TSTP Solution File: FLD061-3 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : FLD061-3 : 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 : Tue Apr 30 20:16:33 EDT 2024
% Result : Unsatisfiable 152.78s 19.59s
% Output : CNFRefutation 153.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 11
% Syntax : Number of formulae : 44 ( 20 unt; 0 def)
% Number of atoms : 90 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 102 ( 56 ~; 46 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 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 : 61 ( 61 !; 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,hypothesis,
defined(c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f30,hypothesis,
defined(d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f31,negated_conjecture,
less_or_equal(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f32,negated_conjecture,
less_or_equal(c,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f33,negated_conjecture,
~ less_or_equal(add(a,c),add(d,b)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f40,plain,
! [X0,X1,X2] :
( sum(X0,X1,X2)
| ~ sum(X1,X0,X2) ),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f60,plain,
! [Y] :
( ! [X] :
( sum(X,Y,add(X,Y))
| ~ defined(X) )
| ~ defined(Y) ),
inference(miniscoping,[status(esa)],[f19]) ).
fof(f61,plain,
! [X0,X1] :
( sum(X0,X1,add(X0,X1))
| ~ defined(X0)
| ~ defined(X1) ),
inference(cnf_transformation,[status(esa)],[f60]) ).
fof(f65,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(f66,plain,
! [X0,X1,X2] :
( less_or_equal(X0,X1)
| ~ less_or_equal(X0,X2)
| ~ less_or_equal(X2,X1) ),
inference(cnf_transformation,[status(esa)],[f65]) ).
fof(f69,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(f70,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)],[f69]) ).
fof(f73,plain,
defined(a),
inference(cnf_transformation,[status(esa)],[f27]) ).
fof(f74,plain,
defined(b),
inference(cnf_transformation,[status(esa)],[f28]) ).
fof(f75,plain,
defined(c),
inference(cnf_transformation,[status(esa)],[f29]) ).
fof(f76,plain,
defined(d),
inference(cnf_transformation,[status(esa)],[f30]) ).
fof(f77,plain,
less_or_equal(a,b),
inference(cnf_transformation,[status(esa)],[f31]) ).
fof(f78,plain,
less_or_equal(c,d),
inference(cnf_transformation,[status(esa)],[f32]) ).
fof(f79,plain,
~ less_or_equal(add(a,c),add(d,b)),
inference(cnf_transformation,[status(esa)],[f33]) ).
fof(f80,plain,
! [X0] :
( ~ less_or_equal(add(a,c),X0)
| ~ less_or_equal(X0,add(d,b)) ),
inference(resolution,[status(thm)],[f66,f79]) ).
fof(f93,plain,
! [X0,X1,X2,X3] :
( ~ less_or_equal(X0,add(d,b))
| ~ less_or_equal(X1,X2)
| ~ sum(X1,X3,add(a,c))
| ~ sum(X2,X3,X0) ),
inference(resolution,[status(thm)],[f80,f70]) ).
fof(f165,plain,
! [X0,X1] :
( sum(X0,X1,add(X1,X0))
| ~ defined(X1)
| ~ defined(X0) ),
inference(resolution,[status(thm)],[f40,f61]) ).
fof(f592,plain,
! [X0] :
( sum(X0,d,add(d,X0))
| ~ defined(X0) ),
inference(resolution,[status(thm)],[f165,f76]) ).
fof(f593,plain,
! [X0] :
( sum(X0,c,add(c,X0))
| ~ defined(X0) ),
inference(resolution,[status(thm)],[f165,f75]) ).
fof(f598,plain,
! [X0] :
( sum(X0,a,add(a,X0))
| ~ defined(X0) ),
inference(resolution,[status(thm)],[f165,f73]) ).
fof(f657,plain,
! [X0] :
( ~ defined(X0)
| sum(d,X0,add(d,X0)) ),
inference(resolution,[status(thm)],[f592,f40]) ).
fof(f709,plain,
! [X0] :
( ~ defined(X0)
| sum(a,X0,add(a,X0)) ),
inference(resolution,[status(thm)],[f598,f40]) ).
fof(f7609,plain,
sum(a,c,add(a,c)),
inference(resolution,[status(thm)],[f709,f75]) ).
fof(f7659,plain,
! [X0,X1] :
( ~ less_or_equal(X0,add(d,b))
| ~ less_or_equal(a,X1)
| ~ sum(X1,c,X0) ),
inference(resolution,[status(thm)],[f7609,f93]) ).
fof(f8162,plain,
! [X0,X1,X2,X3,X4] :
( ~ less_or_equal(a,X0)
| ~ sum(X0,c,X1)
| ~ less_or_equal(X2,X3)
| ~ sum(X2,X4,X1)
| ~ sum(X3,X4,add(d,b)) ),
inference(resolution,[status(thm)],[f7659,f70]) ).
fof(f8510,plain,
sum(d,b,add(d,b)),
inference(resolution,[status(thm)],[f657,f74]) ).
fof(f10512,plain,
sum(b,c,add(c,b)),
inference(resolution,[status(thm)],[f593,f74]) ).
fof(f10982,plain,
sum(c,b,add(c,b)),
inference(resolution,[status(thm)],[f10512,f40]) ).
fof(f31082,plain,
! [X0,X1,X2] :
( ~ less_or_equal(a,X0)
| ~ sum(X0,c,X1)
| ~ less_or_equal(X2,d)
| ~ sum(X2,b,X1) ),
inference(resolution,[status(thm)],[f8162,f8510]) ).
fof(f33205,plain,
! [X0,X1] :
( ~ less_or_equal(a,X0)
| ~ sum(X0,c,X1)
| ~ sum(c,b,X1) ),
inference(resolution,[status(thm)],[f31082,f78]) ).
fof(f33210,plain,
! [X0] :
( ~ less_or_equal(a,X0)
| ~ sum(X0,c,add(c,b)) ),
inference(resolution,[status(thm)],[f33205,f10982]) ).
fof(f33212,plain,
~ less_or_equal(a,b),
inference(resolution,[status(thm)],[f33210,f10512]) ).
fof(f33213,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f33212,f77]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : FLD061-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.10/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34 % Computer : n017.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Apr 29 22:52:03 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.12/0.35 % Drodi V3.6.0
% 152.78/19.59 % Refutation found
% 152.78/19.59 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 152.78/19.59 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 153.37/19.71 % Elapsed time: 19.357706 seconds
% 153.37/19.71 % CPU time: 153.259935 seconds
% 153.37/19.71 % Total memory used: 300.472 MB
% 153.37/19.71 % Net memory used: 293.920 MB
%------------------------------------------------------------------------------