TSTP Solution File: SYN036-3 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYN036-3 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s

% Computer : n015.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 : Fri Sep  1 03:37:05 EDT 2023

% Result   : Unsatisfiable 0.23s 0.45s
% Output   : Refutation 0.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   89
% Syntax   : Number of formulae    :  278 (   5 unt;   0 def)
%            Number of atoms       :  757 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  896 ( 417   ~; 426   |;   0   &)
%                                         (  53 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   66 (  65 usr;  62 prp; 0-1 aty)
%            Number of functors    :    8 (   8 usr;   6 con; 0-1 aty)
%            Number of variables   :  115 (; 115   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f358,plain,
    $false,
    inference(avatar_sat_refutation,[],[f52,f56,f64,f68,f76,f80,f88,f92,f101,f106,f115,f120,f129,f138,f139,f144,f145,f150,f154,f158,f163,f168,f169,f170,f171,f172,f173,f174,f178,f182,f186,f190,f191,f192,f193,f194,f195,f196,f197,f198,f204,f208,f213,f215,f217,f220,f224,f226,f231,f233,f236,f240,f242,f247,f254,f255,f259,f262,f263,f268,f274,f275,f278,f279,f281,f285,f289,f290,f293,f295,f301,f308,f309,f311,f314,f316,f318,f320,f322,f325,f329,f331,f333,f335,f341,f343,f345,f351,f355,f357]) ).

fof(f357,plain,
    ( ~ spl4_21
    | ~ spl4_3
    | spl4_49 ),
    inference(avatar_split_clause,[],[f356,f348,f54,f131]) ).

fof(f131,plain,
    ( spl4_21
  <=> n5(s6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_21])]) ).

fof(f54,plain,
    ( spl4_3
  <=> ! [X3] :
        ( ~ n5(X3)
        | q(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_3])]) ).

fof(f348,plain,
    ( spl4_49
  <=> q(s6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_49])]) ).

fof(f356,plain,
    ( ~ n5(s6)
    | ~ spl4_3
    | spl4_49 ),
    inference(resolution,[],[f350,f55]) ).

fof(f55,plain,
    ( ! [X3] :
        ( q(X3)
        | ~ n5(X3) )
    | ~ spl4_3 ),
    inference(avatar_component_clause,[],[f54]) ).

fof(f350,plain,
    ( ~ q(s6)
    | spl4_49 ),
    inference(avatar_component_clause,[],[f348]) ).

fof(f355,plain,
    ( spl4_2
    | ~ spl4_6
    | ~ spl4_42 ),
    inference(avatar_split_clause,[],[f354,f266,f66,f50]) ).

fof(f50,plain,
    ( spl4_2
  <=> ! [X4] : ~ q(X4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).

fof(f66,plain,
    ( spl4_6
  <=> ! [X3] :
        ( ~ n5(X3)
        | ~ q(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_6])]) ).

fof(f266,plain,
    ( spl4_42
  <=> ! [X3] :
        ( ~ q(X3)
        | n5(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_42])]) ).

fof(f354,plain,
    ( ! [X0] : ~ q(X0)
    | ~ spl4_6
    | ~ spl4_42 ),
    inference(duplicate_literal_removal,[],[f353]) ).

fof(f353,plain,
    ( ! [X0] :
        ( ~ q(X0)
        | ~ q(X0) )
    | ~ spl4_6
    | ~ spl4_42 ),
    inference(resolution,[],[f267,f67]) ).

fof(f67,plain,
    ( ! [X3] :
        ( ~ n5(X3)
        | ~ q(X3) )
    | ~ spl4_6 ),
    inference(avatar_component_clause,[],[f66]) ).

fof(f267,plain,
    ( ! [X3] :
        ( n5(X3)
        | ~ q(X3) )
    | ~ spl4_42 ),
    inference(avatar_component_clause,[],[f266]) ).

fof(f351,plain,
    ( ~ spl4_49
    | ~ spl4_6
    | ~ spl4_21 ),
    inference(avatar_split_clause,[],[f346,f131,f66,f348]) ).

fof(f346,plain,
    ( ~ q(s6)
    | ~ spl4_6
    | ~ spl4_21 ),
    inference(resolution,[],[f67,f133]) ).

fof(f133,plain,
    ( n5(s6)
    | ~ spl4_21 ),
    inference(avatar_component_clause,[],[f131]) ).

fof(f345,plain,
    ( spl4_42
    | ~ spl4_34
    | ~ spl4_38 ),
    inference(avatar_split_clause,[],[f344,f238,f206,f266]) ).

fof(f206,plain,
    ( spl4_34
  <=> ! [X3] :
        ( ~ q(X3)
        | ~ q(s5(X3)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_34])]) ).

fof(f238,plain,
    ( spl4_38
  <=> ! [X3] :
        ( n5(X3)
        | q(s5(X3)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_38])]) ).

fof(f344,plain,
    ( ! [X3] :
        ( ~ q(X3)
        | n5(X3) )
    | ~ spl4_34
    | ~ spl4_38 ),
    inference(forward_literal_rewriting,[],[f239,f207]) ).

fof(f207,plain,
    ( ! [X3] :
        ( ~ q(X3)
        | ~ q(s5(X3)) )
    | ~ spl4_34 ),
    inference(avatar_component_clause,[],[f206]) ).

fof(f239,plain,
    ( ! [X3] :
        ( n5(X3)
        | q(s5(X3)) )
    | ~ spl4_38 ),
    inference(avatar_component_clause,[],[f238]) ).

fof(f343,plain,
    ( ~ spl4_40
    | spl4_48 ),
    inference(avatar_contradiction_clause,[],[f342]) ).

fof(f342,plain,
    ( $false
    | ~ spl4_40
    | spl4_48 ),
    inference(resolution,[],[f340,f253]) ).

fof(f253,plain,
    ( ! [X3] : n5(X3)
    | ~ spl4_40 ),
    inference(avatar_component_clause,[],[f252]) ).

fof(f252,plain,
    ( spl4_40
  <=> ! [X3] : n5(X3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_40])]) ).

fof(f340,plain,
    ( ~ n5(s4)
    | spl4_48 ),
    inference(avatar_component_clause,[],[f338]) ).

fof(f338,plain,
    ( spl4_48
  <=> n5(s4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_48])]) ).

fof(f341,plain,
    ( ~ spl4_48
    | ~ spl4_3
    | spl4_23 ),
    inference(avatar_split_clause,[],[f336,f141,f54,f338]) ).

