%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SET044+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n017.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 0.18s 0.48s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 1
% Syntax : Number of formulae : 15 ( 4 unt; 0 def)
% Number of atoms : 50 ( 0 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 58 ( 23 ~; 17 |; 10 &)
% ( 6 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 39 ( 29 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
( ? [Y] :
! [X] :
( element(X,Y)
<=> element(X,X) )
=> ~ ! [X1] :
? [Y1] :
! [Z] :
( element(Z,Y1)
<=> ~ element(Z,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
~ ( ? [Y] :
! [X] :
( element(X,Y)
<=> element(X,X) )
=> ~ ! [X1] :
? [Y1] :
! [Z] :
( element(Z,Y1)
<=> ~ element(Z,X1) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
( ! [X1] :
? [Y1] :
! [Z] :
( element(Z,Y1)
<=> ~ element(Z,X1) )
& ? [Y] :
! [X] :
( element(X,Y)
<=> element(X,X) ) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f4,plain,
( ! [X1] :
? [Y1] :
! [Z] :
( ( element(Z,X1)
| element(Z,Y1) )
& ( ~ element(Z,X1)
| ~ element(Z,Y1) ) )
& ? [Y] :
! [X] :
( ( ~ element(X,X)
| element(X,Y) )
& ( element(X,X)
| ~ element(X,Y) ) ) ),
inference(NNF_transformation,[status(thm)],[f3]) ).
fof(f5,plain,
( ! [X1] :
? [Y1] :
( ! [Z] :
( element(Z,X1)
| element(Z,Y1) )
& ! [Z] :
( ~ element(Z,X1)
| ~ element(Z,Y1) ) )
& ? [Y] :
( ! [X] :
( ~ element(X,X)
| element(X,Y) )
& ! [X] :
( element(X,X)
| ~ element(X,Y) ) ) ),
inference(miniscoping,[status(thm)],[f4]) ).
fof(f6,plain,
( ! [X1] :
( ! [Z] :
( element(Z,X1)
| element(Z,sK1_skl(X1)) )
& ! [Z] :
( ~ element(Z,X1)
| ~ element(Z,sK1_skl(X1)) ) )
& ! [X] :
( ~ element(X,X)
| element(X,sK0_skl) )
& ! [X] :
( element(X,X)
| ~ element(X,sK0_skl) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl]),skolemize(Y,sK0_skl),skolemize(Y1,sK1_skl(X1))],[f5]) ).
fof(f7,plain,
! [X0] :
( element(X0,X0)
| ~ element(X0,sK0_skl) ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f8,plain,
! [X0] :
( ~ element(X0,X0)
| element(X0,sK0_skl) ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f9,plain,
! [X0,X1] :
( ~ element(X0,X1)
| ~ element(X0,sK1_skl(X1)) ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f10,plain,
! [X0,X1] :
( element(X0,X1)
| element(X0,sK1_skl(X1)) ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f12,plain,
! [X0] :
( element(sK1_skl(X0),sK0_skl)
| element(sK1_skl(X0),X0) ),
inference(resolution,[status(thm)],[f10,f8]) ).
fof(f14,plain,
element(sK1_skl(sK0_skl),sK1_skl(sK0_skl)),
inference(resolution,[status(thm)],[f12,f7]) ).
fof(f25,plain,
~ element(sK1_skl(sK0_skl),sK0_skl),
inference(resolution,[status(thm)],[f14,f9]) ).
fof(f26,plain,
element(sK1_skl(sK0_skl),sK0_skl),
inference(resolution,[status(thm)],[f14,f8]) ).
fof(f30,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f25,f26]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SET044+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.05 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.44 % Computer : n017.cluster.edu
% 0.18/0.44 % Model : x86_64 x86_64
% 0.18/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.44 % Memory : 8046.5625MB
% 0.18/0.44 % OS : Linux 6.8.0-71-generic
% 0.18/0.44 % CPULimit : 300
% 0.18/0.44 % WCLimit : 300
% 0.18/0.44 % DateTime : Mon Sep 21 04:42:42 UTC 2026
% 0.18/0.45 % CPUTime :
% 0.18/0.46 % Drodi V4.1.1
% 0.18/0.48 % Refutation found
% 0.18/0.48 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.18/0.48 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.18/0.54 % Elapsed time: 0.083739 seconds
% 0.18/0.54 % CPU time: 0.056927 seconds
% 0.18/0.54 % Total memory used: 2.069 MB
% 0.18/0.54 % Net memory used: 2.030 MB
%------------------------------------------------------------------------------