TSTP Solution File: SWC005-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWC005-1 : TPTP v8.1.0. Released v2.4.0.
% 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 : n020.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 18:38:09 EDT 2022

% Result   : Unsatisfiable 0.21s 0.56s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   32
% Syntax   : Number of formulae    :   89 (  11 unt;   0 def)
%            Number of atoms       :  319 (  88 equ)
%            Maximal formula atoms :    9 (   3 avg)
%            Number of connectives :  443 ( 213   ~; 215   |;   0   &)
%                                         (  15 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   20 (  18 usr;  16 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   5 con; 0-2 aty)
%            Number of variables   :   65 (  65   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f593,plain,
    $false,
    inference(avatar_sat_refutation,[],[f268,f299,f300,f301,f340,f344,f356,f357,f389,f419,f450,f452,f478,f538,f547,f568]) ).

fof(f568,plain,
    ( ~ spl0_27
    | ~ spl0_2
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f565,f544,f243,f434]) ).

fof(f434,plain,
    ( spl0_27
  <=> ssItem(hd(sk4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f243,plain,
    ( spl0_2
  <=> ssList(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f544,plain,
    ( spl0_34
  <=> nil = cons(hd(sk4),nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f565,plain,
    ( ~ ssList(nil)
    | ~ ssItem(hd(sk4))
    | ~ spl0_34 ),
    inference(trivial_inequality_removal,[],[f561]) ).

fof(f561,plain,
    ( nil != nil
    | ~ ssList(nil)
    | ~ ssItem(hd(sk4))
    | ~ spl0_34 ),
    inference(superposition,[],[f98,f546]) ).

fof(f546,plain,
    ( nil = cons(hd(sk4),nil)
    | ~ spl0_34 ),
    inference(avatar_component_clause,[],[f544]) ).

fof(f98,axiom,
    ! [X0,X1] :
      ( nil != cons(X0,X1)
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause98) ).

fof(f547,plain,
    ( spl0_34
    | ~ spl0_25
    | ~ spl0_27
    | ~ spl0_24
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f542,f536,f416,f434,f426,f544]) ).

fof(f426,plain,
    ( spl0_25
  <=> ssList(sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f416,plain,
    ( spl0_24
  <=> sk4 = cons(hd(sk4),sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f536,plain,
    ( spl0_33
  <=> ! [X0,X1] :
        ( cons(X0,X1) != sk4
        | sk3 != X1
        | ~ ssList(X1)
        | nil = cons(X0,nil)
        | ~ ssItem(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f542,plain,
    ( ~ ssItem(hd(sk4))
    | ~ ssList(sk3)
    | nil = cons(hd(sk4),nil)
    | ~ spl0_24
    | ~ spl0_33 ),
    inference(trivial_inequality_removal,[],[f540]) ).

fof(f540,plain,
    ( sk4 != sk4
    | nil = cons(hd(sk4),nil)
    | ~ ssList(sk3)
    | ~ ssItem(hd(sk4))
    | sk3 != sk3
    | ~ spl0_24
    | ~ spl0_33 ),
    inference(superposition,[],[f537,f418]) ).

fof(f418,plain,
    ( sk4 = cons(hd(sk4),sk3)
    | ~ spl0_24 ),
    inference(avatar_component_clause,[],[f416]) ).

fof(f537,plain,
    ( ! [X0,X1] :
        ( cons(X0,X1) != sk4
        | sk3 != X1
        | ~ ssItem(X0)
        | nil = cons(X0,nil)
        | ~ ssList(X1) )
    | ~ spl0_33 ),
    inference(avatar_component_clause,[],[f536]) ).

fof(f538,plain,
    ( spl0_33
    | ~ spl0_2
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f534,f476,f243,f536]) ).

fof(f476,plain,
    ( spl0_31
  <=> ! [X4,X3] :
        ( sk3 != app(nil,X4)
        | ~ ssList(X4)
        | nil = X3
        | sk4 != app(X3,X4)
        | ~ ssList(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f534,plain,
    ( ! [X0,X1] :
        ( ~ ssList(nil)
        | cons(X0,X1) != sk4
        | ~ ssItem(X0)
        | nil = cons(X0,nil)
        | ~ ssList(X1)
        | sk3 != X1 )
    | ~ spl0_31 ),
    inference(duplicate_literal_removal,[],[f533]) ).

