%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : AGT017+1 : TPTP v9.3.1. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n003.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 0.14s 0.48s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 15 ( 10 unt; 0 def)
% Number of atoms : 22 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 18 ( 11 ~; 4 |; 1 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 15 ( 2 sgn 6 !; 2 ?)
% 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(query_17,conjecture,
? [X] : ~ accept_city(muslimcountrybhumanitarianorganization,X),
file('theBenchmark.p',query_17) ).
fof(query_17_neg,negated_conjecture,
~ ? [X] : ~ accept_city(muslimcountrybhumanitarianorganization,X),
inference(assume_negation,[status(cth)],[query_17]) ).
cnf(c_42,plain,
( accept_leader(A,B)
| ~ any_agent_in_all_proposed_teams(A,B,C) ),
inference(clausify,[status(thm)],[a1_5]) ).
cnf(c_43,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]) ).
fof(event_11,axiom,
the_agent_not_in_any_proposed_teams(muslimcountrybhumanitarianorganization,countryacivilorganization,towna),
file('theBenchmark.p',event_11) ).
cnf(c_123,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_420,plain,
any_agent_in_all_proposed_teams(muslimcountrybhumanitarianorganization,countryacivilorganization,towna),
inference(clausify,[status(thm)],[event_12]) ).
cnf(c_662,negated_conjecture,
accept_city(muslimcountrybhumanitarianorganization,A),
inference(clausify,[status(thm)],[query_17_neg]) ).
cnf(c_718,plain,
accept_leader(muslimcountrybhumanitarianorganization,countryacivilorganization),
inference(resolve,[status(thm)],[c_420,c_42]) ).
cnf(c_721,plain,
( ~ accept_leader(muslimcountrybhumanitarianorganization,countryacivilorganization)
| ~ accept_city(muslimcountrybhumanitarianorganization,towna) ),
inference(resolve,[status(thm)],[c_43,c_123]) ).
cnf(c_722,negated_conjecture,
~ accept_leader(muslimcountrybhumanitarianorganization,countryacivilorganization),
inference(resolve,[status(thm)],[c_721,c_662]) ).
cnf(c_720,negated_conjecture,
$false,
inference(resolve,[status(thm)],[c_722,c_718]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : AGT017+1 : TPTP v9.3.1. Bugfixed v3.1.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.34 % Computer : n003.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % 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 20:55:54 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.08/0.35 % Process 3747111 was started by sandbox2 on n003,
% 0.08/0.35 % Sat Sep 26 20:55:54 2026
% 0.08/0.35 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.08/0.39
% 0.08/0.39 % From the command line: assign(max_seconds, 300).
% 0.08/0.39
% 0.08/0.39 % SInE: 252 to sos, 303 to usable, of 555 axioms (tolerance 2.00, depth 0 fixpoint).
% 0.14/0.48
% 0.14/0.48 % SZS status Theorem for theBenchmark
% 0.14/0.48
% 0.14/0.48 % Proof 1 at 0.04 (+ 0.01) seconds.
% 0.14/0.48 % Length of proof is 10.
% 0.14/0.48 % Level of proof is 3.
% 0.14/0.48 % Maximum clause weight is 9.000.
% 0.14/0.48 % Given clauses 19.
% 0.14/0.48
% 0.14/0.48 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------