TSTP Solution File: SYN722+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYN722+1 : TPTP v8.1.2. Released v2.5.0.
% 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 : Wed May  1 04:36:02 EDT 2024

% Result   : Theorem 0.61s 0.77s
% Output   : Refutation 0.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   33 (   4 unt;   0 def)
%            Number of atoms       :  125 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :  167 (  75   ~;  70   |;  16   &)
%                                         (   5 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    9 (   8 usr;   6 prp; 0-1 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-1 aty)
%            Number of variables   :   25 (  19   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f42,plain,
    $false,
    inference(avatar_sat_refutation,[],[f19,f31,f33,f35,f39,f41]) ).

fof(f41,plain,
    ( spl1_2
    | ~ spl1_3 ),
    inference(avatar_contradiction_clause,[],[f40]) ).

fof(f40,plain,
    ( $false
    | spl1_2
    | ~ spl1_3 ),
    inference(subsumption_resolution,[],[f18,f37]) ).

fof(f37,plain,
    ( ! [X0] : p(X0)
    | ~ spl1_3 ),
    inference(subsumption_resolution,[],[f36,f8]) ).

fof(f8,plain,
    ! [X2] : q(X2),
    inference(cnf_transformation,[],[f7]) ).

fof(f7,plain,
    ( ( ~ p(b)
      | ~ p(a) )
    & ! [X0] :
        ( ~ q(d)
        | ~ q(c)
        | ~ q(sK0(X0))
        | ~ q(X0)
        | p(X0) )
    & ! [X2] : q(X2) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f5,f6]) ).

fof(f6,plain,
    ! [X0] :
      ( ? [X1] :
          ( ~ q(d)
          | ~ q(c)
          | ~ q(X1)
          | ~ q(X0)
          | p(X0) )
     => ( ~ q(d)
        | ~ q(c)
        | ~ q(sK0(X0))
        | ~ q(X0)
        | p(X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f5,plain,
    ( ( ~ p(b)
      | ~ p(a) )
    & ! [X0] :
      ? [X1] :
        ( ~ q(d)
        | ~ q(c)
        | ~ q(X1)
        | ~ q(X0)
        | p(X0) )
    & ! [X2] : q(X2) ),
    inference(pure_predicate_removal,[],[f4]) ).

fof(f4,plain,
    ( ( ~ p(b)
      | ~ p(a) )
    & ! [X0] :
      ? [X1] :
        ( ~ q(d)
        | ~ q(c)
        | ~ q(X1)
        | ~ q(X0)
        | p(X0) )
    & ! [X2] :
        ( q(X2)
        & ( r(X2)
          | p(X2) ) ) ),
    inference(flattening,[],[f3]) ).

fof(f3,plain,
    ~ ~ ( ( ~ p(b)
          | ~ p(a) )
        & ! [X0] :
          ? [X1] :
            ( ~ q(d)
            | ~ q(c)
            | ~ q(X1)
            | ~ q(X0)
            | p(X0) )
        & ! [X2] :
            ( q(X2)
            & ( r(X2)
              | p(X2) ) ) ),
    inference(rectify,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( ~ p(b)
          | ~ p(a) )
        & ! [X1] :
          ? [X2] :
            ( ~ q(d)
            | ~ q(c)
            | ~ q(X2)
            | ~ q(X1)
            | p(X1) )
        & ! [X0] :
            ( q(X0)
            & ( r(X0)
              | p(X0) ) ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ~ ( ( ~ p(b)
        | ~ p(a) )
      & ! [X1] :
        ? [X2] :
          ( ~ q(d)
          | ~ q(c)
          | ~ q(X2)
          | ~ q(X1)
          | p(X1) )
      & ! [X0] :
          ( q(X0)
          & ( r(X0)
            | p(X0) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.gMLP2VrAA8/Vampire---4.8_31936',thm119) ).

fof(f36,plain,
    ( ! [X0] :
        ( p(X0)
        | ~ q(X0) )
    | ~ spl1_3 ),
    inference(subsumption_resolution,[],[f22,f8]) ).

fof(f22,plain,
    ( ! [X0] :
        ( ~ q(sK0(X0))
        | p(X0)
        | ~ q(X0) )
    | ~ spl1_3 ),
    inference(avatar_component_clause,[],[f21]) ).

