TSTP Solution File: PUZ018_1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : PUZ018_1 : TPTP v8.1.2. Bugfixed v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n025.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 May 1 03:38:14 EDT 2024
% Result : Theorem 0.74s 0.91s
% Output : Refutation 0.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 47
% Syntax : Number of formulae : 101 ( 53 unt; 17 typ; 0 def)
% Number of atoms : 150 ( 0 equ)
% Maximal formula atoms : 7 ( 1 avg)
% Number of connectives : 130 ( 64 ~; 51 |; 5 &)
% ( 7 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 9 ( 5 >; 4 *; 0 +; 0 <<)
% Number of predicates : 13 ( 12 usr; 8 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 10 con; 0-0 aty)
% Number of variables : 32 ( 32 !; 0 ?; 32 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
day: $tType ).
tff(type_def_6,type,
person: $tType ).
tff(func_def_0,type,
a: person ).
tff(func_def_1,type,
b: person ).
tff(func_def_2,type,
c: person ).
tff(func_def_3,type,
monday: day ).
tff(func_def_4,type,
tuesday: day ).
tff(func_def_5,type,
wednesday: day ).
tff(func_def_6,type,
thursday: day ).
tff(func_def_7,type,
friday: day ).
tff(func_def_8,type,
sunday: day ).
tff(func_def_9,type,
saturday: day ).
tff(pred_def_1,type,
all_on: day > $o ).
tff(pred_def_2,type,
on: ( person * day ) > $o ).
tff(pred_def_3,type,
consecutive: ( day * day ) > $o ).
tff(pred_def_4,type,
same_day: ( day * day ) > $o ).
tff(pred_def_5,type,
same_person: ( person * person ) > $o ).
tff(f249,plain,
$false,
inference(avatar_sat_refutation,[],[f135,f136,f142,f143,f144,f149,f232,f248]) ).
tff(f248,plain,
~ spl0_4,
inference(avatar_contradiction_clause,[],[f247]) ).
tff(f247,plain,
( $false
| ~ spl0_4 ),
inference(subsumption_resolution,[],[f241,f210]) ).
tff(f210,plain,
~ on(c,wednesday),
inference(unit_resulting_resolution,[],[f96,f95,f94,f183,f184,f60]) ).
tff(f60,plain,
! [X2: day,X3: day,X0: day,X1: day,X4: person] :
( ~ on(X4,X2)
| ~ on(X4,X1)
| ~ on(X4,X0)
| ~ consecutive(X2,X3)
| ~ consecutive(X1,X2)
| ~ consecutive(X0,X1) ),
inference(cnf_transformation,[],[f51]) ).
tff(f51,plain,
! [X0: day,X1: day,X2: day,X3: day,X4: person] :
( ~ on(X4,X2)
| ~ on(X4,X1)
| ~ on(X4,X0)
| ~ consecutive(X2,X3)
| ~ consecutive(X1,X2)
| ~ consecutive(X0,X1) ),
inference(ennf_transformation,[],[f40]) ).
tff(f40,axiom,
! [X0: day,X1: day,X2: day,X3: day,X4: person] :
~ ( on(X4,X2)
& on(X4,X1)
& on(X4,X0)
& consecutive(X2,X3)
& consecutive(X1,X2)
& consecutive(X0,X1) ),
file('/export/starexec/sandbox/tmp/tmp.T5qXeuUXWY/Vampire---4.8_25960',not_on_for_3_days) ).
tff(f184,plain,
on(c,thursday),
inference(unit_resulting_resolution,[],[f86,f64,f62,f67,f101,f61]) ).
tff(f61,plain,
! [X2: day,X3: person,X0: person,X1: day] :
( same_person(X0,X3)
| same_day(X1,X2)
| on(X3,X2)
| on(X3,X1)
| on(X0,X2)
| on(X0,X1) ),
inference(cnf_transformation,[],[f41]) ).
tff(f41,axiom,
! [X0: person,X1: day,X2: day,X3: person] :
( same_day(X1,X2)
| same_person(X0,X3)
| on(X3,X2)
| on(X3,X1)
| on(X0,X2)
| on(X0,X1) ),
file('/export/starexec/sandbox/tmp/tmp.T5qXeuUXWY/Vampire---4.8_25960',no_two_off_twice_together) ).
