TSTP Solution File: LAT028-1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : LAT028-1 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n011.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 : Tue Apr 30 20:25:13 EDT 2024
% Result : Unsatisfiable 2.70s 0.76s
% Output : CNFRefutation 3.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 10
% Syntax : Number of formulae : 52 ( 52 unt; 0 def)
% Number of atoms : 52 ( 51 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 : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 114 ( 114 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X] : meet(X,X) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X] : join(X,X) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X,Y] : meet(X,Y) = meet(Y,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X,Y] : join(X,Y) = join(Y,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [X,Y,Z] : meet(meet(join(X,Y),join(Z,Y)),Y) = Y,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [X,Y,Z] : join(join(meet(X,Y),meet(Z,Y)),Y) = Y,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [X,Y] : meet2(X,Y) = meet2(Y,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [X,Y,Z] : meet2(meet2(join(X,Y),join(Z,Y)),Y) = Y,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [X,Y,Z] : join(join(meet2(X,Y),meet2(Z,Y)),Y) = Y,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,negated_conjecture,
meet(a,b) != meet2(a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,plain,
! [X0] : meet(X0,X0) = X0,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f13,plain,
! [X0] : join(X0,X0) = X0,
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f14,plain,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f15,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f16,plain,
! [X0,X1,X2] : meet(meet(join(X0,X1),join(X2,X1)),X1) = X1,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f17,plain,
! [X0,X1,X2] : join(join(meet(X0,X1),meet(X2,X1)),X1) = X1,
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f19,plain,
! [X0,X1] : meet2(X0,X1) = meet2(X1,X0),
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f20,plain,
! [X0,X1,X2] : meet2(meet2(join(X0,X1),join(X2,X1)),X1) = X1,
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f21,plain,
! [X0,X1,X2] : join(join(meet2(X0,X1),meet2(X2,X1)),X1) = X1,
inference(cnf_transformation,[status(esa)],[f10]) ).
fof(f22,plain,
meet(a,b) != meet2(a,b),
inference(cnf_transformation,[status(esa)],[f11]) ).
fof(f23,plain,
! [X0,X1,X2] : meet(X0,meet(join(X1,X0),join(X2,X0))) = X0,
inference(forward_demodulation,[status(thm)],[f14,f16]) ).
fof(f24,plain,
! [X0,X1,X2] : join(X0,join(meet(X1,X0),meet(X2,X0))) = X0,
inference(forward_demodulation,[status(thm)],[f15,f17]) ).
fof(f25,plain,
! [X0,X1,X2] : meet2(X0,meet2(join(X1,X0),join(X2,X0))) = X0,
inference(forward_demodulation,[status(thm)],[f19,f20]) ).
fof(f26,plain,
! [X0,X1,X2] : join(X0,join(meet2(X1,X0),meet2(X2,X0))) = X0,
inference(forward_demodulation,[status(thm)],[f15,f21]) ).
fof(f29,plain,
! [X0,X1] : meet(X0,join(X1,X0)) = X0,
inference(paramodulation,[status(thm)],[f12,f23]) ).
fof(f35,plain,
! [X0,X1,X2] : join(X0,join(meet(X0,X1),meet(X2,X0))) = X0,
inference(paramodulation,[status(thm)],[f14,f24]) ).
fof(f48,plain,
! [X0,X1,X2,X3] : meet2(join(meet(X0,X1),meet(X2,X1)),meet2(join(X3,join(meet(X0,X1),meet(X2,X1))),X1)) = join(meet(X0,X1),meet(X2,X1)),
inference(paramodulation,[status(thm)],[f24,f25]) ).
fof(f49,plain,
! [X0,X1,X2,X3] : meet2(join(meet(X0,X1),meet(X2,X1)),meet2(X1,join(X3,join(meet(X0,X1),meet(X2,X1))))) = join(meet(X0,X1),meet(X2,X1)),
inference(forward_demodulation,[status(thm)],[f19,f48]) ).
fof(f94,plain,
! [X0,X1,X2] : join(X0,join(meet2(X0,X1),meet2(X2,X0))) = X0,
inference(paramodulation,[status(thm)],[f19,f26]) ).
fof(f112,plain,
! [X0,X1,X2,X3] : meet(join(meet2(X0,X1),meet2(X2,X1)),meet(join(X3,join(meet2(X0,X1),meet2(X2,X1))),X1)) = join(meet2(X0,X1),meet2(X2,X1)),
inference(paramodulation,[status(thm)],[f26,f23]) ).
fof(f113,plain,
! [X0,X1,X2,X3] : meet(join(meet2(X0,X1),meet2(X2,X1)),meet(X1,join(X3,join(meet2(X0,X1),meet2(X2,X1))))) = join(meet2(X0,X1),meet2(X2,X1)),
inference(forward_demodulation,[status(thm)],[f14,f112]) ).
