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Vampire---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : PUZ030-2 : TPTP v9.3.1. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n005.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 12:31:17 PM UTC 2026

% Result   : Unsatisfiable 1.68s 1.12s
% Output   : Refutation 2.51s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   46
% Syntax   : Number of formulae    :  133 (  10 unt;  10 def)
%            Number of atoms       :  398 (   0 equ)
%            Maximal formula atoms :   10 (   2 avg)
%            Number of connectives :  439 ( 174   ~; 255   |;   0   &)
%                                         (  10 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    0 (   0 avg)
%            Number of predicates  :   21 (  20 usr;  21 prp; 0-0 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :    0 (   0 sgn   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ( ~ salt_mill
    | mustard_barry
    | mustard_lang ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c1) ).

fof(f3,axiom,
    ( ~ salt_mill
    | salt_barry
    | mustard_lang ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c3) ).

fof(f5,axiom,
    ( ~ mustard_lang
    | ~ mustard_cole
    | ~ mustard_mill ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c5) ).

fof(f6,axiom,
    ( ~ mustard_lang
    | ~ mustard_cole
    | ~ salt_mill ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c6) ).

fof(f7,axiom,
    ( ~ mustard_lang
    | ~ salt_cole
    | ~ mustard_mill ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c7) ).

fof(f9,axiom,
    ( ~ mustard_dix
    | ~ mustard_lang
    | ~ mustard_mill ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c9) ).

fof(f11,axiom,
    ( ~ mustard_dix
    | ~ salt_lang
    | ~ mustard_mill ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c11) ).

fof(f15,axiom,
    ( ~ salt_dix
    | ~ salt_barry
    | mustard_cole ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c15) ).

fof(f16,axiom,
    ( ~ salt_dix
    | ~ salt_barry
    | salt_cole ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c16) ).

fof(f17,axiom,
    ( ~ mustard_cole
    | mustard_dix
    | mustard_lang ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c17) ).

fof(f19,axiom,
    ( ~ mustard_cole
    | salt_dix
    | mustard_lang ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c19) ).

fof(f21,axiom,
    ( ~ mustard_barry
    | ~ mustard_dix
    | mustard_mill ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c21) ).

fof(f22,axiom,
    ( ~ mustard_barry
    | ~ mustard_dix
    | salt_mill ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c22) ).

fof(f25,axiom,
    ( salt_dix
    | ~ mustard_dix
    | mustard_mill ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c25) ).

fof(f26,axiom,
    ( ~ salt_dix
    | mustard_dix
    | mustard_mill ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c26) ).

fof(f28,axiom,
    ( ~ salt_cole
    | mustard_cole
    | mustard_mill ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c28) ).

fof(f29,axiom,
    ( ~ salt_lang
    | ~ mustard_lang
    | salt_mill ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c29) ).

fof(f30,axiom,
    ( ~ salt_barry
    | ~ mustard_barry
    | salt_mill ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c30) ).

fof(f31,axiom,
    ( salt_dix
    | ~ mustard_dix
    | salt_lang ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c31) ).

fof(f32,axiom,
    ( ~ salt_dix
    | mustard_dix
    | salt_lang ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c32) ).

fof(f34,axiom,
    ( ~ salt_barry
    | mustard_barry
    | salt_lang ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c34) ).

fof(f36,axiom,
    ( ~ salt_lang
    | ~ mustard_lang
    | mustard_cole ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c36) ).

fof(f37,axiom,
    ( ~ salt_dix
    | ~ mustard_dix
    | mustard_cole ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c37) ).

fof(f38,axiom,
    ( salt_barry
    | ~ mustard_barry
    | salt_cole ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c38) ).

fof(f41,axiom,
    ( salt_lang
    | ~ mustard_lang
    | salt_barry ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c41) ).

fof(f42,axiom,
    ( ~ salt_lang
    | mustard_lang
    | salt_barry ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c42) ).

fof(f43,axiom,
    ( salt_cole
    | ~ mustard_cole
    | salt_barry ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c43) ).

fof(f46,axiom,
    ( ~ salt_cole
    | ~ mustard_barry
    | ~ salt_barry
    | ~ salt_mill ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c46) ).