fof(f533,plain,
    ( ! [X0,X1] :
        ( ~ ssItem(X0)
        | cons(X0,X1) != sk4
        | sk3 != X1
        | ~ ssList(X1)
        | ~ ssList(nil)
        | nil = cons(X0,nil)
        | ~ ssItem(X0) )
    | ~ spl0_31 ),
    inference(resolution,[],[f527,f86]) ).

fof(f86,axiom,
    ! [X0,X1] :
      ( ssList(cons(X0,X1))
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause86) ).

fof(f527,plain,
    ( ! [X10,X9] :
        ( ~ ssList(cons(X9,nil))
        | sk4 != cons(X9,X10)
        | ~ ssItem(X9)
        | nil = cons(X9,nil)
        | sk3 != X10
        | ~ ssList(X10) )
    | ~ spl0_31 ),
    inference(duplicate_literal_removal,[],[f515]) ).

fof(f515,plain,
    ( ! [X10,X9] :
        ( ~ ssList(cons(X9,nil))
        | sk4 != cons(X9,X10)
        | ~ ssItem(X9)
        | nil = cons(X9,nil)
        | sk3 != X10
        | ~ ssList(X10)
        | ~ ssList(X10) )
    | ~ spl0_31 ),
    inference(superposition,[],[f483,f120]) ).

fof(f120,axiom,
    ! [X0,X1] :
      ( cons(X0,X1) = app(cons(X0,nil),X1)
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause120) ).

fof(f483,plain,
    ( ! [X2,X3] :
        ( sk4 != app(X3,X2)
        | ~ ssList(X2)
        | sk3 != X2
        | ~ ssList(X3)
        | nil = X3 )
    | ~ spl0_31 ),
    inference(duplicate_literal_removal,[],[f481]) ).

fof(f481,plain,
    ( ! [X2,X3] :
        ( nil = X3
        | ~ ssList(X2)
        | ~ ssList(X2)
        | sk4 != app(X3,X2)
        | sk3 != X2
        | ~ ssList(X3) )
    | ~ spl0_31 ),
    inference(superposition,[],[f477,f74]) ).

fof(f74,axiom,
    ! [X0] :
      ( app(nil,X0) = X0
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause74) ).

fof(f477,plain,
    ( ! [X3,X4] :
        ( sk3 != app(nil,X4)
        | ~ ssList(X4)
        | sk4 != app(X3,X4)
        | nil = X3
        | ~ ssList(X3) )
    | ~ spl0_31 ),
    inference(avatar_component_clause,[],[f476]) ).

fof(f478,plain,
    ( ~ spl0_2
    | spl0_31
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f470,f387,f476,f243]) ).

fof(f387,plain,
    ( spl0_20
  <=> ! [X4,X5,X3] :
        ( ~ ssList(X4)
        | ~ ssList(X3)
        | sk4 != app(app(X4,X5),X3)
        | ~ ssList(X5)
        | nil = X5
        | sk3 != app(X4,X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f470,plain,
    ( ! [X3,X4] :
        ( sk3 != app(nil,X4)
        | nil = X3
        | ~ ssList(X4)
        | ~ ssList(X3)
        | ~ ssList(nil)
        | sk4 != app(X3,X4) )
    | ~ spl0_20 ),
    inference(duplicate_literal_removal,[],[f468]) ).

fof(f468,plain,
    ( ! [X3,X4] :
        ( ~ ssList(nil)
        | sk4 != app(X3,X4)
        | ~ ssList(X3)
        | ~ ssList(X4)
        | ~ ssList(X3)
        | sk3 != app(nil,X4)
        | nil = X3 )
    | ~ spl0_20 ),
    inference(superposition,[],[f388,f74]) ).

fof(f388,plain,
    ( ! [X3,X4,X5] :
        ( sk4 != app(app(X4,X5),X3)
        | nil = X5
        | ~ ssList(X4)
        | ~ ssList(X5)
        | sk3 != app(X4,X3)
        | ~ ssList(X3) )
    | ~ spl0_20 ),
    inference(avatar_component_clause,[],[f387]) ).

fof(f452,plain,
    ( ~ spl0_15
    | spl0_16
    | spl0_27 ),
    inference(avatar_split_clause,[],[f451,f434,f337,f333]) ).

