%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : AGT004+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 : n010.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 06:45:47 AM UTC 2026
% Result : Theorem 0.14s 0.69s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 9 ( 7 unt; 0 def)
% Number of atoms : 13 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 10 ( 6 ~; 1 |; 2 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-4 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 8 ( 2 sgn 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(a1_1,axiom,
! [A,C,N,L] :
( accept_team(A,L,C,N)
<=> ( accept_number(A,N)
& accept_leader(A,L)
& accept_city(A,C) ) ),
file('theBenchmark.p',a1_1) ).
fof(query_4,conjecture,
~ accept_team(countryamedicalorganization,countryahumanitarianorganization,coastvillage,n5),
file('theBenchmark.p',query_4) ).
fof(query_4_neg,negated_conjecture,
~ ~ accept_team(countryamedicalorganization,countryahumanitarianorganization,coastvillage,n5),
inference(assume_negation,[status(cth)],[query_4]) ).
cnf(c_486,plain,
( accept_city(A,C)
| ~ accept_team(A,B,C,D) ),
inference(clausify,[status(thm)],[a1_1]) ).
fof(deduced_13,axiom,
~ accept_city(countryamedicalorganization,coastvillage),
file('theBenchmark.p',deduced_13) ).
cnf(c_747,plain,
~ accept_city(countryamedicalorganization,coastvillage),
inference(clausify,[status(thm)],[deduced_13]) ).
cnf(c_992,negated_conjecture,
accept_team(countryamedicalorganization,countryahumanitarianorganization,coastvillage,n5),
inference(clausify,[status(thm)],[query_4_neg]) ).
cnf(c_1033,negated_conjecture,
accept_city(countryamedicalorganization,coastvillage),
inference(resolve,[status(thm)],[c_992,c_486]) ).
cnf(c_1032,negated_conjecture,
$false,
inference(resolve,[status(thm)],[c_747,c_1033]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : AGT004+2 : TPTP v9.3.1. Bugfixed v3.1.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.57 % Computer : n010.cluster.edu
% 0.09/0.57 % Model : x86_64 x86_64
% 0.09/0.57 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.57 % Memory : 8046.5625MB
% 0.09/0.57 % OS : Linux 6.8.0-71-generic
% 0.09/0.57 % CPULimit : 300
% 0.09/0.57 % WCLimit : 300
% 0.09/0.57 % DateTime : Sat Sep 26 20:51:46 UTC 2026
% 0.09/0.57 % CPUTime :
% 0.09/0.58 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.09/0.58 % Process 9047 was started by sandbox on n010,
% 0.09/0.58 % Sat Sep 26 20:51:46 2026
% 0.09/0.58 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.09/0.59
% 0.09/0.59 % From the command line: assign(max_seconds, 300).
% 0.09/0.59
% 0.09/0.59 % SInE: 539 to sos, 383 to usable, of 922 axioms (tolerance 2.00, depth 0 fixpoint).
% 0.14/0.69
% 0.14/0.69 % SZS status Theorem for theBenchmark
% 0.14/0.69
% 0.14/0.69 % Proof 1 at 0.07 (+ 0.03) seconds.
% 0.14/0.69 % Length of proof is 6.
% 0.14/0.69 % Level of proof is 2.
% 0.14/0.69 % Maximum clause weight is 108.000.
% 0.14/0.69 % Given clauses 211.
% 0.14/0.69
% 0.14/0.69 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------