%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : PUZ005+1 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n014.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 12:31:03 PM UTC 2026
% Result : Theorem 0.86s 1.14s
% Output : Refutation 2.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 15
% Syntax : Number of formulae : 74 ( 13 unt; 3 def)
% Number of atoms : 176 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 187 ( 85 ~; 79 |; 6 &)
% ( 3 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 4 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 49 ( 0 sgn 47 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
thursday(a_thursday),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thursday) ).
fof(f10,axiom,
! [X0] :
( wednesday(X0)
=> day(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wednesday_is_a_day) ).
fof(f18,axiom,
! [X0] :
( thursday(X0)
=> wednesday(yesterday(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thursday_follows_wednesday) ).
fof(f24,axiom,
! [X0] :
( wednesday(X0)
=> lion_lies(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lion_lies_wednesday) ).
fof(f25,axiom,
! [X0] :
( thursday(X0)
=> ~ lion_lies(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lion_does_not_lie_thursday) ).
fof(f31,axiom,
! [X0] :
( wednesday(X0)
=> ~ unicorn_lies(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unicorn_does_not_lie_wednesday) ).
fof(f32,axiom,
! [X0] :
( thursday(X0)
=> unicorn_lies(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unicorn_lies_thursday) ).
fof(f36,axiom,
! [X0] :
( lion_lies(X0)
=> day(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lion_lies_on_a_day) ).
fof(f37,axiom,
! [X0] :
( unicorn_lies(X0)
=> day(X0) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/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(f50,plain,
! [X0] :
( day(X0)
| ~ wednesday(X0) ),
inference(ennf_transformation,[],[f10]) ).
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(f104,plain,
! [X0] :
( day(X0)
| ~ wednesday(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f112,plain,
! [X0] :
( wednesday(yesterday(X0))
| ~ thursday(X0) ),
inference(cnf_transformation,[],[f58]) ).
fof(f118,plain,
! [X0] :
( lion_lies(X0)
| ~ wednesday(X0) ),
inference(cnf_transformation,[],[f64]) ).
fof(f119,plain,
! [X0] :
( ~ thursday(X0)
| ~ lion_lies(X0) ),
inference(cnf_transformation,[],[f65]) ).
fof(f125,plain,
! [X0] :
( ~ unicorn_lies(X0)
| ~ wednesday(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] :
( ~ lion_lies(X1)
| lion_lies(X0)
| lies_on_one_of(a_lion,X0,X1)
| ~ day(X1)
| ~ day(X0) ),
inference(cnf_transformation,[],[f83]) ).
fof(f139,plain,
! [X0,X1] :
( unicorn_lies(X1)
| ~ unicorn_lies(X0)
| lies_on_one_of(a_unicorn,X0,X1)
| ~ day(X1)
| ~ day(X0) ),
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(f144,plain,
~ lion_lies(a_thursday),
inference(resolution,[],[f119,f98]) ).
fof(f156,plain,
! [X0,X1] :
( lies_on_one_of(a_lion,X0,X1)
| lion_lies(X0)
| ~ lion_lies(X1)
| ~ day(X0) ),
inference(forward_subsumption_resolution,[],[f134,f130]) ).
fof(f177,plain,
! [X0,X1] :
( ~ unicorn_lies(X0)
| unicorn_lies(X1)
| lies_on_one_of(a_unicorn,X0,X1)
| ~ day(X1) ),
inference(forward_subsumption_resolution,[],[f139,f131]) ).
fof(f181,plain,
unicorn_lies(a_thursday),
inference(resolution,[],[f126,f98]) ).
fof(f188,plain,
day(a_thursday),
inference(resolution,[],[f181,f131]) ).
fof(f191,plain,
! [X0] :
( lies_on_one_of(a_unicorn,a_thursday,X0)
| unicorn_lies(X0)
| ~ day(X0) ),
inference(resolution,[],[f181,f177]) ).
fof(f293,plain,
( unicorn_lies(yesterday(a_thursday))
| ~ day(yesterday(a_thursday))
| ~ lies_on_one_of(a_lion,a_thursday,yesterday(a_thursday))
| ~ day(a_thursday) ),
inference(resolution,[],[f191,f140]) ).
fof(f295,plain,
( unicorn_lies(yesterday(a_thursday))
| ~ day(yesterday(a_thursday))
| ~ lies_on_one_of(a_lion,a_thursday,yesterday(a_thursday)) ),
inference(forward_subsumption_resolution,[],[f293,f188]) ).
fof(f297,definition,
( spl0_1
<=> lies_on_one_of(a_lion,a_thursday,yesterday(a_thursday)) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f299,plain,
( ~ lies_on_one_of(a_lion,a_thursday,yesterday(a_thursday))
| spl0_1 ),
inference(avatar_component_clause,[],[f297]) ).
fof(f301,definition,
( spl0_2
<=> day(yesterday(a_thursday)) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f303,plain,
( ~ day(yesterday(a_thursday))
| spl0_2 ),
inference(avatar_component_clause,[],[f301]) ).
fof(f305,definition,
( spl0_3
<=> unicorn_lies(yesterday(a_thursday)) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f307,plain,
( unicorn_lies(yesterday(a_thursday))
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f305]) ).
fof(f308,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_3 ),
inference(avatar_split_clause,[],[f295,f305,f301,f297]) ).
