TSTP Solution File: ARI640_1 by Vampire---4.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.9
% Problem  : ARI640_1 : TPTP v8.2.0. Released v6.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire %s %d THM

% Computer : n019.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Mon Jun 24 04:32:13 EDT 2024

% Result   : Theorem 1.86s 0.62s
% Output   : Refutation 1.86s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   45
% Syntax   : Number of formulae    :  182 (  53 unt;   2 typ;   0 def)
%            Number of atoms       :  411 (  39 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  388 ( 157   ~; 205   |;   0   &)
%                                         (  26 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    6 (   1 avg)
%            Number arithmetic     :  670 ( 187 atm; 175 fun; 199 num; 109 var)
%            Number of types       :    1 (   0 usr;   1 ari)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   30 (  26 usr;  27 prp; 0-2 aty)
%            Number of functors    :   14 (   2 usr;  11 con; 0-2 aty)
%            Number of variables   :  109 ( 109   !;   0   ?; 109   :)

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

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

tff(f6088,plain,
    $false,
    inference(avatar_smt_refutation,[],[f35,f39,f43,f48,f228,f232,f303,f387,f561,f1387,f1391,f1504,f1884,f1989,f2091,f2716,f2795,f2809,f3478,f3757,f4482,f5641,f5694,f5976,f6064]) ).

tff(f6064,plain,
    ( ~ spl0_3
    | ~ spl0_23 ),
    inference(avatar_contradiction_clause,[],[f6063]) ).

tff(f6063,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_23 ),
    inference(evaluation,[],[f6008]) ).

tff(f6008,plain,
    ( $less(0.0,0.0)
    | ~ spl0_3
    | ~ spl0_23 ),
    inference(backward_demodulation,[],[f42,f5640]) ).

tff(f5640,plain,
    ( ( x = 0.0 )
    | ~ spl0_23 ),
    inference(avatar_component_clause,[],[f5639]) ).

tff(f5639,plain,
    ( spl0_23
  <=> ( x = 0.0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

tff(f42,plain,
    ( $less(0.0,x)
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f41]) ).

tff(f41,plain,
    ( spl0_3
  <=> $less(0.0,x) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

tff(f5976,plain,
    ( spl0_25
    | spl0_26
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f3505,f41,f37,f33,f5974,f5971]) ).

tff(f5971,plain,
    ( spl0_25
  <=> $less(1.0,x) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

tff(f5974,plain,
    ( spl0_26
  <=> ! [X0: $real] :
        ( ( 0.0 = $uminus(X0) )
        | $less($uminus(X0),2.0)
        | $less(X0,1.0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

tff(f33,plain,
    ( spl0_1
  <=> $less(y,1.0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

tff(f37,plain,
    ( spl0_2
  <=> $less(0.0,y) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

tff(f3505,plain,
    ( ! [X0: $real] :
        ( ( 0.0 = $uminus(X0) )
        | $less(X0,1.0)
        | $less(1.0,x)
        | $less($uminus(X0),2.0) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(resolution,[],[f3494,f1745]) ).

tff(f1745,plain,
    ! [X0: $real] :
      ( $less(1.0,X0)
      | $less(X0,2.0) ),
    inference(evaluation,[],[f1709]) ).

tff(f1709,plain,
    ! [X0: $real] :
      ( $less(X0,$product(1.0,2.0))
      | $less(1.0,X0) ),
    inference(superposition,[],[f19,f957]) ).

tff(f957,plain,
    ! [X0: $real] : ( $sum(X0,X0) = $product(X0,2.0) ),
    inference(evaluation,[],[f926]) ).

tff(f926,plain,
    ! [X0: $real] : ( $product(X0,$sum(1.0,1.0)) = $sum(X0,X0) ),
    inference(superposition,[],[f173,f23]) ).

tff(f23,plain,
    ! [X0: $real] : ( $product(X0,1.0) = X0 ),
    introduced(theory_axiom_145,[]) ).

tff(f173,plain,
    ! [X0: $real,X1: $real] : ( $product(X0,$sum(1.0,X1)) = $sum(X0,$product(X0,X1)) ),
    inference(superposition,[],[f25,f23]) ).

tff(f25,plain,
    ! [X2: $real,X0: $real,X1: $real] : ( $product(X0,$sum(X1,X2)) = $sum($product(X0,X1),$product(X0,X2)) ),
    introduced(theory_axiom_158,[]) ).

tff(f19,plain,
    ! [X0: $real,X1: $real] :
      ( $less(X1,$sum(X0,1.0))
      | $less(X0,X1) ),
    introduced(theory_axiom_155,[]) ).

tff(f3494,plain,
    ( ! [X0: $real,X1: $real] :
        ( ~ $less(X1,$uminus(X0))
        | ( 0.0 = $uminus(X0) )
        | $less(X1,x)
        | $less(X0,1.0) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(resolution,[],[f3480,f16]) ).

tff(f16,plain,
    ! [X2: $real,X0: $real,X1: $real] :
      ( ~ $less(X1,X2)
      | ~ $less(X0,X1)
      | $less(X0,X2) ),
    introduced(theory_axiom_151,[]) ).

tff(f3480,plain,
    ( ! [X0: $real] :
        ( $less($uminus(X0),x)
        | ( 0.0 = $uminus(X0) )
        | $less(X0,1.0) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(resolution,[],[f3321,f172]) ).

tff(f172,plain,
    ( ! [X0: $real] :
        ( $less(0.0,X0)
        | $less(X0,x)
        | ( 0.0 = X0 ) )
    | ~ spl0_3 ),
    inference(resolution,[],[f80,f17]) ).

tff(f17,plain,
    ! [X0: $real,X1: $real] :
      ( $less(X1,X0)
      | ( X0 = X1 )
      | $less(X0,X1) ),
    introduced(theory_axiom_152,[]) ).

