TSTP Solution File: PUZ005+1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : PUZ005+1 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n018.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 : Wed Aug 31 18:10:38 EDT 2022
% Result : Theorem 0.20s 0.53s
% Output : Refutation 1.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 11
% Syntax : Number of formulae : 48 ( 4 unt; 0 def)
% Number of atoms : 147 ( 0 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 184 ( 85 ~; 80 |; 6 &)
% ( 0 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 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 : 53 ( 51 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f238,plain,
$false,
inference(unit_resulting_resolution,[],[f127,f236]) ).
fof(f236,plain,
! [X5] : ~ thursday(X5),
inference(subsumption_resolution,[],[f235,f119]) ).
fof(f119,plain,
! [X0] :
( ~ thursday(X0)
| wednesday(yesterday(X0)) ),
inference(cnf_transformation,[],[f55]) ).
fof(f55,plain,
! [X0] :
( ~ thursday(X0)
| wednesday(yesterday(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(f235,plain,
! [X5] :
( ~ wednesday(yesterday(X5))
| ~ thursday(X5) ),
inference(subsumption_resolution,[],[f230,f137]) ).
fof(f137,plain,
! [X0] :
( ~ lion_lies(X0)
| ~ thursday(X0) ),
inference(cnf_transformation,[],[f66]) ).
fof(f66,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(f230,plain,
! [X5] :
( lion_lies(X5)
| ~ wednesday(yesterday(X5))
| ~ thursday(X5) ),
inference(resolution,[],[f182,f104]) ).
fof(f104,plain,
! [X0] :
( unicorn_lies(X0)
| ~ thursday(X0) ),
inference(cnf_transformation,[],[f91]) ).
fof(f91,plain,
! [X0] :
( ~ thursday(X0)
| unicorn_lies(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(f182,plain,
! [X5] :
( ~ unicorn_lies(X5)
| lion_lies(X5)
| ~ wednesday(yesterday(X5)) ),
inference(subsumption_resolution,[],[f181,f123]) ).
fof(f123,plain,
! [X0] :
( lion_lies(X0)
| ~ wednesday(X0) ),
inference(cnf_transformation,[],[f74]) ).
fof(f74,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(f181,plain,
! [X5] :
( ~ unicorn_lies(X5)
| ~ lion_lies(yesterday(X5))
| ~ wednesday(yesterday(X5))
| lion_lies(X5) ),
inference(resolution,[],[f160,f118]) ).
fof(f118,plain,
! [X0] :
( ~ unicorn_lies(X0)
| ~ wednesday(X0) ),
inference(cnf_transformation,[],[f94]) ).
fof(f94,plain,
! [X0] :
( ~ wednesday(X0)
| ~ unicorn_lies(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(f160,plain,
! [X0] :
( unicorn_lies(yesterday(X0))
| ~ unicorn_lies(X0)
| lion_lies(X0)
| ~ lion_lies(yesterday(X0)) ),
inference(subsumption_resolution,[],[f159,f114]) ).
fof(f114,plain,
! [X0] :
( ~ lion_lies(X0)
| day(X0) ),
inference(cnf_transformation,[],[f84]) ).
fof(f84,plain,
! [X0] :
( ~ lion_lies(X0)
| day(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(f159,plain,
! [X0] :
( ~ unicorn_lies(X0)
| ~ day(yesterday(X0))
| lion_lies(X0)
| ~ lion_lies(yesterday(X0))
| unicorn_lies(yesterday(X0)) ),
inference(subsumption_resolution,[],[f156,f131]) ).
fof(f131,plain,
! [X0] :
( ~ unicorn_lies(X0)
| day(X0) ),
inference(cnf_transformation,[],[f79]) ).
fof(f79,plain,
! [X0] :
( ~ unicorn_lies(X0)
| day(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(f156,plain,
! [X0] :
( ~ day(X0)
| lion_lies(X0)
| unicorn_lies(yesterday(X0))
| ~ lion_lies(yesterday(X0))
| ~ unicorn_lies(X0)
| ~ day(yesterday(X0)) ),
inference(duplicate_literal_removal,[],[f154]) ).
fof(f154,plain,
! [X0] :
( ~ day(yesterday(X0))
| ~ lion_lies(yesterday(X0))
| ~ day(X0)
| ~ unicorn_lies(X0)
| ~ day(yesterday(X0))
| lion_lies(X0)
| unicorn_lies(yesterday(X0)) ),
inference(resolution,[],[f145,f100]) ).
fof(f100,plain,
! [X0,X1] :
( lies_on_one_of(a_lion,X0,X1)
| ~ day(X0)
| ~ lion_lies(X1)
| ~ day(X1)
| lion_lies(X0) ),
inference(cnf_transformation,[],[f76]) ).
fof(f76,plain,
! [X0] :
( ~ day(X0)
| ! [X1] :
( lion_lies(X0)
| ~ day(X1)
| lies_on_one_of(a_lion,X0,X1)
| ~ lion_lies(X1) ) ),
inference(flattening,[],[f75]) ).
fof(f75,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(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(f145,plain,
! [X1] :
( ~ lies_on_one_of(a_lion,X1,yesterday(X1))
| ~ day(yesterday(X1))
| ~ unicorn_lies(X1)
| unicorn_lies(yesterday(X1)) ),
inference(subsumption_resolution,[],[f144,f131]) ).
