TSTP Solution File: SWW407-1 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SWW407-1 : 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 : n020.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 11:07:12 EDT 2023
% Result : Unsatisfiable 90.74s 76.33s
% Output : CNFRefutation 90.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 17
% Syntax : Number of formulae : 37 ( 18 unt; 10 typ; 0 def)
% Number of atoms : 40 ( 13 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 26 ( 13 ~; 13 |; 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 : 54 (; 54 !; 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_139,axiom,
~ heap(sep(lseg(x4,nil),sep(next(x2,x4),sep(lseg(x3,x2),emp)))),
file(unknown,unknown) ).
tff(f_130,axiom,
x1 != x2,
file(unknown,unknown) ).
tff(f_137,axiom,
heap(sep(next(x1,x2),sep(lseg(x3,x1),sep(lseg(x4,nil),sep(next(x2,x4),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_109,axiom,
! [Sigma,W,Z,X,Y] :
( ~ heap(sep(lseg(X,Y),sep(lseg(Y,Z),sep(next(Z,W),Sigma))))
| heap(sep(lseg(X,Z),sep(next(Z,W),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_42,plain,
~ heap(sep(lseg(x4,nil),sep(next(x2,x4),sep(lseg(x3,x2),emp)))),
inference(cnfTransformation,[status(thm)],[f_139]) ).
tff(c_43,plain,
~ heap(sep(lseg(x3,x2),sep(lseg(x4,nil),sep(next(x2,x4),emp)))),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_2,c_42]) ).
tff(c_32,plain,
x2 != x1,
inference(cnfTransformation,[status(thm)],[f_130]) ).
tff(c_40,plain,
heap(sep(next(x1,x2),sep(lseg(x3,x1),sep(lseg(x4,nil),sep(next(x2,x4),emp))))),
inference(cnfTransformation,[status(thm)],[f_137]) ).
tff(c_44,plain,
heap(sep(lseg(x3,x1),sep(lseg(x4,nil),sep(next(x1,x2),sep(next(x2,x4),emp))))),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_2,c_40]) ).
tff(c_61,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_112,plain,
! [T_45,T_2,S_1,Sigma_3] : ( sep(T_45,sep(T_2,sep(S_1,Sigma_3))) = sep(S_1,sep(T_45,sep(T_2,Sigma_3))) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_61]) ).
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_970,plain,
! [X_104,Z_105,Sigma_106,Y_107] :
( heap(sep(lseg(X_104,Z_105),Sigma_106))
| ( Y_107 = X_104 )
| ~ heap(sep(next(X_104,Y_107),sep(lseg(Y_107,Z_105),Sigma_106))) ),
inference(cnfTransformation,[status(thm)],[f_96]) ).
tff(c_1061,plain,
! [X_113,X_114,Sigma_115] :
( heap(sep(lseg(X_113,X_114),Sigma_115))
| ( X_114 = X_113 )
| ~ heap(sep(next(X_113,X_114),Sigma_115)) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_970]) ).
tff(c_82341,plain,
! [X_628,Sigma_630,T_629,T_627,X_631] :
( heap(sep(lseg(X_631,X_628),sep(T_629,sep(T_627,Sigma_630))))
| ( X_631 = X_628 )
| ~ heap(sep(T_629,sep(T_627,sep(next(X_631,X_628),Sigma_630)))) ),
inference(superposition,[status(thm),theory(equality)],[c_112,c_1061]) ).
tff(c_82697,plain,
( heap(sep(lseg(x1,x2),sep(lseg(x3,x1),sep(lseg(x4,nil),sep(next(x2,x4),emp)))))
| ( x2 = x1 ) ),
inference(resolution,[status(thm)],[c_44,c_82341]) ).
tff(c_82752,plain,
heap(sep(lseg(x1,x2),sep(lseg(x3,x1),sep(lseg(x4,nil),sep(next(x2,x4),emp))))),
inference(negUnitSimplification,[status(thm)],[c_32,c_82697]) ).
