%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : FLD021-3 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n017.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 12:21:54 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.38s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of formulae : 28 ( 9 unt; 2 def)
% Number of atoms : 58 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 67 ( 37 ~; 28 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 3 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 35 ( 35 !; 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(f27,hypothesis,
defined(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f29,negated_conjecture,
sum(additive_identity,m,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f30,negated_conjecture,
~ sum(m,a,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f31,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(f32,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)],[f31]) ).
fof(f35,plain,
! [X0] :
( ~ defined(X0)
| sum(additive_identity,X0,X0) ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f37,plain,
! [X0,X1,X2] :
( ~ sum(X1,X0,X2)
| sum(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f70,plain,
defined(a),
inference(cnf_transformation,[status(thm)],[f27]) ).
fof(f72,plain,
sum(additive_identity,m,additive_identity),
inference(cnf_transformation,[status(thm)],[f29]) ).
fof(f73,plain,
~ sum(m,a,a),
inference(cnf_transformation,[status(thm)],[f30]) ).
fof(f74,plain,
! [X0,X1,X2] :
( ~ sum(X1,X2,a)
| ~ sum(X0,X2,a)
| ~ sum(m,X0,X1) ),
inference(resolution,[status(thm)],[f32,f73]) ).
fof(f78,plain,
! [X0,X1,X2] :
( ~ sum(X0,m,X2)
| ~ sum(X2,X1,a)
| ~ sum(X0,X1,a) ),
inference(resolution,[status(thm)],[f74,f37]) ).
fof(f82,plain,
! [X0] :
( ~ defined(a)
| ~ sum(X0,m,additive_identity)
| ~ sum(X0,a,a) ),
inference(resolution,[status(thm)],[f78,f35]) ).
fof(f85,definition,
! [X0] :
( sQ0_spl
<=> ( ~ sum(X0,m,additive_identity)
| ~ sum(X0,a,a) ) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f86,plain,
! [X0] :
( ~ sQ0_spl
| ~ sum(X0,m,additive_identity)
| ~ sum(X0,a,a) ),
inference(component_clause,[status(thm)],[f85]) ).
fof(f88,definition,
( sQ1_spl
<=> defined(a) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f90,plain,
( sQ1_spl
| ~ defined(a) ),
inference(component_clause,[status(thm)],[f88]) ).
fof(f91,plain,
( ~ sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f82,f85,f88]) ).
fof(f92,plain,
( ~ sQ0_spl
| ~ sum(additive_identity,a,a) ),
inference(resolution,[status(thm)],[f86,f72]) ).
fof(f95,plain,
( ~ sQ0_spl
| ~ defined(a) ),
inference(resolution,[status(thm)],[f92,f35]) ).
fof(f98,plain,
( ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f95,f70]) ).
fof(f99,plain,
~ sQ0_spl,
inference(contradiction_clause,[status(thm)],[f98]) ).
fof(f100,plain,
( sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f90,f70]) ).
fof(f101,plain,
sQ1_spl,
inference(contradiction_clause,[status(thm)],[f100]) ).
fof(f102,plain,
$false,
inference(sat_refutation,[status(thm)],[f91,f99,f101]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : FLD021-3 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n017.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 15:33:43 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 % Drodi V4.1.1
% 0.14/0.38 % Refutation found
% 0.14/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.40 % Elapsed time: 0.042141 seconds
% 0.14/0.40 % CPU time: 0.122350 seconds
% 0.14/0.40 % Total memory used: 17.420 MB
% 0.14/0.40 % Net memory used: 17.177 MB
%------------------------------------------------------------------------------