TSTP Solution File: SWW642_2 by Vampire---4.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.9
% Problem  : SWW642_2 : TPTP v8.2.0. Released v6.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire %s %d THM

% Computer : n022.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 : Mon Jun 24 18:35:30 EDT 2024

% Result   : Theorem 1.29s 0.60s
% Output   : Refutation 1.29s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   67
% Syntax   : Number of formulae    :  244 (  39 unt;   0 typ;   0 def)
%            Number of atoms       :  743 ( 269 equ)
%            Maximal formula atoms :   16 (   3 avg)
%            Number of connectives :  822 ( 323   ~; 371   |;  46   &)
%                                         (  43 <=>;  39  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   23 (   4 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number arithmetic     :  542 ( 129 atm; 120 fun; 221 num;  72 var)
%            Number of types       :    6 (   4 usr;   1 ari)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   49 (  45 usr;  44 prp; 0-2 aty)
%            Number of functors    :   39 (  32 usr;  28 con; 0-4 aty)
%            Number of variables   :   72 (  58   !;  14   ?;  72   :)

% Comments : 
%------------------------------------------------------------------------------
tff(type_def_5,type,
    uni: $tType ).

tff(type_def_6,type,
    ty: $tType ).

tff(type_def_7,type,
    bool1: $tType ).

tff(type_def_8,type,
    tuple02: $tType ).

tff(func_def_0,type,
    witness1: ty > uni ).

tff(func_def_1,type,
    int: ty ).

tff(func_def_2,type,
    real: ty ).

tff(func_def_3,type,
    bool: ty ).

tff(func_def_4,type,
    true1: bool1 ).

tff(func_def_5,type,
    false1: bool1 ).

tff(func_def_6,type,
    match_bool1: ( ty * bool1 * uni * uni ) > uni ).

tff(func_def_7,type,
    tuple0: ty ).

tff(func_def_8,type,
    tuple03: tuple02 ).

tff(func_def_9,type,
    qtmark: ty ).

tff(func_def_12,type,
    ref: ty > ty ).

tff(func_def_13,type,
    mk_ref: ( ty * uni ) > uni ).

tff(func_def_14,type,
    contents: ( ty * uni ) > uni ).

tff(func_def_18,type,
    fact1: $int > $int ).

tff(func_def_21,type,
    sK0: $int ).

tff(func_def_22,type,
    sK1: $int ).

tff(func_def_23,type,
    sK2: $int ).

tff(func_def_24,type,
    sK3: $int ).

tff(func_def_25,type,
    sK4: $int ).

tff(func_def_26,type,
    sK5: $int ).

tff(func_def_27,type,
    sK6: $int ).

tff(func_def_28,type,
    sK7: $int > $int ).

tff(func_def_29,type,
    sF8: $int ).

tff(func_def_30,type,
    sF9: $int ).

tff(func_def_31,type,
    sF10: $int ).

tff(func_def_32,type,
    sF11: $int ).

tff(func_def_33,type,
    sF12: $int ).

tff(func_def_34,type,
    sF13: $int ).

tff(func_def_35,type,
    sF14: $int ).

tff(func_def_36,type,
    sF15: $int ).

tff(func_def_37,type,
    sF16: $int ).

tff(func_def_38,type,
    sF17: $int ).

tff(pred_def_1,type,
    sort1: ( ty * uni ) > $o ).

tff(pred_def_3,type,
    even1: $int > $o ).

tff(f671,plain,
    $false,
    inference(avatar_smt_refutation,[],[f125,f129,f133,f142,f146,f151,f155,f161,f165,f169,f174,f178,f183,f187,f192,f210,f216,f223,f234,f238,f242,f243,f249,f256,f260,f265,f268,f279,f283,f288,f293,f309,f341,f350,f411,f417,f472,f499,f501,f594,f602,f667,f669]) ).

tff(f669,plain,
    ( ~ spl18_25
    | ~ spl18_30
    | ~ spl18_41 ),
    inference(avatar_contradiction_clause,[],[f668]) ).

tff(f668,plain,
    ( $false
    | ~ spl18_25
    | ~ spl18_30
    | ~ spl18_41 ),
    inference(evaluation,[],[f660]) ).

tff(f660,plain,
    ( $less(0,0)
    | ~ spl18_25
    | ~ spl18_30
    | ~ spl18_41 ),
    inference(backward_demodulation,[],[f272,f654]) ).

tff(f654,plain,
    ( ( 0 = sK6 )
    | ~ spl18_30
    | ~ spl18_41 ),
    inference(evaluation,[],[f642]) ).

tff(f642,plain,
    ( ( sK6 = $sum(1,-1) )
    | ~ spl18_30
    | ~ spl18_41 ),
    inference(backward_demodulation,[],[f292,f598]) ).

tff(f598,plain,
    ( ( 1 = sK3 )
    | ~ spl18_41 ),
    inference(avatar_component_clause,[],[f597]) ).

tff(f597,plain,
    ( spl18_41
  <=> ( 1 = sK3 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_41])]) ).

tff(f292,plain,
    ( ( sK6 = $sum(sK3,-1) )
    | ~ spl18_30 ),
    inference(avatar_component_clause,[],[f291]) ).

tff(f291,plain,
    ( spl18_30
  <=> ( sK6 = $sum(sK3,-1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_30])]) ).

tff(f272,plain,
    ( $less(sK6,0)
    | ~ spl18_25 ),
    inference(avatar_component_clause,[],[f271]) ).

tff(f271,plain,
    ( spl18_25
  <=> $less(sK6,0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_25])]) ).

tff(f667,plain,
    ( spl18_43
    | ~ spl18_30
    | ~ spl18_41 ),
    inference(avatar_split_clause,[],[f654,f597,f291,f665]) ).

tff(f665,plain,
    ( spl18_43
  <=> ( 0 = sK6 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_43])]) ).

tff(f602,plain,
    ( spl18_41
    | spl18_42
    | spl18_39 ),
    inference(avatar_split_clause,[],[f595,f589,f600,f597]) ).

tff(f600,plain,
    ( spl18_42
  <=> $less(sK3,1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_42])]) ).

tff(f589,plain,
    ( spl18_39
  <=> $less(1,sK3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_39])]) ).

tff(f595,plain,
    ( ( 1 = sK3 )
    | $less(sK3,1)
    | spl18_39 ),
    inference(resolution,[],[f590,f31]) ).

tff(f31,plain,
    ! [X0: $int,X1: $int] :
      ( $less(X1,X0)
      | $less(X0,X1)
      | ( X0 = X1 ) ),
    introduced(theory_axiom_152,[]) ).

tff(f590,plain,
    ( ~ $less(1,sK3)
    | spl18_39 ),
    inference(avatar_component_clause,[],[f589]) ).

tff(f594,plain,
    ( ~ spl18_39
    | spl18_40
    | ~ spl18_30 ),
    inference(avatar_split_clause,[],[f556,f291,f592,f589]) ).

tff(f592,plain,
    ( spl18_40
  <=> $less(0,sK6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_40])]) ).

tff(f556,plain,
    ( $less(0,sK6)
    | ~ $less(1,sK3)
    | ~ spl18_30 ),
    inference(evaluation,[],[f554]) ).

tff(f554,plain,
    ( $less(0,sK6)
    | ~ $less($uminus(-1),sK3)
    | ~ spl18_30 ),
    inference(superposition,[],[f397,f294]) ).

tff(f294,plain,
    ! [X0: $int] : ( 0 = $sum($uminus(X0),X0) ),
    inference(superposition,[],[f28,f34]) ).

tff(f34,plain,
    ! [X0: $int] : ( $uminus($uminus(X0)) = X0 ),
    introduced(theory_axiom_156,[]) ).

tff(f28,plain,
    ! [X0: $int] : ( 0 = $sum(X0,$uminus(X0)) ),
    introduced(theory_axiom_148,[]) ).

tff(f397,plain,
    ( ! [X0: $int] :
        ( $less($sum(X0,-1),sK6)
        | ~ $less(X0,sK3) )
    | ~ spl18_30 ),
    inference(superposition,[],[f32,f292]) ).

tff(f32,plain,
    ! [X2: $int,X0: $int,X1: $int] :
      ( $less($sum(X0,X2),$sum(X1,X2))
      | ~ $less(X0,X1) ),
    introduced(theory_axiom_153,[]) ).

tff(f501,plain,
    ( spl18_26
    | ~ spl18_25
    | ~ spl18_36 ),
    inference(avatar_split_clause,[],[f480,f415,f271,f274]) ).

tff(f274,plain,
    ( spl18_26
  <=> $less(sK6,sK3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_26])]) ).

tff(f415,plain,
    ( spl18_36
  <=> $less(0,sK3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_36])]) ).

