TSTP Solution File: AGT004+1 by Z3---4.8.9.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : AGT004+1 : TPTP v8.1.0. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n021.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 : Tue Sep 6 14:48:00 EDT 2022
% Result : Theorem 0.21s 0.49s
% Output : Proof 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 40
% Syntax : Number of formulae : 76 ( 18 unt; 11 typ; 0 def)
% Number of atoms : 334 ( 0 equ)
% Maximal formula atoms : 12 ( 5 avg)
% Number of connectives : 484 ( 235 ~; 144 |; 40 &)
% ( 59 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 20 ( 20 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 16 ( 6 >; 10 *; 0 +; 0 <<)
% Number of predicates : 11 ( 10 usr; 1 prp; 0-4 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 198 ( 171 !; 0 ?; 198 :)
% Comments :
%------------------------------------------------------------------------------
tff(accept_city_type,type,
accept_city: ( $i * $i ) > $o ).
tff(coastvillage_type,type,
coastvillage: $i ).
tff(countryamedicalorganization_type,type,
countryamedicalorganization: $i ).
tff(accept_leader_type,type,
accept_leader: ( $i * $i ) > $o ).
tff(christiancountrychumanitarianorganization_type,type,
christiancountrychumanitarianorganization: $i ).
tff(any_agent_in_all_proposed_teams_type,type,
any_agent_in_all_proposed_teams: ( $i * $i * $i ) > $o ).
tff(the_agent_not_in_any_proposed_teams_type,type,
the_agent_not_in_any_proposed_teams: ( $i * $i * $i ) > $o ).
tff(accept_number_type,type,
accept_number: ( $i * $i ) > $o ).
tff(n5_type,type,
n5: $i ).
tff(countryahumanitarianorganization_type,type,
countryahumanitarianorganization: $i ).
tff(accept_team_type,type,
accept_team: ( $i * $i * $i * $i ) > $o ).
tff(1,plain,
( any_agent_in_all_proposed_teams(countryamedicalorganization,christiancountrychumanitarianorganization,coastvillage)
<=> any_agent_in_all_proposed_teams(countryamedicalorganization,christiancountrychumanitarianorganization,coastvillage) ),
inference(rewrite,[status(thm)],]) ).
tff(2,axiom,
any_agent_in_all_proposed_teams(countryamedicalorganization,christiancountrychumanitarianorganization,coastvillage),
file('/export/starexec/sandbox/benchmark/Axioms/AGT001+1.ax',event_38) ).
tff(3,plain,
any_agent_in_all_proposed_teams(countryamedicalorganization,christiancountrychumanitarianorganization,coastvillage),
inference(modus_ponens,[status(thm)],[2,1]) ).
tff(4,plain,
^ [A: $i,L: $i,C: $i] :
refl(
( ( ~ any_agent_in_all_proposed_teams(A,L,C)
| accept_leader(A,L) )
<=> ( ~ any_agent_in_all_proposed_teams(A,L,C)
| accept_leader(A,L) ) )),
inference(bind,[status(th)],]) ).
tff(5,plain,
( ! [A: $i,L: $i,C: $i] :
( ~ any_agent_in_all_proposed_teams(A,L,C)
| accept_leader(A,L) )
<=> ! [A: $i,L: $i,C: $i] :
( ~ any_agent_in_all_proposed_teams(A,L,C)
| accept_leader(A,L) ) ),
inference(quant_intro,[status(thm)],[4]) ).
tff(6,plain,
( ! [A: $i,L: $i,C: $i] :
( ~ any_agent_in_all_proposed_teams(A,L,C)
| accept_leader(A,L) )
<=> ! [A: $i,L: $i,C: $i] :
( ~ any_agent_in_all_proposed_teams(A,L,C)
| accept_leader(A,L) ) ),
inference(rewrite,[status(thm)],]) ).
tff(7,plain,
^ [A: $i,L: $i,C: $i] :
rewrite(
( ( any_agent_in_all_proposed_teams(A,L,C)
=> accept_leader(A,L) )
<=> ( ~ any_agent_in_all_proposed_teams(A,L,C)
| accept_leader(A,L) ) )),
inference(bind,[status(th)],]) ).
