%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWV063+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 : n013.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 0.39s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 1
% Syntax : Number of formulae : 12 ( 6 unt; 0 def)
% Number of atoms : 39 ( 0 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 42 ( 15 ~; 9 |; 16 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f53,conjecture,
( ( leq(pv43,minus(n5,n1))
& leq(pv10,minus(n135300,n1))
& leq(n0,pv43)
& leq(n0,pv10) )
=> ( leq(pv43,minus(n5,n1))
& leq(pv10,minus(n135300,n1))
& leq(n0,pv43)
& leq(n0,pv10) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f54,negated_conjecture,
~ ( ( leq(pv43,minus(n5,n1))
& leq(pv10,minus(n135300,n1))
& leq(n0,pv43)
& leq(n0,pv10) )
=> ( leq(pv43,minus(n5,n1))
& leq(pv10,minus(n135300,n1))
& leq(n0,pv43)
& leq(n0,pv10) ) ),
inference(negated_conjecture,[status(cth)],[f53]) ).
fof(f251,plain,
( ( ~ leq(pv43,minus(n5,n1))
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(n0,pv43)
| ~ leq(n0,pv10) )
& leq(pv43,minus(n5,n1))
& leq(pv10,minus(n135300,n1))
& leq(n0,pv43)
& 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,pv43),
inference(cnf_transformation,[status(thm)],[f251]) ).
fof(f254,plain,
leq(pv10,minus(n135300,n1)),
inference(cnf_transformation,[status(thm)],[f251]) ).
fof(f255,plain,
leq(pv43,minus(n5,n1)),
inference(cnf_transformation,[status(thm)],[f251]) ).
fof(f256,plain,
( ~ leq(pv43,minus(n5,n1))
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(n0,pv43)
| ~ leq(n0,pv10) ),
inference(cnf_transformation,[status(thm)],[f251]) ).
fof(f344,plain,
( ~ leq(pv43,minus(n5,n1))
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(n0,pv43) ),
inference(forward_subsumption_resolution,[status(thm)],[f256,f252]) ).
fof(f345,plain,
( ~ leq(pv10,minus(n135300,n1))
| ~ leq(n0,pv43) ),
inference(resolution,[status(thm)],[f344,f255]) ).
fof(f347,plain,
~ leq(pv10,minus(n135300,n1)),
inference(forward_subsumption_resolution,[status(thm)],[f345,f253]) ).
fof(f349,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f347,f254]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV063+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.34 % Computer : n013.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Mon Sep 21 08:28:51 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.12/0.36 % Drodi V4.1.1
% 0.12/0.39 % Refutation found
% 0.12/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.43 % Elapsed time: 0.066585 seconds
% 0.12/0.43 % CPU time: 0.170255 seconds
% 0.12/0.43 % Total memory used: 108.576 MB
% 0.12/0.43 % Net memory used: 108.429 MB
%------------------------------------------------------------------------------