TSTP Solution File: ARI639_1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : ARI639_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 : n002.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 15:46:42 EDT 2022

% Result   : Theorem 3.11s 0.93s
% Output   : Refutation 3.11s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   68
% Syntax   : Number of formulae    :  168 (  45 unt;  13 typ;   0 def)
%            Number of atoms       :  312 (  59 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  258 ( 101   ~; 123   |;   0   &)
%                                         (  34 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    7 (   1 avg)
%            Number arithmetic     :  290 (  83 atm;  87 fun;  99 num;  21 var)
%            Number of types       :    1 (   0 usr;   1 ari)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   39 (  34 usr;  35 prp; 0-2 aty)
%            Number of functors    :   22 (  13 usr;  19 con; 0-2 aty)
%            Number of variables   :   21 (  21   !;   0   ?;  21   :)

% Comments : 
%------------------------------------------------------------------------------
tff(func_def_0,type,
    eps: $real ).

tff(func_def_1,type,
    c: $real ).

tff(func_def_2,type,
    k: $real ).

tff(func_def_3,type,
    x: $real ).

tff(func_def_4,type,
    n: $real ).

tff(func_def_13,type,
    sF0: $real ).

tff(func_def_14,type,
    sF1: $real ).

tff(func_def_15,type,
    sF2: $real ).

tff(func_def_16,type,
    sF3: $real ).

tff(func_def_17,type,
    sF4: $real ).

tff(func_def_18,type,
    sF5: $real ).

tff(func_def_19,type,
    sF6: $real ).

tff(func_def_20,type,
    sF7: $real ).

tff(f595,plain,
    $false,
    inference(avatar_smt_refutation,[],[f51,f55,f59,f63,f67,f71,f75,f79,f83,f88,f92,f96,f100,f106,f147,f188,f347,f348,f349,f395,f399,f404,f405,f406,f407,f408,f409,f423,f457,f469,f486,f493,f525,f549,f560,f589]) ).

tff(f589,plain,
    ( spl8_3
    | ~ spl8_14
    | ~ spl8_32 ),
    inference(avatar_contradiction_clause,[],[f588]) ).

tff(f588,plain,
    ( $false
    | spl8_3
    | ~ spl8_14
    | ~ spl8_32 ),
    inference(subsumption_resolution,[],[f579,f58]) ).

tff(f58,plain,
    ( ~ $less(n,0.0)
    | spl8_3 ),
    inference(avatar_component_clause,[],[f57]) ).

tff(f57,plain,
    ( spl8_3
  <=> $less(n,0.0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_3])]) ).

tff(f579,plain,
    ( $less(n,0.0)
    | ~ spl8_14
    | ~ spl8_32 ),
    inference(evaluation,[],[f563]) ).

tff(f563,plain,
    ( $less(n,$product(0.5,0.0))
    | ~ spl8_14
    | ~ spl8_32 ),
    inference(backward_demodulation,[],[f105,f545]) ).

tff(f545,plain,
    ( ( 0.0 = sF7 )
    | ~ spl8_32 ),
    inference(avatar_component_clause,[],[f544]) ).

tff(f544,plain,
    ( spl8_32
  <=> ( 0.0 = sF7 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_32])]) ).

tff(f105,plain,
    ( $less(n,$product(0.5,sF7))
    | ~ spl8_14 ),
    inference(avatar_component_clause,[],[f104]) ).

tff(f104,plain,
    ( spl8_14
  <=> $less(n,$product(0.5,sF7)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_14])]) ).

tff(f560,plain,
    ( spl8_33
    | spl8_34
    | spl8_32
    | ~ spl8_4
    | ~ spl8_16 ),
    inference(avatar_split_clause,[],[f462,f183,f61,f544,f558,f547]) ).

tff(f547,plain,
    ( spl8_33
  <=> $less(0.0,sF6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_33])]) ).

tff(f558,plain,
    ( spl8_34
  <=> $less(sF7,c) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_34])]) ).

tff(f61,plain,
    ( spl8_4
  <=> $less(0.0,c) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_4])]) ).

tff(f183,plain,
    ( spl8_16
  <=> $less(sF7,sF6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_16])]) ).

tff(f462,plain,
    ( ( 0.0 = sF7 )
    | $less(sF7,c)
    | $less(0.0,sF6)
    | ~ spl8_4
    | ~ spl8_16 ),
    inference(resolution,[],[f160,f190]) ).

tff(f190,plain,
    ( ! [X0: $real] :
        ( $less(sF7,X0)
        | ( sF7 = X0 )
        | $less(X0,sF6) )
    | ~ spl8_16 ),
    inference(resolution,[],[f189,f18]) ).

tff(f18,plain,
    ! [X0: $real,X1: $real] :
      ( $less(X1,X0)
      | ( X0 = X1 )
      | $less(X0,X1) ),
    introduced(theory_axiom_149,[]) ).

tff(f189,plain,
    ( ! [X0: $real] :
        ( ~ $less(X0,sF7)
        | $less(X0,sF6) )
    | ~ spl8_16 ),
    inference(resolution,[],[f184,f17]) ).

tff(f17,plain,
    ! [X2: $real,X0: $real,X1: $real] :
      ( ~ $less(X1,X2)
      | $less(X0,X2)
      | ~ $less(X0,X1) ),
    introduced(theory_axiom_148,[]) ).

tff(f184,plain,
    ( $less(sF7,sF6)
    | ~ spl8_16 ),
    inference(avatar_component_clause,[],[f183]) ).

tff(f160,plain,
    ( ! [X6: $real] :
        ( ~ $less(X6,0.0)
        | $less(X6,c) )
    | ~ spl8_4 ),
    inference(resolution,[],[f17,f62]) ).

tff(f62,plain,
    ( $less(0.0,c)
    | ~ spl8_4 ),
    inference(avatar_component_clause,[],[f61]) ).

tff(f549,plain,
    ( spl8_31
    | spl8_32
    | spl8_33
    | ~ spl8_2
    | ~ spl8_16 ),
    inference(avatar_split_clause,[],[f447,f183,f53,f547,f544,f541]) ).

tff(f541,plain,
    ( spl8_31
  <=> $less(sF7,eps) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_31])]) ).

tff(f53,plain,
    ( spl8_2
  <=> $less(0.0,eps) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_2])]) ).

