TSTP Solution File: ARI729_1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : ARI729_1 : TPTP v8.1.0. Released v6.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% Computer : n020.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Aug 31 15:47:01 EDT 2022

% Result   : Theorem 2.90s 0.90s
% Output   : Refutation 2.90s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   48
% Syntax   : Number of formulae    :  148 (  21 unt;   6 typ;   0 def)
%            Number of atoms       :  300 (  69 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :  281 ( 123   ~; 124   |;   1   &)
%                                         (  29 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number arithmetic     :  234 (  50 atm; 107 fun;  54 num;  23 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    :   13 (   6 usr;   9 con; 0-2 aty)
%            Number of variables   :   23 (  21   !;   2   ?;  23   :)

% Comments : 
%------------------------------------------------------------------------------
tff(func_def_6,type,
    sK0: $real ).

tff(func_def_7,type,
    sK1: $real ).

tff(func_def_8,type,
    sF2: $real ).

tff(func_def_9,type,
    sF3: $real ).

tff(func_def_10,type,
    sF4: $real ).

tff(func_def_11,type,
    sF5: $real ).

tff(f326,plain,
    $false,
    inference(avatar_smt_refutation,[],[f30,f34,f38,f42,f47,f52,f58,f62,f89,f120,f126,f133,f143,f147,f151,f155,f205,f209,f210,f231,f257,f261,f265,f266,f274,f281,f282,f283,f312,f316,f325]) ).

tff(f325,plain,
    ( ~ spl6_3
    | ~ spl6_26 ),
    inference(avatar_contradiction_clause,[],[f324]) ).

tff(f324,plain,
    ( $false
    | ~ spl6_3
    | ~ spl6_26 ),
    inference(evaluation,[],[f323]) ).

tff(f323,plain,
    ( ( 1.0 = 0.0 )
    | ~ spl6_3
    | ~ spl6_26 ),
    inference(forward_demodulation,[],[f63,f273]) ).

tff(f273,plain,
    ( ( 1.0 = $sum(sK0,sF2) )
    | ~ spl6_26 ),
    inference(avatar_component_clause,[],[f272]) ).

tff(f272,plain,
    ( spl6_26
  <=> ( 1.0 = $sum(sK0,sF2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_26])]) ).

tff(f63,plain,
    ( ( 0.0 = $sum(sK0,sF2) )
    | ~ spl6_3 ),
    inference(superposition,[],[f8,f37]) ).

tff(f37,plain,
    ( ( $uminus(sK0) = sF2 )
    | ~ spl6_3 ),
    inference(avatar_component_clause,[],[f36]) ).

tff(f36,plain,
    ( spl6_3
  <=> ( $uminus(sK0) = sF2 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_3])]) ).

tff(f8,plain,
    ! [X0: $real] : ( 0.0 = $sum(X0,$uminus(X0)) ),
    introduced(theory_axiom_145,[]) ).

tff(f316,plain,
    ( spl6_29
    | ~ spl6_12
    | ~ spl6_21 ),
    inference(avatar_split_clause,[],[f291,f226,f124,f314]) ).

tff(f314,plain,
    ( spl6_29
  <=> ( $sum(1.0,$uminus(sF2)) = sK0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_29])]) ).

tff(f124,plain,
    ( spl6_12
  <=> ( 1.0 = $sum(sK1,sF2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_12])]) ).

tff(f226,plain,
    ( spl6_21
  <=> ( sK1 = sK0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_21])]) ).

tff(f291,plain,
    ( ( $sum(1.0,$uminus(sF2)) = sK0 )
    | ~ spl6_12
    | ~ spl6_21 ),
    inference(forward_demodulation,[],[f240,f227]) ).

tff(f227,plain,
    ( ( sK1 = sK0 )
    | ~ spl6_21 ),
    inference(avatar_component_clause,[],[f226]) ).

tff(f240,plain,
    ( ( $sum(1.0,$uminus(sF2)) = sK1 )
    | ~ spl6_12 ),
    inference(forward_demodulation,[],[f233,f6]) ).

tff(f6,plain,
    ! [X0: $real] : ( $sum(X0,0.0) = X0 ),
    introduced(theory_axiom_142,[]) ).

tff(f233,plain,
    ( ( $sum(1.0,$uminus(sF2)) = $sum(sK1,0.0) )
    | ~ spl6_12 ),
    inference(superposition,[],[f187,f8]) ).

tff(f187,plain,
    ( ! [X17: $real] : ( $sum(sK1,$sum(sF2,X17)) = $sum(1.0,X17) )
    | ~ spl6_12 ),
    inference(superposition,[],[f5,f125]) ).

tff(f125,plain,
    ( ( 1.0 = $sum(sK1,sF2) )
    | ~ spl6_12 ),
    inference(avatar_component_clause,[],[f124]) ).

tff(f5,plain,
    ! [X2: $real,X0: $real,X1: $real] : ( $sum($sum(X0,X1),X2) = $sum(X0,$sum(X1,X2)) ),
    introduced(theory_axiom_141,[]) ).

tff(f312,plain,
    ( spl6_28
    | ~ spl6_3 ),
    inference(avatar_split_clause,[],[f54,f36,f310]) ).

tff(f310,plain,
    ( spl6_28
  <=> ( $uminus(sF2) = sK0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_28])]) ).

tff(f54,plain,
    ( ( $uminus(sF2) = sK0 )
    | ~ spl6_3 ),
    inference(superposition,[],[f14,f37]) ).

tff(f14,plain,
    ! [X0: $real] : ( $uminus($uminus(X0)) = X0 ),
    introduced(theory_axiom_153,[]) ).

tff(f283,plain,
    ( spl6_27
    | ~ spl6_25 ),
    inference(avatar_split_clause,[],[f270,f263,f279]) ).

tff(f279,plain,
    ( spl6_27
  <=> $less($sum(-1.0,sK0),sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_27])]) ).

tff(f263,plain,
    ( spl6_25
  <=> ( $floor(sK0) = sK0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_25])]) ).

tff(f270,plain,
    ( $less($sum(-1.0,sK0),sK0)
    | ~ spl6_25 ),
    inference(forward_demodulation,[],[f269,f4]) ).

tff(f4,plain,
    ! [X0: $real,X1: $real] : ( $sum(X1,X0) = $sum(X0,X1) ),
    introduced(theory_axiom_140,[]) ).

tff(f269,plain,
    ( $less($sum(sK0,-1.0),sK0)
    | ~ spl6_25 ),
    inference(evaluation,[],[f267]) ).

