%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : AGT005+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 : n011.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 0.24s 0.56s
% Output : CNFRefutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 15 ( 11 unt; 0 def)
% Number of atoms : 24 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 17 ( 8 ~; 6 |; 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 : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 11 ( 0 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_5,conjecture,
accept_team(christiansufferterrahumanitarianorganization,countryafirstaidorganization,towna,n3),
file('theBenchmark.p',query_5) ).
fof(query_5_neg,negated_conjecture,
~ accept_team(christiansufferterrahumanitarianorganization,countryafirstaidorganization,towna,n3),
inference(assume_negation,[status(cth)],[query_5]) ).
cnf(c_489,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(deduced_83,axiom,
accept_city(christiansufferterrahumanitarianorganization,towna),
file('theBenchmark.p',deduced_83) ).
cnf(c_795,plain,
accept_city(christiansufferterrahumanitarianorganization,towna),
inference(clausify,[status(thm)],[deduced_83]) ).
fof(deduced_84,axiom,
accept_leader(christiansufferterrahumanitarianorganization,countryafirstaidorganization),
file('theBenchmark.p',deduced_84) ).
cnf(c_796,plain,
accept_leader(christiansufferterrahumanitarianorganization,countryafirstaidorganization),
inference(clausify,[status(thm)],[deduced_84]) ).
fof(deduced_166,axiom,
accept_number(christiansufferterrahumanitarianorganization,n3),
file('theBenchmark.p',deduced_166) ).
cnf(c_856,plain,
accept_number(christiansufferterrahumanitarianorganization,n3),
inference(clausify,[status(thm)],[deduced_166]) ).
cnf(c_992,negated_conjecture,
~ accept_team(christiansufferterrahumanitarianorganization,countryafirstaidorganization,towna,n3),
inference(clausify,[status(thm)],[query_5_neg]) ).
cnf(c_1110,plain,
( ~ accept_number(christiansufferterrahumanitarianorganization,B)
| ~ accept_leader(christiansufferterrahumanitarianorganization,A)
| accept_team(christiansufferterrahumanitarianorganization,A,towna,B) ),
inference(resolve,[status(thm)],[c_489,c_795]) ).
cnf(c_1111,plain,
( ~ accept_number(christiansufferterrahumanitarianorganization,A)
| accept_team(christiansufferterrahumanitarianorganization,countryafirstaidorganization,towna,A) ),
inference(resolve,[status(thm)],[c_1110,c_796]) ).
cnf(c_1112,plain,
accept_team(christiansufferterrahumanitarianorganization,countryafirstaidorganization,towna,n3),
inference(resolve,[status(thm)],[c_1111,c_856]) ).
cnf(c_1109,negated_conjecture,
$false,
inference(resolve,[status(thm)],[c_992,c_1112]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : AGT005+2 : TPTP v9.3.1. Bugfixed v3.1.0.
% 0.00/0.06 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.42 % Computer : n011.cluster.edu
% 0.15/0.42 % Model : x86_64 x86_64
% 0.15/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.42 % Memory : 8046.5625MB
% 0.15/0.42 % OS : Linux 6.8.0-71-generic
% 0.15/0.42 % CPULimit : 300
% 0.15/0.42 % WCLimit : 300
% 0.15/0.42 % DateTime : Sat Sep 26 20:51:44 UTC 2026
% 0.15/0.43 % CPUTime :
% 0.15/0.43 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.15/0.43 % Process 1521479 was started by sandbox on n011,
% 0.15/0.43 % Sat Sep 26 20:51:44 2026
% 0.15/0.43 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.15/0.48
% 0.15/0.48 % From the command line: assign(max_seconds, 300).
% 0.15/0.48
% 0.15/0.48 % SInE: 539 to sos, 383 to usable, of 922 axioms (tolerance 2.00, depth 0 fixpoint).
% 0.24/0.56
% 0.24/0.56 % SZS status Theorem for theBenchmark
% 0.24/0.56
% 0.24/0.56 % Proof 1 at 0.05 (+ 0.02) seconds.
% 0.24/0.56 % Length of proof is 8.
% 0.24/0.56 % Level of proof is 2.
% 0.24/0.56 % Maximum clause weight is 119.000.
% 0.24/0.56 % Given clauses 63.
% 0.24/0.56
% 0.24/0.56 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------