%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : PUZ005+1 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n003.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 12:31:48 PM UTC 2026
% Result : Theorem 0.18s 0.47s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 11
% Syntax : Number of formulae : 51 ( 9 unt; 0 def)
% Number of atoms : 145 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 175 ( 81 ~; 75 |; 6 &)
% ( 0 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 48 ( 46 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
thursday(a_thursday),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thursday) ).
fof(f18,axiom,
! [X0] :
( thursday(X0)
=> wednesday(yesterday(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thursday_follows_wednesday) ).
fof(f24,axiom,
! [X0] :
( wednesday(X0)
=> lion_lies(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lion_lies_wednesday) ).
fof(f25,axiom,
! [X0] :
( thursday(X0)
=> ~ lion_lies(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lion_does_not_lie_thursday) ).
fof(f31,axiom,
! [X0] :
( wednesday(X0)
=> ~ unicorn_lies(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unicorn_does_not_lie_wednesday) ).
fof(f32,axiom,
! [X0] :
( thursday(X0)
=> unicorn_lies(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unicorn_lies_thursday) ).
fof(f36,axiom,
! [X0] :
( lion_lies(X0)
=> day(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lion_lies_on_a_day) ).
fof(f37,axiom,
! [X0] :
( unicorn_lies(X0)
=> day(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unicorn_lies_on_a_day) ).
fof(f40,axiom,
! [X0] :
( day(X0)
=> ! [X1] :
( day(X1)
=> ( ( ~ lion_lies(X0)
& ~ lies_on_one_of(a_lion,X0,X1) )
=> ~ lion_lies(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lion_lies_on_neither) ).
fof(f45,axiom,
! [X0] :
( day(X0)
=> ! [X1] :
( day(X1)
=> ( ( unicorn_lies(X0)
& ~ lies_on_one_of(a_unicorn,X0,X1) )
=> unicorn_lies(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unicorn_lies_on_both) ).
fof(f46,conjecture,
? [X0] :
( day(X0)
& lies_on_one_of(a_lion,X0,yesterday(X0))
& lies_on_one_of(a_unicorn,X0,yesterday(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_there_are_close_lying_days) ).
fof(f47,negated_conjecture,
~ ? [X0] :
( day(X0)
& lies_on_one_of(a_lion,X0,yesterday(X0))
& lies_on_one_of(a_unicorn,X0,yesterday(X0)) ),
inference(negated_conjecture,[status(cth)],[f46]) ).
fof(f58,plain,
! [X0] :
( wednesday(yesterday(X0))
| ~ thursday(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f64,plain,
! [X0] :
( lion_lies(X0)
| ~ wednesday(X0) ),
inference(ennf_transformation,[],[f24]) ).
fof(f65,plain,
! [X0] :
( ~ lion_lies(X0)
| ~ thursday(X0) ),
inference(ennf_transformation,[],[f25]) ).
fof(f71,plain,
! [X0] :
( ~ unicorn_lies(X0)
| ~ wednesday(X0) ),
inference(ennf_transformation,[],[f31]) ).
fof(f72,plain,
! [X0] :
( unicorn_lies(X0)
| ~ thursday(X0) ),
inference(ennf_transformation,[],[f32]) ).
fof(f76,plain,
! [X0] :
( day(X0)
| ~ lion_lies(X0) ),
inference(ennf_transformation,[],[f36]) ).
fof(f77,plain,
! [X0] :
( day(X0)
| ~ unicorn_lies(X0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f82,plain,
! [X0] :
( ! [X1] :
( ~ lion_lies(X1)
| lion_lies(X0)
| lies_on_one_of(a_lion,X0,X1)
| ~ day(X1) )
| ~ day(X0) ),
inference(ennf_transformation,[],[f40]) ).
fof(f83,plain,
! [X0] :
( ! [X1] :
( ~ lion_lies(X1)
| lion_lies(X0)
| lies_on_one_of(a_lion,X0,X1)
| ~ day(X1) )
| ~ day(X0) ),
inference(flattening,[],[f82]) ).