tff(f267,plain,
    ( $less($sum(sK0,$uminus(1.0)),sK0)
    | ~ spl6_25 ),
    inference(superposition,[],[f16,f264]) ).

tff(f264,plain,
    ( ( $floor(sK0) = sK0 )
    | ~ spl6_25 ),
    inference(avatar_component_clause,[],[f263]) ).

tff(f16,plain,
    ! [X0: $real] : $less($sum(X0,$uminus(1.0)),$floor(X0)),
    introduced(theory_axiom_168,[]) ).

tff(f282,plain,
    ( spl6_27
    | ~ spl6_20
    | ~ spl6_21 ),
    inference(avatar_split_clause,[],[f253,f226,f207,f279]) ).

tff(f207,plain,
    ( spl6_20
  <=> $less($sum(-1.0,sK0),sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_20])]) ).

tff(f253,plain,
    ( $less($sum(-1.0,sK0),sK0)
    | ~ spl6_20
    | ~ spl6_21 ),
    inference(backward_demodulation,[],[f208,f227]) ).

tff(f208,plain,
    ( $less($sum(-1.0,sK0),sK1)
    | ~ spl6_20 ),
    inference(avatar_component_clause,[],[f207]) ).

tff(f281,plain,
    ( spl6_27
    | ~ spl6_19
    | ~ spl6_21 ),
    inference(avatar_split_clause,[],[f252,f226,f203,f279]) ).

tff(f203,plain,
    ( spl6_19
  <=> $less($sum(-1.0,sK1),sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_19])]) ).

tff(f252,plain,
    ( $less($sum(-1.0,sK0),sK0)
    | ~ spl6_19
    | ~ spl6_21 ),
    inference(backward_demodulation,[],[f204,f227]) ).

tff(f204,plain,
    ( $less($sum(-1.0,sK1),sK1)
    | ~ spl6_19 ),
    inference(avatar_component_clause,[],[f203]) ).

tff(f274,plain,
    ( spl6_26
    | ~ spl6_12
    | ~ spl6_21 ),
    inference(avatar_split_clause,[],[f243,f226,f124,f272]) ).

tff(f243,plain,
    ( ( 1.0 = $sum(sK0,sF2) )
    | ~ spl6_12
    | ~ spl6_21 ),
    inference(backward_demodulation,[],[f125,f227]) ).

tff(f266,plain,
    ( spl6_25
    | ~ spl6_18
    | ~ spl6_21 ),
    inference(avatar_split_clause,[],[f248,f226,f153,f263]) ).

tff(f153,plain,
    ( spl6_18
  <=> ( $floor(sK1) = sK1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_18])]) ).

tff(f248,plain,
    ( ( $floor(sK0) = sK0 )
    | ~ spl6_18
    | ~ spl6_21 ),
    inference(backward_demodulation,[],[f154,f227]) ).

tff(f154,plain,
    ( ( $floor(sK1) = sK1 )
    | ~ spl6_18 ),
    inference(avatar_component_clause,[],[f153]) ).

tff(f265,plain,
    ( spl6_25
    | ~ spl6_17
    | ~ spl6_21 ),
    inference(avatar_split_clause,[],[f247,f226,f149,f263]) ).

tff(f149,plain,
    ( spl6_17
  <=> ( $floor(sK0) = sK1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_17])]) ).

tff(f247,plain,
    ( ( $floor(sK0) = sK0 )
    | ~ spl6_17
    | ~ spl6_21 ),
    inference(backward_demodulation,[],[f150,f227]) ).

tff(f150,plain,
    ( ( $floor(sK0) = sK1 )
    | ~ spl6_17 ),
    inference(avatar_component_clause,[],[f149]) ).

tff(f261,plain,
    ( spl6_24
    | ~ spl6_13
    | ~ spl6_21 ),
    inference(avatar_split_clause,[],[f244,f226,f128,f259]) ).

tff(f259,plain,
    ( spl6_24
  <=> ( sF4 = sK0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_24])]) ).

tff(f128,plain,
    ( spl6_13
  <=> ( sK1 = sF4 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_13])]) ).

tff(f244,plain,
    ( ( sF4 = sK0 )
    | ~ spl6_13
    | ~ spl6_21 ),
    inference(backward_demodulation,[],[f129,f227]) ).

tff(f129,plain,
    ( ( sK1 = sF4 )
    | ~ spl6_13 ),
    inference(avatar_component_clause,[],[f128]) ).

tff(f257,plain,
    ( spl6_23
    | ~ spl6_15
    | ~ spl6_21 ),
    inference(avatar_split_clause,[],[f245,f226,f141,f255]) ).

tff(f255,plain,
    ( spl6_23
  <=> ( sF5 = sK0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_23])]) ).

tff(f141,plain,
    ( spl6_15
  <=> ( sF5 = sK1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_15])]) ).

tff(f245,plain,
    ( ( sF5 = sK0 )
    | ~ spl6_15
    | ~ spl6_21 ),
    inference(backward_demodulation,[],[f142,f227]) ).

tff(f142,plain,
    ( ( sF5 = sK1 )
    | ~ spl6_15 ),
    inference(avatar_component_clause,[],[f141]) ).

tff(f231,plain,
    ( spl6_21
    | spl6_22
    | spl6_16 ),
    inference(avatar_split_clause,[],[f164,f145,f229,f226]) ).

tff(f229,plain,
    ( spl6_22
  <=> $less(sK1,sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_22])]) ).

tff(f145,plain,
    ( spl6_16
  <=> $less(sK0,sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_16])]) ).

tff(f164,plain,
    ( $less(sK1,sK0)
    | ( sK1 = sK0 )
    | spl6_16 ),
    inference(resolution,[],[f146,f11]) ).

tff(f11,plain,
    ! [X0: $real,X1: $real] :
      ( $less(X1,X0)
      | ( X0 = X1 )
      | $less(X0,X1) ),
    introduced(theory_axiom_149,[]) ).

tff(f146,plain,
    ( ~ $less(sK0,sK1)
    | spl6_16 ),
    inference(avatar_component_clause,[],[f145]) ).

tff(f210,plain,
    ( spl6_19
    | ~ spl6_18 ),
    inference(avatar_split_clause,[],[f163,f153,f203]) ).

tff(f163,plain,
    ( $less($sum(-1.0,sK1),sK1)
    | ~ spl6_18 ),
    inference(forward_demodulation,[],[f162,f4]) ).