fof(f141,plain,
    ( spl4_23
  <=> q(s4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_23])]) ).

fof(f336,plain,
    ( ~ n5(s4)
    | ~ spl4_3
    | spl4_23 ),
    inference(resolution,[],[f55,f143]) ).

fof(f143,plain,
    ( ~ q(s4)
    | spl4_23 ),
    inference(avatar_component_clause,[],[f141]) ).

fof(f335,plain,
    ( ~ spl4_11
    | ~ spl4_47 ),
    inference(avatar_contradiction_clause,[],[f334]) ).

fof(f334,plain,
    ( $false
    | ~ spl4_11
    | ~ spl4_47 ),
    inference(resolution,[],[f328,f87]) ).

fof(f87,plain,
    ( ! [X8] : ~ p(X8)
    | ~ spl4_11 ),
    inference(avatar_component_clause,[],[f86]) ).

fof(f86,plain,
    ( spl4_11
  <=> ! [X8] : ~ p(X8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_11])]) ).

fof(f328,plain,
    ( ! [X3] : p(s1(X3))
    | ~ spl4_47 ),
    inference(avatar_component_clause,[],[f327]) ).

fof(f327,plain,
    ( spl4_47
  <=> ! [X3] : p(s1(X3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_47])]) ).

fof(f333,plain,
    ( ~ spl4_44
    | spl4_46 ),
    inference(avatar_contradiction_clause,[],[f332]) ).

fof(f332,plain,
    ( $false
    | ~ spl4_44
    | spl4_46 ),
    inference(resolution,[],[f307,f288]) ).

fof(f288,plain,
    ( ! [X3] : n1(X3)
    | ~ spl4_44 ),
    inference(avatar_component_clause,[],[f287]) ).

fof(f287,plain,
    ( spl4_44
  <=> ! [X3] : n1(X3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_44])]) ).

fof(f307,plain,
    ( ~ n1(s8)
    | spl4_46 ),
    inference(avatar_component_clause,[],[f305]) ).

fof(f305,plain,
    ( spl4_46
  <=> n1(s8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_46])]) ).

fof(f331,plain,
    ( ~ spl4_2
    | ~ spl4_5 ),
    inference(avatar_contradiction_clause,[],[f330]) ).

fof(f330,plain,
    ( $false
    | ~ spl4_2
    | ~ spl4_5 ),
    inference(subsumption_resolution,[],[f63,f51]) ).

fof(f51,plain,
    ( ! [X4] : ~ q(X4)
    | ~ spl4_2 ),
    inference(avatar_component_clause,[],[f50]) ).

fof(f63,plain,
    ( ! [X4] : q(X4)
    | ~ spl4_5 ),
    inference(avatar_component_clause,[],[f62]) ).

fof(f62,plain,
    ( spl4_5
  <=> ! [X4] : q(X4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_5])]) ).

fof(f329,plain,
    ( spl4_47
    | ~ spl4_11
    | ~ spl4_39 ),
    inference(avatar_split_clause,[],[f323,f245,f86,f327]) ).

fof(f245,plain,
    ( spl4_39
  <=> ! [X3] :
        ( p(X3)
        | p(s1(X3)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_39])]) ).

fof(f323,plain,
    ( ! [X3] : p(s1(X3))
    | ~ spl4_11
    | ~ spl4_39 ),
    inference(subsumption_resolution,[],[f246,f87]) ).

fof(f246,plain,
    ( ! [X3] :
        ( p(X3)
        | p(s1(X3)) )
    | ~ spl4_39 ),
    inference(avatar_component_clause,[],[f245]) ).

fof(f325,plain,
    ( ~ spl4_11
    | ~ spl4_45 ),
    inference(avatar_contradiction_clause,[],[f324]) ).

fof(f324,plain,
    ( $false
    | ~ spl4_11
    | ~ spl4_45 ),
    inference(subsumption_resolution,[],[f299,f87]) ).

fof(f299,plain,
    ( p(s2)
    | ~ spl4_45 ),
    inference(avatar_component_clause,[],[f298]) ).

fof(f298,plain,
    ( spl4_45
  <=> p(s2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_45])]) ).

fof(f322,plain,
    ( ~ spl4_26
    | ~ spl4_44 ),
    inference(avatar_contradiction_clause,[],[f321]) ).

fof(f321,plain,
    ( $false
    | ~ spl4_26
    | ~ spl4_44 ),
    inference(subsumption_resolution,[],[f157,f288]) ).

fof(f157,plain,
    ( ! [X7] : ~ n1(X7)
    | ~ spl4_26 ),
    inference(avatar_component_clause,[],[f156]) ).

fof(f156,plain,
    ( spl4_26
  <=> ! [X7] : ~ n1(X7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_26])]) ).

fof(f320,plain,
    ( ~ spl4_5
    | ~ spl4_41 ),
    inference(avatar_contradiction_clause,[],[f319]) ).

fof(f319,plain,
    ( $false
    | ~ spl4_5
    | ~ spl4_41 ),
    inference(subsumption_resolution,[],[f258,f63]) ).

fof(f258,plain,
    ( ! [X3] : ~ q(s5(X3))
    | ~ spl4_41 ),
    inference(avatar_component_clause,[],[f257]) ).

fof(f257,plain,
    ( spl4_41
  <=> ! [X3] : ~ q(s5(X3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_41])]) ).

fof(f318,plain,
    ( ~ spl4_25
    | ~ spl4_40 ),
    inference(avatar_contradiction_clause,[],[f317]) ).

fof(f317,plain,
    ( $false
    | ~ spl4_25
    | ~ spl4_40 ),
    inference(subsumption_resolution,[],[f153,f253]) ).

fof(f153,plain,
    ( ! [X2] : ~ n5(X2)
    | ~ spl4_25 ),
    inference(avatar_component_clause,[],[f152]) ).

fof(f152,plain,
    ( spl4_25
  <=> ! [X2] : ~ n5(X2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_25])]) ).

fof(f316,plain,
    ( spl4_5
    | ~ spl4_33
    | ~ spl4_41 ),
    inference(avatar_split_clause,[],[f315,f257,f202,f62]) ).

fof(f202,plain,
    ( spl4_33
  <=> ! [X3] :
        ( q(X3)
        | q(s5(X3)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_33])]) ).

fof(f315,plain,
    ( ! [X3] : q(X3)
    | ~ spl4_33
    | ~ spl4_41 ),
    inference(subsumption_resolution,[],[f203,f258]) ).