tff(f101,plain,
~ same_person(a,c),
inference(cnf_transformation,[],[f15]) ).
tff(f15,axiom,
~ same_person(a,c),
file('/export/starexec/sandbox/tmp/tmp.T5qXeuUXWY/Vampire---4.8_25960',a_not_c) ).
tff(f67,plain,
~ on(c,sunday),
inference(cnf_transformation,[],[f47]) ).
tff(f47,axiom,
~ on(c,sunday),
file('/export/starexec/sandbox/tmp/tmp.T5qXeuUXWY/Vampire---4.8_25960',c_off_sunday) ).
tff(f62,plain,
~ on(a,sunday),
inference(cnf_transformation,[],[f42]) ).
tff(f42,axiom,
~ on(a,sunday),
file('/export/starexec/sandbox/tmp/tmp.T5qXeuUXWY/Vampire---4.8_25960',a_off_sunday) ).
tff(f64,plain,
~ on(a,thursday),
inference(cnf_transformation,[],[f44]) ).
tff(f44,axiom,
~ on(a,thursday),
file('/export/starexec/sandbox/tmp/tmp.T5qXeuUXWY/Vampire---4.8_25960',a_off_thursday) ).
tff(f86,plain,
~ same_day(sunday,thursday),
inference(cnf_transformation,[],[f21]) ).
tff(f21,axiom,
~ same_day(sunday,thursday),
file('/export/starexec/sandbox/tmp/tmp.T5qXeuUXWY/Vampire---4.8_25960',sunday_not_thursday) ).
tff(f183,plain,
on(c,tuesday),
inference(unit_resulting_resolution,[],[f80,f63,f62,f67,f101,f61]) ).
tff(f63,plain,
~ on(a,tuesday),
inference(cnf_transformation,[],[f43]) ).
tff(f43,axiom,
~ on(a,tuesday),
file('/export/starexec/sandbox/tmp/tmp.T5qXeuUXWY/Vampire---4.8_25960',a_off_tuesday) ).
tff(f80,plain,
~ same_day(sunday,tuesday),
inference(cnf_transformation,[],[f19]) ).
tff(f19,axiom,
~ same_day(sunday,tuesday),
file('/export/starexec/sandbox/tmp/tmp.T5qXeuUXWY/Vampire---4.8_25960',sunday_not_tuesday) ).
tff(f94,plain,
consecutive(thursday,friday),
inference(cnf_transformation,[],[f10]) ).
tff(f10,axiom,
consecutive(thursday,friday),
file('/export/starexec/sandbox/tmp/tmp.T5qXeuUXWY/Vampire---4.8_25960',friday_follows_thursday) ).
tff(f95,plain,
consecutive(wednesday,thursday),
inference(cnf_transformation,[],[f9]) ).
tff(f9,axiom,
consecutive(wednesday,thursday),
file('/export/starexec/sandbox/tmp/tmp.T5qXeuUXWY/Vampire---4.8_25960',thursday_follows_wednesday) ).
tff(f96,plain,
consecutive(tuesday,wednesday),
inference(cnf_transformation,[],[f8]) ).
tff(f8,axiom,
consecutive(tuesday,wednesday),
file('/export/starexec/sandbox/tmp/tmp.T5qXeuUXWY/Vampire---4.8_25960',wednesday_follows_tuesday) ).
tff(f241,plain,
( on(c,wednesday)
| ~ spl0_4 ),
inference(unit_resulting_resolution,[],[f122,f106]) ).
tff(f106,plain,
! [X0: day] :
( on(c,X0)
| ~ all_on(X0) ),
inference(cnf_transformation,[],[f58]) ).
tff(f58,plain,
! [X0: day] :
( on(c,X0)
| ~ all_on(X0) ),
inference(ennf_transformation,[],[f3]) ).
tff(f3,axiom,
! [X0: day] :
( all_on(X0)
=> on(c,X0) ),
file('/export/starexec/sandbox/tmp/tmp.T5qXeuUXWY/Vampire---4.8_25960',all_on_c_on) ).
tff(f122,plain,
( all_on(wednesday)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f120]) ).
