TSTP Solution File: AGT016+1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : AGT016+1 : TPTP v8.1.0. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n022.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 : 600s
% DateTime : Thu Jul 14 12:02:04 EDT 2022
% Result : Theorem 156.60s 156.88s
% Output : CNFRefutation 156.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 6
% Syntax : Number of formulae : 44 ( 21 unt; 0 def)
% Number of atoms : 116 ( 0 equ)
% Maximal formula atoms : 16 ( 2 avg)
% Number of connectives : 144 ( 72 ~; 57 |; 10 &)
% ( 3 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 12 con; 0-0 aty)
% Number of variables : 45 ( 3 sgn 30 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(a1_5,axiom,
! [A,L,C] :
( any_agent_in_all_proposed_teams(A,L,C)
=> accept_leader(A,L) ) ).
fof(a1_6,axiom,
! [A,L,C] :
( the_agent_not_in_any_proposed_teams(A,L,C)
=> ~ ( accept_city(A,C)
& accept_leader(A,L) ) ) ).
fof(a2_9,axiom,
! [A] :
( ( accept_population(A,atheist,n75)
& accept_population(A,christian,n24)
& accept_population(A,muslim,n1)
& accept_population(A,native,n0)
& accept_population(A,other,n0) )
<=> accept_city(A,towna) ) ).
fof(event_11,axiom,
the_agent_not_in_any_proposed_teams(muslimcountrybhumanitarianorganization,countryacivilorganization,towna) ).
fof(event_12,axiom,
any_agent_in_all_proposed_teams(muslimcountrybhumanitarianorganization,countryacivilorganization,towna) ).
fof(query_16,conjecture,
? [X,Y] : ~ accept_population(muslimcountrybhumanitarianorganization,X,Y) ).
fof(subgoal_0,plain,
? [X,Y] : ~ accept_population(muslimcountrybhumanitarianorganization,X,Y),
inference(strip,[],[query_16]) ).
fof(negate_0_0,plain,
~ ? [X,Y] : ~ accept_population(muslimcountrybhumanitarianorganization,X,Y),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
! [X,Y] : accept_population(muslimcountrybhumanitarianorganization,X,Y),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
! [X,Y] : accept_population(muslimcountrybhumanitarianorganization,X,Y),
inference(specialize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
! [A] :
( ~ accept_city(A,towna)
<=> ( ~ accept_population(A,atheist,n75)
| ~ accept_population(A,christian,n24)
| ~ accept_population(A,muslim,n1)
| ~ accept_population(A,native,n0)
| ~ accept_population(A,other,n0) ) ),
inference(canonicalize,[],[a2_9]) ).
fof(normalize_0_3,plain,
! [A] :
( ~ accept_city(A,towna)
<=> ( ~ accept_population(A,atheist,n75)
| ~ accept_population(A,christian,n24)
| ~ accept_population(A,muslim,n1)
| ~ accept_population(A,native,n0)
| ~ accept_population(A,other,n0) ) ),
inference(specialize,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
! [A] :
( ( ~ accept_city(A,towna)
| accept_population(A,atheist,n75) )
& ( ~ accept_city(A,towna)
| accept_population(A,christian,n24) )
& ( ~ accept_city(A,towna)
| accept_population(A,muslim,n1) )
& ( ~ accept_city(A,towna)
| accept_population(A,native,n0) )
& ( ~ accept_city(A,towna)
| accept_population(A,other,n0) )
& ( ~ accept_population(A,atheist,n75)
| ~ accept_population(A,christian,n24)
| ~ accept_population(A,muslim,n1)
| ~ accept_population(A,native,n0)
| ~ accept_population(A,other,n0)
| accept_city(A,towna) ) ),
inference(clausify,[],[normalize_0_3]) ).
fof(normalize_0_5,plain,
! [A] :
( ~ accept_population(A,atheist,n75)
| ~ accept_population(A,christian,n24)
| ~ accept_population(A,muslim,n1)
| ~ accept_population(A,native,n0)
| ~ accept_population(A,other,n0)
| accept_city(A,towna) ),
inference(conjunct,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
the_agent_not_in_any_proposed_teams(muslimcountrybhumanitarianorganization,countryacivilorganization,towna),
inference(canonicalize,[],[event_11]) ).
fof(normalize_0_7,plain,
! [A,C,L] :
( ~ accept_city(A,C)
| ~ accept_leader(A,L)
| ~ the_agent_not_in_any_proposed_teams(A,L,C) ),
inference(canonicalize,[],[a1_6]) ).