fof(f203,plain,
    ( ! [X3] :
        ( q(X3)
        | q(s5(X3)) )
    | ~ spl4_33 ),
    inference(avatar_component_clause,[],[f202]) ).

fof(f314,plain,
    ( spl4_5
    | ~ spl4_2
    | ~ spl4_33 ),
    inference(avatar_split_clause,[],[f313,f202,f50,f62]) ).

fof(f313,plain,
    ( ! [X3] : q(X3)
    | ~ spl4_2
    | ~ spl4_33 ),
    inference(subsumption_resolution,[],[f203,f51]) ).

fof(f311,plain,
    ( spl4_2
    | ~ spl4_34
    | ~ spl4_43 ),
    inference(avatar_split_clause,[],[f310,f272,f206,f50]) ).

fof(f272,plain,
    ( spl4_43
  <=> ! [X3] : q(s5(X3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_43])]) ).

fof(f310,plain,
    ( ! [X3] : ~ q(X3)
    | ~ spl4_34
    | ~ spl4_43 ),
    inference(forward_literal_rewriting,[],[f273,f207]) ).

fof(f273,plain,
    ( ! [X3] : q(s5(X3))
    | ~ spl4_43 ),
    inference(avatar_component_clause,[],[f272]) ).

fof(f309,plain,
    ( ~ spl4_19
    | ~ spl4_12
    | spl4_45 ),
    inference(avatar_split_clause,[],[f303,f298,f90,f122]) ).

fof(f122,plain,
    ( spl4_19
  <=> n1(s2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_19])]) ).

fof(f90,plain,
    ( spl4_12
  <=> ! [X3] :
        ( ~ n1(X3)
        | p(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_12])]) ).

fof(f303,plain,
    ( ~ n1(s2)
    | ~ spl4_12
    | spl4_45 ),
    inference(resolution,[],[f91,f300]) ).

fof(f300,plain,
    ( ~ p(s2)
    | spl4_45 ),
    inference(avatar_component_clause,[],[f298]) ).

fof(f91,plain,
    ( ! [X3] :
        ( p(X3)
        | ~ n1(X3) )
    | ~ spl4_12 ),
    inference(avatar_component_clause,[],[f90]) ).

fof(f308,plain,
    ( ~ spl4_46
    | ~ spl4_12
    | spl4_24 ),
    inference(avatar_split_clause,[],[f302,f147,f90,f305]) ).

fof(f147,plain,
    ( spl4_24
  <=> p(s8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_24])]) ).

fof(f302,plain,
    ( ~ n1(s8)
    | ~ spl4_12
    | spl4_24 ),
    inference(resolution,[],[f91,f149]) ).

fof(f149,plain,
    ( ~ p(s8)
    | spl4_24 ),
    inference(avatar_component_clause,[],[f147]) ).

fof(f301,plain,
    ( ~ spl4_45
    | ~ spl4_9
    | ~ spl4_19 ),
    inference(avatar_split_clause,[],[f296,f122,f78,f298]) ).

fof(f78,plain,
    ( spl4_9
  <=> ! [X3] :
        ( ~ n1(X3)
        | ~ p(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_9])]) ).

fof(f296,plain,
    ( ~ p(s2)
    | ~ spl4_9
    | ~ spl4_19 ),
    inference(resolution,[],[f79,f124]) ).

fof(f124,plain,
    ( n1(s2)
    | ~ spl4_19 ),
    inference(avatar_component_clause,[],[f122]) ).

fof(f79,plain,
    ( ! [X3] :
        ( ~ n1(X3)
        | ~ p(X3) )
    | ~ spl4_9 ),
    inference(avatar_component_clause,[],[f78]) ).

fof(f295,plain,
    ( spl4_5
    | ~ spl4_33
    | ~ spl4_41 ),
    inference(avatar_split_clause,[],[f294,f257,f202,f62]) ).

fof(f294,plain,
    ( ! [X3] : q(X3)
    | ~ spl4_33
    | ~ spl4_41 ),
    inference(subsumption_resolution,[],[f203,f258]) ).

fof(f293,plain,
    ( spl4_11
    | ~ spl4_26
    | ~ spl4_35
    | ~ spl4_36 ),
    inference(avatar_split_clause,[],[f292,f222,f211,f156,f86]) ).

fof(f211,plain,
    ( spl4_35
  <=> ! [X3] :
        ( n1(X3)
        | p(s1(X3)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_35])]) ).

fof(f222,plain,
    ( spl4_36
  <=> ! [X3] :
        ( ~ p(X3)
        | ~ p(s1(X3)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_36])]) ).

fof(f292,plain,
    ( ! [X3] : ~ p(X3)
    | ~ spl4_26
    | ~ spl4_35
    | ~ spl4_36 ),
    inference(forward_literal_rewriting,[],[f291,f223]) ).

fof(f223,plain,
    ( ! [X3] :
        ( ~ p(X3)
        | ~ p(s1(X3)) )
    | ~ spl4_36 ),
    inference(avatar_component_clause,[],[f222]) ).

fof(f291,plain,
    ( ! [X3] : p(s1(X3))
    | ~ spl4_26
    | ~ spl4_35 ),
    inference(subsumption_resolution,[],[f212,f157]) ).

fof(f212,plain,
    ( ! [X3] :
        ( n1(X3)
        | p(s1(X3)) )
    | ~ spl4_35 ),
    inference(avatar_component_clause,[],[f211]) ).

fof(f290,plain,
    ( spl4_26
    | ~ spl4_11
    | ~ spl4_12 ),
    inference(avatar_split_clause,[],[f282,f90,f86,f156]) ).

fof(f282,plain,
    ( ! [X3] : ~ n1(X3)
    | ~ spl4_11
    | ~ spl4_12 ),
    inference(subsumption_resolution,[],[f91,f87]) ).

fof(f289,plain,
    ( spl4_44
    | ~ spl4_11
    | ~ spl4_35 ),
    inference(avatar_split_clause,[],[f284,f211,f86,f287]) ).

fof(f284,plain,
    ( ! [X3] : n1(X3)
    | ~ spl4_11
    | ~ spl4_35 ),
    inference(subsumption_resolution,[],[f212,f87]) ).

fof(f285,plain,
    ( ~ spl4_11
    | ~ spl4_16 ),
    inference(avatar_contradiction_clause,[],[f283]) ).

