TSTP Solution File: LAT160-1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : LAT160-1 : TPTP v8.1.2. Released v3.1.0.
% 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 : Wed May 31 12:16:59 EDT 2023
% Result : Unsatisfiable 213.79s 27.38s
% Output : CNFRefutation 216.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 9
% Syntax : Number of formulae : 68 ( 68 unt; 0 def)
% Number of atoms : 68 ( 67 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 198 (; 198 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X] : join(X,X) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
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(f7,axiom,
! [X,Y,Z] : meet(meet(X,Y),Z) = meet(X,meet(Y,Z)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [X,Y,Z] : join(join(X,Y),Z) = join(X,join(Y,Z)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [X,Y,Z,U] : meet(X,join(Y,meet(Z,join(X,U)))) = meet(X,join(Y,join(meet(Z,U),meet(Z,join(X,Y))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,negated_conjecture,
meet(a,join(b,meet(c,join(a,d)))) != meet(a,join(b,join(meet(a,c),meet(c,d)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,plain,
! [X0] : join(X0,X0) = X0,
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f13,plain,
! [X0,X1] : meet(X0,join(X0,X1)) = X0,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f14,plain,
! [X0,X1] : join(X0,meet(X0,X1)) = X0,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f15,plain,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f16,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f17,plain,
! [X0,X1,X2] : meet(meet(X0,X1),X2) = meet(X0,meet(X1,X2)),
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f18,plain,
! [X0,X1,X2] : join(join(X0,X1),X2) = join(X0,join(X1,X2)),
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f19,plain,
! [X0,X1,X2,X3] : meet(X0,join(X1,meet(X2,join(X0,X3)))) = meet(X0,join(X1,join(meet(X2,X3),meet(X2,join(X0,X1))))),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f20,plain,
meet(a,join(b,meet(c,join(a,d)))) != meet(a,join(b,join(meet(a,c),meet(c,d)))),
inference(cnf_transformation,[status(esa)],[f10]) ).
fof(f25,plain,
! [X0,X1] : join(X0,meet(X1,X0)) = X0,
inference(paramodulation,[status(thm)],[f15,f14]) ).
fof(f27,plain,
! [X0,X1] : join(join(X0,X1),X0) = join(X0,X1),
inference(paramodulation,[status(thm)],[f13,f25]) ).
fof(f28,plain,
! [X0,X1] : join(X0,join(X1,X0)) = join(X0,X1),
inference(forward_demodulation,[status(thm)],[f18,f27]) ).
fof(f33,plain,
! [X0,X1] : meet(X0,join(X1,X0)) = X0,
inference(paramodulation,[status(thm)],[f16,f13]) ).
fof(f35,plain,
! [X0,X1] : meet(meet(X0,X1),X1) = meet(X0,X1),
inference(paramodulation,[status(thm)],[f25,f33]) ).
fof(f36,plain,
! [X0,X1] : meet(X0,meet(X1,X0)) = meet(X1,X0),
inference(forward_demodulation,[status(thm)],[f15,f35]) ).
fof(f50,plain,
! [X0,X1] : join(X0,join(X0,X1)) = join(X0,X1),
inference(paramodulation,[status(thm)],[f16,f28]) ).
fof(f52,plain,
! [X0,X1] : meet(join(X0,X1),join(X1,X0)) = join(X0,X1),
inference(paramodulation,[status(thm)],[f28,f33]) ).
fof(f153,plain,
! [X0,X1,X2] : meet(X0,meet(X1,X2)) = meet(X1,meet(X2,X0)),
inference(paramodulation,[status(thm)],[f15,f17]) ).
fof(f168,plain,
! [X0,X1,X2] : meet(X0,X1) = meet(X0,meet(join(X0,X2),X1)),
inference(paramodulation,[status(thm)],[f13,f17]) ).
fof(f169,plain,
! [X0,X1,X2] : meet(meet(X0,X1),X2) = meet(X1,meet(X0,X2)),
inference(paramodulation,[status(thm)],[f15,f17]) ).
fof(f170,plain,
! [X0,X1,X2] : meet(X0,meet(X1,X2)) = meet(X1,meet(X0,X2)),
inference(forward_demodulation,[status(thm)],[f17,f169]) ).
fof(f185,plain,
! [X0,X1,X2] : join(X0,meet(X1,meet(X2,X0))) = X0,
inference(paramodulation,[status(thm)],[f17,f25]) ).
fof(f188,plain,
! [X0,X1,X2] : join(meet(X0,X1),meet(X0,meet(X1,X2))) = meet(X0,X1),
inference(paramodulation,[status(thm)],[f17,f14]) ).
fof(f208,plain,
! [X0,X1,X2] : join(join(X0,X1),meet(X2,X0)) = join(X0,X1),
inference(paramodulation,[status(thm)],[f13,f185]) ).