fof(f21,plain,
    ( spl1_3
  <=> ! [X0] :
        ( ~ q(sK0(X0))
        | p(X0)
        | ~ q(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_3])]) ).

fof(f18,plain,
    ( ~ p(b)
    | spl1_2 ),
    inference(avatar_component_clause,[],[f16]) ).

fof(f16,plain,
    ( spl1_2
  <=> p(b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_2])]) ).

fof(f39,plain,
    ( spl1_1
    | ~ spl1_3 ),
    inference(avatar_contradiction_clause,[],[f38]) ).

fof(f38,plain,
    ( $false
    | spl1_1
    | ~ spl1_3 ),
    inference(resolution,[],[f37,f14]) ).

fof(f14,plain,
    ( ~ p(a)
    | spl1_1 ),
    inference(avatar_component_clause,[],[f12]) ).

fof(f12,plain,
    ( spl1_1
  <=> p(a) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_1])]) ).

fof(f35,plain,
    spl1_4,
    inference(avatar_contradiction_clause,[],[f34]) ).

fof(f34,plain,
    ( $false
    | spl1_4 ),
    inference(subsumption_resolution,[],[f26,f8]) ).

fof(f26,plain,
    ( ~ q(c)
    | spl1_4 ),
    inference(avatar_component_clause,[],[f24]) ).

fof(f24,plain,
    ( spl1_4
  <=> q(c) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_4])]) ).

fof(f33,plain,
    spl1_5,
    inference(avatar_contradiction_clause,[],[f32]) ).

fof(f32,plain,
    ( $false
    | spl1_5 ),
    inference(subsumption_resolution,[],[f30,f8]) ).

fof(f30,plain,
    ( ~ q(d)
    | spl1_5 ),
    inference(avatar_component_clause,[],[f28]) ).

fof(f28,plain,
    ( spl1_5
  <=> q(d) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_5])]) ).

fof(f31,plain,
    ( spl1_3
    | ~ spl1_4
    | ~ spl1_5 ),
    inference(avatar_split_clause,[],[f9,f28,f24,f21]) ).

fof(f9,plain,
    ! [X0] :
      ( ~ q(d)
      | ~ q(c)
      | ~ q(sK0(X0))
      | ~ q(X0)
      | p(X0) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f19,plain,
    ( ~ spl1_1
    | ~ spl1_2 ),
    inference(avatar_split_clause,[],[f10,f16,f12]) ).

fof(f10,plain,
    ( ~ p(b)
    | ~ p(a) ),
    inference(cnf_transformation,[],[f7]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : SYN722+1 : TPTP v8.1.2. Released v2.5.0.
% 0.12/0.15  % 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
% 0.14/0.36  % Computer : n018.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Tue Apr 30 17:35:44 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  This is a FOF_THM_EPR_NEQ problem
% 0.14/0.37  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.gMLP2VrAA8/Vampire---4.8_31936
% 0.61/0.77  % (32124)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 (2996ds/34Mi)
% 0.61/0.77  % (32127)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 (2996ds/56Mi)
% 0.61/0.77  % (32127)First to succeed.
% 0.61/0.77  % (32122)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.61/0.77  % (32120)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 (2996ds/34Mi)
% 0.61/0.77  % (32121)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 (2996ds/51Mi)
% 0.61/0.77  % (32125)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.61/0.77  % (32123)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.61/0.77  % (32124)Also succeeded, but the first one will report.
% 0.61/0.77  % (32126)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 (2996ds/83Mi)
% 0.61/0.77  % (32120)Also succeeded, but the first one will report.
% 0.61/0.77  % (32127)Refutation found. Thanks to Tanya!
% 0.61/0.77  % SZS status Theorem for Vampire---4
% 0.61/0.77  % SZS output start Proof for Vampire---4
% See solution above
% 0.61/0.77  % (32127)------------------------------
% 0.61/0.77  % (32127)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.77  % (32127)Termination reason: Refutation
% 0.61/0.77  
% 0.61/0.77  % (32127)Memory used [KB]: 971
% 0.61/0.77  % (32127)Time elapsed: 0.003 s
% 0.61/0.77  % (32127)Instructions burned: 3 (million)
% 0.61/0.77  % (32127)------------------------------
% 0.61/0.77  % (32127)------------------------------
% 0.61/0.77  % (32105)Success in time 0.396 s
% 0.61/0.77  % Vampire---4.8 exiting
%------------------------------------------------------------------------------