tff(f162,plain,
    ( $less($sum(sK1,-1.0),sK1)
    | ~ spl6_18 ),
    inference(evaluation,[],[f160]) ).

tff(f160,plain,
    ( $less($sum(sK1,$uminus(1.0)),sK1)
    | ~ spl6_18 ),
    inference(superposition,[],[f16,f154]) ).

tff(f209,plain,
    ( spl6_20
    | ~ spl6_17 ),
    inference(avatar_split_clause,[],[f159,f149,f207]) ).

tff(f159,plain,
    ( $less($sum(-1.0,sK0),sK1)
    | ~ spl6_17 ),
    inference(forward_demodulation,[],[f158,f4]) ).

tff(f158,plain,
    ( $less($sum(sK0,-1.0),sK1)
    | ~ spl6_17 ),
    inference(evaluation,[],[f156]) ).

tff(f156,plain,
    ( $less($sum(sK0,$uminus(1.0)),sK1)
    | ~ spl6_17 ),
    inference(superposition,[],[f16,f150]) ).

tff(f205,plain,
    ( spl6_19
    | ~ spl6_9
    | ~ spl6_13 ),
    inference(avatar_split_clause,[],[f134,f128,f87,f203]) ).

tff(f87,plain,
    ( spl6_9
  <=> $less($sum(-1.0,sK1),sF4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_9])]) ).

tff(f134,plain,
    ( $less($sum(-1.0,sK1),sK1)
    | ~ spl6_9
    | ~ spl6_13 ),
    inference(backward_demodulation,[],[f88,f129]) ).

tff(f88,plain,
    ( $less($sum(-1.0,sK1),sF4)
    | ~ spl6_9 ),
    inference(avatar_component_clause,[],[f87]) ).

tff(f155,plain,
    ( spl6_18
    | ~ spl6_5
    | ~ spl6_13 ),
    inference(avatar_split_clause,[],[f138,f128,f45,f153]) ).

tff(f45,plain,
    ( spl6_5
  <=> ( $floor(sK1) = sF4 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_5])]) ).

tff(f138,plain,
    ( ( $floor(sK1) = sK1 )
    | ~ spl6_5
    | ~ spl6_13 ),
    inference(backward_demodulation,[],[f46,f129]) ).

tff(f46,plain,
    ( ( $floor(sK1) = sF4 )
    | ~ spl6_5 ),
    inference(avatar_component_clause,[],[f45]) ).

tff(f151,plain,
    ( spl6_17
    | ~ spl6_4
    | ~ spl6_13 ),
    inference(avatar_split_clause,[],[f136,f128,f40,f149]) ).

tff(f40,plain,
    ( spl6_4
  <=> ( $floor(sK0) = sF4 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_4])]) ).

tff(f136,plain,
    ( ( $floor(sK0) = sK1 )
    | ~ spl6_4
    | ~ spl6_13 ),
    inference(backward_demodulation,[],[f41,f129]) ).

tff(f41,plain,
    ( ( $floor(sK0) = sF4 )
    | ~ spl6_4 ),
    inference(avatar_component_clause,[],[f40]) ).

tff(f147,plain,
    ( ~ spl6_16
    | spl6_8
    | ~ spl6_13 ),
    inference(avatar_split_clause,[],[f135,f128,f60,f145]) ).

tff(f60,plain,
    ( spl6_8
  <=> $less(sK0,sF4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_8])]) ).

tff(f135,plain,
    ( ~ $less(sK0,sK1)
    | spl6_8
    | ~ spl6_13 ),
    inference(backward_demodulation,[],[f61,f129]) ).

tff(f61,plain,
    ( ~ $less(sK0,sF4)
    | spl6_8 ),
    inference(avatar_component_clause,[],[f60]) ).

tff(f143,plain,
    ( spl6_15
    | ~ spl6_2
    | ~ spl6_13 ),
    inference(avatar_split_clause,[],[f139,f128,f32,f141]) ).

tff(f32,plain,
    ( spl6_2
  <=> ( sF5 = sF4 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_2])]) ).

tff(f139,plain,
    ( ( sF5 = sK1 )
    | ~ spl6_2
    | ~ spl6_13 ),
    inference(backward_demodulation,[],[f33,f129]) ).

tff(f33,plain,
    ( ( sF5 = sF4 )
    | ~ spl6_2 ),
    inference(avatar_component_clause,[],[f32]) ).

tff(f133,plain,
    ( spl6_13
    | spl6_14
    | spl6_6 ),
    inference(avatar_split_clause,[],[f95,f50,f131,f128]) ).

tff(f131,plain,
    ( spl6_14
  <=> $less(sF4,sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_14])]) ).

tff(f50,plain,
    ( spl6_6
  <=> $less(sK1,sF4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_6])]) ).

tff(f95,plain,
    ( $less(sF4,sK1)
    | ( sK1 = sF4 )
    | spl6_6 ),
    inference(resolution,[],[f11,f51]) ).

tff(f51,plain,
    ( ~ $less(sK1,sF4)
    | spl6_6 ),
    inference(avatar_component_clause,[],[f50]) ).

tff(f126,plain,
    ( spl6_12
    | ~ spl6_7
    | ~ spl6_10 ),
    inference(avatar_split_clause,[],[f121,f115,f56,f124]) ).

tff(f56,plain,
    ( spl6_7
  <=> ( $sum(sK1,sF2) = sF3 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_7])]) ).

tff(f115,plain,
    ( spl6_10
  <=> ( 1.0 = sF3 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_10])]) ).

tff(f121,plain,
    ( ( 1.0 = $sum(sK1,sF2) )
    | ~ spl6_7
    | ~ spl6_10 ),
    inference(backward_demodulation,[],[f57,f116]) ).

tff(f116,plain,
    ( ( 1.0 = sF3 )
    | ~ spl6_10 ),
    inference(avatar_component_clause,[],[f115]) ).

tff(f57,plain,
    ( ( $sum(sK1,sF2) = sF3 )
    | ~ spl6_7 ),
    inference(avatar_component_clause,[],[f56]) ).

tff(f120,plain,
    ( spl6_10
    | spl6_11
    | spl6_1 ),
    inference(avatar_split_clause,[],[f96,f28,f118,f115]) ).

tff(f118,plain,
    ( spl6_11
  <=> $less(1.0,sF3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_11])]) ).

tff(f28,plain,
    ( spl6_1
  <=> $less(sF3,1.0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_1])]) ).

