TSTP Solution File: SYN941+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYN941+1 : TPTP v8.1.2. Released v3.1.0.
% 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 : n006.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 12:07:55 EDT 2024

% Result   : Theorem 0.57s 0.74s
% Output   : Refutation 0.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   42 (   3 unt;   0 def)
%            Number of atoms       :  107 (   0 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  115 (  50   ~;  40   |;   9   &)
%                                         (  10 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   14 (  13 usr;  11 prp; 0-1 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-1 aty)
%            Number of variables   :   31 (  25   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f62,plain,
    $false,
    inference(avatar_sat_refutation,[],[f19,f23,f31,f35,f44,f51,f55,f59,f61]) ).

fof(f61,plain,
    ( ~ spl4_2
    | spl4_8 ),
    inference(avatar_contradiction_clause,[],[f60]) ).

fof(f60,plain,
    ( $false
    | ~ spl4_2
    | spl4_8 ),
    inference(subsumption_resolution,[],[f43,f18]) ).

fof(f18,plain,
    ( ! [X3] : r(X3)
    | ~ spl4_2 ),
    inference(avatar_component_clause,[],[f17]) ).

fof(f17,plain,
    ( spl4_2
  <=> ! [X3] : r(X3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).

fof(f43,plain,
    ( ~ r(sK0)
    | spl4_8 ),
    inference(avatar_component_clause,[],[f41]) ).

fof(f41,plain,
    ( spl4_8
  <=> r(sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_8])]) ).

fof(f59,plain,
    ( ~ spl4_2
    | spl4_7 ),
    inference(avatar_contradiction_clause,[],[f56]) ).

fof(f56,plain,
    ( $false
    | ~ spl4_2
    | spl4_7 ),
    inference(unit_resulting_resolution,[],[f18,f39]) ).

fof(f39,plain,
    ( ~ r(sK1)
    | spl4_7 ),
    inference(avatar_component_clause,[],[f37]) ).

fof(f37,plain,
    ( spl4_7
  <=> r(sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_7])]) ).

fof(f55,plain,
    ~ spl4_6,
    inference(avatar_contradiction_clause,[],[f52]) ).

fof(f52,plain,
    ( $false
    | ~ spl4_6 ),
    inference(unit_resulting_resolution,[],[f7,f34]) ).

fof(f34,plain,
    ( ! [X2] : ~ q(X2)
    | ~ spl4_6 ),
    inference(avatar_component_clause,[],[f33]) ).

fof(f33,plain,
    ( spl4_6
  <=> ! [X2] : ~ q(X2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_6])]) ).

fof(f7,plain,
    q(f(sK0)),
    inference(cnf_transformation,[],[f3]) ).

fof(f3,plain,
    ? [X0,X1] :
      ( ! [X2,X3] :
          ( ~ q(X2)
          | ( ( ( ( ~ r(X1)
                  | ~ r(X0) )
                & r(X3) )
              | ~ p(X2) )
            & p(f(X3)) ) )
      & q(f(X0)) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ! [X0,X1] :
        ( q(f(X0))
       => ? [X2,X3] :
            ( q(X2)
            & ( p(f(X3))
             => ( ( r(X3)
                 => ( r(X1)
                    & r(X0) ) )
                & p(X2) ) ) ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ! [X0,X1] :
      ( q(f(X0))
     => ? [X2,X3] :
          ( q(X2)
          & ( p(f(X3))
           => ( ( r(X3)
               => ( r(X1)
                  & r(X0) ) )
              & p(X2) ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.3EaSWIrQPg/Vampire---4.8_21241',prove_this) ).

fof(f51,plain,
    ( ~ spl4_3
    | ~ spl4_5 ),
    inference(avatar_contradiction_clause,[],[f50]) ).

fof(f50,plain,
    ( $false
    | ~ spl4_3
    | ~ spl4_5 ),
    inference(subsumption_resolution,[],[f45,f30]) ).

fof(f30,plain,
    ( ! [X3] : p(f(X3))
    | ~ spl4_5 ),
    inference(avatar_component_clause,[],[f29]) ).

fof(f29,plain,
    ( spl4_5
  <=> ! [X3] : p(f(X3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_5])]) ).

fof(f45,plain,
    ( ~ p(f(sK0))
    | ~ spl4_3 ),
    inference(unit_resulting_resolution,[],[f7,f22]) ).

