TSTP Solution File: LAT042-1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : LAT042-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n031.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 12:16:48 EDT 2023
% Result : Unsatisfiable 0.21s 0.60s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% 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 : 7 ( 7 ~; 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 : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 43 (; 43 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X,Y] : meet(X,join(X,Y)) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X,Y] : join(X,meet(X,Y)) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [X,Y] : meet(X,Y) = meet(Y,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [X,Y] : join(X,Y) = join(Y,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [X,Y,Z] : meet(X,join(Y,Z)) = join(meet(X,Y),meet(X,Z)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,negated_conjecture,
join(a,meet(b,join(a,c))) != meet(join(a,b),join(a,c)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,plain,
! [X0,X1] : meet(X0,join(X0,X1)) = X0,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f17,plain,
! [X0,X1] : join(X0,meet(X0,X1)) = X0,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f18,plain,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f19,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f22,plain,
! [X0,X1,X2] : meet(X0,join(X1,X2)) = join(meet(X0,X1),meet(X0,X2)),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f26,plain,
join(a,meet(b,join(a,c))) != meet(join(a,b),join(a,c)),
inference(cnf_transformation,[status(esa)],[f13]) ).
fof(f27,plain,
join(meet(b,join(a,c)),a) != meet(join(a,b),join(a,c)),
inference(forward_demodulation,[status(thm)],[f19,f26]) ).
fof(f28,plain,
join(meet(join(a,c),b),a) != meet(join(a,b),join(a,c)),
inference(forward_demodulation,[status(thm)],[f18,f27]) ).
fof(f35,plain,
! [X0,X1] : join(X0,meet(X1,X0)) = X0,
inference(paramodulation,[status(thm)],[f18,f17]) ).
fof(f46,plain,
! [X0,X1] : meet(X0,join(X1,X0)) = X0,
inference(paramodulation,[status(thm)],[f19,f16]) ).
fof(f50,plain,
! [X0,X1] : meet(meet(X0,X1),X1) = meet(X0,X1),
inference(paramodulation,[status(thm)],[f35,f46]) ).
fof(f57,plain,
! [X0,X1] : meet(X0,meet(X1,X0)) = meet(X1,X0),
inference(paramodulation,[status(thm)],[f18,f50]) ).
fof(f89,plain,
! [X0,X1] : meet(join(X0,X1),X0) = meet(X0,join(X0,X1)),
inference(paramodulation,[status(thm)],[f16,f57]) ).
fof(f90,plain,
! [X0,X1] : meet(join(X0,X1),X0) = X0,
inference(forward_demodulation,[status(thm)],[f16,f89]) ).
fof(f529,plain,
! [X0,X1,X2] : meet(X0,join(X1,X2)) = join(meet(X0,X2),meet(X0,X1)),
inference(paramodulation,[status(thm)],[f19,f22]) ).
fof(f530,plain,
! [X0,X1,X2] : meet(X0,join(X1,X2)) = meet(X0,join(X2,X1)),
inference(forward_demodulation,[status(thm)],[f22,f529]) ).
fof(f577,plain,
! [X0,X1,X2] : meet(join(X0,X1),join(X2,X0)) = join(meet(join(X0,X1),X2),X0),
inference(paramodulation,[status(thm)],[f90,f22]) ).
fof(f634,plain,
meet(join(a,c),join(b,a)) != meet(join(a,b),join(a,c)),
inference(backward_demodulation,[status(thm)],[f577,f28]) ).
fof(f635,plain,
meet(join(a,c),join(a,b)) != meet(join(a,b),join(a,c)),
inference(forward_demodulation,[status(thm)],[f530,f634]) ).
fof(f636,plain,
meet(join(a,b),join(a,c)) != meet(join(a,b),join(a,c)),
inference(forward_demodulation,[status(thm)],[f18,f635]) ).
fof(f637,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f636]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LAT042-1 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34 % Computer : n031.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue May 30 09:45:07 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.12/0.35 % Drodi V3.5.1
% 0.21/0.60 % Refutation found
% 0.21/0.60 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.21/0.60 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.21/0.61 % Elapsed time: 0.256143 seconds
% 0.21/0.61 % CPU time: 0.867551 seconds
% 0.21/0.61 % Memory used: 11.456 MB
%------------------------------------------------------------------------------