TSTP Solution File: LAT026-1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : LAT026-1 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n016.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 12:16:46 EDT 2023
% Result : Unsatisfiable 163.50s 21.08s
% Output : CNFRefutation 166.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 8
% Syntax : Number of formulae : 51 ( 51 unt; 0 def)
% Number of atoms : 51 ( 50 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 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 : 121 (; 121 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X] : meet(X,X) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X] : join(X,X) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X,Y] : meet(X,Y) = meet(Y,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X,Y] : join(X,Y) = join(Y,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [X,Y,Z] : meet(meet(join(X,Y),join(Z,Y)),Y) = Y,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [X,Y,Z] : join(join(meet(X,Y),meet(Z,Y)),Y) = Y,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,hypothesis,
! [X,Y,Z] : meet(X,join(Y,join(X,Z))) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
meet(meet(a,b),c) != meet(a,meet(b,c)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,plain,
! [X0] : meet(X0,X0) = X0,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f10,plain,
! [X0] : join(X0,X0) = X0,
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f11,plain,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f12,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f13,plain,
! [X0,X1,X2] : meet(meet(join(X0,X1),join(X2,X1)),X1) = X1,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f14,plain,
! [X0,X1,X2] : join(join(meet(X0,X1),meet(X2,X1)),X1) = X1,
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f15,plain,
! [X0,X1,X2] : meet(X0,join(X1,join(X0,X2))) = X0,
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f16,plain,
meet(meet(a,b),c) != meet(a,meet(b,c)),
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f17,plain,
meet(meet(a,b),c) != meet(meet(b,c),a),
inference(forward_demodulation,[status(thm)],[f11,f16]) ).
fof(f23,plain,
! [X0,X1] : meet(X0,join(X1,X0)) = X0,
inference(paramodulation,[status(thm)],[f10,f15]) ).
fof(f24,plain,
! [X0,X1,X2] : meet(X0,meet(join(X1,X0),join(X2,X0))) = X0,
inference(paramodulation,[status(thm)],[f11,f13]) ).
fof(f28,plain,
! [X0,X1] : meet(join(X0,X1),X1) = X1,
inference(paramodulation,[status(thm)],[f9,f13]) ).
fof(f44,plain,
! [X0,X1] : meet(join(X0,X1),X0) = X0,
inference(paramodulation,[status(thm)],[f12,f28]) ).
fof(f71,plain,
! [X0,X1] : join(meet(X0,X1),X1) = X1,
inference(paramodulation,[status(thm)],[f10,f14]) ).
fof(f110,plain,
! [X0,X1] : join(X0,meet(X1,X0)) = X0,
inference(paramodulation,[status(thm)],[f12,f71]) ).
fof(f126,plain,
! [X0,X1] : meet(X0,meet(X1,X0)) = meet(X1,X0),
inference(paramodulation,[status(thm)],[f71,f44]) ).
fof(f133,plain,
! [X0,X1,X2] : meet(meet(X0,X1),join(X2,X1)) = meet(X0,X1),
inference(paramodulation,[status(thm)],[f71,f15]) ).
fof(f144,plain,
! [X0,X1] : join(X0,meet(X0,X1)) = X0,
inference(paramodulation,[status(thm)],[f11,f110]) ).
fof(f153,plain,
! [X0,X1,X2] : meet(meet(X0,join(X1,meet(X2,X0))),meet(X2,X0)) = meet(X2,X0),
inference(paramodulation,[status(thm)],[f110,f13]) ).
fof(f170,plain,
! [X0,X1] : meet(meet(X0,X1),X0) = meet(X0,X1),
inference(paramodulation,[status(thm)],[f144,f23]) ).
fof(f394,plain,
! [X0,X1,X2] : meet(meet(X0,X1),meet(X0,join(X2,meet(X0,X1)))) = meet(X0,X1),
inference(paramodulation,[status(thm)],[f144,f24]) ).
fof(f395,plain,
! [X0,X1,X2] : meet(meet(X0,X1),meet(X1,join(X2,meet(X0,X1)))) = meet(X0,X1),
inference(paramodulation,[status(thm)],[f110,f24]) ).
fof(f887,plain,
! [X0,X1,X2] : meet(meet(X0,join(X1,meet(X0,X2))),meet(X2,X0)) = meet(X2,X0),
inference(paramodulation,[status(thm)],[f11,f153]) ).
fof(f1362,plain,
! [X0,X1,X2] : meet(meet(X0,X1),meet(X1,join(X2,meet(X1,X0)))) = meet(X1,X0),
inference(paramodulation,[status(thm)],[f11,f394]) ).
