TSTP Solution File: SET166-6 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SET166-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n018.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 1.52s 0.59s
% Output : CNFRefutation 1.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 15
% Syntax : Number of formulae : 50 ( 17 unt; 0 def)
% Number of atoms : 94 ( 4 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 89 ( 45 ~; 39 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 6 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 38 ( 38 !; 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(f5,axiom,
! [X,Y] :
( X != Y
| subclass(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f23,axiom,
! [Z,X,Y] :
( ~ member(Z,X)
| ~ member(Z,Y)
| member(Z,intersection(X,Y)) ),
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,union(y,z)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f114,negated_conjecture,
~ member(x,y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f115,negated_conjecture,
~ member(x,z),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f116,plain,
! [Y,U] :
( ! [X] :
( ~ subclass(X,Y)
| ~ member(U,X) )
| member(U,Y) ),
inference(miniscoping,[status(esa)],[f1]) ).
fof(f117,plain,
! [X0,X1,X2] :
( ~ subclass(X0,X1)
| ~ member(X2,X0)
| member(X2,X1) ),
inference(cnf_transformation,[status(esa)],[f116]) ).
fof(f120,plain,
! [X0] : subclass(X0,universal_class),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f121,plain,
! [X0,X1] :
( X0 != X1
| subclass(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f147,plain,
! [X0,X1,X2] :
( ~ member(X0,X1)
| ~ member(X0,X2)
| member(X0,intersection(X1,X2)) ),
inference(cnf_transformation,[status(esa)],[f23]) ).
fof(f148,plain,
! [X0,X1] :
( ~ member(X0,complement(X1))
| ~ member(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f24]) ).
fof(f149,plain,
! [X0,X1] :
( ~ member(X0,universal_class)
| member(X0,complement(X1))
| member(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f25]) ).
fof(f150,plain,
! [X0,X1] : complement(intersection(complement(X0),complement(X1))) = union(X0,X1),
inference(cnf_transformation,[status(esa)],[f26]) ).
fof(f247,plain,
member(x,union(y,z)),
inference(cnf_transformation,[status(esa)],[f113]) ).
fof(f248,plain,
~ member(x,y),
inference(cnf_transformation,[status(esa)],[f114]) ).
fof(f249,plain,
~ member(x,z),
inference(cnf_transformation,[status(esa)],[f115]) ).
fof(f250,plain,
! [X0] : subclass(X0,X0),
inference(destructive_equality_resolution,[status(esa)],[f121]) ).
fof(f477,plain,
! [X0] :
( ~ subclass(union(y,z),X0)
| member(x,X0) ),
inference(resolution,[status(thm)],[f117,f247]) ).
fof(f484,plain,
member(x,universal_class),
inference(resolution,[status(thm)],[f477,f120]) ).
fof(f693,plain,
! [X0] :
( ~ member(x,X0)
| ~ subclass(union(y,z),complement(X0)) ),
inference(resolution,[status(thm)],[f148,f477]) ).
fof(f762,plain,
! [X0,X1] :
( ~ member(x,intersection(complement(X0),complement(X1)))
| ~ subclass(union(y,z),union(X0,X1)) ),
inference(paramodulation,[status(thm)],[f150,f693]) ).
fof(f788,plain,
~ member(x,intersection(complement(y),complement(z))),
inference(resolution,[status(thm)],[f762,f250]) ).
fof(f1053,plain,
( spl0_26
<=> member(x,universal_class) ),
introduced(split_symbol_definition) ).
fof(f1055,plain,
( ~ member(x,universal_class)
| spl0_26 ),
inference(component_clause,[status(thm)],[f1053]) ).
fof(f1081,plain,
( $false
| spl0_26 ),
inference(forward_subsumption_resolution,[status(thm)],[f1055,f484]) ).
fof(f1082,plain,
spl0_26,
inference(contradiction_clause,[status(thm)],[f1081]) ).
fof(f1282,plain,
( spl0_31
<=> member(x,complement(y)) ),
introduced(split_symbol_definition) ).
fof(f1284,plain,
( ~ member(x,complement(y))
| spl0_31 ),
inference(component_clause,[status(thm)],[f1282]) ).
fof(f1285,plain,
( spl0_32
<=> member(x,complement(z)) ),
introduced(split_symbol_definition) ).
fof(f1287,plain,
( ~ member(x,complement(z))
| spl0_32 ),
inference(component_clause,[status(thm)],[f1285]) ).
fof(f1288,plain,
( ~ member(x,complement(y))
| ~ member(x,complement(z)) ),
inference(resolution,[status(thm)],[f788,f147]) ).
fof(f1289,plain,
( ~ spl0_31
| ~ spl0_32 ),
inference(split_clause,[status(thm)],[f1288,f1282,f1285]) ).
fof(f1396,plain,
( spl0_33
<=> member(x,z) ),
introduced(split_symbol_definition) ).
fof(f1397,plain,
( member(x,z)
| ~ spl0_33 ),
inference(component_clause,[status(thm)],[f1396]) ).
fof(f1399,plain,
( ~ member(x,universal_class)
| member(x,z)
| spl0_32 ),
inference(resolution,[status(thm)],[f149,f1287]) ).
fof(f1400,plain,
( ~ spl0_26
| spl0_33
| spl0_32 ),
inference(split_clause,[status(thm)],[f1399,f1053,f1396,f1285]) ).
fof(f1401,plain,
( spl0_34
<=> member(x,y) ),
introduced(split_symbol_definition) ).
fof(f1402,plain,
( member(x,y)
| ~ spl0_34 ),
inference(component_clause,[status(thm)],[f1401]) ).
fof(f1404,plain,
( ~ member(x,universal_class)
| member(x,y)
| spl0_31 ),
inference(resolution,[status(thm)],[f149,f1284]) ).
fof(f1405,plain,
( ~ spl0_26
| spl0_34
| spl0_31 ),
inference(split_clause,[status(thm)],[f1404,f1053,f1401,f1282]) ).
fof(f1408,plain,
( $false
| ~ spl0_33 ),
inference(forward_subsumption_resolution,[status(thm)],[f1397,f249]) ).
fof(f1409,plain,
~ spl0_33,
inference(contradiction_clause,[status(thm)],[f1408]) ).
fof(f1410,plain,
( $false
| ~ spl0_34 ),
inference(forward_subsumption_resolution,[status(thm)],[f1402,f248]) ).
fof(f1411,plain,
~ spl0_34,
inference(contradiction_clause,[status(thm)],[f1410]) ).
fof(f1412,plain,
$false,
inference(sat_refutation,[status(thm)],[f1082,f1289,f1400,f1405,f1409,f1411]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : SET166-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.13/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35 % Computer : n018.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Apr 29 22:02:43 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.36 % Drodi V3.6.0
% 1.52/0.59 % Refutation found
% 1.52/0.59 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 1.52/0.59 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 1.76/0.61 % Elapsed time: 0.255252 seconds
% 1.76/0.61 % CPU time: 1.847148 seconds
% 1.76/0.61 % Total memory used: 140.249 MB
% 1.76/0.61 % Net memory used: 139.287 MB
%------------------------------------------------------------------------------