TSTP Solution File: PUZ005+1 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : PUZ005+1 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n020.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 18:20:25 EDT 2022
% Result : Theorem 2.11s 2.33s
% Output : CNFRefutation 2.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 11
% Syntax : Number of formulae : 77 ( 14 unt; 0 def)
% Number of atoms : 191 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 212 ( 98 ~; 93 |; 8 &)
% ( 0 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 60 ( 0 sgn 39 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(thursday,axiom,
thursday(a_thursday) ).
fof(wednesday_is_a_day,axiom,
! [X] :
( wednesday(X)
=> day(X) ) ).
fof(thursday_is_a_day,axiom,
! [X] :
( thursday(X)
=> day(X) ) ).
fof(thursday_follows_wednesday,axiom,
! [X] :
( thursday(X)
=> wednesday(yesterday(X)) ) ).
fof(lion_lies_wednesday,axiom,
! [X] :
( wednesday(X)
=> lion_lies(X) ) ).
fof(lion_does_not_lie_thursday,axiom,
! [X] :
( thursday(X)
=> ~ lion_lies(X) ) ).
fof(unicorn_does_not_lie_wednesday,axiom,
! [X] :
( wednesday(X)
=> ~ unicorn_lies(X) ) ).
fof(unicorn_lies_thursday,axiom,
! [X] :
( thursday(X)
=> unicorn_lies(X) ) ).
fof(lion_lies_on_neither,axiom,
! [X] :
( day(X)
=> ! [Y] :
( day(Y)
=> ( ( ~ lion_lies(X)
& ~ lies_on_one_of(a_lion,X,Y) )
=> ~ lion_lies(Y) ) ) ) ).
fof(unicorn_lies_on_both,axiom,
! [X] :
( day(X)
=> ! [Y] :
( day(Y)
=> ( ( unicorn_lies(X)
& ~ lies_on_one_of(a_unicorn,X,Y) )
=> unicorn_lies(Y) ) ) ) ).
fof(prove_there_are_close_lying_days,conjecture,
? [X] :
( day(X)
& lies_on_one_of(a_lion,X,yesterday(X))
& lies_on_one_of(a_unicorn,X,yesterday(X)) ) ).
fof(subgoal_0,plain,
? [X] :
( day(X)
& lies_on_one_of(a_lion,X,yesterday(X))
& lies_on_one_of(a_unicorn,X,yesterday(X)) ),
inference(strip,[],[prove_there_are_close_lying_days]) ).
fof(negate_0_0,plain,
~ ? [X] :
( day(X)
& lies_on_one_of(a_lion,X,yesterday(X))
& lies_on_one_of(a_unicorn,X,yesterday(X)) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
! [X] :
( ~ day(X)
| ~ lies_on_one_of(a_lion,X,yesterday(X))
| ~ lies_on_one_of(a_unicorn,X,yesterday(X)) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
! [X] :
( ~ day(X)
| ~ lies_on_one_of(a_lion,X,yesterday(X))
| ~ lies_on_one_of(a_unicorn,X,yesterday(X)) ),
inference(specialize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
! [X] :
( ~ wednesday(X)
| day(X) ),
inference(canonicalize,[],[wednesday_is_a_day]) ).
fof(normalize_0_3,plain,
! [X] :
( ~ wednesday(X)
| day(X) ),
inference(specialize,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
thursday(a_thursday),
inference(canonicalize,[],[thursday]) ).
fof(normalize_0_5,plain,
! [X] :
( ~ thursday(X)
| wednesday(yesterday(X)) ),
inference(canonicalize,[],[thursday_follows_wednesday]) ).
fof(normalize_0_6,plain,
! [X] :
( ~ thursday(X)
| wednesday(yesterday(X)) ),
inference(specialize,[],[normalize_0_5]) ).
fof(normalize_0_7,plain,
! [X] :
( ~ thursday(X)
| unicorn_lies(X) ),
inference(canonicalize,[],[unicorn_lies_thursday]) ).
fof(normalize_0_8,plain,
! [X] :
( ~ thursday(X)
| unicorn_lies(X) ),
inference(specialize,[],[normalize_0_7]) ).
fof(normalize_0_9,plain,
! [X] :
( ~ day(X)
| ! [Y] :
( ~ day(Y)
| ~ unicorn_lies(X)
| lies_on_one_of(a_unicorn,X,Y)
| unicorn_lies(Y) ) ),
inference(canonicalize,[],[unicorn_lies_on_both]) ).
