TSTP Solution File: SWW409-1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWW409-1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n003.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 20:50:13 EDT 2024
% Result : Unsatisfiable 0.19s 0.49s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 7
% Syntax : Number of formulae : 29 ( 18 unt; 0 def)
% Number of atoms : 44 ( 17 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 34 ( 19 ~; 15 |; 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 : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 55 ( 55 !; 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(f9,axiom,
! [X,Y,Sigma] :
( ~ heap(sep(lseg(X,Y),sep(lseg(Y,nil),Sigma)))
| heap(sep(lseg(X,nil),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(x2,nil),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(esa)],[f1]) ).
fof(f19,plain,
! [X0,X1] : sep(lseg(X0,X0),X1) = X1,
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f28,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(f29,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)],[f28]) ).
fof(f30,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(f31,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)],[f30]) ).
fof(f38,plain,
x1 != x3,
inference(cnf_transformation,[status(esa)],[f14]) ).
fof(f40,plain,
heap(sep(lseg(x2,x1),sep(lseg(x3,nil),sep(next(x1,x3),emp)))),
inference(cnf_transformation,[status(esa)],[f16]) ).
fof(f41,plain,
~ heap(sep(lseg(x2,nil),emp)),
inference(cnf_transformation,[status(esa)],[f17]) ).
fof(f42,plain,
! [X0,X1,X2,X3] : sep(X0,sep(X1,sep(X2,X3))) = sep(X2,sep(X0,sep(X1,X3))),
inference(paramodulation,[status(thm)],[f18,f18]) ).
fof(f92,plain,
! [X0,X1,X2,X3] : sep(X0,sep(X1,sep(X2,X3))) = sep(X2,sep(X1,sep(X0,X3))),
inference(paramodulation,[status(thm)],[f18,f42]) ).
fof(f234,plain,
! [X0] : ~ heap(sep(lseg(x2,X0),sep(lseg(X0,nil),emp))),
inference(resolution,[status(thm)],[f31,f41]) ).
fof(f262,plain,
! [X0] : ~ heap(sep(lseg(x2,X0),sep(lseg(X0,nil),sep(lseg(nil,nil),emp)))),
inference(resolution,[status(thm)],[f234,f31]) ).
fof(f263,plain,
! [X0] : ~ heap(sep(lseg(nil,nil),sep(lseg(X0,nil),sep(lseg(x2,X0),emp)))),
inference(forward_demodulation,[status(thm)],[f92,f262]) ).
fof(f264,plain,
! [X0] : ~ heap(sep(lseg(X0,nil),sep(lseg(x2,X0),emp))),
inference(forward_demodulation,[status(thm)],[f19,f263]) ).
fof(f348,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)],[f18,f29]) ).
fof(f353,plain,
! [X0,X1] :
( ~ heap(sep(lseg(X0,nil),sep(next(X1,X0),sep(lseg(x2,X1),emp))))
| X1 = X0 ),
inference(resolution,[status(thm)],[f348,f264]) ).
fof(f354,plain,
! [X0,X1] :
( ~ heap(sep(lseg(X0,nil),sep(lseg(x2,X1),sep(next(X1,X0),emp))))
| X1 = X0 ),
inference(forward_demodulation,[status(thm)],[f18,f353]) ).
fof(f543,plain,
! [X0,X1] :
( ~ heap(sep(lseg(x2,X0),sep(next(X0,X1),sep(lseg(X1,nil),emp))))
| X0 = X1 ),
inference(paramodulation,[status(thm)],[f42,f354]) ).
fof(f544,plain,
! [X0,X1] :
( ~ heap(sep(lseg(x2,X0),sep(lseg(X1,nil),sep(next(X0,X1),emp))))
| X0 = X1 ),
inference(forward_demodulation,[status(thm)],[f18,f543]) ).
fof(f689,plain,
x1 = x3,
inference(resolution,[status(thm)],[f40,f544]) ).
fof(f690,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f689,f38]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWW409-1 : TPTP v8.1.2. Released v5.2.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34 % Computer : n003.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Apr 29 23:16:33 EDT 2024
% 0.12/0.35 % CPUTime :
% 0.12/0.36 % Drodi V3.6.0
% 0.19/0.49 % Refutation found
% 0.19/0.49 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.19/0.49 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.19/0.49 % Elapsed time: 0.143543 seconds
% 0.19/0.49 % CPU time: 1.026358 seconds
% 0.19/0.49 % Total memory used: 70.420 MB
% 0.19/0.49 % Net memory used: 70.062 MB
%------------------------------------------------------------------------------