%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : PUZ130_1 : TPTP v9.3.1. Released v5.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:32:32 PM UTC 2026
% Result : Theorem 0.18s 0.47s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 23 ( 17 unt; 0 typ; 0 def)
% Number of atoms : 29 ( 9 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 15 ( 9 ~; 5 |; 0 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of types : 5 ( 4 usr)
% Number of type conns : 0 ( 0 >; 0 *; 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 : 13 ( 12 !; 1 ?; 13 :)
% 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(f1,axiom,
! [X0: animal] :
? [X1: human] : ( X1 = owner_of(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',human_owner) ).
tff(f2,axiom,
jon = owner_of(cat_to_animal(garfield)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',jon_owns_garfield) ).
tff(f3,axiom,
jon = owner_of(dog_to_animal(odie)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',jon_owns_odie) ).
tff(f5,axiom,
! [X0: cat,X1: dog] :
( chased(X1,X0)
=> hates(owner_of(cat_to_animal(X0)),owner_of(dog_to_animal(X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dog_chase_cat) ).
tff(f6,axiom,
chased(odie,garfield),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',odie_chased_garfield) ).
tff(f7,conjecture,
hates(jon,jon),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',jon_hates_jon) ).
tff(f8,negated_conjecture,
~ hates(jon,jon),
inference(negated_conjecture,[status(cth)],[f7]) ).
tff(f9,plain,
~ hates(jon,jon),
inference(flattening,[],[f8]) ).
tff(f12,plain,
! [X0: cat,X1: dog] :
( hates(owner_of(cat_to_animal(X0)),owner_of(dog_to_animal(X1)))
| ~ chased(X1,X0) ),
inference(ennf_transformation,[],[f5]) ).
tff(f13,plain,
! [X0: animal] : ( owner_of(X0) = sK0(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X1,sK0(X0))],[f1]) ).
tff(f14,plain,
! [X0: animal] : ( owner_of(X0) = sK0(X0) ),
inference(cnf_transformation,[],[f13]) ).
tff(f15,plain,
jon = owner_of(cat_to_animal(garfield)),
inference(cnf_transformation,[],[f2]) ).
tff(f16,plain,
jon = owner_of(dog_to_animal(odie)),
inference(cnf_transformation,[],[f3]) ).
tff(f18,plain,
! [X0: cat,X1: dog] :
( hates(owner_of(cat_to_animal(X0)),owner_of(dog_to_animal(X1)))
| ~ chased(X1,X0) ),
inference(cnf_transformation,[],[f12]) ).
tff(f19,plain,
chased(odie,garfield),
inference(cnf_transformation,[],[f6]) ).
tff(f20,plain,
~ hates(jon,jon),
inference(cnf_transformation,[],[f9]) ).
tff(f21,plain,
jon = sK0(cat_to_animal(garfield)),
inference(definition_unfolding,[],[f15,f14]) ).
tff(f22,plain,
jon = sK0(dog_to_animal(odie)),
inference(definition_unfolding,[],[f16,f14]) ).
tff(f24,plain,
! [X0: cat,X1: dog] :
( hates(sK0(cat_to_animal(X0)),sK0(dog_to_animal(X1)))
| ~ chased(X1,X0) ),
inference(definition_unfolding,[],[f18,f14,f14]) ).
tff(f31,plain,
! [X0: dog] :
( hates(jon,sK0(dog_to_animal(X0)))
| ~ chased(X0,garfield) ),
inference(superposition,[],[f24,f21]) ).
tff(f46,plain,
( hates(jon,jon)
| ~ chased(odie,garfield) ),
inference(superposition,[],[f31,f22]) ).
tff(f47,plain,
~ chased(odie,garfield),
inference(forward_subsumption_resolution,[],[f46,f20]) ).
tff(f48,plain,
$false,
inference(forward_subsumption_resolution,[],[f47,f19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ130_1 : TPTP v9.3.1. Released v5.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.14/0.40 % Computer : n005.cluster.edu
% 0.14/0.40 % Model : x86_64 x86_64
% 0.14/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.40 % Memory : 8046.5625MB
% 0.14/0.40 % OS : Linux 6.8.0-71-generic
% 0.14/0.40 % CPULimit : 300
% 0.14/0.40 % WCLimit : 300
% 0.14/0.40 % DateTime : Sun Sep 27 22:44:31 UTC 2026
% 0.14/0.40 % CPUTime :
% 0.14/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.14/0.42 Running first-order model finding
% 0.14/0.42 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.47 % (254362)Will run a generic schedule for satisfiability detection.
% 0.18/0.47 % (254369)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2012711668:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.18/0.47 % (254369) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-254362-254369"...
% 0.18/0.47 % (254368)% WARNING: option uhcvi not known.
% 0.18/0.47 % (254369)...printing done.
% 0.18/0.47 % (254369)Refutation found. Thanks to Tanya!
% 0.18/0.47 % SZS status Theorem for theBenchmark
% 0.18/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.47 % (254369)------------------------------
% 0.18/0.47 % (254369)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.47 % (254369)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.47 % (254369)CaDiCaL version: 2.1.3
% 0.18/0.47 % (254369)Termination reason: Refutation
% 0.18/0.47 % (254369)Time elapsed: 0.001 s
% 0.18/0.47 % (254369)Peak memory usage: 11 MB
% 0.18/0.47 % (254369)Instructions burned: 1 (million)
% 0.18/0.47 % (254362)Success in time 0.036 s
% 0.18/0.47 % Vampire exiting
%------------------------------------------------------------------------------