TSTP Solution File: PUZ018_1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : PUZ018_1 : TPTP v8.1.0. Bugfixed v5.0.0.
% 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 : n003.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 : Theorem 0.15s 0.49s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 47
% Syntax : Number of formulae : 103 ( 53 unt; 17 typ; 0 def)
% Number of atoms : 162 ( 0 equ)
% Maximal formula atoms : 7 ( 1 avg)
% Number of connectives : 141 ( 65 ~; 56 |; 10 &)
% ( 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 : 41 ( 41 !; 0 ?; 41 :)
% 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(f315,plain,
$false,
inference(avatar_sat_refutation,[],[f138,f139,f168,f189,f261,f263,f310,f314]) ).
tff(f314,plain,
~ spl0_1,
inference(avatar_split_clause,[],[f201,f111]) ).
tff(f111,plain,
( spl0_1
<=> all_on(thursday) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
tff(f201,plain,
~ all_on(thursday),
inference(unit_resulting_resolution,[],[f96,f85]) ).
tff(f85,plain,
! [X0: day] :
( on(b,X0)
| ~ all_on(X0) ),
inference(cnf_transformation,[],[f56]) ).
tff(f56,plain,
! [X0: day] :
( ~ all_on(X0)
| on(b,X0) ),
inference(ennf_transformation,[],[f2]) ).
tff(f2,axiom,
! [X0: day] :
( all_on(X0)
=> on(b,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',all_on_b_on) ).
tff(f96,plain,
~ on(b,thursday),
inference(cnf_transformation,[],[f45]) ).
tff(f45,axiom,
~ on(b,thursday),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_off_thursday) ).
tff(f310,plain,
~ spl0_7,
inference(avatar_contradiction_clause,[],[f309]) ).
tff(f309,plain,
( $false
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f294,f216]) ).
tff(f216,plain,
on(c,thursday),
inference(unit_resulting_resolution,[],[f88,f104,f92,f101,f90,f74]) ).
tff(f74,plain,
! [X2: person,X3: day,X0: day,X1: person] :
( same_person(X2,X1)
| same_day(X3,X0)
| on(X1,X3)
| on(X1,X0)
| on(X2,X0)
| on(X2,X3) ),
inference(cnf_transformation,[],[f50]) ).
tff(f50,plain,
! [X1: person,X3: day,X2: person,X0: day] :
( same_person(X2,X1)
| on(X1,X3)
| on(X2,X0)
| on(X1,X0)
| on(X2,X3)
| same_day(X3,X0) ),
inference(rectify,[],[f41]) ).
tff(f41,axiom,
! [X2: day,X3: person,X0: person,X1: day] :
( same_day(X1,X2)
| same_person(X0,X3)
| on(X0,X1)
| on(X0,X2)
| on(X3,X2)
| on(X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',no_two_off_twice_together) ).
tff(f90,plain,
~ same_person(a,c),
inference(cnf_transformation,[],[f15]) ).
tff(f15,axiom,
~ same_person(a,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_not_c) ).
tff(f101,plain,
~ on(c,sunday),
inference(cnf_transformation,[],[f47]) ).
tff(f47,axiom,
~ on(c,sunday),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_off_sunday) ).
tff(f92,plain,
~ on(a,sunday),
inference(cnf_transformation,[],[f42]) ).
tff(f42,axiom,
~ on(a,sunday),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_off_sunday) ).
tff(f104,plain,
~ on(a,thursday),
inference(cnf_transformation,[],[f44]) ).
tff(f44,axiom,
~ on(a,thursday),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_off_thursday) ).
tff(f88,plain,
~ same_day(sunday,thursday),
inference(cnf_transformation,[],[f21]) ).
tff(f21,axiom,
~ same_day(sunday,thursday),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sunday_not_thursday) ).
tff(f294,plain,
( ~ on(c,thursday)
| ~ spl0_7 ),
inference(unit_resulting_resolution,[],[f80,f63,f215,f107,f265,f102]) ).
tff(f102,plain,
! [X2: day,X3: day,X0: day,X1: day,X4: person] :
( ~ consecutive(X2,X3)
| ~ on(X4,X0)
| ~ consecutive(X0,X2)
| ~ on(X4,X1)
| ~ consecutive(X1,X0)
| ~ on(X4,X2) ),
inference(cnf_transformation,[],[f61]) ).