fof(f47,axiom,
    ( ~ salt_cole
    | salt_barry
    | mustard_barry
    | ~ mustard_mill ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c47) ).

fof(f50,axiom,
    ( ~ mustard_mill
    | salt_cole
    | mustard_cole
    | salt_dix
    | mustard_dix ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c50) ).

fof(f56,axiom,
    ( salt_mill
    | mustard_mill
    | mustard_lang ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c56) ).

fof(f57,axiom,
    ( salt_cole
    | mustard_cole
    | mustard_lang ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c57) ).

fof(f58,axiom,
    ( salt_mill
    | mustard_mill
    | mustard_dix ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c58) ).

fof(f59,axiom,
    ( salt_lang
    | mustard_lang
    | mustard_dix ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c59) ).

fof(f62,axiom,
    ( salt_dix
    | mustard_dix
    | mustard_barry ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c62) ).

fof(f63,negated_conjecture,
    ( salt_lang
    | ~ mustard_barry
    | ~ salt_barry
    | ~ salt_mill
    | ~ mustard_lang
    | salt_cole
    | mustard_cole
    | salt_dix
    | mustard_dix
    | mustard_mill ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_who_takes_what) ).

fof(f65,definition,
    ( spl0_1
  <=> mustard_mill ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f68,definition,
    ( spl0_2
  <=> mustard_dix ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f71,definition,
    ( spl0_3
  <=> salt_dix ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

fof(f74,definition,
    ( spl0_4
  <=> mustard_cole ),
    introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).

fof(f77,definition,
    ( spl0_5
  <=> salt_cole ),
    introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).

fof(f80,definition,
    ( spl0_6
  <=> mustard_lang ),
    introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).

fof(f83,definition,
    ( spl0_7
  <=> salt_mill ),
    introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).

fof(f86,definition,
    ( spl0_8
  <=> salt_barry ),
    introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).

fof(f89,definition,
    ( spl0_9
  <=> mustard_barry ),
    introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).

fof(f92,definition,
    ( spl0_10
  <=> salt_lang ),
    introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).

fof(f94,plain,
    ( spl0_1
    | spl0_2
    | spl0_3
    | spl0_4
    | spl0_5
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | spl0_10 ),
    inference(avatar_split_clause,[],[f63,f92,f89,f86,f83,f80,f77,f74,f71,f68,f65]) ).

fof(f96,plain,
    ( spl0_9
    | spl0_2
    | spl0_3 ),
    inference(avatar_split_clause,[],[f62,f71,f68,f89]) ).

fof(f102,plain,
    ( spl0_2
    | spl0_6
    | spl0_10 ),
    inference(avatar_split_clause,[],[f59,f92,f80,f68]) ).

fof(f103,plain,
    ( spl0_2
    | spl0_1
    | spl0_7 ),
    inference(avatar_split_clause,[],[f58,f83,f65,f68]) ).

fof(f104,plain,
    ( spl0_6
    | spl0_4
    | spl0_5 ),
    inference(avatar_split_clause,[],[f57,f77,f74,f80]) ).

fof(f105,plain,
    ( spl0_6
    | spl0_1
    | spl0_7 ),
    inference(avatar_split_clause,[],[f56,f83,f65,f80]) ).

fof(f117,plain,
    ( spl0_2
    | spl0_3
    | spl0_4
    | spl0_5
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f50,f65,f77,f74,f71,f68]) ).

fof(f120,plain,
    ( ~ spl0_1
    | spl0_9
    | spl0_8
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f47,f77,f86,f89,f65]) ).

fof(f121,plain,
    ( ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f46,f77,f89,f86,f83]) ).

fof(f124,plain,
    ( spl0_8
    | ~ spl0_4
    | spl0_5 ),
    inference(avatar_split_clause,[],[f43,f77,f74,f86]) ).

fof(f125,plain,
    ( spl0_8
    | spl0_6
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f42,f92,f80,f86]) ).

fof(f126,plain,
    ( spl0_8
    | ~ spl0_6
    | spl0_10 ),
    inference(avatar_split_clause,[],[f41,f92,f80,f86]) ).

