%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWC398-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n016.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 02:41:05 PM UTC 2026
% Result : Unsatisfiable 0.11s 15.59s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 9
% Syntax : Number of formulae : 26 ( 20 unt; 0 def)
% Number of atoms : 44 ( 6 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 41 ( 23 ~; 18 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 9 ( 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f140,axiom,
! [U,V,W] :
( memberP(app(U,W),V)
| ~ ssItem(V)
| ~ ssList(U)
| ~ ssList(W)
| ~ memberP(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f188,negated_conjecture,
ssList(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
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,
ssList(sk5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f193,negated_conjecture,
app(sk3,sk5) = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f196,negated_conjecture,
ssItem(sk6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f197,negated_conjecture,
memberP(sk1,sk6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f198,negated_conjecture,
~ memberP(sk2,sk6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f354,plain,
! [X0,X1,X2] :
( memberP(app(X0,X2),X1)
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssList(X2)
| ~ memberP(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f140]) ).
fof(f432,plain,
ssList(sk3),
inference(cnf_transformation,[status(thm)],[f188]) ).
fof(f434,plain,
sk2 = sk4,
inference(cnf_transformation,[status(thm)],[f190]) ).
fof(f435,plain,
sk1 = sk3,
inference(cnf_transformation,[status(thm)],[f191]) ).
fof(f436,plain,
ssList(sk5),
inference(cnf_transformation,[status(thm)],[f192]) ).
fof(f437,plain,
app(sk3,sk5) = sk4,
inference(cnf_transformation,[status(thm)],[f193]) ).
fof(f441,plain,
ssItem(sk6),
inference(cnf_transformation,[status(thm)],[f196]) ).
fof(f442,plain,
memberP(sk1,sk6),
inference(cnf_transformation,[status(thm)],[f197]) ).
fof(f443,plain,
~ memberP(sk2,sk6),
inference(cnf_transformation,[status(thm)],[f198]) ).
fof(f476,plain,
memberP(sk3,sk6),
inference(forward_demodulation,[status(thm)],[f435,f442]) ).
fof(f477,plain,
~ memberP(sk4,sk6),
inference(forward_demodulation,[status(thm)],[f434,f443]) ).
fof(f502,plain,
! [X0] :
( memberP(sk4,X0)
| ~ ssItem(X0)
| ~ ssList(sk3)
| ~ ssList(sk5)
| ~ memberP(sk3,X0) ),
inference(paramodulation,[status(thm)],[f437,f354]) ).
fof(f503,plain,
! [X0] :
( memberP(sk4,X0)
| ~ ssItem(X0)
| ~ ssList(sk3)
| ~ memberP(sk3,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f502,f436]) ).
fof(f504,plain,
! [X0] :
( memberP(sk4,X0)
| ~ ssItem(X0)
| ~ memberP(sk3,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f503,f432]) ).
fof(f505,plain,
( ~ ssItem(sk6)
| ~ memberP(sk3,sk6) ),
inference(resolution,[status(thm)],[f504,f477]) ).
fof(f506,plain,
~ ssItem(sk6),
inference(forward_subsumption_resolution,[status(thm)],[f505,f476]) ).
fof(f507,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f506,f441]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC398-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/15.55 % Computer : n016.cluster.edu
% 0.11/15.55 % Model : x86_64 x86_64
% 0.11/15.55 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/15.55 % Memory : 8046.5625MB
% 0.11/15.55 % OS : Linux 6.8.0-71-generic
% 0.11/15.55 % CPULimit : 300
% 0.11/15.55 % WCLimit : 300
% 0.11/15.55 % DateTime : Mon Sep 21 08:26:55 UTC 2026
% 0.11/15.55 % CPUTime :
% 0.11/15.57 % Drodi V4.1.1
% 0.11/15.59 % Refutation found
% 0.11/15.59 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.11/15.59 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/15.61 % Elapsed time: 0.051163 seconds
% 0.15/15.61 % CPU time: 0.139150 seconds
% 0.15/15.61 % Total memory used: 75.049 MB
% 0.15/15.61 % Net memory used: 74.948 MB
%------------------------------------------------------------------------------