%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : AGT016+2 : TPTP v9.3.1. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n013.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 5.45s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of formulae : 33 ( 12 unt; 5 def)
% Number of atoms : 88 ( 0 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 92 ( 37 ~; 35 |; 14 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 6 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 11 con; 0-0 aty)
% Number of variables : 13 ( 9 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f16,axiom,
! [A] :
( ( accept_population(A,other,n0)
& accept_population(A,native,n0)
& accept_population(A,muslim,n1)
& accept_population(A,christian,n24)
& accept_population(A,atheist,n75) )
<=> accept_city(A,towna) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f635,axiom,
~ accept_city(muslimcountrybhumanitarianorganization,towna),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f923,conjecture,
? [X,Y] : ~ accept_population(muslimcountrybhumanitarianorganization,X,Y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f924,negated_conjecture,
~ ? [X,Y] : ~ accept_population(muslimcountrybhumanitarianorganization,X,Y),
inference(negated_conjecture,[status(cth)],[f923]) ).
fof(f1011,plain,
! [A] :
( ( ~ accept_city(A,towna)
| ( accept_population(A,other,n0)
& accept_population(A,native,n0)
& accept_population(A,muslim,n1)
& accept_population(A,christian,n24)
& accept_population(A,atheist,n75) ) )
& ( accept_city(A,towna)
| ~ accept_population(A,other,n0)
| ~ accept_population(A,native,n0)
| ~ accept_population(A,muslim,n1)
| ~ accept_population(A,christian,n24)
| ~ accept_population(A,atheist,n75) ) ),
inference(NNF_transformation,[status(thm)],[f16]) ).
fof(f1012,plain,
( ! [A] :
( ~ accept_city(A,towna)
| ( accept_population(A,other,n0)
& accept_population(A,native,n0)
& accept_population(A,muslim,n1)
& accept_population(A,christian,n24)
& accept_population(A,atheist,n75) ) )
& ! [A] :
( accept_city(A,towna)
| ~ accept_population(A,other,n0)
| ~ accept_population(A,native,n0)
| ~ accept_population(A,muslim,n1)
| ~ accept_population(A,christian,n24)
| ~ accept_population(A,atheist,n75) ) ),
inference(miniscoping,[status(thm)],[f1011]) ).
fof(f1013,plain,
! [X0] :
( accept_city(X0,towna)
| ~ accept_population(X0,other,n0)
| ~ accept_population(X0,native,n0)
| ~ accept_population(X0,muslim,n1)
| ~ accept_population(X0,christian,n24)
| ~ accept_population(X0,atheist,n75) ),
inference(cnf_transformation,[status(thm)],[f1012]) ).
fof(f1665,plain,
~ accept_city(muslimcountrybhumanitarianorganization,towna),
inference(cnf_transformation,[status(thm)],[f635]) ).
fof(f1979,plain,
! [X,Y] : accept_population(muslimcountrybhumanitarianorganization,X,Y),
inference(pre_NNF_transformation,[status(thm)],[f924]) ).
fof(f1980,plain,
! [X0,X1] : accept_population(muslimcountrybhumanitarianorganization,X0,X1),
inference(cnf_transformation,[status(thm)],[f1979]) ).
fof(f2019,plain,
( ~ accept_population(muslimcountrybhumanitarianorganization,other,n0)
| ~ accept_population(muslimcountrybhumanitarianorganization,native,n0)
| ~ accept_population(muslimcountrybhumanitarianorganization,muslim,n1)
| ~ accept_population(muslimcountrybhumanitarianorganization,christian,n24)
| ~ accept_population(muslimcountrybhumanitarianorganization,atheist,n75) ),
inference(resolution,[status(thm)],[f1013,f1665]) ).
fof(f2020,definition,
( sQ2_spl
<=> accept_population(muslimcountrybhumanitarianorganization,atheist,n75) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f2022,plain,
( sQ2_spl
| ~ accept_population(muslimcountrybhumanitarianorganization,atheist,n75) ),
inference(component_clause,[status(thm)],[f2020]) ).
fof(f2023,definition,
( sQ3_spl
<=> accept_population(muslimcountrybhumanitarianorganization,muslim,n1) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f2025,plain,
( sQ3_spl
| ~ accept_population(muslimcountrybhumanitarianorganization,muslim,n1) ),
inference(component_clause,[status(thm)],[f2023]) ).
fof(f2026,definition,
( sQ4_spl
<=> accept_population(muslimcountrybhumanitarianorganization,native,n0) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f2028,plain,
( sQ4_spl
| ~ accept_population(muslimcountrybhumanitarianorganization,native,n0) ),
inference(component_clause,[status(thm)],[f2026]) ).
fof(f2029,definition,
( sQ5_spl
<=> accept_population(muslimcountrybhumanitarianorganization,other,n0) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f2031,plain,
( sQ5_spl
| ~ accept_population(muslimcountrybhumanitarianorganization,other,n0) ),
inference(component_clause,[status(thm)],[f2029]) ).
fof(f2033,definition,
( sQ6_spl
<=> accept_population(muslimcountrybhumanitarianorganization,christian,n24) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f2035,plain,
( sQ6_spl
| ~ accept_population(muslimcountrybhumanitarianorganization,christian,n24) ),
inference(component_clause,[status(thm)],[f2033]) ).
fof(f2037,plain,
( ~ sQ5_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ6_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f2019,f2020,f2033,f2023,f2026,f2029]) ).
fof(f2038,plain,
( sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2031,f1980]) ).
fof(f2039,plain,
sQ5_spl,
inference(contradiction_clause,[status(thm)],[f2038]) ).
fof(f2040,plain,
( sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2025,f1980]) ).
fof(f2041,plain,
sQ3_spl,
inference(contradiction_clause,[status(thm)],[f2040]) ).
fof(f2042,plain,
( sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2022,f1980]) ).
fof(f2043,plain,
sQ2_spl,
inference(contradiction_clause,[status(thm)],[f2042]) ).
fof(f2044,plain,
( sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2028,f1980]) ).
fof(f2045,plain,
sQ4_spl,
inference(contradiction_clause,[status(thm)],[f2044]) ).
fof(f2046,plain,
( sQ6_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2035,f1980]) ).
fof(f2047,plain,
sQ6_spl,
inference(contradiction_clause,[status(thm)],[f2046]) ).
fof(f2048,plain,
$false,
inference(sat_refutation,[status(thm)],[f2037,f2039,f2041,f2043,f2045,f2047]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : AGT016+2 : TPTP v9.3.1. Bugfixed v3.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/5.40 % Computer : n013.cluster.edu
% 0.14/5.40 % Model : x86_64 x86_64
% 0.14/5.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/5.40 % Memory : 8046.5625MB
% 0.14/5.40 % OS : Linux 6.8.0-71-generic
% 0.14/5.40 % CPULimit : 300
% 0.14/5.40 % WCLimit : 300
% 0.14/5.40 % DateTime : Mon Sep 21 12:48:42 UTC 2026
% 0.14/5.40 % CPUTime :
% 0.14/5.43 % Drodi V4.1.1
% 0.14/5.45 % Refutation found
% 0.14/5.45 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/5.45 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.16/5.50 % Elapsed time: 0.091070 seconds
% 0.16/5.50 % CPU time: 0.189539 seconds
% 0.16/5.50 % Total memory used: 80.696 MB
% 0.16/5.50 % Net memory used: 80.623 MB
%------------------------------------------------------------------------------