%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWC333-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : 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 02:40:50 PM UTC 2026
% Result : Unsatisfiable 0.16s 0.49s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 25
% Syntax : Number of formulae : 78 ( 19 unt; 13 def)
% Number of atoms : 166 ( 4 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 159 ( 71 ~; 75 |; 0 &)
% ( 13 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 19 ( 17 usr; 14 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 2 ( 2 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f188,negated_conjecture,
ssList(sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f189,negated_conjecture,
ssList(sk4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
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,
segmentP(sk4,sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f193,negated_conjecture,
totalorderedP(sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f194,negated_conjecture,
! [A] :
( ~ totalorderedP(A)
| ~ segmentP(A,sk3)
| ~ segmentP(sk4,A)
| ~ neq(sk3,A)
| ~ ssList(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f195,negated_conjecture,
( ~ totalorderedP(sk1)
| ~ segmentP(sk2,sk1)
| ssList(sk5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f196,negated_conjecture,
( ~ totalorderedP(sk1)
| ~ segmentP(sk2,sk1)
| neq(sk1,sk5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f197,negated_conjecture,
( ~ totalorderedP(sk1)
| ~ segmentP(sk2,sk1)
| segmentP(sk2,sk5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f198,negated_conjecture,
( ~ totalorderedP(sk1)
| ~ segmentP(sk2,sk1)
| segmentP(sk5,sk1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f199,negated_conjecture,
( ~ totalorderedP(sk1)
| ~ segmentP(sk2,sk1)
| totalorderedP(sk5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f432,plain,
ssList(sk3),
inference(cnf_transformation,[status(thm)],[f188]) ).
fof(f433,plain,
ssList(sk4),
inference(cnf_transformation,[status(thm)],[f189]) ).
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,
segmentP(sk4,sk3),
inference(cnf_transformation,[status(thm)],[f192]) ).
fof(f437,plain,
totalorderedP(sk3),
inference(cnf_transformation,[status(thm)],[f193]) ).
fof(f438,plain,
! [X0] :
( ~ totalorderedP(X0)
| ~ segmentP(X0,sk3)
| ~ segmentP(sk4,X0)
| ~ neq(sk3,X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[status(thm)],[f194]) ).
fof(f439,plain,
( ~ totalorderedP(sk1)
| ~ segmentP(sk2,sk1)
| ssList(sk5) ),
inference(cnf_transformation,[status(thm)],[f195]) ).
fof(f440,plain,
( ~ totalorderedP(sk1)
| ~ segmentP(sk2,sk1)
| neq(sk1,sk5) ),
inference(cnf_transformation,[status(thm)],[f196]) ).
fof(f441,plain,
( ~ totalorderedP(sk1)
| ~ segmentP(sk2,sk1)
| segmentP(sk2,sk5) ),
inference(cnf_transformation,[status(thm)],[f197]) ).
fof(f442,plain,
( ~ totalorderedP(sk1)
| ~ segmentP(sk2,sk1)
| segmentP(sk5,sk1) ),
inference(cnf_transformation,[status(thm)],[f198]) ).
fof(f443,plain,
( ~ totalorderedP(sk1)
| ~ segmentP(sk2,sk1)
| totalorderedP(sk5) ),
inference(cnf_transformation,[status(thm)],[f199]) ).
fof(f451,definition,
( sQ2_spl
<=> ssList(sk5) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f454,definition,
( sQ3_spl
<=> segmentP(sk2,sk1) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f456,plain,
( sQ3_spl
| ~ segmentP(sk2,sk1) ),
inference(component_clause,[status(thm)],[f454]) ).
fof(f457,definition,
( sQ4_spl
<=> totalorderedP(sk1) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f459,plain,
( sQ4_spl
| ~ totalorderedP(sk1) ),
inference(component_clause,[status(thm)],[f457]) ).
fof(f460,plain,
( ~ sQ4_spl
| ~ sQ3_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f439,f451,f454,f457]) ).
fof(f461,definition,
( sQ5_spl
<=> neq(sk1,sk5) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f462,plain,
( ~ sQ5_spl
| neq(sk1,sk5) ),
inference(component_clause,[status(thm)],[f461]) ).
fof(f464,plain,
( ~ sQ4_spl
| ~ sQ3_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f440,f461,f454,f457]) ).
fof(f465,definition,
( sQ6_spl
<=> segmentP(sk2,sk5) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f466,plain,
( ~ sQ6_spl
| segmentP(sk2,sk5) ),
inference(component_clause,[status(thm)],[f465]) ).
fof(f468,plain,
( ~ sQ4_spl
| ~ sQ3_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f441,f465,f454,f457]) ).
fof(f469,definition,
( sQ7_spl
<=> segmentP(sk5,sk1) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f470,plain,
( ~ sQ7_spl
| segmentP(sk5,sk1) ),
inference(component_clause,[status(thm)],[f469]) ).
fof(f472,plain,
( ~ sQ4_spl
| ~ sQ3_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f442,f469,f454,f457]) ).
fof(f473,definition,
( sQ8_spl
<=> totalorderedP(sk5) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f476,plain,
( ~ sQ4_spl
| ~ sQ3_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f443,f473,f454,f457]) ).
fof(f508,plain,
( sQ4_spl
| ~ totalorderedP(sk3) ),
inference(forward_demodulation,[status(thm)],[f435,f459]) ).
