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Vampire-SAT---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SYO500_8.004 : TPTP v9.3.1. Released v8.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% Computer : n016.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 02:31:20 PM UTC 2026

% Result   : Theorem 0.28s 0.34s
% Output   : Refutation 0.28s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   32
%            Number of leaves      :   14
% Syntax   : Number of formulae    :  247 (   9 unt;   0 typ;  13 def)
%            Number of atoms       : 1310 (   2 equ)
%            Maximal formula atoms :    5 (   5 avg)
%            Number of connectives : 1225 ( 468   ~; 742   |;   0   &)
%                                         (  14 <=>;   0  =>;   0  <=;   1 <~>)
%            Maximal formula depth :    6 (   5 avg)
%            Maximal term depth    :    0 (   0 avg)
%            Number of FOOLs       :  306 ( 306 fml;   0 var)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   25 (  22 usr;  20 prp; 0-2 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :    0 (   0 sgn   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(pred_def_2,type,
    f0: $o > $o ).

tff(pred_def_3,type,
    f1: $o > $o ).

tff(pred_def_4,type,
    f2: $o > $o ).

tff(pred_def_5,type,
    f3: $o > $o ).

tff(f1,conjecture,
    f0(f0(f0(f1(f2(f2(f2(f3(x)))))))) = f0(f1(f1(f1(f2(f3(f3(f3(x)))))))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',kaminski4) ).

tff(f2,negated_conjecture,
    f0(f0(f0(f1(f2(f2(f2(f3(x)))))))) != f0(f1(f1(f1(f2(f3(f3(f3(x)))))))),
    inference(negated_conjecture,[status(cth)],[f1]) ).

tff(f3,plain,
    ~ ( f0(f0(f0(f1(f2(f2(f2(f3(x))))))))
    <=> f0(f1(f1(f1(f2(f3(f3(f3(x)))))))) ),
    inference(flattening,[],[f2]) ).

tff(f4,plain,
    ( f0(f0(f0(f1(f2(f2(f2(f3(x))))))))
  <~> f0(f1(f1(f1(f2(f3(f3(f3(x)))))))) ),
    inference(ennf_transformation,[],[f3]) ).

tff(f5,plain,
    ( ~ x
    | ~ f3($true)
    | sP3 ),
    inference(cnf_transformation,[],[f4]) ).

tff(f6,plain,
    ( x
    | ~ f3($false)
    | ~ f3($true)
    | sP3 ),
    inference(cnf_transformation,[],[f4]) ).

tff(f7,plain,
    ( x
    | f3($true)
    | ~ f3($false)
    | sP3 ),
    inference(cnf_transformation,[],[f4]) ).

tff(f8,plain,
    ( ~ x
    | ~ f3($false)
    | f3($true)
    | ~ sP3 ),
    inference(cnf_transformation,[],[f4]) ).

tff(f9,plain,
    ( ~ x
    | f3($true)
    | f3($false)
    | ~ sP3 ),
    inference(cnf_transformation,[],[f4]) ).

tff(f10,plain,
    ( x
    | f3($false)
    | ~ sP3 ),
    inference(cnf_transformation,[],[f4]) ).

tff(f13,plain,
    ( ~ x
    | ~ f3($true)
    | ~ f2($true)
    | sP2 ),
    inference(cnf_transformation,[],[f4]) ).

tff(f14,plain,
    ( x
    | ~ f3($false)
    | ~ f2($true)
    | sP2 ),
    inference(cnf_transformation,[],[f4]) ).

tff(f15,plain,
    ( ~ x
    | ~ f3($true)
    | f2($true)
    | ~ f2($false)
    | sP2 ),
    inference(cnf_transformation,[],[f4]) ).

tff(f16,plain,
    ( x
    | ~ f3($false)
    | f2($true)
    | ~ f2($false)
    | sP2 ),
    inference(cnf_transformation,[],[f4]) ).

tff(f17,plain,
    ( ~ x
    | f3($true)
    | ~ f2($false)
    | f2($true)
    | ~ sP2 ),
    inference(cnf_transformation,[],[f4]) ).

tff(f18,plain,
    ( x
    | f3($false)
    | ~ f2($false)
    | f2($true)
    | ~ sP2 ),
    inference(cnf_transformation,[],[f4]) ).

tff(f19,plain,
    ( ~ x
    | f3($true)
    | f2($false)
    | ~ sP2 ),
    inference(cnf_transformation,[],[f4]) ).

tff(f20,plain,
    ( x
    | f3($false)
    | f2($false)
    | ~ sP2 ),
    inference(cnf_transformation,[],[f4]) ).

tff(f23,plain,
    ( ~ sP3
    | f2($true)
    | f1($false)
    | ~ sP0 ),
    inference(cnf_transformation,[],[f4]) ).

tff(f24,plain,
    ( sP3
    | f2($false)
    | f1($false)
    | ~ sP0 ),
    inference(cnf_transformation,[],[f4]) ).

tff(f25,plain,
    ( ~ sP3
    | ~ f2($true)
    | f1($true)
    | f1($false)
    | ~ sP0 ),
    inference(cnf_transformation,[],[f4]) ).

tff(f26,plain,
    ( sP3
    | ~ f2($false)
    | f1($true)
    | f1($false)
    | ~ sP0 ),
    inference(cnf_transformation,[],[f4]) ).

tff(f27,plain,
    ( ~ sP3
    | ~ f2($true)
    | ~ f1($false)
    | f1($true)
    | ~ sP0 ),
    inference(cnf_transformation,[],[f4]) ).

tff(f28,plain,
    ( sP3
    | ~ f2($false)
    | ~ f1($false)
    | f1($true)
    | ~ sP0 ),
    inference(cnf_transformation,[],[f4]) ).

tff(f29,plain,
    ( ~ sP3
    | f2($true)
    | f1($true)
    | ~ f1($false)
    | sP0 ),
    inference(cnf_transformation,[],[f4]) ).

tff(f30,plain,
    ( sP3
    | f2($false)
    | f1($true)
    | ~ f1($false)
    | sP0 ),
    inference(cnf_transformation,[],[f4]) ).

tff(f31,plain,
    ( ~ sP3
    | f2($true)
    | ~ f1($false)
    | ~ f1($true)
    | sP0 ),
    inference(cnf_transformation,[],[f4]) ).

tff(f32,plain,
    ( sP3
    | f2($false)
    | ~ f1($false)
    | ~ f1($true)
    | sP0 ),
    inference(cnf_transformation,[],[f4]) ).

