TSTP Solution File: PUZ130+1 by Metis---2.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : PUZ130+1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n032.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 18:21:01 EDT 2022
% Result : Theorem 0.09s 0.28s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 15
% Syntax : Number of formulae : 71 ( 32 unt; 0 def)
% Number of atoms : 147 ( 29 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 148 ( 72 ~; 65 |; 3 &)
% ( 3 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 33 ( 0 sgn 22 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(garfield_type,axiom,
cat(garfield) ).
fof(odie_type,axiom,
dog(odie) ).
fof(dog_pet_type,axiom,
! [A] :
( dog(A)
=> pet(A) ) ).
fof(cat_pet_type,axiom,
! [A] :
( cat(A)
=> pet(A) ) ).
fof(jon_type,axiom,
human(jon) ).
fof(jon_o_owner_axiom,axiom,
owner(jon,odie) ).
fof(jon_g_owner_axiom,axiom,
owner(jon,garfield) ).
fof(cat_chase_axiom,axiom,
! [X,Y] :
( ( cat(X)
& dog(Y) )
=> ( chased(Y,X)
=> hates(owner_of(X),owner_of(Y)) ) ) ).
fof(owner_def,axiom,
! [X,Y] :
( ( human(X)
& pet(Y) )
=> ( owner(X,Y)
<=> X = owner_of(Y) ) ) ).
fof(odie_chase_axiom,axiom,
chased(odie,garfield) ).
fof(jon_conjecture,conjecture,
hates(jon,jon) ).
fof(subgoal_0,plain,
hates(jon,jon),
inference(strip,[],[jon_conjecture]) ).
fof(negate_0_0,plain,
~ hates(jon,jon),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
chased(odie,garfield),
inference(canonicalize,[],[odie_chase_axiom]) ).
fof(normalize_0_1,plain,
! [X,Y] :
( ~ cat(X)
| ~ chased(Y,X)
| ~ dog(Y)
| hates(owner_of(X),owner_of(Y)) ),
inference(canonicalize,[],[cat_chase_axiom]) ).
fof(normalize_0_2,plain,
! [X,Y] :
( ~ cat(X)
| ~ chased(Y,X)
| ~ dog(Y)
| hates(owner_of(X),owner_of(Y)) ),
inference(specialize,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
owner(jon,garfield),
inference(canonicalize,[],[jon_g_owner_axiom]) ).
fof(normalize_0_4,plain,
! [X,Y] :
( ~ human(X)
| ~ pet(Y)
| ( X != owner_of(Y)
<=> ~ owner(X,Y) ) ),
inference(canonicalize,[],[owner_def]) ).
fof(normalize_0_5,plain,
! [X,Y] :
( ~ human(X)
| ~ pet(Y)
| ( X != owner_of(Y)
<=> ~ owner(X,Y) ) ),
inference(specialize,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
! [X,Y] :
( ( X != owner_of(Y)
| ~ human(X)
| ~ pet(Y)
| owner(X,Y) )
& ( ~ human(X)
| ~ owner(X,Y)
| ~ pet(Y)
| X = owner_of(Y) ) ),
inference(clausify,[],[normalize_0_5]) ).
fof(normalize_0_7,plain,
! [X,Y] :
( ~ human(X)
| ~ owner(X,Y)
| ~ pet(Y)
| X = owner_of(Y) ),
inference(conjunct,[],[normalize_0_6]) ).
fof(normalize_0_8,plain,
human(jon),
inference(canonicalize,[],[jon_type]) ).
fof(normalize_0_9,plain,
cat(garfield),
inference(canonicalize,[],[garfield_type]) ).
fof(normalize_0_10,plain,
! [A] :
( ~ cat(A)
| pet(A) ),
inference(canonicalize,[],[cat_pet_type]) ).
fof(normalize_0_11,plain,
! [A] :
( ~ cat(A)
| pet(A) ),
inference(specialize,[],[normalize_0_10]) ).
fof(normalize_0_12,plain,
owner(jon,odie),
inference(canonicalize,[],[jon_o_owner_axiom]) ).
fof(normalize_0_13,plain,
dog(odie),
inference(canonicalize,[],[odie_type]) ).
fof(normalize_0_14,plain,
! [A] :
( ~ dog(A)
| pet(A) ),
inference(canonicalize,[],[dog_pet_type]) ).
fof(normalize_0_15,plain,
! [A] :
( ~ dog(A)
| pet(A) ),
inference(specialize,[],[normalize_0_14]) ).
