TSTP Solution File: SYO039_8 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYO039_8 : TPTP v8.1.2. Released v8.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n018.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 : Sun May  5 12:19:05 EDT 2024

% Result   : Theorem 0.62s 0.81s
% Output   : Refutation 0.62s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   29 (   9 unt;   3 typ;   0 def)
%            Number of atoms       :  106 (  31 equ)
%            Maximal formula atoms :    4 (   4 avg)
%            Number of connectives :   40 (  20   ~;  15   |;   1   &)
%                                         (   4 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of FOOLs       :   64 (  62 fml;   2 var)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    1 (   1   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    7 (   4 usr;   6 prp; 0-2 aty)
%            Number of functors    :    1 (   1 usr;   0 con; 1-1 aty)
%            Number of variables   :    1 (   1   !;   0   ?;   1   :)

% Comments : 
%------------------------------------------------------------------------------
tff(func_def_0,type,
    h: $o > $i ).

tff(func_def_3,type,
    bG0: $o ).

tff(func_def_4,type,
    bG1: $o ).

tff(f42,plain,
    $false,
    inference(avatar_sat_refutation,[],[f25,f28,f40]) ).

tff(f40,plain,
    spl2_1,
    inference(avatar_contradiction_clause,[],[f39]) ).

tff(f39,plain,
    ( $false
    | spl2_1 ),
    inference(trivial_inequality_removal,[],[f38]) ).

tff(f38,plain,
    ( ( h($false) != h($false) )
    | spl2_1 ),
    inference(superposition,[],[f14,f35]) ).

tff(f35,plain,
    ( ( $false = bG1 )
    | spl2_1 ),
    inference(trivial_inequality_removal,[],[f32]) ).

tff(f32,plain,
    ( ( $true != $true )
    | ( $false = bG1 )
    | spl2_1 ),
    inference(superposition,[],[f20,f4]) ).

tff(f4,plain,
    ! [X0: $o] :
      ( ( $true = (X0) )
      | ( $false = (X0) ) ),
    introduced(fool_axiom,[]) ).

tff(f20,plain,
    ( ( $true != bG1 )
    | spl2_1 ),
    inference(avatar_component_clause,[],[f18]) ).

tff(f18,plain,
    ( spl2_1
  <=> ( $true = bG1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).

tff(f14,plain,
    h($false) != h(bG1),
    inference(cnf_transformation,[],[f9]) ).

tff(f9,plain,
    h($false) != h(bG1),
    inference(flattening,[],[f7]) ).

tff(f7,plain,
    ( ~ h($false) = h(bG1) ),
    inference(fool_elimination,[],[f2,f6,f5]) ).

tff(f5,plain,
    ( ~ $false
  <=> ( $true = bG0 ) ),
    introduced(fool_formula_definition,[new_symbols(definition,[bG0])]) ).

tff(f6,plain,
    ( ( h($false) = h(bG0) )
  <=> ( $true = bG1 ) ),
    introduced(fool_formula_definition,[new_symbols(definition,[bG1])]) ).

tff(f2,negated_conjecture,
    ( ~ h(h($false) = h(~ $false)) = h($false) ),
    inference(negated_conjecture,[],[f1]) ).

tff(f1,conjecture,
    h(h($false) = h(~ $false)) = h($false),
    file('/export/starexec/sandbox2/tmp/tmp.jzPQG2L7Qc/Vampire---4.8_18876',1) ).

tff(f28,plain,
    ( ~ spl2_2
    | ~ spl2_1 ),
    inference(avatar_split_clause,[],[f27,f18,f22]) ).

tff(f22,plain,
    ( spl2_2
  <=> ( h($false) = h($true) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).

tff(f27,plain,
    ( ( h($false) != h($true) )
    | ~ spl2_1 ),
    inference(superposition,[],[f14,f19]) ).

tff(f19,plain,
    ( ( $true = bG1 )
    | ~ spl2_1 ),
    inference(avatar_component_clause,[],[f18]) ).

tff(f25,plain,
    ( ~ spl2_1
    | spl2_2 ),
    inference(avatar_split_clause,[],[f15,f22,f18]) ).

tff(f15,plain,
    ( ( h($false) = h($true) )
    | ( $true != bG1 ) ),
    inference(definition_unfolding,[],[f12,f13]) ).

tff(f13,plain,
    $true = bG0,
    inference(cnf_transformation,[],[f8]) ).