fof(f333,plain,
    ( spl0_15
  <=> ssList(sk4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f337,plain,
    ( spl0_16
  <=> nil = sk4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f451,plain,
    ( nil = sk4
    | ~ ssList(sk4)
    | spl0_27 ),
    inference(resolution,[],[f436,f76]) ).

fof(f76,axiom,
    ! [X0] :
      ( ssItem(hd(X0))
      | nil = X0
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause76) ).

fof(f436,plain,
    ( ~ ssItem(hd(sk4))
    | spl0_27 ),
    inference(avatar_component_clause,[],[f434]) ).

fof(f450,plain,
    spl0_25,
    inference(avatar_contradiction_clause,[],[f449]) ).

fof(f449,plain,
    ( $false
    | spl0_25 ),
    inference(resolution,[],[f428,f188]) ).

fof(f188,axiom,
    ssList(sk3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_3) ).

fof(f428,plain,
    ( ~ ssList(sk3)
    | spl0_25 ),
    inference(avatar_component_clause,[],[f426]) ).

fof(f419,plain,
    ( spl0_24
    | ~ spl0_15
    | spl0_16
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f410,f257,f337,f333,f416]) ).

fof(f257,plain,
    ( spl0_5
  <=> sk3 = tl(sk4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f410,plain,
    ( nil = sk4
    | ~ ssList(sk4)
    | sk4 = cons(hd(sk4),sk3)
    | ~ spl0_5 ),
    inference(superposition,[],[f104,f259]) ).

fof(f259,plain,
    ( sk3 = tl(sk4)
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f257]) ).

fof(f104,axiom,
    ! [X0] :
      ( cons(hd(X0),tl(X0)) = X0
      | ~ ssList(X0)
      | nil = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause104) ).

fof(f389,plain,
    ( ~ spl0_2
    | spl0_20
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f373,f282,f387,f243]) ).

fof(f282,plain,
    ( spl0_11
  <=> ! [X6,X7,X8] :
        ( ~ ssList(X7)
        | sk3 != app(X6,X8)
        | ~ ssList(X8)
        | sk4 != app(app(X6,X7),X8)
        | ~ ssList(X6)
        | ~ neq(X7,nil) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f373,plain,
    ( ! [X3,X4,X5] :
        ( ~ ssList(X4)
        | ~ ssList(nil)
        | sk3 != app(X4,X3)
        | ~ ssList(X5)
        | nil = X5
        | sk4 != app(app(X4,X5),X3)
        | ~ ssList(X3) )
    | ~ spl0_11 ),
    inference(duplicate_literal_removal,[],[f371]) ).

fof(f371,plain,
    ( ! [X3,X4,X5] :
        ( ~ ssList(X5)
        | sk3 != app(X4,X3)
        | nil = X5
        | ~ ssList(nil)
        | ~ ssList(X5)
        | sk4 != app(app(X4,X5),X3)
        | ~ ssList(X3)
        | ~ ssList(X4) )
    | ~ spl0_11 ),
    inference(resolution,[],[f283,f100]) ).

fof(f100,axiom,
    ! [X0,X1] :
      ( neq(X1,X0)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | X0 = X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause100) ).

fof(f283,plain,
    ( ! [X8,X6,X7] :
        ( ~ neq(X7,nil)
        | ~ ssList(X8)
        | sk3 != app(X6,X8)
        | ~ ssList(X6)
        | ~ ssList(X7)
        | sk4 != app(app(X6,X7),X8) )
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f282]) ).

fof(f357,plain,
    spl0_15,
    inference(avatar_split_clause,[],[f189,f333]) ).

fof(f189,axiom,
    ssList(sk4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_4) ).

fof(f356,plain,
    ( ~ spl0_2
    | ~ spl0_7
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f355,f337,f265,f243]) ).

fof(f265,plain,
    ( spl0_7
  <=> neq(sk4,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f355,plain,
    ( ~ ssList(nil)
    | ~ spl0_7
    | ~ spl0_16 ),
    inference(resolution,[],[f347,f234]) ).

fof(f234,plain,
    ! [X1] :
      ( ~ neq(X1,X1)
      | ~ ssList(X1) ),
    inference(duplicate_literal_removal,[],[f226]) ).

