%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : PUZ130_1 : TPTP v9.0.0. Released v5.5.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n008.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 : 300s
% DateTime : Sat Jun 21 05:23:28 AM UTC 2025
% Result : Theorem 0.18s 0.35s
% Output : Proof 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 14
% Syntax : Number of formulae : 33 ( 15 unt; 0 typ; 0 def)
% Number of atoms : 75 ( 10 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 71 ( 31 ~; 24 |; 0 &)
% ( 13 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of FOOLs : 2 ( 2 fml; 0 var)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 10 ( 8 usr; 5 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-1 aty)
% Number of variables : 34 ( 30 !; 0 ?; 34 :)
% Comments :
%------------------------------------------------------------------------------
tff(hates_type,type,
hates: ( human * human ) > $o ).
tff(owner_of_type,type,
owner_of: animal > human ).
tff(dog_to_animal_type,type,
dog_to_animal: dog > animal ).
tff(odie_type,type,
odie: dog ).
tff(cat_to_animal_type,type,
cat_to_animal: cat > animal ).
tff(garfield_type,type,
garfield: cat ).
tff(jon_type,type,
jon: human ).
tff(chased_type,type,
chased: ( dog * cat ) > $o ).
tff(1,plain,
( ( jon = owner_of(dog_to_animal(odie)) )
<=> ( jon = owner_of(dog_to_animal(odie)) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(2,axiom,
jon = owner_of(dog_to_animal(odie)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',jon_owns_odie) ).
tff(3,plain,
jon = owner_of(dog_to_animal(odie)),
inference(modus_ponens,[status(thm)],[2,1]) ).
tff(4,plain,
owner_of(dog_to_animal(odie)) = jon,
inference(symmetry,[status(thm)],[3]) ).
tff(5,plain,
( ( jon = owner_of(cat_to_animal(garfield)) )
<=> ( jon = owner_of(cat_to_animal(garfield)) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(6,axiom,
jon = owner_of(cat_to_animal(garfield)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',jon_owns_garfield) ).
tff(7,plain,
jon = owner_of(cat_to_animal(garfield)),
inference(modus_ponens,[status(thm)],[6,5]) ).
tff(8,plain,
owner_of(cat_to_animal(garfield)) = jon,
inference(symmetry,[status(thm)],[7]) ).
tff(9,plain,
( hates(owner_of(cat_to_animal(garfield)),owner_of(dog_to_animal(odie)))
<=> hates(jon,jon) ),
inference(monotonicity,[status(thm)],[8,4]) ).
tff(10,plain,
( hates(jon,jon)
<=> hates(owner_of(cat_to_animal(garfield)),owner_of(dog_to_animal(odie))) ),
inference(symmetry,[status(thm)],[9]) ).
tff(11,plain,
( ~ hates(jon,jon)
<=> ~ hates(owner_of(cat_to_animal(garfield)),owner_of(dog_to_animal(odie))) ),
inference(monotonicity,[status(thm)],[10]) ).
tff(12,plain,
( ~ hates(jon,jon)
<=> ~ hates(jon,jon) ),
inference(rewrite,[status(thm)],[]) ).
tff(13,axiom,
~ hates(jon,jon),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',jon_hates_jon) ).
tff(14,plain,
~ hates(jon,jon),
inference(modus_ponens,[status(thm)],[13,12]) ).
tff(15,plain,
~ hates(owner_of(cat_to_animal(garfield)),owner_of(dog_to_animal(odie))),
inference(modus_ponens,[status(thm)],[14,11]) ).
tff(16,plain,
( chased(odie,garfield)
<=> chased(odie,garfield) ),
inference(rewrite,[status(thm)],[]) ).
tff(17,axiom,
chased(odie,garfield),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',odie_chased_garfield) ).
tff(18,plain,
chased(odie,garfield),
inference(modus_ponens,[status(thm)],[17,16]) ).
tff(19,plain,
^ [C: cat,D: dog] :
refl(( ( ~ chased(D,C)
| hates(owner_of(cat_to_animal(C)),owner_of(dog_to_animal(D))) )
<=> ( ~ chased(D,C)
| hates(owner_of(cat_to_animal(C)),owner_of(dog_to_animal(D))) ) )),
inference(bind,[status(th)],[]) ).
tff(20,plain,
( ! [C: cat,D: dog] :
( ~ chased(D,C)
| hates(owner_of(cat_to_animal(C)),owner_of(dog_to_animal(D))) )
<=> ! [C: cat,D: dog] :
( ~ chased(D,C)
| hates(owner_of(cat_to_animal(C)),owner_of(dog_to_animal(D))) ) ),
inference(quant_intro,[status(thm)],[19]) ).
