TSTP Solution File: SYN931+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYN931+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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n019.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 04:45:01 EDT 2024

% Result   : Theorem 0.58s 0.75s
% Output   : Refutation 0.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   40 (   1 unt;   0 def)
%            Number of atoms       :   97 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  102 (  45   ~;  37   |;   8   &)
%                                         (  11 <=>;   0  =>;   0  <=;   1 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   12 (  11 usr;  10 prp; 0-1 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :   24 (  16   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f58,plain,
    $false,
    inference(avatar_sat_refutation,[],[f24,f28,f33,f38,f39,f43,f49,f51,f53,f57]) ).

fof(f57,plain,
    ( ~ spl4_3
    | ~ spl4_6 ),
    inference(avatar_contradiction_clause,[],[f54]) ).

fof(f54,plain,
    ( $false
    | ~ spl4_3
    | ~ spl4_6 ),
    inference(unit_resulting_resolution,[],[f23,f37]) ).

fof(f37,plain,
    ( p(sK2)
    | ~ spl4_6 ),
    inference(avatar_component_clause,[],[f35]) ).

fof(f35,plain,
    ( spl4_6
  <=> p(sK2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_6])]) ).

fof(f23,plain,
    ( ! [X1] : ~ p(X1)
    | ~ spl4_3 ),
    inference(avatar_component_clause,[],[f22]) ).

fof(f22,plain,
    ( spl4_3
  <=> ! [X1] : ~ p(X1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_3])]) ).

fof(f53,plain,
    ( spl4_4
    | ~ spl4_3 ),
    inference(avatar_split_clause,[],[f52,f22,f26]) ).

fof(f26,plain,
    ( spl4_4
  <=> ! [X0] : ~ sP1(X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_4])]) ).

fof(f52,plain,
    ( ! [X0] : ~ sP1(X0)
    | ~ spl4_3 ),
    inference(unit_resulting_resolution,[],[f23,f6]) ).

fof(f6,plain,
    ! [X0] :
      ( ~ sP1(X0)
      | p(X0) ),
    inference(cnf_transformation,[],[f4]) ).

fof(f4,plain,
    ( ? [X0] :
        ( c
        & p(X0) )
  <~> ( c
      & ? [X1] : p(X1) ) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f3,plain,
    ~ ( ? [X0] :
          ( c
          & p(X0) )
    <=> ( c
        & ? [X1] : p(X1) ) ),
    inference(rectify,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ( ? [X0] :
          ( c
          & p(X0) )
    <=> ( c
        & ? [X0] : p(X0) ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ( ? [X0] :
        ( c
        & p(X0) )
  <=> ( c
      & ? [X0] : p(X0) ) ),
    file('/export/starexec/sandbox/tmp/tmp.BYZAItAVnv/Vampire---4.8_27371',prove_this) ).

fof(f51,plain,
    ( spl4_3
    | ~ spl4_4
    | ~ spl4_7 ),
    inference(avatar_split_clause,[],[f50,f41,f26,f22]) ).

fof(f41,plain,
    ( spl4_7
  <=> ! [X0] :
        ( ~ p(X0)
        | sP1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_7])]) ).

fof(f50,plain,
    ( ! [X0] : ~ p(X0)
    | ~ spl4_4
    | ~ spl4_7 ),
    inference(subsumption_resolution,[],[f42,f27]) ).

fof(f27,plain,
    ( ! [X0] : ~ sP1(X0)
    | ~ spl4_4 ),
    inference(avatar_component_clause,[],[f26]) ).

fof(f42,plain,
    ( ! [X0] :
        ( ~ p(X0)
        | sP1(X0) )
    | ~ spl4_7 ),
    inference(avatar_component_clause,[],[f41]) ).

fof(f49,plain,
    ( ~ spl4_4
    | ~ spl4_5 ),
    inference(avatar_contradiction_clause,[],[f46]) ).

fof(f46,plain,
    ( $false
    | ~ spl4_4
    | ~ spl4_5 ),
    inference(unit_resulting_resolution,[],[f32,f27]) ).

