%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : HEN001-1 : TPTP v9.3.1. Released v1.0.0.
% 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 12:45:16 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.76s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of formulae : 8 ( 6 unt; 0 def)
% Number of atoms : 10 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 6 ( 4 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 7 ( 7 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y] :
( quotient(X,Y,zero)
| ~ less_equal(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [X] : less_equal(X,identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,negated_conjecture,
~ quotient(x,identity,zero),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,plain,
! [X0,X1] :
( quotient(X0,X1,zero)
| ~ less_equal(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f19,plain,
! [X0] : less_equal(X0,identity),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f23,plain,
~ quotient(x,identity,zero),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f25,plain,
! [X0] : quotient(X0,identity,zero),
inference(resolution,[status(thm)],[f11,f19]) ).
fof(f28,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f23,f25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : HEN001-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.72 % Computer : n016.cluster.edu
% 0.09/0.72 % Model : x86_64 x86_64
% 0.09/0.72 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.72 % Memory : 8046.5625MB
% 0.09/0.72 % OS : Linux 6.8.0-71-generic
% 0.09/0.72 % CPULimit : 300
% 0.09/0.72 % WCLimit : 300
% 0.09/0.72 % DateTime : Sun Sep 20 20:49:39 UTC 2026
% 0.09/0.72 % CPUTime :
% 0.09/0.73 % Drodi V4.1.1
% 0.09/0.76 % Refutation found
% 0.09/0.76 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.76 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.09/0.78 % Elapsed time: 0.048341 seconds
% 0.09/0.78 % CPU time: 0.140341 seconds
% 0.09/0.78 % Total memory used: 44.250 MB
% 0.09/0.78 % Net memory used: 43.632 MB
%------------------------------------------------------------------------------