TSTP Solution File: LAT013-1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : LAT013-1 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n019.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 12:16:44 EDT 2023
% Result : Unsatisfiable 34.91s 4.81s
% Output : CNFRefutation 34.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 41
% Number of leaves : 5
% Syntax : Number of formulae : 92 ( 92 unt; 0 def)
% Number of atoms : 92 ( 91 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 4 avg)
% Maximal term depth : 6 ( 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 : 245 (; 245 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y,Z] : join(X,meet(Y,meet(X,Z))) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X,Y,Z] : meet(X,join(Y,join(X,Z))) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X,Y,Z] : join(join(meet(X,Y),meet(Y,Z)),Y) = Y,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X,Y,Z] : meet(meet(join(X,Y),join(Y,Z)),Y) = Y,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
meet(meet(a,b),c) != meet(a,meet(b,c)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,plain,
! [X0,X1,X2] : join(X0,meet(X1,meet(X0,X2))) = X0,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f7,plain,
! [X0,X1,X2] : meet(X0,join(X1,join(X0,X2))) = X0,
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f8,plain,
! [X0,X1,X2] : join(join(meet(X0,X1),meet(X1,X2)),X1) = X1,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f9,plain,
! [X0,X1,X2] : meet(meet(join(X0,X1),join(X1,X2)),X1) = X1,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f10,plain,
meet(meet(a,b),c) != meet(a,meet(b,c)),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f11,plain,
! [X0,X1] : meet(meet(X0,join(X0,X1)),X0) = X0,
inference(paramodulation,[status(thm)],[f8,f9]) ).
fof(f12,plain,
! [X0,X1,X2,X3] : meet(meet(join(X0,join(meet(X1,X2),meet(X2,X3))),X2),join(meet(X1,X2),meet(X2,X3))) = join(meet(X1,X2),meet(X2,X3)),
inference(paramodulation,[status(thm)],[f8,f9]) ).
fof(f13,plain,
! [X0,X1,X2,X3] : join(join(meet(X0,meet(join(X1,X2),join(X2,X3))),X2),meet(join(X1,X2),join(X2,X3))) = meet(join(X1,X2),join(X2,X3)),
inference(paramodulation,[status(thm)],[f9,f8]) ).
fof(f23,plain,
! [X0,X1] : join(X0,meet(X0,X1)) = X0,
inference(paramodulation,[status(thm)],[f9,f6]) ).
fof(f27,plain,
! [X0,X1] : join(meet(X0,X1),X1) = X1,
inference(paramodulation,[status(thm)],[f6,f8]) ).
fof(f29,plain,
! [X0] : meet(meet(X0,X0),X0) = X0,
inference(paramodulation,[status(thm)],[f6,f11]) ).
fof(f49,plain,
! [X0,X1,X2] : meet(meet(join(X0,meet(X1,X2)),X2),meet(X1,X2)) = meet(X1,X2),
inference(paramodulation,[status(thm)],[f27,f9]) ).
fof(f54,plain,
! [X0] : join(meet(X0,X0),X0) = meet(X0,X0),
inference(paramodulation,[status(thm)],[f29,f23]) ).
fof(f55,plain,
! [X0] : X0 = meet(X0,X0),
inference(forward_demodulation,[status(thm)],[f27,f54]) ).
fof(f65,plain,
! [X0,X1] : join(X0,meet(X1,X0)) = X0,
inference(paramodulation,[status(thm)],[f55,f6]) ).
fof(f78,plain,
! [X0,X1] : meet(X0,join(X0,X1)) = X0,
inference(paramodulation,[status(thm)],[f27,f7]) ).
fof(f83,plain,
! [X0,X1] : meet(X0,join(X1,X0)) = X0,
inference(paramodulation,[status(thm)],[f6,f7]) ).
fof(f87,plain,
! [X0,X1] : meet(join(X0,X1),X1) = X1,
inference(paramodulation,[status(thm)],[f7,f9]) ).
fof(f220,plain,
! [X0,X1,X2,X3] : join(meet(join(X0,join(meet(X1,X2),meet(X2,X3))),X2),join(meet(X1,X2),meet(X2,X3))) = meet(join(X0,join(meet(X1,X2),meet(X2,X3))),X2),
inference(paramodulation,[status(thm)],[f12,f23]) ).
