TSTP Solution File: SYN070+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYN070+1 : TPTP v8.1.2. Released v2.0.0.
% 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 : n027.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 11:55:54 EDT 2024

% Result   : Theorem 0.72s 0.87s
% Output   : Refutation 0.72s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   49 (   4 unt;   0 def)
%            Number of atoms       :  184 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :  233 (  98   ~;  88   |;  32   &)
%                                         (   4 <=>;  11  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    9 (   8 usr;   5 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :   59 (  49   !;  10   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f72,plain,
    $false,
    inference(avatar_sat_refutation,[],[f34,f48,f52,f61,f71]) ).

fof(f71,plain,
    ~ spl2_1,
    inference(avatar_contradiction_clause,[],[f70]) ).

fof(f70,plain,
    ( $false
    | ~ spl2_1 ),
    inference(subsumption_resolution,[],[f69,f20]) ).

fof(f20,plain,
    ~ big_g(sK0),
    inference(cnf_transformation,[],[f15]) ).

fof(f15,plain,
    ( ~ big_g(sK0)
    & big_f(sK0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f7,f14]) ).

fof(f14,plain,
    ( ? [X0] :
        ( ~ big_g(X0)
        & big_f(X0) )
   => ( ~ big_g(sK0)
      & big_f(sK0) ) ),
    introduced(choice_axiom,[]) ).

fof(f7,plain,
    ? [X0] :
      ( ~ big_g(X0)
      & big_f(X0) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f5,negated_conjecture,
    ~ ! [X0] :
        ( big_f(X0)
       => big_g(X0) ),
    inference(negated_conjecture,[],[f4]) ).

fof(f4,conjecture,
    ! [X0] :
      ( big_f(X0)
     => big_g(X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.mbw00OuMIm/Vampire---4.8_20948',pel46) ).

fof(f69,plain,
    ( big_g(sK0)
    | ~ spl2_1 ),
    inference(resolution,[],[f30,f19]) ).

fof(f19,plain,
    big_f(sK0),
    inference(cnf_transformation,[],[f15]) ).

fof(f30,plain,
    ( ! [X2] :
        ( ~ big_f(X2)
        | big_g(X2) )
    | ~ spl2_1 ),
    inference(avatar_component_clause,[],[f29]) ).

fof(f29,plain,
    ( spl2_1
  <=> ! [X2] :
        ( big_g(X2)
        | ~ big_f(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).

fof(f61,plain,
    ( ~ spl2_2
    | ~ spl2_5
    | ~ spl2_6 ),
    inference(avatar_contradiction_clause,[],[f60]) ).

fof(f60,plain,
    ( $false
    | ~ spl2_2
    | ~ spl2_5
    | ~ spl2_6 ),
    inference(subsumption_resolution,[],[f59,f51]) ).

fof(f51,plain,
    ( ! [X1] : big_f(X1)
    | ~ spl2_6 ),
    inference(avatar_component_clause,[],[f50]) ).

fof(f50,plain,
    ( spl2_6
  <=> ! [X1] : big_f(X1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_6])]) ).

fof(f59,plain,
    ( ~ big_f(sK1)
    | ~ spl2_2
    | ~ spl2_5
    | ~ spl2_6 ),
    inference(subsumption_resolution,[],[f58,f47]) ).

fof(f47,plain,
    ( ! [X1] : ~ big_g(X1)
    | ~ spl2_5 ),
    inference(avatar_component_clause,[],[f46]) ).

fof(f46,plain,
    ( spl2_5
  <=> ! [X1] : ~ big_g(X1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_5])]) ).

fof(f58,plain,
    ( big_g(sK1)
    | ~ big_f(sK1)
    | ~ spl2_2
    | ~ spl2_5
    | ~ spl2_6 ),
    inference(resolution,[],[f57,f26]) ).

fof(f26,plain,
    ! [X0,X1] :
      ( big_h(X1,X0)
      | big_g(X0)
      | ~ big_f(X0) ),
    inference(cnf_transformation,[],[f13]) ).