tff(f447,plain,
    ( $less(0.0,sF6)
    | ( 0.0 = sF7 )
    | $less(sF7,eps)
    | ~ spl8_2
    | ~ spl8_16 ),
    inference(resolution,[],[f159,f190]) ).

tff(f159,plain,
    ( ! [X5: $real] :
        ( ~ $less(X5,0.0)
        | $less(X5,eps) )
    | ~ spl8_2 ),
    inference(resolution,[],[f17,f54]) ).

tff(f54,plain,
    ( $less(0.0,eps)
    | ~ spl8_2 ),
    inference(avatar_component_clause,[],[f53]) ).

tff(f525,plain,
    ( spl8_30
    | spl8_29
    | ~ spl8_10
    | ~ spl8_21 ),
    inference(avatar_split_clause,[],[f511,f449,f86,f491,f523]) ).

tff(f523,plain,
    ( spl8_30
  <=> $less(sF4,1.0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_30])]) ).

tff(f491,plain,
    ( spl8_29
  <=> $less(sF7,sF5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_29])]) ).

tff(f86,plain,
    ( spl8_10
  <=> ( $sum(sF4,1.0) = sF5 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_10])]) ).

tff(f449,plain,
    ( spl8_21
  <=> $less(sF7,1.0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_21])]) ).

tff(f511,plain,
    ( $less(sF7,sF5)
    | $less(sF4,1.0)
    | ~ spl8_10
    | ~ spl8_21 ),
    inference(resolution,[],[f458,f153]) ).

tff(f153,plain,
    ( ! [X6: $real] :
        ( $less(sF4,X6)
        | $less(X6,sF5) )
    | ~ spl8_10 ),
    inference(superposition,[],[f20,f87]) ).

tff(f87,plain,
    ( ( $sum(sF4,1.0) = sF5 )
    | ~ spl8_10 ),
    inference(avatar_component_clause,[],[f86]) ).

tff(f20,plain,
    ! [X0: $real,X1: $real] :
      ( $less(X1,$sum(X0,1.0))
      | $less(X0,X1) ),
    introduced(theory_axiom_152,[]) ).

tff(f458,plain,
    ( ! [X0: $real] :
        ( ~ $less(X0,sF7)
        | $less(X0,1.0) )
    | ~ spl8_21 ),
    inference(resolution,[],[f450,f17]) ).

tff(f450,plain,
    ( $less(sF7,1.0)
    | ~ spl8_21 ),
    inference(avatar_component_clause,[],[f449]) ).

tff(f493,plain,
    ( spl8_28
    | spl8_29
    | ~ spl8_10
    | ~ spl8_16 ),
    inference(avatar_split_clause,[],[f479,f183,f86,f491,f488]) ).

tff(f488,plain,
    ( spl8_28
  <=> $less(sF4,sF6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_28])]) ).

tff(f479,plain,
    ( $less(sF7,sF5)
    | $less(sF4,sF6)
    | ~ spl8_10
    | ~ spl8_16 ),
    inference(resolution,[],[f153,f189]) ).

tff(f486,plain,
    ( ~ spl8_26
    | spl8_27
    | ~ spl8_8 ),
    inference(avatar_split_clause,[],[f155,f77,f484,f481]) ).

tff(f481,plain,
    ( spl8_26
  <=> ( 0.0 = sF2 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_26])]) ).

tff(f484,plain,
    ( spl8_27
  <=> ( 0.0 = sF1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_27])]) ).

tff(f77,plain,
    ( spl8_8
  <=> ( sF2 = $quotient(1.0,sF1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_8])]) ).

tff(f155,plain,
    ( ( 0.0 = sF1 )
    | ( 0.0 != sF2 )
    | ~ spl8_8 ),
    inference(superposition,[],[f28,f78]) ).

tff(f78,plain,
    ( ( sF2 = $quotient(1.0,sF1) )
    | ~ spl8_8 ),
    inference(avatar_component_clause,[],[f77]) ).

tff(f28,plain,
    ! [X1: $real] :
      ( ( 0.0 != $quotient(1.0,X1) )
      | ( 0.0 = X1 ) ),
    introduced(theory_axiom_164,[]) ).

tff(f469,plain,
    ( spl8_24
    | spl8_25
    | spl8_3 ),
    inference(avatar_split_clause,[],[f162,f57,f467,f464]) ).

tff(f464,plain,
    ( spl8_24
  <=> $less(0.0,n) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_24])]) ).

tff(f467,plain,
    ( spl8_25
  <=> ( n = 0.0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_25])]) ).

tff(f162,plain,
    ( ( n = 0.0 )
    | $less(0.0,n)
    | spl8_3 ),
    inference(resolution,[],[f18,f58]) ).

tff(f457,plain,
    ( spl8_21
    | spl8_22
    | spl8_23
    | ~ spl8_5
    | ~ spl8_16 ),
    inference(avatar_split_clause,[],[f443,f183,f65,f455,f452,f449]) ).

tff(f452,plain,
    ( spl8_22
  <=> ( eps = sF7 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_22])]) ).

tff(f455,plain,
    ( spl8_23
  <=> $less(eps,sF6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_23])]) ).

tff(f65,plain,
    ( spl8_5
  <=> $less(eps,1.0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_5])]) ).

tff(f443,plain,
    ( $less(eps,sF6)
    | ( eps = sF7 )
    | $less(sF7,1.0)
    | ~ spl8_5
    | ~ spl8_16 ),
    inference(resolution,[],[f157,f190]) ).

tff(f157,plain,
    ( ! [X3: $real] :
        ( ~ $less(X3,eps)
        | $less(X3,1.0) )
    | ~ spl8_5 ),
    inference(resolution,[],[f17,f66]) ).

tff(f66,plain,
    ( $less(eps,1.0)
    | ~ spl8_5 ),
    inference(avatar_component_clause,[],[f65]) ).

tff(f423,plain,
    ( spl8_20
    | ~ spl8_10 ),
    inference(avatar_split_clause,[],[f419,f86,f421]) ).

tff(f421,plain,
    ( spl8_20
  <=> $less(sF4,sF5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_20])]) ).

tff(f419,plain,
    ( $less(sF4,sF5)
    | ~ spl8_10 ),
    inference(superposition,[],[f148,f87]) ).

