TSTP Solution File: ARI178_1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : ARI178_1 : TPTP v8.1.0. Released v5.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% Computer : n023.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 15:45:34 EDT 2022

% Result   : Theorem 2.24s 0.68s
% Output   : Refutation 2.24s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   49
% Syntax   : Number of formulae    :  145 (  22 unt;   9 typ;   0 def)
%            Number of atoms       :  302 (  89 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  275 ( 109   ~; 127   |;   7   &)
%                                         (  29 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number arithmetic     :  288 (  37 atm;  88 fun; 135 num;  28 var)
%            Number of types       :    1 (   0 usr;   1 ari)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   32 (  29 usr;  30 prp; 0-2 aty)
%            Number of functors    :   15 (   9 usr;  13 con; 0-2 aty)
%            Number of variables   :   28 (  22   !;   6   ?;  28   :)

% Comments : 
%------------------------------------------------------------------------------
tff(func_def_7,type,
    sK0: $int ).

tff(func_def_8,type,
    sK1: $int ).

tff(func_def_9,type,
    sK2: $int ).

tff(func_def_10,type,
    sF3: $int ).

tff(func_def_11,type,
    sF4: $int ).

tff(func_def_12,type,
    sF5: $int ).

tff(func_def_13,type,
    sF6: $int ).

tff(func_def_14,type,
    sF7: $int ).

tff(func_def_15,type,
    sF8: $int ).

tff(f428,plain,
    $false,
    inference(avatar_smt_refutation,[],[f38,f42,f46,f50,f54,f60,f67,f71,f72,f76,f82,f90,f91,f95,f100,f113,f114,f115,f116,f216,f224,f321,f359,f367,f381,f385,f389,f409,f415,f425,f427]) ).

tff(f427,plain,
    ( ~ spl9_8
    | ~ spl9_19
    | ~ spl9_26 ),
    inference(avatar_contradiction_clause,[],[f426]) ).

tff(f426,plain,
    ( $false
    | ~ spl9_8
    | ~ spl9_19
    | ~ spl9_26 ),
    inference(evaluation,[],[f417]) ).

tff(f417,plain,
    ( $less(20,10)
    | ~ spl9_8
    | ~ spl9_19
    | ~ spl9_26 ),
    inference(backward_demodulation,[],[f320,f416]) ).

tff(f416,plain,
    ( ( 20 = sF6 )
    | ~ spl9_8
    | ~ spl9_26 ),
    inference(evaluation,[],[f411]) ).

tff(f411,plain,
    ( ( $product(2,10) = sF6 )
    | ~ spl9_8
    | ~ spl9_26 ),
    inference(backward_demodulation,[],[f70,f401]) ).

tff(f401,plain,
    ( ( 10 = sK0 )
    | ~ spl9_26 ),
    inference(superposition,[],[f388,f102]) ).

tff(f102,plain,
    ! [X0: $int] : ( $sum(0,X0) = X0 ),
    inference(superposition,[],[f3,f5]) ).

tff(f5,plain,
    ! [X0: $int] : ( $sum(X0,0) = X0 ),
    introduced(theory_axiom_142,[]) ).

tff(f3,plain,
    ! [X0: $int,X1: $int] : ( $sum(X0,X1) = $sum(X1,X0) ),
    introduced(theory_axiom_140,[]) ).

tff(f388,plain,
    ( ( 10 = $sum(0,sK0) )
    | ~ spl9_26 ),
    inference(avatar_component_clause,[],[f387]) ).

tff(f387,plain,
    ( spl9_26
  <=> ( 10 = $sum(0,sK0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_26])]) ).

tff(f70,plain,
    ( ( sF6 = $product(2,sK0) )
    | ~ spl9_8 ),
    inference(avatar_component_clause,[],[f69]) ).

tff(f69,plain,
    ( spl9_8
  <=> ( sF6 = $product(2,sK0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_8])]) ).

tff(f320,plain,
    ( $less(sF6,10)
    | ~ spl9_19 ),
    inference(avatar_component_clause,[],[f319]) ).

tff(f319,plain,
    ( spl9_19
  <=> $less(sF6,10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_19])]) ).

tff(f425,plain,
    ( spl9_29
    | ~ spl9_8
    | ~ spl9_26 ),
    inference(avatar_split_clause,[],[f416,f387,f69,f423]) ).

tff(f423,plain,
    ( spl9_29
  <=> ( 20 = sF6 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_29])]) ).

tff(f415,plain,
    ( spl9_28
    | ~ spl9_26 ),
    inference(avatar_split_clause,[],[f401,f387,f413]) ).

tff(f413,plain,
    ( spl9_28
  <=> ( 10 = sK0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_28])]) ).

tff(f409,plain,
    ( spl9_27
    | ~ spl9_14
    | spl9_20
    | spl9_22 ),
    inference(avatar_split_clause,[],[f372,f362,f354,f111,f407]) ).

tff(f407,plain,
    ( spl9_27
  <=> ( 10 = $sum(sK0,0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_27])]) ).

tff(f111,plain,
    ( spl9_14
  <=> ( 10 = $sum(sK0,sF3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_14])]) ).

tff(f354,plain,
    ( spl9_20
  <=> $less(sF3,0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_20])]) ).

tff(f362,plain,
    ( spl9_22
  <=> $less(0,sF3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_22])]) ).

tff(f372,plain,
    ( ( 10 = $sum(sK0,0) )
    | ~ spl9_14
    | spl9_20
    | spl9_22 ),
    inference(backward_demodulation,[],[f112,f369]) ).

tff(f369,plain,
    ( ( 0 = sF3 )
    | spl9_20
    | spl9_22 ),
    inference(subsumption_resolution,[],[f368,f355]) ).

tff(f355,plain,
    ( ~ $less(sF3,0)
    | spl9_20 ),
    inference(avatar_component_clause,[],[f354]) ).

tff(f368,plain,
    ( $less(sF3,0)
    | ( 0 = sF3 )
    | spl9_22 ),
    inference(resolution,[],[f363,f10]) ).

