TSTP Solution File: PUZ013-1 by SnakeForV-SAT---1.0

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%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : PUZ013-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n022.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 : Wed Aug 31 18:11:30 EDT 2022

% Result   : Unsatisfiable 0.19s 0.50s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   24 (   7 unt;   0 def)
%            Number of atoms       :   51 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   47 (  20   ~;  20   |;   0   &)
%                                         (   7 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    0 (   0 avg)
%            Number of predicates  :   15 (  14 usr;  15 prp; 0-0 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :    0 (   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f93,plain,
    $false,
    inference(avatar_sat_refutation,[],[f52,f61,f76,f77,f79,f80,f89,f92]) ).

fof(f92,plain,
    ( ~ spl0_1
    | ~ spl0_6
    | ~ spl0_8
    | spl0_7 ),
    inference(avatar_split_clause,[],[f9,f48,f54,f44,f22]) ).

fof(f22,plain,
    ( spl0_1
  <=> some_scotch_dance_not ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f44,plain,
    ( spl0_6
  <=> some_english_sing ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f54,plain,
    ( spl0_8
  <=> some_germans_play ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f48,plain,
    ( spl0_7
  <=> some_english_sing_not ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f9,axiom,
    ( some_english_sing_not
    | ~ some_germans_play
    | ~ some_english_sing
    | ~ some_scotch_dance_not ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c9) ).

fof(f89,plain,
    ( spl0_5
    | spl0_3 ),
    inference(avatar_split_clause,[],[f13,f31,f39]) ).

fof(f39,plain,
    ( spl0_5
  <=> some_monitors_are_awake ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f31,plain,
    ( spl0_3
  <=> some_monitors_are_not_awake ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f13,axiom,
    ( some_monitors_are_not_awake
    | some_monitors_are_awake ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c13) ).

fof(f80,plain,
    ~ spl0_5,
    inference(avatar_split_clause,[],[f20,f39]) ).

fof(f20,axiom,
    ~ some_monitors_are_awake,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_some_monitors_are_awake) ).

fof(f79,plain,
    spl0_6,
    inference(avatar_split_clause,[],[f18,f44]) ).

fof(f18,axiom,
    some_english_sing,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c18) ).

fof(f77,plain,
    ( ~ spl0_6
    | ~ spl0_3
    | spl0_9 ),
    inference(avatar_split_clause,[],[f10,f58,f31,f44]) ).

fof(f58,plain,
    ( spl0_9
  <=> some_irish_fight_not ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f10,axiom,
    ( some_irish_fight_not
    | ~ some_monitors_are_not_awake
    | ~ some_english_sing ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c10) ).

fof(f76,plain,
    ( ~ spl0_7
    | ~ spl0_6
    | spl0_5 ),
    inference(avatar_split_clause,[],[f1,f39,f44,f48]) ).

fof(f1,axiom,
    ( some_monitors_are_awake
    | ~ some_english_sing
    | ~ some_english_sing_not ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c1) ).

fof(f61,plain,
    ( ~ spl0_1
    | spl0_8
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f6,f58,f54,f22]) ).

fof(f6,axiom,
    ( ~ some_irish_fight_not
    | some_germans_play
    | ~ some_scotch_dance_not ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c6) ).

fof(f52,plain,
    spl0_1,
    inference(avatar_split_clause,[],[f19,f22]) ).

fof(f19,axiom,
    some_scotch_dance_not,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c19) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem    : PUZ013-1 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33  % Computer : n022.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Tue Aug 30 10:37:11 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.19/0.50  % (24415)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.50  % (24422)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.50  % (24416)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.50  % (24416)First to succeed.
% 0.19/0.50  % (24416)Refutation found. Thanks to Tanya!
% 0.19/0.50  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.50  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.50  % (24416)------------------------------
% 0.19/0.50  % (24416)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50  % (24416)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50  % (24416)Termination reason: Refutation
% 0.19/0.50  
% 0.19/0.50  % (24416)Memory used [KB]: 5373
% 0.19/0.50  % (24416)Time elapsed: 0.003 s
% 0.19/0.50  % (24416)Instructions burned: 1 (million)
% 0.19/0.50  % (24416)------------------------------
% 0.19/0.50  % (24416)------------------------------
% 0.19/0.50  % (24403)Success in time 0.165 s
%------------------------------------------------------------------------------