TSTP Solution File: ARI633_1 by Vampire---4.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.9
% Problem  : ARI633_1 : TPTP v8.2.0. Released v6.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire %s %d THM

% Computer : n029.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 04:32:11 EDT 2024

% Result   : Theorem 1.36s 0.56s
% Output   : Refutation 1.36s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   65
% Syntax   : Number of formulae    :  186 (  36 unt;   9 typ;   0 def)
%            Number of atoms       :  490 (  38 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  576 ( 263   ~; 276   |;   0   &)
%                                         (  37 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number arithmetic     :  386 ( 154 atm; 117 fun;  49 num;  66 var)
%            Number of types       :    1 (   0 usr;   1 ari)
%            Number of type conns  :    1 (   1   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   42 (  37 usr;  38 prp; 0-2 aty)
%            Number of functors    :   14 (   9 usr;  10 con; 0-2 aty)
%            Number of variables   :   66 (  66   !;   0   ?;  66   :)

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

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

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

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

tff(func_def_4,type,
    f: $real > $real ).

tff(func_def_10,type,
    sF0: $real ).

tff(func_def_11,type,
    sF1: $real ).

tff(func_def_12,type,
    sF2: $real ).

tff(func_def_13,type,
    sF3: $real ).

tff(f1377,plain,
    $false,
    inference(avatar_smt_refutation,[],[f38,f42,f46,f50,f55,f59,f63,f67,f186,f298,f332,f410,f412,f416,f448,f465,f466,f480,f499,f699,f704,f708,f712,f827,f845,f883,f887,f949,f955,f1181,f1185,f1189,f1376]) ).

tff(f1376,plain,
    ( ~ spl4_2
    | ~ spl4_37 ),
    inference(avatar_contradiction_clause,[],[f1375]) ).

tff(f1375,plain,
    ( $false
    | ~ spl4_2
    | ~ spl4_37 ),
    inference(subsumption_resolution,[],[f1373,f13]) ).

tff(f13,plain,
    ! [X0: $real] : ~ $less(X0,X0),
    introduced(theory_axiom_150,[]) ).

tff(f1373,plain,
    ( $less(w,w)
    | ~ spl4_2
    | ~ spl4_37 ),
    inference(resolution,[],[f1188,f93]) ).

tff(f93,plain,
    ( ! [X0: $real] :
        ( ~ $less(X0,0.0)
        | $less(X0,w) )
    | ~ spl4_2 ),
    inference(resolution,[],[f14,f41]) ).

tff(f41,plain,
    ( $less(0.0,w)
    | ~ spl4_2 ),
    inference(avatar_component_clause,[],[f40]) ).

tff(f40,plain,
    ( spl4_2
  <=> $less(0.0,w) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).

tff(f14,plain,
    ! [X2: $real,X0: $real,X1: $real] :
      ( ~ $less(X1,X2)
      | $less(X0,X2)
      | ~ $less(X0,X1) ),
    introduced(theory_axiom_151,[]) ).

tff(f1188,plain,
    ( $less(w,0.0)
    | ~ spl4_37 ),
    inference(avatar_component_clause,[],[f1187]) ).

tff(f1187,plain,
    ( spl4_37
  <=> $less(w,0.0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_37])]) ).

tff(f1189,plain,
    ( spl4_37
    | ~ spl4_21
    | ~ spl4_28 ),
    inference(avatar_split_clause,[],[f959,f822,f462,f1187]) ).

tff(f462,plain,
    ( spl4_21
  <=> $less(w,v) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_21])]) ).

tff(f822,plain,
    ( spl4_28
  <=> $less(v,0.0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_28])]) ).

tff(f959,plain,
    ( $less(w,0.0)
    | ~ spl4_21
    | ~ spl4_28 ),
    inference(resolution,[],[f830,f463]) ).

tff(f463,plain,
    ( $less(w,v)
    | ~ spl4_21 ),
    inference(avatar_component_clause,[],[f462]) ).

tff(f830,plain,
    ( ! [X0: $real] :
        ( ~ $less(X0,v)
        | $less(X0,0.0) )
    | ~ spl4_28 ),
    inference(resolution,[],[f823,f14]) ).

tff(f823,plain,
    ( $less(v,0.0)
    | ~ spl4_28 ),
    inference(avatar_component_clause,[],[f822]) ).

tff(f1185,plain,
    ( spl4_36
    | ~ spl4_3
    | ~ spl4_28 ),
    inference(avatar_split_clause,[],[f958,f822,f44,f1183]) ).

tff(f1183,plain,
    ( spl4_36
  <=> $less(u,0.0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_36])]) ).

tff(f44,plain,
    ( spl4_3
  <=> $less(u,v) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_3])]) ).

tff(f958,plain,
    ( $less(u,0.0)
    | ~ spl4_3
    | ~ spl4_28 ),
    inference(resolution,[],[f830,f45]) ).

tff(f45,plain,
    ( $less(u,v)
    | ~ spl4_3 ),
    inference(avatar_component_clause,[],[f44]) ).

tff(f1181,plain,
    ( spl4_34
    | ~ spl4_35
    | ~ spl4_3
    | ~ spl4_7
    | ~ spl4_8
    | ~ spl4_14
    | ~ spl4_29 ),
    inference(avatar_split_clause,[],[f1127,f825,f324,f65,f61,f44,f1179,f1176]) ).

tff(f1176,plain,
    ( spl4_34
  <=> $less(sF2,v) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_34])]) ).

