TSTP Solution File: LAT006-1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : LAT006-1 : 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 0.56s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 3
% Syntax : Number of formulae : 46 ( 46 unt; 0 def)
% Number of atoms : 46 ( 45 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 113 (; 113 !; 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,
meet(meet(a,b),c) != meet(a,meet(b,c)),
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,
meet(meet(a,b),c) != meet(a,meet(b,c)),
inference(cnf_transformation,[status(esa)],[f3]) ).
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(f15,plain,
! [X0,X1] : meet(meet(X0,X1),X1) = meet(X0,X1),
inference(paramodulation,[status(thm)],[f4,f9]) ).
fof(f16,plain,
! [X0,X1,X2,X3] : meet(meet(meet(X0,X1),X2),meet(X2,meet(X1,join(X0,X3)))) = meet(meet(X0,X1),X2),
inference(paramodulation,[status(thm)],[f5,f9]) ).
fof(f18,plain,
! [X0,X1,X2,X3] : meet(meet(X0,join(X1,X2)),join(X3,meet(X2,X0))) = join(meet(X2,X0),meet(X3,meet(X0,join(X1,X2)))),
inference(paramodulation,[status(thm)],[f9,f5]) ).
fof(f23,plain,
! [X0,X1,X2] : meet(X0,join(meet(X1,X0),X2)) = join(meet(X2,X0),meet(X1,X0)),
inference(paramodulation,[status(thm)],[f15,f5]) ).
fof(f24,plain,
! [X0,X1,X2] : meet(X0,join(meet(X1,X0),X2)) = meet(X0,join(X1,X2)),
inference(forward_demodulation,[status(thm)],[f5,f23]) ).
fof(f25,plain,
! [X0,X1,X2] : meet(X0,join(X1,meet(X2,X0))) = join(meet(X2,X0),meet(X1,X0)),
inference(paramodulation,[status(thm)],[f15,f5]) ).
fof(f26,plain,
! [X0,X1,X2] : meet(X0,join(X1,meet(X2,X0))) = meet(X0,join(X1,X2)),
inference(forward_demodulation,[status(thm)],[f5,f25]) ).
fof(f28,plain,
! [X0,X1,X2] : meet(X0,meet(X0,join(X1,X2))) = meet(X0,join(X2,meet(X1,X0))),
inference(paramodulation,[status(thm)],[f5,f24]) ).
fof(f29,plain,
! [X0,X1,X2] : meet(X0,meet(X0,join(X1,X2))) = meet(X0,join(X2,X1)),
inference(forward_demodulation,[status(thm)],[f26,f28]) ).
fof(f41,plain,
! [X0,X1] : meet(X0,X0) = meet(X0,join(X1,X0)),
inference(paramodulation,[status(thm)],[f4,f29]) ).
fof(f52,plain,
! [X0] : meet(X0,X0) = X0,
inference(paramodulation,[status(thm)],[f4,f41]) ).
fof(f84,plain,
! [X0,X1] : meet(X0,join(X0,X1)) = join(meet(X1,X0),X0),
inference(paramodulation,[status(thm)],[f52,f5]) ).
fof(f85,plain,
! [X0,X1] : X0 = join(meet(X1,X0),X0),
inference(forward_demodulation,[status(thm)],[f4,f84]) ).
fof(f86,plain,
! [X0,X1] : meet(X0,join(X1,X0)) = join(X0,meet(X1,X0)),
inference(paramodulation,[status(thm)],[f52,f5]) ).
fof(f92,plain,
! [X0] : X0 = join(X0,X0),
inference(paramodulation,[status(thm)],[f52,f85]) ).
fof(f93,plain,
! [X0,X1] : meet(X0,X0) = meet(X0,join(X1,X0)),
inference(paramodulation,[status(thm)],[f85,f24]) ).
fof(f94,plain,
! [X0,X1] : X0 = meet(X0,join(X1,X0)),
inference(forward_demodulation,[status(thm)],[f52,f93]) ).
fof(f95,plain,
! [X0,X1] : X0 = join(X0,meet(X1,X0)),
inference(forward_demodulation,[status(thm)],[f86,f94]) ).
fof(f104,plain,
! [X0,X1] : meet(X0,X1) = meet(X1,join(X0,X0)),
inference(paramodulation,[status(thm)],[f5,f92]) ).
fof(f105,plain,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
inference(forward_demodulation,[status(thm)],[f92,f104]) ).
fof(f220,plain,
! [X0,X1] : X0 = join(X0,meet(X0,X1)),
inference(paramodulation,[status(thm)],[f105,f95]) ).
