%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : AGT004+1 : 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 : n020.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 10.58s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 19 ( 13 unt; 0 def)
% Number of atoms : 30 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 24 ( 13 ~; 8 |; 2 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-4 aty)
% Number of functors : 7 ( 7 usr; 7 con; 0-0 aty)
% Number of variables : 19 ( 4 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_34,plain,
( accept_city(A,C)
| ~ accept_team(A,B,C,D) ),
inference(clausify,[status(thm)],[a1_1]) ).
cnf(c_35,plain,
( accept_leader(A,B)
| ~ accept_team(A,B,C,D) ),
inference(clausify,[status(thm)],[a1_1]) ).
cnf(c_37,plain,
( ~ accept_number(A,D)
| ~ accept_leader(A,B)
| ~ accept_city(A,C)
| accept_team(A,B,C,D) ),
inference(clausify,[status(thm)],[a1_1]) ).
fof(event_14,axiom,
accept_team(countryamedicalorganization,countryacivilorganization,cityb,n6),
file('theBenchmark.p',event_14) ).
cnf(c_422,plain,
accept_team(countryamedicalorganization,countryacivilorganization,cityb,n6),
inference(clausify,[status(thm)],[event_14]) ).
fof(event_35,axiom,
~ accept_team(countryamedicalorganization,countryacivilorganization,coastvillage,n6),
file('theBenchmark.p',event_35) ).
cnf(c_443,plain,
~ accept_team(countryamedicalorganization,countryacivilorganization,coastvillage,n6),
inference(clausify,[status(thm)],[event_35]) ).
fof(event_157,axiom,
accept_number(countryamedicalorganization,n6),
file('theBenchmark.p',event_157) ).
cnf(c_564,plain,
accept_number(countryamedicalorganization,n6),
inference(clausify,[status(thm)],[event_157]) ).
cnf(c_662,negated_conjecture,
accept_team(countryamedicalorganization,countryahumanitarianorganization,coastvillage,n5),
inference(clausify,[status(thm)],[query_4_neg]) ).
cnf(c_722,plain,
accept_leader(countryamedicalorganization,countryacivilorganization),
inference(resolve,[status(thm)],[c_422,c_35]) ).
cnf(c_727,plain,
( ~ accept_number(countryamedicalorganization,B)
| ~ accept_city(countryamedicalorganization,A)
| accept_team(countryamedicalorganization,countryacivilorganization,A,B) ),
inference(resolve,[status(thm)],[c_722,c_37]) ).
cnf(c_1231,plain,
accept_city(countryamedicalorganization,coastvillage),
inference(resolve,[status(thm)],[c_662,c_34]) ).
cnf(c_1500,plain,
( ~ accept_city(countryamedicalorganization,A)
| accept_team(countryamedicalorganization,countryacivilorganization,A,n6) ),
inference(resolve,[status(thm)],[c_727,c_564]) ).
cnf(c_1691,plain,
accept_team(countryamedicalorganization,countryacivilorganization,coastvillage,n6),
inference(resolve,[status(thm)],[c_1500,c_1231]) ).
cnf(c_1690,plain,
$false,
inference(resolve,[status(thm)],[c_443,c_1691]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : AGT004+1 : TPTP v9.3.1. Bugfixed v3.1.0.
% 0.00/0.03 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/10.38 % Computer : n020.cluster.edu
% 0.09/10.38 % Model : x86_64 x86_64
% 0.09/10.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/10.38 % Memory : 8046.5625MB
% 0.09/10.38 % OS : Linux 6.8.0-71-generic
% 0.09/10.38 % CPULimit : 300
% 0.09/10.38 % WCLimit : 300
% 0.09/10.38 % DateTime : Sat Sep 26 20:52:30 UTC 2026
% 0.09/10.38 % CPUTime :
% 0.09/10.38 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.09/10.38 % Process 2503658 was started by sandbox on n020,
% 0.09/10.38 % Sat Sep 26 20:52:30 2026
% 0.09/10.38 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.14/10.41
% 0.14/10.41 % From the command line: assign(max_seconds, 300).
% 0.14/10.41
% 0.14/10.41 % SInE: 252 to sos, 303 to usable, of 555 axioms (tolerance 2.00, depth 0 fixpoint).
% 0.14/10.58
% 0.14/10.58 % given #500 (T,wt=12): 896 -less(A,n3) | accept_population(countryahumanitarianorganization,christian,A). [resolve(680,a,39,a)].
% 0.14/10.58
% 0.14/10.58 % SZS status Theorem for theBenchmark
% 0.14/10.58
% 0.14/10.58 % Proof 1 at 0.12 (+ 0.03) seconds.
% 0.14/10.58 % Length of proof is 14.
% 0.14/10.58 % Level of proof is 5.
% 0.14/10.58 % Maximum clause weight is 16.000.
% 0.14/10.58 % Given clauses 910.
% 0.14/10.58
% 0.14/10.58 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------