%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : KRS017-1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n005.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 12:59:33 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.39s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of formulae : 22 ( 8 unt; 2 def)
% Number of atoms : 45 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 46 ( 23 ~; 21 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 3 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 14 ( 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
e(exists),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
~ a(exists),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X1] :
( ~ e(X1)
| r(X1,u0r3(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X3,X1,X2] :
( ~ r(X3,X2)
| ~ r(X1,X2)
| ~ e(X1)
| a(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,plain,
e(exists),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f9,plain,
~ a(exists),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f10,plain,
! [X0] :
( ~ e(X0)
| r(X0,u0r3(X0)) ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f11,plain,
! [X3,X2] :
( ~ r(X3,X2)
| ! [X1] :
( ~ r(X1,X2)
| ~ e(X1)
| a(X3) ) ),
inference(miniscoping,[status(thm)],[f4]) ).
fof(f12,plain,
! [X0,X1,X2] :
( ~ r(X0,X2)
| ~ r(X1,X2)
| ~ e(X1)
| a(X0) ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f19,plain,
r(exists,u0r3(exists)),
inference(resolution,[status(thm)],[f10,f8]) ).
fof(f20,plain,
! [X0] :
( ~ r(X0,u0r3(exists))
| ~ e(exists)
| a(X0) ),
inference(resolution,[status(thm)],[f19,f12]) ).
fof(f21,definition,
! [X0] :
( sQ0_spl
<=> ( ~ r(X0,u0r3(exists))
| a(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f22,plain,
! [X0] :
( ~ sQ0_spl
| ~ r(X0,u0r3(exists))
| a(X0) ),
inference(component_clause,[status(thm)],[f21]) ).
fof(f24,definition,
( sQ1_spl
<=> e(exists) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f26,plain,
( sQ1_spl
| ~ e(exists) ),
inference(component_clause,[status(thm)],[f24]) ).
fof(f27,plain,
( ~ sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f20,f21,f24]) ).
fof(f28,plain,
( ~ sQ0_spl
| a(exists) ),
inference(resolution,[status(thm)],[f22,f19]) ).
fof(f29,plain,
( ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f28,f9]) ).
fof(f30,plain,
~ sQ0_spl,
inference(contradiction_clause,[status(thm)],[f29]) ).
fof(f31,plain,
( sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f26,f8]) ).
fof(f32,plain,
sQ1_spl,
inference(contradiction_clause,[status(thm)],[f31]) ).
fof(f33,plain,
$false,
inference(sat_refutation,[status(thm)],[f27,f30,f32]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS017-1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n005.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 20 22:50:48 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.09/0.39 % Refutation found
% 0.09/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.09/0.41 % Elapsed time: 0.037746 seconds
% 0.09/0.41 % CPU time: 0.093666 seconds
% 0.09/0.41 % Total memory used: 11.385 MB
% 0.09/0.41 % Net memory used: 11.004 MB
%------------------------------------------------------------------------------