%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SET083-7 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n004.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 0.10s 0.40s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 14 ( 8 unt; 0 def)
% Number of atoms : 20 ( 9 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 14 ( 8 ~; 6 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 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; 3 con; 0-1 aty)
% Number of variables : 7 ( 7 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f122,axiom,
! [X] :
( member(X,singleton(X))
| ~ member(X,universal_class) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f125,axiom,
! [Y,X] :
( Y = X
| ~ member(Y,singleton(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f127,negated_conjecture,
singleton(x) = singleton(y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f128,negated_conjecture,
member(x,universal_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f129,negated_conjecture,
x != y,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f278,plain,
! [X0] :
( member(X0,singleton(X0))
| ~ member(X0,universal_class) ),
inference(cnf_transformation,[status(thm)],[f122]) ).
fof(f281,plain,
! [X0,X1] :
( X0 = X1
| ~ member(X0,singleton(X1)) ),
inference(cnf_transformation,[status(thm)],[f125]) ).
fof(f283,plain,
singleton(x) = singleton(y),
inference(cnf_transformation,[status(thm)],[f127]) ).
fof(f284,plain,
member(x,universal_class),
inference(cnf_transformation,[status(thm)],[f128]) ).
fof(f285,plain,
x != y,
inference(cnf_transformation,[status(thm)],[f129]) ).
fof(f291,plain,
! [X0] :
( X0 = y
| ~ member(X0,singleton(x)) ),
inference(paramodulation,[status(thm)],[f283,f281]) ).
fof(f360,plain,
( x = y
| ~ member(x,universal_class) ),
inference(resolution,[status(thm)],[f278,f291]) ).
fof(f363,plain,
x = y,
inference(forward_subsumption_resolution,[status(thm)],[f360,f284]) ).
fof(f364,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f363,f285]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET083-7 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n004.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 21 04:50:52 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.38 % Drodi V4.1.1
% 0.10/0.40 % Refutation found
% 0.10/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.10/0.44 % Elapsed time: 0.049933 seconds
% 0.10/0.44 % CPU time: 0.158785 seconds
% 0.10/0.44 % Total memory used: 102.975 MB
% 0.10/0.44 % Net memory used: 102.903 MB
%------------------------------------------------------------------------------