tff(f148,plain,
    ! [X0: $real] : $less(X0,$sum(X0,1.0)),
    inference(resolution,[],[f20,f16]) ).

tff(f16,plain,
    ! [X0: $real] : ~ $less(X0,X0),
    introduced(theory_axiom_147,[]) ).

tff(f409,plain,
    ( spl8_19
    | ~ spl8_11 ),
    inference(avatar_split_clause,[],[f137,f90,f397]) ).

tff(f397,plain,
    ( spl8_19
  <=> ( sF6 = $product(n,sF5) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_19])]) ).

tff(f90,plain,
    ( spl8_11
  <=> ( $product(sF5,n) = sF6 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_11])]) ).

tff(f137,plain,
    ( ( sF6 = $product(n,sF5) )
    | ~ spl8_11 ),
    inference(superposition,[],[f91,f22]) ).

tff(f22,plain,
    ! [X0: $real,X1: $real] : ( $product(X0,X1) = $product(X1,X0) ),
    introduced(theory_axiom_140,[]) ).

tff(f91,plain,
    ( ( $product(sF5,n) = sF6 )
    | ~ spl8_11 ),
    inference(avatar_component_clause,[],[f90]) ).

tff(f408,plain,
    ( spl8_18
    | ~ spl8_9 ),
    inference(avatar_split_clause,[],[f136,f81,f393]) ).

tff(f393,plain,
    ( spl8_18
  <=> ( $product(eps,sF2) = sF3 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_18])]) ).

tff(f81,plain,
    ( spl8_9
  <=> ( $product(sF2,eps) = sF3 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_9])]) ).

tff(f136,plain,
    ( ( $product(eps,sF2) = sF3 )
    | ~ spl8_9 ),
    inference(superposition,[],[f82,f22]) ).

tff(f82,plain,
    ( ( $product(sF2,eps) = sF3 )
    | ~ spl8_9 ),
    inference(avatar_component_clause,[],[f81]) ).

tff(f407,plain,
    ( spl8_19
    | ~ spl8_11 ),
    inference(avatar_split_clause,[],[f133,f90,f397]) ).

tff(f133,plain,
    ( ( sF6 = $product(n,sF5) )
    | ~ spl8_11 ),
    inference(superposition,[],[f91,f22]) ).

tff(f406,plain,
    ( spl8_18
    | ~ spl8_9 ),
    inference(avatar_split_clause,[],[f132,f81,f393]) ).

tff(f132,plain,
    ( ( $product(eps,sF2) = sF3 )
    | ~ spl8_9 ),
    inference(superposition,[],[f82,f22]) ).

tff(f405,plain,
    ( spl8_19
    | ~ spl8_11 ),
    inference(avatar_split_clause,[],[f129,f90,f397]) ).

tff(f129,plain,
    ( ( sF6 = $product(n,sF5) )
    | ~ spl8_11 ),
    inference(superposition,[],[f22,f91]) ).

tff(f404,plain,
    ( spl8_18
    | ~ spl8_9 ),
    inference(avatar_split_clause,[],[f128,f81,f393]) ).

tff(f128,plain,
    ( ( $product(eps,sF2) = sF3 )
    | ~ spl8_9 ),
    inference(superposition,[],[f22,f82]) ).

tff(f399,plain,
    ( spl8_19
    | ~ spl8_11 ),
    inference(avatar_split_clause,[],[f125,f90,f397]) ).

tff(f125,plain,
    ( ( sF6 = $product(n,sF5) )
    | ~ spl8_11 ),
    inference(superposition,[],[f22,f91]) ).

tff(f395,plain,
    ( spl8_18
    | ~ spl8_9 ),
    inference(avatar_split_clause,[],[f124,f81,f393]) ).

tff(f124,plain,
    ( ( $product(eps,sF2) = sF3 )
    | ~ spl8_9 ),
    inference(superposition,[],[f22,f82]) ).

tff(f349,plain,
    ( spl8_15
    | ~ spl8_10 ),
    inference(avatar_split_clause,[],[f121,f86,f145]) ).

tff(f145,plain,
    ( spl8_15
  <=> ( $sum(1.0,sF4) = sF5 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_15])]) ).

tff(f121,plain,
    ( ( $sum(1.0,sF4) = sF5 )
    | ~ spl8_10 ),
    inference(superposition,[],[f87,f11]) ).

tff(f11,plain,
    ! [X0: $real,X1: $real] : ( $sum(X1,X0) = $sum(X0,X1) ),
    introduced(theory_axiom_140,[]) ).

tff(f348,plain,
    ( spl8_15
    | ~ spl8_10 ),
    inference(avatar_split_clause,[],[f118,f86,f145]) ).

tff(f118,plain,
    ( ( $sum(1.0,sF4) = sF5 )
    | ~ spl8_10 ),
    inference(superposition,[],[f87,f11]) ).

tff(f347,plain,
    ( spl8_15
    | ~ spl8_10 ),
    inference(avatar_split_clause,[],[f115,f86,f145]) ).

tff(f115,plain,
    ( ( $sum(1.0,sF4) = sF5 )
    | ~ spl8_10 ),
    inference(superposition,[],[f11,f87]) ).

tff(f188,plain,
    ( spl8_16
    | spl8_17
    | spl8_1 ),
    inference(avatar_split_clause,[],[f161,f49,f186,f183]) ).

tff(f186,plain,
    ( spl8_17
  <=> ( sF6 = sF7 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_17])]) ).

tff(f49,plain,
    ( spl8_1
  <=> $less(sF6,sF7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_1])]) ).

tff(f161,plain,
    ( ( sF6 = sF7 )
    | $less(sF7,sF6)
    | spl8_1 ),
    inference(resolution,[],[f18,f50]) ).

tff(f50,plain,
    ( ~ $less(sF6,sF7)
    | spl8_1 ),
    inference(avatar_component_clause,[],[f49]) ).

tff(f147,plain,
    ( spl8_15
    | ~ spl8_10 ),
    inference(avatar_split_clause,[],[f112,f86,f145]) ).

tff(f112,plain,
    ( ( $sum(1.0,sF4) = sF5 )
    | ~ spl8_10 ),
    inference(superposition,[],[f11,f87]) ).

tff(f106,plain,
    ( spl8_14
    | ~ spl8_12 ),
    inference(avatar_split_clause,[],[f102,f94,f104]) ).

