TSTP Solution File: SET238-6 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SET238-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n003.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 20:39:28 EDT 2024
% Result : Unsatisfiable 0.16s 0.33s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 17 ( 9 unt; 0 def)
% Number of atoms : 25 ( 7 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 19 ( 11 ~; 8 |; 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 : 10 ( 10 usr; 4 con; 0-3 aty)
% Number of variables : 32 ( 32 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f17,axiom,
! [Z,X,Y] :
( ~ member(Z,cross_product(X,Y))
| ordered_pair(first(Z),second(Z)) = Z ),
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(z,restrict(xr,x,y)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f114,negated_conjecture,
~ member(ordered_pair(first(z),second(z)),restrict(xr,x,y)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f137,plain,
! [Z] :
( ! [X,Y] : ~ member(Z,cross_product(X,Y))
| ordered_pair(first(Z),second(Z)) = Z ),
inference(miniscoping,[status(esa)],[f17]) ).
fof(f138,plain,
! [X0,X1,X2] :
( ~ member(X0,cross_product(X1,X2))
| ordered_pair(first(X0),second(X0)) = X0 ),
inference(cnf_transformation,[status(esa)],[f137]) ).
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(z,restrict(xr,x,y)),
inference(cnf_transformation,[status(esa)],[f113]) ).
fof(f247,plain,
~ member(ordered_pair(first(z),second(z)),restrict(xr,x,y)),
inference(cnf_transformation,[status(esa)],[f114]) ).
fof(f270,plain,
! [X0,X1,X2,X3] :
( ~ member(X0,restrict(X1,X2,X3))
| member(X0,cross_product(X2,X3)) ),
inference(paramodulation,[status(thm)],[f152,f143]) ).
fof(f276,plain,
! [X0,X1,X2,X3] :
( ~ member(X0,restrict(X1,X2,X3))
| ordered_pair(first(X0),second(X0)) = X0 ),
inference(resolution,[status(thm)],[f270,f138]) ).
fof(f277,plain,
ordered_pair(first(z),second(z)) = z,
inference(resolution,[status(thm)],[f276,f246]) ).
fof(f280,plain,
~ member(z,restrict(xr,x,y)),
inference(backward_demodulation,[status(thm)],[f277,f247]) ).
fof(f281,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f280,f246]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10 % Problem : SET238-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.03/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31 % Computer : n003.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Mon Apr 29 21:52:18 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.16/0.32 % Drodi V3.6.0
% 0.16/0.33 % Refutation found
% 0.16/0.33 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.16/0.33 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.16/0.34 % Elapsed time: 0.027901 seconds
% 0.16/0.34 % CPU time: 0.083141 seconds
% 0.16/0.34 % Total memory used: 24.568 MB
% 0.16/0.34 % Net memory used: 24.516 MB
%------------------------------------------------------------------------------