%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : PUZ013-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/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 01:59:51 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.39s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 15
% Syntax : Number of formulae : 38 ( 10 unt; 7 def)
% Number of atoms : 81 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 77 ( 34 ~; 36 |; 0 &)
% ( 7 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 15 ( 14 usr; 15 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
( some_monitors_are_awake
| ~ some_english_sing_not
| ~ some_english_sing ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
( some_germans_play
| ~ some_irish_fight_not
| ~ some_scotch_dance_not ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
( ~ some_germans_play
| ~ some_scotch_dance_not
| some_english_sing_not
| ~ some_english_sing ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
( some_irish_fight_not
| ~ some_monitors_are_not_awake
| ~ some_english_sing ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,axiom,
( some_monitors_are_awake
| some_monitors_are_not_awake ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,axiom,
some_english_sing,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,axiom,
some_scotch_dance_not,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,negated_conjecture,
~ some_monitors_are_awake,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,plain,
( some_monitors_are_awake
| ~ some_english_sing_not
| ~ some_english_sing ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f26,plain,
( some_germans_play
| ~ some_irish_fight_not
| ~ some_scotch_dance_not ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f29,plain,
( ~ some_germans_play
| ~ some_scotch_dance_not
| some_english_sing_not
| ~ some_english_sing ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f30,plain,
( some_irish_fight_not
| ~ some_monitors_are_not_awake
| ~ some_english_sing ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f33,plain,
( some_monitors_are_awake
| some_monitors_are_not_awake ),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f38,plain,
some_english_sing,
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f39,plain,
some_scotch_dance_not,
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f40,plain,
~ some_monitors_are_awake,
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f41,definition,
( sQ0_spl
<=> some_english_sing ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f43,plain,
( sQ0_spl
| ~ some_english_sing ),
inference(component_clause,[status(thm)],[f41]) ).
fof(f44,definition,
( sQ1_spl
<=> some_english_sing_not ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f47,definition,
( sQ2_spl
<=> some_monitors_are_awake ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f48,plain,
( ~ sQ2_spl
| some_monitors_are_awake ),
inference(component_clause,[status(thm)],[f47]) ).
fof(f50,plain,
( sQ2_spl
| ~ sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f21,f41,f44,f47]) ).
fof(f61,definition,
( sQ6_spl
<=> some_germans_play ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f71,definition,
( sQ9_spl
<=> some_monitors_are_not_awake ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f79,definition,
( sQ11_spl
<=> some_scotch_dance_not ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f81,plain,
( sQ11_spl
| ~ some_scotch_dance_not ),
inference(component_clause,[status(thm)],[f79]) ).
fof(f82,definition,
( sQ12_spl
<=> some_irish_fight_not ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f85,plain,
( sQ6_spl
| ~ sQ12_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f26,f79,f82,f61]) ).
fof(f88,plain,
( ~ sQ6_spl
| ~ sQ11_spl
| sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f29,f41,f44,f79,f61]) ).
fof(f89,plain,
( sQ12_spl
| ~ sQ9_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f30,f41,f71,f82]) ).
fof(f92,plain,
( sQ2_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f33,f71,f47]) ).
fof(f97,plain,
( sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f43,f38]) ).
fof(f98,plain,
sQ0_spl,
inference(contradiction_clause,[status(thm)],[f97]) ).
fof(f99,plain,
( sQ11_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f81,f39]) ).
fof(f100,plain,
sQ11_spl,
inference(contradiction_clause,[status(thm)],[f99]) ).
fof(f101,plain,
( ~ sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f48,f40]) ).
fof(f102,plain,
~ sQ2_spl,
inference(contradiction_clause,[status(thm)],[f101]) ).
fof(f103,plain,
$false,
inference(sat_refutation,[status(thm)],[f50,f85,f88,f89,f92,f98,f100,f102]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ013-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n016.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 03:50:24 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.09/0.39 % Refutation found
% 0.09/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.09/0.41 % Elapsed time: 0.041858 seconds
% 0.09/0.41 % CPU time: 0.108426 seconds
% 0.09/0.41 % Total memory used: 16.839 MB
% 0.09/0.41 % Net memory used: 16.500 MB
%------------------------------------------------------------------------------