tff(f94,plain,
    ( spl8_12
  <=> ( $product(k,x) = sF7 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_12])]) ).

tff(f102,plain,
    ( $less(n,$product(0.5,sF7))
    | ~ spl8_12 ),
    inference(forward_demodulation,[],[f47,f95]) ).

tff(f95,plain,
    ( ( $product(k,x) = sF7 )
    | ~ spl8_12 ),
    inference(avatar_component_clause,[],[f94]) ).

tff(f47,plain,
    $less(n,$product(0.5,$product(k,x))),
    inference(evaluation,[],[f31]) ).

tff(f31,plain,
    $less(n,$product($quotient(1.0,2.0),$product(k,x))),
    inference(cnf_transformation,[],[f2]) ).

tff(f2,axiom,
    $less(n,$product($quotient(1.0,2.0),$product(k,x))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hypothesis_01) ).

tff(f100,plain,
    ( spl8_13
    | ~ spl8_6 ),
    inference(avatar_split_clause,[],[f84,f69,f98]) ).

tff(f98,plain,
    ( spl8_13
  <=> ( sF4 = $product(0.333333,sF3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_13])]) ).

tff(f69,plain,
    ( spl8_6
  <=> ( sF0 = 0.333333 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_6])]) ).

tff(f84,plain,
    ( ( sF4 = $product(0.333333,sF3) )
    | ~ spl8_6 ),
    inference(forward_demodulation,[],[f41,f70]) ).

tff(f70,plain,
    ( ( sF0 = 0.333333 )
    | ~ spl8_6 ),
    inference(avatar_component_clause,[],[f69]) ).

tff(f41,plain,
    sF4 = $product(sF0,sF3),
    introduced(function_definition,[]) ).

tff(f96,plain,
    spl8_12,
    inference(avatar_split_clause,[],[f44,f94]) ).

tff(f44,plain,
    $product(k,x) = sF7,
    introduced(function_definition,[]) ).

tff(f92,plain,
    spl8_11,
    inference(avatar_split_clause,[],[f43,f90]) ).

tff(f43,plain,
    $product(sF5,n) = sF6,
    introduced(function_definition,[]) ).

tff(f88,plain,
    spl8_10,
    inference(avatar_split_clause,[],[f42,f86]) ).

tff(f42,plain,
    $sum(sF4,1.0) = sF5,
    introduced(function_definition,[]) ).

tff(f83,plain,
    spl8_9,
    inference(avatar_split_clause,[],[f40,f81]) ).

tff(f40,plain,
    $product(sF2,eps) = sF3,
    introduced(function_definition,[]) ).

tff(f79,plain,
    spl8_8,
    inference(avatar_split_clause,[],[f39,f77]) ).

tff(f39,plain,
    sF2 = $quotient(1.0,sF1),
    introduced(function_definition,[]) ).

tff(f75,plain,
    spl8_7,
    inference(avatar_split_clause,[],[f38,f73]) ).

tff(f73,plain,
    ( spl8_7
  <=> ( $sum(3.0,c) = sF1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_7])]) ).

tff(f38,plain,
    $sum(3.0,c) = sF1,
    introduced(function_definition,[]) ).

tff(f71,plain,
    spl8_6,
    inference(avatar_split_clause,[],[f46,f69]) ).

tff(f46,plain,
    sF0 = 0.333333,
    inference(evaluation,[],[f37]) ).

tff(f37,plain,
    $quotient(1.0,3.0) = sF0,
    introduced(function_definition,[]) ).

tff(f67,plain,
    spl8_5,
    inference(avatar_split_clause,[],[f36,f65]) ).

tff(f36,plain,
    $less(eps,1.0),
    inference(cnf_transformation,[],[f5]) ).

tff(f5,axiom,
    $less(eps,1.0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hypothesis_04) ).

tff(f63,plain,
    spl8_4,
    inference(avatar_split_clause,[],[f34,f61]) ).

tff(f34,plain,
    $less(0.0,c),
    inference(cnf_transformation,[],[f8]) ).

tff(f8,plain,
    $less(0.0,c),
    inference(theory_normalization,[],[f3]) ).

tff(f3,axiom,
    $greater(c,0.0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hypothesis_02) ).

tff(f59,plain,
    ~ spl8_3,
    inference(avatar_split_clause,[],[f33,f57]) ).

tff(f33,plain,
    ~ $less(n,0.0),
    inference(cnf_transformation,[],[f9]) ).

tff(f9,plain,
    ~ $less(n,0.0),
    inference(theory_normalization,[],[f1]) ).

tff(f1,axiom,
    $greatereq(n,0.0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hypothesis) ).

tff(f55,plain,
    spl8_2,
    inference(avatar_split_clause,[],[f32,f53]) ).

tff(f32,plain,
    $less(0.0,eps),
    inference(cnf_transformation,[],[f10]) ).

tff(f10,plain,
    $less(0.0,eps),
    inference(theory_normalization,[],[f4]) ).

tff(f4,axiom,
    $greater(eps,0.0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hypothesis_03) ).

tff(f51,plain,
    ~ spl8_1,
    inference(avatar_split_clause,[],[f45,f49]) ).

tff(f45,plain,
    ~ $less(sF6,sF7),
    inference(definition_folding,[],[f35,f44,f43,f42,f41,f40,f39,f38,f37]) ).

tff(f35,plain,
    ~ $less($product($sum($product($quotient(1.0,3.0),$product($quotient(1.0,$sum(3.0,c)),eps)),1.0),n),$product(k,x)),
    inference(cnf_transformation,[],[f30]) ).

tff(f30,plain,
    ~ $less($product($sum($product($quotient(1.0,3.0),$product($quotient(1.0,$sum(3.0,c)),eps)),1.0),n),$product(k,x)),
    inference(flattening,[],[f7]) ).

tff(f7,negated_conjecture,
    ~ $less($product($sum($product($quotient(1.0,3.0),$product($quotient(1.0,$sum(3.0,c)),eps)),1.0),n),$product(k,x)),
    inference(negated_conjecture,[],[f6]) ).