fof(f226,plain,
    ! [X1] :
      ( ~ ssList(X1)
      | ~ neq(X1,X1)
      | ~ ssList(X1) ),
    inference(equality_resolution,[],[f115]) ).

fof(f115,axiom,
    ! [X0,X1] :
      ( ~ ssList(X1)
      | ~ ssList(X0)
      | X0 != X1
      | ~ neq(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause115) ).

fof(f347,plain,
    ( neq(nil,nil)
    | ~ spl0_7
    | ~ spl0_16 ),
    inference(backward_demodulation,[],[f266,f339]) ).

fof(f339,plain,
    ( nil = sk4
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f337]) ).

fof(f266,plain,
    ( neq(sk4,nil)
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f265]) ).

fof(f344,plain,
    ( ~ spl0_15
    | spl0_16
    | spl0_4 ),
    inference(avatar_split_clause,[],[f343,f253,f337,f333]) ).

fof(f253,plain,
    ( spl0_4
  <=> ssList(tl(sk4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f343,plain,
    ( nil = sk4
    | ~ ssList(sk4)
    | spl0_4 ),
    inference(resolution,[],[f255,f75]) ).

fof(f75,axiom,
    ! [X0] :
      ( ssList(tl(X0))
      | nil = X0
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause75) ).

fof(f255,plain,
    ( ~ ssList(tl(sk4))
    | spl0_4 ),
    inference(avatar_component_clause,[],[f253]) ).

fof(f340,plain,
    ( ~ spl0_15
    | spl0_16
    | ~ spl0_2
    | spl0_6 ),
    inference(avatar_split_clause,[],[f327,f261,f243,f337,f333]) ).

fof(f261,plain,
    ( spl0_6
  <=> neq(nil,sk4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f327,plain,
    ( ~ ssList(nil)
    | nil = sk4
    | ~ ssList(sk4)
    | spl0_6 ),
    inference(resolution,[],[f100,f263]) ).

fof(f263,plain,
    ( ~ neq(nil,sk4)
    | spl0_6 ),
    inference(avatar_component_clause,[],[f261]) ).

fof(f301,plain,
    spl0_2,
    inference(avatar_split_clause,[],[f8,f243]) ).

fof(f8,axiom,
    ssList(nil),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause8) ).

fof(f300,plain,
    ( ~ spl0_7
    | spl0_11 ),
    inference(avatar_split_clause,[],[f203,f282,f265]) ).

fof(f203,plain,
    ! [X8,X6,X7] :
      ( sk3 != app(X6,X8)
      | ~ ssList(X7)
      | sk4 != app(app(X6,X7),X8)
      | ~ ssList(X6)
      | ~ neq(X7,nil)
      | ~ neq(sk4,nil)
      | ~ ssList(X8) ),
    inference(definition_unfolding,[],[f196,f191,f190]) ).

fof(f190,axiom,
    sk2 = sk4,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_5) ).

fof(f191,axiom,
    sk1 = sk3,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).

fof(f196,axiom,
    ! [X8,X6,X7] :
      ( ~ ssList(X8)
      | ~ ssList(X6)
      | sk1 != app(X6,X8)
      | sk2 != app(app(X6,X7),X8)
      | ~ ssList(X7)
      | ~ neq(X7,nil)
      | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).

fof(f299,plain,
    spl0_7,
    inference(avatar_split_clause,[],[f231,f265]) ).

fof(f231,plain,
    neq(sk4,nil),
    inference(duplicate_literal_removal,[],[f204]) ).

fof(f204,plain,
    ( neq(sk4,nil)
    | neq(sk4,nil) ),
    inference(definition_unfolding,[],[f192,f190,f190]) ).

fof(f192,axiom,
    ( neq(sk2,nil)
    | neq(sk2,nil) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).

fof(f268,plain,
    ( ~ spl0_4
    | spl0_5
    | ~ spl0_6
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f211,f265,f261,f257,f253]) ).

fof(f211,plain,
    ( ~ neq(sk4,nil)
    | ~ neq(nil,sk4)
    | sk3 = tl(sk4)
    | ~ ssList(tl(sk4)) ),
    inference(equality_resolution,[],[f197]) ).

