%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : AGT014+2 : TPTP v9.3.1. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n003.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 11:47:13 AM UTC 2026
% Result : Theorem 0.14s 0.40s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of formulae : 30 ( 11 unt; 4 def)
% Number of atoms : 84 ( 0 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 92 ( 38 ~; 35 |; 14 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 5 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 11 con; 0-0 aty)
% Number of variables : 18 ( 12 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f14,axiom,
! [A] :
( ( accept_population(A,other,n0)
& accept_population(A,native,n85)
& accept_population(A,muslim,n0)
& accept_population(A,christian,n3)
& accept_population(A,atheist,n12) )
<=> accept_city(A,coastvillage) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f282,axiom,
~ accept_city(countryamedicalorganization,coastvillage),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f923,conjecture,
? [X,Y,Z] : ~ accept_population(X,Y,Z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f924,negated_conjecture,
~ ? [X,Y,Z] : ~ accept_population(X,Y,Z),
inference(negated_conjecture,[status(cth)],[f923]) ).
fof(f995,plain,
! [A] :
( ( ~ accept_city(A,coastvillage)
| ( accept_population(A,other,n0)
& accept_population(A,native,n85)
& accept_population(A,muslim,n0)
& accept_population(A,christian,n3)
& accept_population(A,atheist,n12) ) )
& ( accept_city(A,coastvillage)
| ~ accept_population(A,other,n0)
| ~ accept_population(A,native,n85)
| ~ accept_population(A,muslim,n0)
| ~ accept_population(A,christian,n3)
| ~ accept_population(A,atheist,n12) ) ),
inference(NNF_transformation,[status(thm)],[f14]) ).
fof(f996,plain,
( ! [A] :
( ~ accept_city(A,coastvillage)
| ( accept_population(A,other,n0)
& accept_population(A,native,n85)
& accept_population(A,muslim,n0)
& accept_population(A,christian,n3)
& accept_population(A,atheist,n12) ) )
& ! [A] :
( accept_city(A,coastvillage)
| ~ accept_population(A,other,n0)
| ~ accept_population(A,native,n85)
| ~ accept_population(A,muslim,n0)
| ~ accept_population(A,christian,n3)
| ~ accept_population(A,atheist,n12) ) ),
inference(miniscoping,[status(thm)],[f995]) ).
fof(f997,plain,
! [X0] :
( accept_city(X0,coastvillage)
| ~ accept_population(X0,other,n0)
| ~ accept_population(X0,native,n85)
| ~ accept_population(X0,muslim,n0)
| ~ accept_population(X0,christian,n3)
| ~ accept_population(X0,atheist,n12) ),
inference(cnf_transformation,[status(thm)],[f996]) ).
fof(f1312,plain,
~ accept_city(countryamedicalorganization,coastvillage),
inference(cnf_transformation,[status(thm)],[f282]) ).
fof(f1979,plain,
! [X,Y,Z] : accept_population(X,Y,Z),
inference(pre_NNF_transformation,[status(thm)],[f924]) ).
fof(f1980,plain,
! [X0,X1,X2] : accept_population(X0,X1,X2),
inference(cnf_transformation,[status(thm)],[f1979]) ).
fof(f1996,plain,
! [X0] :
( accept_city(X0,coastvillage)
| ~ accept_population(X0,other,n0)
| ~ accept_population(X0,native,n85)
| ~ accept_population(X0,muslim,n0)
| ~ accept_population(X0,christian,n3) ),
inference(forward_subsumption_resolution,[status(thm)],[f997,f1980]) ).
fof(f2000,plain,
( ~ accept_population(countryamedicalorganization,other,n0)
| ~ accept_population(countryamedicalorganization,native,n85)
| ~ accept_population(countryamedicalorganization,muslim,n0)
| ~ accept_population(countryamedicalorganization,christian,n3) ),
inference(resolution,[status(thm)],[f1996,f1312]) ).
fof(f2004,definition,
( sQ0_spl
<=> accept_population(countryamedicalorganization,christian,n3) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f2006,plain,
( sQ0_spl
| ~ accept_population(countryamedicalorganization,christian,n3) ),
inference(component_clause,[status(thm)],[f2004]) ).
fof(f2007,definition,
( sQ1_spl
<=> accept_population(countryamedicalorganization,muslim,n0) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f2009,plain,
( sQ1_spl
| ~ accept_population(countryamedicalorganization,muslim,n0) ),
inference(component_clause,[status(thm)],[f2007]) ).
fof(f2010,definition,
( sQ2_spl
<=> accept_population(countryamedicalorganization,native,n85) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f2012,plain,
( sQ2_spl
| ~ accept_population(countryamedicalorganization,native,n85) ),
inference(component_clause,[status(thm)],[f2010]) ).
fof(f2013,definition,
( sQ3_spl
<=> accept_population(countryamedicalorganization,other,n0) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f2015,plain,
( sQ3_spl
| ~ accept_population(countryamedicalorganization,other,n0) ),
inference(component_clause,[status(thm)],[f2013]) ).
fof(f2016,plain,
( ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f2000,f2004,f2007,f2010,f2013]) ).
fof(f2017,plain,
( sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2015,f1980]) ).
fof(f2018,plain,
sQ3_spl,
inference(contradiction_clause,[status(thm)],[f2017]) ).
fof(f2019,plain,
( sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2012,f1980]) ).
fof(f2020,plain,
sQ2_spl,
inference(contradiction_clause,[status(thm)],[f2019]) ).
fof(f2021,plain,
( sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2006,f1980]) ).
fof(f2022,plain,
sQ0_spl,
inference(contradiction_clause,[status(thm)],[f2021]) ).
fof(f2023,plain,
( sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2009,f1980]) ).
fof(f2024,plain,
sQ1_spl,
inference(contradiction_clause,[status(thm)],[f2023]) ).
fof(f2025,plain,
$false,
inference(sat_refutation,[status(thm)],[f2016,f2018,f2020,f2022,f2024]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : AGT014+2 : TPTP v9.3.1. Bugfixed v3.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n003.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 12:50:46 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.14/0.38 % Drodi V4.1.1
% 0.14/0.40 % Refutation found
% 0.14/0.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.45 % Elapsed time: 0.080586 seconds
% 0.14/0.45 % CPU time: 0.150727 seconds
% 0.14/0.45 % Total memory used: 58.624 MB
% 0.14/0.45 % Net memory used: 58.571 MB
%------------------------------------------------------------------------------