tff(f33,plain,
    ( ~ sP3
    | ~ f2($true)
    | ~ f1($true)
    | sP0 ),
    inference(cnf_transformation,[],[f4]) ).

tff(f34,plain,
    ( sP3
    | ~ f2($false)
    | ~ f1($true)
    | sP0 ),
    inference(cnf_transformation,[],[f4]) ).

tff(f35,plain,
    ( ~ sP2
    | f2($true)
    | ~ f1($false)
    | ~ f0($true)
    | sP1 ),
    inference(cnf_transformation,[],[f4]) ).

tff(f36,plain,
    ( sP2
    | f2($false)
    | ~ f1($false)
    | ~ f0($true)
    | sP1 ),
    inference(cnf_transformation,[],[f4]) ).

tff(f37,plain,
    ( ~ sP2
    | ~ f2($true)
    | ~ f1($true)
    | ~ f0($true)
    | sP1 ),
    inference(cnf_transformation,[],[f4]) ).

tff(f38,plain,
    ( sP2
    | ~ f2($false)
    | ~ f1($true)
    | ~ f0($true)
    | sP1 ),
    inference(cnf_transformation,[],[f4]) ).

tff(f39,plain,
    ( ~ sP2
    | f2($true)
    | f1($false)
    | ~ f0($false)
    | sP1 ),
    inference(cnf_transformation,[],[f4]) ).

tff(f40,plain,
    ( sP2
    | f2($false)
    | f1($false)
    | ~ f0($false)
    | sP1 ),
    inference(cnf_transformation,[],[f4]) ).

tff(f41,plain,
    ( ~ sP2
    | ~ f2($true)
    | f1($true)
    | ~ f0($false)
    | sP1 ),
    inference(cnf_transformation,[],[f4]) ).

tff(f42,plain,
    ( sP2
    | ~ f2($false)
    | f1($true)
    | ~ f0($false)
    | sP1 ),
    inference(cnf_transformation,[],[f4]) ).

tff(f43,plain,
    ( ~ sP2
    | f2($true)
    | ~ f1($false)
    | f0($true)
    | ~ sP1 ),
    inference(cnf_transformation,[],[f4]) ).

tff(f44,plain,
    ( sP2
    | f2($false)
    | ~ f1($false)
    | f0($true)
    | ~ sP1 ),
    inference(cnf_transformation,[],[f4]) ).

tff(f45,plain,
    ( ~ sP2
    | ~ f2($true)
    | ~ f1($true)
    | f0($true)
    | ~ sP1 ),
    inference(cnf_transformation,[],[f4]) ).

tff(f46,plain,
    ( sP2
    | ~ f2($false)
    | ~ f1($true)
    | f0($true)
    | ~ sP1 ),
    inference(cnf_transformation,[],[f4]) ).

tff(f47,plain,
    ( ~ sP2
    | f2($true)
    | f1($false)
    | f0($false)
    | ~ sP1 ),
    inference(cnf_transformation,[],[f4]) ).

tff(f48,plain,
    ( sP2
    | f2($false)
    | f1($false)
    | f0($false)
    | ~ sP1 ),
    inference(cnf_transformation,[],[f4]) ).

tff(f49,plain,
    ( ~ sP2
    | ~ f2($true)
    | f1($true)
    | f0($false)
    | ~ sP1 ),
    inference(cnf_transformation,[],[f4]) ).

tff(f50,plain,
    ( sP2
    | ~ f2($false)
    | f1($true)
    | f0($false)
    | ~ sP1 ),
    inference(cnf_transformation,[],[f4]) ).

tff(f51,plain,
    ( sP0
    | ~ f0($false)
    | ~ sP1
    | ~ f0($true) ),
    inference(cnf_transformation,[],[f4]) ).

tff(f53,plain,
    ( ~ sP0
    | ~ sP1
    | ~ f0($true) ),
    inference(cnf_transformation,[],[f4]) ).

tff(f55,plain,
    ( sP0
    | ~ sP1
    | f0($true)
    | ~ f0($false) ),
    inference(cnf_transformation,[],[f4]) ).

tff(f56,plain,
    ( ~ sP0
    | sP1
    | ~ f0($false)
    | f0($true) ),
    inference(cnf_transformation,[],[f4]) ).

tff(f58,plain,
    ( sP0
    | sP1
    | f0($false) ),
    inference(cnf_transformation,[],[f4]) ).

tff(f60,plain,
    ( ~ sP0
    | f0($true)
    | sP1
    | f0($false) ),
    inference(cnf_transformation,[],[f4]) ).

tff(f63,plain,
    ( ~ sP2
    | f2($false)
    | ~ f1($true)
    | f0($false)
    | ~ sP1 ),
    inference(consistent_polarity_flipping,[],[f50]) ).

tff(f64,plain,
    ( sP2
    | f2($true)
    | ~ f1($true)
    | f0($false)
    | ~ sP1 ),
    inference(consistent_polarity_flipping,[],[f49]) ).

tff(f65,plain,
    ( ~ sP2
    | ~ f2($false)
    | ~ f1($false)
    | f0($false)
    | ~ sP1 ),
    inference(consistent_polarity_flipping,[],[f48]) ).

tff(f66,plain,
    ( sP2
    | ~ f2($true)
    | ~ f1($false)
    | f0($false)
    | ~ sP1 ),
    inference(consistent_polarity_flipping,[],[f47]) ).

tff(f67,plain,
    ( ~ sP2
    | f2($false)
    | f1($true)
    | f0($true)
    | ~ sP1 ),
    inference(consistent_polarity_flipping,[],[f46]) ).

tff(f68,plain,
    ( sP2
    | f2($true)
    | f1($true)
    | f0($true)
    | ~ sP1 ),
    inference(consistent_polarity_flipping,[],[f45]) ).

tff(f69,plain,
    ( ~ sP2
    | ~ f2($false)
    | f1($false)
    | f0($true)
    | ~ sP1 ),
    inference(consistent_polarity_flipping,[],[f44]) ).

tff(f70,plain,
    ( sP2
    | ~ f2($true)
    | f1($false)
    | f0($true)
    | ~ sP1 ),
    inference(consistent_polarity_flipping,[],[f43]) ).

tff(f71,plain,
    ( ~ sP2
    | f2($false)
    | ~ f1($true)
    | ~ f0($false)
    | sP1 ),
    inference(consistent_polarity_flipping,[],[f42]) ).

tff(f72,plain,
    ( sP2
    | f2($true)
    | ~ f1($true)
    | ~ f0($false)
    | sP1 ),
    inference(consistent_polarity_flipping,[],[f41]) ).

