TSTP Solution File: SWW412-1 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SWW412-1 : 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 : n027.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 63.61s 51.57s
% Output : CNFRefutation 63.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 18
% Syntax : Number of formulae : 44 ( 21 unt; 10 typ; 0 def)
% Number of atoms : 52 ( 18 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 35 ( 17 ~; 18 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 6 ( 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 : 56 (; 56 !; 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_52,axiom,
! [S,T,Sigma] : ( sep(S,sep(T,Sigma)) = sep(T,sep(S,Sigma)) ),
file(unknown,unknown) ).
tff(f_137,axiom,
~ heap(sep(lseg(x2,nil),sep(lseg(x1,nil),emp))),
file(unknown,unknown) ).
tff(f_128,axiom,
x3 != x2,
file(unknown,unknown) ).
tff(f_132,axiom,
x1 != x4,
file(unknown,unknown) ).
tff(f_135,axiom,
heap(sep(lseg(x3,nil),sep(lseg(x4,nil),sep(next(x1,x4),sep(next(x2,x3),emp))))),
file(unknown,unknown) ).
tff(f_55,axiom,
! [X,Sigma] : ( sep(lseg(X,X),Sigma) = 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(f_102,axiom,
! [X,Y,Sigma] :
( ~ heap(sep(lseg(X,Y),sep(lseg(Y,nil),Sigma)))
| heap(sep(lseg(X,nil),Sigma)) ),
file(unknown,unknown) ).
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_40,plain,
~ heap(sep(lseg(x2,nil),sep(lseg(x1,nil),emp))),
inference(cnfTransformation,[status(thm)],[f_137]) ).
tff(c_41,plain,
~ heap(sep(lseg(x1,nil),sep(lseg(x2,nil),emp))),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_40]) ).
tff(c_30,plain,
x3 != x2,
inference(cnfTransformation,[status(thm)],[f_128]) ).
tff(c_34,plain,
x4 != x1,
inference(cnfTransformation,[status(thm)],[f_132]) ).
tff(c_38,plain,
heap(sep(lseg(x3,nil),sep(lseg(x4,nil),sep(next(x1,x4),sep(next(x2,x3),emp))))),
inference(cnfTransformation,[status(thm)],[f_135]) ).
tff(c_58,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_52]) ).
tff(c_67,plain,
! [S_46,S_1,T_45,Sigma_47] : ( sep(S_46,sep(S_1,sep(T_45,Sigma_47))) = sep(S_1,sep(T_45,sep(S_46,Sigma_47))) ),
inference(superposition,[status(thm),theory(equality)],[c_58,c_2]) ).
tff(c_4,plain,
! [X_4,Sigma_5] : ( sep(lseg(X_4,X_4),Sigma_5) = Sigma_5 ),
inference(cnfTransformation,[status(thm)],[f_55]) ).
tff(c_925,plain,
! [X_100,Z_101,Sigma_102,Y_103] :
( heap(sep(lseg(X_100,Z_101),Sigma_102))
| ( Y_103 = X_100 )
| ~ heap(sep(next(X_100,Y_103),sep(lseg(Y_103,Z_101),Sigma_102))) ),
inference(cnfTransformation,[status(thm)],[f_96]) ).
tff(c_1115,plain,
! [X_118,X_119,Sigma_120] :
( heap(sep(lseg(X_118,X_119),Sigma_120))
| ( X_119 = X_118 )
| ~ heap(sep(next(X_118,X_119),Sigma_120)) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_925]) ).
tff(c_76791,plain,
! [S_618,Sigma_617,T_619,X_616,X_620] :
( heap(sep(lseg(X_620,X_616),sep(S_618,sep(T_619,Sigma_617))))
| ( X_620 = X_616 )
| ~ heap(sep(S_618,sep(T_619,sep(next(X_620,X_616),Sigma_617)))) ),
inference(superposition,[status(thm),theory(equality)],[c_67,c_1115]) ).
tff(c_77147,plain,
( heap(sep(lseg(x1,x4),sep(lseg(x3,nil),sep(lseg(x4,nil),sep(next(x2,x3),emp)))))
| ( x4 = x1 ) ),
inference(resolution,[status(thm)],[c_38,c_76791]) ).
tff(c_77184,plain,
heap(sep(lseg(x1,x4),sep(lseg(x3,nil),sep(lseg(x4,nil),sep(next(x2,x3),emp))))),
inference(negUnitSimplification,[status(thm)],[c_34,c_77147]) ).
tff(c_354,plain,
! [X_79,Sigma_80,Y_81] :
( heap(sep(lseg(X_79,nil),Sigma_80))
| ~ heap(sep(lseg(X_79,Y_81),sep(lseg(Y_81,nil),Sigma_80))) ),
inference(cnfTransformation,[status(thm)],[f_102]) ).
