%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : FLD017-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : 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 12:21:53 PM UTC 2026
% Result : Unsatisfiable 0.17s 0.48s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 9
% Syntax : Number of formulae : 30 ( 11 unt; 2 def)
% Number of atoms : 58 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 62 ( 34 ~; 26 |; 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 : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 26 ( 26 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f22,axiom,
! [X,Y] :
( ~ equalish(Y,X)
| equalish(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f23,axiom,
! [X,Z,Y] :
( ~ equalish(Y,Z)
| ~ equalish(X,Y)
| equalish(X,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f24,axiom,
! [X,Z,Y] :
( ~ equalish(X,Y)
| ~ defined(Z)
| equalish(add(X,Z),add(Y,Z)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f29,hypothesis,
defined(b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f32,negated_conjecture,
equalish(a,x),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f33,negated_conjecture,
equalish(add(a,b),c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f34,negated_conjecture,
~ equalish(add(x,b),c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f67,plain,
! [X0,X1] :
( ~ equalish(X1,X0)
| equalish(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f68,plain,
! [Z,Y] :
( ~ equalish(Y,Z)
| ! [X] :
( ~ equalish(X,Y)
| equalish(X,Z) ) ),
inference(miniscoping,[status(thm)],[f23]) ).
fof(f69,plain,
! [X0,X1,X2] :
( ~ equalish(X2,X1)
| ~ equalish(X0,X2)
| equalish(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f68]) ).
fof(f70,plain,
! [X,Y] :
( ~ equalish(X,Y)
| ! [Z] :
( ~ defined(Z)
| equalish(add(X,Z),add(Y,Z)) ) ),
inference(miniscoping,[status(thm)],[f24]) ).
fof(f71,plain,
! [X0,X1,X2] :
( ~ equalish(X0,X2)
| ~ defined(X1)
| equalish(add(X0,X1),add(X2,X1)) ),
inference(cnf_transformation,[status(thm)],[f70]) ).
fof(f78,plain,
defined(b),
inference(cnf_transformation,[status(thm)],[f29]) ).
fof(f81,plain,
equalish(a,x),
inference(cnf_transformation,[status(thm)],[f32]) ).
fof(f82,plain,
equalish(add(a,b),c),
inference(cnf_transformation,[status(thm)],[f33]) ).
fof(f83,plain,
~ equalish(add(x,b),c),
inference(cnf_transformation,[status(thm)],[f34]) ).
fof(f91,plain,
! [X0] :
( ~ equalish(X0,c)
| ~ equalish(add(x,b),X0) ),
inference(resolution,[status(thm)],[f69,f83]) ).
fof(f112,definition,
( sQ4_spl
<=> defined(b) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f114,plain,
( sQ4_spl
| ~ defined(b) ),
inference(component_clause,[status(thm)],[f112]) ).
fof(f123,plain,
( sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f114,f78]) ).
fof(f124,plain,
sQ4_spl,
inference(contradiction_clause,[status(thm)],[f123]) ).
fof(f181,plain,
! [X0] :
( ~ equalish(add(X0,b),c)
| ~ equalish(x,X0)
| ~ defined(b) ),
inference(resolution,[status(thm)],[f71,f91]) ).
fof(f186,definition,
! [X0] :
( sQ16_spl
<=> ( ~ equalish(add(X0,b),c)
| ~ equalish(x,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f187,plain,
! [X0] :
( ~ sQ16_spl
| ~ equalish(add(X0,b),c)
| ~ equalish(x,X0) ),
inference(component_clause,[status(thm)],[f186]) ).
fof(f189,plain,
( sQ16_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f181,f112,f186]) ).
fof(f231,plain,
( ~ sQ16_spl
| ~ equalish(x,a) ),
inference(resolution,[status(thm)],[f187,f82]) ).
fof(f235,plain,
( ~ sQ16_spl
| ~ equalish(a,x) ),
inference(resolution,[status(thm)],[f231,f67]) ).
fof(f236,plain,
( ~ sQ16_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f235,f81]) ).
fof(f237,plain,
~ sQ16_spl,
inference(contradiction_clause,[status(thm)],[f236]) ).
fof(f238,plain,
$false,
inference(sat_refutation,[status(thm)],[f124,f189,f237]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : FLD017-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.07 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.44 % Computer : n014.cluster.edu
% 0.17/0.44 % Model : x86_64 x86_64
% 0.17/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.44 % Memory : 8046.5625MB
% 0.17/0.44 % OS : Linux 6.8.0-71-generic
% 0.17/0.44 % CPULimit : 300
% 0.17/0.44 % WCLimit : 300
% 0.17/0.44 % DateTime : Mon Sep 21 15:37:04 UTC 2026
% 0.17/0.45 % CPUTime :
% 0.17/0.46 % Drodi V4.1.1
% 0.17/0.48 % Refutation found
% 0.17/0.48 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.17/0.48 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.17/0.50 % Elapsed time: 0.045105 seconds
% 0.17/0.50 % CPU time: 0.106925 seconds
% 0.17/0.50 % Total memory used: 7.183 MB
% 0.17/0.50 % Net memory used: 7.119 MB
%------------------------------------------------------------------------------