TSTP Solution File: LAT006-1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% 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 : n018.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 20:25:10 EDT 2024
% Result : Unsatisfiable 1.97s 0.61s
% Output : CNFRefutation 1.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 38
% Number of leaves : 3
% Syntax : Number of formulae : 61 ( 61 unt; 0 def)
% Number of atoms : 61 ( 60 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 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 : 148 ( 148 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y] : meet(X,join(X,Y)) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X,Y,Z] : meet(X,join(Y,Z)) = join(meet(Z,X),meet(Y,X)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
meet(meet(a,b),c) != meet(a,meet(b,c)),
file('/export/starexec/sandbox/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(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(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(f17,plain,
! [X0,X1,X2,X3] : meet(meet(X0,join(X1,X2)),join(meet(X2,X0),X3)) = join(meet(X3,meet(X0,join(X1,X2))),meet(X2,X0)),
inference(paramodulation,[status(thm)],[f9,f5]) ).
fof(f49,plain,
! [X0,X1,X2] : meet(meet(X0,X1),meet(X1,meet(X1,join(X0,X2)))) = meet(meet(X0,X1),X1),
inference(paramodulation,[status(thm)],[f15,f16]) ).
fof(f50,plain,
! [X0,X1,X2] : meet(meet(X0,X1),meet(X1,meet(X1,join(X0,X2)))) = meet(X0,X1),
inference(forward_demodulation,[status(thm)],[f15,f49]) ).
fof(f101,plain,
! [X0] : meet(meet(X0,X0),meet(X0,X0)) = meet(X0,X0),
inference(paramodulation,[status(thm)],[f4,f50]) ).
fof(f140,plain,
! [X0,X1] : meet(meet(X0,X0),join(meet(X0,X0),X1)) = join(meet(X1,meet(X0,X0)),meet(X0,X0)),
inference(paramodulation,[status(thm)],[f101,f5]) ).
fof(f141,plain,
! [X0,X1] : meet(X0,X0) = join(meet(X1,meet(X0,X0)),meet(X0,X0)),
inference(forward_demodulation,[status(thm)],[f4,f140]) ).
fof(f142,plain,
! [X0,X1] : meet(meet(X0,X0),join(X1,meet(X0,X0))) = join(meet(X0,X0),meet(X1,meet(X0,X0))),
inference(paramodulation,[status(thm)],[f101,f5]) ).
fof(f151,plain,
! [X0] : meet(X0,X0) = join(meet(X0,X0),meet(X0,X0)),
inference(paramodulation,[status(thm)],[f101,f141]) ).
fof(f152,plain,
! [X0] : meet(X0,X0) = meet(X0,join(X0,X0)),
inference(forward_demodulation,[status(thm)],[f5,f151]) ).
fof(f153,plain,
! [X0] : meet(X0,X0) = X0,
inference(forward_demodulation,[status(thm)],[f4,f152]) ).
fof(f202,plain,
! [X0,X1] : meet(X0,X0) = join(meet(X1,meet(X0,X0)),X0),
inference(backward_demodulation,[status(thm)],[f153,f141]) ).
fof(f203,plain,
! [X0,X1] : X0 = join(meet(X1,meet(X0,X0)),X0),
inference(forward_demodulation,[status(thm)],[f153,f202]) ).
fof(f204,plain,
! [X0,X1] : X0 = join(meet(X1,X0),X0),
inference(forward_demodulation,[status(thm)],[f153,f203]) ).
fof(f205,plain,
! [X0,X1] : meet(meet(X0,X0),join(X1,meet(X0,X0))) = join(meet(X0,X0),meet(X1,X0)),
inference(backward_demodulation,[status(thm)],[f153,f142]) ).
fof(f206,plain,
! [X0,X1] : join(meet(X0,X0),meet(X1,meet(X0,X0))) = join(meet(X0,X0),meet(X1,X0)),
inference(forward_demodulation,[status(thm)],[f142,f205]) ).
fof(f207,plain,
! [X0,X1] : join(X0,meet(X1,meet(X0,X0))) = join(meet(X0,X0),meet(X1,X0)),
inference(forward_demodulation,[status(thm)],[f153,f206]) ).