tff(f120,plain,
( spl0_4
<=> all_on(wednesday) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
tff(f232,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f231]) ).
tff(f231,plain,
( $false
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f225,f187]) ).
tff(f187,plain,
on(b,sunday),
inference(unit_resulting_resolution,[],[f62,f86,f64,f65,f102,f61]) ).
tff(f102,plain,
~ same_person(a,b),
inference(cnf_transformation,[],[f14]) ).
tff(f14,axiom,
~ same_person(a,b),
file('/export/starexec/sandbox/tmp/tmp.T5qXeuUXWY/Vampire---4.8_25960',a_not_b) ).
tff(f65,plain,
~ on(b,thursday),
inference(cnf_transformation,[],[f45]) ).
tff(f45,axiom,
~ on(b,thursday),
file('/export/starexec/sandbox/tmp/tmp.T5qXeuUXWY/Vampire---4.8_25960',b_off_thursday) ).
tff(f225,plain,
( ~ on(b,sunday)
| ~ spl0_2 ),
inference(unit_resulting_resolution,[],[f98,f96,f97,f145,f186,f60]) ).
tff(f186,plain,
on(b,tuesday),
inference(unit_resulting_resolution,[],[f63,f79,f64,f65,f102,f61]) ).
tff(f79,plain,
~ same_day(tuesday,thursday),
inference(cnf_transformation,[],[f30]) ).
tff(f30,axiom,
~ same_day(tuesday,thursday),
file('/export/starexec/sandbox/tmp/tmp.T5qXeuUXWY/Vampire---4.8_25960',tuesday_not_thursday) ).
tff(f145,plain,
( on(b,monday)
| ~ spl0_2 ),
inference(unit_resulting_resolution,[],[f114,f104]) ).
tff(f104,plain,
! [X0: day] :
( ~ all_on(X0)
| on(b,X0) ),
inference(cnf_transformation,[],[f55]) ).
tff(f55,plain,
! [X0: day] :
( on(b,X0)
| ~ all_on(X0) ),
inference(ennf_transformation,[],[f2]) ).
tff(f2,axiom,
! [X0: day] :
( all_on(X0)
=> on(b,X0) ),
file('/export/starexec/sandbox/tmp/tmp.T5qXeuUXWY/Vampire---4.8_25960',all_on_b_on) ).
tff(f114,plain,
( all_on(monday)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f112]) ).
tff(f112,plain,
( spl0_2
<=> all_on(monday) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
tff(f97,plain,
consecutive(monday,tuesday),
inference(cnf_transformation,[],[f7]) ).
tff(f7,axiom,
consecutive(monday,tuesday),
file('/export/starexec/sandbox/tmp/tmp.T5qXeuUXWY/Vampire---4.8_25960',tuesday_follows_monday) ).
tff(f98,plain,
consecutive(sunday,monday),
inference(cnf_transformation,[],[f6]) ).
tff(f6,axiom,
consecutive(sunday,monday),
file('/export/starexec/sandbox/tmp/tmp.T5qXeuUXWY/Vampire---4.8_25960',monday_follows_sunday) ).
tff(f149,plain,
~ spl0_7,
inference(avatar_split_clause,[],[f147,f132]) ).
tff(f132,plain,
( spl0_7
<=> all_on(saturday) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
tff(f147,plain,
~ all_on(saturday),
inference(unit_resulting_resolution,[],[f66,f104]) ).
tff(f66,plain,
~ on(b,saturday),
inference(cnf_transformation,[],[f46]) ).
tff(f46,axiom,
~ on(b,saturday),
file('/export/starexec/sandbox/tmp/tmp.T5qXeuUXWY/Vampire---4.8_25960',b_off_saturday) ).
tff(f144,plain,
~ spl0_1,
inference(avatar_split_clause,[],[f138,f108]) ).
tff(f108,plain,
( spl0_1
<=> all_on(sunday) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
tff(f138,plain,
~ all_on(sunday),
inference(unit_resulting_resolution,[],[f62,f70]) ).
tff(f70,plain,
! [X0: day] :
( ~ all_on(X0)
| on(a,X0) ),
inference(cnf_transformation,[],[f54]) ).
tff(f54,plain,
! [X0: day] :
( on(a,X0)
| ~ all_on(X0) ),
inference(ennf_transformation,[],[f1]) ).
