%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWW410-1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n008.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 60.98s 8.28s
% Output : CNFRefutation 60.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 8
% Syntax : Number of formulae : 39 ( 21 unt; 0 def)
% Number of atoms : 65 ( 20 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 46 ( 20 ~; 26 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 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 : 60 ( 60 !; 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(f2,axiom,
! [X,Sigma] : sep(lseg(X,X),Sigma) = 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(f11,axiom,
! [X,Y,Z,W,Sigma] :
( heap(sep(lseg(X,Z),sep(lseg(Z,W),Sigma)))
| Z = W
| ~ heap(sep(lseg(X,Y),sep(lseg(Y,Z),sep(lseg(Z,W),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(x3,nil),sep(lseg(x2,x3),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(f19,plain,
! [X0,X1] : sep(lseg(X0,X0),X1) = X1,
inference(cnf_transformation,[status(thm)],[f2]) ).
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(next(X0,X3),sep(lseg(X3,X1),X2)))
| X3 = X0
| heap(sep(lseg(X0,X1),X2)) ),
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(f34,plain,
! [X,Z,W,Sigma] :
( heap(sep(lseg(X,Z),sep(lseg(Z,W),Sigma)))
| Z = W
| ! [Y] : ~ heap(sep(lseg(X,Y),sep(lseg(Y,Z),sep(lseg(Z,W),Sigma)))) ),
inference(miniscoping,[status(thm)],[f11]) ).
fof(f35,plain,
! [X0,X1,X2,X3,X4] :
( ~ heap(sep(lseg(X2,X4),sep(lseg(X4,X1),sep(lseg(X1,X0),X3))))
| heap(sep(lseg(X2,X1),sep(lseg(X1,X0),X3)))
| X0 = X1 ),
inference(cnf_transformation,[status(thm)],[f34]) ).
fof(f38,plain,
x3 != x1,
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(x3,nil),sep(lseg(x2,x3),emp))),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f47,plain,
! [X0,X1,X2] :
( ~ heap(sep(next(X0,X1),X2))
| X1 = X0
| heap(sep(lseg(X0,X1),X2)) ),
inference(paramodulation,[status(thm)],[f19,f29]) ).
fof(f49,plain,
~ heap(sep(lseg(x2,x3),sep(lseg(x3,nil),emp))),
inference(backward_demodulation,[status(thm)],[f18,f41]) ).
fof(f69,plain,
! [X0,X1,X2,X3,X4] :
( X1 = X0
| heap(sep(lseg(X0,X3),sep(X2,X4)))
| ~ heap(sep(next(X0,X1),sep(X2,sep(lseg(X1,X3),X4)))) ),
inference(paramodulation,[status(thm)],[f18,f29]) ).
fof(f143,plain,
heap(sep(lseg(x2,x1),sep(next(x1,x3),sep(lseg(x3,nil),emp)))),
inference(forward_demodulation,[status(thm)],[f18,f40]) ).
fof(f144,plain,
heap(sep(next(x1,x3),sep(lseg(x2,x1),sep(lseg(x3,nil),emp)))),
inference(forward_demodulation,[status(thm)],[f18,f143]) ).
fof(f145,plain,
( x3 = x1
| heap(sep(lseg(x1,x3),sep(lseg(x2,x1),sep(lseg(x3,nil),emp)))) ),
inference(resolution,[status(thm)],[f144,f47]) ).
fof(f146,plain,
( heap(sep(lseg(x2,x1),sep(lseg(x1,x3),sep(lseg(x3,nil),emp))))
| x3 = x1 ),
inference(forward_demodulation,[status(thm)],[f18,f145]) ).
fof(f286,plain,
( x3 = x1
| heap(sep(lseg(x1,nil),sep(lseg(x2,x1),emp))) ),
inference(resolution,[status(thm)],[f69,f144]) ).
fof(f295,plain,
( x3 = x1
| heap(sep(lseg(x2,x1),sep(lseg(x1,nil),emp))) ),
inference(forward_demodulation,[status(thm)],[f18,f286]) ).
fof(f296,plain,
heap(sep(lseg(x2,x1),sep(lseg(x1,nil),emp))),
inference(forward_subsumption_resolution,[status(thm)],[f295,f38]) ).
fof(f758,plain,
heap(sep(lseg(x2,x1),sep(lseg(x1,x3),sep(lseg(x3,nil),emp)))),
inference(forward_subsumption_resolution,[status(thm)],[f146,f38]) ).
fof(f759,plain,
( heap(sep(lseg(x2,x3),sep(lseg(x3,nil),emp)))
| nil = x3 ),
inference(resolution,[status(thm)],[f758,f35]) ).
fof(f763,plain,
x3 = nil,
inference(forward_subsumption_resolution,[status(thm)],[f759,f49]) ).
fof(f767,plain,
! [X0,X1,X2] :
( heap(sep(lseg(X0,x3),X2))
| ~ heap(sep(lseg(X0,X1),sep(lseg(X1,nil),X2))) ),
inference(backward_demodulation,[status(thm)],[f763,f31]) ).
fof(f768,plain,
~ heap(sep(lseg(x2,x3),sep(lseg(x3,x3),emp))),
inference(backward_demodulation,[status(thm)],[f763,f49]) ).
fof(f775,plain,
! [X0,X1,X2] :
( heap(sep(lseg(X0,x3),X2))
| ~ heap(sep(lseg(X0,X1),sep(lseg(X1,x3),X2))) ),
inference(forward_demodulation,[status(thm)],[f763,f767]) ).
fof(f780,plain,
~ heap(sep(lseg(x2,x3),emp)),
inference(forward_demodulation,[status(thm)],[f19,f768]) ).
fof(f2814,plain,
heap(sep(lseg(x2,x1),sep(lseg(x1,x3),emp))),
inference(forward_demodulation,[status(thm)],[f763,f296]) ).
fof(f2815,plain,
heap(sep(lseg(x2,x3),emp)),
inference(resolution,[status(thm)],[f2814,f775]) ).
fof(f2818,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f2815,f780]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWW410-1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.47 % Computer : n008.cluster.edu
% 0.16/0.47 % Model : x86_64 x86_64
% 0.16/0.47 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.47 % Memory : 8046.5625MB
% 0.16/0.47 % OS : Linux 6.8.0-71-generic
% 0.16/0.47 % CPULimit : 300
% 0.16/0.47 % WCLimit : 300
% 0.16/0.47 % DateTime : Mon Sep 21 09:52:11 UTC 2026
% 0.16/0.48 % CPUTime :
% 0.16/0.49 % Drodi V4.1.1
% 60.98/8.28 % Refutation found
% 60.98/8.28 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 60.98/8.28 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 9.98/8.32 % Elapsed time: 7.822223 seconds
% 9.98/8.32 % CPU time: 61.701997 seconds
% 9.98/8.32 % Total memory used: 255.255 MB
% 9.98/8.32 % Net memory used: 243.603 MB
%------------------------------------------------------------------------------