TSTP Solution File: FLD060-3 by Drodi---3.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : FLD060-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n017.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 3.98s 0.82s
% Output : CNFRefutation 3.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of formulae : 33 ( 16 unt; 0 def)
% Number of atoms : 63 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 62 ( 32 ~; 30 |; 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 : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 44 (; 44 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [Y,X,Z] :
( sum(Y,X,Z)
| ~ sum(X,Y,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,axiom,
! [X,Y] :
( sum(X,Y,add(X,Y))
| ~ defined(X)
| ~ defined(Y) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p') ).
fof(f27,hypothesis,
defined(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f28,hypothesis,
defined(b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f29,negated_conjecture,
less_or_equal(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f30,negated_conjecture,
~ less_or_equal(add(a,a),add(b,b)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f37,plain,
! [X0,X1,X2] :
( sum(X0,X1,X2)
| ~ sum(X1,X0,X2) ),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f57,plain,
! [Y] :
( ! [X] :
( sum(X,Y,add(X,Y))
| ~ defined(X) )
| ~ defined(Y) ),
inference(miniscoping,[status(esa)],[f19]) ).
fof(f58,plain,
! [X0,X1] :
( sum(X0,X1,add(X0,X1))
| ~ defined(X0)
| ~ defined(X1) ),
inference(cnf_transformation,[status(esa)],[f57]) ).
fof(f62,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(f63,plain,
! [X0,X1,X2] :
( less_or_equal(X0,X1)
| ~ less_or_equal(X0,X2)
| ~ less_or_equal(X2,X1) ),
inference(cnf_transformation,[status(esa)],[f62]) ).
fof(f66,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(f67,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)],[f66]) ).
fof(f70,plain,
defined(a),
inference(cnf_transformation,[status(esa)],[f27]) ).
fof(f71,plain,
defined(b),
inference(cnf_transformation,[status(esa)],[f28]) ).
fof(f72,plain,
less_or_equal(a,b),
inference(cnf_transformation,[status(esa)],[f29]) ).
fof(f73,plain,
~ less_or_equal(add(a,a),add(b,b)),
inference(cnf_transformation,[status(esa)],[f30]) ).
fof(f76,plain,
! [X0] :
( sum(b,X0,add(b,X0))
| ~ defined(X0) ),
inference(resolution,[status(thm)],[f58,f71]) ).
fof(f77,plain,
! [X0] :
( sum(a,X0,add(a,X0))
| ~ defined(X0) ),
inference(resolution,[status(thm)],[f58,f70]) ).
fof(f115,plain,
! [X0,X1,X2] :
( less_or_equal(X0,X1)
| ~ sum(a,X2,X0)
| ~ sum(b,X2,X1) ),
inference(resolution,[status(thm)],[f67,f72]) ).
fof(f270,plain,
sum(b,b,add(b,b)),
inference(resolution,[status(thm)],[f76,f71]) ).
fof(f271,plain,
sum(b,a,add(b,a)),
inference(resolution,[status(thm)],[f76,f70]) ).
fof(f431,plain,
sum(a,a,add(a,a)),
inference(resolution,[status(thm)],[f77,f70]) ).
fof(f2976,plain,
sum(a,b,add(b,a)),
inference(resolution,[status(thm)],[f271,f37]) ).
fof(f3439,plain,
! [X0] :
( less_or_equal(add(a,a),X0)
| ~ sum(b,a,X0) ),
inference(resolution,[status(thm)],[f431,f115]) ).
fof(f4717,plain,
less_or_equal(add(a,a),add(b,a)),
inference(resolution,[status(thm)],[f3439,f271]) ).
fof(f4719,plain,
! [X0] :
( less_or_equal(add(a,a),X0)
| ~ less_or_equal(add(b,a),X0) ),
inference(resolution,[status(thm)],[f4717,f63]) ).
fof(f6811,plain,
! [X0] :
( less_or_equal(add(b,a),X0)
| ~ sum(b,b,X0) ),
inference(resolution,[status(thm)],[f2976,f115]) ).
fof(f8094,plain,
less_or_equal(add(b,a),add(b,b)),
inference(resolution,[status(thm)],[f6811,f270]) ).
fof(f8095,plain,
less_or_equal(add(a,a),add(b,b)),
inference(resolution,[status(thm)],[f8094,f4719]) ).
fof(f8096,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f8095,f73]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : FLD060-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.07 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.07/0.26 % Computer : n017.cluster.edu
% 0.07/0.26 % Model : x86_64 x86_64
% 0.07/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26 % Memory : 8042.1875MB
% 0.07/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26 % CPULimit : 300
% 0.07/0.26 % WCLimit : 300
% 0.07/0.26 % DateTime : Tue May 30 10:27:10 EDT 2023
% 0.07/0.26 % CPUTime :
% 0.07/0.27 % Drodi V3.5.1
% 3.98/0.82 % Refutation found
% 3.98/0.82 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 3.98/0.82 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 3.98/0.84 % Elapsed time: 0.578265 seconds
% 3.98/0.84 % CPU time: 4.452950 seconds
% 3.98/0.84 % Memory used: 35.969 MB
%------------------------------------------------------------------------------