%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SET081-7 : TPTP v9.3.1. Bugfixed v2.1.0.
% 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 02:09:15 PM UTC 2026
% Result : Unsatisfiable 0.06s 5.39s
% Output : CNFRefutation 0.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 13 ( 8 unt; 0 def)
% Number of atoms : 22 ( 14 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 16 ( 7 ~; 9 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 15 ( 15 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
! [U,X,Y] :
( U = Y
| U = X
| ~ member(U,unordered_pair(X,Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [X] : unordered_pair(X,X) = singleton(X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f125,negated_conjecture,
member(y,singleton(x)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f126,negated_conjecture,
y != x,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f135,plain,
! [U,Y] :
( U = Y
| ! [X] :
( U = X
| ~ member(U,unordered_pair(X,Y)) ) ),
inference(miniscoping,[status(thm)],[f8]) ).
fof(f136,plain,
! [X0,X1,X2] :
( X0 = X2
| X0 = X1
| ~ member(X0,unordered_pair(X1,X2)) ),
inference(cnf_transformation,[status(thm)],[f135]) ).
fof(f142,plain,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f278,plain,
member(y,singleton(x)),
inference(cnf_transformation,[status(thm)],[f125]) ).
fof(f279,plain,
y != x,
inference(cnf_transformation,[status(thm)],[f126]) ).
fof(f317,plain,
! [X0,X1] :
( X0 = X1
| X0 = X1
| ~ member(X0,singleton(X1)) ),
inference(paramodulation,[status(thm)],[f142,f136]) ).
fof(f318,plain,
! [X0,X1] :
( X0 = X1
| ~ member(X0,singleton(X1)) ),
inference(duplicate_literals_removal,[status(thm)],[f317]) ).
fof(f326,plain,
y = x,
inference(resolution,[status(thm)],[f318,f278]) ).
fof(f329,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f326,f279]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET081-7 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.06/5.35 % Computer : n003.cluster.edu
% 0.06/5.35 % Model : x86_64 x86_64
% 0.06/5.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/5.35 % Memory : 8046.5625MB
% 0.06/5.35 % OS : Linux 6.8.0-71-generic
% 0.06/5.35 % CPULimit : 300
% 0.06/5.35 % WCLimit : 300
% 0.06/5.35 % DateTime : Mon Sep 21 04:52:21 UTC 2026
% 0.06/5.35 % CPUTime :
% 0.06/5.37 % Drodi V4.1.1
% 0.06/5.39 % Refutation found
% 0.06/5.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.06/5.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/5.43 % Elapsed time: 0.073980 seconds
% 0.12/5.43 % CPU time: 0.233743 seconds
% 0.12/5.43 % Total memory used: 106.005 MB
% 0.12/5.43 % Net memory used: 105.922 MB
%------------------------------------------------------------------------------