tff(f80,plain,
    ( ! [X0: $real] :
        ( ~ $less(X0,0.0)
        | $less(X0,x) )
    | ~ spl0_3 ),
    inference(resolution,[],[f16,f42]) ).

tff(f3321,plain,
    ( ! [X0: $real] :
        ( ~ $less(0.0,$uminus(X0))
        | $less(X0,1.0) )
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f2836,f20]) ).

tff(f20,plain,
    ! [X0: $real] : ( $uminus($uminus(X0)) = X0 ),
    introduced(theory_axiom_156,[]) ).

tff(f2836,plain,
    ( ! [X0: $real] :
        ( $less($uminus(X0),1.0)
        | ~ $less(0.0,X0) )
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(resolution,[],[f2786,f78]) ).

tff(f78,plain,
    ( ! [X0: $real] :
        ( ~ $less(X0,y)
        | $less(X0,1.0) )
    | ~ spl0_1 ),
    inference(resolution,[],[f16,f34]) ).

tff(f34,plain,
    ( $less(y,1.0)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f33]) ).

tff(f2786,plain,
    ( ! [X0: $real] :
        ( $less($uminus(X0),y)
        | ~ $less(0.0,X0) )
    | ~ spl0_2 ),
    inference(resolution,[],[f2697,f79]) ).

tff(f79,plain,
    ( ! [X0: $real] :
        ( ~ $less(X0,0.0)
        | $less(X0,y) )
    | ~ spl0_2 ),
    inference(resolution,[],[f16,f38]) ).

tff(f38,plain,
    ( $less(0.0,y)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f37]) ).

tff(f2697,plain,
    ! [X0: $real] :
      ( $less($uminus(X0),0.0)
      | ~ $less(0.0,X0) ),
    inference(superposition,[],[f439,f14]) ).

tff(f14,plain,
    ! [X0: $real] : ( 0.0 = $sum(X0,$uminus(X0)) ),
    introduced(theory_axiom_148,[]) ).

tff(f439,plain,
    ! [X0: $real,X1: $real] :
      ( $less(X0,$sum(X1,X0))
      | ~ $less(0.0,X1) ),
    inference(superposition,[],[f114,f12]) ).

tff(f12,plain,
    ! [X0: $real] : ( $sum(X0,0.0) = X0 ),
    introduced(theory_axiom_145,[]) ).

tff(f114,plain,
    ! [X2: $real,X0: $real,X1: $real] :
      ( $less($sum(X1,X0),$sum(X2,X1))
      | ~ $less(X0,X2) ),
    inference(superposition,[],[f18,f10]) ).

tff(f10,plain,
    ! [X0: $real,X1: $real] : ( $sum(X0,X1) = $sum(X1,X0) ),
    introduced(theory_axiom_143,[]) ).

tff(f18,plain,
    ! [X2: $real,X0: $real,X1: $real] :
      ( $less($sum(X0,X2),$sum(X1,X2))
      | ~ $less(X0,X1) ),
    introduced(theory_axiom_153,[]) ).

tff(f5694,plain,
    ( spl0_23
    | spl0_24
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f5666,f41,f37,f33,f5692,f5639]) ).

tff(f5692,plain,
    ( spl0_24
  <=> ! [X0: $real] :
        ( $less(X0,1.0)
        | $less($uminus($sum(1.0,X0)),x) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

tff(f5666,plain,
    ( ! [X0: $real] :
        ( ( x = 0.0 )
        | $less(X0,1.0)
        | $less($uminus($sum(1.0,X0)),x) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(backward_subsumption_demodulation,[],[f5049,f5050]) ).

tff(f5050,plain,
    ( ! [X0: $real] :
        ( $less($uminus($sum(1.0,X0)),x)
        | $less(X0,1.0)
        | ( 0.0 = $uminus(X0) ) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(resolution,[],[f4588,f3494]) ).

tff(f4588,plain,
    ! [X0: $real] : $less($uminus($sum(1.0,X0)),$uminus(X0)),
    inference(superposition,[],[f68,f368]) ).

tff(f368,plain,
    ! [X0: $real,X1: $real] : ( $uminus(X1) = $sum($uminus($sum(X0,X1)),X0) ),
    inference(evaluation,[],[f354]) ).

tff(f354,plain,
    ! [X0: $real,X1: $real] : ( $uminus(X1) = $sum($uminus($sum($uminus($uminus(X0)),X1)),X0) ),
    inference(superposition,[],[f95,f145]) ).

tff(f145,plain,
    ! [X0: $real,X1: $real] : ( $sum(X0,$sum($uminus(X0),X1)) = X1 ),
    inference(evaluation,[],[f127]) ).

tff(f127,plain,
    ! [X0: $real,X1: $real] : ( $sum(0.0,X1) = $sum(X0,$sum($uminus(X0),X1)) ),
    inference(superposition,[],[f11,f14]) ).

tff(f11,plain,
    ! [X2: $real,X0: $real,X1: $real] : ( $sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2) ),
    introduced(theory_axiom_144,[]) ).

tff(f95,plain,
    ! [X0: $real,X1: $real] : ( $uminus($sum($uminus(X0),X1)) = $sum($uminus(X1),X0) ),
    inference(superposition,[],[f13,f20]) ).

tff(f13,plain,
    ! [X0: $real,X1: $real] : ( $uminus($sum(X0,X1)) = $sum($uminus(X1),$uminus(X0)) ),
    introduced(theory_axiom_147,[]) ).

tff(f68,plain,
    ! [X0: $real] : $less(X0,$sum(X0,1.0)),
    inference(resolution,[],[f19,f15]) ).

tff(f15,plain,
    ! [X0: $real] : ~ $less(X0,X0),
    introduced(theory_axiom_150,[]) ).

tff(f5049,plain,
    ( ! [X0: $real] :
        ( $less($uminus($sum(1.0,X0)),x)
        | $less(X0,1.0)
        | ( x = $uminus(X0) ) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(resolution,[],[f4588,f3702]) ).

