TSTP Solution File: SWW407-1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWW407-1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 20:50:12 EDT 2024
% Result : Unsatisfiable 29.18s 4.01s
% Output : CNFRefutation 29.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 9
% Syntax : Number of formulae : 41 ( 21 unt; 0 def)
% Number of atoms : 66 ( 17 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 49 ( 24 ~; 23 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 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 : 68 ( 68 !; 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(next(X,Y),sep(lseg(Y,Z),Sigma)))
| X = Y
| heap(sep(lseg(X,Z),Sigma)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [X,Y,Z,W,Sigma] :
( ~ heap(sep(lseg(X,Y),sep(lseg(Y,Z),sep(next(Z,W),Sigma))))
| heap(sep(lseg(X,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(esa)],[f1]) ).
fof(f23,plain,
! [X0,X1] : sep(lseg(X0,X0),X1) = X1,
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f32,plain,
! [X,Z,Sigma] :
( ! [Y] :
( ~ heap(sep(next(X,Y),sep(lseg(Y,Z),Sigma)))
| X = Y )
| heap(sep(lseg(X,Z),Sigma)) ),
inference(miniscoping,[status(esa)],[f8]) ).
fof(f33,plain,
! [X0,X1,X2,X3] :
( ~ heap(sep(next(X0,X1),sep(lseg(X1,X2),X3)))
| X0 = X1
| heap(sep(lseg(X0,X2),X3)) ),
inference(cnf_transformation,[status(esa)],[f32]) ).
fof(f36,plain,
! [X,Z,W,Sigma] :
( ! [Y] : ~ heap(sep(lseg(X,Y),sep(lseg(Y,Z),sep(next(Z,W),Sigma))))
| heap(sep(lseg(X,Z),sep(next(Z,W),Sigma))) ),
inference(miniscoping,[status(esa)],[f10]) ).
fof(f37,plain,
! [X0,X1,X2,X3,X4] :
( ~ heap(sep(lseg(X0,X1),sep(lseg(X1,X2),sep(next(X2,X3),X4))))
| heap(sep(lseg(X0,X2),sep(next(X2,X3),X4))) ),
inference(cnf_transformation,[status(esa)],[f36]) ).
fof(f44,plain,
x1 != x2,
inference(cnf_transformation,[status(esa)],[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(esa)],[f20]) ).
fof(f49,plain,
~ heap(sep(lseg(x4,nil),sep(next(x2,x4),sep(lseg(x3,x2),emp)))),
inference(cnf_transformation,[status(esa)],[f21]) ).
fof(f50,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(f54,plain,
~ heap(sep(lseg(x4,nil),sep(lseg(x3,x2),sep(next(x2,x4),emp)))),
inference(paramodulation,[status(thm)],[f22,f49]) ).
fof(f55,plain,
~ heap(sep(lseg(x3,x2),sep(lseg(x4,nil),sep(next(x2,x4),emp)))),
inference(forward_demodulation,[status(thm)],[f22,f54]) ).
fof(f156,plain,
! [X0,X1,X2,X3] : sep(X0,sep(X1,sep(X2,X3))) = sep(X2,sep(X1,sep(X0,X3))),
inference(paramodulation,[status(thm)],[f22,f50]) ).
fof(f171,plain,
! [X0,X1,X2,X3] : sep(X0,sep(X1,sep(X2,X3))) = sep(X0,sep(X2,sep(X1,X3))),
inference(paramodulation,[status(thm)],[f22,f50]) ).
fof(f261,plain,
! [X0,X1,X2] :
( ~ heap(sep(next(X0,X1),X2))
| X0 = X1
| heap(sep(lseg(X0,X1),X2)) ),
inference(paramodulation,[status(thm)],[f23,f33]) ).
fof(f276,plain,
! [X0,X1,X2,X3,X4] :
( ~ heap(sep(lseg(X0,X1),sep(lseg(X2,X0),sep(next(X1,X3),X4))))
| heap(sep(lseg(X2,X1),sep(next(X1,X3),X4))) ),
inference(paramodulation,[status(thm)],[f22,f37]) ).
fof(f670,plain,
heap(sep(lseg(x4,nil),sep(lseg(x3,x1),sep(next(x1,x2),sep(next(x2,x4),emp))))),
inference(forward_demodulation,[status(thm)],[f156,f48]) ).