tff(f73,plain,
    ( ~ sP2
    | ~ f2($false)
    | ~ f1($false)
    | ~ f0($false)
    | sP1 ),
    inference(consistent_polarity_flipping,[],[f40]) ).

tff(f74,plain,
    ( sP2
    | ~ f2($true)
    | ~ f1($false)
    | ~ f0($false)
    | sP1 ),
    inference(consistent_polarity_flipping,[],[f39]) ).

tff(f75,plain,
    ( ~ sP2
    | f2($false)
    | f1($true)
    | ~ f0($true)
    | sP1 ),
    inference(consistent_polarity_flipping,[],[f38]) ).

tff(f76,plain,
    ( sP2
    | f2($true)
    | f1($true)
    | ~ f0($true)
    | sP1 ),
    inference(consistent_polarity_flipping,[],[f37]) ).

tff(f77,plain,
    ( ~ sP2
    | ~ f2($false)
    | f1($false)
    | ~ f0($true)
    | sP1 ),
    inference(consistent_polarity_flipping,[],[f36]) ).

tff(f78,plain,
    ( sP2
    | ~ f2($true)
    | f1($false)
    | ~ f0($true)
    | sP1 ),
    inference(consistent_polarity_flipping,[],[f35]) ).

tff(f79,plain,
    ( ~ sP3
    | f2($false)
    | f1($true)
    | sP0 ),
    inference(consistent_polarity_flipping,[],[f34]) ).

tff(f80,plain,
    ( sP3
    | f2($true)
    | f1($true)
    | sP0 ),
    inference(consistent_polarity_flipping,[],[f33]) ).

tff(f81,plain,
    ( ~ sP3
    | ~ f2($false)
    | f1($false)
    | f1($true)
    | sP0 ),
    inference(consistent_polarity_flipping,[],[f32]) ).

tff(f82,plain,
    ( sP3
    | ~ f2($true)
    | f1($false)
    | f1($true)
    | sP0 ),
    inference(consistent_polarity_flipping,[],[f31]) ).

tff(f83,plain,
    ( ~ sP3
    | ~ f2($false)
    | ~ f1($true)
    | f1($false)
    | sP0 ),
    inference(consistent_polarity_flipping,[],[f30]) ).

tff(f84,plain,
    ( sP3
    | ~ f2($true)
    | ~ f1($true)
    | f1($false)
    | sP0 ),
    inference(consistent_polarity_flipping,[],[f29]) ).

tff(f85,plain,
    ( ~ sP3
    | f2($false)
    | f1($false)
    | ~ f1($true)
    | ~ sP0 ),
    inference(consistent_polarity_flipping,[],[f28]) ).

tff(f86,plain,
    ( sP3
    | f2($true)
    | f1($false)
    | ~ f1($true)
    | ~ sP0 ),
    inference(consistent_polarity_flipping,[],[f27]) ).

tff(f87,plain,
    ( ~ sP3
    | f2($false)
    | ~ f1($true)
    | ~ f1($false)
    | ~ sP0 ),
    inference(consistent_polarity_flipping,[],[f26]) ).

tff(f88,plain,
    ( sP3
    | f2($true)
    | ~ f1($true)
    | ~ f1($false)
    | ~ sP0 ),
    inference(consistent_polarity_flipping,[],[f25]) ).

tff(f89,plain,
    ( ~ sP3
    | ~ f2($false)
    | ~ f1($false)
    | ~ sP0 ),
    inference(consistent_polarity_flipping,[],[f24]) ).

tff(f90,plain,
    ( sP3
    | ~ f2($true)
    | ~ f1($false)
    | ~ sP0 ),
    inference(consistent_polarity_flipping,[],[f23]) ).

tff(f93,plain,
    ( x
    | f3($false)
    | ~ f2($false)
    | sP2 ),
    inference(consistent_polarity_flipping,[],[f20]) ).

tff(f94,plain,
    ( ~ x
    | f3($true)
    | ~ f2($false)
    | sP2 ),
    inference(consistent_polarity_flipping,[],[f19]) ).

tff(f95,plain,
    ( x
    | f3($false)
    | f2($false)
    | ~ f2($true)
    | sP2 ),
    inference(consistent_polarity_flipping,[],[f18]) ).

tff(f96,plain,
    ( ~ x
    | f3($true)
    | f2($false)
    | ~ f2($true)
    | sP2 ),
    inference(consistent_polarity_flipping,[],[f17]) ).

tff(f97,plain,
    ( x
    | ~ f3($false)
    | ~ f2($true)
    | f2($false)
    | ~ sP2 ),
    inference(consistent_polarity_flipping,[],[f16]) ).

tff(f98,plain,
    ( ~ x
    | ~ f3($true)
    | ~ f2($true)
    | f2($false)
    | ~ sP2 ),
    inference(consistent_polarity_flipping,[],[f15]) ).

tff(f99,plain,
    ( x
    | ~ f3($false)
    | f2($true)
    | ~ sP2 ),
    inference(consistent_polarity_flipping,[],[f14]) ).

tff(f100,plain,
    ( ~ x
    | ~ f3($true)
    | f2($true)
    | ~ sP2 ),
    inference(consistent_polarity_flipping,[],[f13]) ).

tff(f103,plain,
    ( x
    | f3($false)
    | sP3 ),
    inference(consistent_polarity_flipping,[],[f10]) ).

tff(f104,plain,
    ( ~ x
    | f3($true)
    | f3($false)
    | sP3 ),
    inference(consistent_polarity_flipping,[],[f9]) ).

tff(f105,plain,
    ( ~ x
    | ~ f3($false)
    | f3($true)
    | sP3 ),
    inference(consistent_polarity_flipping,[],[f8]) ).

tff(f106,plain,
    ( x
    | f3($true)
    | ~ f3($false)
    | ~ sP3 ),
    inference(consistent_polarity_flipping,[],[f7]) ).

tff(f107,plain,
    ( x
    | ~ f3($false)
    | ~ f3($true)
    | ~ sP3 ),
    inference(consistent_polarity_flipping,[],[f6]) ).

tff(f108,plain,
    ( ~ x
    | ~ f3($true)
    | ~ sP3 ),
    inference(consistent_polarity_flipping,[],[f5]) ).

tff(f110,definition,
    ( spl4_1
  <=> sP3 ),
    introduced(definition,[new_symbols(definition,[spl4_1])],[avatar_definition]) ).

