%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : LCL648+1.001 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/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 01:08:19 PM UTC 2026
% Result : Theorem 0.12s 0.36s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 1
% Syntax : Number of formulae : 11 ( 5 unt; 0 def)
% Number of atoms : 34 ( 0 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 50 ( 27 ~; 13 |; 10 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 11 ( 7 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
~ ? [X] :
~ ( ! [Y] :
( ~ ( p101(Y)
& p201(Y) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ~ ( p101(Y)
& p201(Y) )
| ~ r1(X,Y) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
~ ~ ? [X] :
~ ( ! [Y] :
( ~ ( p101(Y)
& p201(Y) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ~ ( p101(Y)
& p201(Y) )
| ~ r1(X,Y) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
? [X] :
( ? [Y] :
( p101(Y)
& p201(Y)
& r1(X,Y) )
& ! [Y] :
( ~ p101(Y)
| ~ p201(Y)
| ~ r1(X,Y) ) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f4,plain,
( p101(sK1_skl)
& p201(sK1_skl)
& r1(sK0_skl,sK1_skl)
& ! [Y] :
( ~ p101(Y)
| ~ p201(Y)
| ~ r1(sK0_skl,Y) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl]),skolemize(X,sK0_skl),skolemize(Y,sK1_skl)],[f3]) ).
fof(f5,plain,
! [X0] :
( ~ p101(X0)
| ~ p201(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f6,plain,
r1(sK0_skl,sK1_skl),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f7,plain,
p201(sK1_skl),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f8,plain,
p101(sK1_skl),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f9,plain,
( ~ p201(sK1_skl)
| ~ r1(sK0_skl,sK1_skl) ),
inference(resolution,[status(thm)],[f8,f5]) ).
fof(f10,plain,
~ r1(sK0_skl,sK1_skl),
inference(forward_subsumption_resolution,[status(thm)],[f9,f7]) ).
fof(f11,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f10,f6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL648+1.001 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox/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 00:44:20 UTC 2026
% 0.08/0.34 % CPUTime :
% 0.08/0.35 % Drodi V4.1.1
% 0.12/0.36 % Refutation found
% 0.12/0.36 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.36 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.38 % Elapsed time: 0.035114 seconds
% 0.12/0.38 % CPU time: 0.096188 seconds
% 0.12/0.38 % Total memory used: 31.065 MB
% 0.12/0.38 % Net memory used: 30.729 MB
%------------------------------------------------------------------------------