fof(f144,plain,
! [X1] :
( ~ lies_on_one_of(a_lion,X1,yesterday(X1))
| ~ day(yesterday(X1))
| ~ day(X1)
| ~ unicorn_lies(X1)
| unicorn_lies(yesterday(X1)) ),
inference(duplicate_literal_removal,[],[f142]) ).
fof(f142,plain,
! [X1] :
( unicorn_lies(yesterday(X1))
| ~ unicorn_lies(X1)
| ~ lies_on_one_of(a_lion,X1,yesterday(X1))
| ~ day(X1)
| ~ day(yesterday(X1))
| ~ day(X1) ),
inference(resolution,[],[f134,f125]) ).
fof(f125,plain,
! [X0,X1] :
( lies_on_one_of(a_unicorn,X0,X1)
| ~ day(X1)
| ~ day(X0)
| ~ unicorn_lies(X0)
| unicorn_lies(X1) ),
inference(cnf_transformation,[],[f81]) ).
fof(f81,plain,
! [X0] :
( ~ day(X0)
| ! [X1] :
( unicorn_lies(X1)
| ~ unicorn_lies(X0)
| lies_on_one_of(a_unicorn,X0,X1)
| ~ day(X1) ) ),
inference(flattening,[],[f80]) ).
fof(f80,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) ).
fof(f134,plain,
! [X0] :
( ~ lies_on_one_of(a_unicorn,X0,yesterday(X0))
| ~ day(X0)
| ~ lies_on_one_of(a_lion,X0,yesterday(X0)) ),
inference(cnf_transformation,[],[f93]) ).
fof(f93,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_lion,X0,yesterday(X0))
& day(X0)
& lies_on_one_of(a_unicorn,X0,yesterday(X0)) ),
inference(negated_conjecture,[],[f46]) ).
fof(f46,conjecture,
? [X0] :
( lies_on_one_of(a_lion,X0,yesterday(X0))
& day(X0)
& lies_on_one_of(a_unicorn,X0,yesterday(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_there_are_close_lying_days) ).
fof(f127,plain,
thursday(a_thursday),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
thursday(a_thursday),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thursday) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : PUZ005+1 : TPTP v8.1.0. Released v2.2.0.
% 0.06/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n018.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 30 10:38:40 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.50 % (20004)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.50 % (20004)Refutation not found, incomplete strategy% (20004)------------------------------
% 0.20/0.50 % (20004)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50 % (20004)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50 % (20004)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.50
% 0.20/0.50 % (20004)Memory used [KB]: 6012
% 0.20/0.50 % (20004)Time elapsed: 0.075 s
% 0.20/0.50 % (20004)Instructions burned: 3 (million)
% 0.20/0.50 % (20004)------------------------------
% 0.20/0.50 % (20004)------------------------------
% 0.20/0.50 % (20020)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.20/0.51 % (20020)Refutation not found, incomplete strategy% (20020)------------------------------
% 0.20/0.51 % (20020)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (20020)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (20020)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.51
% 0.20/0.51 % (20020)Memory used [KB]: 6012
% 0.20/0.51 % (20020)Time elapsed: 0.088 s
% 0.20/0.51 % (20020)Instructions burned: 6 (million)
% 0.20/0.51 % (20020)------------------------------
% 0.20/0.51 % (20020)------------------------------
% 0.20/0.52 % (19992)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.20/0.52 % (19992)Refutation not found, incomplete strategy% (19992)------------------------------
% 0.20/0.52 % (19992)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (19992)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (19992)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.52
% 0.20/0.52 % (19992)Memory used [KB]: 6012
% 0.20/0.52 % (19992)Time elapsed: 0.115 s
% 0.20/0.52 % (19992)Instructions burned: 3 (million)
% 0.20/0.52 % (19992)------------------------------
% 0.20/0.52 % (19992)------------------------------
% 0.20/0.52 % (20012)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.53 % (19995)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.20/0.53 % (20012)First to succeed.
% 0.20/0.53 % (19995)Refutation not found, incomplete strategy% (19995)------------------------------
% 0.20/0.53 % (19995)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (19995)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (19995)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.53
% 0.20/0.53 % (19995)Memory used [KB]: 5884
% 0.20/0.53 % (19995)Time elapsed: 0.116 s
% 0.20/0.53 % (19995)Instructions burned: 2 (million)
% 0.20/0.53 % (19995)------------------------------
% 0.20/0.53 % (19995)------------------------------
% 0.20/0.53 % (20000)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.20/0.53 % (20012)Refutation found. Thanks to Tanya!
% 0.20/0.53 % SZS status Theorem for theBenchmark
% 0.20/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 1.34/0.53 % (20012)------------------------------
% 1.34/0.53 % (20012)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.34/0.53 % (20012)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.34/0.53 % (20012)Termination reason: Refutation
% 1.34/0.53
% 1.34/0.53 % (20012)Memory used [KB]: 6012
% 1.34/0.53 % (20012)Time elapsed: 0.115 s
% 1.34/0.53 % (20012)Instructions burned: 4 (million)
% 1.34/0.53 % (20012)------------------------------
% 1.34/0.53 % (20012)------------------------------
% 1.34/0.53 % (19990)Success in time 0.173 s
%------------------------------------------------------------------------------