tff(f480,plain,
    ( $less(sK6,sK3)
    | ~ spl18_25
    | ~ spl18_36 ),
    inference(resolution,[],[f445,f272]) ).

tff(f445,plain,
    ( ! [X0: $int] :
        ( ~ $less(X0,0)
        | $less(X0,sK3) )
    | ~ spl18_36 ),
    inference(resolution,[],[f416,f30]) ).

tff(f30,plain,
    ! [X2: $int,X0: $int,X1: $int] :
      ( ~ $less(X1,X2)
      | ~ $less(X0,X1)
      | $less(X0,X2) ),
    introduced(theory_axiom_151,[]) ).

tff(f416,plain,
    ( $less(0,sK3)
    | ~ spl18_36 ),
    inference(avatar_component_clause,[],[f415]) ).

tff(f499,plain,
    ( spl18_38
    | ~ spl18_11
    | ~ spl18_13
    | ~ spl18_30
    | ~ spl18_36 ),
    inference(avatar_split_clause,[],[f495,f415,f291,f176,f167,f497]) ).

tff(f497,plain,
    ( spl18_38
  <=> ( sF9 = $product(sK3,sF16) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_38])]) ).

tff(f167,plain,
    ( spl18_11
  <=> ( fact1(sK3) = sF9 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_11])]) ).

tff(f176,plain,
    ( spl18_13
  <=> ( fact1(sK6) = sF16 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_13])]) ).

tff(f495,plain,
    ( ( sF9 = $product(sK3,sF16) )
    | ~ spl18_11
    | ~ spl18_13
    | ~ spl18_30
    | ~ spl18_36 ),
    inference(forward_demodulation,[],[f494,f168]) ).

tff(f168,plain,
    ( ( fact1(sK3) = sF9 )
    | ~ spl18_11 ),
    inference(avatar_component_clause,[],[f167]) ).

tff(f494,plain,
    ( ( fact1(sK3) = $product(sK3,sF16) )
    | ~ spl18_13
    | ~ spl18_30
    | ~ spl18_36 ),
    inference(forward_demodulation,[],[f493,f177]) ).

tff(f177,plain,
    ( ( fact1(sK6) = sF16 )
    | ~ spl18_13 ),
    inference(avatar_component_clause,[],[f176]) ).

tff(f493,plain,
    ( ( fact1(sK3) = $product(sK3,fact1(sK6)) )
    | ~ spl18_30
    | ~ spl18_36 ),
    inference(subsumption_resolution,[],[f485,f416]) ).

tff(f485,plain,
    ( ~ $less(0,sK3)
    | ( fact1(sK3) = $product(sK3,fact1(sK6)) )
    | ~ spl18_30 ),
    inference(superposition,[],[f121,f292]) ).

tff(f121,plain,
    ! [X0: $int] :
      ( ( fact1(X0) = $product(X0,fact1($sum(X0,-1))) )
      | ~ $less(0,X0) ),
    inference(evaluation,[],[f88]) ).

tff(f88,plain,
    ! [X0: $int] :
      ( ~ $less(0,X0)
      | ( fact1(X0) = $product(X0,fact1($sum(X0,$uminus(1)))) ) ),
    inference(cnf_transformation,[],[f65]) ).

tff(f65,plain,
    ! [X0: $int] :
      ( ( fact1(X0) = $product(X0,fact1($sum(X0,$uminus(1)))) )
      | ~ $less(0,X0) ),
    inference(ennf_transformation,[],[f42]) ).

tff(f42,plain,
    ! [X0: $int] :
      ( $less(0,X0)
     => ( fact1(X0) = $product(X0,fact1($sum(X0,$uminus(1)))) ) ),
    inference(rectify,[],[f21]) ).

tff(f21,plain,
    ! [X8: $int] :
      ( $less(0,X8)
     => ( fact1(X8) = $product(X8,fact1($sum(X8,$uminus(1)))) ) ),
    inference(theory_normalization,[],[f18]) ).

tff(f18,axiom,
    ! [X8: $int] :
      ( $less(0,X8)
     => ( fact1(X8) = $product(X8,fact1($difference(X8,1))) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

tff(f472,plain,
    ( spl18_37
    | ~ spl18_25
    | ~ spl18_34 ),
    inference(avatar_split_clause,[],[f447,f406,f271,f470]) ).

tff(f470,plain,
    ( spl18_37
  <=> $less(sK6,sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_37])]) ).

tff(f406,plain,
    ( spl18_34
  <=> $less(0,sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_34])]) ).

tff(f447,plain,
    ( $less(sK6,sK0)
    | ~ spl18_25
    | ~ spl18_34 ),
    inference(resolution,[],[f413,f272]) ).

tff(f413,plain,
    ( ! [X0: $int] :
        ( ~ $less(X0,0)
        | $less(X0,sK0) )
    | ~ spl18_34 ),
    inference(resolution,[],[f407,f30]) ).

tff(f407,plain,
    ( $less(0,sK0)
    | ~ spl18_34 ),
    inference(avatar_component_clause,[],[f406]) ).

tff(f417,plain,
    ( spl18_17
    | spl18_36
    | spl18_16 ),
    inference(avatar_split_clause,[],[f362,f214,f415,f218]) ).

tff(f218,plain,
    ( spl18_17
  <=> ( 0 = sK3 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_17])]) ).

tff(f214,plain,
    ( spl18_16
  <=> $less(sK3,0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_16])]) ).

tff(f362,plain,
    ( ( 0 = sK3 )
    | $less(0,sK3)
    | spl18_16 ),
    inference(resolution,[],[f31,f215]) ).

tff(f215,plain,
    ( ~ $less(sK3,0)
    | spl18_16 ),
    inference(avatar_component_clause,[],[f214]) ).

tff(f411,plain,
    ( spl18_34
    | spl18_35
    | spl18_3 ),
    inference(avatar_split_clause,[],[f358,f131,f409,f406]) ).

tff(f409,plain,
    ( spl18_35
  <=> ( 0 = sK0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_35])]) ).

tff(f131,plain,
    ( spl18_3
  <=> $less(sK0,0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_3])]) ).

tff(f358,plain,
    ( $less(0,sK0)
    | ( 0 = sK0 )
    | spl18_3 ),
    inference(resolution,[],[f31,f132]) ).

tff(f132,plain,
    ( ~ $less(sK0,0)
    | spl18_3 ),
    inference(avatar_component_clause,[],[f131]) ).

tff(f350,plain,
    ( spl18_33
    | ~ spl18_29 ),
    inference(avatar_split_clause,[],[f328,f286,f348]) ).

tff(f348,plain,
    ( spl18_33
  <=> ( sK5 = $product(sK3,sK4) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_33])]) ).

tff(f286,plain,
    ( spl18_29
  <=> ( sK5 = $product(sK4,sK3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_29])]) ).

tff(f328,plain,
    ( ( sK5 = $product(sK3,sK4) )
    | ~ spl18_29 ),
    inference(superposition,[],[f35,f287]) ).

tff(f287,plain,
    ( ( sK5 = $product(sK4,sK3) )
    | ~ spl18_29 ),
    inference(avatar_component_clause,[],[f286]) ).

tff(f35,plain,
    ! [X0: $int,X1: $int] : ( $product(X0,X1) = $product(X1,X0) ),
    introduced(theory_axiom_143,[]) ).

tff(f341,plain,
    ( spl18_32
    | ~ spl18_30 ),
    inference(avatar_split_clause,[],[f311,f291,f339]) ).

tff(f339,plain,
    ( spl18_32
  <=> ( sK6 = $sum(-1,sK3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_32])]) ).

tff(f311,plain,
    ( ( sK6 = $sum(-1,sK3) )
    | ~ spl18_30 ),
    inference(superposition,[],[f24,f292]) ).

tff(f24,plain,
    ! [X0: $int,X1: $int] : ( $sum(X0,X1) = $sum(X1,X0) ),
    introduced(theory_axiom_143,[]) ).

tff(f309,plain,
    ( ~ spl18_31
    | ~ spl18_6 ),
    inference(avatar_split_clause,[],[f305,f144,f307]) ).

tff(f307,plain,
    ( spl18_31
  <=> even1(-1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_31])]) ).

tff(f144,plain,
    ( spl18_6
  <=> even1(0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_6])]) ).

tff(f305,plain,
    ( ~ even1(-1)
    | ~ spl18_6 ),
    inference(subsumption_resolution,[],[f303,f145]) ).

tff(f145,plain,
    ( even1(0)
    | ~ spl18_6 ),
    inference(avatar_component_clause,[],[f144]) ).

tff(f303,plain,
    ( ~ even1(0)
    | ~ even1(-1) ),
    inference(evaluation,[],[f302]) ).