fof(normalize_0_8,plain,
! [A,C,L] :
( ~ accept_city(A,C)
| ~ accept_leader(A,L)
| ~ the_agent_not_in_any_proposed_teams(A,L,C) ),
inference(specialize,[],[normalize_0_7]) ).
fof(normalize_0_9,plain,
any_agent_in_all_proposed_teams(muslimcountrybhumanitarianorganization,countryacivilorganization,towna),
inference(canonicalize,[],[event_12]) ).
fof(normalize_0_10,plain,
! [A,L] :
( accept_leader(A,L)
| ! [C] : ~ any_agent_in_all_proposed_teams(A,L,C) ),
inference(canonicalize,[],[a1_5]) ).
fof(normalize_0_11,plain,
! [A,L] :
( accept_leader(A,L)
| ! [C] : ~ any_agent_in_all_proposed_teams(A,L,C) ),
inference(specialize,[],[normalize_0_10]) ).
fof(normalize_0_12,plain,
! [A,C,L] :
( ~ any_agent_in_all_proposed_teams(A,L,C)
| accept_leader(A,L) ),
inference(clausify,[],[normalize_0_11]) ).
cnf(refute_0_0,plain,
accept_population(muslimcountrybhumanitarianorganization,X,Y),
inference(canonicalize,[],[normalize_0_1]) ).
cnf(refute_0_1,plain,
accept_population(muslimcountrybhumanitarianorganization,other,n0),
inference(subst,[],[refute_0_0:[bind(X,$fot(other)),bind(Y,$fot(n0))]]) ).
cnf(refute_0_2,plain,
( ~ accept_population(A,atheist,n75)
| ~ accept_population(A,christian,n24)
| ~ accept_population(A,muslim,n1)
| ~ accept_population(A,native,n0)
| ~ accept_population(A,other,n0)
| accept_city(A,towna) ),
inference(canonicalize,[],[normalize_0_5]) ).
cnf(refute_0_3,plain,
( ~ accept_population(muslimcountrybhumanitarianorganization,atheist,n75)
| ~ accept_population(muslimcountrybhumanitarianorganization,christian,n24)
| ~ accept_population(muslimcountrybhumanitarianorganization,muslim,n1)
| ~ accept_population(muslimcountrybhumanitarianorganization,native,n0)
| ~ accept_population(muslimcountrybhumanitarianorganization,other,n0)
| accept_city(muslimcountrybhumanitarianorganization,towna) ),
inference(subst,[],[refute_0_2:[bind(A,$fot(muslimcountrybhumanitarianorganization))]]) ).
cnf(refute_0_4,plain,
( ~ accept_population(muslimcountrybhumanitarianorganization,atheist,n75)
| ~ accept_population(muslimcountrybhumanitarianorganization,christian,n24)
| ~ accept_population(muslimcountrybhumanitarianorganization,muslim,n1)
| ~ accept_population(muslimcountrybhumanitarianorganization,native,n0)
| accept_city(muslimcountrybhumanitarianorganization,towna) ),
inference(resolve,[$cnf( accept_population(muslimcountrybhumanitarianorganization,other,n0) )],[refute_0_1,refute_0_3]) ).
cnf(refute_0_5,plain,
accept_population(muslimcountrybhumanitarianorganization,atheist,n75),
inference(subst,[],[refute_0_0:[bind(X,$fot(atheist)),bind(Y,$fot(n75))]]) ).
cnf(refute_0_6,plain,
( ~ accept_population(muslimcountrybhumanitarianorganization,christian,n24)
| ~ accept_population(muslimcountrybhumanitarianorganization,muslim,n1)
| ~ accept_population(muslimcountrybhumanitarianorganization,native,n0)
| accept_city(muslimcountrybhumanitarianorganization,towna) ),
inference(resolve,[$cnf( accept_population(muslimcountrybhumanitarianorganization,atheist,n75) )],[refute_0_5,refute_0_4]) ).
cnf(refute_0_7,plain,
accept_population(muslimcountrybhumanitarianorganization,christian,n24),
inference(subst,[],[refute_0_0:[bind(X,$fot(christian)),bind(Y,$fot(n24))]]) ).
cnf(refute_0_8,plain,
( ~ accept_population(muslimcountrybhumanitarianorganization,muslim,n1)
| ~ accept_population(muslimcountrybhumanitarianorganization,native,n0)
| accept_city(muslimcountrybhumanitarianorganization,towna) ),
inference(resolve,[$cnf( accept_population(muslimcountrybhumanitarianorganization,christian,n24) )],[refute_0_7,refute_0_6]) ).