fof(f310,plain,
( lion_lies(a_thursday)
| ~ lion_lies(yesterday(a_thursday))
| ~ day(a_thursday)
| spl0_1 ),
inference(resolution,[],[f299,f156]) ).
fof(f311,plain,
( ~ lion_lies(yesterday(a_thursday))
| ~ day(a_thursday)
| spl0_1 ),
inference(forward_subsumption_resolution,[],[f310,f144]) ).
fof(f312,plain,
( ~ lion_lies(yesterday(a_thursday))
| spl0_1 ),
inference(forward_subsumption_resolution,[],[f311,f188]) ).
fof(f317,plain,
( ~ wednesday(yesterday(a_thursday))
| spl0_1 ),
inference(resolution,[],[f312,f118]) ).
fof(f327,plain,
( ~ thursday(a_thursday)
| spl0_1 ),
inference(resolution,[],[f317,f112]) ).
fof(f328,plain,
( $false
| spl0_1 ),
inference(forward_subsumption_resolution,[],[f327,f98]) ).
fof(f329,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f328]) ).
fof(f336,plain,
( ~ wednesday(yesterday(a_thursday))
| spl0_2 ),
inference(resolution,[],[f303,f104]) ).
fof(f353,plain,
( ~ thursday(a_thursday)
| spl0_2 ),
inference(resolution,[],[f336,f112]) ).
fof(f354,plain,
( $false
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f353,f98]) ).
fof(f355,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f354]) ).
fof(f365,plain,
( ~ wednesday(yesterday(a_thursday))
| ~ spl0_3 ),
inference(resolution,[],[f307,f125]) ).
fof(f376,plain,
( ~ thursday(a_thursday)
| ~ spl0_3 ),
inference(resolution,[],[f365,f112]) ).
fof(f377,plain,
( $false
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f376,f98]) ).
fof(f378,plain,
~ spl0_3,
inference(avatar_contradiction_clause,[],[f377]) ).
cnf(s1,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_3 ),
inference(sat_conversion,[],[f308]) ).
cnf(s2,plain,
spl0_1,
inference(sat_conversion,[],[f329]) ).
cnf(s3,plain,
spl0_2,
inference(sat_conversion,[],[f355]) ).
cnf(s5,plain,
~ spl0_3,
inference(sat_conversion,[],[f378]) ).
cnf(s7,plain,
$false,
inference(rat,[],[s1,s5,s3,s2]) ).
fof(f379,plain,
$false,
inference(avatar_sat_refutation,[],[s7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ005+1 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n014.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 22:28:46 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.42 Running first-order theorem proving
% 0.10/0.42 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.86/1.14 % (1229473)Detected formulas, will run a generic FOF schedule.
% 0.86/1.14 % (1229565)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=202623110:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 0.86/1.14 % (1229565)First to succeed.
% 0.86/1.14 % (1229565)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1229473"
% 0.86/1.14 % (1229563)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=113370517:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 0.86/1.14 % (1229561)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=3276223617:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 0.86/1.14 % (1229562)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=4286372906:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 0.86/1.14 % (1229560)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=3360275242:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 0.86/1.14 % (1229563)Refutation not found, incomplete strategy
% 0.86/1.14 % (1229563)------------------------------
% 0.86/1.14 % (1229563)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.86/1.14 % (1229563)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/1.14 % (1229563)CaDiCaL version: 2.1.3
% 0.86/1.14 % (1229563)Termination reason: Refutation not found, incomplete strategy
% 0.86/1.14 % (1229563)Time elapsed: 0.001 s
% 0.86/1.14 % (1229563)Peak memory usage: 87 MB
% 0.86/1.14 % (1229564)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3232189327:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 0.86/1.14 % (1229567)dis-21_1_sil=8000:lcm=predicate:random_seed=1023410213: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)
% 0.86/1.14 % (1229564)Refutation not found, incomplete strategy
% 0.86/1.14 % (1229564)------------------------------
% 0.86/1.14 % (1229564)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.86/1.14 % (1229564)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/1.14 % (1229564)CaDiCaL version: 2.1.3
% 0.86/1.14 % (1229564)Termination reason: Refutation not found, incomplete strategy
% 0.86/1.14 % (1229564)Time elapsed: 0.002 s
% 0.86/1.14 % (1229564)Peak memory usage: 87 MB
% 0.86/1.14 % (1229564)Instructions burned: 1 (million)
% 0.86/1.14 % (1229567)Also succeeded, but the first one will report.
% 0.86/1.14 % (1229565)Refutation found. Thanks to Tanya!
% 0.86/1.14 % SZS status Theorem for theBenchmark
% 0.86/1.14 % SZS output start Proof for theBenchmark
% See solution above
% 2.63/1.33 % (1229565)------------------------------
% 2.63/1.33 % (1229565)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.63/1.33 % (1229565)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.63/1.33 % (1229565)CaDiCaL version: 2.1.3
% 2.63/1.33 % (1229565)Termination reason: Refutation
% 2.63/1.33 % (1229565)Time elapsed: 0.004 s
% 2.63/1.33 % (1229565)Peak memory usage: 89 MB
% 2.63/1.33 % (1229565)Instructions burned: 7 (million)
% 2.63/1.33 % (1229565)------------------------------
% 2.63/1.33 % (1229565)------------------------------
% 2.63/1.33 % (1229473)Success in time 0.288 s
% 2.63/1.33 % Vampire exiting
%------------------------------------------------------------------------------