%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWW407-1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n018.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 6.36s 1.29s
% Output : CNFRefutation 6.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of formulae : 34 ( 19 unt; 2 def)
% Number of atoms : 53 ( 15 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 40 ( 21 ~; 17 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 3 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 51 ( 51 !; 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(f10,axiom,
! [X,Y,Z,W,Sigma] :
( heap(sep(lseg(X,Z),sep(next(Z,W),Sigma)))
| ~ heap(sep(lseg(X,Y),sep(lseg(Y,Z),sep(next(Z,W),Sigma)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,hypothesis,
x1 != x2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,hypothesis,
heap(sep(next(x1,x2),sep(lseg(x3,x1),sep(lseg(x4,nil),sep(next(x2,x4),emp))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f21,negated_conjecture,
~ heap(sep(lseg(x4,nil),sep(next(x2,x4),sep(lseg(x3,x2),emp)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,plain,
! [X0,X1,X2] : sep(X0,sep(X1,X2)) = sep(X1,sep(X0,X2)),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f23,plain,
! [X0,X1] : sep(lseg(X0,X0),X1) = X1,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f32,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(f33,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)],[f32]) ).
fof(f36,plain,
! [X,Z,W,Sigma] :
( heap(sep(lseg(X,Z),sep(next(Z,W),Sigma)))
| ! [Y] : ~ heap(sep(lseg(X,Y),sep(lseg(Y,Z),sep(next(Z,W),Sigma)))) ),
inference(miniscoping,[status(thm)],[f10]) ).
fof(f37,plain,
! [X0,X1,X2,X3,X4] :
( heap(sep(lseg(X0,X2),sep(next(X2,X3),X4)))
| ~ heap(sep(lseg(X0,X1),sep(lseg(X1,X2),sep(next(X2,X3),X4)))) ),
inference(cnf_transformation,[status(thm)],[f36]) ).
fof(f44,plain,
x1 != x2,
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f48,plain,
heap(sep(next(x1,x2),sep(lseg(x3,x1),sep(lseg(x4,nil),sep(next(x2,x4),emp))))),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f49,plain,
~ heap(sep(lseg(x4,nil),sep(next(x2,x4),sep(lseg(x3,x2),emp)))),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f52,plain,
! [X0,X1,X2,X3] : sep(X0,sep(X1,sep(X2,X3))) = sep(X2,sep(X0,sep(X1,X3))),
inference(paramodulation,[status(thm)],[f22,f22]) ).
fof(f176,plain,
! [X0,X1,X2,X3] : sep(X0,sep(X1,sep(X2,X3))) = sep(X2,sep(X1,sep(X0,X3))),
inference(paramodulation,[status(thm)],[f22,f52]) ).
fof(f365,plain,
~ heap(sep(lseg(x3,x2),sep(next(x2,x4),sep(lseg(x4,nil),emp)))),
inference(paramodulation,[status(thm)],[f176,f49]) ).
fof(f684,plain,
! [X0,X1,X2] :
( heap(sep(lseg(X0,X1),X2))
| X0 = X1
| ~ heap(sep(next(X0,X1),X2)) ),
inference(paramodulation,[status(thm)],[f23,f33]) ).
fof(f696,plain,
! [X0] : ~ heap(sep(lseg(x3,X0),sep(lseg(X0,x2),sep(next(x2,x4),sep(lseg(x4,nil),emp))))),
inference(resolution,[status(thm)],[f365,f37]) ).
fof(f703,plain,
! [X0] : ~ heap(sep(lseg(X0,x2),sep(next(x2,x4),sep(lseg(x3,X0),sep(lseg(x4,nil),emp))))),
inference(paramodulation,[status(thm)],[f52,f696]) ).
fof(f723,plain,
! [X0] : ~ heap(sep(lseg(X0,x2),sep(lseg(x3,X0),sep(lseg(x4,nil),sep(next(x2,x4),emp))))),
inference(paramodulation,[status(thm)],[f52,f703]) ).
fof(f1066,plain,
( heap(sep(lseg(x1,x2),sep(lseg(x3,x1),sep(lseg(x4,nil),sep(next(x2,x4),emp)))))
| x1 = x2 ),
inference(resolution,[status(thm)],[f48,f684]) ).
fof(f1073,definition,
( sQ7_spl
<=> x1 = x2 ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f1074,plain,
( ~ sQ7_spl
| x1 = x2 ),
inference(component_clause,[status(thm)],[f1073]) ).
fof(f1076,definition,
( sQ8_spl
<=> heap(sep(lseg(x1,x2),sep(lseg(x3,x1),sep(lseg(x4,nil),sep(next(x2,x4),emp))))) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f1077,plain,
( ~ sQ8_spl
| heap(sep(lseg(x1,x2),sep(lseg(x3,x1),sep(lseg(x4,nil),sep(next(x2,x4),emp))))) ),
inference(component_clause,[status(thm)],[f1076]) ).
fof(f1079,plain,
( sQ8_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f1066,f1073,f1076]) ).
fof(f1080,plain,
( ~ sQ7_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1074,f44]) ).
fof(f1081,plain,
~ sQ7_spl,
inference(contradiction_clause,[status(thm)],[f1080]) ).
fof(f1082,plain,
( ~ sQ8_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1077,f723]) ).
fof(f1083,plain,
~ sQ8_spl,
inference(contradiction_clause,[status(thm)],[f1082]) ).
fof(f1084,plain,
$false,
inference(sat_refutation,[status(thm)],[f1079,f1081,f1083]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW407-1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n018.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 09:53:30 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 6.36/1.29 % Refutation found
% 6.36/1.29 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 6.36/1.29 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 6.36/1.33 % Elapsed time: 0.958649 seconds
% 6.36/1.33 % CPU time: 7.207225 seconds
% 6.36/1.33 % Total memory used: 137.171 MB
% 6.36/1.33 % Net memory used: 134.351 MB
%------------------------------------------------------------------------------