cnf(refute_0_9,plain,
accept_population(muslimcountrybhumanitarianorganization,muslim,n1),
inference(subst,[],[refute_0_0:[bind(X,$fot(muslim)),bind(Y,$fot(n1))]]) ).
cnf(refute_0_10,plain,
( ~ accept_population(muslimcountrybhumanitarianorganization,native,n0)
| accept_city(muslimcountrybhumanitarianorganization,towna) ),
inference(resolve,[$cnf( accept_population(muslimcountrybhumanitarianorganization,muslim,n1) )],[refute_0_9,refute_0_8]) ).
cnf(refute_0_11,plain,
accept_population(muslimcountrybhumanitarianorganization,native,n0),
inference(subst,[],[refute_0_0:[bind(X,$fot(native)),bind(Y,$fot(n0))]]) ).
cnf(refute_0_12,plain,
accept_city(muslimcountrybhumanitarianorganization,towna),
inference(resolve,[$cnf( accept_population(muslimcountrybhumanitarianorganization,native,n0) )],[refute_0_11,refute_0_10]) ).
cnf(refute_0_13,plain,
the_agent_not_in_any_proposed_teams(muslimcountrybhumanitarianorganization,countryacivilorganization,towna),
inference(canonicalize,[],[normalize_0_6]) ).
cnf(refute_0_14,plain,
( ~ accept_city(A,C)
| ~ accept_leader(A,L)
| ~ the_agent_not_in_any_proposed_teams(A,L,C) ),
inference(canonicalize,[],[normalize_0_8]) ).
cnf(refute_0_15,plain,
( ~ accept_city(muslimcountrybhumanitarianorganization,towna)
| ~ accept_leader(muslimcountrybhumanitarianorganization,countryacivilorganization)
| ~ the_agent_not_in_any_proposed_teams(muslimcountrybhumanitarianorganization,countryacivilorganization,towna) ),
inference(subst,[],[refute_0_14:[bind(A,$fot(muslimcountrybhumanitarianorganization)),bind(C,$fot(towna)),bind(L,$fot(countryacivilorganization))]]) ).
cnf(refute_0_16,plain,
( ~ accept_city(muslimcountrybhumanitarianorganization,towna)
| ~ accept_leader(muslimcountrybhumanitarianorganization,countryacivilorganization) ),
inference(resolve,[$cnf( the_agent_not_in_any_proposed_teams(muslimcountrybhumanitarianorganization,countryacivilorganization,towna) )],[refute_0_13,refute_0_15]) ).
cnf(refute_0_17,plain,
any_agent_in_all_proposed_teams(muslimcountrybhumanitarianorganization,countryacivilorganization,towna),
inference(canonicalize,[],[normalize_0_9]) ).
cnf(refute_0_18,plain,
( ~ any_agent_in_all_proposed_teams(A,L,C)
| accept_leader(A,L) ),
inference(canonicalize,[],[normalize_0_12]) ).
cnf(refute_0_19,plain,
( ~ any_agent_in_all_proposed_teams(muslimcountrybhumanitarianorganization,countryacivilorganization,towna)
| accept_leader(muslimcountrybhumanitarianorganization,countryacivilorganization) ),
inference(subst,[],[refute_0_18:[bind(A,$fot(muslimcountrybhumanitarianorganization)),bind(C,$fot(towna)),bind(L,$fot(countryacivilorganization))]]) ).
cnf(refute_0_20,plain,
accept_leader(muslimcountrybhumanitarianorganization,countryacivilorganization),
inference(resolve,[$cnf( any_agent_in_all_proposed_teams(muslimcountrybhumanitarianorganization,countryacivilorganization,towna) )],[refute_0_17,refute_0_19]) ).
cnf(refute_0_21,plain,
~ accept_city(muslimcountrybhumanitarianorganization,towna),
inference(resolve,[$cnf( accept_leader(muslimcountrybhumanitarianorganization,countryacivilorganization) )],[refute_0_20,refute_0_16]) ).
cnf(refute_0_22,plain,
$false,
inference(resolve,[$cnf( accept_city(muslimcountrybhumanitarianorganization,towna) )],[refute_0_12,refute_0_21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : AGT016+1 : TPTP v8.1.0. Bugfixed v3.1.0.
% 0.11/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.34 % Computer : n022.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 : 600
% 0.13/0.34 % DateTime : Sat Jun 4 06:42:51 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 156.60/156.88 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 156.60/156.88
% 156.60/156.88 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 156.60/156.88
%------------------------------------------------------------------------------