TSTP Solution File: LAT019-1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : LAT019-1 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n009.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 12:16:45 EDT 2023
% Result : Unsatisfiable 3.71s 0.90s
% Output : CNFRefutation 3.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 9
% Syntax : Number of formulae : 65 ( 65 unt; 0 def)
% Number of atoms : 65 ( 64 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 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 : 154 (; 154 !; 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(X,Y),Z) = meet(X,meet(Y,Z)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [X,Y,Z] : join(join(X,Y),Z) = join(X,join(Y,Z)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [X,Y,Z] : meet(join(X,meet(Y,Z)),join(X,Y)) = join(X,meet(Y,Z)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,hypothesis,
! [X,Y,Z] : meet(X,join(Y,Z)) = join(meet(X,Y),meet(X,Z)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,negated_conjecture,
join(a,meet(b,c)) != meet(join(a,b),join(a,c)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,plain,
! [X0] : meet(X0,X0) = X0,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f12,plain,
! [X0] : join(X0,X0) = X0,
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f13,plain,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f14,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f15,plain,
! [X0,X1,X2] : meet(meet(X0,X1),X2) = meet(X0,meet(X1,X2)),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f16,plain,
! [X0,X1,X2] : join(join(X0,X1),X2) = join(X0,join(X1,X2)),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f18,plain,
! [X0,X1,X2] : meet(join(X0,meet(X1,X2)),join(X0,X1)) = join(X0,meet(X1,X2)),
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f19,plain,
! [X0,X1,X2] : meet(X0,join(X1,X2)) = join(meet(X0,X1),meet(X0,X2)),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f20,plain,
join(a,meet(b,c)) != meet(join(a,b),join(a,c)),
inference(cnf_transformation,[status(esa)],[f10]) ).
fof(f22,plain,
! [X0,X1,X2] : meet(join(X0,X1),join(X0,meet(X1,X2))) = join(X0,meet(X1,X2)),
inference(forward_demodulation,[status(thm)],[f13,f18]) ).
fof(f24,plain,
! [X0,X1,X2] : meet(X0,meet(X1,X2)) = meet(X1,meet(X2,X0)),
inference(paramodulation,[status(thm)],[f13,f15]) ).
fof(f34,plain,
! [X0,X1] : meet(X0,X1) = meet(X0,meet(X0,X1)),
inference(paramodulation,[status(thm)],[f11,f15]) ).
fof(f44,plain,
! [X0,X1] : meet(X0,X1) = meet(X0,meet(X1,X0)),
inference(paramodulation,[status(thm)],[f13,f34]) ).
fof(f87,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(X0,X1)),
inference(paramodulation,[status(thm)],[f12,f16]) ).
fof(f151,plain,
! [X0,X1,X2] : meet(X0,meet(X1,X2)) = meet(X2,meet(X1,X0)),
inference(paramodulation,[status(thm)],[f13,f24]) ).
fof(f674,plain,
! [X0,X1,X2] : meet(join(X0,X1),join(X0,meet(join(X0,X1),X2))) = join(X0,meet(join(X0,X1),X2)),
inference(paramodulation,[status(thm)],[f87,f22]) ).
fof(f675,plain,
! [X0,X1,X2] : meet(join(X0,X1),join(X1,meet(X0,X2))) = join(X1,meet(X0,X2)),
inference(paramodulation,[status(thm)],[f14,f22]) ).
fof(f677,plain,
! [X0,X1] : meet(X0,join(X0,meet(X0,X1))) = join(X0,meet(X0,X1)),
inference(paramodulation,[status(thm)],[f12,f22]) ).
fof(f681,plain,
! [X0,X1,X2] : meet(join(X0,X1),join(meet(X1,X2),X0)) = join(X0,meet(X1,X2)),
inference(paramodulation,[status(thm)],[f14,f22]) ).
fof(f683,plain,
! [X0,X1] : meet(join(meet(X0,X1),X0),meet(X0,X1)) = join(meet(X0,X1),meet(X0,X1)),
inference(paramodulation,[status(thm)],[f12,f22]) ).
fof(f684,plain,
! [X0,X1] : meet(X0,meet(X1,join(meet(X1,X0),X1))) = join(meet(X1,X0),meet(X1,X0)),
inference(forward_demodulation,[status(thm)],[f151,f683]) ).