tff(f302,plain,
    ( ~ even1($uminus(1))
    | ~ even1(0) ),
    inference(superposition,[],[f93,f294]) ).

tff(f93,plain,
    ! [X0: $int] :
      ( ~ even1($sum(X0,1))
      | ~ even1(X0) ),
    inference(cnf_transformation,[],[f64]) ).

tff(f64,plain,
    ! [X0: $int] :
      ( ~ even1(X0)
      | ~ even1($sum(X0,1))
      | $false ),
    inference(flattening,[],[f63]) ).

tff(f63,plain,
    ! [X0: $int] :
      ( $false
      | ~ even1($sum(X0,1))
      | ~ even1(X0) ),
    inference(ennf_transformation,[],[f47]) ).

tff(f47,plain,
    ! [X0: $int] :
      ( even1(X0)
     => ( even1($sum(X0,1))
       => $false ) ),
    inference(rectify,[],[f16]) ).

tff(f16,axiom,
    ! [X1: $int] :
      ( even1(X1)
     => ( even1($sum(X1,1))
       => $false ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

tff(f293,plain,
    ( spl18_30
    | ~ spl18_8
    | ~ spl18_18 ),
    inference(avatar_split_clause,[],[f289,f221,f153,f291]) ).

tff(f153,plain,
    ( spl18_8
  <=> ( sF14 = -1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_8])]) ).

tff(f221,plain,
    ( spl18_18
  <=> ( sK6 = sF15 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_18])]) ).

tff(f289,plain,
    ( ( sK6 = $sum(sK3,-1) )
    | ~ spl18_8
    | ~ spl18_18 ),
    inference(forward_demodulation,[],[f250,f222]) ).

tff(f222,plain,
    ( ( sK6 = sF15 )
    | ~ spl18_18 ),
    inference(avatar_component_clause,[],[f221]) ).

tff(f250,plain,
    ( ( sF15 = $sum(sK3,-1) )
    | ~ spl18_8 ),
    inference(forward_demodulation,[],[f113,f154]) ).

tff(f154,plain,
    ( ( sF14 = -1 )
    | ~ spl18_8 ),
    inference(avatar_component_clause,[],[f153]) ).

tff(f113,plain,
    $sum(sK3,sF14) = sF15,
    introduced(function_definition,[new_symbols(definition,[sF15])]) ).

tff(f288,plain,
    ( spl18_29
    | ~ spl18_21 ),
    inference(avatar_split_clause,[],[f284,f240,f286]) ).

tff(f240,plain,
    ( spl18_21
  <=> ( sK5 = sF13 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_21])]) ).

tff(f284,plain,
    ( ( sK5 = $product(sK4,sK3) )
    | ~ spl18_21 ),
    inference(forward_demodulation,[],[f109,f241]) ).

tff(f241,plain,
    ( ( sK5 = sF13 )
    | ~ spl18_21 ),
    inference(avatar_component_clause,[],[f240]) ).

tff(f109,plain,
    $product(sK4,sK3) = sF13,
    introduced(function_definition,[new_symbols(definition,[sF13])]) ).

tff(f283,plain,
    ( spl18_28
    | ~ spl18_5
    | ~ spl18_15 ),
    inference(avatar_split_clause,[],[f261,f185,f140,f281]) ).

tff(f281,plain,
    ( spl18_28
  <=> ( sF8 = $product(sK4,sF9) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_28])]) ).

tff(f140,plain,
    ( spl18_5
  <=> ( sF8 = sF10 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_5])]) ).

tff(f185,plain,
    ( spl18_15
  <=> ( $product(sK4,sF9) = sF10 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_15])]) ).

tff(f261,plain,
    ( ( sF8 = $product(sK4,sF9) )
    | ~ spl18_5
    | ~ spl18_15 ),
    inference(forward_demodulation,[],[f186,f141]) ).

tff(f141,plain,
    ( ( sF8 = sF10 )
    | ~ spl18_5 ),
    inference(avatar_component_clause,[],[f140]) ).

tff(f186,plain,
    ( ( $product(sK4,sF9) = sF10 )
    | ~ spl18_15 ),
    inference(avatar_component_clause,[],[f185]) ).

tff(f279,plain,
    ( spl18_25
    | spl18_17
    | ~ spl18_26
    | ~ spl18_27
    | ~ spl18_1
    | spl18_3
    | ~ spl18_4
    | spl18_16 ),
    inference(avatar_split_clause,[],[f269,f214,f137,f131,f123,f277,f274,f218,f271]) ).

tff(f277,plain,
    ( spl18_27
  <=> ( sF8 = sF17 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_27])]) ).

tff(f123,plain,
    ( spl18_1
  <=> ( sK0 = sK2 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_1])]) ).

tff(f137,plain,
    ( spl18_4
  <=> ( sF8 = sF12 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_4])]) ).

tff(f269,plain,
    ( ~ $less(sK6,sK3)
    | ( 0 = sK3 )
    | ( sF8 != sF17 )
    | $less(sK6,0)
    | ~ spl18_1
    | spl18_3
    | ~ spl18_4
    | spl18_16 ),
    inference(subsumption_resolution,[],[f266,f215]) ).

tff(f266,plain,
    ( ~ $less(sK6,sK3)
    | $less(sK3,0)
    | ( 0 = sK3 )
    | ( sF8 != sF17 )
    | $less(sK6,0)
    | ~ spl18_1
    | spl18_3
    | ~ spl18_4 ),
    inference(subsumption_resolution,[],[f204,f209]) ).

tff(f209,plain,
    ( ( sF8 = sF12 )
    | ~ spl18_4 ),
    inference(avatar_component_clause,[],[f137]) ).

tff(f204,plain,
    ( ( sF8 != sF12 )
    | ( 0 = sK3 )
    | $less(sK6,0)
    | ( sF8 != sF17 )
    | ~ $less(sK6,sK3)
    | $less(sK3,0)
    | ~ spl18_1
    | spl18_3 ),
    inference(subsumption_resolution,[],[f203,f132]) ).

tff(f203,plain,
    ( ( sF8 != sF12 )
    | ( sF8 != sF17 )
    | $less(sK0,0)
    | ~ $less(sK6,sK3)
    | ( 0 = sK3 )
    | $less(sK3,0)
    | $less(sK6,0)
    | ~ spl18_1 ),
    inference(forward_demodulation,[],[f119,f124]) ).

tff(f124,plain,
    ( ( sK0 = sK2 )
    | ~ spl18_1 ),
    inference(avatar_component_clause,[],[f123]) ).

tff(f119,plain,
    ( ~ $less(sK6,sK3)
    | ( 0 = sK3 )
    | ( sF8 != sF17 )
    | $less(sK6,0)
    | $less(sK2,0)
    | ( sF8 != sF12 )
    | $less(sK3,0) ),
    inference(definition_folding,[],[f73,f105,f104,f101,f117,f116,f101]) ).

tff(f116,plain,
    fact1(sK6) = sF16,
    introduced(function_definition,[new_symbols(definition,[sF16])]) ).

tff(f117,plain,
    $product(sK5,sF16) = sF17,
    introduced(function_definition,[new_symbols(definition,[sF17])]) ).

tff(f101,plain,
    fact1(sK0) = sF8,
    introduced(function_definition,[new_symbols(definition,[sF8])]) ).

tff(f104,plain,
    fact1(sK2) = sF11,
    introduced(function_definition,[new_symbols(definition,[sF11])]) ).

tff(f105,plain,
    $product(sK1,sF11) = sF12,
    introduced(function_definition,[new_symbols(definition,[sF12])]) ).

tff(f73,plain,
    ( ( 0 = sK3 )
    | ( fact1(sK0) != $product(sK5,fact1(sK6)) )
    | $less(sK6,0)
    | $less(sK3,0)
    | ~ $less(sK6,sK3)
    | ( fact1(sK0) != $product(sK1,fact1(sK2)) )
    | $less(sK2,0) ),
    inference(cnf_transformation,[],[f61]) ).

tff(f61,plain,
    ? [X0: $int] :
      ( ? [X1: $int] :
          ( ( 1 = X1 )
          & ? [X2: $int] :
              ( ( $less(X2,0)
                | ( fact1(X0) != $product(X1,fact1(X2)) )
                | ? [X3: $int,X4: $int] :
                    ( ( ( ( 0 != X3 )
                        & ? [X5: $int] :
                            ( ? [X6: $int] :
                                ( ( ~ $less(X6,X3)
                                  | $less(X3,0)
                                  | $less(X6,0)
                                  | ( fact1(X0) != $product(X5,fact1(X6)) ) )
                                & ( $sum(X3,$uminus(1)) = X6 ) )
                            & ( $product(X4,X3) = X5 ) ) )
                      | ( ( fact1(X0) != X4 )
                        & ( 0 = X3 ) ) )
                    & ( fact1(X0) = $product(X4,fact1(X3)) )
                    & ~ $less(X3,0) ) )
              & ( X0 = X2 ) ) )
      & ~ $less(X0,0) ),
    inference(flattening,[],[f60]) ).

