TSTP Solution File: PUZ078+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : PUZ078+1 : TPTP v8.2.0. Released v3.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n017.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 : Tue May 21 02:28:27 EDT 2024

% Result   : Theorem 0.62s 0.78s
% Output   : Refutation 0.62s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   55
% Syntax   : Number of formulae    :  294 (  43 unt;   0 def)
%            Number of atoms       :  772 ( 140 equ)
%            Maximal formula atoms :   21 (   2 avg)
%            Number of connectives :  853 ( 375   ~; 390   |;  41   &)
%                                         (  39 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   22 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   37 (  35 usr;  32 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;  11 con; 0-1 aty)
%            Number of variables   :   57 (  49   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1431,plain,
    $false,
    inference(avatar_sat_refutation,[],[f114,f119,f128,f132,f136,f151,f280,f326,f333,f335,f339,f345,f361,f746,f787,f796,f804,f806,f818,f883,f887,f909,f945,f951,f1005,f1012,f1059,f1068,f1175,f1182,f1204,f1276,f1287,f1290,f1292,f1314,f1315,f1334,f1346,f1383,f1399,f1406,f1418,f1426,f1428]) ).

fof(f1428,plain,
    ( ~ spl4_13
    | ~ spl4_2 ),
    inference(avatar_split_clause,[],[f231,f109,f274]) ).

fof(f274,plain,
    ( spl4_13
  <=> truthday(saturday) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_13])]) ).

fof(f109,plain,
    ( spl4_2
  <=> truthday(friday) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).

fof(f231,plain,
    ( ~ truthday(friday)
    | ~ truthday(saturday) ),
    inference(extensionality_resolution,[],[f65,f86]) ).

fof(f86,plain,
    friday != saturday,
    inference(cnf_transformation,[],[f2]) ).

fof(f2,axiom,
    ( saturday != sunday
    & friday != sunday
    & friday != saturday
    & thursday != sunday
    & thursday != saturday
    & thursday != friday
    & wednesday != sunday
    & wednesday != saturday
    & wednesday != friday
    & wednesday != thursday
    & tuesday != sunday
    & tuesday != saturday
    & tuesday != friday
    & tuesday != thursday
    & tuesday != wednesday
    & monday != sunday
    & monday != saturday
    & monday != friday
    & monday != thursday
    & monday != wednesday
    & monday != tuesday ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',uniquenames) ).

fof(f65,plain,
    ! [X0,X1] :
      ( ~ truthday(X1)
      | X0 = X1
      | ~ truthday(X0) ),
    inference(cnf_transformation,[],[f30]) ).

fof(f30,plain,
    ! [X0,X1] :
      ( X0 = X1
      | ~ truthday(X1)
      | ~ truthday(X0) ),
    inference(flattening,[],[f29]) ).

fof(f29,plain,
    ! [X0,X1] :
      ( X0 = X1
      | ~ truthday(X1)
      | ~ truthday(X0) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f3,axiom,
    ! [X0,X1] :
      ( ( truthday(X1)
        & truthday(X0) )
     => X0 = X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',truth_unique) ).

fof(f1426,plain,
    ( ~ spl4_1
    | ~ spl4_13 ),
    inference(avatar_split_clause,[],[f238,f274,f106]) ).

fof(f106,plain,
    ( spl4_1
  <=> truthday(wednesday) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).

fof(f238,plain,
    ( ~ truthday(saturday)
    | ~ truthday(wednesday) ),
    inference(extensionality_resolution,[],[f65,f81]) ).

fof(f81,plain,
    wednesday != saturday,
    inference(cnf_transformation,[],[f2]) ).

fof(f1418,plain,
    ( spl4_13
    | ~ spl4_34 ),
    inference(avatar_split_clause,[],[f1410,f739,f274]) ).

fof(f739,plain,
    ( spl4_34
  <=> saturday = sK0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_34])]) ).

fof(f1410,plain,
    ( truthday(saturday)
    | ~ spl4_34 ),
    inference(backward_demodulation,[],[f64,f740]) ).

fof(f740,plain,
    ( saturday = sK0
    | ~ spl4_34 ),
    inference(avatar_component_clause,[],[f739]) ).

fof(f64,plain,
    truthday(sK0),
    inference(cnf_transformation,[],[f44]) ).

fof(f44,plain,
    truthday(sK0),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f7,f43]) ).

fof(f43,plain,
    ( ? [X0] : truthday(X0)
   => truthday(sK0) ),
    introduced(choice_axiom,[]) ).

fof(f7,axiom,
    ? [X0] : truthday(X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',truth_once) ).

fof(f1406,plain,
    ( spl4_5
    | ~ spl4_42 ),
    inference(avatar_split_clause,[],[f1404,f773,f123]) ).

fof(f123,plain,
    ( spl4_5
  <=> day2(sunday) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_5])]) ).

fof(f773,plain,
    ( spl4_42
  <=> sunday = sK2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_42])]) ).

fof(f1404,plain,
    ( day2(sunday)
    | ~ spl4_42 ),
    inference(backward_demodulation,[],[f99,f774]) ).

fof(f774,plain,
    ( sunday = sK2
    | ~ spl4_42 ),
    inference(avatar_component_clause,[],[f773]) ).

fof(f99,plain,
    day2(sK2),
    inference(cnf_transformation,[],[f50]) ).

fof(f50,plain,
    day2(sK2),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f9,f49]) ).

fof(f49,plain,
    ( ? [X0] : day2(X0)
   => day2(sK2) ),
    introduced(choice_axiom,[]) ).

fof(f9,axiom,
    ? [X0] : day2(X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',day2_once) ).

fof(f1399,plain,
    ( spl4_13
    | ~ spl4_5
    | ~ spl4_11 ),
    inference(avatar_split_clause,[],[f382,f149,f123,f274]) ).

fof(f149,plain,
    ( spl4_11
  <=> ! [X0] :
        ( truthday(X0)
        | ~ day1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_11])]) ).

fof(f382,plain,
    ( ~ day2(sunday)
    | truthday(saturday)
    | ~ spl4_11 ),
    inference(superposition,[],[f370,f101]) ).

fof(f101,plain,
    sunday = consecutive(saturday),
    inference(cnf_transformation,[],[f17]) ).

fof(f17,axiom,
    sunday = consecutive(saturday),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sunday_follows_saturday) ).

fof(f370,plain,
    ( ! [X0] :
        ( ~ day2(consecutive(X0))
        | truthday(X0) )
    | ~ spl4_11 ),
    inference(resolution,[],[f150,f98]) ).

fof(f98,plain,
    ! [X0] :
      ( day1(X0)
      | ~ day2(consecutive(X0)) ),
    inference(cnf_transformation,[],[f48]) ).

fof(f48,plain,
    ! [X0] :
      ( ( day1(X0)
        | ~ day2(consecutive(X0)) )
      & ( day2(consecutive(X0))
        | ~ day1(X0) ) ),
    inference(nnf_transformation,[],[f18]) ).

fof(f18,axiom,
    ! [X0] :
      ( day1(X0)
    <=> day2(consecutive(X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',day2_follows_day1) ).

fof(f150,plain,
    ( ! [X0] :
        ( ~ day1(X0)
        | truthday(X0) )
    | ~ spl4_11 ),
    inference(avatar_component_clause,[],[f149]) ).

