%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : LCL181-2 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n017.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 01:07:01 PM UTC 2026
% Result : Unsatisfiable 0.16s 0.44s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 16 ( 7 unt; 2 def)
% Number of atoms : 25 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 19 ( 10 ~; 7 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 5 ( 4 usr; 5 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
( q
| p ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
~ q,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
~ p,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,plain,
( q
| p ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f7,plain,
~ q,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f8,plain,
~ p,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f9,definition,
( sQ0_spl
<=> p ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f10,plain,
( ~ sQ0_spl
| p ),
inference(component_clause,[status(thm)],[f9]) ).
fof(f12,definition,
( sQ1_spl
<=> q ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f13,plain,
( ~ sQ1_spl
| q ),
inference(component_clause,[status(thm)],[f12]) ).
fof(f15,plain,
( sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f5,f9,f12]) ).
fof(f17,plain,
( ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f10,f8]) ).
fof(f18,plain,
~ sQ0_spl,
inference(contradiction_clause,[status(thm)],[f17]) ).
fof(f19,plain,
( ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f13,f7]) ).
fof(f20,plain,
~ sQ1_spl,
inference(contradiction_clause,[status(thm)],[f19]) ).
fof(f21,plain,
$false,
inference(sat_refutation,[status(thm)],[f15,f18,f20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : LCL181-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.38 % Computer : n017.cluster.edu
% 0.13/0.38 % Model : x86_64 x86_64
% 0.13/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38 % Memory : 8046.5625MB
% 0.13/0.38 % OS : Linux 6.8.0-71-generic
% 0.13/0.38 % CPULimit : 300
% 0.13/0.38 % WCLimit : 300
% 0.13/0.38 % DateTime : Mon Sep 21 00:04:42 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.40 % Drodi V4.1.1
% 0.16/0.44 % Refutation found
% 0.16/0.44 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.16/0.44 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.16/0.46 % Elapsed time: 0.063549 seconds
% 0.16/0.46 % CPU time: 0.060591 seconds
% 0.16/0.46 % Total memory used: 511.344 KB
% 0.16/0.46 % Net memory used: 493.424 KB
%------------------------------------------------------------------------------