%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : FLD013-4 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n002.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 0.38s 0.56s
% Output : CNFRefutation 0.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 9
% Syntax : Number of formulae : 32 ( 14 unt; 0 def)
% Number of atoms : 65 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 75 ( 42 ~; 33 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 55 ( 55 !; 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/sandbox/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/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X] :
( ~ defined(X)
| sum(additive_identity,X,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [Y,X,Z] :
( ~ sum(X,Y,Z)
| sum(Y,X,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f31,hypothesis,
defined(u),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f32,negated_conjecture,
sum(additive_identity,a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f33,negated_conjecture,
sum(additive_identity,c,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f34,negated_conjecture,
sum(a,c,u),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f35,negated_conjecture,
~ sum(d,b,u),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f36,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(f37,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)],[f36]) ).
fof(f38,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(f39,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)],[f38]) ).
fof(f40,plain,
! [X0] :
( ~ defined(X0)
| sum(additive_identity,X0,X0) ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f42,plain,
! [X0,X1,X2] :
( ~ sum(X1,X0,X2)
| sum(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f79,plain,
defined(u),
inference(cnf_transformation,[status(thm)],[f31]) ).
fof(f80,plain,
sum(additive_identity,a,b),
inference(cnf_transformation,[status(thm)],[f32]) ).
fof(f81,plain,
sum(additive_identity,c,d),
inference(cnf_transformation,[status(thm)],[f33]) ).
fof(f82,plain,
sum(a,c,u),
inference(cnf_transformation,[status(thm)],[f34]) ).
fof(f83,plain,
~ sum(d,b,u),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f85,plain,
~ sum(b,d,u),
inference(resolution,[status(thm)],[f42,f83]) ).
fof(f87,plain,
! [X0,X1,X2] :
( ~ sum(X1,X2,u)
| ~ sum(X0,X2,d)
| ~ sum(b,X0,X1) ),
inference(resolution,[status(thm)],[f85,f37]) ).
fof(f100,plain,
! [X0,X1,X2] :
( ~ sum(X2,u,X1)
| ~ sum(X2,a,X0)
| sum(X0,c,X1) ),
inference(resolution,[status(thm)],[f39,f82]) ).
fof(f116,plain,
! [X0] :
( ~ defined(u)
| ~ sum(additive_identity,a,X0)
| sum(X0,c,u) ),
inference(resolution,[status(thm)],[f100,f40]) ).
fof(f119,plain,
! [X0] :
( ~ sum(additive_identity,a,X0)
| sum(X0,c,u) ),
inference(forward_subsumption_resolution,[status(thm)],[f116,f79]) ).
fof(f143,plain,
sum(b,c,u),
inference(resolution,[status(thm)],[f119,f80]) ).
fof(f149,plain,
! [X0] :
( ~ sum(u,X0,u)
| ~ sum(c,X0,d) ),
inference(resolution,[status(thm)],[f143,f87]) ).
fof(f157,plain,
! [X0] :
( ~ sum(X0,u,u)
| ~ sum(c,X0,d) ),
inference(resolution,[status(thm)],[f149,f42]) ).
fof(f159,plain,
! [X0] :
( ~ sum(X0,c,d)
| ~ sum(X0,u,u) ),
inference(resolution,[status(thm)],[f157,f42]) ).
fof(f161,plain,
( ~ defined(u)
| ~ sum(additive_identity,c,d) ),
inference(resolution,[status(thm)],[f159,f40]) ).
fof(f164,plain,
~ defined(u),
inference(forward_subsumption_resolution,[status(thm)],[f161,f81]) ).
fof(f165,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f164,f79]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : FLD013-4 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.43 % Computer : n002.cluster.edu
% 0.17/0.43 % Model : x86_64 x86_64
% 0.17/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.43 % Memory : 8046.5625MB
% 0.17/0.43 % OS : Linux 6.8.0-71-generic
% 0.17/0.43 % CPULimit : 300
% 0.17/0.43 % WCLimit : 300
% 0.17/0.43 % DateTime : Mon Sep 21 15:40:02 UTC 2026
% 0.17/0.43 % CPUTime :
% 0.17/0.44 % Drodi V4.1.1
% 0.38/0.56 % Refutation found
% 0.38/0.56 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.38/0.56 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.38/0.57 % Elapsed time: 0.126922 seconds
% 0.38/0.57 % CPU time: 0.768384 seconds
% 0.38/0.57 % Total memory used: 23.183 MB
% 0.38/0.57 % Net memory used: 22.713 MB
%------------------------------------------------------------------------------