tff(f6,conjecture,
    $less($product($sum($product($quotient(1.0,3.0),$product($quotient(1.0,$sum(3.0,c)),eps)),1.0),n),$product(k,x)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conclusion) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem    : ARI639=1 : TPTP v8.1.0. Released v6.3.0.
% 0.13/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34  % Computer : n002.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Mon Aug 29 16:04:58 EDT 2022
% 0.19/0.35  % CPUTime    : 
% 0.19/0.56  % (8739)lrs+10_1:1_canc=force:tha=some:to=lpo:i=35:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/35Mi)
% 0.19/0.56  % (8731)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)
% 0.19/0.57  % (8751)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)
% 0.19/0.58  % (8732)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)
% 0.19/0.58  % (8731)Instruction limit reached!
% 0.19/0.58  % (8731)------------------------------
% 0.19/0.58  % (8731)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.58  % (8731)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.58  % (8731)Termination reason: Unknown
% 0.19/0.58  % (8731)Termination phase: Saturation
% 0.19/0.58  
% 0.19/0.58  % (8731)Memory used [KB]: 5500
% 0.19/0.58  % (8731)Time elapsed: 0.157 s
% 0.19/0.58  % (8731)Instructions burned: 9 (million)
% 0.19/0.58  % (8731)------------------------------
% 0.19/0.58  % (8731)------------------------------
% 0.19/0.58  % (8732)Instruction limit reached!
% 0.19/0.58  % (8732)------------------------------
% 0.19/0.58  % (8732)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.58  % (8732)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.58  % (8732)Termination reason: Unknown
% 0.19/0.58  % (8732)Termination phase: Saturation
% 0.19/0.58  
% 0.19/0.58  % (8732)Memory used [KB]: 895
% 0.19/0.58  % (8732)Time elapsed: 0.004 s
% 0.19/0.58  % (8732)Instructions burned: 2 (million)
% 0.19/0.58  % (8732)------------------------------
% 0.19/0.58  % (8732)------------------------------
% 0.19/0.58  % (8730)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)
% 1.65/0.59  % (8748)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)
% 1.65/0.59  % (8748)Instruction limit reached!
% 1.65/0.59  % (8748)------------------------------
% 1.65/0.59  % (8748)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.65/0.59  % (8748)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.65/0.59  % (8748)Termination reason: Unknown
% 1.65/0.59  % (8748)Termination phase: Saturation
% 1.65/0.59  
% 1.65/0.59  % (8748)Memory used [KB]: 5373
% 1.65/0.59  % (8748)Time elapsed: 0.164 s
% 1.65/0.59  % (8748)Instructions burned: 2 (million)
% 1.65/0.59  % (8748)------------------------------
% 1.65/0.59  % (8748)------------------------------
% 1.65/0.59  % (8743)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)
% 1.65/0.59  % (8741)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)
% 1.65/0.59  % (8741)Instruction limit reached!
% 1.65/0.59  % (8741)------------------------------
% 1.65/0.59  % (8741)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.65/0.59  % (8741)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.65/0.59  % (8741)Termination reason: Unknown
% 1.65/0.59  % (8741)Termination phase: Equality proxy
% 1.65/0.59  
% 1.65/0.59  % (8741)Memory used [KB]: 895
% 1.65/0.59  % (8741)Time elapsed: 0.003 s
% 1.65/0.59  % (8741)Instructions burned: 2 (million)
% 1.65/0.59  % (8741)------------------------------
% 1.65/0.59  % (8741)------------------------------
% 1.65/0.59  % (8740)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)
% 1.65/0.59  % (8740)Instruction limit reached!
% 1.65/0.59  % (8740)------------------------------
% 1.65/0.59  % (8740)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.65/0.59  % (8740)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.65/0.59  % (8740)Termination reason: Unknown
% 1.65/0.59  % (8740)Termination phase: Saturation
% 1.65/0.59  
% 1.65/0.59  % (8740)Memory used [KB]: 5500
% 1.65/0.59  % (8740)Time elapsed: 0.166 s
% 1.65/0.59  % (8740)Instructions burned: 4 (million)
% 1.65/0.59  % (8740)------------------------------
% 1.65/0.59  % (8740)------------------------------
% 1.65/0.60  % (8735)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)
% 1.97/0.61  % (8739)Instruction limit reached!
% 1.97/0.61  % (8739)------------------------------
% 1.97/0.61  % (8739)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.97/0.61  % (8739)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.97/0.61  % (8739)Termination reason: Unknown
% 1.97/0.61  % (8739)Termination phase: Saturation
% 1.97/0.61  
% 1.97/0.61  % (8739)Memory used [KB]: 5628
% 1.97/0.61  % (8739)Time elapsed: 0.167 s
% 1.97/0.61  % (8739)Instructions burned: 35 (million)
% 1.97/0.61  % (8739)------------------------------
% 1.97/0.61  % (8739)------------------------------
% 1.97/0.61  % (8729)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)
% 1.97/0.61  % (8758)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)
% 1.97/0.61  % (8733)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)
% 1.97/0.61  % (8744)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)
% 1.97/0.61  % (8744)Instruction limit reached!
% 1.97/0.61  % (8744)------------------------------
% 1.97/0.61  % (8744)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.97/0.61  % (8744)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.97/0.61  % (8744)Termination reason: Unknown
% 1.97/0.61  % (8744)Termination phase: SInE selection
% 1.97/0.61  
% 1.97/0.61  % (8744)Memory used [KB]: 895
% 1.97/0.61  % (8744)Time elapsed: 0.003 s
% 1.97/0.61  % (8744)Instructions burned: 2 (million)
% 1.97/0.61  % (8744)------------------------------
% 1.97/0.61  % (8744)------------------------------
% 1.97/0.62  % (8755)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 1.97/0.62  % (8752)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)
% 1.97/0.62  % (8754)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)
% 1.97/0.62  % (8750)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)
% 1.97/0.62  % (8753)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)
% 1.97/0.62  % (8746)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)
