TSTP Solution File: PUZ005+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : PUZ005+1 : TPTP v8.2.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n002.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 : Tue May 21 02:28:55 EDT 2024
% Result : Theorem 0.16s 0.40s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 13
% Syntax : Number of formulae : 60 ( 7 unt; 0 def)
% Number of atoms : 160 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 183 ( 83 ~; 79 |; 6 &)
% ( 2 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 3 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 51 ( 49 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f437,plain,
$false,
inference(avatar_sat_refutation,[],[f314,f321,f436]) ).
fof(f436,plain,
~ spl0_5,
inference(avatar_contradiction_clause,[],[f435]) ).
fof(f435,plain,
( $false
| ~ spl0_5 ),
inference(subsumption_resolution,[],[f434,f99]) ).
fof(f99,plain,
thursday(a_thursday),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
thursday(a_thursday),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thursday) ).
fof(f434,plain,
( ~ thursday(a_thursday)
| ~ spl0_5 ),
inference(resolution,[],[f390,f127]) ).
fof(f127,plain,
! [X0] :
( wednesday(yesterday(X0))
| ~ thursday(X0) ),
inference(cnf_transformation,[],[f73]) ).
fof(f73,plain,
! [X0] :
( wednesday(yesterday(X0))
| ~ thursday(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,axiom,
! [X0] :
( thursday(X0)
=> wednesday(yesterday(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thursday_follows_wednesday) ).
fof(f390,plain,
( ~ wednesday(yesterday(a_thursday))
| ~ spl0_5 ),
inference(resolution,[],[f313,f107]) ).
fof(f107,plain,
! [X0] :
( ~ unicorn_lies(X0)
| ~ wednesday(X0) ),
inference(cnf_transformation,[],[f53]) ).
fof(f53,plain,
! [X0] :
( ~ unicorn_lies(X0)
| ~ wednesday(X0) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,axiom,
! [X0] :
( wednesday(X0)
=> ~ unicorn_lies(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unicorn_does_not_lie_wednesday) ).
fof(f313,plain,
( unicorn_lies(yesterday(a_thursday))
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f311]) ).
fof(f311,plain,
( spl0_5
<=> unicorn_lies(yesterday(a_thursday)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f321,plain,
~ spl0_4,
inference(avatar_contradiction_clause,[],[f320]) ).
fof(f320,plain,
( $false
| ~ spl0_4 ),
inference(subsumption_resolution,[],[f318,f99]) ).
fof(f318,plain,
( ~ thursday(a_thursday)
| ~ spl0_4 ),
inference(resolution,[],[f309,f105]) ).
fof(f105,plain,
! [X0] :
( ~ lion_lies(X0)
| ~ thursday(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f51,plain,
! [X0] :
( ~ lion_lies(X0)
| ~ thursday(X0) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,axiom,
! [X0] :
( thursday(X0)
=> ~ lion_lies(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lion_does_not_lie_thursday) ).
fof(f309,plain,
( lion_lies(a_thursday)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f307]) ).
fof(f307,plain,
( spl0_4
<=> lion_lies(a_thursday) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f314,plain,
( spl0_4
| spl0_5 ),
inference(avatar_split_clause,[],[f305,f311,f307]) ).
fof(f305,plain,
( unicorn_lies(yesterday(a_thursday))
| lion_lies(a_thursday) ),
inference(subsumption_resolution,[],[f304,f151]) ).
fof(f151,plain,
unicorn_lies(a_thursday),
inference(resolution,[],[f113,f99]) ).
fof(f113,plain,
! [X0] :
( ~ thursday(X0)
| unicorn_lies(X0) ),
inference(cnf_transformation,[],[f59]) ).
fof(f59,plain,
! [X0] :
( unicorn_lies(X0)
| ~ thursday(X0) ),
inference(ennf_transformation,[],[f32]) ).
fof(f32,axiom,
! [X0] :
( thursday(X0)
=> unicorn_lies(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unicorn_lies_thursday) ).
fof(f304,plain,
( unicorn_lies(yesterday(a_thursday))
| ~ unicorn_lies(a_thursday)
| lion_lies(a_thursday) ),
inference(resolution,[],[f267,f224]) ).
fof(f224,plain,
lion_lies(yesterday(a_thursday)),
inference(resolution,[],[f179,f99]) ).
fof(f179,plain,
! [X0] :
( ~ thursday(X0)
| lion_lies(yesterday(X0)) ),
inference(resolution,[],[f127,f114]) ).