tff(f3702,plain,
    ( ! [X0: $real,X1: $real] :
        ( ~ $less(X1,$uminus(X0))
        | $less(X1,x)
        | $less(X0,1.0)
        | ( x = $uminus(X0) ) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(resolution,[],[f3667,f16]) ).

tff(f3667,plain,
    ( ! [X0: $real] :
        ( $less($uminus(X0),x)
        | $less(X0,1.0)
        | ( x = $uminus(X0) ) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(resolution,[],[f1107,f3321]) ).

tff(f1107,plain,
    ( ! [X0: $real] :
        ( $less(0.0,X0)
        | ( x = X0 )
        | $less(X0,x) )
    | ~ spl0_3 ),
    inference(resolution,[],[f83,f42]) ).

tff(f83,plain,
    ! [X2: $real,X0: $real,X1: $real] :
      ( ~ $less(X2,X1)
      | $less(X0,X1)
      | ( X0 = X1 )
      | $less(X2,X0) ),
    inference(resolution,[],[f17,f16]) ).

tff(f5641,plain,
    ( spl0_22
    | spl0_23
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f5617,f41,f37,f33,f5639,f5636]) ).

tff(f5636,plain,
    ( spl0_22
  <=> ! [X0: $real] :
        ( $less(X0,1.0)
        | $less($uminus($sum(X0,1.0)),x) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

tff(f5617,plain,
    ( ! [X0: $real] :
        ( ( x = 0.0 )
        | $less(X0,1.0)
        | $less($uminus($sum(X0,1.0)),x) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(backward_subsumption_demodulation,[],[f4407,f4408]) ).

tff(f4408,plain,
    ( ! [X0: $real] :
        ( $less($uminus($sum(X0,1.0)),x)
        | ( 0.0 = $uminus(X0) )
        | $less(X0,1.0) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(resolution,[],[f4137,f3494]) ).

tff(f4137,plain,
    ! [X0: $real] : $less($uminus($sum(X0,1.0)),$uminus(X0)),
    inference(superposition,[],[f86,f250]) ).

tff(f250,plain,
    ! [X0: $real,X1: $real] : ( $uminus(X1) = $sum(X0,$uminus($sum(X1,X0))) ),
    inference(superposition,[],[f145,f13]) ).

tff(f86,plain,
    ! [X0: $real] : $less(X0,$sum(1.0,X0)),
    inference(superposition,[],[f68,f10]) ).

tff(f4407,plain,
    ( ! [X0: $real] :
        ( $less($uminus($sum(X0,1.0)),x)
        | $less(X0,1.0)
        | ( x = $uminus(X0) ) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(resolution,[],[f4137,f3702]) ).

tff(f4482,plain,
    ( spl0_21
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f4476,f41,f37,f33,f4480]) ).

tff(f4480,plain,
    ( spl0_21
  <=> $less(-6.0,x) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

tff(f4476,plain,
    ( $less(-6.0,x)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(evaluation,[],[f4465]) ).

tff(f4465,plain,
    ( ( 0.0 = -3.0 )
    | $less($uminus(-3.0),1.0)
    | $less($product(-3.0,2.0),x)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(superposition,[],[f4346,f957]) ).

tff(f4346,plain,
    ( ! [X0: $real] :
        ( $less($sum(-3.0,X0),x)
        | $less($uminus(X0),1.0)
        | ( 0.0 = X0 ) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(superposition,[],[f3512,f20]) ).

tff(f3512,plain,
    ( ! [X0: $real] :
        ( $less($sum(-3.0,$uminus(X0)),x)
        | $less(X0,1.0)
        | ( 0.0 = $uminus(X0) ) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(resolution,[],[f3494,f1058]) ).

tff(f1058,plain,
    ! [X0: $real] : $less($sum(-3.0,X0),X0),
    inference(evaluation,[],[f1053]) ).

tff(f1053,plain,
    ! [X0: $real] : $less($sum($uminus(3.0),X0),X0),
    inference(superposition,[],[f778,f145]) ).

tff(f778,plain,
    ! [X0: $real] : $less(X0,$sum(3.0,X0)),
    inference(evaluation,[],[f768]) ).

tff(f768,plain,
    ! [X0: $real] : $less(X0,$sum(2.0,$sum(1.0,X0))),
    inference(resolution,[],[f501,f69]) ).

tff(f69,plain,
    ! [X0: $real,X1: $real] :
      ( $less(X1,$sum(1.0,X0))
      | $less(X0,X1) ),
    inference(superposition,[],[f19,f10]) ).

tff(f501,plain,
    ! [X0: $real] : ~ $less($sum(2.0,X0),X0),
    inference(evaluation,[],[f493]) ).

tff(f493,plain,
    ! [X0: $real] : ~ $less($sum($sum(X0,1.0),1.0),X0),
    inference(resolution,[],[f484,f85]) ).

tff(f85,plain,
    ! [X0: $real,X1: $real] :
      ( $less(X0,$sum(X1,1.0))
      | ~ $less(X0,X1) ),
    inference(resolution,[],[f68,f16]) ).

tff(f484,plain,
    ! [X0: $real] : ~ $less($sum(X0,1.0),X0),
    inference(resolution,[],[f85,f15]) ).

tff(f3757,plain,
    ( spl0_20
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f2722,f33,f3755]) ).

tff(f3755,plain,
    ( spl0_20
  <=> $less($sum(-3.0,y),1.0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

tff(f2722,plain,
    ( $less($sum(-3.0,y),1.0)
    | ~ spl0_1 ),
    inference(resolution,[],[f1058,f78]) ).

tff(f3478,plain,
    ( spl0_19
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f2721,f1882,f3476]) ).