fof(f230,plain,
! [X0,X1] : meet(meet(X0,X1),X0) = meet(X0,X1),
inference(paramodulation,[status(thm)],[f23,f83]) ).
fof(f254,plain,
! [X0,X1] : join(X0,join(X1,X0)) = join(X1,X0),
inference(paramodulation,[status(thm)],[f83,f27]) ).
fof(f261,plain,
! [X0,X1,X2] : meet(X0,meet(X1,meet(X0,X2))) = meet(X1,meet(X0,X2)),
inference(paramodulation,[status(thm)],[f6,f87]) ).
fof(f262,plain,
! [X0,X1] : meet(X0,meet(X1,X0)) = meet(X1,X0),
inference(paramodulation,[status(thm)],[f65,f87]) ).
fof(f845,plain,
! [X0,X1] : join(meet(X0,X1),X0) = join(X0,meet(X0,X1)),
inference(paramodulation,[status(thm)],[f23,f254]) ).
fof(f846,plain,
! [X0,X1] : join(meet(X0,X1),X0) = X0,
inference(forward_demodulation,[status(thm)],[f23,f845]) ).
fof(f1347,plain,
! [X0,X1,X2] : meet(X0,meet(join(X1,X0),join(X0,X2))) = meet(meet(join(X1,X0),join(X0,X2)),X0),
inference(paramodulation,[status(thm)],[f9,f230]) ).
fof(f1348,plain,
! [X0,X1,X2] : meet(X0,meet(join(X1,X0),join(X0,X2))) = X0,
inference(forward_demodulation,[status(thm)],[f9,f1347]) ).
fof(f1370,plain,
! [X0,X1,X2] : join(X0,meet(meet(X0,X1),X2)) = X0,
inference(paramodulation,[status(thm)],[f230,f6]) ).
fof(f1430,plain,
! [X0,X1,X2] : join(X0,meet(meet(X1,X0),X2)) = X0,
inference(paramodulation,[status(thm)],[f262,f1370]) ).
fof(f1475,plain,
! [X0,X1,X2] : meet(meet(meet(X0,X1),X2),X0) = meet(meet(X0,X1),X2),
inference(paramodulation,[status(thm)],[f1370,f83]) ).
fof(f1548,plain,
! [X0,X1,X2] : join(X0,join(meet(X1,X0),meet(X0,X2))) = X0,
inference(paramodulation,[status(thm)],[f12,f1430]) ).
fof(f1613,plain,
! [X0,X1,X2] : meet(meet(meet(X0,X1),X2),X1) = meet(meet(X0,X1),X2),
inference(paramodulation,[status(thm)],[f1430,f83]) ).
fof(f1905,plain,
! [X0,X1,X2] : join(X0,join(meet(X0,X1),meet(X0,X2))) = X0,
inference(paramodulation,[status(thm)],[f230,f1548]) ).
fof(f2127,plain,
! [X0,X1,X2] : join(X0,join(meet(X0,X1),meet(X2,X0))) = X0,
inference(paramodulation,[status(thm)],[f262,f1905]) ).
fof(f2450,plain,
! [X0,X1] : meet(meet(X0,X1),join(meet(X0,X1),meet(X1,X0))) = join(meet(X0,X1),meet(X1,X0)),
inference(paramodulation,[status(thm)],[f2127,f12]) ).
fof(f2451,plain,
! [X0,X1] : meet(X0,X1) = join(meet(X0,X1),meet(X1,X0)),
inference(forward_demodulation,[status(thm)],[f78,f2450]) ).
fof(f3081,plain,
! [X0,X1] : join(meet(X0,X1),meet(X1,X0)) = join(meet(X1,X0),meet(X0,X1)),
inference(paramodulation,[status(thm)],[f2451,f254]) ).
fof(f3082,plain,
! [X0,X1] : meet(X0,X1) = join(meet(X1,X0),meet(X0,X1)),
inference(forward_demodulation,[status(thm)],[f2451,f3081]) ).
fof(f3083,plain,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
inference(forward_demodulation,[status(thm)],[f2451,f3082]) ).