tff(f1179,plain,
    ( spl4_35
  <=> $less(sF1,v) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_35])]) ).

tff(f61,plain,
    ( spl4_7
  <=> ( $sum(u,sF1) = sF2 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_7])]) ).

tff(f65,plain,
    ( spl4_8
  <=> ( $sum(v,w) = sF3 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_8])]) ).

tff(f324,plain,
    ( spl4_14
  <=> ( u = sF3 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_14])]) ).

tff(f825,plain,
    ( spl4_29
  <=> $less(u,w) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_29])]) ).

tff(f1127,plain,
    ( ~ $less(sF1,v)
    | $less(sF2,v)
    | ~ spl4_3
    | ~ spl4_7
    | ~ spl4_8
    | ~ spl4_14
    | ~ spl4_29 ),
    inference(subsumption_resolution,[],[f1115,f951]) ).

tff(f951,plain,
    ( $less(u,w)
    | ~ spl4_29 ),
    inference(avatar_component_clause,[],[f825]) ).

tff(f1115,plain,
    ( $less(sF2,v)
    | ~ $less(u,w)
    | ~ $less(sF1,v)
    | ~ spl4_3
    | ~ spl4_7
    | ~ spl4_8
    | ~ spl4_14 ),
    inference(superposition,[],[f902,f62]) ).

tff(f62,plain,
    ( ( $sum(u,sF1) = sF2 )
    | ~ spl4_7 ),
    inference(avatar_component_clause,[],[f61]) ).

tff(f902,plain,
    ( ! [X0: $real,X1: $real] :
        ( $less($sum(X0,X1),v)
        | ~ $less(X1,v)
        | ~ $less(X0,w) )
    | ~ spl4_3
    | ~ spl4_8
    | ~ spl4_14 ),
    inference(resolution,[],[f130,f436]) ).

tff(f436,plain,
    ( ! [X0: $real,X1: $real] :
        ( ~ $less(X1,$sum(X0,w))
        | $less(X1,v)
        | ~ $less(X0,v) )
    | ~ spl4_3
    | ~ spl4_8
    | ~ spl4_14 ),
    inference(resolution,[],[f429,f14]) ).

tff(f429,plain,
    ( ! [X0: $real] :
        ( $less($sum(X0,w),v)
        | ~ $less(X0,v) )
    | ~ spl4_3
    | ~ spl4_8
    | ~ spl4_14 ),
    inference(resolution,[],[f386,f94]) ).

tff(f94,plain,
    ( ! [X0: $real] :
        ( ~ $less(X0,u)
        | $less(X0,v) )
    | ~ spl4_3 ),
    inference(resolution,[],[f14,f45]) ).

tff(f386,plain,
    ( ! [X0: $real] :
        ( $less($sum(X0,w),u)
        | ~ $less(X0,v) )
    | ~ spl4_8
    | ~ spl4_14 ),
    inference(backward_demodulation,[],[f133,f325]) ).

tff(f325,plain,
    ( ( u = sF3 )
    | ~ spl4_14 ),
    inference(avatar_component_clause,[],[f324]) ).

tff(f133,plain,
    ( ! [X0: $real] :
        ( $less($sum(X0,w),sF3)
        | ~ $less(X0,v) )
    | ~ spl4_8 ),
    inference(superposition,[],[f16,f66]) ).

tff(f66,plain,
    ( ( $sum(v,w) = sF3 )
    | ~ spl4_8 ),
    inference(avatar_component_clause,[],[f65]) ).

tff(f16,plain,
    ! [X2: $real,X0: $real,X1: $real] :
      ( $less($sum(X0,X2),$sum(X1,X2))
      | ~ $less(X0,X1) ),
    introduced(theory_axiom_153,[]) ).

tff(f130,plain,
    ! [X2: $real,X0: $real,X1: $real] :
      ( $less($sum(X2,X1),$sum(X1,X0))
      | ~ $less(X2,X0) ),
    inference(superposition,[],[f16,f8]) ).

tff(f8,plain,
    ! [X0: $real,X1: $real] : ( $sum(X0,X1) = $sum(X1,X0) ),
    introduced(theory_axiom_143,[]) ).

tff(f955,plain,
    ( spl4_29
    | spl4_33
    | spl4_24 ),
    inference(avatar_split_clause,[],[f700,f697,f953,f825]) ).

tff(f953,plain,
    ( spl4_33
  <=> ( u = w ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_33])]) ).

tff(f697,plain,
    ( spl4_24
  <=> $less(w,u) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_24])]) ).

tff(f700,plain,
    ( $less(u,w)
    | ( u = w )
    | spl4_24 ),
    inference(resolution,[],[f698,f15]) ).

tff(f15,plain,
    ! [X0: $real,X1: $real] :
      ( $less(X1,X0)
      | $less(X0,X1)
      | ( X0 = X1 ) ),
    introduced(theory_axiom_152,[]) ).

tff(f698,plain,
    ( ~ $less(w,u)
    | spl4_24 ),
    inference(avatar_component_clause,[],[f697]) ).

tff(f949,plain,
    ( ~ spl4_32
    | ~ spl4_3
    | ~ spl4_8
    | ~ spl4_14
    | spl4_20 ),
    inference(avatar_split_clause,[],[f942,f446,f324,f65,f44,f947]) ).

tff(f947,plain,
    ( spl4_32
  <=> $less($sum(1.0,$uminus(w)),v) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_32])]) ).

