%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SET043+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n003.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 02:09:02 PM UTC 2026
% Result : Theorem 0.17s 5.49s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 1
% Syntax : Number of formulae : 9 ( 2 unt; 0 def)
% Number of atoms : 22 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 27 ( 14 ~; 8 |; 3 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 13 ( 9 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
~ ? [X] :
! [Y] :
( element(Y,X)
<=> ~ element(Y,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
~ ~ ? [X] :
! [Y] :
( element(Y,X)
<=> ~ element(Y,Y) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
? [X] :
! [Y] :
( ( element(Y,Y)
| element(Y,X) )
& ( ~ element(Y,Y)
| ~ element(Y,X) ) ),
inference(NNF_transformation,[status(thm)],[f2]) ).
fof(f4,plain,
? [X] :
( ! [Y] :
( element(Y,Y)
| element(Y,X) )
& ! [Y] :
( ~ element(Y,Y)
| ~ element(Y,X) ) ),
inference(miniscoping,[status(thm)],[f3]) ).
fof(f5,plain,
( ! [Y] :
( element(Y,Y)
| element(Y,sK0_skl) )
& ! [Y] :
( ~ element(Y,Y)
| ~ element(Y,sK0_skl) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(X,sK0_skl)],[f4]) ).
fof(f6,plain,
! [X0] :
( ~ element(X0,X0)
| ~ element(X0,sK0_skl) ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f7,plain,
! [X0] :
( element(X0,X0)
| element(X0,sK0_skl) ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f8,plain,
~ element(sK0_skl,sK0_skl),
inference(resolution,[status(thm)],[f7,f6]) ).
fof(f15,plain,
$false,
inference(resolution,[status(thm)],[f8,f7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SET043+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/5.45 % Computer : n003.cluster.edu
% 0.17/5.45 % Model : x86_64 x86_64
% 0.17/5.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/5.45 % Memory : 8046.5625MB
% 0.17/5.45 % OS : Linux 6.8.0-71-generic
% 0.17/5.45 % CPULimit : 300
% 0.17/5.45 % WCLimit : 300
% 0.17/5.45 % DateTime : Mon Sep 21 04:49:06 UTC 2026
% 0.17/5.45 % CPUTime :
% 0.17/5.46 % Drodi V4.1.1
% 0.17/5.49 % Refutation found
% 0.17/5.49 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.17/5.49 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.23/5.52 % Elapsed time: 0.052591 seconds
% 0.23/5.52 % CPU time: 0.132671 seconds
% 0.23/5.52 % Total memory used: 13.326 MB
% 0.23/5.52 % Net memory used: 12.811 MB
%------------------------------------------------------------------------------