TSTP Solution File: LAT005-1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : LAT005-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n025.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 16.47s 2.42s
% Output : CNFRefutation 16.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 16
% Syntax : Number of formulae : 68 ( 41 unt; 0 def)
% Number of atoms : 119 ( 0 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 104 ( 53 ~; 51 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 11 con; 0-0 aty)
% Number of variables : 91 ( 91 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X] : join(n0,X,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X] : meet(n0,X,n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [X,Y,Z] :
( ~ meet(X,Y,Z)
| meet(Y,X,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [X,Y,Z] :
( ~ join(X,Y,Z)
| join(Y,X,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [X,Y,Z] :
( ~ join(X,Y,Z)
| meet(X,Z,X) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,negated_conjecture,
meet(a,b,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f21,negated_conjecture,
meet(c,r2,n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,negated_conjecture,
meet(r2,b,e),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f23,negated_conjecture,
join(a,b,c2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f25,negated_conjecture,
meet(c2,r1,n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f26,negated_conjecture,
meet(r2,a,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f27,negated_conjecture,
join(r1,e,a2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f28,negated_conjecture,
join(r1,d,b2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f29,negated_conjecture,
~ meet(a2,b2,r1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f32,plain,
! [X0] : join(n0,X0,X0),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f33,plain,
! [X0] : meet(n0,X0,n0),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f36,plain,
! [X0,X1,X2] :
( ~ meet(X0,X1,X2)
| meet(X1,X0,X2) ),
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f37,plain,
! [X0,X1,X2] :
( ~ join(X0,X1,X2)
| join(X1,X0,X2) ),
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f40,plain,
! [X,Z] :
( ! [Y] : ~ join(X,Y,Z)
| meet(X,Z,X) ),
inference(miniscoping,[status(esa)],[f10]) ).
fof(f41,plain,
! [X0,X1,X2] :
( ~ join(X0,X1,X2)
| meet(X0,X2,X0) ),
inference(cnf_transformation,[status(esa)],[f40]) ).
fof(f42,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(f43,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)],[f42]) ).
fof(f52,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(f53,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)],[f52]) ).
fof(f58,plain,
meet(a,b,c),
inference(cnf_transformation,[status(esa)],[f19]) ).
fof(f60,plain,
meet(c,r2,n0),
inference(cnf_transformation,[status(esa)],[f21]) ).
fof(f61,plain,
meet(r2,b,e),
inference(cnf_transformation,[status(esa)],[f22]) ).
fof(f62,plain,
join(a,b,c2),
inference(cnf_transformation,[status(esa)],[f23]) ).
fof(f64,plain,
meet(c2,r1,n0),
inference(cnf_transformation,[status(esa)],[f25]) ).
fof(f65,plain,
meet(r2,a,d),
inference(cnf_transformation,[status(esa)],[f26]) ).
fof(f66,plain,
join(r1,e,a2),
inference(cnf_transformation,[status(esa)],[f27]) ).
fof(f67,plain,
join(r1,d,b2),
inference(cnf_transformation,[status(esa)],[f28]) ).
fof(f68,plain,
~ meet(a2,b2,r1),
inference(cnf_transformation,[status(esa)],[f29]) ).
fof(f69,plain,
meet(r1,c2,n0),
inference(resolution,[status(thm)],[f36,f64]) ).
fof(f70,plain,
! [X0] : meet(X0,n0,n0),
inference(resolution,[status(thm)],[f36,f33]) ).
fof(f74,plain,
meet(r2,c,n0),
inference(resolution,[status(thm)],[f36,f60]) ).
fof(f77,plain,
join(d,r1,b2),
inference(resolution,[status(thm)],[f37,f67]) ).
fof(f80,plain,
! [X0] : join(X0,n0,X0),
inference(resolution,[status(thm)],[f37,f32]) ).
fof(f82,plain,
join(b,a,c2),
inference(resolution,[status(thm)],[f37,f62]) ).
fof(f115,plain,
meet(b,c2,b),
inference(resolution,[status(thm)],[f41,f82]) ).
fof(f119,plain,
meet(r1,b2,r1),
inference(resolution,[status(thm)],[f41,f67]) ).
fof(f124,plain,
meet(a,c2,a),
inference(resolution,[status(thm)],[f41,f62]) ).
fof(f136,plain,
! [X0,X1,X2] :
( ~ meet(a,X0,X1)
| ~ meet(r2,X1,X2)
| meet(d,X0,X2) ),
inference(resolution,[status(thm)],[f43,f65]) ).