tff(f446,plain,
    ( spl4_20
  <=> $less(0.0,v) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_20])]) ).

tff(f942,plain,
    ( ~ $less($sum(1.0,$uminus(w)),v)
    | ~ spl4_3
    | ~ spl4_8
    | ~ spl4_14
    | spl4_20 ),
    inference(resolution,[],[f896,f276]) ).

tff(f276,plain,
    ! [X0: $real] : $less(X0,$sum(1.0,X0)),
    inference(superposition,[],[f88,f8]) ).

tff(f88,plain,
    ! [X0: $real] : $less(X0,$sum(X0,1.0)),
    inference(resolution,[],[f17,f13]) ).

tff(f17,plain,
    ! [X0: $real,X1: $real] :
      ( $less(X1,$sum(X0,1.0))
      | $less(X0,X1) ),
    introduced(theory_axiom_155,[]) ).

tff(f896,plain,
    ( ! [X0: $real] :
        ( ~ $less($uminus(w),X0)
        | ~ $less(X0,v) )
    | ~ spl4_3
    | ~ spl4_8
    | ~ spl4_14
    | spl4_20 ),
    inference(subsumption_resolution,[],[f895,f464]) ).

tff(f464,plain,
    ( ~ $less(0.0,v)
    | spl4_20 ),
    inference(avatar_component_clause,[],[f446]) ).

tff(f895,plain,
    ( ! [X0: $real] :
        ( ~ $less(X0,v)
        | $less(0.0,v)
        | ~ $less($uminus(w),X0) )
    | ~ spl4_3
    | ~ spl4_8
    | ~ spl4_14 ),
    inference(superposition,[],[f471,f68]) ).

tff(f68,plain,
    ! [X0: $real] : ( 0.0 = $sum($uminus(X0),X0) ),
    inference(superposition,[],[f12,f18]) ).

tff(f18,plain,
    ! [X0: $real] : ( $uminus($uminus(X0)) = X0 ),
    introduced(theory_axiom_156,[]) ).

tff(f12,plain,
    ! [X0: $real] : ( 0.0 = $sum(X0,$uminus(X0)) ),
    introduced(theory_axiom_148,[]) ).

tff(f471,plain,
    ( ! [X0: $real,X1: $real] :
        ( $less($sum(X0,w),v)
        | ~ $less(X0,X1)
        | ~ $less(X1,v) )
    | ~ spl4_3
    | ~ spl4_8
    | ~ spl4_14 ),
    inference(resolution,[],[f436,f16]) ).

tff(f887,plain,
    ( spl4_31
    | ~ spl4_11
    | ~ spl4_28 ),
    inference(avatar_split_clause,[],[f828,f822,f290,f885]) ).

tff(f885,plain,
    ( spl4_31
  <=> $less(v,sF2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_31])]) ).

tff(f290,plain,
    ( spl4_11
  <=> $less(0.0,sF2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_11])]) ).

tff(f828,plain,
    ( $less(v,sF2)
    | ~ spl4_11
    | ~ spl4_28 ),
    inference(resolution,[],[f823,f299]) ).

tff(f299,plain,
    ( ! [X0: $real] :
        ( ~ $less(X0,0.0)
        | $less(X0,sF2) )
    | ~ spl4_11 ),
    inference(resolution,[],[f291,f14]) ).

tff(f291,plain,
    ( $less(0.0,sF2)
    | ~ spl4_11 ),
    inference(avatar_component_clause,[],[f290]) ).

tff(f883,plain,
    ( ~ spl4_26
    | ~ spl4_3
    | ~ spl4_8
    | ~ spl4_14
    | spl4_20
    | ~ spl4_23 ),
    inference(avatar_split_clause,[],[f867,f497,f446,f324,f65,f44,f706]) ).

tff(f706,plain,
    ( spl4_26
  <=> $less($sum(v,$uminus(u)),v) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_26])]) ).

tff(f497,plain,
    ( spl4_23
  <=> ( v = $sum(u,$uminus(w)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_23])]) ).

tff(f867,plain,
    ( ~ $less($sum(v,$uminus(u)),v)
    | ~ spl4_3
    | ~ spl4_8
    | ~ spl4_14
    | spl4_20
    | ~ spl4_23 ),
    inference(forward_demodulation,[],[f853,f8]) ).

tff(f853,plain,
    ( ~ $less($sum($uminus(u),v),v)
    | ~ spl4_3
    | ~ spl4_8
    | ~ spl4_14
    | spl4_20
    | ~ spl4_23 ),
    inference(superposition,[],[f731,f498]) ).

tff(f498,plain,
    ( ( v = $sum(u,$uminus(w)) )
    | ~ spl4_23 ),
    inference(avatar_component_clause,[],[f497]) ).

tff(f731,plain,
    ( ! [X0: $real] : ~ $less($sum($uminus(X0),$sum(X0,$uminus(w))),v)
    | ~ spl4_3
    | ~ spl4_8
    | ~ spl4_14
    | spl4_20 ),
    inference(superposition,[],[f561,f102]) ).

tff(f102,plain,
    ! [X0: $real,X1: $real] : ( $uminus($sum(X1,$uminus(X0))) = $sum(X0,$uminus(X1)) ),
    inference(superposition,[],[f11,f18]) ).

tff(f11,plain,
    ! [X0: $real,X1: $real] : ( $uminus($sum(X0,X1)) = $sum($uminus(X1),$uminus(X0)) ),
    introduced(theory_axiom_147,[]) ).

