%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWW413-1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n019.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 03:07:49 PM UTC 2026
% Result : Unsatisfiable 0.17s 5.49s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 15 ( 10 unt; 0 def)
% Number of atoms : 23 ( 10 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 17 ( 9 ~; 8 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% 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 : 20 ( 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [S,T,Sigma] : sep(S,sep(T,Sigma)) = sep(T,sep(S,Sigma)),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p') ).
fof(f14,hypothesis,
x3 != x2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,hypothesis,
heap(sep(lseg(x3,nil),sep(next(x2,x3),emp))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,negated_conjecture,
~ heap(sep(lseg(x2,nil),emp)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,plain,
! [X0,X1,X2] : sep(X0,sep(X1,X2)) = sep(X1,sep(X0,X2)),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f30,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(f31,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)],[f30]) ).
fof(f40,plain,
x3 != x2,
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f44,plain,
heap(sep(lseg(x3,nil),sep(next(x2,x3),emp))),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f45,plain,
~ heap(sep(lseg(x2,nil),emp)),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f122,plain,
! [X0] :
( x2 = X0
| ~ heap(sep(next(x2,X0),sep(lseg(X0,nil),emp))) ),
inference(resolution,[status(thm)],[f31,f45]) ).
fof(f134,plain,
! [X0] :
( x2 = X0
| ~ heap(sep(lseg(X0,nil),sep(next(x2,X0),emp))) ),
inference(paramodulation,[status(thm)],[f20,f122]) ).
fof(f144,plain,
x2 = x3,
inference(resolution,[status(thm)],[f134,f44]) ).
fof(f147,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f144,f40]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWW413-1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/5.44 % Computer : n019.cluster.edu
% 0.17/5.44 % Model : x86_64 x86_64
% 0.17/5.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/5.44 % Memory : 8046.5625MB
% 0.17/5.44 % OS : Linux 6.8.0-71-generic
% 0.17/5.44 % CPULimit : 300
% 0.17/5.45 % WCLimit : 300
% 0.17/5.45 % DateTime : Mon Sep 21 09:51:25 UTC 2026
% 0.17/5.45 % CPUTime :
% 0.17/5.46 % Drodi V4.1.1
% 0.17/5.49 % Refutation found
% 0.17/5.49 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.17/5.49 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.21/5.52 % Elapsed time: 0.061988 seconds
% 0.21/5.52 % CPU time: 0.190248 seconds
% 0.21/5.52 % Total memory used: 101.958 MB
% 0.21/5.52 % Net memory used: 101.572 MB
%------------------------------------------------------------------------------