%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : AGT016+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 : n026.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 0.09s 0.56s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 6
% Syntax : Number of formulae : 29 ( 14 unt; 0 def)
% Number of atoms : 95 ( 0 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 113 ( 47 ~; 42 |; 22 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-4 aty)
% Number of functors : 15 ( 15 usr; 15 con; 0-0 aty)
% Number of variables : 40 ( 36 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,C,N,L] :
( accept_team(A,L,C,N)
<=> ( accept_number(A,N)
& accept_leader(A,L)
& accept_city(A,C) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
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/sandbox/benchmark/theBenchmark.p') ).
fof(f121,axiom,
accept_team(muslimcountrybhumanitarianorganization,countrybhumanitarianorganization,townc,n6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f202,axiom,
~ accept_team(muslimcountrybhumanitarianorganization,countrybhumanitarianorganization,towna,n2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f203,axiom,
accept_number(muslimcountrybhumanitarianorganization,n2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f556,conjecture,
? [X,Y] : ~ accept_population(muslimcountrybhumanitarianorganization,X,Y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f557,negated_conjecture,
~ ? [X,Y] : ~ accept_population(muslimcountrybhumanitarianorganization,X,Y),
inference(negated_conjecture,[status(cth)],[f556]) ).
fof(f558,plain,
! [A,C,N,L] :
( ( ~ accept_number(A,N)
| ~ accept_leader(A,L)
| ~ accept_city(A,C)
| accept_team(A,L,C,N) )
& ( ( accept_number(A,N)
& accept_leader(A,L)
& accept_city(A,C) )
| ~ accept_team(A,L,C,N) ) ),
inference(NNF_transformation,[status(thm)],[f1]) ).
fof(f559,plain,
( ! [A,C,N,L] :
( ~ accept_number(A,N)
| ~ accept_leader(A,L)
| ~ accept_city(A,C)
| accept_team(A,L,C,N) )
& ! [A,C,N,L] :
( ( accept_number(A,N)
& accept_leader(A,L)
& accept_city(A,C) )
| ~ accept_team(A,L,C,N) ) ),
inference(miniscoping,[status(thm)],[f558]) ).
fof(f561,plain,
! [X0,X1,X2,X3] :
( accept_leader(X0,X1)
| ~ accept_team(X0,X1,X2,X3) ),
inference(cnf_transformation,[status(thm)],[f559]) ).
fof(f563,plain,
! [X0,X1,X2,X3] :
( ~ accept_number(X0,X3)
| ~ accept_leader(X0,X1)
| ~ accept_city(X0,X2)
| accept_team(X0,X1,X2,X3) ),
inference(cnf_transformation,[status(thm)],[f559]) ).
fof(f644,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(f645,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)],[f644]) ).
fof(f646,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)],[f645]) ).
fof(f784,plain,
accept_team(muslimcountrybhumanitarianorganization,countrybhumanitarianorganization,townc,n6),
inference(cnf_transformation,[status(thm)],[f121]) ).
fof(f865,plain,
~ accept_team(muslimcountrybhumanitarianorganization,countrybhumanitarianorganization,towna,n2),
inference(cnf_transformation,[status(thm)],[f202]) ).
fof(f866,plain,
accept_number(muslimcountrybhumanitarianorganization,n2),
inference(cnf_transformation,[status(thm)],[f203]) ).
fof(f1245,plain,
! [X,Y] : accept_population(muslimcountrybhumanitarianorganization,X,Y),
inference(pre_NNF_transformation,[status(thm)],[f557]) ).
fof(f1246,plain,
! [X0,X1] : accept_population(muslimcountrybhumanitarianorganization,X0,X1),
inference(cnf_transformation,[status(thm)],[f1245]) ).
fof(f1255,plain,
accept_leader(muslimcountrybhumanitarianorganization,countrybhumanitarianorganization),
inference(resolution,[status(thm)],[f561,f784]) ).
fof(f1262,plain,
! [X0,X1] :
( ~ accept_leader(muslimcountrybhumanitarianorganization,X0)
| ~ accept_city(muslimcountrybhumanitarianorganization,X1)
| accept_team(muslimcountrybhumanitarianorganization,X0,X1,n2) ),
inference(resolution,[status(thm)],[f563,f866]) ).
fof(f1360,plain,
! [X0] :
( ~ accept_city(muslimcountrybhumanitarianorganization,X0)
| accept_team(muslimcountrybhumanitarianorganization,countrybhumanitarianorganization,X0,n2) ),
inference(resolution,[status(thm)],[f1262,f1255]) ).
fof(f1464,plain,
( accept_city(muslimcountrybhumanitarianorganization,towna)
| ~ accept_population(muslimcountrybhumanitarianorganization,other,n0)
| ~ accept_population(muslimcountrybhumanitarianorganization,native,n0)
| ~ accept_population(muslimcountrybhumanitarianorganization,muslim,n1)
| ~ accept_population(muslimcountrybhumanitarianorganization,atheist,n75) ),
inference(resolution,[status(thm)],[f646,f1246]) ).
fof(f1468,plain,
( accept_city(muslimcountrybhumanitarianorganization,towna)
| ~ accept_population(muslimcountrybhumanitarianorganization,other,n0)
| ~ accept_population(muslimcountrybhumanitarianorganization,native,n0)
| ~ accept_population(muslimcountrybhumanitarianorganization,muslim,n1) ),
inference(forward_subsumption_resolution,[status(thm)],[f1464,f1246]) ).
fof(f1486,plain,
( accept_city(muslimcountrybhumanitarianorganization,towna)
| ~ accept_population(muslimcountrybhumanitarianorganization,other,n0)
| ~ accept_population(muslimcountrybhumanitarianorganization,native,n0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1468,f1246]) ).
fof(f1487,plain,
( accept_city(muslimcountrybhumanitarianorganization,towna)
| ~ accept_population(muslimcountrybhumanitarianorganization,native,n0) ),
inference(resolution,[status(thm)],[f1486,f1246]) ).
fof(f1488,plain,
accept_city(muslimcountrybhumanitarianorganization,towna),
inference(forward_subsumption_resolution,[status(thm)],[f1487,f1246]) ).
fof(f1573,plain,
accept_team(muslimcountrybhumanitarianorganization,countrybhumanitarianorganization,towna,n2),
inference(resolution,[status(thm)],[f1360,f1488]) ).
fof(f1584,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f1573,f865]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : AGT016+1 : TPTP v9.3.1. Bugfixed v3.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.52 % Computer : n026.cluster.edu
% 0.09/0.52 % Model : x86_64 x86_64
% 0.09/0.52 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.52 % Memory : 8046.5625MB
% 0.09/0.52 % OS : Linux 6.8.0-71-generic
% 0.09/0.52 % CPULimit : 300
% 0.09/0.52 % WCLimit : 300
% 0.09/0.52 % DateTime : Mon Sep 21 12:51:54 UTC 2026
% 0.09/0.52 % CPUTime :
% 0.09/0.53 % Drodi V4.1.1
% 0.09/0.56 % Refutation found
% 0.09/0.56 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/0.56 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.16/0.60 % Elapsed time: 0.073631 seconds
% 0.16/0.60 % CPU time: 0.190028 seconds
% 0.16/0.60 % Total memory used: 105.467 MB
% 0.16/0.60 % Net memory used: 105.353 MB
%------------------------------------------------------------------------------