tff(f561,plain,
    ( ! [X0: $real] : ~ $less($sum(X0,$uminus($sum(w,X0))),v)
    | ~ spl4_3
    | ~ spl4_8
    | ~ spl4_14
    | spl4_20 ),
    inference(superposition,[],[f545,f8]) ).

tff(f545,plain,
    ( ! [X0: $real] : ~ $less($sum(X0,$uminus($sum(X0,w))),v)
    | ~ spl4_3
    | ~ spl4_8
    | ~ spl4_14
    | spl4_20 ),
    inference(forward_demodulation,[],[f544,f8]) ).

tff(f544,plain,
    ( ! [X0: $real] : ~ $less($sum($uminus($sum(X0,w)),X0),v)
    | ~ spl4_3
    | ~ spl4_8
    | ~ spl4_14
    | spl4_20 ),
    inference(subsumption_resolution,[],[f542,f464]) ).

tff(f542,plain,
    ( ! [X0: $real] :
        ( $less(0.0,v)
        | ~ $less($sum($uminus($sum(X0,w)),X0),v) )
    | ~ spl4_3
    | ~ spl4_8
    | ~ spl4_14 ),
    inference(superposition,[],[f440,f68]) ).

tff(f440,plain,
    ( ! [X0: $real,X1: $real] :
        ( $less($sum(X0,$sum(X1,w)),v)
        | ~ $less($sum(X0,X1),v) )
    | ~ spl4_3
    | ~ spl4_8
    | ~ spl4_14 ),
    inference(superposition,[],[f429,f9]) ).

tff(f9,plain,
    ! [X2: $real,X0: $real,X1: $real] : ( $sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2) ),
    introduced(theory_axiom_144,[]) ).

tff(f845,plain,
    ( spl4_30
    | ~ spl4_2
    | ~ spl4_28 ),
    inference(avatar_split_clause,[],[f829,f822,f40,f843]) ).

tff(f843,plain,
    ( spl4_30
  <=> $less(v,w) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_30])]) ).

tff(f829,plain,
    ( $less(v,w)
    | ~ spl4_2
    | ~ spl4_28 ),
    inference(resolution,[],[f823,f93]) ).

tff(f827,plain,
    ( spl4_28
    | ~ spl4_29
    | ~ spl4_23 ),
    inference(avatar_split_clause,[],[f553,f497,f825,f822]) ).

tff(f553,plain,
    ( $less(v,0.0)
    | ~ $less(u,w)
    | ~ spl4_23 ),
    inference(superposition,[],[f129,f498]) ).

tff(f129,plain,
    ! [X0: $real,X1: $real] :
      ( $less($sum(X1,$uminus(X0)),0.0)
      | ~ $less(X1,X0) ),
    inference(superposition,[],[f16,f12]) ).

tff(f712,plain,
    ( spl4_27
    | ~ spl4_22
    | ~ spl4_3
    | ~ spl4_8
    | ~ spl4_14 ),
    inference(avatar_split_clause,[],[f468,f324,f65,f44,f478,f710]) ).

tff(f710,plain,
    ( spl4_27
  <=> ! [X0: $real] :
        ( $less(w,X0)
        | $less(X0,v) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_27])]) ).

tff(f478,plain,
    ( spl4_22
  <=> $less(1.0,v) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_22])]) ).

tff(f468,plain,
    ( ! [X0: $real] :
        ( $less(w,X0)
        | ~ $less(1.0,v)
        | $less(X0,v) )
    | ~ spl4_3
    | ~ spl4_8
    | ~ spl4_14 ),
    inference(resolution,[],[f436,f89]) ).

tff(f89,plain,
    ! [X0: $real,X1: $real] :
      ( $less(X1,$sum(1.0,X0))
      | $less(X0,X1) ),
    inference(superposition,[],[f17,f8]) ).

tff(f708,plain,
    ( ~ spl4_26
    | ~ spl4_3
    | ~ spl4_8
    | ~ spl4_14
    | ~ spl4_18
    | spl4_20 ),
    inference(avatar_split_clause,[],[f563,f446,f414,f324,f65,f44,f706]) ).

tff(f414,plain,
    ( spl4_18
  <=> ( u = $sum(v,w) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_18])]) ).

tff(f563,plain,
    ( ~ $less($sum(v,$uminus(u)),v)
    | ~ spl4_3
    | ~ spl4_8
    | ~ spl4_14
    | ~ spl4_18
    | spl4_20 ),
    inference(superposition,[],[f545,f415]) ).

tff(f415,plain,
    ( ( u = $sum(v,w) )
    | ~ spl4_18 ),
    inference(avatar_component_clause,[],[f414]) ).

tff(f704,plain,
    ( ~ spl4_25
    | ~ spl4_3
    | ~ spl4_8
    | ~ spl4_14
    | spl4_20 ),
    inference(avatar_split_clause,[],[f559,f446,f324,f65,f44,f702]) ).

tff(f702,plain,
    ( spl4_25
  <=> $less($uminus($sum(w,w)),v) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_25])]) ).

tff(f559,plain,
    ( ~ $less($uminus($sum(w,w)),v)
    | ~ spl4_3
    | ~ spl4_8
    | ~ spl4_14
    | spl4_20 ),
    inference(resolution,[],[f545,f437]) ).

tff(f437,plain,
    ( ! [X0: $real] :
        ( $less($sum(w,X0),v)
        | ~ $less(X0,v) )
    | ~ spl4_3
    | ~ spl4_8
    | ~ spl4_14 ),
    inference(superposition,[],[f429,f8]) ).