fof(f671,plain,
heap(sep(lseg(x3,x1),sep(next(x1,x2),sep(lseg(x4,nil),sep(next(x2,x4),emp))))),
inference(forward_demodulation,[status(thm)],[f50,f670]) ).
fof(f672,plain,
heap(sep(lseg(x3,x1),sep(lseg(x4,nil),sep(next(x1,x2),sep(next(x2,x4),emp))))),
inference(forward_demodulation,[status(thm)],[f171,f671]) ).
fof(f752,plain,
! [X0,X1,X2,X3,X4] :
( ~ heap(sep(X0,sep(X1,sep(next(X2,X3),X4))))
| X2 = X3
| heap(sep(lseg(X2,X3),sep(X0,sep(X1,X4)))) ),
inference(paramodulation,[status(thm)],[f50,f261]) ).
fof(f967,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ heap(sep(lseg(X0,X1),sep(lseg(X2,X0),sep(X3,sep(next(X1,X4),X5)))))
| heap(sep(lseg(X2,X1),sep(next(X1,X4),sep(X3,X5)))) ),
inference(paramodulation,[status(thm)],[f22,f276]) ).
fof(f11412,plain,
( spl0_5
<=> x1 = x2 ),
introduced(split_symbol_definition) ).
fof(f11413,plain,
( x1 = x2
| ~ spl0_5 ),
inference(component_clause,[status(thm)],[f11412]) ).
fof(f11415,plain,
( spl0_6
<=> heap(sep(lseg(x1,x2),sep(lseg(x3,x1),sep(lseg(x4,nil),sep(next(x2,x4),emp))))) ),
introduced(split_symbol_definition) ).
fof(f11416,plain,
( heap(sep(lseg(x1,x2),sep(lseg(x3,x1),sep(lseg(x4,nil),sep(next(x2,x4),emp)))))
| ~ spl0_6 ),
inference(component_clause,[status(thm)],[f11415]) ).
fof(f11418,plain,
( x1 = x2
| heap(sep(lseg(x1,x2),sep(lseg(x3,x1),sep(lseg(x4,nil),sep(next(x2,x4),emp))))) ),
inference(resolution,[status(thm)],[f752,f672]) ).
fof(f11419,plain,
( spl0_5
| spl0_6 ),
inference(split_clause,[status(thm)],[f11418,f11412,f11415]) ).
fof(f11508,plain,
( $false
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[status(thm)],[f11413,f44]) ).
fof(f11509,plain,
~ spl0_5,
inference(contradiction_clause,[status(thm)],[f11508]) ).
fof(f14458,plain,
( heap(sep(lseg(x3,x2),sep(next(x2,x4),sep(lseg(x4,nil),emp))))
| ~ spl0_6 ),
inference(resolution,[status(thm)],[f967,f11416]) ).
fof(f14459,plain,
( heap(sep(lseg(x3,x2),sep(lseg(x4,nil),sep(next(x2,x4),emp))))
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f171,f14458]) ).
fof(f14460,plain,
( $false
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[status(thm)],[f14459,f55]) ).
fof(f14461,plain,
~ spl0_6,
inference(contradiction_clause,[status(thm)],[f14460]) ).
fof(f14462,plain,
$false,
inference(sat_refutation,[status(thm)],[f11419,f11509,f14461]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.07 % Problem : SWW407-1 : TPTP v8.1.2. Released v5.2.0.
% 0.04/0.07 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.06/0.26 % Computer : n006.cluster.edu
% 0.06/0.26 % Model : x86_64 x86_64
% 0.06/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.26 % Memory : 8042.1875MB
% 0.06/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.26 % CPULimit : 300
% 0.10/0.26 % WCLimit : 300
% 0.10/0.26 % DateTime : Mon Apr 29 23:06:05 EDT 2024
% 0.10/0.26 % CPUTime :
% 0.10/0.26 % Drodi V3.6.0
% 29.18/4.01 % Refutation found
% 29.18/4.01 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 29.18/4.01 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 29.75/4.06 % Elapsed time: 3.783533 seconds
% 29.75/4.06 % CPU time: 29.971966 seconds
% 29.75/4.06 % Total memory used: 250.317 MB
% 29.75/4.06 % Net memory used: 246.155 MB
%------------------------------------------------------------------------------