tff(f10,plain,
    ! [X0: $int,X1: $int] :
      ( $less(X1,X0)
      | $less(X0,X1)
      | ( X0 = X1 ) ),
    introduced(theory_axiom_149,[]) ).

tff(f363,plain,
    ( ~ $less(0,sF3)
    | spl9_22 ),
    inference(avatar_component_clause,[],[f362]) ).

tff(f112,plain,
    ( ( 10 = $sum(sK0,sF3) )
    | ~ spl9_14 ),
    inference(avatar_component_clause,[],[f111]) ).

tff(f389,plain,
    ( spl9_26
    | ~ spl9_12
    | spl9_20
    | spl9_22 ),
    inference(avatar_split_clause,[],[f371,f362,f354,f93,f387]) ).

tff(f93,plain,
    ( spl9_12
  <=> ( 10 = $sum(sF3,sK0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_12])]) ).

tff(f371,plain,
    ( ( 10 = $sum(0,sK0) )
    | ~ spl9_12
    | spl9_20
    | spl9_22 ),
    inference(backward_demodulation,[],[f94,f369]) ).

tff(f94,plain,
    ( ( 10 = $sum(sF3,sK0) )
    | ~ spl9_12 ),
    inference(avatar_component_clause,[],[f93]) ).

tff(f385,plain,
    ( spl9_25
    | ~ spl9_4
    | spl9_20
    | spl9_22 ),
    inference(avatar_split_clause,[],[f370,f362,f354,f48,f383]) ).

tff(f383,plain,
    ( spl9_25
  <=> ( 0 = $product(2,sK2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_25])]) ).

tff(f48,plain,
    ( spl9_4
  <=> ( sF3 = $product(2,sK2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_4])]) ).

tff(f370,plain,
    ( ( 0 = $product(2,sK2) )
    | ~ spl9_4
    | spl9_20
    | spl9_22 ),
    inference(backward_demodulation,[],[f49,f369]) ).

tff(f49,plain,
    ( ( sF3 = $product(2,sK2) )
    | ~ spl9_4 ),
    inference(avatar_component_clause,[],[f48]) ).

tff(f381,plain,
    ( spl9_24
    | spl9_20
    | spl9_22 ),
    inference(avatar_split_clause,[],[f369,f362,f354,f379]) ).

tff(f379,plain,
    ( spl9_24
  <=> ( 0 = sF3 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_24])]) ).

tff(f367,plain,
    ( ~ spl9_22
    | spl9_23
    | ~ spl9_12 ),
    inference(avatar_split_clause,[],[f326,f93,f365,f362]) ).

tff(f365,plain,
    ( spl9_23
  <=> $less(sK0,10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_23])]) ).

tff(f326,plain,
    ( $less(sK0,10)
    | ~ $less(0,sF3)
    | ~ spl9_12 ),
    inference(superposition,[],[f176,f102]) ).

tff(f176,plain,
    ( ! [X17: $int] :
        ( $less($sum(X17,sK0),10)
        | ~ $less(X17,sF3) )
    | ~ spl9_12 ),
    inference(superposition,[],[f11,f94]) ).

tff(f11,plain,
    ! [X2: $int,X0: $int,X1: $int] :
      ( $less($sum(X0,X2),$sum(X1,X2))
      | ~ $less(X0,X1) ),
    introduced(theory_axiom_150,[]) ).

tff(f359,plain,
    ( ~ spl9_20
    | spl9_21
    | ~ spl9_12 ),
    inference(avatar_split_clause,[],[f307,f93,f357,f354]) ).

tff(f357,plain,
    ( spl9_21
  <=> $less(10,sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_21])]) ).

tff(f307,plain,
    ( $less(10,sK0)
    | ~ $less(sF3,0)
    | ~ spl9_12 ),
    inference(superposition,[],[f167,f102]) ).

tff(f167,plain,
    ( ! [X17: $int] :
        ( $less(10,$sum(X17,sK0))
        | ~ $less(sF3,X17) )
    | ~ spl9_12 ),
    inference(superposition,[],[f11,f94]) ).

tff(f321,plain,
    ( spl9_19
    | ~ spl9_13
    | ~ spl9_17 ),
    inference(avatar_split_clause,[],[f317,f219,f98,f319]) ).

tff(f98,plain,
    ( spl9_13
  <=> ( 10 = $sum(sK2,sF6) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_13])]) ).

tff(f219,plain,
    ( spl9_17
  <=> $less(0,sK2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_17])]) ).

tff(f317,plain,
    ( $less(sF6,10)
    | ~ spl9_13
    | ~ spl9_17 ),
    inference(subsumption_resolution,[],[f314,f220]) ).

tff(f220,plain,
    ( $less(0,sK2)
    | ~ spl9_17 ),
    inference(avatar_component_clause,[],[f219]) ).

tff(f314,plain,
    ( $less(sF6,10)
    | ~ $less(0,sK2)
    | ~ spl9_13 ),
    inference(superposition,[],[f175,f102]) ).

tff(f175,plain,
    ( ! [X16: $int] :
        ( $less($sum(X16,sF6),10)
        | ~ $less(X16,sK2) )
    | ~ spl9_13 ),
    inference(superposition,[],[f11,f99]) ).

tff(f99,plain,
    ( ( 10 = $sum(sK2,sF6) )
    | ~ spl9_13 ),
    inference(avatar_component_clause,[],[f98]) ).

tff(f224,plain,
    ( spl9_17
    | spl9_18
    | spl9_15 ),
    inference(avatar_split_clause,[],[f217,f211,f222,f219]) ).

tff(f222,plain,
    ( spl9_18
  <=> ( 0 = sK2 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_18])]) ).

tff(f211,plain,
    ( spl9_15
  <=> $less(sK2,0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_15])]) ).

tff(f217,plain,
    ( ( 0 = sK2 )
    | $less(0,sK2)
    | spl9_15 ),
    inference(resolution,[],[f212,f10]) ).

tff(f212,plain,
    ( ~ $less(sK2,0)
    | spl9_15 ),
    inference(avatar_component_clause,[],[f211]) ).

