TSTP Solution File: LAT089-1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : LAT089-1 : TPTP v8.1.2. Released v2.6.0.
% 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 12:16:53 EDT 2023
% Result : Unsatisfiable 0.14s 0.37s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 6
% Syntax : Number of formulae : 56 ( 56 unt; 0 def)
% Number of atoms : 56 ( 55 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 : 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 : 123 (; 123 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B] : join(meet(A,B),meet(A,join(A,B))) = A,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B] : join(meet(A,A),meet(B,join(A,A))) = A,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [A,B] : join(meet(A,B),meet(B,join(A,B))) = B,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [A,B,C] : meet(meet(join(A,B),join(C,A)),A) = A,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [A,B,C] : join(join(meet(A,B),meet(C,A)),A) = A,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
meet(b,a) != meet(a,b),
file('/export/starexec/sandbox/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,
meet(b,a) != meet(a,b),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f16,plain,
! [X0,X1,X2] : meet(meet(X0,join(X1,meet(X0,X2))),meet(X0,X2)) = meet(X0,X2),
inference(paramodulation,[status(thm)],[f7,f10]) ).
fof(f18,plain,
! [X0,X1,X2,X3] : meet(meet(meet(join(X0,X1),join(X2,X0)),join(X3,X0)),meet(meet(join(X0,X1),join(X2,X0)),X0)) = meet(meet(join(X0,X1),join(X2,X0)),X0),
inference(paramodulation,[status(thm)],[f10,f16]) ).
fof(f19,plain,
! [X0,X1,X2,X3] : meet(meet(meet(join(X0,X1),join(X2,X0)),join(X3,X0)),X0) = meet(meet(join(X0,X1),join(X2,X0)),X0),
inference(forward_demodulation,[status(thm)],[f10,f18]) ).
fof(f20,plain,
! [X0,X1,X2,X3] : meet(meet(meet(join(X0,X1),join(X2,X0)),join(X3,X0)),X0) = X0,
inference(forward_demodulation,[status(thm)],[f10,f19]) ).
fof(f86,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(f94,plain,
! [X0,X1] : meet(meet(X0,X0),meet(X0,join(X1,X0))) = meet(X0,join(X1,X0)),
inference(paramodulation,[status(thm)],[f9,f16]) ).
fof(f102,plain,
! [X0,X1,X2] : meet(meet(X0,join(X1,meet(X2,X0))),meet(X2,X0)) = meet(X2,X0),
inference(paramodulation,[status(thm)],[f9,f10]) ).
fof(f107,plain,
! [X0,X1] : join(X0,meet(X0,join(meet(X0,join(X1,X0)),X0))) = X0,
inference(paramodulation,[status(thm)],[f86,f86]) ).
fof(f114,plain,
! [X0,X1,X2] : join(meet(X0,meet(X0,join(meet(join(X0,X1),join(X2,X0)),X0))),meet(meet(X0,join(meet(join(X0,X1),join(X2,X0)),X0)),X0)) = meet(X0,join(meet(join(X0,X1),join(X2,X0)),X0)),
inference(paramodulation,[status(thm)],[f86,f9]) ).
fof(f120,plain,
! [X0,X1,X2] : join(meet(X0,meet(X0,join(meet(join(X0,X1),join(X2,X0)),X0))),meet(X0,X0)) = X0,
inference(paramodulation,[status(thm)],[f86,f7]) ).
fof(f122,plain,
! [X0,X1] : meet(meet(X0,join(X1,X0)),X0) = X0,
inference(paramodulation,[status(thm)],[f86,f10]) ).
fof(f123,plain,
! [X0,X1,X2] : join(meet(X0,meet(X0,join(meet(join(X0,X1),join(X2,X0)),X0))),X0) = meet(X0,join(meet(join(X0,X1),join(X2,X0)),X0)),
inference(backward_demodulation,[status(thm)],[f122,f114]) ).
fof(f130,plain,
! [X0,X1] : join(join(meet(X0,X1),X0),X0) = X0,
inference(paramodulation,[status(thm)],[f20,f11]) ).
fof(f139,plain,
! [X0,X1,X2] : meet(meet(meet(join(X0,X1),join(X2,X0)),X0),X0) = X0,
inference(paramodulation,[status(thm)],[f11,f20]) ).
fof(f140,plain,
! [X0] : meet(X0,X0) = X0,
inference(forward_demodulation,[status(thm)],[f10,f139]) ).
fof(f150,plain,
! [X0,X1] : join(X0,meet(X1,join(X0,X0))) = X0,
inference(backward_demodulation,[status(thm)],[f140,f8]) ).
fof(f157,plain,
! [X0,X1,X2] : join(meet(X0,meet(X0,join(meet(join(X0,X1),join(X2,X0)),X0))),X0) = X0,
inference(backward_demodulation,[status(thm)],[f140,f120]) ).
fof(f158,plain,
! [X0,X1,X2] : meet(X0,join(meet(join(X0,X1),join(X2,X0)),X0)) = X0,
inference(forward_demodulation,[status(thm)],[f123,f157]) ).
fof(f159,plain,
! [X0,X1] : meet(X0,meet(X0,join(X1,X0))) = meet(X0,join(X1,X0)),
inference(backward_demodulation,[status(thm)],[f140,f94]) ).
