TSTP Solution File: SET060-7 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SET060-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n022.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 12:33:46 EDT 2023
% Result : Unsatisfiable 0.17s 0.58s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 14 ( 6 unt; 0 def)
% Number of atoms : 22 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 19 ( 11 ~; 8 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 22 (; 22 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f21,axiom,
! [Z,X,Y] :
( ~ member(Z,intersection(X,Y))
| member(Z,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,axiom,
! [Z,X,Y] :
( ~ member(Z,intersection(X,Y))
| member(Z,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f24,axiom,
! [Z,X] :
( ~ member(Z,complement(X))
| ~ member(Z,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f102,negated_conjecture,
member(y,intersection(complement(x),x)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f130,plain,
! [Z,X] :
( ! [Y] : ~ member(Z,intersection(X,Y))
| member(Z,X) ),
inference(miniscoping,[status(esa)],[f21]) ).
fof(f131,plain,
! [X0,X1,X2] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f130]) ).
fof(f132,plain,
! [Z,Y] :
( ! [X] : ~ member(Z,intersection(X,Y))
| member(Z,Y) ),
inference(miniscoping,[status(esa)],[f22]) ).
fof(f133,plain,
! [X0,X1,X2] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X2) ),
inference(cnf_transformation,[status(esa)],[f132]) ).
fof(f135,plain,
! [X0,X1] :
( ~ member(X0,complement(X1))
| ~ member(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f24]) ).
fof(f223,plain,
member(y,intersection(complement(x),x)),
inference(cnf_transformation,[status(esa)],[f102]) ).
fof(f227,plain,
member(y,complement(x)),
inference(resolution,[status(thm)],[f131,f223]) ).
fof(f228,plain,
~ member(y,x),
inference(resolution,[status(thm)],[f227,f135]) ).
fof(f229,plain,
member(y,x),
inference(resolution,[status(thm)],[f133,f223]) ).
fof(f230,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f229,f228]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET060-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.10/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.34 % Computer : n022.cluster.edu
% 0.11/0.34 % Model : x86_64 x86_64
% 0.11/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.34 % Memory : 8042.1875MB
% 0.11/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.34 % CPULimit : 300
% 0.11/0.34 % WCLimit : 300
% 0.11/0.34 % DateTime : Tue May 30 10:11:42 EDT 2023
% 0.11/0.34 % CPUTime :
% 0.16/0.35 % Drodi V3.5.1
% 0.17/0.58 % Refutation found
% 0.17/0.58 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.17/0.58 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.17/0.58 % Elapsed time: 0.021481 seconds
% 0.17/0.58 % CPU time: 0.015742 seconds
% 0.17/0.58 % Memory used: 3.792 MB
%------------------------------------------------------------------------------