fof(f283,plain,
    ( $false
    | ~ spl4_11
    | ~ spl4_16 ),
    inference(subsumption_resolution,[],[f110,f87]) ).

fof(f110,plain,
    ( p(s7)
    | ~ spl4_16 ),
    inference(avatar_component_clause,[],[f108]) ).

fof(f108,plain,
    ( spl4_16
  <=> p(s7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_16])]) ).

fof(f281,plain,
    ( spl4_39
    | ~ spl4_12
    | ~ spl4_31 ),
    inference(avatar_split_clause,[],[f280,f184,f90,f245]) ).

fof(f184,plain,
    ( spl4_31
  <=> ! [X3] :
        ( n1(X3)
        | p(X3)
        | p(s1(X3)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_31])]) ).

fof(f280,plain,
    ( ! [X3] :
        ( p(X3)
        | p(s1(X3)) )
    | ~ spl4_12
    | ~ spl4_31 ),
    inference(subsumption_resolution,[],[f185,f91]) ).

fof(f185,plain,
    ( ! [X3] :
        ( n1(X3)
        | p(X3)
        | p(s1(X3)) )
    | ~ spl4_31 ),
    inference(avatar_component_clause,[],[f184]) ).

fof(f279,plain,
    ( spl4_11
    | ~ spl4_8
    | ~ spl4_36 ),
    inference(avatar_split_clause,[],[f276,f222,f74,f86]) ).

fof(f74,plain,
    ( spl4_8
  <=> ! [X8] : p(X8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_8])]) ).

fof(f276,plain,
    ( ! [X3] : ~ p(X3)
    | ~ spl4_8
    | ~ spl4_36 ),
    inference(subsumption_resolution,[],[f223,f75]) ).

fof(f75,plain,
    ( ! [X8] : p(X8)
    | ~ spl4_8 ),
    inference(avatar_component_clause,[],[f74]) ).

fof(f278,plain,
    ( spl4_26
    | ~ spl4_8
    | ~ spl4_9 ),
    inference(avatar_split_clause,[],[f277,f78,f74,f156]) ).

fof(f277,plain,
    ( ! [X3] : ~ n1(X3)
    | ~ spl4_8
    | ~ spl4_9 ),
    inference(subsumption_resolution,[],[f79,f75]) ).

fof(f275,plain,
    ( spl4_25
    | ~ spl4_2
    | ~ spl4_3 ),
    inference(avatar_split_clause,[],[f269,f54,f50,f152]) ).

fof(f269,plain,
    ( ! [X3] : ~ n5(X3)
    | ~ spl4_2
    | ~ spl4_3 ),
    inference(subsumption_resolution,[],[f55,f51]) ).

fof(f274,plain,
    ( spl4_43
    | ~ spl4_2
    | ~ spl4_33 ),
    inference(avatar_split_clause,[],[f270,f202,f50,f272]) ).

fof(f270,plain,
    ( ! [X3] : q(s5(X3))
    | ~ spl4_2
    | ~ spl4_33 ),
    inference(subsumption_resolution,[],[f203,f51]) ).

fof(f268,plain,
    ( spl4_42
    | ~ spl4_34
    | ~ spl4_38 ),
    inference(avatar_split_clause,[],[f264,f238,f206,f266]) ).

fof(f264,plain,
    ( ! [X3] :
        ( ~ q(X3)
        | n5(X3) )
    | ~ spl4_34
    | ~ spl4_38 ),
    inference(forward_literal_rewriting,[],[f239,f207]) ).

fof(f263,plain,
    ( spl4_41
    | ~ spl4_25
    | ~ spl4_37 ),
    inference(avatar_split_clause,[],[f261,f229,f152,f257]) ).

fof(f229,plain,
    ( spl4_37
  <=> ! [X3] :
        ( n5(X3)
        | ~ q(s5(X3)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_37])]) ).

fof(f261,plain,
    ( ! [X3] : ~ q(s5(X3))
    | ~ spl4_25
    | ~ spl4_37 ),
    inference(subsumption_resolution,[],[f230,f153]) ).

fof(f230,plain,
    ( ! [X3] :
        ( n5(X3)
        | ~ q(s5(X3)) )
    | ~ spl4_37 ),
    inference(avatar_component_clause,[],[f229]) ).

fof(f262,plain,
    ( ~ spl4_21
    | ~ spl4_25 ),
    inference(avatar_contradiction_clause,[],[f260]) ).

fof(f260,plain,
    ( $false
    | ~ spl4_21
    | ~ spl4_25 ),
    inference(subsumption_resolution,[],[f133,f153]) ).

fof(f259,plain,
    ( spl4_41
    | ~ spl4_5
    | ~ spl4_34 ),
    inference(avatar_split_clause,[],[f248,f206,f62,f257]) ).

fof(f248,plain,
    ( ! [X3] : ~ q(s5(X3))
    | ~ spl4_5
    | ~ spl4_34 ),
    inference(subsumption_resolution,[],[f207,f63]) ).

fof(f255,plain,
    ( spl4_25
    | ~ spl4_5
    | ~ spl4_6 ),
    inference(avatar_split_clause,[],[f249,f66,f62,f152]) ).

fof(f249,plain,
    ( ! [X3] : ~ n5(X3)
    | ~ spl4_5
    | ~ spl4_6 ),
    inference(subsumption_resolution,[],[f67,f63]) ).

fof(f254,plain,
    ( spl4_40
    | ~ spl4_5
    | ~ spl4_37 ),
    inference(avatar_split_clause,[],[f250,f229,f62,f252]) ).

fof(f250,plain,
    ( ! [X3] : n5(X3)
    | ~ spl4_5
    | ~ spl4_37 ),
    inference(subsumption_resolution,[],[f230,f63]) ).

fof(f247,plain,
    ( spl4_39
    | ~ spl4_26
    | ~ spl4_31 ),
    inference(avatar_split_clause,[],[f243,f184,f156,f245]) ).

fof(f243,plain,
    ( ! [X3] :
        ( p(X3)
        | p(s1(X3)) )
    | ~ spl4_26
    | ~ spl4_31 ),
    inference(subsumption_resolution,[],[f185,f157]) ).

fof(f242,plain,
    ( ~ spl4_8
    | spl4_24 ),
    inference(avatar_contradiction_clause,[],[f241]) ).

fof(f241,plain,
    ( $false
    | ~ spl4_8
    | spl4_24 ),
    inference(resolution,[],[f149,f75]) ).