fof(f92,plain,
! [X0] :
( ! [X1] :
( unicorn_lies(X1)
| ~ unicorn_lies(X0)
| lies_on_one_of(a_unicorn,X0,X1)
| ~ day(X1) )
| ~ day(X0) ),
inference(ennf_transformation,[],[f45]) ).
fof(f93,plain,
! [X0] :
( ! [X1] :
( unicorn_lies(X1)
| ~ unicorn_lies(X0)
| lies_on_one_of(a_unicorn,X0,X1)
| ~ day(X1) )
| ~ day(X0) ),
inference(flattening,[],[f92]) ).
fof(f94,plain,
! [X0] :
( ~ day(X0)
| ~ lies_on_one_of(a_lion,X0,yesterday(X0))
| ~ lies_on_one_of(a_unicorn,X0,yesterday(X0)) ),
inference(ennf_transformation,[],[f47]) ).
fof(f98,plain,
thursday(a_thursday),
inference(cnf_transformation,[],[f4]) ).
fof(f112,plain,
! [X0] :
( ~ thursday(X0)
| wednesday(yesterday(X0)) ),
inference(cnf_transformation,[],[f58]) ).
fof(f118,plain,
! [X0] :
( ~ wednesday(X0)
| lion_lies(X0) ),
inference(cnf_transformation,[],[f64]) ).
fof(f119,plain,
! [X0] :
( ~ thursday(X0)
| ~ lion_lies(X0) ),
inference(cnf_transformation,[],[f65]) ).
fof(f125,plain,
! [X0] :
( ~ wednesday(X0)
| ~ unicorn_lies(X0) ),
inference(cnf_transformation,[],[f71]) ).
fof(f126,plain,
! [X0] :
( ~ thursday(X0)
| unicorn_lies(X0) ),
inference(cnf_transformation,[],[f72]) ).
fof(f130,plain,
! [X0] :
( ~ lion_lies(X0)
| day(X0) ),
inference(cnf_transformation,[],[f76]) ).
fof(f131,plain,
! [X0] :
( ~ unicorn_lies(X0)
| day(X0) ),
inference(cnf_transformation,[],[f77]) ).
fof(f134,plain,
! [X0,X1] :
( lies_on_one_of(a_lion,X0,X1)
| ~ day(X1)
| ~ day(X0)
| lion_lies(X0)
| ~ lion_lies(X1) ),
inference(cnf_transformation,[],[f83]) ).
fof(f139,plain,
! [X0,X1] :
( lies_on_one_of(a_unicorn,X0,X1)
| ~ day(X1)
| ~ day(X0)
| ~ unicorn_lies(X0)
| unicorn_lies(X1) ),
inference(cnf_transformation,[],[f93]) ).
fof(f140,plain,
! [X0] :
( ~ lies_on_one_of(a_unicorn,X0,yesterday(X0))
| ~ lies_on_one_of(a_lion,X0,yesterday(X0))
| ~ day(X0) ),
inference(cnf_transformation,[],[f94]) ).
fof(f151,plain,
~ lion_lies(a_thursday),
inference(resolution,[],[f119,f98]) ).
fof(f158,plain,
unicorn_lies(a_thursday),
inference(resolution,[],[f126,f98]) ).
fof(f180,plain,
wednesday(yesterday(a_thursday)),
inference(resolution,[],[f112,f98]) ).
fof(f182,plain,
~ unicorn_lies(yesterday(a_thursday)),
inference(resolution,[],[f180,f125]) ).
fof(f183,plain,
lion_lies(yesterday(a_thursday)),
inference(resolution,[],[f180,f118]) ).