tff(f96,plain,
    ( $less(1.0,sF3)
    | ( 1.0 = sF3 )
    | spl6_1 ),
    inference(resolution,[],[f11,f29]) ).

tff(f29,plain,
    ( ~ $less(sF3,1.0)
    | spl6_1 ),
    inference(avatar_component_clause,[],[f28]) ).

tff(f89,plain,
    ( spl6_9
    | ~ spl6_5 ),
    inference(avatar_split_clause,[],[f79,f45,f87]) ).

tff(f79,plain,
    ( $less($sum(-1.0,sK1),sF4)
    | ~ spl6_5 ),
    inference(forward_demodulation,[],[f74,f4]) ).

tff(f74,plain,
    ( $less($sum(sK1,-1.0),sF4)
    | ~ spl6_5 ),
    inference(evaluation,[],[f72]) ).

tff(f72,plain,
    ( $less($sum(sK1,$uminus(1.0)),sF4)
    | ~ spl6_5 ),
    inference(superposition,[],[f16,f46]) ).

tff(f62,plain,
    ( ~ spl6_8
    | ~ spl6_4 ),
    inference(avatar_split_clause,[],[f53,f40,f60]) ).

tff(f53,plain,
    ( ~ $less(sK0,sF4)
    | ~ spl6_4 ),
    inference(superposition,[],[f15,f41]) ).

tff(f15,plain,
    ! [X0: $real] : ~ $less(X0,$floor(X0)),
    introduced(theory_axiom_167,[]) ).

tff(f58,plain,
    spl6_7,
    inference(avatar_split_clause,[],[f22,f56]) ).

tff(f22,plain,
    $sum(sK1,sF2) = sF3,
    introduced(function_definition,[]) ).

tff(f52,plain,
    ( ~ spl6_6
    | ~ spl6_5 ),
    inference(avatar_split_clause,[],[f48,f45,f50]) ).

tff(f48,plain,
    ( ~ $less(sK1,sF4)
    | ~ spl6_5 ),
    inference(superposition,[],[f15,f46]) ).

tff(f47,plain,
    ( spl6_5
    | ~ spl6_2 ),
    inference(avatar_split_clause,[],[f43,f32,f45]) ).

tff(f43,plain,
    ( ( $floor(sK1) = sF4 )
    | ~ spl6_2 ),
    inference(forward_demodulation,[],[f25,f33]) ).

tff(f25,plain,
    sF5 = $floor(sK1),
    introduced(function_definition,[]) ).

tff(f42,plain,
    spl6_4,
    inference(avatar_split_clause,[],[f24,f40]) ).

tff(f24,plain,
    $floor(sK0) = sF4,
    introduced(function_definition,[]) ).

tff(f38,plain,
    spl6_3,
    inference(avatar_split_clause,[],[f21,f36]) ).

tff(f21,plain,
    $uminus(sK0) = sF2,
    introduced(function_definition,[]) ).

tff(f34,plain,
    spl6_2,
    inference(avatar_split_clause,[],[f26,f32]) ).

tff(f26,plain,
    sF5 = sF4,
    inference(definition_folding,[],[f19,f25,f24]) ).

tff(f19,plain,
    $floor(sK0) = $floor(sK1),
    inference(cnf_transformation,[],[f18]) ).

tff(f18,plain,
    ? [X0: $real,X1: $real] :
      ( ~ $less($sum(X1,$uminus(X0)),1.0)
      & ( $floor(X0) = $floor(X1) ) ),
    inference(ennf_transformation,[],[f17]) ).

tff(f17,plain,
    ~ ! [X1: $real,X0: $real] :
        ( ( $floor(X0) = $floor(X1) )
       => $less($sum(X1,$uminus(X0)),1.0) ),
    inference(rectify,[],[f3]) ).

tff(f3,plain,
    ~ ! [X1: $real,X0: $real] :
        ( ( $floor(X0) = $floor(X1) )
       => $less($sum(X0,$uminus(X1)),1.0) ),
    inference(theory_normalization,[],[f2]) ).

tff(f2,negated_conjecture,
    ~ ! [X1: $real,X0: $real] :
        ( ( $floor(X0) = $floor(X1) )
       => $less($difference(X0,X1),1.0) ),
    inference(negated_conjecture,[],[f1]) ).

tff(f1,conjecture,
    ! [X1: $real,X0: $real] :
      ( ( $floor(X0) = $floor(X1) )
     => $less($difference(X0,X1),1.0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove) ).

tff(f30,plain,
    ~ spl6_1,
    inference(avatar_split_clause,[],[f23,f28]) ).

tff(f23,plain,
    ~ $less(sF3,1.0),
    inference(definition_folding,[],[f20,f22,f21]) ).

