TSTP Solution File: FLD005-3 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : FLD005-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n016.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 12:06:48 EDT 2023
% Result : Unsatisfiable 0.19s 0.54s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 9
% Syntax : Number of formulae : 30 ( 12 unt; 0 def)
% Number of atoms : 58 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 59 ( 31 ~; 28 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 45 (; 45 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,V,W,Y,U,Z] :
( sum(X,V,W)
| ~ sum(X,Y,U)
| ~ sum(Y,Z,V)
| ~ sum(U,Z,W) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X] :
( sum(additive_identity,X,X)
| ~ defined(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X] :
( sum(additive_inverse(X),X,additive_identity)
| ~ defined(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [Y,X,Z] :
( sum(Y,X,Z)
| ~ sum(X,Y,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,axiom,
! [X] :
( defined(additive_inverse(X))
| ~ defined(X) ),
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(f27,hypothesis,
defined(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f28,hypothesis,
defined(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f29,negated_conjecture,
! [X] : ~ sum(a,X,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f30,plain,
! [W,U,Z] :
( ! [V,Y] :
( ! [X] :
( sum(X,V,W)
| ~ sum(X,Y,U) )
| ~ sum(Y,Z,V) )
| ~ sum(U,Z,W) ),
inference(miniscoping,[status(esa)],[f1]) ).
fof(f31,plain,
! [X0,X1,X2,X3,X4,X5] :
( sum(X0,X1,X2)
| ~ sum(X0,X3,X4)
| ~ sum(X3,X5,X1)
| ~ sum(X4,X5,X2) ),
inference(cnf_transformation,[status(esa)],[f30]) ).
fof(f34,plain,
! [X0] :
( sum(additive_identity,X0,X0)
| ~ defined(X0) ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f35,plain,
! [X0] :
( sum(additive_inverse(X0),X0,additive_identity)
| ~ defined(X0) ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f36,plain,
! [X0,X1,X2] :
( sum(X0,X1,X2)
| ~ sum(X1,X0,X2) ),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f51,plain,
! [X0] :
( defined(additive_inverse(X0))
| ~ defined(X0) ),
inference(cnf_transformation,[status(esa)],[f15]) ).
fof(f56,plain,
! [Y] :
( ! [X] :
( sum(X,Y,add(X,Y))
| ~ defined(X) )
| ~ defined(Y) ),
inference(miniscoping,[status(esa)],[f19]) ).
fof(f57,plain,
! [X0,X1] :
( sum(X0,X1,add(X0,X1))
| ~ defined(X0)
| ~ defined(X1) ),
inference(cnf_transformation,[status(esa)],[f56]) ).
fof(f69,plain,
defined(a),
inference(cnf_transformation,[status(esa)],[f27]) ).
fof(f70,plain,
defined(b),
inference(cnf_transformation,[status(esa)],[f28]) ).
fof(f71,plain,
! [X0] : ~ sum(a,X0,b),
inference(cnf_transformation,[status(esa)],[f29]) ).
fof(f75,plain,
! [X0] :
( sum(X0,b,add(X0,b))
| ~ defined(X0) ),
inference(resolution,[status(thm)],[f57,f70]) ).
fof(f77,plain,
! [X0] :
( sum(additive_inverse(X0),b,add(additive_inverse(X0),b))
| ~ defined(X0) ),
inference(resolution,[status(thm)],[f75,f51]) ).
fof(f107,plain,
sum(additive_inverse(a),b,add(additive_inverse(a),b)),
inference(resolution,[status(thm)],[f77,f69]) ).
fof(f134,plain,
sum(additive_identity,b,b),
inference(resolution,[status(thm)],[f34,f70]) ).
fof(f138,plain,
sum(additive_inverse(a),a,additive_identity),
inference(resolution,[status(thm)],[f35,f69]) ).
fof(f148,plain,
! [X0,X1,X2] :
( sum(X0,X1,b)
| ~ sum(X0,X2,additive_identity)
| ~ sum(X2,b,X1) ),
inference(resolution,[status(thm)],[f134,f31]) ).
fof(f188,plain,
sum(a,additive_inverse(a),additive_identity),
inference(resolution,[status(thm)],[f138,f36]) ).
fof(f340,plain,
! [X0] :
( sum(a,X0,b)
| ~ sum(additive_inverse(a),b,X0) ),
inference(resolution,[status(thm)],[f148,f188]) ).
fof(f341,plain,
! [X0] : ~ sum(additive_inverse(a),b,X0),
inference(forward_subsumption_resolution,[status(thm)],[f340,f71]) ).
fof(f342,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f107,f341]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : FLD005-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.12/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n016.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue May 30 11:28:59 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.5.1
% 0.19/0.54 % Refutation found
% 0.19/0.54 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.19/0.54 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.19/0.56 % Elapsed time: 0.217703 seconds
% 0.19/0.56 % CPU time: 0.852102 seconds
% 0.19/0.56 % Memory used: 14.142 MB
%------------------------------------------------------------------------------