TSTP Solution File: FLD060-4 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : FLD060-4 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n004.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 12:07:06 EDT 2023
% Result : Unsatisfiable 17.84s 2.63s
% Output : CNFRefutation 17.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 10
% Syntax : Number of formulae : 34 ( 15 unt; 0 def)
% Number of atoms : 71 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 80 ( 43 ~; 37 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 55 (; 55 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [Y,X,Z] :
( sum(Y,X,Z)
| ~ sum(X,Y,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,axiom,
! [X,Y] :
( sum(X,Y,add(X,Y))
| ~ defined(X)
| ~ defined(Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,axiom,
! [X,Z,Y] :
( less_or_equal(X,Z)
| ~ less_or_equal(X,Y)
| ~ less_or_equal(Y,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f24,axiom,
! [U,V,X,Y,Z] :
( less_or_equal(U,V)
| ~ less_or_equal(X,Y)
| ~ sum(X,Z,U)
| ~ sum(Y,Z,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f27,hypothesis,
defined(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f28,hypothesis,
defined(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f31,negated_conjecture,
less_or_equal(a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f32,negated_conjecture,
sum(a,a,u),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f33,negated_conjecture,
sum(b,b,v),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f34,negated_conjecture,
~ less_or_equal(u,v),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f41,plain,
! [X0,X1,X2] :
( sum(X0,X1,X2)
| ~ sum(X1,X0,X2) ),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f61,plain,
! [Y] :
( ! [X] :
( sum(X,Y,add(X,Y))
| ~ defined(X) )
| ~ defined(Y) ),
inference(miniscoping,[status(esa)],[f19]) ).
fof(f62,plain,
! [X0,X1] :
( sum(X0,X1,add(X0,X1))
| ~ defined(X0)
| ~ defined(X1) ),
inference(cnf_transformation,[status(esa)],[f61]) ).
fof(f66,plain,
! [Z,Y] :
( ! [X] :
( less_or_equal(X,Z)
| ~ less_or_equal(X,Y) )
| ~ less_or_equal(Y,Z) ),
inference(miniscoping,[status(esa)],[f22]) ).
fof(f67,plain,
! [X0,X1,X2] :
( less_or_equal(X0,X1)
| ~ less_or_equal(X0,X2)
| ~ less_or_equal(X2,X1) ),
inference(cnf_transformation,[status(esa)],[f66]) ).
fof(f70,plain,
! [V,Y,Z] :
( ! [U,X] :
( less_or_equal(U,V)
| ~ less_or_equal(X,Y)
| ~ sum(X,Z,U) )
| ~ sum(Y,Z,V) ),
inference(miniscoping,[status(esa)],[f24]) ).
fof(f71,plain,
! [X0,X1,X2,X3,X4] :
( less_or_equal(X0,X1)
| ~ less_or_equal(X2,X3)
| ~ sum(X2,X4,X0)
| ~ sum(X3,X4,X1) ),
inference(cnf_transformation,[status(esa)],[f70]) ).
fof(f74,plain,
defined(a),
inference(cnf_transformation,[status(esa)],[f27]) ).
fof(f75,plain,
defined(b),
inference(cnf_transformation,[status(esa)],[f28]) ).
fof(f78,plain,
less_or_equal(a,b),
inference(cnf_transformation,[status(esa)],[f31]) ).
fof(f79,plain,
sum(a,a,u),
inference(cnf_transformation,[status(esa)],[f32]) ).
fof(f80,plain,
sum(b,b,v),
inference(cnf_transformation,[status(esa)],[f33]) ).
fof(f81,plain,
~ less_or_equal(u,v),
inference(cnf_transformation,[status(esa)],[f34]) ).
fof(f107,plain,
! [X0,X1,X2] :
( less_or_equal(X0,X1)
| ~ sum(a,X2,X0)
| ~ sum(b,X2,X1) ),
inference(resolution,[status(thm)],[f71,f78]) ).
fof(f110,plain,
! [X0] :
( less_or_equal(X0,v)
| ~ sum(a,b,X0) ),
inference(resolution,[status(thm)],[f107,f80]) ).
fof(f135,plain,
! [X0,X1,X2] :
( ~ sum(X0,b,X1)
| less_or_equal(X2,X1)
| ~ sum(a,X0,X2) ),
inference(resolution,[status(thm)],[f41,f107]) ).
fof(f144,plain,
! [X0,X1,X2] :
( ~ sum(X0,b,X1)
| less_or_equal(X2,X1)
| ~ sum(X0,a,X2) ),
inference(resolution,[status(thm)],[f135,f41]) ).
fof(f176,plain,
! [X0,X1,X2,X3] :
( ~ sum(X0,b,X1)
| ~ sum(X0,a,X2)
| less_or_equal(X2,X3)
| ~ less_or_equal(X1,X3) ),
inference(resolution,[status(thm)],[f144,f67]) ).
fof(f1259,plain,
! [X0,X1] :
( ~ sum(X0,b,X1)
| ~ sum(X0,a,u)
| ~ less_or_equal(X1,v) ),
inference(resolution,[status(thm)],[f176,f81]) ).
fof(f1266,plain,
! [X0] :
( ~ sum(a,b,X0)
| ~ less_or_equal(X0,v) ),
inference(resolution,[status(thm)],[f1259,f79]) ).
fof(f1267,plain,
! [X0] : ~ sum(a,b,X0),
inference(forward_subsumption_resolution,[status(thm)],[f1266,f110]) ).
fof(f2381,plain,
! [X0] :
( sum(X0,b,add(X0,b))
| ~ defined(X0) ),
inference(resolution,[status(thm)],[f62,f75]) ).
fof(f7103,plain,
~ defined(a),
inference(resolution,[status(thm)],[f2381,f1267]) ).
fof(f7104,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f7103,f74]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : FLD060-4 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.09/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.34 % Computer : n004.cluster.edu
% 0.10/0.34 % Model : x86_64 x86_64
% 0.10/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.34 % Memory : 8042.1875MB
% 0.10/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.34 % CPULimit : 300
% 0.10/0.34 % WCLimit : 300
% 0.10/0.34 % DateTime : Tue May 30 10:56:22 EDT 2023
% 0.10/0.34 % CPUTime :
% 0.10/0.34 % Drodi V3.5.1
% 17.84/2.63 % Refutation found
% 17.84/2.63 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 17.84/2.63 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 17.84/2.66 % Elapsed time: 2.313971 seconds
% 17.84/2.66 % CPU time: 18.058458 seconds
% 17.84/2.66 % Memory used: 65.686 MB
%------------------------------------------------------------------------------