%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWV061+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n011.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 02:46:33 PM UTC 2026
% Result : Theorem 0.12s 0.38s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 17 ( 3 unt; 3 def)
% Number of atoms : 47 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 49 ( 19 ~; 11 |; 10 &)
% ( 3 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 5 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f53,conjecture,
( true
=> ( ( gt(loopcounter,n1)
=> true )
& ( ~ gt(loopcounter,n1)
=> true ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f54,negated_conjecture,
~ ( true
=> ( ( gt(loopcounter,n1)
=> true )
& ( ~ gt(loopcounter,n1)
=> true ) ) ),
inference(negated_conjecture,[status(cth)],[f53]) ).
fof(f244,plain,
( ( ( ~ true
& gt(loopcounter,n1) )
| ( ~ true
& ~ gt(loopcounter,n1) ) )
& true ),
inference(pre_NNF_transformation,[status(thm)],[f54]) ).
fof(f245,definition,
( sP3_prd
<=> ( ~ true
& ~ gt(loopcounter,n1) ) ),
introduced(definition,[new_symbols(definition,[sP3_prd])],[]) ).
fof(f246,plain,
( ( ( ~ true
& gt(loopcounter,n1) )
| sP3_prd )
& true ),
inference(formula_renaming,[status(thm)],[f244,f245]) ).
fof(f247,plain,
true,
inference(cnf_transformation,[status(thm)],[f246]) ).
fof(f249,plain,
( ~ true
| sP3_prd ),
inference(cnf_transformation,[status(thm)],[f246]) ).
fof(f316,plain,
( ( true
| gt(loopcounter,n1)
| sP3_prd )
& ( ( ~ true
& ~ gt(loopcounter,n1) )
| ~ sP3_prd ) ),
inference(NNF_transformation,[status(thm)],[f245]) ).
fof(f318,plain,
( ~ true
| ~ sP3_prd ),
inference(cnf_transformation,[status(thm)],[f316]) ).
fof(f328,definition,
( sQ0_spl
<=> sP3_prd ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f335,definition,
( sQ2_spl
<=> true ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f337,plain,
( sQ2_spl
| ~ true ),
inference(component_clause,[status(thm)],[f335]) ).
fof(f338,plain,
( ~ sQ2_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f249,f328,f335]) ).
fof(f340,plain,
( ~ sQ2_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f318,f328,f335]) ).
fof(f344,plain,
( sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f337,f247]) ).
fof(f345,plain,
sQ2_spl,
inference(contradiction_clause,[status(thm)],[f344]) ).
fof(f346,plain,
$false,
inference(sat_refutation,[status(thm)],[f338,f340,f345]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV061+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.35 % Computer : n011.cluster.edu
% 0.07/0.35 % Model : x86_64 x86_64
% 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35 % Memory : 8046.5625MB
% 0.07/0.35 % OS : Linux 6.8.0-71-generic
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Mon Sep 21 08:29:10 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.12/0.37 % Drodi V4.1.1
% 0.12/0.38 % Refutation found
% 0.12/0.38 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.40 % Elapsed time: 0.045288 seconds
% 0.12/0.40 % CPU time: 0.122259 seconds
% 0.12/0.40 % Total memory used: 54.196 MB
% 0.12/0.40 % Net memory used: 54.119 MB
%------------------------------------------------------------------------------