TSTP Solution File: SET168-6 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SET168-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n014.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 12:34:11 EDT 2023
% Result : Unsatisfiable 2.61s 0.74s
% Output : CNFRefutation 2.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 11
% Syntax : Number of formulae : 37 ( 11 unt; 0 def)
% Number of atoms : 70 ( 2 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 63 ( 30 ~; 30 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 4 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 39 (; 39 !; 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(f22,axiom,
! [Z,X,Y] :
( ~ member(Z,intersection(X,Y))
| member(Z,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,z),
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(f144,plain,
! [Z,Y] :
( ! [X] : ~ member(Z,intersection(X,Y))
| member(Z,Y) ),
inference(miniscoping,[status(esa)],[f22]) ).
fof(f145,plain,
! [X0,X1,X2] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X2) ),
inference(cnf_transformation,[status(esa)],[f144]) ).
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,z),
inference(cnf_transformation,[status(esa)],[f113]) ).
fof(f247,plain,
~ member(x,union(y,z)),
inference(cnf_transformation,[status(esa)],[f114]) ).
fof(f472,plain,
! [X0] :
( ~ subclass(z,X0)
| member(x,X0) ),
inference(resolution,[status(thm)],[f116,f246]) ).
fof(f742,plain,
( spl0_17
<=> member(x,universal_class) ),
introduced(split_symbol_definition) ).
fof(f744,plain,
( ~ member(x,universal_class)
| spl0_17 ),
inference(component_clause,[status(thm)],[f742]) ).
fof(f769,plain,
( ~ subclass(z,universal_class)
| spl0_17 ),
inference(resolution,[status(thm)],[f744,f472]) ).
fof(f770,plain,
( $false
| spl0_17 ),
inference(forward_subsumption_resolution,[status(thm)],[f769,f119]) ).
fof(f771,plain,
spl0_17,
inference(contradiction_clause,[status(thm)],[f770]) ).
fof(f1873,plain,
( spl0_79
<=> member(x,z) ),
introduced(split_symbol_definition) ).
fof(f1875,plain,
( ~ member(x,z)
| spl0_79 ),
inference(component_clause,[status(thm)],[f1873]) ).
fof(f2115,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(f2340,plain,
! [X0,X1,X2] :
( ~ member(X0,universal_class)
| member(X0,union(X1,X2))
| member(X0,complement(X2)) ),
inference(resolution,[status(thm)],[f2115,f145]) ).
fof(f4529,plain,
( $false
| spl0_79 ),
inference(forward_subsumption_resolution,[status(thm)],[f1875,f246]) ).
fof(f4530,plain,
spl0_79,
inference(contradiction_clause,[status(thm)],[f4529]) ).
fof(f4595,plain,
( spl0_248
<=> member(x,complement(z)) ),
introduced(split_symbol_definition) ).
fof(f4596,plain,
( member(x,complement(z))
| ~ spl0_248 ),
inference(component_clause,[status(thm)],[f4595]) ).
fof(f4598,plain,
( ~ member(x,universal_class)
| member(x,complement(z)) ),
inference(resolution,[status(thm)],[f2340,f247]) ).
fof(f4599,plain,
( ~ spl0_17
| spl0_248 ),
inference(split_clause,[status(thm)],[f4598,f742,f4595]) ).
fof(f4970,plain,
( ~ member(x,z)
| ~ spl0_248 ),
inference(resolution,[status(thm)],[f4596,f147]) ).
fof(f4971,plain,
( ~ spl0_79
| ~ spl0_248 ),
inference(split_clause,[status(thm)],[f4970,f1873,f4595]) ).
fof(f4973,plain,
$false,
inference(sat_refutation,[status(thm)],[f771,f4530,f4599,f4971]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET168-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35 % Computer : n014.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 : Tue May 30 10:08:34 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.36 % Drodi V3.5.1
% 2.61/0.74 % Refutation found
% 2.61/0.74 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 2.61/0.74 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 3.05/0.77 % Elapsed time: 0.407189 seconds
% 3.05/0.77 % CPU time: 3.044588 seconds
% 3.05/0.77 % Memory used: 168.439 MB
%------------------------------------------------------------------------------