tff(c_358,plain,
! [X_79,T_2,Sigma_3,Y_81] :
( heap(sep(lseg(X_79,nil),sep(T_2,Sigma_3)))
| ~ heap(sep(lseg(X_79,Y_81),sep(T_2,sep(lseg(Y_81,nil),Sigma_3)))) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_354]) ).
tff(c_77210,plain,
heap(sep(lseg(x1,nil),sep(lseg(x3,nil),sep(next(x2,x3),emp)))),
inference(resolution,[status(thm)],[c_77184,c_358]) ).
tff(c_1123,plain,
! [T_45,X_119,S_1,Sigma_47,X_118] :
( heap(sep(lseg(X_118,X_119),sep(S_1,sep(T_45,Sigma_47))))
| ( X_119 = X_118 )
| ~ heap(sep(S_1,sep(T_45,sep(next(X_118,X_119),Sigma_47)))) ),
inference(superposition,[status(thm),theory(equality)],[c_67,c_1115]) ).
tff(c_77212,plain,
( heap(sep(lseg(x2,x3),sep(lseg(x1,nil),sep(lseg(x3,nil),emp))))
| ( x3 = x2 ) ),
inference(resolution,[status(thm)],[c_77210,c_1123]) ).
tff(c_77224,plain,
( heap(sep(lseg(x1,nil),sep(lseg(x2,x3),sep(lseg(x3,nil),emp))))
| ( x3 = x2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_77212]) ).
tff(c_77225,plain,
heap(sep(lseg(x1,nil),sep(lseg(x2,x3),sep(lseg(x3,nil),emp)))),
inference(negUnitSimplification,[status(thm)],[c_30,c_77224]) ).
tff(c_4262,plain,
! [X_194,T_195,Sigma_196,Y_197] :
( heap(sep(lseg(X_194,nil),sep(T_195,Sigma_196)))
| ~ heap(sep(lseg(X_194,Y_197),sep(T_195,sep(lseg(Y_197,nil),Sigma_196)))) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_354]) ).
tff(c_4358,plain,
! [X_194,T_2,Sigma_196,Y_197] :
( heap(sep(lseg(X_194,nil),sep(T_2,Sigma_196)))
| ~ heap(sep(T_2,sep(lseg(X_194,Y_197),sep(lseg(Y_197,nil),Sigma_196)))) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_4262]) ).
tff(c_77238,plain,
heap(sep(lseg(x2,nil),sep(lseg(x1,nil),emp))),
inference(resolution,[status(thm)],[c_77225,c_4358]) ).
tff(c_77250,plain,
heap(sep(lseg(x1,nil),sep(lseg(x2,nil),emp))),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_77238]) ).
tff(c_77252,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_41,c_77250]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SWW412-1 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.14 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/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
% 0.15/0.35 % Computer : n027.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Thu Aug 3 19:34:09 EDT 2023
% 0.15/0.35 % CPUTime :
% 63.61/51.57 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 63.61/51.57
% 63.61/51.57 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 63.61/51.60
% 63.61/51.60 Inference rules
% 63.61/51.60 ----------------------
% 63.61/51.60 #Ref : 0
% 63.61/51.60 #Sup : 20997
% 63.61/51.61 #Fact : 0
% 63.61/51.61 #Define : 0
% 63.61/51.61 #Split : 0
% 63.61/51.61 #Chain : 0
% 63.61/51.61 #Close : 0
% 63.61/51.61
% 63.61/51.61 Ordering : KBO
% 63.61/51.61
% 63.61/51.61 Simplification rules
% 63.61/51.61 ----------------------
% 63.61/51.61 #Subsume : 8574
% 63.61/51.61 #Demod : 1395
% 63.61/51.61 #Tautology : 731
% 63.61/51.61 #SimpNegUnit : 3
% 63.61/51.61 #BackRed : 0
% 63.61/51.61
% 63.61/51.61 #Partial instantiations: 0
% 63.61/51.61 #Strategies tried : 1
% 63.61/51.61
% 63.61/51.61 Timing (in seconds)
% 63.61/51.61 ----------------------
% 63.61/51.61 Preprocessing : 0.48
% 63.61/51.61 Parsing : 0.25
% 63.61/51.61 CNF conversion : 0.03
% 63.61/51.61 Main loop : 50.04
% 63.61/51.61 Inferencing : 3.09
% 63.61/51.61 Reduction : 44.33
% 63.61/51.61 Demodulation : 43.81
% 63.61/51.61 BG Simplification : 0.34
% 63.61/51.61 Subsumption : 1.89
% 63.61/51.61 Abstraction : 0.46
% 63.61/51.61 MUC search : 0.00
% 63.61/51.61 Cooper : 0.00
% 63.61/51.61 Total : 50.58
% 63.61/51.61 Index Insertion : 0.00
% 63.61/51.61 Index Deletion : 0.00
% 63.61/51.61 Index Matching : 0.00
% 63.61/51.61 BG Taut test : 0.00
%------------------------------------------------------------------------------