fof(f13,plain,
    ! [X0,X1] :
      ( big_g(X0)
      | ( ~ big_g(X1)
        & big_h(X1,X0)
        & big_f(X1) )
      | ~ big_f(X0) ),
    inference(flattening,[],[f12]) ).

fof(f12,plain,
    ! [X0,X1] :
      ( big_g(X0)
      | ( ~ big_g(X1)
        & big_h(X1,X0)
        & big_f(X1) )
      | ~ big_f(X0) ),
    inference(ennf_transformation,[],[f1]) ).

fof(f1,axiom,
    ! [X0,X1] :
      ( ( ( ( big_h(X1,X0)
            & big_f(X1) )
         => big_g(X1) )
        & big_f(X0) )
     => big_g(X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.mbw00OuMIm/Vampire---4.8_20948',pel46_1) ).

fof(f57,plain,
    ( ! [X0] : ~ big_h(X0,sK1)
    | ~ spl2_2
    | ~ spl2_5
    | ~ spl2_6 ),
    inference(subsumption_resolution,[],[f56,f51]) ).

fof(f56,plain,
    ( ! [X0] :
        ( ~ big_h(X0,sK1)
        | ~ big_f(X0) )
    | ~ spl2_2
    | ~ spl2_5
    | ~ spl2_6 ),
    inference(subsumption_resolution,[],[f55,f51]) ).

fof(f55,plain,
    ( ! [X0] :
        ( ~ big_h(X0,sK1)
        | ~ big_f(sK1)
        | ~ big_f(X0) )
    | ~ spl2_2
    | ~ spl2_5
    | ~ spl2_6 ),
    inference(resolution,[],[f21,f54]) ).

fof(f54,plain,
    ( ! [X1] : big_j(sK1,X1)
    | ~ spl2_2
    | ~ spl2_5
    | ~ spl2_6 ),
    inference(subsumption_resolution,[],[f53,f47]) ).

fof(f53,plain,
    ( ! [X1] :
        ( big_j(sK1,X1)
        | big_g(X1) )
    | ~ spl2_2
    | ~ spl2_6 ),
    inference(subsumption_resolution,[],[f33,f51]) ).

fof(f33,plain,
    ( ! [X1] :
        ( big_j(sK1,X1)
        | ~ big_f(X1)
        | big_g(X1) )
    | ~ spl2_2 ),
    inference(avatar_component_clause,[],[f32]) ).

fof(f32,plain,
    ( spl2_2
  <=> ! [X1] :
        ( big_j(sK1,X1)
        | ~ big_f(X1)
        | big_g(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).

fof(f21,plain,
    ! [X0,X1] :
      ( ~ big_j(X1,X0)
      | ~ big_h(X0,X1)
      | ~ big_f(X1)
      | ~ big_f(X0) ),
    inference(cnf_transformation,[],[f9]) ).

fof(f9,plain,
    ! [X0,X1] :
      ( ~ big_j(X1,X0)
      | ~ big_h(X0,X1)
      | ~ big_f(X1)
      | ~ big_f(X0) ),
    inference(flattening,[],[f8]) ).

fof(f8,plain,
    ! [X0,X1] :
      ( ~ big_j(X1,X0)
      | ~ big_h(X0,X1)
      | ~ big_f(X1)
      | ~ big_f(X0) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f3,axiom,
    ! [X0,X1] :
      ( ( big_h(X0,X1)
        & big_f(X1)
        & big_f(X0) )
     => ~ big_j(X1,X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.mbw00OuMIm/Vampire---4.8_20948',pel46_3) ).

fof(f52,plain,
    ( spl2_6
    | spl2_1 ),
    inference(avatar_split_clause,[],[f25,f29,f50]) ).

fof(f25,plain,
    ! [X0,X1] :
      ( big_g(X0)
      | big_f(X1)
      | ~ big_f(X0) ),
    inference(cnf_transformation,[],[f13]) ).