tff(f60,plain,
    ? [X0: $int] :
      ( ? [X1: $int] :
          ( ? [X2: $int] :
              ( ( ( fact1(X0) != $product(X1,fact1(X2)) )
                | ? [X4: $int,X3: $int] :
                    ( ( ( ( 0 != X3 )
                        & ? [X5: $int] :
                            ( ? [X6: $int] :
                                ( ( ~ $less(X6,X3)
                                  | $less(X3,0)
                                  | $less(X6,0)
                                  | ( fact1(X0) != $product(X5,fact1(X6)) ) )
                                & ( $sum(X3,$uminus(1)) = X6 ) )
                            & ( $product(X4,X3) = X5 ) ) )
                      | ( ( fact1(X0) != X4 )
                        & ( 0 = X3 ) ) )
                    & ~ $less(X3,0)
                    & ( fact1(X0) = $product(X4,fact1(X3)) ) )
                | $less(X2,0) )
              & ( X0 = X2 ) )
          & ( 1 = X1 ) )
      & ~ $less(X0,0) ),
    inference(ennf_transformation,[],[f52]) ).

tff(f52,plain,
    ~ ! [X0: $int] :
        ( ~ $less(X0,0)
       => ! [X1: $int] :
            ( ( 1 = X1 )
           => ! [X2: $int] :
                ( ( X0 = X2 )
               => ( ( fact1(X0) = $product(X1,fact1(X2)) )
                  & ! [X4: $int,X3: $int] :
                      ( ( ~ $less(X3,0)
                        & ( fact1(X0) = $product(X4,fact1(X3)) ) )
                     => ( ( ( 0 = X3 )
                         => ( fact1(X0) = X4 ) )
                        & ( ( 0 != X3 )
                         => ! [X5: $int] :
                              ( ( $product(X4,X3) = X5 )
                             => ! [X6: $int] :
                                  ( ( $sum(X3,$uminus(1)) = X6 )
                                 => ( ( fact1(X0) = $product(X5,fact1(X6)) )
                                    & ~ $less(X6,0)
                                    & ~ $less(X3,0)
                                    & $less(X6,X3) ) ) ) ) ) )
                  & ~ $less(X2,0) ) ) ) ),
    inference(rectify,[],[f22]) ).

tff(f22,plain,
    ~ ! [X1: $int] :
        ( ~ $less(X1,0)
       => ! [X7: $int] :
            ( ( 1 = X7 )
           => ! [X4: $int] :
                ( ( X1 = X4 )
               => ( ( $product(X7,fact1(X4)) = fact1(X1) )
                  & ! [X5: $int,X9: $int] :
                      ( ( ~ $less(X5,0)
                        & ( fact1(X1) = $product(X9,fact1(X5)) ) )
                     => ( ( ( 0 != X5 )
                         => ! [X10: $int] :
                              ( ( $product(X9,X5) = X10 )
                             => ! [X11: $int] :
                                  ( ( $sum(X5,$uminus(1)) = X11 )
                                 => ( $less(X11,X5)
                                    & ( fact1(X1) = $product(X10,fact1(X11)) )
                                    & ~ $less(X5,0)
                                    & ~ $less(X11,0) ) ) ) )
                        & ( ( 0 = X5 )
                         => ( fact1(X1) = X9 ) ) ) )
                  & ~ $less(X4,0) ) ) ) ),
    inference(theory_normalization,[],[f20]) ).

tff(f20,negated_conjecture,
    ~ ! [X1: $int] :
        ( $lesseq(0,X1)
       => ! [X7: $int] :
            ( ( 1 = X7 )
           => ! [X4: $int] :
                ( ( X1 = X4 )
               => ( ( $product(X7,fact1(X4)) = fact1(X1) )
                  & ! [X5: $int,X9: $int] :
                      ( ( $lesseq(0,X5)
                        & ( fact1(X1) = $product(X9,fact1(X5)) ) )
                     => ( ( ( 0 != X5 )
                         => ! [X10: $int] :
                              ( ( $product(X9,X5) = X10 )
                             => ! [X11: $int] :
                                  ( ( $difference(X5,1) = X11 )
                                 => ( $less(X11,X5)
                                    & ( fact1(X1) = $product(X10,fact1(X11)) )
                                    & $lesseq(0,X5)
                                    & $lesseq(0,X11) ) ) ) )
                        & ( ( 0 = X5 )
                         => ( fact1(X1) = X9 ) ) ) )
                  & $lesseq(0,X4) ) ) ) ),
    inference(negated_conjecture,[],[f19]) ).

tff(f19,conjecture,
    ! [X1: $int] :
      ( $lesseq(0,X1)
     => ! [X7: $int] :
          ( ( 1 = X7 )
         => ! [X4: $int] :
              ( ( X1 = X4 )
             => ( ( $product(X7,fact1(X4)) = fact1(X1) )
                & ! [X5: $int,X9: $int] :
                    ( ( $lesseq(0,X5)
                      & ( fact1(X1) = $product(X9,fact1(X5)) ) )
                   => ( ( ( 0 != X5 )
                       => ! [X10: $int] :
                            ( ( $product(X9,X5) = X10 )
                           => ! [X11: $int] :
                                ( ( $difference(X5,1) = X11 )
                               => ( $less(X11,X5)
                                  & ( fact1(X1) = $product(X10,fact1(X11)) )
                                  & $lesseq(0,X5)
                                  & $lesseq(0,X11) ) ) ) )
                      & ( ( 0 = X5 )
                       => ( fact1(X1) = X9 ) ) ) )
                & $lesseq(0,X4) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

tff(f268,plain,
    ( spl18_21
    | spl18_17
    | ~ spl18_1
    | spl18_3
    | ~ spl18_4 ),
    inference(avatar_split_clause,[],[f267,f137,f131,f123,f218,f240]) ).

tff(f267,plain,
    ( ( sK5 = sF13 )
    | ( 0 = sK3 )
    | ~ spl18_1
    | spl18_3
    | ~ spl18_4 ),
    inference(subsumption_resolution,[],[f208,f209]) ).

tff(f208,plain,
    ( ( sF8 != sF12 )
    | ( sK5 = sF13 )
    | ( 0 = sK3 )
    | ~ spl18_1
    | spl18_3 ),
    inference(subsumption_resolution,[],[f207,f132]) ).

tff(f207,plain,
    ( ( sF8 != sF12 )
    | ( 0 = sK3 )
    | ( sK5 = sF13 )
    | $less(sK0,0)
    | ~ spl18_1 ),
    inference(forward_demodulation,[],[f111,f124]) ).

tff(f111,plain,
    ( ( sF8 != sF12 )
    | ( sK5 = sF13 )
    | $less(sK2,0)
    | ( 0 = sK3 ) ),
    inference(definition_folding,[],[f77,f105,f104,f101,f109]) ).

tff(f77,plain,
    ( ( 0 = sK3 )
    | ( sK5 = $product(sK4,sK3) )
    | ( fact1(sK0) != $product(sK1,fact1(sK2)) )
    | $less(sK2,0) ),
    inference(cnf_transformation,[],[f61]) ).

tff(f265,plain,
    ( ~ spl18_5
    | ~ spl18_15
    | ~ spl18_19
    | spl18_20 ),
    inference(avatar_contradiction_clause,[],[f264]) ).

tff(f264,plain,
    ( $false
    | ~ spl18_5
    | ~ spl18_15
    | ~ spl18_19
    | spl18_20 ),
    inference(subsumption_resolution,[],[f263,f237]) ).

tff(f237,plain,
    ( ( sK4 != sF8 )
    | spl18_20 ),
    inference(avatar_component_clause,[],[f236]) ).

tff(f236,plain,
    ( spl18_20
  <=> ( sK4 = sF8 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_20])]) ).

tff(f263,plain,
    ( ( sK4 = sF8 )
    | ~ spl18_5
    | ~ spl18_15
    | ~ spl18_19 ),
    inference(evaluation,[],[f262]) ).

tff(f262,plain,
    ( ( sF8 = $product(sK4,1) )
    | ~ spl18_5
    | ~ spl18_15
    | ~ spl18_19 ),
    inference(forward_demodulation,[],[f261,f233]) ).

tff(f233,plain,
    ( ( 1 = sF9 )
    | ~ spl18_19 ),
    inference(avatar_component_clause,[],[f232]) ).

tff(f232,plain,
    ( spl18_19
  <=> ( 1 = sF9 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_19])]) ).