tff(f699,plain,
    ( ~ spl4_24
    | spl4_20
    | ~ spl4_23 ),
    inference(avatar_split_clause,[],[f558,f497,f446,f697]) ).

tff(f558,plain,
    ( ~ $less(w,u)
    | spl4_20
    | ~ spl4_23 ),
    inference(subsumption_resolution,[],[f554,f464]) ).

tff(f554,plain,
    ( ~ $less(w,u)
    | $less(0.0,v)
    | ~ spl4_23 ),
    inference(superposition,[],[f121,f498]) ).

tff(f121,plain,
    ! [X0: $real,X1: $real] :
      ( $less(0.0,$sum(X1,$uminus(X0)))
      | ~ $less(X0,X1) ),
    inference(superposition,[],[f16,f12]) ).

tff(f499,plain,
    ( spl4_23
    | ~ spl4_18 ),
    inference(avatar_split_clause,[],[f492,f414,f497]) ).

tff(f492,plain,
    ( ( v = $sum(u,$uminus(w)) )
    | ~ spl4_18 ),
    inference(evaluation,[],[f487]) ).

tff(f487,plain,
    ( ( $sum(u,$uminus(w)) = $sum(v,0.0) )
    | ~ spl4_18 ),
    inference(superposition,[],[f417,f12]) ).

tff(f417,plain,
    ( ! [X0: $real] : ( $sum(v,$sum(w,X0)) = $sum(u,X0) )
    | ~ spl4_18 ),
    inference(superposition,[],[f9,f415]) ).

tff(f480,plain,
    ( spl4_21
    | ~ spl4_22
    | ~ spl4_3
    | ~ spl4_8
    | ~ spl4_14 ),
    inference(avatar_split_clause,[],[f467,f324,f65,f44,f478,f462]) ).

tff(f467,plain,
    ( ~ $less(1.0,v)
    | $less(w,v)
    | ~ spl4_3
    | ~ spl4_8
    | ~ spl4_14 ),
    inference(resolution,[],[f436,f276]) ).

tff(f466,plain,
    ( spl4_20
    | ~ spl4_19
    | ~ spl4_3
    | ~ spl4_8
    | ~ spl4_14 ),
    inference(avatar_split_clause,[],[f460,f324,f65,f44,f443,f446]) ).

tff(f443,plain,
    ( spl4_19
  <=> $less($uminus(w),v) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_19])]) ).

tff(f460,plain,
    ( $less(0.0,v)
    | ~ $less($uminus(w),v)
    | ~ spl4_3
    | ~ spl4_8
    | ~ spl4_14 ),
    inference(superposition,[],[f437,f12]) ).

tff(f465,plain,
    ( spl4_21
    | ~ spl4_20
    | ~ spl4_3
    | ~ spl4_8
    | ~ spl4_14 ),
    inference(avatar_split_clause,[],[f458,f324,f65,f44,f446,f462]) ).

tff(f458,plain,
    ( $less(w,v)
    | ~ $less(0.0,v)
    | ~ spl4_3
    | ~ spl4_8
    | ~ spl4_14 ),
    inference(superposition,[],[f437,f10]) ).

tff(f10,plain,
    ! [X0: $real] : ( $sum(X0,0.0) = X0 ),
    introduced(theory_axiom_145,[]) ).

tff(f448,plain,
    ( ~ spl4_19
    | spl4_20
    | ~ spl4_3
    | ~ spl4_8
    | ~ spl4_14 ),
    inference(avatar_split_clause,[],[f441,f324,f65,f44,f446,f443]) ).

tff(f441,plain,
    ( $less(0.0,v)
    | ~ $less($uminus(w),v)
    | ~ spl4_3
    | ~ spl4_8
    | ~ spl4_14 ),
    inference(superposition,[],[f429,f68]) ).

tff(f416,plain,
    ( spl4_18
    | ~ spl4_8
    | ~ spl4_14 ),
    inference(avatar_split_clause,[],[f384,f324,f65,f414]) ).

tff(f384,plain,
    ( ( u = $sum(v,w) )
    | ~ spl4_8
    | ~ spl4_14 ),
    inference(backward_demodulation,[],[f66,f325]) ).

tff(f412,plain,
    ( spl4_16
    | ~ spl4_9
    | ~ spl4_14 ),
    inference(avatar_split_clause,[],[f387,f324,f181,f330]) ).

tff(f330,plain,
    ( spl4_16
  <=> $less(u,sF2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_16])]) ).

tff(f181,plain,
    ( spl4_9
  <=> $less(sF3,sF2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_9])]) ).

tff(f387,plain,
    ( $less(u,sF2)
    | ~ spl4_9
    | ~ spl4_14 ),
    inference(backward_demodulation,[],[f182,f325]) ).

tff(f182,plain,
    ( $less(sF3,sF2)
    | ~ spl4_9 ),
    inference(avatar_component_clause,[],[f181]) ).

tff(f410,plain,
    ( ~ spl4_17
    | spl4_1
    | ~ spl4_14 ),
    inference(avatar_split_clause,[],[f383,f324,f36,f408]) ).

tff(f408,plain,
    ( spl4_17
  <=> $less(sF2,u) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_17])]) ).

tff(f36,plain,
    ( spl4_1
  <=> $less(sF2,sF3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).