fof(f209,plain,
! [X0,X1,X2] : join(X0,join(X1,meet(X2,X0))) = join(X0,X1),
inference(forward_demodulation,[status(thm)],[f18,f208]) ).
fof(f233,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(X1,join(X2,X0)),
inference(paramodulation,[status(thm)],[f16,f18]) ).
fof(f280,plain,
! [X0,X1,X2,X3,X4] : meet(X0,join(join(X1,X2),meet(X3,join(X0,X4)))) = meet(X0,join(X1,join(X2,join(meet(X3,X4),meet(X3,join(X0,join(X1,X2))))))),
inference(paramodulation,[status(thm)],[f18,f19]) ).
fof(f281,plain,
! [X0,X1,X2,X3,X4] : meet(X0,join(X1,join(X2,meet(X3,join(X0,X4))))) = meet(X0,join(X1,join(X2,join(meet(X3,X4),meet(X3,join(X0,join(X1,X2))))))),
inference(forward_demodulation,[status(thm)],[f18,f280]) ).
fof(f283,plain,
! [X0,X1,X2,X3] : meet(X0,join(X1,meet(X2,join(X0,X3)))) = meet(X0,join(X1,join(meet(X2,join(X0,X1)),meet(X2,X3)))),
inference(paramodulation,[status(thm)],[f16,f19]) ).
fof(f339,plain,
! [X0,X1,X2,X3] : meet(X0,join(X1,meet(X2,join(X0,X3)))) = meet(X0,join(X1,join(meet(X2,X3),meet(X2,join(X1,X0))))),
inference(paramodulation,[status(thm)],[f16,f19]) ).
fof(f605,plain,
! [X0,X1,X2] : meet(join(X0,X1),meet(X2,join(X1,X0))) = meet(X2,join(X1,X0)),
inference(paramodulation,[status(thm)],[f52,f153]) ).
fof(f728,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(X2,join(X1,X0)),
inference(paramodulation,[status(thm)],[f16,f233]) ).
fof(f865,plain,
! [X0,X1,X2] : meet(X0,join(X1,X2)) = meet(join(X1,X2),meet(X0,join(X2,X1))),
inference(paramodulation,[status(thm)],[f52,f170]) ).
fof(f866,plain,
! [X0,X1,X2] : meet(X0,join(X1,X2)) = meet(X0,join(X2,X1)),
inference(forward_demodulation,[status(thm)],[f605,f865]) ).
fof(f1046,plain,
! [X0,X1,X2,X3] : join(X0,join(X1,X2)) = join(X1,join(join(X2,meet(X3,X1)),X0)),
inference(paramodulation,[status(thm)],[f209,f233]) ).
fof(f1047,plain,
! [X0,X1,X2,X3] : join(X0,join(X1,X2)) = join(X1,join(X2,join(meet(X3,X1),X0))),
inference(forward_demodulation,[status(thm)],[f18,f1046]) ).
fof(f2250,plain,
! [X0,X1,X2,X3,X4] : meet(X0,join(X1,join(meet(X2,X3),meet(X2,join(join(X0,X4),X1))))) = meet(X0,meet(join(X0,X4),join(X1,meet(X2,join(join(X0,X4),X3))))),
inference(paramodulation,[status(thm)],[f19,f168]) ).
fof(f2251,plain,
! [X0,X1,X2,X3,X4] : meet(X0,join(X1,join(meet(X2,X3),meet(X2,join(X0,join(X4,X1)))))) = meet(X0,meet(join(X0,X4),join(X1,meet(X2,join(join(X0,X4),X3))))),
inference(forward_demodulation,[status(thm)],[f18,f2250]) ).
fof(f2252,plain,
! [X0,X1,X2,X3,X4] : meet(X0,join(X1,join(meet(X2,X3),meet(X2,join(X0,join(X4,X1)))))) = meet(X0,join(X1,meet(X2,join(join(X0,X4),X3)))),
inference(forward_demodulation,[status(thm)],[f168,f2251]) ).
fof(f2253,plain,
! [X0,X1,X2,X3,X4] : meet(X0,join(X1,join(meet(X2,X3),meet(X2,join(X0,join(X4,X1)))))) = meet(X0,join(X1,meet(X2,join(X0,join(X4,X3))))),
inference(forward_demodulation,[status(thm)],[f18,f2252]) ).
fof(f2442,plain,
! [X0,X1] : join(meet(X0,X1),meet(X1,X0)) = meet(X0,X1),
inference(paramodulation,[status(thm)],[f36,f188]) ).
fof(f3784,plain,
! [X0,X1,X2] : join(meet(X0,X1),join(meet(X1,X0),X2)) = join(X2,meet(X1,X0)),
inference(paramodulation,[status(thm)],[f2442,f728]) ).
fof(f3814,plain,
! [X0,X1,X2] : join(meet(X0,X1),X2) = join(meet(X0,X1),join(meet(X1,X0),X2)),
inference(paramodulation,[status(thm)],[f2442,f18]) ).
