%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWC328-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n010.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 02:40:48 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.40s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of formulae : 22 ( 14 unt; 0 def)
% Number of atoms : 30 ( 6 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 23 ( 15 ~; 8 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 3 ( 3 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
equalelemsP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f56,axiom,
! [U] :
( segmentP(U,nil)
| ~ ssList(U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f189,negated_conjecture,
ssList(sk4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f190,negated_conjecture,
nil = sk3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f191,negated_conjecture,
sk2 = sk4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f192,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f193,negated_conjecture,
( ~ equalelemsP(sk1)
| ~ segmentP(sk2,sk1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f194,plain,
equalelemsP(nil),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f249,plain,
! [X0] :
( segmentP(X0,nil)
| ~ ssList(X0) ),
inference(cnf_transformation,[status(thm)],[f56]) ).
fof(f427,plain,
ssList(sk4),
inference(cnf_transformation,[status(thm)],[f189]) ).
fof(f428,plain,
nil = sk3,
inference(cnf_transformation,[status(thm)],[f190]) ).
fof(f429,plain,
sk2 = sk4,
inference(cnf_transformation,[status(thm)],[f191]) ).
fof(f430,plain,
sk1 = sk3,
inference(cnf_transformation,[status(thm)],[f192]) ).
fof(f431,plain,
( ~ equalelemsP(sk1)
| ~ segmentP(sk2,sk1) ),
inference(cnf_transformation,[status(thm)],[f193]) ).
fof(f462,plain,
equalelemsP(sk3),
inference(backward_demodulation,[status(thm)],[f428,f194]) ).
fof(f463,plain,
! [X0] :
( segmentP(X0,sk3)
| ~ ssList(X0) ),
inference(forward_demodulation,[status(thm)],[f428,f249]) ).
fof(f473,plain,
( ~ equalelemsP(sk1)
| ~ segmentP(sk4,sk1) ),
inference(forward_demodulation,[status(thm)],[f429,f431]) ).
fof(f474,plain,
( ~ equalelemsP(sk1)
| ~ segmentP(sk4,sk3) ),
inference(forward_demodulation,[status(thm)],[f430,f473]) ).
fof(f475,plain,
( ~ equalelemsP(sk3)
| ~ segmentP(sk4,sk3) ),
inference(forward_demodulation,[status(thm)],[f430,f474]) ).
fof(f476,plain,
~ segmentP(sk4,sk3),
inference(backward_subsumption_resolution,[status(thm)],[f475,f462]) ).
fof(f477,plain,
~ ssList(sk4),
inference(resolution,[status(thm)],[f476,f463]) ).
fof(f478,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f477,f427]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC328-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n010.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 08:16:26 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.38 % Drodi V4.1.1
% 0.09/0.40 % Refutation found
% 0.09/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.43 % Elapsed time: 0.056262 seconds
% 0.13/0.43 % CPU time: 0.134324 seconds
% 0.13/0.43 % Total memory used: 67.859 MB
% 0.13/0.43 % Net memory used: 67.737 MB
%------------------------------------------------------------------------------