fof(f1383,plain,
    ( ~ spl4_6
    | ~ spl4_7
    | spl4_13 ),
    inference(avatar_contradiction_clause,[],[f1382]) ).

fof(f1382,plain,
    ( $false
    | ~ spl4_6
    | ~ spl4_7
    | spl4_13 ),
    inference(subsumption_resolution,[],[f1378,f275]) ).

fof(f275,plain,
    ( ~ truthday(saturday)
    | spl4_13 ),
    inference(avatar_component_clause,[],[f274]) ).

fof(f1378,plain,
    ( truthday(saturday)
    | ~ spl4_6
    | ~ spl4_7 ),
    inference(resolution,[],[f141,f127]) ).

fof(f127,plain,
    ( ! [X0] :
        ( ~ day2(X0)
        | truthday(X0) )
    | ~ spl4_6 ),
    inference(avatar_component_clause,[],[f126]) ).

fof(f126,plain,
    ( spl4_6
  <=> ! [X0] :
        ( truthday(X0)
        | ~ day2(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_6])]) ).

fof(f141,plain,
    ( day2(saturday)
    | ~ spl4_7 ),
    inference(avatar_component_clause,[],[f130]) ).

fof(f130,plain,
    ( spl4_7
  <=> day2(saturday) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_7])]) ).

fof(f1346,plain,
    ( spl4_7
    | ~ spl4_11
    | ~ spl4_33 ),
    inference(avatar_split_clause,[],[f1345,f736,f149,f130]) ).

fof(f736,plain,
    ( spl4_33
  <=> friday = sK0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_33])]) ).

fof(f1345,plain,
    ( day2(saturday)
    | ~ spl4_11
    | ~ spl4_33 ),
    inference(forward_demodulation,[],[f1339,f95]) ).

fof(f95,plain,
    saturday = consecutive(friday),
    inference(cnf_transformation,[],[f16]) ).

fof(f16,axiom,
    saturday = consecutive(friday),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',saturday_follows_friday) ).

fof(f1339,plain,
    ( day2(consecutive(friday))
    | ~ spl4_11
    | ~ spl4_33 ),
    inference(backward_demodulation,[],[f401,f737]) ).

fof(f737,plain,
    ( friday = sK0
    | ~ spl4_33 ),
    inference(avatar_component_clause,[],[f736]) ).

fof(f401,plain,
    ( day2(consecutive(sK0))
    | ~ spl4_11 ),
    inference(backward_demodulation,[],[f174,f396]) ).

fof(f396,plain,
    ( sK0 = sK3
    | ~ spl4_11 ),
    inference(resolution,[],[f375,f64]) ).

fof(f375,plain,
    ( ! [X0] :
        ( ~ truthday(X0)
        | sK3 = X0 )
    | ~ spl4_11 ),
    inference(resolution,[],[f369,f65]) ).

fof(f369,plain,
    ( truthday(sK3)
    | ~ spl4_11 ),
    inference(resolution,[],[f150,f103]) ).

fof(f103,plain,
    day1(sK3),
    inference(cnf_transformation,[],[f52]) ).

fof(f52,plain,
    day1(sK3),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f8,f51]) ).

fof(f51,plain,
    ( ? [X0] : day1(X0)
   => day1(sK3) ),
    introduced(choice_axiom,[]) ).

fof(f8,axiom,
    ? [X0] : day1(X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',day1_once) ).

fof(f174,plain,
    day2(consecutive(sK3)),
    inference(resolution,[],[f97,f103]) ).

fof(f97,plain,
    ! [X0] :
      ( ~ day1(X0)
      | day2(consecutive(X0)) ),
    inference(cnf_transformation,[],[f48]) ).

fof(f1334,plain,
    ( spl4_7
    | ~ spl4_46 ),
    inference(avatar_split_clause,[],[f1332,f785,f130]) ).

fof(f785,plain,
    ( spl4_46
  <=> saturday = sK2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_46])]) ).

fof(f1332,plain,
    ( day2(saturday)
    | ~ spl4_46 ),
    inference(backward_demodulation,[],[f99,f786]) ).

fof(f786,plain,
    ( saturday = sK2
    | ~ spl4_46 ),
    inference(avatar_component_clause,[],[f785]) ).

fof(f1315,plain,
    ( ~ spl4_1
    | ~ spl4_14 ),
    inference(avatar_split_clause,[],[f228,f277,f106]) ).

fof(f277,plain,
    ( spl4_14
  <=> truthday(thursday) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_14])]) ).

fof(f228,plain,
    ( ~ truthday(thursday)
    | ~ truthday(wednesday) ),
    inference(extensionality_resolution,[],[f65,f79]) ).

fof(f79,plain,
    wednesday != thursday,
    inference(cnf_transformation,[],[f2]) ).

fof(f1314,plain,
    ( spl4_2
    | ~ spl4_7
    | ~ spl4_11 ),
    inference(avatar_split_clause,[],[f381,f149,f130,f109]) ).

fof(f381,plain,
    ( ~ day2(saturday)
    | truthday(friday)
    | ~ spl4_11 ),
    inference(superposition,[],[f370,f95]) ).

fof(f1292,plain,
    ( ~ spl4_2
    | ~ spl4_15 ),
    inference(avatar_split_clause,[],[f220,f282,f109]) ).

fof(f282,plain,
    ( spl4_15
  <=> truthday(sunday) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_15])]) ).

fof(f220,plain,
    ( ~ truthday(sunday)
    | ~ truthday(friday) ),
    inference(extensionality_resolution,[],[f65,f87]) ).

fof(f87,plain,
    friday != sunday,
    inference(cnf_transformation,[],[f2]) ).

fof(f1290,plain,
    ( ~ spl4_14
    | ~ spl4_2 ),
    inference(avatar_split_clause,[],[f214,f109,f277]) ).

fof(f214,plain,
    ( ~ truthday(friday)
    | ~ truthday(thursday) ),
    inference(extensionality_resolution,[],[f65,f83]) ).

fof(f83,plain,
    thursday != friday,
    inference(cnf_transformation,[],[f2]) ).

fof(f1287,plain,
    ( ~ spl4_1
    | ~ spl4_15 ),
    inference(avatar_split_clause,[],[f224,f282,f106]) ).

fof(f224,plain,
    ( ~ truthday(sunday)
    | ~ truthday(wednesday) ),
    inference(extensionality_resolution,[],[f65,f82]) ).

fof(f82,plain,
    wednesday != sunday,
    inference(cnf_transformation,[],[f2]) ).

fof(f1276,plain,
    ( ~ spl4_6
    | ~ spl4_8
    | spl4_14 ),
    inference(avatar_contradiction_clause,[],[f1275]) ).

fof(f1275,plain,
    ( $false
    | ~ spl4_6
    | ~ spl4_8
    | spl4_14 ),
    inference(subsumption_resolution,[],[f1274,f278]) ).

fof(f278,plain,
    ( ~ truthday(thursday)
    | spl4_14 ),
    inference(avatar_component_clause,[],[f277]) ).

fof(f1274,plain,
    ( truthday(thursday)
    | ~ spl4_6
    | ~ spl4_8 ),
    inference(resolution,[],[f127,f140]) ).

fof(f140,plain,
    ( day2(thursday)
    | ~ spl4_8 ),
    inference(avatar_component_clause,[],[f134]) ).