fof(f3140,plain,
! [X0,X1,X2] : meet(X0,meet(join(X0,X1),join(X2,X0))) = X0,
inference(paramodulation,[status(thm)],[f3083,f1348]) ).
fof(f3403,plain,
! [X0,X1] : join(join(X0,X1),meet(join(X0,X1),join(X1,X0))) = meet(join(X0,X1),join(X1,X0)),
inference(paramodulation,[status(thm)],[f3140,f13]) ).
fof(f3404,plain,
! [X0,X1] : join(X0,X1) = meet(join(X0,X1),join(X1,X0)),
inference(forward_demodulation,[status(thm)],[f23,f3403]) ).
fof(f3689,plain,
! [X0,X1] : join(X0,X1) = meet(join(X1,X0),join(X0,X1)),
inference(paramodulation,[status(thm)],[f3083,f3404]) ).
fof(f3690,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(forward_demodulation,[status(thm)],[f3404,f3689]) ).
fof(f4097,plain,
! [X0,X1,X2] : meet(meet(X0,X1),meet(join(X2,meet(X0,X1)),X1)) = meet(X0,X1),
inference(forward_demodulation,[status(thm)],[f3083,f49]) ).
fof(f4098,plain,
! [X0,X1,X2] : meet(meet(X0,X1),meet(X1,join(X2,meet(X0,X1)))) = meet(X0,X1),
inference(forward_demodulation,[status(thm)],[f3083,f4097]) ).
fof(f4196,plain,
! [X0,X1,X2] : meet(meet(meet(X0,X1),X2),meet(X2,X1)) = meet(meet(X0,X1),X2),
inference(paramodulation,[status(thm)],[f1430,f4098]) ).
fof(f4197,plain,
! [X0,X1,X2] : meet(meet(X0,X1),meet(meet(X2,X1),X0)) = meet(meet(X2,X1),X0),
inference(forward_demodulation,[status(thm)],[f3083,f4196]) ).
fof(f4881,plain,
! [X0,X1,X2] : meet(X0,meet(meet(X0,X1),X2)) = meet(meet(X0,X1),X2),
inference(forward_demodulation,[status(thm)],[f3083,f1475]) ).
fof(f5006,plain,
! [X0,X1,X2,X3] : join(X0,join(meet(meet(X0,X1),X2),meet(X3,X0))) = X0,
inference(paramodulation,[status(thm)],[f4881,f2127]) ).
fof(f5093,plain,
! [X0,X1,X2] : meet(X0,meet(meet(X1,X0),X2)) = meet(meet(X1,X0),X2),
inference(forward_demodulation,[status(thm)],[f3083,f1613]) ).
fof(f5182,plain,
! [X0,X1,X2] : meet(X0,meet(meet(X0,X1),X2)) = meet(meet(X1,X0),X2),
inference(paramodulation,[status(thm)],[f3083,f5093]) ).
fof(f5183,plain,
! [X0,X1,X2] : meet(meet(X0,X1),X2) = meet(meet(X1,X0),X2),
inference(forward_demodulation,[status(thm)],[f4881,f5182]) ).
fof(f5227,plain,
! [X0,X1,X2,X3] : join(X0,join(meet(meet(X1,X0),X2),meet(X3,X0))) = X0,
inference(paramodulation,[status(thm)],[f5093,f2127]) ).
fof(f5336,plain,
! [X0,X1,X2] : meet(X0,meet(X1,X2)) = meet(meet(X2,X1),X0),
inference(paramodulation,[status(thm)],[f3083,f5183]) ).
fof(f20417,plain,
! [X0,X1,X2,X3] : join(join(meet(X0,X1),meet(X1,X2)),meet(join(X3,join(meet(X0,X1),meet(X1,X2))),X1)) = meet(join(X3,join(meet(X0,X1),meet(X1,X2))),X1),
inference(forward_demodulation,[status(thm)],[f3690,f220]) ).
fof(f20418,plain,
! [X0,X1,X2,X3] : join(join(meet(X0,X1),meet(X1,X2)),meet(X1,join(X3,join(meet(X0,X1),meet(X1,X2))))) = meet(join(X3,join(meet(X0,X1),meet(X1,X2))),X1),
inference(forward_demodulation,[status(thm)],[f3083,f20417]) ).
