%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWC026-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n016.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 02:39:39 PM UTC 2026
% Result : Unsatisfiable 0.08s 0.39s
% Output : CNFRefutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 10
% Syntax : Number of formulae : 44 ( 5 unt; 4 def)
% Number of atoms : 94 ( 40 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 93 ( 43 ~; 46 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 5 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,
( nil != sk3
| nil = sk4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f193,negated_conjecture,
( nil != sk4
| nil = sk3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f194,negated_conjecture,
( nil = sk1
| nil = sk2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f197,negated_conjecture,
( nil != sk2
| nil != sk1 ),
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,
( nil != sk3
| nil = sk4 ),
inference(cnf_transformation,[status(thm)],[f192]) ).
fof(f435,plain,
( nil != sk4
| nil = sk3 ),
inference(cnf_transformation,[status(thm)],[f193]) ).
fof(f436,plain,
( nil = sk1
| nil = sk2 ),
inference(cnf_transformation,[status(thm)],[f194]) ).
fof(f439,plain,
( nil != sk2
| nil != sk1 ),
inference(cnf_transformation,[status(thm)],[f197]) ).
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(f449,plain,
( sQ2_spl
| nil != sk4 ),
inference(component_clause,[status(thm)],[f447]) ).
fof(f450,definition,
( sQ3_spl
<=> nil = sk3 ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f451,plain,
( ~ sQ3_spl
| nil = sk3 ),
inference(component_clause,[status(thm)],[f450]) ).
fof(f453,plain,
( ~ sQ3_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f434,f447,f450]) ).
fof(f454,plain,
( ~ sQ2_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f435,f450,f447]) ).
fof(f455,definition,
( sQ4_spl
<=> nil = sk2 ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f456,plain,
( ~ sQ4_spl
| nil = sk2 ),
inference(component_clause,[status(thm)],[f455]) ).
fof(f457,plain,
( sQ4_spl
| nil != sk2 ),
inference(component_clause,[status(thm)],[f455]) ).
fof(f458,definition,
( sQ5_spl
<=> nil = sk1 ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f459,plain,
( ~ sQ5_spl
| nil = sk1 ),
inference(component_clause,[status(thm)],[f458]) ).
fof(f460,plain,
( sQ5_spl
| nil != sk1 ),
inference(component_clause,[status(thm)],[f458]) ).
fof(f461,plain,
( sQ5_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f436,f455,f458]) ).
fof(f464,plain,
( ~ sQ4_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f439,f458,f455]) ).
fof(f496,plain,
( sQ5_spl
| nil != sk3 ),
inference(forward_demodulation,[status(thm)],[f433,f460]) ).
fof(f497,plain,
( sQ5_spl
| ~ sQ4_spl
| sk4 != sk3 ),
inference(backward_demodulation,[status(thm)],[f499,f496]) ).
fof(f499,plain,
( ~ sQ4_spl
| nil = sk4 ),
inference(forward_demodulation,[status(thm)],[f432,f456]) ).
fof(f502,plain,
( ~ sQ3_spl
| ~ sQ4_spl
| sk4 = sk3 ),
inference(forward_demodulation,[status(thm)],[f499,f451]) ).
fof(f503,plain,
( sQ5_spl
| ~ sQ4_spl
| ~ sQ3_spl
| sk4 != sk4 ),
inference(forward_demodulation,[status(thm)],[f502,f497]) ).
fof(f504,plain,
( sQ5_spl
| ~ sQ4_spl
| ~ sQ3_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f503]) ).
fof(f505,plain,
( sQ5_spl
| ~ sQ4_spl
| ~ sQ3_spl ),
inference(contradiction_clause,[status(thm)],[f504]) ).
fof(f507,plain,
( sQ2_spl
| ~ sQ4_spl
| sk4 != sk4 ),
inference(forward_demodulation,[status(thm)],[f499,f449]) ).
fof(f508,plain,
( sQ2_spl
| ~ sQ4_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f507]) ).
fof(f509,plain,
( sQ2_spl
| ~ sQ4_spl ),
inference(contradiction_clause,[status(thm)],[f508]) ).
fof(f510,plain,
( sQ4_spl
| nil != sk4 ),
inference(forward_demodulation,[status(thm)],[f432,f457]) ).
fof(f522,plain,
( sQ4_spl
| ~ sQ2_spl
| sk4 != sk4 ),
inference(forward_demodulation,[status(thm)],[f448,f510]) ).
fof(f523,plain,
( sQ4_spl
| ~ sQ2_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f522]) ).
fof(f524,plain,
( sQ4_spl
| ~ sQ2_spl ),
inference(contradiction_clause,[status(thm)],[f523]) ).
fof(f525,plain,
( ~ sQ5_spl
| nil = sk3 ),
inference(backward_demodulation,[status(thm)],[f433,f459]) ).
fof(f526,plain,
( ~ sQ5_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f525,f450,f458]) ).
fof(f527,plain,
$false,
inference(sat_refutation,[status(thm)],[f453,f454,f461,f464,f505,f509,f524,f526]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC026-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n016.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 07:54:54 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.37 % Drodi V4.1.1
% 0.08/0.39 % Refutation found
% 0.08/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.08/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.08/0.42 % Elapsed time: 0.055302 seconds
% 0.08/0.42 % CPU time: 0.141800 seconds
% 0.08/0.42 % Total memory used: 81.376 MB
% 0.08/0.42 % Net memory used: 81.247 MB
%------------------------------------------------------------------------------