%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWC257-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n016.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 02:40:32 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.41s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 9
% Syntax : Number of formulae : 27 ( 11 unt; 0 def)
% Number of atoms : 44 ( 18 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 29 ( 12 ~; 17 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 4 ( 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
totalorderedP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f67,axiom,
! [U] :
( totalorderedP(cons(U,nil))
| ~ ssItem(U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f71,axiom,
! [U] :
( ~ ssItem(U)
| ~ memberP(nil,U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f191,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f192,negated_conjecture,
~ totalorderedP(sk1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f193,negated_conjecture,
( nil = sk4
| ssItem(sk5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f194,negated_conjecture,
( nil = sk3
| ssItem(sk5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f195,negated_conjecture,
( nil = sk4
| cons(sk5,nil) = sk3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f199,negated_conjecture,
( nil = sk3
| memberP(sk4,sk5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f204,plain,
totalorderedP(nil),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f267,plain,
! [X0] :
( totalorderedP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(cnf_transformation,[status(thm)],[f67]) ).
fof(f271,plain,
! [X0] :
( ~ ssItem(X0)
| ~ memberP(nil,X0) ),
inference(cnf_transformation,[status(thm)],[f71]) ).
fof(f436,plain,
sk1 = sk3,
inference(cnf_transformation,[status(thm)],[f191]) ).
fof(f437,plain,
~ totalorderedP(sk1),
inference(cnf_transformation,[status(thm)],[f192]) ).
fof(f438,plain,
( nil = sk4
| ssItem(sk5) ),
inference(cnf_transformation,[status(thm)],[f193]) ).
fof(f439,plain,
( nil = sk3
| ssItem(sk5) ),
inference(cnf_transformation,[status(thm)],[f194]) ).
fof(f440,plain,
( nil = sk4
| cons(sk5,nil) = sk3 ),
inference(cnf_transformation,[status(thm)],[f195]) ).
fof(f445,plain,
( nil = sk3
| memberP(sk4,sk5) ),
inference(cnf_transformation,[status(thm)],[f199]) ).
fof(f479,plain,
~ totalorderedP(sk3),
inference(forward_demodulation,[status(thm)],[f436,f437]) ).
fof(f480,plain,
( nil = sk4
| totalorderedP(sk3)
| ~ ssItem(sk5) ),
inference(paramodulation,[status(thm)],[f440,f267]) ).
fof(f481,plain,
( nil = sk4
| totalorderedP(sk3) ),
inference(forward_subsumption_resolution,[status(thm)],[f480,f438]) ).
fof(f487,plain,
nil = sk4,
inference(forward_subsumption_resolution,[status(thm)],[f481,f479]) ).
fof(f488,plain,
( nil = sk3
| memberP(nil,sk5) ),
inference(forward_demodulation,[status(thm)],[f487,f445]) ).
fof(f489,plain,
( ~ ssItem(sk5)
| nil = sk3 ),
inference(resolution,[status(thm)],[f488,f271]) ).
fof(f490,plain,
nil = sk3,
inference(forward_subsumption_resolution,[status(thm)],[f489,f439]) ).
fof(f493,plain,
~ totalorderedP(nil),
inference(backward_demodulation,[status(thm)],[f490,f479]) ).
fof(f496,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f493,f204]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC257-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n016.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 08:13:54 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.14/0.38 % Drodi V4.1.1
% 0.14/0.41 % Refutation found
% 0.14/0.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.41 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.43 % Elapsed time: 0.055382 seconds
% 0.14/0.43 % CPU time: 0.154066 seconds
% 0.14/0.43 % Total memory used: 101.993 MB
% 0.14/0.43 % Net memory used: 101.859 MB
%------------------------------------------------------------------------------