tff(f260,plain,
    spl18_24,
    inference(avatar_split_clause,[],[f117,f258]) ).

tff(f258,plain,
    ( spl18_24
  <=> ( $product(sK5,sF16) = sF17 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_24])]) ).

tff(f256,plain,
    ( spl18_23
    | ~ spl18_8
    | ~ spl18_17 ),
    inference(avatar_split_clause,[],[f252,f218,f153,f254]) ).

tff(f254,plain,
    ( spl18_23
  <=> ( sF15 = -1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_23])]) ).

tff(f252,plain,
    ( ( sF15 = -1 )
    | ~ spl18_8
    | ~ spl18_17 ),
    inference(evaluation,[],[f251]) ).

tff(f251,plain,
    ( ( sF15 = $sum(0,-1) )
    | ~ spl18_8
    | ~ spl18_17 ),
    inference(forward_demodulation,[],[f250,f219]) ).

tff(f219,plain,
    ( ( 0 = sK3 )
    | ~ spl18_17 ),
    inference(avatar_component_clause,[],[f218]) ).

tff(f249,plain,
    ( spl18_22
    | ~ spl18_17 ),
    inference(avatar_split_clause,[],[f245,f218,f247]) ).

tff(f247,plain,
    ( spl18_22
  <=> ( 0 = sF13 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_22])]) ).

tff(f245,plain,
    ( ( 0 = sF13 )
    | ~ spl18_17 ),
    inference(forward_demodulation,[],[f244,f38]) ).

tff(f38,plain,
    ! [X0: $int] : ( 0 = $product(X0,0) ),
    introduced(theory_axiom_157,[]) ).

tff(f244,plain,
    ( ( sF13 = $product(sK4,0) )
    | ~ spl18_17 ),
    inference(forward_demodulation,[],[f109,f219]) ).

tff(f243,plain,
    ( spl18_18
    | ~ spl18_20
    | ~ spl18_1
    | spl18_3
    | ~ spl18_4 ),
    inference(avatar_split_clause,[],[f230,f137,f131,f123,f236,f221]) ).

tff(f230,plain,
    ( ( sK4 != sF8 )
    | ( sK6 = sF15 )
    | ~ spl18_1
    | spl18_3
    | ~ spl18_4 ),
    inference(subsumption_resolution,[],[f200,f209]) ).

tff(f200,plain,
    ( ( sK4 != sF8 )
    | ( sK6 = sF15 )
    | ( sF8 != sF12 )
    | ~ spl18_1
    | spl18_3 ),
    inference(subsumption_resolution,[],[f199,f132]) ).

tff(f199,plain,
    ( ( sK6 = sF15 )
    | ( sF8 != sF12 )
    | ( sK4 != sF8 )
    | $less(sK0,0)
    | ~ spl18_1 ),
    inference(forward_demodulation,[],[f115,f124]) ).

tff(f115,plain,
    ( ( sF8 != sF12 )
    | ( sK4 != sF8 )
    | $less(sK2,0)
    | ( sK6 = sF15 ) ),
    inference(definition_folding,[],[f75,f105,f104,f101,f113,f112,f101]) ).

tff(f112,plain,
    $uminus(1) = sF14,
    introduced(function_definition,[new_symbols(definition,[sF14])]) ).

tff(f75,plain,
    ( ( sK4 != fact1(sK0) )
    | ( sK6 = $sum(sK3,$uminus(1)) )
    | ( fact1(sK0) != $product(sK1,fact1(sK2)) )
    | $less(sK2,0) ),
    inference(cnf_transformation,[],[f61]) ).

tff(f242,plain,
    ( spl18_21
    | ~ spl18_20
    | ~ spl18_1
    | spl18_3
    | ~ spl18_4 ),
    inference(avatar_split_clause,[],[f227,f137,f131,f123,f236,f240]) ).

tff(f227,plain,
    ( ( sK5 = sF13 )
    | ( sK4 != sF8 )
    | ~ spl18_1
    | spl18_3
    | ~ spl18_4 ),
    inference(subsumption_resolution,[],[f196,f209]) ).

tff(f196,plain,
    ( ( sK4 != sF8 )
    | ( sK5 = sF13 )
    | ( sF8 != sF12 )
    | ~ spl18_1
    | spl18_3 ),
    inference(subsumption_resolution,[],[f195,f132]) ).

tff(f195,plain,
    ( ( sK4 != sF8 )
    | ( sF8 != sF12 )
    | $less(sK0,0)
    | ( sK5 = sF13 )
    | ~ spl18_1 ),
    inference(forward_demodulation,[],[f110,f124]) ).

tff(f110,plain,
    ( ( sK4 != sF8 )
    | $less(sK2,0)
    | ( sF8 != sF12 )
    | ( sK5 = sF13 ) ),
    inference(definition_folding,[],[f78,f105,f104,f101,f109,f101]) ).

tff(f78,plain,
    ( ( sK4 != fact1(sK0) )
    | ( sK5 = $product(sK4,sK3) )
    | ( fact1(sK0) != $product(sK1,fact1(sK2)) )
    | $less(sK2,0) ),
    inference(cnf_transformation,[],[f61]) ).

tff(f238,plain,
    ( ~ spl18_20
    | ~ spl18_1
    | spl18_3
    | ~ spl18_4
    | ~ spl18_17 ),
    inference(avatar_split_clause,[],[f229,f218,f137,f131,f123,f236]) ).

tff(f229,plain,
    ( ( sK4 != sF8 )
    | ~ spl18_1
    | spl18_3
    | ~ spl18_4
    | ~ spl18_17 ),
    inference(subsumption_resolution,[],[f228,f209]) ).

tff(f228,plain,
    ( ( sF8 != sF12 )
    | ( sK4 != sF8 )
    | ~ spl18_1
    | spl18_3
    | ~ spl18_17 ),
    inference(subsumption_resolution,[],[f198,f219]) ).

tff(f198,plain,
    ( ( sF8 != sF12 )
    | ( 0 != sK3 )
    | ( sK4 != sF8 )
    | ~ spl18_1
    | spl18_3 ),
    inference(subsumption_resolution,[],[f197,f132]) ).

tff(f197,plain,
    ( ( sK4 != sF8 )
    | ( sF8 != sF12 )
    | ( 0 != sK3 )
    | $less(sK0,0)
    | ~ spl18_1 ),
    inference(forward_demodulation,[],[f108,f124]) ).

tff(f108,plain,
    ( ( sF8 != sF12 )
    | $less(sK2,0)
    | ( sK4 != sF8 )
    | ( 0 != sK3 ) ),
    inference(definition_folding,[],[f79,f105,f104,f101,f101]) ).

tff(f79,plain,
    ( ( sK4 != fact1(sK0) )
    | ( 0 != sK3 )
    | ( fact1(sK0) != $product(sK1,fact1(sK2)) )
    | $less(sK2,0) ),
    inference(cnf_transformation,[],[f61]) ).

tff(f234,plain,
    ( spl18_19
    | ~ spl18_9
    | ~ spl18_11
    | ~ spl18_17 ),
    inference(avatar_split_clause,[],[f226,f218,f167,f159,f232]) ).

tff(f159,plain,
    ( spl18_9
  <=> ( 1 = fact1(0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_9])]) ).

tff(f226,plain,
    ( ( 1 = sF9 )
    | ~ spl18_9
    | ~ spl18_11
    | ~ spl18_17 ),
    inference(forward_demodulation,[],[f225,f160]) ).

tff(f160,plain,
    ( ( 1 = fact1(0) )
    | ~ spl18_9 ),
    inference(avatar_component_clause,[],[f159]) ).

tff(f225,plain,
    ( ( fact1(0) = sF9 )
    | ~ spl18_11
    | ~ spl18_17 ),
    inference(backward_demodulation,[],[f168,f219]) ).

tff(f223,plain,
    ( spl18_17
    | spl18_18
    | ~ spl18_1
    | spl18_3
    | ~ spl18_4 ),
    inference(avatar_split_clause,[],[f212,f137,f131,f123,f221,f218]) ).

tff(f212,plain,
    ( ( 0 = sK3 )
    | ( sK6 = sF15 )
    | ~ spl18_1
    | spl18_3
    | ~ spl18_4 ),
    inference(subsumption_resolution,[],[f194,f209]) ).

tff(f194,plain,
    ( ( sF8 != sF12 )
    | ( 0 = sK3 )
    | ( sK6 = sF15 )
    | ~ spl18_1
    | spl18_3 ),
    inference(subsumption_resolution,[],[f193,f132]) ).

tff(f193,plain,
    ( $less(sK0,0)
    | ( 0 = sK3 )
    | ( sK6 = sF15 )
    | ( sF8 != sF12 )
    | ~ spl18_1 ),
    inference(forward_demodulation,[],[f114,f124]) ).