fof(f208,plain,
! [X0,X1] : join(X0,meet(X1,X0)) = join(meet(X0,X0),meet(X1,X0)),
inference(forward_demodulation,[status(thm)],[f153,f207]) ).
fof(f209,plain,
! [X0,X1] : join(X0,meet(X1,X0)) = meet(X0,join(X1,X0)),
inference(forward_demodulation,[status(thm)],[f5,f208]) ).
fof(f244,plain,
! [X0] : X0 = join(X0,X0),
inference(paramodulation,[status(thm)],[f153,f204]) ).
fof(f253,plain,
! [X0,X1] : meet(X0,X1) = meet(X1,join(X0,X0)),
inference(paramodulation,[status(thm)],[f5,f244]) ).
fof(f254,plain,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
inference(forward_demodulation,[status(thm)],[f244,f253]) ).
fof(f280,plain,
! [X0,X1] : X0 = join(meet(X0,X1),X0),
inference(paramodulation,[status(thm)],[f254,f204]) ).
fof(f283,plain,
! [X0,X1] : meet(meet(X0,X1),X0) = meet(X1,X0),
inference(paramodulation,[status(thm)],[f254,f15]) ).
fof(f343,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,f280]) ).
fof(f344,plain,
! [X0,X1,X2] : meet(meet(X0,X1),X2) = meet(X2,join(meet(X0,X1),meet(X0,X1))),
inference(forward_demodulation,[status(thm)],[f5,f343]) ).
fof(f345,plain,
! [X0,X1,X2] : meet(meet(X0,X1),X2) = meet(X2,meet(X1,join(X0,X0))),
inference(forward_demodulation,[status(thm)],[f5,f344]) ).
fof(f346,plain,
! [X0,X1,X2] : meet(meet(X0,X1),X2) = meet(X2,meet(X1,X0)),
inference(forward_demodulation,[status(thm)],[f244,f345]) ).
fof(f503,plain,
! [X0,X1,X2] : meet(meet(X0,join(X1,X2)),X2) = join(meet(X2,meet(X0,join(X1,X2))),meet(X2,X0)),
inference(paramodulation,[status(thm)],[f280,f17]) ).
fof(f600,plain,
! [X0,X1] : join(X0,meet(meet(X0,X1),X0)) = meet(X0,X0),
inference(paramodulation,[status(thm)],[f280,f209]) ).
fof(f601,plain,
! [X0,X1] : join(X0,meet(X1,X0)) = meet(X0,X0),
inference(forward_demodulation,[status(thm)],[f283,f600]) ).
fof(f602,plain,
! [X0,X1] : join(X0,meet(X1,X0)) = X0,
inference(forward_demodulation,[status(thm)],[f153,f601]) ).
fof(f686,plain,
! [X0,X1] : join(X0,meet(X0,X1)) = X0,
inference(paramodulation,[status(thm)],[f254,f602]) ).
fof(f704,plain,
! [X0,X1,X2] : meet(X0,join(X1,X0)) = join(X0,meet(X1,join(X0,meet(X2,X0)))),
inference(paramodulation,[status(thm)],[f602,f7]) ).
fof(f705,plain,
! [X0,X1] : meet(X0,join(X1,X0)) = join(X0,meet(X1,X0)),
inference(forward_demodulation,[status(thm)],[f602,f704]) ).
fof(f706,plain,
! [X0,X1] : meet(X0,join(X1,X0)) = X0,
inference(forward_demodulation,[status(thm)],[f602,f705]) ).
fof(f828,plain,
! [X0,X1,X2] : meet(X0,X1) = meet(X1,meet(join(X2,X0),X0)),
inference(paramodulation,[status(thm)],[f706,f346]) ).
fof(f1146,plain,
! [X0,X1,X2,X3] : meet(meet(join(X0,X1),X1),join(X2,X3)) = join(meet(X3,meet(join(X0,X1),X1)),meet(X1,X2)),
inference(paramodulation,[status(thm)],[f828,f5]) ).