% 1.97/0.62  % (8737)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)
% 1.97/0.63  % (8756)dis+10_1:64_nwc=1.4:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 1.97/0.63  % (8757)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)
% 1.97/0.63  % (8734)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)
% 1.97/0.63  % (8745)lrs+10_1:1_ev=force:gve=cautious:tha=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.97/0.63  % (8738)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)
% 1.97/0.63  % (8736)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)
% 1.97/0.63  % (8747)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)
% 1.97/0.63  % (8738)Instruction limit reached!
% 1.97/0.63  % (8738)------------------------------
% 1.97/0.63  % (8738)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.97/0.63  % (8738)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.97/0.63  % (8738)Termination reason: Unknown
% 1.97/0.63  % (8738)Termination phase: Saturation
% 1.97/0.63  
% 1.97/0.63  % (8738)Memory used [KB]: 5500
% 1.97/0.63  % (8738)Time elapsed: 0.003 s
% 1.97/0.63  % (8738)Instructions burned: 2 (million)
% 1.97/0.63  % (8738)------------------------------
% 1.97/0.63  % (8738)------------------------------
% 1.97/0.63  % (8742)dis+10_1:64_nwc=1.4:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 1.97/0.63  % (8750)Refutation not found, incomplete strategy% (8750)------------------------------
% 1.97/0.63  % (8750)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.97/0.63  % (8742)Refutation not found, incomplete strategy% (8742)------------------------------
% 1.97/0.63  % (8742)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.97/0.63  % (8750)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.97/0.63  % (8750)Termination reason: Refutation not found, incomplete strategy
% 1.97/0.63  
% 1.97/0.63  % (8750)Memory used [KB]: 5373
% 1.97/0.63  % (8750)Time elapsed: 0.206 s
% 1.97/0.63  % (8750)Instructions burned: 2 (million)
% 1.97/0.63  % (8750)------------------------------
% 1.97/0.63  % (8750)------------------------------
% 1.97/0.63  % (8742)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.97/0.63  % (8742)Termination reason: Refutation not found, incomplete strategy
% 1.97/0.63  
% 1.97/0.63  % (8742)Memory used [KB]: 5373
% 1.97/0.63  % (8742)Time elapsed: 0.209 s
% 1.97/0.63  % (8742)Instructions burned: 2 (million)
% 1.97/0.63  % (8742)------------------------------
% 1.97/0.63  % (8742)------------------------------
% 1.97/0.64  % (8756)Refutation not found, incomplete strategy% (8756)------------------------------
% 1.97/0.64  % (8756)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.97/0.64  % (8749)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)
% 1.97/0.64  % (8747)Refutation not found, incomplete strategy% (8747)------------------------------
% 1.97/0.64  % (8747)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.97/0.64  % (8756)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.97/0.64  % (8756)Termination reason: Refutation not found, incomplete strategy
% 1.97/0.64  
% 1.97/0.64  % (8756)Memory used [KB]: 5373
% 1.97/0.64  % (8756)Time elapsed: 0.217 s
% 1.97/0.64  % (8756)Instructions burned: 1 (million)
% 1.97/0.64  % (8756)------------------------------
% 1.97/0.64  % (8756)------------------------------
% 1.97/0.65  % (8745)Refutation not found, incomplete strategy% (8745)------------------------------
% 1.97/0.65  % (8745)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.97/0.65  % (8745)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.97/0.65  % (8745)Termination reason: Refutation not found, incomplete strategy
% 1.97/0.65  
% 1.97/0.65  % (8745)Memory used [KB]: 5373
% 1.97/0.65  % (8745)Time elapsed: 0.224 s
% 1.97/0.65  % (8745)Instructions burned: 1 (million)
% 1.97/0.65  % (8745)------------------------------
% 1.97/0.65  % (8745)------------------------------
% 1.97/0.65  % (8747)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.97/0.65  % (8747)Termination reason: Refutation not found, incomplete strategy
% 1.97/0.65  
% 1.97/0.65  % (8747)Memory used [KB]: 5373
% 1.97/0.65  % (8747)Time elapsed: 0.217 s
% 1.97/0.65  % (8747)Instructions burned: 1 (million)
% 1.97/0.65  % (8747)------------------------------
% 1.97/0.65  % (8747)------------------------------
% 2.33/0.66  % (8734)Instruction limit reached!
% 2.33/0.66  % (8734)------------------------------
% 2.33/0.66  % (8734)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.33/0.67  % (8751)Instruction limit reached!
% 2.33/0.67  % (8751)------------------------------
% 2.33/0.67  % (8751)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.33/0.67  % (8734)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.33/0.67  % (8734)Termination reason: Unknown
% 2.33/0.67  % (8734)Termination phase: Saturation
% 2.33/0.67  
% 2.33/0.67  % (8734)Memory used [KB]: 5628
% 2.33/0.67  % (8734)Time elapsed: 0.236 s
% 2.33/0.67  % (8734)Instructions burned: 15 (million)
% 2.33/0.67  % (8734)------------------------------
% 2.33/0.67  % (8734)------------------------------
% 2.33/0.68  % (8751)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.33/0.68  % (8751)Termination reason: Unknown
% 2.33/0.68  % (8751)Termination phase: Saturation
% 2.33/0.68  
% 2.33/0.68  % (8751)Memory used [KB]: 1279
% 2.33/0.68  % (8751)Time elapsed: 0.246 s
% 2.33/0.68  % (8751)Instructions burned: 46 (million)
% 2.33/0.68  % (8751)------------------------------
% 2.33/0.68  % (8751)------------------------------
% 2.33/0.68  % (8749)Instruction limit reached!
% 2.33/0.68  % (8749)------------------------------
% 2.33/0.68  % (8749)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.33/0.68  % (8749)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.33/0.68  % (8749)Termination reason: Unknown
% 2.33/0.68  % (8749)Termination phase: Saturation
% 2.33/0.68  
% 2.33/0.68  % (8749)Memory used [KB]: 1151
% 2.33/0.68  % (8749)Time elapsed: 0.258 s
% 2.33/0.68  % (8749)Instructions burned: 15 (million)
% 2.33/0.68  % (8749)------------------------------
% 2.33/0.68  % (8749)------------------------------
% 2.33/0.68  % (8730)Instruction limit reached!
% 2.33/0.68  % (8730)------------------------------
