%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : AGT014+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 06:45:48 AM UTC 2026
% Result : Theorem 0.13s 0.43s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 6
% Syntax : Number of formulae : 22 ( 11 unt; 0 def)
% Number of atoms : 49 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 53 ( 26 ~; 19 |; 5 &)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 12 con; 0-0 aty)
% Number of variables : 30 ( 5 sgn 7 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(a1_5,axiom,
! [A,L,C] :
( any_agent_in_all_proposed_teams(A,L,C)
=> accept_leader(A,L) ),
file('theBenchmark.p',a1_5) ).
fof(a1_6,axiom,
! [A,L,C] :
( the_agent_not_in_any_proposed_teams(A,L,C)
=> ~ ( accept_leader(A,L)
& accept_city(A,C) ) ),
file('theBenchmark.p',a1_6) ).
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_14,conjecture,
? [X,Y,Z] : ~ accept_population(X,Y,Z),
file('theBenchmark.p',query_14) ).
fof(query_14_neg,negated_conjecture,
~ ? [X,Y,Z] : ~ accept_population(X,Y,Z),
inference(assume_negation,[status(cth)],[query_14]) ).
cnf(c_40,plain,
( accept_leader(A,B)
| ~ any_agent_in_all_proposed_teams(A,B,C) ),
inference(clausify,[status(thm)],[a1_5]) ).
cnf(c_41,plain,
( ~ accept_leader(A,B)
| ~ accept_city(A,C)
| ~ the_agent_not_in_any_proposed_teams(A,B,C) ),
inference(clausify,[status(thm)],[a1_6]) ).
cnf(c_91,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(event_11,axiom,
the_agent_not_in_any_proposed_teams(muslimcountrybhumanitarianorganization,countryacivilorganization,towna),
file('theBenchmark.p',event_11) ).
cnf(c_121,plain,
the_agent_not_in_any_proposed_teams(muslimcountrybhumanitarianorganization,countryacivilorganization,towna),
inference(clausify,[status(thm)],[event_11]) ).
fof(event_12,axiom,
any_agent_in_all_proposed_teams(muslimcountrybhumanitarianorganization,countryacivilorganization,towna),
file('theBenchmark.p',event_12) ).
cnf(c_399,plain,
any_agent_in_all_proposed_teams(muslimcountrybhumanitarianorganization,countryacivilorganization,towna),
inference(clausify,[status(thm)],[event_12]) ).
cnf(c_662,negated_conjecture,
accept_population(A,B,C),
inference(clausify,[status(thm)],[query_14_neg]) ).
cnf(c_878,negated_conjecture,
( accept_city(A,towna)
| ~ accept_population(A,other,n0)
| ~ accept_population(A,native,n0)
| ~ accept_population(A,muslim,n1)
| ~ accept_population(A,christian,n24) ),
inference(resolve,[status(thm)],[c_662,c_91]) ).
cnf(c_879,negated_conjecture,
( accept_city(A,towna)
| ~ accept_population(A,other,n0)
| ~ accept_population(A,native,n0)
| ~ accept_population(A,muslim,n1) ),
inference(resolve,[status(thm)],[c_662,c_878]) ).
cnf(c_880,negated_conjecture,
( accept_city(A,towna)
| ~ accept_population(A,other,n0)
| ~ accept_population(A,native,n0) ),
inference(resolve,[status(thm)],[c_662,c_879]) ).
cnf(c_881,negated_conjecture,
( accept_city(A,towna)
| ~ accept_population(A,other,n0) ),
inference(resolve,[status(thm)],[c_662,c_880]) ).
cnf(c_670,negated_conjecture,
accept_city(A,towna),
inference(resolve,[status(thm)],[c_662,c_881]) ).
cnf(c_818,plain,
( ~ accept_leader(A,B)
| ~ the_agent_not_in_any_proposed_teams(A,B,towna) ),
inference(resolve,[status(thm)],[c_670,c_41]) ).
cnf(c_840,plain,
~ accept_leader(muslimcountrybhumanitarianorganization,countryacivilorganization),
inference(resolve,[status(thm)],[c_818,c_121]) ).
cnf(c_882,plain,
accept_leader(muslimcountrybhumanitarianorganization,countryacivilorganization),
inference(resolve,[status(thm)],[c_399,c_40]) ).
cnf(c_877,plain,
$false,
inference(resolve,[status(thm)],[c_840,c_882]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : AGT014+1 : TPTP v9.3.1. Bugfixed v3.1.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n020.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sat Sep 26 20:54:33 UTC 2026
% 0.13/0.36 % CPUTime :
% 0.13/0.36 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.13/0.36 % Process 2504619 was started by sandbox on n020,
% 0.13/0.36 % Sat Sep 26 20:54:33 2026
% 0.13/0.36 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.13/0.38
% 0.13/0.38 % From the command line: assign(max_seconds, 300).
% 0.13/0.38
% 0.13/0.38 % SInE: 273 to sos, 282 to usable, of 555 axioms (tolerance 2.00, depth 0 fixpoint).
% 0.13/0.43
% 0.13/0.43 % SZS status Theorem for theBenchmark
% 0.13/0.43
% 0.13/0.43 % Proof 1 at 0.03 (+ 0.01) seconds.
% 0.13/0.43 % Length of proof is 14.
% 0.13/0.43 % Level of proof is 5.
% 0.13/0.43 % Maximum clause weight is 309.000.
% 0.13/0.43 % Given clauses 42.
% 0.13/0.43
% 0.13/0.43 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------