tff(f20,plain,
    ~ $less($sum(sK1,$uminus(sK0)),1.0),
    inference(cnf_transformation,[],[f18]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : ARI729=1 : TPTP v8.1.0. Released v6.3.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.33  % Computer : n020.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
% 0.13/0.33  % CPULimit   : 300
% 0.13/0.33  % WCLimit    : 300
% 0.13/0.33  % DateTime   : Mon Aug 29 16:24:45 EDT 2022
% 0.13/0.33  % CPUTime    : 
% 0.18/0.53  % (2964)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)
% 0.18/0.54  % (2970)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)
% 0.18/0.54  % (2962)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)
% 0.18/0.54  % (2980)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)
% 0.18/0.55  % (2972)lrs+10_1:1_ev=force:gve=cautious:tha=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.18/0.55  % (2972)Instruction limit reached!
% 0.18/0.55  % (2972)------------------------------
% 0.18/0.55  % (2972)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.55  % (2972)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.55  % (2972)Termination reason: Unknown
% 0.18/0.55  % (2972)Termination phase: Saturation
% 0.18/0.55  
% 0.18/0.55  % (2972)Memory used [KB]: 895
% 0.18/0.55  % (2972)Time elapsed: 0.003 s
% 0.18/0.55  % (2972)Instructions burned: 2 (million)
% 0.18/0.55  % (2972)------------------------------
% 0.18/0.55  % (2972)------------------------------
% 0.18/0.55  % (2978)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)
% 1.76/0.58  % (2964)Instruction limit reached!
% 1.76/0.58  % (2964)------------------------------
% 1.76/0.58  % (2964)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.76/0.58  % (2964)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.76/0.58  % (2964)Termination reason: Unknown
% 1.76/0.58  % (2964)Termination phase: Saturation
% 1.76/0.58  
% 1.76/0.58  % (2964)Memory used [KB]: 5756
% 1.76/0.58  % (2964)Time elapsed: 0.156 s
% 1.76/0.58  % (2964)Instructions burned: 26 (million)
% 1.76/0.58  % (2964)------------------------------
% 1.76/0.58  % (2964)------------------------------
% 1.76/0.58  % (2956)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)
% 1.76/0.58  % (2982)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 1.76/0.59  % (2981)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)
% 1.76/0.59  % (2977)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)
% 1.76/0.59  % (2959)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)
% 1.76/0.59  % (2959)Instruction limit reached!
% 1.76/0.59  % (2959)------------------------------
% 1.76/0.59  % (2959)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.76/0.59  % (2959)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.76/0.59  % (2959)Termination reason: Unknown
% 1.76/0.59  % (2959)Termination phase: Saturation
% 1.76/0.59  
% 1.76/0.59  % (2959)Memory used [KB]: 5373
% 1.76/0.59  % (2959)Time elapsed: 0.003 s
% 1.76/0.59  % (2959)Instructions burned: 2 (million)
% 1.76/0.59  % (2959)------------------------------
% 1.76/0.59  % (2959)------------------------------
% 1.76/0.59  % (2971)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)
% 1.76/0.59  % (2966)lrs+10_1:1_canc=force:tha=some:to=lpo:i=35:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/35Mi)
% 1.76/0.59  % (2961)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)
% 1.76/0.59  % (2960)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)
% 1.76/0.59  % (2958)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)
% 1.76/0.59  % (2973)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)
% 1.76/0.60  % (2963)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)
% 1.76/0.60  % (2958)Instruction limit reached!
% 1.76/0.60  % (2958)------------------------------
% 1.76/0.60  % (2958)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.76/0.60  % (2958)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.76/0.60  % (2958)Termination reason: Unknown
% 1.76/0.60  % (2958)Termination phase: Saturation
% 1.76/0.60  
% 1.76/0.60  % (2958)Memory used [KB]: 5500
% 1.76/0.60  % (2958)Time elapsed: 0.195 s
% 1.76/0.60  % (2958)Instructions burned: 8 (million)
% 1.76/0.60  % (2958)------------------------------
% 1.76/0.60  % (2958)------------------------------
% 1.76/0.60  % (2974)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)
% 1.76/0.60  % (2979)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)
% 1.76/0.60  % (2974)Refutation not found, incomplete strategy% (2974)------------------------------
% 1.76/0.60  % (2974)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.76/0.60  % (2974)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.76/0.60  % (2974)Termination reason: Refutation not found, incomplete strategy
% 1.76/0.60  
% 1.76/0.60  % (2974)Memory used [KB]: 5373
% 1.76/0.60  % (2974)Time elapsed: 0.200 s
% 1.76/0.60  % (2974)Instructions burned: 2 (million)
% 1.76/0.60  % (2974)------------------------------
% 1.76/0.60  % (2974)------------------------------
% 1.76/0.60  % (2969)dis+10_1:64_nwc=1.4:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 1.76/0.60  % (2969)Refutation not found, incomplete strategy% (2969)------------------------------
% 1.76/0.60  % (2969)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.76/0.60  % (2969)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.76/0.60  % (2969)Termination reason: Refutation not found, incomplete strategy
% 1.76/0.60  
% 1.76/0.60  % (2969)Memory used [KB]: 5373
% 1.76/0.60  % (2969)Time elapsed: 0.198 s
% 1.76/0.60  % (2969)Instructions burned: 2 (million)
% 1.76/0.60  % (2969)------------------------------
% 1.76/0.60  % (2969)------------------------------
% 1.76/0.60  % (2965)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)
% 1.76/0.60  % (2965)Instruction limit reached!
% 1.76/0.60  % (2965)------------------------------
% 1.76/0.60  % (2965)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.76/0.60  % (2965)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.76/0.60  % (2965)Termination reason: Unknown
% 1.76/0.60  % (2965)Termination phase: Saturation
% 1.76/0.60  
% 1.76/0.60  % (2965)Memory used [KB]: 895
% 1.76/0.60  % (2965)Time elapsed: 0.003 s
% 1.76/0.60  % (2965)Instructions burned: 2 (million)
% 1.76/0.60  % (2965)------------------------------
% 1.76/0.60  % (2965)------------------------------
% 1.76/0.60  % (2985)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)
% 1.76/0.60  % (2957)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)
% 1.76/0.60  % (2967)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)
