%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : AGT016+2 : TPTP v9.3.1. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /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 : Sun Sep 27 06:45:49 AM UTC 2026
% Result : Theorem 0.38s 0.48s
% Output : CNFRefutation 0.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of formulae : 13 ( 7 unt; 0 def)
% Number of atoms : 33 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 40 ( 20 ~; 15 |; 4 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 11 con; 0-0 aty)
% Number of variables : 8 ( 2 sgn 1 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(a2_9,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('theBenchmark.p',a2_9) ).
fof(query_16,conjecture,
? [X,Y] : ~ accept_population(muslimcountrybhumanitarianorganization,X,Y),
file('theBenchmark.p',query_16) ).
fof(query_16_neg,negated_conjecture,
~ ? [X,Y] : ~ accept_population(muslimcountrybhumanitarianorganization,X,Y),
inference(assume_negation,[status(cth)],[query_16]) ).
cnf(c_86,plain,
( 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(clausify,[status(thm)],[a2_9]) ).
fof(deduced_366,axiom,
~ accept_city(muslimcountrybhumanitarianorganization,towna),
file('theBenchmark.p',deduced_366) ).
cnf(c_983,plain,
~ accept_city(muslimcountrybhumanitarianorganization,towna),
inference(clausify,[status(thm)],[deduced_366]) ).
cnf(c_992,negated_conjecture,
accept_population(muslimcountrybhumanitarianorganization,A,B),
inference(clausify,[status(thm)],[query_16_neg]) ).
cnf(c_1008,negated_conjecture,
( accept_city(muslimcountrybhumanitarianorganization,towna)
| ~ accept_population(muslimcountrybhumanitarianorganization,other,n0)
| ~ accept_population(muslimcountrybhumanitarianorganization,muslim,n1)
| ~ accept_population(muslimcountrybhumanitarianorganization,christian,n24)
| ~ accept_population(muslimcountrybhumanitarianorganization,atheist,n75) ),
inference(resolve,[status(thm)],[c_992,c_86]) ).
cnf(c_1009,negated_conjecture,
( accept_city(muslimcountrybhumanitarianorganization,towna)
| ~ accept_population(muslimcountrybhumanitarianorganization,other,n0)
| ~ accept_population(muslimcountrybhumanitarianorganization,muslim,n1)
| ~ accept_population(muslimcountrybhumanitarianorganization,christian,n24) ),
inference(resolve,[status(thm)],[c_992,c_1008]) ).
cnf(c_1010,negated_conjecture,
( accept_city(muslimcountrybhumanitarianorganization,towna)
| ~ accept_population(muslimcountrybhumanitarianorganization,other,n0)
| ~ accept_population(muslimcountrybhumanitarianorganization,muslim,n1) ),
inference(resolve,[status(thm)],[c_992,c_1009]) ).
cnf(c_1011,negated_conjecture,
( accept_city(muslimcountrybhumanitarianorganization,towna)
| ~ accept_population(muslimcountrybhumanitarianorganization,other,n0) ),
inference(resolve,[status(thm)],[c_992,c_1010]) ).
cnf(c_1012,negated_conjecture,
accept_city(muslimcountrybhumanitarianorganization,towna),
inference(resolve,[status(thm)],[c_992,c_1011]) ).
cnf(c_1007,negated_conjecture,
$false,
inference(resolve,[status(thm)],[c_983,c_1012]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : AGT016+2 : TPTP v9.3.1. Bugfixed v3.1.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.37 % Computer : n016.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sat Sep 26 20:58:46 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.09/0.37 % Process 1708360 was started by sandbox on n016,
% 0.09/0.37 % Sat Sep 26 20:58:46 2026
% 0.09/0.37 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.09/0.40
% 0.09/0.40 % From the command line: assign(max_seconds, 300).
% 0.09/0.40
% 0.09/0.40 % SInE: 539 to sos, 383 to usable, of 922 axioms (tolerance 2.00, depth 0 fixpoint).
% 0.38/0.48
% 0.38/0.48 % SZS status Theorem for theBenchmark
% 0.38/0.48
% 0.38/0.48 % Proof 1 at 0.05 (+ 0.02) seconds.
% 0.38/0.48 % Length of proof is 6.
% 0.38/0.48 % Level of proof is 2.
% 0.38/0.48 % Maximum clause weight is 4.000.
% 0.38/0.48 % Given clauses 42.
% 0.38/0.48
% 0.38/0.48 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------