%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN065-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n014.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 03:15:06 PM UTC 2026
% Result : Unsatisfiable 0.10s 0.59s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 10 ( 6 unt; 0 def)
% Number of atoms : 17 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 17 ( 10 ~; 7 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 16 ( 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X] : big_f(X,f(X)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X,Y,Z] :
( big_h(X,Z)
| ~ big_f(Y,Z)
| ~ big_f(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
! [X] : ~ big_h(a,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,plain,
! [X0] : big_f(X0,f(X0)),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f10,plain,
! [X,Z] :
( big_h(X,Z)
| ! [Y] :
( ~ big_f(Y,Z)
| ~ big_f(X,Y) ) ),
inference(miniscoping,[status(thm)],[f3]) ).
fof(f11,plain,
! [X0,X1,X2] :
( big_h(X0,X2)
| ~ big_f(X1,X2)
| ~ big_f(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f18,plain,
! [X0] : ~ big_h(a,X0),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f19,plain,
! [X0,X1] :
( big_h(X0,f(X1))
| ~ big_f(X0,X1) ),
inference(resolution,[status(thm)],[f8,f11]) ).
fof(f20,plain,
! [X0] : ~ big_f(a,X0),
inference(resolution,[status(thm)],[f19,f18]) ).
fof(f21,plain,
$false,
inference(resolution,[status(thm)],[f20,f8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN065-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.57 % Computer : n014.cluster.edu
% 0.10/0.57 % Model : x86_64 x86_64
% 0.10/0.57 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.57 % Memory : 8046.5625MB
% 0.10/0.57 % OS : Linux 6.8.0-71-generic
% 0.10/0.57 % CPULimit : 300
% 0.10/0.57 % WCLimit : 300
% 0.10/0.57 % DateTime : Mon Sep 21 10:41:20 UTC 2026
% 0.10/0.57 % CPUTime :
% 0.10/0.58 % Drodi V4.1.1
% 0.10/0.59 % Refutation found
% 0.10/0.59 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.59 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.10/0.61 % Elapsed time: 0.037570 seconds
% 0.10/0.61 % CPU time: 0.061656 seconds
% 0.10/0.61 % Total memory used: 1.729 MB
% 0.10/0.61 % Net memory used: 1.721 MB
%------------------------------------------------------------------------------