TSTP Solution File: LAT005-6 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : LAT005-6 : TPTP v8.1.2. Released v1.1.0.
% 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 20:25:10 EDT 2024
% Result : Unsatisfiable 87.76s 11.40s
% Output : CNFRefutation 88.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 21
% Syntax : Number of formulae : 91 ( 49 unt; 0 def)
% Number of atoms : 163 ( 12 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 146 ( 74 ~; 72 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 11 con; 0-2 aty)
% Number of variables : 151 ( 151 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7,axiom,
! [X,Y,Z] :
( ~ meet(X,Y,Z)
| meet(Y,X,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [X,Y,Z] :
( ~ join(X,Y,Z)
| join(Y,X,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [X,Y,Z] :
( ~ meet(X,Y,Z)
| join(X,Z,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [X,Y,Z] :
( ~ join(X,Y,Z)
| meet(X,Z,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [X,Y,Xy,Z,Yz,Xyz] :
( ~ meet(X,Y,Xy)
| ~ meet(Y,Z,Yz)
| ~ meet(X,Yz,Xyz)
| meet(Xy,Z,Xyz) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,axiom,
! [X,Z,Y,X1,Y1,Z1] :
( ~ meet(X,Z,X)
| ~ join(X,Y,X1)
| ~ meet(Y,Z,Y1)
| ~ join(X,Y1,Z1)
| meet(Z,X1,Z1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,axiom,
! [X,Y] : meet(X,Y,meet_of(X,Y)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,axiom,
! [X,Y,Z1,Z2] :
( ~ meet(X,Y,Z1)
| ~ meet(X,Y,Z2)
| Z1 = Z2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,axiom,
! [X,Y] : join(X,Y,join_of(X,Y)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,axiom,
! [X,Y,Z1,Z2] :
( ~ join(X,Y,Z1)
| ~ join(X,Y,Z2)
| Z1 = Z2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,axiom,
! [X] : join(X,n0,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f23,axiom,
! [X] : meet(X,n0,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f27,negated_conjecture,
meet(a,b,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f29,negated_conjecture,
meet(c,r2,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f30,negated_conjecture,
meet(r2,b,e),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f31,negated_conjecture,
join(a,b,c2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f33,negated_conjecture,
meet(c2,r1,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f34,negated_conjecture,
meet(r2,a,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f35,negated_conjecture,
join(r1,e,a2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f36,negated_conjecture,
join(r1,d,b2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f37,negated_conjecture,
~ meet(a2,b2,r1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f44,plain,
! [X0,X1,X2] :
( ~ meet(X0,X1,X2)
| meet(X1,X0,X2) ),
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f45,plain,
! [X0,X1,X2] :
( ~ join(X0,X1,X2)
| join(X1,X0,X2) ),
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f46,plain,
! [X,Z] :
( ! [Y] : ~ meet(X,Y,Z)
| join(X,Z,X) ),
inference(miniscoping,[status(esa)],[f9]) ).
fof(f47,plain,
! [X0,X1,X2] :
( ~ meet(X0,X1,X2)
| join(X0,X2,X0) ),
inference(cnf_transformation,[status(esa)],[f46]) ).
fof(f48,plain,
! [X,Z] :
( ! [Y] : ~ join(X,Y,Z)
| meet(X,Z,X) ),
inference(miniscoping,[status(esa)],[f10]) ).
fof(f49,plain,
! [X0,X1,X2] :
( ~ join(X0,X1,X2)
| meet(X0,X2,X0) ),
inference(cnf_transformation,[status(esa)],[f48]) ).
fof(f50,plain,
! [Xy,Z,Xyz] :
( ! [X,Yz] :
( ! [Y] :
( ~ meet(X,Y,Xy)
| ~ meet(Y,Z,Yz) )
| ~ meet(X,Yz,Xyz) )
| meet(Xy,Z,Xyz) ),
inference(miniscoping,[status(esa)],[f11]) ).
