TSTP Solution File: SWW400-1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SWW400-1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n001.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 : Wed May 31 12:44:53 EDT 2023
% Result : Unsatisfiable 1.28s 0.57s
% Output : CNFRefutation 1.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 7
% Syntax : Number of formulae : 30 ( 20 unt; 0 def)
% Number of atoms : 44 ( 17 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 32 ( 18 ~; 14 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 56 (; 56 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [S,T,Sigma] : sep(S,sep(T,Sigma)) = sep(T,sep(S,Sigma)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
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(next(X,Y),sep(lseg(Y,Z),Sigma)))
| X = Y
| heap(sep(lseg(X,Z),Sigma)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [X,Y,Sigma] :
( ~ heap(sep(lseg(X,Y),sep(lseg(Y,nil),Sigma)))
| heap(sep(lseg(X,nil),Sigma)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,hypothesis,
nil != x2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,hypothesis,
heap(sep(next(x2,nil),sep(lseg(x1,x2),emp))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,negated_conjecture,
~ heap(sep(lseg(x1,nil),emp)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,plain,
! [X0,X1,X2] : sep(X0,sep(X1,X2)) = sep(X1,sep(X0,X2)),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f17,plain,
! [X0,X1] : sep(lseg(X0,X0),X1) = X1,
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f26,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(f27,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)],[f26]) ).
fof(f28,plain,
! [X,Sigma] :
( ! [Y] : ~ heap(sep(lseg(X,Y),sep(lseg(Y,nil),Sigma)))
| heap(sep(lseg(X,nil),Sigma)) ),
inference(miniscoping,[status(esa)],[f9]) ).
fof(f29,plain,
! [X0,X1,X2] :
( ~ heap(sep(lseg(X0,X1),sep(lseg(X1,nil),X2)))
| heap(sep(lseg(X0,nil),X2)) ),
inference(cnf_transformation,[status(esa)],[f28]) ).
fof(f35,plain,
nil != x2,
inference(cnf_transformation,[status(esa)],[f13]) ).
fof(f36,plain,
heap(sep(next(x2,nil),sep(lseg(x1,x2),emp))),
inference(cnf_transformation,[status(esa)],[f14]) ).
fof(f37,plain,
~ heap(sep(lseg(x1,nil),emp)),
inference(cnf_transformation,[status(esa)],[f15]) ).
fof(f40,plain,
! [X0,X1,X2,X3] : sep(X0,sep(X1,sep(X2,X3))) = sep(X2,sep(X0,sep(X1,X3))),
inference(paramodulation,[status(thm)],[f16,f16]) ).
fof(f51,plain,
! [X0,X1,X2,X3] : sep(X0,sep(X1,sep(X2,X3))) = sep(X2,sep(X1,sep(X0,X3))),
inference(paramodulation,[status(thm)],[f16,f40]) ).
fof(f66,plain,
! [X0,X1,X2,X3] : sep(X0,sep(X1,sep(X2,X3))) = sep(X0,sep(X2,sep(X1,X3))),
inference(paramodulation,[status(thm)],[f16,f40]) ).
fof(f268,plain,
! [X0] : ~ heap(sep(lseg(x1,X0),sep(lseg(X0,nil),emp))),
inference(resolution,[status(thm)],[f29,f37]) ).
fof(f397,plain,
! [X0,X1,X2,X3] :
( ~ heap(sep(lseg(X0,X1),sep(next(X2,X0),X3)))
| X2 = X0
| heap(sep(lseg(X2,X1),X3)) ),
inference(forward_demodulation,[status(thm)],[f16,f27]) ).
fof(f439,plain,
! [X0] : ~ heap(sep(lseg(x1,X0),sep(lseg(X0,nil),sep(lseg(nil,nil),emp)))),
inference(resolution,[status(thm)],[f268,f29]) ).
fof(f440,plain,
! [X0] : ~ heap(sep(lseg(nil,nil),sep(lseg(X0,nil),sep(lseg(x1,X0),emp)))),
inference(forward_demodulation,[status(thm)],[f51,f439]) ).
fof(f441,plain,
! [X0] : ~ heap(sep(lseg(X0,nil),sep(lseg(x1,X0),emp))),
inference(forward_demodulation,[status(thm)],[f17,f440]) ).
fof(f449,plain,
! [X0,X1] :
( ~ heap(sep(lseg(X0,nil),sep(next(X1,X0),sep(lseg(x1,X1),emp))))
| X1 = X0 ),
inference(resolution,[status(thm)],[f441,f397]) ).
fof(f450,plain,
! [X0,X1] :
( ~ heap(sep(lseg(X0,nil),sep(lseg(x1,X1),sep(next(X1,X0),emp))))
| X1 = X0 ),
inference(forward_demodulation,[status(thm)],[f66,f449]) ).
fof(f620,plain,
! [X0] :
( ~ heap(sep(lseg(x1,X0),sep(next(X0,nil),emp)))
| X0 = nil ),
inference(paramodulation,[status(thm)],[f17,f450]) ).
fof(f719,plain,
heap(sep(lseg(x1,x2),sep(next(x2,nil),emp))),
inference(forward_demodulation,[status(thm)],[f16,f36]) ).
fof(f720,plain,
x2 = nil,
inference(resolution,[status(thm)],[f719,f620]) ).
fof(f721,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f720,f35]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.10 % Problem : SWW400-1 : TPTP v8.1.2. Released v5.2.0.
% 0.07/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.30 % Computer : n001.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Tue May 30 11:27:15 EDT 2023
% 0.10/0.30 % CPUTime :
% 0.10/0.31 % Drodi V3.5.1
% 1.28/0.57 % Refutation found
% 1.28/0.57 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 1.28/0.57 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 1.28/0.59 % Elapsed time: 0.279907 seconds
% 1.28/0.59 % CPU time: 1.536491 seconds
% 1.28/0.59 % Memory used: 70.263 MB
%------------------------------------------------------------------------------