fof(f685,plain,
! [X0,X1] : meet(X0,meet(X1,join(X1,meet(X1,X0)))) = join(meet(X1,X0),meet(X1,X0)),
inference(forward_demodulation,[status(thm)],[f14,f684]) ).
fof(f686,plain,
! [X0,X1] : meet(X0,join(X1,meet(X1,X0))) = join(meet(X1,X0),meet(X1,X0)),
inference(forward_demodulation,[status(thm)],[f677,f685]) ).
fof(f687,plain,
! [X0,X1] : meet(X0,join(X1,meet(X1,X0))) = meet(X1,X0),
inference(forward_demodulation,[status(thm)],[f12,f686]) ).
fof(f704,plain,
! [X0,X1,X2] : meet(join(X0,X1),join(X0,meet(X2,X1))) = join(X0,meet(X1,X2)),
inference(paramodulation,[status(thm)],[f13,f22]) ).
fof(f722,plain,
! [X0,X1,X2] : meet(X0,join(X1,X2)) = join(meet(X0,X2),meet(X0,X1)),
inference(paramodulation,[status(thm)],[f14,f19]) ).
fof(f723,plain,
! [X0,X1,X2] : meet(X0,join(X1,X2)) = meet(X0,join(X2,X1)),
inference(forward_demodulation,[status(thm)],[f19,f722]) ).
fof(f742,plain,
! [X0,X1,X2] : meet(X0,join(meet(X1,X0),X2)) = join(meet(X0,X1),meet(X0,X2)),
inference(paramodulation,[status(thm)],[f44,f19]) ).
fof(f743,plain,
! [X0,X1,X2] : meet(X0,join(meet(X1,X0),X2)) = meet(X0,join(X1,X2)),
inference(forward_demodulation,[status(thm)],[f19,f742]) ).
fof(f746,plain,
! [X0,X1,X2] : meet(X0,join(X1,X2)) = join(meet(X1,X0),meet(X0,X2)),
inference(paramodulation,[status(thm)],[f13,f19]) ).
fof(f748,plain,
! [X0,X1] : meet(X0,join(X0,X1)) = join(X0,meet(X0,X1)),
inference(paramodulation,[status(thm)],[f11,f19]) ).
fof(f765,plain,
! [X0,X1,X2] : meet(X0,join(X1,meet(X0,X2))) = join(meet(X0,X1),meet(X0,X2)),
inference(paramodulation,[status(thm)],[f34,f19]) ).
fof(f766,plain,
! [X0,X1,X2] : meet(X0,join(X1,meet(X0,X2))) = meet(X0,join(X1,X2)),
inference(forward_demodulation,[status(thm)],[f19,f765]) ).
fof(f804,plain,
! [X0,X1] : meet(X0,meet(X1,join(X1,X0))) = meet(X1,X0),
inference(backward_demodulation,[status(thm)],[f748,f687]) ).
fof(f806,plain,
! [X0,X1,X2] : meet(join(X0,X1),join(X0,X2)) = join(X0,meet(join(X0,X1),X2)),
inference(backward_demodulation,[status(thm)],[f766,f674]) ).
fof(f863,plain,
! [X0,X1,X2] : join(meet(X0,join(X0,X1)),X2) = join(X0,join(meet(X0,X1),X2)),
inference(paramodulation,[status(thm)],[f748,f16]) ).
fof(f867,plain,
! [X0,X1,X2] : meet(join(X0,X1),X2) = meet(X2,join(X1,X0)),
inference(paramodulation,[status(thm)],[f13,f723]) ).
fof(f869,plain,
! [X0,X1] : join(X0,X1) = meet(join(X0,X1),join(X1,X0)),
inference(paramodulation,[status(thm)],[f11,f723]) ).
fof(f1285,plain,
! [X0,X1,X2] : meet(join(X0,X1),join(X0,meet(X2,X1))) = join(X0,meet(X1,meet(X2,join(X2,X1)))),
inference(paramodulation,[status(thm)],[f804,f22]) ).
fof(f1286,plain,
! [X0,X1,X2] : join(X0,meet(X1,X2)) = join(X0,meet(X1,meet(X2,join(X2,X1)))),
inference(forward_demodulation,[status(thm)],[f704,f1285]) ).
