TSTP Solution File: PUZ130_1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : PUZ130_1 : TPTP v8.1.0. Released v5.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %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 : 300s
% DateTime : Wed Aug 31 18:11:23 EDT 2022
% Result : Theorem 0.19s 0.47s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 20
% Syntax : Number of formulae : 39 ( 19 unt; 13 typ; 0 def)
% Number of atoms : 33 ( 11 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 14 ( 7 ~; 4 |; 0 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of types : 5 ( 4 usr)
% Number of type conns : 8 ( 6 >; 2 *; 0 +; 0 <<)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-1 aty)
% Number of variables : 18 ( 16 !; 2 ?; 18 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
animal: $tType ).
tff(type_def_6,type,
cat: $tType ).
tff(type_def_7,type,
dog: $tType ).
tff(type_def_8,type,
human: $tType ).
tff(func_def_0,type,
cat_to_animal: cat > animal ).
tff(func_def_1,type,
dog_to_animal: dog > animal ).
tff(func_def_2,type,
garfield: cat ).
tff(func_def_3,type,
odie: dog ).
tff(func_def_4,type,
jon: human ).
tff(func_def_5,type,
owner_of: animal > human ).
tff(func_def_6,type,
sK0: animal > human ).
tff(pred_def_1,type,
chased: ( dog * cat ) > $o ).
tff(pred_def_2,type,
hates: ( human * human ) > $o ).
tff(f33,plain,
$false,
inference(subsumption_resolution,[],[f32,f17]) ).
tff(f17,plain,
~ hates(jon,jon),
inference(cnf_transformation,[],[f9]) ).
tff(f9,plain,
~ hates(jon,jon),
inference(flattening,[],[f8]) ).
tff(f8,negated_conjecture,
~ hates(jon,jon),
inference(negated_conjecture,[],[f7]) ).
tff(f7,conjecture,
hates(jon,jon),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',jon_hates_jon) ).
tff(f32,plain,
hates(jon,jon),
inference(forward_demodulation,[],[f31,f24]) ).
tff(f24,plain,
jon = sK0(cat_to_animal(garfield)),
inference(definition_unfolding,[],[f18,f21]) ).
tff(f21,plain,
! [X0: animal] : ( owner_of(X0) = sK0(X0) ),
inference(cnf_transformation,[],[f15]) ).
tff(f15,plain,
! [X0: animal] : ( owner_of(X0) = sK0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f1,f14]) ).
tff(f14,plain,
! [X0: animal] :
( ? [X1: human] : ( owner_of(X0) = X1 )
=> ( owner_of(X0) = sK0(X0) ) ),
introduced(choice_axiom,[]) ).
tff(f1,axiom,
! [X0: animal] :
? [X1: human] : ( owner_of(X0) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',human_owner) ).
tff(f18,plain,
jon = owner_of(cat_to_animal(garfield)),
inference(cnf_transformation,[],[f2]) ).
tff(f2,axiom,
jon = owner_of(cat_to_animal(garfield)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',jon_owns_garfield) ).
tff(f31,plain,
hates(sK0(cat_to_animal(garfield)),jon),
inference(forward_demodulation,[],[f28,f26]) ).
tff(f26,plain,
jon = sK0(dog_to_animal(odie)),
inference(definition_unfolding,[],[f20,f21]) ).
tff(f20,plain,
jon = owner_of(dog_to_animal(odie)),
inference(cnf_transformation,[],[f3]) ).
tff(f3,axiom,
jon = owner_of(dog_to_animal(odie)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',jon_owns_odie) ).
tff(f28,plain,
hates(sK0(cat_to_animal(garfield)),sK0(dog_to_animal(odie))),
inference(unit_resulting_resolution,[],[f23,f27]) ).
tff(f27,plain,
! [X0: dog,X1: cat] :
( hates(sK0(cat_to_animal(X1)),sK0(dog_to_animal(X0)))
| ~ chased(X0,X1) ),
inference(definition_unfolding,[],[f22,f21,f21]) ).
tff(f22,plain,
! [X0: dog,X1: cat] :
( ~ chased(X0,X1)
| hates(owner_of(cat_to_animal(X1)),owner_of(dog_to_animal(X0))) ),
inference(cnf_transformation,[],[f16]) ).
tff(f16,plain,
! [X0: dog,X1: cat] :
( ~ chased(X0,X1)
| hates(owner_of(cat_to_animal(X1)),owner_of(dog_to_animal(X0))) ),
inference(rectify,[],[f13]) ).
tff(f13,plain,
! [X1: dog,X0: cat] :
( ~ chased(X1,X0)
| hates(owner_of(cat_to_animal(X0)),owner_of(dog_to_animal(X1))) ),
inference(ennf_transformation,[],[f10]) ).
tff(f10,plain,
! [X0: cat,X1: dog] :
( chased(X1,X0)
=> hates(owner_of(cat_to_animal(X0)),owner_of(dog_to_animal(X1))) ),
inference(rectify,[],[f5]) ).
tff(f5,axiom,
! [X2: cat,X3: dog] :
( chased(X3,X2)
=> hates(owner_of(cat_to_animal(X2)),owner_of(dog_to_animal(X3))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dog_chase_cat) ).
tff(f23,plain,
chased(odie,garfield),
inference(cnf_transformation,[],[f6]) ).
tff(f6,axiom,
chased(odie,garfield),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',odie_chased_garfield) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : PUZ130_1 : TPTP v8.1.0. Released v5.5.0.
% 0.06/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.33 % Computer : n026.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue Aug 30 11:28:21 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.46 % (26161)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.19/0.46 % (26169)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.46 % (26169)First to succeed.
% 0.19/0.47 % (26169)Refutation found. Thanks to Tanya!
% 0.19/0.47 % SZS status Theorem for theBenchmark
% 0.19/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.47 % (26169)------------------------------
% 0.19/0.47 % (26169)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.47 % (26169)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.47 % (26169)Termination reason: Refutation
% 0.19/0.47
% 0.19/0.47 % (26169)Memory used [KB]: 5884
% 0.19/0.47 % (26169)Time elapsed: 0.093 s
% 0.19/0.47 % (26169)Instructions burned: 1 (million)
% 0.19/0.47 % (26169)------------------------------
% 0.19/0.47 % (26169)------------------------------
% 0.19/0.47 % (26155)Success in time 0.126 s
%------------------------------------------------------------------------------