%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWV070+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 : n018.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 02:46:34 PM UTC 2026
% Result : Theorem 0.10s 5.40s
% Output : CNFRefutation 0.10s
% 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(pv10,minus(n135300,n1))
& leq(n0,pv10) )
=> ( leq(pv10,minus(n135300,n1))
& leq(n0,pv10) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f54,negated_conjecture,
~ ( ( leq(pv10,minus(n135300,n1))
& leq(n0,pv10) )
=> ( leq(pv10,minus(n135300,n1))
& leq(n0,pv10) ) ),
inference(negated_conjecture,[status(cth)],[f53]) ).
fof(f251,plain,
( ( ~ leq(pv10,minus(n135300,n1))
| ~ leq(n0,pv10) )
& leq(pv10,minus(n135300,n1))
& leq(n0,pv10) ),
inference(pre_NNF_transformation,[status(thm)],[f54]) ).
fof(f252,plain,
leq(n0,pv10),
inference(cnf_transformation,[status(thm)],[f251]) ).
fof(f253,plain,
leq(pv10,minus(n135300,n1)),
inference(cnf_transformation,[status(thm)],[f251]) ).
fof(f254,plain,
( ~ leq(pv10,minus(n135300,n1))
| ~ leq(n0,pv10) ),
inference(cnf_transformation,[status(thm)],[f251]) ).
fof(f336,definition,
( sQ0_spl
<=> leq(n0,pv10) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f338,plain,
( sQ0_spl
| ~ leq(n0,pv10) ),
inference(component_clause,[status(thm)],[f336]) ).
fof(f339,definition,
( sQ1_spl
<=> leq(pv10,minus(n135300,n1)) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f341,plain,
( sQ1_spl
| ~ leq(pv10,minus(n135300,n1)) ),
inference(component_clause,[status(thm)],[f339]) ).
fof(f342,plain,
( ~ sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f254,f336,f339]) ).
fof(f345,plain,
( sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f338,f252]) ).
fof(f346,plain,
sQ0_spl,
inference(contradiction_clause,[status(thm)],[f345]) ).
fof(f347,plain,
( sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f341,f253]) ).
fof(f348,plain,
sQ1_spl,
inference(contradiction_clause,[status(thm)],[f347]) ).
fof(f349,plain,
$false,
inference(sat_refutation,[status(thm)],[f342,f346,f348]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV070+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/5.37 % Computer : n018.cluster.edu
% 0.10/5.37 % Model : x86_64 x86_64
% 0.10/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.37 % Memory : 8046.5625MB
% 0.10/5.37 % OS : Linux 6.8.0-71-generic
% 0.10/5.37 % CPULimit : 300
% 0.10/5.37 % WCLimit : 300
% 0.10/5.37 % DateTime : Mon Sep 21 08:31:34 UTC 2026
% 0.10/5.37 % CPUTime :
% 0.10/5.39 % Drodi V4.1.1
% 0.10/5.40 % Refutation found
% 0.10/5.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.10/5.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/5.42 % Elapsed time: 0.047071 seconds
% 0.15/5.42 % CPU time: 0.086612 seconds
% 0.15/5.42 % Total memory used: 13.596 MB
% 0.15/5.42 % Net memory used: 13.577 MB
%------------------------------------------------------------------------------