fof(f197,axiom,
    ! [X6] :
      ( ~ neq(nil,sk4)
      | ~ ssList(X6)
      | ~ neq(sk4,nil)
      | tl(sk4) != X6
      | sk3 = X6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_12) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SWC005-1 : TPTP v8.1.0. Released v2.4.0.
% 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
% 0.14/0.35  % Computer : n020.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Tue Aug 30 17:55:15 EDT 2022
% 0.14/0.35  % CPUTime    : 
% 0.21/0.49  % (3783)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.21/0.50  % (3775)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.21/0.50  % (3772)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=5:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.21/0.50  % (3775)Instruction limit reached!
% 0.21/0.50  % (3775)------------------------------
% 0.21/0.50  % (3775)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.50  % (3775)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.50  % (3775)Termination reason: Unknown
% 0.21/0.50  % (3775)Termination phase: Finite model building preprocessing
% 0.21/0.50  
% 0.21/0.50  % (3775)Memory used [KB]: 1535
% 0.21/0.50  % (3775)Time elapsed: 0.008 s
% 0.21/0.50  % (3775)Instructions burned: 6 (million)
% 0.21/0.50  % (3775)------------------------------
% 0.21/0.50  % (3775)------------------------------
% 0.21/0.51  % (3771)dis+4_1:1_bd=off:cond=fast:fde=unused:lcm=reverse:lma=on:nicw=on:nwc=2.0:s2a=on:s2agt=16:sac=on:sp=frequency:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/23Mi)
% 0.21/0.51  % (3772)Instruction limit reached!
% 0.21/0.51  % (3772)------------------------------
% 0.21/0.51  % (3772)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.51  % (3772)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.51  % (3772)Termination reason: Unknown
% 0.21/0.51  % (3772)Termination phase: Saturation
% 0.21/0.51  
% 0.21/0.51  % (3772)Memory used [KB]: 6012
% 0.21/0.51  % (3772)Time elapsed: 0.005 s
% 0.21/0.51  % (3772)Instructions burned: 6 (million)
% 0.21/0.51  % (3772)------------------------------
% 0.21/0.51  % (3772)------------------------------
% 0.21/0.51  % (3770)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)
% 0.21/0.51  % (3770)Instruction limit reached!
% 0.21/0.51  % (3770)------------------------------
% 0.21/0.51  % (3770)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.51  % (3778)lrs+1003_1:1024_add=large:afr=on:cond=fast:fsr=off:gs=on:sos=on:sp=reverse_arity:i=28:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/28Mi)
% 0.21/0.52  % (3782)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 0.21/0.52  % (3760)dis+21_1:1_av=off:fd=off:lcm=predicate:sos=on:spb=goal:urr=ec_only:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 0.21/0.52  % (3770)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52  % (3770)Termination reason: Unknown
% 0.21/0.52  % (3770)Termination phase: Property scanning
% 0.21/0.52  
% 0.21/0.52  % (3770)Memory used [KB]: 1535
% 0.21/0.52  % (3770)Time elapsed: 0.004 s
% 0.21/0.52  % (3770)Instructions burned: 6 (million)
% 0.21/0.52  % (3770)------------------------------
% 0.21/0.52  % (3770)------------------------------
% 0.21/0.52  % (3761)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.21/0.52  % (3779)lrs+1011_1:1_afp=100000:afr=on:amm=sco:bd=preordered:cond=fast:newcnf=on:nm=4:sos=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.52  % (3766)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.21/0.53  % (3761)Instruction limit reached!
% 0.21/0.53  % (3761)------------------------------
% 0.21/0.53  % (3761)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53  % (3761)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53  % (3761)Termination reason: Unknown
% 0.21/0.53  % (3761)Termination phase: Property scanning
% 0.21/0.53  
% 0.21/0.53  % (3761)Memory used [KB]: 1535
% 0.21/0.53  % (3761)Time elapsed: 0.005 s
% 0.21/0.53  % (3761)Instructions burned: 6 (million)
% 0.21/0.53  % (3761)------------------------------
% 0.21/0.53  % (3761)------------------------------