tff(f216,plain,
    ( ~ spl9_15
    | spl9_16
    | ~ spl9_13 ),
    inference(avatar_split_clause,[],[f182,f98,f214,f211]) ).

tff(f214,plain,
    ( spl9_16
  <=> $less(10,sF6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_16])]) ).

tff(f182,plain,
    ( $less(10,sF6)
    | ~ $less(sK2,0)
    | ~ spl9_13 ),
    inference(superposition,[],[f166,f102]) ).

tff(f166,plain,
    ( ! [X16: $int] :
        ( $less(10,$sum(X16,sF6))
        | ~ $less(sK2,X16) )
    | ~ spl9_13 ),
    inference(superposition,[],[f11,f99]) ).

tff(f116,plain,
    ( spl9_14
    | ~ spl9_12 ),
    inference(avatar_split_clause,[],[f109,f93,f111]) ).

tff(f109,plain,
    ( ( 10 = $sum(sK0,sF3) )
    | ~ spl9_12 ),
    inference(superposition,[],[f94,f3]) ).

tff(f115,plain,
    ( spl9_14
    | ~ spl9_12 ),
    inference(avatar_split_clause,[],[f107,f93,f111]) ).

tff(f107,plain,
    ( ( 10 = $sum(sK0,sF3) )
    | ~ spl9_12 ),
    inference(superposition,[],[f94,f3]) ).

tff(f114,plain,
    ( spl9_14
    | ~ spl9_12 ),
    inference(avatar_split_clause,[],[f105,f93,f111]) ).

tff(f105,plain,
    ( ( 10 = $sum(sK0,sF3) )
    | ~ spl9_12 ),
    inference(superposition,[],[f3,f94]) ).

tff(f113,plain,
    ( spl9_14
    | ~ spl9_12 ),
    inference(avatar_split_clause,[],[f103,f93,f111]) ).

tff(f103,plain,
    ( ( 10 = $sum(sK0,sF3) )
    | ~ spl9_12 ),
    inference(superposition,[],[f3,f94]) ).

tff(f100,plain,
    ( spl9_13
    | ~ spl9_9
    | ~ spl9_11 ),
    inference(avatar_split_clause,[],[f96,f88,f74,f98]) ).

tff(f74,plain,
    ( spl9_9
  <=> ( sF7 = $sum(sK2,sF6) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_9])]) ).

tff(f88,plain,
    ( spl9_11
  <=> ( 10 = sF7 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_11])]) ).

tff(f96,plain,
    ( ( 10 = $sum(sK2,sF6) )
    | ~ spl9_9
    | ~ spl9_11 ),
    inference(forward_demodulation,[],[f75,f89]) ).

tff(f89,plain,
    ( ( 10 = sF7 )
    | ~ spl9_11 ),
    inference(avatar_component_clause,[],[f88]) ).

tff(f75,plain,
    ( ( sF7 = $sum(sK2,sF6) )
    | ~ spl9_9 ),
    inference(avatar_component_clause,[],[f74]) ).

tff(f95,plain,
    ( spl9_12
    | ~ spl9_5
    | ~ spl9_7 ),
    inference(avatar_split_clause,[],[f85,f65,f52,f93]) ).

tff(f52,plain,
    ( spl9_5
  <=> ( sF4 = $sum(sF3,sK0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_5])]) ).

tff(f65,plain,
    ( spl9_7
  <=> ( 10 = sF4 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_7])]) ).

tff(f85,plain,
    ( ( 10 = $sum(sF3,sK0) )
    | ~ spl9_5
    | ~ spl9_7 ),
    inference(forward_demodulation,[],[f53,f66]) ).

tff(f66,plain,
    ( ( 10 = sF4 )
    | ~ spl9_7 ),
    inference(avatar_component_clause,[],[f65]) ).

tff(f53,plain,
    ( ( sF4 = $sum(sF3,sK0) )
    | ~ spl9_5 ),
    inference(avatar_component_clause,[],[f52]) ).

tff(f91,plain,
    ( spl9_11
    | ~ spl9_10 ),
    inference(avatar_split_clause,[],[f84,f80,f88]) ).

tff(f80,plain,
    ( spl9_10
  <=> ( 10 = $sum(sF7,0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_10])]) ).

tff(f84,plain,
    ( ( 10 = sF7 )
    | ~ spl9_10 ),
    inference(superposition,[],[f5,f81]) ).

tff(f81,plain,
    ( ( 10 = $sum(sF7,0) )
    | ~ spl9_10 ),
    inference(avatar_component_clause,[],[f80]) ).

tff(f90,plain,
    ( spl9_11
    | ~ spl9_10 ),
    inference(avatar_split_clause,[],[f83,f80,f88]) ).

tff(f83,plain,
    ( ( 10 = sF7 )
    | ~ spl9_10 ),
    inference(superposition,[],[f81,f5]) ).

tff(f82,plain,
    ( spl9_10
    | ~ spl9_1
    | ~ spl9_3 ),
    inference(avatar_split_clause,[],[f78,f44,f36,f80]) ).

tff(f36,plain,
    ( spl9_1
  <=> ( 0 = sK1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_1])]) ).

tff(f44,plain,
    ( spl9_3
  <=> ( 10 = sF8 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_3])]) ).

tff(f78,plain,
    ( ( 10 = $sum(sF7,0) )
    | ~ spl9_1
    | ~ spl9_3 ),
    inference(forward_demodulation,[],[f77,f45]) ).

tff(f45,plain,
    ( ( 10 = sF8 )
    | ~ spl9_3 ),
    inference(avatar_component_clause,[],[f44]) ).

tff(f77,plain,
    ( ( $sum(sF7,0) = sF8 )
    | ~ spl9_1 ),
    inference(forward_demodulation,[],[f33,f37]) ).

tff(f37,plain,
    ( ( 0 = sK1 )
    | ~ spl9_1 ),
    inference(avatar_component_clause,[],[f36]) ).

tff(f33,plain,
    sF8 = $sum(sF7,sK1),
    introduced(function_definition,[]) ).