fof(f32,plain,
    ( sP1(sK0)
    | ~ spl4_5 ),
    inference(avatar_component_clause,[],[f30]) ).

fof(f30,plain,
    ( spl4_5
  <=> sP1(sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_5])]) ).

fof(f43,plain,
    ( ~ spl4_2
    | spl4_7 ),
    inference(avatar_split_clause,[],[f5,f41,f18]) ).

fof(f18,plain,
    ( spl4_2
  <=> c ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).

fof(f5,plain,
    ! [X0] :
      ( ~ p(X0)
      | ~ c
      | sP1(X0) ),
    inference(cnf_transformation,[],[f4]) ).

fof(f39,plain,
    ( spl4_4
    | spl4_2 ),
    inference(avatar_split_clause,[],[f7,f18,f26]) ).

fof(f7,plain,
    ! [X0] :
      ( c
      | ~ sP1(X0) ),
    inference(cnf_transformation,[],[f4]) ).

fof(f38,plain,
    ( spl4_5
    | spl4_6 ),
    inference(avatar_split_clause,[],[f9,f35,f30]) ).

fof(f9,plain,
    ( p(sK2)
    | sP1(sK0) ),
    inference(cnf_transformation,[],[f4]) ).

fof(f33,plain,
    ( spl4_5
    | spl4_2 ),
    inference(avatar_split_clause,[],[f10,f18,f30]) ).

fof(f10,plain,
    ( c
    | sP1(sK0) ),
    inference(cnf_transformation,[],[f4]) ).

fof(f28,plain,
    ( spl4_1
    | spl4_4 ),
    inference(avatar_split_clause,[],[f11,f26,f14]) ).

fof(f14,plain,
    ( spl4_1
  <=> sP3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).

fof(f11,plain,
    ! [X0] :
      ( ~ sP1(X0)
      | sP3 ),
    inference(cnf_transformation,[],[f11_D]) ).

fof(f11_D,plain,
    ( ! [X0] : ~ sP1(X0)
  <=> ~ sP3 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP3])]) ).

fof(f24,plain,
    ( ~ spl4_1
    | ~ spl4_2
    | spl4_3 ),
    inference(avatar_split_clause,[],[f12,f22,f18,f14]) ).

fof(f12,plain,
    ! [X1] :
      ( ~ p(X1)
      | ~ c
      | ~ sP3 ),
    inference(general_splitting,[],[f8,f11_D]) ).

fof(f8,plain,
    ! [X0,X1] :
      ( ~ p(X1)
      | ~ c
      | ~ sP1(X0) ),
    inference(cnf_transformation,[],[f4]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : SYN931+1 : TPTP v8.1.2. Released v3.1.0.
% 0.03/0.15  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.36  % Computer : n019.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 17:23:14 EDT 2024
% 0.14/0.36  % 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.BYZAItAVnv/Vampire---4.8_27371
% 0.58/0.75  % (27620)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)
% 0.58/0.75  % (27620)First to succeed.
% 0.58/0.75  % (27614)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)
% 0.58/0.75  % (27616)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.58/0.75  % (27615)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)
% 0.58/0.75  % (27617)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)
% 0.58/0.75  % (27618)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)
% 0.58/0.75  % (27619)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)
% 0.58/0.75  % (27620)Refutation found. Thanks to Tanya!
% 0.58/0.75  % SZS status Theorem for Vampire---4
% 0.58/0.75  % SZS output start Proof for Vampire---4
% See solution above
% 0.58/0.75  % (27620)------------------------------
% 0.58/0.75  % (27620)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.75  % (27620)Termination reason: Refutation
% 0.58/0.75  
% 0.58/0.75  % (27620)Memory used [KB]: 980
% 0.58/0.75  % (27620)Time elapsed: 0.002 s
% 0.58/0.75  % (27620)Instructions burned: 3 (million)
% 0.58/0.75  % (27620)------------------------------
% 0.58/0.75  % (27620)------------------------------
% 0.58/0.75  % (27610)Success in time 0.38 s
% 0.58/0.75  % Vampire---4.8 exiting
%------------------------------------------------------------------------------