fof(f1287,plain,
! [X0,X1,X2] : join(X0,meet(X1,X2)) = join(X0,meet(X2,X1)),
inference(forward_demodulation,[status(thm)],[f804,f1286]) ).
fof(f2337,plain,
! [X0,X1,X2] : meet(join(X0,X1),X2) = meet(join(X1,X0),X2),
inference(paramodulation,[status(thm)],[f13,f867]) ).
fof(f2954,plain,
! [X0,X1,X2,X3] : meet(join(X0,X1),join(meet(X2,join(X1,X0)),X3)) = meet(join(X1,X0),join(X2,X3)),
inference(paramodulation,[status(thm)],[f2337,f743]) ).
fof(f3649,plain,
! [X0,X1] : meet(join(X0,X1),join(X1,X0)) = join(X0,meet(X1,join(X0,X1))),
inference(paramodulation,[status(thm)],[f743,f681]) ).
fof(f3650,plain,
! [X0,X1] : join(X0,X1) = join(X0,meet(X1,join(X0,X1))),
inference(forward_demodulation,[status(thm)],[f869,f3649]) ).
fof(f3949,plain,
! [X0,X1] : join(X0,X1) = join(X0,meet(X1,join(X1,X0))),
inference(paramodulation,[status(thm)],[f723,f3650]) ).
fof(f4266,plain,
! [X0,X1,X2] : meet(join(X0,X1),join(meet(X1,join(X1,X0)),meet(X0,X2))) = join(meet(X1,join(X1,X0)),meet(X0,X2)),
inference(paramodulation,[status(thm)],[f3949,f675]) ).
fof(f4267,plain,
! [X0,X1,X2] : meet(join(X0,X1),join(X0,meet(X1,X2))) = join(meet(X0,join(X0,X1)),meet(X1,X2)),
inference(forward_demodulation,[status(thm)],[f2954,f4266]) ).
fof(f4268,plain,
! [X0,X1,X2] : join(X0,meet(X1,X2)) = join(meet(X0,join(X0,X1)),meet(X1,X2)),
inference(forward_demodulation,[status(thm)],[f22,f4267]) ).
fof(f4269,plain,
! [X0,X1,X2] : join(X0,meet(X1,X2)) = join(X0,join(meet(X0,X1),meet(X1,X2))),
inference(forward_demodulation,[status(thm)],[f863,f4268]) ).
fof(f4270,plain,
! [X0,X1,X2] : join(X0,meet(X1,X2)) = join(X0,meet(X1,join(X0,X2))),
inference(forward_demodulation,[status(thm)],[f746,f4269]) ).
fof(f5757,plain,
! [X0,X1,X2] : join(X0,meet(X1,X2)) = join(X0,meet(join(X0,X2),X1)),
inference(paramodulation,[status(thm)],[f1287,f4270]) ).
fof(f5758,plain,
! [X0,X1,X2] : join(X0,meet(X1,X2)) = meet(join(X0,X2),join(X0,X1)),
inference(forward_demodulation,[status(thm)],[f806,f5757]) ).
fof(f5992,plain,
join(a,meet(b,c)) != join(a,meet(c,b)),
inference(backward_demodulation,[status(thm)],[f5758,f20]) ).
fof(f5993,plain,
join(a,meet(b,c)) != join(a,meet(b,c)),
inference(forward_demodulation,[status(thm)],[f1287,f5992]) ).
fof(f5994,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f5993]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : LAT019-1 : TPTP v8.1.2. Released v2.2.0.
% 0.00/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.30 % Computer : n009.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
% 0.14/0.30 % CPULimit : 300
% 0.14/0.30 % WCLimit : 300
% 0.14/0.30 % DateTime : Tue May 30 09:24:01 EDT 2023
% 0.14/0.30 % CPUTime :
% 0.14/0.31 % Drodi V3.5.1
% 3.71/0.90 % Refutation found
% 3.71/0.90 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 3.71/0.90 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 3.71/0.92 % Elapsed time: 0.615639 seconds
% 3.71/0.92 % CPU time: 3.940888 seconds
% 3.71/0.92 % Memory used: 31.087 MB
%------------------------------------------------------------------------------