% 0.21/0.53  % (3786)lrs+3_8:1_anc=none:erd=off:fsd=on:s2a=on:s2agt=16:sgt=16:sos=on:sp=frequency:ss=included:i=71:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/71Mi)
% 0.21/0.53  % (3769)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.54  % (3765)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.21/0.54  % (3788)lrs+10_1:1_sos=all:ss=axioms:st=1.5:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 0.21/0.54  % (3759)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.21/0.54  % (3773)lrs+30_1:12_av=off:bs=unit_only:fsd=on:gs=on:lwlo=on:newcnf=on:slsq=on:slsqr=1,2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.54  % (3787)lrs+10_1:1_av=off:sd=2:sos=on:sp=reverse_arity:ss=axioms:to=lpo:i=73:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/73Mi)
% 0.21/0.54  % (3768)lrs+1011_1:1_atotf=0.0306256:ep=RST:mep=off:nm=0:sos=all:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.54  % (3781)lrs+1010_1:1_bd=off:fsr=off:sd=1:sos=on:ss=axioms:i=67:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/67Mi)
% 0.21/0.54  % (3768)Instruction limit reached!
% 0.21/0.54  % (3768)------------------------------
% 0.21/0.54  % (3768)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54  % (3768)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54  % (3768)Termination reason: Unknown
% 0.21/0.54  % (3768)Termination phase: Property scanning
% 0.21/0.54  
% 0.21/0.54  % (3768)Memory used [KB]: 1535
% 0.21/0.54  % (3768)Time elapsed: 0.003 s
% 0.21/0.54  % (3768)Instructions burned: 4 (million)
% 0.21/0.54  % (3768)------------------------------
% 0.21/0.54  % (3768)------------------------------
% 0.21/0.54  % (3767)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.54  % (3764)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.21/0.55  % (3789)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.55  % (3784)dis+10_1:1_add=large:alpa=false:anc=none:fd=off:lcm=reverse:nwc=5.0:sd=2:sgt=20:ss=included:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 0.21/0.55  % (3774)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/29Mi)
% 0.21/0.55  % (3779)Instruction limit reached!
% 0.21/0.55  % (3779)------------------------------
% 0.21/0.55  % (3779)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55  % (3779)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.55  % (3779)Termination reason: Unknown
% 0.21/0.55  % (3779)Termination phase: Saturation
% 0.21/0.55  
% 0.21/0.55  % (3779)Memory used [KB]: 1535
% 0.21/0.55  % (3779)Time elapsed: 0.006 s
% 0.21/0.55  % (3779)Instructions burned: 8 (million)
% 0.21/0.55  % (3779)------------------------------
% 0.21/0.55  % (3779)------------------------------
% 0.21/0.55  % (3780)lrs+10_1:7_av=off:awrs=converge:awrsf=40:br=off:bsd=on:cond=on:drc=off:nwc=3.0:plsq=on:plsqc=1:s2a=on:s2agt=16:to=lpo:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.21/0.55  % (3771)Instruction limit reached!
% 0.21/0.55  % (3771)------------------------------
% 0.21/0.55  % (3771)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55  % (3763)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)
% 0.21/0.55  % (3780)Instruction limit reached!
% 0.21/0.55  % (3780)------------------------------
% 0.21/0.55  % (3780)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55  % (3765)First to succeed.
% 0.21/0.56  % (3778)Instruction limit reached!
% 0.21/0.56  % (3778)------------------------------
% 0.21/0.56  % (3778)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.56  % (3783)Instruction limit reached!
% 0.21/0.56  % (3783)------------------------------
% 0.21/0.56  % (3783)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.56  % (3783)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.56  % (3783)Termination reason: Unknown
% 0.21/0.56  % (3783)Termination phase: Saturation
% 0.21/0.56  
% 0.21/0.56  % (3783)Memory used [KB]: 6780
% 0.21/0.56  % (3783)Time elapsed: 0.094 s
% 0.21/0.56  % (3783)Instructions burned: 37 (million)
% 0.21/0.56  % (3783)------------------------------
% 0.21/0.56  % (3783)------------------------------
% 0.21/0.56  % (3776)lrs+1_1:1_aac=none:add=large:anc=all_dependent:cond=fast:ep=RST:fsr=off:lma=on:nm=2:sos=on:sp=reverse_arity:stl=30:uhcvi=on:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.56  % (3776)Instruction limit reached!