fof(f51,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ meet(X0,X1,X2)
| ~ meet(X1,X3,X4)
| ~ meet(X0,X4,X5)
| meet(X2,X3,X5) ),
inference(cnf_transformation,[status(esa)],[f50]) ).
fof(f60,plain,
! [Z,X1,Z1] :
( ! [X,Y1] :
( ! [Y] :
( ~ meet(X,Z,X)
| ~ join(X,Y,X1)
| ~ meet(Y,Z,Y1) )
| ~ join(X,Y1,Z1) )
| meet(Z,X1,Z1) ),
inference(miniscoping,[status(esa)],[f16]) ).
fof(f61,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ meet(X0,X1,X0)
| ~ join(X0,X2,X3)
| ~ meet(X2,X1,X4)
| ~ join(X0,X4,X5)
| meet(X1,X3,X5) ),
inference(cnf_transformation,[status(esa)],[f60]) ).
fof(f62,plain,
! [X0,X1] : meet(X0,X1,meet_of(X0,X1)),
inference(cnf_transformation,[status(esa)],[f17]) ).
fof(f63,plain,
! [Z1,Z2] :
( ! [X,Y] :
( ~ meet(X,Y,Z1)
| ~ meet(X,Y,Z2) )
| Z1 = Z2 ),
inference(miniscoping,[status(esa)],[f18]) ).
fof(f64,plain,
! [X0,X1,X2,X3] :
( ~ meet(X0,X1,X2)
| ~ meet(X0,X1,X3)
| X2 = X3 ),
inference(cnf_transformation,[status(esa)],[f63]) ).
fof(f65,plain,
! [X0,X1] : join(X0,X1,join_of(X0,X1)),
inference(cnf_transformation,[status(esa)],[f19]) ).
fof(f66,plain,
! [Z1,Z2] :
( ! [X,Y] :
( ~ join(X,Y,Z1)
| ~ join(X,Y,Z2) )
| Z1 = Z2 ),
inference(miniscoping,[status(esa)],[f20]) ).
fof(f67,plain,
! [X0,X1,X2,X3] :
( ~ join(X0,X1,X2)
| ~ join(X0,X1,X3)
| X2 = X3 ),
inference(cnf_transformation,[status(esa)],[f66]) ).
fof(f69,plain,
! [X0] : join(X0,n0,X0),
inference(cnf_transformation,[status(esa)],[f22]) ).
fof(f70,plain,
! [X0] : meet(X0,n0,n0),
inference(cnf_transformation,[status(esa)],[f23]) ).
fof(f76,plain,
meet(a,b,c),
inference(cnf_transformation,[status(esa)],[f27]) ).
fof(f78,plain,
meet(c,r2,n0),
inference(cnf_transformation,[status(esa)],[f29]) ).
fof(f79,plain,
meet(r2,b,e),
inference(cnf_transformation,[status(esa)],[f30]) ).
fof(f80,plain,
join(a,b,c2),
inference(cnf_transformation,[status(esa)],[f31]) ).
fof(f82,plain,
meet(c2,r1,n0),
inference(cnf_transformation,[status(esa)],[f33]) ).
fof(f83,plain,
meet(r2,a,d),
inference(cnf_transformation,[status(esa)],[f34]) ).
fof(f84,plain,
join(r1,e,a2),
inference(cnf_transformation,[status(esa)],[f35]) ).
fof(f85,plain,
join(r1,d,b2),
inference(cnf_transformation,[status(esa)],[f36]) ).
fof(f86,plain,
~ meet(a2,b2,r1),
inference(cnf_transformation,[status(esa)],[f37]) ).
fof(f92,plain,
meet(r2,c,n0),
inference(resolution,[status(thm)],[f44,f78]) ).
fof(f93,plain,
meet(b,a,c),
inference(resolution,[status(thm)],[f44,f76]) ).
