%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWC129-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : 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 02:40:05 PM UTC 2026
% Result : Unsatisfiable 0.11s 0.39s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of formulae : 20 ( 16 unt; 0 def)
% Number of atoms : 29 ( 7 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 20 ( 11 ~; 9 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 5 ( 5 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7,axiom,
cyclefreeP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
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(f187,negated_conjecture,
ssList(sk2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f190,negated_conjecture,
sk2 = sk4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f192,negated_conjecture,
~ neq(sk4,nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f193,negated_conjecture,
~ cyclefreeP(sk2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f200,plain,
cyclefreeP(nil),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f201,plain,
ssList(nil),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f296,plain,
! [X0,X1] :
( X1 = X0
| neq(X1,X0)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[status(thm)],[f100]) ).
fof(f425,plain,
ssList(sk2),
inference(cnf_transformation,[status(thm)],[f187]) ).
fof(f428,plain,
sk2 = sk4,
inference(cnf_transformation,[status(thm)],[f190]) ).
fof(f430,plain,
~ neq(sk4,nil),
inference(cnf_transformation,[status(thm)],[f192]) ).
fof(f431,plain,
~ cyclefreeP(sk2),
inference(cnf_transformation,[status(thm)],[f193]) ).
fof(f465,plain,
~ neq(sk2,nil),
inference(forward_demodulation,[status(thm)],[f428,f430]) ).
fof(f470,plain,
! [X0] :
( sk2 = X0
| neq(sk2,X0)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f296,f425]) ).
fof(f490,plain,
( sk2 = nil
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[f470,f465]) ).
fof(f493,plain,
sk2 = nil,
inference(forward_subsumption_resolution,[status(thm)],[f490,f201]) ).
fof(f509,plain,
cyclefreeP(sk2),
inference(backward_demodulation,[status(thm)],[f493,f200]) ).
fof(f511,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f509,f431]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC129-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.37 % Computer : n011.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 21 07:57:56 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.38 % Drodi V4.1.1
% 0.11/0.39 % Refutation found
% 0.11/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.11/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.11/0.42 % Elapsed time: 0.041182 seconds
% 0.11/0.42 % CPU time: 0.086733 seconds
% 0.11/0.42 % Total memory used: 13.610 MB
% 0.11/0.42 % Net memory used: 13.582 MB
%------------------------------------------------------------------------------