%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : FLD071-4 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n001.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 12:22:09 PM UTC 2026
% Result : Unsatisfiable 0.16s 0.48s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 14 ( 10 unt; 0 def)
% Number of atoms : 23 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 23 ( 14 ~; 9 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 9 ( 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f25,axiom,
! [Z,X,Y] :
( ~ product(X,Y,Z)
| ~ less_or_equal(additive_identity,Y)
| ~ less_or_equal(additive_identity,X)
| less_or_equal(additive_identity,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f30,negated_conjecture,
less_or_equal(additive_identity,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f31,negated_conjecture,
less_or_equal(additive_identity,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f32,negated_conjecture,
product(a,b,u),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f33,negated_conjecture,
~ less_or_equal(additive_identity,u),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f71,plain,
! [X0,X1,X2] :
( ~ product(X1,X2,X0)
| ~ less_or_equal(additive_identity,X2)
| ~ less_or_equal(additive_identity,X1)
| less_or_equal(additive_identity,X0) ),
inference(cnf_transformation,[status(thm)],[f25]) ).
fof(f76,plain,
less_or_equal(additive_identity,a),
inference(cnf_transformation,[status(thm)],[f30]) ).
fof(f77,plain,
less_or_equal(additive_identity,b),
inference(cnf_transformation,[status(thm)],[f31]) ).
fof(f78,plain,
product(a,b,u),
inference(cnf_transformation,[status(thm)],[f32]) ).
fof(f79,plain,
~ less_or_equal(additive_identity,u),
inference(cnf_transformation,[status(thm)],[f33]) ).
fof(f109,plain,
! [X0,X1] :
( ~ product(X0,X1,u)
| ~ less_or_equal(additive_identity,X1)
| ~ less_or_equal(additive_identity,X0) ),
inference(resolution,[status(thm)],[f71,f79]) ).
fof(f155,plain,
! [X0] :
( ~ product(X0,b,u)
| ~ less_or_equal(additive_identity,X0) ),
inference(resolution,[status(thm)],[f109,f77]) ).
fof(f167,plain,
~ less_or_equal(additive_identity,a),
inference(resolution,[status(thm)],[f155,f78]) ).
fof(f172,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f167,f76]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : FLD071-4 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.07 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.44 % Computer : n001.cluster.edu
% 0.16/0.44 % Model : x86_64 x86_64
% 0.16/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.44 % Memory : 8046.5625MB
% 0.16/0.44 % OS : Linux 6.8.0-71-generic
% 0.16/0.44 % CPULimit : 300
% 0.16/0.44 % WCLimit : 300
% 0.16/0.44 % DateTime : Mon Sep 21 15:50:29 UTC 2026
% 0.16/0.45 % CPUTime :
% 0.16/0.47 % Drodi V4.1.1
% 0.16/0.48 % Refutation found
% 0.16/0.48 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.16/0.48 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.16/0.53 % Elapsed time: 0.076378 seconds
% 0.16/0.53 % CPU time: 0.071976 seconds
% 0.16/0.53 % Total memory used: 1.728 MB
% 0.16/0.53 % Net memory used: 1.709 MB
%------------------------------------------------------------------------------