tff(f114,plain,
    ( ( sF8 != sF12 )
    | $less(sK2,0)
    | ( sK6 = sF15 )
    | ( 0 = sK3 ) ),
    inference(definition_folding,[],[f76,f105,f104,f101,f113,f112]) ).

tff(f76,plain,
    ( ( 0 = sK3 )
    | ( sK6 = $sum(sK3,$uminus(1)) )
    | ( fact1(sK0) != $product(sK1,fact1(sK2)) )
    | $less(sK2,0) ),
    inference(cnf_transformation,[],[f61]) ).

tff(f216,plain,
    ( ~ spl18_16
    | ~ spl18_1
    | spl18_3
    | ~ spl18_4 ),
    inference(avatar_split_clause,[],[f211,f137,f131,f123,f214]) ).

tff(f211,plain,
    ( ~ $less(sK3,0)
    | ~ spl18_1
    | spl18_3
    | ~ spl18_4 ),
    inference(subsumption_resolution,[],[f206,f209]) ).

tff(f206,plain,
    ( ( sF8 != sF12 )
    | ~ $less(sK3,0)
    | ~ spl18_1
    | spl18_3 ),
    inference(subsumption_resolution,[],[f205,f132]) ).

tff(f205,plain,
    ( $less(sK0,0)
    | ~ $less(sK3,0)
    | ( sF8 != sF12 )
    | ~ spl18_1 ),
    inference(forward_demodulation,[],[f107,f124]) ).

tff(f107,plain,
    ( ( sF8 != sF12 )
    | ~ $less(sK3,0)
    | $less(sK2,0) ),
    inference(definition_folding,[],[f80,f105,f104,f101]) ).

tff(f80,plain,
    ( ~ $less(sK3,0)
    | ( fact1(sK0) != $product(sK1,fact1(sK2)) )
    | $less(sK2,0) ),
    inference(cnf_transformation,[],[f61]) ).

tff(f210,plain,
    ( spl18_4
    | ~ spl18_2
    | ~ spl18_14 ),
    inference(avatar_split_clause,[],[f190,f181,f127,f137]) ).

tff(f127,plain,
    ( spl18_2
  <=> ( 1 = sK1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_2])]) ).

tff(f181,plain,
    ( spl18_14
  <=> ( sF8 = sF11 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_14])]) ).

tff(f190,plain,
    ( ( sF8 = sF12 )
    | ~ spl18_2
    | ~ spl18_14 ),
    inference(evaluation,[],[f189]) ).

tff(f189,plain,
    ( ( sF12 = $product(1,sF8) )
    | ~ spl18_2
    | ~ spl18_14 ),
    inference(forward_demodulation,[],[f188,f128]) ).

tff(f128,plain,
    ( ( 1 = sK1 )
    | ~ spl18_2 ),
    inference(avatar_component_clause,[],[f127]) ).

tff(f188,plain,
    ( ( sF12 = $product(sK1,sF8) )
    | ~ spl18_14 ),
    inference(forward_demodulation,[],[f105,f182]) ).

tff(f182,plain,
    ( ( sF8 = sF11 )
    | ~ spl18_14 ),
    inference(avatar_component_clause,[],[f181]) ).

tff(f192,plain,
    ( ~ spl18_2
    | spl18_4
    | ~ spl18_14 ),
    inference(avatar_contradiction_clause,[],[f191]) ).

tff(f191,plain,
    ( $false
    | ~ spl18_2
    | spl18_4
    | ~ spl18_14 ),
    inference(subsumption_resolution,[],[f190,f138]) ).

tff(f138,plain,
    ( ( sF8 != sF12 )
    | spl18_4 ),
    inference(avatar_component_clause,[],[f137]) ).

tff(f187,plain,
    spl18_15,
    inference(avatar_split_clause,[],[f103,f185]) ).

tff(f103,plain,
    $product(sK4,sF9) = sF10,
    introduced(function_definition,[new_symbols(definition,[sF10])]) ).

tff(f183,plain,
    ( spl18_14
    | ~ spl18_10
    | ~ spl18_12 ),
    inference(avatar_split_clause,[],[f179,f172,f163,f181]) ).

tff(f163,plain,
    ( spl18_10
  <=> ( fact1(sK0) = sF8 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_10])]) ).

tff(f172,plain,
    ( spl18_12
  <=> ( fact1(sK0) = sF11 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_12])]) ).

tff(f179,plain,
    ( ( sF8 = sF11 )
    | ~ spl18_10
    | ~ spl18_12 ),
    inference(backward_demodulation,[],[f173,f164]) ).

tff(f164,plain,
    ( ( fact1(sK0) = sF8 )
    | ~ spl18_10 ),
    inference(avatar_component_clause,[],[f163]) ).

tff(f173,plain,
    ( ( fact1(sK0) = sF11 )
    | ~ spl18_12 ),
    inference(avatar_component_clause,[],[f172]) ).

tff(f178,plain,
    spl18_13,
    inference(avatar_split_clause,[],[f116,f176]) ).

tff(f174,plain,
    ( spl18_12
    | ~ spl18_1 ),
    inference(avatar_split_clause,[],[f170,f123,f172]) ).

tff(f170,plain,
    ( ( fact1(sK0) = sF11 )
    | ~ spl18_1 ),
    inference(forward_demodulation,[],[f104,f124]) ).

tff(f169,plain,
    spl18_11,
    inference(avatar_split_clause,[],[f102,f167]) ).

tff(f102,plain,
    fact1(sK3) = sF9,
    introduced(function_definition,[new_symbols(definition,[sF9])]) ).

tff(f165,plain,
    spl18_10,
    inference(avatar_split_clause,[],[f101,f163]) ).

tff(f161,plain,
    spl18_9,
    inference(avatar_split_clause,[],[f86,f159]) ).

tff(f86,plain,
    1 = fact1(0),
    inference(cnf_transformation,[],[f17]) ).

tff(f17,axiom,
    1 = fact1(0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

tff(f155,plain,
    spl18_8,
    inference(avatar_split_clause,[],[f120,f153]) ).

tff(f120,plain,
    sF14 = -1,
    inference(evaluation,[],[f112]) ).

tff(f151,plain,
    ~ spl18_7,
    inference(avatar_split_clause,[],[f95,f149]) ).

tff(f149,plain,
    ( spl18_7
  <=> ( true1 = false1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_7])]) ).

tff(f95,plain,
    true1 != false1,
    inference(cnf_transformation,[],[f5]) ).

tff(f5,axiom,
    true1 != false1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

tff(f146,plain,
    spl18_6,
    inference(avatar_split_clause,[],[f85,f144]) ).

tff(f85,plain,
    even1(0),
    inference(cnf_transformation,[],[f13]) ).

tff(f13,axiom,
    even1(0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

tff(f142,plain,
    ( ~ spl18_4
    | spl18_5
    | ~ spl18_1
    | spl18_3 ),
    inference(avatar_split_clause,[],[f135,f131,f123,f140,f137]) ).

tff(f135,plain,
    ( ( sF8 = sF10 )
    | ( sF8 != sF12 )
    | ~ spl18_1
    | spl18_3 ),
    inference(subsumption_resolution,[],[f134,f132]) ).

tff(f134,plain,
    ( $less(sK0,0)
    | ( sF8 != sF12 )
    | ( sF8 = sF10 )
    | ~ spl18_1 ),
    inference(forward_demodulation,[],[f106,f124]) ).

tff(f106,plain,
    ( $less(sK2,0)
    | ( sF8 = sF10 )
    | ( sF8 != sF12 ) ),
    inference(definition_folding,[],[f81,f105,f104,f101,f103,f102,f101]) ).

tff(f81,plain,
    ( ( fact1(sK0) = $product(sK4,fact1(sK3)) )
    | ( fact1(sK0) != $product(sK1,fact1(sK2)) )
    | $less(sK2,0) ),
    inference(cnf_transformation,[],[f61]) ).

tff(f133,plain,
    ~ spl18_3,
    inference(avatar_split_clause,[],[f84,f131]) ).

tff(f84,plain,
    ~ $less(sK0,0),
    inference(cnf_transformation,[],[f61]) ).

tff(f129,plain,
    spl18_2,
    inference(avatar_split_clause,[],[f83,f127]) ).

tff(f83,plain,
    1 = sK1,
    inference(cnf_transformation,[],[f61]) ).

tff(f125,plain,
    spl18_1,
    inference(avatar_split_clause,[],[f82,f123]) ).