fof(f240,plain,
    ( spl4_38
    | ~ spl4_2
    | ~ spl4_32 ),
    inference(avatar_split_clause,[],[f235,f188,f50,f238]) ).

fof(f188,plain,
    ( spl4_32
  <=> ! [X3] :
        ( n5(X3)
        | q(X3)
        | q(s5(X3)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_32])]) ).

fof(f235,plain,
    ( ! [X3] :
        ( n5(X3)
        | q(s5(X3)) )
    | ~ spl4_2
    | ~ spl4_32 ),
    inference(subsumption_resolution,[],[f189,f51]) ).

fof(f189,plain,
    ( ! [X3] :
        ( n5(X3)
        | q(X3)
        | q(s5(X3)) )
    | ~ spl4_32 ),
    inference(avatar_component_clause,[],[f188]) ).

fof(f236,plain,
    ( ~ spl4_2
    | ~ spl4_13 ),
    inference(avatar_contradiction_clause,[],[f234]) ).

fof(f234,plain,
    ( $false
    | ~ spl4_2
    | ~ spl4_13 ),
    inference(subsumption_resolution,[],[f96,f51]) ).

fof(f96,plain,
    ( q(s3)
    | ~ spl4_13 ),
    inference(avatar_component_clause,[],[f94]) ).

fof(f94,plain,
    ( spl4_13
  <=> q(s3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_13])]) ).

fof(f233,plain,
    ( spl4_33
    | ~ spl4_3
    | ~ spl4_32 ),
    inference(avatar_split_clause,[],[f232,f188,f54,f202]) ).

fof(f232,plain,
    ( ! [X3] :
        ( q(X3)
        | q(s5(X3)) )
    | ~ spl4_3
    | ~ spl4_32 ),
    inference(subsumption_resolution,[],[f189,f55]) ).

fof(f231,plain,
    ( spl4_37
    | ~ spl4_5
    | ~ spl4_30 ),
    inference(avatar_split_clause,[],[f227,f180,f62,f229]) ).

fof(f180,plain,
    ( spl4_30
  <=> ! [X3] :
        ( ~ q(X3)
        | n5(X3)
        | ~ q(s5(X3)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_30])]) ).

fof(f227,plain,
    ( ! [X3] :
        ( n5(X3)
        | ~ q(s5(X3)) )
    | ~ spl4_5
    | ~ spl4_30 ),
    inference(subsumption_resolution,[],[f181,f63]) ).

fof(f181,plain,
    ( ! [X3] :
        ( ~ q(X3)
        | n5(X3)
        | ~ q(s5(X3)) )
    | ~ spl4_30 ),
    inference(avatar_component_clause,[],[f180]) ).

fof(f226,plain,
    ( spl4_34
    | ~ spl4_6
    | ~ spl4_30 ),
    inference(avatar_split_clause,[],[f225,f180,f66,f206]) ).

fof(f225,plain,
    ( ! [X3] :
        ( ~ q(X3)
        | ~ q(s5(X3)) )
    | ~ spl4_6
    | ~ spl4_30 ),
    inference(subsumption_resolution,[],[f181,f67]) ).

fof(f224,plain,
    ( spl4_36
    | ~ spl4_26
    | ~ spl4_29 ),
    inference(avatar_split_clause,[],[f219,f176,f156,f222]) ).

fof(f176,plain,
    ( spl4_29
  <=> ! [X3] :
        ( ~ p(X3)
        | n1(X3)
        | ~ p(s1(X3)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_29])]) ).

fof(f219,plain,
    ( ! [X3] :
        ( ~ p(X3)
        | ~ p(s1(X3)) )
    | ~ spl4_26
    | ~ spl4_29 ),
    inference(subsumption_resolution,[],[f177,f157]) ).

fof(f177,plain,
    ( ! [X3] :
        ( ~ p(X3)
        | n1(X3)
        | ~ p(s1(X3)) )
    | ~ spl4_29 ),
    inference(avatar_component_clause,[],[f176]) ).

fof(f220,plain,
    ( ~ spl4_19
    | ~ spl4_26 ),
    inference(avatar_contradiction_clause,[],[f218]) ).

fof(f218,plain,
    ( $false
    | ~ spl4_19
    | ~ spl4_26 ),
    inference(subsumption_resolution,[],[f124,f157]) ).

fof(f217,plain,
    ( ~ spl4_5
    | spl4_23 ),
    inference(avatar_contradiction_clause,[],[f216]) ).

fof(f216,plain,
    ( $false
    | ~ spl4_5
    | spl4_23 ),
    inference(subsumption_resolution,[],[f143,f63]) ).

fof(f215,plain,
    ( ~ spl4_8
    | ~ spl4_11 ),
    inference(avatar_contradiction_clause,[],[f214]) ).

fof(f214,plain,
    ( $false
    | ~ spl4_8
    | ~ spl4_11 ),
    inference(subsumption_resolution,[],[f87,f75]) ).

fof(f213,plain,
    ( spl4_35
    | ~ spl4_11
    | ~ spl4_31 ),
    inference(avatar_split_clause,[],[f209,f184,f86,f211]) ).

fof(f209,plain,
    ( ! [X3] :
        ( n1(X3)
        | p(s1(X3)) )
    | ~ spl4_11
    | ~ spl4_31 ),
    inference(subsumption_resolution,[],[f185,f87]) ).

fof(f208,plain,
    ( spl4_34
    | ~ spl4_25
    | ~ spl4_30 ),
    inference(avatar_split_clause,[],[f199,f180,f152,f206]) ).

fof(f199,plain,
    ( ! [X3] :
        ( ~ q(X3)
        | ~ q(s5(X3)) )
    | ~ spl4_25
    | ~ spl4_30 ),
    inference(subsumption_resolution,[],[f181,f153]) ).

fof(f204,plain,
    ( spl4_33
    | ~ spl4_25
    | ~ spl4_32 ),
    inference(avatar_split_clause,[],[f200,f188,f152,f202]) ).

fof(f200,plain,
    ( ! [X3] :
        ( q(X3)
        | q(s5(X3)) )
    | ~ spl4_25
    | ~ spl4_32 ),
    inference(subsumption_resolution,[],[f189,f153]) ).

fof(f198,plain,
    ( spl4_28
    | spl4_27
    | spl4_22
    | spl4_20 ),
    inference(avatar_split_clause,[],[f4,f126,f135,f160,f165]) ).

fof(f165,plain,
    ( spl4_28
  <=> n10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_28])]) ).

fof(f160,plain,
    ( spl4_27
  <=> n9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_27])]) ).

