%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : AGT003+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 : n008.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 1.38s 0.63s
% Output : CNFRefutation 1.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 21 ( 14 unt; 0 def)
% Number of atoms : 33 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 23 ( 11 ~; 9 |; 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 : 8 ( 8 usr; 8 con; 0-0 aty)
% Number of variables : 23 ( 6 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_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_36,plain,
( accept_number(A,D)
| ~ 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_26,axiom,
accept_team(christiansufferterrahumanitarianorganization,countryacivilorganization,towna,n6),
file('theBenchmark.p',event_26) ).
cnf(c_434,plain,
accept_team(christiansufferterrahumanitarianorganization,countryacivilorganization,towna,n6),
inference(clausify,[status(thm)],[event_26]) ).
fof(event_90,axiom,
accept_team(christiansufferterrahumanitarianorganization,countryahumanitarianorganization,coastvillage,n5),
file('theBenchmark.p',event_90) ).
cnf(c_497,plain,
accept_team(christiansufferterrahumanitarianorganization,countryahumanitarianorganization,coastvillage,n5),
inference(clausify,[status(thm)],[event_90]) ).
fof(event_93,axiom,
accept_team(christiansufferterrahumanitarianorganization,countryafirstaidorganization,coastvillage,n6),
file('theBenchmark.p',event_93) ).
cnf(c_500,plain,
accept_team(christiansufferterrahumanitarianorganization,countryafirstaidorganization,coastvillage,n6),
inference(clausify,[status(thm)],[event_93]) ).
cnf(c_662,negated_conjecture,
~ accept_team(christiansufferterrahumanitarianorganization,countryafirstaidorganization,towna,n5),
inference(clausify,[status(thm)],[query_3_neg]) ).
cnf(c_1035,plain,
accept_city(christiansufferterrahumanitarianorganization,towna),
inference(resolve,[status(thm)],[c_434,c_34]) ).
cnf(c_1306,plain,
accept_number(christiansufferterrahumanitarianorganization,n5),
inference(resolve,[status(thm)],[c_497,c_36]) ).
cnf(c_1331,plain,
accept_leader(christiansufferterrahumanitarianorganization,countryafirstaidorganization),
inference(resolve,[status(thm)],[c_500,c_35]) ).
cnf(c_1334,plain,
( ~ accept_number(christiansufferterrahumanitarianorganization,B)
| ~ accept_leader(christiansufferterrahumanitarianorganization,A)
| accept_team(christiansufferterrahumanitarianorganization,A,towna,B) ),
inference(resolve,[status(thm)],[c_37,c_1035]) ).
cnf(c_1335,plain,
( ~ accept_number(christiansufferterrahumanitarianorganization,A)
| accept_team(christiansufferterrahumanitarianorganization,countryafirstaidorganization,towna,A) ),
inference(resolve,[status(thm)],[c_1334,c_1331]) ).
cnf(c_1336,plain,
accept_team(christiansufferterrahumanitarianorganization,countryafirstaidorganization,towna,n5),
inference(resolve,[status(thm)],[c_1335,c_1306]) ).
cnf(c_1333,negated_conjecture,
$false,
inference(resolve,[status(thm)],[c_662,c_1336]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : AGT003+1 : TPTP v9.3.1. Bugfixed v3.1.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n008.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sat Sep 26 20:51:54 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.13/0.36 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.13/0.36 % Process 342230 was started by sandbox on n008,
% 0.13/0.36 % Sat Sep 26 20:51:54 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: 252 to sos, 303 to usable, of 555 axioms (tolerance 2.00, depth 0 fixpoint).
% 1.38/0.63
% 1.38/0.63 % SZS status Theorem for theBenchmark
% 1.38/0.63
% 1.38/0.63 % Proof 1 at 0.11 (+ 0.06) seconds.
% 1.38/0.63 % Length of proof is 14.
% 1.38/0.63 % Level of proof is 3.
% 1.38/0.63 % Maximum clause weight is 10.000.
% 1.38/0.63 % Given clauses 302.
% 1.38/0.63
% 1.38/0.63 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------