tff(f3476,plain,
    ( spl0_19
  <=> $less($sum(-3.0,y),2.0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

tff(f1882,plain,
    ( spl0_13
  <=> $less(y,2.0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

tff(f2721,plain,
    ( $less($sum(-3.0,y),2.0)
    | ~ spl0_13 ),
    inference(resolution,[],[f1058,f1963]) ).

tff(f1963,plain,
    ( ! [X0: $real] :
        ( ~ $less(X0,y)
        | $less(X0,2.0) )
    | ~ spl0_13 ),
    inference(resolution,[],[f1883,f16]) ).

tff(f1883,plain,
    ( $less(y,2.0)
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f1882]) ).

tff(f2809,plain,
    ( spl0_18
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f2747,f226,f2807]) ).

tff(f2807,plain,
    ( spl0_18
  <=> $less(-4.0,x) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

tff(f226,plain,
    ( spl0_5
  <=> $less(-1.0,x) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

tff(f2747,plain,
    ( $less(-4.0,x)
    | ~ spl0_5 ),
    inference(evaluation,[],[f2730]) ).

tff(f2730,plain,
    ( $less($sum(-3.0,-1.0),x)
    | ~ spl0_5 ),
    inference(resolution,[],[f1058,f233]) ).

tff(f233,plain,
    ( ! [X0: $real] :
        ( ~ $less(X0,-1.0)
        | $less(X0,x) )
    | ~ spl0_5 ),
    inference(resolution,[],[f227,f16]) ).

tff(f227,plain,
    ( $less(-1.0,x)
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f226]) ).

tff(f2795,plain,
    ( spl0_17
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f2746,f230,f2793]) ).

tff(f2793,plain,
    ( spl0_17
  <=> $less(-4.0,y) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

tff(f230,plain,
    ( spl0_6
  <=> $less(-1.0,y) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

tff(f2746,plain,
    ( $less(-4.0,y)
    | ~ spl0_6 ),
    inference(evaluation,[],[f2729]) ).

tff(f2729,plain,
    ( $less($sum(-3.0,-1.0),y)
    | ~ spl0_6 ),
    inference(resolution,[],[f1058,f235]) ).

tff(f235,plain,
    ( ! [X0: $real] :
        ( ~ $less(X0,-1.0)
        | $less(X0,y) )
    | ~ spl0_6 ),
    inference(resolution,[],[f231,f16]) ).

tff(f231,plain,
    ( $less(-1.0,y)
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f230]) ).

tff(f2716,plain,
    ( spl0_16
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f2712,f46,f41,f2714]) ).

tff(f2714,plain,
    ( spl0_16
  <=> $less(y,$product(x,y)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

tff(f46,plain,
    ( spl0_4
  <=> $less($sum(x,y),$product(x,y)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

tff(f2712,plain,
    ( $less(y,$product(x,y))
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(subsumption_resolution,[],[f2682,f42]) ).

tff(f2682,plain,
    ( ~ $less(0.0,x)
    | $less(y,$product(x,y))
    | ~ spl0_4 ),
    inference(resolution,[],[f439,f81]) ).

tff(f81,plain,
    ( ! [X0: $real] :
        ( ~ $less(X0,$sum(x,y))
        | $less(X0,$product(x,y)) )
    | ~ spl0_4 ),
    inference(resolution,[],[f16,f47]) ).

tff(f47,plain,
    ( $less($sum(x,y),$product(x,y))
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f46]) ).

tff(f2091,plain,
    ( spl0_15
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f2081,f1882,f2089]) ).

tff(f2089,plain,
    ( spl0_15
  <=> $less($sum(-2.0,y),2.0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

tff(f2081,plain,
    ( $less($sum(-2.0,y),2.0)
    | ~ spl0_13 ),
    inference(resolution,[],[f1963,f792]) ).

tff(f792,plain,
    ! [X0: $real] : $less($sum(-2.0,X0),X0),
    inference(evaluation,[],[f787]) ).

tff(f787,plain,
    ! [X0: $real] : $less($sum($uminus(2.0),X0),X0),
    inference(superposition,[],[f502,f145]) ).

tff(f502,plain,
    ! [X0: $real] : $less(X0,$sum(2.0,X0)),
    inference(evaluation,[],[f494]) ).

tff(f494,plain,
    ! [X0: $real] : $less(X0,$sum($sum(X0,1.0),1.0)),
    inference(resolution,[],[f484,f19]) ).

tff(f1989,plain,
    ( spl0_14
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f1968,f301,f1987]) ).

tff(f1987,plain,
    ( spl0_14
  <=> $less($sum(-1.0,y),2.0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

tff(f301,plain,
    ( spl0_7
  <=> $less($sum(-1.0,y),1.0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

tff(f1968,plain,
    ( $less($sum(-1.0,y),2.0)
    | ~ spl0_7 ),
    inference(resolution,[],[f1749,f302]) ).

tff(f302,plain,
    ( $less($sum(-1.0,y),1.0)
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f301]) ).

tff(f1749,plain,
    ! [X0: $real] :
      ( ~ $less(X0,1.0)
      | $less(X0,2.0) ),
    inference(evaluation,[],[f1707]) ).

tff(f1707,plain,
    ! [X0: $real] :
      ( ~ $less(X0,1.0)
      | $less(X0,$product(1.0,2.0)) ),
    inference(superposition,[],[f85,f957]) ).

tff(f1884,plain,
    ( spl0_13
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f1880,f33,f1882]) ).

tff(f1880,plain,
    ( $less(y,2.0)
    | ~ spl0_1 ),
    inference(evaluation,[],[f1869]) ).

tff(f1869,plain,
    ( $less(1.0,1.0)
    | $less(y,2.0)
    | ~ spl0_1 ),
    inference(resolution,[],[f1745,f78]) ).

tff(f1504,plain,
    ( spl0_12
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f1260,f33,f1502]) ).

