TSTP Solution File: PUZ018-1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : PUZ018-1 : TPTP v8.1.0. Bugfixed v1.2.0.
% 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 : n005.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 18:10:42 EDT 2022
% Result : Unsatisfiable 0.20s 0.53s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 34
% Syntax : Number of formulae : 99 ( 30 unt; 0 def)
% Number of atoms : 229 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 225 ( 95 ~; 119 |; 0 &)
% ( 11 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 17 ( 16 usr; 12 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 10 con; 0-0 aty)
% Number of variables : 28 ( 28 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f337,plain,
$false,
inference(avatar_sat_refutation,[],[f74,f77,f169,f173,f221,f225,f266,f296,f301,f307,f330,f336]) ).
fof(f336,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f335]) ).
fof(f335,plain,
( $false
| ~ spl0_1 ),
inference(subsumption_resolution,[],[f333,f46]) ).
fof(f46,axiom,
~ on(b,saturday),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_off_saturday) ).
fof(f333,plain,
( on(b,saturday)
| ~ spl0_1 ),
inference(resolution,[],[f53,f2]) ).
fof(f2,axiom,
! [X0] :
( ~ all_on(X0)
| on(b,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',all_on_b_on) ).
fof(f53,plain,
( all_on(saturday)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f51]) ).
fof(f51,plain,
( spl0_1
<=> all_on(saturday) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f330,plain,
( ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(avatar_contradiction_clause,[],[f329]) ).
fof(f329,plain,
( $false
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(subsumption_resolution,[],[f328,f205]) ).
fof(f205,plain,
( on(c,wednesday)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f203]) ).
fof(f203,plain,
( spl0_13
<=> on(c,wednesday) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f328,plain,
( ~ on(c,wednesday)
| ~ spl0_14
| ~ spl0_15 ),
inference(subsumption_resolution,[],[f327,f212]) ).
fof(f212,plain,
( on(c,tuesday)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f210]) ).
fof(f210,plain,
( spl0_14
<=> on(c,tuesday) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f327,plain,
( ~ on(c,tuesday)
| ~ on(c,wednesday)
| ~ spl0_15 ),
inference(resolution,[],[f325,f216]) ).
fof(f216,plain,
( on(c,thursday)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f214]) ).
fof(f214,plain,
( spl0_15
<=> on(c,thursday) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f325,plain,
! [X0] :
( ~ on(X0,thursday)
| ~ on(X0,tuesday)
| ~ on(X0,wednesday) ),
inference(resolution,[],[f102,f8]) ).
fof(f8,axiom,
consecutive(tuesday,wednesday),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wednesday_follows_tuesday) ).
fof(f102,plain,
! [X0,X1] :
( ~ consecutive(X0,wednesday)
| ~ on(X1,X0)
| ~ on(X1,thursday)
| ~ on(X1,wednesday) ),
inference(resolution,[],[f88,f9]) ).
fof(f9,axiom,
consecutive(wednesday,thursday),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thursday_follows_wednesday) ).
fof(f88,plain,
! [X14,X12,X13] :
( ~ consecutive(X14,thursday)
| ~ consecutive(X13,X14)
| ~ on(X12,X13)
| ~ on(X12,thursday)
| ~ on(X12,X14) ),
inference(resolution,[],[f40,f10]) ).
fof(f10,axiom,
consecutive(thursday,friday),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',friday_follows_thursday) ).
fof(f40,axiom,
! [X2,X3,X0,X1,X4] :
( ~ consecutive(X2,X3)
| ~ on(X4,X0)
| ~ consecutive(X1,X2)
| ~ consecutive(X0,X1)
| ~ on(X4,X2)
| ~ on(X4,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_on_for_3_days) ).
fof(f307,plain,
~ spl0_6,
inference(avatar_contradiction_clause,[],[f306]) ).
fof(f306,plain,
( $false
| ~ spl0_6 ),
inference(subsumption_resolution,[],[f305,f43]) ).
fof(f43,axiom,
~ on(a,tuesday),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_off_tuesday) ).
fof(f305,plain,
( on(a,tuesday)
| ~ spl0_6 ),
inference(resolution,[],[f73,f1]) ).
fof(f1,axiom,
! [X0] :
( ~ all_on(X0)
| on(a,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',all_on_a_on) ).
fof(f73,plain,
( all_on(tuesday)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f71]) ).
fof(f71,plain,
( spl0_6
<=> all_on(tuesday) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f301,plain,
( spl0_13
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f298,f67,f203]) ).
