%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : FLD022-3 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n014.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 12:21:55 PM UTC 2026
% Result : Unsatisfiable 0.18s 0.63s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 10
% Syntax : Number of formulae : 33 ( 17 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 : 11 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-1 aty)
% Number of variables : 54 ( 54 !; 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(f2,axiom,
! [U,Z,W,X,Y,V] :
( ~ sum(X,V,W)
| ~ sum(Y,Z,V)
| ~ sum(X,Y,U)
| sum(U,Z,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(f4,axiom,
! [X] :
( ~ defined(X)
| sum(additive_inverse(X),X,additive_identity) ),
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(f29,hypothesis,
defined(c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f31,negated_conjecture,
sum(a,c,u),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f32,negated_conjecture,
sum(b,c,u),
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,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(f35,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)],[f34]) ).
fof(f36,plain,
! [W,X,V] :
( ~ sum(X,V,W)
| ! [Z,Y] :
( ~ sum(Y,Z,V)
| ! [U] :
( ~ sum(X,Y,U)
| sum(U,Z,W) ) ) ),
inference(miniscoping,[status(thm)],[f2]) ).
fof(f37,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sum(X3,X5,X2)
| ~ sum(X4,X1,X5)
| ~ sum(X3,X4,X0)
| sum(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f36]) ).
fof(f38,plain,
! [X0] :
( ~ defined(X0)
| sum(additive_identity,X0,X0) ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f39,plain,
! [X0] :
( ~ defined(X0)
| sum(additive_inverse(X0),X0,additive_identity) ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f40,plain,
! [X0,X1,X2] :
( ~ sum(X1,X0,X2)
| sum(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f74,plain,
defined(b),
inference(cnf_transformation,[status(thm)],[f28]) ).
fof(f75,plain,
defined(c),
inference(cnf_transformation,[status(thm)],[f29]) ).
fof(f77,plain,
sum(a,c,u),
inference(cnf_transformation,[status(thm)],[f31]) ).
fof(f78,plain,
sum(b,c,u),
inference(cnf_transformation,[status(thm)],[f32]) ).
fof(f79,plain,
~ sum(additive_identity,a,b),
inference(cnf_transformation,[status(thm)],[f33]) ).
fof(f105,plain,
sum(additive_identity,b,b),
inference(resolution,[status(thm)],[f38,f74]) ).
fof(f113,plain,
sum(additive_inverse(c),c,additive_identity),
inference(resolution,[status(thm)],[f39,f75]) ).
fof(f117,plain,
sum(c,b,u),
inference(resolution,[status(thm)],[f40,f78]) ).
fof(f118,plain,
sum(c,a,u),
inference(resolution,[status(thm)],[f40,f77]) ).
fof(f656,plain,
! [X0,X1,X2] :
( ~ sum(X2,b,X1)
| ~ sum(X0,c,X2)
| sum(X0,u,X1) ),
inference(resolution,[status(thm)],[f117,f35]) ).
fof(f659,plain,
! [X0,X1,X2] :
( ~ sum(X2,u,X1)
| ~ sum(X2,c,X0)
| sum(X0,a,X1) ),
inference(resolution,[status(thm)],[f118,f37]) ).
fof(f1445,plain,
! [X0] :
( ~ sum(additive_identity,b,X0)
| sum(additive_inverse(c),u,X0) ),
inference(resolution,[status(thm)],[f113,f656]) ).
fof(f1458,plain,
sum(additive_inverse(c),u,b),
inference(resolution,[status(thm)],[f1445,f105]) ).
fof(f1470,plain,
! [X0] :
( ~ sum(additive_inverse(c),c,X0)
| sum(X0,a,b) ),
inference(resolution,[status(thm)],[f1458,f659]) ).
fof(f1532,plain,
sum(additive_identity,a,b),
inference(resolution,[status(thm)],[f1470,f113]) ).
fof(f1533,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f1532,f79]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : FLD022-3 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.45 % Computer : n014.cluster.edu
% 0.18/0.45 % Model : x86_64 x86_64
% 0.18/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.45 % Memory : 8046.5625MB
% 0.18/0.45 % OS : Linux 6.8.0-71-generic
% 0.18/0.45 % CPULimit : 300
% 0.18/0.45 % WCLimit : 300
% 0.18/0.45 % DateTime : Mon Sep 21 15:38:19 UTC 2026
% 0.18/0.45 % CPUTime :
% 0.18/0.47 % Drodi V4.1.1
% 0.18/0.63 % Refutation found
% 0.18/0.63 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.18/0.63 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.18/0.67 % Elapsed time: 0.189712 seconds
% 0.18/0.67 % CPU time: 1.047224 seconds
% 0.18/0.67 % Total memory used: 25.388 MB
% 0.18/0.67 % Net memory used: 24.737 MB
%------------------------------------------------------------------------------