TSTP Solution File: SET167-6 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SET167-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n005.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 20:39:19 EDT 2024
% Result : Unsatisfiable 2.43s 0.67s
% Output : CNFRefutation 2.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 10
% Syntax : Number of formulae : 34 ( 12 unt; 0 def)
% Number of atoms : 62 ( 2 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 56 ( 28 ~; 26 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 36 ( 36 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y,U] :
( ~ subclass(X,Y)
| ~ member(U,X)
| member(U,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X] : subclass(X,universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f21,axiom,
! [Z,X,Y] :
( ~ member(Z,intersection(X,Y))
| member(Z,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f24,axiom,
! [Z,X] :
( ~ member(Z,complement(X))
| ~ member(Z,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f25,axiom,
! [Z,X] :
( ~ member(Z,universal_class)
| member(Z,complement(X))
| member(Z,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f26,axiom,
! [X,Y] : complement(intersection(complement(X),complement(Y))) = union(X,Y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f113,negated_conjecture,
member(x,y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f114,negated_conjecture,
~ member(x,union(y,z)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f115,plain,
! [Y,U] :
( ! [X] :
( ~ subclass(X,Y)
| ~ member(U,X) )
| member(U,Y) ),
inference(miniscoping,[status(esa)],[f1]) ).
fof(f116,plain,
! [X0,X1,X2] :
( ~ subclass(X0,X1)
| ~ member(X2,X0)
| member(X2,X1) ),
inference(cnf_transformation,[status(esa)],[f115]) ).
fof(f119,plain,
! [X0] : subclass(X0,universal_class),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f142,plain,
! [Z,X] :
( ! [Y] : ~ member(Z,intersection(X,Y))
| member(Z,X) ),
inference(miniscoping,[status(esa)],[f21]) ).
fof(f143,plain,
! [X0,X1,X2] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f142]) ).
fof(f147,plain,
! [X0,X1] :
( ~ member(X0,complement(X1))
| ~ member(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f24]) ).
fof(f148,plain,
! [X0,X1] :
( ~ member(X0,universal_class)
| member(X0,complement(X1))
| member(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f25]) ).
fof(f149,plain,
! [X0,X1] : complement(intersection(complement(X0),complement(X1))) = union(X0,X1),
inference(cnf_transformation,[status(esa)],[f26]) ).
fof(f246,plain,
member(x,y),
inference(cnf_transformation,[status(esa)],[f113]) ).
fof(f247,plain,
~ member(x,union(y,z)),
inference(cnf_transformation,[status(esa)],[f114]) ).
fof(f475,plain,
! [X0] :
( ~ subclass(y,X0)
| member(x,X0) ),
inference(resolution,[status(thm)],[f116,f246]) ).
fof(f482,plain,
member(x,universal_class),
inference(resolution,[status(thm)],[f475,f119]) ).
fof(f1167,plain,
( spl0_26
<=> member(x,universal_class) ),
introduced(split_symbol_definition) ).
fof(f1169,plain,
( ~ member(x,universal_class)
| spl0_26 ),
inference(component_clause,[status(thm)],[f1167]) ).
fof(f1196,plain,
( $false
| spl0_26 ),
inference(forward_subsumption_resolution,[status(thm)],[f1169,f482]) ).
fof(f1197,plain,
spl0_26,
inference(contradiction_clause,[status(thm)],[f1196]) ).
fof(f1493,plain,
! [X0,X1,X2] :
( ~ member(X0,universal_class)
| member(X0,union(X1,X2))
| member(X0,intersection(complement(X1),complement(X2))) ),
inference(paramodulation,[status(thm)],[f149,f148]) ).
fof(f1908,plain,
( spl0_46
<=> member(x,intersection(complement(y),complement(z))) ),
introduced(split_symbol_definition) ).
fof(f1909,plain,
( member(x,intersection(complement(y),complement(z)))
| ~ spl0_46 ),
inference(component_clause,[status(thm)],[f1908]) ).
fof(f1911,plain,
( ~ member(x,universal_class)
| member(x,intersection(complement(y),complement(z))) ),
inference(resolution,[status(thm)],[f1493,f247]) ).
fof(f1912,plain,
( ~ spl0_26
| spl0_46 ),
inference(split_clause,[status(thm)],[f1911,f1167,f1908]) ).
fof(f2205,plain,
( member(x,complement(y))
| ~ spl0_46 ),
inference(resolution,[status(thm)],[f1909,f143]) ).
fof(f2280,plain,
( ~ member(x,y)
| ~ spl0_46 ),
inference(resolution,[status(thm)],[f2205,f147]) ).
fof(f2360,plain,
( $false
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[status(thm)],[f246,f2280]) ).
fof(f2361,plain,
~ spl0_46,
inference(contradiction_clause,[status(thm)],[f2360]) ).
fof(f2362,plain,
$false,
inference(sat_refutation,[status(thm)],[f1197,f1912,f2361]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10 % Problem : SET167-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.09/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31 % Computer : n005.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Mon Apr 29 21:28:11 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.15/0.32 % Drodi V3.6.0
% 2.43/0.67 % Refutation found
% 2.43/0.67 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 2.43/0.67 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 2.43/0.71 % Elapsed time: 0.387833 seconds
% 2.43/0.71 % CPU time: 2.880970 seconds
% 2.43/0.71 % Total memory used: 171.787 MB
% 2.43/0.71 % Net memory used: 170.117 MB
%------------------------------------------------------------------------------