TSTP Solution File: SET090-7 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SET090-7 : 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 : Wed May 31 12:33:57 EDT 2023
% Result : Unsatisfiable 0.12s 0.37s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 14 ( 6 unt; 0 def)
% Number of atoms : 25 ( 10 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 25 ( 14 ~; 11 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-1 aty)
% Number of variables : 10 (; 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f127,axiom,
! [X,Y] :
( singleton(X) != singleton(Y)
| ~ member(X,universal_class)
| X = Y ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f130,axiom,
! [Y] :
( ~ member(Y,universal_class)
| member(member_of(singleton(Y)),universal_class) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f131,axiom,
! [Y] :
( ~ member(Y,universal_class)
| singleton(member_of(singleton(Y))) = singleton(Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f134,negated_conjecture,
member(u,universal_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f135,negated_conjecture,
member_of(singleton(u)) != u,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f289,plain,
! [X0,X1] :
( singleton(X0) != singleton(X1)
| ~ member(X0,universal_class)
| X0 = X1 ),
inference(cnf_transformation,[status(esa)],[f127]) ).
fof(f293,plain,
! [X0] :
( ~ member(X0,universal_class)
| member(member_of(singleton(X0)),universal_class) ),
inference(cnf_transformation,[status(esa)],[f130]) ).
fof(f294,plain,
! [X0] :
( ~ member(X0,universal_class)
| singleton(member_of(singleton(X0))) = singleton(X0) ),
inference(cnf_transformation,[status(esa)],[f131]) ).
fof(f297,plain,
member(u,universal_class),
inference(cnf_transformation,[status(esa)],[f134]) ).
fof(f298,plain,
member_of(singleton(u)) != u,
inference(cnf_transformation,[status(esa)],[f135]) ).
fof(f361,plain,
! [X0] :
( ~ member(X0,universal_class)
| ~ member(member_of(singleton(X0)),universal_class)
| member_of(singleton(X0)) = X0 ),
inference(resolution,[status(thm)],[f294,f289]) ).
fof(f362,plain,
! [X0] :
( ~ member(X0,universal_class)
| member_of(singleton(X0)) = X0 ),
inference(forward_subsumption_resolution,[status(thm)],[f361,f293]) ).
fof(f449,plain,
~ member(u,universal_class),
inference(resolution,[status(thm)],[f362,f298]) ).
fof(f450,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f449,f297]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET090-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.11/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.33 % Computer : n005.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % 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 : Tue May 30 10:13:36 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.12/0.35 % Drodi V3.5.1
% 0.12/0.37 % Refutation found
% 0.12/0.37 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.37 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.37 % Elapsed time: 0.028796 seconds
% 0.12/0.37 % CPU time: 0.047759 seconds
% 0.12/0.37 % Memory used: 15.545 MB
%------------------------------------------------------------------------------