%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWC038-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n020.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 02:39:42 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.39s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 11
% Syntax : Number of formulae : 36 ( 15 unt; 4 def)
% Number of atoms : 61 ( 19 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 46 ( 21 ~; 21 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 5 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 2 ( 2 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f84,axiom,
! [U] :
( nil = U
| ~ ssList(U)
| ~ frontsegP(nil,U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f186,negated_conjecture,
ssList(sk1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f190,negated_conjecture,
nil = sk2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f191,negated_conjecture,
sk2 = sk4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f192,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f193,negated_conjecture,
nil != sk1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f197,negated_conjecture,
( frontsegP(sk4,sk3)
| nil = sk3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f282,plain,
! [X0] :
( nil = X0
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(cnf_transformation,[status(thm)],[f84]) ).
fof(f428,plain,
ssList(sk1),
inference(cnf_transformation,[status(thm)],[f186]) ).
fof(f432,plain,
nil = sk2,
inference(cnf_transformation,[status(thm)],[f190]) ).
fof(f433,plain,
sk2 = sk4,
inference(cnf_transformation,[status(thm)],[f191]) ).
fof(f434,plain,
sk1 = sk3,
inference(cnf_transformation,[status(thm)],[f192]) ).
fof(f435,plain,
nil != sk1,
inference(cnf_transformation,[status(thm)],[f193]) ).
fof(f439,plain,
( frontsegP(sk4,sk3)
| nil = sk3 ),
inference(cnf_transformation,[status(thm)],[f197]) ).
fof(f454,definition,
( sQ4_spl
<=> frontsegP(sk4,sk3) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f455,plain,
( ~ sQ4_spl
| frontsegP(sk4,sk3) ),
inference(component_clause,[status(thm)],[f454]) ).
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(f462,plain,
( sQ4_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f439,f458,f454]) ).
fof(f494,plain,
nil = sk4,
inference(forward_demodulation,[status(thm)],[f432,f433]) ).
fof(f499,plain,
( ~ sQ5_spl
| nil = sk1 ),
inference(forward_demodulation,[status(thm)],[f434,f459]) ).
fof(f500,plain,
( ~ sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f499,f435]) ).
fof(f501,plain,
~ sQ5_spl,
inference(contradiction_clause,[status(thm)],[f500]) ).
fof(f503,plain,
( ~ sQ4_spl
| frontsegP(nil,sk3) ),
inference(forward_demodulation,[status(thm)],[f494,f455]) ).
fof(f504,plain,
( ~ sQ4_spl
| frontsegP(nil,sk1) ),
inference(forward_demodulation,[status(thm)],[f434,f503]) ).
fof(f524,plain,
( ~ sQ4_spl
| nil = sk1
| ~ ssList(sk1) ),
inference(resolution,[status(thm)],[f504,f282]) ).
fof(f525,definition,
( sQ8_spl
<=> ssList(sk1) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f527,plain,
( sQ8_spl
| ~ ssList(sk1) ),
inference(component_clause,[status(thm)],[f525]) ).
fof(f528,definition,
( sQ9_spl
<=> nil = sk1 ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f529,plain,
( ~ sQ9_spl
| nil = sk1 ),
inference(component_clause,[status(thm)],[f528]) ).
fof(f531,plain,
( ~ sQ4_spl
| sQ9_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f524,f525,f528,f454]) ).
fof(f532,plain,
( sQ8_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f527,f428]) ).
fof(f533,plain,
sQ8_spl,
inference(contradiction_clause,[status(thm)],[f532]) ).
fof(f534,plain,
( ~ sQ9_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f529,f435]) ).
fof(f535,plain,
~ sQ9_spl,
inference(contradiction_clause,[status(thm)],[f534]) ).
fof(f536,plain,
$false,
inference(sat_refutation,[status(thm)],[f462,f501,f531,f533,f535]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC038-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n020.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 07:51:49 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.13/0.37 % Drodi V4.1.1
% 0.13/0.39 % Refutation found
% 0.13/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.42 % Elapsed time: 0.053875 seconds
% 0.13/0.42 % CPU time: 0.143914 seconds
% 0.13/0.42 % Total memory used: 84.803 MB
% 0.13/0.42 % Net memory used: 84.671 MB
%------------------------------------------------------------------------------