tff(f383,plain,
    ( ~ $less(sF2,u)
    | spl4_1
    | ~ spl4_14 ),
    inference(backward_demodulation,[],[f37,f325]) ).

tff(f37,plain,
    ( ~ $less(sF2,sF3)
    | spl4_1 ),
    inference(avatar_component_clause,[],[f36]) ).

tff(f332,plain,
    ( spl4_14
    | spl4_15
    | spl4_16
    | ~ spl4_3
    | ~ spl4_9 ),
    inference(avatar_split_clause,[],[f303,f181,f44,f330,f327,f324]) ).

tff(f327,plain,
    ( spl4_15
  <=> $less(sF3,v) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_15])]) ).

tff(f303,plain,
    ( $less(u,sF2)
    | $less(sF3,v)
    | ( u = sF3 )
    | ~ spl4_3
    | ~ spl4_9 ),
    inference(resolution,[],[f94,f211]) ).

tff(f211,plain,
    ( ! [X0: $real] :
        ( $less(sF3,X0)
        | $less(X0,sF2)
        | ( sF3 = X0 ) )
    | ~ spl4_9 ),
    inference(resolution,[],[f187,f15]) ).

tff(f187,plain,
    ( ! [X0: $real] :
        ( ~ $less(X0,sF3)
        | $less(X0,sF2) )
    | ~ spl4_9 ),
    inference(resolution,[],[f182,f14]) ).

tff(f298,plain,
    ( spl4_11
    | spl4_12
    | spl4_13
    | ~ spl4_2
    | ~ spl4_9 ),
    inference(avatar_split_clause,[],[f288,f181,f40,f296,f293,f290]) ).

tff(f293,plain,
    ( spl4_12
  <=> $less(sF3,w) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_12])]) ).

tff(f296,plain,
    ( spl4_13
  <=> ( 0.0 = sF3 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_13])]) ).

tff(f288,plain,
    ( ( 0.0 = sF3 )
    | $less(sF3,w)
    | $less(0.0,sF2)
    | ~ spl4_2
    | ~ spl4_9 ),
    inference(resolution,[],[f93,f211]) ).

tff(f186,plain,
    ( spl4_9
    | spl4_10
    | spl4_1 ),
    inference(avatar_split_clause,[],[f96,f36,f184,f181]) ).

tff(f184,plain,
    ( spl4_10
  <=> ( sF2 = sF3 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_10])]) ).

tff(f96,plain,
    ( ( sF2 = sF3 )
    | $less(sF3,sF2)
    | spl4_1 ),
    inference(resolution,[],[f15,f37]) ).

tff(f67,plain,
    spl4_8,
    inference(avatar_split_clause,[],[f33,f65]) ).

tff(f33,plain,
    $sum(v,w) = sF3,
    introduced(function_definition,[new_symbols(definition,[sF3])]) ).

tff(f63,plain,
    spl4_7,
    inference(avatar_split_clause,[],[f32,f61]) ).

tff(f32,plain,
    $sum(u,sF1) = sF2,
    introduced(function_definition,[new_symbols(definition,[sF2])]) ).

tff(f59,plain,
    spl4_6,
    inference(avatar_split_clause,[],[f31,f57]) ).

tff(f57,plain,
    ( spl4_6
  <=> ( $product(w,sF0) = sF1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_6])]) ).

tff(f31,plain,
    $product(w,sF0) = sF1,
    introduced(function_definition,[new_symbols(definition,[sF1])]) ).

tff(f55,plain,
    ( ~ spl4_5
    | ~ spl4_4 ),
    inference(avatar_split_clause,[],[f51,f48,f53]) ).

tff(f53,plain,
    ( spl4_5
  <=> $less(1.0,sF0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_5])]) ).

tff(f48,plain,
    ( spl4_4
  <=> ( f(x) = sF0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_4])]) ).

tff(f51,plain,
    ( ~ $less(1.0,sF0)
    | ~ spl4_4 ),
    inference(superposition,[],[f26,f49]) ).

tff(f49,plain,
    ( ( f(x) = sF0 )
    | ~ spl4_4 ),
    inference(avatar_component_clause,[],[f48]) ).

tff(f26,plain,
    ! [X0: $real] : ~ $less(1.0,f(X0)),
    inference(cnf_transformation,[],[f6]) ).

tff(f6,plain,
    ! [X0: $real] : ~ $less(1.0,f(X0)),
    inference(theory_normalization,[],[f1]) ).

tff(f1,axiom,
    ! [X0: $real] : $lesseq(f(X0),1.0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

tff(f50,plain,
    spl4_4,
    inference(avatar_split_clause,[],[f30,f48]) ).

tff(f30,plain,
    f(x) = sF0,
    introduced(function_definition,[new_symbols(definition,[sF0])]) ).

tff(f46,plain,
    spl4_3,
    inference(avatar_split_clause,[],[f29,f44]) ).

tff(f29,plain,
    $less(u,v),
    inference(cnf_transformation,[],[f2]) ).

tff(f2,axiom,
    $less(u,v),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

tff(f42,plain,
    spl4_2,
    inference(avatar_split_clause,[],[f28,f40]) ).

tff(f28,plain,
    $less(0.0,w),
    inference(cnf_transformation,[],[f7]) ).

tff(f7,plain,
    $less(0.0,w),
    inference(theory_normalization,[],[f3]) ).

tff(f3,axiom,
    $greater(w,0.0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

tff(f38,plain,
    ~ spl4_1,
    inference(avatar_split_clause,[],[f34,f36]) ).

