%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN032-1 : TPTP v9.3.1. Released v1.0.0.
% 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 03:14:56 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.38s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 13
% Syntax : Number of formulae : 28 ( 1 unt; 6 def)
% Number of atoms : 64 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 60 ( 24 ~; 30 |; 0 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 13 ( 12 usr; 13 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,hypothesis,
( ~ j
| a
| h ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,hypothesis,
( j
| k
| h ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,hypothesis,
( ~ k
| j
| h ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,hypothesis,
( ~ a
| b ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,hypothesis,
( ~ h
| c ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,hypothesis,
( ~ c
| ~ h ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
( ~ b
| ~ a ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,plain,
( ~ j
| a
| h ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f9,plain,
( j
| k
| h ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f10,plain,
( ~ k
| j
| h ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f11,plain,
( ~ a
| b ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f12,plain,
( ~ h
| c ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f13,plain,
( ~ c
| ~ h ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f14,plain,
( ~ b
| ~ a ),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f15,definition,
( sQ0_spl
<=> h ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f18,definition,
( sQ1_spl
<=> a ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f21,definition,
( sQ2_spl
<=> j ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f24,plain,
( ~ sQ2_spl
| sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f8,f15,f18,f21]) ).
fof(f25,definition,
( sQ3_spl
<=> k ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f28,plain,
( sQ2_spl
| sQ3_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f9,f15,f25,f21]) ).
fof(f29,plain,
( ~ sQ3_spl
| sQ2_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f10,f15,f21,f25]) ).
fof(f30,definition,
( sQ4_spl
<=> b ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f33,plain,
( ~ sQ1_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f11,f30,f18]) ).
fof(f34,definition,
( sQ5_spl
<=> c ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f37,plain,
( ~ sQ0_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f12,f34,f15]) ).
fof(f38,plain,
( ~ sQ5_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f13,f15,f34]) ).
fof(f39,plain,
( ~ sQ4_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f14,f18,f30]) ).
fof(f40,plain,
$false,
inference(sat_refutation,[status(thm)],[f24,f28,f29,f33,f37,f38,f39]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN032-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n010.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Mon Sep 21 10:39:55 UTC 2026
% 0.10/0.35 % CPUTime :
% 0.10/0.36 % Drodi V4.1.1
% 0.14/0.38 % Refutation found
% 0.14/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.40 % Elapsed time: 0.042321 seconds
% 0.14/0.40 % CPU time: 0.104361 seconds
% 0.14/0.40 % Total memory used: 16.450 MB
% 0.14/0.40 % Net memory used: 15.881 MB
%------------------------------------------------------------------------------