TSTP Solution File: PUZ061+1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : PUZ061+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n028.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 : Mon Jul 18 18:20:56 EDT 2022
% Result : Theorem 0.12s 0.34s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 1
% Syntax : Number of formulae : 32 ( 11 unt; 0 def)
% Number of atoms : 133 ( 0 equ)
% Maximal formula atoms : 17 ( 4 avg)
% Number of connectives : 141 ( 40 ~; 35 |; 48 &)
% ( 0 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 88 ( 4 sgn 69 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(prove_this,conjecture,
! [Peanuts,John,Bill,Sue,Apples,Chicken] :
( ( ! [X,Y] :
( ( alive(Y)
& eats(Y,Chicken) )
=> likes(Y,X) )
& ! [X] :
( food(X)
=> likes(John,X) )
& food(Apples)
& food(Chicken)
& ! [X] :
( ? [Y] :
( eats(Y,X)
& not_killed_by(Y,X) )
=> food(X) )
& eats(Bill,Peanuts)
& alive(Bill)
& ! [X] :
( eats(Bill,X)
=> eats(Sue,X) )
& ! [Y] :
( alive(Y)
=> ! [X] : not_killed_by(Y,X) ) )
=> likes(John,Peanuts) ) ).
fof(subgoal_0,plain,
! [Peanuts,John,Bill,Sue,Apples,Chicken] :
( ( ! [X,Y] :
( ( alive(Y)
& eats(Y,Chicken) )
=> likes(Y,X) )
& ! [X] :
( food(X)
=> likes(John,X) )
& food(Apples)
& food(Chicken)
& ! [X] :
( ? [Y] :
( eats(Y,X)
& not_killed_by(Y,X) )
=> food(X) )
& eats(Bill,Peanuts)
& alive(Bill)
& ! [X] :
( eats(Bill,X)
=> eats(Sue,X) )
& ! [Y] :
( alive(Y)
=> ! [X] : not_killed_by(Y,X) ) )
=> likes(John,Peanuts) ),
inference(strip,[],[prove_this]) ).
fof(negate_0_0,plain,
~ ! [Peanuts,John,Bill,Sue,Apples,Chicken] :
( ( ! [X,Y] :
( ( alive(Y)
& eats(Y,Chicken) )
=> likes(Y,X) )
& ! [X] :
( food(X)
=> likes(John,X) )
& food(Apples)
& food(Chicken)
& ! [X] :
( ? [Y] :
( eats(Y,X)
& not_killed_by(Y,X) )
=> food(X) )
& eats(Bill,Peanuts)
& alive(Bill)
& ! [X] :
( eats(Bill,X)
=> eats(Sue,X) )
& ! [Y] :
( alive(Y)
=> ! [X] : not_killed_by(Y,X) ) )
=> likes(John,Peanuts) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
? [Apples,Bill,Chicken,John,Peanuts,Sue] :
( ~ likes(John,Peanuts)
& alive(Bill)
& eats(Bill,Peanuts)
& food(Apples)
& food(Chicken)
& ! [X] :
( ~ eats(Bill,X)
| eats(Sue,X) )
& ! [X] :
( ~ food(X)
| likes(John,X) )
& ! [X] :
( food(X)
| ! [Y] :
( ~ eats(Y,X)
| ~ not_killed_by(Y,X) ) )
& ! [Y] :
( ~ alive(Y)
| ! [X] : not_killed_by(Y,X) )
& ! [X,Y] :
( ~ alive(Y)
| ~ eats(Y,Chicken)
| likes(Y,X) ) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
( ~ likes(skolemFOFtoCNF_John,skolemFOFtoCNF_Peanuts)
& alive(skolemFOFtoCNF_Bill)
& eats(skolemFOFtoCNF_Bill,skolemFOFtoCNF_Peanuts)
& food(skolemFOFtoCNF_Apples)
& food(skolemFOFtoCNF_Chicken)
& ! [X] :
( ~ eats(skolemFOFtoCNF_Bill,X)
| eats(skolemFOFtoCNF_Sue,X) )
& ! [X] :
( ~ food(X)
| likes(skolemFOFtoCNF_John,X) )
& ! [X] :
( food(X)
| ! [Y] :
( ~ eats(Y,X)
| ~ not_killed_by(Y,X) ) )
& ! [Y] :
( ~ alive(Y)
| ! [X] : not_killed_by(Y,X) )
& ! [X,Y] :
( ~ alive(Y)
| ~ eats(Y,skolemFOFtoCNF_Chicken)
| likes(Y,X) ) ),
inference(skolemize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
! [X] :
( ~ food(X)
| likes(skolemFOFtoCNF_John,X) ),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [X] :
( ~ food(X)
| likes(skolemFOFtoCNF_John,X) ),
inference(specialize,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
eats(skolemFOFtoCNF_Bill,skolemFOFtoCNF_Peanuts),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_5,plain,
alive(skolemFOFtoCNF_Bill),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_6,plain,
! [Y] :
( ~ alive(Y)
| ! [X] : not_killed_by(Y,X) ),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_7,plain,
! [Y] :
( ~ alive(Y)
| ! [X] : not_killed_by(Y,X) ),
inference(specialize,[],[normalize_0_6]) ).
