%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SET094-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 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 02:09:18 PM UTC 2026
% Result : Unsatisfiable 0.11s 0.61s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 16 ( 10 unt; 0 def)
% Number of atoms : 26 ( 17 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 18 ( 8 ~; 10 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 16 ( 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
! [U,X,Y] :
( U = Y
| U = X
| ~ member(U,unordered_pair(X,Y)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [X] : unordered_pair(X,X) = singleton(X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f92,negated_conjecture,
singleton(member_of(x)) = x,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f93,negated_conjecture,
member(y,x),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f94,negated_conjecture,
member_of(x) != y,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f103,plain,
! [U,Y] :
( U = Y
| ! [X] :
( U = X
| ~ member(U,unordered_pair(X,Y)) ) ),
inference(miniscoping,[status(thm)],[f8]) ).
fof(f104,plain,
! [X0,X1,X2] :
( X0 = X2
| X0 = X1
| ~ member(X0,unordered_pair(X1,X2)) ),
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f110,plain,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f200,plain,
singleton(member_of(x)) = x,
inference(cnf_transformation,[status(thm)],[f92]) ).
fof(f201,plain,
member(y,x),
inference(cnf_transformation,[status(thm)],[f93]) ).
fof(f202,plain,
member_of(x) != y,
inference(cnf_transformation,[status(thm)],[f94]) ).
fof(f218,plain,
! [X0,X1] :
( X0 = X1
| X0 = X1
| ~ member(X0,singleton(X1)) ),
inference(paramodulation,[status(thm)],[f110,f104]) ).
fof(f219,plain,
! [X0,X1] :
( X0 = X1
| ~ member(X0,singleton(X1)) ),
inference(duplicate_literals_removal,[status(thm)],[f218]) ).
fof(f228,plain,
! [X0] :
( X0 = member_of(x)
| ~ member(X0,x) ),
inference(paramodulation,[status(thm)],[f200,f219]) ).
fof(f231,plain,
y = member_of(x),
inference(resolution,[status(thm)],[f228,f201]) ).
fof(f232,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f231,f202]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET094-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.58 % Computer : n002.cluster.edu
% 0.11/0.58 % Model : x86_64 x86_64
% 0.11/0.58 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.58 % Memory : 8046.5625MB
% 0.11/0.58 % OS : Linux 6.8.0-71-generic
% 0.11/0.58 % CPULimit : 300
% 0.11/0.58 % WCLimit : 300
% 0.11/0.58 % DateTime : Mon Sep 21 04:55:03 UTC 2026
% 0.11/0.58 % CPUTime :
% 0.11/0.59 % Drodi V4.1.1
% 0.11/0.61 % Refutation found
% 0.11/0.61 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.11/0.61 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/0.64 % Elapsed time: 0.052137 seconds
% 0.15/0.64 % CPU time: 0.146168 seconds
% 0.15/0.64 % Total memory used: 88.461 MB
% 0.15/0.64 % Net memory used: 88.403 MB
%------------------------------------------------------------------------------