%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWW409-1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 03:07:48 PM UTC 2026
% Result : Unsatisfiable 0.14s 5.58s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 22 ( 13 unt; 0 def)
% Number of atoms : 35 ( 9 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 25 ( 12 ~; 13 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 35 ( 35 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [S,T,Sigma] : sep(S,sep(T,Sigma)) = sep(T,sep(S,Sigma)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [X,Y,Z,Sigma] :
( heap(sep(lseg(X,Z),Sigma))
| X = Y
| ~ heap(sep(next(X,Y),sep(lseg(Y,Z),Sigma))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [X,Y,Sigma] :
( heap(sep(lseg(X,nil),Sigma))
| ~ heap(sep(lseg(X,Y),sep(lseg(Y,nil),Sigma))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,hypothesis,
x1 != x3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,hypothesis,
heap(sep(lseg(x2,x1),sep(lseg(x3,nil),sep(next(x1,x3),emp)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,negated_conjecture,
~ heap(sep(lseg(x2,nil),emp)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,plain,
! [X0,X1,X2] : sep(X0,sep(X1,X2)) = sep(X1,sep(X0,X2)),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f28,plain,
! [X,Z,Sigma] :
( heap(sep(lseg(X,Z),Sigma))
| ! [Y] :
( X = Y
| ~ heap(sep(next(X,Y),sep(lseg(Y,Z),Sigma))) ) ),
inference(miniscoping,[status(thm)],[f8]) ).
fof(f29,plain,
! [X0,X1,X2,X3] :
( heap(sep(lseg(X0,X2),X3))
| X0 = X1
| ~ heap(sep(next(X0,X1),sep(lseg(X1,X2),X3))) ),
inference(cnf_transformation,[status(thm)],[f28]) ).
fof(f30,plain,
! [X,Sigma] :
( heap(sep(lseg(X,nil),Sigma))
| ! [Y] : ~ heap(sep(lseg(X,Y),sep(lseg(Y,nil),Sigma))) ),
inference(miniscoping,[status(thm)],[f9]) ).
fof(f31,plain,
! [X0,X1,X2] :
( heap(sep(lseg(X0,nil),X2))
| ~ heap(sep(lseg(X0,X1),sep(lseg(X1,nil),X2))) ),
inference(cnf_transformation,[status(thm)],[f30]) ).
fof(f38,plain,
x1 != x3,
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f40,plain,
heap(sep(lseg(x2,x1),sep(lseg(x3,nil),sep(next(x1,x3),emp)))),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f41,plain,
~ heap(sep(lseg(x2,nil),emp)),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f72,plain,
! [X0,X1,X2] :
( heap(sep(lseg(X1,nil),X2))
| ~ heap(sep(lseg(X0,nil),sep(lseg(X1,X0),X2))) ),
inference(paramodulation,[status(thm)],[f18,f31]) ).
fof(f92,plain,
! [X0,X1,X2,X3,X4] :
( heap(sep(lseg(X0,X3),sep(X2,X4)))
| X0 = X1
| ~ heap(sep(next(X0,X1),sep(X2,sep(lseg(X1,X3),X4)))) ),
inference(paramodulation,[status(thm)],[f18,f29]) ).
fof(f134,plain,
heap(sep(lseg(x2,x1),sep(next(x1,x3),sep(lseg(x3,nil),emp)))),
inference(forward_demodulation,[status(thm)],[f18,f40]) ).
fof(f135,plain,
heap(sep(next(x1,x3),sep(lseg(x2,x1),sep(lseg(x3,nil),emp)))),
inference(forward_demodulation,[status(thm)],[f18,f134]) ).
fof(f724,plain,
( heap(sep(lseg(x1,nil),sep(lseg(x2,x1),emp)))
| x1 = x3 ),
inference(resolution,[status(thm)],[f92,f135]) ).
fof(f748,plain,
heap(sep(lseg(x1,nil),sep(lseg(x2,x1),emp))),
inference(forward_subsumption_resolution,[status(thm)],[f724,f38]) ).
fof(f833,plain,
heap(sep(lseg(x2,nil),emp)),
inference(resolution,[status(thm)],[f748,f72]) ).
fof(f834,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f833,f41]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW409-1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/5.38 % Computer : n016.cluster.edu
% 0.09/5.38 % Model : x86_64 x86_64
% 0.09/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.38 % Memory : 8046.5625MB
% 0.09/5.38 % OS : Linux 6.8.0-71-generic
% 0.09/5.38 % CPULimit : 300
% 0.09/5.38 % WCLimit : 300
% 0.09/5.38 % DateTime : Mon Sep 21 09:56:15 UTC 2026
% 0.09/5.38 % CPUTime :
% 0.09/5.39 % Drodi V4.1.1
% 0.14/5.58 % Refutation found
% 0.14/5.58 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/5.58 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/5.59 % Elapsed time: 0.196900 seconds
% 0.14/5.59 % CPU time: 1.346201 seconds
% 0.14/5.59 % Total memory used: 119.386 MB
% 0.14/5.59 % Net memory used: 118.260 MB
%------------------------------------------------------------------------------