tff(f1502,plain,
    ( spl0_12
  <=> $less($sum(-2.0,y),1.0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

tff(f1260,plain,
    ( $less($sum(-2.0,y),1.0)
    | ~ spl0_1 ),
    inference(resolution,[],[f792,f78]) ).

tff(f1391,plain,
    ( spl0_11
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f1279,f230,f1389]) ).

tff(f1389,plain,
    ( spl0_11
  <=> $less(-3.0,y) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

tff(f1279,plain,
    ( $less(-3.0,y)
    | ~ spl0_6 ),
    inference(evaluation,[],[f1265]) ).

tff(f1265,plain,
    ( $less($sum(-2.0,-1.0),y)
    | ~ spl0_6 ),
    inference(resolution,[],[f792,f235]) ).

tff(f1387,plain,
    ( spl0_10
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f1277,f226,f1385]) ).

tff(f1385,plain,
    ( spl0_10
  <=> $less(-3.0,x) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

tff(f1277,plain,
    ( $less(-3.0,x)
    | ~ spl0_5 ),
    inference(evaluation,[],[f1266]) ).

tff(f1266,plain,
    ( $less($sum(-2.0,-1.0),x)
    | ~ spl0_5 ),
    inference(resolution,[],[f792,f233]) ).

tff(f561,plain,
    ( spl0_9
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f431,f230,f559]) ).

tff(f559,plain,
    ( spl0_9
  <=> $less(-2.0,y) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

tff(f431,plain,
    ( $less(-2.0,y)
    | ~ spl0_6 ),
    inference(evaluation,[],[f428]) ).

tff(f428,plain,
    ( $less($sum(-1.0,-1.0),y)
    | ~ spl0_6 ),
    inference(resolution,[],[f235,f264]) ).

tff(f264,plain,
    ! [X0: $real] : $less($sum(-1.0,X0),X0),
    inference(evaluation,[],[f261]) ).

tff(f261,plain,
    ! [X0: $real] : $less($sum($uminus(1.0),X0),X0),
    inference(superposition,[],[f86,f145]) ).

tff(f387,plain,
    ( spl0_8
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f382,f226,f385]) ).

tff(f385,plain,
    ( spl0_8
  <=> $less(-2.0,x) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

tff(f382,plain,
    ( $less(-2.0,x)
    | ~ spl0_5 ),
    inference(evaluation,[],[f380]) ).

tff(f380,plain,
    ( $less($sum(-1.0,-1.0),x)
    | ~ spl0_5 ),
    inference(resolution,[],[f233,f280]) ).

tff(f280,plain,
    ! [X0: $real] : $less($sum(X0,-1.0),X0),
    inference(superposition,[],[f264,f10]) ).

tff(f303,plain,
    ( spl0_7
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f277,f33,f301]) ).

tff(f277,plain,
    ( $less($sum(-1.0,y),1.0)
    | ~ spl0_1 ),
    inference(resolution,[],[f264,f78]) ).

tff(f232,plain,
    ( spl0_6
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f224,f37,f230]) ).

tff(f224,plain,
    ( $less(-1.0,y)
    | ~ spl0_2 ),
    inference(evaluation,[],[f222]) ).

tff(f222,plain,
    ( $less(-1.0,y)
    | $less(0.0,0.0)
    | ~ spl0_2 ),
    inference(resolution,[],[f72,f79]) ).

tff(f72,plain,
    ! [X0: $real] :
      ( $less(-1.0,X0)
      | $less(X0,0.0) ),
    inference(evaluation,[],[f71]) ).

tff(f71,plain,
    ! [X0: $real] :
      ( $less(X0,0.0)
      | $less($uminus(1.0),X0) ),
    inference(superposition,[],[f19,f44]) ).

tff(f44,plain,
    ! [X0: $real] : ( 0.0 = $sum($uminus(X0),X0) ),
    inference(superposition,[],[f14,f20]) ).

tff(f228,plain,
    ( spl0_5
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f223,f41,f226]) ).

tff(f223,plain,
    ( $less(-1.0,x)
    | ~ spl0_3 ),
    inference(evaluation,[],[f221]) ).

tff(f221,plain,
    ( $less(-1.0,x)
    | $less(0.0,0.0)
    | ~ spl0_3 ),
    inference(resolution,[],[f72,f80]) ).

tff(f48,plain,
    spl0_4,
    inference(avatar_split_clause,[],[f31,f46]) ).

tff(f31,plain,
    $less($sum(x,y),$product(x,y)),
    inference(cnf_transformation,[],[f8]) ).

tff(f8,plain,
    $less($sum(x,y),$product(x,y)),
    inference(theory_normalization,[],[f4]) ).

tff(f4,axiom,
    $greater($product(x,y),$sum(x,y)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

tff(f43,plain,
    spl0_3,
    inference(avatar_split_clause,[],[f30,f41]) ).

tff(f30,plain,
    $less(0.0,x),
    inference(cnf_transformation,[],[f9]) ).

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

tff(f1,axiom,
    $greater(x,0.0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

tff(f39,plain,
    spl0_2,
    inference(avatar_split_clause,[],[f29,f37]) ).

tff(f29,plain,
    $less(0.0,y),
    inference(cnf_transformation,[],[f7]) ).

tff(f7,plain,
    $less(0.0,y),
    inference(theory_normalization,[],[f2]) ).

tff(f2,axiom,
    $greater(y,0.0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

tff(f35,plain,
    spl0_1,
    inference(avatar_split_clause,[],[f28,f33]) ).

tff(f28,plain,
    $less(y,1.0),
    inference(cnf_transformation,[],[f3]) ).