fof(f24070,plain,
! [X0,X1,X2] : meet(meet(X0,meet(X1,X2)),X1) = meet(X0,meet(X1,X2)),
inference(paramodulation,[status(thm)],[f144,f133]) ).
fof(f29678,plain,
! [X0,X1,X2] : join(X0,meet(X1,meet(X0,X2))) = X0,
inference(paramodulation,[status(thm)],[f24070,f110]) ).
fof(f29721,plain,
! [X0,X1,X2] : join(X0,meet(meet(X0,X1),X2)) = X0,
inference(paramodulation,[status(thm)],[f170,f29678]) ).
fof(f29782,plain,
! [X0,X1,X2] : join(X0,meet(X1,meet(X2,X0))) = X0,
inference(paramodulation,[status(thm)],[f126,f29678]) ).
fof(f29846,plain,
! [X0,X1,X2] : meet(meet(X0,X1),meet(meet(X1,X2),X0)) = meet(meet(X1,X2),X0),
inference(paramodulation,[status(thm)],[f29678,f887]) ).
fof(f29847,plain,
! [X0,X1,X2] : meet(meet(meet(X0,X1),X2),meet(X2,X0)) = meet(X2,meet(X0,X1)),
inference(paramodulation,[status(thm)],[f29678,f1362]) ).
fof(f30318,plain,
! [X0,X1,X2] : join(X0,meet(meet(X1,X0),X2)) = X0,
inference(paramodulation,[status(thm)],[f170,f29782]) ).
fof(f30454,plain,
! [X0,X1,X2] : meet(meet(X0,X1),meet(meet(X2,X1),X0)) = meet(meet(X2,X1),X0),
inference(paramodulation,[status(thm)],[f29782,f887]) ).
fof(f31850,plain,
! [X0,X1,X2] : meet(meet(meet(X0,X1),X2),X1) = meet(meet(X0,X1),X2),
inference(paramodulation,[status(thm)],[f30318,f23]) ).
fof(f97790,plain,
! [X0,X1,X2] : meet(meet(meet(X0,join(X1,meet(X2,X0))),X2),meet(X2,X0)) = meet(meet(X2,X0),meet(X0,join(X1,meet(X2,X0)))),
inference(paramodulation,[status(thm)],[f395,f29846]) ).
fof(f97791,plain,
! [X0,X1,X2] : meet(X0,meet(X1,join(X2,meet(X0,X1)))) = meet(meet(X0,X1),meet(X1,join(X2,meet(X0,X1)))),
inference(forward_demodulation,[status(thm)],[f29847,f97790]) ).
fof(f97792,plain,
! [X0,X1,X2] : meet(X0,meet(X1,join(X2,meet(X0,X1)))) = meet(X0,X1),
inference(forward_demodulation,[status(thm)],[f395,f97791]) ).
fof(f98935,plain,
! [X0,X1,X2] : meet(meet(X0,X1),meet(X2,X1)) = meet(meet(X0,X1),X2),
inference(paramodulation,[status(thm)],[f30318,f97792]) ).
fof(f98936,plain,
! [X0,X1,X2] : meet(meet(X0,X1),meet(X2,X0)) = meet(meet(X0,X1),X2),
inference(paramodulation,[status(thm)],[f29721,f97792]) ).
fof(f99958,plain,
! [X0,X1,X2] : meet(meet(X0,X1),meet(X2,X1)) = meet(meet(X2,X1),X0),
inference(backward_demodulation,[status(thm)],[f98936,f30454]) ).
fof(f99959,plain,
! [X0,X1,X2] : meet(meet(X0,X1),X2) = meet(meet(X2,X1),X0),
inference(forward_demodulation,[status(thm)],[f98935,f99958]) ).
fof(f104052,plain,
! [X0,X1,X2] : meet(meet(X0,X1),X2) = meet(meet(X1,X2),meet(X0,X1)),
inference(paramodulation,[status(thm)],[f31850,f99959]) ).
fof(f104053,plain,
! [X0,X1,X2] : meet(meet(X0,X1),X2) = meet(meet(X1,X2),X0),
inference(forward_demodulation,[status(thm)],[f98936,f104052]) ).
fof(f104054,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f17,f104053]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.10 % Problem : LAT026-1 : TPTP v8.1.2. Released v2.2.0.
% 0.08/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31 % Computer : n016.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 09:53:59 EDT 2023
% 0.15/0.31 % CPUTime :
% 0.15/0.32 % Drodi V3.5.1
% 163.50/21.08 % Refutation found
% 163.50/21.08 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 163.50/21.08 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 168.03/22.50 % Elapsed time: 21.971691 seconds
% 168.03/22.50 % CPU time: 161.233974 seconds
% 168.03/22.50 % Memory used: 1.154 GB
%------------------------------------------------------------------------------