%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : SWW417-1 : TPTP v9.0.0. 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 : n023.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 : Wed Apr 9 09:52:37 PM UTC 2025
% Result : Unsatisfiable 7.27s 2.83s
% Output : CNFRefutation 7.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 13 ( 9 unt; 0 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 : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 18 ( 18 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ heap > sep > next > lseg > #nlpp > 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(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_124,axiom,
x2 != x1,
file(unknown,unknown) ).
tff(f_127,axiom,
~ heap(sep(lseg(x1,nil),emp)),
file(unknown,unknown) ).
tff(f_125,axiom,
heap(sep(lseg(x2,nil),sep(next(x1,x2),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_26,plain,
x2 != x1,
inference(cnfTransformation,[status(thm)],[f_124]) ).
tff(c_30,plain,
~ heap(sep(lseg(x1,nil),emp)),
inference(cnfTransformation,[status(thm)],[f_127]) ).
tff(c_28,plain,
heap(sep(lseg(x2,nil),sep(next(x1,x2),emp))),
inference(cnfTransformation,[status(thm)],[f_125]) ).
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_506,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_4031,plain,
! [X_184,Z_185,Sigma_186,Y_187] :
( heap(sep(lseg(X_184,Z_185),Sigma_186))
| ( Y_187 = X_184 )
| ~ heap(sep(lseg(Y_187,Z_185),sep(next(X_184,Y_187),Sigma_186))) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_506]) ).
tff(c_4102,plain,
( heap(sep(lseg(x1,nil),emp))
| ( x2 = x1 ) ),
inference(resolution,[status(thm)],[c_28,c_4031]) ).
tff(c_4110,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_26,c_30,c_4102]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SWW417-1 : TPTP v9.0.0. Released v5.2.0.
% 0.04/0.13 % 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 : n023.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 : Wed Apr 9 05:41:54 EDT 2025
% 0.13/0.35 % CPUTime :
% 7.27/2.83 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.27/2.83
% 7.27/2.83 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------