%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SET025-9 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n014.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 02:08:57 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.42s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 14 ( 12 unt; 0 def)
% Number of atoms : 16 ( 5 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 6 ( 4 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 1 con; 0-2 aty)
% Number of variables : 12 ( 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
! [X,Y] : little_set(non_ordered_pair(X,Y)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [X,Y] : ordered_pair(X,Y) = non_ordered_pair(singleton_set(X),non_ordered_pair(X,Y)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,axiom,
! [X] :
( X = ordered_pair(f2(X),f3(X))
| ~ ordered_pair_predicate(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f142,hypothesis,
ordered_pair_predicate(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f143,negated_conjecture,
~ little_set(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f155,plain,
! [X0,X1] : little_set(non_ordered_pair(X0,X1)),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f157,plain,
! [X0,X1] : ordered_pair(X0,X1) = non_ordered_pair(singleton_set(X0),non_ordered_pair(X0,X1)),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f160,plain,
! [X0] :
( X0 = ordered_pair(f2(X0),f3(X0))
| ~ ordered_pair_predicate(X0) ),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f321,plain,
ordered_pair_predicate(a),
inference(cnf_transformation,[status(thm)],[f142]) ).
fof(f322,plain,
~ little_set(a),
inference(cnf_transformation,[status(thm)],[f143]) ).
fof(f372,plain,
! [X0,X1] : little_set(ordered_pair(X0,X1)),
inference(paramodulation,[status(thm)],[f157,f155]) ).
fof(f377,plain,
a = ordered_pair(f2(a),f3(a)),
inference(resolution,[status(thm)],[f160,f321]) ).
fof(f381,plain,
little_set(a),
inference(paramodulation,[status(thm)],[f377,f372]) ).
fof(f382,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f381,f322]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET025-9 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.37 % Computer : n014.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Mon Sep 21 04:44:04 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.39 % Drodi V4.1.1
% 0.12/0.42 % Refutation found
% 0.12/0.42 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.42 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.45 % Elapsed time: 0.069968 seconds
% 0.12/0.45 % CPU time: 0.180395 seconds
% 0.12/0.45 % Total memory used: 106.634 MB
% 0.12/0.45 % Net memory used: 106.533 MB
%------------------------------------------------------------------------------