%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : LCL648+1.001 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% 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 : Mon Sep 7 12:43:04 PM UTC 2026
% Result : Theorem 0.03s 0.33s
% Output : CNFRefutation 0.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 1
% Syntax : Number of formulae : 5 ( 2 unt; 0 def)
% Number of atoms : 20 ( 0 equ)
% Maximal formula atoms : 6 ( 4 avg)
% Number of connectives : 37 ( 22 ~; 5 |; 6 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 6 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 9 ( 0 sgn 8 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(main,conjecture,
~ ? [X] :
~ ( ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( p201(Y)
& p101(Y) ) )
| ! [Y] :
( ~ r1(X,Y)
| ~ ( p201(Y)
& p101(Y) ) ) ) ).
fof(subgoal_0,plain,
! [X] :
( ~ ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( p201(Y)
& p101(Y) ) )
=> ! [Y] :
( ( ~ ~ r1(X,Y)
& p201(Y) )
=> ~ p101(Y) ) ),
inference(strip,[],[main]) ).
fof(negate_0_0,plain,
~ ! [X] :
( ~ ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( p201(Y)
& p101(Y) ) )
=> ! [Y] :
( ( ~ ~ r1(X,Y)
& p201(Y) )
=> ~ p101(Y) ) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
$false,
inference(canonicalize,[],[negate_0_0]) ).
cnf(refute_0_0,plain,
$false,
inference(canonicalize,[],[normalize_0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : LCL648+1.001 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.02 % Command : metis --show proof --show saturation %s
% 0.03/0.33 % Computer : n012.cluster.edu
% 0.03/0.33 % Model : x86_64 x86_64
% 0.03/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.33 % Memory : 8046.5625MB
% 0.03/0.33 % OS : Linux 6.8.0-71-generic
% 0.03/0.33 % CPULimit : 300
% 0.03/0.33 % WCLimit : 300
% 0.03/0.33 % DateTime : Fri Sep 4 12:26:58 UTC 2026
% 0.03/0.33 % CPUTime :
% 0.03/0.33 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.03/0.33 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.03/0.33
% 0.03/0.33 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.03/0.34
%------------------------------------------------------------------------------