fof(normalize_0_16,plain,
~ hates(jon,jon),
inference(canonicalize,[],[negate_0_0]) ).
cnf(refute_0_0,plain,
chased(odie,garfield),
inference(canonicalize,[],[normalize_0_0]) ).
cnf(refute_0_1,plain,
( ~ cat(X)
| ~ chased(Y,X)
| ~ dog(Y)
| hates(owner_of(X),owner_of(Y)) ),
inference(canonicalize,[],[normalize_0_2]) ).
cnf(refute_0_2,plain,
( ~ cat(garfield)
| ~ chased(odie,garfield)
| ~ dog(odie)
| hates(owner_of(garfield),owner_of(odie)) ),
inference(subst,[],[refute_0_1:[bind(X,$fot(garfield)),bind(Y,$fot(odie))]]) ).
cnf(refute_0_3,plain,
( ~ cat(garfield)
| ~ dog(odie)
| hates(owner_of(garfield),owner_of(odie)) ),
inference(resolve,[$cnf( chased(odie,garfield) )],[refute_0_0,refute_0_2]) ).
cnf(refute_0_4,plain,
owner(jon,garfield),
inference(canonicalize,[],[normalize_0_3]) ).
cnf(refute_0_5,plain,
( ~ human(X)
| ~ owner(X,Y)
| ~ pet(Y)
| X = owner_of(Y) ),
inference(canonicalize,[],[normalize_0_7]) ).
cnf(refute_0_6,plain,
( ~ human(jon)
| ~ owner(jon,garfield)
| ~ pet(garfield)
| jon = owner_of(garfield) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(jon)),bind(Y,$fot(garfield))]]) ).
cnf(refute_0_7,plain,
( ~ human(jon)
| ~ pet(garfield)
| jon = owner_of(garfield) ),
inference(resolve,[$cnf( owner(jon,garfield) )],[refute_0_4,refute_0_6]) ).
cnf(refute_0_8,plain,
human(jon),
inference(canonicalize,[],[normalize_0_8]) ).
cnf(refute_0_9,plain,
( ~ pet(garfield)
| jon = owner_of(garfield) ),
inference(resolve,[$cnf( human(jon) )],[refute_0_8,refute_0_7]) ).
cnf(refute_0_10,plain,
cat(garfield),
inference(canonicalize,[],[normalize_0_9]) ).
cnf(refute_0_11,plain,
( ~ cat(A)
| pet(A) ),
inference(canonicalize,[],[normalize_0_11]) ).
cnf(refute_0_12,plain,
( ~ cat(garfield)
| pet(garfield) ),
inference(subst,[],[refute_0_11:[bind(A,$fot(garfield))]]) ).
cnf(refute_0_13,plain,
pet(garfield),
inference(resolve,[$cnf( cat(garfield) )],[refute_0_10,refute_0_12]) ).
cnf(refute_0_14,plain,
jon = owner_of(garfield),
inference(resolve,[$cnf( pet(garfield) )],[refute_0_13,refute_0_9]) ).
cnf(refute_0_15,plain,
X0 = X0,
introduced(tautology,[refl,[$fot(X0)]]) ).
cnf(refute_0_16,plain,
( X0 != X0
| X0 != Y0
| Y0 = X0 ),
introduced(tautology,[equality,[$cnf( $equal(X0,X0) ),[0],$fot(Y0)]]) ).
cnf(refute_0_17,plain,
( X0 != Y0
| Y0 = X0 ),
inference(resolve,[$cnf( $equal(X0,X0) )],[refute_0_15,refute_0_16]) ).
cnf(refute_0_18,plain,
( jon != owner_of(garfield)
| owner_of(garfield) = jon ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(jon)),bind(Y0,$fot(owner_of(garfield)))]]) ).
cnf(refute_0_19,plain,
owner_of(garfield) = jon,
inference(resolve,[$cnf( $equal(jon,owner_of(garfield)) )],[refute_0_14,refute_0_18]) ).
cnf(refute_0_20,plain,
( owner_of(garfield) != jon
| ~ hates(owner_of(garfield),owner_of(odie))
| hates(jon,owner_of(odie)) ),
introduced(tautology,[equality,[$cnf( hates(owner_of(garfield),owner_of(odie)) ),[0],$fot(jon)]]) ).
