TSTP Solution File: PUZ018-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : PUZ018-1 : TPTP v8.1.2. Bugfixed v1.2.0.
% 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 : n013.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   : Unsatisfiable 0.63s 0.80s
% Output   : Refutation 0.63s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   30
% Syntax   : Number of formulae    :   55 (  34 unt;   0 def)
%            Number of atoms       :   94 (   0 equ)
%            Maximal formula atoms :    7 (   1 avg)
%            Number of connectives :   80 (  41   ~;  32   |;   0   &)
%                                         (   7 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            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   :   12 (  12   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f199,plain,
    $false,
    inference(avatar_sat_refutation,[],[f77,f78,f84,f85,f86,f91,f146,f191]) ).

fof(f191,plain,
    ~ spl0_4,
    inference(avatar_contradiction_clause,[],[f190]) ).

fof(f190,plain,
    ( $false
    | ~ spl0_4 ),
    inference(subsumption_resolution,[],[f188,f162]) ).

fof(f162,plain,
    ( on(c,wednesday)
    | ~ spl0_4 ),
    inference(unit_resulting_resolution,[],[f64,f3]) ).

fof(f3,axiom,
    ! [X0] :
      ( on(c,X0)
      | ~ all_on(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.ApIPINVIb1/Vampire---4.8_1022',all_on_c_on) ).

fof(f64,plain,
    ( all_on(wednesday)
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f62]) ).

fof(f62,plain,
    ( spl0_4
  <=> all_on(wednesday) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f188,plain,
    ~ on(c,wednesday),
    inference(unit_resulting_resolution,[],[f8,f9,f10,f129,f130,f40]) ).

fof(f40,axiom,
    ! [X2,X3,X0,X1,X4] :
      ( ~ on(X4,X2)
      | ~ on(X4,X1)
      | ~ on(X4,X0)
      | ~ consecutive(X2,X3)
      | ~ consecutive(X1,X2)
      | ~ consecutive(X0,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.ApIPINVIb1/Vampire---4.8_1022',not_on_for_3_days) ).

fof(f130,plain,
    on(c,thursday),
    inference(unit_resulting_resolution,[],[f21,f44,f42,f47,f15,f41]) ).

fof(f41,axiom,
    ! [X2,X3,X0,X1] :
      ( same_person(X0,X3)
      | same_day(X1,X2)
      | on(X3,X2)
      | on(X3,X1)
      | on(X0,X2)
      | on(X0,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.ApIPINVIb1/Vampire---4.8_1022',no_two_off_twice_together) ).

fof(f15,axiom,
    ~ same_person(a,c),
    file('/export/starexec/sandbox/tmp/tmp.ApIPINVIb1/Vampire---4.8_1022',a_not_c) ).

fof(f47,axiom,
    ~ on(c,sunday),
    file('/export/starexec/sandbox/tmp/tmp.ApIPINVIb1/Vampire---4.8_1022',c_off_sunday) ).

fof(f42,axiom,
    ~ on(a,sunday),
    file('/export/starexec/sandbox/tmp/tmp.ApIPINVIb1/Vampire---4.8_1022',a_off_sunday) ).

fof(f44,axiom,
    ~ on(a,thursday),
    file('/export/starexec/sandbox/tmp/tmp.ApIPINVIb1/Vampire---4.8_1022',a_off_thursday) ).

fof(f21,axiom,
    ~ same_day(sunday,thursday),
    file('/export/starexec/sandbox/tmp/tmp.ApIPINVIb1/Vampire---4.8_1022',sunday_not_thursday) ).

fof(f129,plain,
    on(c,tuesday),
    inference(unit_resulting_resolution,[],[f19,f43,f42,f47,f15,f41]) ).

fof(f43,axiom,
    ~ on(a,tuesday),
    file('/export/starexec/sandbox/tmp/tmp.ApIPINVIb1/Vampire---4.8_1022',a_off_tuesday) ).