fof(f135,plain,
    ( spl4_22
  <=> n6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_22])]) ).

fof(f126,plain,
    ( spl4_20
  <=> n2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_20])]) ).

fof(f4,axiom,
    ( n2
    | n6
    | n9
    | n10 ),
    file('/export/starexec/sandbox2/tmp/tmp.BW0sE7c4u2/Vampire---4.8_1195',clause_4) ).

fof(f197,plain,
    ( spl4_20
    | spl4_22
    | ~ spl4_27
    | ~ spl4_28 ),
    inference(avatar_split_clause,[],[f8,f165,f160,f135,f126]) ).

fof(f8,axiom,
    ( ~ n10
    | ~ n9
    | n6
    | n2 ),
    file('/export/starexec/sandbox2/tmp/tmp.BW0sE7c4u2/Vampire---4.8_1195',clause_8) ).

fof(f196,plain,
    ( spl4_27
    | spl4_20
    | ~ spl4_28
    | ~ spl4_22 ),
    inference(avatar_split_clause,[],[f3,f135,f165,f126,f160]) ).

fof(f3,axiom,
    ( ~ n6
    | ~ n10
    | n2
    | n9 ),
    file('/export/starexec/sandbox2/tmp/tmp.BW0sE7c4u2/Vampire---4.8_1195',clause_3) ).

fof(f195,plain,
    ( spl4_28
    | spl4_22
    | ~ spl4_27
    | ~ spl4_20 ),
    inference(avatar_split_clause,[],[f2,f126,f160,f135,f165]) ).

fof(f2,axiom,
    ( ~ n2
    | ~ n9
    | n6
    | n10 ),
    file('/export/starexec/sandbox2/tmp/tmp.BW0sE7c4u2/Vampire---4.8_1195',clause_2) ).

fof(f194,plain,
    ( spl4_27
    | spl4_22
    | ~ spl4_28
    | ~ spl4_20 ),
    inference(avatar_split_clause,[],[f6,f126,f165,f135,f160]) ).

fof(f6,axiom,
    ( ~ n2
    | ~ n10
    | n6
    | n9 ),
    file('/export/starexec/sandbox2/tmp/tmp.BW0sE7c4u2/Vampire---4.8_1195',clause_6) ).

fof(f193,plain,
    ( spl4_28
    | spl4_20
    | ~ spl4_27
    | ~ spl4_22 ),
    inference(avatar_split_clause,[],[f7,f135,f160,f126,f165]) ).

fof(f7,axiom,
    ( ~ n6
    | ~ n9
    | n2
    | n10 ),
    file('/export/starexec/sandbox2/tmp/tmp.BW0sE7c4u2/Vampire---4.8_1195',clause_7) ).

fof(f192,plain,
    ( spl4_28
    | spl4_27
    | ~ spl4_22
    | ~ spl4_20 ),
    inference(avatar_split_clause,[],[f5,f126,f135,f160,f165]) ).

fof(f5,axiom,
    ( ~ n2
    | ~ n6
    | n9
    | n10 ),
    file('/export/starexec/sandbox2/tmp/tmp.BW0sE7c4u2/Vampire---4.8_1195',clause_5) ).

fof(f191,plain,
    ( ~ spl4_28
    | ~ spl4_27
    | ~ spl4_22
    | ~ spl4_20 ),
    inference(avatar_split_clause,[],[f1,f126,f135,f160,f165]) ).

fof(f1,axiom,
    ( ~ n2
    | ~ n6
    | ~ n9
    | ~ n10 ),
    file('/export/starexec/sandbox2/tmp/tmp.BW0sE7c4u2/Vampire---4.8_1195',clause_1) ).

fof(f190,plain,
    spl4_32,
    inference(avatar_split_clause,[],[f16,f188]) ).

fof(f16,axiom,
    ! [X3] :
      ( n5(X3)
      | q(X3)
      | q(s5(X3)) ),
    file('/export/starexec/sandbox2/tmp/tmp.BW0sE7c4u2/Vampire---4.8_1195',clause_16) ).

fof(f186,plain,
    spl4_31,
    inference(avatar_split_clause,[],[f26,f184]) ).

fof(f26,axiom,
    ! [X3] :
      ( n1(X3)
      | p(X3)
      | p(s1(X3)) ),
    file('/export/starexec/sandbox2/tmp/tmp.BW0sE7c4u2/Vampire---4.8_1195',clause_26) ).

fof(f182,plain,
    spl4_30,
    inference(avatar_split_clause,[],[f15,f180]) ).

fof(f15,axiom,
    ! [X3] :
      ( ~ q(X3)
      | n5(X3)
      | ~ q(s5(X3)) ),
    file('/export/starexec/sandbox2/tmp/tmp.BW0sE7c4u2/Vampire---4.8_1195',clause_15) ).

fof(f178,plain,
    spl4_29,
    inference(avatar_split_clause,[],[f25,f176]) ).

fof(f25,axiom,
    ! [X3] :
      ( ~ p(X3)
      | n1(X3)
      | ~ p(s1(X3)) ),
    file('/export/starexec/sandbox2/tmp/tmp.BW0sE7c4u2/Vampire---4.8_1195',clause_25) ).

fof(f174,plain,
    ( spl4_28
    | spl4_15
    | spl4_17 ),
    inference(avatar_split_clause,[],[f34,f112,f103,f165]) ).

fof(f103,plain,
    ( spl4_15
  <=> n8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_15])]) ).

fof(f112,plain,
    ( spl4_17
  <=> n7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_17])]) ).

fof(f34,axiom,
    ( n7
    | n8
    | n10 ),
    file('/export/starexec/sandbox2/tmp/tmp.BW0sE7c4u2/Vampire---4.8_1195',clause_34) ).

fof(f173,plain,
    ( spl4_27
    | spl4_18
    | spl4_14 ),
    inference(avatar_split_clause,[],[f30,f98,f117,f160]) ).

fof(f117,plain,
    ( spl4_18
  <=> n4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_18])]) ).

fof(f98,plain,
    ( spl4_14
  <=> n3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_14])]) ).

fof(f30,axiom,
    ( n3
    | n4
    | n9 ),
    file('/export/starexec/sandbox2/tmp/tmp.BW0sE7c4u2/Vampire---4.8_1195',clause_30) ).

fof(f172,plain,
    ( spl4_14
    | ~ spl4_27
    | ~ spl4_18 ),
    inference(avatar_split_clause,[],[f32,f117,f160,f98]) ).