fof(f134,plain,
    ( spl4_8
  <=> day2(thursday) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_8])]) ).

fof(f1204,plain,
    ( ~ spl4_11
    | spl4_14
    | ~ spl4_45 ),
    inference(avatar_contradiction_clause,[],[f1203]) ).

fof(f1203,plain,
    ( $false
    | ~ spl4_11
    | spl4_14
    | ~ spl4_45 ),
    inference(subsumption_resolution,[],[f1202,f393]) ).

fof(f393,plain,
    ( ~ day3(saturday)
    | ~ spl4_11
    | spl4_14 ),
    inference(forward_demodulation,[],[f392,f95]) ).

fof(f392,plain,
    ( ~ day3(consecutive(friday))
    | ~ spl4_11
    | spl4_14 ),
    inference(resolution,[],[f386,f92]) ).

fof(f92,plain,
    ! [X0] :
      ( day2(X0)
      | ~ day3(consecutive(X0)) ),
    inference(cnf_transformation,[],[f45]) ).

fof(f45,plain,
    ! [X0] :
      ( ( day2(X0)
        | ~ day3(consecutive(X0)) )
      & ( day3(consecutive(X0))
        | ~ day2(X0) ) ),
    inference(nnf_transformation,[],[f19]) ).

fof(f19,axiom,
    ! [X0] :
      ( day2(X0)
    <=> day3(consecutive(X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',day3_follows_day2) ).

fof(f386,plain,
    ( ~ day2(friday)
    | ~ spl4_11
    | spl4_14 ),
    inference(subsumption_resolution,[],[f380,f278]) ).

fof(f380,plain,
    ( ~ day2(friday)
    | truthday(thursday)
    | ~ spl4_11 ),
    inference(superposition,[],[f370,f96]) ).

fof(f96,plain,
    friday = consecutive(thursday),
    inference(cnf_transformation,[],[f15]) ).

fof(f15,axiom,
    friday = consecutive(thursday),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',friday_follows_thursday) ).

fof(f1202,plain,
    ( day3(saturday)
    | ~ spl4_45 ),
    inference(forward_demodulation,[],[f1199,f95]) ).

fof(f1199,plain,
    ( day3(consecutive(friday))
    | ~ spl4_45 ),
    inference(backward_demodulation,[],[f161,f783]) ).

fof(f783,plain,
    ( friday = sK2
    | ~ spl4_45 ),
    inference(avatar_component_clause,[],[f782]) ).

fof(f782,plain,
    ( spl4_45
  <=> friday = sK2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_45])]) ).

fof(f161,plain,
    day3(consecutive(sK2)),
    inference(resolution,[],[f91,f99]) ).

fof(f91,plain,
    ! [X0] :
      ( ~ day2(X0)
      | day3(consecutive(X0)) ),
    inference(cnf_transformation,[],[f45]) ).

fof(f1182,plain,
    ( spl4_7
    | ~ spl4_36 ),
    inference(avatar_contradiction_clause,[],[f1181]) ).

fof(f1181,plain,
    ( $false
    | spl4_7
    | ~ spl4_36 ),
    inference(subsumption_resolution,[],[f1177,f296]) ).

fof(f296,plain,
    ( ~ day3(sunday)
    | spl4_7 ),
    inference(forward_demodulation,[],[f295,f101]) ).

fof(f295,plain,
    ( ~ day3(consecutive(saturday))
    | spl4_7 ),
    inference(resolution,[],[f131,f92]) ).

fof(f131,plain,
    ( ~ day2(saturday)
    | spl4_7 ),
    inference(avatar_component_clause,[],[f130]) ).

fof(f1177,plain,
    ( day3(sunday)
    | ~ spl4_36 ),
    inference(backward_demodulation,[],[f93,f753]) ).

fof(f753,plain,
    ( sunday = sK1
    | ~ spl4_36 ),
    inference(avatar_component_clause,[],[f752]) ).

fof(f752,plain,
    ( spl4_36
  <=> sunday = sK1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_36])]) ).

fof(f93,plain,
    day3(sK1),
    inference(cnf_transformation,[],[f47]) ).

fof(f47,plain,
    day3(sK1),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f10,f46]) ).

fof(f46,plain,
    ( ? [X0] : day3(X0)
   => day3(sK1) ),
    introduced(choice_axiom,[]) ).

fof(f10,axiom,
    ? [X0] : day3(X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',day3_once) ).

fof(f1175,plain,
    ( spl4_35
    | spl4_36
    | spl4_37
    | spl4_38
    | spl4_39
    | spl4_40
    | ~ spl4_3 ),
    inference(avatar_split_clause,[],[f1174,f112,f764,f761,f758,f755,f752,f749]) ).

fof(f749,plain,
    ( spl4_35
  <=> monday = sK1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_35])]) ).

fof(f755,plain,
    ( spl4_37
  <=> wednesday = sK1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_37])]) ).

fof(f758,plain,
    ( spl4_38
  <=> thursday = sK1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_38])]) ).

fof(f761,plain,
    ( spl4_39
  <=> friday = sK1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_39])]) ).

fof(f764,plain,
    ( spl4_40
  <=> saturday = sK1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_40])]) ).

fof(f112,plain,
    ( spl4_3
  <=> ! [X0] :
        ( truthday(X0)
        | ~ day3(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_3])]) ).

fof(f1174,plain,
    ( saturday = sK1
    | friday = sK1
    | thursday = sK1
    | wednesday = sK1
    | sunday = sK1
    | monday = sK1
    | ~ spl4_3 ),
    inference(subsumption_resolution,[],[f1170,f53]) ).

fof(f53,plain,
    ~ truthday(tuesday),
    inference(cnf_transformation,[],[f25]) ).

fof(f25,plain,
    ~ truthday(tuesday),
    inference(flattening,[],[f24]) ).

fof(f24,negated_conjecture,
    ~ truthday(tuesday),
    inference(negated_conjecture,[],[f23]) ).

fof(f23,conjecture,
    truthday(tuesday),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tuesday_leo_tells_truths) ).

fof(f1170,plain,
    ( truthday(tuesday)
    | saturday = sK1
    | friday = sK1
    | thursday = sK1
    | wednesday = sK1
    | sunday = sK1
    | monday = sK1
    | ~ spl4_3 ),
    inference(superposition,[],[f351,f89]) ).

fof(f89,plain,
    ! [X0] :
      ( tuesday = X0
      | saturday = X0
      | friday = X0
      | thursday = X0
      | wednesday = X0
      | sunday = X0
      | monday = X0 ),
    inference(cnf_transformation,[],[f1]) ).

fof(f1,axiom,
    ! [X0] :
      ( sunday = X0
      | saturday = X0
      | friday = X0
      | thursday = X0
      | wednesday = X0
      | tuesday = X0
      | monday = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',days_of_week) ).

fof(f351,plain,
    ( truthday(sK1)
    | ~ spl4_3 ),
    inference(resolution,[],[f113,f93]) ).

fof(f113,plain,
    ( ! [X0] :
        ( ~ day3(X0)
        | truthday(X0) )
    | ~ spl4_3 ),
    inference(avatar_component_clause,[],[f112]) ).

fof(f1068,plain,
    ( spl4_10
    | ~ spl4_11
    | ~ spl4_37 ),
    inference(avatar_contradiction_clause,[],[f1067]) ).