fof(f48,plain,
    ( spl2_5
    | spl2_1 ),
    inference(avatar_split_clause,[],[f27,f29,f46]) ).

fof(f27,plain,
    ! [X0,X1] :
      ( big_g(X0)
      | ~ big_g(X1)
      | ~ big_f(X0) ),
    inference(cnf_transformation,[],[f13]) ).

fof(f34,plain,
    ( spl2_1
    | spl2_2 ),
    inference(avatar_split_clause,[],[f24,f32,f29]) ).

fof(f24,plain,
    ! [X2,X1] :
      ( big_j(sK1,X1)
      | big_g(X1)
      | ~ big_f(X1)
      | big_g(X2)
      | ~ big_f(X2) ),
    inference(cnf_transformation,[],[f18]) ).

fof(f18,plain,
    ( ( ! [X1] :
          ( big_j(sK1,X1)
          | big_g(X1)
          | ~ big_f(X1) )
      & ~ big_g(sK1)
      & big_f(sK1) )
    | ! [X2] :
        ( big_g(X2)
        | ~ big_f(X2) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f16,f17]) ).

fof(f17,plain,
    ( ? [X0] :
        ( ! [X1] :
            ( big_j(X0,X1)
            | big_g(X1)
            | ~ big_f(X1) )
        & ~ big_g(X0)
        & big_f(X0) )
   => ( ! [X1] :
          ( big_j(sK1,X1)
          | big_g(X1)
          | ~ big_f(X1) )
      & ~ big_g(sK1)
      & big_f(sK1) ) ),
    introduced(choice_axiom,[]) ).

fof(f16,plain,
    ( ? [X0] :
        ( ! [X1] :
            ( big_j(X0,X1)
            | big_g(X1)
            | ~ big_f(X1) )
        & ~ big_g(X0)
        & big_f(X0) )
    | ! [X2] :
        ( big_g(X2)
        | ~ big_f(X2) ) ),
    inference(rectify,[],[f11]) ).

fof(f11,plain,
    ( ? [X1] :
        ( ! [X2] :
            ( big_j(X1,X2)
            | big_g(X2)
            | ~ big_f(X2) )
        & ~ big_g(X1)
        & big_f(X1) )
    | ! [X0] :
        ( big_g(X0)
        | ~ big_f(X0) ) ),
    inference(flattening,[],[f10]) ).

fof(f10,plain,
    ( ? [X1] :
        ( ! [X2] :
            ( big_j(X1,X2)
            | big_g(X2)
            | ~ big_f(X2) )
        & ~ big_g(X1)
        & big_f(X1) )
    | ! [X0] :
        ( big_g(X0)
        | ~ big_f(X0) ) ),
    inference(ennf_transformation,[],[f6]) ).

fof(f6,plain,
    ( ? [X0] :
        ( ~ big_g(X0)
        & big_f(X0) )
   => ? [X1] :
        ( ! [X2] :
            ( ( ~ big_g(X2)
              & big_f(X2) )
           => big_j(X1,X2) )
        & ~ big_g(X1)
        & big_f(X1) ) ),
    inference(rectify,[],[f2]) ).

