%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : FLD030-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n014.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 12:21:57 PM UTC 2026
% Result : Unsatisfiable 0.21s 0.52s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of formulae : 23 ( 10 unt; 2 def)
% Number of atoms : 39 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 33 ( 17 ~; 14 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 13 ( 13 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f22,axiom,
! [X,Y] :
( ~ equalish(Y,X)
| equalish(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f25,axiom,
! [X,Z,Y] :
( ~ equalish(X,Y)
| ~ defined(Z)
| equalish(multiply(X,Z),multiply(Y,Z)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f29,hypothesis,
defined(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f31,negated_conjecture,
equalish(a,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f32,negated_conjecture,
~ equalish(multiply(d,b),multiply(a,b)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f65,plain,
! [X0,X1] :
( ~ equalish(X1,X0)
| equalish(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f70,plain,
! [X,Y] :
( ~ equalish(X,Y)
| ! [Z] :
( ~ defined(Z)
| equalish(multiply(X,Z),multiply(Y,Z)) ) ),
inference(miniscoping,[status(thm)],[f25]) ).
fof(f71,plain,
! [X0,X1,X2] :
( ~ equalish(X0,X2)
| ~ defined(X1)
| equalish(multiply(X0,X1),multiply(X2,X1)) ),
inference(cnf_transformation,[status(thm)],[f70]) ).
fof(f76,plain,
defined(b),
inference(cnf_transformation,[status(thm)],[f29]) ).
fof(f78,plain,
equalish(a,d),
inference(cnf_transformation,[status(thm)],[f31]) ).
fof(f79,plain,
~ equalish(multiply(d,b),multiply(a,b)),
inference(cnf_transformation,[status(thm)],[f32]) ).
fof(f80,plain,
~ equalish(multiply(a,b),multiply(d,b)),
inference(resolution,[status(thm)],[f65,f79]) ).
fof(f94,definition,
( sQ2_spl
<=> defined(b) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f96,plain,
( sQ2_spl
| ~ defined(b) ),
inference(component_clause,[status(thm)],[f94]) ).
fof(f105,plain,
( sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f96,f76]) ).
fof(f106,plain,
sQ2_spl,
inference(contradiction_clause,[status(thm)],[f105]) ).
fof(f107,plain,
( ~ equalish(a,d)
| ~ defined(b) ),
inference(resolution,[status(thm)],[f71,f80]) ).
fof(f110,definition,
( sQ5_spl
<=> equalish(a,d) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f112,plain,
( sQ5_spl
| ~ equalish(a,d) ),
inference(component_clause,[status(thm)],[f110]) ).
fof(f113,plain,
( ~ sQ5_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f107,f94,f110]) ).
fof(f122,plain,
( sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f112,f78]) ).
fof(f123,plain,
sQ5_spl,
inference(contradiction_clause,[status(thm)],[f122]) ).
fof(f124,plain,
$false,
inference(sat_refutation,[status(thm)],[f106,f113,f123]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : FLD030-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.48 % Computer : n014.cluster.edu
% 0.18/0.48 % Model : x86_64 x86_64
% 0.18/0.48 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.48 % Memory : 8046.5625MB
% 0.18/0.48 % OS : Linux 6.8.0-71-generic
% 0.18/0.48 % CPULimit : 300
% 0.18/0.48 % WCLimit : 300
% 0.18/0.48 % DateTime : Mon Sep 21 15:38:34 UTC 2026
% 0.18/0.49 % CPUTime :
% 0.18/0.50 % Drodi V4.1.1
% 0.21/0.52 % Refutation found
% 0.21/0.52 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.21/0.52 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.21/0.61 % Elapsed time: 0.112515 seconds
% 0.21/0.61 % CPU time: 0.081580 seconds
% 0.21/0.61 % Total memory used: 2.244 MB
% 0.21/0.61 % Net memory used: 2.236 MB
%------------------------------------------------------------------------------