fof(f32,axiom,
    ( ~ n4
    | ~ n9
    | n3 ),
    file('/export/starexec/sandbox2/tmp/tmp.BW0sE7c4u2/Vampire---4.8_1195',clause_32) ).

fof(f171,plain,
    ( spl4_18
    | ~ spl4_27
    | ~ spl4_14 ),
    inference(avatar_split_clause,[],[f31,f98,f160,f117]) ).

fof(f31,axiom,
    ( ~ n3
    | ~ n9
    | n4 ),
    file('/export/starexec/sandbox2/tmp/tmp.BW0sE7c4u2/Vampire---4.8_1195',clause_31) ).

fof(f170,plain,
    ( spl4_17
    | ~ spl4_28
    | ~ spl4_15 ),
    inference(avatar_split_clause,[],[f36,f103,f165,f112]) ).

fof(f36,axiom,
    ( ~ n8
    | ~ n10
    | n7 ),
    file('/export/starexec/sandbox2/tmp/tmp.BW0sE7c4u2/Vampire---4.8_1195',clause_36) ).

fof(f169,plain,
    ( spl4_15
    | ~ spl4_28
    | ~ spl4_17 ),
    inference(avatar_split_clause,[],[f35,f112,f165,f103]) ).

fof(f35,axiom,
    ( ~ n7
    | ~ n10
    | n8 ),
    file('/export/starexec/sandbox2/tmp/tmp.BW0sE7c4u2/Vampire---4.8_1195',clause_35) ).

fof(f168,plain,
    ( spl4_28
    | ~ spl4_15
    | ~ spl4_17 ),
    inference(avatar_split_clause,[],[f33,f112,f103,f165]) ).

fof(f33,axiom,
    ( ~ n7
    | ~ n8
    | n10 ),
    file('/export/starexec/sandbox2/tmp/tmp.BW0sE7c4u2/Vampire---4.8_1195',clause_33) ).

fof(f163,plain,
    ( spl4_27
    | ~ spl4_18
    | ~ spl4_14 ),
    inference(avatar_split_clause,[],[f29,f98,f117,f160]) ).

fof(f29,axiom,
    ( ~ n3
    | ~ n4
    | n9 ),
    file('/export/starexec/sandbox2/tmp/tmp.BW0sE7c4u2/Vampire---4.8_1195',clause_29) ).

fof(f158,plain,
    ( spl4_26
    | spl4_20 ),
    inference(avatar_split_clause,[],[f23,f126,f156]) ).

fof(f23,axiom,
    ! [X7] :
      ( n2
      | ~ n1(X7) ),
    file('/export/starexec/sandbox2/tmp/tmp.BW0sE7c4u2/Vampire---4.8_1195',clause_23) ).

fof(f154,plain,
    ( spl4_25
    | spl4_22 ),
    inference(avatar_split_clause,[],[f13,f135,f152]) ).

fof(f13,axiom,
    ! [X2] :
      ( n6
      | ~ n5(X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.BW0sE7c4u2/Vampire---4.8_1195',clause_13) ).

fof(f150,plain,
    ( ~ spl4_24
    | spl4_15 ),
    inference(avatar_split_clause,[],[f9,f103,f147]) ).

fof(f9,axiom,
    ( n8
    | ~ p(s8) ),
    file('/export/starexec/sandbox2/tmp/tmp.BW0sE7c4u2/Vampire---4.8_1195',clause_9) ).

fof(f145,plain,
    ( spl4_11
    | spl4_17 ),
    inference(avatar_split_clause,[],[f11,f112,f86]) ).

fof(f11,axiom,
    ! [X1] :
      ( n7
      | ~ p(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.BW0sE7c4u2/Vampire---4.8_1195',clause_11) ).

fof(f144,plain,
    ( ~ spl4_23
    | spl4_18 ),
    inference(avatar_split_clause,[],[f19,f117,f141]) ).

fof(f19,axiom,
    ( n4
    | ~ q(s4) ),
    file('/export/starexec/sandbox2/tmp/tmp.BW0sE7c4u2/Vampire---4.8_1195',clause_19) ).

fof(f139,plain,
    ( spl4_2
    | spl4_14 ),
    inference(avatar_split_clause,[],[f21,f98,f50]) ).

fof(f21,axiom,
    ! [X6] :
      ( n3
      | ~ q(X6) ),
    file('/export/starexec/sandbox2/tmp/tmp.BW0sE7c4u2/Vampire---4.8_1195',clause_21) ).

fof(f138,plain,
    ( spl4_21
    | ~ spl4_22 ),
    inference(avatar_split_clause,[],[f14,f135,f131]) ).

fof(f14,axiom,
    ( ~ n6
    | n5(s6) ),
    file('/export/starexec/sandbox2/tmp/tmp.BW0sE7c4u2/Vampire---4.8_1195',clause_14) ).

fof(f129,plain,
    ( spl4_19
    | ~ spl4_20 ),
    inference(avatar_split_clause,[],[f24,f126,f122]) ).

fof(f24,axiom,
    ( ~ n2
    | n1(s2) ),
    file('/export/starexec/sandbox2/tmp/tmp.BW0sE7c4u2/Vampire---4.8_1195',clause_24) ).

fof(f120,plain,
    ( spl4_5
    | ~ spl4_18 ),
    inference(avatar_split_clause,[],[f20,f117,f62]) ).

fof(f20,axiom,
    ! [X5] :
      ( ~ n4
      | q(X5) ),
    file('/export/starexec/sandbox2/tmp/tmp.BW0sE7c4u2/Vampire---4.8_1195',clause_20) ).

fof(f115,plain,
    ( spl4_16
    | ~ spl4_17 ),
    inference(avatar_split_clause,[],[f12,f112,f108]) ).

fof(f12,axiom,
    ( ~ n7
    | p(s7) ),
    file('/export/starexec/sandbox2/tmp/tmp.BW0sE7c4u2/Vampire---4.8_1195',clause_12) ).

fof(f106,plain,
    ( spl4_8
    | ~ spl4_15 ),
    inference(avatar_split_clause,[],[f10,f103,f74]) ).

fof(f10,axiom,
    ! [X0] :
      ( ~ n8
      | p(X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.BW0sE7c4u2/Vampire---4.8_1195',clause_10) ).

fof(f101,plain,
    ( spl4_13
    | ~ spl4_14 ),
    inference(avatar_split_clause,[],[f22,f98,f94]) ).

