%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWC381-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n018.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 02:41:01 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.40s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of formulae : 29 ( 10 unt; 0 def)
% Number of atoms : 57 ( 14 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 61 ( 33 ~; 28 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 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 : 5 ( 5 !; 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,
( neq(sk2,nil)
| neq(sk2,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f198,negated_conjecture,
! [A] :
( ~ neq(sk4,nil)
| ~ memberP(sk2,A)
| cons(A,nil) != sk1
| ~ ssItem(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f199,negated_conjecture,
( ~ neq(sk4,nil)
| ssItem(sk5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f200,negated_conjecture,
( ~ neq(sk4,nil)
| cons(sk5,nil) = sk3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f201,negated_conjecture,
( ~ neq(sk4,nil)
| memberP(sk4,sk5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f436,plain,
sk2 = sk4,
inference(cnf_transformation,[status(thm)],[f190]) ).
fof(f437,plain,
sk1 = sk3,
inference(cnf_transformation,[status(thm)],[f191]) ).
fof(f438,plain,
( neq(sk2,nil)
| neq(sk2,nil) ),
inference(cnf_transformation,[status(thm)],[f192]) ).
fof(f445,plain,
( ~ neq(sk4,nil)
| ! [A] :
( ~ memberP(sk2,A)
| cons(A,nil) != sk1
| ~ ssItem(A) ) ),
inference(miniscoping,[status(thm)],[f198]) ).
fof(f446,plain,
! [X0] :
( ~ neq(sk4,nil)
| ~ memberP(sk2,X0)
| cons(X0,nil) != sk1
| ~ ssItem(X0) ),
inference(cnf_transformation,[status(thm)],[f445]) ).
fof(f447,plain,
( ~ neq(sk4,nil)
| ssItem(sk5) ),
inference(cnf_transformation,[status(thm)],[f199]) ).
fof(f448,plain,
( ~ neq(sk4,nil)
| cons(sk5,nil) = sk3 ),
inference(cnf_transformation,[status(thm)],[f200]) ).
fof(f449,plain,
( ~ neq(sk4,nil)
| memberP(sk4,sk5) ),
inference(cnf_transformation,[status(thm)],[f201]) ).
fof(f479,plain,
neq(sk2,nil),
inference(duplicate_literals_removal,[status(thm)],[f438]) ).
fof(f482,plain,
( ~ neq(sk2,nil)
| ssItem(sk5) ),
inference(forward_demodulation,[status(thm)],[f436,f447]) ).
fof(f483,plain,
ssItem(sk5),
inference(forward_subsumption_resolution,[status(thm)],[f482,f479]) ).
fof(f489,plain,
( ~ neq(sk4,nil)
| memberP(sk2,sk5) ),
inference(forward_demodulation,[status(thm)],[f436,f449]) ).
fof(f490,plain,
( ~ neq(sk2,nil)
| memberP(sk2,sk5) ),
inference(forward_demodulation,[status(thm)],[f436,f489]) ).
fof(f491,plain,
memberP(sk2,sk5),
inference(forward_subsumption_resolution,[status(thm)],[f490,f479]) ).
fof(f493,plain,
( ~ neq(sk4,nil)
| cons(sk5,nil) = sk1 ),
inference(forward_demodulation,[status(thm)],[f437,f448]) ).
fof(f494,plain,
( ~ neq(sk2,nil)
| cons(sk5,nil) = sk1 ),
inference(forward_demodulation,[status(thm)],[f436,f493]) ).
fof(f495,plain,
cons(sk5,nil) = sk1,
inference(forward_subsumption_resolution,[status(thm)],[f494,f479]) ).
fof(f505,plain,
! [X0] :
( ~ neq(sk2,nil)
| ~ memberP(sk2,X0)
| cons(X0,nil) != sk1
| ~ ssItem(X0) ),
inference(forward_demodulation,[status(thm)],[f436,f446]) ).
fof(f506,plain,
! [X0] :
( ~ memberP(sk2,X0)
| cons(X0,nil) != sk1
| ~ ssItem(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f505,f479]) ).
fof(f507,plain,
( ~ memberP(sk2,sk5)
| ~ ssItem(sk5) ),
inference(resolution,[status(thm)],[f506,f495]) ).
fof(f509,plain,
~ memberP(sk2,sk5),
inference(forward_subsumption_resolution,[status(thm)],[f507,f483]) ).
fof(f512,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f509,f491]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC381-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n018.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 08:21:58 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.38 % Drodi V4.1.1
% 0.14/0.40 % Refutation found
% 0.14/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.43 % Elapsed time: 0.064872 seconds
% 0.14/0.43 % CPU time: 0.166083 seconds
% 0.14/0.43 % Total memory used: 108.630 MB
% 0.14/0.43 % Net memory used: 108.493 MB
%------------------------------------------------------------------------------