fof(f172,plain,
! [X0] : join(X0,X0) = X0,
inference(backward_demodulation,[status(thm)],[f158,f86]) ).
fof(f186,plain,
! [X0,X1] : join(X0,meet(X1,X0)) = X0,
inference(backward_demodulation,[status(thm)],[f172,f150]) ).
fof(f281,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)],[f122,f7]) ).
fof(f427,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)],[f107,f9]) ).
fof(f428,plain,
! [X0,X1] : join(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(forward_demodulation,[status(thm)],[f159,f427]) ).
fof(f429,plain,
! [X0,X1] : join(meet(X0,join(meet(X0,join(X1,X0)),X0)),X0) = meet(X0,join(meet(X0,join(X1,X0)),X0)),
inference(forward_demodulation,[status(thm)],[f122,f428]) ).
fof(f433,plain,
! [X0,X1] : join(meet(X0,meet(X0,join(meet(X0,join(X1,X0)),X0))),meet(X0,X0)) = X0,
inference(paramodulation,[status(thm)],[f107,f7]) ).
fof(f434,plain,
! [X0,X1] : join(meet(X0,join(meet(X0,join(X1,X0)),X0)),meet(X0,X0)) = X0,
inference(forward_demodulation,[status(thm)],[f159,f433]) ).
fof(f435,plain,
! [X0,X1] : join(meet(X0,join(meet(X0,join(X1,X0)),X0)),X0) = X0,
inference(forward_demodulation,[status(thm)],[f140,f434]) ).
fof(f436,plain,
! [X0,X1] : meet(X0,join(meet(X0,join(X1,X0)),X0)) = X0,
inference(forward_demodulation,[status(thm)],[f429,f435]) ).
fof(f458,plain,
! [X0,X1] : join(join(meet(X0,join(X1,X0)),X0),X0) = join(meet(X0,join(X1,X0)),X0),
inference(paramodulation,[status(thm)],[f436,f186]) ).
fof(f459,plain,
! [X0,X1] : X0 = join(meet(X0,join(X1,X0)),X0),
inference(forward_demodulation,[status(thm)],[f130,f458]) ).
fof(f484,plain,
! [X0,X1] : join(X0,meet(meet(X0,join(X1,X0)),X0)) = meet(X0,join(X1,X0)),
inference(backward_demodulation,[status(thm)],[f459,f281]) ).
fof(f485,plain,
! [X0,X1] : X0 = meet(X0,join(X1,X0)),
inference(forward_demodulation,[status(thm)],[f186,f484]) ).
fof(f534,plain,
! [X0,X1] : join(join(X0,X1),X1) = join(X0,X1),
inference(paramodulation,[status(thm)],[f485,f186]) ).
fof(f548,plain,
! [X0,X1] : join(meet(X0,X1),X0) = X0,
inference(backward_demodulation,[status(thm)],[f534,f130]) ).
fof(f729,plain,
! [X0,X1] : join(meet(meet(X0,X1),X0),meet(meet(X0,X1),X0)) = meet(X0,X1),
inference(paramodulation,[status(thm)],[f548,f7]) ).
fof(f730,plain,
! [X0,X1] : meet(meet(X0,X1),X0) = meet(X0,X1),
inference(forward_demodulation,[status(thm)],[f172,f729]) ).
fof(f1025,plain,
! [X0,X1] : join(X0,meet(X0,X1)) = X0,
inference(paramodulation,[status(thm)],[f730,f186]) ).
fof(f1049,plain,
! [X0,X1] : meet(meet(X0,X1),meet(X1,X0)) = meet(X1,X0),
inference(paramodulation,[status(thm)],[f1025,f102]) ).
fof(f1373,plain,
! [X0,X1] : meet(meet(meet(X0,X1),meet(X1,X0)),meet(X0,X1)) = meet(meet(X1,X0),meet(X0,X1)),
inference(paramodulation,[status(thm)],[f1049,f1049]) ).
fof(f1374,plain,
! [X0,X1] : meet(meet(X0,X1),meet(X1,X0)) = meet(meet(X1,X0),meet(X0,X1)),
inference(forward_demodulation,[status(thm)],[f730,f1373]) ).
fof(f1375,plain,
! [X0,X1] : meet(X0,X1) = meet(meet(X0,X1),meet(X1,X0)),
inference(forward_demodulation,[status(thm)],[f1049,f1374]) ).
fof(f1376,plain,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
inference(forward_demodulation,[status(thm)],[f1049,f1375]) ).
fof(f1377,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f12,f1376]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.09 % Problem : LAT089-1 : TPTP v8.1.2. Released v2.6.0.
% 0.08/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.30 % Computer : n031.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 09:50:52 EDT 2023
% 0.09/0.30 % CPUTime :
% 0.09/0.31 % Drodi V3.5.1
% 0.14/0.37 % Refutation found
% 0.14/0.37 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.37 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.40 % Elapsed time: 0.089004 seconds
% 0.14/0.40 % CPU time: 0.235897 seconds
% 0.14/0.40 % Memory used: 5.189 MB
%------------------------------------------------------------------------------