%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : AGT014+1 : TPTP v9.3.1. Bugfixed v3.1.0.
% 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 11:47:13 AM UTC 2026
% Result : Theorem 0.23s 0.56s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 12
% Syntax : Number of formulae : 48 ( 14 unt; 6 def)
% Number of atoms : 122 ( 0 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 127 ( 53 ~; 50 |; 15 &)
% ( 7 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 12 ( 11 usr; 7 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 12 con; 0-0 aty)
% Number of variables : 40 ( 34 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [A,L,C] :
( any_agent_in_all_proposed_teams(A,L,C)
=> accept_leader(A,L) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [A,L,C] :
( the_agent_not_in_any_proposed_teams(A,L,C)
=> ~ ( accept_leader(A,L)
& accept_city(A,C) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
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(f57,axiom,
the_agent_not_in_any_proposed_teams(countryamedicalorganization,christiancountrychumanitarianorganization,coastvillage),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f58,axiom,
any_agent_in_all_proposed_teams(countryamedicalorganization,christiancountrychumanitarianorganization,coastvillage),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f556,conjecture,
? [X,Y,Z] : ~ accept_population(X,Y,Z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f557,negated_conjecture,
~ ? [X,Y,Z] : ~ accept_population(X,Y,Z),
inference(negated_conjecture,[status(cth)],[f556]) ).
fof(f573,plain,
! [A,L,C] :
( accept_leader(A,L)
| ~ any_agent_in_all_proposed_teams(A,L,C) ),
inference(pre_NNF_transformation,[status(thm)],[f5]) ).
fof(f574,plain,
! [A,L] :
( accept_leader(A,L)
| ! [C] : ~ any_agent_in_all_proposed_teams(A,L,C) ),
inference(miniscoping,[status(thm)],[f573]) ).
fof(f575,plain,
! [X0,X1,X2] :
( accept_leader(X0,X1)
| ~ any_agent_in_all_proposed_teams(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f574]) ).
fof(f576,plain,
! [A,L,C] :
( ~ accept_leader(A,L)
| ~ accept_city(A,C)
| ~ the_agent_not_in_any_proposed_teams(A,L,C) ),
inference(pre_NNF_transformation,[status(thm)],[f6]) ).
fof(f577,plain,
! [X0,X1,X2] :
( ~ accept_leader(X0,X1)
| ~ accept_city(X0,X2)
| ~ the_agent_not_in_any_proposed_teams(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f576]) ).
fof(f628,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(f629,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)],[f628]) ).
fof(f630,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)],[f629]) ).
fof(f720,plain,
the_agent_not_in_any_proposed_teams(countryamedicalorganization,christiancountrychumanitarianorganization,coastvillage),
inference(cnf_transformation,[status(thm)],[f57]) ).
fof(f721,plain,
any_agent_in_all_proposed_teams(countryamedicalorganization,christiancountrychumanitarianorganization,coastvillage),
inference(cnf_transformation,[status(thm)],[f58]) ).
fof(f1245,plain,
! [X,Y,Z] : accept_population(X,Y,Z),
inference(pre_NNF_transformation,[status(thm)],[f557]) ).
fof(f1246,plain,
! [X0,X1,X2] : accept_population(X0,X1,X2),
inference(cnf_transformation,[status(thm)],[f1245]) ).
fof(f1261,plain,
( ~ accept_leader(countryamedicalorganization,christiancountrychumanitarianorganization)
| ~ accept_city(countryamedicalorganization,coastvillage) ),
inference(resolution,[status(thm)],[f720,f577]) ).
fof(f1262,definition,
( sQ2_spl
<=> accept_city(countryamedicalorganization,coastvillage) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f1264,plain,
( sQ2_spl
| ~ accept_city(countryamedicalorganization,coastvillage) ),
inference(component_clause,[status(thm)],[f1262]) ).
fof(f1265,definition,
( sQ3_spl
<=> accept_leader(countryamedicalorganization,christiancountrychumanitarianorganization) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f1267,plain,
( sQ3_spl
| ~ accept_leader(countryamedicalorganization,christiancountrychumanitarianorganization) ),
inference(component_clause,[status(thm)],[f1265]) ).
fof(f1268,plain,
( ~ sQ3_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f1261,f1262,f1265]) ).
