%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWW412-1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n017.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 0.22s 1.44s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 6
% Syntax : Number of formulae : 23 ( 15 unt; 0 def)
% Number of atoms : 36 ( 15 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 25 ( 12 ~; 13 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% 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 : 31 ( 31 !; 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(f15,hypothesis,
x3 != x2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,hypothesis,
x1 != x4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,hypothesis,
heap(sep(lseg(x3,nil),sep(lseg(x4,nil),sep(next(x1,x4),sep(next(x2,x3),emp))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,negated_conjecture,
~ heap(sep(lseg(x2,nil),sep(lseg(x1,nil),emp))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f21,plain,
! [X0,X1,X2] : sep(X0,sep(X1,X2)) = sep(X1,sep(X0,X2)),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f31,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(f32,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)],[f31]) ).
fof(f42,plain,
x3 != x2,
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f44,plain,
x1 != x4,
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f46,plain,
heap(sep(lseg(x3,nil),sep(lseg(x4,nil),sep(next(x1,x4),sep(next(x2,x3),emp))))),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f47,plain,
~ heap(sep(lseg(x2,nil),sep(lseg(x1,nil),emp))),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f48,plain,
~ heap(sep(lseg(x1,nil),sep(lseg(x2,nil),emp))),
inference(backward_demodulation,[status(thm)],[f21,f47]) ).
fof(f51,plain,
! [X0,X1,X2,X3] : sep(X0,sep(X1,sep(X2,X3))) = sep(X2,sep(X0,sep(X1,X3))),
inference(paramodulation,[status(thm)],[f21,f21]) ).
fof(f190,plain,
! [X0,X1,X2,X3] :
( heap(sep(lseg(X2,X1),X3))
| X2 = X0
| ~ heap(sep(lseg(X0,X1),sep(next(X2,X0),X3))) ),
inference(forward_demodulation,[status(thm)],[f21,f32]) ).
fof(f346,plain,
! [X0,X1,X2,X3,X4] :
( heap(sep(lseg(X3,X2),sep(X0,X4)))
| X3 = X1
| ~ heap(sep(X0,sep(lseg(X1,X2),sep(next(X3,X1),X4)))) ),
inference(paramodulation,[status(thm)],[f51,f190]) ).
fof(f1114,plain,
( heap(sep(lseg(x1,nil),sep(lseg(x3,nil),sep(next(x2,x3),emp))))
| x1 = x4 ),
inference(resolution,[status(thm)],[f346,f46]) ).
fof(f1127,plain,
heap(sep(lseg(x1,nil),sep(lseg(x3,nil),sep(next(x2,x3),emp)))),
inference(forward_subsumption_resolution,[status(thm)],[f1114,f44]) ).
fof(f1130,plain,
( heap(sep(lseg(x2,nil),sep(lseg(x1,nil),emp)))
| x2 = x3 ),
inference(resolution,[status(thm)],[f1127,f346]) ).
fof(f1131,plain,
( heap(sep(lseg(x1,nil),sep(lseg(x2,nil),emp)))
| x2 = x3 ),
inference(forward_demodulation,[status(thm)],[f21,f1130]) ).
fof(f1132,plain,
heap(sep(lseg(x1,nil),sep(lseg(x2,nil),emp))),
inference(forward_subsumption_resolution,[status(thm)],[f1131,f42]) ).
fof(f1133,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f1132,f48]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWW412-1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.07 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.63 % Computer : n017.cluster.edu
% 0.18/0.63 % Model : x86_64 x86_64
% 0.18/0.63 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.63 % Memory : 8046.5625MB
% 0.18/0.63 % OS : Linux 6.8.0-71-generic
% 0.18/0.64 % CPULimit : 300
% 0.18/0.64 % WCLimit : 300
% 0.18/0.64 % DateTime : Mon Sep 21 09:46:42 UTC 2026
% 0.18/0.64 % CPUTime :
% 0.22/0.66 % Drodi V4.1.1
% 0.22/1.44 % Refutation found
% 0.22/1.44 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.22/1.44 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 5.29/1.46 % Elapsed time: 0.805333 seconds
% 5.29/1.46 % CPU time: 5.876001 seconds
% 5.29/1.46 % Total memory used: 132.228 MB
% 5.29/1.46 % Net memory used: 129.351 MB
%------------------------------------------------------------------------------