fof(f212,plain,
! [X0] :
( ~ day(yesterday(X0))
| ~ day(X0)
| ~ unicorn_lies(X0)
| unicorn_lies(yesterday(X0))
| ~ lies_on_one_of(a_lion,X0,yesterday(X0))
| ~ day(X0) ),
inference(resolution,[],[f139,f140]) ).
fof(f213,plain,
! [X0] :
( ~ day(yesterday(X0))
| ~ day(X0)
| ~ unicorn_lies(X0)
| unicorn_lies(yesterday(X0))
| ~ lies_on_one_of(a_lion,X0,yesterday(X0)) ),
inference(duplicate_literal_removal,[],[f212]) ).
fof(f214,plain,
! [X0] :
( ~ lies_on_one_of(a_lion,X0,yesterday(X0))
| ~ unicorn_lies(X0)
| unicorn_lies(yesterday(X0))
| ~ day(yesterday(X0)) ),
inference(forward_subsumption_resolution,[],[f213,f131]) ).
fof(f216,plain,
! [X0] :
( ~ unicorn_lies(X0)
| unicorn_lies(yesterday(X0))
| ~ day(yesterday(X0))
| ~ day(yesterday(X0))
| ~ day(X0)
| lion_lies(X0)
| ~ lion_lies(yesterday(X0)) ),
inference(resolution,[],[f214,f134]) ).
fof(f217,plain,
! [X0] :
( ~ unicorn_lies(X0)
| unicorn_lies(yesterday(X0))
| ~ day(yesterday(X0))
| ~ day(X0)
| lion_lies(X0)
| ~ lion_lies(yesterday(X0)) ),
inference(duplicate_literal_removal,[],[f216]) ).
fof(f219,plain,
! [X0] :
( ~ unicorn_lies(X0)
| unicorn_lies(yesterday(X0))
| ~ day(yesterday(X0))
| lion_lies(X0)
| ~ lion_lies(yesterday(X0)) ),
inference(forward_subsumption_resolution,[],[f217,f131]) ).
fof(f221,plain,
! [X0] :
( unicorn_lies(yesterday(X0))
| ~ unicorn_lies(X0)
| lion_lies(X0)
| ~ lion_lies(yesterday(X0)) ),
inference(forward_subsumption_resolution,[],[f219,f130]) ).
fof(f246,plain,
( ~ unicorn_lies(a_thursday)
| lion_lies(a_thursday)
| ~ lion_lies(yesterday(a_thursday)) ),
inference(resolution,[],[f182,f221]) ).
fof(f247,plain,
( lion_lies(a_thursday)
| ~ lion_lies(yesterday(a_thursday)) ),
inference(forward_subsumption_resolution,[],[f246,f158]) ).
fof(f248,plain,
~ lion_lies(yesterday(a_thursday)),
inference(forward_subsumption_resolution,[],[f247,f151]) ).
fof(f249,plain,
$false,
inference(forward_subsumption_resolution,[],[f248,f183]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ005+1 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.39 % Computer : n003.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sun Sep 27 22:30:41 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.42 Running first-order model finding
% 0.12/0.42 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.47 % (981149)Will run a generic schedule for satisfiability detection.
% 0.18/0.47 % (981165)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2756731430:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.18/0.47 % (981165) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-981149-981165"...
% 0.18/0.47 % (981165)...printing done.
% 0.18/0.47 % (981161)% WARNING: option uhcvi not known.
% 0.18/0.47 % (981165)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 % (981165)------------------------------
% 0.18/0.47 % (981165)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.47 % (981165)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.47 % (981165)CaDiCaL version: 2.1.3
% 0.18/0.47 % (981165)Termination reason: Refutation
% 0.18/0.47 % (981165)Time elapsed: 0.002 s
% 0.18/0.47 % (981165)Peak memory usage: 12 MB
% 0.18/0.47 % (981165)Instructions burned: 5 (million)
% 0.18/0.47 % (981149)Success in time 0.038 s
% 0.18/0.47 % Vampire exiting
%------------------------------------------------------------------------------