tff(f114,definition,
    ( spl4_2
  <=> f3($true) ),
    introduced(definition,[new_symbols(definition,[spl4_2])],[avatar_definition]) ).

tff(f118,definition,
    ( spl4_3
  <=> x ),
    introduced(definition,[new_symbols(definition,[spl4_3])],[avatar_definition]) ).

tff(f121,plain,
    ( ~ spl4_1
    | ~ spl4_2
    | ~ spl4_3 ),
    inference(avatar_split_clause,[],[f108,f118,f114,f110]) ).

tff(f123,definition,
    ( spl4_4
  <=> f3($false) ),
    introduced(definition,[new_symbols(definition,[spl4_4])],[avatar_definition]) ).

tff(f126,plain,
    ( ~ spl4_1
    | ~ spl4_2
    | ~ spl4_4
    | spl4_3 ),
    inference(avatar_split_clause,[],[f107,f118,f123,f114,f110]) ).

tff(f127,plain,
    ( ~ spl4_1
    | ~ spl4_4
    | spl4_2
    | spl4_3 ),
    inference(avatar_split_clause,[],[f106,f118,f114,f123,f110]) ).

tff(f128,plain,
    ( spl4_1
    | spl4_2
    | ~ spl4_4
    | ~ spl4_3 ),
    inference(avatar_split_clause,[],[f105,f118,f123,f114,f110]) ).

tff(f129,plain,
    ( spl4_1
    | spl4_4
    | spl4_2
    | ~ spl4_3 ),
    inference(avatar_split_clause,[],[f104,f118,f114,f123,f110]) ).

tff(f130,plain,
    ( spl4_1
    | spl4_4
    | spl4_3 ),
    inference(avatar_split_clause,[],[f103,f118,f123,f110]) ).

tff(f132,definition,
    ( spl4_5
  <=> sP2 ),
    introduced(definition,[new_symbols(definition,[spl4_5])],[avatar_definition]) ).

tff(f136,definition,
    ( spl4_6
  <=> f2($true) ),
    introduced(definition,[new_symbols(definition,[spl4_6])],[avatar_definition]) ).

tff(f140,definition,
    ( spl4_7
  <=> f2($false) ),
    introduced(definition,[new_symbols(definition,[spl4_7])],[avatar_definition]) ).

tff(f145,plain,
    ( ~ spl4_5
    | spl4_6
    | ~ spl4_2
    | ~ spl4_3 ),
    inference(avatar_split_clause,[],[f100,f118,f114,f136,f132]) ).

tff(f146,plain,
    ( ~ spl4_5
    | spl4_6
    | ~ spl4_4
    | spl4_3 ),
    inference(avatar_split_clause,[],[f99,f118,f123,f136,f132]) ).

tff(f147,plain,
    ( ~ spl4_5
    | spl4_7
    | ~ spl4_6
    | ~ spl4_2
    | ~ spl4_3 ),
    inference(avatar_split_clause,[],[f98,f118,f114,f136,f140,f132]) ).

tff(f148,plain,
    ( ~ spl4_5
    | spl4_7
    | ~ spl4_6
    | ~ spl4_4
    | spl4_3 ),
    inference(avatar_split_clause,[],[f97,f118,f123,f136,f140,f132]) ).

tff(f149,plain,
    ( spl4_5
    | ~ spl4_6
    | spl4_7
    | spl4_2
    | ~ spl4_3 ),
    inference(avatar_split_clause,[],[f96,f118,f114,f140,f136,f132]) ).

tff(f150,plain,
    ( spl4_5
    | ~ spl4_6
    | spl4_7
    | spl4_4
    | spl4_3 ),
    inference(avatar_split_clause,[],[f95,f118,f123,f140,f136,f132]) ).

tff(f151,plain,
    ( spl4_5
    | ~ spl4_7
    | spl4_2
    | ~ spl4_3 ),
    inference(avatar_split_clause,[],[f94,f118,f114,f140,f132]) ).

tff(f152,plain,
    ( spl4_5
    | ~ spl4_7
    | spl4_4
    | spl4_3 ),
    inference(avatar_split_clause,[],[f93,f118,f123,f140,f132]) ).

tff(f156,definition,
    ( spl4_8
  <=> sP0 ),
    introduced(definition,[new_symbols(definition,[spl4_8])],[avatar_definition]) ).

tff(f160,definition,
    ( spl4_9
  <=> f1($false) ),
    introduced(definition,[new_symbols(definition,[spl4_9])],[avatar_definition]) ).

tff(f163,plain,
    ( ~ spl4_8
    | ~ spl4_9
    | ~ spl4_6
    | spl4_1 ),
    inference(avatar_split_clause,[],[f90,f110,f136,f160,f156]) ).

tff(f164,plain,
    ( ~ spl4_8
    | ~ spl4_9
    | ~ spl4_7
    | ~ spl4_1 ),
    inference(avatar_split_clause,[],[f89,f110,f140,f160,f156]) ).

tff(f166,definition,
    ( spl4_10
  <=> f1($true) ),
    introduced(definition,[new_symbols(definition,[spl4_10])],[avatar_definition]) ).

tff(f169,plain,
    ( ~ spl4_8
    | ~ spl4_9
    | ~ spl4_10
    | spl4_6
    | spl4_1 ),
    inference(avatar_split_clause,[],[f88,f110,f136,f166,f160,f156]) ).

tff(f170,plain,
    ( ~ spl4_8
    | ~ spl4_9
    | ~ spl4_10
    | spl4_7
    | ~ spl4_1 ),
    inference(avatar_split_clause,[],[f87,f110,f140,f166,f160,f156]) ).

tff(f171,plain,
    ( ~ spl4_8
    | ~ spl4_10
    | spl4_9
    | spl4_6
    | spl4_1 ),
    inference(avatar_split_clause,[],[f86,f110,f136,f160,f166,f156]) ).

tff(f172,plain,
    ( ~ spl4_8
    | ~ spl4_10
    | spl4_9
    | spl4_7
    | ~ spl4_1 ),
    inference(avatar_split_clause,[],[f85,f110,f140,f160,f166,f156]) ).

tff(f173,plain,
    ( spl4_8
    | spl4_9
    | ~ spl4_10
    | ~ spl4_6
    | spl4_1 ),
    inference(avatar_split_clause,[],[f84,f110,f136,f166,f160,f156]) ).

tff(f174,plain,
    ( spl4_8
    | spl4_9
    | ~ spl4_10
    | ~ spl4_7
    | ~ spl4_1 ),
    inference(avatar_split_clause,[],[f83,f110,f140,f166,f160,f156]) ).