tff(f76,plain,
    spl9_9,
    inference(avatar_split_clause,[],[f32,f74]) ).

tff(f32,plain,
    sF7 = $sum(sK2,sF6),
    introduced(function_definition,[]) ).

tff(f72,plain,
    ( spl9_7
    | ~ spl9_6 ),
    inference(avatar_split_clause,[],[f62,f58,f65]) ).

tff(f58,plain,
    ( spl9_6
  <=> ( 10 = $sum(sF4,0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_6])]) ).

tff(f62,plain,
    ( ( 10 = sF4 )
    | ~ spl9_6 ),
    inference(superposition,[],[f5,f59]) ).

tff(f59,plain,
    ( ( 10 = $sum(sF4,0) )
    | ~ spl9_6 ),
    inference(avatar_component_clause,[],[f58]) ).

tff(f71,plain,
    spl9_8,
    inference(avatar_split_clause,[],[f31,f69]) ).

tff(f31,plain,
    sF6 = $product(2,sK0),
    introduced(function_definition,[]) ).

tff(f67,plain,
    ( spl9_7
    | ~ spl9_6 ),
    inference(avatar_split_clause,[],[f61,f58,f65]) ).

tff(f61,plain,
    ( ( 10 = sF4 )
    | ~ spl9_6 ),
    inference(superposition,[],[f59,f5]) ).

tff(f60,plain,
    ( spl9_6
    | ~ spl9_1
    | ~ spl9_2 ),
    inference(avatar_split_clause,[],[f56,f40,f36,f58]) ).

tff(f40,plain,
    ( spl9_2
  <=> ( 10 = sF5 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_2])]) ).

tff(f56,plain,
    ( ( 10 = $sum(sF4,0) )
    | ~ spl9_1
    | ~ spl9_2 ),
    inference(forward_demodulation,[],[f55,f37]) ).

tff(f55,plain,
    ( ( 10 = $sum(sF4,sK1) )
    | ~ spl9_2 ),
    inference(forward_demodulation,[],[f29,f41]) ).

tff(f41,plain,
    ( ( 10 = sF5 )
    | ~ spl9_2 ),
    inference(avatar_component_clause,[],[f40]) ).

tff(f29,plain,
    $sum(sF4,sK1) = sF5,
    introduced(function_definition,[]) ).

tff(f54,plain,
    spl9_5,
    inference(avatar_split_clause,[],[f28,f52]) ).

tff(f28,plain,
    sF4 = $sum(sF3,sK0),
    introduced(function_definition,[]) ).

tff(f50,plain,
    spl9_4,
    inference(avatar_split_clause,[],[f27,f48]) ).

tff(f27,plain,
    sF3 = $product(2,sK2),
    introduced(function_definition,[]) ).

tff(f46,plain,
    spl9_3,
    inference(avatar_split_clause,[],[f34,f44]) ).

tff(f34,plain,
    10 = sF8,
    inference(definition_folding,[],[f25,f33,f32,f31]) ).

tff(f25,plain,
    10 = $sum($sum(sK2,$product(2,sK0)),sK1),
    inference(cnf_transformation,[],[f23]) ).

tff(f23,plain,
    ? [X0: $int,X1: $int,X2: $int] :
      ( ( 10 = $sum($sum($product(2,X2),X0),X1) )
      & ( 10 = $sum($sum(X2,$product(2,X0)),X1) )
      & ( 0 = X1 ) ),
    inference(flattening,[],[f22]) ).

tff(f22,plain,
    ? [X0: $int,X2: $int,X1: $int] :
      ( ( 0 = X1 )
      & ( 10 = $sum($sum($product(2,X2),X0),X1) )
      & ( 10 = $sum($sum(X2,$product(2,X0)),X1) ) ),
    inference(ennf_transformation,[],[f21]) ).

tff(f21,plain,
    ~ ! [X0: $int,X2: $int,X1: $int] :
        ( ( ( 10 = $sum($sum($product(2,X2),X0),X1) )
          & ( 10 = $sum($sum(X2,$product(2,X0)),X1) ) )
       => ( 0 != X1 ) ),
    inference(rectify,[],[f2]) ).

tff(f2,negated_conjecture,
    ~ ! [X1: $int,X2: $int,X0: $int] :
        ( ( ( 10 = $sum($sum(X0,$product(2,X1)),X2) )
          & ( $sum($sum($product(2,X0),X1),X2) = 10 ) )
       => ( 0 != X2 ) ),
    inference(negated_conjecture,[],[f1]) ).

tff(f1,conjecture,
    ! [X1: $int,X2: $int,X0: $int] :
      ( ( ( 10 = $sum($sum(X0,$product(2,X1)),X2) )
        & ( $sum($sum($product(2,X0),X1),X2) = 10 ) )
     => ( 0 != X2 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

tff(f42,plain,
    spl9_2,
    inference(avatar_split_clause,[],[f30,f40]) ).

tff(f30,plain,
    10 = sF5,
    inference(definition_folding,[],[f26,f29,f28,f27]) ).

tff(f26,plain,
    10 = $sum($sum($product(2,sK2),sK0),sK1),
    inference(cnf_transformation,[],[f23]) ).

tff(f38,plain,
    spl9_1,
    inference(avatar_split_clause,[],[f24,f36]) ).