fof(f1067,plain,
    ( $false
    | spl4_10
    | ~ spl4_11
    | ~ spl4_37 ),
    inference(subsumption_resolution,[],[f1066,f389]) ).

fof(f389,plain,
    ( ~ day3(wednesday)
    | spl4_10
    | ~ spl4_11 ),
    inference(forward_demodulation,[],[f388,f66]) ).

fof(f66,plain,
    wednesday = consecutive(tuesday),
    inference(cnf_transformation,[],[f13]) ).

fof(f13,axiom,
    wednesday = consecutive(tuesday),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wednesday_follows_tuesday) ).

fof(f388,plain,
    ( ~ day3(consecutive(tuesday))
    | spl4_10
    | ~ spl4_11 ),
    inference(resolution,[],[f384,f92]) ).

fof(f384,plain,
    ( ~ day2(tuesday)
    | spl4_10
    | ~ spl4_11 ),
    inference(subsumption_resolution,[],[f377,f155]) ).

fof(f155,plain,
    ( ~ truthday(monday)
    | spl4_10 ),
    inference(avatar_component_clause,[],[f146]) ).

fof(f146,plain,
    ( spl4_10
  <=> truthday(monday) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_10])]) ).

fof(f377,plain,
    ( ~ day2(tuesday)
    | truthday(monday)
    | ~ spl4_11 ),
    inference(superposition,[],[f370,f67]) ).

fof(f67,plain,
    tuesday = consecutive(monday),
    inference(cnf_transformation,[],[f12]) ).

fof(f12,axiom,
    tuesday = consecutive(monday),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tuesday_follows_monday) ).

fof(f1066,plain,
    ( day3(wednesday)
    | ~ spl4_37 ),
    inference(forward_demodulation,[],[f93,f756]) ).

fof(f756,plain,
    ( wednesday = sK1
    | ~ spl4_37 ),
    inference(avatar_component_clause,[],[f755]) ).

fof(f1059,plain,
    ( spl4_8
    | ~ spl4_44 ),
    inference(avatar_contradiction_clause,[],[f1058]) ).

fof(f1058,plain,
    ( $false
    | spl4_8
    | ~ spl4_44 ),
    inference(subsumption_resolution,[],[f1057,f196]) ).

fof(f196,plain,
    ( ~ day3(friday)
    | spl4_8 ),
    inference(forward_demodulation,[],[f195,f96]) ).

fof(f195,plain,
    ( ~ day3(consecutive(thursday))
    | spl4_8 ),
    inference(resolution,[],[f135,f92]) ).

fof(f135,plain,
    ( ~ day2(thursday)
    | spl4_8 ),
    inference(avatar_component_clause,[],[f134]) ).

fof(f1057,plain,
    ( day3(friday)
    | ~ spl4_44 ),
    inference(forward_demodulation,[],[f1056,f96]) ).

fof(f1056,plain,
    ( day3(consecutive(thursday))
    | ~ spl4_44 ),
    inference(forward_demodulation,[],[f161,f780]) ).

fof(f780,plain,
    ( thursday = sK2
    | ~ spl4_44 ),
    inference(avatar_component_clause,[],[f779]) ).

fof(f779,plain,
    ( spl4_44
  <=> thursday = sK2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_44])]) ).

fof(f1012,plain,
    ( spl4_14
    | ~ spl4_32 ),
    inference(avatar_contradiction_clause,[],[f1011]) ).

fof(f1011,plain,
    ( $false
    | spl4_14
    | ~ spl4_32 ),
    inference(subsumption_resolution,[],[f1010,f278]) ).

fof(f1010,plain,
    ( truthday(thursday)
    | ~ spl4_32 ),
    inference(forward_demodulation,[],[f64,f734]) ).

fof(f734,plain,
    ( thursday = sK0
    | ~ spl4_32 ),
    inference(avatar_component_clause,[],[f733]) ).

fof(f733,plain,
    ( spl4_32
  <=> thursday = sK0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_32])]) ).

fof(f1005,plain,
    ( ~ spl4_3
    | spl4_10
    | ~ spl4_35 ),
    inference(avatar_contradiction_clause,[],[f1004]) ).

fof(f1004,plain,
    ( $false
    | ~ spl4_3
    | spl4_10
    | ~ spl4_35 ),
    inference(subsumption_resolution,[],[f1003,f155]) ).

fof(f1003,plain,
    ( truthday(monday)
    | ~ spl4_3
    | ~ spl4_35 ),
    inference(forward_demodulation,[],[f351,f750]) ).

fof(f750,plain,
    ( monday = sK1
    | ~ spl4_35 ),
    inference(avatar_component_clause,[],[f749]) ).

fof(f951,plain,
    ( spl4_2
    | ~ spl4_3
    | ~ spl4_39 ),
    inference(avatar_contradiction_clause,[],[f950]) ).

fof(f950,plain,
    ( $false
    | spl4_2
    | ~ spl4_3
    | ~ spl4_39 ),
    inference(subsumption_resolution,[],[f949,f118]) ).

fof(f118,plain,
    ( ~ truthday(friday)
    | spl4_2 ),
    inference(avatar_component_clause,[],[f109]) ).

fof(f949,plain,
    ( truthday(friday)
    | ~ spl4_3
    | ~ spl4_39 ),
    inference(forward_demodulation,[],[f351,f762]) ).

fof(f762,plain,
    ( friday = sK1
    | ~ spl4_39 ),
    inference(avatar_component_clause,[],[f761]) ).

fof(f945,plain,
    ( ~ spl4_11
    | ~ spl4_43 ),
    inference(avatar_contradiction_clause,[],[f944]) ).

fof(f944,plain,
    ( $false
    | ~ spl4_11
    | ~ spl4_43 ),
    inference(subsumption_resolution,[],[f943,f391]) ).

fof(f391,plain,
    ( ~ day3(thursday)
    | ~ spl4_11 ),
    inference(forward_demodulation,[],[f390,f90]) ).

fof(f90,plain,
    thursday = consecutive(wednesday),
    inference(cnf_transformation,[],[f14]) ).

fof(f14,axiom,
    thursday = consecutive(wednesday),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thursday_follows_wednesday) ).

fof(f390,plain,
    ( ~ day3(consecutive(wednesday))
    | ~ spl4_11 ),
    inference(resolution,[],[f385,f92]) ).

fof(f385,plain,
    ( ~ day2(wednesday)
    | ~ spl4_11 ),
    inference(subsumption_resolution,[],[f378,f53]) ).

fof(f378,plain,
    ( ~ day2(wednesday)
    | truthday(tuesday)
    | ~ spl4_11 ),
    inference(superposition,[],[f370,f66]) ).

fof(f943,plain,
    ( day3(thursday)
    | ~ spl4_43 ),
    inference(forward_demodulation,[],[f942,f90]) ).

fof(f942,plain,
    ( day3(consecutive(wednesday))
    | ~ spl4_43 ),
    inference(forward_demodulation,[],[f161,f777]) ).

fof(f777,plain,
    ( wednesday = sK2
    | ~ spl4_43 ),
    inference(avatar_component_clause,[],[f776]) ).

fof(f776,plain,
    ( spl4_43
  <=> wednesday = sK2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_43])]) ).

