TSTP Solution File: LAT011-1 by Drodi---3.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : LAT011-1 : 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 12:16:44 EDT 2023
% Result : Unsatisfiable 80.75s 10.54s
% Output : CNFRefutation 81.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 10
% Syntax : Number of formulae : 45 ( 45 unt; 0 def)
% Number of atoms : 45 ( 44 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 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; 2 con; 0-2 aty)
% Number of variables : 90 (; 90 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X,Y] : meet(X,join(X,Y)) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X,Y] : join(X,meet(X,Y)) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [X,Y] : meet(X,Y) = meet(Y,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [X,Y] : join(X,Y) = join(Y,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [X,Y,Z] : meet(meet(X,Y),Z) = meet(X,meet(Y,Z)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [X,Y] : meet2(X,Y) = meet2(Y,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [X,Y] : meet2(X,join(X,Y)) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [X,Y] : join(X,meet2(X,Y)) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,axiom,
! [X,Y,Z] : meet2(meet2(X,Y),Z) = meet2(X,meet2(Y,Z)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,negated_conjecture,
meet(a,b) != meet2(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,plain,
! [X0,X1] : meet(X0,join(X0,X1)) = X0,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f18,plain,
! [X0,X1] : join(X0,meet(X0,X1)) = X0,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f19,plain,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f20,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f21,plain,
! [X0,X1,X2] : meet(meet(X0,X1),X2) = meet(X0,meet(X1,X2)),
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f24,plain,
! [X0,X1] : meet2(X0,X1) = meet2(X1,X0),
inference(cnf_transformation,[status(esa)],[f10]) ).
fof(f25,plain,
! [X0,X1] : meet2(X0,join(X0,X1)) = X0,
inference(cnf_transformation,[status(esa)],[f11]) ).
fof(f26,plain,
! [X0,X1] : join(X0,meet2(X0,X1)) = X0,
inference(cnf_transformation,[status(esa)],[f12]) ).
fof(f27,plain,
! [X0,X1,X2] : meet2(meet2(X0,X1),X2) = meet2(X0,meet2(X1,X2)),
inference(cnf_transformation,[status(esa)],[f13]) ).
fof(f28,plain,
meet(a,b) != meet2(a,b),
inference(cnf_transformation,[status(esa)],[f14]) ).
fof(f33,plain,
! [X0,X1] : join(X0,meet(X1,X0)) = X0,
inference(paramodulation,[status(thm)],[f19,f18]) ).
fof(f36,plain,
! [X0,X1] : join(X0,meet2(X1,X0)) = X0,
inference(paramodulation,[status(thm)],[f24,f26]) ).
fof(f107,plain,
! [X0,X1,X2] : join(meet(X0,X1),meet(X0,meet(X1,X2))) = meet(X0,X1),
inference(paramodulation,[status(thm)],[f21,f18]) ).
fof(f153,plain,
! [X0,X1,X2] : meet2(meet2(X0,X1),X2) = meet2(X1,meet2(X0,X2)),
inference(paramodulation,[status(thm)],[f24,f27]) ).
fof(f154,plain,
! [X0,X1,X2] : meet2(X0,meet2(X1,X2)) = meet2(X1,meet2(X0,X2)),
inference(forward_demodulation,[status(thm)],[f27,f153]) ).
fof(f228,plain,
! [X0,X1] : meet2(X0,join(X1,X0)) = X0,
inference(paramodulation,[status(thm)],[f20,f25]) ).
fof(f229,plain,
! [X0,X1] : meet(X0,join(X1,X0)) = X0,
inference(paramodulation,[status(thm)],[f20,f17]) ).
fof(f238,plain,
! [X0,X1,X2] : meet2(X0,meet2(X1,join(X2,meet2(X0,X1)))) = meet2(X0,X1),
inference(paramodulation,[status(thm)],[f27,f228]) ).
fof(f246,plain,
! [X0,X1] : meet2(meet(X0,X1),X1) = meet(X0,X1),
inference(paramodulation,[status(thm)],[f33,f228]) ).
fof(f247,plain,
! [X0,X1] : meet2(X0,meet(X1,X0)) = meet(X1,X0),
inference(forward_demodulation,[status(thm)],[f24,f246]) ).
fof(f248,plain,
! [X0,X1] : meet2(meet(X0,X1),X0) = meet(X0,X1),
inference(paramodulation,[status(thm)],[f18,f228]) ).
fof(f249,plain,
! [X0,X1] : meet2(X0,meet(X0,X1)) = meet(X0,X1),
inference(forward_demodulation,[status(thm)],[f24,f248]) ).
fof(f262,plain,
! [X0,X1] : meet(meet2(X0,X1),X1) = meet2(X0,X1),
inference(paramodulation,[status(thm)],[f36,f229]) ).
fof(f263,plain,
! [X0,X1] : meet(X0,meet2(X1,X0)) = meet2(X1,X0),
inference(forward_demodulation,[status(thm)],[f19,f262]) ).
fof(f264,plain,
! [X0,X1] : meet(meet2(X0,X1),X0) = meet2(X0,X1),
inference(paramodulation,[status(thm)],[f26,f229]) ).
fof(f265,plain,
! [X0,X1] : meet(X0,meet2(X0,X1)) = meet2(X0,X1),
inference(forward_demodulation,[status(thm)],[f19,f264]) ).
fof(f1847,plain,
! [X0,X1,X2] : meet2(X0,meet(X1,X2)) = meet2(X2,meet2(X0,meet(X1,X2))),
inference(paramodulation,[status(thm)],[f247,f154]) ).
fof(f2118,plain,
! [X0,X1,X2] : join(meet(X0,X1),meet(X0,meet2(X1,X2))) = meet(X0,X1),
inference(paramodulation,[status(thm)],[f265,f107]) ).
fof(f97381,plain,
! [X0,X1] : join(meet(X0,X1),meet2(X1,X0)) = meet(X0,X1),
inference(paramodulation,[status(thm)],[f263,f2118]) ).
fof(f98389,plain,
! [X0,X1] : meet2(X0,meet2(X1,meet(X1,X0))) = meet2(X0,X1),
inference(paramodulation,[status(thm)],[f97381,f238]) ).
fof(f98390,plain,
! [X0,X1] : meet2(X0,meet(X0,X1)) = meet2(X1,X0),
inference(forward_demodulation,[status(thm)],[f1847,f98389]) ).
fof(f98391,plain,
! [X0,X1] : meet(X0,X1) = meet2(X1,X0),
inference(forward_demodulation,[status(thm)],[f249,f98390]) ).
fof(f98947,plain,
meet(a,b) != meet(b,a),
inference(backward_demodulation,[status(thm)],[f98391,f28]) ).
fof(f98948,plain,
meet(a,b) != meet(a,b),
inference(forward_demodulation,[status(thm)],[f19,f98947]) ).
fof(f98949,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f98948]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : LAT011-1 : TPTP v8.1.2. Released v2.2.0.
% 0.02/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.30 % Computer : n016.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Tue May 30 09:52:44 EDT 2023
% 0.10/0.30 % CPUTime :
% 0.10/0.31 % Drodi V3.5.1
% 80.75/10.54 % Refutation found
% 80.75/10.54 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 80.75/10.54 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 82.21/10.73 % Elapsed time: 10.404697 seconds
% 82.21/10.73 % CPU time: 81.800429 seconds
% 82.21/10.73 % Memory used: 436.757 MB
%------------------------------------------------------------------------------