tff(f8,plain,
    $true = bG0,
    inference(true_and_false_elimination,[],[f5]) ).

tff(f12,plain,
    ( ( h($false) = h(bG0) )
    | ( $true != bG1 ) ),
    inference(cnf_transformation,[],[f10]) ).

tff(f10,plain,
    ( ( ( h($false) = h(bG0) )
      | ( $true != bG1 ) )
    & ( ( $true = bG1 )
      | ( h($false) != h(bG0) ) ) ),
    inference(nnf_transformation,[],[f6]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem    : SYO039_8 : TPTP v8.1.2. Released v8.0.0.
% 0.08/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.35  % Computer : n018.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Fri May  3 15:53:08 EDT 2024
% 0.15/0.35  % CPUTime    : 
% 0.15/0.35  This is a TX0_THM_EQU_NAR problem
% 0.15/0.36  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.jzPQG2L7Qc/Vampire---4.8_18876
% 0.62/0.80  % (19112)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2995ds/51Mi)
% 0.62/0.81  % (19113)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.62/0.81  % (19111)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2995ds/34Mi)
% 0.62/0.81  % (19114)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.62/0.81  % (19115)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2995ds/34Mi)
% 0.62/0.81  % (19119)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2995ds/56Mi)
% 0.62/0.81  % (19116)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.62/0.81  % (19112)First to succeed.
% 0.62/0.81  % (19112)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-19032"
% 0.62/0.81  % (19115)Refutation not found, incomplete strategy% (19115)------------------------------
% 0.62/0.81  % (19115)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.81  % (19115)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.81  
% 0.62/0.81  % (19115)Memory used [KB]: 964
% 0.62/0.81  % (19111)Refutation not found, incomplete strategy% (19111)------------------------------
% 0.62/0.81  % (19111)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.81  % (19115)Time elapsed: 0.003 s
% 0.62/0.81  % (19115)Instructions burned: 2 (million)
% 0.62/0.81  % (19113)Also succeeded, but the first one will report.
% 0.62/0.81  % (19111)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.81  % (19119)Refutation not found, incomplete strategy% (19119)------------------------------
% 0.62/0.81  % (19119)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.81  % (19119)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.81  
% 0.62/0.81  % (19119)Memory used [KB]: 950
% 0.62/0.81  % (19119)Time elapsed: 0.002 s
% 0.62/0.81  % (19119)Instructions burned: 2 (million)
% 0.62/0.81  
% 0.62/0.81  % (19111)Memory used [KB]: 967
% 0.62/0.81  % (19111)Time elapsed: 0.003 s
% 0.62/0.81  % (19111)Instructions burned: 2 (million)
% 0.62/0.81  % (19114)Refutation not found, incomplete strategy% (19114)------------------------------
% 0.62/0.81  % (19114)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.81  % (19115)------------------------------
% 0.62/0.81  % (19115)------------------------------
% 0.62/0.81  % (19114)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.81  
% 0.62/0.81  % (19114)Memory used [KB]: 962
% 0.62/0.81  % (19114)Time elapsed: 0.003 s
% 0.62/0.81  % (19114)Instructions burned: 2 (million)
% 0.62/0.81  % (19119)------------------------------
% 0.62/0.81  % (19119)------------------------------
% 0.62/0.81  % (19111)------------------------------
% 0.62/0.81  % (19111)------------------------------
% 0.62/0.81  % (19116)Also succeeded, but the first one will report.
% 0.62/0.81  % (19114)------------------------------
% 0.62/0.81  % (19114)------------------------------
% 0.62/0.81  % (19112)Refutation found. Thanks to Tanya!
% 0.62/0.81  % SZS status Theorem for Vampire---4
% 0.62/0.81  % SZS output start Proof for Vampire---4
% See solution above
% 0.62/0.81  % (19112)------------------------------
% 0.62/0.81  % (19112)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.81  % (19112)Termination reason: Refutation
% 0.62/0.81  
% 0.62/0.81  % (19112)Memory used [KB]: 992
% 0.62/0.81  % (19112)Time elapsed: 0.003 s
% 0.62/0.81  % (19112)Instructions burned: 3 (million)
% 0.62/0.81  % (19032)Success in time 0.443 s
% 0.62/0.81  % Vampire---4.8 exiting
%------------------------------------------------------------------------------