fof(f909,plain,
    ( spl4_1
    | ~ spl4_31 ),
    inference(avatar_contradiction_clause,[],[f908]) ).

fof(f908,plain,
    ( $false
    | spl4_1
    | ~ spl4_31 ),
    inference(subsumption_resolution,[],[f904,f120]) ).

fof(f120,plain,
    ( ~ truthday(wednesday)
    | spl4_1 ),
    inference(avatar_component_clause,[],[f106]) ).

fof(f904,plain,
    ( truthday(wednesday)
    | ~ spl4_31 ),
    inference(backward_demodulation,[],[f64,f731]) ).

fof(f731,plain,
    ( wednesday = sK0
    | ~ spl4_31 ),
    inference(avatar_component_clause,[],[f730]) ).

fof(f730,plain,
    ( spl4_31
  <=> wednesday = sK0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_31])]) ).

fof(f887,plain,
    ( spl4_15
    | ~ spl4_30 ),
    inference(avatar_contradiction_clause,[],[f886]) ).

fof(f886,plain,
    ( $false
    | spl4_15
    | ~ spl4_30 ),
    inference(subsumption_resolution,[],[f885,f283]) ).

fof(f283,plain,
    ( ~ truthday(sunday)
    | spl4_15 ),
    inference(avatar_component_clause,[],[f282]) ).

fof(f885,plain,
    ( truthday(sunday)
    | ~ spl4_30 ),
    inference(forward_demodulation,[],[f64,f728]) ).

fof(f728,plain,
    ( sunday = sK0
    | ~ spl4_30 ),
    inference(avatar_component_clause,[],[f727]) ).

fof(f727,plain,
    ( spl4_30
  <=> sunday = sK0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_30])]) ).

fof(f883,plain,
    ( ~ spl4_11
    | ~ spl4_38 ),
    inference(avatar_contradiction_clause,[],[f882]) ).

fof(f882,plain,
    ( $false
    | ~ spl4_11
    | ~ spl4_38 ),
    inference(subsumption_resolution,[],[f881,f391]) ).

fof(f881,plain,
    ( day3(thursday)
    | ~ spl4_38 ),
    inference(forward_demodulation,[],[f93,f759]) ).

fof(f759,plain,
    ( thursday = sK1
    | ~ spl4_38 ),
    inference(avatar_component_clause,[],[f758]) ).

fof(f818,plain,
    ( spl4_10
    | ~ spl4_29 ),
    inference(avatar_contradiction_clause,[],[f817]) ).

fof(f817,plain,
    ( $false
    | spl4_10
    | ~ spl4_29 ),
    inference(subsumption_resolution,[],[f807,f155]) ).

fof(f807,plain,
    ( truthday(monday)
    | ~ spl4_29 ),
    inference(backward_demodulation,[],[f64,f725]) ).

fof(f725,plain,
    ( monday = sK0
    | ~ spl4_29 ),
    inference(avatar_component_clause,[],[f724]) ).

fof(f724,plain,
    ( spl4_29
  <=> monday = sK0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_29])]) ).

fof(f806,plain,
    ( ~ spl4_11
    | spl4_14
    | ~ spl4_40 ),
    inference(avatar_contradiction_clause,[],[f805]) ).

fof(f805,plain,
    ( $false
    | ~ spl4_11
    | spl4_14
    | ~ spl4_40 ),
    inference(subsumption_resolution,[],[f800,f393]) ).

fof(f800,plain,
    ( day3(saturday)
    | ~ spl4_40 ),
    inference(backward_demodulation,[],[f93,f765]) ).

fof(f765,plain,
    ( saturday = sK1
    | ~ spl4_40 ),
    inference(avatar_component_clause,[],[f764]) ).

fof(f804,plain,
    ( ~ spl4_3
    | spl4_13
    | ~ spl4_40 ),
    inference(avatar_contradiction_clause,[],[f803]) ).

fof(f803,plain,
    ( $false
    | ~ spl4_3
    | spl4_13
    | ~ spl4_40 ),
    inference(subsumption_resolution,[],[f799,f275]) ).

fof(f799,plain,
    ( truthday(saturday)
    | ~ spl4_3
    | ~ spl4_40 ),
    inference(backward_demodulation,[],[f351,f765]) ).

fof(f796,plain,
    ( ~ spl4_11
    | spl4_15
    | ~ spl4_41 ),
    inference(avatar_contradiction_clause,[],[f795]) ).

fof(f795,plain,
    ( $false
    | ~ spl4_11
    | spl4_15
    | ~ spl4_41 ),
    inference(subsumption_resolution,[],[f794,f395]) ).

fof(f395,plain,
    ( ~ day3(tuesday)
    | ~ spl4_11
    | spl4_15 ),
    inference(forward_demodulation,[],[f394,f67]) ).

fof(f394,plain,
    ( ~ day3(consecutive(monday))
    | ~ spl4_11
    | spl4_15 ),
    inference(resolution,[],[f387,f92]) ).

fof(f387,plain,
    ( ~ day2(monday)
    | ~ spl4_11
    | spl4_15 ),
    inference(subsumption_resolution,[],[f383,f283]) ).

fof(f383,plain,
    ( ~ day2(monday)
    | truthday(sunday)
    | ~ spl4_11 ),
    inference(superposition,[],[f370,f102]) ).

fof(f102,plain,
    monday = consecutive(sunday),
    inference(cnf_transformation,[],[f11]) ).

fof(f11,axiom,
    monday = consecutive(sunday),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',monday_follows_sunday) ).

fof(f794,plain,
    ( day3(tuesday)
    | ~ spl4_41 ),
    inference(forward_demodulation,[],[f791,f67]) ).

fof(f791,plain,
    ( day3(consecutive(monday))
    | ~ spl4_41 ),
    inference(backward_demodulation,[],[f161,f771]) ).

fof(f771,plain,
    ( monday = sK2
    | ~ spl4_41 ),
    inference(avatar_component_clause,[],[f770]) ).

fof(f770,plain,
    ( spl4_41
  <=> monday = sK2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_41])]) ).

fof(f787,plain,
    ( spl4_41
    | spl4_42
    | spl4_43
    | spl4_44
    | spl4_45
    | spl4_46
    | spl4_10
    | ~ spl4_11 ),
    inference(avatar_split_clause,[],[f768,f149,f146,f785,f782,f779,f776,f773,f770]) ).

fof(f768,plain,
    ( saturday = sK2
    | friday = sK2
    | thursday = sK2
    | wednesday = sK2
    | sunday = sK2
    | monday = sK2
    | spl4_10
    | ~ spl4_11 ),
    inference(subsumption_resolution,[],[f693,f384]) ).

fof(f693,plain,
    ( day2(tuesday)
    | saturday = sK2
    | friday = sK2
    | thursday = sK2
    | wednesday = sK2
    | sunday = sK2
    | monday = sK2 ),
    inference(superposition,[],[f99,f89]) ).

fof(f746,plain,
    ( spl4_29
    | spl4_30
    | spl4_31
    | spl4_32
    | spl4_33
    | spl4_34 ),
    inference(avatar_split_clause,[],[f745,f739,f736,f733,f730,f727,f724]) ).

fof(f745,plain,
    ( saturday = sK0
    | friday = sK0
    | thursday = sK0
    | wednesday = sK0
    | sunday = sK0
    | monday = sK0 ),
    inference(subsumption_resolution,[],[f689,f53]) ).

