%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : LCL680+1.001 : TPTP v9.3.1. Released v4.0.0.
% 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 01:08:33 PM UTC 2026
% Result : Theorem 0.21s 10.52s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 1
% Syntax : Number of formulae : 7 ( 3 unt; 0 def)
% Number of atoms : 11 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 14 ( 10 ~; 2 |; 2 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 3 ( 0 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
~ ? [X] :
~ ( p1(X)
| ~ p1(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
~ ~ ? [X] :
~ ( p1(X)
| ~ p1(X) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
? [X] :
( ~ p1(X)
& p1(X) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f4,plain,
( ~ p1(sK0_skl)
& p1(sK0_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(X,sK0_skl)],[f3]) ).
fof(f5,plain,
p1(sK0_skl),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f6,plain,
~ p1(sK0_skl),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f7,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f6,f5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LCL680+1.001 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.07 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/10.49 % Computer : n002.cluster.edu
% 0.16/10.49 % Model : x86_64 x86_64
% 0.16/10.49 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/10.49 % Memory : 8046.5625MB
% 0.16/10.49 % OS : Linux 6.8.0-71-generic
% 0.16/10.49 % CPULimit : 300
% 0.16/10.49 % WCLimit : 300
% 0.16/10.49 % DateTime : Mon Sep 21 00:58:13 UTC 2026
% 0.16/10.49 % CPUTime :
% 0.16/10.50 % Drodi V4.1.1
% 0.21/10.52 % Refutation found
% 0.21/10.52 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.21/10.52 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.21/10.55 % Elapsed time: 0.043907 seconds
% 0.21/10.55 % CPU time: 0.107906 seconds
% 0.21/10.55 % Total memory used: 16.357 MB
% 0.21/10.55 % Net memory used: 15.711 MB
%------------------------------------------------------------------------------