%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWC205-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n015.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 02:40:23 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.38s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of formulae : 28 ( 18 unt; 0 def)
% Number of atoms : 43 ( 22 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 31 ( 16 ~; 15 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 4 ( 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f100,axiom,
! [U,V] :
( V = U
| neq(V,U)
| ~ ssList(V)
| ~ ssList(U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f186,negated_conjecture,
ssList(sk1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f190,negated_conjecture,
sk2 = sk4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f191,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f192,negated_conjecture,
neq(sk2,nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f193,negated_conjecture,
~ neq(sk1,nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f194,negated_conjecture,
( nil != sk3
| nil = sk4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f203,plain,
ssList(nil),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f298,plain,
! [X0,X1] :
( X1 = X0
| neq(X1,X0)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[status(thm)],[f100]) ).
fof(f426,plain,
ssList(sk1),
inference(cnf_transformation,[status(thm)],[f186]) ).
fof(f430,plain,
sk2 = sk4,
inference(cnf_transformation,[status(thm)],[f190]) ).
fof(f431,plain,
sk1 = sk3,
inference(cnf_transformation,[status(thm)],[f191]) ).
fof(f432,plain,
neq(sk2,nil),
inference(cnf_transformation,[status(thm)],[f192]) ).
fof(f433,plain,
~ neq(sk1,nil),
inference(cnf_transformation,[status(thm)],[f193]) ).
fof(f434,plain,
( nil != sk3
| nil = sk4 ),
inference(cnf_transformation,[status(thm)],[f194]) ).
fof(f469,plain,
( sk1 = nil
| ~ ssList(sk1)
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[f433,f298]) ).
fof(f470,plain,
( sk1 = nil
| ~ ssList(sk1) ),
inference(forward_subsumption_resolution,[status(thm)],[f469,f203]) ).
fof(f471,plain,
( nil != sk3
| nil = sk2 ),
inference(forward_demodulation,[status(thm)],[f430,f434]) ).
fof(f472,plain,
( nil != sk1
| nil = sk2 ),
inference(forward_demodulation,[status(thm)],[f431,f471]) ).
fof(f478,plain,
( sk1 != sk1
| nil = sk2 ),
inference(backward_demodulation,[status(thm)],[f490,f472]) ).
fof(f479,plain,
~ neq(sk1,sk1),
inference(backward_demodulation,[status(thm)],[f490,f433]) ).
fof(f480,plain,
neq(sk2,sk1),
inference(backward_demodulation,[status(thm)],[f490,f432]) ).
fof(f490,plain,
sk1 = nil,
inference(forward_subsumption_resolution,[status(thm)],[f470,f426]) ).
fof(f491,plain,
( sk1 != sk1
| sk1 = sk2 ),
inference(forward_demodulation,[status(thm)],[f490,f478]) ).
fof(f492,plain,
sk1 = sk2,
inference(trivial_equality_resolution,[status(thm)],[f491]) ).
fof(f500,plain,
neq(sk1,sk1),
inference(forward_demodulation,[status(thm)],[f492,f480]) ).
fof(f501,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f500,f479]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC205-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n015.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 08:08:20 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.14/0.38 % Drodi V4.1.1
% 0.14/0.38 % Refutation found
% 0.14/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.41 % Elapsed time: 0.043753 seconds
% 0.14/0.41 % CPU time: 0.080704 seconds
% 0.14/0.41 % Total memory used: 10.215 MB
% 0.14/0.41 % Net memory used: 10.199 MB
%------------------------------------------------------------------------------