TSTP Solution File: SWW417-1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWW417-1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n002.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 0.13s 0.39s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of formulae : 23 ( 11 unt; 0 def)
% Number of atoms : 39 ( 11 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 30 ( 14 ~; 14 |; 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 : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 22 ( 22 !; 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(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(f13,hypothesis,
x2 != x1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,hypothesis,
heap(sep(lseg(x2,nil),sep(next(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(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(f35,plain,
x2 != x1,
inference(cnf_transformation,[status(esa)],[f13]) ).
fof(f36,plain,
heap(sep(lseg(x2,nil),sep(next(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(f271,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(f272,plain,
( spl0_4
<=> x1 = x2 ),
introduced(split_symbol_definition) ).
fof(f273,plain,
( x1 = x2
| ~ spl0_4 ),
inference(component_clause,[status(thm)],[f272]) ).
fof(f275,plain,
( spl0_5
<=> heap(sep(lseg(x1,nil),emp)) ),
introduced(split_symbol_definition) ).
fof(f276,plain,
( heap(sep(lseg(x1,nil),emp))
| ~ spl0_5 ),
inference(component_clause,[status(thm)],[f275]) ).
fof(f278,plain,
( x1 = x2
| heap(sep(lseg(x1,nil),emp)) ),
inference(resolution,[status(thm)],[f271,f36]) ).
fof(f279,plain,
( spl0_4
| spl0_5 ),
inference(split_clause,[status(thm)],[f278,f272,f275]) ).
fof(f292,plain,
( $false
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[status(thm)],[f273,f35]) ).
fof(f293,plain,
~ spl0_4,
inference(contradiction_clause,[status(thm)],[f292]) ).
fof(f294,plain,
( $false
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[status(thm)],[f276,f37]) ).
fof(f295,plain,
~ spl0_5,
inference(contradiction_clause,[status(thm)],[f294]) ).
fof(f296,plain,
$false,
inference(sat_refutation,[status(thm)],[f279,f293,f295]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.15 % Problem : SWW417-1 : TPTP v8.1.2. Released v5.2.0.
% 0.10/0.16 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.36 % Computer : n002.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8042.1875MB
% 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 300
% 0.13/0.36 % DateTime : Mon Apr 29 23:20:39 EDT 2024
% 0.13/0.36 % CPUTime :
% 0.13/0.37 % Drodi V3.6.0
% 0.13/0.39 % Refutation found
% 0.13/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.40 % Elapsed time: 0.022943 seconds
% 0.13/0.40 % CPU time: 0.061466 seconds
% 0.13/0.40 % Total memory used: 15.569 MB
% 0.13/0.40 % Net memory used: 15.542 MB
%------------------------------------------------------------------------------