fof(f1147,plain,
! [X0,X1,X2,X3] : meet(join(X0,X1),meet(X2,join(X3,X2))) = join(meet(X1,meet(join(X3,X2),X2)),meet(X2,X0)),
inference(forward_demodulation,[status(thm)],[f346,f1146]) ).
fof(f1148,plain,
! [X0,X1,X2,X3] : meet(join(X0,X1),X2) = join(meet(X1,meet(join(X3,X2),X2)),meet(X2,X0)),
inference(forward_demodulation,[status(thm)],[f706,f1147]) ).
fof(f1149,plain,
! [X0,X1,X2] : meet(join(X0,X1),X2) = join(meet(X2,X1),meet(X2,X0)),
inference(forward_demodulation,[status(thm)],[f828,f1148]) ).
fof(f1164,plain,
! [X0,X1,X2] : meet(meet(X0,join(X1,X2)),X2) = meet(join(X0,meet(X0,join(X1,X2))),X2),
inference(backward_demodulation,[status(thm)],[f1149,f503]) ).
fof(f1165,plain,
! [X0,X1,X2] : meet(meet(X0,join(X1,X2)),X2) = meet(X0,X2),
inference(forward_demodulation,[status(thm)],[f686,f1164]) ).
fof(f1243,plain,
! [X0,X1,X2] : meet(X0,meet(join(X1,X0),X2)) = meet(X2,X0),
inference(paramodulation,[status(thm)],[f346,f1165]) ).
fof(f1268,plain,
! [X0,X1,X2] : meet(meet(X0,X1),meet(X1,X2)) = meet(X0,meet(X1,X2)),
inference(paramodulation,[status(thm)],[f686,f1165]) ).
fof(f1272,plain,
! [X0,X1,X2,X3] : meet(meet(X0,X1),meet(X1,meet(join(X2,X1),join(X0,X3)))) = meet(meet(X0,join(X2,X1)),X1),
inference(paramodulation,[status(thm)],[f1165,f16]) ).
fof(f1273,plain,
! [X0,X1,X2,X3] : meet(X0,meet(X1,meet(join(X2,X1),join(X0,X3)))) = meet(meet(X0,join(X2,X1)),X1),
inference(forward_demodulation,[status(thm)],[f1268,f1272]) ).
fof(f1274,plain,
! [X0,X1,X2,X3] : meet(X0,meet(join(X0,X1),X2)) = meet(meet(X0,join(X3,X2)),X2),
inference(forward_demodulation,[status(thm)],[f1243,f1273]) ).
fof(f1275,plain,
! [X0,X1,X2] : meet(X0,meet(join(X0,X1),X2)) = meet(X0,X2),
inference(forward_demodulation,[status(thm)],[f1165,f1274]) ).
fof(f1574,plain,
! [X0,X1,X2] : meet(meet(X0,X1),meet(X1,X2)) = meet(meet(X0,X1),X2),
inference(paramodulation,[status(thm)],[f204,f1275]) ).
fof(f1575,plain,
! [X0,X1,X2] : meet(X0,meet(X1,X2)) = meet(meet(X0,X1),X2),
inference(forward_demodulation,[status(thm)],[f1268,f1574]) ).
fof(f1576,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f6,f1575]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.12 % Problem : LAT006-1 : TPTP v8.1.2. Released v2.2.0.
% 0.02/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.33 % Computer : n018.cluster.edu
% 0.10/0.33 % Model : x86_64 x86_64
% 0.10/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.33 % Memory : 8042.1875MB
% 0.10/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.33 % CPULimit : 300
% 0.10/0.33 % WCLimit : 300
% 0.10/0.33 % DateTime : Mon Apr 29 20:15:12 EDT 2024
% 0.10/0.34 % CPUTime :
% 0.10/0.34 % Drodi V3.6.0
% 1.97/0.61 % Refutation found
% 1.97/0.61 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 1.97/0.61 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 1.97/0.62 % Elapsed time: 0.283960 seconds
% 1.97/0.62 % CPU time: 2.130639 seconds
% 1.97/0.62 % Total memory used: 43.775 MB
% 1.97/0.62 % Net memory used: 42.746 MB
%------------------------------------------------------------------------------