%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWC386-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n008.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 02:41:02 PM UTC 2026
% Result : Unsatisfiable 0.14s 5.41s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 12
% Syntax : Number of formulae : 46 ( 12 unt; 0 def)
% Number of atoms : 96 ( 43 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 93 ( 43 ~; 50 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 13 ( 13 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f71,axiom,
! [U] :
( ~ ssItem(U)
| ~ memberP(nil,U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f115,axiom,
! [U,V] :
( ~ ssList(U)
| ~ ssList(V)
| ~ neq(U,V)
| U != V ),
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,
( nil = sk4
| ssItem(sk5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f193,negated_conjecture,
( nil = sk3
| ssItem(sk5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f194,negated_conjecture,
( nil = sk4
| cons(sk5,nil) = sk3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f195,negated_conjecture,
( nil = sk4
| memberP(sk4,sk5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f197,negated_conjecture,
( nil = sk3
| memberP(sk4,sk5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f199,negated_conjecture,
! [A] :
( ~ memberP(sk2,A)
| cons(A,nil) != sk1
| ~ ssItem(A)
| nil = sk2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f200,negated_conjecture,
( neq(sk2,nil)
| nil != sk1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f209,plain,
ssList(nil),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f272,plain,
! [X0] :
( ~ ssItem(X0)
| ~ memberP(nil,X0) ),
inference(cnf_transformation,[status(thm)],[f71]) ).
fof(f322,plain,
! [U] :
( ~ ssList(U)
| ! [V] :
( ~ ssList(V)
| ~ neq(U,V)
| U != V ) ),
inference(miniscoping,[status(thm)],[f115]) ).
fof(f323,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ neq(X0,X1)
| X0 != X1 ),
inference(cnf_transformation,[status(thm)],[f322]) ).
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,
( nil = sk4
| ssItem(sk5) ),
inference(cnf_transformation,[status(thm)],[f192]) ).
fof(f439,plain,
( nil = sk3
| ssItem(sk5) ),
inference(cnf_transformation,[status(thm)],[f193]) ).
fof(f440,plain,
( nil = sk4
| cons(sk5,nil) = sk3 ),
inference(cnf_transformation,[status(thm)],[f194]) ).
fof(f441,plain,
( nil = sk4
| memberP(sk4,sk5) ),
inference(cnf_transformation,[status(thm)],[f195]) ).
fof(f443,plain,
( nil = sk3
| memberP(sk4,sk5) ),
inference(cnf_transformation,[status(thm)],[f197]) ).
fof(f445,plain,
! [X0] :
( ~ memberP(sk2,X0)
| cons(X0,nil) != sk1
| ~ ssItem(X0)
| nil = sk2 ),
inference(cnf_transformation,[status(thm)],[f199]) ).
fof(f446,plain,
( neq(sk2,nil)
| nil != sk1 ),
inference(cnf_transformation,[status(thm)],[f200]) ).
fof(f455,plain,
! [X1] :
( ~ ssList(X1)
| ~ ssList(X1)
| ~ neq(X1,X1) ),
inference(destructive_equality_resolution,[status(thm)],[f323]) ).
fof(f456,plain,
! [X0] :
( ~ ssList(X0)
| ~ neq(X0,X0) ),
inference(duplicate_literals_removal,[status(thm)],[f455]) ).
fof(f479,plain,
( nil = sk2
| ssItem(sk5) ),
inference(forward_demodulation,[status(thm)],[f436,f438]) ).
fof(f480,plain,
( nil = sk4
| memberP(sk2,sk5) ),
inference(forward_demodulation,[status(thm)],[f436,f441]) ).
fof(f481,plain,
( nil = sk2
| memberP(sk2,sk5) ),
inference(forward_demodulation,[status(thm)],[f436,f480]) ).
fof(f482,plain,
( nil = sk2
| cons(sk5,nil) = sk3 ),
inference(forward_demodulation,[status(thm)],[f436,f440]) ).
fof(f486,plain,
( nil = sk3
| memberP(sk2,sk5) ),
inference(forward_demodulation,[status(thm)],[f436,f443]) ).
fof(f487,plain,
( neq(sk2,nil)
| nil != sk3 ),
inference(forward_demodulation,[status(thm)],[f437,f446]) ).
fof(f506,plain,
! [X0] :
( ~ memberP(sk2,X0)
| cons(X0,nil) != sk3
| ~ ssItem(X0)
| nil = sk2 ),
inference(forward_demodulation,[status(thm)],[f437,f445]) ).
fof(f508,plain,
( nil = sk2
| ~ memberP(sk2,sk5)
| ~ ssItem(sk5)
| nil = sk2 ),
inference(resolution,[status(thm)],[f506,f482]) ).
fof(f512,plain,
( ~ memberP(sk2,sk5)
| ~ ssItem(sk5)
| nil = sk2 ),
inference(duplicate_literals_removal,[status(thm)],[f508]) ).
fof(f513,plain,
( ~ memberP(sk2,sk5)
| nil = sk2 ),
inference(forward_subsumption_resolution,[status(thm)],[f512,f479]) ).
fof(f521,plain,
( neq(nil,nil)
| nil != sk3 ),
inference(backward_demodulation,[status(thm)],[f529,f487]) ).
fof(f523,plain,
( nil = sk3
| memberP(nil,sk5) ),
inference(backward_demodulation,[status(thm)],[f529,f486]) ).
fof(f529,plain,
nil = sk2,
inference(forward_subsumption_resolution,[status(thm)],[f513,f481]) ).
fof(f531,plain,
( ~ ssList(nil)
| nil != sk3 ),
inference(resolution,[status(thm)],[f521,f456]) ).
fof(f532,plain,
nil != sk3,
inference(forward_subsumption_resolution,[status(thm)],[f531,f209]) ).
fof(f534,plain,
ssItem(sk5),
inference(backward_subsumption_resolution,[status(thm)],[f439,f532]) ).
fof(f541,plain,
memberP(nil,sk5),
inference(forward_subsumption_resolution,[status(thm)],[f523,f532]) ).
fof(f542,plain,
~ ssItem(sk5),
inference(resolution,[status(thm)],[f541,f272]) ).
fof(f543,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f542,f534]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC386-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/5.37 % Computer : n008.cluster.edu
% 0.09/5.37 % Model : x86_64 x86_64
% 0.09/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.37 % Memory : 8046.5625MB
% 0.09/5.37 % OS : Linux 6.8.0-71-generic
% 0.09/5.37 % CPULimit : 300
% 0.09/5.37 % WCLimit : 300
% 0.09/5.37 % DateTime : Mon Sep 21 08:21:02 UTC 2026
% 0.09/5.37 % CPUTime :
% 0.09/5.39 % Drodi V4.1.1
% 0.14/5.41 % Refutation found
% 0.14/5.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/5.41 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/5.43 % Elapsed time: 0.053610 seconds
% 0.14/5.43 % CPU time: 0.151225 seconds
% 0.14/5.43 % Total memory used: 78.525 MB
% 0.14/5.43 % Net memory used: 78.418 MB
%------------------------------------------------------------------------------