% 1.76/0.61  % (2967)Instruction limit reached!
% 1.76/0.61  % (2967)------------------------------
% 1.76/0.61  % (2967)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.76/0.61  % (2967)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.76/0.61  % (2967)Termination reason: Unknown
% 1.76/0.61  % (2967)Termination phase: Saturation
% 1.76/0.61  
% 1.76/0.61  % (2967)Memory used [KB]: 5500
% 1.76/0.61  % (2967)Time elapsed: 0.203 s
% 1.76/0.61  % (2967)Instructions burned: 5 (million)
% 1.76/0.61  % (2967)------------------------------
% 1.76/0.61  % (2967)------------------------------
% 1.76/0.61  % (2977)Refutation not found, incomplete strategy% (2977)------------------------------
% 1.76/0.61  % (2977)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.76/0.61  % (2977)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.76/0.61  % (2977)Termination reason: Refutation not found, incomplete strategy
% 1.76/0.61  
% 1.76/0.61  % (2977)Memory used [KB]: 5373
% 1.76/0.61  % (2977)Time elapsed: 0.209 s
% 1.76/0.61  % (2977)Instructions burned: 2 (million)
% 1.76/0.61  % (2977)------------------------------
% 1.76/0.61  % (2977)------------------------------
% 1.76/0.61  % (2975)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)
% 1.76/0.61  % (2962)Instruction limit reached!
% 1.76/0.61  % (2962)------------------------------
% 1.76/0.61  % (2962)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.76/0.61  % (2962)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.76/0.61  % (2962)Termination reason: Unknown
% 1.76/0.61  % (2962)Termination phase: Saturation
% 1.76/0.61  
% 1.76/0.61  % (2962)Memory used [KB]: 5756
% 1.76/0.61  % (2962)Time elapsed: 0.195 s
% 1.76/0.61  % (2962)Instructions burned: 32 (million)
% 1.76/0.61  % (2962)------------------------------
% 1.76/0.61  % (2962)------------------------------
% 1.76/0.61  % (2975)Refutation not found, incomplete strategy% (2975)------------------------------
% 1.76/0.61  % (2975)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.76/0.61  % (2975)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.76/0.61  % (2975)Termination reason: Refutation not found, incomplete strategy
% 1.76/0.61  
% 1.76/0.61  % (2975)Memory used [KB]: 5373
% 1.76/0.61  % (2975)Time elapsed: 0.207 s
% 1.76/0.61  % (2975)Instructions burned: 1 (million)
% 1.76/0.61  % (2975)------------------------------
% 1.76/0.61  % (2975)------------------------------
% 1.76/0.61  % (2971)Instruction limit reached!
% 1.76/0.61  % (2971)------------------------------
% 1.76/0.61  % (2971)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.76/0.61  % (2971)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.76/0.61  % (2971)Termination reason: Unknown
% 1.76/0.61  % (2971)Termination phase: Saturation
% 1.76/0.61  
% 1.76/0.61  % (2971)Memory used [KB]: 5373
% 1.76/0.61  % (2971)Time elapsed: 0.003 s
% 1.76/0.61  % (2971)Instructions burned: 2 (million)
% 1.76/0.61  % (2971)------------------------------
% 1.76/0.61  % (2971)------------------------------
% 1.76/0.61  % (2983)dis+10_1:64_nwc=1.4:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 1.76/0.61  % (2983)Refutation not found, incomplete strategy% (2983)------------------------------
% 1.76/0.61  % (2983)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.76/0.61  % (2983)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.76/0.61  % (2983)Termination reason: Refutation not found, incomplete strategy
% 1.76/0.61  
% 1.76/0.61  % (2983)Memory used [KB]: 5373
% 1.76/0.61  % (2983)Time elapsed: 0.208 s
% 1.76/0.61  % (2983)Instructions burned: 2 (million)
% 1.76/0.61  % (2983)------------------------------
% 1.76/0.61  % (2983)------------------------------
% 1.76/0.62  % (2968)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)
% 1.76/0.62  % (2968)Instruction limit reached!
% 1.76/0.62  % (2968)------------------------------
% 1.76/0.62  % (2968)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.76/0.62  % (2968)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.76/0.62  % (2968)Termination reason: Unknown
% 1.76/0.62  % (2968)Termination phase: Property scanning
% 1.76/0.62  
% 1.76/0.62  % (2968)Memory used [KB]: 895
% 1.76/0.62  % (2968)Time elapsed: 0.003 s
% 1.76/0.62  % (2968)Instructions burned: 2 (million)
% 1.76/0.62  % (2968)------------------------------
% 1.76/0.62  % (2968)------------------------------
% 1.76/0.63  % (2984)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)
% 1.76/0.63  % (2976)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)
% 1.76/0.64  % (2961)Instruction limit reached!
% 1.76/0.64  % (2961)------------------------------
% 1.76/0.64  % (2961)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.76/0.64  % (2961)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.76/0.64  % (2961)Termination reason: Unknown
% 1.76/0.64  % (2961)Termination phase: Saturation
% 1.76/0.64  
% 1.76/0.64  % (2961)Memory used [KB]: 5628
% 1.76/0.64  % (2961)Time elapsed: 0.195 s
% 1.76/0.64  % (2961)Instructions burned: 15 (million)
% 1.76/0.64  % (2961)------------------------------
% 1.76/0.64  % (2961)------------------------------
% 1.76/0.64  % (2980)Instruction limit reached!
% 1.76/0.64  % (2980)------------------------------
% 1.76/0.64  % (2980)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.76/0.64  % (2978)Instruction limit reached!
% 1.76/0.64  % (2978)------------------------------
% 1.76/0.64  % (2978)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.76/0.64  % (2978)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.76/0.64  % (2978)Termination reason: Unknown
% 1.76/0.64  % (2978)Termination phase: Saturation
% 1.76/0.64  
% 1.76/0.64  % (2978)Memory used [KB]: 1279
% 1.76/0.64  % (2978)Time elapsed: 0.231 s
% 1.76/0.64  % (2978)Instructions burned: 47 (million)
% 1.76/0.64  % (2978)------------------------------
% 1.76/0.64  % (2978)------------------------------
% 1.76/0.65  % (2970)Instruction limit reached!
% 1.76/0.65  % (2970)------------------------------
% 1.76/0.65  % (2970)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.76/0.65  % (2970)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.76/0.65  % (2970)Termination reason: Unknown
% 1.76/0.65  % (2970)Termination phase: Saturation
% 1.76/0.65  
% 1.76/0.65  % (2970)Memory used [KB]: 6396
% 1.76/0.65  % (2970)Time elapsed: 0.229 s
% 1.76/0.65  % (2970)Instructions burned: 50 (million)
% 1.76/0.65  % (2970)------------------------------
% 1.76/0.65  % (2970)------------------------------
% 1.76/0.66  % (2980)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.76/0.66  % (2980)Termination reason: Unknown