fof(f129,plain,
    ( spl0_5
    | ~ spl0_9
    | spl0_8 ),
    inference(avatar_split_clause,[],[f38,f86,f89,f77]) ).

fof(f130,plain,
    ( spl0_4
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f37,f71,f68,f74]) ).

fof(f131,plain,
    ( spl0_4
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f36,f92,f80,f74]) ).

fof(f133,plain,
    ( spl0_10
    | spl0_9
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f34,f86,f89,f92]) ).

fof(f135,plain,
    ( spl0_10
    | spl0_2
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f32,f71,f68,f92]) ).

fof(f136,plain,
    ( spl0_10
    | ~ spl0_2
    | spl0_3 ),
    inference(avatar_split_clause,[],[f31,f71,f68,f92]) ).

fof(f137,plain,
    ( spl0_7
    | ~ spl0_9
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f30,f86,f89,f83]) ).

fof(f138,plain,
    ( spl0_7
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f29,f92,f80,f83]) ).

fof(f139,plain,
    ( spl0_1
    | spl0_4
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f28,f77,f74,f65]) ).

fof(f141,plain,
    ( spl0_1
    | spl0_2
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f26,f71,f68,f65]) ).

fof(f142,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_3 ),
    inference(avatar_split_clause,[],[f25,f71,f68,f65]) ).

fof(f145,plain,
    ( spl0_7
    | ~ spl0_2
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f22,f89,f68,f83]) ).

fof(f146,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f21,f89,f68,f65]) ).

fof(f148,plain,
    ( spl0_6
    | spl0_3
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f19,f74,f71,f80]) ).

fof(f150,plain,
    ( spl0_6
    | spl0_2
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f17,f74,f68,f80]) ).

fof(f151,plain,
    ( spl0_5
    | ~ spl0_8
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f16,f71,f86,f77]) ).

fof(f152,plain,
    ( spl0_4
    | ~ spl0_8
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f15,f71,f86,f74]) ).

fof(f156,plain,
    ( ~ spl0_1
    | ~ spl0_10
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f11,f68,f92,f65]) ).

fof(f158,plain,
    ( ~ spl0_1
    | ~ spl0_6
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f9,f68,f80,f65]) ).

fof(f160,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f7,f80,f77,f65]) ).

fof(f161,plain,
    ( ~ spl0_7
    | ~ spl0_4
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f6,f80,f74,f83]) ).

fof(f162,plain,
    ( ~ spl0_1
    | ~ spl0_4
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f5,f80,f74,f65]) ).

fof(f164,plain,
    ( spl0_6
    | spl0_8
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f3,f83,f86,f80]) ).

fof(f166,plain,
    ( spl0_6
    | spl0_9
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f1,f83,f89,f80]) ).

cnf(s1,plain,
    ( spl0_1
    | spl0_2
    | spl0_3
    | spl0_4
    | spl0_5
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | spl0_10 ),
    inference(sat_conversion,[],[f94]) ).

cnf(s2,plain,
    ( spl0_2
    | spl0_3
    | spl0_9 ),
    inference(sat_conversion,[],[f96]) ).

cnf(s5,plain,
    ( spl0_2
    | spl0_6
    | spl0_10 ),
    inference(sat_conversion,[],[f102]) ).

cnf(s6,plain,
    ( spl0_1
    | spl0_2
    | spl0_7 ),
    inference(sat_conversion,[],[f103]) ).

cnf(s7,plain,
    ( spl0_4
    | spl0_5
    | spl0_6 ),
    inference(sat_conversion,[],[f104]) ).

cnf(s8,plain,
    ( spl0_1
    | spl0_6
    | spl0_7 ),
    inference(sat_conversion,[],[f105]) ).

cnf(s14,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_3
    | spl0_4
    | spl0_5 ),
    inference(sat_conversion,[],[f117]) ).

cnf(s17,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | spl0_8
    | spl0_9 ),
    inference(sat_conversion,[],[f120]) ).

cnf(s18,plain,
    ( ~ spl0_5
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(sat_conversion,[],[f121]) ).

