%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN099-1.003 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n006.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 03:15:13 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.39s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 10
% Syntax : Number of formulae : 31 ( 10 unt; 3 def)
% Number of atoms : 59 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 57 ( 29 ~; 25 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 4 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 9 ( 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X] : ~ p_1_3(X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X] :
( ~ p_1_1(X)
| ~ p_2_2(X)
| p_1_2(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X] :
( ~ p_1_2(X)
| ~ p_2_3(X)
| p_1_3(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [X] :
( ~ p_2_2(X)
| ~ p_3_3(X)
| p_2_3(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,axiom,
p_1_1(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,axiom,
p_2_2(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f24,axiom,
p_3_3(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f51,plain,
! [X0] : ~ p_1_3(X0),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f52,plain,
! [X0] :
( ~ p_1_1(X0)
| ~ p_2_2(X0)
| p_1_2(X0) ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f54,plain,
! [X0] :
( ~ p_1_2(X0)
| ~ p_2_3(X0)
| p_1_3(X0) ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f56,plain,
! [X0] :
( ~ p_2_2(X0)
| ~ p_3_3(X0)
| p_2_3(X0) ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f70,plain,
p_1_1(a),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f72,plain,
p_2_2(a),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f74,plain,
p_3_3(a),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f101,plain,
! [X0] :
( ~ p_1_2(X0)
| ~ p_2_3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f54,f51]) ).
fof(f103,plain,
( ~ p_2_2(a)
| p_1_2(a) ),
inference(resolution,[status(thm)],[f70,f52]) ).
fof(f104,definition,
( sQ0_spl
<=> p_1_2(a) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f105,plain,
( ~ sQ0_spl
| p_1_2(a) ),
inference(component_clause,[status(thm)],[f104]) ).
fof(f107,definition,
( sQ1_spl
<=> p_2_2(a) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f109,plain,
( sQ1_spl
| ~ p_2_2(a) ),
inference(component_clause,[status(thm)],[f107]) ).
fof(f110,plain,
( ~ sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f103,f104,f107]) ).
fof(f116,plain,
( ~ p_2_2(a)
| p_2_3(a) ),
inference(resolution,[status(thm)],[f56,f74]) ).
fof(f117,definition,
( sQ3_spl
<=> p_2_3(a) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f118,plain,
( ~ sQ3_spl
| p_2_3(a) ),
inference(component_clause,[status(thm)],[f117]) ).
fof(f120,plain,
( ~ sQ1_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f116,f117,f107]) ).
fof(f121,plain,
( sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f109,f72]) ).
fof(f122,plain,
sQ1_spl,
inference(contradiction_clause,[status(thm)],[f121]) ).
fof(f123,plain,
( ~ sQ3_spl
| ~ p_1_2(a) ),
inference(resolution,[status(thm)],[f118,f101]) ).
fof(f124,plain,
( ~ sQ3_spl
| ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f123,f105]) ).
fof(f125,plain,
( ~ sQ3_spl
| ~ sQ0_spl ),
inference(contradiction_clause,[status(thm)],[f124]) ).
fof(f126,plain,
$false,
inference(sat_refutation,[status(thm)],[f110,f120,f122,f125]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN099-1.003 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n006.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 : Mon Sep 21 10:43:12 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % 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
% 0.13/0.41 % Elapsed time: 0.039127 seconds
% 0.13/0.41 % CPU time: 0.107384 seconds
% 0.13/0.41 % Total memory used: 17.446 MB
% 0.13/0.41 % Net memory used: 17.425 MB
%------------------------------------------------------------------------------