tff(21,plain,
( ! [C: cat,D: dog] :
( ~ chased(D,C)
| hates(owner_of(cat_to_animal(C)),owner_of(dog_to_animal(D))) )
<=> ! [C: cat,D: dog] :
( ~ chased(D,C)
| hates(owner_of(cat_to_animal(C)),owner_of(dog_to_animal(D))) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(22,plain,
^ [C: cat,D: dog] :
rewrite(( ( chased(D,C)
=> hates(owner_of(cat_to_animal(C)),owner_of(dog_to_animal(D))) )
<=> ( ~ chased(D,C)
| hates(owner_of(cat_to_animal(C)),owner_of(dog_to_animal(D))) ) )),
inference(bind,[status(th)],[]) ).
tff(23,plain,
( ! [C: cat,D: dog] :
( chased(D,C)
=> hates(owner_of(cat_to_animal(C)),owner_of(dog_to_animal(D))) )
<=> ! [C: cat,D: dog] :
( ~ chased(D,C)
| hates(owner_of(cat_to_animal(C)),owner_of(dog_to_animal(D))) ) ),
inference(quant_intro,[status(thm)],[22]) ).
tff(24,axiom,
! [C: cat,D: dog] :
( chased(D,C)
=> hates(owner_of(cat_to_animal(C)),owner_of(dog_to_animal(D))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dog_chase_cat) ).
tff(25,plain,
! [C: cat,D: dog] :
( ~ chased(D,C)
| hates(owner_of(cat_to_animal(C)),owner_of(dog_to_animal(D))) ),
inference(modus_ponens,[status(thm)],[24,23]) ).
tff(26,plain,
! [C: cat,D: dog] :
( ~ chased(D,C)
| hates(owner_of(cat_to_animal(C)),owner_of(dog_to_animal(D))) ),
inference(modus_ponens,[status(thm)],[25,21]) ).
tff(27,plain,
! [C: cat,D: dog] :
( ~ chased(D,C)
| hates(owner_of(cat_to_animal(C)),owner_of(dog_to_animal(D))) ),
inference(skolemize,[status(sab)],[26]) ).
tff(28,plain,
! [C: cat,D: dog] :
( ~ chased(D,C)
| hates(owner_of(cat_to_animal(C)),owner_of(dog_to_animal(D))) ),
inference(modus_ponens,[status(thm)],[27,20]) ).
tff(29,plain,
( ( ~ ! [C: cat,D: dog] :
( ~ chased(D,C)
| hates(owner_of(cat_to_animal(C)),owner_of(dog_to_animal(D))) )
| ~ chased(odie,garfield)
| hates(owner_of(cat_to_animal(garfield)),owner_of(dog_to_animal(odie))) )
<=> ( ~ ! [C: cat,D: dog] :
( ~ chased(D,C)
| hates(owner_of(cat_to_animal(C)),owner_of(dog_to_animal(D))) )
| ~ chased(odie,garfield)
| hates(owner_of(cat_to_animal(garfield)),owner_of(dog_to_animal(odie))) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(30,plain,
( ~ ! [C: cat,D: dog] :
( ~ chased(D,C)
| hates(owner_of(cat_to_animal(C)),owner_of(dog_to_animal(D))) )
| ~ chased(odie,garfield)
| hates(owner_of(cat_to_animal(garfield)),owner_of(dog_to_animal(odie))) ),
inference(quant_inst,[status(thm)],[]) ).
tff(31,plain,
( ~ ! [C: cat,D: dog] :
( ~ chased(D,C)
| hates(owner_of(cat_to_animal(C)),owner_of(dog_to_animal(D))) )
| ~ chased(odie,garfield)
| hates(owner_of(cat_to_animal(garfield)),owner_of(dog_to_animal(odie))) ),
inference(modus_ponens,[status(thm)],[30,29]) ).
tff(32,plain,
hates(owner_of(cat_to_animal(garfield)),owner_of(dog_to_animal(odie))),
inference(unit_resolution,[status(thm)],[31,28,18]) ).
tff(33,plain,
$false,
inference(unit_resolution,[status(thm)],[32,15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : PUZ130_1 : TPTP v9.0.0. Released v5.5.0.
% 0.11/0.12 % Command : run_E %s %d THM
% 0.12/0.31 % Computer : n008.cluster.edu
% 0.12/0.31 % Model : x86_64 x86_64
% 0.12/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.31 % Memory : 8042.1875MB
% 0.12/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.31 % CPULimit : 300
% 0.12/0.31 % WCLimit : 300
% 0.12/0.31 % DateTime : Fri Jun 20 02:47:33 EDT 2025
% 0.16/0.31 % CPUTime :
% 0.18/0.35 % SZS status Theorem
% 0.18/0.35 % SZS output start Proof
% See solution above
% 0.18/0.35 % E exiting
%------------------------------------------------------------------------------