%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : FLD071-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n011.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 0.13s 0.39s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of formulae : 20 ( 9 unt; 2 def)
% Number of atoms : 34 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 28 ( 14 ~; 12 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 3 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 6 ( 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f20,axiom,
! [Y,Z] :
( ~ less_or_equal(additive_identity,Z)
| ~ less_or_equal(additive_identity,Y)
| less_or_equal(additive_identity,multiply(Y,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,
~ less_or_equal(additive_identity,multiply(a,b)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f62,plain,
! [Z] :
( ~ less_or_equal(additive_identity,Z)
| ! [Y] :
( ~ less_or_equal(additive_identity,Y)
| less_or_equal(additive_identity,multiply(Y,Z)) ) ),
inference(miniscoping,[status(thm)],[f20]) ).
fof(f63,plain,
! [X0,X1] :
( ~ less_or_equal(additive_identity,X1)
| ~ less_or_equal(additive_identity,X0)
| less_or_equal(additive_identity,multiply(X0,X1)) ),
inference(cnf_transformation,[status(thm)],[f62]) ).
fof(f77,plain,
less_or_equal(additive_identity,a),
inference(cnf_transformation,[status(thm)],[f30]) ).
fof(f78,plain,
less_or_equal(additive_identity,b),
inference(cnf_transformation,[status(thm)],[f31]) ).
fof(f79,plain,
~ less_or_equal(additive_identity,multiply(a,b)),
inference(cnf_transformation,[status(thm)],[f32]) ).
fof(f86,plain,
( ~ less_or_equal(additive_identity,b)
| ~ less_or_equal(additive_identity,a) ),
inference(resolution,[status(thm)],[f63,f79]) ).
fof(f89,definition,
( sQ0_spl
<=> less_or_equal(additive_identity,a) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f91,plain,
( sQ0_spl
| ~ less_or_equal(additive_identity,a) ),
inference(component_clause,[status(thm)],[f89]) ).
fof(f92,definition,
( sQ1_spl
<=> less_or_equal(additive_identity,b) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f94,plain,
( sQ1_spl
| ~ less_or_equal(additive_identity,b) ),
inference(component_clause,[status(thm)],[f92]) ).
fof(f95,plain,
( ~ sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f86,f89,f92]) ).
fof(f104,plain,
( sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f91,f77]) ).
fof(f105,plain,
sQ0_spl,
inference(contradiction_clause,[status(thm)],[f104]) ).
fof(f106,plain,
( sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f94,f78]) ).
fof(f107,plain,
sQ1_spl,
inference(contradiction_clause,[status(thm)],[f106]) ).
fof(f108,plain,
$false,
inference(sat_refutation,[status(thm)],[f95,f105,f107]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : FLD071-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n011.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 15:44:55 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.13/0.36 % Drodi V4.1.1
% 0.13/0.39 % Refutation found
% 0.13/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.40 % Elapsed time: 0.042785 seconds
% 0.13/0.40 % CPU time: 0.111873 seconds
% 0.13/0.40 % Total memory used: 17.405 MB
% 0.13/0.40 % Net memory used: 17.194 MB
%------------------------------------------------------------------------------