fof(f67,plain,
( spl0_5
<=> all_on(wednesday) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f298,plain,
( on(c,wednesday)
| ~ spl0_5 ),
inference(resolution,[],[f69,f3]) ).
fof(f3,axiom,
! [X0] :
( ~ all_on(X0)
| on(c,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',all_on_c_on) ).
fof(f69,plain,
( all_on(wednesday)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f67]) ).
fof(f296,plain,
~ spl0_4,
inference(avatar_contradiction_clause,[],[f295]) ).
fof(f295,plain,
( $false
| ~ spl0_4 ),
inference(subsumption_resolution,[],[f291,f45]) ).
fof(f45,axiom,
~ on(b,thursday),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_off_thursday) ).
fof(f291,plain,
( on(b,thursday)
| ~ spl0_4 ),
inference(resolution,[],[f65,f2]) ).
fof(f65,plain,
( all_on(thursday)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f63]) ).
fof(f63,plain,
( spl0_4
<=> all_on(thursday) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f266,plain,
( ~ spl0_3
| ~ spl0_7
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f265]) ).
fof(f265,plain,
( $false
| ~ spl0_3
| ~ spl0_7
| ~ spl0_8 ),
inference(subsumption_resolution,[],[f264,f138]) ).
fof(f138,plain,
( on(b,sunday)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f136]) ).
fof(f136,plain,
( spl0_8
<=> on(b,sunday) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f264,plain,
( ~ on(b,sunday)
| ~ spl0_3
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f263,f79]) ).
fof(f79,plain,
( on(b,monday)
| ~ spl0_3 ),
inference(resolution,[],[f2,f61]) ).
fof(f61,plain,
( all_on(monday)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f59]) ).
fof(f59,plain,
( spl0_3
<=> all_on(monday) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f263,plain,
( ~ on(b,monday)
| ~ on(b,sunday)
| ~ spl0_7 ),
inference(resolution,[],[f134,f100]) ).
fof(f100,plain,
! [X0] :
( ~ on(X0,tuesday)
| ~ on(X0,sunday)
| ~ on(X0,monday) ),
inference(resolution,[],[f98,f6]) ).
fof(f6,axiom,
consecutive(sunday,monday),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',monday_follows_sunday) ).
fof(f98,plain,
! [X0,X1] :
( ~ consecutive(X1,monday)
| ~ on(X0,monday)
| ~ on(X0,tuesday)
| ~ on(X0,X1) ),
inference(resolution,[],[f86,f7]) ).
fof(f7,axiom,
consecutive(monday,tuesday),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tuesday_follows_monday) ).
fof(f86,plain,
! [X8,X6,X7] :
( ~ consecutive(X8,tuesday)
| ~ on(X6,X7)
| ~ consecutive(X7,X8)
| ~ on(X6,X8)
| ~ on(X6,tuesday) ),
inference(resolution,[],[f40,f8]) ).
fof(f134,plain,
( on(b,tuesday)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f132]) ).
fof(f132,plain,
( spl0_7
<=> on(b,tuesday) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f225,plain,
spl0_14,
inference(avatar_split_clause,[],[f224,f210]) ).
fof(f224,plain,
on(c,tuesday),
inference(subsumption_resolution,[],[f223,f42]) ).
fof(f42,axiom,
~ on(a,sunday),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_off_sunday) ).
fof(f223,plain,
( on(c,tuesday)
| on(a,sunday) ),
inference(subsumption_resolution,[],[f222,f43]) ).
fof(f222,plain,
( on(c,tuesday)
| on(a,tuesday)
| on(a,sunday) ),
inference(subsumption_resolution,[],[f180,f47]) ).
fof(f47,axiom,
~ on(c,sunday),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_off_sunday) ).
fof(f180,plain,
( on(c,tuesday)
| on(c,sunday)
| on(a,tuesday)
| on(a,sunday) ),
inference(resolution,[],[f96,f19]) ).
fof(f19,axiom,
~ same_day(sunday,tuesday),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sunday_not_tuesday) ).
fof(f96,plain,
! [X2,X3] :
( same_day(X3,X2)
| on(c,X3)
| on(c,X2)
| on(a,X2)
| on(a,X3) ),
inference(resolution,[],[f41,f15]) ).
fof(f15,axiom,
~ same_person(a,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_not_c) ).
fof(f41,axiom,
! [X2,X3,X0,X1] :
( same_person(X0,X3)
| on(X3,X2)
| same_day(X1,X2)
| on(X0,X1)
| on(X3,X1)
| on(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',no_two_off_twice_together) ).
fof(f221,plain,
spl0_15,
inference(avatar_split_clause,[],[f220,f214]) ).
