%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWW399-1 : 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 03:07:47 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.39s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of formulae : 23 ( 11 unt; 2 def)
% Number of atoms : 38 ( 11 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 29 ( 14 ~; 13 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 3 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 17 ( 17 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X,Sigma] : sep(lseg(X,X),Sigma) = 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(f12,hypothesis,
nil != x1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,hypothesis,
heap(sep(next(x1,nil),emp)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,negated_conjecture,
~ heap(sep(lseg(x1,nil),emp)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,plain,
! [X0,X1] : sep(lseg(X0,X0),X1) = X1,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f25,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(f26,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)],[f25]) ).
fof(f33,plain,
nil != x1,
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f34,plain,
heap(sep(next(x1,nil),emp)),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f35,plain,
~ heap(sep(lseg(x1,nil),emp)),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f114,plain,
! [X0] :
( x1 = X0
| ~ heap(sep(next(x1,X0),sep(lseg(X0,nil),emp))) ),
inference(resolution,[status(thm)],[f26,f35]) ).
fof(f143,plain,
( x1 = nil
| ~ heap(sep(next(x1,nil),emp)) ),
inference(paramodulation,[status(thm)],[f16,f114]) ).
fof(f144,definition,
( sQ4_spl
<=> heap(sep(next(x1,nil),emp)) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f146,plain,
( sQ4_spl
| ~ heap(sep(next(x1,nil),emp)) ),
inference(component_clause,[status(thm)],[f144]) ).
fof(f147,definition,
( sQ5_spl
<=> x1 = nil ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f148,plain,
( ~ sQ5_spl
| x1 = nil ),
inference(component_clause,[status(thm)],[f147]) ).
fof(f150,plain,
( sQ5_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f143,f144,f147]) ).
fof(f151,plain,
( sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f146,f34]) ).
fof(f152,plain,
sQ4_spl,
inference(contradiction_clause,[status(thm)],[f151]) ).
fof(f153,plain,
( ~ sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f148,f33]) ).
fof(f154,plain,
~ sQ5_spl,
inference(contradiction_clause,[status(thm)],[f153]) ).
fof(f155,plain,
$false,
inference(sat_refutation,[status(thm)],[f150,f152,f154]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWW399-1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n019.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Mon Sep 21 09:51:07 UTC 2026
% 0.10/0.35 % CPUTime :
% 0.10/0.37 % Drodi V4.1.1
% 0.14/0.39 % Refutation found
% 0.14/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.41 % Elapsed time: 0.055182 seconds
% 0.14/0.41 % CPU time: 0.166151 seconds
% 0.14/0.41 % Total memory used: 102.210 MB
% 0.14/0.41 % Net memory used: 101.793 MB
%------------------------------------------------------------------------------