%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SET085-7 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n012.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 02:09:16 PM UTC 2026
% Result : Unsatisfiable 0.05s 15.37s
% Output : CNFRefutation 0.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of formulae : 22 ( 14 unt; 0 def)
% Number of atoms : 34 ( 19 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 23 ( 11 ~; 12 |; 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 : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 19 ( 19 !; 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(f9,axiom,
! [X,Y] :
( member(X,unordered_pair(X,Y))
| ~ member(X,universal_class) ),
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(f129,negated_conjecture,
unordered_pair(y,z) = singleton(x),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f130,negated_conjecture,
member(x,universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f131,negated_conjecture,
x != y,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f132,negated_conjecture,
x != z,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f141,plain,
! [U,Y] :
( U = Y
| ! [X] :
( U = X
| ~ member(U,unordered_pair(X,Y)) ) ),
inference(miniscoping,[status(thm)],[f8]) ).
fof(f142,plain,
! [X0,X1,X2] :
( X0 = X2
| X0 = X1
| ~ member(X0,unordered_pair(X1,X2)) ),
inference(cnf_transformation,[status(thm)],[f141]) ).
fof(f143,plain,
! [X] :
( ! [Y] : member(X,unordered_pair(X,Y))
| ~ member(X,universal_class) ),
inference(miniscoping,[status(thm)],[f9]) ).
fof(f144,plain,
! [X0,X1] :
( member(X0,unordered_pair(X0,X1))
| ~ member(X0,universal_class) ),
inference(cnf_transformation,[status(thm)],[f143]) ).
fof(f148,plain,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f288,plain,
unordered_pair(y,z) = singleton(x),
inference(cnf_transformation,[status(thm)],[f129]) ).
fof(f289,plain,
member(x,universal_class),
inference(cnf_transformation,[status(thm)],[f130]) ).
fof(f290,plain,
x != y,
inference(cnf_transformation,[status(thm)],[f131]) ).
fof(f291,plain,
x != z,
inference(cnf_transformation,[status(thm)],[f132]) ).
fof(f297,plain,
! [X0] :
( X0 = z
| X0 = y
| ~ member(X0,singleton(x)) ),
inference(paramodulation,[status(thm)],[f288,f142]) ).
fof(f302,plain,
! [X0] : member(x,unordered_pair(x,X0)),
inference(resolution,[status(thm)],[f144,f289]) ).
fof(f307,plain,
member(x,singleton(x)),
inference(paramodulation,[status(thm)],[f148,f302]) ).
fof(f308,plain,
( x = z
| x = y ),
inference(resolution,[status(thm)],[f297,f307]) ).
fof(f310,plain,
x = z,
inference(forward_subsumption_resolution,[status(thm)],[f308,f290]) ).
fof(f311,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f310,f291]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SET085-7 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.02 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.05/15.33 % Computer : n012.cluster.edu
% 0.05/15.33 % Model : x86_64 x86_64
% 0.05/15.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.05/15.33 % Memory : 8046.5625MB
% 0.05/15.33 % OS : Linux 6.8.0-71-generic
% 0.05/15.33 % CPULimit : 300
% 0.05/15.33 % WCLimit : 300
% 0.05/15.33 % DateTime : Mon Sep 21 04:50:54 UTC 2026
% 0.05/15.34 % CPUTime :
% 0.05/15.35 % Drodi V4.1.1
% 0.05/15.37 % Refutation found
% 0.05/15.37 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.05/15.37 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.08/15.41 % Elapsed time: 0.053894 seconds
% 0.08/15.41 % CPU time: 0.129641 seconds
% 0.08/15.41 % Total memory used: 106.012 MB
% 0.08/15.41 % Net memory used: 105.958 MB
%------------------------------------------------------------------------------