tff(8,plain,
( ! [A: $i,L: $i,C: $i] :
( any_agent_in_all_proposed_teams(A,L,C)
=> accept_leader(A,L) )
<=> ! [A: $i,L: $i,C: $i] :
( ~ any_agent_in_all_proposed_teams(A,L,C)
| accept_leader(A,L) ) ),
inference(quant_intro,[status(thm)],[7]) ).
tff(9,axiom,
! [A: $i,L: $i,C: $i] :
( any_agent_in_all_proposed_teams(A,L,C)
=> accept_leader(A,L) ),
file('/export/starexec/sandbox/benchmark/Axioms/AGT001+0.ax',a1_5) ).
tff(10,plain,
! [A: $i,L: $i,C: $i] :
( ~ any_agent_in_all_proposed_teams(A,L,C)
| accept_leader(A,L) ),
inference(modus_ponens,[status(thm)],[9,8]) ).
tff(11,plain,
! [A: $i,L: $i,C: $i] :
( ~ any_agent_in_all_proposed_teams(A,L,C)
| accept_leader(A,L) ),
inference(modus_ponens,[status(thm)],[10,6]) ).
tff(12,plain,
! [A: $i,L: $i,C: $i] :
( ~ any_agent_in_all_proposed_teams(A,L,C)
| accept_leader(A,L) ),
inference(skolemize,[status(sab)],[11]) ).
tff(13,plain,
! [A: $i,L: $i,C: $i] :
( ~ any_agent_in_all_proposed_teams(A,L,C)
| accept_leader(A,L) ),
inference(modus_ponens,[status(thm)],[12,5]) ).
tff(14,plain,
( ( ~ ! [A: $i,L: $i,C: $i] :
( ~ any_agent_in_all_proposed_teams(A,L,C)
| accept_leader(A,L) )
| ~ any_agent_in_all_proposed_teams(countryamedicalorganization,christiancountrychumanitarianorganization,coastvillage)
| accept_leader(countryamedicalorganization,christiancountrychumanitarianorganization) )
<=> ( ~ ! [A: $i,L: $i,C: $i] :
( ~ any_agent_in_all_proposed_teams(A,L,C)
| accept_leader(A,L) )
| ~ any_agent_in_all_proposed_teams(countryamedicalorganization,christiancountrychumanitarianorganization,coastvillage)
| accept_leader(countryamedicalorganization,christiancountrychumanitarianorganization) ) ),
inference(rewrite,[status(thm)],]) ).
tff(15,plain,
( ~ ! [A: $i,L: $i,C: $i] :
( ~ any_agent_in_all_proposed_teams(A,L,C)
| accept_leader(A,L) )
| ~ any_agent_in_all_proposed_teams(countryamedicalorganization,christiancountrychumanitarianorganization,coastvillage)
| accept_leader(countryamedicalorganization,christiancountrychumanitarianorganization) ),
inference(quant_inst,[status(thm)],]) ).
tff(16,plain,
( ~ ! [A: $i,L: $i,C: $i] :
( ~ any_agent_in_all_proposed_teams(A,L,C)
| accept_leader(A,L) )
| ~ any_agent_in_all_proposed_teams(countryamedicalorganization,christiancountrychumanitarianorganization,coastvillage)
| accept_leader(countryamedicalorganization,christiancountrychumanitarianorganization) ),
inference(modus_ponens,[status(thm)],[15,14]) ).
tff(17,plain,
accept_leader(countryamedicalorganization,christiancountrychumanitarianorganization),
inference(unit_resolution,[status(thm)],[16,13,3]) ).
tff(18,plain,
( the_agent_not_in_any_proposed_teams(countryamedicalorganization,christiancountrychumanitarianorganization,coastvillage)
<=> the_agent_not_in_any_proposed_teams(countryamedicalorganization,christiancountrychumanitarianorganization,coastvillage) ),
inference(rewrite,[status(thm)],]) ).
tff(19,axiom,
the_agent_not_in_any_proposed_teams(countryamedicalorganization,christiancountrychumanitarianorganization,coastvillage),
file('/export/starexec/sandbox/benchmark/Axioms/AGT001+1.ax',event_37) ).