fof(f20419,plain,
! [X0,X1,X2,X3] : join(join(meet(X0,X1),meet(X1,X2)),meet(X1,join(X3,join(meet(X0,X1),meet(X1,X2))))) = meet(X1,join(X3,join(meet(X0,X1),meet(X1,X2)))),
inference(forward_demodulation,[status(thm)],[f3083,f20418]) ).
fof(f20756,plain,
! [X0,X1,X2] : join(join(meet(meet(X0,X1),X2),meet(X2,X1)),meet(X2,X1)) = meet(X2,join(X1,join(meet(meet(X0,X1),X2),meet(X2,X1)))),
inference(paramodulation,[status(thm)],[f5227,f20419]) ).
fof(f20757,plain,
! [X0,X1,X2] : join(meet(X0,X1),join(meet(meet(X2,X1),X0),meet(X0,X1))) = meet(X0,join(X1,join(meet(meet(X2,X1),X0),meet(X0,X1)))),
inference(forward_demodulation,[status(thm)],[f3690,f20756]) ).
fof(f20758,plain,
! [X0,X1,X2] : join(meet(meet(X0,X1),X2),meet(X2,X1)) = meet(X2,join(X1,join(meet(meet(X0,X1),X2),meet(X2,X1)))),
inference(forward_demodulation,[status(thm)],[f254,f20757]) ).
fof(f20759,plain,
! [X0,X1,X2] : join(meet(X0,X1),meet(meet(X2,X1),X0)) = meet(X0,join(X1,join(meet(meet(X2,X1),X0),meet(X0,X1)))),
inference(forward_demodulation,[status(thm)],[f3690,f20758]) ).
fof(f20760,plain,
! [X0,X1,X2] : join(meet(X0,X1),meet(meet(X2,X1),X0)) = meet(X0,X1),
inference(forward_demodulation,[status(thm)],[f5227,f20759]) ).
fof(f20765,plain,
! [X0,X1,X2] : join(join(meet(meet(X0,X1),X2),meet(X2,X0)),meet(X2,X0)) = meet(X2,join(X0,join(meet(meet(X0,X1),X2),meet(X2,X0)))),
inference(paramodulation,[status(thm)],[f5006,f20419]) ).
fof(f20766,plain,
! [X0,X1,X2] : join(meet(X0,X1),join(meet(meet(X1,X2),X0),meet(X0,X1))) = meet(X0,join(X1,join(meet(meet(X1,X2),X0),meet(X0,X1)))),
inference(forward_demodulation,[status(thm)],[f3690,f20765]) ).
fof(f20767,plain,
! [X0,X1,X2] : join(meet(meet(X0,X1),X2),meet(X2,X0)) = meet(X2,join(X0,join(meet(meet(X0,X1),X2),meet(X2,X0)))),
inference(forward_demodulation,[status(thm)],[f254,f20766]) ).
fof(f20768,plain,
! [X0,X1,X2] : join(meet(X0,X1),meet(meet(X1,X2),X0)) = meet(X0,join(X1,join(meet(meet(X1,X2),X0),meet(X0,X1)))),
inference(forward_demodulation,[status(thm)],[f3690,f20767]) ).
fof(f20769,plain,
! [X0,X1,X2] : join(meet(X0,X1),meet(meet(X1,X2),X0)) = meet(X0,X1),
inference(forward_demodulation,[status(thm)],[f5006,f20768]) ).
fof(f32573,plain,
! [X0,X1,X2] : meet(meet(X0,join(X1,X2)),meet(X1,X0)) = meet(meet(X1,join(X1,X2)),X0),
inference(paramodulation,[status(thm)],[f78,f4197]) ).
fof(f32574,plain,
! [X0,X1,X2] : meet(meet(X0,X1),meet(join(X0,X2),X1)) = meet(meet(X0,join(X0,X2)),X1),
inference(forward_demodulation,[status(thm)],[f5336,f32573]) ).