% 0.21/0.56  % (3776)------------------------------
% 0.21/0.56  % (3776)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.56  % (3776)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.56  % (3776)Termination reason: Unknown
% 0.21/0.56  % (3776)Termination phase: Function definition elimination
% 0.21/0.56  
% 0.21/0.56  % (3776)Memory used [KB]: 1407
% 0.21/0.56  % (3776)Time elapsed: 0.002 s
% 0.21/0.56  % (3776)Instructions burned: 2 (million)
% 0.21/0.56  % (3776)------------------------------
% 0.21/0.56  % (3776)------------------------------
% 0.21/0.56  % (3785)lrs+1010_1:16_acc=on:anc=all:avsq=on:awrs=converge:s2a=on:sac=on:sos=on:ss=axioms:i=81:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/81Mi)
% 0.21/0.56  % (3778)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.56  % (3778)Termination reason: Unknown
% 0.21/0.56  % (3778)Termination phase: Saturation
% 0.21/0.56  
% 0.21/0.56  % (3778)Memory used [KB]: 11129
% 0.21/0.56  % (3778)Time elapsed: 0.130 s
% 0.21/0.56  % (3778)Instructions burned: 28 (million)
% 0.21/0.56  % (3778)------------------------------
% 0.21/0.56  % (3778)------------------------------
% 0.21/0.56  % (3777)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.21/0.56  % (3771)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.56  % (3771)Termination reason: Unknown
% 0.21/0.56  % (3771)Termination phase: Saturation
% 0.21/0.56  
% 0.21/0.56  % (3773)Instruction limit reached!
% 0.21/0.56  % (3773)------------------------------
% 0.21/0.56  % (3773)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.56  % (3771)Memory used [KB]: 6268
% 0.21/0.56  % (3771)Time elapsed: 0.118 s
% 0.21/0.56  % (3773)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.56  % (3771)Instructions burned: 24 (million)
% 0.21/0.56  % (3773)Termination reason: Unknown
% 0.21/0.56  % (3771)------------------------------
% 0.21/0.56  % (3771)------------------------------
% 0.21/0.56  % (3773)Termination phase: Function definition elimination
% 0.21/0.56  
% 0.21/0.56  % (3773)Memory used [KB]: 1407
% 0.21/0.56  % (3773)Time elapsed: 0.003 s
% 0.21/0.56  % (3773)Instructions burned: 4 (million)
% 0.21/0.56  % (3773)------------------------------
% 0.21/0.56  % (3773)------------------------------
% 0.21/0.56  % (3760)Instruction limit reached!
% 0.21/0.56  % (3760)------------------------------
% 0.21/0.56  % (3760)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.56  % (3760)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.56  % (3760)Termination reason: Unknown
% 0.21/0.56  % (3760)Termination phase: Saturation
% 0.21/0.56  
% 0.21/0.56  % (3760)Memory used [KB]: 2302
% 0.21/0.56  % (3760)Time elapsed: 0.133 s
% 0.21/0.56  % (3760)Instructions burned: 43 (million)
% 0.21/0.56  % (3760)------------------------------
% 0.21/0.56  % (3760)------------------------------
% 0.21/0.56  % (3780)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.56  % (3780)Termination reason: Unknown
% 0.21/0.56  % (3780)Termination phase: Saturation
% 0.21/0.56  
% 0.21/0.56  % (3780)Memory used [KB]: 1535
% 0.21/0.56  % (3780)Time elapsed: 0.005 s
% 0.21/0.56  % (3780)Instructions burned: 6 (million)
% 0.21/0.56  % (3780)------------------------------
% 0.21/0.56  % (3780)------------------------------
% 0.21/0.56  % (3765)Refutation found. Thanks to Tanya!
% 0.21/0.56  % SZS status Unsatisfiable for theBenchmark
% 0.21/0.56  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.56  % (3765)------------------------------
% 0.21/0.56  % (3765)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.56  % (3765)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.56  % (3765)Termination reason: Refutation
% 0.21/0.56  
% 0.21/0.56  % (3765)Memory used [KB]: 6268
% 0.21/0.56  % (3765)Time elapsed: 0.129 s
% 0.21/0.56  % (3765)Instructions burned: 16 (million)
% 0.21/0.56  % (3765)------------------------------
% 0.21/0.56  % (3765)------------------------------
% 0.21/0.56  % (3755)Success in time 0.199 s
%------------------------------------------------------------------------------