%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWV080+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 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 02:46:35 PM UTC 2026
% Result : Theorem 0.12s 0.40s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of formulae : 16 ( 5 unt; 2 def)
% Number of atoms : 33 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 26 ( 9 ~; 7 |; 6 &)
% ( 2 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 3 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f53,conjecture,
( ( leq(pv56,minus(n5,n1))
& leq(n0,pv56) )
=> ( leq(pv56,minus(n5,n1))
& leq(n0,pv56) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f54,negated_conjecture,
~ ( ( leq(pv56,minus(n5,n1))
& leq(n0,pv56) )
=> ( leq(pv56,minus(n5,n1))
& leq(n0,pv56) ) ),
inference(negated_conjecture,[status(cth)],[f53]) ).
fof(f244,plain,
( ( ~ leq(pv56,minus(n5,n1))
| ~ leq(n0,pv56) )
& leq(pv56,minus(n5,n1))
& leq(n0,pv56) ),
inference(pre_NNF_transformation,[status(thm)],[f54]) ).
fof(f245,plain,
leq(n0,pv56),
inference(cnf_transformation,[status(thm)],[f244]) ).
fof(f246,plain,
leq(pv56,minus(n5,n1)),
inference(cnf_transformation,[status(thm)],[f244]) ).
fof(f247,plain,
( ~ leq(pv56,minus(n5,n1))
| ~ leq(n0,pv56) ),
inference(cnf_transformation,[status(thm)],[f244]) ).
fof(f322,definition,
( sQ0_spl
<=> leq(n0,pv56) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f324,plain,
( sQ0_spl
| ~ leq(n0,pv56) ),
inference(component_clause,[status(thm)],[f322]) ).
fof(f325,definition,
( sQ1_spl
<=> leq(pv56,minus(n5,n1)) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f327,plain,
( sQ1_spl
| ~ leq(pv56,minus(n5,n1)) ),
inference(component_clause,[status(thm)],[f325]) ).
fof(f328,plain,
( ~ sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f247,f322,f325]) ).
fof(f331,plain,
( sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f324,f245]) ).
fof(f332,plain,
sQ0_spl,
inference(contradiction_clause,[status(thm)],[f331]) ).
fof(f333,plain,
( sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f327,f246]) ).
fof(f334,plain,
sQ1_spl,
inference(contradiction_clause,[status(thm)],[f333]) ).
fof(f335,plain,
$false,
inference(sat_refutation,[status(thm)],[f328,f332,f334]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV080+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n005.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Mon Sep 21 08:30:02 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.12/0.38 % Drodi V4.1.1
% 0.12/0.40 % Refutation found
% 0.12/0.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.43 % Elapsed time: 0.056302 seconds
% 0.12/0.43 % CPU time: 0.152874 seconds
% 0.12/0.43 % Total memory used: 108.205 MB
% 0.12/0.43 % Net memory used: 108.053 MB
%------------------------------------------------------------------------------