TSTP Solution File: LAT091-1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : LAT091-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n020.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 12:16:53 EDT 2023
% Result : Unsatisfiable 0.16s 0.43s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 6
% Syntax : Number of formulae : 78 ( 78 unt; 0 def)
% Number of atoms : 78 ( 77 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 : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 147 (; 147 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B] : join(meet(A,B),meet(A,join(A,B))) = A,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B] : join(meet(A,A),meet(B,join(A,A))) = A,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [A,B] : join(meet(A,B),meet(B,join(A,B))) = B,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [A,B,C] : meet(meet(join(A,B),join(C,A)),A) = A,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [A,B,C] : join(join(meet(A,B),meet(C,A)),A) = A,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
join(b,a) != join(a,b),
file('/export/starexec/sandbox2/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(b,a) != join(a,b),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f13,plain,
! [X0,X1] : join(meet(meet(X0,X1),meet(X0,join(X0,X1))),meet(meet(X0,X1),X0)) = meet(X0,X1),
inference(paramodulation,[status(thm)],[f7,f7]) ).
fof(f14,plain,
! [X0,X1] : join(meet(meet(X0,X0),meet(X1,join(X0,X0))),meet(meet(X0,X0),X0)) = meet(X0,X0),
inference(paramodulation,[status(thm)],[f8,f7]) ).
fof(f16,plain,
! [X0,X1] : join(meet(meet(X0,X0),meet(X1,join(X0,X0))),meet(meet(X1,join(X0,X0)),X0)) = meet(X1,join(X0,X0)),
inference(paramodulation,[status(thm)],[f8,f9]) ).
fof(f25,plain,
! [X0,X1] : meet(meet(join(X0,X1),X0),X0) = X0,
inference(paramodulation,[status(thm)],[f11,f10]) ).
fof(f30,plain,
! [X0,X1] : join(join(meet(X0,X1),X0),X0) = X0,
inference(paramodulation,[status(thm)],[f10,f11]) ).
fof(f32,plain,
! [X0,X1,X2] : join(X0,meet(X0,join(meet(join(X0,X1),join(X2,X0)),X0))) = X0,
inference(paramodulation,[status(thm)],[f10,f9]) ).
fof(f34,plain,
! [X0,X1,X2] : join(join(X0,meet(join(X0,X1),join(X2,X0))),meet(join(X0,X1),join(X2,X0))) = meet(join(X0,X1),join(X2,X0)),
inference(paramodulation,[status(thm)],[f10,f30]) ).
fof(f57,plain,
! [X0,X1] : join(X0,meet(X0,join(meet(X0,join(X1,X0)),X0))) = X0,
inference(paramodulation,[status(thm)],[f32,f32]) ).
fof(f67,plain,
! [X0,X1] : meet(meet(X0,join(X1,X0)),X0) = X0,
inference(paramodulation,[status(thm)],[f32,f10]) ).
fof(f88,plain,
! [X0,X1] : join(meet(X0,meet(X0,join(meet(X0,join(X1,X0)),X0))),meet(meet(X0,join(meet(X0,join(X1,X0)),X0)),X0)) = meet(X0,join(meet(X0,join(X1,X0)),X0)),
inference(paramodulation,[status(thm)],[f57,f9]) ).
fof(f89,plain,
! [X0,X1] : join(meet(X0,meet(X0,join(meet(X0,join(X1,X0)),X0))),X0) = meet(X0,join(meet(X0,join(X1,X0)),X0)),
inference(forward_demodulation,[status(thm)],[f67,f88]) ).
fof(f90,plain,
! [X0,X1] : join(meet(X0,meet(X0,join(meet(X0,join(X1,X0)),X0))),meet(X0,X0)) = X0,
inference(paramodulation,[status(thm)],[f57,f7]) ).
fof(f127,plain,
! [X0] : meet(meet(X0,X0),X0) = X0,
inference(paramodulation,[status(thm)],[f32,f25]) ).
fof(f143,plain,
! [X0,X1] : join(meet(meet(X0,X0),meet(X1,join(X0,X0))),X0) = meet(X0,X0),
inference(backward_demodulation,[status(thm)],[f127,f14]) ).
fof(f215,plain,
! [X0,X1] : join(meet(meet(X0,X0),meet(join(X0,X1),join(X0,X0))),X0) = meet(join(X0,X1),join(X0,X0)),
inference(paramodulation,[status(thm)],[f10,f16]) ).
fof(f216,plain,
! [X0,X1] : meet(X0,X0) = meet(join(X0,X1),join(X0,X0)),
inference(forward_demodulation,[status(thm)],[f143,f215]) ).
fof(f245,plain,
! [X0,X1] : meet(meet(meet(X0,join(X1,X0)),X0),meet(X0,join(X1,X0))) = meet(X0,join(X1,X0)),
inference(paramodulation,[status(thm)],[f9,f67]) ).
fof(f246,plain,
! [X0,X1] : meet(X0,meet(X0,join(X1,X0))) = meet(X0,join(X1,X0)),
inference(forward_demodulation,[status(thm)],[f67,f245]) ).
