%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : LCL230+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 : n016.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 01:07:14 PM UTC 2026
% Result : Theorem 0.10s 5.58s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 21 ( 7 unt; 3 def)
% Number of atoms : 52 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 47 ( 16 ~; 18 |; 4 &)
% ( 3 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 7 ( 6 usr; 7 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
( ( ( q
| p )
=> ( r
| p ) )
=> ( ( q
=> r )
| p ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
~ ( ( ( q
| p )
=> ( r
| p ) )
=> ( ( q
=> r )
| p ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
( ~ r
& q
& ~ p
& ( r
| p
| ( ~ q
& ~ p ) ) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f5,plain,
( r
| p
| ~ q ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f6,plain,
~ p,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f7,plain,
q,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f8,plain,
~ r,
inference(cnf_transformation,[status(thm)],[f3]) ).
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
<=> r ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f13,plain,
( ~ sQ1_spl
| r ),
inference(component_clause,[status(thm)],[f12]) ).
fof(f16,definition,
( sQ2_spl
<=> q ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f18,plain,
( sQ2_spl
| ~ q ),
inference(component_clause,[status(thm)],[f16]) ).
fof(f19,plain,
( sQ1_spl
| sQ0_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f5,f16,f9,f12]) ).
fof(f20,plain,
( ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f13,f8]) ).
fof(f21,plain,
~ sQ1_spl,
inference(contradiction_clause,[status(thm)],[f20]) ).
fof(f22,plain,
( sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f18,f7]) ).
fof(f23,plain,
sQ2_spl,
inference(contradiction_clause,[status(thm)],[f22]) ).
fof(f24,plain,
( ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f10,f6]) ).
fof(f25,plain,
~ sQ0_spl,
inference(contradiction_clause,[status(thm)],[f24]) ).
fof(f26,plain,
$false,
inference(sat_refutation,[status(thm)],[f19,f21,f23,f25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.21 % Problem : LCL230+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.22 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/5.55 % Computer : n016.cluster.edu
% 0.10/5.55 % Model : x86_64 x86_64
% 0.10/5.55 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.55 % Memory : 8046.5625MB
% 0.10/5.55 % OS : Linux 6.8.0-71-generic
% 0.10/5.55 % CPULimit : 300
% 0.10/5.55 % WCLimit : 300
% 0.10/5.55 % DateTime : Mon Sep 21 00:18:29 UTC 2026
% 0.10/5.55 % CPUTime :
% 0.10/5.56 % Drodi V4.1.1
% 0.10/5.58 % Refutation found
% 0.10/5.58 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.10/5.58 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/5.60 % Elapsed time: 0.040043 seconds
% 0.13/5.60 % CPU time: 0.103699 seconds
% 0.13/5.60 % Total memory used: 14.380 MB
% 0.13/5.60 % Net memory used: 13.859 MB
%------------------------------------------------------------------------------