tff(20,plain,
the_agent_not_in_any_proposed_teams(countryamedicalorganization,christiancountrychumanitarianorganization,coastvillage),
inference(modus_ponens,[status(thm)],[19,18]) ).
tff(21,plain,
^ [A: $i,L: $i,C: $i] :
refl(
( ( ~ the_agent_not_in_any_proposed_teams(A,L,C)
| ~ accept_leader(A,L)
| ~ accept_city(A,C) )
<=> ( ~ the_agent_not_in_any_proposed_teams(A,L,C)
| ~ accept_leader(A,L)
| ~ accept_city(A,C) ) )),
inference(bind,[status(th)],]) ).
tff(22,plain,
( ! [A: $i,L: $i,C: $i] :
( ~ the_agent_not_in_any_proposed_teams(A,L,C)
| ~ accept_leader(A,L)
| ~ accept_city(A,C) )
<=> ! [A: $i,L: $i,C: $i] :
( ~ the_agent_not_in_any_proposed_teams(A,L,C)
| ~ accept_leader(A,L)
| ~ accept_city(A,C) ) ),
inference(quant_intro,[status(thm)],[21]) ).
tff(23,plain,
^ [A: $i,L: $i,C: $i] :
trans(
monotonicity(
trans(
monotonicity(
rewrite(
( ( accept_city(A,C)
& accept_leader(A,L) )
<=> ~ ( ~ accept_city(A,C)
| ~ accept_leader(A,L) ) )),
( ~ ( accept_city(A,C)
& accept_leader(A,L) )
<=> ~ ~ ( ~ accept_city(A,C)
| ~ accept_leader(A,L) ) )),
rewrite(
( ~ ~ ( ~ accept_city(A,C)
| ~ accept_leader(A,L) )
<=> ( ~ accept_city(A,C)
| ~ accept_leader(A,L) ) )),
( ~ ( accept_city(A,C)
& accept_leader(A,L) )
<=> ( ~ accept_city(A,C)
| ~ accept_leader(A,L) ) )),
( ( ~ the_agent_not_in_any_proposed_teams(A,L,C)
| ~ ( accept_city(A,C)
& accept_leader(A,L) ) )
<=> ( ~ the_agent_not_in_any_proposed_teams(A,L,C)
| ~ accept_city(A,C)
| ~ accept_leader(A,L) ) )),
rewrite(
( ( ~ the_agent_not_in_any_proposed_teams(A,L,C)
| ~ accept_city(A,C)
| ~ accept_leader(A,L) )
<=> ( ~ the_agent_not_in_any_proposed_teams(A,L,C)
| ~ accept_leader(A,L)
| ~ accept_city(A,C) ) )),
( ( ~ the_agent_not_in_any_proposed_teams(A,L,C)
| ~ ( accept_city(A,C)
& accept_leader(A,L) ) )
<=> ( ~ the_agent_not_in_any_proposed_teams(A,L,C)
| ~ accept_leader(A,L)
| ~ accept_city(A,C) ) )),
inference(bind,[status(th)],]) ).
tff(24,plain,
( ! [A: $i,L: $i,C: $i] :
( ~ the_agent_not_in_any_proposed_teams(A,L,C)
| ~ ( accept_city(A,C)
& accept_leader(A,L) ) )
<=> ! [A: $i,L: $i,C: $i] :
( ~ the_agent_not_in_any_proposed_teams(A,L,C)
| ~ accept_leader(A,L)
| ~ accept_city(A,C) ) ),
inference(quant_intro,[status(thm)],[23]) ).
tff(25,plain,
( ! [A: $i,L: $i,C: $i] :
( ~ the_agent_not_in_any_proposed_teams(A,L,C)
| ~ ( accept_city(A,C)
& accept_leader(A,L) ) )
<=> ! [A: $i,L: $i,C: $i] :
( ~ the_agent_not_in_any_proposed_teams(A,L,C)
| ~ ( accept_city(A,C)
& accept_leader(A,L) ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(26,plain,
^ [A: $i,L: $i,C: $i] :
rewrite(
( ( the_agent_not_in_any_proposed_teams(A,L,C)
=> ~ ( accept_city(A,C)
& accept_leader(A,L) ) )
<=> ( ~ the_agent_not_in_any_proposed_teams(A,L,C)
| ~ ( accept_city(A,C)
& accept_leader(A,L) ) ) )),
inference(bind,[status(th)],]) ).