fof(f689,plain,
    ( truthday(tuesday)
    | saturday = sK0
    | friday = sK0
    | thursday = sK0
    | wednesday = sK0
    | sunday = sK0
    | monday = sK0 ),
    inference(superposition,[],[f64,f89]) ).

fof(f361,plain,
    ( ~ spl4_3
    | spl4_5
    | ~ spl4_10 ),
    inference(avatar_contradiction_clause,[],[f360]) ).

fof(f360,plain,
    ( $false
    | ~ spl4_3
    | spl4_5
    | ~ spl4_10 ),
    inference(subsumption_resolution,[],[f358,f346]) ).

fof(f346,plain,
    ( ~ day3(monday)
    | spl4_5 ),
    inference(forward_demodulation,[],[f341,f102]) ).

fof(f341,plain,
    ( ~ day3(consecutive(sunday))
    | spl4_5 ),
    inference(resolution,[],[f124,f92]) ).

fof(f124,plain,
    ( ~ day2(sunday)
    | spl4_5 ),
    inference(avatar_component_clause,[],[f123]) ).

fof(f358,plain,
    ( day3(monday)
    | ~ spl4_3
    | ~ spl4_10 ),
    inference(backward_demodulation,[],[f93,f353]) ).

fof(f353,plain,
    ( monday = sK1
    | ~ spl4_3
    | ~ spl4_10 ),
    inference(resolution,[],[f351,f254]) ).

fof(f254,plain,
    ( ! [X0] :
        ( ~ truthday(X0)
        | monday = X0 )
    | ~ spl4_10 ),
    inference(resolution,[],[f65,f147]) ).

fof(f147,plain,
    ( truthday(monday)
    | ~ spl4_10 ),
    inference(avatar_component_clause,[],[f146]) ).

fof(f345,plain,
    ( ~ spl4_3
    | ~ spl4_4 ),
    inference(avatar_contradiction_clause,[],[f344]) ).

fof(f344,plain,
    ( $false
    | ~ spl4_3
    | ~ spl4_4 ),
    inference(resolution,[],[f93,f340]) ).

fof(f340,plain,
    ( ! [X0] : ~ day3(X0)
    | ~ spl4_3
    | ~ spl4_4 ),
    inference(subsumption_resolution,[],[f113,f117]) ).

fof(f117,plain,
    ( ! [X0] :
        ( ~ day3(X0)
        | ~ truthday(X0) )
    | ~ spl4_4 ),
    inference(avatar_component_clause,[],[f116]) ).

fof(f116,plain,
    ( spl4_4
  <=> ! [X0] :
        ( ~ truthday(X0)
        | ~ day3(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_4])]) ).

fof(f339,plain,
    ( ~ spl4_1
    | ~ spl4_10 ),
    inference(avatar_split_clause,[],[f338,f146,f106]) ).

fof(f338,plain,
    ( ~ truthday(wednesday)
    | ~ spl4_10 ),
    inference(subsumption_resolution,[],[f216,f147]) ).

fof(f216,plain,
    ( ~ truthday(wednesday)
    | ~ truthday(monday) ),
    inference(extensionality_resolution,[],[f65,f69]) ).

fof(f69,plain,
    monday != wednesday,
    inference(cnf_transformation,[],[f2]) ).

fof(f335,plain,
    ( ~ spl4_2
    | ~ spl4_1 ),
    inference(avatar_split_clause,[],[f249,f106,f109]) ).

fof(f249,plain,
    ( ~ truthday(wednesday)
    | ~ truthday(friday) ),
    inference(extensionality_resolution,[],[f65,f80]) ).

fof(f80,plain,
    wednesday != friday,
    inference(cnf_transformation,[],[f2]) ).

fof(f333,plain,
    ( ~ spl4_2
    | ~ spl4_10 ),
    inference(avatar_split_clause,[],[f332,f146,f109]) ).

fof(f332,plain,
    ( ~ truthday(friday)
    | ~ spl4_10 ),
    inference(subsumption_resolution,[],[f234,f147]) ).

fof(f234,plain,
    ( ~ truthday(friday)
    | ~ truthday(monday) ),
    inference(extensionality_resolution,[],[f65,f71]) ).

fof(f71,plain,
    monday != friday,
    inference(cnf_transformation,[],[f2]) ).

fof(f326,plain,
    ( ~ spl4_3
    | ~ spl4_6
    | ~ spl4_10 ),
    inference(avatar_contradiction_clause,[],[f325]) ).

fof(f325,plain,
    ( $false
    | ~ spl4_3
    | ~ spl4_6
    | ~ spl4_10 ),
    inference(subsumption_resolution,[],[f324,f53]) ).

fof(f324,plain,
    ( truthday(tuesday)
    | ~ spl4_3
    | ~ spl4_6
    | ~ spl4_10 ),
    inference(forward_demodulation,[],[f319,f67]) ).

fof(f319,plain,
    ( truthday(consecutive(monday))
    | ~ spl4_3
    | ~ spl4_6
    | ~ spl4_10 ),
    inference(backward_demodulation,[],[f176,f300]) ).

fof(f300,plain,
    ( monday = sK2
    | ~ spl4_6
    | ~ spl4_10 ),
    inference(resolution,[],[f254,f159]) ).

fof(f159,plain,
    ( truthday(sK2)
    | ~ spl4_6 ),
    inference(resolution,[],[f127,f99]) ).

fof(f176,plain,
    ( truthday(consecutive(sK2))
    | ~ spl4_3 ),
    inference(resolution,[],[f161,f113]) ).

fof(f280,plain,
    ( ~ spl4_14
    | ~ spl4_13 ),
    inference(avatar_split_clause,[],[f252,f274,f277]) ).

fof(f252,plain,
    ( ~ truthday(saturday)
    | ~ truthday(thursday) ),
    inference(extensionality_resolution,[],[f65,f84]) ).

fof(f84,plain,
    thursday != saturday,
    inference(cnf_transformation,[],[f2]) ).

fof(f151,plain,
    ( spl4_10
    | spl4_11 ),
    inference(avatar_split_clause,[],[f144,f149,f146]) ).

fof(f144,plain,
    ! [X0] :
      ( truthday(X0)
      | truthday(monday)
      | ~ day1(X0) ),
    inference(subsumption_resolution,[],[f63,f53]) ).

fof(f63,plain,
    ! [X0] :
      ( truthday(X0)
      | truthday(tuesday)
      | truthday(monday)
      | ~ day1(X0) ),
    inference(cnf_transformation,[],[f42]) ).

fof(f42,plain,
    ! [X0] :
      ( ( ( truthday(X0)
          | truthday(tuesday)
          | truthday(monday) )
        & ( ( ~ truthday(tuesday)
            & ~ truthday(monday) )
          | ~ truthday(X0) ) )
      | ~ day1(X0) ),
    inference(flattening,[],[f41]) ).

fof(f41,plain,
    ! [X0] :
      ( ( ( truthday(X0)
          | truthday(tuesday)
          | truthday(monday) )
        & ( ( ~ truthday(tuesday)
            & ~ truthday(monday) )
          | ~ truthday(X0) ) )
      | ~ day1(X0) ),
    inference(nnf_transformation,[],[f28]) ).