tff(f175,plain,
    ( spl4_8
    | spl4_10
    | spl4_9
    | ~ spl4_6
    | spl4_1 ),
    inference(avatar_split_clause,[],[f82,f110,f136,f160,f166,f156]) ).

tff(f176,plain,
    ( spl4_8
    | spl4_10
    | spl4_9
    | ~ spl4_7
    | ~ spl4_1 ),
    inference(avatar_split_clause,[],[f81,f110,f140,f160,f166,f156]) ).

tff(f177,plain,
    ( spl4_8
    | spl4_10
    | spl4_6
    | spl4_1 ),
    inference(avatar_split_clause,[],[f80,f110,f136,f166,f156]) ).

tff(f178,plain,
    ( spl4_8
    | spl4_10
    | spl4_7
    | ~ spl4_1 ),
    inference(avatar_split_clause,[],[f79,f110,f140,f166,f156]) ).

tff(f180,definition,
    ( spl4_11
  <=> sP1 ),
    introduced(definition,[new_symbols(definition,[spl4_11])],[avatar_definition]) ).

tff(f184,definition,
    ( spl4_12
  <=> f0($true) ),
    introduced(definition,[new_symbols(definition,[spl4_12])],[avatar_definition]) ).

tff(f187,plain,
    ( spl4_11
    | ~ spl4_12
    | spl4_9
    | ~ spl4_6
    | spl4_5 ),
    inference(avatar_split_clause,[],[f78,f132,f136,f160,f184,f180]) ).

tff(f188,plain,
    ( spl4_11
    | ~ spl4_12
    | spl4_9
    | ~ spl4_7
    | ~ spl4_5 ),
    inference(avatar_split_clause,[],[f77,f132,f140,f160,f184,f180]) ).

tff(f189,plain,
    ( spl4_11
    | ~ spl4_12
    | spl4_10
    | spl4_6
    | spl4_5 ),
    inference(avatar_split_clause,[],[f76,f132,f136,f166,f184,f180]) ).

tff(f190,plain,
    ( spl4_11
    | ~ spl4_12
    | spl4_10
    | spl4_7
    | ~ spl4_5 ),
    inference(avatar_split_clause,[],[f75,f132,f140,f166,f184,f180]) ).

tff(f192,definition,
    ( spl4_13
  <=> f0($false) ),
    introduced(definition,[new_symbols(definition,[spl4_13])],[avatar_definition]) ).

tff(f195,plain,
    ( spl4_11
    | ~ spl4_13
    | ~ spl4_9
    | ~ spl4_6
    | spl4_5 ),
    inference(avatar_split_clause,[],[f74,f132,f136,f160,f192,f180]) ).

tff(f196,plain,
    ( spl4_11
    | ~ spl4_13
    | ~ spl4_9
    | ~ spl4_7
    | ~ spl4_5 ),
    inference(avatar_split_clause,[],[f73,f132,f140,f160,f192,f180]) ).

tff(f197,plain,
    ( spl4_11
    | ~ spl4_13
    | ~ spl4_10
    | spl4_6
    | spl4_5 ),
    inference(avatar_split_clause,[],[f72,f132,f136,f166,f192,f180]) ).

tff(f198,plain,
    ( spl4_11
    | ~ spl4_13
    | ~ spl4_10
    | spl4_7
    | ~ spl4_5 ),
    inference(avatar_split_clause,[],[f71,f132,f140,f166,f192,f180]) ).

tff(f199,plain,
    ( ~ spl4_11
    | spl4_12
    | spl4_9
    | ~ spl4_6
    | spl4_5 ),
    inference(avatar_split_clause,[],[f70,f132,f136,f160,f184,f180]) ).

tff(f200,plain,
    ( ~ spl4_11
    | spl4_12
    | spl4_9
    | ~ spl4_7
    | ~ spl4_5 ),
    inference(avatar_split_clause,[],[f69,f132,f140,f160,f184,f180]) ).

tff(f201,plain,
    ( ~ spl4_11
    | spl4_12
    | spl4_10
    | spl4_6
    | spl4_5 ),
    inference(avatar_split_clause,[],[f68,f132,f136,f166,f184,f180]) ).

tff(f202,plain,
    ( ~ spl4_11
    | spl4_12
    | spl4_10
    | spl4_7
    | ~ spl4_5 ),
    inference(avatar_split_clause,[],[f67,f132,f140,f166,f184,f180]) ).

tff(f203,plain,
    ( ~ spl4_11
    | spl4_13
    | ~ spl4_9
    | ~ spl4_6
    | spl4_5 ),
    inference(avatar_split_clause,[],[f66,f132,f136,f160,f192,f180]) ).

tff(f204,plain,
    ( ~ spl4_11
    | spl4_13
    | ~ spl4_9
    | ~ spl4_7
    | ~ spl4_5 ),
    inference(avatar_split_clause,[],[f65,f132,f140,f160,f192,f180]) ).

tff(f205,plain,
    ( ~ spl4_11
    | spl4_13
    | ~ spl4_10
    | spl4_6
    | spl4_5 ),
    inference(avatar_split_clause,[],[f64,f132,f136,f166,f192,f180]) ).

tff(f206,plain,
    ( ~ spl4_11
    | spl4_13
    | ~ spl4_10
    | spl4_7
    | ~ spl4_5 ),
    inference(avatar_split_clause,[],[f63,f132,f140,f166,f192,f180]) ).

tff(f207,plain,
    ( ~ spl4_12
    | ~ spl4_11
    | ~ spl4_13
    | spl4_8 ),
    inference(avatar_split_clause,[],[f51,f156,f192,f180,f184]) ).

tff(f209,plain,
    ( ~ spl4_12
    | ~ spl4_11
    | ~ spl4_8 ),
    inference(avatar_split_clause,[],[f53,f156,f180,f184]) ).

tff(f211,plain,
    ( ~ spl4_13
    | spl4_12
    | ~ spl4_11
    | spl4_8 ),
    inference(avatar_split_clause,[],[f55,f156,f180,f184,f192]) ).

tff(f212,plain,
    ( spl4_12
    | ~ spl4_13
    | spl4_11
    | ~ spl4_8 ),
    inference(avatar_split_clause,[],[f56,f156,f180,f192,f184]) ).

tff(f214,plain,
    ( spl4_13
    | spl4_11
    | spl4_8 ),
    inference(avatar_split_clause,[],[f58,f156,f180,f192]) ).

