%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN002-1.007.008 : TPTP v9.3.1. Released v1.0.0.
% 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 03:14:53 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.39s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 2
% Syntax : Number of formulae : 14 ( 3 unt; 0 def)
% Number of atoms : 25 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 28 ( 17 ~; 11 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 9 ( 4 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 0 con; 1-1 aty)
% Number of variables : 13 ( 13 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X] :
( p(f(f(f(f(f(f(f(X))))))))
| p(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
! [X] :
( ~ p(f(f(f(f(f(f(f(f(X)))))))))
| ~ p(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,plain,
! [X0] :
( p(f(f(f(f(f(f(f(X0))))))))
| p(X0) ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f4,plain,
! [X0] :
( ~ p(f(f(f(f(f(f(f(f(X0)))))))))
| ~ p(X0) ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f5,plain,
! [X0] :
( ~ p(X0)
| p(f(X0)) ),
inference(resolution,[status(thm)],[f3,f4]) ).
fof(f6,plain,
! [X0] :
( ~ p(X0)
| ~ p(f(f(f(f(f(f(f(X0)))))))) ),
inference(resolution,[status(thm)],[f5,f4]) ).
fof(f8,plain,
! [X0] :
( ~ p(f(f(f(f(f(f(X0)))))))
| ~ p(X0) ),
inference(resolution,[status(thm)],[f6,f5]) ).
fof(f10,plain,
! [X0] :
( ~ p(f(f(f(f(f(X0))))))
| ~ p(X0) ),
inference(resolution,[status(thm)],[f8,f5]) ).
fof(f14,plain,
! [X0] :
( ~ p(f(f(f(f(X0)))))
| ~ p(X0) ),
inference(resolution,[status(thm)],[f10,f5]) ).
fof(f17,plain,
! [X0] :
( p(X0)
| ~ p(f(f(f(X0)))) ),
inference(resolution,[status(thm)],[f14,f3]) ).
fof(f18,plain,
! [X0] :
( ~ p(f(f(f(X0))))
| ~ p(X0) ),
inference(resolution,[status(thm)],[f14,f5]) ).
fof(f21,plain,
! [X0] : p(X0),
inference(backward_subsumption_resolution,[status(thm)],[f3,f22]) ).
fof(f22,plain,
! [X0] : ~ p(f(f(f(X0)))),
inference(forward_subsumption_resolution,[status(thm)],[f18,f17]) ).
fof(f25,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f22,f21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN002-1.007.008 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n008.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 10:39:54 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.09/0.39 % Refutation found
% 0.09/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.09/0.42 % Elapsed time: 0.043032 seconds
% 0.09/0.42 % CPU time: 0.114666 seconds
% 0.09/0.42 % Total memory used: 16.556 MB
% 0.09/0.42 % Net memory used: 16.013 MB
%------------------------------------------------------------------------------