%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SET024-3 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n002.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 02:08:56 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.40s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 13 ( 8 unt; 0 def)
% Number of atoms : 21 ( 5 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 19 ( 11 ~; 8 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 14 ( 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f6,axiom,
! [U,X,Y] :
( U != X
| ~ little_set(U)
| member(U,non_ordered_pair(X,Y)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [X] : singleton_set(X) = non_ordered_pair(X,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f150,hypothesis,
little_set(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f151,negated_conjecture,
~ member(a,singleton_set(a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f159,plain,
! [U,X] :
( U != X
| ~ little_set(U)
| ! [Y] : member(U,non_ordered_pair(X,Y)) ),
inference(miniscoping,[status(thm)],[f6]) ).
fof(f160,plain,
! [X0,X1,X2] :
( X0 != X1
| ~ little_set(X0)
| member(X0,non_ordered_pair(X1,X2)) ),
inference(cnf_transformation,[status(thm)],[f159]) ).
fof(f164,plain,
! [X0] : singleton_set(X0) = non_ordered_pair(X0,X0),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f340,plain,
little_set(a),
inference(cnf_transformation,[status(thm)],[f150]) ).
fof(f341,plain,
~ member(a,singleton_set(a)),
inference(cnf_transformation,[status(thm)],[f151]) ).
fof(f342,plain,
! [X0,X1] :
( ~ little_set(X0)
| member(X0,non_ordered_pair(X0,X1)) ),
inference(destructive_equality_resolution,[status(thm)],[f160]) ).
fof(f371,plain,
! [X0] :
( ~ little_set(X0)
| member(X0,singleton_set(X0)) ),
inference(paramodulation,[status(thm)],[f164,f342]) ).
fof(f389,plain,
~ little_set(a),
inference(resolution,[status(thm)],[f371,f341]) ).
fof(f392,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f389,f340]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET024-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n002.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 04:46:31 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.12/0.37 % Drodi V4.1.1
% 0.12/0.40 % Refutation found
% 0.12/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.43 % Elapsed time: 0.057648 seconds
% 0.12/0.43 % CPU time: 0.164056 seconds
% 0.12/0.43 % Total memory used: 107.218 MB
% 0.12/0.43 % Net memory used: 107.153 MB
%------------------------------------------------------------------------------