fof(f257,plain,
! [X0] : join(meet(meet(X0,X0),meet(X0,join(X0,X0))),X0) = meet(X0,join(X0,X0)),
inference(paramodulation,[status(thm)],[f67,f16]) ).
fof(f258,plain,
! [X0] : meet(X0,X0) = meet(X0,join(X0,X0)),
inference(forward_demodulation,[status(thm)],[f143,f257]) ).
fof(f282,plain,
! [X0,X1] : join(X0,meet(meet(X0,join(X1,X0)),join(meet(X0,join(X1,X0)),X0))) = meet(X0,join(X1,X0)),
inference(paramodulation,[status(thm)],[f67,f7]) ).
fof(f294,plain,
! [X0,X1] : join(meet(X0,join(meet(X0,join(X1,X0)),X0)),meet(X0,X0)) = X0,
inference(backward_demodulation,[status(thm)],[f246,f90]) ).
fof(f295,plain,
! [X0,X1] : join(meet(X0,join(meet(X0,join(X1,X0)),X0)),X0) = meet(X0,join(meet(X0,join(X1,X0)),X0)),
inference(backward_demodulation,[status(thm)],[f246,f89]) ).
fof(f312,plain,
! [X0] : join(meet(X0,X0),meet(X0,X0)) = X0,
inference(paramodulation,[status(thm)],[f258,f9]) ).
fof(f332,plain,
! [X0] : join(X0,X0) = X0,
inference(paramodulation,[status(thm)],[f312,f11]) ).
fof(f333,plain,
! [X0] : meet(meet(X0,X0),meet(X0,X0)) = meet(meet(X0,X0),X0),
inference(paramodulation,[status(thm)],[f312,f258]) ).
fof(f334,plain,
! [X0] : meet(meet(X0,X0),meet(X0,X0)) = X0,
inference(forward_demodulation,[status(thm)],[f127,f333]) ).
fof(f359,plain,
! [X0] : join(meet(meet(X0,X0),meet(X0,X0)),meet(meet(X0,X0),X0)) = meet(X0,X0),
inference(paramodulation,[status(thm)],[f312,f9]) ).
fof(f360,plain,
! [X0] : join(X0,meet(meet(X0,X0),X0)) = meet(X0,X0),
inference(forward_demodulation,[status(thm)],[f334,f359]) ).
fof(f361,plain,
! [X0] : join(X0,X0) = meet(X0,X0),
inference(forward_demodulation,[status(thm)],[f127,f360]) ).
fof(f362,plain,
! [X0] : X0 = meet(X0,X0),
inference(forward_demodulation,[status(thm)],[f332,f361]) ).
fof(f363,plain,
! [X0,X1] : join(meet(meet(X0,X0),meet(X0,X0)),meet(X1,X0)) = meet(X0,X0),
inference(paramodulation,[status(thm)],[f312,f8]) ).
fof(f364,plain,
! [X0,X1] : join(X0,meet(X1,X0)) = meet(X0,X0),
inference(forward_demodulation,[status(thm)],[f334,f363]) ).
fof(f365,plain,
! [X0,X1] : join(X0,meet(X1,X0)) = X0,
inference(forward_demodulation,[status(thm)],[f362,f364]) ).
fof(f410,plain,
! [X0,X1] : meet(X0,X0) = meet(join(X0,X1),X0),
inference(backward_demodulation,[status(thm)],[f332,f216]) ).
fof(f411,plain,
! [X0,X1] : X0 = meet(join(X0,X1),X0),
inference(forward_demodulation,[status(thm)],[f362,f410]) ).
fof(f432,plain,
! [X0,X1] : join(meet(meet(X0,X0),meet(X1,X0)),X0) = meet(X0,X0),
inference(backward_demodulation,[status(thm)],[f332,f143]) ).
fof(f433,plain,
! [X0,X1] : join(meet(X0,meet(X1,X0)),X0) = meet(X0,X0),
inference(forward_demodulation,[status(thm)],[f362,f432]) ).
fof(f434,plain,
! [X0,X1] : join(meet(X0,meet(X1,X0)),X0) = X0,
inference(forward_demodulation,[status(thm)],[f362,f433]) ).
fof(f486,plain,
! [X0,X1] : join(meet(X0,join(meet(X0,join(X1,X0)),X0)),X0) = X0,
inference(backward_demodulation,[status(thm)],[f362,f294]) ).
fof(f487,plain,
! [X0,X1] : meet(X0,join(meet(X0,join(X1,X0)),X0)) = X0,
inference(forward_demodulation,[status(thm)],[f295,f486]) ).
fof(f601,plain,
! [X0,X1] : join(meet(X0,X1),X0) = meet(X0,join(meet(X0,X1),X0)),
inference(paramodulation,[status(thm)],[f30,f411]) ).
fof(f603,plain,
! [X0,X1] : meet(X0,X1) = meet(X1,meet(X0,X1)),
inference(paramodulation,[status(thm)],[f9,f411]) ).
