%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN333-1 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n008.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 03:15:47 PM UTC 2026
% Result : Unsatisfiable 0.02s 0.39s
% Output : CNFRefutation 0.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of formulae : 12 ( 5 unt; 0 def)
% Number of atoms : 26 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 33 ( 19 ~; 14 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 0 con; 2-2 aty)
% Number of variables : 22 ( 22 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X,Y] : f(X,Y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
! [Y,X] :
( g(X,Y)
| ~ f(z(X,Y),z(X,Y))
| ~ f(Y,z(X,Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
! [Y,X] :
( ~ g(z(X,Y),z(X,Y))
| ~ g(X,z(X,Y))
| ~ f(z(X,Y),z(X,Y))
| ~ f(Y,z(X,Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,plain,
! [X0,X1] : f(X0,X1),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f5,plain,
! [X0,X1] :
( g(X1,X0)
| ~ f(z(X1,X0),z(X1,X0))
| ~ f(X0,z(X1,X0)) ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f6,plain,
! [X0,X1] :
( ~ g(z(X1,X0),z(X1,X0))
| ~ g(X1,z(X1,X0))
| ~ f(z(X1,X0),z(X1,X0))
| ~ f(X0,z(X1,X0)) ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f7,plain,
! [X0,X1] :
( g(X0,X1)
| ~ f(z(X0,X1),z(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[f5,f4]) ).
fof(f8,plain,
! [X0,X1] : g(X0,X1),
inference(resolution,[status(thm)],[f7,f4]) ).
fof(f9,plain,
! [X0,X1] :
( ~ g(z(X0,X1),z(X0,X1))
| ~ g(X0,z(X0,X1))
| ~ f(z(X0,X1),z(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[f6,f4]) ).
fof(f10,plain,
! [X0,X1] :
( ~ g(X0,z(X0,X1))
| ~ f(z(X0,X1),z(X0,X1)) ),
inference(resolution,[status(thm)],[f9,f8]) ).
fof(f11,plain,
! [X0,X1] : ~ g(X0,z(X0,X1)),
inference(forward_subsumption_resolution,[status(thm)],[f10,f4]) ).
fof(f12,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f11,f8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN333-1 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n008.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % 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 10:50:54 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.02/0.37 % Drodi V4.1.1
% 0.02/0.39 % Refutation found
% 0.02/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.02/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.02/0.41 % Elapsed time: 0.046417 seconds
% 0.02/0.41 % CPU time: 0.138705 seconds
% 0.02/0.41 % Total memory used: 55.220 MB
% 0.02/0.41 % Net memory used: 54.588 MB
%------------------------------------------------------------------------------