tff(f61,plain,
! [X2: day,X0: day,X4: person,X3: day,X1: day] :
( ~ on(X4,X2)
| ~ on(X4,X1)
| ~ consecutive(X0,X2)
| ~ consecutive(X1,X0)
| ~ consecutive(X2,X3)
| ~ on(X4,X0) ),
inference(ennf_transformation,[],[f52]) ).
tff(f52,plain,
! [X3: day,X0: day,X2: day,X4: person,X1: day] :
~ ( on(X4,X2)
& consecutive(X2,X3)
& on(X4,X0)
& consecutive(X0,X2)
& on(X4,X1)
& consecutive(X1,X0) ),
inference(rectify,[],[f40]) ).
tff(f40,axiom,
! [X1: day,X0: day,X2: day,X3: day,X4: person] :
~ ( consecutive(X0,X1)
& on(X4,X0)
& consecutive(X2,X3)
& consecutive(X1,X2)
& on(X4,X1)
& on(X4,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_on_for_3_days) ).
tff(f265,plain,
( on(c,wednesday)
| ~ spl0_7 ),
inference(unit_resulting_resolution,[],[f137,f97]) ).
tff(f97,plain,
! [X0: day] :
( on(c,X0)
| ~ all_on(X0) ),
inference(cnf_transformation,[],[f60]) ).
tff(f60,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/sandbox2/benchmark/theBenchmark.p',all_on_c_on) ).
tff(f137,plain,
( all_on(wednesday)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f135]) ).
tff(f135,plain,
( spl0_7
<=> all_on(wednesday) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
tff(f107,plain,
consecutive(wednesday,thursday),
inference(cnf_transformation,[],[f9]) ).
tff(f9,axiom,
consecutive(wednesday,thursday),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thursday_follows_wednesday) ).
tff(f215,plain,
on(c,tuesday),
inference(unit_resulting_resolution,[],[f108,f64,f92,f101,f90,f74]) ).
tff(f64,plain,
~ on(a,tuesday),
inference(cnf_transformation,[],[f43]) ).
tff(f43,axiom,
~ on(a,tuesday),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_off_tuesday) ).
tff(f108,plain,
~ same_day(sunday,tuesday),
inference(cnf_transformation,[],[f19]) ).
tff(f19,axiom,
~ same_day(sunday,tuesday),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sunday_not_tuesday) ).
tff(f63,plain,
consecutive(tuesday,wednesday),
inference(cnf_transformation,[],[f8]) ).
tff(f8,axiom,
consecutive(tuesday,wednesday),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wednesday_follows_tuesday) ).
tff(f80,plain,
consecutive(thursday,friday),
inference(cnf_transformation,[],[f10]) ).
tff(f10,axiom,
consecutive(thursday,friday),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',friday_follows_thursday) ).
tff(f263,plain,
~ spl0_6,
inference(avatar_split_clause,[],[f158,f131]) ).
tff(f131,plain,
( spl0_6
<=> all_on(tuesday) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
tff(f158,plain,
~ all_on(tuesday),
inference(resolution,[],[f64,f77]) ).
tff(f77,plain,
! [X0: day] :
( on(a,X0)
| ~ all_on(X0) ),
inference(cnf_transformation,[],[f59]) ).
tff(f59,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/sandbox2/benchmark/theBenchmark.p',all_on_a_on) ).
tff(f261,plain,
~ spl0_5,
inference(avatar_contradiction_clause,[],[f260]) ).
tff(f260,plain,
( $false
| ~ spl0_5 ),
inference(subsumption_resolution,[],[f240,f192]) ).
tff(f192,plain,
( on(b,monday)
| ~ spl0_5 ),
inference(unit_resulting_resolution,[],[f129,f85]) ).
tff(f129,plain,
( all_on(monday)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f127]) ).
tff(f127,plain,
( spl0_5
<=> all_on(monday) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
tff(f240,plain,
~ on(b,monday),
inference(unit_resulting_resolution,[],[f63,f211,f81,f98,f212,f102]) ).
