%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : ALG200+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n013.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 11:48:53 AM UTC 2026
% Result : Theorem 0.11s 0.42s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 1
% Syntax : Number of formulae : 18 ( 8 unt; 0 def)
% Number of atoms : 106 ( 105 equ)
% Maximal formula atoms : 21 ( 5 avg)
% Number of connectives : 161 ( 73 ~; 72 |; 16 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 7 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7,conjecture,
~ ( ( op(e6,e6) != e6
| op(e5,e5) != e5
| op(e4,e4) != e4
| op(e3,e3) != e3
| op(e2,e2) != e2
| op(e1,e1) != e1
| op(e0,e0) != e0 )
& ( op(e6,e6) = e6
| op(e5,e5) = e5
| op(e4,e4) = e4
| op(e3,e3) = e3
| op(e2,e2) = e2
| op(e1,e1) = e1
| op(e0,e0) = e0 )
& op(e6,e6) = e6
& op(e5,e5) = e5
& op(e4,e4) = e4
& op(e3,e3) = e3
& op(e2,e2) = e2
& op(e1,e1) = e1
& op(e0,e0) = e0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
~ ~ ( ( op(e6,e6) != e6
| op(e5,e5) != e5
| op(e4,e4) != e4
| op(e3,e3) != e3
| op(e2,e2) != e2
| op(e1,e1) != e1
| op(e0,e0) != e0 )
& ( op(e6,e6) = e6
| op(e5,e5) = e5
| op(e4,e4) = e4
| op(e3,e3) = e3
| op(e2,e2) = e2
| op(e1,e1) = e1
| op(e0,e0) = e0 )
& op(e6,e6) = e6
& op(e5,e5) = e5
& op(e4,e4) = e4
& op(e3,e3) = e3
& op(e2,e2) = e2
& op(e1,e1) = e1
& op(e0,e0) = e0 ),
inference(negated_conjecture,[status(cth)],[f7]) ).
fof(f525,plain,
op(e0,e0) = e0,
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f526,plain,
op(e1,e1) = e1,
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f527,plain,
op(e2,e2) = e2,
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f528,plain,
op(e3,e3) = e3,
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f529,plain,
op(e4,e4) = e4,
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f530,plain,
op(e5,e5) = e5,
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f531,plain,
op(e6,e6) = e6,
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f533,plain,
( op(e6,e6) != e6
| op(e5,e5) != e5
| op(e4,e4) != e4
| op(e3,e3) != e3
| op(e2,e2) != e2
| op(e1,e1) != e1
| op(e0,e0) != e0 ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f583,plain,
( op(e6,e6) != e6
| op(e5,e5) != e5
| op(e4,e4) != e4
| op(e3,e3) != e3
| op(e2,e2) != e2
| op(e1,e1) != e1
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f525,f533]) ).
fof(f584,plain,
( op(e6,e6) != e6
| op(e5,e5) != e5
| op(e4,e4) != e4
| op(e3,e3) != e3
| op(e2,e2) != e2
| e1 != e1
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f526,f583]) ).
fof(f585,plain,
( op(e6,e6) != e6
| op(e5,e5) != e5
| op(e4,e4) != e4
| op(e3,e3) != e3
| e2 != e2
| e1 != e1
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f527,f584]) ).
fof(f586,plain,
( op(e6,e6) != e6
| op(e5,e5) != e5
| op(e4,e4) != e4
| e3 != e3
| e2 != e2
| e1 != e1
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f528,f585]) ).
fof(f587,plain,
( op(e6,e6) != e6
| op(e5,e5) != e5
| e4 != e4
| e3 != e3
| e2 != e2
| e1 != e1
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f529,f586]) ).
fof(f588,plain,
( op(e6,e6) != e6
| e5 != e5
| e4 != e4
| e3 != e3
| e2 != e2
| e1 != e1
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f530,f587]) ).
fof(f589,plain,
( e6 != e6
| e5 != e5
| e4 != e4
| e3 != e3
| e2 != e2
| e1 != e1
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f531,f588]) ).
fof(f590,plain,
$false,
inference(trivial_equality_resolution,[status(thm)],[f589]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG200+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.37 % Computer : n013.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 21 13:00:51 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.40 % Drodi V4.1.1
% 0.11/0.42 % Refutation found
% 0.11/0.42 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.11/0.42 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.11/0.46 % Elapsed time: 0.079267 seconds
% 0.11/0.46 % CPU time: 0.205483 seconds
% 0.11/0.46 % Total memory used: 63.486 MB
% 0.11/0.46 % Net memory used: 63.449 MB
%------------------------------------------------------------------------------