%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWC019-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n026.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 02:39:37 PM UTC 2026
% Result : Unsatisfiable 0.13s 5.42s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 9
% Syntax : Number of formulae : 31 ( 15 unt; 0 def)
% Number of atoms : 65 ( 23 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 74 ( 40 ~; 34 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 13 ( 13 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f61,axiom,
! [U] :
( frontsegP(U,U)
| ~ ssList(U) ),
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,
sk4 = sk3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f193,negated_conjecture,
! [A] :
( ~ frontsegP(sk1,A)
| ~ frontsegP(sk2,A)
| ~ neq(A,nil)
| ~ ssList(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f194,negated_conjecture,
( nil != sk1
| nil != sk2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f202,plain,
ssList(nil),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f255,plain,
! [X0] :
( frontsegP(X0,X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[status(thm)],[f61]) ).
fof(f297,plain,
! [X0,X1] :
( X1 = X0
| neq(X1,X0)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[status(thm)],[f100]) ).
fof(f425,plain,
ssList(sk1),
inference(cnf_transformation,[status(thm)],[f186]) ).
fof(f429,plain,
sk2 = sk4,
inference(cnf_transformation,[status(thm)],[f190]) ).
fof(f430,plain,
sk1 = sk3,
inference(cnf_transformation,[status(thm)],[f191]) ).
fof(f431,plain,
sk4 = sk3,
inference(cnf_transformation,[status(thm)],[f192]) ).
fof(f432,plain,
! [X0] :
( ~ frontsegP(sk1,X0)
| ~ frontsegP(sk2,X0)
| ~ neq(X0,nil)
| ~ ssList(X0) ),
inference(cnf_transformation,[status(thm)],[f193]) ).
fof(f433,plain,
( nil != sk1
| nil != sk2 ),
inference(cnf_transformation,[status(thm)],[f194]) ).
fof(f465,plain,
sk2 = sk3,
inference(forward_demodulation,[status(thm)],[f429,f431]) ).
fof(f468,plain,
sk2 = sk1,
inference(forward_demodulation,[status(thm)],[f430,f465]) ).
fof(f469,plain,
( nil != sk1
| nil != sk1 ),
inference(forward_demodulation,[status(thm)],[f468,f433]) ).
fof(f470,plain,
nil != sk1,
inference(duplicate_literals_removal,[status(thm)],[f469]) ).
fof(f471,plain,
! [X0] :
( ~ frontsegP(sk1,X0)
| ~ frontsegP(sk1,X0)
| ~ neq(X0,nil)
| ~ ssList(X0) ),
inference(forward_demodulation,[status(thm)],[f468,f432]) ).
fof(f472,plain,
! [X0] :
( ~ frontsegP(sk1,X0)
| ~ neq(X0,nil)
| ~ ssList(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f471]) ).
fof(f475,plain,
! [X0] :
( ~ frontsegP(sk1,X0)
| ~ ssList(X0)
| X0 = nil
| ~ ssList(X0)
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[f297,f472]) ).
fof(f478,plain,
! [X0] :
( ~ frontsegP(sk1,X0)
| X0 = nil
| ~ ssList(X0)
| ~ ssList(nil) ),
inference(duplicate_literals_removal,[status(thm)],[f475]) ).
fof(f479,plain,
! [X0] :
( ~ frontsegP(sk1,X0)
| X0 = nil
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f478,f202]) ).
fof(f481,plain,
( ~ ssList(sk1)
| sk1 = nil
| ~ ssList(sk1) ),
inference(resolution,[status(thm)],[f479,f255]) ).
fof(f482,plain,
( sk1 = nil
| ~ ssList(sk1) ),
inference(duplicate_literals_removal,[status(thm)],[f481]) ).
fof(f483,plain,
sk1 = nil,
inference(forward_subsumption_resolution,[status(thm)],[f482,f425]) ).
fof(f484,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f483,f470]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC019-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/5.37 % Computer : n026.cluster.edu
% 0.10/5.37 % Model : x86_64 x86_64
% 0.10/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.37 % Memory : 8046.5625MB
% 0.10/5.37 % OS : Linux 6.8.0-71-generic
% 0.10/5.37 % CPULimit : 300
% 0.10/5.37 % WCLimit : 300
% 0.10/5.37 % DateTime : Mon Sep 21 07:52:27 UTC 2026
% 0.10/5.38 % CPUTime :
% 0.10/5.39 % Drodi V4.1.1
% 0.13/5.42 % Refutation found
% 0.13/5.42 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/5.42 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/5.45 % Elapsed time: 0.058327 seconds
% 0.13/5.45 % CPU time: 0.170490 seconds
% 0.13/5.45 % Total memory used: 108.420 MB
% 0.13/5.45 % Net memory used: 108.247 MB
%------------------------------------------------------------------------------