tff(c_1006,plain,
! [Y_108,X_109,Sigma_111,Z_110,W_112] :
( heap(sep(lseg(X_109,Z_110),sep(next(Z_110,W_112),Sigma_111)))
| ~ heap(sep(lseg(X_109,Y_108),sep(lseg(Y_108,Z_110),sep(next(Z_110,W_112),Sigma_111)))) ),
inference(cnfTransformation,[status(thm)],[f_109]) ).
tff(c_5432,plain,
! [Sigma_243,Z_241,X_242,W_240,Y_244] :
( heap(sep(lseg(X_242,Z_241),sep(next(Z_241,W_240),Sigma_243)))
| ~ heap(sep(lseg(Y_244,Z_241),sep(lseg(X_242,Y_244),sep(next(Z_241,W_240),Sigma_243)))) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_1006]) ).
tff(c_100341,plain,
! [Sigma_778,W_777,Y_774,Z_779,T_775,X_776] :
( heap(sep(lseg(X_776,Z_779),sep(next(Z_779,W_777),sep(T_775,Sigma_778))))
| ~ heap(sep(lseg(Y_774,Z_779),sep(lseg(X_776,Y_774),sep(T_775,sep(next(Z_779,W_777),Sigma_778))))) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_5432]) ).
tff(c_100344,plain,
heap(sep(lseg(x3,x2),sep(next(x2,x4),sep(lseg(x4,nil),emp)))),
inference(resolution,[status(thm)],[c_82752,c_100341]) ).
tff(c_101056,plain,
heap(sep(lseg(x3,x2),sep(lseg(x4,nil),sep(next(x2,x4),emp)))),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_100344]) ).
tff(c_101058,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_43,c_101056]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : SWW407-1 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.15 % 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
% 0.16/0.36 % Computer : n020.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Thu Aug 3 19:33:37 EDT 2023
% 0.16/0.37 % CPUTime :
% 90.74/76.33 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 90.74/76.34
% 90.74/76.34 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 90.82/76.37
% 90.82/76.37 Inference rules
% 90.82/76.37 ----------------------
% 90.82/76.37 #Ref : 0
% 90.82/76.37 #Sup : 27183
% 90.82/76.37 #Fact : 0
% 90.82/76.37 #Define : 0
% 90.82/76.37 #Split : 0
% 90.82/76.37 #Chain : 0
% 90.82/76.37 #Close : 0
% 90.82/76.37
% 90.82/76.37 Ordering : KBO
% 90.82/76.37
% 90.82/76.37 Simplification rules
% 90.82/76.37 ----------------------
% 90.82/76.37 #Subsume : 10208
% 90.82/76.37 #Demod : 1670
% 90.82/76.37 #Tautology : 783
% 90.82/76.37 #SimpNegUnit : 2
% 90.82/76.37 #BackRed : 0
% 90.82/76.37
% 90.82/76.37 #Partial instantiations: 0
% 90.82/76.37 #Strategies tried : 1
% 90.82/76.37
% 90.82/76.37 Timing (in seconds)
% 90.82/76.37 ----------------------
% 90.82/76.37 Preprocessing : 0.49
% 90.82/76.37 Parsing : 0.25
% 90.82/76.37 CNF conversion : 0.03
% 90.82/76.37 Main loop : 74.79
% 90.82/76.37 Inferencing : 3.83
% 90.82/76.37 Reduction : 66.71
% 90.82/76.37 Demodulation : 65.96
% 90.82/76.37 BG Simplification : 0.42
% 90.82/76.37 Subsumption : 2.86
% 90.82/76.37 Abstraction : 0.48
% 90.82/76.37 MUC search : 0.00
% 90.82/76.37 Cooper : 0.00
% 90.82/76.37 Total : 75.34
% 90.82/76.37 Index Insertion : 0.00
% 90.82/76.37 Index Deletion : 0.00
% 90.82/76.37 Index Matching : 0.00
% 90.82/76.37 BG Taut test : 0.00
%------------------------------------------------------------------------------