%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : AGT004+2 : TPTP v9.0.0. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat Jun 21 04:57:38 AM UTC 2025
% Result : Theorem 0.55s 0.72s
% Output : Proof 0.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 13
% Syntax : Number of formulae : 27 ( 9 unt; 0 typ; 0 def)
% Number of atoms : 165 ( 0 equ)
% Maximal formula atoms : 8 ( 6 avg)
% Number of connectives : 219 ( 94 ~; 48 |; 30 &)
% ( 47 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 13 ( 13 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-4 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 72 ( 60 !; 0 ?; 72 :)
% Comments :
%------------------------------------------------------------------------------
tff(accept_team_type,type,
accept_team: ( $i * $i * $i * $i ) > $o ).
tff(n5_type,type,
n5: $i ).
tff(coastvillage_type,type,
coastvillage: $i ).
tff(countryahumanitarianorganization_type,type,
countryahumanitarianorganization: $i ).
tff(countryamedicalorganization_type,type,
countryamedicalorganization: $i ).
tff(accept_number_type,type,
accept_number: ( $i * $i ) > $o ).
tff(accept_leader_type,type,
accept_leader: ( $i * $i ) > $o ).
tff(accept_city_type,type,
accept_city: ( $i * $i ) > $o ).
tff(1,plain,
( ~ accept_city(countryamedicalorganization,coastvillage)
<=> ~ accept_city(countryamedicalorganization,coastvillage) ),
inference(rewrite,[status(thm)],[]) ).
tff(2,axiom,
~ accept_city(countryamedicalorganization,coastvillage),
file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+2.ax',deduced_13) ).
tff(3,plain,
~ accept_city(countryamedicalorganization,coastvillage),
inference(modus_ponens,[status(thm)],[2,1]) ).
tff(4,plain,
( ~ accept_city(countryamedicalorganization,coastvillage)
| ~ accept_leader(countryamedicalorganization,countryahumanitarianorganization)
| ~ accept_number(countryamedicalorganization,n5)
| accept_city(countryamedicalorganization,coastvillage) ),
inference(tautology,[status(thm)],[]) ).
tff(5,plain,
( ~ accept_city(countryamedicalorganization,coastvillage)
| ~ accept_leader(countryamedicalorganization,countryahumanitarianorganization)
| ~ accept_number(countryamedicalorganization,n5) ),
inference(unit_resolution,[status(thm)],[4,3]) ).
tff(6,plain,
( accept_team(countryamedicalorganization,countryahumanitarianorganization,coastvillage,n5)
<=> accept_team(countryamedicalorganization,countryahumanitarianorganization,coastvillage,n5) ),
inference(rewrite,[status(thm)],[]) ).
tff(7,plain,
( ~ ~ accept_team(countryamedicalorganization,countryahumanitarianorganization,coastvillage,n5)
<=> accept_team(countryamedicalorganization,countryahumanitarianorganization,coastvillage,n5) ),
inference(rewrite,[status(thm)],[]) ).
tff(8,axiom,
~ ~ accept_team(countryamedicalorganization,countryahumanitarianorganization,coastvillage,n5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query_4) ).
tff(9,plain,
accept_team(countryamedicalorganization,countryahumanitarianorganization,coastvillage,n5),
inference(modus_ponens,[status(thm)],[8,7]) ).
tff(10,plain,
accept_team(countryamedicalorganization,countryahumanitarianorganization,coastvillage,n5),
inference(modus_ponens,[status(thm)],[9,6]) ).
tff(11,plain,
( ( ( ~ accept_city(countryamedicalorganization,coastvillage)
| ~ accept_leader(countryamedicalorganization,countryahumanitarianorganization)
| ~ accept_number(countryamedicalorganization,n5) )
<=> accept_team(countryamedicalorganization,countryahumanitarianorganization,coastvillage,n5) )
| ~ ( ~ accept_city(countryamedicalorganization,coastvillage)
| ~ accept_leader(countryamedicalorganization,countryahumanitarianorganization)
| ~ accept_number(countryamedicalorganization,n5) )
| ~ accept_team(countryamedicalorganization,countryahumanitarianorganization,coastvillage,n5) ),
inference(tautology,[status(thm)],[]) ).