fof(f96,plain,
! [X0,X1] : meet(X0,X1,meet_of(X1,X0)),
inference(resolution,[status(thm)],[f44,f62]) ).
fof(f107,plain,
join(e,r1,a2),
inference(resolution,[status(thm)],[f45,f84]) ).
fof(f109,plain,
join(b,a,c2),
inference(resolution,[status(thm)],[f45,f80]) ).
fof(f113,plain,
! [X0,X1] : join(X0,X1,join_of(X1,X0)),
inference(resolution,[status(thm)],[f45,f65]) ).
fof(f139,plain,
meet(r1,a2,r1),
inference(resolution,[status(thm)],[f49,f84]) ).
fof(f141,plain,
meet(a,c2,a),
inference(resolution,[status(thm)],[f49,f80]) ).
fof(f145,plain,
! [X0,X1] : meet(X0,join_of(X0,X1),X0),
inference(resolution,[status(thm)],[f49,f65]) ).
fof(f154,plain,
! [X0,X1,X2] :
( ~ meet(a,X0,X1)
| ~ meet(r2,X1,X2)
| meet(d,X0,X2) ),
inference(resolution,[status(thm)],[f51,f83]) ).
fof(f155,plain,
! [X0,X1,X2] :
( ~ meet(b,X0,X1)
| ~ meet(r2,X1,X2)
| meet(e,X0,X2) ),
inference(resolution,[status(thm)],[f51,f79]) ).
fof(f166,plain,
meet(b,c2,b),
inference(resolution,[status(thm)],[f109,f49]) ).
fof(f194,plain,
! [X0,X1,X2] :
( ~ meet(c2,X0,X1)
| ~ meet(a,X1,X2)
| meet(a,X0,X2) ),
inference(resolution,[status(thm)],[f141,f51]) ).
fof(f352,plain,
! [X0,X1,X2,X3] :
( ~ join(r1,X0,X1)
| ~ meet(X0,a2,X2)
| ~ join(r1,X2,X3)
| meet(a2,X1,X3) ),
inference(resolution,[status(thm)],[f61,f139]) ).
fof(f455,plain,
! [X0] :
( ~ meet(c2,r1,X0)
| n0 = X0 ),
inference(resolution,[status(thm)],[f64,f82]) ).
fof(f472,plain,
! [X0,X1,X2] :
( ~ meet(X0,X1,X2)
| meet_of(X0,X1) = X2 ),
inference(resolution,[status(thm)],[f64,f62]) ).
fof(f643,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ join(X0,X1,X2)
| ~ meet(X1,join_of(X0,X3),X4)
| ~ join(X0,X4,X5)
| meet(join_of(X0,X3),X2,X5) ),
inference(resolution,[status(thm)],[f145,f61]) ).
fof(f653,plain,
n0 = meet_of(r1,c2),
inference(resolution,[status(thm)],[f455,f96]) ).
fof(f749,plain,
! [X0] :
( ~ meet(r2,b,X0)
| meet(e,c2,X0) ),
inference(resolution,[status(thm)],[f155,f166]) ).
fof(f750,plain,
! [X0] :
( ~ meet(r2,c,X0)
| meet(e,a,X0) ),
inference(resolution,[status(thm)],[f155,f93]) ).
fof(f1621,plain,
meet(e,c2,e),
inference(resolution,[status(thm)],[f749,f79]) ).
fof(f1648,plain,
meet(c2,e,e),
inference(resolution,[status(thm)],[f1621,f44]) ).
fof(f1658,plain,
join(c2,e,c2),
inference(resolution,[status(thm)],[f1648,f47]) ).
fof(f1662,plain,
! [X0] :
( ~ join(c2,e,X0)
| c2 = X0 ),
inference(resolution,[status(thm)],[f1658,f67]) ).
fof(f1678,plain,
c2 = join_of(e,c2),
inference(resolution,[status(thm)],[f1662,f113]) ).
