TSTP Solution File: SET240-6 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SET240-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n013.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 12:34:19 EDT 2023
% Result : Unsatisfiable 0.16s 0.46s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 16 ( 8 unt; 0 def)
% Number of atoms : 24 ( 2 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 18 ( 10 ~; 8 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-3 aty)
% Number of variables : 36 (; 36 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f14,axiom,
! [U,V,X,Y] :
( ~ member(ordered_pair(U,V),cross_product(X,Y))
| member(U,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(f29,axiom,
! [X,Y,Xr] : intersection(cross_product(X,Y),Xr) = restrict(Xr,X,Y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f113,negated_conjecture,
member(ordered_pair(u,v),restrict(xr,x,y)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f114,negated_conjecture,
~ member(u,x),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f132,plain,
! [U,X] :
( ! [V,Y] : ~ member(ordered_pair(U,V),cross_product(X,Y))
| member(U,X) ),
inference(miniscoping,[status(esa)],[f14]) ).
fof(f133,plain,
! [X0,X1,X2,X3] :
( ~ member(ordered_pair(X0,X1),cross_product(X2,X3))
| member(X0,X2) ),
inference(cnf_transformation,[status(esa)],[f132]) ).
fof(f142,plain,
! [Z,X] :
( ! [Y] : ~ member(Z,intersection(X,Y))
| member(Z,X) ),
inference(miniscoping,[status(esa)],[f21]) ).
fof(f143,plain,
! [X0,X1,X2] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f142]) ).
fof(f152,plain,
! [X0,X1,X2] : intersection(cross_product(X0,X1),X2) = restrict(X2,X0,X1),
inference(cnf_transformation,[status(esa)],[f29]) ).
fof(f246,plain,
member(ordered_pair(u,v),restrict(xr,x,y)),
inference(cnf_transformation,[status(esa)],[f113]) ).
fof(f247,plain,
~ member(u,x),
inference(cnf_transformation,[status(esa)],[f114]) ).
fof(f262,plain,
! [X0,X1,X2,X3] :
( ~ member(X0,restrict(X1,X2,X3))
| member(X0,cross_product(X2,X3)) ),
inference(paramodulation,[status(thm)],[f152,f143]) ).
fof(f288,plain,
! [X0,X1,X2,X3,X4] :
( ~ member(ordered_pair(X0,X1),restrict(X2,X3,X4))
| member(X0,X3) ),
inference(resolution,[status(thm)],[f262,f133]) ).
fof(f292,plain,
member(u,x),
inference(resolution,[status(thm)],[f288,f246]) ).
fof(f293,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f292,f247]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : SET240-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.05/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.30 % Computer : n013.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Tue May 30 10:12:05 EDT 2023
% 0.09/0.30 % CPUTime :
% 0.16/0.31 % Drodi V3.5.1
% 0.16/0.46 % Refutation found
% 0.16/0.46 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.16/0.46 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.16/0.48 % Elapsed time: 0.168914 seconds
% 0.16/0.48 % CPU time: 0.520149 seconds
% 0.16/0.48 % Memory used: 58.410 MB
%------------------------------------------------------------------------------