%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWC406-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n002.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 02:41:07 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.39s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 8
% Syntax : Number of formulae : 25 ( 15 unt; 2 def)
% Number of atoms : 37 ( 4 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 25 ( 13 ~; 10 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 2 ( 2 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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(f196,negated_conjecture,
! [A] :
( memberP(sk4,A)
| ~ memberP(sk3,A)
| ~ ssItem(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f198,negated_conjecture,
ssItem(sk6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f199,negated_conjecture,
memberP(sk1,sk6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f200,negated_conjecture,
~ memberP(sk2,sk6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f435,plain,
sk2 = sk4,
inference(cnf_transformation,[status(thm)],[f190]) ).
fof(f436,plain,
sk1 = sk3,
inference(cnf_transformation,[status(thm)],[f191]) ).
fof(f441,plain,
! [X0] :
( memberP(sk4,X0)
| ~ memberP(sk3,X0)
| ~ ssItem(X0) ),
inference(cnf_transformation,[status(thm)],[f196]) ).
fof(f443,plain,
ssItem(sk6),
inference(cnf_transformation,[status(thm)],[f198]) ).
fof(f444,plain,
memberP(sk1,sk6),
inference(cnf_transformation,[status(thm)],[f199]) ).
fof(f445,plain,
~ memberP(sk2,sk6),
inference(cnf_transformation,[status(thm)],[f200]) ).
fof(f484,plain,
memberP(sk3,sk6),
inference(forward_demodulation,[status(thm)],[f436,f444]) ).
fof(f485,plain,
~ memberP(sk4,sk6),
inference(forward_demodulation,[status(thm)],[f435,f445]) ).
fof(f486,plain,
( memberP(sk4,sk6)
| ~ ssItem(sk6) ),
inference(resolution,[status(thm)],[f441,f484]) ).
fof(f487,definition,
( sQ2_spl
<=> ssItem(sk6) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f489,plain,
( sQ2_spl
| ~ ssItem(sk6) ),
inference(component_clause,[status(thm)],[f487]) ).
fof(f490,definition,
( sQ3_spl
<=> memberP(sk4,sk6) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f491,plain,
( ~ sQ3_spl
| memberP(sk4,sk6) ),
inference(component_clause,[status(thm)],[f490]) ).
fof(f493,plain,
( sQ3_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f486,f487,f490]) ).
fof(f494,plain,
( sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f489,f443]) ).
fof(f495,plain,
sQ2_spl,
inference(contradiction_clause,[status(thm)],[f494]) ).
fof(f496,plain,
( ~ sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f491,f485]) ).
fof(f497,plain,
~ sQ3_spl,
inference(contradiction_clause,[status(thm)],[f496]) ).
fof(f498,plain,
$false,
inference(sat_refutation,[status(thm)],[f493,f495,f497]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC406-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.37 % Computer : n002.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Mon Sep 21 08:24:50 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.39 % Drodi V4.1.1
% 0.09/0.39 % Refutation found
% 0.09/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.42 % Elapsed time: 0.040483 seconds
% 0.14/0.42 % CPU time: 0.078093 seconds
% 0.14/0.42 % Total memory used: 10.201 MB
% 0.14/0.42 % Net memory used: 10.188 MB
%------------------------------------------------------------------------------