tff(f3,axiom,
    $less(y,1.0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem    : ARI640_1 : TPTP v8.2.0. Released v6.3.0.
% 0.11/0.11  % Command    : run_vampire %s %d THM
% 0.11/0.32  % Computer : n019.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit   : 300
% 0.11/0.32  % WCLimit    : 300
% 0.11/0.32  % DateTime   : Fri Jun 21 06:00:54 EDT 2024
% 0.11/0.32  % CPUTime    : 
% 0.18/0.34  This is a TF0_THM_NEQ_ARI problem
% 0.18/0.34  Running first-order theorem proving
% 0.18/0.34  Running /export/starexec/sandbox2/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.40  % (20686)Running in auto input_syntax mode. Trying TPTP
% 0.18/0.40  % (20687)dis+1010_1:4_aac=none:abs=on:atotf=0.5:avsq=on:avsqc=2:avsqr=215,247:awrs=converge:awrsf=128:bsd=on:erd=off:fde=none:gve=cautious:newcnf=on:nwc=5.0:rnwc=on:sac=on:sas=z3:sp=const_min:tgt=ground:thsq=on:thsqc=64:thsqr=1,4:i=59848:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59848Mi)
% 0.18/0.40  % (20686)Running in auto input_syntax mode. Trying TPTP
% 0.18/0.40  % (20690)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.18/0.40  % (20686)Running in auto input_syntax mode. Trying TPTP
% 0.18/0.40  % (20689)dis+1011_1:64_drc=off:flr=on:nwc=2.0:sac=on:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.18/0.40  % (20686)Running in auto input_syntax mode. Trying TPTP
% 0.18/0.40  % (20688)lrs+1010_1:1_aac=none:bce=on:nicw=on:nm=0:plsq=on:plsql=on:sac=on:sos=on:sp=frequency:spb=units:to=lpo:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.18/0.40  % (20686)Running in auto input_syntax mode. Trying TPTP
% 0.18/0.40  % (20693)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)
% 0.18/0.40  % (20686)Running in auto input_syntax mode. Trying TPTP
% 0.18/0.40  % (20692)lrs+10_1:32_s2a=on:s2agt=10:sgt=8:ss=axioms:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.18/0.40  % (20686)Running in auto input_syntax mode. Trying TPTP
% 0.18/0.40  % (20691)ott+1011_1:2_br=off:bs=unit_only:bsr=unit_only:nwc=5.0:s2a=on:s2agt=32:urr=on:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.18/0.40  % (20690)Instruction limit reached!
% 0.18/0.40  % (20690)------------------------------
% 0.18/0.40  % (20690)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.18/0.40  % (20690)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.18/0.40  % (20690)Termination reason: Time limit
% 0.18/0.40  % (20690)Termination phase: Saturation
% 0.18/0.40  
% 0.18/0.40  % (20690)Memory used [KB]: 786
% 0.18/0.40  % (20690)Time elapsed: 0.004 s
% 0.18/0.40  % (20690)Instructions burned: 2 (million)
% 0.18/0.40  % (20689)Instruction limit reached!
% 0.18/0.40  % (20689)------------------------------
% 0.18/0.40  % (20689)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.18/0.40  % (20689)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.18/0.41  % (20689)Termination reason: Time limit
% 0.18/0.41  % (20689)Termination phase: Saturation
% 0.18/0.41  
% 0.18/0.41  % (20689)Memory used [KB]: 875
% 0.18/0.41  % (20689)Time elapsed: 0.007 s
% 0.18/0.41  % (20689)Instructions burned: 8 (million)
% 0.18/0.41  % (20692)Instruction limit reached!
% 0.18/0.41  % (20692)------------------------------
% 0.18/0.41  % (20692)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.18/0.41  % (20692)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.18/0.41  % (20692)Termination reason: Time limit
% 0.18/0.41  % (20692)Termination phase: Saturation
% 0.18/0.41  
% 0.18/0.41  % (20692)Memory used [KB]: 896
% 0.18/0.41  % (20692)Time elapsed: 0.012 s
% 0.18/0.41  % (20692)Instructions burned: 15 (million)
% 0.19/0.42  % (20693)Instruction limit reached!
% 0.19/0.42  % (20693)------------------------------
% 0.19/0.42  % (20693)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.19/0.42  % (20693)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.19/0.42  % (20693)Termination reason: Time limit
% 0.19/0.42  % (20693)Termination phase: Saturation
% 0.19/0.42  
% 0.19/0.42  % (20693)Memory used [KB]: 1092
% 0.19/0.42  % (20693)Time elapsed: 0.020 s
% 0.19/0.42  % (20693)Instructions burned: 33 (million)
% 0.19/0.42  % (20688)Instruction limit reached!
% 0.19/0.42  % (20688)------------------------------
% 0.19/0.42  % (20688)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.19/0.42  % (20688)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.19/0.42  % (20688)Termination reason: Time limit
% 0.19/0.42  % (20688)Termination phase: Saturation
% 0.19/0.42  
% 0.19/0.42  % (20688)Memory used [KB]: 1011
% 0.19/0.42  % (20688)Time elapsed: 0.021 s
% 0.19/0.42  % (20688)Instructions burned: 35 (million)
% 0.19/0.42  % (20691)Instruction limit reached!
% 0.19/0.42  % (20691)------------------------------
% 0.19/0.42  % (20691)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.19/0.42  % (20691)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.19/0.42  % (20691)Termination reason: Time limit
% 0.19/0.42  % (20691)Termination phase: Saturation
% 0.19/0.42  
% 0.19/0.42  % (20691)Memory used [KB]: 1267
% 0.19/0.42  % (20691)Time elapsed: 0.026 s
% 0.19/0.42  % (20691)Instructions burned: 38 (million)
% 0.19/0.46  % (20686)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.46  % (20694)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=36:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/36Mi)
% 0.19/0.47  % (20686)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.47  % (20695)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)
% 0.19/0.47  % (20686)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.47  % (20696)lrs+10_1:8_ep=R:erd=off:fs=off:fsr=off:gve=force:nwc=2.0:uwa=one_side_interpreted:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.47  % (20696)Instruction limit reached!
% 0.19/0.47  % (20696)------------------------------
