%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWV062+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 : n012.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 0.07s 0.91s
% Output : CNFRefutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 1
% Syntax : Number of formulae : 16 ( 8 unt; 0 def)
% Number of atoms : 64 ( 0 equ)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 76 ( 28 ~; 20 |; 26 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 7 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f53,conjecture,
( ( leq(pv43,minus(n5,n1))
& leq(pv41,minus(n5,n1))
& leq(pv10,minus(n135300,n1))
& leq(n0,pv43)
& leq(n0,pv41)
& leq(n0,pv10) )
=> ( leq(pv43,minus(n5,n1))
& leq(pv41,minus(n5,n1))
& leq(pv10,minus(n135300,n1))
& leq(n0,pv43)
& leq(n0,pv41)
& leq(n0,pv10) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f54,negated_conjecture,
~ ( ( leq(pv43,minus(n5,n1))
& leq(pv41,minus(n5,n1))
& leq(pv10,minus(n135300,n1))
& leq(n0,pv43)
& leq(n0,pv41)
& leq(n0,pv10) )
=> ( leq(pv43,minus(n5,n1))
& leq(pv41,minus(n5,n1))
& leq(pv10,minus(n135300,n1))
& leq(n0,pv43)
& leq(n0,pv41)
& leq(n0,pv10) ) ),
inference(negated_conjecture,[status(cth)],[f53]) ).
fof(f251,plain,
( ( ~ leq(pv43,minus(n5,n1))
| ~ leq(pv41,minus(n5,n1))
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(n0,pv43)
| ~ leq(n0,pv41)
| ~ leq(n0,pv10) )
& leq(pv43,minus(n5,n1))
& leq(pv41,minus(n5,n1))
& leq(pv10,minus(n135300,n1))
& leq(n0,pv43)
& leq(n0,pv41)
& 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(n0,pv41),
inference(cnf_transformation,[status(thm)],[f251]) ).
fof(f254,plain,
leq(n0,pv43),
inference(cnf_transformation,[status(thm)],[f251]) ).
fof(f255,plain,
leq(pv10,minus(n135300,n1)),
inference(cnf_transformation,[status(thm)],[f251]) ).
fof(f256,plain,
leq(pv41,minus(n5,n1)),
inference(cnf_transformation,[status(thm)],[f251]) ).
fof(f257,plain,
leq(pv43,minus(n5,n1)),
inference(cnf_transformation,[status(thm)],[f251]) ).
fof(f258,plain,
( ~ leq(pv43,minus(n5,n1))
| ~ leq(pv41,minus(n5,n1))
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(n0,pv43)
| ~ leq(n0,pv41)
| ~ leq(n0,pv10) ),
inference(cnf_transformation,[status(thm)],[f251]) ).
fof(f346,plain,
( ~ leq(pv43,minus(n5,n1))
| ~ leq(pv41,minus(n5,n1))
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(n0,pv43)
| ~ leq(n0,pv41) ),
inference(forward_subsumption_resolution,[status(thm)],[f258,f252]) ).
fof(f347,plain,
( ~ leq(pv43,minus(n5,n1))
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(n0,pv43)
| ~ leq(n0,pv41) ),
inference(resolution,[status(thm)],[f346,f256]) ).
fof(f351,plain,
( ~ leq(pv43,minus(n5,n1))
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(n0,pv43) ),
inference(forward_subsumption_resolution,[status(thm)],[f347,f253]) ).
fof(f360,plain,
( ~ leq(pv43,minus(n5,n1))
| ~ leq(pv10,minus(n135300,n1)) ),
inference(forward_subsumption_resolution,[status(thm)],[f351,f254]) ).
fof(f361,plain,
~ leq(pv10,minus(n135300,n1)),
inference(resolution,[status(thm)],[f360,f257]) ).
fof(f363,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f361,f255]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SWV062+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.02 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.03/0.88 % Computer : n012.cluster.edu
% 0.03/0.88 % Model : x86_64 x86_64
% 0.03/0.88 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.88 % Memory : 8046.5625MB
% 0.03/0.88 % OS : Linux 6.8.0-71-generic
% 0.03/0.88 % CPULimit : 300
% 0.03/0.88 % WCLimit : 300
% 0.03/0.88 % DateTime : Mon Sep 21 08:29:08 UTC 2026
% 0.03/0.88 % CPUTime :
% 0.03/0.89 % Drodi V4.1.1
% 0.07/0.91 % Refutation found
% 0.07/0.91 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.07/0.91 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.07/0.94 % Elapsed time: 0.041876 seconds
% 0.07/0.94 % CPU time: 0.092698 seconds
% 0.07/0.94 % Total memory used: 108.773 MB
% 0.07/0.94 % Net memory used: 108.610 MB
%------------------------------------------------------------------------------