cnf(s21,plain,
    ( ~ spl0_4
    | spl0_5
    | spl0_8 ),
    inference(sat_conversion,[],[f124]) ).

cnf(s22,plain,
    ( spl0_6
    | spl0_8
    | ~ spl0_10 ),
    inference(sat_conversion,[],[f125]) ).

cnf(s23,plain,
    ( ~ spl0_6
    | spl0_8
    | spl0_10 ),
    inference(sat_conversion,[],[f126]) ).

cnf(s26,plain,
    ( spl0_5
    | spl0_8
    | ~ spl0_9 ),
    inference(sat_conversion,[],[f129]) ).

cnf(s27,plain,
    ( ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(sat_conversion,[],[f130]) ).

cnf(s28,plain,
    ( spl0_4
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(sat_conversion,[],[f131]) ).

cnf(s30,plain,
    ( ~ spl0_8
    | spl0_9
    | spl0_10 ),
    inference(sat_conversion,[],[f133]) ).

cnf(s32,plain,
    ( spl0_2
    | ~ spl0_3
    | spl0_10 ),
    inference(sat_conversion,[],[f135]) ).

cnf(s33,plain,
    ( ~ spl0_2
    | spl0_3
    | spl0_10 ),
    inference(sat_conversion,[],[f136]) ).

cnf(s34,plain,
    ( spl0_7
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(sat_conversion,[],[f137]) ).

cnf(s35,plain,
    ( ~ spl0_6
    | spl0_7
    | ~ spl0_10 ),
    inference(sat_conversion,[],[f138]) ).

cnf(s36,plain,
    ( spl0_1
    | spl0_4
    | ~ spl0_5 ),
    inference(sat_conversion,[],[f139]) ).

cnf(s38,plain,
    ( spl0_1
    | spl0_2
    | ~ spl0_3 ),
    inference(sat_conversion,[],[f141]) ).

cnf(s39,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_3 ),
    inference(sat_conversion,[],[f142]) ).

cnf(s42,plain,
    ( ~ spl0_2
    | spl0_7
    | ~ spl0_9 ),
    inference(sat_conversion,[],[f145]) ).

cnf(s43,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_9 ),
    inference(sat_conversion,[],[f146]) ).

cnf(s45,plain,
    ( spl0_3
    | ~ spl0_4
    | spl0_6 ),
    inference(sat_conversion,[],[f148]) ).

cnf(s47,plain,
    ( spl0_2
    | ~ spl0_4
    | spl0_6 ),
    inference(sat_conversion,[],[f150]) ).

cnf(s48,plain,
    ( ~ spl0_3
    | spl0_5
    | ~ spl0_8 ),
    inference(sat_conversion,[],[f151]) ).

cnf(s49,plain,
    ( ~ spl0_3
    | spl0_4
    | ~ spl0_8 ),
    inference(sat_conversion,[],[f152]) ).

cnf(s53,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_10 ),
    inference(sat_conversion,[],[f156]) ).

cnf(s55,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6 ),
    inference(sat_conversion,[],[f158]) ).

cnf(s57,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(sat_conversion,[],[f160]) ).

cnf(s58,plain,
    ( ~ spl0_4
    | ~ spl0_6
    | ~ spl0_7 ),
    inference(sat_conversion,[],[f161]) ).

cnf(s59,plain,
    ( ~ spl0_1
    | ~ spl0_4
    | ~ spl0_6 ),
    inference(sat_conversion,[],[f162]) ).

cnf(s61,plain,
    ( spl0_6
    | ~ spl0_7
    | spl0_8 ),
    inference(sat_conversion,[],[f164]) ).

cnf(s63,plain,
    ( spl0_6
    | ~ spl0_7
    | spl0_9 ),
    inference(sat_conversion,[],[f166]) ).

cnf(s64,plain,
    ( spl0_4
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s1,s28,s26,s7,s36,s6,s2,s38]) ).

cnf(s65,plain,
    ( spl0_2
    | spl0_1 ),
    inference(rat,[],[s47,s58,s64,s6]) ).