% 0.19/0.47  % (20696)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.19/0.47  % (20696)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.19/0.47  % (20696)Termination reason: Time limit
% 0.19/0.47  % (20696)Termination phase: Saturation
% 0.19/0.47  
% 0.19/0.47  % (20696)Memory used [KB]: 759
% 0.19/0.47  % (20696)Time elapsed: 0.003 s
% 0.19/0.47  % (20696)Instructions burned: 2 (million)
% 0.19/0.48  % (20694)Instruction limit reached!
% 0.19/0.48  % (20694)------------------------------
% 0.19/0.48  % (20694)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.19/0.48  % (20694)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.19/0.48  % (20694)Termination reason: Time limit
% 0.19/0.48  % (20694)Termination phase: Saturation
% 0.19/0.48  
% 0.19/0.48  % (20694)Memory used [KB]: 1027
% 0.19/0.48  % (20694)Time elapsed: 0.023 s
% 0.19/0.48  % (20694)Instructions burned: 37 (million)
% 0.19/0.48  % (20686)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.48  % (20699)lrs+10_1:1_ep=R:gve=force:plsq=on:plsqr=32,1:uwa=one_side_interpreted:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.48  % (20686)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.48  % (20698)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.19/0.48  % (20686)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.48  % (20697)lrs+10_1:1_canc=force:tha=some:to=lpo:i=35:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/35Mi)
% 0.19/0.48  % (20699)Instruction limit reached!
% 0.19/0.48  % (20699)------------------------------
% 0.19/0.48  % (20699)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.19/0.48  % (20699)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.19/0.48  % (20699)Termination reason: Time limit
% 0.19/0.48  % (20699)Termination phase: Saturation
% 0.19/0.48  
% 0.19/0.48  % (20699)Memory used [KB]: 781
% 0.19/0.48  % (20699)Time elapsed: 0.004 s
% 0.19/0.48  % (20699)Instructions burned: 3 (million)
% 0.19/0.48  % (20695)Instruction limit reached!
% 0.19/0.48  % (20695)------------------------------
% 0.19/0.48  % (20695)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.19/0.48  % (20695)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.19/0.48  % (20695)Termination reason: Time limit
% 0.19/0.48  % (20695)Termination phase: Saturation
% 0.19/0.48  
% 0.19/0.48  % (20695)Memory used [KB]: 997
% 0.19/0.48  % (20695)Time elapsed: 0.018 s
% 0.19/0.48  % (20695)Instructions burned: 27 (million)
% 0.19/0.48  % (20698)Instruction limit reached!
% 0.19/0.48  % (20698)------------------------------
% 0.19/0.48  % (20698)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.19/0.48  % (20698)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.19/0.48  % (20698)Termination reason: Time limit
% 0.19/0.48  % (20698)Termination phase: Saturation
% 0.19/0.48  
% 0.19/0.48  % (20698)Memory used [KB]: 846
% 0.19/0.48  % (20698)Time elapsed: 0.005 s
% 0.19/0.48  % (20698)Instructions burned: 4 (million)
% 0.19/0.50  % (20697)Instruction limit reached!
% 0.19/0.50  % (20697)------------------------------
% 0.19/0.50  % (20697)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.19/0.50  % (20697)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.19/0.50  % (20697)Termination reason: Time limit
% 0.19/0.50  % (20697)Termination phase: Saturation
% 0.19/0.50  
% 0.19/0.50  % (20697)Memory used [KB]: 952
% 0.19/0.50  % (20697)Time elapsed: 0.021 s
% 0.19/0.50  % (20697)Instructions burned: 35 (million)
% 0.19/0.52  % (20686)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.52  % (20700)dis+10_1:64_nwc=1.4:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/21Mi)
% 0.19/0.52  % (20700)Refutation not found, incomplete strategy% (20700)------------------------------
% 0.19/0.52  % (20700)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.19/0.52  % (20700)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.19/0.52  % (20700)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.52  
% 0.19/0.52  % (20700)Memory used [KB]: 739
% 0.19/0.52  % (20700)Time elapsed: 0.002 s
% 0.19/0.52  % (20700)Instructions burned: 1 (million)
% 0.19/0.52  % (20700)------------------------------
% 0.19/0.52  % (20700)------------------------------
% 0.19/0.53  % (20686)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.53  % (20704)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/49Mi)
% 0.19/0.53  % (20686)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.53  % (20702)dis+20_1:12_aac=none:acc=model:awrs=converge:fd=preordered:fsr=off:nicw=on:nwc=3.0:s2a=on:s2agt=16:spb=goal:to=lpo:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/2Mi)
% 0.19/0.53  % (20686)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.53  % (20701)lrs+22_1:1_amm=sco:fsr=off:gve=force:sos=on:uwa=all:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/50Mi)
% 0.19/0.53  % (20702)Instruction limit reached!
% 0.19/0.53  % (20702)------------------------------
% 0.19/0.53  % (20702)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.19/0.53  % (20702)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.19/0.53  % (20702)Termination reason: Time limit
% 0.19/0.53  % (20702)Termination phase: Saturation
% 0.19/0.53  
% 0.19/0.53  % (20702)Memory used [KB]: 863
% 0.19/0.53  % (20702)Time elapsed: 0.004 s
% 0.19/0.53  % (20702)Instructions burned: 3 (million)
% 0.19/0.54  % (20686)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.54  % (20703)lrs+10_1:1_ev=force:gve=cautious:tha=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/2Mi)
% 0.19/0.54  % (20703)Refutation not found, incomplete strategy% (20703)------------------------------
% 0.19/0.54  % (20703)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.19/0.54  % (20703)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.19/0.54  % (20703)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.54  