fof(f1682,plain,
meet(e,a,n0),
inference(resolution,[status(thm)],[f750,f92]) ).
fof(f1697,plain,
meet(a,e,n0),
inference(resolution,[status(thm)],[f1682,f44]) ).
fof(f2681,plain,
! [X0,X1] : meet_of(X0,X1) = meet_of(X1,X0),
inference(resolution,[status(thm)],[f472,f96]) ).
fof(f4178,plain,
! [X0,X1] :
( ~ meet(d,a2,X0)
| ~ join(r1,X0,X1)
| meet(a2,b2,X1) ),
inference(resolution,[status(thm)],[f352,f85]) ).
fof(f5161,plain,
! [X0,X1,X2] :
( ~ meet(r1,join_of(e,X0),X1)
| ~ join(e,X1,X2)
| meet(join_of(e,X0),a2,X2) ),
inference(resolution,[status(thm)],[f643,f107]) ).
fof(f49200,plain,
! [X0,X1] :
( ~ join(e,meet_of(join_of(e,X0),r1),X1)
| meet(join_of(e,X0),a2,X1) ),
inference(resolution,[status(thm)],[f5161,f96]) ).
fof(f49201,plain,
! [X0,X1] :
( ~ join(e,meet_of(r1,join_of(e,X0)),X1)
| meet(join_of(e,X0),a2,X1) ),
inference(forward_demodulation,[status(thm)],[f2681,f49200]) ).
fof(f55316,plain,
! [X0] :
( ~ join(e,meet_of(r1,c2),X0)
| meet(join_of(e,c2),a2,X0) ),
inference(paramodulation,[status(thm)],[f1678,f49201]) ).
fof(f55317,plain,
! [X0] :
( ~ join(e,n0,X0)
| meet(join_of(e,c2),a2,X0) ),
inference(forward_demodulation,[status(thm)],[f653,f55316]) ).
fof(f55318,plain,
! [X0] :
( ~ join(e,n0,X0)
| meet(c2,a2,X0) ),
inference(forward_demodulation,[status(thm)],[f1678,f55317]) ).
fof(f55353,plain,
meet(c2,a2,e),
inference(resolution,[status(thm)],[f55318,f69]) ).
fof(f55364,plain,
! [X0] :
( ~ meet(a,e,X0)
| meet(a,a2,X0) ),
inference(resolution,[status(thm)],[f55353,f194]) ).
fof(f55999,plain,
meet(a,a2,n0),
inference(resolution,[status(thm)],[f55364,f1697]) ).
fof(f56013,plain,
! [X0] :
( ~ meet(r2,n0,X0)
| meet(d,a2,X0) ),
inference(resolution,[status(thm)],[f55999,f154]) ).
fof(f59214,plain,
meet(d,a2,n0),
inference(resolution,[status(thm)],[f56013,f70]) ).
fof(f59220,plain,
! [X0] :
( ~ join(r1,n0,X0)
| meet(a2,b2,X0) ),
inference(resolution,[status(thm)],[f59214,f4178]) ).
fof(f62285,plain,
meet(a2,b2,r1),
inference(resolution,[status(thm)],[f59220,f69]) ).
fof(f62286,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f62285,f86]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : LAT005-6 : TPTP v8.1.2. Released v1.1.0.
% 0.03/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31 % Computer : n011.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 : Mon Apr 29 20:04:31 EDT 2024
% 0.15/0.31 % CPUTime :
% 0.15/0.32 % Drodi V3.6.0
% 87.76/11.40 % Refutation found
% 87.76/11.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 87.76/11.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 88.68/11.52 % Elapsed time: 11.191812 seconds
% 88.68/11.52 % CPU time: 88.550685 seconds
% 88.68/11.52 % Total memory used: 518.984 MB
% 88.68/11.52 % Net memory used: 487.122 MB
%------------------------------------------------------------------------------