fof(normalize_0_10,plain,
! [X] :
( ~ day(X)
| ! [Y] :
( ~ day(Y)
| ~ unicorn_lies(X)
| lies_on_one_of(a_unicorn,X,Y)
| unicorn_lies(Y) ) ),
inference(specialize,[],[normalize_0_9]) ).
fof(normalize_0_11,plain,
! [X,Y] :
( ~ day(X)
| ~ day(Y)
| ~ unicorn_lies(X)
| lies_on_one_of(a_unicorn,X,Y)
| unicorn_lies(Y) ),
inference(clausify,[],[normalize_0_10]) ).
fof(normalize_0_12,plain,
! [X] :
( ~ thursday(X)
| day(X) ),
inference(canonicalize,[],[thursday_is_a_day]) ).
fof(normalize_0_13,plain,
! [X] :
( ~ thursday(X)
| day(X) ),
inference(specialize,[],[normalize_0_12]) ).
fof(normalize_0_14,plain,
! [X] :
( ~ unicorn_lies(X)
| ~ wednesday(X) ),
inference(canonicalize,[],[unicorn_does_not_lie_wednesday]) ).
fof(normalize_0_15,plain,
! [X] :
( ~ unicorn_lies(X)
| ~ wednesday(X) ),
inference(specialize,[],[normalize_0_14]) ).
fof(normalize_0_16,plain,
! [X] :
( ~ wednesday(X)
| lion_lies(X) ),
inference(canonicalize,[],[lion_lies_wednesday]) ).
fof(normalize_0_17,plain,
! [X] :
( ~ wednesday(X)
| lion_lies(X) ),
inference(specialize,[],[normalize_0_16]) ).
fof(normalize_0_18,plain,
! [X] :
( ~ day(X)
| ! [Y] :
( ~ day(Y)
| ~ lion_lies(Y)
| lies_on_one_of(a_lion,X,Y)
| lion_lies(X) ) ),
inference(canonicalize,[],[lion_lies_on_neither]) ).
fof(normalize_0_19,plain,
! [X] :
( ~ day(X)
| ! [Y] :
( ~ day(Y)
| ~ lion_lies(Y)
| lies_on_one_of(a_lion,X,Y)
| lion_lies(X) ) ),
inference(specialize,[],[normalize_0_18]) ).
fof(normalize_0_20,plain,
! [X,Y] :
( ~ day(X)
| ~ day(Y)
| ~ lion_lies(Y)
| lies_on_one_of(a_lion,X,Y)
| lion_lies(X) ),
inference(clausify,[],[normalize_0_19]) ).
fof(normalize_0_21,plain,
! [X] :
( ~ lion_lies(X)
| ~ thursday(X) ),
inference(canonicalize,[],[lion_does_not_lie_thursday]) ).
fof(normalize_0_22,plain,
! [X] :
( ~ lion_lies(X)
| ~ thursday(X) ),
inference(specialize,[],[normalize_0_21]) ).
cnf(refute_0_0,plain,
( ~ day(X)
| ~ lies_on_one_of(a_lion,X,yesterday(X))
| ~ lies_on_one_of(a_unicorn,X,yesterday(X)) ),
inference(canonicalize,[],[normalize_0_1]) ).
cnf(refute_0_1,plain,
( ~ day(a_thursday)
| ~ lies_on_one_of(a_lion,a_thursday,yesterday(a_thursday))
| ~ lies_on_one_of(a_unicorn,a_thursday,yesterday(a_thursday)) ),
inference(subst,[],[refute_0_0:[bind(X,$fot(a_thursday))]]) ).
cnf(refute_0_2,plain,
( ~ wednesday(X)
| day(X) ),
inference(canonicalize,[],[normalize_0_3]) ).
cnf(refute_0_3,plain,
( ~ wednesday(yesterday(a_thursday))
| day(yesterday(a_thursday)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(yesterday(a_thursday)))]]) ).
cnf(refute_0_4,plain,
thursday(a_thursday),
inference(canonicalize,[],[normalize_0_4]) ).
cnf(refute_0_5,plain,
( ~ thursday(X)
| wednesday(yesterday(X)) ),
inference(canonicalize,[],[normalize_0_6]) ).