% 0.19/0.54  % (20703)Memory used [KB]: 741
% 0.19/0.54  % (20703)Time elapsed: 0.002 s
% 0.19/0.54  % (20703)Instructions burned: 1 (million)
% 0.19/0.54  % (20703)------------------------------
% 0.19/0.54  % (20703)------------------------------
% 0.19/0.56  % (20686)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.56  % (20705)lrs+10_1:1_ss=axioms:st=5.0:tha=off:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/15Mi)
% 0.19/0.56  % (20705)Refutation not found, incomplete strategy% (20705)------------------------------
% 0.19/0.56  % (20705)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.19/0.56  % (20705)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.19/0.56  % (20705)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.56  
% 0.19/0.56  % (20705)Memory used [KB]: 739
% 0.19/0.56  % (20705)Time elapsed: 0.003 s
% 0.19/0.56  % (20705)Instructions burned: 1 (million)
% 0.19/0.56  % (20705)------------------------------
% 0.19/0.56  % (20705)------------------------------
% 0.19/0.56  % (20704)Instruction limit reached!
% 0.19/0.56  % (20704)------------------------------
% 0.19/0.56  % (20704)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.19/0.56  % (20704)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.19/0.56  % (20704)Termination reason: Time limit
% 0.19/0.56  % (20704)Termination phase: Saturation
% 0.19/0.56  
% 0.19/0.56  % (20704)Memory used [KB]: 1216
% 0.19/0.56  % (20704)Time elapsed: 0.028 s
% 0.19/0.56  % (20704)Instructions burned: 50 (million)
% 0.19/0.56  % (20701)Instruction limit reached!
% 0.19/0.56  % (20701)------------------------------
% 0.19/0.56  % (20701)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.19/0.56  % (20701)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.19/0.56  % (20701)Termination reason: Time limit
% 0.19/0.56  % (20701)Termination phase: Saturation
% 0.19/0.56  
% 0.19/0.56  % (20701)Memory used [KB]: 1291
% 0.19/0.56  % (20701)Time elapsed: 0.028 s
% 0.19/0.56  % (20701)Instructions burned: 52 (million)
% 0.19/0.58  % (20686)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.58  % (20706)lrs+10_1:1_sd=10:sos=all:ss=axioms:st=5.0:tha=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/2Mi)
% 1.72/0.58  % (20706)Refutation not found, incomplete strategy% (20706)------------------------------
% 1.72/0.58  % (20706)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.72/0.58  % (20706)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.72/0.58  % (20706)Termination reason: Refutation not found, incomplete strategy
% 1.72/0.58  
% 1.72/0.58  % (20706)Memory used [KB]: 739
% 1.72/0.58  % (20706)Time elapsed: 0.003 s
% 1.72/0.58  % (20706)Instructions burned: 1 (million)
% 1.72/0.58  % (20706)------------------------------
% 1.72/0.58  % (20706)------------------------------
% 1.72/0.59  % (20686)Running in auto input_syntax mode. Trying TPTP
% 1.72/0.59  % (20707)dis+1002_1:5_av=off:nwc=2.0:sos=all:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/15Mi)
% 1.72/0.59  % (20686)Running in auto input_syntax mode. Trying TPTP
% 1.72/0.59  % (20708)dis+10_1:64_nwc=1.4:rp=on:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/21Mi)
% 1.72/0.59  % (20708)Refutation not found, incomplete strategy% (20708)------------------------------
% 1.72/0.59  % (20708)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.72/0.59  % (20708)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.72/0.59  % (20708)Termination reason: Refutation not found, incomplete strategy
% 1.72/0.59  
% 1.72/0.59  % (20708)Memory used [KB]: 739
% 1.72/0.59  % (20708)Time elapsed: 0.002 s
% 1.72/0.59  % (20708)Instructions burned: 1 (million)
% 1.72/0.59  % (20708)------------------------------
% 1.72/0.59  % (20708)------------------------------
% 1.86/0.60  % (20707)Instruction limit reached!
% 1.86/0.60  % (20707)------------------------------
% 1.86/0.60  % (20707)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.86/0.60  % (20707)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.86/0.60  % (20707)Termination reason: Time limit
% 1.86/0.60  % (20707)Termination phase: Saturation
% 1.86/0.60  
% 1.86/0.60  % (20707)Memory used [KB]: 898
% 1.86/0.60  % (20707)Time elapsed: 0.012 s
% 1.86/0.60  % (20707)Instructions burned: 16 (million)
% 1.86/0.61  % (20686)Running in auto input_syntax mode. Trying TPTP
% 1.86/0.61  % (20710)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/50Mi)
% 1.86/0.61  % (20686)Running in auto input_syntax mode. Trying TPTP
% 1.86/0.61  % (20709)dis+2_1:1_av=off:bsr=on:erd=off:s2pl=on:sgt=16:sos=on:sp=frequency:ss=axioms:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/46Mi)
% 1.86/0.61  % (20686)Running in auto input_syntax mode. Trying TPTP
% 1.86/0.61  % (20711)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 (2998ds/47Mi)
% 1.86/0.62  % (20687)First to succeed.
% 1.86/0.62  % (20687)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-20686"
% 1.86/0.62  % (20686)Running in auto input_syntax mode. Trying TPTP
% 1.86/0.62  % (20687)Refutation found. Thanks to Tanya!
% 1.86/0.62  % SZS status Theorem for theBenchmark
% 1.86/0.62  % SZS output start Proof for theBenchmark
% See solution above
% 1.86/0.63  % (20687)------------------------------
% 1.86/0.63  % (20687)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.86/0.63  % (20687)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.86/0.63  % (20687)Termination reason: Refutation
% 1.86/0.63  
% 1.86/0.63  % (20687)Memory used [KB]: 2682
% 1.86/0.63  % (20687)Time elapsed: 0.223 s
% 1.86/0.63  % (20687)Instructions burned: 470 (million)
% 1.86/0.63  % (20687)------------------------------
% 1.86/0.63  % (20687)------------------------------
% 1.86/0.63  % (20686)Success in time 0.28 s
%------------------------------------------------------------------------------