fof(f28,plain,
    ! [X0] :
      ( ( truthday(X0)
      <=> ( ~ truthday(tuesday)
          & ~ truthday(monday) ) )
      | ~ day1(X0) ),
    inference(ennf_transformation,[],[f20]) ).

fof(f20,axiom,
    ! [X0] :
      ( day1(X0)
     => ( truthday(X0)
      <=> ( ~ truthday(tuesday)
          & ~ truthday(monday) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',statement1) ).

fof(f136,plain,
    ( ~ spl4_8
    | spl4_6 ),
    inference(avatar_split_clause,[],[f58,f126,f134]) ).

fof(f58,plain,
    ! [X0] :
      ( truthday(X0)
      | ~ day2(thursday)
      | ~ day2(X0) ),
    inference(cnf_transformation,[],[f40]) ).

fof(f40,plain,
    ! [X0] :
      ( ( ( truthday(X0)
          | ( ~ day2(sunday)
            & ~ day2(saturday)
            & ~ day2(thursday) ) )
        & ( day2(sunday)
          | day2(saturday)
          | day2(thursday)
          | ~ truthday(X0) ) )
      | ~ day2(X0) ),
    inference(flattening,[],[f39]) ).

fof(f39,plain,
    ! [X0] :
      ( ( ( truthday(X0)
          | ( ~ day2(sunday)
            & ~ day2(saturday)
            & ~ day2(thursday) ) )
        & ( day2(sunday)
          | day2(saturday)
          | day2(thursday)
          | ~ truthday(X0) ) )
      | ~ day2(X0) ),
    inference(nnf_transformation,[],[f27]) ).

fof(f27,plain,
    ! [X0] :
      ( ( truthday(X0)
      <=> ( day2(sunday)
          | day2(saturday)
          | day2(thursday) ) )
      | ~ day2(X0) ),
    inference(ennf_transformation,[],[f21]) ).

fof(f21,axiom,
    ! [X0] :
      ( day2(X0)
     => ( truthday(X0)
      <=> ( day2(sunday)
          | day2(saturday)
          | day2(thursday) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',statement2) ).

fof(f132,plain,
    ( ~ spl4_7
    | spl4_6 ),
    inference(avatar_split_clause,[],[f59,f126,f130]) ).

fof(f59,plain,
    ! [X0] :
      ( truthday(X0)
      | ~ day2(saturday)
      | ~ day2(X0) ),
    inference(cnf_transformation,[],[f40]) ).

fof(f128,plain,
    ( ~ spl4_5
    | spl4_6 ),
    inference(avatar_split_clause,[],[f60,f126,f123]) ).

fof(f60,plain,
    ! [X0] :
      ( truthday(X0)
      | ~ day2(sunday)
      | ~ day2(X0) ),
    inference(cnf_transformation,[],[f40]) ).

fof(f119,plain,
    ( spl4_4
    | ~ spl4_2 ),
    inference(avatar_split_clause,[],[f55,f109,f116]) ).

fof(f55,plain,
    ! [X0] :
      ( ~ truthday(friday)
      | ~ truthday(X0)
      | ~ day3(X0) ),
    inference(cnf_transformation,[],[f38]) ).

fof(f38,plain,
    ! [X0] :
      ( ( ( truthday(X0)
          | truthday(friday)
          | truthday(wednesday) )
        & ( ( ~ truthday(friday)
            & ~ truthday(wednesday) )
          | ~ truthday(X0) ) )
      | ~ day3(X0) ),
    inference(flattening,[],[f37]) ).

fof(f37,plain,
    ! [X0] :
      ( ( ( truthday(X0)
          | truthday(friday)
          | truthday(wednesday) )
        & ( ( ~ truthday(friday)
            & ~ truthday(wednesday) )
          | ~ truthday(X0) ) )
      | ~ day3(X0) ),
    inference(nnf_transformation,[],[f26]) ).

fof(f26,plain,
    ! [X0] :
      ( ( truthday(X0)
      <=> ( ~ truthday(friday)
          & ~ truthday(wednesday) ) )
      | ~ day3(X0) ),
    inference(ennf_transformation,[],[f22]) ).

fof(f22,axiom,
    ! [X0] :
      ( day3(X0)
     => ( truthday(X0)
      <=> ( ~ truthday(friday)
          & ~ truthday(wednesday) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',statement3) ).

fof(f114,plain,
    ( spl4_1
    | spl4_2
    | spl4_3 ),
    inference(avatar_split_clause,[],[f56,f112,f109,f106]) ).