fof(f509,plain,
( sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f508,f437]) ).
fof(f510,plain,
sQ4_spl,
inference(contradiction_clause,[status(thm)],[f509]) ).
fof(f511,plain,
( sQ3_spl
| ~ segmentP(sk4,sk1) ),
inference(forward_demodulation,[status(thm)],[f434,f456]) ).
fof(f512,plain,
( sQ3_spl
| ~ segmentP(sk4,sk3) ),
inference(forward_demodulation,[status(thm)],[f435,f511]) ).
fof(f514,plain,
( sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f512,f436]) ).
fof(f515,plain,
sQ3_spl,
inference(contradiction_clause,[status(thm)],[f514]) ).
fof(f516,plain,
( ~ sQ5_spl
| neq(sk3,sk5) ),
inference(forward_demodulation,[status(thm)],[f435,f462]) ).
fof(f517,plain,
( ~ sQ6_spl
| segmentP(sk4,sk5) ),
inference(forward_demodulation,[status(thm)],[f434,f466]) ).
fof(f518,plain,
( ~ sQ7_spl
| segmentP(sk5,sk3) ),
inference(forward_demodulation,[status(thm)],[f435,f470]) ).
fof(f525,plain,
( ~ sQ7_spl
| ~ totalorderedP(sk5)
| ~ segmentP(sk4,sk5)
| ~ neq(sk3,sk5)
| ~ ssList(sk5) ),
inference(resolution,[status(thm)],[f438,f518]) ).
fof(f528,definition,
( sQ9_spl
<=> neq(sk3,sk5) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f530,plain,
( sQ9_spl
| ~ neq(sk3,sk5) ),
inference(component_clause,[status(thm)],[f528]) ).
fof(f535,definition,
( sQ11_spl
<=> ssList(sk3) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f537,plain,
( sQ11_spl
| ~ ssList(sk3) ),
inference(component_clause,[status(thm)],[f535]) ).
fof(f544,definition,
( sQ14_spl
<=> totalorderedP(sk3) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f546,plain,
( sQ14_spl
| ~ totalorderedP(sk3) ),
inference(component_clause,[status(thm)],[f544]) ).
fof(f560,definition,
( sQ19_spl
<=> ssList(sk4) ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f562,plain,
( sQ19_spl
| ~ ssList(sk4) ),
inference(component_clause,[status(thm)],[f560]) ).
fof(f567,definition,
( sQ21_spl
<=> segmentP(sk4,sk3) ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f569,plain,
( sQ21_spl
| ~ segmentP(sk4,sk3) ),
inference(component_clause,[status(thm)],[f567]) ).
fof(f574,definition,
( sQ23_spl
<=> segmentP(sk4,sk5) ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f576,plain,
( sQ23_spl
| ~ segmentP(sk4,sk5) ),
inference(component_clause,[status(thm)],[f574]) ).
fof(f577,plain,
( ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ23_spl
| ~ sQ9_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f525,f451,f528,f574,f473,f469]) ).
fof(f583,plain,
( sQ19_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f562,f433]) ).
fof(f584,plain,
sQ19_spl,
inference(contradiction_clause,[status(thm)],[f583]) ).
fof(f585,plain,
( sQ9_spl
| ~ sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f530,f516]) ).
fof(f586,plain,
( sQ9_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f585]) ).
fof(f587,plain,
( sQ14_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f546,f437]) ).
fof(f588,plain,
sQ14_spl,
inference(contradiction_clause,[status(thm)],[f587]) ).
fof(f589,plain,
( sQ21_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f569,f436]) ).
fof(f590,plain,
sQ21_spl,
inference(contradiction_clause,[status(thm)],[f589]) ).
fof(f591,plain,
( sQ11_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f537,f432]) ).
fof(f592,plain,
sQ11_spl,
inference(contradiction_clause,[status(thm)],[f591]) ).
fof(f593,plain,
( sQ23_spl
| ~ sQ6_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f576,f517]) ).
fof(f594,plain,
( sQ23_spl
| ~ sQ6_spl ),
inference(contradiction_clause,[status(thm)],[f593]) ).
fof(f595,plain,
$false,
inference(sat_refutation,[status(thm)],[f460,f464,f468,f472,f476,f510,f515,f577,f584,f586,f588,f590,f592,f594]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWC333-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.44 % Computer : n016.cluster.edu
% 0.16/0.44 % Model : x86_64 x86_64
% 0.16/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.44 % Memory : 8046.5625MB
% 0.16/0.44 % OS : Linux 6.8.0-71-generic
% 0.16/0.44 % CPULimit : 300
% 0.16/0.44 % WCLimit : 300
% 0.16/0.44 % DateTime : Mon Sep 21 08:21:38 UTC 2026
% 0.16/0.44 % CPUTime :
% 0.16/0.47 % Drodi V4.1.1
% 0.16/0.49 % Refutation found
% 0.16/0.49 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.16/0.49 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.25/0.55 % Elapsed time: 0.097406 seconds
% 0.25/0.55 % CPU time: 0.109709 seconds
% 0.25/0.55 % Total memory used: 3.449 MB
% 0.25/0.55 % Net memory used: 3.447 MB
%------------------------------------------------------------------------------