%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : AGT003+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 : n015.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 06:45:46 AM UTC 2026
% Result : Theorem 0.14s 0.47s
% Output : CNFRefutation 0.14s
% 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_3,conjecture,
accept_team(christiansufferterrahumanitarianorganization,countryafirstaidorganization,towna,n5),
file('theBenchmark.p',query_3) ).
fof(query_3_neg,negated_conjecture,
~ accept_team(christiansufferterrahumanitarianorganization,countryafirstaidorganization,towna,n5),
inference(assume_negation,[status(cth)],[query_3]) ).
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_164,axiom,
accept_number(christiansufferterrahumanitarianorganization,n5),
file('theBenchmark.p',deduced_164) ).
cnf(c_854,plain,
accept_number(christiansufferterrahumanitarianorganization,n5),
inference(clausify,[status(thm)],[deduced_164]) ).
cnf(c_992,negated_conjecture,
~ accept_team(christiansufferterrahumanitarianorganization,countryafirstaidorganization,towna,n5),
inference(clausify,[status(thm)],[query_3_neg]) ).
cnf(c_1080,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_1081,plain,
( ~ accept_number(christiansufferterrahumanitarianorganization,A)
| accept_team(christiansufferterrahumanitarianorganization,countryafirstaidorganization,towna,A) ),
inference(resolve,[status(thm)],[c_1080,c_796]) ).
cnf(c_1082,plain,
accept_team(christiansufferterrahumanitarianorganization,countryafirstaidorganization,towna,n5),
inference(resolve,[status(thm)],[c_1081,c_854]) ).
cnf(c_1079,negated_conjecture,
$false,
inference(resolve,[status(thm)],[c_992,c_1082]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : AGT003+2 : TPTP v9.3.1. Bugfixed v3.1.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.37 % Computer : n015.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sat Sep 26 20:54:29 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.14/0.38 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.14/0.38 % Process 741938 was started by sandbox on n015,
% 0.14/0.38 % Sat Sep 26 20:54:29 2026
% 0.14/0.38 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.14/0.41
% 0.14/0.41 % From the command line: assign(max_seconds, 300).
% 0.14/0.41
% 0.14/0.41 % SInE: 539 to sos, 383 to usable, of 922 axioms (tolerance 2.00, depth 0 fixpoint).
% 0.14/0.47
% 0.14/0.47 % SZS status Theorem for theBenchmark
% 0.14/0.47
% 0.14/0.47 % Proof 1 at 0.03 (+ 0.01) seconds.
% 0.14/0.47 % Length of proof is 8.
% 0.14/0.47 % Level of proof is 2.
% 0.14/0.47 % Maximum clause weight is 119.000.
% 0.14/0.47 % Given clauses 62.
% 0.14/0.47
% 0.14/0.47 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------