tff(f24,plain,
    0 = sK1,
    inference(cnf_transformation,[],[f23]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : ARI178=1 : TPTP v8.1.0. Released v5.0.0.
% 0.11/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.33  % Computer : n023.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.18/0.33  % CPULimit   : 300
% 0.18/0.33  % WCLimit    : 300
% 0.18/0.33  % DateTime   : Mon Aug 29 15:45:35 EDT 2022
% 0.18/0.33  % CPUTime    : 
% 0.18/0.49  % (3620)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)
% 0.18/0.49  % (3620)Instruction limit reached!
% 0.18/0.49  % (3620)------------------------------
% 0.18/0.49  % (3620)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.49  % (3616)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)
% 0.18/0.50  % (3630)dis+10_1:64_nwc=1.4:rp=on:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.18/0.50  % (3630)Refutation not found, incomplete strategy% (3630)------------------------------
% 0.18/0.50  % (3630)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50  % (3630)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50  % (3630)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.50  
% 0.18/0.50  % (3630)Memory used [KB]: 5373
% 0.18/0.50  % (3630)Time elapsed: 0.110 s
% 0.18/0.50  % (3630)------------------------------
% 0.18/0.50  % (3630)------------------------------
% 0.18/0.50  % (3614)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)
% 0.18/0.50  % (3610)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)
% 0.18/0.50  % (3619)lrs+10_1:1_canc=force:tha=some:to=lpo:i=35:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/35Mi)
% 0.18/0.50  % (3617)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)
% 0.18/0.50  % (3625)lrs+10_1:1_ev=force:gve=cautious:tha=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.18/0.50  % (3620)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50  % (3620)Termination reason: Unknown
% 0.18/0.50  % (3620)Termination phase: Saturation
% 0.18/0.50  
% 0.18/0.50  % (3620)Memory used [KB]: 5500
% 0.18/0.50  % (3620)Time elapsed: 0.108 s
% 0.18/0.50  % (3620)Instructions burned: 4 (million)
% 0.18/0.50  % (3620)------------------------------
% 0.18/0.50  % (3620)------------------------------
% 0.18/0.51  % (3623)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 (2999ds/50Mi)
% 0.18/0.51  % (3609)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)
% 0.18/0.51  % (3633)lrs+1_1:10_av=off:drc=off:nwc=2.0:sp=reverse_frequency:thsq=on:thsqc=64:thsql=off:i=47:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/47Mi)
% 0.18/0.51  % (3638)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=41:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/41Mi)
% 0.18/0.51  % (3631)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 (2999ds/46Mi)
% 0.18/0.52  % (3637)dis+1011_1:1_bd=off:canc=force:ev=cautious:nwc=5.0:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.18/0.52  % (3613)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)
% 0.18/0.52  % (3625)Instruction limit reached!
% 0.18/0.52  % (3625)------------------------------
% 0.18/0.52  % (3625)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52  % (3611)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)
% 0.18/0.52  % (3612)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)
% 0.18/0.52  % (3612)Instruction limit reached!
% 0.18/0.52  % (3612)------------------------------
% 0.18/0.52  % (3612)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52  % (3612)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52  % (3612)Termination reason: Unknown
% 0.18/0.52  % (3612)Termination phase: Saturation
% 0.18/0.52  
% 0.18/0.52  % (3612)Memory used [KB]: 895
% 0.18/0.52  % (3612)Time elapsed: 0.003 s
% 0.18/0.52  % (3612)Instructions burned: 3 (million)
% 0.18/0.52  % (3612)------------------------------
% 0.18/0.52  % (3612)------------------------------
% 0.18/0.52  % (3625)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52  % (3625)Termination reason: Unknown
% 0.18/0.52  % (3625)Termination phase: Saturation
% 0.18/0.52  
% 0.18/0.52  % (3625)Memory used [KB]: 5373
% 0.18/0.52  % (3625)Time elapsed: 0.003 s
% 0.18/0.52  % (3625)Instructions burned: 2 (million)
% 0.18/0.52  % (3625)------------------------------
% 0.18/0.52  % (3625)------------------------------
% 0.18/0.52  % (3632)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.18/0.52  % (3624)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 (2999ds/2Mi)
% 0.18/0.52  % (3628)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 (2999ds/2Mi)
% 0.18/0.52  % (3618)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)
% 0.18/0.52  % (3618)Instruction limit reached!
% 0.18/0.52  % (3618)------------------------------
% 0.18/0.52  % (3618)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52  % (3618)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52  % (3618)Termination reason: Unknown
% 0.18/0.52  % (3618)Termination phase: Equality proxy
% 0.18/0.52  
% 0.18/0.52  % (3618)Memory used [KB]: 895
% 0.18/0.52  % (3618)Time elapsed: 0.003 s
% 0.18/0.52  % (3618)Instructions burned: 2 (million)
% 0.18/0.52  % (3618)------------------------------
% 0.18/0.52  % (3618)------------------------------
% 0.18/0.52  % (3624)Instruction limit reached!
% 0.18/0.52  % (3624)------------------------------
% 0.18/0.52  % (3624)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52  % (3629)dis+1002_1:5_av=off:nwc=2.0:sos=all:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.18/0.52  % (3615)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)
% 0.18/0.52  % (3614)Instruction limit reached!
% 0.18/0.52  % (3614)------------------------------
% 0.18/0.52  % (3614)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52  % (3634)lrs+1002_1:1_br=off:canc=force:drc=off:s2a=on:sos=on:sp=reverse_frequency:urr=on:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 0.18/0.52  % (3621)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)
