%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWC023-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n020.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 02:39:38 PM UTC 2026
% Result : Unsatisfiable 0.12s 5.41s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 12
% Syntax : Number of formulae : 38 ( 16 unt; 0 def)
% Number of atoms : 72 ( 16 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 70 ( 36 ~; 34 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 8 ( 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f60,axiom,
! [U] :
( frontsegP(U,nil)
| ~ ssList(U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f61,axiom,
! [U] :
( frontsegP(U,U)
| ~ ssList(U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f188,negated_conjecture,
ssList(sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f189,negated_conjecture,
ssList(sk4),
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,
neq(sk2,nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f193,negated_conjecture,
! [A] :
( ~ frontsegP(sk1,A)
| ~ frontsegP(sk2,A)
| ~ neq(A,nil)
| ~ ssList(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f194,negated_conjecture,
( nil = sk4
| ssList(sk5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f196,negated_conjecture,
( nil = sk4
| neq(sk5,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f197,negated_conjecture,
( nil = sk4
| frontsegP(sk4,sk5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f198,negated_conjecture,
( nil = sk4
| frontsegP(sk3,sk5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f261,plain,
! [X0] :
( frontsegP(X0,nil)
| ~ ssList(X0) ),
inference(cnf_transformation,[status(thm)],[f60]) ).
fof(f262,plain,
! [X0] :
( frontsegP(X0,X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[status(thm)],[f61]) ).
fof(f434,plain,
ssList(sk3),
inference(cnf_transformation,[status(thm)],[f188]) ).
fof(f435,plain,
ssList(sk4),
inference(cnf_transformation,[status(thm)],[f189]) ).
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),
inference(cnf_transformation,[status(thm)],[f192]) ).
fof(f439,plain,
! [X0] :
( ~ frontsegP(sk1,X0)
| ~ frontsegP(sk2,X0)
| ~ neq(X0,nil)
| ~ ssList(X0) ),
inference(cnf_transformation,[status(thm)],[f193]) ).
fof(f440,plain,
( nil = sk4
| ssList(sk5) ),
inference(cnf_transformation,[status(thm)],[f194]) ).
fof(f442,plain,
( nil = sk4
| neq(sk5,nil) ),
inference(cnf_transformation,[status(thm)],[f196]) ).
fof(f443,plain,
( nil = sk4
| frontsegP(sk4,sk5) ),
inference(cnf_transformation,[status(thm)],[f197]) ).
fof(f444,plain,
( nil = sk4
| frontsegP(sk3,sk5) ),
inference(cnf_transformation,[status(thm)],[f198]) ).
fof(f479,plain,
neq(sk4,nil),
inference(forward_demodulation,[status(thm)],[f436,f438]) ).
fof(f480,plain,
! [X0] :
( ~ frontsegP(sk1,X0)
| ~ frontsegP(sk4,X0)
| ~ neq(X0,nil)
| ~ ssList(X0) ),
inference(forward_demodulation,[status(thm)],[f436,f439]) ).
fof(f481,plain,
! [X0] :
( ~ frontsegP(sk3,X0)
| ~ frontsegP(sk4,X0)
| ~ neq(X0,nil)
| ~ ssList(X0) ),
inference(forward_demodulation,[status(thm)],[f437,f480]) ).
fof(f482,plain,
( nil = sk4
| ~ frontsegP(sk3,sk5)
| ~ frontsegP(sk4,sk5)
| ~ ssList(sk5) ),
inference(resolution,[status(thm)],[f481,f442]) ).
fof(f483,plain,
( ~ frontsegP(sk3,sk4)
| ~ frontsegP(sk4,sk4)
| ~ ssList(sk4) ),
inference(resolution,[status(thm)],[f481,f479]) ).
fof(f484,plain,
( nil = sk4
| ~ frontsegP(sk3,sk5)
| ~ frontsegP(sk4,sk5) ),
inference(forward_subsumption_resolution,[status(thm)],[f482,f440]) ).
fof(f485,plain,
( ~ frontsegP(sk3,sk4)
| ~ frontsegP(sk4,sk4) ),
inference(forward_subsumption_resolution,[status(thm)],[f483,f435]) ).
fof(f495,plain,
( ~ ssList(sk4)
| ~ frontsegP(sk3,sk4) ),
inference(resolution,[status(thm)],[f485,f262]) ).
fof(f496,plain,
~ frontsegP(sk3,sk4),
inference(forward_subsumption_resolution,[status(thm)],[f495,f435]) ).
fof(f497,plain,
nil = sk4,
inference(backward_subsumption_resolution,[status(thm)],[f444,f498]) ).
fof(f498,plain,
( nil = sk4
| ~ frontsegP(sk3,sk5) ),
inference(forward_subsumption_resolution,[status(thm)],[f484,f443]) ).
fof(f501,plain,
~ frontsegP(sk3,nil),
inference(backward_demodulation,[status(thm)],[f497,f496]) ).
fof(f510,plain,
~ ssList(sk3),
inference(resolution,[status(thm)],[f501,f261]) ).
fof(f511,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f510,f434]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC023-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/5.36 % Computer : n020.cluster.edu
% 0.09/5.36 % Model : x86_64 x86_64
% 0.09/5.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.36 % Memory : 8046.5625MB
% 0.09/5.36 % OS : Linux 6.8.0-71-generic
% 0.09/5.36 % CPULimit : 300
% 0.09/5.36 % WCLimit : 300
% 0.09/5.36 % DateTime : Mon Sep 21 07:50:53 UTC 2026
% 0.09/5.36 % CPUTime :
% 0.09/5.38 % Drodi V4.1.1
% 0.12/5.41 % Refutation found
% 0.12/5.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/5.41 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/5.44 % Elapsed time: 0.073069 seconds
% 0.12/5.44 % CPU time: 0.161292 seconds
% 0.12/5.44 % Total memory used: 108.608 MB
% 0.12/5.44 % Net memory used: 108.437 MB
%------------------------------------------------------------------------------