tff(f34,plain,
    ~ $less(sF2,sF3),
    inference(definition_folding,[],[f27,f33,f32,f31,f30]) ).

tff(f27,plain,
    ~ $less($sum(u,$product(w,f(x))),$sum(v,w)),
    inference(cnf_transformation,[],[f25]) ).

tff(f25,plain,
    ~ $less($sum(u,$product(w,f(x))),$sum(v,w)),
    inference(flattening,[],[f5]) ).

tff(f5,negated_conjecture,
    ~ $less($sum(u,$product(w,f(x))),$sum(v,w)),
    inference(negated_conjecture,[],[f4]) ).

tff(f4,conjecture,
    $less($sum(u,$product(w,f(x))),$sum(v,w)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : ARI633_1 : TPTP v8.2.0. Released v6.3.0.
% 0.07/0.12  % Command    : run_vampire %s %d THM
% 0.11/0.33  % Computer : n029.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit   : 300
% 0.11/0.33  % WCLimit    : 300
% 0.11/0.33  % DateTime   : Fri Jun 21 04:59:54 EDT 2024
% 0.11/0.33  % CPUTime    : 
% 0.11/0.35  This is a TF0_THM_NEQ_ARI problem
% 0.11/0.35  Running first-order theorem proving
% 0.11/0.35  Running /export/starexec/sandbox2/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.43  % (5822)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.43  % (5824)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 (3000ds/34Mi)
% 0.21/0.43  % (5822)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.43  % (5827)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 (3000ds/37Mi)
% 0.21/0.43  % (5822)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.43  % (5829)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 (3000ds/32Mi)
% 0.21/0.44  % (5822)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.44  % (5828)lrs+10_1:32_s2a=on:s2agt=10:sgt=8:ss=axioms:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/15Mi)
% 0.21/0.44  % (5822)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.44  % (5826)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 (3000ds/2Mi)
% 0.21/0.44  % (5822)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.44  % (5825)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 (3000ds/8Mi)
% 0.21/0.44  % (5826)Instruction limit reached!
% 0.21/0.44  % (5826)------------------------------
% 0.21/0.44  % (5826)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.44  % (5826)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.44  % (5826)Termination reason: Time limit
% 0.21/0.44  % (5826)Termination phase: Saturation
% 0.21/0.44  
% 0.21/0.44  % (5826)Memory used [KB]: 844
% 0.21/0.44  % (5826)Time elapsed: 0.003 s
% 0.21/0.44  % (5826)Instructions burned: 2 (million)
% 0.21/0.44  % (5822)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.44  % (5823)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 (3000ds/59848Mi)
% 0.21/0.44  % (5825)Instruction limit reached!
% 0.21/0.44  % (5825)------------------------------
% 0.21/0.44  % (5825)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.44  % (5825)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.44  % (5825)Termination reason: Time limit
% 0.21/0.44  % (5825)Termination phase: Saturation
% 0.21/0.44  
% 0.21/0.44  % (5825)Memory used [KB]: 875
% 0.21/0.44  % (5825)Time elapsed: 0.007 s
% 0.21/0.44  % (5825)Instructions burned: 8 (million)
% 0.21/0.45  % (5828)Instruction limit reached!
% 0.21/0.45  % (5828)------------------------------
% 0.21/0.45  % (5828)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.45  % (5828)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.45  % (5828)Termination reason: Time limit
% 0.21/0.45  % (5828)Termination phase: Saturation
% 0.21/0.45  
% 0.21/0.45  % (5828)Memory used [KB]: 907
% 0.21/0.45  % (5828)Time elapsed: 0.012 s
% 0.21/0.45  % (5828)Instructions burned: 16 (million)
% 0.21/0.45  % (5824)Instruction limit reached!
% 0.21/0.45  % (5824)------------------------------
% 0.21/0.45  % (5824)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.45  % (5824)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.45  % (5824)Termination reason: Time limit
% 0.21/0.45  % (5824)Termination phase: Saturation
% 0.21/0.45  
% 0.21/0.45  % (5824)Memory used [KB]: 1045
% 0.21/0.45  % (5824)Time elapsed: 0.027 s
% 0.21/0.45  % (5824)Instructions burned: 35 (million)
% 0.21/0.45  % (5829)Instruction limit reached!
% 0.21/0.45  % (5829)------------------------------
% 0.21/0.45  % (5829)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.45  % (5829)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.45  % (5829)Termination reason: Time limit
% 0.21/0.45  % (5829)Termination phase: Saturation
% 0.21/0.45  
% 0.21/0.45  % (5829)Memory used [KB]: 1083
% 0.21/0.45  % (5829)Time elapsed: 0.020 s
% 0.21/0.45  % (5829)Instructions burned: 33 (million)
% 0.21/0.45  % (5827)Instruction limit reached!
% 0.21/0.45  % (5827)------------------------------
% 0.21/0.45  % (5827)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.45  % (5827)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.45  % (5827)Termination reason: Time limit
% 0.21/0.45  % (5827)Termination phase: Saturation
% 0.21/0.45  
% 0.21/0.45  % (5827)Memory used [KB]: 1135
% 0.21/0.45  % (5827)Time elapsed: 0.025 s
% 0.21/0.45  % (5827)Instructions burned: 37 (million)
% 0.21/0.49  % (5822)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.49  % (5835)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)
% 0.21/0.49  % (5835)Instruction limit reached!
% 0.21/0.49  % (5835)------------------------------