% 0.18/0.53  % (3622)dis+10_1:64_nwc=1.4:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.18/0.53  % (3622)Refutation not found, incomplete strategy% (3622)------------------------------
% 0.18/0.53  % (3622)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53  % (3622)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53  % (3622)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.53  
% 0.18/0.53  % (3622)Memory used [KB]: 5373
% 0.18/0.53  % (3622)Time elapsed: 0.142 s
% 0.18/0.53  % (3622)Instructions burned: 2 (million)
% 0.18/0.53  % (3622)------------------------------
% 0.18/0.53  % (3622)------------------------------
% 0.18/0.53  % (3610)Instruction limit reached!
% 0.18/0.53  % (3610)------------------------------
% 0.18/0.53  % (3610)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53  % (3624)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53  % (3624)Termination reason: Unknown
% 0.18/0.53  % (3624)Termination phase: Saturation
% 0.18/0.53  
% 0.18/0.53  % (3624)Memory used [KB]: 5373
% 0.18/0.53  % (3624)Time elapsed: 0.004 s
% 0.18/0.53  % (3624)Instructions burned: 3 (million)
% 0.18/0.53  % (3624)------------------------------
% 0.18/0.53  % (3624)------------------------------
% 0.18/0.53  % (3611)Instruction limit reached!
% 0.18/0.53  % (3611)------------------------------
% 0.18/0.53  % (3611)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53  % (3628)Refutation not found, incomplete strategy% (3628)------------------------------
% 0.18/0.53  % (3628)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53  % (3617)Instruction limit reached!
% 0.18/0.53  % (3617)------------------------------
% 0.18/0.53  % (3617)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53  % (3628)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53  % (3628)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.53  
% 0.18/0.53  % (3628)Memory used [KB]: 5373
% 0.18/0.53  % (3628)Time elapsed: 0.143 s
% 0.18/0.53  % (3628)Instructions burned: 1 (million)
% 0.18/0.53  % (3628)------------------------------
% 0.18/0.53  % (3628)------------------------------
% 0.18/0.53  % (3614)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53  % (3614)Termination reason: Unknown
% 0.18/0.53  % (3614)Termination phase: Saturation
% 0.18/0.53  
% 0.18/0.53  % (3614)Memory used [KB]: 5628
% 0.18/0.53  % (3614)Time elapsed: 0.127 s
% 0.18/0.53  % (3614)Instructions burned: 17 (million)
% 0.18/0.53  % (3614)------------------------------
% 0.18/0.53  % (3614)------------------------------
% 0.18/0.53  % (3636)dis+10_1:64_nwc=1.4:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.18/0.53  % (3636)Refutation not found, incomplete strategy% (3636)------------------------------
% 0.18/0.53  % (3636)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53  % (3636)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53  % (3636)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.53  
% 0.18/0.53  % (3636)Memory used [KB]: 5373
% 0.18/0.53  % (3636)Time elapsed: 0.119 s
% 0.18/0.53  % (3636)Instructions burned: 2 (million)
% 0.18/0.53  % (3636)------------------------------
% 0.18/0.53  % (3636)------------------------------
% 0.18/0.53  % (3635)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.18/0.53  % (3626)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 (2999ds/49Mi)
% 0.18/0.53  % (3621)Instruction limit reached!
% 0.18/0.53  % (3621)------------------------------
% 0.18/0.53  % (3621)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53  % (3621)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53  % (3621)Termination reason: Unknown
% 0.18/0.53  % (3621)Termination phase: Saturation
% 0.18/0.53  
% 0.18/0.53  % (3621)Memory used [KB]: 5500
% 0.18/0.53  % (3621)Time elapsed: 0.151 s
% 0.18/0.53  % (3621)Instructions burned: 3 (million)
% 0.18/0.53  % (3621)------------------------------
% 0.18/0.53  % (3621)------------------------------
% 0.18/0.54  % (3627)lrs+10_1:1_ss=axioms:st=5.0:tha=off:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.18/0.54  % (3627)Refutation not found, incomplete strategy% (3627)------------------------------
% 0.18/0.54  % (3627)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.54  % (3627)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.54  % (3627)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.54  
% 0.18/0.54  % (3627)Memory used [KB]: 5373
% 0.18/0.54  % (3627)Time elapsed: 0.150 s
% 0.18/0.54  % (3627)Instructions burned: 2 (million)
% 0.18/0.54  % (3627)------------------------------
% 0.18/0.54  % (3627)------------------------------
% 0.18/0.54  % (3610)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.54  % (3611)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.54  % (3610)Termination reason: Unknown
% 0.18/0.54  % (3611)Termination reason: Unknown
% 0.18/0.54  % (3610)Termination phase: Saturation
% 0.18/0.54  % (3611)Termination phase: Saturation
% 0.18/0.54  
% 0.18/0.54  
% 0.18/0.54  % (3611)Memory used [KB]: 5500
% 0.18/0.54  % (3610)Memory used [KB]: 5884
% 0.18/0.54  % (3611)Time elapsed: 0.142 s
% 0.18/0.54  % (3610)Time elapsed: 0.131 s
% 0.18/0.54  % (3611)Instructions burned: 9 (million)
% 0.18/0.54  % (3610)Instructions burned: 34 (million)
% 0.18/0.54  % (3611)------------------------------
% 0.18/0.54  % (3611)------------------------------
% 0.18/0.54  % (3610)------------------------------
% 0.18/0.54  % (3610)------------------------------
% 0.18/0.55  % (3629)Instruction limit reached!
% 0.18/0.55  % (3629)------------------------------
% 0.18/0.55  % (3629)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.55  % (3629)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.55  % (3629)Termination reason: Unknown
% 0.18/0.55  % (3629)Termination phase: Saturation
% 0.18/0.55  
% 0.18/0.55  % (3629)Memory used [KB]: 1151
% 0.18/0.55  % (3629)Time elapsed: 0.146 s
% 0.18/0.55  % (3629)Instructions burned: 16 (million)
% 0.18/0.55  % (3629)------------------------------
% 0.18/0.55  % (3629)------------------------------
% 0.18/0.55  % (3617)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.55  % (3617)Termination reason: Unknown