fof(f114,plain,
! [X0] :
( ~ wednesday(X0)
| lion_lies(X0) ),
inference(cnf_transformation,[],[f60]) ).
fof(f60,plain,
! [X0] :
( lion_lies(X0)
| ~ wednesday(X0) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,axiom,
! [X0] :
( wednesday(X0)
=> lion_lies(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lion_lies_wednesday) ).
fof(f267,plain,
! [X0] :
( ~ lion_lies(yesterday(X0))
| unicorn_lies(yesterday(X0))
| ~ unicorn_lies(X0)
| lion_lies(X0) ),
inference(subsumption_resolution,[],[f266,f132]) ).
fof(f132,plain,
! [X0] :
( ~ unicorn_lies(X0)
| day(X0) ),
inference(cnf_transformation,[],[f78]) ).
fof(f78,plain,
! [X0] :
( day(X0)
| ~ unicorn_lies(X0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,axiom,
! [X0] :
( unicorn_lies(X0)
=> day(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unicorn_lies_on_a_day) ).
fof(f266,plain,
! [X0] :
( ~ unicorn_lies(X0)
| unicorn_lies(yesterday(X0))
| ~ lion_lies(yesterday(X0))
| lion_lies(X0)
| ~ day(X0) ),
inference(subsumption_resolution,[],[f264,f131]) ).
fof(f131,plain,
! [X0] :
( ~ lion_lies(X0)
| day(X0) ),
inference(cnf_transformation,[],[f77]) ).
fof(f77,plain,
! [X0] :
( day(X0)
| ~ lion_lies(X0) ),
inference(ennf_transformation,[],[f36]) ).
fof(f36,axiom,
! [X0] :
( lion_lies(X0)
=> day(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lion_lies_on_a_day) ).
fof(f264,plain,
! [X0] :
( ~ unicorn_lies(X0)
| ~ day(yesterday(X0))
| unicorn_lies(yesterday(X0))
| ~ lion_lies(yesterday(X0))
| lion_lies(X0)
| ~ day(X0) ),
inference(resolution,[],[f197,f183]) ).
fof(f183,plain,
! [X0,X1] :
( lies_on_one_of(a_lion,X0,X1)
| ~ lion_lies(X1)
| lion_lies(X0)
| ~ day(X0) ),
inference(subsumption_resolution,[],[f133,f131]) ).
fof(f133,plain,
! [X0,X1] :
( ~ lion_lies(X1)
| lies_on_one_of(a_lion,X0,X1)
| lion_lies(X0)
| ~ day(X1)
| ~ day(X0) ),
inference(cnf_transformation,[],[f80]) ).
fof(f80,plain,
! [X0] :
( ! [X1] :
( ~ lion_lies(X1)
| lies_on_one_of(a_lion,X0,X1)
| lion_lies(X0)
| ~ day(X1) )
| ~ day(X0) ),
inference(flattening,[],[f79]) ).
fof(f79,plain,
! [X0] :
( ! [X1] :
( ~ lion_lies(X1)
| lies_on_one_of(a_lion,X0,X1)
| lion_lies(X0)
| ~ day(X1) )
| ~ day(X0) ),
inference(ennf_transformation,[],[f40]) ).
fof(f40,axiom,
! [X0] :
( day(X0)
=> ! [X1] :
( day(X1)
=> ( ( ~ lies_on_one_of(a_lion,X0,X1)
& ~ lion_lies(X0) )
=> ~ lion_lies(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lion_lies_on_neither) ).
fof(f197,plain,
! [X0] :
( ~ lies_on_one_of(a_lion,X0,yesterday(X0))
| ~ unicorn_lies(X0)
| ~ day(yesterday(X0))
| unicorn_lies(yesterday(X0)) ),
inference(subsumption_resolution,[],[f194,f132]) ).
fof(f194,plain,
! [X0] :
( unicorn_lies(yesterday(X0))
| ~ unicorn_lies(X0)
| ~ day(yesterday(X0))
| ~ lies_on_one_of(a_lion,X0,yesterday(X0))
| ~ day(X0) ),
inference(resolution,[],[f191,f95]) ).
fof(f95,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,[],[f48]) ).
fof(f48,plain,
! [X0] :
( ~ lies_on_one_of(a_unicorn,X0,yesterday(X0))
| ~ lies_on_one_of(a_lion,X0,yesterday(X0))
| ~ day(X0) ),
inference(ennf_transformation,[],[f47]) ).