tff(27,plain,
( ! [A: $i,L: $i,C: $i] :
( the_agent_not_in_any_proposed_teams(A,L,C)
=> ~ ( accept_city(A,C)
& accept_leader(A,L) ) )
<=> ! [A: $i,L: $i,C: $i] :
( ~ the_agent_not_in_any_proposed_teams(A,L,C)
| ~ ( accept_city(A,C)
& accept_leader(A,L) ) ) ),
inference(quant_intro,[status(thm)],[26]) ).
tff(28,axiom,
! [A: $i,L: $i,C: $i] :
( the_agent_not_in_any_proposed_teams(A,L,C)
=> ~ ( accept_city(A,C)
& accept_leader(A,L) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/AGT001+0.ax',a1_6) ).
tff(29,plain,
! [A: $i,L: $i,C: $i] :
( ~ the_agent_not_in_any_proposed_teams(A,L,C)
| ~ ( accept_city(A,C)
& accept_leader(A,L) ) ),
inference(modus_ponens,[status(thm)],[28,27]) ).
tff(30,plain,
! [A: $i,L: $i,C: $i] :
( ~ the_agent_not_in_any_proposed_teams(A,L,C)
| ~ ( accept_city(A,C)
& accept_leader(A,L) ) ),
inference(modus_ponens,[status(thm)],[29,25]) ).
tff(31,plain,
! [A: $i,L: $i,C: $i] :
( ~ the_agent_not_in_any_proposed_teams(A,L,C)
| ~ ( accept_city(A,C)
& accept_leader(A,L) ) ),
inference(skolemize,[status(sab)],[30]) ).
tff(32,plain,
! [A: $i,L: $i,C: $i] :
( ~ the_agent_not_in_any_proposed_teams(A,L,C)
| ~ accept_leader(A,L)
| ~ accept_city(A,C) ),
inference(modus_ponens,[status(thm)],[31,24]) ).
tff(33,plain,
! [A: $i,L: $i,C: $i] :
( ~ the_agent_not_in_any_proposed_teams(A,L,C)
| ~ accept_leader(A,L)
| ~ accept_city(A,C) ),
inference(modus_ponens,[status(thm)],[32,22]) ).
tff(34,plain,
( ( ~ ! [A: $i,L: $i,C: $i] :
( ~ the_agent_not_in_any_proposed_teams(A,L,C)
| ~ accept_leader(A,L)
| ~ accept_city(A,C) )
| ~ accept_city(countryamedicalorganization,coastvillage)
| ~ the_agent_not_in_any_proposed_teams(countryamedicalorganization,christiancountrychumanitarianorganization,coastvillage)
| ~ accept_leader(countryamedicalorganization,christiancountrychumanitarianorganization) )
<=> ( ~ ! [A: $i,L: $i,C: $i] :
( ~ the_agent_not_in_any_proposed_teams(A,L,C)
| ~ accept_leader(A,L)
| ~ accept_city(A,C) )
| ~ accept_city(countryamedicalorganization,coastvillage)
| ~ the_agent_not_in_any_proposed_teams(countryamedicalorganization,christiancountrychumanitarianorganization,coastvillage)
| ~ accept_leader(countryamedicalorganization,christiancountrychumanitarianorganization) ) ),
inference(rewrite,[status(thm)],]) ).
tff(35,plain,
( ( ~ the_agent_not_in_any_proposed_teams(countryamedicalorganization,christiancountrychumanitarianorganization,coastvillage)
| ~ accept_leader(countryamedicalorganization,christiancountrychumanitarianorganization)
| ~ accept_city(countryamedicalorganization,coastvillage) )
<=> ( ~ accept_city(countryamedicalorganization,coastvillage)
| ~ the_agent_not_in_any_proposed_teams(countryamedicalorganization,christiancountrychumanitarianorganization,coastvillage)
| ~ accept_leader(countryamedicalorganization,christiancountrychumanitarianorganization) ) ),
inference(rewrite,[status(thm)],]) ).
