%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : FLD013-5 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:21:52 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.49s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of formulae : 29 ( 18 unt; 0 def)
% Number of atoms : 48 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 40 ( 21 ~; 19 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 7 con; 0-0 aty)
% Number of variables : 34 ( 34 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,V,W,Y,U,Z] :
( ~ sum(U,Z,W)
| ~ sum(Y,Z,V)
| ~ sum(X,Y,U)
| sum(X,V,W) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X] :
( ~ defined(X)
| sum(additive_identity,X,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [Y,X,Z] :
( ~ sum(X,Y,Z)
| sum(Y,X,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f28,hypothesis,
defined(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f33,negated_conjecture,
sum(additive_identity,a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f34,negated_conjecture,
sum(additive_identity,c,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f35,negated_conjecture,
sum(a,c,u),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f36,negated_conjecture,
sum(d,b,v),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f37,negated_conjecture,
~ sum(additive_identity,u,v),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f38,plain,
! [W,U,Z] :
( ~ sum(U,Z,W)
| ! [V,Y] :
( ~ sum(Y,Z,V)
| ! [X] :
( ~ sum(X,Y,U)
| sum(X,V,W) ) ) ),
inference(miniscoping,[status(thm)],[f1]) ).
fof(f39,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sum(X4,X5,X2)
| ~ sum(X3,X5,X1)
| ~ sum(X0,X3,X4)
| sum(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f38]) ).
fof(f42,plain,
! [X0] :
( ~ defined(X0)
| sum(additive_identity,X0,X0) ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f44,plain,
! [X0,X1,X2] :
( ~ sum(X1,X0,X2)
| sum(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f78,plain,
defined(b),
inference(cnf_transformation,[status(thm)],[f28]) ).
fof(f83,plain,
sum(additive_identity,a,b),
inference(cnf_transformation,[status(thm)],[f33]) ).
fof(f84,plain,
sum(additive_identity,c,d),
inference(cnf_transformation,[status(thm)],[f34]) ).
fof(f85,plain,
sum(a,c,u),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f86,plain,
sum(d,b,v),
inference(cnf_transformation,[status(thm)],[f36]) ).
fof(f87,plain,
~ sum(additive_identity,u,v),
inference(cnf_transformation,[status(thm)],[f37]) ).
fof(f91,plain,
! [X0,X1,X2] :
( ~ sum(b,X2,X1)
| ~ sum(a,X2,X0)
| sum(additive_identity,X0,X1) ),
inference(resolution,[status(thm)],[f39,f83]) ).
fof(f100,plain,
! [X0,X1,X2] :
( ~ sum(X2,b,X1)
| ~ sum(X0,X2,d)
| sum(X0,X1,v) ),
inference(resolution,[status(thm)],[f39,f86]) ).
fof(f126,plain,
sum(additive_identity,b,b),
inference(resolution,[status(thm)],[f42,f78]) ).
fof(f198,plain,
sum(c,additive_identity,d),
inference(resolution,[status(thm)],[f44,f84]) ).
fof(f569,plain,
! [X0] :
( ~ sum(b,c,X0)
| sum(additive_identity,u,X0) ),
inference(resolution,[status(thm)],[f91,f85]) ).
fof(f610,plain,
! [X0] :
( ~ sum(X0,additive_identity,d)
| sum(X0,b,v) ),
inference(resolution,[status(thm)],[f100,f126]) ).
fof(f621,plain,
sum(c,b,v),
inference(resolution,[status(thm)],[f610,f198]) ).
fof(f626,plain,
sum(b,c,v),
inference(resolution,[status(thm)],[f621,f44]) ).
fof(f637,plain,
sum(additive_identity,u,v),
inference(resolution,[status(thm)],[f626,f569]) ).
fof(f654,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f637,f87]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : FLD013-5 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n015.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 15:40:36 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.37 % Drodi V4.1.1
% 0.14/0.49 % Refutation found
% 0.14/0.49 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.49 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.49 % Elapsed time: 0.125111 seconds
% 0.14/0.49 % CPU time: 0.777236 seconds
% 0.14/0.49 % Total memory used: 24.188 MB
% 0.14/0.49 % Net memory used: 23.602 MB
%------------------------------------------------------------------------------