tff(12,plain,
( ( ~ accept_city(countryamedicalorganization,coastvillage)
| ~ accept_leader(countryamedicalorganization,countryahumanitarianorganization)
| ~ accept_number(countryamedicalorganization,n5) )
<=> accept_team(countryamedicalorganization,countryahumanitarianorganization,coastvillage,n5) ),
inference(unit_resolution,[status(thm)],[11,10,5]) ).
tff(13,plain,
^ [A: $i,C: $i,N: $i,L: $i] :
refl(( ~ ( ( ~ accept_city(A,C)
| ~ accept_leader(A,L)
| ~ accept_number(A,N) )
<=> accept_team(A,L,C,N) )
<=> ~ ( ( ~ accept_city(A,C)
| ~ accept_leader(A,L)
| ~ accept_number(A,N) )
<=> accept_team(A,L,C,N) ) )),
inference(bind,[status(th)],[]) ).
tff(14,plain,
( ! [A: $i,C: $i,N: $i,L: $i] :
~ ( ( ~ accept_city(A,C)
| ~ accept_leader(A,L)
| ~ accept_number(A,N) )
<=> accept_team(A,L,C,N) )
<=> ! [A: $i,C: $i,N: $i,L: $i] :
~ ( ( ~ accept_city(A,C)
| ~ accept_leader(A,L)
| ~ accept_number(A,N) )
<=> accept_team(A,L,C,N) ) ),
inference(quant_intro,[status(thm)],[13]) ).
tff(15,plain,
^ [A: $i,C: $i,N: $i,L: $i] :
trans(trans(monotonicity(rewrite(( ( accept_city(A,C)
& accept_leader(A,L)
& accept_number(A,N) )
<=> ~ ( ~ accept_city(A,C)
| ~ accept_leader(A,L)
| ~ accept_number(A,N) ) )),
( ( accept_team(A,L,C,N)
<=> ( accept_city(A,C)
& accept_leader(A,L)
& accept_number(A,N) ) )
<=> ( accept_team(A,L,C,N)
<=> ~ ( ~ accept_city(A,C)
| ~ accept_leader(A,L)
| ~ accept_number(A,N) ) ) )),
rewrite(( ( accept_team(A,L,C,N)
<=> ~ ( ~ accept_city(A,C)
| ~ accept_leader(A,L)
| ~ accept_number(A,N) ) )
<=> ~ ( ( ~ accept_city(A,C)
| ~ accept_leader(A,L)
| ~ accept_number(A,N) )
<=> accept_team(A,L,C,N) ) )),
( ( accept_team(A,L,C,N)
<=> ( accept_city(A,C)
& accept_leader(A,L)
& accept_number(A,N) ) )
<=> ~ ( ( ~ accept_city(A,C)
| ~ accept_leader(A,L)
| ~ accept_number(A,N) )
<=> accept_team(A,L,C,N) ) )),
rewrite(( ~ ( ( ~ accept_city(A,C)
| ~ accept_leader(A,L)
| ~ accept_number(A,N) )
<=> accept_team(A,L,C,N) )
<=> ~ ( ( ~ accept_city(A,C)
| ~ accept_leader(A,L)
| ~ accept_number(A,N) )
<=> accept_team(A,L,C,N) ) )),
( ( accept_team(A,L,C,N)
<=> ( accept_city(A,C)
& accept_leader(A,L)
& accept_number(A,N) ) )
<=> ~ ( ( ~ accept_city(A,C)
| ~ accept_leader(A,L)
| ~ accept_number(A,N) )
<=> accept_team(A,L,C,N) ) )),
inference(bind,[status(th)],[]) ).
tff(16,plain,
( ! [A: $i,C: $i,N: $i,L: $i] :
( accept_team(A,L,C,N)
<=> ( accept_city(A,C)
& accept_leader(A,L)
& accept_number(A,N) ) )
<=> ! [A: $i,C: $i,N: $i,L: $i] :
~ ( ( ~ accept_city(A,C)
| ~ accept_leader(A,L)
| ~ accept_number(A,N) )
<=> accept_team(A,L,C,N) ) ),
inference(quant_intro,[status(thm)],[15]) ).
