TSTP Solution File: SET130-6 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SET130-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n029.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 20:39:13 EDT 2024
% Result : Unsatisfiable 5.73s 1.17s
% Output : CNFRefutation 5.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 9
% Syntax : Number of formulae : 29 ( 14 unt; 0 def)
% Number of atoms : 46 ( 6 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 34 ( 17 ~; 17 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-2 aty)
% Number of variables : 41 ( 41 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f9,axiom,
! [X,Y] :
( ~ member(X,universal_class)
| member(X,unordered_pair(X,Y)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [X] : unordered_pair(X,X) = singleton(X),
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(f92,axiom,
! [X,Y] : union(singleton(X),Y) = set_builder(X,Y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f93,negated_conjecture,
member(u,universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f94,negated_conjecture,
~ member(u,set_builder(u,set_builder(y,set_builder(z,null_class)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f105,plain,
! [X] :
( ~ member(X,universal_class)
| ! [Y] : member(X,unordered_pair(X,Y)) ),
inference(miniscoping,[status(esa)],[f9]) ).
fof(f106,plain,
! [X0,X1] :
( ~ member(X0,universal_class)
| member(X0,unordered_pair(X0,X1)) ),
inference(cnf_transformation,[status(esa)],[f105]) ).
fof(f110,plain,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
inference(cnf_transformation,[status(esa)],[f12]) ).
fof(f122,plain,
! [Z,X] :
( ! [Y] : ~ member(Z,intersection(X,Y))
| member(Z,X) ),
inference(miniscoping,[status(esa)],[f21]) ).
fof(f123,plain,
! [X0,X1,X2] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f122]) ).
fof(f127,plain,
! [X0,X1] :
( ~ member(X0,complement(X1))
| ~ member(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f24]) ).
fof(f128,plain,
! [X0,X1] :
( ~ member(X0,universal_class)
| member(X0,complement(X1))
| member(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f25]) ).
fof(f129,plain,
! [X0,X1] : complement(intersection(complement(X0),complement(X1))) = union(X0,X1),
inference(cnf_transformation,[status(esa)],[f26]) ).
fof(f200,plain,
! [X0,X1] : union(singleton(X0),X1) = set_builder(X0,X1),
inference(cnf_transformation,[status(esa)],[f92]) ).
fof(f201,plain,
member(u,universal_class),
inference(cnf_transformation,[status(esa)],[f93]) ).
fof(f202,plain,
~ member(u,set_builder(u,set_builder(y,set_builder(z,null_class)))),
inference(cnf_transformation,[status(esa)],[f94]) ).
fof(f240,plain,
! [X0] :
( ~ member(X0,universal_class)
| member(X0,singleton(X0)) ),
inference(paramodulation,[status(thm)],[f110,f106]) ).
fof(f1265,plain,
! [X0] :
( member(u,complement(X0))
| member(u,X0) ),
inference(resolution,[status(thm)],[f128,f201]) ).
fof(f1268,plain,
! [X0,X1] :
( member(u,union(X0,X1))
| member(u,intersection(complement(X0),complement(X1))) ),
inference(paramodulation,[status(thm)],[f129,f1265]) ).
fof(f1937,plain,
! [X0,X1] :
( member(u,complement(X0))
| member(u,union(X0,X1)) ),
inference(resolution,[status(thm)],[f123,f1268]) ).
fof(f1971,plain,
! [X0,X1] :
( member(u,complement(singleton(X0)))
| member(u,set_builder(X0,X1)) ),
inference(paramodulation,[status(thm)],[f200,f1937]) ).
fof(f1992,plain,
member(u,complement(singleton(u))),
inference(resolution,[status(thm)],[f1971,f202]) ).
fof(f2002,plain,
~ member(u,singleton(u)),
inference(resolution,[status(thm)],[f1992,f127]) ).
fof(f2705,plain,
~ member(u,universal_class),
inference(resolution,[status(thm)],[f240,f2002]) ).
fof(f2706,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f2705,f201]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET130-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.13/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.33 % Computer : n029.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Mon Apr 29 22:09:34 EDT 2024
% 0.14/0.33 % CPUTime :
% 0.20/0.34 % Drodi V3.6.0
% 5.73/1.17 % Refutation found
% 5.73/1.17 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 5.73/1.17 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 5.73/1.19 % Elapsed time: 0.844873 seconds
% 5.73/1.19 % CPU time: 6.547553 seconds
% 5.73/1.19 % Total memory used: 119.510 MB
% 5.73/1.19 % Net memory used: 115.465 MB
%------------------------------------------------------------------------------