%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWV123+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 : 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 02:46:41 PM UTC 2026
% Result : Theorem 0.16s 0.50s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 2
% Syntax : Number of formulae : 7 ( 4 unt; 0 def)
% Number of atoms : 34 ( 0 equ)
% Maximal formula atoms : 10 ( 4 avg)
% Number of connectives : 30 ( 3 ~; 0 |; 13 &)
% ( 0 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 2 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f51,axiom,
true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f53,conjecture,
( geq(minus(n3,n1),n0)
=> ( geq(minus(n6,n1),n0)
=> ( ( geq(minus(n999,n1),n0)
& geq(n2,n0) )
=> ( geq(minus(n6,n1),n0)
=> ( geq(minus(n6,n1),n0)
=> ( geq(minus(n6,n1),n0)
=> ( ( geq(minus(n999,n1),n0)
& geq(minus(n3,n1),n0) )
=> true ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f54,negated_conjecture,
~ ( geq(minus(n3,n1),n0)
=> ( geq(minus(n6,n1),n0)
=> ( ( geq(minus(n999,n1),n0)
& geq(n2,n0) )
=> ( geq(minus(n6,n1),n0)
=> ( geq(minus(n6,n1),n0)
=> ( geq(minus(n6,n1),n0)
=> ( ( geq(minus(n999,n1),n0)
& geq(minus(n3,n1),n0) )
=> true ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f53]) ).
fof(f259,plain,
true,
inference(cnf_transformation,[status(thm)],[f51]) ).
fof(f261,plain,
( ~ true
& geq(minus(n999,n1),n0)
& geq(minus(n3,n1),n0)
& geq(minus(n6,n1),n0)
& geq(minus(n6,n1),n0)
& geq(minus(n6,n1),n0)
& geq(minus(n999,n1),n0)
& geq(n2,n0)
& geq(minus(n6,n1),n0)
& geq(minus(n3,n1),n0) ),
inference(pre_NNF_transformation,[status(thm)],[f54]) ).
fof(f271,plain,
~ true,
inference(cnf_transformation,[status(thm)],[f261]) ).
fof(f366,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f259,f271]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV123+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.05 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.44 % Computer : n002.cluster.edu
% 0.16/0.44 % Model : x86_64 x86_64
% 0.16/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.44 % Memory : 8046.5625MB
% 0.16/0.44 % OS : Linux 6.8.0-71-generic
% 0.16/0.44 % CPULimit : 300
% 0.16/0.44 % WCLimit : 300
% 0.16/0.44 % DateTime : Mon Sep 21 08:34:32 UTC 2026
% 0.16/0.44 % CPUTime :
% 0.16/0.48 % Drodi V4.1.1
% 0.16/0.50 % Refutation found
% 0.16/0.50 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.16/0.50 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.16/0.55 % Elapsed time: 0.100157 seconds
% 0.16/0.55 % CPU time: 0.108028 seconds
% 0.16/0.55 % Total memory used: 3.424 MB
% 0.16/0.55 % Net memory used: 3.420 MB
%------------------------------------------------------------------------------