%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWC082-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : 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 02:39:53 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.59s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 13
% Syntax : Number of formulae : 35 ( 9 unt; 5 def)
% Number of atoms : 73 ( 4 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 76 ( 38 ~; 33 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 6 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 4 ( 4 !; 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(f192,negated_conjecture,
neq(sk2,nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f193,negated_conjecture,
! [A] :
( ~ segmentP(sk1,A)
| ~ segmentP(sk2,A)
| ~ neq(A,nil)
| ~ ssList(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f195,negated_conjecture,
( ~ neq(sk4,nil)
| ssList(sk5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f196,negated_conjecture,
( ~ neq(sk4,nil)
| neq(sk5,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f197,negated_conjecture,
( ~ neq(sk4,nil)
| segmentP(sk4,sk5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f198,negated_conjecture,
( ~ neq(sk4,nil)
| segmentP(sk3,sk5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f433,plain,
sk2 = sk4,
inference(cnf_transformation,[status(thm)],[f190]) ).
fof(f434,plain,
sk1 = sk3,
inference(cnf_transformation,[status(thm)],[f191]) ).
fof(f435,plain,
neq(sk2,nil),
inference(cnf_transformation,[status(thm)],[f192]) ).
fof(f436,plain,
! [X0] :
( ~ segmentP(sk1,X0)
| ~ segmentP(sk2,X0)
| ~ neq(X0,nil)
| ~ ssList(X0) ),
inference(cnf_transformation,[status(thm)],[f193]) ).
fof(f438,plain,
( ~ neq(sk4,nil)
| ssList(sk5) ),
inference(cnf_transformation,[status(thm)],[f195]) ).
fof(f439,plain,
( ~ neq(sk4,nil)
| neq(sk5,nil) ),
inference(cnf_transformation,[status(thm)],[f196]) ).
fof(f440,plain,
( ~ neq(sk4,nil)
| segmentP(sk4,sk5) ),
inference(cnf_transformation,[status(thm)],[f197]) ).
fof(f441,plain,
( ~ neq(sk4,nil)
| segmentP(sk3,sk5) ),
inference(cnf_transformation,[status(thm)],[f198]) ).
fof(f456,definition,
( sQ4_spl
<=> ssList(sk5) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f459,definition,
( sQ5_spl
<=> neq(sk4,nil) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f461,plain,
( sQ5_spl
| ~ neq(sk4,nil) ),
inference(component_clause,[status(thm)],[f459]) ).
fof(f462,plain,
( ~ sQ5_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f438,f456,f459]) ).
fof(f463,definition,
( sQ6_spl
<=> neq(sk5,nil) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f466,plain,
( ~ sQ5_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f439,f463,f459]) ).
fof(f467,definition,
( sQ7_spl
<=> segmentP(sk4,sk5) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f468,plain,
( ~ sQ7_spl
| segmentP(sk4,sk5) ),
inference(component_clause,[status(thm)],[f467]) ).
fof(f470,plain,
( ~ sQ5_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f440,f467,f459]) ).
fof(f471,definition,
( sQ8_spl
<=> segmentP(sk3,sk5) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f474,plain,
( ~ sQ5_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f441,f471,f459]) ).
fof(f507,plain,
neq(sk4,nil),
inference(forward_demodulation,[status(thm)],[f433,f435]) ).
fof(f512,plain,
! [X0] :
( ~ segmentP(sk1,X0)
| ~ segmentP(sk4,X0)
| ~ neq(X0,nil)
| ~ ssList(X0) ),
inference(forward_demodulation,[status(thm)],[f433,f436]) ).
fof(f513,plain,
! [X0] :
( ~ segmentP(sk3,X0)
| ~ segmentP(sk4,X0)
| ~ neq(X0,nil)
| ~ ssList(X0) ),
inference(forward_demodulation,[status(thm)],[f434,f512]) ).
fof(f514,plain,
( ~ sQ7_spl
| ~ segmentP(sk3,sk5)
| ~ neq(sk5,nil)
| ~ ssList(sk5) ),
inference(resolution,[status(thm)],[f513,f468]) ).
fof(f520,plain,
( ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ6_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f514,f456,f463,f471,f467]) ).
fof(f563,plain,
( sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f461,f507]) ).
fof(f564,plain,
sQ5_spl,
inference(contradiction_clause,[status(thm)],[f563]) ).
fof(f565,plain,
$false,
inference(sat_refutation,[status(thm)],[f462,f466,f470,f474,f520,f564]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC082-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.56 % Computer : n010.cluster.edu
% 0.10/0.56 % Model : x86_64 x86_64
% 0.10/0.56 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.56 % Memory : 8046.5625MB
% 0.10/0.56 % OS : Linux 6.8.0-71-generic
% 0.10/0.56 % CPULimit : 300
% 0.10/0.56 % WCLimit : 300
% 0.10/0.56 % DateTime : Mon Sep 21 07:54:41 UTC 2026
% 0.10/0.56 % CPUTime :
% 0.10/0.57 % Drodi V4.1.1
% 0.14/0.59 % Refutation found
% 0.14/0.59 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.59 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.64 % Elapsed time: 0.072616 seconds
% 0.14/0.64 % CPU time: 0.193072 seconds
% 0.14/0.64 % Total memory used: 108.477 MB
% 0.14/0.64 % Net memory used: 108.310 MB
%------------------------------------------------------------------------------