fof(f32575,plain,
! [X0,X1,X2] : meet(meet(X0,X1),meet(join(X0,X2),X1)) = meet(X0,X1),
inference(forward_demodulation,[status(thm)],[f78,f32574]) ).
fof(f33302,plain,
! [X0,X1,X2] : join(meet(meet(join(X0,X1),X2),X0),meet(X0,X2)) = meet(meet(join(X0,X1),X2),X0),
inference(paramodulation,[status(thm)],[f32575,f20769]) ).
fof(f33303,plain,
! [X0,X1,X2] : join(meet(X0,X1),meet(meet(join(X0,X2),X1),X0)) = meet(meet(join(X0,X2),X1),X0),
inference(forward_demodulation,[status(thm)],[f3690,f33302]) ).
fof(f33304,plain,
! [X0,X1,X2] : meet(X0,X1) = meet(meet(join(X0,X2),X1),X0),
inference(forward_demodulation,[status(thm)],[f20760,f33303]) ).
fof(f33305,plain,
! [X0,X1,X2] : meet(X0,X1) = meet(X0,meet(X1,join(X0,X2))),
inference(forward_demodulation,[status(thm)],[f5336,f33304]) ).
fof(f33803,plain,
! [X0,X1,X2] : meet(X0,X1) = meet(X0,meet(join(X0,X2),X1)),
inference(paramodulation,[status(thm)],[f3083,f33305]) ).
fof(f33823,plain,
! [X0,X1,X2] : meet(meet(X0,X1),X2) = meet(meet(X0,X1),meet(X2,X0)),
inference(paramodulation,[status(thm)],[f846,f33305]) ).
fof(f33824,plain,
! [X0,X1,X2] : meet(meet(X0,X1),X2) = meet(meet(X0,X1),meet(X2,X1)),
inference(paramodulation,[status(thm)],[f27,f33305]) ).
fof(f34384,plain,
! [X0,X1,X2] : meet(meet(X0,X1),X2) = meet(meet(X0,X1),meet(X1,X2)),
inference(paramodulation,[status(thm)],[f27,f33803]) ).
fof(f42316,plain,
! [X0,X1,X2] : meet(meet(X0,X1),X2) = meet(meet(X1,X2),meet(X0,X1)),
inference(paramodulation,[status(thm)],[f5336,f33824]) ).
fof(f42317,plain,
! [X0,X1,X2] : meet(meet(X0,X1),X2) = meet(meet(X1,X2),X0),
inference(forward_demodulation,[status(thm)],[f33823,f42316]) ).
fof(f50644,plain,
! [X0,X1,X2] : meet(X0,meet(X1,X2)) = meet(meet(X1,X0),X2),
inference(paramodulation,[status(thm)],[f5336,f42317]) ).
fof(f51918,plain,
meet(b,meet(a,c)) != meet(a,meet(b,c)),
inference(backward_demodulation,[status(thm)],[f50644,f10]) ).
fof(f60209,plain,
! [X0,X1,X2] : meet(X0,meet(X1,X2)) = meet(meet(X1,X0),meet(X0,X2)),
inference(forward_demodulation,[status(thm)],[f50644,f34384]) ).
fof(f60210,plain,
! [X0,X1,X2] : meet(X0,meet(X1,X2)) = meet(X0,meet(X1,meet(X0,X2))),
inference(forward_demodulation,[status(thm)],[f50644,f60209]) ).
fof(f60211,plain,
! [X0,X1,X2] : meet(X0,meet(X1,X2)) = meet(X1,meet(X0,X2)),
inference(forward_demodulation,[status(thm)],[f261,f60210]) ).
fof(f60212,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f51918,f60211]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : LAT013-1 : TPTP v8.1.2. Released v2.2.0.
% 0.02/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.30 % Computer : n019.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Tue May 30 09:25:55 EDT 2023
% 0.09/0.30 % CPUTime :
% 0.09/0.31 % Drodi V3.5.1
% 34.91/4.81 % Refutation found
% 34.91/4.81 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 34.91/4.81 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 35.94/4.93 % Elapsed time: 4.614393 seconds
% 35.94/4.93 % CPU time: 35.793547 seconds
% 35.94/4.93 % Memory used: 320.103 MB
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