fof(f160,plain,
! [X0,X1,X2] : join(X0,join(meet(X0,X1),meet(X0,X2))) = X0,
inference(paramodulation,[status(thm)],[f14,f35]) ).
fof(f388,plain,
! [X0,X1] : join(X0,meet2(X1,X0)) = X0,
inference(paramodulation,[status(thm)],[f13,f26]) ).
fof(f489,plain,
! [X0,X1] : meet(meet2(X0,X1),X1) = meet2(X0,X1),
inference(paramodulation,[status(thm)],[f388,f29]) ).
fof(f490,plain,
! [X0,X1] : meet(X0,meet2(X1,X0)) = meet2(X1,X0),
inference(forward_demodulation,[status(thm)],[f14,f489]) ).
fof(f2243,plain,
! [X0,X1,X2] : join(X0,join(meet2(X0,X1),meet2(X0,X2))) = X0,
inference(paramodulation,[status(thm)],[f19,f94]) ).
fof(f2773,plain,
! [X0,X1] : meet2(join(meet(X0,X1),meet(X0,X1)),meet2(X1,X0)) = join(meet(X0,X1),meet(X0,X1)),
inference(paramodulation,[status(thm)],[f160,f49]) ).
fof(f2774,plain,
! [X0,X1] : meet2(meet2(X0,X1),join(meet(X1,X0),meet(X1,X0))) = join(meet(X1,X0),meet(X1,X0)),
inference(forward_demodulation,[status(thm)],[f19,f2773]) ).
fof(f2775,plain,
! [X0,X1] : meet2(meet2(X0,X1),meet(X1,X0)) = join(meet(X1,X0),meet(X1,X0)),
inference(forward_demodulation,[status(thm)],[f13,f2774]) ).
fof(f2776,plain,
! [X0,X1] : meet2(meet(X0,X1),meet2(X1,X0)) = join(meet(X0,X1),meet(X0,X1)),
inference(forward_demodulation,[status(thm)],[f19,f2775]) ).
fof(f2777,plain,
! [X0,X1] : meet2(meet(X0,X1),meet2(X1,X0)) = meet(X0,X1),
inference(forward_demodulation,[status(thm)],[f13,f2776]) ).
fof(f4898,plain,
! [X0,X1] : meet(join(meet2(X0,X1),meet2(X0,X1)),meet(X1,X0)) = join(meet2(X0,X1),meet2(X0,X1)),
inference(paramodulation,[status(thm)],[f2243,f113]) ).
fof(f4899,plain,
! [X0,X1] : meet(meet(X0,X1),join(meet2(X1,X0),meet2(X1,X0))) = join(meet2(X1,X0),meet2(X1,X0)),
inference(forward_demodulation,[status(thm)],[f14,f4898]) ).
fof(f4900,plain,
! [X0,X1] : meet(meet(X0,X1),meet2(X1,X0)) = join(meet2(X1,X0),meet2(X1,X0)),
inference(forward_demodulation,[status(thm)],[f13,f4899]) ).
fof(f4901,plain,
! [X0,X1] : meet(meet(X0,X1),meet2(X1,X0)) = meet2(X1,X0),
inference(forward_demodulation,[status(thm)],[f13,f4900]) ).
fof(f5757,plain,
! [X0,X1] : meet(meet2(X0,X1),meet(X1,X0)) = meet2(meet(X1,X0),meet2(X0,X1)),
inference(paramodulation,[status(thm)],[f2777,f490]) ).
fof(f5758,plain,
! [X0,X1] : meet(meet(X0,X1),meet2(X1,X0)) = meet2(meet(X0,X1),meet2(X1,X0)),
inference(forward_demodulation,[status(thm)],[f14,f5757]) ).
fof(f5759,plain,
! [X0,X1] : meet2(X0,X1) = meet2(meet(X1,X0),meet2(X0,X1)),
inference(forward_demodulation,[status(thm)],[f4901,f5758]) ).
fof(f5760,plain,
! [X0,X1] : meet2(X0,X1) = meet(X1,X0),
inference(forward_demodulation,[status(thm)],[f2777,f5759]) ).
fof(f5798,plain,
meet(a,b) != meet(b,a),
inference(backward_demodulation,[status(thm)],[f5760,f22]) ).
fof(f5799,plain,
meet(a,b) != meet(a,b),
inference(forward_demodulation,[status(thm)],[f14,f5798]) ).
fof(f5800,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f5799]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : LAT028-1 : TPTP v8.1.2. Released v2.2.0.
% 0.07/0.14 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.15/0.35 % Computer : n011.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Mon Apr 29 20:04:46 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % Drodi V3.6.0
% 2.70/0.76 % Refutation found
% 2.70/0.76 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 2.70/0.76 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 3.12/0.78 % Elapsed time: 0.417674 seconds
% 3.12/0.78 % CPU time: 3.188302 seconds
% 3.12/0.78 % Total memory used: 71.506 MB
% 3.12/0.78 % Net memory used: 70.074 MB
%------------------------------------------------------------------------------