%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN326-1 : TPTP v9.3.1. Released v1.2.0.
% 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 03:15:45 PM UTC 2026
% Result : Unsatisfiable 0.08s 0.37s
% Output : CNFRefutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 12 ( 6 unt; 0 def)
% Number of atoms : 18 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 12 ( 6 ~; 6 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 0 con; 1-1 aty)
% Number of variables : 11 ( 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,negated_conjecture,
! [X] :
( f(X,X)
| g(y(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
! [X] :
( f(X,X)
| ~ h(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
! [X] :
( h(z(X))
| ~ g(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
! [X] : ~ f(z(X),z(X)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,plain,
! [X0] :
( f(X0,X0)
| g(y(X0)) ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f10,plain,
! [X0] :
( f(X0,X0)
| ~ h(X0) ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f12,plain,
! [X0] :
( h(z(X0))
| ~ g(X0) ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f14,plain,
! [X0] : ~ f(z(X0),z(X0)),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f16,plain,
! [X0] : g(y(z(X0))),
inference(resolution,[status(thm)],[f9,f14]) ).
fof(f17,plain,
! [X0] : h(z(y(z(X0)))),
inference(resolution,[status(thm)],[f16,f12]) ).
fof(f18,plain,
! [X0] : f(z(y(z(X0))),z(y(z(X0)))),
inference(resolution,[status(thm)],[f17,f10]) ).
fof(f19,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f18,f14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN326-1 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.34 % Computer : n016.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 10:54:23 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.36 % Drodi V4.1.1
% 0.08/0.37 % Refutation found
% 0.08/0.37 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.08/0.37 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.39 % Elapsed time: 0.036679 seconds
% 0.12/0.39 % CPU time: 0.091274 seconds
% 0.12/0.39 % Total memory used: 11.854 MB
% 0.12/0.39 % Net memory used: 11.440 MB
%------------------------------------------------------------------------------