%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWC209-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n007.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 02:40:24 PM UTC 2026
% Result : Unsatisfiable 0.17s 0.54s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of formulae : 33 ( 12 unt; 3 def)
% Number of atoms : 61 ( 15 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 54 ( 26 ~; 25 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 4 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,
sk2 = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f191,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f192,negated_conjecture,
neq(sk2,nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f193,negated_conjecture,
~ neq(sk1,nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f194,negated_conjecture,
( neq(sk3,nil)
| nil = sk4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f196,negated_conjecture,
( neq(sk3,nil)
| nil = sk3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f432,plain,
sk2 = sk4,
inference(cnf_transformation,[status(thm)],[f190]) ).
fof(f433,plain,
sk1 = sk3,
inference(cnf_transformation,[status(thm)],[f191]) ).
fof(f434,plain,
neq(sk2,nil),
inference(cnf_transformation,[status(thm)],[f192]) ).
fof(f435,plain,
~ neq(sk1,nil),
inference(cnf_transformation,[status(thm)],[f193]) ).
fof(f436,plain,
( neq(sk3,nil)
| nil = sk4 ),
inference(cnf_transformation,[status(thm)],[f194]) ).
fof(f438,plain,
( neq(sk3,nil)
| nil = sk3 ),
inference(cnf_transformation,[status(thm)],[f196]) ).
fof(f447,definition,
( sQ2_spl
<=> nil = sk4 ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f448,plain,
( ~ sQ2_spl
| nil = sk4 ),
inference(component_clause,[status(thm)],[f447]) ).
fof(f450,definition,
( sQ3_spl
<=> neq(sk3,nil) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f451,plain,
( ~ sQ3_spl
| neq(sk3,nil) ),
inference(component_clause,[status(thm)],[f450]) ).
fof(f453,plain,
( sQ3_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f436,f447,f450]) ).
fof(f458,definition,
( sQ5_spl
<=> nil = sk3 ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f459,plain,
( ~ sQ5_spl
| nil = sk3 ),
inference(component_clause,[status(thm)],[f458]) ).
fof(f461,plain,
( sQ3_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f438,f458,f450]) ).
fof(f495,plain,
( ~ sQ5_spl
| ~ sQ2_spl
| nil = sk4 ),
inference(backward_demodulation,[status(thm)],[f498,f459]) ).
fof(f496,plain,
( ~ sQ2_spl
| ~ sQ5_spl
| sk1 = sk4 ),
inference(backward_demodulation,[status(thm)],[f498,f433]) ).
fof(f498,plain,
( ~ sQ2_spl
| ~ sQ5_spl
| sk3 = sk4 ),
inference(forward_demodulation,[status(thm)],[f459,f448]) ).
fof(f499,plain,
neq(sk4,nil),
inference(forward_demodulation,[status(thm)],[f432,f434]) ).
fof(f500,plain,
( ~ sQ5_spl
| ~ sQ2_spl
| neq(sk4,sk4) ),
inference(forward_demodulation,[status(thm)],[f495,f499]) ).
fof(f501,plain,
( ~ sQ2_spl
| ~ sQ5_spl
| ~ neq(sk4,nil) ),
inference(forward_demodulation,[status(thm)],[f496,f435]) ).
fof(f502,plain,
( ~ sQ2_spl
| ~ sQ5_spl
| ~ neq(sk4,sk4) ),
inference(forward_demodulation,[status(thm)],[f495,f501]) ).
fof(f503,plain,
( ~ sQ2_spl
| ~ sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f502,f500]) ).
fof(f504,plain,
( ~ sQ2_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f503]) ).
fof(f505,plain,
~ neq(sk3,nil),
inference(forward_demodulation,[status(thm)],[f433,f435]) ).
fof(f506,plain,
( ~ sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f505,f451]) ).
fof(f507,plain,
~ sQ3_spl,
inference(contradiction_clause,[status(thm)],[f506]) ).
fof(f508,plain,
$false,
inference(sat_refutation,[status(thm)],[f453,f461,f504,f507]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWC209-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.47 % Computer : n007.cluster.edu
% 0.17/0.47 % Model : x86_64 x86_64
% 0.17/0.47 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.47 % Memory : 8046.5625MB
% 0.17/0.47 % OS : Linux 6.8.0-71-generic
% 0.17/0.47 % CPULimit : 300
% 0.17/0.47 % WCLimit : 300
% 0.17/0.47 % DateTime : Mon Sep 21 08:02:35 UTC 2026
% 0.17/0.48 % CPUTime :
% 0.17/0.53 % Drodi V4.1.1
% 0.17/0.54 % Refutation found
% 0.17/0.54 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.17/0.54 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.21/0.60 % Elapsed time: 0.103442 seconds
% 0.21/0.60 % CPU time: 0.115729 seconds
% 0.21/0.60 % Total memory used: 6.845 MB
% 0.21/0.60 % Net memory used: 6.832 MB
%------------------------------------------------------------------------------