% 0.18/0.55  % (3617)Termination phase: Saturation
% 0.18/0.55  
% 0.18/0.55  % (3617)Memory used [KB]: 5628
% 0.18/0.55  % (3617)Time elapsed: 0.129 s
% 0.18/0.55  % (3617)Instructions burned: 26 (million)
% 0.18/0.55  % (3617)------------------------------
% 0.18/0.55  % (3617)------------------------------
% 0.18/0.55  % (3619)Instruction limit reached!
% 0.18/0.55  % (3619)------------------------------
% 0.18/0.55  % (3619)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.55  % (3619)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.55  % (3619)Termination reason: Unknown
% 0.18/0.55  % (3619)Termination phase: Saturation
% 0.18/0.55  
% 0.18/0.55  % (3619)Memory used [KB]: 5500
% 0.18/0.55  % (3619)Time elapsed: 0.149 s
% 0.18/0.55  % (3619)Instructions burned: 35 (million)
% 0.18/0.55  % (3619)------------------------------
% 0.18/0.55  % (3619)------------------------------
% 0.18/0.56  % (3637)Instruction limit reached!
% 0.18/0.56  % (3637)------------------------------
% 0.18/0.56  % (3637)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.56  % (3637)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.56  % (3637)Termination reason: Unknown
% 0.18/0.56  % (3637)Termination phase: Saturation
% 0.18/0.56  
% 0.18/0.56  % (3637)Memory used [KB]: 5756
% 0.18/0.56  % (3637)Time elapsed: 0.167 s
% 0.18/0.56  % (3637)Instructions burned: 21 (million)
% 0.18/0.56  % (3637)------------------------------
% 0.18/0.56  % (3637)------------------------------
% 0.18/0.57  % (3616)Instruction limit reached!
% 0.18/0.57  % (3616)------------------------------
% 0.18/0.57  % (3616)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.57  % (3616)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.57  % (3616)Termination reason: Unknown
% 0.18/0.57  % (3616)Termination phase: Saturation
% 0.18/0.57  
% 0.18/0.57  % (3616)Memory used [KB]: 5884
% 0.18/0.57  % (3616)Time elapsed: 0.173 s
% 0.18/0.57  % (3616)Instructions burned: 36 (million)
% 0.18/0.57  % (3616)------------------------------
% 0.18/0.57  % (3616)------------------------------
% 0.18/0.57  % (3615)Instruction limit reached!
% 0.18/0.57  % (3615)------------------------------
% 0.18/0.57  % (3615)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.57  % (3615)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.57  % (3615)Termination reason: Unknown
% 0.18/0.57  % (3615)Termination phase: Saturation
% 0.18/0.57  
% 0.18/0.57  % (3615)Memory used [KB]: 6012
% 0.18/0.57  % (3615)Time elapsed: 0.159 s
% 0.18/0.57  % (3615)Instructions burned: 32 (million)
% 0.18/0.57  % (3615)------------------------------
% 0.18/0.57  % (3615)------------------------------
% 0.18/0.57  % (3613)Instruction limit reached!
% 0.18/0.57  % (3613)------------------------------
% 0.18/0.57  % (3613)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.57  % (3613)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.57  % (3613)Termination reason: Unknown
% 0.18/0.57  % (3613)Termination phase: Saturation
% 0.18/0.57  
% 0.18/0.57  % (3613)Memory used [KB]: 6012
% 0.18/0.57  % (3613)Time elapsed: 0.172 s
% 0.18/0.57  % (3613)Instructions burned: 37 (million)
% 0.18/0.57  % (3613)------------------------------
% 0.18/0.57  % (3613)------------------------------
% 1.80/0.58  % (3631)Instruction limit reached!
% 1.80/0.58  % (3631)------------------------------
% 1.80/0.58  % (3631)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.80/0.58  % (3631)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.80/0.58  % (3631)Termination reason: Unknown
% 1.80/0.58  % (3631)Termination phase: Saturation
% 1.80/0.58  
% 1.80/0.58  % (3631)Memory used [KB]: 1407
% 1.80/0.58  % (3631)Time elapsed: 0.144 s
% 1.80/0.58  % (3631)Instructions burned: 46 (million)
% 1.80/0.58  % (3631)------------------------------
% 1.80/0.58  % (3631)------------------------------
% 1.80/0.58  % (3635)Instruction limit reached!
% 1.80/0.58  % (3635)------------------------------
% 1.80/0.58  % (3635)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.95/0.59  % (3638)Instruction limit reached!
% 1.95/0.59  % (3638)------------------------------
% 1.95/0.59  % (3638)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.95/0.59  % (3638)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.95/0.59  % (3638)Termination reason: Unknown
% 1.95/0.59  % (3638)Termination phase: Saturation
% 1.95/0.59  
% 1.95/0.59  % (3638)Memory used [KB]: 6268
% 1.95/0.59  % (3638)Time elapsed: 0.182 s
% 1.95/0.59  % (3638)Instructions burned: 42 (million)
% 1.95/0.59  % (3638)------------------------------
% 1.95/0.59  % (3638)------------------------------
% 1.95/0.59  % (3633)Instruction limit reached!
% 1.95/0.59  % (3633)------------------------------
% 1.95/0.59  % (3633)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.95/0.59  % (3633)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.95/0.59  % (3633)Termination reason: Unknown
% 1.95/0.59  % (3633)Termination phase: Saturation
% 1.95/0.59  
% 1.95/0.59  % (3633)Memory used [KB]: 1663
% 1.95/0.59  % (3633)Time elapsed: 0.188 s
% 1.95/0.59  % (3633)Instructions burned: 47 (million)
% 1.95/0.59  % (3633)------------------------------
% 1.95/0.59  % (3633)------------------------------
% 1.95/0.59  % (3623)Instruction limit reached!
% 1.95/0.59  % (3623)------------------------------
% 1.95/0.59  % (3623)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.95/0.59  % (3623)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.95/0.59  % (3623)Termination reason: Unknown
% 1.95/0.59  % (3623)Termination phase: Saturation
% 1.95/0.59  
% 1.95/0.59  % (3623)Memory used [KB]: 6524
% 1.95/0.59  % (3623)Time elapsed: 0.174 s
% 1.95/0.59  % (3623)Instructions burned: 52 (million)
% 1.95/0.59  % (3623)------------------------------
% 1.95/0.59  % (3623)------------------------------
% 1.95/0.60  % (3632)Instruction limit reached!
% 1.95/0.60  % (3632)------------------------------