tff(f216,plain,
    ( spl4_13
    | spl4_11
    | spl4_12
    | ~ spl4_8 ),
    inference(avatar_split_clause,[],[f60,f156,f184,f180,f192]) ).

cnf(s1,plain,
    ( ~ spl4_1
    | ~ spl4_2
    | ~ spl4_3 ),
    inference(sat_conversion,[],[f121]) ).

cnf(s2,plain,
    ( ~ spl4_1
    | ~ spl4_2
    | spl4_3
    | ~ spl4_4 ),
    inference(sat_conversion,[],[f126]) ).

cnf(s3,plain,
    ( ~ spl4_1
    | spl4_2
    | spl4_3
    | ~ spl4_4 ),
    inference(sat_conversion,[],[f127]) ).

cnf(s4,plain,
    ( spl4_1
    | spl4_2
    | ~ spl4_3
    | ~ spl4_4 ),
    inference(sat_conversion,[],[f128]) ).

cnf(s5,plain,
    ( spl4_1
    | spl4_2
    | ~ spl4_3
    | spl4_4 ),
    inference(sat_conversion,[],[f129]) ).

cnf(s6,plain,
    ( spl4_1
    | spl4_3
    | spl4_4 ),
    inference(sat_conversion,[],[f130]) ).

cnf(s9,plain,
    ( ~ spl4_2
    | ~ spl4_3
    | ~ spl4_5
    | spl4_6 ),
    inference(sat_conversion,[],[f145]) ).

cnf(s10,plain,
    ( spl4_3
    | ~ spl4_4
    | ~ spl4_5
    | spl4_6 ),
    inference(sat_conversion,[],[f146]) ).

cnf(s11,plain,
    ( ~ spl4_2
    | ~ spl4_3
    | ~ spl4_5
    | ~ spl4_6
    | spl4_7 ),
    inference(sat_conversion,[],[f147]) ).

cnf(s12,plain,
    ( spl4_3
    | ~ spl4_4
    | ~ spl4_5
    | ~ spl4_6
    | spl4_7 ),
    inference(sat_conversion,[],[f148]) ).

cnf(s13,plain,
    ( spl4_2
    | ~ spl4_3
    | spl4_5
    | ~ spl4_6
    | spl4_7 ),
    inference(sat_conversion,[],[f149]) ).

cnf(s14,plain,
    ( spl4_3
    | spl4_4
    | spl4_5
    | ~ spl4_6
    | spl4_7 ),
    inference(sat_conversion,[],[f150]) ).

cnf(s15,plain,
    ( spl4_2
    | ~ spl4_3
    | spl4_5
    | ~ spl4_7 ),
    inference(sat_conversion,[],[f151]) ).

cnf(s16,plain,
    ( spl4_3
    | spl4_4
    | spl4_5
    | ~ spl4_7 ),
    inference(sat_conversion,[],[f152]) ).

cnf(s19,plain,
    ( spl4_1
    | ~ spl4_6
    | ~ spl4_8
    | ~ spl4_9 ),
    inference(sat_conversion,[],[f163]) ).

cnf(s20,plain,
    ( ~ spl4_1
    | ~ spl4_7
    | ~ spl4_8
    | ~ spl4_9 ),
    inference(sat_conversion,[],[f164]) ).

cnf(s21,plain,
    ( spl4_1
    | spl4_6
    | ~ spl4_8
    | ~ spl4_9
    | ~ spl4_10 ),
    inference(sat_conversion,[],[f169]) ).

cnf(s22,plain,
    ( ~ spl4_1
    | spl4_7
    | ~ spl4_8
    | ~ spl4_9
    | ~ spl4_10 ),
    inference(sat_conversion,[],[f170]) ).

cnf(s23,plain,
    ( spl4_1
    | spl4_6
    | ~ spl4_8
    | spl4_9
    | ~ spl4_10 ),
    inference(sat_conversion,[],[f171]) ).

cnf(s24,plain,
    ( ~ spl4_1
    | spl4_7
    | ~ spl4_8
    | spl4_9
    | ~ spl4_10 ),
    inference(sat_conversion,[],[f172]) ).

cnf(s25,plain,
    ( spl4_1
    | ~ spl4_6
    | spl4_8
    | spl4_9
    | ~ spl4_10 ),
    inference(sat_conversion,[],[f173]) ).

cnf(s26,plain,
    ( ~ spl4_1
    | ~ spl4_7
    | spl4_8
    | spl4_9
    | ~ spl4_10 ),
    inference(sat_conversion,[],[f174]) ).

cnf(s27,plain,
    ( spl4_1
    | ~ spl4_6
    | spl4_8
    | spl4_9
    | spl4_10 ),
    inference(sat_conversion,[],[f175]) ).

cnf(s28,plain,
    ( ~ spl4_1
    | ~ spl4_7
    | spl4_8
    | spl4_9
    | spl4_10 ),
    inference(sat_conversion,[],[f176]) ).

cnf(s29,plain,
    ( spl4_1
    | spl4_6
    | spl4_8
    | spl4_10 ),
    inference(sat_conversion,[],[f177]) ).

cnf(s30,plain,
    ( ~ spl4_1
    | spl4_7
    | spl4_8
    | spl4_10 ),
    inference(sat_conversion,[],[f178]) ).

cnf(s31,plain,
    ( spl4_5
    | ~ spl4_6
    | spl4_9
    | spl4_11
    | ~ spl4_12 ),
    inference(sat_conversion,[],[f187]) ).

cnf(s32,plain,
    ( ~ spl4_5
    | ~ spl4_7
    | spl4_9
    | spl4_11
    | ~ spl4_12 ),
    inference(sat_conversion,[],[f188]) ).

cnf(s33,plain,
    ( spl4_5
    | spl4_6
    | spl4_10
    | spl4_11
    | ~ spl4_12 ),
    inference(sat_conversion,[],[f189]) ).

cnf(s34,plain,
    ( ~ spl4_5
    | spl4_7
    | spl4_10
    | spl4_11
    | ~ spl4_12 ),
    inference(sat_conversion,[],[f190]) ).

cnf(s35,plain,
    ( spl4_5
    | ~ spl4_6
    | ~ spl4_9
    | spl4_11
    | ~ spl4_13 ),
    inference(sat_conversion,[],[f195]) ).

cnf(s36,plain,
    ( ~ spl4_5
    | ~ spl4_7
    | ~ spl4_9
    | spl4_11
    | ~ spl4_13 ),
    inference(sat_conversion,[],[f196]) ).

cnf(s37,plain,
    ( spl4_5
    | spl4_6
    | ~ spl4_10
    | spl4_11
    | ~ spl4_13 ),
    inference(sat_conversion,[],[f197]) ).

