%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWC293-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n017.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 02:40:40 PM UTC 2026
% Result : Unsatisfiable 0.10s 0.62s
% Output : CNFRefutation 0.15s
% 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(f3,axiom,
strictorderedP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f66,axiom,
! [U] :
( strictorderedP(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,
~ strictorderedP(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(f198,negated_conjecture,
( nil = sk3
| memberP(sk4,sk5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f201,plain,
strictorderedP(nil),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f264,plain,
! [X0] :
( strictorderedP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(cnf_transformation,[status(thm)],[f66]) ).
fof(f269,plain,
! [X0] :
( ~ ssItem(X0)
| ~ memberP(nil,X0) ),
inference(cnf_transformation,[status(thm)],[f71]) ).
fof(f434,plain,
sk1 = sk3,
inference(cnf_transformation,[status(thm)],[f191]) ).
fof(f435,plain,
~ strictorderedP(sk1),
inference(cnf_transformation,[status(thm)],[f192]) ).
fof(f436,plain,
( nil = sk4
| ssItem(sk5) ),
inference(cnf_transformation,[status(thm)],[f193]) ).
fof(f437,plain,
( nil = sk3
| ssItem(sk5) ),
inference(cnf_transformation,[status(thm)],[f194]) ).
fof(f438,plain,
( nil = sk4
| cons(sk5,nil) = sk3 ),
inference(cnf_transformation,[status(thm)],[f195]) ).
fof(f441,plain,
( nil = sk3
| memberP(sk4,sk5) ),
inference(cnf_transformation,[status(thm)],[f198]) ).
fof(f473,plain,
~ strictorderedP(sk3),
inference(forward_demodulation,[status(thm)],[f434,f435]) ).
fof(f474,plain,
( nil = sk4
| strictorderedP(sk3)
| ~ ssItem(sk5) ),
inference(paramodulation,[status(thm)],[f438,f264]) ).
fof(f476,plain,
( nil = sk4
| strictorderedP(sk3) ),
inference(forward_subsumption_resolution,[status(thm)],[f474,f436]) ).
fof(f482,plain,
nil = sk4,
inference(forward_subsumption_resolution,[status(thm)],[f476,f473]) ).
fof(f483,plain,
( nil = sk3
| memberP(nil,sk5) ),
inference(forward_demodulation,[status(thm)],[f482,f441]) ).
fof(f484,plain,
( ~ ssItem(sk5)
| nil = sk3 ),
inference(resolution,[status(thm)],[f483,f269]) ).
fof(f485,plain,
nil = sk3,
inference(forward_subsumption_resolution,[status(thm)],[f484,f437]) ).
fof(f488,plain,
~ strictorderedP(nil),
inference(backward_demodulation,[status(thm)],[f485,f473]) ).
fof(f491,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f488,f201]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC293-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.57 % Computer : n017.cluster.edu
% 0.10/0.57 % Model : x86_64 x86_64
% 0.10/0.57 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.57 % Memory : 8046.5625MB
% 0.10/0.57 % OS : Linux 6.8.0-71-generic
% 0.10/0.57 % CPULimit : 300
% 0.10/0.57 % WCLimit : 300
% 0.10/0.57 % DateTime : Mon Sep 21 08:08:13 UTC 2026
% 0.10/0.57 % CPUTime :
% 0.10/0.59 % Drodi V4.1.1
% 0.10/0.62 % Refutation found
% 0.10/0.62 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.62 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/0.66 % Elapsed time: 0.068462 seconds
% 0.15/0.66 % CPU time: 0.162330 seconds
% 0.15/0.66 % Total memory used: 108.687 MB
% 0.15/0.66 % Net memory used: 108.519 MB
%------------------------------------------------------------------------------