fof(f608,plain,
! [X0,X1] : join(meet(meet(join(X0,X1),X0),meet(join(X0,X1),join(join(X0,X1),X0))),meet(X0,join(X0,X1))) = meet(join(X0,X1),X0),
inference(paramodulation,[status(thm)],[f411,f13]) ).
fof(f609,plain,
! [X0,X1] : join(meet(X0,meet(join(X0,X1),join(join(X0,X1),X0))),meet(X0,join(X0,X1))) = meet(join(X0,X1),X0),
inference(forward_demodulation,[status(thm)],[f411,f608]) ).
fof(f610,plain,
! [X0,X1] : join(meet(X0,meet(join(X0,X1),join(join(X0,X1),X0))),meet(X0,join(X0,X1))) = X0,
inference(forward_demodulation,[status(thm)],[f411,f609]) ).
fof(f618,plain,
! [X0,X1] : join(X0,meet(join(X0,X1),join(join(X0,X1),X0))) = join(X0,X1),
inference(paramodulation,[status(thm)],[f411,f7]) ).
fof(f624,plain,
! [X0,X1] : join(meet(X0,join(X1,X0)),X0) = X0,
inference(backward_demodulation,[status(thm)],[f601,f487]) ).
fof(f631,plain,
! [X0,X1] : join(meet(X0,X1),X1) = X1,
inference(backward_demodulation,[status(thm)],[f603,f434]) ).
fof(f638,plain,
! [X0,X1] : join(X0,meet(meet(X0,join(X1,X0)),X0)) = meet(X0,join(X1,X0)),
inference(backward_demodulation,[status(thm)],[f624,f282]) ).
fof(f639,plain,
! [X0,X1] : X0 = meet(X0,join(X1,X0)),
inference(forward_demodulation,[status(thm)],[f365,f638]) ).
fof(f703,plain,
! [X0,X1] : join(X0,join(X1,X0)) = join(X1,X0),
inference(paramodulation,[status(thm)],[f639,f631]) ).
fof(f704,plain,
! [X0,X1] : join(join(X0,X1),X1) = join(X0,X1),
inference(paramodulation,[status(thm)],[f639,f365]) ).
fof(f727,plain,
! [X0,X1,X2] : join(X0,meet(join(X0,X1),join(X2,X0))) = meet(join(X0,X1),join(X2,X0)),
inference(backward_demodulation,[status(thm)],[f704,f34]) ).
fof(f728,plain,
! [X0,X1] : meet(join(X0,X1),join(join(X0,X1),X0)) = join(X0,X1),
inference(backward_demodulation,[status(thm)],[f727,f618]) ).
fof(f729,plain,
! [X0,X1] : join(meet(X0,join(X0,X1)),meet(X0,join(X0,X1))) = X0,
inference(backward_demodulation,[status(thm)],[f728,f610]) ).
fof(f730,plain,
! [X0,X1] : meet(X0,join(X0,X1)) = X0,
inference(forward_demodulation,[status(thm)],[f332,f729]) ).
fof(f764,plain,
! [X0,X1] : join(join(X0,X1),X0) = join(X0,X1),
inference(paramodulation,[status(thm)],[f730,f365]) ).
fof(f780,plain,
! [X0,X1] : X0 = meet(join(X1,X0),X0),
inference(paramodulation,[status(thm)],[f703,f411]) ).
fof(f796,plain,
! [X0,X1,X2] : join(join(X0,meet(X1,join(X2,X0))),join(X2,X0)) = join(X2,X0),
inference(paramodulation,[status(thm)],[f780,f11]) ).
fof(f1764,plain,
! [X0,X1] : join(join(X0,X1),join(X1,X0)) = join(X1,X0),
inference(paramodulation,[status(thm)],[f730,f796]) ).
fof(f1933,plain,
! [X0,X1] : join(join(join(X0,X1),join(X1,X0)),join(X0,X1)) = join(join(X1,X0),join(X0,X1)),
inference(paramodulation,[status(thm)],[f1764,f1764]) ).
fof(f1934,plain,
! [X0,X1] : join(join(X0,X1),join(X1,X0)) = join(join(X1,X0),join(X0,X1)),
inference(forward_demodulation,[status(thm)],[f764,f1933]) ).
fof(f1935,plain,
! [X0,X1] : join(X0,X1) = join(join(X0,X1),join(X1,X0)),
inference(forward_demodulation,[status(thm)],[f1764,f1934]) ).
fof(f1936,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(forward_demodulation,[status(thm)],[f1764,f1935]) ).
fof(f1937,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f12,f1936]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : LAT091-1 : TPTP v8.1.2. Released v2.6.0.
% 0.00/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.32 % Computer : n020.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Tue May 30 09:25:58 EDT 2023
% 0.10/0.33 % CPUTime :
% 0.10/0.33 % Drodi V3.5.1
% 0.16/0.43 % Refutation found
% 0.16/0.43 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.16/0.43 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.16/0.44 % Elapsed time: 0.114406 seconds
% 0.16/0.44 % CPU time: 0.439418 seconds
% 0.16/0.44 % Memory used: 8.836 MB
%------------------------------------------------------------------------------