TSTP Solution File: SET241-6 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SET241-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n027.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 0.20s 0.44s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 16 ( 9 unt; 0 def)
% Number of atoms : 23 ( 2 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 16 ( 9 ~; 7 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 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 : 31 (; 31 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f15,axiom,
! [U,V,X,Y] :
( ~ member(ordered_pair(U,V),cross_product(X,Y))
| member(V,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,axiom,
! [Z,X,Y] :
( ~ member(Z,intersection(X,Y))
| member(Z,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f29,axiom,
! [X,Y,Xr] : intersection(cross_product(X,Y),Xr) = restrict(Xr,X,Y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f113,negated_conjecture,
member(ordered_pair(u,v),restrict(xr,x,y)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f114,negated_conjecture,
~ member(v,y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f134,plain,
! [V,Y] :
( ! [U,X] : ~ member(ordered_pair(U,V),cross_product(X,Y))
| member(V,Y) ),
inference(miniscoping,[status(esa)],[f15]) ).
fof(f135,plain,
! [X0,X1,X2,X3] :
( ~ member(ordered_pair(X0,X1),cross_product(X2,X3))
| member(X1,X3) ),
inference(cnf_transformation,[status(esa)],[f134]) ).
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(v,y),
inference(cnf_transformation,[status(esa)],[f114]) ).
fof(f1231,plain,
! [X0,X1,X2,X3] :
( ~ member(X0,restrict(X1,X2,X3))
| member(X0,cross_product(X2,X3)) ),
inference(paramodulation,[status(thm)],[f152,f143]) ).
fof(f1374,plain,
member(ordered_pair(u,v),cross_product(x,y)),
inference(resolution,[status(thm)],[f1231,f246]) ).
fof(f1379,plain,
member(v,y),
inference(resolution,[status(thm)],[f1374,f135]) ).
fof(f1380,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f1379,f247]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET241-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.11/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34 % Computer : n027.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue May 30 10:41:18 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.14/0.35 % Drodi V3.5.1
% 0.20/0.44 % Refutation found
% 0.20/0.44 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.20/0.44 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.20/0.45 % Elapsed time: 0.105279 seconds
% 0.20/0.45 % CPU time: 0.677381 seconds
% 0.20/0.45 % Memory used: 59.509 MB
%------------------------------------------------------------------------------