fof(f19,axiom,
    ~ same_day(sunday,tuesday),
    file('/export/starexec/sandbox/tmp/tmp.ApIPINVIb1/Vampire---4.8_1022',sunday_not_tuesday) ).

fof(f10,axiom,
    consecutive(thursday,friday),
    file('/export/starexec/sandbox/tmp/tmp.ApIPINVIb1/Vampire---4.8_1022',friday_follows_thursday) ).

fof(f9,axiom,
    consecutive(wednesday,thursday),
    file('/export/starexec/sandbox/tmp/tmp.ApIPINVIb1/Vampire---4.8_1022',thursday_follows_wednesday) ).

fof(f8,axiom,
    consecutive(tuesday,wednesday),
    file('/export/starexec/sandbox/tmp/tmp.ApIPINVIb1/Vampire---4.8_1022',wednesday_follows_tuesday) ).

fof(f146,plain,
    ~ spl0_2,
    inference(avatar_contradiction_clause,[],[f145]) ).

fof(f145,plain,
    ( $false
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f137,f126]) ).

fof(f126,plain,
    on(b,tuesday),
    inference(unit_resulting_resolution,[],[f43,f30,f44,f45,f14,f41]) ).

fof(f14,axiom,
    ~ same_person(a,b),
    file('/export/starexec/sandbox/tmp/tmp.ApIPINVIb1/Vampire---4.8_1022',a_not_b) ).

fof(f45,axiom,
    ~ on(b,thursday),
    file('/export/starexec/sandbox/tmp/tmp.ApIPINVIb1/Vampire---4.8_1022',b_off_thursday) ).

fof(f30,axiom,
    ~ same_day(tuesday,thursday),
    file('/export/starexec/sandbox/tmp/tmp.ApIPINVIb1/Vampire---4.8_1022',tuesday_not_thursday) ).

fof(f137,plain,
    ( ~ on(b,tuesday)
    | ~ spl0_2 ),
    inference(unit_resulting_resolution,[],[f8,f7,f6,f87,f125,f40]) ).

fof(f125,plain,
    on(b,sunday),
    inference(unit_resulting_resolution,[],[f42,f21,f44,f45,f14,f41]) ).

fof(f87,plain,
    ( on(b,monday)
    | ~ spl0_2 ),
    inference(unit_resulting_resolution,[],[f56,f2]) ).

fof(f2,axiom,
    ! [X0] :
      ( ~ all_on(X0)
      | on(b,X0) ),
    file('/export/starexec/sandbox/tmp/tmp.ApIPINVIb1/Vampire---4.8_1022',all_on_b_on) ).

fof(f56,plain,
    ( all_on(monday)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f54]) ).

fof(f54,plain,
    ( spl0_2
  <=> all_on(monday) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f6,axiom,
    consecutive(sunday,monday),
    file('/export/starexec/sandbox/tmp/tmp.ApIPINVIb1/Vampire---4.8_1022',monday_follows_sunday) ).

fof(f7,axiom,
    consecutive(monday,tuesday),
    file('/export/starexec/sandbox/tmp/tmp.ApIPINVIb1/Vampire---4.8_1022',tuesday_follows_monday) ).

fof(f91,plain,
    ~ spl0_7,
    inference(avatar_split_clause,[],[f89,f74]) ).

fof(f74,plain,
    ( spl0_7
  <=> all_on(saturday) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f89,plain,
    ~ all_on(saturday),
    inference(unit_resulting_resolution,[],[f46,f2]) ).

fof(f46,axiom,
    ~ on(b,saturday),
    file('/export/starexec/sandbox/tmp/tmp.ApIPINVIb1/Vampire---4.8_1022',b_off_saturday) ).

fof(f86,plain,
    ~ spl0_1,
    inference(avatar_split_clause,[],[f80,f50]) ).