fof(f220,plain,
on(c,thursday),
inference(subsumption_resolution,[],[f219,f42]) ).
fof(f219,plain,
( on(c,thursday)
| on(a,sunday) ),
inference(subsumption_resolution,[],[f218,f47]) ).
fof(f218,plain,
( on(c,thursday)
| on(c,sunday)
| on(a,sunday) ),
inference(subsumption_resolution,[],[f182,f44]) ).
fof(f44,axiom,
~ on(a,thursday),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_off_thursday) ).
fof(f182,plain,
( on(c,thursday)
| on(a,thursday)
| on(a,sunday)
| on(c,sunday) ),
inference(resolution,[],[f96,f21]) ).
fof(f21,axiom,
~ same_day(sunday,thursday),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sunday_not_thursday) ).
fof(f173,plain,
spl0_7,
inference(avatar_split_clause,[],[f172,f132]) ).
fof(f172,plain,
on(b,tuesday),
inference(subsumption_resolution,[],[f171,f44]) ).
fof(f171,plain,
( on(b,tuesday)
| on(a,thursday) ),
inference(subsumption_resolution,[],[f170,f43]) ).
fof(f170,plain,
( on(a,tuesday)
| on(b,tuesday)
| on(a,thursday) ),
inference(subsumption_resolution,[],[f117,f45]) ).
fof(f117,plain,
( on(b,tuesday)
| on(b,thursday)
| on(a,tuesday)
| on(a,thursday) ),
inference(resolution,[],[f95,f30]) ).
fof(f30,axiom,
~ same_day(tuesday,thursday),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tuesday_not_thursday) ).
fof(f95,plain,
! [X0,X1] :
( same_day(X1,X0)
| on(a,X0)
| on(b,X1)
| on(b,X0)
| on(a,X1) ),
inference(resolution,[],[f41,f14]) ).
fof(f14,axiom,
~ same_person(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_not_b) ).
fof(f169,plain,
spl0_8,
inference(avatar_split_clause,[],[f168,f136]) ).
fof(f168,plain,
on(b,sunday),
inference(subsumption_resolution,[],[f167,f44]) ).
fof(f167,plain,
( on(a,thursday)
| on(b,sunday) ),
inference(subsumption_resolution,[],[f166,f42]) ).
fof(f166,plain,
( on(a,sunday)
| on(b,sunday)
| on(a,thursday) ),
inference(subsumption_resolution,[],[f108,f45]) ).
fof(f108,plain,
( on(b,thursday)
| on(b,sunday)
| on(a,sunday)
| on(a,thursday) ),
inference(resolution,[],[f95,f21]) ).
fof(f77,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f76]) ).
fof(f76,plain,
( $false
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f75,f42]) ).
fof(f75,plain,
( on(a,sunday)
| ~ spl0_2 ),
inference(resolution,[],[f1,f57]) ).
fof(f57,plain,
( all_on(sunday)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f55]) ).
fof(f55,plain,
( spl0_2
<=> all_on(sunday) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f74,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4
| spl0_5
| spl0_6 ),
inference(avatar_split_clause,[],[f49,f71,f67,f63,f59,f55,f51]) ).
fof(f49,plain,
( all_on(tuesday)
| all_on(wednesday)
| all_on(thursday)
| all_on(monday)
| all_on(sunday)
| all_on(saturday) ),
inference(subsumption_resolution,[],[f39,f48]) ).
fof(f48,axiom,
~ all_on(friday),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_all_on_friday) ).
fof(f39,axiom,
( all_on(wednesday)
| all_on(thursday)
| all_on(saturday)
| all_on(tuesday)
| all_on(friday)
| all_on(sunday)
| all_on(monday) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',all_on_one_day) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : PUZ018-1 : TPTP v8.1.0. Bugfixed v1.2.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.35 % Computer : n005.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % 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 10:37:33 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.52 % (30523)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.20/0.53 % (30523)First to succeed.
% 0.20/0.53 % (30530)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.20/0.53 % (30523)Refutation found. Thanks to Tanya!
% 0.20/0.53 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.54 % (30523)------------------------------
% 0.20/0.54 % (30523)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (30523)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (30523)Termination reason: Refutation
% 0.20/0.54
% 0.20/0.54 % (30523)Memory used [KB]: 6012
% 0.20/0.54 % (30523)Time elapsed: 0.105 s
% 0.20/0.54 % (30523)Instructions burned: 6 (million)
% 0.20/0.54 % (30523)------------------------------
% 0.20/0.54 % (30523)------------------------------
% 0.20/0.54 % (30519)Success in time 0.177 s
%------------------------------------------------------------------------------