fof(f137,plain,
! [X0,X1,X2] :
( ~ meet(b,X0,X1)
| ~ meet(r2,X1,X2)
| meet(e,X0,X2) ),
inference(resolution,[status(thm)],[f43,f61]) ).
fof(f188,plain,
! [X0] :
( ~ meet(r2,a,X0)
| meet(d,c2,X0) ),
inference(resolution,[status(thm)],[f136,f124]) ).
fof(f190,plain,
! [X0] :
( ~ meet(r2,c,X0)
| meet(d,b,X0) ),
inference(resolution,[status(thm)],[f136,f58]) ).
fof(f236,plain,
! [X0] :
( ~ meet(r2,b,X0)
| meet(e,c2,X0) ),
inference(resolution,[status(thm)],[f137,f115]) ).
fof(f393,plain,
meet(d,c2,d),
inference(resolution,[status(thm)],[f188,f65]) ).
fof(f408,plain,
meet(d,b,n0),
inference(resolution,[status(thm)],[f190,f74]) ).
fof(f412,plain,
meet(b,d,n0),
inference(resolution,[status(thm)],[f408,f36]) ).
fof(f414,plain,
! [X0] :
( ~ meet(r2,n0,X0)
| meet(e,d,X0) ),
inference(resolution,[status(thm)],[f412,f137]) ).
fof(f478,plain,
! [X0,X1,X2,X3] :
( ~ join(d,X0,X1)
| ~ meet(X0,c2,X2)
| ~ join(d,X2,X3)
| meet(c2,X1,X3) ),
inference(resolution,[status(thm)],[f53,f393]) ).
fof(f487,plain,
! [X0,X1,X2,X3] :
( ~ join(r1,X0,X1)
| ~ meet(X0,b2,X2)
| ~ join(r1,X2,X3)
| meet(b2,X1,X3) ),
inference(resolution,[status(thm)],[f53,f119]) ).
fof(f499,plain,
meet(e,c2,e),
inference(resolution,[status(thm)],[f236,f61]) ).
fof(f503,plain,
! [X0,X1,X2] :
( ~ meet(c2,X0,X1)
| ~ meet(e,X1,X2)
| meet(e,X0,X2) ),
inference(resolution,[status(thm)],[f499,f43]) ).
fof(f689,plain,
meet(e,d,n0),
inference(resolution,[status(thm)],[f414,f70]) ).
fof(f2210,plain,
! [X0,X1] :
( ~ meet(e,b2,X0)
| ~ join(r1,X0,X1)
| meet(b2,a2,X1) ),
inference(resolution,[status(thm)],[f487,f66]) ).
fof(f5946,plain,
! [X0,X1] :
( ~ meet(r1,c2,X0)
| ~ join(d,X0,X1)
| meet(c2,b2,X1) ),
inference(resolution,[status(thm)],[f478,f77]) ).
fof(f7175,plain,
! [X0] :
( ~ join(d,n0,X0)
| meet(c2,b2,X0) ),
inference(resolution,[status(thm)],[f5946,f69]) ).
fof(f7179,plain,
meet(c2,b2,d),
inference(resolution,[status(thm)],[f7175,f80]) ).
fof(f7191,plain,
! [X0] :
( ~ meet(e,d,X0)
| meet(e,b2,X0) ),
inference(resolution,[status(thm)],[f7179,f503]) ).
fof(f7298,plain,
meet(e,b2,n0),
inference(resolution,[status(thm)],[f7191,f689]) ).
fof(f7299,plain,
! [X0] :
( ~ join(r1,n0,X0)
| meet(b2,a2,X0) ),
inference(resolution,[status(thm)],[f7298,f2210]) ).
fof(f7501,plain,
meet(b2,a2,r1),
inference(resolution,[status(thm)],[f7299,f80]) ).
fof(f7523,plain,
meet(a2,b2,r1),
inference(resolution,[status(thm)],[f7501,f36]) ).
fof(f7524,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f7523,f68]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10 % Problem : LAT005-1 : TPTP v8.1.2. Released v1.0.0.
% 0.03/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31 % Computer : n025.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 20:16:56 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.15/0.32 % Drodi V3.6.0
% 16.47/2.42 % Refutation found
% 16.47/2.42 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 16.47/2.42 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 16.47/2.46 % Elapsed time: 2.137087 seconds
% 16.47/2.46 % CPU time: 16.799056 seconds
% 16.47/2.46 % Total memory used: 132.916 MB
% 16.47/2.46 % Net memory used: 117.411 MB
%------------------------------------------------------------------------------