%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWC121-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : 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 02:40:03 PM UTC 2026
% Result : Unsatisfiable 0.11s 0.38s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 12
% Syntax : Number of formulae : 39 ( 6 unt; 6 def)
% Number of atoms : 78 ( 4 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 70 ( 31 ~; 33 |; 0 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 7 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)
| neq(sk2,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f197,negated_conjecture,
( ~ neq(sk4,nil)
| neq(sk3,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f198,negated_conjecture,
( ~ neq(sk4,nil)
| segmentP(sk4,sk3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f199,negated_conjecture,
( ~ neq(sk4,nil)
| ~ segmentP(sk2,sk1)
| ~ neq(sk1,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f434,plain,
sk2 = sk4,
inference(cnf_transformation,[status(thm)],[f190]) ).
fof(f435,plain,
sk1 = sk3,
inference(cnf_transformation,[status(thm)],[f191]) ).
fof(f436,plain,
( neq(sk2,nil)
| neq(sk2,nil) ),
inference(cnf_transformation,[status(thm)],[f192]) ).
fof(f441,plain,
( ~ neq(sk4,nil)
| neq(sk3,nil) ),
inference(cnf_transformation,[status(thm)],[f197]) ).
fof(f442,plain,
( ~ neq(sk4,nil)
| segmentP(sk4,sk3) ),
inference(cnf_transformation,[status(thm)],[f198]) ).
fof(f443,plain,
( ~ neq(sk4,nil)
| ~ segmentP(sk2,sk1)
| ~ neq(sk1,nil) ),
inference(cnf_transformation,[status(thm)],[f199]) ).
fof(f451,definition,
( sQ2_spl
<=> neq(sk2,nil) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f452,plain,
( ~ sQ2_spl
| neq(sk2,nil) ),
inference(component_clause,[status(thm)],[f451]) ).
fof(f454,plain,
sQ2_spl,
inference(split_clause,[status(thm)],[f436,f451]) ).
fof(f455,definition,
( sQ3_spl
<=> neq(sk4,nil) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f457,plain,
( sQ3_spl
| ~ neq(sk4,nil) ),
inference(component_clause,[status(thm)],[f455]) ).
fof(f459,definition,
( sQ4_spl
<=> neq(sk3,nil) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f460,plain,
( ~ sQ4_spl
| neq(sk3,nil) ),
inference(component_clause,[status(thm)],[f459]) ).
fof(f463,definition,
( sQ5_spl
<=> segmentP(sk4,sk3) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f464,plain,
( ~ sQ5_spl
| segmentP(sk4,sk3) ),
inference(component_clause,[status(thm)],[f463]) ).
fof(f467,definition,
( sQ6_spl
<=> neq(sk1,nil) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f469,plain,
( sQ6_spl
| ~ neq(sk1,nil) ),
inference(component_clause,[status(thm)],[f467]) ).
fof(f470,definition,
( sQ7_spl
<=> segmentP(sk2,sk1) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f472,plain,
( sQ7_spl
| ~ segmentP(sk2,sk1) ),
inference(component_clause,[status(thm)],[f470]) ).
fof(f474,plain,
( ~ sQ3_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f441,f459,f455]) ).
fof(f475,plain,
( ~ sQ3_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f442,f463,f455]) ).
fof(f476,plain,
( ~ sQ3_spl
| ~ sQ7_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f443,f467,f470,f455]) ).
fof(f508,plain,
( ~ sQ2_spl
| neq(sk4,nil) ),
inference(forward_demodulation,[status(thm)],[f434,f452]) ).
fof(f509,plain,
( sQ3_spl
| ~ sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f457,f508]) ).
fof(f510,plain,
( sQ3_spl
| ~ sQ2_spl ),
inference(contradiction_clause,[status(thm)],[f509]) ).
fof(f511,plain,
( sQ6_spl
| ~ neq(sk3,nil) ),
inference(forward_demodulation,[status(thm)],[f435,f469]) ).
fof(f512,plain,
( sQ6_spl
| ~ sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f511,f460]) ).
fof(f513,plain,
( sQ6_spl
| ~ sQ4_spl ),
inference(contradiction_clause,[status(thm)],[f512]) ).
fof(f514,plain,
( sQ7_spl
| ~ segmentP(sk4,sk1) ),
inference(forward_demodulation,[status(thm)],[f434,f472]) ).
fof(f515,plain,
( sQ7_spl
| ~ segmentP(sk4,sk3) ),
inference(forward_demodulation,[status(thm)],[f435,f514]) ).
fof(f516,plain,
( sQ7_spl
| ~ sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f515,f464]) ).
fof(f517,plain,
( sQ7_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f516]) ).
fof(f518,plain,
$false,
inference(sat_refutation,[status(thm)],[f454,f474,f475,f476,f510,f513,f517]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC121-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.34 % Computer : n010.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % 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 07:57:25 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.36 % Drodi V4.1.1
% 0.11/0.38 % Refutation found
% 0.11/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.11/0.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.11/0.42 % Elapsed time: 0.058328 seconds
% 0.11/0.42 % CPU time: 0.158498 seconds
% 0.11/0.42 % Total memory used: 108.479 MB
% 0.11/0.42 % Net memory used: 108.352 MB
%------------------------------------------------------------------------------