cnf(s38,plain,
    ( ~ spl4_5
    | spl4_7
    | ~ spl4_10
    | spl4_11
    | ~ spl4_13 ),
    inference(sat_conversion,[],[f198]) ).

cnf(s39,plain,
    ( spl4_5
    | ~ spl4_6
    | spl4_9
    | ~ spl4_11
    | spl4_12 ),
    inference(sat_conversion,[],[f199]) ).

cnf(s40,plain,
    ( ~ spl4_5
    | ~ spl4_7
    | spl4_9
    | ~ spl4_11
    | spl4_12 ),
    inference(sat_conversion,[],[f200]) ).

cnf(s41,plain,
    ( spl4_5
    | spl4_6
    | spl4_10
    | ~ spl4_11
    | spl4_12 ),
    inference(sat_conversion,[],[f201]) ).

cnf(s42,plain,
    ( ~ spl4_5
    | spl4_7
    | spl4_10
    | ~ spl4_11
    | spl4_12 ),
    inference(sat_conversion,[],[f202]) ).

cnf(s43,plain,
    ( spl4_5
    | ~ spl4_6
    | ~ spl4_9
    | ~ spl4_11
    | spl4_13 ),
    inference(sat_conversion,[],[f203]) ).

cnf(s44,plain,
    ( ~ spl4_5
    | ~ spl4_7
    | ~ spl4_9
    | ~ spl4_11
    | spl4_13 ),
    inference(sat_conversion,[],[f204]) ).

cnf(s45,plain,
    ( spl4_5
    | spl4_6
    | ~ spl4_10
    | ~ spl4_11
    | spl4_13 ),
    inference(sat_conversion,[],[f205]) ).

cnf(s46,plain,
    ( ~ spl4_5
    | spl4_7
    | ~ spl4_10
    | ~ spl4_11
    | spl4_13 ),
    inference(sat_conversion,[],[f206]) ).

cnf(s47,plain,
    ( spl4_8
    | ~ spl4_11
    | ~ spl4_12
    | ~ spl4_13 ),
    inference(sat_conversion,[],[f207]) ).

cnf(s49,plain,
    ( ~ spl4_8
    | ~ spl4_11
    | ~ spl4_12 ),
    inference(sat_conversion,[],[f209]) ).

cnf(s51,plain,
    ( spl4_8
    | ~ spl4_11
    | spl4_12
    | ~ spl4_13 ),
    inference(sat_conversion,[],[f211]) ).

cnf(s52,plain,
    ( ~ spl4_8
    | spl4_11
    | spl4_12
    | ~ spl4_13 ),
    inference(sat_conversion,[],[f212]) ).

cnf(s54,plain,
    ( spl4_8
    | spl4_11
    | spl4_13 ),
    inference(sat_conversion,[],[f214]) ).

cnf(s56,plain,
    ( ~ spl4_8
    | spl4_11
    | spl4_12
    | spl4_13 ),
    inference(sat_conversion,[],[f216]) ).

cnf(s57,plain,
    ( spl4_11
    | ~ spl4_10
    | spl4_8
    | spl4_6
    | spl4_5 ),
    inference(rat,[],[s37,s54]) ).

cnf(s58,plain,
    ( ~ spl4_13
    | spl4_8
    | ~ spl4_11 ),
    inference(rat,[],[s51,s47]) ).

cnf(s59,plain,
    ( ~ spl4_10
    | spl4_8
    | spl4_5
    | spl4_6 ),
    inference(rat,[],[s58,s45,s57]) ).

cnf(s60,plain,
    ( spl4_8
    | spl4_6
    | spl4_5
    | spl4_1 ),
    inference(rat,[],[s59,s29]) ).

cnf(s61,plain,
    ( ~ spl4_10
    | ~ spl4_8
    | spl4_1
    | spl4_6 ),
    inference(rat,[],[s21,s23]) ).

cnf(s62,plain,
    ( spl4_12
    | spl4_11
    | ~ spl4_8 ),
    inference(rat,[],[s52,s56]) ).

cnf(s63,plain,
    ( spl4_11
    | spl4_10
    | ~ spl4_8
    | spl4_6
    | spl4_5 ),
    inference(rat,[],[s62,s33]) ).

cnf(s64,plain,
    ( spl4_10
    | ~ spl4_8
    | spl4_5
    | spl4_6 ),
    inference(rat,[],[s49,s41,s63]) ).

cnf(s65,plain,
    ( spl4_6
    | spl4_5
    | spl4_1 ),
    inference(rat,[],[s64,s61,s60]) ).

cnf(s66,plain,
    ( spl4_11
    | ~ spl4_9
    | spl4_8
    | ~ spl4_6
    | spl4_5 ),
    inference(rat,[],[s35,s54]) ).

cnf(s67,plain,
    ( ~ spl4_9
    | spl4_8
    | spl4_5
    | ~ spl4_6 ),
    inference(rat,[],[s58,s43,s66]) ).

cnf(s68,plain,
    ( spl4_9
    | spl4_8
    | spl4_1
    | ~ spl4_6 ),
    inference(rat,[],[s27,s25]) ).

cnf(s69,plain,
    ( spl4_8
    | spl4_5
    | spl4_1 ),
    inference(rat,[],[s68,s67,s65]) ).

cnf(s70,plain,
    ( spl4_11
    | spl4_9
    | ~ spl4_8
    | ~ spl4_6
    | spl4_5 ),
    inference(rat,[],[s31,s62]) ).

cnf(s71,plain,
    ( spl4_9
    | spl4_5
    | ~ spl4_8
    | ~ spl4_6 ),
    inference(rat,[],[s39,s49,s70]) ).

cnf(s72,plain,
    ( spl4_5
    | spl4_1 ),
    inference(rat,[],[s71,s19,s69,s65]) ).

cnf(s73,plain,
    ( spl4_11
    | ~ spl4_9
    | spl4_8
    | ~ spl4_7
    | ~ spl4_5 ),
    inference(rat,[],[s36,s54]) ).

cnf(s74,plain,
    ( ~ spl4_9
    | spl4_8
    | ~ spl4_5
    | ~ spl4_7 ),
    inference(rat,[],[s44,s58,s73]) ).

cnf(s75,plain,
    ( spl4_8
    | spl4_3
    | spl4_1 ),
    inference(rat,[],[s74,s68,s12,s10,s6,s72]) ).