fof(f50,plain,
    ( spl0_1
  <=> all_on(sunday) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f80,plain,
    ~ all_on(sunday),
    inference(unit_resulting_resolution,[],[f42,f1]) ).

fof(f1,axiom,
    ! [X0] :
      ( ~ all_on(X0)
      | on(a,X0) ),
    file('/export/starexec/sandbox/tmp/tmp.ApIPINVIb1/Vampire---4.8_1022',all_on_a_on) ).

fof(f85,plain,
    ~ spl0_3,
    inference(avatar_split_clause,[],[f81,f58]) ).

fof(f58,plain,
    ( spl0_3
  <=> all_on(tuesday) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f81,plain,
    ~ all_on(tuesday),
    inference(unit_resulting_resolution,[],[f43,f1]) ).

fof(f84,plain,
    ~ spl0_5,
    inference(avatar_split_clause,[],[f82,f66]) ).

fof(f66,plain,
    ( spl0_5
  <=> all_on(thursday) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f82,plain,
    ~ all_on(thursday),
    inference(unit_resulting_resolution,[],[f44,f1]) ).

fof(f78,plain,
    ~ spl0_6,
    inference(avatar_split_clause,[],[f48,f70]) ).

fof(f70,plain,
    ( spl0_6
  <=> all_on(friday) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f48,axiom,
    ~ all_on(friday),
    file('/export/starexec/sandbox/tmp/tmp.ApIPINVIb1/Vampire---4.8_1022',prove_all_on_friday) ).

fof(f77,plain,
    ( spl0_1
    | spl0_2
    | spl0_3
    | spl0_4
    | spl0_5
    | spl0_6
    | spl0_7 ),
    inference(avatar_split_clause,[],[f39,f74,f70,f66,f62,f58,f54,f50]) ).

fof(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.ApIPINVIb1/Vampire---4.8_1022',all_on_one_day) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem    : PUZ018-1 : TPTP v8.1.2. Bugfixed v1.2.0.
% 0.09/0.11  % 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
% 0.10/0.31  % Computer : n013.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit   : 300
% 0.10/0.31  % WCLimit    : 300
% 0.10/0.31  % DateTime   : Tue Apr 30 17:23:34 EDT 2024
% 0.10/0.31  % CPUTime    : 
% 0.10/0.31  This is a CNF_UNS_EPR_NEQ_NHN problem
% 0.10/0.31  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.ApIPINVIb1/Vampire---4.8_1022
% 0.61/0.79  % (1161)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.61/0.79  % (1162)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.61/0.79  % (1159)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 (2995ds/34Mi)
% 0.61/0.79  % (1163)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 (2995ds/34Mi)
% 0.61/0.79  % (1164)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.61/0.79  % (1160)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 (2995ds/51Mi)
% 0.61/0.79  % (1165)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 (2995ds/83Mi)
% 0.61/0.79  % (1166)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 (2995ds/56Mi)
% 0.61/0.80  % (1162)First to succeed.
% 0.63/0.80  % (1165)Also succeeded, but the first one will report.
% 0.63/0.80  % (1162)Refutation found. Thanks to Tanya!
% 0.63/0.80  % SZS status Unsatisfiable for Vampire---4
% 0.63/0.80  % SZS output start Proof for Vampire---4
% See solution above
% 0.63/0.80  % (1162)------------------------------
% 0.63/0.80  % (1162)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.80  % (1162)Termination reason: Refutation
% 0.63/0.80  
% 0.63/0.80  % (1162)Memory used [KB]: 1090
% 0.63/0.80  % (1162)Time elapsed: 0.006 s
% 0.63/0.80  % (1162)Instructions burned: 9 (million)
% 0.63/0.80  % (1162)------------------------------
% 0.63/0.80  % (1162)------------------------------
% 0.63/0.80  % (1155)Success in time 0.484 s
% 0.63/0.80  % Vampire---4.8 exiting
%------------------------------------------------------------------------------