%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SET045+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 : n001.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 0.10s 0.39s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 2
% Syntax : Number of formulae : 14 ( 6 unt; 0 def)
% Number of atoms : 36 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 40 ( 18 ~; 14 |; 7 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 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 : 26 ( 21 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [Z] :
? [Y] :
! [X] :
( element(X,Y)
<=> ( ~ element(X,X)
& element(X,Z) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,conjecture,
~ ? [Z] :
! [X] : element(X,Z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
~ ~ ? [Z] :
! [X] : element(X,Z),
inference(negated_conjecture,[status(cth)],[f2]) ).
fof(f4,plain,
! [Z] :
? [Y] :
! [X] :
( ( element(X,X)
| ~ element(X,Z)
| element(X,Y) )
& ( ( ~ element(X,X)
& element(X,Z) )
| ~ element(X,Y) ) ),
inference(NNF_transformation,[status(thm)],[f1]) ).
fof(f5,plain,
! [Z] :
? [Y] :
( ! [X] :
( element(X,X)
| ~ element(X,Z)
| element(X,Y) )
& ! [X] :
( ( ~ element(X,X)
& element(X,Z) )
| ~ element(X,Y) ) ),
inference(miniscoping,[status(thm)],[f4]) ).
fof(f6,plain,
! [Z] :
( ! [X] :
( element(X,X)
| ~ element(X,Z)
| element(X,sK0_skl(Z)) )
& ! [X] :
( ( ~ element(X,X)
& element(X,Z) )
| ~ element(X,sK0_skl(Z)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(Y,sK0_skl(Z))],[f5]) ).
fof(f8,plain,
! [X0,X1] :
( ~ element(X0,X0)
| ~ element(X0,sK0_skl(X1)) ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f9,plain,
! [X0,X1] :
( element(X0,X0)
| ~ element(X0,X1)
| element(X0,sK0_skl(X1)) ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f10,plain,
! [X] : element(X,sK1_skl),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl]),skolemize(Z,sK1_skl)],[f3]) ).
fof(f11,plain,
! [X0] : element(X0,sK1_skl),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f12,plain,
! [X0] :
( element(X0,X0)
| element(X0,sK0_skl(sK1_skl)) ),
inference(resolution,[status(thm)],[f9,f11]) ).
fof(f19,plain,
! [X0] :
( ~ element(sK0_skl(X0),sK0_skl(X0))
| element(sK0_skl(X0),sK0_skl(sK1_skl)) ),
inference(resolution,[status(thm)],[f12,f8]) ).
fof(f30,plain,
! [X0] : ~ element(sK0_skl(X0),sK0_skl(X0)),
inference(forward_subsumption_resolution,[status(thm)],[f19,f8]) ).
fof(f31,plain,
$false,
inference(resolution,[status(thm)],[f30,f12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET045+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n001.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 04:53:13 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.37 % Drodi V4.1.1
% 0.10/0.39 % Refutation found
% 0.10/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.10/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.10/0.41 % Elapsed time: 0.037000 seconds
% 0.10/0.41 % CPU time: 0.096313 seconds
% 0.10/0.41 % Total memory used: 12.892 MB
% 0.10/0.41 % Net memory used: 12.448 MB
%------------------------------------------------------------------------------