%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SET076-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n018.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 02:09:13 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.41s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 6
% Syntax : Number of formulae : 21 ( 9 unt; 0 def)
% Number of atoms : 38 ( 13 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 26 ( 9 ~; 17 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 20 ( 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X,Y] :
( subclass(X,Y)
| member(not_subclass_element(X,Y),X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X,Y] :
( subclass(X,Y)
| ~ member(not_subclass_element(X,Y),Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [U,X,Y] :
( U = Y
| U = X
| ~ member(U,unordered_pair(X,Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f92,negated_conjecture,
member(x,z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f93,negated_conjecture,
member(y,z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f94,negated_conjecture,
~ subclass(unordered_pair(x,y),z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f97,plain,
! [X0,X1] :
( subclass(X0,X1)
| member(not_subclass_element(X0,X1),X0) ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f98,plain,
! [X0,X1] :
( subclass(X0,X1)
| ~ member(not_subclass_element(X0,X1),X1) ),
inference(cnf_transformation,[status(thm)],[f3]) ).
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(f200,plain,
member(x,z),
inference(cnf_transformation,[status(thm)],[f92]) ).
fof(f201,plain,
member(y,z),
inference(cnf_transformation,[status(thm)],[f93]) ).
fof(f202,plain,
~ subclass(unordered_pair(x,y),z),
inference(cnf_transformation,[status(thm)],[f94]) ).
fof(f212,plain,
! [X0,X1,X2] :
( subclass(unordered_pair(X0,X1),X2)
| not_subclass_element(unordered_pair(X0,X1),X2) = X1
| not_subclass_element(unordered_pair(X0,X1),X2) = X0 ),
inference(resolution,[status(thm)],[f104,f97]) ).
fof(f242,plain,
( not_subclass_element(unordered_pair(x,y),z) = y
| not_subclass_element(unordered_pair(x,y),z) = x ),
inference(resolution,[status(thm)],[f212,f202]) ).
fof(f294,plain,
( not_subclass_element(unordered_pair(x,y),z) = x
| subclass(unordered_pair(x,y),z)
| ~ member(y,z) ),
inference(paramodulation,[status(thm)],[f242,f98]) ).
fof(f297,plain,
( not_subclass_element(unordered_pair(x,y),z) = x
| subclass(unordered_pair(x,y),z) ),
inference(forward_subsumption_resolution,[status(thm)],[f294,f201]) ).
fof(f301,plain,
not_subclass_element(unordered_pair(x,y),z) = x,
inference(forward_subsumption_resolution,[status(thm)],[f297,f202]) ).
fof(f302,plain,
( subclass(unordered_pair(x,y),z)
| ~ member(x,z) ),
inference(paramodulation,[status(thm)],[f301,f98]) ).
fof(f304,plain,
subclass(unordered_pair(x,y),z),
inference(forward_subsumption_resolution,[status(thm)],[f302,f200]) ).
fof(f306,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f304,f202]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET076-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n018.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Mon Sep 21 04:52:13 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.14/0.38 % Drodi V4.1.1
% 0.14/0.41 % Refutation found
% 0.14/0.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.41 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.42 % Elapsed time: 0.053616 seconds
% 0.14/0.42 % CPU time: 0.141669 seconds
% 0.14/0.42 % Total memory used: 72.646 MB
% 0.14/0.42 % Net memory used: 72.557 MB
%------------------------------------------------------------------------------