fof(f56,plain,
    ! [X0] :
      ( truthday(X0)
      | truthday(friday)
      | truthday(wednesday)
      | ~ day3(X0) ),
    inference(cnf_transformation,[],[f38]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09  % Problem    : PUZ078+1 : TPTP v8.2.0. Released v3.5.0.
% 0.02/0.10  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.10/0.30  % Computer : n017.cluster.edu
% 0.10/0.30  % Model    : x86_64 x86_64
% 0.10/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30  % Memory   : 8042.1875MB
% 0.10/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30  % CPULimit   : 300
% 0.10/0.30  % WCLimit    : 300
% 0.10/0.30  % DateTime   : Sat May 18 10:36:08 EDT 2024
% 0.10/0.30  % CPUTime    : 
% 0.10/0.30  This is a FOF_THM_RFO_SEQ problem
% 0.10/0.31  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.56/0.75  % (25322)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 theBenchmark for (2995ds/34Mi)
% 0.56/0.75  % (25323)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 theBenchmark for (2995ds/51Mi)
% 0.56/0.75  % (25325)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2995ds/33Mi)
% 0.56/0.75  % (25324)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2995ds/78Mi)
% 0.56/0.75  % (25326)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 theBenchmark for (2995ds/34Mi)
% 0.56/0.75  % (25327)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2995ds/45Mi)
% 0.56/0.75  % (25328)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 theBenchmark for (2995ds/83Mi)
% 0.56/0.75  % (25329)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2995ds/56Mi)
% 0.56/0.75  % (25325)Refutation not found, incomplete strategy% (25325)------------------------------
% 0.56/0.75  % (25325)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75  % (25325)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75  % (25327)Refutation not found, incomplete strategy% (25327)------------------------------
% 0.56/0.75  % (25327)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75  % (25327)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75  
% 0.56/0.75  % (25327)Memory used [KB]: 955
% 0.56/0.75  % (25327)Time elapsed: 0.002 s
% 0.56/0.75  % (25327)Instructions burned: 2 (million)
% 0.56/0.75  
% 0.56/0.75  % (25325)Memory used [KB]: 955
% 0.56/0.75  % (25329)Refutation not found, incomplete strategy% (25329)------------------------------
% 0.56/0.75  % (25329)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75  % (25325)Time elapsed: 0.002 s
% 0.56/0.75  % (25325)Instructions burned: 2 (million)
% 0.56/0.76  % (25329)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.76  
% 0.56/0.76  % (25329)Memory used [KB]: 952
% 0.56/0.76  % (25329)Time elapsed: 0.002 s
% 0.56/0.76  % (25329)Instructions burned: 2 (million)
% 0.56/0.76  % (25327)------------------------------
% 0.56/0.76  % (25327)------------------------------
% 0.56/0.76  % (25325)------------------------------
% 0.56/0.76  % (25325)------------------------------
% 0.56/0.76  % (25326)Refutation not found, incomplete strategy% (25326)------------------------------
% 0.56/0.76  % (25326)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.76  % (25329)------------------------------
% 0.56/0.76  % (25329)------------------------------
% 0.56/0.76  % (25326)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.76  
% 0.56/0.76  % (25326)Memory used [KB]: 971
% 0.56/0.76  % (25326)Time elapsed: 0.003 s
% 0.56/0.76  % (25326)Instructions burned: 3 (million)
% 0.56/0.76  % (25326)------------------------------
% 0.56/0.76  % (25326)------------------------------
% 0.56/0.76  % (25328)Refutation not found, incomplete strategy% (25328)------------------------------
% 0.56/0.76  % (25328)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.76  % (25328)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.76  
% 0.56/0.76  % (25328)Memory used [KB]: 963
% 0.56/0.76  % (25328)Time elapsed: 0.003 s
% 0.56/0.76  % (25328)Instructions burned: 3 (million)
% 0.56/0.76  % (25328)------------------------------
% 0.56/0.76  % (25328)------------------------------
% 0.56/0.76  % (25322)Refutation not found, incomplete strategy% (25322)------------------------------
% 0.56/0.76  % (25322)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.76  % (25322)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.76  
% 0.56/0.76  % (25322)Memory used [KB]: 1071
% 0.56/0.76  % (25322)Time elapsed: 0.004 s
% 0.56/0.76  % (25322)Instructions burned: 4 (million)
% 0.56/0.76  % (25322)------------------------------
% 0.56/0.76  % (25322)------------------------------
% 0.56/0.76  % (25332)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on theBenchmark for (2995ds/208Mi)
% 0.56/0.76  % (25330)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on theBenchmark for (2995ds/55Mi)
% 0.56/0.76  % (25331)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on theBenchmark for (2995ds/50Mi)
% 0.56/0.76  % (25333)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on theBenchmark for (2995ds/52Mi)
% 0.62/0.76  % (25334)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on theBenchmark for (2995ds/518Mi)
% 0.62/0.76  % (25335)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on theBenchmark for (2995ds/42Mi)
% 0.62/0.76  % (25334)Refutation not found, incomplete strategy% (25334)------------------------------
% 0.62/0.76  % (25334)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.76  % (25334)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.76  
% 0.62/0.76  % (25334)Memory used [KB]: 971
% 0.62/0.76  % (25334)Time elapsed: 0.003 s
% 0.62/0.76  % (25334)Instructions burned: 4 (million)
% 0.62/0.76  % (25335)Refutation not found, incomplete strategy% (25335)------------------------------
% 0.62/0.76  % (25335)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.76  % (25335)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.76  
% 0.62/0.76  % (25335)Memory used [KB]: 995
% 0.62/0.76  % (25335)Time elapsed: 0.003 s
% 0.62/0.76  % (25335)Instructions burned: 3 (million)
% 0.62/0.76  % (25334)------------------------------
% 0.62/0.76  % (25334)------------------------------
% 0.62/0.76  % (25335)------------------------------
% 0.62/0.76  % (25335)------------------------------
% 0.62/0.76  % (25337)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on theBenchmark for (2995ds/117Mi)
% 0.62/0.77  % (25336)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on theBenchmark for (2995ds/243Mi)
% 0.62/0.77  % (25337)Refutation not found, incomplete strategy% (25337)------------------------------
% 0.62/0.77  % (25337)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.77  % (25337)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.77  
% 0.62/0.77  % (25337)Memory used [KB]: 1067
% 0.62/0.77  % (25337)Time elapsed: 0.003 s
% 0.62/0.77  % (25337)Instructions burned: 5 (million)
% 0.62/0.77  % (25337)------------------------------
% 0.62/0.77  % (25337)------------------------------
% 0.62/0.77  % (25339)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on theBenchmark for (2995ds/143Mi)
% 0.62/0.77  % (25339)Refutation not found, incomplete strategy% (25339)------------------------------
% 0.62/0.77  % (25339)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.78  % (25339)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.78  
% 0.62/0.78  % (25339)Memory used [KB]: 1166
% 0.62/0.78  % (25339)Time elapsed: 0.006 s
% 0.62/0.78  % (25339)Instructions burned: 10 (million)
% 0.62/0.78  % (25339)------------------------------
% 0.62/0.78  % (25339)------------------------------
% 0.62/0.78  % (25323)Instruction limit reached!
% 0.62/0.78  % (25323)------------------------------
% 0.62/0.78  % (25323)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.78  % (25323)Termination reason: Unknown
% 0.62/0.78  % (25323)Termination phase: Saturation
% 0.62/0.78  
% 0.62/0.78  % (25323)Memory used [KB]: 1416
% 0.62/0.78  % (25323)Time elapsed: 0.024 s
% 0.62/0.78  % (25323)Instructions burned: 51 (million)
% 0.62/0.78  % (25323)------------------------------
% 0.62/0.78  % (25323)------------------------------
% 0.62/0.78  % (25340)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on theBenchmark for (2995ds/93Mi)
% 0.62/0.78  % (25333)First to succeed.
% 0.62/0.78  % (25341)lrs+1666_1:1_sil=4000:sp=occurrence:sos=on:urr=on:newcnf=on:i=62:amm=off:ep=R:erd=off:nm=0:plsq=on:plsqr=14,1_0 on theBenchmark for (2995ds/62Mi)
% 0.62/0.78  % (25341)Refutation not found, incomplete strategy% (25341)------------------------------
% 0.62/0.78  % (25341)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.78  % (25341)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.78  
% 0.62/0.78  % (25341)Memory used [KB]: 994
% 0.62/0.78  % (25341)Time elapsed: 0.004 s
% 0.62/0.78  % (25341)Instructions burned: 4 (million)
% 0.62/0.78  % (25331)Instruction limit reached!
% 0.62/0.78  % (25331)------------------------------
% 0.62/0.78  % (25331)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.78  % (25331)Termination reason: Unknown
% 0.62/0.78  % (25331)Termination phase: Saturation
% 0.62/0.78  
% 0.62/0.78  % (25331)Memory used [KB]: 1267
% 0.62/0.78  % (25331)Time elapsed: 0.026 s
% 0.62/0.78  % (25331)Instructions burned: 51 (million)
% 0.62/0.78  % (25331)------------------------------
% 0.62/0.78  % (25331)------------------------------
% 0.62/0.78  % (25333)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-25319"
% 0.62/0.78  % (25341)------------------------------
% 0.62/0.78  % (25341)------------------------------
% 0.62/0.78  % (25333)Refutation found. Thanks to Tanya!
% 0.62/0.78  % SZS status Theorem for theBenchmark
% 0.62/0.78  % SZS output start Proof for theBenchmark
% See solution above
% 0.62/0.79  % (25333)------------------------------
% 0.62/0.79  % (25333)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.79  % (25333)Termination reason: Refutation
% 0.62/0.79  
% 0.62/0.79  % (25333)Memory used [KB]: 1375
% 0.62/0.79  % (25333)Time elapsed: 0.025 s
% 0.62/0.79  % (25333)Instructions burned: 45 (million)
% 0.62/0.79  % (25319)Success in time 0.469 s
% 0.62/0.79  % Vampire---4.8 exiting
%------------------------------------------------------------------------------