(x10,type,
x10: $i ).
tff(x3,type,
x3: $i ).
tff(x7,type,
x7: $i ).
tff(x4,type,
x4: $i ).
tff(x1,type,
x1: $i ).
tff(x8,type,
x8: $i ).
tff(x6,type,
x6: $i ).
tff(x9,type,
x9: $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(x5,type,
x5: $i ).
tff(x2,type,
x2: $i ).
tff(f_138,axiom,
x7 != x10,
file(unknown,unknown) ).
tff(f_128,axiom,
x1 != x10,
file(unknown,unknown) ).
tff(f_57,axiom,
! [X,Sigma] : ( sep(lseg(X,X),Sigma) = Sigma ),
file(unknown,unknown) ).
tff(f_54,axiom,
! [S,T,Sigma] : ( sep(S,sep(T,Sigma)) = sep(T,sep(S,Sigma)) ),
file(unknown,unknown) ).
tff(f_126,axiom,
x1 != x7,
file(unknown,unknown) ).
tff(f_145,axiom,
heap(sep(lseg(x5,x7),sep(lseg(x2,x5),sep(lseg(x2,x10),sep(lseg(x2,x1),sep(lseg(x9,x1),sep(lseg(x7,x6),sep(lseg(x3,x10),sep(lseg(x6,x9),emp))))))))),
file(unknown,unknown) ).
tff(f_85,axiom,
! [X,Y,Z,Sigma] :
( ~ heap(sep(lseg(X,Y),sep(lseg(X,Z),Sigma)))
| ( X = Y )
| ( X = Z ) ),
file(unknown,unknown) ).
tff(c_38,plain,
x7 != x10,
inference(cnfTransformation,[status(thm)],[f_138]) ).
tff(c_28,plain,
x10 != x1,
inference(cnfTransformation,[status(thm)],[f_128]) ).
tff(c_4,plain,
! [X_4,Sigma_5] : ( sep(lseg(X_4,X_4),Sigma_5) = Sigma_5 ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
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_54]) ).
tff(c_67,plain,
! [T_45,S_46,Sigma_47] : ( sep(T_45,sep(S_46,Sigma_47)) = sep(S_46,sep(T_45,Sigma_47)) ),
inference(cnfTransformation,[status(thm)],[f_54]) ).
tff(c_82,plain,
! [T_45,T_2,S_46,Sigma_47] : ( sep(T_45,sep(T_2,sep(S_46,Sigma_47))) = sep(T_2,sep(S_46,sep(T_45,Sigma_47))) ),
inference(superposition,[status(thm),theory(equality)],[c_67,c_2]) ).
tff(c_26,plain,
x7 != x1,
inference(cnfTransformation,[status(thm)],[f_126]) ).
tff(c_46,plain,
heap(sep(lseg(x5,x7),sep(lseg(x2,x5),sep(lseg(x2,x10),sep(lseg(x2,x1),sep(lseg(x9,x1),sep(lseg(x7,x6),sep(lseg(x3,x10),sep(lseg(x6,x9),emp))))))))),
inference(cnfTransformation,[status(thm)],[f_145]) ).
tff(c_50,plain,
heap(sep(lseg(x2,x1),sep(lseg(x2,x10),sep(lseg(x2,x5),sep(lseg(x3,x10),sep(lseg(x5,x7),sep(lseg(x6,x9),sep(lseg(x7,x6),sep(lseg(x9,x1),emp))))))))),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_2,c_2,c_2,c_2,c_2,c_2,c_2,c_2,c_2,c_2,c_2,c_46]) ).
tff(c_14,plain,
! [Z_20,X_18,Y_19,Sigma_21] :
( ( Z_20 = X_18 )
| ( Y_19 = X_18 )
| ~ heap(sep(lseg(X_18,Y_19),sep(lseg(X_18,Z_20),Sigma_21))) ),
inference(cnfTransformation,[status(thm)],[f_85]) ).
tff(c_2016,plain,
( ( x2 = x10 )
| ( x2 = x1 ) ),
inference(resolution,[status(thm)],[c_50,c_14]) ).
tff(c_2017,plain,
x2 = x1,
inference(splitLeft,[status(thm)],[c_2016]) ).
tff(c_2018,plain,
heap(sep(lseg(x1,x1),sep(lseg(x1,x10),sep(lseg(x1,x5),sep(lseg(x3,x10),sep(lseg(x5,x7),sep(lseg(x6,x9),sep(lseg(x7,x6),sep(lseg(x9,x1),emp))))))))),
inference(demodulation,[status(thm),theory(equality)],[c_2017,c_2017,c_2017,c_50]) ).
tff(c_2022,plain,
heap(sep(lseg(x1,x10),sep(lseg(x1,x5),sep(lseg(x3,x10),sep(lseg(x5,x7),sep(lseg(x6,x9),sep(lseg(x7,x6),sep(lseg(x9,x1),emp)))))))),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_2018]) ).
tff(c_315,plain,
! [Z_71,X_72,Y_73,Sigma_74] :
( ( Z_71 = X_72 )
| ( Y_73 = X_72 )
| ~ heap(sep(lseg(X_72,Y_73),sep(lseg(X_72,Z_71),Sigma_74))) ),
inference(cnfTransformation,[status(thm)],[f_85]) ).
tff(c_331,plain,
! [Z_71,X_72,Y_73,Sigma_3] :
( ( Z_71 = X_72 )
| ( Y_73 = X_72 )
| ~ heap(sep(lseg(X_72,Z_71),sep(lseg(X_72,Y_73),Sigma_3))) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_315]) ).