tff(f1,axiom,
! [X0: day] :
( all_on(X0)
=> on(a,X0) ),
file('/export/starexec/sandbox/tmp/tmp.T5qXeuUXWY/Vampire---4.8_25960',all_on_a_on) ).
tff(f143,plain,
~ spl0_3,
inference(avatar_split_clause,[],[f139,f116]) ).
tff(f116,plain,
( spl0_3
<=> all_on(tuesday) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
tff(f139,plain,
~ all_on(tuesday),
inference(unit_resulting_resolution,[],[f63,f70]) ).
tff(f142,plain,
~ spl0_5,
inference(avatar_split_clause,[],[f140,f124]) ).
tff(f124,plain,
( spl0_5
<=> all_on(thursday) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
tff(f140,plain,
~ all_on(thursday),
inference(unit_resulting_resolution,[],[f64,f70]) ).
tff(f136,plain,
~ spl0_6,
inference(avatar_split_clause,[],[f68,f128]) ).
tff(f128,plain,
( spl0_6
<=> all_on(friday) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
tff(f68,plain,
~ all_on(friday),
inference(cnf_transformation,[],[f50]) ).
tff(f50,plain,
~ all_on(friday),
inference(flattening,[],[f49]) ).
tff(f49,negated_conjecture,
~ all_on(friday),
inference(negated_conjecture,[],[f48]) ).
tff(f48,conjecture,
all_on(friday),
file('/export/starexec/sandbox/tmp/tmp.T5qXeuUXWY/Vampire---4.8_25960',prove_all_on_friday) ).
tff(f135,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4
| spl0_5
| spl0_6
| spl0_7 ),
inference(avatar_split_clause,[],[f59,f132,f128,f124,f120,f116,f112,f108]) ).
tff(f59,plain,
( all_on(saturday)
| all_on(friday)
| all_on(thursday)
| all_on(wednesday)
| all_on(tuesday)
| all_on(monday)
| all_on(sunday) ),
inference(cnf_transformation,[],[f39]) ).
tff(f39,axiom,
( all_on(saturday)
| all_on(friday)
| all_on(thursday)
| all_on(wednesday)
| all_on(tuesday)
| all_on(monday)
| all_on(sunday) ),
file('/export/starexec/sandbox/tmp/tmp.T5qXeuUXWY/Vampire---4.8_25960',all_on_one_day) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : PUZ018_1 : TPTP v8.1.2. Bugfixed v5.0.0.
% 0.11/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.36 % Computer : n025.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Tue Apr 30 17:43:56 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a TF0_THM_NEQ_NAR problem
% 0.15/0.36 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.T5qXeuUXWY/Vampire---4.8_25960
% 0.74/0.90 % (26298)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2994ds/34Mi)
% 0.74/0.90 % (26294)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2994ds/34Mi)
% 0.74/0.90 % (26297)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2994ds/33Mi)
% 0.74/0.90 % (26299)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2994ds/45Mi)
% 0.74/0.90 % (26295)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2994ds/51Mi)
% 0.74/0.90 % (26300)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2994ds/83Mi)
% 0.74/0.90 % (26296)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2994ds/78Mi)
% 0.74/0.90 % (26301)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2994ds/56Mi)
% 0.74/0.91 % (26297)First to succeed.
% 0.74/0.91 % (26297)Refutation found. Thanks to Tanya!
% 0.74/0.91 % SZS status Theorem for Vampire---4
% 0.74/0.91 % SZS output start Proof for Vampire---4
% See solution above
% 0.74/0.91 % (26297)------------------------------
% 0.74/0.91 % (26297)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.74/0.91 % (26297)Termination reason: Refutation
% 0.74/0.91
% 0.74/0.91 % (26297)Memory used [KB]: 1092
% 0.74/0.91 % (26297)Time elapsed: 0.008 s
% 0.74/0.91 % (26297)Instructions burned: 9 (million)
% 0.74/0.91 % (26297)------------------------------
% 0.74/0.91 % (26297)------------------------------
% 0.74/0.91 % (26215)Success in time 0.544 s
% 0.74/0.91 % Vampire---4.8 exiting
%------------------------------------------------------------------------------