cnf(refute_0_21,plain,
( ~ hates(owner_of(garfield),owner_of(odie))
| hates(jon,owner_of(odie)) ),
inference(resolve,[$cnf( $equal(owner_of(garfield),jon) )],[refute_0_19,refute_0_20]) ).
cnf(refute_0_22,plain,
owner(jon,odie),
inference(canonicalize,[],[normalize_0_12]) ).
cnf(refute_0_23,plain,
( ~ human(jon)
| ~ owner(jon,odie)
| ~ pet(odie)
| jon = owner_of(odie) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(jon)),bind(Y,$fot(odie))]]) ).
cnf(refute_0_24,plain,
( ~ human(jon)
| ~ pet(odie)
| jon = owner_of(odie) ),
inference(resolve,[$cnf( owner(jon,odie) )],[refute_0_22,refute_0_23]) ).
cnf(refute_0_25,plain,
( ~ pet(odie)
| jon = owner_of(odie) ),
inference(resolve,[$cnf( human(jon) )],[refute_0_8,refute_0_24]) ).
cnf(refute_0_26,plain,
dog(odie),
inference(canonicalize,[],[normalize_0_13]) ).
cnf(refute_0_27,plain,
( ~ dog(A)
| pet(A) ),
inference(canonicalize,[],[normalize_0_15]) ).
cnf(refute_0_28,plain,
( ~ dog(odie)
| pet(odie) ),
inference(subst,[],[refute_0_27:[bind(A,$fot(odie))]]) ).
cnf(refute_0_29,plain,
pet(odie),
inference(resolve,[$cnf( dog(odie) )],[refute_0_26,refute_0_28]) ).
cnf(refute_0_30,plain,
jon = owner_of(odie),
inference(resolve,[$cnf( pet(odie) )],[refute_0_29,refute_0_25]) ).
cnf(refute_0_31,plain,
( jon != owner_of(odie)
| owner_of(odie) = jon ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(jon)),bind(Y0,$fot(owner_of(odie)))]]) ).
cnf(refute_0_32,plain,
owner_of(odie) = jon,
inference(resolve,[$cnf( $equal(jon,owner_of(odie)) )],[refute_0_30,refute_0_31]) ).
cnf(refute_0_33,plain,
( owner_of(odie) != jon
| ~ hates(jon,owner_of(odie))
| hates(jon,jon) ),
introduced(tautology,[equality,[$cnf( hates(jon,owner_of(odie)) ),[1],$fot(jon)]]) ).
cnf(refute_0_34,plain,
( ~ hates(jon,owner_of(odie))
| hates(jon,jon) ),
inference(resolve,[$cnf( $equal(owner_of(odie),jon) )],[refute_0_32,refute_0_33]) ).
cnf(refute_0_35,plain,
( ~ hates(owner_of(garfield),owner_of(odie))
| hates(jon,jon) ),
inference(resolve,[$cnf( hates(jon,owner_of(odie)) )],[refute_0_21,refute_0_34]) ).
cnf(refute_0_36,plain,
( ~ cat(garfield)
| ~ dog(odie)
| hates(jon,jon) ),
inference(resolve,[$cnf( hates(owner_of(garfield),owner_of(odie)) )],[refute_0_3,refute_0_35]) ).
cnf(refute_0_37,plain,
( ~ dog(odie)
| hates(jon,jon) ),
inference(resolve,[$cnf( cat(garfield) )],[refute_0_10,refute_0_36]) ).
cnf(refute_0_38,plain,
hates(jon,jon),
inference(resolve,[$cnf( dog(odie) )],[refute_0_26,refute_0_37]) ).
cnf(refute_0_39,plain,
~ hates(jon,jon),
inference(canonicalize,[],[normalize_0_16]) ).
cnf(refute_0_40,plain,
$false,
inference(resolve,[$cnf( hates(jon,jon) )],[refute_0_38,refute_0_39]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.08 % Problem : PUZ130+1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.08 % Command : metis --show proof --show saturation %s
% 0.09/0.27 % Computer : n032.cluster.edu
% 0.09/0.27 % Model : x86_64 x86_64
% 0.09/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.27 % Memory : 8042.1875MB
% 0.09/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.27 % CPULimit : 300
% 0.09/0.27 % WCLimit : 600
% 0.09/0.27 % DateTime : Sat May 28 22:51:56 EDT 2022
% 0.09/0.27 % CPUTime :
% 0.09/0.27 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.09/0.28 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.28
% 0.09/0.28 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.09/0.28
%------------------------------------------------------------------------------