cnf(refute_0_6,plain,
( ~ thursday(a_thursday)
| wednesday(yesterday(a_thursday)) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(a_thursday))]]) ).
cnf(refute_0_7,plain,
wednesday(yesterday(a_thursday)),
inference(resolve,[$cnf( thursday(a_thursday) )],[refute_0_4,refute_0_6]) ).
cnf(refute_0_8,plain,
day(yesterday(a_thursday)),
inference(resolve,[$cnf( wednesday(yesterday(a_thursday)) )],[refute_0_7,refute_0_3]) ).
cnf(refute_0_9,plain,
( ~ thursday(X)
| unicorn_lies(X) ),
inference(canonicalize,[],[normalize_0_8]) ).
cnf(refute_0_10,plain,
( ~ thursday(a_thursday)
| unicorn_lies(a_thursday) ),
inference(subst,[],[refute_0_9:[bind(X,$fot(a_thursday))]]) ).
cnf(refute_0_11,plain,
unicorn_lies(a_thursday),
inference(resolve,[$cnf( thursday(a_thursday) )],[refute_0_4,refute_0_10]) ).
cnf(refute_0_12,plain,
( ~ day(X)
| ~ day(Y)
| ~ unicorn_lies(X)
| lies_on_one_of(a_unicorn,X,Y)
| unicorn_lies(Y) ),
inference(canonicalize,[],[normalize_0_11]) ).
cnf(refute_0_13,plain,
( ~ day(X_144)
| ~ day(a_thursday)
| ~ unicorn_lies(a_thursday)
| lies_on_one_of(a_unicorn,a_thursday,X_144)
| unicorn_lies(X_144) ),
inference(subst,[],[refute_0_12:[bind(X,$fot(a_thursday)),bind(Y,$fot(X_144))]]) ).
cnf(refute_0_14,plain,
( ~ day(X_144)
| ~ day(a_thursday)
| lies_on_one_of(a_unicorn,a_thursday,X_144)
| unicorn_lies(X_144) ),
inference(resolve,[$cnf( unicorn_lies(a_thursday) )],[refute_0_11,refute_0_13]) ).
cnf(refute_0_15,plain,
( ~ thursday(X)
| day(X) ),
inference(canonicalize,[],[normalize_0_13]) ).
cnf(refute_0_16,plain,
( ~ thursday(a_thursday)
| day(a_thursday) ),
inference(subst,[],[refute_0_15:[bind(X,$fot(a_thursday))]]) ).
cnf(refute_0_17,plain,
day(a_thursday),
inference(resolve,[$cnf( thursday(a_thursday) )],[refute_0_4,refute_0_16]) ).
cnf(refute_0_18,plain,
( ~ day(X_144)
| lies_on_one_of(a_unicorn,a_thursday,X_144)
| unicorn_lies(X_144) ),
inference(resolve,[$cnf( day(a_thursday) )],[refute_0_17,refute_0_14]) ).
cnf(refute_0_19,plain,
( ~ day(yesterday(a_thursday))
| lies_on_one_of(a_unicorn,a_thursday,yesterday(a_thursday))
| unicorn_lies(yesterday(a_thursday)) ),
inference(subst,[],[refute_0_18:[bind(X_144,$fot(yesterday(a_thursday)))]]) ).
cnf(refute_0_20,plain,
( lies_on_one_of(a_unicorn,a_thursday,yesterday(a_thursday))
| unicorn_lies(yesterday(a_thursday)) ),
inference(resolve,[$cnf( day(yesterday(a_thursday)) )],[refute_0_8,refute_0_19]) ).
cnf(refute_0_21,plain,
( ~ unicorn_lies(X)
| ~ wednesday(X) ),
inference(canonicalize,[],[normalize_0_15]) ).
cnf(refute_0_22,plain,
( ~ unicorn_lies(yesterday(a_thursday))
| ~ wednesday(yesterday(a_thursday)) ),
inference(subst,[],[refute_0_21:[bind(X,$fot(yesterday(a_thursday)))]]) ).
cnf(refute_0_23,plain,
~ unicorn_lies(yesterday(a_thursday)),
inference(resolve,[$cnf( wednesday(yesterday(a_thursday)) )],[refute_0_7,refute_0_22]) ).
cnf(refute_0_24,plain,
lies_on_one_of(a_unicorn,a_thursday,yesterday(a_thursday)),
inference(resolve,[$cnf( unicorn_lies(yesterday(a_thursday)) )],[refute_0_20,refute_0_23]) ).
