%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : FLD017-3 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n004.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 0.16s 0.46s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of formulae : 26 ( 11 unt; 2 def)
% Number of atoms : 48 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 46 ( 24 ~; 20 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 3 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 24 ( 24 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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(f29,hypothesis,
defined(c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f31,negated_conjecture,
sum(additive_identity,a,x),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f32,negated_conjecture,
sum(a,b,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f33,negated_conjecture,
~ sum(x,b,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
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(f75,plain,
defined(c),
inference(cnf_transformation,[status(thm)],[f29]) ).
fof(f77,plain,
sum(additive_identity,a,x),
inference(cnf_transformation,[status(thm)],[f31]) ).
fof(f78,plain,
sum(a,b,c),
inference(cnf_transformation,[status(thm)],[f32]) ).
fof(f79,plain,
~ sum(x,b,c),
inference(cnf_transformation,[status(thm)],[f33]) ).
fof(f81,plain,
! [X0,X1,X2] :
( ~ sum(X0,X2,c)
| ~ sum(X1,b,X2)
| ~ sum(X0,X1,x) ),
inference(resolution,[status(thm)],[f37,f79]) ).
fof(f94,plain,
! [X0] :
( ~ sum(additive_identity,X0,c)
| ~ sum(a,b,X0) ),
inference(resolution,[status(thm)],[f81,f77]) ).
fof(f106,plain,
( ~ defined(c)
| ~ sum(a,b,c) ),
inference(resolution,[status(thm)],[f94,f38]) ).
fof(f110,definition,
( sQ2_spl
<=> sum(a,b,c) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f112,plain,
( sQ2_spl
| ~ sum(a,b,c) ),
inference(component_clause,[status(thm)],[f110]) ).
fof(f113,definition,
( sQ3_spl
<=> defined(c) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f115,plain,
( sQ3_spl
| ~ defined(c) ),
inference(component_clause,[status(thm)],[f113]) ).
fof(f116,plain,
( ~ sQ3_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f106,f110,f113]) ).
fof(f117,plain,
( sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f112,f78]) ).
fof(f118,plain,
sQ2_spl,
inference(contradiction_clause,[status(thm)],[f117]) ).
fof(f119,plain,
( sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f115,f75]) ).
fof(f120,plain,
sQ3_spl,
inference(contradiction_clause,[status(thm)],[f119]) ).
fof(f121,plain,
$false,
inference(sat_refutation,[status(thm)],[f116,f118,f120]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : FLD017-3 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.42 % Computer : n004.cluster.edu
% 0.16/0.42 % Model : x86_64 x86_64
% 0.16/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.42 % Memory : 8046.5625MB
% 0.16/0.42 % OS : Linux 6.8.0-71-generic
% 0.16/0.42 % CPULimit : 300
% 0.16/0.42 % WCLimit : 300
% 0.16/0.42 % DateTime : Mon Sep 21 15:38:04 UTC 2026
% 0.16/0.43 % CPUTime :
% 0.16/0.44 % Drodi V4.1.1
% 0.16/0.46 % Refutation found
% 0.16/0.46 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.16/0.46 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.16/0.48 % Elapsed time: 0.048521 seconds
% 0.16/0.48 % CPU time: 0.146357 seconds
% 0.16/0.48 % Total memory used: 11.048 MB
% 0.16/0.48 % Net memory used: 10.948 MB
%------------------------------------------------------------------------------