fof(f2,axiom,
    ( ? [X0] :
        ( ~ big_g(X0)
        & big_f(X0) )
   => ? [X2] :
        ( ! [X1] :
            ( ( ~ big_g(X1)
              & big_f(X1) )
           => big_j(X2,X1) )
        & ~ big_g(X2)
        & big_f(X2) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.mbw00OuMIm/Vampire---4.8_20948',pel46_2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SYN070+1 : TPTP v8.1.2. Released v2.0.0.
% 0.03/0.14  % 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
% 0.14/0.35  % Computer : n027.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Fri May  3 17:22:38 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.36  This is a FOF_THM_EPR_NEQ problem
% 0.14/0.36  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.mbw00OuMIm/Vampire---4.8_20948
% 0.72/0.87  % (21139)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2994ds/33Mi)
% 0.72/0.87  % (21138)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2994ds/78Mi)
% 0.72/0.87  % (21136)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 (2994ds/34Mi)
% 0.72/0.87  % (21140)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 (2994ds/34Mi)
% 0.72/0.87  % (21142)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2994ds/83Mi)
% 0.72/0.87  % (21143)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 (2994ds/56Mi)
% 0.72/0.87  % (21141)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2994ds/45Mi)
% 0.72/0.87  % (21139)Refutation not found, incomplete strategy% (21139)------------------------------
% 0.72/0.87  % (21139)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.72/0.87  % (21139)Termination reason: Refutation not found, incomplete strategy
% 0.72/0.87  
% 0.72/0.87  % (21139)Memory used [KB]: 942
% 0.72/0.87  % (21139)Time elapsed: 0.002 s
% 0.72/0.87  % (21139)Instructions burned: 2 (million)
% 0.72/0.87  % (21143)Refutation not found, incomplete strategy% (21143)------------------------------
% 0.72/0.87  % (21143)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.72/0.87  % (21143)Termination reason: Refutation not found, incomplete strategy
% 0.72/0.87  
% 0.72/0.87  % (21143)Memory used [KB]: 942
% 0.72/0.87  % (21143)Time elapsed: 0.002 s
% 0.72/0.87  % (21141)Refutation not found, incomplete strategy% (21141)------------------------------
% 0.72/0.87  % (21141)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.72/0.87  % (21143)Instructions burned: 2 (million)
% 0.72/0.87  % (21141)Termination reason: Refutation not found, incomplete strategy
% 0.72/0.87  
% 0.72/0.87  % (21141)Memory used [KB]: 942
% 0.72/0.87  % (21141)Time elapsed: 0.002 s
% 0.72/0.87  % (21141)Instructions burned: 2 (million)
% 0.72/0.87  % (21139)------------------------------
% 0.72/0.87  % (21139)------------------------------
% 0.72/0.87  % (21143)------------------------------
% 0.72/0.87  % (21143)------------------------------
% 0.72/0.87  % (21140)Refutation not found, incomplete strategy% (21140)------------------------------
% 0.72/0.87  % (21140)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.72/0.87  % (21140)Termination reason: Refutation not found, incomplete strategy
% 0.72/0.87  
% 0.72/0.87  % (21141)------------------------------
% 0.72/0.87  % (21141)------------------------------
% 0.72/0.87  % (21140)Memory used [KB]: 952
% 0.72/0.87  % (21140)Time elapsed: 0.003 s
% 0.72/0.87  % (21140)Instructions burned: 2 (million)
% 0.72/0.87  % (21137)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 (2994ds/51Mi)
% 0.72/0.87  % (21140)------------------------------
% 0.72/0.87  % (21140)------------------------------
% 0.72/0.87  % (21136)Also succeeded, but the first one will report.
% 0.72/0.87  % (21138)First to succeed.
% 0.72/0.87  % (21142)Also succeeded, but the first one will report.
% 0.72/0.87  % (21138)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-21135"
% 0.72/0.87  % (21137)Also succeeded, but the first one will report.
% 0.72/0.87  % (21138)Refutation found. Thanks to Tanya!
% 0.72/0.87  % SZS status Theorem for Vampire---4
% 0.72/0.87  % SZS output start Proof for Vampire---4
% See solution above
% 0.72/0.87  % (21138)------------------------------
% 0.72/0.87  % (21138)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.72/0.87  % (21138)Termination reason: Refutation
% 0.72/0.87  
% 0.72/0.87  % (21138)Memory used [KB]: 984
% 0.72/0.87  % (21138)Time elapsed: 0.004 s
% 0.72/0.87  % (21138)Instructions burned: 4 (million)
% 0.72/0.87  % (21135)Success in time 0.511 s
% 0.72/0.87  % Vampire---4.8 exiting
%------------------------------------------------------------------------------