fof(f3815,plain,
! [X0,X1,X2] : join(meet(X0,X1),X2) = join(X2,meet(X1,X0)),
inference(forward_demodulation,[status(thm)],[f3784,f3814]) ).
fof(f12267,plain,
! [X0,X1,X2,X3] : meet(X0,join(X1,join(X1,meet(X2,join(X0,X3))))) = meet(X0,join(X1,join(meet(X2,X3),meet(X2,join(X0,join(X1,X1)))))),
inference(paramodulation,[status(thm)],[f50,f281]) ).
fof(f12268,plain,
! [X0,X1,X2,X3] : meet(X0,join(X1,meet(X2,join(X0,X3)))) = meet(X0,join(X1,join(meet(X2,X3),meet(X2,join(X0,join(X1,X1)))))),
inference(forward_demodulation,[status(thm)],[f50,f12267]) ).
fof(f12269,plain,
! [X0,X1,X2,X3] : meet(X0,join(X1,meet(X2,join(X0,X3)))) = meet(X0,join(X1,meet(X2,join(X0,join(X1,X3))))),
inference(forward_demodulation,[status(thm)],[f2253,f12268]) ).
fof(f41277,plain,
! [X0,X1,X2] : meet(X0,join(X1,meet(X2,join(X0,join(X0,X1))))) = meet(X0,join(X1,meet(X2,join(X0,join(X1,X0))))),
inference(paramodulation,[status(thm)],[f283,f339]) ).
fof(f41278,plain,
! [X0,X1,X2] : meet(X0,join(X1,meet(X2,join(X0,X1)))) = meet(X0,join(X1,meet(X2,join(X0,join(X1,X0))))),
inference(forward_demodulation,[status(thm)],[f50,f41277]) ).
fof(f41279,plain,
! [X0,X1,X2] : meet(X0,join(X1,meet(X2,join(X0,X1)))) = meet(X0,join(X1,meet(X2,join(X0,X0)))),
inference(forward_demodulation,[status(thm)],[f12269,f41278]) ).
fof(f41280,plain,
! [X0,X1,X2] : meet(X0,join(X1,meet(X2,join(X0,X1)))) = meet(X0,join(X1,meet(X2,X0))),
inference(forward_demodulation,[status(thm)],[f12,f41279]) ).
fof(f69927,plain,
! [X0,X1,X2,X3] : meet(X0,join(X1,join(X2,meet(X3,join(X0,X1))))) = meet(X0,join(meet(X3,join(X0,join(X1,X2))),join(X1,X2))),
inference(paramodulation,[status(thm)],[f1047,f281]) ).
fof(f69928,plain,
! [X0,X1,X2,X3] : meet(X0,join(X1,join(X2,meet(X3,join(X0,X1))))) = meet(X0,join(join(X1,X2),meet(X3,join(X0,join(X1,X2))))),
inference(forward_demodulation,[status(thm)],[f866,f69927]) ).
fof(f69929,plain,
! [X0,X1,X2,X3] : meet(X0,join(X1,join(X2,meet(X3,join(X0,X1))))) = meet(X0,join(join(X1,X2),meet(X3,X0))),
inference(forward_demodulation,[status(thm)],[f41280,f69928]) ).
fof(f69930,plain,
! [X0,X1,X2,X3] : meet(X0,join(X1,join(X2,meet(X3,join(X0,X1))))) = meet(X0,join(X1,join(X2,meet(X3,X0)))),
inference(forward_demodulation,[status(thm)],[f18,f69929]) ).
fof(f70464,plain,
! [X0,X1,X2,X3] : meet(X0,join(X1,meet(X2,join(X0,X3)))) = meet(X0,join(X1,join(meet(X2,X3),meet(X2,X0)))),
inference(backward_demodulation,[status(thm)],[f69930,f19]) ).
fof(f73363,plain,
! [X0,X1,X2,X3] : meet(X0,join(X1,meet(X2,join(X0,X3)))) = meet(X0,join(X1,join(meet(X0,X2),meet(X2,X3)))),
inference(paramodulation,[status(thm)],[f3815,f70464]) ).
fof(f74330,plain,
meet(a,join(b,meet(c,join(a,d)))) != meet(a,join(b,meet(c,join(a,d)))),
inference(backward_demodulation,[status(thm)],[f73363,f20]) ).
fof(f74331,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f74330]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : LAT160-1 : TPTP v8.1.2. Released v3.1.0.
% 0.02/0.10 % 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 : Tue May 30 09:37:19 EDT 2023
% 0.10/0.31 % CPUTime :
% 0.15/0.31 % Drodi V3.5.1
% 213.79/27.38 % Refutation found
% 213.79/27.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 213.79/27.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 216.79/27.81 % Elapsed time: 27.470405 seconds
% 216.79/27.81 % CPU time: 216.054684 seconds
% 216.79/27.81 % Memory used: 1.033 GB
%------------------------------------------------------------------------------