%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : PUZ130_1 : TPTP v9.3.1. Released v5.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 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 12:31:40 PM UTC 2026
% Result : Theorem 2.54s 1.32s
% Output : Refutation 2.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 17 ( 14 unt; 0 typ; 0 def)
% Number of atoms : 20 ( 4 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 8 ( 5 ~; 2 |; 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 : 6 ( 6 !; 0 ?; 6 :)
% 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(f2,axiom,
jon = owner_of(cat_to_animal(garfield)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',jon_owns_garfield) ).
tff(f3,axiom,
jon = owner_of(dog_to_animal(odie)),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',dog_chase_cat) ).
tff(f6,axiom,
chased(odie,garfield),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',odie_chased_garfield) ).
tff(f7,conjecture,
hates(jon,jon),
file('/export/starexec/sandbox2/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(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] :
( ~ chased(X1,X0)
| hates(owner_of(cat_to_animal(X0)),owner_of(dog_to_animal(X1))) ),
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,
hates(owner_of(cat_to_animal(garfield)),owner_of(dog_to_animal(odie))),
inference(resolution,[],[f18,f19]) ).
tff(f22,plain,
hates(owner_of(cat_to_animal(garfield)),jon),
inference(forward_demodulation,[],[f21,f16]) ).
tff(f23,plain,
hates(jon,jon),
inference(forward_demodulation,[],[f22,f15]) ).
tff(f24,plain,
$false,
inference(forward_subsumption_resolution,[],[f23,f20]) ).
%------------------------------------------------------------------------------
%----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/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n005.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 22:44:32 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.54/1.32 % (254625)Detected formulas, will run a generic FOF schedule.
% 2.54/1.32 % (254648)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1010926209:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.54/1.32 % (254648)First to succeed.
% 2.54/1.32 % (254648)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-254625"
% 2.54/1.32 % (254644)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=2059809552:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.54/1.32 % (254643)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=3173185687:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.54/1.32 % (254645)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=2388199828:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.54/1.32 % (254647)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2724615277:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.54/1.32 % (254647)Also succeeded, but the first one will report.
% 2.54/1.32 % (254646)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2700324138:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.54/1.32 % (254646)Refutation not found, incomplete strategy
% 2.54/1.32 % (254646)------------------------------
% 2.54/1.32 % (254646)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.54/1.32 % (254646)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.54/1.32 % (254646)CaDiCaL version: 2.1.3
% 2.54/1.32 % (254646)Termination reason: Refutation not found, incomplete strategy
% 2.54/1.32 % (254646)Time elapsed: 0.001 s
% 2.54/1.32 % (254646)Peak memory usage: 87 MB
% 2.54/1.32 % (254649)dis-21_1_sil=8000:lcm=predicate:random_seed=2869321054:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 2.54/1.32 % (254649)Refutation not found, incomplete strategy
% 2.54/1.32 % (254649)------------------------------
% 2.54/1.32 % (254649)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.54/1.32 % (254649)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.54/1.32 % (254649)CaDiCaL version: 2.1.3
% 2.54/1.32 % (254649)Termination reason: Refutation not found, incomplete strategy
% 2.54/1.32 % (254649)Time elapsed: 0.001 s
% 2.54/1.32 % (254649)Peak memory usage: 88 MB
% 2.54/1.32 % (254648)Refutation found. Thanks to Tanya!
% 2.54/1.32 % SZS status Theorem for theBenchmark
% 2.54/1.32 % SZS output start Proof for theBenchmark
% See solution above
% 2.54/1.32 % (254648)------------------------------
% 2.54/1.32 % (254648)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.54/1.32 % (254648)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.54/1.32 % (254648)CaDiCaL version: 2.1.3
% 2.54/1.32 % (254648)Termination reason: Refutation
% 2.54/1.32 % (254648)Time elapsed: 0.001 s
% 2.54/1.32 % (254648)Peak memory usage: 89 MB
% 2.54/1.32 % (254648)Instructions burned: 1 (million)
% 2.54/1.32 % (254648)------------------------------
% 2.54/1.32 % (254648)------------------------------
% 2.54/1.32 % (254625)Success in time 0.269 s
% 2.54/1.32 % Vampire exiting
%------------------------------------------------------------------------------