cnf(s66,plain,
    ( ~ spl0_6
    | spl0_1 ),
    inference(rat,[],[s30,s23,s35,s58,s43,s27,s39,s65]) ).

cnf(s67,plain,
    ( ~ spl0_2
    | spl0_1 ),
    inference(rat,[],[s63,s8,s66,s43]) ).

cnf(s68,plain,
    spl0_1,
    inference(rat,[],[s67,s65]) ).

cnf(s69,plain,
    ~ spl0_6,
    inference(rat,[],[s14,s32,s28,s55,s57,s59,s68]) ).

cnf(s70,plain,
    ( ~ spl0_2
    | spl0_9 ),
    inference(rat,[],[s21,s17,s27,s30,s33,s53,s68]) ).

cnf(s71,plain,
    spl0_9,
    inference(rat,[],[s49,s22,s2,s47,s5,s70,s69]) ).

cnf(s72,plain,
    spl0_7,
    inference(rat,[],[s22,s5,s34,s42,s69,s71]) ).

cnf(s73,plain,
    spl0_8,
    inference(rat,[],[s61,s69,s72]) ).

cnf(s74,plain,
    ~ spl0_5,
    inference(rat,[],[s18,s71,s72,s73]) ).

cnf(s75,plain,
    ~ spl0_3,
    inference(rat,[],[s48,s74,s73]) ).

cnf(s76,plain,
    spl0_4,
    inference(rat,[],[s7,s69,s74]) ).

cnf(s77,plain,
    $false,
    inference(rat,[],[s45,s69,s75,s76]) ).

fof(f167,plain,
    $false,
    inference(avatar_sat_refutation,[],[s77]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : PUZ030-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.37  % Computer : n005.cluster.edu
% 0.11/0.37  % Model    : x86_64 x86_64
% 0.11/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37  % Memory   : 8046.5625MB
% 0.11/0.37  % OS       : Linux 6.8.0-71-generic
% 0.11/0.37  % CPULimit : 300
% 0.11/0.37  % WCLimit  : 300
% 0.11/0.37  % DateTime : Sun Sep 27 22:30:47 UTC 2026
% 0.11/0.37  % CPUTime  : 
% 0.11/0.37  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.40  Running first-order theorem proving
% 0.11/0.40  Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.68/1.12  % (235041)Input is clausal, will run a generic CNF schedule.
% 1.68/1.12  % (235050)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3839803711:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 1.68/1.12  % (235050)First to succeed.
% 1.68/1.12  % (235050)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-235041"
% 1.68/1.12  % (235049)lrs+10_1_sil=8000:sp=occurrence:random_seed=1685076728:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 1.68/1.12  % (235047)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3305317774:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 1.68/1.12  % (235049)Also succeeded, but the first one will report.
% 1.68/1.12  % (235052)dis-21_1_sil=8000:lcm=predicate:random_seed=3372499173:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 1.68/1.12  % (235051)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3446410398:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 1.68/1.12  % (235046)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=2699752622:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 1.68/1.12  % (235048)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3305946505:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 1.68/1.12  % (235052)Also succeeded, but the first one will report.
% 1.68/1.12  % (235051)Also succeeded, but the first one will report.
% 1.68/1.12  % (235050)Refutation found. Thanks to Tanya!
% 1.68/1.12  % SZS status Unsatisfiable for theBenchmark
% 1.68/1.12  % SZS output start Proof for theBenchmark
% See solution above
% 2.51/1.31  % (235050)------------------------------
% 2.51/1.31  % (235050)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.51/1.31  % (235050)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.51/1.31  % (235050)CaDiCaL version: 2.1.3
% 2.51/1.31  % (235050)Termination reason: Refutation
% 2.51/1.31  % (235050)Time elapsed: 0.002 s
% 2.51/1.31  % (235050)Peak memory usage: 88 MB
% 2.51/1.31  % (235050)Instructions burned: 3 (million)
% 2.51/1.31  % (235050)------------------------------
% 2.51/1.31  % (235050)------------------------------
% 2.51/1.31  % (235041)Success in time 0.269 s
% 2.51/1.31  % Vampire exiting
%------------------------------------------------------------------------------