%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWC029-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n005.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 02:39:40 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.39s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 14
% Syntax : Number of formulae : 49 ( 14 unt; 0 def)
% Number of atoms : 108 ( 49 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 124 ( 65 ~; 59 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 20 ( 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f86,axiom,
! [U,V] :
( ssList(cons(U,V))
| ~ ssList(V)
| ~ ssItem(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f98,axiom,
! [U,V] :
( ~ ssList(V)
| ~ ssItem(U)
| cons(U,V) != nil ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f100,axiom,
! [U,V] :
( V = U
| neq(V,U)
| ~ ssList(V)
| ~ ssList(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f119,axiom,
! [U,V] :
( nil = V
| ~ ssList(U)
| ~ ssList(V)
| app(U,V) != nil ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f189,negated_conjecture,
ssList(sk4),
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,
( nil != sk4
| nil = sk3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f193,negated_conjecture,
( ~ neq(sk4,nil)
| ssItem(sk5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f194,negated_conjecture,
( ~ neq(sk4,nil)
| ssList(sk6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f196,negated_conjecture,
( ~ neq(sk4,nil)
| app(sk6,cons(sk5,nil)) = sk3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f197,negated_conjecture,
( nil = sk1
| nil = sk2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f200,negated_conjecture,
( nil != sk2
| nil != sk1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f208,plain,
ssList(nil),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f287,plain,
! [X0,X1] :
( ssList(cons(X0,X1))
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[status(thm)],[f86]) ).
fof(f299,plain,
! [V] :
( ~ ssList(V)
| ! [U] :
( ~ ssItem(U)
| cons(U,V) != nil ) ),
inference(miniscoping,[status(thm)],[f98]) ).
fof(f300,plain,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssItem(X0)
| cons(X0,X1) != nil ),
inference(cnf_transformation,[status(thm)],[f299]) ).
fof(f303,plain,
! [X0,X1] :
( X1 = X0
| neq(X1,X0)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[status(thm)],[f100]) ).
fof(f329,plain,
! [V] :
( nil = V
| ! [U] :
( ~ ssList(U)
| ~ ssList(V)
| app(U,V) != nil ) ),
inference(miniscoping,[status(thm)],[f119]) ).
fof(f330,plain,
! [X0,X1] :
( nil = X1
| ~ ssList(X0)
| ~ ssList(X1)
| app(X0,X1) != nil ),
inference(cnf_transformation,[status(thm)],[f329]) ).
fof(f434,plain,
ssList(sk4),
inference(cnf_transformation,[status(thm)],[f189]) ).
fof(f435,plain,
sk2 = sk4,
inference(cnf_transformation,[status(thm)],[f190]) ).
fof(f436,plain,
sk1 = sk3,
inference(cnf_transformation,[status(thm)],[f191]) ).
fof(f437,plain,
( nil != sk4
| nil = sk3 ),
inference(cnf_transformation,[status(thm)],[f192]) ).
fof(f438,plain,
( ~ neq(sk4,nil)
| ssItem(sk5) ),
inference(cnf_transformation,[status(thm)],[f193]) ).
fof(f439,plain,
( ~ neq(sk4,nil)
| ssList(sk6) ),
inference(cnf_transformation,[status(thm)],[f194]) ).
fof(f441,plain,
( ~ neq(sk4,nil)
| app(sk6,cons(sk5,nil)) = sk3 ),
inference(cnf_transformation,[status(thm)],[f196]) ).
fof(f442,plain,
( nil = sk1
| nil = sk2 ),
inference(cnf_transformation,[status(thm)],[f197]) ).
fof(f445,plain,
( nil != sk2
| nil != sk1 ),
inference(cnf_transformation,[status(thm)],[f200]) ).
fof(f477,plain,
( nil != sk4
| nil = sk1 ),
inference(forward_demodulation,[status(thm)],[f436,f437]) ).
fof(f478,plain,
( nil = sk1
| nil = sk4 ),
inference(forward_demodulation,[status(thm)],[f435,f442]) ).
fof(f480,plain,
nil = sk3,
inference(backward_demodulation,[status(thm)],[f482,f436]) ).
fof(f482,plain,
nil = sk1,
inference(forward_subsumption_resolution,[status(thm)],[f478,f477]) ).
fof(f483,plain,
( nil != sk2
| nil != nil ),
inference(forward_demodulation,[status(thm)],[f482,f445]) ).
fof(f484,plain,
( nil != sk4
| nil != nil ),
inference(forward_demodulation,[status(thm)],[f435,f483]) ).
fof(f485,plain,
nil != sk4,
inference(trivial_equality_resolution,[status(thm)],[f484]) ).
fof(f504,plain,
( ~ neq(sk4,nil)
| app(sk6,cons(sk5,nil)) = nil ),
inference(forward_demodulation,[status(thm)],[f480,f441]) ).
fof(f505,plain,
( nil = cons(sk5,nil)
| ~ ssList(sk6)
| ~ ssList(cons(sk5,nil))
| ~ neq(sk4,nil) ),
inference(resolution,[status(thm)],[f504,f330]) ).
fof(f507,plain,
( nil = cons(sk5,nil)
| ~ ssList(cons(sk5,nil))
| ~ neq(sk4,nil) ),
inference(forward_subsumption_resolution,[status(thm)],[f505,f439]) ).
fof(f528,plain,
( ~ ssList(nil)
| ~ ssItem(sk5)
| nil = cons(sk5,nil)
| ~ neq(sk4,nil) ),
inference(resolution,[status(thm)],[f507,f287]) ).
fof(f529,plain,
( ~ ssList(nil)
| ~ ssItem(sk5)
| ~ neq(sk4,nil) ),
inference(forward_subsumption_resolution,[status(thm)],[f528,f300]) ).
fof(f530,plain,
( ~ ssList(nil)
| ~ neq(sk4,nil) ),
inference(forward_subsumption_resolution,[status(thm)],[f529,f438]) ).
fof(f532,plain,
( sk4 = nil
| ~ ssList(sk4)
| ~ ssList(nil)
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[f530,f303]) ).
fof(f534,plain,
( sk4 = nil
| ~ ssList(sk4)
| ~ ssList(nil) ),
inference(duplicate_literals_removal,[status(thm)],[f532]) ).
fof(f535,plain,
( sk4 = nil
| ~ ssList(sk4) ),
inference(forward_subsumption_resolution,[status(thm)],[f534,f208]) ).
fof(f549,plain,
nil != nil,
inference(backward_demodulation,[status(thm)],[f552,f485]) ).
fof(f552,plain,
sk4 = nil,
inference(forward_subsumption_resolution,[status(thm)],[f535,f434]) ).
fof(f557,plain,
$false,
inference(trivial_equality_resolution,[status(thm)],[f549]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC029-1 : 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 : n005.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 07:50:04 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.38 % Drodi V4.1.1
% 0.14/0.39 % Refutation found
% 0.14/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.42 % Elapsed time: 0.052761 seconds
% 0.14/0.42 % CPU time: 0.146391 seconds
% 0.14/0.42 % Total memory used: 71.456 MB
% 0.14/0.42 % Net memory used: 71.340 MB
%------------------------------------------------------------------------------