fof(f22,axiom,
    ( ~ n3
    | q(s3) ),
    file('/export/starexec/sandbox2/tmp/tmp.BW0sE7c4u2/Vampire---4.8_1195',clause_22) ).

fof(f92,plain,
    ( spl4_10
    | spl4_12 ),
    inference(avatar_split_clause,[],[f37,f90,f82]) ).

fof(f82,plain,
    ( spl4_10
  <=> sP0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_10])]) ).

fof(f37,plain,
    ! [X3] :
      ( ~ n1(X3)
      | p(X3)
      | sP0 ),
    inference(cnf_transformation,[],[f37_D]) ).

fof(f37_D,plain,
    ( ! [X3] :
        ( ~ n1(X3)
        | p(X3) )
  <=> ~ sP0 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP0])]) ).

fof(f88,plain,
    ( ~ spl4_10
    | spl4_11 ),
    inference(avatar_split_clause,[],[f38,f86,f82]) ).

fof(f38,plain,
    ! [X8] :
      ( ~ p(X8)
      | ~ sP0 ),
    inference(general_splitting,[],[f28,f37_D]) ).

fof(f28,axiom,
    ! [X3,X8] :
      ( ~ n1(X3)
      | ~ p(X8)
      | p(X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.BW0sE7c4u2/Vampire---4.8_1195',clause_28) ).

fof(f80,plain,
    ( spl4_7
    | spl4_9 ),
    inference(avatar_split_clause,[],[f39,f78,f70]) ).

fof(f70,plain,
    ( spl4_7
  <=> sP1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_7])]) ).

fof(f39,plain,
    ! [X3] :
      ( ~ n1(X3)
      | ~ p(X3)
      | sP1 ),
    inference(cnf_transformation,[],[f39_D]) ).

fof(f39_D,plain,
    ( ! [X3] :
        ( ~ n1(X3)
        | ~ p(X3) )
  <=> ~ sP1 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP1])]) ).

fof(f76,plain,
    ( ~ spl4_7
    | spl4_8 ),
    inference(avatar_split_clause,[],[f40,f74,f70]) ).

fof(f40,plain,
    ! [X8] :
      ( p(X8)
      | ~ sP1 ),
    inference(general_splitting,[],[f27,f39_D]) ).

fof(f27,axiom,
    ! [X3,X8] :
      ( ~ n1(X3)
      | ~ p(X3)
      | p(X8) ),
    file('/export/starexec/sandbox2/tmp/tmp.BW0sE7c4u2/Vampire---4.8_1195',clause_27) ).

fof(f68,plain,
    ( spl4_4
    | spl4_6 ),
    inference(avatar_split_clause,[],[f41,f66,f58]) ).

fof(f58,plain,
    ( spl4_4
  <=> sP2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_4])]) ).

fof(f41,plain,
    ! [X3] :
      ( ~ n5(X3)
      | ~ q(X3)
      | sP2 ),
    inference(cnf_transformation,[],[f41_D]) ).

fof(f41_D,plain,
    ( ! [X3] :
        ( ~ n5(X3)
        | ~ q(X3) )
  <=> ~ sP2 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP2])]) ).

fof(f64,plain,
    ( ~ spl4_4
    | spl4_5 ),
    inference(avatar_split_clause,[],[f42,f62,f58]) ).

fof(f42,plain,
    ! [X4] :
      ( q(X4)
      | ~ sP2 ),
    inference(general_splitting,[],[f17,f41_D]) ).

fof(f17,axiom,
    ! [X3,X4] :
      ( ~ n5(X3)
      | ~ q(X3)
      | q(X4) ),
    file('/export/starexec/sandbox2/tmp/tmp.BW0sE7c4u2/Vampire---4.8_1195',clause_17) ).

fof(f56,plain,
    ( spl4_1
    | spl4_3 ),
    inference(avatar_split_clause,[],[f43,f54,f46]) ).

fof(f46,plain,
    ( spl4_1
  <=> sP3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).

fof(f43,plain,
    ! [X3] :
      ( ~ n5(X3)
      | q(X3)
      | sP3 ),
    inference(cnf_transformation,[],[f43_D]) ).

fof(f43_D,plain,
    ( ! [X3] :
        ( ~ n5(X3)
        | q(X3) )
  <=> ~ sP3 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP3])]) ).

fof(f52,plain,
    ( ~ spl4_1
    | spl4_2 ),
    inference(avatar_split_clause,[],[f44,f50,f46]) ).

fof(f44,plain,
    ! [X4] :
      ( ~ q(X4)
      | ~ sP3 ),
    inference(general_splitting,[],[f18,f43_D]) ).

fof(f18,axiom,
    ! [X3,X4] :
      ( ~ n5(X3)
      | ~ q(X4)
      | q(X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.BW0sE7c4u2/Vampire---4.8_1195',clause_18) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : SYN036-3 : TPTP v8.1.2. Released v1.0.0.
% 0.12/0.15  % Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.36  % Computer : n015.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Sat Aug 26 17:48:08 EDT 2023
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a CNF_UNS_RFO_NEQ_NHN problem
% 0.15/0.37  Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.BW0sE7c4u2/Vampire---4.8_1195
% 0.23/0.37  % (1416)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.44  % (1417)lrs-1_7_acc=on:amm=off:anc=all:bs=on:bsr=on:cond=fast:flr=on:fsr=off:gsp=on:lcm=reverse:lma=on:msp=off:nm=0:nwc=1.2:sp=frequency:stl=188_1354 on Vampire---4 for (1354ds/0Mi)
% 0.23/0.44  % (1417)First to succeed.
% 0.23/0.45  % (1417)Refutation found. Thanks to Tanya!
% 0.23/0.45  % SZS status Unsatisfiable for Vampire---4
% 0.23/0.45  % SZS output start Proof for Vampire---4
% See solution above
% 0.23/0.45  % (1417)------------------------------
% 0.23/0.45  % (1417)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.23/0.45  % (1417)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.23/0.45  % (1417)Termination reason: Refutation
% 0.23/0.45  
% 0.23/0.45  % (1417)Memory used [KB]: 5628
% 0.23/0.45  % (1417)Time elapsed: 0.009 s
% 0.23/0.45  % (1417)------------------------------
% 0.23/0.45  % (1417)------------------------------
% 0.23/0.45  % (1416)Success in time 0.077 s
% 0.23/0.45  % Vampire---4.8 exiting
%------------------------------------------------------------------------------