%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWC387-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n004.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 0.13s 5.60s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 11
% Syntax : Number of formulae : 35 ( 13 unt; 0 def)
% Number of atoms : 66 ( 29 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 71 ( 40 ~; 31 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 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 : 7 ( 7 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(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(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,
! [A] :
( ~ memberP(sk2,A)
| cons(A,nil) != sk1
| ~ ssItem(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f193,negated_conjecture,
( nil != sk4
| nil = sk3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f194,negated_conjecture,
( nil != sk1
| nil != sk2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f195,negated_conjecture,
( ~ neq(sk4,nil)
| ssItem(sk5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f196,negated_conjecture,
( ~ neq(sk4,nil)
| cons(sk5,nil) = sk3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f197,negated_conjecture,
( ~ neq(sk4,nil)
| memberP(sk4,sk5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f205,plain,
ssList(nil),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f300,plain,
! [X0,X1] :
( X1 = X0
| neq(X1,X0)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[status(thm)],[f100]) ).
fof(f431,plain,
ssList(sk4),
inference(cnf_transformation,[status(thm)],[f189]) ).
fof(f432,plain,
sk2 = sk4,
inference(cnf_transformation,[status(thm)],[f190]) ).
fof(f433,plain,
sk1 = sk3,
inference(cnf_transformation,[status(thm)],[f191]) ).
fof(f434,plain,
! [X0] :
( ~ memberP(sk2,X0)
| cons(X0,nil) != sk1
| ~ ssItem(X0) ),
inference(cnf_transformation,[status(thm)],[f192]) ).
fof(f435,plain,
( nil != sk4
| nil = sk3 ),
inference(cnf_transformation,[status(thm)],[f193]) ).
fof(f436,plain,
( nil != sk1
| nil != sk2 ),
inference(cnf_transformation,[status(thm)],[f194]) ).
fof(f437,plain,
( ~ neq(sk4,nil)
| ssItem(sk5) ),
inference(cnf_transformation,[status(thm)],[f195]) ).
fof(f438,plain,
( ~ neq(sk4,nil)
| cons(sk5,nil) = sk3 ),
inference(cnf_transformation,[status(thm)],[f196]) ).
fof(f439,plain,
( ~ neq(sk4,nil)
| memberP(sk4,sk5) ),
inference(cnf_transformation,[status(thm)],[f197]) ).
fof(f471,plain,
( nil != sk4
| nil = sk1 ),
inference(forward_demodulation,[status(thm)],[f433,f435]) ).
fof(f472,plain,
( nil != sk1
| nil != sk4 ),
inference(forward_demodulation,[status(thm)],[f432,f436]) ).
fof(f473,plain,
nil != sk4,
inference(forward_subsumption_resolution,[status(thm)],[f472,f471]) ).
fof(f474,plain,
! [X0] :
( ~ memberP(sk4,X0)
| cons(X0,nil) != sk1
| ~ ssItem(X0) ),
inference(forward_demodulation,[status(thm)],[f432,f434]) ).
fof(f488,plain,
( ~ neq(sk4,nil)
| cons(sk5,nil) = sk1 ),
inference(forward_demodulation,[status(thm)],[f433,f438]) ).
fof(f489,plain,
( ~ memberP(sk4,sk5)
| ~ ssItem(sk5)
| ~ neq(sk4,nil) ),
inference(resolution,[status(thm)],[f488,f474]) ).
fof(f490,plain,
( ~ memberP(sk4,sk5)
| ~ neq(sk4,nil) ),
inference(forward_subsumption_resolution,[status(thm)],[f489,f437]) ).
fof(f491,plain,
~ neq(sk4,nil),
inference(forward_subsumption_resolution,[status(thm)],[f490,f439]) ).
fof(f493,plain,
( sk4 = nil
| ~ ssList(sk4)
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[f491,f300]) ).
fof(f495,plain,
( sk4 = nil
| ~ ssList(sk4) ),
inference(forward_subsumption_resolution,[status(thm)],[f493,f205]) ).
fof(f500,plain,
nil != nil,
inference(backward_demodulation,[status(thm)],[f503,f473]) ).
fof(f503,plain,
sk4 = nil,
inference(forward_subsumption_resolution,[status(thm)],[f495,f431]) ).
fof(f505,plain,
$false,
inference(trivial_equality_resolution,[status(thm)],[f500]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC387-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/5.56 % Computer : n004.cluster.edu
% 0.09/5.56 % Model : x86_64 x86_64
% 0.09/5.56 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.56 % Memory : 8046.5625MB
% 0.09/5.56 % OS : Linux 6.8.0-71-generic
% 0.09/5.56 % CPULimit : 300
% 0.09/5.56 % WCLimit : 300
% 0.09/5.56 % DateTime : Mon Sep 21 08:20:40 UTC 2026
% 0.09/5.56 % CPUTime :
% 0.09/5.58 % Drodi V4.1.1
% 0.13/5.60 % Refutation found
% 0.13/5.60 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/5.60 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/5.62 % Elapsed time: 0.055297 seconds
% 0.13/5.62 % CPU time: 0.146591 seconds
% 0.13/5.62 % Total memory used: 74.856 MB
% 0.13/5.62 % Net memory used: 74.761 MB
%------------------------------------------------------------------------------