%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SET115-7 : TPTP v9.3.1. Bugfixed v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n016.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 02:09:24 PM UTC 2026
% Result : Unsatisfiable 0.23s 0.55s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of formulae : 8 ( 6 unt; 0 def)
% Number of atoms : 10 ( 9 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 6 ( 4 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-2 aty)
% Number of variables : 2 ( 2 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f156,axiom,
! [X] :
( first(X) = X
| ordered_pair(first(X),second(X)) = X ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f160,negated_conjecture,
ordered_pair(first(x),second(x)) != x,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f161,negated_conjecture,
first(x) != x,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f350,plain,
! [X0] :
( first(X0) = X0
| ordered_pair(first(X0),second(X0)) = X0 ),
inference(cnf_transformation,[status(thm)],[f156]) ).
fof(f354,plain,
ordered_pair(first(x),second(x)) != x,
inference(cnf_transformation,[status(thm)],[f160]) ).
fof(f355,plain,
first(x) != x,
inference(cnf_transformation,[status(thm)],[f161]) ).
fof(f359,plain,
first(x) = x,
inference(resolution,[status(thm)],[f350,f354]) ).
fof(f362,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f359,f355]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SET115-7 : TPTP v9.3.1. Bugfixed v7.3.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.48 % Computer : n016.cluster.edu
% 0.18/0.48 % Model : x86_64 x86_64
% 0.18/0.48 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.48 % Memory : 8046.5625MB
% 0.18/0.48 % OS : Linux 6.8.0-71-generic
% 0.18/0.48 % CPULimit : 300
% 0.18/0.48 % WCLimit : 300
% 0.18/0.48 % DateTime : Mon Sep 21 04:58:52 UTC 2026
% 0.18/0.49 % CPUTime :
% 0.18/0.53 % Drodi V4.1.1
% 0.23/0.55 % Refutation found
% 0.23/0.55 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.23/0.55 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.23/0.60 % Elapsed time: 0.099859 seconds
% 0.23/0.60 % CPU time: 0.099598 seconds
% 0.23/0.60 % Total memory used: 3.365 MB
% 0.23/0.60 % Net memory used: 3.363 MB
%------------------------------------------------------------------------------