tff(f82,plain,
    sK0 = sK2,
    inference(cnf_transformation,[],[f61]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : SWW642_2 : TPTP v8.2.0. Released v6.1.0.
% 0.03/0.13  % Command    : run_vampire %s %d THM
% 0.13/0.35  % Computer : n022.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Wed Jun 19 04:20:54 EDT 2024
% 0.13/0.35  % CPUTime    : 
% 0.13/0.37  This is a TF0_THM_EQU_ARI problem
% 0.13/0.37  Running first-order theorem proving
% 0.13/0.37  Running /export/starexec/sandbox/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.23/0.44  % (5534)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.44  % (5536)lrs+1010_1:1_aac=none:bce=on:nicw=on:nm=0:plsq=on:plsql=on:sac=on:sos=on:sp=frequency:spb=units:to=lpo:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.23/0.44  % (5534)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.44  % (5535)dis+1010_1:4_aac=none:abs=on:atotf=0.5:avsq=on:avsqc=2:avsqr=215,247:awrs=converge:awrsf=128:bsd=on:erd=off:fde=none:gve=cautious:newcnf=on:nwc=5.0:rnwc=on:sac=on:sas=z3:sp=const_min:tgt=ground:thsq=on:thsqc=64:thsqr=1,4:i=59848:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59848Mi)
% 0.23/0.44  % (5534)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.44  % (5539)ott+1011_1:2_br=off:bs=unit_only:bsr=unit_only:nwc=5.0:s2a=on:s2agt=32:urr=on:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.23/0.44  % (5534)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.44  % (5538)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=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.23/0.44  % (5534)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.44  % (5541)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=32:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/32Mi)
% 0.23/0.44  % (5534)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.44  % (5540)lrs+10_1:32_s2a=on:s2agt=10:sgt=8:ss=axioms:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.23/0.44  % (5534)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.44  % (5537)dis+1011_1:64_drc=off:flr=on:nwc=2.0:sac=on:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.23/0.44  % (5538)Instruction limit reached!
% 0.23/0.44  % (5538)------------------------------
% 0.23/0.44  % (5538)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.23/0.44  % (5538)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.23/0.44  % (5538)Termination reason: Time limit
% 0.23/0.44  % (5538)Termination phase: SInE selection
% 0.23/0.44  
% 0.23/0.44  % (5538)Memory used [KB]: 747
% 0.23/0.44  % (5538)Time elapsed: 0.003 s
% 0.23/0.44  % (5538)Instructions burned: 2 (million)
% 0.23/0.44  % (5537)Instruction limit reached!
% 0.23/0.44  % (5537)------------------------------
% 0.23/0.44  % (5537)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.23/0.44  % (5537)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.23/0.44  % (5537)Termination reason: Time limit
% 0.23/0.44  % (5537)Termination phase: Saturation
% 0.23/0.44  
% 0.23/0.44  % (5537)Memory used [KB]: 885
% 0.23/0.44  % (5537)Time elapsed: 0.008 s
% 0.23/0.44  % (5537)Instructions burned: 8 (million)
% 0.23/0.45  % (5540)Instruction limit reached!
% 0.23/0.45  % (5540)------------------------------
% 0.23/0.45  % (5540)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.23/0.45  % (5540)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.23/0.45  % (5540)Termination reason: Time limit
% 0.23/0.45  % (5540)Termination phase: Saturation
% 0.23/0.45  
% 0.23/0.45  % (5540)Memory used [KB]: 926
% 0.23/0.45  % (5540)Time elapsed: 0.013 s
% 0.23/0.45  % (5540)Instructions burned: 16 (million)
% 0.23/0.46  % (5541)Instruction limit reached!
% 0.23/0.46  % (5541)------------------------------
% 0.23/0.46  % (5541)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.23/0.46  % (5541)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.23/0.46  % (5541)Termination reason: Time limit
% 0.23/0.46  % (5541)Termination phase: Saturation
% 0.23/0.46  
% 0.23/0.46  % (5541)Memory used [KB]: 1298
% 0.23/0.46  % (5541)Time elapsed: 0.024 s
% 0.23/0.46  % (5541)Instructions burned: 33 (million)
% 0.23/0.46  % (5536)Instruction limit reached!
% 0.23/0.46  % (5536)------------------------------
% 0.23/0.46  % (5536)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.23/0.46  % (5536)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.23/0.46  % (5536)Termination reason: Time limit
% 0.23/0.46  % (5536)Termination phase: Saturation
% 0.23/0.46  
% 0.23/0.46  % (5536)Memory used [KB]: 1135
% 0.23/0.46  % (5536)Time elapsed: 0.024 s
% 0.23/0.46  % (5536)Instructions burned: 34 (million)
% 0.23/0.46  % (5539)Instruction limit reached!
% 0.23/0.46  % (5539)------------------------------
% 0.23/0.46  % (5539)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.23/0.46  % (5539)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.23/0.46  % (5539)Termination reason: Time limit
% 0.23/0.46  % (5539)Termination phase: Saturation
% 0.23/0.46  
% 0.23/0.46  % (5539)Memory used [KB]: 1291
% 0.23/0.46  % (5539)Time elapsed: 0.026 s
% 0.23/0.46  % (5539)Instructions burned: 38 (million)
% 0.23/0.50  % (5534)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.50  % (5542)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=36:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/36Mi)
% 0.23/0.50  % (5534)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.50  % (5543)lrs+1010_1:1_ep=RST:s2a=on:s2at=5.0:sos=all:i=26:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/26Mi)
% 0.23/0.50  % (5534)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.50  % (5547)lrs+10_1:1_ep=R:gve=force:plsq=on:plsqr=32,1:uwa=one_side_interpreted:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.23/0.50  % (5547)Instruction limit reached!
% 0.23/0.50  % (5547)------------------------------
% 0.23/0.50  % (5547)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.23/0.50  % (5547)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.23/0.50  % (5547)Termination reason: Time limit
% 0.23/0.50  % (5547)Termination phase: shuffling
% 0.23/0.50  
% 0.23/0.50  % (5547)Memory used [KB]: 813
% 0.23/0.50  % (5547)Time elapsed: 0.002 s
% 0.23/0.50  % (5547)Instructions burned: 2 (million)
% 0.23/0.51  % (5534)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.51  % (5544)lrs+10_1:8_ep=R:erd=off:fs=off:fsr=off:gve=force:nwc=2.0:uwa=one_side_interpreted:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.23/0.51  % (5544)Instruction limit reached!
% 0.23/0.51  % (5544)------------------------------
% 0.23/0.51  % (5544)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.23/0.51  % (5544)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.23/0.51  % (5544)Termination reason: Time limit
% 0.23/0.51  % (5544)Termination phase: Preprocessing 2
% 0.23/0.51  
% 0.23/0.51  % (5544)Memory used [KB]: 814
% 0.23/0.51  % (5544)Time elapsed: 0.003 s
% 0.23/0.51  % (5544)Instructions burned: 2 (million)
% 0.23/0.51  % (5534)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.51  % (5545)lrs+10_1:1_canc=force:tha=some:to=lpo:i=35:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/35Mi)
% 0.23/0.51  % (5543)Instruction limit reached!
% 0.23/0.51  % (5543)------------------------------
% 0.23/0.51  % (5543)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.23/0.51  % (5543)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.23/0.51  % (5543)Termination reason: Time limit
% 0.23/0.51  % (5543)Termination phase: Saturation
% 0.23/0.51  
% 0.23/0.51  % (5543)Memory used [KB]: 1193
% 0.23/0.51  % (5543)Time elapsed: 0.015 s
% 0.23/0.51  % (5543)Instructions burned: 27 (million)
% 0.23/0.52  % (5534)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.52  % (5546)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.23/0.52  % (5546)Instruction limit reached!
% 0.23/0.52  % (5546)------------------------------
% 0.23/0.52  % (5546)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.23/0.52  % (5546)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.23/0.52  % (5546)Termination reason: Time limit
% 0.23/0.52  % (5546)Termination phase: Saturation
% 0.23/0.52  
% 0.23/0.52  % (5546)Memory used [KB]: 932
% 0.23/0.52  % (5546)Time elapsed: 0.004 s
% 0.23/0.52  % (5546)Instructions burned: 4 (million)
% 0.23/0.52  % (5542)Instruction limit reached!