tff(f212,plain,
on(b,sunday),
inference(unit_resulting_resolution,[],[f92,f88,f104,f96,f100,f74]) ).
tff(f100,plain,
~ same_person(a,b),
inference(cnf_transformation,[],[f14]) ).
tff(f14,axiom,
~ same_person(a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_not_b) ).
tff(f98,plain,
consecutive(sunday,monday),
inference(cnf_transformation,[],[f6]) ).
tff(f6,axiom,
consecutive(sunday,monday),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',monday_follows_sunday) ).
tff(f81,plain,
consecutive(monday,tuesday),
inference(cnf_transformation,[],[f7]) ).
tff(f7,axiom,
consecutive(monday,tuesday),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tuesday_follows_monday) ).
tff(f211,plain,
on(b,tuesday),
inference(unit_resulting_resolution,[],[f64,f62,f104,f96,f100,f74]) ).
tff(f62,plain,
~ same_day(tuesday,thursday),
inference(cnf_transformation,[],[f30]) ).
tff(f30,axiom,
~ same_day(tuesday,thursday),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tuesday_not_thursday) ).
tff(f189,plain,
~ spl0_4,
inference(avatar_split_clause,[],[f180,f123]) ).
tff(f123,plain,
( spl0_4
<=> all_on(sunday) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
tff(f180,plain,
~ all_on(sunday),
inference(unit_resulting_resolution,[],[f92,f77]) ).
tff(f168,plain,
~ spl0_2,
inference(avatar_split_clause,[],[f161,f115]) ).
tff(f115,plain,
( spl0_2
<=> all_on(saturday) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
tff(f161,plain,
~ all_on(saturday),
inference(resolution,[],[f69,f85]) ).
tff(f69,plain,
~ on(b,saturday),
inference(cnf_transformation,[],[f46]) ).
tff(f46,axiom,
~ on(b,saturday),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_off_saturday) ).
tff(f139,plain,
~ spl0_3,
inference(avatar_split_clause,[],[f73,f119]) ).
tff(f119,plain,
( spl0_3
<=> all_on(friday) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
tff(f73,plain,
~ all_on(friday),
inference(cnf_transformation,[],[f51]) ).
tff(f51,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/sandbox2/benchmark/theBenchmark.p',prove_all_on_friday) ).
tff(f138,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4
| spl0_5
| spl0_6
| spl0_7 ),
inference(avatar_split_clause,[],[f76,f135,f131,f127,f123,f119,f115,f111]) ).
tff(f76,plain,
( all_on(wednesday)
| all_on(tuesday)
| all_on(monday)
| all_on(sunday)
| all_on(friday)
| all_on(saturday)
| all_on(thursday) ),
inference(cnf_transformation,[],[f39]) ).
tff(f39,axiom,
( all_on(tuesday)
| all_on(sunday)
| all_on(saturday)
| all_on(monday)
| all_on(friday)
| all_on(thursday)
| all_on(wednesday) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',all_on_one_day) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : PUZ018_1 : TPTP v8.1.0. Bugfixed v5.0.0.
% 0.09/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.10/0.32 % Computer : n003.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Tue Aug 30 10:37:07 EDT 2022
% 0.10/0.32 % CPUTime :
% 0.15/0.47 % (16180)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.15/0.48 % (16180)First to succeed.
% 0.15/0.49 % (16179)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.15/0.49 % (16188)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.15/0.49 % (16180)Refutation found. Thanks to Tanya!
% 0.15/0.49 % SZS status Theorem for theBenchmark
% 0.15/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.49 % (16180)------------------------------
% 0.15/0.49 % (16180)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.49 % (16180)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.49 % (16180)Termination reason: Refutation
% 0.15/0.49
% 0.15/0.49 % (16180)Memory used [KB]: 6140
% 0.15/0.49 % (16180)Time elapsed: 0.102 s
% 0.15/0.49 % (16180)Instructions burned: 9 (million)
% 0.15/0.49 % (16180)------------------------------
% 0.15/0.49 % (16180)------------------------------
% 0.15/0.49 % (16171)Success in time 0.164 s
%------------------------------------------------------------------------------