tff(36,plain,
( ( ~ ! [A: $i,L: $i,C: $i] :
( ~ the_agent_not_in_any_proposed_teams(A,L,C)
| ~ accept_leader(A,L)
| ~ accept_city(A,C) )
| ~ the_agent_not_in_any_proposed_teams(countryamedicalorganization,christiancountrychumanitarianorganization,coastvillage)
| ~ accept_leader(countryamedicalorganization,christiancountrychumanitarianorganization)
| ~ accept_city(countryamedicalorganization,coastvillage) )
<=> ( ~ ! [A: $i,L: $i,C: $i] :
( ~ the_agent_not_in_any_proposed_teams(A,L,C)
| ~ accept_leader(A,L)
| ~ accept_city(A,C) )
| ~ accept_city(countryamedicalorganization,coastvillage)
| ~ the_agent_not_in_any_proposed_teams(countryamedicalorganization,christiancountrychumanitarianorganization,coastvillage)
| ~ accept_leader(countryamedicalorganization,christiancountrychumanitarianorganization) ) ),
inference(monotonicity,[status(thm)],[35]) ).
tff(37,plain,
( ( ~ ! [A: $i,L: $i,C: $i] :
( ~ the_agent_not_in_any_proposed_teams(A,L,C)
| ~ accept_leader(A,L)
| ~ accept_city(A,C) )
| ~ the_agent_not_in_any_proposed_teams(countryamedicalorganization,christiancountrychumanitarianorganization,coastvillage)
| ~ accept_leader(countryamedicalorganization,christiancountrychumanitarianorganization)
| ~ accept_city(countryamedicalorganization,coastvillage) )
<=> ( ~ ! [A: $i,L: $i,C: $i] :
( ~ the_agent_not_in_any_proposed_teams(A,L,C)
| ~ accept_leader(A,L)
| ~ accept_city(A,C) )
| ~ accept_city(countryamedicalorganization,coastvillage)
| ~ the_agent_not_in_any_proposed_teams(countryamedicalorganization,christiancountrychumanitarianorganization,coastvillage)
| ~ accept_leader(countryamedicalorganization,christiancountrychumanitarianorganization) ) ),
inference(transitivity,[status(thm)],[36,34]) ).
tff(38,plain,
( ~ ! [A: $i,L: $i,C: $i] :
( ~ the_agent_not_in_any_proposed_teams(A,L,C)
| ~ accept_leader(A,L)
| ~ accept_city(A,C) )
| ~ the_agent_not_in_any_proposed_teams(countryamedicalorganization,christiancountrychumanitarianorganization,coastvillage)
| ~ accept_leader(countryamedicalorganization,christiancountrychumanitarianorganization)
| ~ accept_city(countryamedicalorganization,coastvillage) ),
inference(quant_inst,[status(thm)],]) ).
tff(39,plain,
( ~ ! [A: $i,L: $i,C: $i] :
( ~ the_agent_not_in_any_proposed_teams(A,L,C)
| ~ accept_leader(A,L)
| ~ accept_city(A,C) )
| ~ accept_city(countryamedicalorganization,coastvillage)
| ~ the_agent_not_in_any_proposed_teams(countryamedicalorganization,christiancountrychumanitarianorganization,coastvillage)
| ~ accept_leader(countryamedicalorganization,christiancountrychumanitarianorganization) ),
inference(modus_ponens,[status(thm)],[38,37]) ).
tff(40,plain,
~ accept_city(countryamedicalorganization,coastvillage),
inference(unit_resolution,[status(thm)],[39,33,20,17]) ).
tff(41,plain,
^ [A: $i,C: $i,N: $i,L: $i] :
refl(
( ( 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(42,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)],[41]) ).
tff(43,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(44,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)],[43]) ).
tff(45,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(46,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(47,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)],[46]) ).
tff(48,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/sandbox/benchmark/Axioms/AGT001+0.ax',a1_1) ).
tff(49,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)],[48,47]) ).
tff(50,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)],[49,45]) ).
tff(51,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)],[50]) ).
tff(52,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)],[51,44]) ).
tff(53,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)],[52,42]) ).