fof(f22,plain,
    ( ! [X2] :
        ( ~ p(X2)
        | ~ q(X2) )
    | ~ spl4_3 ),
    inference(avatar_component_clause,[],[f21]) ).

fof(f21,plain,
    ( spl4_3
  <=> ! [X2] :
        ( ~ p(X2)
        | ~ q(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_3])]) ).

fof(f44,plain,
    ( ~ spl4_7
    | ~ spl4_8
    | spl4_3 ),
    inference(avatar_split_clause,[],[f4,f21,f41,f37]) ).

fof(f4,plain,
    ! [X2] :
      ( ~ p(X2)
      | ~ r(sK0)
      | ~ r(sK1)
      | ~ q(X2) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f35,plain,
    ( spl4_4
    | spl4_6 ),
    inference(avatar_split_clause,[],[f8,f33,f25]) ).

fof(f25,plain,
    ( spl4_4
  <=> sP2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_4])]) ).

fof(f8,plain,
    ! [X2] :
      ( ~ q(X2)
      | sP2 ),
    inference(cnf_transformation,[],[f8_D]) ).

fof(f8_D,plain,
    ( ! [X2] : ~ q(X2)
  <=> ~ sP2 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP2])]) ).

fof(f31,plain,
    ( ~ spl4_4
    | spl4_5 ),
    inference(avatar_split_clause,[],[f9,f29,f25]) ).

fof(f9,plain,
    ! [X3] :
      ( p(f(X3))
      | ~ sP2 ),
    inference(general_splitting,[],[f6,f8_D]) ).

fof(f6,plain,
    ! [X2,X3] :
      ( p(f(X3))
      | ~ q(X2) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f23,plain,
    ( spl4_1
    | spl4_3 ),
    inference(avatar_split_clause,[],[f10,f21,f13]) ).

fof(f13,plain,
    ( spl4_1
  <=> sP3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).

fof(f10,plain,
    ! [X2] :
      ( ~ p(X2)
      | ~ q(X2)
      | sP3 ),
    inference(cnf_transformation,[],[f10_D]) ).

fof(f10_D,plain,
    ( ! [X2] :
        ( ~ p(X2)
        | ~ q(X2) )
  <=> ~ sP3 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP3])]) ).

fof(f19,plain,
    ( ~ spl4_1
    | spl4_2 ),
    inference(avatar_split_clause,[],[f11,f17,f13]) ).

fof(f11,plain,
    ! [X3] :
      ( r(X3)
      | ~ sP3 ),
    inference(general_splitting,[],[f5,f10_D]) ).

fof(f5,plain,
    ! [X2,X3] :
      ( ~ p(X2)
      | r(X3)
      | ~ q(X2) ),
    inference(cnf_transformation,[],[f3]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SYN941+1 : TPTP v8.1.2. Released v3.1.0.
% 0.14/0.14  % 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 : n006.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 17:49:08 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  This is a FOF_THM_RFO_NEQ problem
% 0.14/0.35  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.3EaSWIrQPg/Vampire---4.8_21241
% 0.57/0.73  % (21357)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)
% 0.57/0.73  % (21358)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)
% 0.57/0.73  % (21351)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)
% 0.57/0.73  % (21353)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.57/0.73  % (21352)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)
% 0.57/0.73  % (21354)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)
% 0.57/0.73  % (21355)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)
% 0.57/0.73  % (21356)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)
% 0.57/0.73  % (21357)First to succeed.
% 0.57/0.73  % (21358)Also succeeded, but the first one will report.
% 0.57/0.74  % (21357)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-21349"
% 0.57/0.74  % (21357)Refutation found. Thanks to Tanya!
% 0.57/0.74  % SZS status Theorem for Vampire---4
% 0.57/0.74  % SZS output start Proof for Vampire---4
% See solution above
% 0.57/0.74  % (21357)------------------------------
% 0.57/0.74  % (21357)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.74  % (21357)Termination reason: Refutation
% 0.57/0.74  
% 0.57/0.74  % (21357)Memory used [KB]: 983
% 0.57/0.74  % (21357)Time elapsed: 0.003 s
% 0.57/0.74  % (21357)Instructions burned: 3 (million)
% 0.57/0.74  % (21349)Success in time 0.377 s
% 0.57/0.74  % Vampire---4.8 exiting
%------------------------------------------------------------------------------