%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : ALG199+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n009.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 0.15s 0.41s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 3
% Syntax : Number of formulae : 21 ( 10 unt; 0 def)
% Number of atoms : 110 ( 109 equ)
% Maximal formula atoms : 21 ( 5 avg)
% Number of connectives : 148 ( 59 ~; 48 |; 41 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 5 avg)
% Maximal term depth : 6 ( 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(f5,axiom,
( e5 != e6
& e4 != e6
& e4 != e5
& e3 != e6
& e3 != e5
& e3 != e4
& e2 != e6
& e2 != e5
& e2 != e4
& e2 != e3
& e1 != e6
& e1 != e5
& e1 != e4
& e1 != e3
& e1 != e2
& e0 != e6
& e0 != e5
& e0 != e4
& e0 != e3
& e0 != e2
& e0 != e1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
( e6 = op(op(op(op(e5,op(e5,e5)),op(e5,op(e5,e5))),e5),op(e5,op(e5,e5)))
& e4 = op(e5,op(e5,e5))
& e3 = op(op(op(e5,op(e5,e5)),op(e5,op(e5,e5))),e5)
& e2 = op(op(e5,op(e5,e5)),op(e5,op(e5,e5)))
& e1 = op(e5,e5)
& e0 = op(op(op(e5,op(e5,e5)),op(e5,op(e5,e5))),op(e5,op(e5,e5))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
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/sandbox2/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(f508,plain,
e1 != e5,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f521,plain,
e1 = op(e5,e5),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f526,plain,
op(e0,e0) != e0,
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f527,plain,
op(e1,e1) != e1,
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f528,plain,
op(e2,e2) != e2,
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f529,plain,
op(e3,e3) != e3,
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f530,plain,
op(e4,e4) != e4,
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f532,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(f597,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 ),
inference(forward_subsumption_resolution,[status(thm)],[f533,f526]) ).
fof(f598,plain,
( op(e6,e6) = e6
| op(e5,e5) = e5
| op(e4,e4) = e4
| op(e2,e2) = e2
| op(e1,e1) = e1 ),
inference(resolution,[status(thm)],[f597,f529]) ).
fof(f600,plain,
( op(e6,e6) = e6
| op(e5,e5) = e5
| op(e4,e4) = e4
| op(e2,e2) = e2 ),
inference(forward_subsumption_resolution,[status(thm)],[f598,f527]) ).
fof(f639,plain,
( op(e6,e6) = e6
| e1 = e5
| op(e4,e4) = e4
| op(e2,e2) = e2 ),
inference(forward_demodulation,[status(thm)],[f521,f600]) ).
fof(f640,plain,
( op(e6,e6) = e6
| e1 = e5
| op(e4,e4) = e4 ),
inference(forward_subsumption_resolution,[status(thm)],[f639,f528]) ).
fof(f641,plain,
( op(e6,e6) = e6
| e1 = e5 ),
inference(resolution,[status(thm)],[f640,f530]) ).
fof(f643,plain,
op(e6,e6) = e6,
inference(forward_subsumption_resolution,[status(thm)],[f641,f508]) ).
fof(f646,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f643,f532]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG199+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n009.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 13:01:13 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.15/0.39 % Drodi V4.1.1
% 0.15/0.41 % Refutation found
% 0.15/0.41 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/0.41 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/0.43 % Elapsed time: 0.060918 seconds
% 0.15/0.43 % CPU time: 0.124958 seconds
% 0.15/0.43 % Total memory used: 28.579 MB
% 0.15/0.43 % Net memory used: 28.565 MB
%------------------------------------------------------------------------------