fof(normalize_0_8,plain,
! [X,Y] :
( ~ alive(Y)
| not_killed_by(Y,X) ),
inference(clausify,[],[normalize_0_7]) ).
fof(normalize_0_9,plain,
! [X] :
( food(X)
| ! [Y] :
( ~ eats(Y,X)
| ~ not_killed_by(Y,X) ) ),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_10,plain,
! [X] :
( food(X)
| ! [Y] :
( ~ eats(Y,X)
| ~ not_killed_by(Y,X) ) ),
inference(specialize,[],[normalize_0_9]) ).
fof(normalize_0_11,plain,
! [X,Y] :
( ~ eats(Y,X)
| ~ not_killed_by(Y,X)
| food(X) ),
inference(clausify,[],[normalize_0_10]) ).
fof(normalize_0_12,plain,
~ likes(skolemFOFtoCNF_John,skolemFOFtoCNF_Peanuts),
inference(conjunct,[],[normalize_0_1]) ).
cnf(refute_0_0,plain,
( ~ food(X)
| likes(skolemFOFtoCNF_John,X) ),
inference(canonicalize,[],[normalize_0_3]) ).
cnf(refute_0_1,plain,
( ~ food(skolemFOFtoCNF_Peanuts)
| likes(skolemFOFtoCNF_John,skolemFOFtoCNF_Peanuts) ),
inference(subst,[],[refute_0_0:[bind(X,$fot(skolemFOFtoCNF_Peanuts))]]) ).
cnf(refute_0_2,plain,
eats(skolemFOFtoCNF_Bill,skolemFOFtoCNF_Peanuts),
inference(canonicalize,[],[normalize_0_4]) ).
cnf(refute_0_3,plain,
alive(skolemFOFtoCNF_Bill),
inference(canonicalize,[],[normalize_0_5]) ).
cnf(refute_0_4,plain,
( ~ alive(Y)
| not_killed_by(Y,X) ),
inference(canonicalize,[],[normalize_0_8]) ).
cnf(refute_0_5,plain,
( ~ alive(skolemFOFtoCNF_Bill)
| not_killed_by(skolemFOFtoCNF_Bill,X_2) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(X_2)),bind(Y,$fot(skolemFOFtoCNF_Bill))]]) ).
cnf(refute_0_6,plain,
not_killed_by(skolemFOFtoCNF_Bill,X_2),
inference(resolve,[$cnf( alive(skolemFOFtoCNF_Bill) )],[refute_0_3,refute_0_5]) ).
cnf(refute_0_7,plain,
not_killed_by(skolemFOFtoCNF_Bill,X_7),
inference(subst,[],[refute_0_6:[bind(X_2,$fot(X_7))]]) ).
cnf(refute_0_8,plain,
( ~ eats(Y,X)
| ~ not_killed_by(Y,X)
| food(X) ),
inference(canonicalize,[],[normalize_0_11]) ).
cnf(refute_0_9,plain,
( ~ eats(skolemFOFtoCNF_Bill,X_7)
| ~ not_killed_by(skolemFOFtoCNF_Bill,X_7)
| food(X_7) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(X_7)),bind(Y,$fot(skolemFOFtoCNF_Bill))]]) ).
cnf(refute_0_10,plain,
( ~ eats(skolemFOFtoCNF_Bill,X_7)
| food(X_7) ),
inference(resolve,[$cnf( not_killed_by(skolemFOFtoCNF_Bill,X_7) )],[refute_0_7,refute_0_9]) ).
cnf(refute_0_11,plain,
( ~ eats(skolemFOFtoCNF_Bill,skolemFOFtoCNF_Peanuts)
| food(skolemFOFtoCNF_Peanuts) ),
inference(subst,[],[refute_0_10:[bind(X_7,$fot(skolemFOFtoCNF_Peanuts))]]) ).
cnf(refute_0_12,plain,
food(skolemFOFtoCNF_Peanuts),
inference(resolve,[$cnf( eats(skolemFOFtoCNF_Bill,skolemFOFtoCNF_Peanuts) )],[refute_0_2,refute_0_11]) ).
cnf(refute_0_13,plain,
likes(skolemFOFtoCNF_John,skolemFOFtoCNF_Peanuts),
inference(resolve,[$cnf( food(skolemFOFtoCNF_Peanuts) )],[refute_0_12,refute_0_1]) ).
cnf(refute_0_14,plain,
~ likes(skolemFOFtoCNF_John,skolemFOFtoCNF_Peanuts),
inference(canonicalize,[],[normalize_0_12]) ).
cnf(refute_0_15,plain,
$false,
inference(resolve,[$cnf( likes(skolemFOFtoCNF_John,skolemFOFtoCNF_Peanuts) )],[refute_0_13,refute_0_14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : PUZ061+1 : TPTP v8.1.0. Released v3.1.0.
% 0.06/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n028.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sat May 28 21:37:02 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.12/0.34 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.34
% 0.12/0.34 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.12/0.35
%------------------------------------------------------------------------------