% 0.21/0.49  % (5835)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.49  % (5835)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.49  % (5835)Termination reason: Time limit
% 0.21/0.49  % (5835)Termination phase: Saturation
% 0.21/0.49  
% 0.21/0.49  % (5835)Memory used [KB]: 748
% 0.21/0.49  % (5835)Time elapsed: 0.002 s
% 0.21/0.49  % (5835)Instructions burned: 2 (million)
% 0.21/0.50  % (5822)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.50  % (5836)lrs+10_1:1_canc=force:tha=some:to=lpo:i=35:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/35Mi)
% 0.21/0.50  % (5822)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.50  % (5833)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)
% 0.21/0.51  % (5822)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.51  % (5834)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)
% 0.21/0.51  % (5822)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.51  % (5838)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)
% 0.21/0.52  % (5822)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.52  % (5837)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)
% 0.21/0.52  % (5838)Instruction limit reached!
% 0.21/0.52  % (5838)------------------------------
% 0.21/0.52  % (5838)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.52  % (5838)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.52  % (5838)Termination reason: Time limit
% 0.21/0.52  % (5838)Termination phase: Saturation
% 0.21/0.52  
% 0.21/0.52  % (5838)Memory used [KB]: 765
% 0.21/0.52  % (5838)Time elapsed: 0.003 s
% 0.21/0.52  % (5838)Instructions burned: 2 (million)
% 0.21/0.52  % (5837)Instruction limit reached!
% 0.21/0.52  % (5837)------------------------------
% 0.21/0.52  % (5837)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.52  % (5837)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.52  % (5837)Termination reason: Time limit
% 0.21/0.52  % (5837)Termination phase: Saturation
% 0.21/0.52  
% 0.21/0.52  % (5837)Memory used [KB]: 856
% 0.21/0.52  % (5837)Time elapsed: 0.005 s
% 0.21/0.52  % (5837)Instructions burned: 5 (million)
% 1.24/0.52  % (5836)Instruction limit reached!
% 1.24/0.52  % (5836)------------------------------
% 1.24/0.52  % (5836)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.24/0.52  % (5836)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.24/0.52  % (5836)Termination reason: Time limit
% 1.24/0.52  % (5836)Termination phase: Saturation
% 1.24/0.52  
% 1.24/0.52  % (5836)Memory used [KB]: 947
% 1.24/0.52  % (5836)Time elapsed: 0.023 s
% 1.24/0.52  % (5836)Instructions burned: 36 (million)
% 1.24/0.53  % (5834)Instruction limit reached!
% 1.24/0.53  % (5834)------------------------------
% 1.24/0.53  % (5834)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.24/0.53  % (5834)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.24/0.53  % (5834)Termination reason: Time limit
% 1.24/0.53  % (5834)Termination phase: Saturation
% 1.24/0.53  
% 1.24/0.53  % (5834)Memory used [KB]: 1037
% 1.24/0.53  % (5834)Time elapsed: 0.018 s
% 1.24/0.53  % (5834)Instructions burned: 26 (million)
% 1.24/0.53  % (5833)Instruction limit reached!
% 1.24/0.53  % (5833)------------------------------
% 1.24/0.53  % (5833)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.24/0.53  % (5833)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.24/0.53  % (5833)Termination reason: Time limit
% 1.24/0.53  % (5833)Termination phase: Saturation
% 1.24/0.53  
% 1.24/0.53  % (5833)Memory used [KB]: 1096
% 1.24/0.53  % (5833)Time elapsed: 0.025 s
% 1.24/0.53  % (5833)Instructions burned: 36 (million)
% 1.36/0.54  % (5822)Running in auto input_syntax mode. Trying TPTP
% 1.36/0.54  % (5840)dis+10_1:64_nwc=1.4:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/21Mi)
% 1.36/0.55  % (5840)Refutation not found, incomplete strategy% (5840)------------------------------
% 1.36/0.55  % (5840)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.36/0.55  % (5840)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.36/0.55  % (5840)Termination reason: Refutation not found, incomplete strategy
% 1.36/0.55  
% 1.36/0.55  % (5840)Memory used [KB]: 741
% 1.36/0.55  % (5840)Time elapsed: 0.003 s
% 1.36/0.55  % (5840)Instructions burned: 1 (million)
% 1.36/0.55  % (5840)------------------------------
% 1.36/0.55  % (5840)------------------------------
% 1.36/0.55  % (5823)First to succeed.
% 1.36/0.56  % (5823)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-5822"
% 1.36/0.56  % (5822)Running in auto input_syntax mode. Trying TPTP
% 1.36/0.56  % (5823)Refutation found. Thanks to Tanya!
% 1.36/0.56  % SZS status Theorem for theBenchmark
% 1.36/0.56  % SZS output start Proof for theBenchmark
% See solution above
% 1.36/0.56  % (5823)------------------------------
% 1.36/0.56  % (5823)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.36/0.56  % (5823)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.36/0.56  % (5823)Termination reason: Refutation
% 1.36/0.56  
% 1.36/0.56  % (5823)Memory used [KB]: 1393
% 1.36/0.56  % (5823)Time elapsed: 0.116 s
% 1.36/0.56  % (5823)Instructions burned: 228 (million)
% 1.36/0.56  % (5823)------------------------------
% 1.36/0.56  % (5823)------------------------------
% 1.36/0.56  % (5822)Success in time 0.193 s
%------------------------------------------------------------------------------