%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWC001-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n011.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 02:39:32 PM UTC 2026
% Result : Unsatisfiable 0.09s 15.47s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 8
% Syntax : Number of formulae : 33 ( 11 unt; 0 def)
% Number of atoms : 70 ( 4 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 74 ( 37 ~; 37 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 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 : 6 ( 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f190,negated_conjecture,
sk2 = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f191,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f192,negated_conjecture,
duplicatefreeP(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f193,negated_conjecture,
! [A] :
( ~ memberP(sk3,A)
| memberP(sk4,A)
| ~ ssItem(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f194,negated_conjecture,
! [A] :
( ~ memberP(sk4,A)
| memberP(sk3,A)
| ~ ssItem(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f195,negated_conjecture,
( ~ duplicatefreeP(sk1)
| ssItem(sk5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f196,negated_conjecture,
( ~ duplicatefreeP(sk1)
| memberP(sk1,sk5)
| memberP(sk2,sk5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f197,negated_conjecture,
( ~ duplicatefreeP(sk1)
| ~ memberP(sk1,sk5)
| ~ memberP(sk2,sk5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f432,plain,
sk2 = sk4,
inference(cnf_transformation,[status(thm)],[f190]) ).
fof(f433,plain,
sk1 = sk3,
inference(cnf_transformation,[status(thm)],[f191]) ).
fof(f434,plain,
duplicatefreeP(sk3),
inference(cnf_transformation,[status(thm)],[f192]) ).
fof(f435,plain,
! [X0] :
( ~ memberP(sk3,X0)
| memberP(sk4,X0)
| ~ ssItem(X0) ),
inference(cnf_transformation,[status(thm)],[f193]) ).
fof(f436,plain,
! [X0] :
( ~ memberP(sk4,X0)
| memberP(sk3,X0)
| ~ ssItem(X0) ),
inference(cnf_transformation,[status(thm)],[f194]) ).
fof(f437,plain,
( ~ duplicatefreeP(sk1)
| ssItem(sk5) ),
inference(cnf_transformation,[status(thm)],[f195]) ).
fof(f438,plain,
( ~ duplicatefreeP(sk1)
| memberP(sk1,sk5)
| memberP(sk2,sk5) ),
inference(cnf_transformation,[status(thm)],[f196]) ).
fof(f439,plain,
( ~ duplicatefreeP(sk1)
| ~ memberP(sk1,sk5)
| ~ memberP(sk2,sk5) ),
inference(cnf_transformation,[status(thm)],[f197]) ).
fof(f473,plain,
( ~ duplicatefreeP(sk3)
| ssItem(sk5) ),
inference(forward_demodulation,[status(thm)],[f433,f437]) ).
fof(f474,plain,
ssItem(sk5),
inference(forward_subsumption_resolution,[status(thm)],[f473,f434]) ).
fof(f476,plain,
! [X0] :
( ~ memberP(sk3,X0)
| memberP(sk2,X0)
| ~ ssItem(X0) ),
inference(forward_demodulation,[status(thm)],[f432,f435]) ).
fof(f480,plain,
! [X0] :
( ~ memberP(sk2,X0)
| memberP(sk3,X0)
| ~ ssItem(X0) ),
inference(forward_demodulation,[status(thm)],[f432,f436]) ).
fof(f481,plain,
( ~ duplicatefreeP(sk1)
| memberP(sk3,sk5)
| memberP(sk2,sk5) ),
inference(forward_demodulation,[status(thm)],[f433,f438]) ).
fof(f482,plain,
( ~ duplicatefreeP(sk3)
| memberP(sk3,sk5)
| memberP(sk2,sk5) ),
inference(forward_demodulation,[status(thm)],[f433,f481]) ).
fof(f483,plain,
( memberP(sk3,sk5)
| memberP(sk2,sk5) ),
inference(forward_subsumption_resolution,[status(thm)],[f482,f434]) ).
fof(f484,plain,
( memberP(sk2,sk5)
| ~ ssItem(sk5)
| memberP(sk2,sk5) ),
inference(resolution,[status(thm)],[f483,f476]) ).
fof(f485,plain,
( ~ ssItem(sk5)
| memberP(sk2,sk5) ),
inference(duplicate_literals_removal,[status(thm)],[f484]) ).
fof(f486,plain,
memberP(sk2,sk5),
inference(forward_subsumption_resolution,[status(thm)],[f485,f474]) ).
fof(f487,plain,
( ~ duplicatefreeP(sk1)
| ~ memberP(sk3,sk5)
| ~ memberP(sk2,sk5) ),
inference(forward_demodulation,[status(thm)],[f433,f439]) ).
fof(f488,plain,
( ~ duplicatefreeP(sk3)
| ~ memberP(sk3,sk5)
| ~ memberP(sk2,sk5) ),
inference(forward_demodulation,[status(thm)],[f433,f487]) ).
fof(f489,plain,
( ~ memberP(sk3,sk5)
| ~ memberP(sk2,sk5) ),
inference(forward_subsumption_resolution,[status(thm)],[f488,f434]) ).
fof(f490,plain,
~ memberP(sk3,sk5),
inference(backward_subsumption_resolution,[status(thm)],[f489,f486]) ).
fof(f491,plain,
( memberP(sk3,sk5)
| ~ ssItem(sk5) ),
inference(resolution,[status(thm)],[f486,f480]) ).
fof(f492,plain,
memberP(sk3,sk5),
inference(forward_subsumption_resolution,[status(thm)],[f491,f474]) ).
fof(f493,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f492,f490]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC001-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.34 % Computer : n011.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.09/15.43 % CPULimit : 300
% 0.09/15.43 % WCLimit : 300
% 0.09/15.43 % DateTime : Mon Sep 21 07:51:03 UTC 2026
% 0.09/15.44 % CPUTime :
% 0.09/15.45 % Drodi V4.1.1
% 0.09/15.47 % Refutation found
% 0.09/15.47 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/15.47 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.35/15.50 % Elapsed time: 0.061234 seconds
% 0.35/15.50 % CPU time: 0.142878 seconds
% 0.35/15.50 % Total memory used: 71.351 MB
% 0.35/15.50 % Net memory used: 71.269 MB
%------------------------------------------------------------------------------