%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : AGT014+2 : TPTP v8.1.0. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n026.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 39.87s 40.06s
% Output : CNFRefutation 39.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 3
% Syntax : Number of formulae : 27 ( 17 unt; 0 def)
% Number of atoms : 77 ( 0 equ)
% Maximal formula atoms : 16 ( 2 avg)
% Number of connectives : 99 ( 49 ~; 38 |; 9 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 11 con; 0-0 aty)
% Number of variables : 34 ( 9 sgn 11 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(a2_7,axiom,
! [A] :
( ( accept_population(A,atheist,n12)
& accept_population(A,christian,n3)
& accept_population(A,muslim,n0)
& accept_population(A,native,n85)
& accept_population(A,other,n0) )
<=> accept_city(A,coastvillage) ) ).
fof(deduced_13,axiom,
~ accept_city(countryamedicalorganization,coastvillage) ).
fof(query_14,conjecture,
? [X,Y,Z] : ~ accept_population(X,Y,Z) ).
fof(subgoal_0,plain,
? [X,Y,Z] : ~ accept_population(X,Y,Z),
inference(strip,[],[query_14]) ).
fof(negate_0_0,plain,
~ ? [X,Y,Z] : ~ accept_population(X,Y,Z),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
~ accept_city(countryamedicalorganization,coastvillage),
inference(canonicalize,[],[deduced_13]) ).
fof(normalize_0_1,plain,
! [A] :
( ~ accept_city(A,coastvillage)
<=> ( ~ accept_population(A,atheist,n12)
| ~ accept_population(A,christian,n3)
| ~ accept_population(A,muslim,n0)
| ~ accept_population(A,native,n85)
| ~ accept_population(A,other,n0) ) ),
inference(canonicalize,[],[a2_7]) ).
fof(normalize_0_2,plain,
! [A] :
( ~ accept_city(A,coastvillage)
<=> ( ~ accept_population(A,atheist,n12)
| ~ accept_population(A,christian,n3)
| ~ accept_population(A,muslim,n0)
| ~ accept_population(A,native,n85)
| ~ accept_population(A,other,n0) ) ),
inference(specialize,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [A] :
( ( ~ accept_city(A,coastvillage)
| accept_population(A,atheist,n12) )
& ( ~ accept_city(A,coastvillage)
| accept_population(A,christian,n3) )
& ( ~ accept_city(A,coastvillage)
| accept_population(A,muslim,n0) )
& ( ~ accept_city(A,coastvillage)
| accept_population(A,native,n85) )
& ( ~ accept_city(A,coastvillage)
| accept_population(A,other,n0) )
& ( ~ accept_population(A,atheist,n12)
| ~ accept_population(A,christian,n3)
| ~ accept_population(A,muslim,n0)
| ~ accept_population(A,native,n85)
| ~ accept_population(A,other,n0)
| accept_city(A,coastvillage) ) ),
inference(clausify,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
! [A] :
( ~ accept_population(A,atheist,n12)
| ~ accept_population(A,christian,n3)
| ~ accept_population(A,muslim,n0)
| ~ accept_population(A,native,n85)
| ~ accept_population(A,other,n0)
| accept_city(A,coastvillage) ),
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_5,plain,
! [X,Y,Z] : accept_population(X,Y,Z),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_6,plain,
! [X,Y,Z] : accept_population(X,Y,Z),
inference(specialize,[],[normalize_0_5]) ).
cnf(refute_0_0,plain,
~ accept_city(countryamedicalorganization,coastvillage),
inference(canonicalize,[],[normalize_0_0]) ).
cnf(refute_0_1,plain,
( ~ accept_population(A,atheist,n12)
| ~ accept_population(A,christian,n3)
| ~ accept_population(A,muslim,n0)
| ~ accept_population(A,native,n85)
| ~ accept_population(A,other,n0)
| accept_city(A,coastvillage) ),
inference(canonicalize,[],[normalize_0_4]) ).
cnf(refute_0_2,plain,
accept_population(X,Y,Z),
inference(canonicalize,[],[normalize_0_6]) ).
cnf(refute_0_3,plain,
accept_population(A,atheist,n12),
inference(subst,[],[refute_0_2:[bind(X,$fot(A)),bind(Y,$fot(atheist)),bind(Z,$fot(n12))]]) ).
cnf(refute_0_4,plain,
( ~ accept_population(A,christian,n3)
| ~ accept_population(A,muslim,n0)
| ~ accept_population(A,native,n85)
| ~ accept_population(A,other,n0)
| accept_city(A,coastvillage) ),
inference(resolve,[$cnf( accept_population(A,atheist,n12) )],[refute_0_3,refute_0_1]) ).
cnf(refute_0_5,plain,
accept_population(A,christian,n3),
inference(subst,[],[refute_0_2:[bind(X,$fot(A)),bind(Y,$fot(christian)),bind(Z,$fot(n3))]]) ).
cnf(refute_0_6,plain,
( ~ accept_population(A,muslim,n0)
| ~ accept_population(A,native,n85)
| ~ accept_population(A,other,n0)
| accept_city(A,coastvillage) ),
inference(resolve,[$cnf( accept_population(A,christian,n3) )],[refute_0_5,refute_0_4]) ).
cnf(refute_0_7,plain,
accept_population(A,muslim,n0),
inference(subst,[],[refute_0_2:[bind(X,$fot(A)),bind(Y,$fot(muslim)),bind(Z,$fot(n0))]]) ).
cnf(refute_0_8,plain,
( ~ accept_population(A,native,n85)
| ~ accept_population(A,other,n0)
| accept_city(A,coastvillage) ),
inference(resolve,[$cnf( accept_population(A,muslim,n0) )],[refute_0_7,refute_0_6]) ).
cnf(refute_0_9,plain,
accept_population(A,native,n85),
inference(subst,[],[refute_0_2:[bind(X,$fot(A)),bind(Y,$fot(native)),bind(Z,$fot(n85))]]) ).
cnf(refute_0_10,plain,
( ~ accept_population(A,other,n0)
| accept_city(A,coastvillage) ),
inference(resolve,[$cnf( accept_population(A,native,n85) )],[refute_0_9,refute_0_8]) ).
cnf(refute_0_11,plain,
accept_population(A,other,n0),
inference(subst,[],[refute_0_2:[bind(X,$fot(A)),bind(Y,$fot(other)),bind(Z,$fot(n0))]]) ).
cnf(refute_0_12,plain,
accept_city(A,coastvillage),
inference(resolve,[$cnf( accept_population(A,other,n0) )],[refute_0_11,refute_0_10]) ).
cnf(refute_0_13,plain,
accept_city(countryamedicalorganization,coastvillage),
inference(subst,[],[refute_0_12:[bind(A,$fot(countryamedicalorganization))]]) ).
cnf(refute_0_14,plain,
$false,
inference(resolve,[$cnf( accept_city(countryamedicalorganization,coastvillage) )],[refute_0_13,refute_0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : AGT014+2 : TPTP v8.1.0. Bugfixed v3.1.0.
% 0.03/0.13 % Command : metis --show proof --show saturation %s
% 0.14/0.34 % Computer : n026.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Sat Jun 4 06:49:14 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.14/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 39.87/40.06 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 39.87/40.06
% 39.87/40.06 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 39.87/40.07
%------------------------------------------------------------------------------