tff(c_8181,plain,
( ( x10 = x1 )
| ( x5 = x1 ) ),
inference(resolution,[status(thm)],[c_2022,c_331]) ).
tff(c_8197,plain,
x5 = x1,
inference(negUnitSimplification,[status(thm)],[c_28,c_8181]) ).
tff(c_8201,plain,
heap(sep(lseg(x1,x10),sep(lseg(x1,x1),sep(lseg(x3,x10),sep(lseg(x1,x7),sep(lseg(x6,x9),sep(lseg(x7,x6),sep(lseg(x9,x1),emp)))))))),
inference(demodulation,[status(thm),theory(equality)],[c_8197,c_8197,c_2022]) ).
tff(c_8202,plain,
heap(sep(lseg(x1,x10),sep(lseg(x1,x7),sep(lseg(x3,x10),sep(lseg(x6,x9),sep(lseg(x7,x6),sep(lseg(x9,x1),emp))))))),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_4,c_8201]) ).
tff(c_96619,plain,
( ( x10 = x1 )
| ( x7 = x1 ) ),
inference(resolution,[status(thm)],[c_8202,c_331]) ).
tff(c_96636,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_26,c_28,c_96619]) ).
tff(c_96637,plain,
x2 = x10,
inference(splitRight,[status(thm)],[c_2016]) ).
tff(c_96639,plain,
heap(sep(lseg(x10,x1),sep(lseg(x10,x10),sep(lseg(x10,x5),sep(lseg(x3,x10),sep(lseg(x5,x7),sep(lseg(x6,x9),sep(lseg(x7,x6),sep(lseg(x9,x1),emp))))))))),
inference(demodulation,[status(thm),theory(equality)],[c_96637,c_96637,c_96637,c_50]) ).
tff(c_96643,plain,
heap(sep(lseg(x10,x1),sep(lseg(x10,x5),sep(lseg(x3,x10),sep(lseg(x5,x7),sep(lseg(x6,x9),sep(lseg(x7,x6),sep(lseg(x9,x1),emp)))))))),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_96639]) ).
tff(c_102497,plain,
( ( x10 = x1 )
| ( x5 = x10 ) ),
inference(resolution,[status(thm)],[c_96643,c_331]) ).
tff(c_102511,plain,
x5 = x10,
inference(negUnitSimplification,[status(thm)],[c_28,c_102497]) ).
tff(c_102515,plain,
heap(sep(lseg(x10,x1),sep(lseg(x10,x10),sep(lseg(x3,x10),sep(lseg(x10,x7),sep(lseg(x6,x9),sep(lseg(x7,x6),sep(lseg(x9,x1),emp)))))))),
inference(demodulation,[status(thm),theory(equality)],[c_102511,c_102511,c_96643]) ).
tff(c_102516,plain,
heap(sep(lseg(x10,x1),sep(lseg(x10,x7),sep(lseg(x3,x10),sep(lseg(x6,x9),sep(lseg(x7,x6),sep(lseg(x9,x1),emp))))))),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_2,c_82,c_82,c_82,c_102515]) ).
tff(c_191228,plain,
( ( x10 = x1 )
| ( x7 = x10 ) ),
inference(resolution,[status(thm)],[c_102516,c_331]) ).
tff(c_191245,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_38,c_28,c_191228]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SWW425-1 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.14 % 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 : n016.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
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Thu Aug 3 19:54:53 EDT 2023
% 0.14/0.36 % CPUTime :
% 160.90/140.73 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 160.90/140.74
% 160.90/140.74 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 160.90/140.77
% 160.90/140.77 Inference rules
% 160.90/140.77 ----------------------
% 160.90/140.77 #Ref : 0
% 160.90/140.77 #Sup : 51633
% 160.90/140.77 #Fact : 0
% 160.90/140.77 #Define : 0
% 160.90/140.77 #Split : 1
% 160.90/140.77 #Chain : 0
% 160.90/140.77 #Close : 0
% 160.90/140.77
% 160.90/140.77 Ordering : KBO
% 160.90/140.77
% 160.90/140.77 Simplification rules
% 160.90/140.77 ----------------------
% 160.90/140.77 #Subsume : 19813
% 160.90/140.77 #Demod : 3288
% 160.90/140.77 #Tautology : 1518
% 160.90/140.77 #SimpNegUnit : 8
% 160.90/140.77 #BackRed : 10
% 160.90/140.77
% 160.90/140.77 #Partial instantiations: 0
% 160.90/140.77 #Strategies tried : 1
% 160.90/140.77
% 160.90/140.77 Timing (in seconds)
% 160.90/140.77 ----------------------
% 160.90/140.77 Preprocessing : 0.51
% 160.90/140.77 Parsing : 0.26
% 160.90/140.77 CNF conversion : 0.03
% 160.90/140.77 Main loop : 139.18
% 160.90/140.77 Inferencing : 7.08
% 160.90/140.77 Reduction : 124.45
% 160.90/140.77 Demodulation : 123.14
% 160.90/140.77 BG Simplification : 0.77
% 160.90/140.77 Subsumption : 5.14
% 160.90/140.77 Abstraction : 0.96
% 160.90/140.77 MUC search : 0.00
% 160.90/140.77 Cooper : 0.00
% 160.90/140.77 Total : 139.74
% 160.90/140.77 Index Insertion : 0.00
% 160.90/140.77 Index Deletion : 0.00
% 160.90/140.77 Index Matching : 0.00
% 160.90/140.77 BG Taut test : 0.00
%------------------------------------------------------------------------------