fof(f1296,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)],[f630,f1246]) ).
fof(f1300,plain,
( sQ2_spl
| ~ accept_population(countryamedicalorganization,other,n0)
| ~ accept_population(countryamedicalorganization,native,n85)
| ~ accept_population(countryamedicalorganization,muslim,n0)
| ~ accept_population(countryamedicalorganization,christian,n3) ),
inference(resolution,[status(thm)],[f1296,f1264]) ).
fof(f1304,definition,
( sQ9_spl
<=> accept_population(countryamedicalorganization,christian,n3) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f1306,plain,
( sQ9_spl
| ~ accept_population(countryamedicalorganization,christian,n3) ),
inference(component_clause,[status(thm)],[f1304]) ).
fof(f1307,definition,
( sQ10_spl
<=> accept_population(countryamedicalorganization,muslim,n0) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f1309,plain,
( sQ10_spl
| ~ accept_population(countryamedicalorganization,muslim,n0) ),
inference(component_clause,[status(thm)],[f1307]) ).
fof(f1310,definition,
( sQ11_spl
<=> accept_population(countryamedicalorganization,native,n85) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f1312,plain,
( sQ11_spl
| ~ accept_population(countryamedicalorganization,native,n85) ),
inference(component_clause,[status(thm)],[f1310]) ).
fof(f1313,definition,
( sQ12_spl
<=> accept_population(countryamedicalorganization,other,n0) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f1315,plain,
( sQ12_spl
| ~ accept_population(countryamedicalorganization,other,n0) ),
inference(component_clause,[status(thm)],[f1313]) ).
fof(f1316,plain,
( sQ2_spl
| ~ sQ12_spl
| ~ sQ11_spl
| ~ sQ10_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f1300,f1304,f1307,f1310,f1313,f1262]) ).
fof(f1317,plain,
( sQ12_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1315,f1246]) ).
fof(f1318,plain,
sQ12_spl,
inference(contradiction_clause,[status(thm)],[f1317]) ).
fof(f1319,plain,
( sQ11_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1312,f1246]) ).
fof(f1320,plain,
sQ11_spl,
inference(contradiction_clause,[status(thm)],[f1319]) ).
fof(f1321,plain,
( sQ10_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1309,f1246]) ).
fof(f1322,plain,
sQ10_spl,
inference(contradiction_clause,[status(thm)],[f1321]) ).
fof(f1323,plain,
( sQ9_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1306,f1246]) ).
fof(f1324,plain,
sQ9_spl,
inference(contradiction_clause,[status(thm)],[f1323]) ).
fof(f1327,plain,
! [X0] :
( sQ3_spl
| ~ any_agent_in_all_proposed_teams(countryamedicalorganization,christiancountrychumanitarianorganization,X0) ),
inference(resolution,[status(thm)],[f1267,f575]) ).
fof(f1330,plain,
( sQ3_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f721,f1327]) ).
fof(f1331,plain,
sQ3_spl,
inference(contradiction_clause,[status(thm)],[f1330]) ).
fof(f1332,plain,
$false,
inference(sat_refutation,[status(thm)],[f1268,f1316,f1318,f1320,f1322,f1324,f1331]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : AGT014+1 : TPTP v9.3.1. Bugfixed v3.1.0.
% 0.00/0.07 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.49 % Computer : n016.cluster.edu
% 0.20/0.49 % Model : x86_64 x86_64
% 0.20/0.49 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.49 % Memory : 8046.5625MB
% 0.20/0.49 % OS : Linux 6.8.0-71-generic
% 0.20/0.49 % CPULimit : 300
% 0.20/0.49 % WCLimit : 300
% 0.20/0.49 % DateTime : Mon Sep 21 12:53:38 UTC 2026
% 0.20/0.50 % CPUTime :
% 0.23/0.55 % Drodi V4.1.1
% 0.23/0.56 % Refutation found
% 0.23/0.56 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.23/0.56 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.23/0.61 % Elapsed time: 0.096282 seconds
% 0.23/0.61 % CPU time: 0.145971 seconds
% 0.23/0.61 % Total memory used: 16.599 MB
% 0.23/0.61 % Net memory used: 16.585 MB
%------------------------------------------------------------------------------