% 1.76/0.66  % (2980)Termination phase: Saturation
% 1.76/0.66  
% 1.76/0.66  % (2980)Memory used [KB]: 1535
% 1.76/0.66  % (2980)Time elapsed: 0.239 s
% 1.76/0.66  % (2980)Instructions burned: 48 (million)
% 1.76/0.66  % (2980)------------------------------
% 1.76/0.66  % (2980)------------------------------
% 1.76/0.66  % (2966)Instruction limit reached!
% 1.76/0.66  % (2966)------------------------------
% 1.76/0.66  % (2966)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.76/0.66  % (2966)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.76/0.66  % (2966)Termination reason: Unknown
% 1.76/0.66  % (2966)Termination phase: Saturation
% 1.76/0.66  
% 1.76/0.66  % (2966)Memory used [KB]: 5500
% 1.76/0.66  % (2966)Time elapsed: 0.244 s
% 1.76/0.66  % (2966)Instructions burned: 37 (million)
% 1.76/0.66  % (2966)------------------------------
% 1.76/0.66  % (2966)------------------------------
% 1.76/0.66  % (2976)Instruction limit reached!
% 1.76/0.66  % (2976)------------------------------
% 1.76/0.66  % (2976)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.76/0.66  % (2976)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.76/0.66  % (2976)Termination reason: Unknown
% 1.76/0.66  % (2976)Termination phase: Saturation
% 1.76/0.66  
% 1.76/0.66  % (2976)Memory used [KB]: 1023
% 1.76/0.66  % (2976)Time elapsed: 0.260 s
% 1.76/0.66  % (2976)Instructions burned: 15 (million)
% 1.76/0.66  % (2976)------------------------------
% 1.76/0.66  % (2976)------------------------------
% 2.44/0.68  % (2984)Instruction limit reached!
% 2.44/0.68  % (2984)------------------------------
% 2.44/0.68  % (2984)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.44/0.68  % (2984)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.44/0.68  % (2984)Termination reason: Unknown
% 2.44/0.68  % (2984)Termination phase: Saturation
% 2.44/0.68  
% 2.44/0.68  % (2984)Memory used [KB]: 5756
% 2.44/0.68  % (2984)Time elapsed: 0.261 s
% 2.44/0.68  % (2984)Instructions burned: 22 (million)
% 2.44/0.68  % (2984)------------------------------
% 2.44/0.68  % (2984)------------------------------
% 2.44/0.69  % (2957)Instruction limit reached!
% 2.44/0.69  % (2957)------------------------------
% 2.44/0.69  % (2957)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.44/0.69  % (2957)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.44/0.69  % (2957)Termination reason: Unknown
% 2.44/0.69  % (2957)Termination phase: Saturation
% 2.44/0.69  
% 2.44/0.69  % (2957)Memory used [KB]: 5756
% 2.44/0.69  % (2957)Time elapsed: 0.232 s
% 2.44/0.69  % (2957)Instructions burned: 34 (million)
% 2.44/0.69  % (2957)------------------------------
% 2.44/0.69  % (2957)------------------------------
% 2.47/0.70  % (2981)Instruction limit reached!
% 2.47/0.70  % (2981)------------------------------
% 2.47/0.70  % (2981)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.47/0.70  % (2981)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.47/0.70  % (2981)Termination reason: Unknown
% 2.47/0.70  % (2981)Termination phase: Saturation
% 2.47/0.70  
% 2.47/0.70  % (2981)Memory used [KB]: 5884
% 2.47/0.70  % (2981)Time elapsed: 0.251 s
% 2.47/0.70  % (2981)Instructions burned: 42 (million)
% 2.47/0.70  % (2981)------------------------------
% 2.47/0.70  % (2981)------------------------------
% 2.47/0.70  % (2990)lrs+10_1:1_ss=axioms:st=5.0:tha=off:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/15Mi)
% 2.47/0.71  % (2960)Instruction limit reached!
% 2.47/0.71  % (2960)------------------------------
% 2.47/0.71  % (2960)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.47/0.71  % (2960)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.47/0.71  % (2960)Termination reason: Unknown
% 2.47/0.71  % (2960)Termination phase: Saturation
% 2.47/0.71  
% 2.47/0.71  % (2960)Memory used [KB]: 6012
% 2.47/0.71  % (2960)Time elapsed: 0.289 s
% 2.47/0.71  % (2960)Instructions burned: 38 (million)
% 2.47/0.71  % (2960)------------------------------
% 2.47/0.71  % (2960)------------------------------
% 2.47/0.71  % (2990)Refutation not found, incomplete strategy% (2990)------------------------------
% 2.47/0.71  % (2990)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.47/0.71  % (2990)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.47/0.71  % (2990)Termination reason: Refutation not found, incomplete strategy
% 2.47/0.71  
% 2.47/0.71  % (2990)Memory used [KB]: 5373
% 2.47/0.71  % (2990)Time elapsed: 0.071 s
% 2.47/0.71  % (2990)Instructions burned: 2 (million)
% 2.47/0.71  % (2990)------------------------------
% 2.47/0.71  % (2990)------------------------------
% 2.47/0.72  % (2985)Instruction limit reached!
% 2.47/0.72  % (2985)------------------------------
% 2.47/0.72  % (2985)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.47/0.72  % (2985)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.47/0.72  % (2985)Termination reason: Unknown
% 2.47/0.72  % (2985)Termination phase: Saturation
% 2.47/0.72  
% 2.47/0.72  % (2985)Memory used [KB]: 6268
% 2.47/0.72  % (2985)Time elapsed: 0.298 s
% 2.47/0.72  % (2985)Instructions burned: 41 (million)
% 2.47/0.72  % (2985)------------------------------
% 2.47/0.72  % (2985)------------------------------
% 2.47/0.72  % (2982)Instruction limit reached!
% 2.47/0.72  % (2982)------------------------------
% 2.47/0.72  % (2982)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.47/0.72  % (2982)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.47/0.72  % (2982)Termination reason: Unknown
% 2.47/0.72  % (2982)Termination phase: Saturation
% 2.47/0.72  
% 2.47/0.72  % (2982)Memory used [KB]: 6012
% 2.47/0.72  % (2982)Time elapsed: 0.298 s
% 2.47/0.72  % (2982)Instructions burned: 43 (million)
% 2.47/0.72  % (2982)------------------------------
% 2.47/0.72  % (2982)------------------------------
% 2.47/0.72  % (2973)Instruction limit reached!
% 2.47/0.72  % (2973)------------------------------
% 2.47/0.72  % (2973)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.47/0.72  % (2973)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.47/0.72  % (2973)Termination reason: Unknown
% 2.47/0.72  % (2973)Termination phase: Saturation
% 2.47/0.72  
% 2.47/0.72  % (2973)Memory used [KB]: 6140
% 2.47/0.72  % (2973)Time elapsed: 0.263 s
% 2.47/0.72  % (2973)Instructions burned: 49 (million)
% 2.47/0.72  % (2973)------------------------------
% 2.47/0.72  % (2973)------------------------------
% 2.63/0.73  % (2993)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 (2997ds/47Mi)
% 2.63/0.74  % (2963)Instruction limit reached!
% 2.63/0.74  % (2963)------------------------------
