TSTP Solution File: LAT090-1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : LAT090-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n015.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 20:25:19 EDT 2024
% Result : Unsatisfiable 0.10s 0.35s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 6
% Syntax : Number of formulae : 27 ( 27 unt; 0 def)
% Number of atoms : 27 ( 26 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 49 ( 49 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B] : join(meet(A,B),meet(A,join(A,B))) = A,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B] : join(meet(A,A),meet(B,join(A,A))) = A,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [A,B] : join(meet(A,B),meet(B,join(A,B))) = B,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [A,B,C] : meet(meet(join(A,B),join(C,A)),A) = A,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [A,B,C] : join(join(meet(A,B),meet(C,A)),A) = A,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
join(a,a) != a,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,plain,
! [X0,X1] : join(meet(X0,X1),meet(X0,join(X0,X1))) = X0,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f8,plain,
! [X0,X1] : join(meet(X0,X0),meet(X1,join(X0,X0))) = X0,
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f9,plain,
! [X0,X1] : join(meet(X0,X1),meet(X1,join(X0,X1))) = X1,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f10,plain,
! [X0,X1,X2] : meet(meet(join(X0,X1),join(X2,X0)),X0) = X0,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f11,plain,
! [X0,X1,X2] : join(join(meet(X0,X1),meet(X2,X0)),X0) = X0,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f12,plain,
join(a,a) != a,
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f16,plain,
! [X0,X1] : meet(X0,X0) = join(meet(meet(X0,X0),meet(X1,join(X0,X0))),meet(meet(X0,X0),X0)),
inference(paramodulation,[status(thm)],[f8,f7]) ).
fof(f19,plain,
! [X0,X1] : meet(X0,join(X1,X0)) = join(meet(meet(X1,X0),meet(X0,join(X1,X0))),meet(meet(X0,join(X1,X0)),X0)),
inference(paramodulation,[status(thm)],[f9,f9]) ).
fof(f36,plain,
! [X0,X1] : X0 = meet(meet(join(X0,X1),X0),X0),
inference(paramodulation,[status(thm)],[f11,f10]) ).
fof(f52,plain,
! [X0,X1] : meet(X0,X1) = meet(meet(X1,meet(X0,X1)),meet(X0,X1)),
inference(paramodulation,[status(thm)],[f9,f36]) ).
fof(f74,plain,
! [X0,X1,X2] : meet(meet(join(X0,X1),join(X2,X0)),X0) = meet(meet(X0,X0),meet(meet(join(X0,X1),join(X2,X0)),X0)),
inference(paramodulation,[status(thm)],[f10,f52]) ).
fof(f86,plain,
! [X0,X1,X2] : X0 = meet(meet(X0,X0),meet(meet(join(X0,X1),join(X2,X0)),X0)),
inference(forward_demodulation,[status(thm)],[f10,f74]) ).
fof(f87,plain,
! [X0] : X0 = meet(meet(X0,X0),X0),
inference(forward_demodulation,[status(thm)],[f10,f86]) ).
fof(f105,plain,
! [X0] : X0 = join(X0,meet(X0,join(meet(X0,X0),X0))),
inference(paramodulation,[status(thm)],[f87,f9]) ).
fof(f151,plain,
! [X0,X1] : meet(X0,X0) = join(meet(meet(X0,X0),meet(X1,join(X0,X0))),X0),
inference(forward_demodulation,[status(thm)],[f87,f16]) ).
fof(f164,plain,
! [X0,X1] : X0 = meet(meet(X0,join(X1,X0)),X0),
inference(paramodulation,[status(thm)],[f105,f10]) ).
fof(f222,plain,
! [X0,X1] : meet(X0,join(X1,X0)) = join(meet(meet(X1,X0),meet(X0,join(X1,X0))),X0),
inference(forward_demodulation,[status(thm)],[f164,f19]) ).
fof(f223,plain,
! [X0] : meet(X0,join(X0,X0)) = meet(X0,X0),
inference(paramodulation,[status(thm)],[f151,f222]) ).
fof(f526,plain,
! [X0] : X0 = join(meet(X0,X0),meet(X0,X0)),
inference(paramodulation,[status(thm)],[f223,f9]) ).
fof(f565,plain,
! [X0] : X0 = join(X0,X0),
inference(paramodulation,[status(thm)],[f526,f11]) ).
fof(f583,plain,
$false,
inference(resolution,[status(thm)],[f565,f12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : LAT090-1 : TPTP v8.1.2. Released v2.6.0.
% 0.05/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31 % Computer : n015.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 20:23:17 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.10/0.32 % Drodi V3.6.0
% 0.10/0.35 % Refutation found
% 0.10/0.35 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.35 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.10/0.36 % Elapsed time: 0.040657 seconds
% 0.10/0.36 % CPU time: 0.207173 seconds
% 0.10/0.36 % Total memory used: 17.292 MB
% 0.10/0.36 % Net memory used: 17.153 MB
%------------------------------------------------------------------------------