%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWV084+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 : n002.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 02:46:36 PM UTC 2026
% Result : Theorem 0.09s 5.39s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 1
% Syntax : Number of formulae : 8 ( 4 unt; 0 def)
% Number of atoms : 18 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 16 ( 6 ~; 2 |; 6 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 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(pv67,minus(n5,n1))
& leq(n0,pv67) )
=> ( leq(pv67,minus(n5,n1))
& leq(n0,pv67) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f54,negated_conjecture,
~ ( ( leq(pv67,minus(n5,n1))
& leq(n0,pv67) )
=> ( leq(pv67,minus(n5,n1))
& leq(n0,pv67) ) ),
inference(negated_conjecture,[status(cth)],[f53]) ).
fof(f244,plain,
( ( ~ leq(pv67,minus(n5,n1))
| ~ leq(n0,pv67) )
& leq(pv67,minus(n5,n1))
& leq(n0,pv67) ),
inference(pre_NNF_transformation,[status(thm)],[f54]) ).
fof(f245,plain,
leq(n0,pv67),
inference(cnf_transformation,[status(thm)],[f244]) ).
fof(f246,plain,
leq(pv67,minus(n5,n1)),
inference(cnf_transformation,[status(thm)],[f244]) ).
fof(f247,plain,
( ~ leq(pv67,minus(n5,n1))
| ~ leq(n0,pv67) ),
inference(cnf_transformation,[status(thm)],[f244]) ).
fof(f325,plain,
~ leq(pv67,minus(n5,n1)),
inference(forward_subsumption_resolution,[status(thm)],[f247,f245]) ).
fof(f326,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f246,f325]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV084+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/5.36 % Computer : n002.cluster.edu
% 0.09/5.36 % Model : x86_64 x86_64
% 0.09/5.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.36 % Memory : 8046.5625MB
% 0.09/5.36 % OS : Linux 6.8.0-71-generic
% 0.09/5.36 % CPULimit : 300
% 0.09/5.36 % WCLimit : 300
% 0.09/5.36 % DateTime : Mon Sep 21 08:33:09 UTC 2026
% 0.09/5.36 % CPUTime :
% 0.09/5.38 % Drodi V4.1.1
% 0.09/5.39 % Refutation found
% 0.09/5.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/5.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/5.41 % Elapsed time: 0.043615 seconds
% 0.14/5.41 % CPU time: 0.082866 seconds
% 0.14/5.41 % Total memory used: 10.167 MB
% 0.14/5.41 % Net memory used: 10.154 MB
%------------------------------------------------------------------------------