fof(f47,negated_conjecture,
~ ? [X0] :
( lies_on_one_of(a_unicorn,X0,yesterday(X0))
& lies_on_one_of(a_lion,X0,yesterday(X0))
& day(X0) ),
inference(negated_conjecture,[],[f46]) ).
fof(f46,conjecture,
? [X0] :
( lies_on_one_of(a_unicorn,X0,yesterday(X0))
& lies_on_one_of(a_lion,X0,yesterday(X0))
& day(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_there_are_close_lying_days) ).
fof(f191,plain,
! [X0,X1] :
( lies_on_one_of(a_unicorn,X0,X1)
| unicorn_lies(X1)
| ~ unicorn_lies(X0)
| ~ day(X1) ),
inference(subsumption_resolution,[],[f137,f132]) ).
fof(f137,plain,
! [X0,X1] :
( unicorn_lies(X1)
| lies_on_one_of(a_unicorn,X0,X1)
| ~ unicorn_lies(X0)
| ~ day(X1)
| ~ day(X0) ),
inference(cnf_transformation,[],[f88]) ).
fof(f88,plain,
! [X0] :
( ! [X1] :
( unicorn_lies(X1)
| lies_on_one_of(a_unicorn,X0,X1)
| ~ unicorn_lies(X0)
| ~ day(X1) )
| ~ day(X0) ),
inference(flattening,[],[f87]) ).
fof(f87,plain,
! [X0] :
( ! [X1] :
( unicorn_lies(X1)
| lies_on_one_of(a_unicorn,X0,X1)
| ~ unicorn_lies(X0)
| ~ day(X1) )
| ~ day(X0) ),
inference(ennf_transformation,[],[f45]) ).
fof(f45,axiom,
! [X0] :
( day(X0)
=> ! [X1] :
( day(X1)
=> ( ( ~ lies_on_one_of(a_unicorn,X0,X1)
& unicorn_lies(X0) )
=> unicorn_lies(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unicorn_lies_on_both) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : PUZ005+1 : TPTP v8.2.0. Released v2.2.0.
% 0.08/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.16/0.37 % Computer : n002.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Sat May 18 10:42:22 EDT 2024
% 0.16/0.37 % CPUTime :
% 0.16/0.38 % (31144)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.39 % (31151)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.16/0.39 % (31150)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.16/0.40 % (31145)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.16/0.40 % (31148)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.16/0.40 % (31149)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.16/0.40 % (31146)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.16/0.40 % (31147)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.16/0.40 TRYING [1]
% 0.16/0.40 TRYING [1]
% 0.16/0.40 Detected minimum model sizes of [1,1]
% 0.16/0.40 Detected minimum model sizes of [1,1]
% 0.16/0.40 Detected maximum model sizes of [max,2]
% 0.16/0.40 Detected maximum model sizes of [max,2]
% 0.16/0.40 TRYING [1,1]
% 0.16/0.40 TRYING [1,1]
% 0.16/0.40 TRYING [2]
% 0.16/0.40 TRYING [2]
% 0.16/0.40 TRYING [2,1]
% 0.16/0.40 TRYING [2,1]
% 0.16/0.40 TRYING [3]
% 0.16/0.40 TRYING [3]
% 0.16/0.40 TRYING [3,1]
% 0.16/0.40 TRYING [3,1]
% 0.16/0.40 TRYING [4]
% 0.16/0.40 TRYING [4]
% 0.16/0.40 TRYING [4,1]
% 0.16/0.40 TRYING [4,1]
% 0.16/0.40 % (31150)First to succeed.
% 0.16/0.40 % (31147)Also succeeded, but the first one will report.
% 0.16/0.40 TRYING [5]
% 0.16/0.40 TRYING [3,2]
% 0.16/0.40 TRYING [3,2]
% 0.16/0.40 TRYING [5]
% 0.16/0.40 % (31150)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-31144"
% 0.16/0.40 TRYING [4,2]
% 0.16/0.40 TRYING [4,2]
% 0.16/0.40 % (31150)Refutation found. Thanks to Tanya!
% 0.16/0.40 % SZS status Theorem for theBenchmark
% 0.16/0.40 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.40 % (31150)------------------------------
% 0.16/0.40 % (31150)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.16/0.40 % (31150)Termination reason: Refutation
% 0.16/0.40
% 0.16/0.40 % (31150)Memory used [KB]: 927
% 0.16/0.40 % (31150)Time elapsed: 0.008 s
% 0.16/0.40 % (31150)Instructions burned: 11 (million)
% 0.16/0.40 % (31144)Success in time 0.012 s
%------------------------------------------------------------------------------