tff(54,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) ) )
| ( accept_team(countryamedicalorganization,countryahumanitarianorganization,coastvillage,n5)
<=> ~ ( ~ accept_city(countryamedicalorganization,coastvillage)
| ~ accept_leader(countryamedicalorganization,countryahumanitarianorganization)
| ~ accept_number(countryamedicalorganization,n5) ) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(55,plain,
( accept_team(countryamedicalorganization,countryahumanitarianorganization,coastvillage,n5)
<=> ~ ( ~ accept_city(countryamedicalorganization,coastvillage)
| ~ accept_leader(countryamedicalorganization,countryahumanitarianorganization)
| ~ accept_number(countryamedicalorganization,n5) ) ),
inference(unit_resolution,[status(thm)],[54,53]) ).
tff(56,plain,
( accept_team(countryamedicalorganization,countryahumanitarianorganization,coastvillage,n5)
<=> accept_team(countryamedicalorganization,countryahumanitarianorganization,coastvillage,n5) ),
inference(rewrite,[status(thm)],]) ).
tff(57,plain,
( ~ ~ accept_team(countryamedicalorganization,countryahumanitarianorganization,coastvillage,n5)
<=> accept_team(countryamedicalorganization,countryahumanitarianorganization,coastvillage,n5) ),
inference(rewrite,[status(thm)],]) ).
tff(58,axiom,
~ ~ accept_team(countryamedicalorganization,countryahumanitarianorganization,coastvillage,n5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query_4) ).
tff(59,plain,
accept_team(countryamedicalorganization,countryahumanitarianorganization,coastvillage,n5),
inference(modus_ponens,[status(thm)],[58,57]) ).
tff(60,plain,
accept_team(countryamedicalorganization,countryahumanitarianorganization,coastvillage,n5),
inference(modus_ponens,[status(thm)],[59,56]) ).
tff(61,plain,
( ~ ( accept_team(countryamedicalorganization,countryahumanitarianorganization,coastvillage,n5)
<=> ~ ( ~ 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) ) ),
inference(tautology,[status(thm)],]) ).
tff(62,plain,
( ~ ( accept_team(countryamedicalorganization,countryahumanitarianorganization,coastvillage,n5)
<=> ~ ( ~ accept_city(countryamedicalorganization,coastvillage)
| ~ accept_leader(countryamedicalorganization,countryahumanitarianorganization)
| ~ accept_number(countryamedicalorganization,n5) ) )
| ~ ( ~ accept_city(countryamedicalorganization,coastvillage)
| ~ accept_leader(countryamedicalorganization,countryahumanitarianorganization)
| ~ accept_number(countryamedicalorganization,n5) ) ),
inference(unit_resolution,[status(thm)],[61,60]) ).
tff(63,plain,
~ ( ~ accept_city(countryamedicalorganization,coastvillage)
| ~ accept_leader(countryamedicalorganization,countryahumanitarianorganization)
| ~ accept_number(countryamedicalorganization,n5) ),
inference(unit_resolution,[status(thm)],[62,55]) ).
tff(64,plain,
( ~ accept_city(countryamedicalorganization,coastvillage)
| ~ accept_leader(countryamedicalorganization,countryahumanitarianorganization)
| ~ accept_number(countryamedicalorganization,n5)
| accept_city(countryamedicalorganization,coastvillage) ),
inference(tautology,[status(thm)],]) ).
tff(65,plain,
$false,
inference(unit_resolution,[status(thm)],[64,63,40]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : AGT004+1 : TPTP v8.1.0. Bugfixed v3.1.0.
% 0.03/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.14/0.35 % Computer : n021.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Aug 29 12:02:40 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.14/0.35 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.14/0.35 Usage: tptp [options] [-file:]file
% 0.14/0.35 -h, -? prints this message.
% 0.14/0.35 -smt2 print SMT-LIB2 benchmark.
% 0.14/0.35 -m, -model generate model.
% 0.14/0.35 -p, -proof generate proof.
% 0.14/0.35 -c, -core generate unsat core of named formulas.
% 0.14/0.35 -st, -statistics display statistics.
% 0.14/0.35 -t:timeout set timeout (in second).
% 0.14/0.35 -smt2status display status in smt2 format instead of SZS.
% 0.14/0.35 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.14/0.35 -<param>:<value> configuration parameter and value.
% 0.14/0.35 -o:<output-file> file to place output in.
% 0.21/0.49 % SZS status Theorem
% 0.21/0.49 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------