% 2.63/0.74  % (2963)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.63/0.74  % (2963)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.63/0.74  % (2963)Termination reason: Unknown
% 2.63/0.74  % (2963)Termination phase: Saturation
% 2.63/0.74  
% 2.63/0.74  % (2963)Memory used [KB]: 5756
% 2.63/0.74  % (2963)Time elapsed: 0.303 s
% 2.63/0.74  % (2963)Instructions burned: 36 (million)
% 2.63/0.74  % (2963)------------------------------
% 2.63/0.74  % (2963)------------------------------
% 2.63/0.75  % (2979)Instruction limit reached!
% 2.63/0.75  % (2979)------------------------------
% 2.63/0.75  % (2979)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.63/0.75  % (2979)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.63/0.75  % (2979)Termination reason: Unknown
% 2.63/0.75  % (2979)Termination phase: Saturation
% 2.63/0.75  
% 2.63/0.75  % (2979)Memory used [KB]: 6012
% 2.63/0.75  % (2979)Time elapsed: 0.342 s
% 2.63/0.75  % (2979)Instructions burned: 51 (million)
% 2.63/0.75  % (2979)------------------------------
% 2.63/0.75  % (2979)------------------------------
% 2.63/0.78  % (2994)dis+10_1:64_nwc=1.4:rp=on:tha=off:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/25Mi)
% 2.63/0.78  % (2994)Refutation not found, incomplete strategy% (2994)------------------------------
% 2.63/0.78  % (2994)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.63/0.78  % (2994)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.63/0.78  % (2994)Termination reason: Refutation not found, incomplete strategy
% 2.63/0.78  
% 2.63/0.78  % (2994)Memory used [KB]: 5373
% 2.63/0.78  % (2994)Time elapsed: 0.130 s
% 2.63/0.78  % (2994)Instructions burned: 1 (million)
% 2.63/0.78  % (2994)------------------------------
% 2.63/0.78  % (2994)------------------------------
% 2.63/0.79  % (3002)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 (2997ds/108Mi)
% 2.68/0.80  % (2997)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 (2997ds/100Mi)
% 2.68/0.80  % (3001)lrs+10_1:1_thi=all:thigen=on:i=96:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/96Mi)
% 2.68/0.82  % (3000)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 (2997ds/58Mi)
% 2.68/0.82  % (2993)Instruction limit reached!
% 2.68/0.82  % (2993)------------------------------
% 2.68/0.82  % (2993)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.68/0.82  % (2993)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.68/0.82  % (2993)Termination reason: Unknown
% 2.68/0.82  % (2993)Termination phase: Saturation
% 2.68/0.82  
% 2.68/0.82  % (2993)Memory used [KB]: 6012
% 2.68/0.82  % (2993)Time elapsed: 0.154 s
% 2.68/0.82  % (2993)Instructions burned: 47 (million)
% 2.68/0.82  % (2993)------------------------------
% 2.68/0.82  % (2993)------------------------------
% 2.68/0.83  % (3014)dis+10_1:1_bd=off:fde=unused:gsp=on:ins=1:norm_ineq=on:sas=z3:sos=all:tha=off:i=370:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/370Mi)
% 2.68/0.83  % (3012)lrs+1011_1:1_br=off:fde=none:norm_ineq=on:nwc=10.0:sas=z3:slsq=on:slsqc=2:slsql=off:slsqr=1,4:sp=reverse_frequency:i=160:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/160Mi)
% 2.68/0.83  % (3010)lrs+1010_5:1_aer=off:norm_ineq=on:sas=z3:sos=all:ss=axioms:tha=off:i=150:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/150Mi)
% 2.68/0.83  % (3005)lrs+10_1:1_newcnf=on:sas=z3:tgt=ground:tha=off:i=223:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/223Mi)
% 2.68/0.83  % (2998)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 (2997ds/76Mi)
% 2.68/0.84  % (2995)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 (2997ds/148Mi)
% 2.68/0.84  % (3006)lrs+1002_1:1_av=off:br=off:fs=off:fsr=off:tha=off:urr=ec_only:i=343:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/343Mi)
% 2.68/0.84  % (3006)Refutation not found, incomplete strategy% (3006)------------------------------
% 2.68/0.84  % (3006)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.68/0.84  % (3006)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.68/0.84  % (3006)Termination reason: Refutation not found, incomplete strategy
% 2.68/0.84  
% 2.68/0.84  % (3006)Memory used [KB]: 895
% 2.68/0.84  % (3006)Time elapsed: 0.175 s
% 2.68/0.84  % (3006)Instructions burned: 2 (million)
% 2.68/0.84  % (3006)------------------------------
% 2.68/0.84  % (3006)------------------------------
% 2.68/0.84  % (3008)lrs+1011_1:1_br=off:fs=off:fsr=off:tha=off:urr=ec_only:i=488:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/488Mi)
% 2.68/0.87  % (3008)Refutation not found, incomplete strategy% (3008)------------------------------
% 2.68/0.87  % (3008)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.68/0.87  % (3008)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.68/0.87  % (3008)Termination reason: Refutation not found, incomplete strategy
% 2.68/0.87  
% 2.68/0.87  % (3008)Memory used [KB]: 5373
% 2.68/0.87  % (3008)Time elapsed: 0.204 s
% 2.68/0.87  % (3008)Instructions burned: 2 (million)
% 2.68/0.87  % (3008)------------------------------
% 2.68/0.87  % (3008)------------------------------
% 2.90/0.88  % (3025)lrs+11_1:1_erd=off:fs=off:fsr=off:norm_ineq=on:nwc=10.0:s2a=on:s2at=3.0:sas=z3:tha=some:i=294:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/294Mi)
% 2.90/0.89  % (3017)lrs+10_1:1_amm=sco:norm_ineq=on:nwc=3.0:plsq=on:plsqc=2:plsqr=32,1:sas=z3:sp=const_min:tha=off:to=lpo:i=146:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/146Mi)
% 2.90/0.89  % (3015)lrs+1010_5:1_norm_ineq=on:sas=z3:sos=all:ss=axioms:tha=off:i=493:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/493Mi)
% 2.90/0.89  % (3003)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 (2997ds/463Mi)
% 2.90/0.90  % (3026)lrs+30_1:64_flr=on:sp=frequency:to=lpo:i=213:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/213Mi)
% 2.90/0.90  % (2956)First to succeed.
% 2.90/0.90  % (2956)Refutation found. Thanks to Tanya!
% 2.90/0.90  % SZS status Theorem for theBenchmark
% 2.90/0.90  % SZS output start Proof for theBenchmark
% See solution above
% 2.90/0.90  % (2956)------------------------------
% 2.90/0.90  % (2956)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.90/0.90  % (2956)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.90/0.90  % (2956)Termination reason: Refutation
% 2.90/0.90  
% 2.90/0.90  % (2956)Memory used [KB]: 1151
% 2.90/0.90  % (2956)Time elapsed: 0.383 s
% 2.90/0.90  % (2956)Instructions burned: 118 (million)
% 2.90/0.90  % (2956)------------------------------
% 2.90/0.90  % (2956)------------------------------
% 2.90/0.90  % (2955)Success in time 0.562 s
%------------------------------------------------------------------------------