% 2.33/0.68  % (8730)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.33/0.68  % (8730)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.33/0.68  % (8730)Termination reason: Unknown
% 2.33/0.68  % (8730)Termination phase: Saturation
% 2.33/0.68  
% 2.33/0.68  % (8730)Memory used [KB]: 5756
% 2.33/0.68  % (8730)Time elapsed: 0.255 s
% 2.33/0.68  % (8730)Instructions burned: 34 (million)
% 2.33/0.68  % (8730)------------------------------
% 2.33/0.68  % (8730)------------------------------
% 2.33/0.68  % (8743)Instruction limit reached!
% 2.33/0.68  % (8743)------------------------------
% 2.33/0.68  % (8743)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.33/0.68  % (8743)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.33/0.68  % (8743)Termination reason: Unknown
% 2.33/0.68  % (8743)Termination phase: Saturation
% 2.33/0.68  
% 2.33/0.68  % (8743)Memory used [KB]: 6396
% 2.33/0.68  % (8743)Time elapsed: 0.247 s
% 2.33/0.68  % (8743)Instructions burned: 50 (million)
% 2.33/0.68  % (8743)------------------------------
% 2.33/0.68  % (8743)------------------------------
% 2.33/0.69  % (8737)Instruction limit reached!
% 2.33/0.69  % (8737)------------------------------
% 2.33/0.69  % (8737)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.33/0.69  % (8737)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.33/0.69  % (8737)Termination reason: Unknown
% 2.33/0.69  % (8737)Termination phase: Saturation
% 2.33/0.69  
% 2.33/0.69  % (8737)Memory used [KB]: 5756
% 2.33/0.69  % (8737)Time elapsed: 0.261 s
% 2.33/0.69  % (8737)Instructions burned: 26 (million)
% 2.33/0.69  % (8737)------------------------------
% 2.33/0.69  % (8737)------------------------------
% 2.33/0.69  % (8735)Instruction limit reached!
% 2.33/0.69  % (8735)------------------------------
% 2.33/0.69  % (8735)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.33/0.69  % (8735)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.33/0.69  % (8735)Termination reason: Unknown
% 2.33/0.69  % (8735)Termination phase: Saturation
% 2.33/0.69  
% 2.33/0.69  % (8735)Memory used [KB]: 5884
% 2.33/0.69  % (8735)Time elapsed: 0.248 s
% 2.33/0.69  % (8735)Instructions burned: 32 (million)
% 2.33/0.69  % (8735)------------------------------
% 2.33/0.69  % (8735)------------------------------
% 2.33/0.69  % (8757)Instruction limit reached!
% 2.33/0.69  % (8757)------------------------------
% 2.33/0.69  % (8757)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.33/0.69  % (8757)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.33/0.69  % (8757)Termination reason: Unknown
% 2.33/0.69  % (8757)Termination phase: Saturation
% 2.33/0.69  
% 2.33/0.69  % (8757)Memory used [KB]: 5756
% 2.33/0.69  % (8757)Time elapsed: 0.238 s
% 2.33/0.69  % (8757)Instructions burned: 21 (million)
% 2.33/0.69  % (8757)------------------------------
% 2.33/0.69  % (8757)------------------------------
% 2.33/0.71  % (8755)Instruction limit reached!
% 2.33/0.71  % (8755)------------------------------
% 2.33/0.71  % (8755)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.33/0.71  % (8755)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.33/0.71  % (8755)Termination reason: Unknown
% 2.33/0.71  % (8755)Termination phase: Saturation
% 2.33/0.71  
% 2.33/0.71  % (8755)Memory used [KB]: 5884
% 2.33/0.71  % (8755)Time elapsed: 0.288 s
% 2.33/0.71  % (8755)Instructions burned: 43 (million)
% 2.33/0.71  % (8755)------------------------------
% 2.33/0.71  % (8755)------------------------------
% 2.33/0.71  % (8733)Instruction limit reached!
% 2.33/0.71  % (8733)------------------------------
% 2.33/0.71  % (8733)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.33/0.71  % (8733)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.33/0.71  % (8733)Termination reason: Unknown
% 2.33/0.71  % (8733)Termination phase: Saturation
% 2.33/0.71  
% 2.33/0.71  % (8733)Memory used [KB]: 6012
% 2.33/0.71  % (8733)Time elapsed: 0.285 s
% 2.33/0.71  % (8733)Instructions burned: 37 (million)
% 2.33/0.71  % (8733)------------------------------
% 2.33/0.71  % (8733)------------------------------
% 2.33/0.72  % (8794)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)
% 2.33/0.73  % (8736)Instruction limit reached!
% 2.33/0.73  % (8736)------------------------------
% 2.33/0.73  % (8736)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.33/0.73  % (8736)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.33/0.73  % (8736)Termination reason: Unknown
% 2.33/0.73  % (8736)Termination phase: Saturation
% 2.33/0.73  
% 2.33/0.73  % (8736)Memory used [KB]: 5756
% 2.33/0.73  % (8736)Time elapsed: 0.259 s
% 2.33/0.73  % (8736)Instructions burned: 36 (million)
% 2.33/0.73  % (8736)------------------------------
% 2.33/0.73  % (8736)------------------------------
% 2.33/0.74  % (8754)Instruction limit reached!
% 2.33/0.74  % (8754)------------------------------
% 2.33/0.74  % (8754)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.33/0.74  % (8754)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.33/0.74  % (8754)Termination reason: Unknown
% 2.33/0.74  % (8754)Termination phase: Saturation
% 2.33/0.74  
% 2.33/0.74  % (8754)Memory used [KB]: 5884
% 2.33/0.74  % (8754)Time elapsed: 0.293 s
% 2.33/0.74  % (8754)Instructions burned: 42 (million)
% 2.33/0.74  % (8754)------------------------------
% 2.33/0.74  % (8754)------------------------------
% 2.33/0.74  % (8758)Instruction limit reached!
% 2.33/0.74  % (8758)------------------------------
% 2.33/0.74  % (8758)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.33/0.74  % (8758)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.33/0.74  % (8758)Termination reason: Unknown
% 2.33/0.74  % (8758)Termination phase: Saturation
% 2.33/0.74  
% 2.33/0.74  % (8758)Memory used [KB]: 6268
% 2.33/0.74  % (8758)Time elapsed: 0.278 s
% 2.33/0.74  % (8758)Instructions burned: 41 (million)
% 2.33/0.74  % (8758)------------------------------
% 2.33/0.74  % (8758)------------------------------
% 2.33/0.74  % (8752)Instruction limit reached!
% 2.33/0.74  % (8752)------------------------------
% 2.33/0.74  % (8752)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.33/0.74  % (8752)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.33/0.74  % (8752)Termination reason: Unknown