tff(17,plain,
( ! [A: $i,C: $i,N: $i,L: $i] :
( accept_team(A,L,C,N)
<=> ( accept_city(A,C)
& accept_leader(A,L)
& accept_number(A,N) ) )
<=> ! [A: $i,C: $i,N: $i,L: $i] :
( accept_team(A,L,C,N)
<=> ( accept_city(A,C)
& accept_leader(A,L)
& accept_number(A,N) ) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(18,plain,
^ [A: $i,C: $i,N: $i,L: $i] :
rewrite(( ( accept_team(A,L,C,N)
<=> ( accept_city(A,C)
& accept_leader(A,L)
& accept_number(A,N) ) )
<=> ( accept_team(A,L,C,N)
<=> ( accept_city(A,C)
& accept_leader(A,L)
& accept_number(A,N) ) ) )),
inference(bind,[status(th)],[]) ).
tff(19,plain,
( ! [A: $i,C: $i,N: $i,L: $i] :
( accept_team(A,L,C,N)
<=> ( accept_city(A,C)
& accept_leader(A,L)
& accept_number(A,N) ) )
<=> ! [A: $i,C: $i,N: $i,L: $i] :
( accept_team(A,L,C,N)
<=> ( accept_city(A,C)
& accept_leader(A,L)
& accept_number(A,N) ) ) ),
inference(quant_intro,[status(thm)],[18]) ).
tff(20,axiom,
! [A: $i,C: $i,N: $i,L: $i] :
( accept_team(A,L,C,N)
<=> ( accept_city(A,C)
& accept_leader(A,L)
& accept_number(A,N) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+0.ax',a1_1) ).
tff(21,plain,
! [A: $i,C: $i,N: $i,L: $i] :
( accept_team(A,L,C,N)
<=> ( accept_city(A,C)
& accept_leader(A,L)
& accept_number(A,N) ) ),
inference(modus_ponens,[status(thm)],[20,19]) ).
tff(22,plain,
! [A: $i,C: $i,N: $i,L: $i] :
( accept_team(A,L,C,N)
<=> ( accept_city(A,C)
& accept_leader(A,L)
& accept_number(A,N) ) ),
inference(modus_ponens,[status(thm)],[21,17]) ).
tff(23,plain,
! [A: $i,C: $i,N: $i,L: $i] :
( accept_team(A,L,C,N)
<=> ( accept_city(A,C)
& accept_leader(A,L)
& accept_number(A,N) ) ),
inference(skolemize,[status(sab)],[22]) ).
tff(24,plain,
! [A: $i,C: $i,N: $i,L: $i] :
~ ( ( ~ accept_city(A,C)
| ~ accept_leader(A,L)
| ~ accept_number(A,N) )
<=> accept_team(A,L,C,N) ),
inference(modus_ponens,[status(thm)],[23,16]) ).
tff(25,plain,
! [A: $i,C: $i,N: $i,L: $i] :
~ ( ( ~ accept_city(A,C)
| ~ accept_leader(A,L)
| ~ accept_number(A,N) )
<=> accept_team(A,L,C,N) ),
inference(modus_ponens,[status(thm)],[24,14]) ).
tff(26,plain,
( ~ ! [A: $i,C: $i,N: $i,L: $i] :
~ ( ( ~ accept_city(A,C)
| ~ accept_leader(A,L)
| ~ accept_number(A,N) )
<=> accept_team(A,L,C,N) )
| ~ ( ( ~ accept_city(countryamedicalorganization,coastvillage)
| ~ accept_leader(countryamedicalorganization,countryahumanitarianorganization)
| ~ accept_number(countryamedicalorganization,n5) )
<=> accept_team(countryamedicalorganization,countryahumanitarianorganization,coastvillage,n5) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(27,plain,
$false,
inference(unit_resolution,[status(thm)],[26,25,12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : AGT004+2 : TPTP v9.0.0. Bugfixed v3.1.0.
% 0.12/0.12 % Command : run_E %s %d THM
% 0.13/0.34 % Computer : n006.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu Jun 19 10:42:20 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.55/0.72 % SZS status Theorem
% 0.55/0.72 % SZS output start Proof
% See solution above
% 0.55/0.75 % E exiting
%------------------------------------------------------------------------------