%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWC036-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n011.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 02:39:41 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.39s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of formulae : 23 ( 12 unt; 2 def)
% Number of atoms : 34 ( 19 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 22 ( 11 ~; 9 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 3 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f190,negated_conjecture,
nil = sk2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f191,negated_conjecture,
sk2 = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f192,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f193,negated_conjecture,
nil != sk1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f194,negated_conjecture,
( nil != sk4
| nil = sk3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f429,plain,
nil = sk2,
inference(cnf_transformation,[status(thm)],[f190]) ).
fof(f430,plain,
sk2 = sk4,
inference(cnf_transformation,[status(thm)],[f191]) ).
fof(f431,plain,
sk1 = sk3,
inference(cnf_transformation,[status(thm)],[f192]) ).
fof(f432,plain,
nil != sk1,
inference(cnf_transformation,[status(thm)],[f193]) ).
fof(f433,plain,
( nil != sk4
| nil = sk3 ),
inference(cnf_transformation,[status(thm)],[f194]) ).
fof(f441,definition,
( sQ2_spl
<=> nil = sk3 ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f442,plain,
( ~ sQ2_spl
| nil = sk3 ),
inference(component_clause,[status(thm)],[f441]) ).
fof(f444,definition,
( sQ3_spl
<=> nil = sk4 ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f446,plain,
( sQ3_spl
| nil != sk4 ),
inference(component_clause,[status(thm)],[f444]) ).
fof(f447,plain,
( ~ sQ3_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f433,f441,f444]) ).
fof(f479,plain,
nil = sk4,
inference(forward_demodulation,[status(thm)],[f429,f430]) ).
fof(f481,plain,
( ~ sQ2_spl
| nil = sk1 ),
inference(forward_demodulation,[status(thm)],[f431,f442]) ).
fof(f482,plain,
( ~ sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f481,f432]) ).
fof(f483,plain,
~ sQ2_spl,
inference(contradiction_clause,[status(thm)],[f482]) ).
fof(f484,plain,
( sQ3_spl
| nil != nil ),
inference(forward_demodulation,[status(thm)],[f479,f446]) ).
fof(f485,plain,
( sQ3_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f484]) ).
fof(f486,plain,
sQ3_spl,
inference(contradiction_clause,[status(thm)],[f485]) ).
fof(f487,plain,
$false,
inference(sat_refutation,[status(thm)],[f447,f483,f486]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC036-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n011.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Mon Sep 21 07:50:26 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.37 % Drodi V4.1.1
% 0.13/0.39 % Refutation found
% 0.13/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.43 % Elapsed time: 0.055967 seconds
% 0.13/0.43 % CPU time: 0.148723 seconds
% 0.13/0.43 % Total memory used: 108.378 MB
% 0.13/0.43 % Net memory used: 108.182 MB
%------------------------------------------------------------------------------