TSTP Solution File: LAT008-1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : LAT008-1 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n001.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 12:16:43 EDT 2023
% Result : Unsatisfiable 0.15s 0.36s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 3
% Syntax : Number of formulae : 29 ( 29 unt; 0 def)
% Number of atoms : 29 ( 28 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 58 (; 58 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y] : meet(X,join(X,Y)) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X,Y,Z] : meet(X,join(Y,Z)) = join(meet(Z,X),meet(Y,X)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
join(a,meet(a,b)) != a,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,plain,
! [X0,X1] : meet(X0,join(X0,X1)) = X0,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f5,plain,
! [X0,X1,X2] : meet(X0,join(X1,X2)) = join(meet(X2,X0),meet(X1,X0)),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f6,plain,
join(a,meet(a,b)) != a,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f7,plain,
! [X0,X1,X2] : meet(join(X0,X1),join(X2,X0)) = join(X0,meet(X2,join(X0,X1))),
inference(paramodulation,[status(thm)],[f4,f5]) ).
fof(f9,plain,
! [X0,X1,X2] : meet(meet(X0,X1),meet(X1,join(X2,X0))) = meet(X0,X1),
inference(paramodulation,[status(thm)],[f5,f4]) ).
fof(f14,plain,
! [X0,X1] : meet(meet(X0,X1),X1) = meet(X0,X1),
inference(paramodulation,[status(thm)],[f4,f9]) ).
fof(f21,plain,
! [X0,X1,X2] : meet(X0,join(meet(X1,X0),X2)) = join(meet(X2,X0),meet(X1,X0)),
inference(paramodulation,[status(thm)],[f14,f5]) ).
fof(f22,plain,
! [X0,X1,X2] : meet(X0,join(meet(X1,X0),X2)) = meet(X0,join(X1,X2)),
inference(forward_demodulation,[status(thm)],[f5,f21]) ).
fof(f23,plain,
! [X0,X1,X2] : meet(X0,join(X1,meet(X2,X0))) = join(meet(X2,X0),meet(X1,X0)),
inference(paramodulation,[status(thm)],[f14,f5]) ).
fof(f24,plain,
! [X0,X1,X2] : meet(X0,join(X1,meet(X2,X0))) = meet(X0,join(X1,X2)),
inference(forward_demodulation,[status(thm)],[f5,f23]) ).
fof(f58,plain,
! [X0,X1,X2] : meet(X0,meet(X0,join(X1,X2))) = meet(X0,join(meet(X2,X0),X1)),
inference(paramodulation,[status(thm)],[f5,f24]) ).
fof(f59,plain,
! [X0,X1,X2] : meet(X0,meet(X0,join(X1,X2))) = meet(X0,join(X2,X1)),
inference(forward_demodulation,[status(thm)],[f22,f58]) ).
fof(f122,plain,
! [X0,X1] : meet(X0,X0) = meet(X0,join(X1,X0)),
inference(paramodulation,[status(thm)],[f4,f59]) ).
fof(f138,plain,
! [X0] : meet(X0,X0) = X0,
inference(paramodulation,[status(thm)],[f4,f122]) ).
fof(f156,plain,
! [X0,X1] : X0 = meet(X0,join(X1,X0)),
inference(backward_demodulation,[status(thm)],[f138,f122]) ).
fof(f166,plain,
! [X0,X1] : meet(X0,join(X0,X1)) = join(meet(X1,X0),X0),
inference(paramodulation,[status(thm)],[f138,f5]) ).
fof(f167,plain,
! [X0,X1] : X0 = join(meet(X1,X0),X0),
inference(forward_demodulation,[status(thm)],[f4,f166]) ).
fof(f333,plain,
! [X0] : X0 = join(X0,X0),
inference(paramodulation,[status(thm)],[f138,f167]) ).
fof(f352,plain,
! [X0,X1] : meet(X0,X1) = meet(X1,join(X0,X0)),
inference(paramodulation,[status(thm)],[f5,f333]) ).
fof(f353,plain,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
inference(forward_demodulation,[status(thm)],[f333,f352]) ).
fof(f376,plain,
! [X0,X1] : meet(X0,join(X1,X0)) = join(X0,meet(X1,join(X0,X0))),
inference(paramodulation,[status(thm)],[f333,f7]) ).
fof(f377,plain,
! [X0,X1] : X0 = join(X0,meet(X1,join(X0,X0))),
inference(forward_demodulation,[status(thm)],[f156,f376]) ).
fof(f378,plain,
! [X0,X1] : X0 = join(X0,meet(X1,X0)),
inference(forward_demodulation,[status(thm)],[f333,f377]) ).
fof(f437,plain,
! [X0,X1] : X0 = join(X0,meet(X0,X1)),
inference(paramodulation,[status(thm)],[f353,f378]) ).
fof(f511,plain,
a != a,
inference(backward_demodulation,[status(thm)],[f437,f6]) ).
fof(f512,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f511]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : LAT008-1 : TPTP v8.1.2. Released v2.2.0.
% 0.05/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31 % Computer : n001.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 : Tue May 30 09:59:00 EDT 2023
% 0.10/0.31 % CPUTime :
% 0.15/0.31 % Drodi V3.5.1
% 0.15/0.36 % Refutation found
% 0.15/0.36 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.36 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/0.36 % Elapsed time: 0.043882 seconds
% 0.15/0.36 % CPU time: 0.055623 seconds
% 0.15/0.36 % Memory used: 1.369 MB
%------------------------------------------------------------------------------