cnf(s76,plain,
    ( spl4_11
    | spl4_9
    | ~ spl4_8
    | ~ spl4_7
    | ~ spl4_5 ),
    inference(rat,[],[s62,s32]) ).

cnf(s77,plain,
    ( spl4_9
    | ~ spl4_8
    | ~ spl4_5
    | ~ spl4_7 ),
    inference(rat,[],[s49,s40,s76]) ).

cnf(s78,plain,
    ( spl4_3
    | spl4_1 ),
    inference(rat,[],[s77,s19,s75,s12,s10,s6,s72]) ).

cnf(s79,plain,
    ( ~ spl4_3
    | spl4_2
    | spl4_1 ),
    inference(rat,[],[s4,s5]) ).

cnf(s80,plain,
    ( spl4_8
    | spl4_1 ),
    inference(rat,[],[s74,s68,s11,s9,s72,s79,s78]) ).

cnf(s81,plain,
    spl4_1,
    inference(rat,[],[s77,s19,s80,s11,s9,s79,s78,s72]) ).

cnf(s82,plain,
    ( ~ spl4_4
    | spl4_3 ),
    inference(rat,[],[s3,s2,s81]) ).

cnf(s83,plain,
    ( spl4_3
    | ~ spl4_7
    | spl4_5 ),
    inference(rat,[],[s82,s16]) ).

cnf(s84,plain,
    ( ~ spl4_3
    | ~ spl4_7
    | spl4_5 ),
    inference(rat,[],[s1,s15,s81]) ).

cnf(s85,plain,
    ( ~ spl4_7
    | spl4_5 ),
    inference(rat,[],[s84,s83]) ).

cnf(s86,plain,
    ( spl4_3
    | ~ spl4_6
    | spl4_5 ),
    inference(rat,[],[s14,s82,s85]) ).

cnf(s87,plain,
    ( ~ spl4_3
    | spl4_7
    | spl4_5
    | ~ spl4_6 ),
    inference(rat,[],[s1,s13,s81]) ).

cnf(s88,plain,
    ( spl4_5
    | spl4_8 ),
    inference(rat,[],[s87,s86,s59,s30,s85,s81]) ).

cnf(s89,plain,
    ( spl4_9
    | ~ spl4_7
    | spl4_8 ),
    inference(rat,[],[s26,s28,s81]) ).

cnf(s90,plain,
    ( ~ spl4_7
    | ~ spl4_5
    | spl4_8 ),
    inference(rat,[],[s89,s74]) ).

cnf(s93,plain,
    ( spl4_11
    | spl4_8 ),
    inference(rat,[],[s38,s54,s30,s90,s88,s81]) ).

cnf(s94,plain,
    ( ~ spl4_5
    | spl4_8 ),
    inference(rat,[],[s46,s58,s93,s30,s90,s81]) ).

cnf(s95,plain,
    spl4_8,
    inference(rat,[],[s94,s88]) ).

cnf(s96,plain,
    ( ~ spl4_10
    | spl4_7 ),
    inference(rat,[],[s22,s24,s95,s81]) ).

cnf(s97,plain,
    spl4_5,
    inference(rat,[],[s87,s86,s64,s96,s85,s95]) ).

cnf(s100,plain,
    ( spl4_11
    | spl4_7 ),
    inference(rat,[],[s34,s62,s96,s97,s95]) ).

cnf(s101,plain,
    spl4_7,
    inference(rat,[],[s42,s49,s100,s96,s97,s95]) ).

cnf(s102,plain,
    ~ spl4_9,
    inference(rat,[],[s20,s95,s81,s101]) ).

cnf(s103,plain,
    $false,
    inference(rat,[],[s77,s97,s95,s101,s102]) ).

tff(f217,plain,
    $false,
    inference(avatar_sat_refutation,[],[s103]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYO500_8.004 : TPTP v9.3.1. Released v8.0.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.25  % Computer : n016.cluster.edu
% 0.12/0.25  % Model    : x86_64 x86_64
% 0.12/0.25  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.25  % Memory   : 8046.5625MB
% 0.12/0.25  % OS       : Linux 6.8.0-71-generic
% 0.12/0.25  % CPULimit : 300
% 0.12/0.25  % WCLimit  : 300
% 0.12/0.25  % DateTime : Mon Sep 28 17:51:19 UTC 2026
% 0.12/0.25  % CPUTime  : 
% 0.12/0.25  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.28/0.30  Running first-order model finding
% 0.28/0.30  Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.28/0.34  % (3834284)Will run a generic schedule for satisfiability detection.
% 0.28/0.34  % (3834290)% WARNING: option uhcvi not known.
% 0.28/0.34  % (3834289)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=683081010_2999 on theBenchmark for (2999ds/0Mi)
% 0.28/0.34  % (3834290)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=884872097:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.28/0.34  % (3834291)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3574339588:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.28/0.34  % (3834293)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2327579451:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.28/0.34  % (3834294)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=278046625:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.28/0.34  % (3834292)dis+10_1_sil=32000:sp=arity:random_seed=1398372485:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.28/0.34  % Detected minimum model sizes of [1]
% 0.28/0.34  % Detected maximum model sizes of [18]
% 0.28/0.34  % TRYING [1]
% 0.28/0.34  % TRYING [2]
% 0.28/0.34  % (3834290) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3834284-3834290"...
% 0.28/0.34  % (3834295)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3456525229:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.28/0.34  % TRYING [3]
% 0.28/0.34  % (3834293) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3834284-3834293"...
% 0.28/0.34  % TRYING [4]
% 0.28/0.34  % TRYING [5]
% 0.28/0.34  % (3834290)...printing done.
% 0.28/0.34  % TRYING [6]
% 0.28/0.34  % (3834293)...printing done.
% 0.28/0.34  % (3834290)Refutation found. Thanks to Tanya!
% 0.28/0.34  % SZS status Theorem for theBenchmark
% 0.28/0.34  % SZS output start Proof for theBenchmark
% See solution above
% 0.28/0.34  % (3834290)------------------------------
% 0.28/0.34  % (3834290)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.28/0.34  % (3834290)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.28/0.34  % (3834290)CaDiCaL version: 2.1.3
% 0.28/0.34  % (3834290)Termination reason: Refutation
% 0.28/0.34  % (3834290)Time elapsed: 0.004 s
% 0.28/0.34  % (3834290)Peak memory usage: 12 MB
% 0.28/0.34  % (3834290)Instructions burned: 6 (million)
% 0.28/0.34  % (3834284)Success in time 0.028 s
% 0.28/0.34  % Vampire exiting
%------------------------------------------------------------------------------