% 1.95/0.60  % (3632)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.95/0.60  % (3632)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.95/0.60  % (3632)Termination reason: Unknown
% 1.95/0.60  % (3632)Termination phase: Saturation
% 1.95/0.60  
% 1.95/0.60  % (3632)Memory used [KB]: 5884
% 1.95/0.60  % (3632)Time elapsed: 0.221 s
% 1.95/0.60  % (3632)Instructions burned: 51 (million)
% 1.95/0.60  % (3632)------------------------------
% 1.95/0.60  % (3632)------------------------------
% 1.95/0.61  % (3626)Instruction limit reached!
% 1.95/0.61  % (3626)------------------------------
% 1.95/0.61  % (3626)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.95/0.61  % (3626)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.95/0.61  % (3626)Termination reason: Unknown
% 1.95/0.61  % (3626)Termination phase: Saturation
% 1.95/0.61  
% 1.95/0.61  % (3626)Memory used [KB]: 6268
% 1.95/0.61  % (3626)Time elapsed: 0.202 s
% 1.95/0.61  % (3626)Instructions burned: 51 (million)
% 1.95/0.61  % (3626)------------------------------
% 1.95/0.61  % (3626)------------------------------
% 1.95/0.61  % (3634)Instruction limit reached!
% 1.95/0.61  % (3634)------------------------------
% 1.95/0.61  % (3634)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.95/0.61  % (3634)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.95/0.61  % (3634)Termination reason: Unknown
% 1.95/0.61  % (3634)Termination phase: Saturation
% 1.95/0.61  
% 1.95/0.61  % (3634)Memory used [KB]: 5884
% 1.95/0.61  % (3634)Time elapsed: 0.194 s
% 1.95/0.61  % (3634)Instructions burned: 43 (million)
% 1.95/0.61  % (3634)------------------------------
% 1.95/0.61  % (3634)------------------------------
% 1.95/0.61  % (3635)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.95/0.61  % (3635)Termination reason: Unknown
% 1.95/0.61  % (3635)Termination phase: Saturation
% 1.95/0.61  
% 1.95/0.61  % (3635)Memory used [KB]: 6012
% 1.95/0.61  % (3635)Time elapsed: 0.197 s
% 1.95/0.61  % (3635)Instructions burned: 44 (million)
% 1.95/0.61  % (3635)------------------------------
% 1.95/0.61  % (3635)------------------------------
% 2.18/0.63  % (3640)lrs+1_1:1_aac=none:acc=on:add=large:bd=off:bs=unit_only:bsr=on:cond=on:nm=0:sac=on:sd=3:sos=on:ss=axioms:st=2.0:i=47:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/47Mi)
% 2.24/0.64  % (3642)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=148:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/148Mi)
% 2.24/0.64  % (3644)ott+21_1:1_bd=off:bsr=unit_only:drc=off:fd=preordered:fsr=off:nwc=3.0:sac=on:to=lpo:urr=on:i=76:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/76Mi)
% 2.24/0.64  % (3641)dis+10_1:64_nwc=1.4:rp=on:tha=off:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/25Mi)
% 2.24/0.65  % (3643)lrs+10_1:1_acc=model:br=off:ins=1:newcnf=on:nwc=5.0:s2a=on:sac=on:sp=frequency:to=lpo:urr=on:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/100Mi)
% 2.24/0.65  % (3645)lrs+22_1:1_amm=sco:fsr=off:gve=force:sos=on:uwa=all:i=58:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/58Mi)
% 2.24/0.66  % (3648)lrs+10_1:1_plsq=on:plsqc=1:plsqr=32,1:tha=off:thi=overlap:i=463:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/463Mi)
% 2.24/0.66  % (3641)Refutation not found, incomplete strategy% (3641)------------------------------
% 2.24/0.66  % (3641)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.24/0.66  % (3641)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.24/0.66  % (3641)Termination reason: Refutation not found, incomplete strategy
% 2.24/0.66  
% 2.24/0.66  % (3641)Memory used [KB]: 5373
% 2.24/0.66  % (3641)Time elapsed: 0.107 s
% 2.24/0.66  % (3641)Instructions burned: 2 (million)
% 2.24/0.66  % (3641)------------------------------
% 2.24/0.66  % (3641)------------------------------
% 2.24/0.66  % (3639)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)
% 2.24/0.66  % (3639)Refutation not found, incomplete strategy% (3639)------------------------------
% 2.24/0.66  % (3639)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.24/0.66  % (3639)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.24/0.66  % (3639)Termination reason: Refutation not found, incomplete strategy
% 2.24/0.66  
% 2.24/0.66  % (3639)Memory used [KB]: 5373
% 2.24/0.66  % (3639)Time elapsed: 0.126 s
% 2.24/0.66  % (3639)------------------------------
% 2.24/0.66  % (3639)------------------------------
% 2.24/0.67  % (3650)lrs+10_1:1_newcnf=on:sas=z3:tgt=ground:tha=off:i=223:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/223Mi)
% 2.24/0.67  % (3649)lrs+1011_4:1_abs=on:afp=20:amm=off:anc=all:bd=off:br=off:canc=force:s2a=on:sas=z3:slsq=on:urr=on:i=494:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/494Mi)
% 2.24/0.67  % (3646)lrs+10_1:1_thi=all:thigen=on:i=96:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/96Mi)
% 2.24/0.67  % (3609)First to succeed.
% 2.24/0.68  % (3647)lrs+10_1:3_add=large:afr=on:anc=all_dependent:avsq=on:avsqr=21,226:awrs=decay:awrsf=47:br=off:bsd=on:canc=cautious:cond=fast:fd=preordered:fsd=on:fsr=off:gs=on:gve=force:ins=1:lma=on:s2agt=4:s2at=1.9:sas=z3:slsq=on:slsqc=1:slsqr=13,121:sp=reverse_arity:tha=some:to=lpo:uace=off:uhcvi=on:updr=off:urr=ec_only:i=108:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/108Mi)
% 2.24/0.68  % (3609)Refutation found. Thanks to Tanya!
% 2.24/0.68  % SZS status Theorem for theBenchmark
% 2.24/0.68  % SZS output start Proof for theBenchmark
% See solution above
% 2.24/0.68  % (3609)------------------------------
% 2.24/0.68  % (3609)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.24/0.68  % (3609)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.24/0.68  % (3609)Termination reason: Refutation
% 2.24/0.68  
% 2.24/0.68  % (3609)Memory used [KB]: 1279
% 2.24/0.68  % (3609)Time elapsed: 0.254 s
% 2.24/0.68  % (3609)Instructions burned: 122 (million)
% 2.24/0.68  % (3609)------------------------------
% 2.24/0.68  % (3609)------------------------------
% 2.24/0.68  % (3608)Success in time 0.342 s
%------------------------------------------------------------------------------