% 0.23/0.52  % (5542)------------------------------
% 0.23/0.52  % (5542)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.23/0.52  % (5542)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.23/0.52  % (5542)Termination reason: Time limit
% 0.23/0.52  % (5542)Termination phase: Saturation
% 0.23/0.52  
% 0.23/0.52  % (5542)Memory used [KB]: 1286
% 0.23/0.52  % (5542)Time elapsed: 0.023 s
% 0.23/0.52  % (5542)Instructions burned: 38 (million)
% 0.23/0.52  % (5545)Instruction limit reached!
% 0.23/0.52  % (5545)------------------------------
% 0.23/0.52  % (5545)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.23/0.52  % (5545)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.23/0.52  % (5545)Termination reason: Time limit
% 0.23/0.52  % (5545)Termination phase: Saturation
% 0.23/0.52  
% 0.23/0.52  % (5545)Memory used [KB]: 1199
% 0.23/0.52  % (5545)Time elapsed: 0.015 s
% 0.23/0.52  % (5545)Instructions burned: 36 (million)
% 1.20/0.54  % (5534)Running in auto input_syntax mode. Trying TPTP
% 1.20/0.54  % (5548)dis+10_1:64_nwc=1.4:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/21Mi)
% 1.20/0.55  % (5534)Running in auto input_syntax mode. Trying TPTP
% 1.20/0.55  % (5549)lrs+22_1:1_amm=sco:fsr=off:gve=force:sos=on:uwa=all:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/50Mi)
% 1.29/0.55  % (5548)Instruction limit reached!
% 1.29/0.55  % (5548)------------------------------
% 1.29/0.55  % (5548)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.29/0.55  % (5548)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.29/0.55  % (5548)Termination reason: Time limit
% 1.29/0.55  % (5548)Termination phase: Saturation
% 1.29/0.55  
% 1.29/0.55  % (5548)Memory used [KB]: 1015
% 1.29/0.55  % (5548)Time elapsed: 0.011 s
% 1.29/0.55  % (5548)Instructions burned: 24 (million)
% 1.29/0.55  % (5534)Running in auto input_syntax mode. Trying TPTP
% 1.29/0.55  % (5550)dis+20_1:12_aac=none:acc=model:awrs=converge:fd=preordered:fsr=off:nicw=on:nwc=3.0:s2a=on:s2agt=16:spb=goal:to=lpo:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/2Mi)
% 1.29/0.55  % (5550)Instruction limit reached!
% 1.29/0.55  % (5550)------------------------------
% 1.29/0.55  % (5550)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.29/0.55  % (5550)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.29/0.55  % (5550)Termination reason: Time limit
% 1.29/0.55  % (5550)Termination phase: Saturation
% 1.29/0.55  
% 1.29/0.55  % (5550)Memory used [KB]: 837
% 1.29/0.55  % (5550)Time elapsed: 0.003 s
% 1.29/0.55  % (5550)Instructions burned: 4 (million)
% 1.29/0.55  % (5534)Running in auto input_syntax mode. Trying TPTP
% 1.29/0.55  % (5551)lrs+10_1:1_ev=force:gve=cautious:tha=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/2Mi)
% 1.29/0.55  % (5534)Running in auto input_syntax mode. Trying TPTP
% 1.29/0.55  % (5552)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/49Mi)
% 1.29/0.55  % (5551)Instruction limit reached!
% 1.29/0.55  % (5551)------------------------------
% 1.29/0.55  % (5551)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.29/0.55  % (5551)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.29/0.55  % (5551)Termination reason: Time limit
% 1.29/0.55  % (5551)Termination phase: Property scanning
% 1.29/0.55  
% 1.29/0.55  % (5551)Memory used [KB]: 827
% 1.29/0.55  % (5551)Time elapsed: 0.002 s
% 1.29/0.55  % (5551)Instructions burned: 3 (million)
% 1.29/0.56  % (5534)Running in auto input_syntax mode. Trying TPTP
% 1.29/0.56  % (5553)lrs+10_1:1_ss=axioms:st=5.0:tha=off:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/15Mi)
% 1.29/0.56  % (5549)Instruction limit reached!
% 1.29/0.56  % (5549)------------------------------
% 1.29/0.56  % (5549)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.29/0.56  % (5549)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.29/0.56  % (5549)Termination reason: Time limit
% 1.29/0.56  % (5549)Termination phase: Saturation
% 1.29/0.56  
% 1.29/0.56  % (5549)Memory used [KB]: 1435
% 1.29/0.56  % (5549)Time elapsed: 0.020 s
% 1.29/0.56  % (5549)Instructions burned: 51 (million)
% 1.29/0.57  % (5553)Instruction limit reached!
% 1.29/0.57  % (5553)------------------------------
% 1.29/0.57  % (5553)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.29/0.57  % (5553)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.29/0.57  % (5553)Termination reason: Time limit
% 1.29/0.57  % (5553)Termination phase: Saturation
% 1.29/0.57  
% 1.29/0.57  % (5553)Memory used [KB]: 958
% 1.29/0.57  % (5553)Time elapsed: 0.009 s
% 1.29/0.57  % (5553)Instructions burned: 17 (million)
% 1.29/0.57  % (5552)Instruction limit reached!
% 1.29/0.57  % (5552)------------------------------
% 1.29/0.57  % (5552)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.29/0.57  % (5552)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.29/0.57  % (5552)Termination reason: Time limit
% 1.29/0.57  % (5552)Termination phase: Saturation
% 1.29/0.57  
% 1.29/0.57  % (5552)Memory used [KB]: 1346
% 1.29/0.57  % (5552)Time elapsed: 0.022 s
% 1.29/0.57  % (5552)Instructions burned: 51 (million)
% 1.29/0.58  % (5534)Running in auto input_syntax mode. Trying TPTP
% 1.29/0.58  % (5554)lrs+10_1:1_sd=10:sos=all:ss=axioms:st=5.0:tha=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/2Mi)
% 1.29/0.58  % (5554)Instruction limit reached!
% 1.29/0.58  % (5554)------------------------------
% 1.29/0.58  % (5554)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.29/0.58  % (5554)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.29/0.58  % (5554)Termination reason: Time limit
% 1.29/0.58  % (5554)Termination phase: Preprocessing 1
% 1.29/0.58  
% 1.29/0.58  % (5554)Memory used [KB]: 744
% 1.29/0.58  % (5554)Time elapsed: 0.002 s
% 1.29/0.58  % (5554)Instructions burned: 2 (million)
% 1.29/0.59  % (5534)Running in auto input_syntax mode. Trying TPTP
% 1.29/0.59  % (5555)dis+1002_1:5_av=off:nwc=2.0:sos=all:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/15Mi)
% 1.29/0.59  % (5534)Running in auto input_syntax mode. Trying TPTP
% 1.29/0.59  % (5556)dis+10_1:64_nwc=1.4:rp=on:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/21Mi)
% 1.29/0.59  % (5555)Instruction limit reached!
% 1.29/0.59  % (5555)------------------------------
% 1.29/0.59  % (5555)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.29/0.59  % (5555)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.29/0.59  % (5555)Termination reason: Time limit
% 1.29/0.59  % (5555)Termination phase: Saturation
% 1.29/0.59  
% 1.29/0.59  % (5555)Memory used [KB]: 990
% 1.29/0.59  % (5555)Time elapsed: 0.007 s
% 1.29/0.59  % (5555)Instructions burned: 15 (million)
% 1.29/0.59  % (5535)First to succeed.
% 1.29/0.60  % (5535)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-5534"
% 1.29/0.60  % (5556)Instruction limit reached!
% 1.29/0.60  % (5556)------------------------------
% 1.29/0.60  % (5556)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.29/0.60  % (5556)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.29/0.60  % (5556)Termination reason: Time limit
% 1.29/0.60  % (5556)Termination phase: Saturation
% 1.29/0.60  
% 1.29/0.60  % (5556)Memory used [KB]: 1067
% 1.29/0.60  % (5556)Time elapsed: 0.010 s
% 1.29/0.60  % (5556)Instructions burned: 24 (million)
% 1.29/0.60  % (5534)Running in auto input_syntax mode. Trying TPTP
% 1.29/0.60  % (5557)dis+2_1:1_av=off:bsr=on:erd=off:s2pl=on:sgt=16:sos=on:sp=frequency:ss=axioms:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/46Mi)
% 1.29/0.60  % (5534)Running in auto input_syntax mode. Trying TPTP
% 1.29/0.60  % (5535)Refutation found. Thanks to Tanya!
% 1.29/0.60  % SZS status Theorem for theBenchmark
% 1.29/0.60  % SZS output start Proof for theBenchmark
% See solution above
% 1.29/0.60  % (5535)------------------------------
% 1.29/0.60  % (5535)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.29/0.60  % (5535)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.29/0.60  % (5535)Termination reason: Refutation
% 1.29/0.60  
% 1.29/0.60  % (5535)Memory used [KB]: 1517
% 1.29/0.60  % (5535)Time elapsed: 0.157 s
% 1.29/0.60  % (5535)Instructions burned: 279 (million)
% 1.29/0.60  % (5535)------------------------------
% 1.29/0.60  % (5535)------------------------------
% 1.29/0.60  % (5534)Success in time 0.203 s
%------------------------------------------------------------------------------