cnf(refute_0_25,plain,
( ~ day(a_thursday)
| ~ lies_on_one_of(a_lion,a_thursday,yesterday(a_thursday)) ),
inference(resolve,[$cnf( lies_on_one_of(a_unicorn,a_thursday,yesterday(a_thursday)) )],[refute_0_24,refute_0_1]) ).
cnf(refute_0_26,plain,
~ lies_on_one_of(a_lion,a_thursday,yesterday(a_thursday)),
inference(resolve,[$cnf( day(a_thursday) )],[refute_0_17,refute_0_25]) ).
cnf(refute_0_27,plain,
( ~ wednesday(X)
| lion_lies(X) ),
inference(canonicalize,[],[normalize_0_17]) ).
cnf(refute_0_28,plain,
( ~ wednesday(yesterday(a_thursday))
| lion_lies(yesterday(a_thursday)) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(yesterday(a_thursday)))]]) ).
cnf(refute_0_29,plain,
lion_lies(yesterday(a_thursday)),
inference(resolve,[$cnf( wednesday(yesterday(a_thursday)) )],[refute_0_7,refute_0_28]) ).
cnf(refute_0_30,plain,
( ~ day(X)
| ~ day(Y)
| ~ lion_lies(Y)
| lies_on_one_of(a_lion,X,Y)
| lion_lies(X) ),
inference(canonicalize,[],[normalize_0_20]) ).
cnf(refute_0_31,plain,
( ~ day(X_35)
| ~ day(yesterday(a_thursday))
| ~ lion_lies(yesterday(a_thursday))
| lies_on_one_of(a_lion,X_35,yesterday(a_thursday))
| lion_lies(X_35) ),
inference(subst,[],[refute_0_30:[bind(X,$fot(X_35)),bind(Y,$fot(yesterday(a_thursday)))]]) ).
cnf(refute_0_32,plain,
( ~ day(X_35)
| ~ day(yesterday(a_thursday))
| lies_on_one_of(a_lion,X_35,yesterday(a_thursday))
| lion_lies(X_35) ),
inference(resolve,[$cnf( lion_lies(yesterday(a_thursday)) )],[refute_0_29,refute_0_31]) ).
cnf(refute_0_33,plain,
( ~ day(X_35)
| lies_on_one_of(a_lion,X_35,yesterday(a_thursday))
| lion_lies(X_35) ),
inference(resolve,[$cnf( day(yesterday(a_thursday)) )],[refute_0_8,refute_0_32]) ).
cnf(refute_0_34,plain,
( ~ day(a_thursday)
| lies_on_one_of(a_lion,a_thursday,yesterday(a_thursday))
| lion_lies(a_thursday) ),
inference(subst,[],[refute_0_33:[bind(X_35,$fot(a_thursday))]]) ).
cnf(refute_0_35,plain,
( lies_on_one_of(a_lion,a_thursday,yesterday(a_thursday))
| lion_lies(a_thursday) ),
inference(resolve,[$cnf( day(a_thursday) )],[refute_0_17,refute_0_34]) ).
cnf(refute_0_36,plain,
( ~ lion_lies(X)
| ~ thursday(X) ),
inference(canonicalize,[],[normalize_0_22]) ).
cnf(refute_0_37,plain,
( ~ lion_lies(a_thursday)
| ~ thursday(a_thursday) ),
inference(subst,[],[refute_0_36:[bind(X,$fot(a_thursday))]]) ).
cnf(refute_0_38,plain,
~ lion_lies(a_thursday),
inference(resolve,[$cnf( thursday(a_thursday) )],[refute_0_4,refute_0_37]) ).
cnf(refute_0_39,plain,
lies_on_one_of(a_lion,a_thursday,yesterday(a_thursday)),
inference(resolve,[$cnf( lion_lies(a_thursday) )],[refute_0_35,refute_0_38]) ).
cnf(refute_0_40,plain,
$false,
inference(resolve,[$cnf( lies_on_one_of(a_lion,a_thursday,yesterday(a_thursday)) )],[refute_0_39,refute_0_26]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : PUZ005+1 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.34 % Computer : n020.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 May 28 22:04:54 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 2.11/2.33 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.11/2.33
% 2.11/2.33 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.11/2.33
%------------------------------------------------------------------------------