fof(f221,plain,
! [X0,X1] : X0 = join(meet(X0,X1),X0),
inference(paramodulation,[status(thm)],[f105,f85]) ).
fof(f222,plain,
! [X0,X1,X2] : meet(X0,join(meet(X0,X1),X2)) = meet(X0,join(X1,X2)),
inference(paramodulation,[status(thm)],[f105,f24]) ).
fof(f641,plain,
! [X0,X1,X2] : meet(meet(X0,X1),X2) = join(meet(meet(X0,X1),X2),meet(meet(X0,X1),X2)),
inference(paramodulation,[status(thm)],[f16,f221]) ).
fof(f642,plain,
! [X0,X1,X2] : meet(meet(X0,X1),X2) = meet(X2,join(meet(X0,X1),meet(X0,X1))),
inference(forward_demodulation,[status(thm)],[f5,f641]) ).
fof(f643,plain,
! [X0,X1,X2] : meet(meet(X0,X1),X2) = meet(X2,meet(X1,join(X0,X0))),
inference(forward_demodulation,[status(thm)],[f5,f642]) ).
fof(f644,plain,
! [X0,X1,X2] : meet(meet(X0,X1),X2) = meet(X2,meet(X1,X0)),
inference(forward_demodulation,[status(thm)],[f92,f643]) ).
fof(f2053,plain,
! [X0,X1,X2] : meet(meet(X0,join(X1,X2)),X2) = join(meet(X2,X0),meet(X2,meet(X0,join(X1,X2)))),
inference(paramodulation,[status(thm)],[f220,f18]) ).
fof(f2487,plain,
! [X0,X1,X2] : meet(X0,meet(X1,X2)) = meet(X0,meet(X2,X1)),
inference(paramodulation,[status(thm)],[f105,f644]) ).
fof(f3915,plain,
! [X0,X1,X2] : meet(X0,meet(X1,join(X2,X0))) = meet(X0,join(X1,meet(X2,X1))),
inference(paramodulation,[status(thm)],[f5,f222]) ).
fof(f3916,plain,
! [X0,X1,X2] : meet(X0,meet(X1,join(X2,X0))) = meet(X0,X1),
inference(forward_demodulation,[status(thm)],[f95,f3915]) ).
fof(f4098,plain,
! [X0,X1,X2] : meet(meet(X0,join(X1,X2)),X2) = join(meet(X2,X0),meet(X2,X0)),
inference(backward_demodulation,[status(thm)],[f3916,f2053]) ).
fof(f4099,plain,
! [X0,X1,X2] : meet(meet(X0,join(X1,X2)),X2) = meet(X0,join(X2,X2)),
inference(forward_demodulation,[status(thm)],[f5,f4098]) ).
fof(f4100,plain,
! [X0,X1,X2] : meet(meet(X0,join(X1,X2)),X2) = meet(X0,X2),
inference(forward_demodulation,[status(thm)],[f92,f4099]) ).
fof(f4129,plain,
! [X0,X1,X2] : meet(X0,meet(join(X1,X0),X2)) = meet(X0,X2),
inference(paramodulation,[status(thm)],[f2487,f3916]) ).
fof(f4474,plain,
! [X0,X1,X2] : meet(meet(X0,X1),meet(X1,X2)) = meet(X0,meet(X1,X2)),
inference(paramodulation,[status(thm)],[f220,f4100]) ).
fof(f4670,plain,
! [X0,X1,X2] : meet(meet(X0,X1),meet(X1,X2)) = meet(meet(X0,X1),X2),
inference(paramodulation,[status(thm)],[f95,f4129]) ).
fof(f4671,plain,
! [X0,X1,X2] : meet(X0,meet(X1,X2)) = meet(meet(X0,X1),X2),
inference(forward_demodulation,[status(thm)],[f4474,f4670]) ).
fof(f4672,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f6,f4671]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.12 % Problem : LAT006-1 : TPTP v8.1.2. Released v2.2.0.
% 0.09/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.32 % Computer : n001.cluster.edu
% 0.09/0.32 % Model : x86_64 x86_64
% 0.09/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.32 % Memory : 8042.1875MB
% 0.09/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.32 % CPULimit : 300
% 0.09/0.32 % WCLimit : 300
% 0.09/0.32 % DateTime : Tue May 30 09:58:00 EDT 2023
% 0.09/0.32 % CPUTime :
% 0.09/0.33 % Drodi V3.5.1
% 0.15/0.56 % Refutation found
% 0.15/0.56 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.56 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/0.58 % Elapsed time: 0.246985 seconds
% 0.15/0.58 % CPU time: 1.700902 seconds
% 0.15/0.58 % Memory used: 21.400 MB
%------------------------------------------------------------------------------