% 2.33/0.74  % (8752)Termination phase: Saturation
% 2.33/0.74  
% 2.33/0.74  % (8752)Memory used [KB]: 5884
% 2.33/0.74  % (8752)Time elapsed: 0.270 s
% 2.33/0.74  % (8752)Instructions burned: 50 (million)
% 2.33/0.74  % (8752)------------------------------
% 2.33/0.74  % (8752)------------------------------
% 2.33/0.74  % (8753)Instruction limit reached!
% 2.33/0.74  % (8753)------------------------------
% 2.33/0.74  % (8753)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.33/0.74  % (8753)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.33/0.74  % (8753)Termination reason: Unknown
% 2.33/0.74  % (8753)Termination phase: Saturation
% 2.33/0.74  
% 2.33/0.74  % (8753)Memory used [KB]: 1663
% 2.33/0.74  % (8753)Time elapsed: 0.308 s
% 2.33/0.74  % (8753)Instructions burned: 48 (million)
% 2.33/0.74  % (8753)------------------------------
% 2.33/0.74  % (8753)------------------------------
% 2.70/0.75  % (8746)Instruction limit reached!
% 2.70/0.75  % (8746)------------------------------
% 2.70/0.75  % (8746)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.70/0.75  % (8746)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.70/0.75  % (8746)Termination reason: Unknown
% 2.70/0.75  % (8746)Termination phase: Saturation
% 2.70/0.75  
% 2.70/0.75  % (8746)Memory used [KB]: 6012
% 2.70/0.75  % (8746)Time elapsed: 0.284 s
% 2.70/0.75  % (8746)Instructions burned: 50 (million)
% 2.70/0.75  % (8746)------------------------------
% 2.70/0.75  % (8746)------------------------------
% 2.74/0.80  % (8791)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)
% 2.74/0.80  % (8791)Refutation not found, incomplete strategy% (8791)------------------------------
% 2.74/0.80  % (8791)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.74/0.80  % (8791)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.74/0.80  % (8791)Termination reason: Refutation not found, incomplete strategy
% 2.74/0.80  
% 2.74/0.80  % (8791)Memory used [KB]: 5373
% 2.74/0.80  % (8791)Time elapsed: 0.122 s
% 2.74/0.80  % (8791)Instructions burned: 1 (million)
% 2.74/0.80  % (8791)------------------------------
% 2.74/0.80  % (8791)------------------------------
% 2.74/0.80  % (8793)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)
% 2.74/0.80  % (8793)Refutation not found, incomplete strategy% (8793)------------------------------
% 2.74/0.80  % (8793)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.74/0.80  % (8793)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.74/0.80  % (8793)Termination reason: Refutation not found, incomplete strategy
% 2.74/0.80  
% 2.74/0.80  % (8793)Memory used [KB]: 5373
% 2.74/0.80  % (8793)Time elapsed: 0.123 s
% 2.74/0.80  % (8793)Instructions burned: 2 (million)
% 2.74/0.80  % (8793)------------------------------
% 2.74/0.80  % (8793)------------------------------
% 2.74/0.82  % (8794)Instruction limit reached!
% 2.74/0.82  % (8794)------------------------------
% 2.74/0.82  % (8794)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.74/0.82  % (8794)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.74/0.82  % (8794)Termination reason: Unknown
% 2.74/0.82  % (8794)Termination phase: Saturation
% 2.74/0.82  
% 2.74/0.82  % (8794)Memory used [KB]: 6140
% 2.74/0.82  % (8794)Time elapsed: 0.171 s
% 2.74/0.82  % (8794)Instructions burned: 148 (million)
% 2.74/0.82  % (8794)------------------------------
% 2.74/0.82  % (8794)------------------------------
% 2.74/0.83  % (8795)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)
% 3.03/0.84  % (8792)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)
% 3.03/0.84  % (8797)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)
% 3.03/0.84  % (8796)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)
% 3.03/0.86  % (8802)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)
% 3.03/0.87  % (8800)lrs+10_1:1_thi=all:thigen=on:i=96:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/96Mi)
% 3.03/0.87  % (8803)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)
% 3.03/0.87  % (8804)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 (2997ds/494Mi)
% 3.03/0.88  % (8835)lrs+10_1:1_av=off:fde=none:lwlo=on:nwc=10.0:i=256:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/256Mi)
% 3.03/0.89  % (8806)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)
% 3.03/0.89  % (8806)Refutation not found, incomplete strategy% (8806)------------------------------
% 3.03/0.89  % (8806)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.03/0.89  % (8806)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.03/0.89  % (8806)Termination reason: Refutation not found, incomplete strategy
% 3.03/0.89  
% 3.03/0.89  % (8806)Memory used [KB]: 895
% 3.03/0.89  % (8806)Time elapsed: 0.184 s
% 3.03/0.89  % (8806)Instructions burned: 1 (million)
% 3.03/0.89  % (8806)------------------------------
% 3.03/0.89  % (8806)------------------------------
% 3.03/0.90  % (8805)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)
% 3.11/0.91  % (8810)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)
% 3.11/0.91  % (8812)dis+10_1:1_aac=none:abs=on:bce=on:bd=off:bsr=unit_only:drc=off:fd=preordered:fsd=on:gve=cautious:lcm=reverse:nm=16:plsq=on:plsqc=1:plsqr=232,15:sfv=off:slsq=on:slsql=off:slsqr=3,2:sos=on:sp=weighted_frequency:i=81:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/81Mi)
% 3.11/0.92  % (8808)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 (2996ds/150Mi)
% 3.11/0.92  % (8729)First to succeed.
% 3.11/0.93  % (8729)Refutation found. Thanks to Tanya!
% 3.11/0.93  % SZS status Theorem for theBenchmark
% 3.11/0.93  % SZS output start Proof for theBenchmark
% See solution above
% 3.11/0.93  % (8729)------------------------------
% 3.11/0.93  % (8729)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.11/0.93  % (8729)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.11/0.93  % (8729)Termination reason: Refutation
% 3.11/0.93  
% 3.11/0.93  % (8729)Memory used [KB]: 1407
% 3.11/0.93  % (8729)Time elapsed: 0.391 s
% 3.11/0.93  % (8729)Instructions burned: 139 (million)
% 3.11/0.93  % (8729)------------------------------
% 3.11/0.93  % (8729)------------------------------
% 3.11/0.93  % (8728)Success in time 0.557 s
%------------------------------------------------------------------------------