TSTP Solution File: SYN358+1 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYN358+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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n023.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 11:57:02 EDT 2024

% Result   : Theorem 0.57s 0.79s
% Output   : Refutation 0.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   30 (   3 unt;   0 def)
%            Number of atoms       :   97 (   0 equ)
%            Maximal formula atoms :    8 (   3 avg)
%            Number of connectives :  106 (  39   ~;  35   |;  22   &)
%                                         (   7 <=>;   2  =>;   0  <=;   1 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   6 prp; 0-1 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :   30 (  14   !;  16   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f42,plain,
    $false,
    inference(avatar_sat_refutation,[],[f25,f34,f37,f39,f41]) ).

fof(f41,plain,
    ( ~ spl2_1
    | ~ spl2_3 ),
    inference(avatar_contradiction_clause,[],[f40]) ).

fof(f40,plain,
    ( $false
    | ~ spl2_1
    | ~ spl2_3 ),
    inference(subsumption_resolution,[],[f29,f20]) ).

fof(f20,plain,
    ( ! [X1] : ~ big_q(X1)
    | ~ spl2_1 ),
    inference(avatar_component_clause,[],[f19]) ).

fof(f19,plain,
    ( spl2_1
  <=> ! [X1] : ~ big_q(X1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).

fof(f29,plain,
    ( big_q(sK1)
    | ~ spl2_3 ),
    inference(avatar_component_clause,[],[f27]) ).

fof(f27,plain,
    ( spl2_3
  <=> big_q(sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_3])]) ).

fof(f39,plain,
    ( ~ spl2_1
    | ~ spl2_4 ),
    inference(avatar_contradiction_clause,[],[f38]) ).

fof(f38,plain,
    ( $false
    | ~ spl2_1
    | ~ spl2_4 ),
    inference(resolution,[],[f33,f20]) ).

fof(f33,plain,
    ( big_q(sK0)
    | ~ spl2_4 ),
    inference(avatar_component_clause,[],[f31]) ).

fof(f31,plain,
    ( spl2_4
  <=> big_q(sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_4])]) ).

fof(f37,plain,
    spl2_2,
    inference(avatar_split_clause,[],[f16,f22]) ).

fof(f22,plain,
    ( spl2_2
  <=> p ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).

fof(f16,plain,
    p,
    inference(duplicate_literal_removal,[],[f11]) ).

fof(f11,plain,
    ( p
    | p ),
    inference(cnf_transformation,[],[f10]) ).

fof(f10,plain,
    ( ( ! [X0] : ~ big_q(X0)
      | ~ p
      | ! [X1] :
          ( ~ big_q(X1)
          | ~ p ) )
    & ( ( big_q(sK0)
        & p )
      | ( big_q(sK1)
        & p ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f7,f9,f8]) ).

fof(f8,plain,
    ( ? [X2] : big_q(X2)
   => big_q(sK0) ),
    introduced(choice_axiom,[]) ).

fof(f9,plain,
    ( ? [X3] :
        ( big_q(X3)
        & p )
   => ( big_q(sK1)
      & p ) ),
    introduced(choice_axiom,[]) ).

fof(f7,plain,
    ( ( ! [X0] : ~ big_q(X0)
      | ~ p
      | ! [X1] :
          ( ~ big_q(X1)
          | ~ p ) )
    & ( ( ? [X2] : big_q(X2)
        & p )
      | ? [X3] :
          ( big_q(X3)
          & p ) ) ),
    inference(rectify,[],[f6]) ).

fof(f6,plain,
    ( ( ! [X1] : ~ big_q(X1)
      | ~ p
      | ! [X0] :
          ( ~ big_q(X0)
          | ~ p ) )
    & ( ( ? [X1] : big_q(X1)
        & p )
      | ? [X0] :
          ( big_q(X0)
          & p ) ) ),
    inference(flattening,[],[f5]) ).

fof(f5,plain,
    ( ( ! [X1] : ~ big_q(X1)
      | ~ p
      | ! [X0] :
          ( ~ big_q(X0)
          | ~ p ) )
    & ( ( ? [X1] : big_q(X1)
        & p )
      | ? [X0] :
          ( big_q(X0)
          & p ) ) ),
    inference(nnf_transformation,[],[f4]) ).

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

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

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

fof(f1,conjecture,
    ( ? [X0] :
        ( big_q(X0)
        & p )
  <=> ( ? [X0] : big_q(X0)
      & p ) ),
    file('/export/starexec/sandbox/tmp/tmp.4fDBt7SwSh/Vampire---4.8_29861',x2109) ).

fof(f34,plain,
    ( spl2_3
    | spl2_4 ),
    inference(avatar_split_clause,[],[f14,f31,f27]) ).

fof(f14,plain,
    ( big_q(sK0)
    | big_q(sK1) ),
    inference(cnf_transformation,[],[f10]) ).

fof(f25,plain,
    ( spl2_1
    | ~ spl2_2
    | spl2_1 ),
    inference(avatar_split_clause,[],[f17,f19,f22,f19]) ).

fof(f17,plain,
    ! [X0,X1] :
      ( ~ big_q(X0)
      | ~ p
      | ~ big_q(X1) ),
    inference(duplicate_literal_removal,[],[f15]) ).

fof(f15,plain,
    ! [X0,X1] :
      ( ~ big_q(X0)
      | ~ p
      | ~ big_q(X1)
      | ~ p ),
    inference(cnf_transformation,[],[f10]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.17  % Problem    : SYN358+1 : TPTP v8.1.2. Released v2.0.0.
% 0.14/0.19  % 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
% 0.15/0.40  % Computer : n023.cluster.edu
% 0.15/0.40  % Model    : x86_64 x86_64
% 0.15/0.40  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.40  % Memory   : 8042.1875MB
% 0.15/0.40  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.40  % CPULimit   : 300
% 0.15/0.40  % WCLimit    : 300
% 0.15/0.40  % DateTime   : Fri May  3 17:27:23 EDT 2024
% 0.15/0.40  % CPUTime    : 
% 0.15/0.40  This is a FOF_THM_EPR_NEQ problem
% 0.15/0.40  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.4fDBt7SwSh/Vampire---4.8_29861
% 0.57/0.79  % (30248)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)
% 0.57/0.79  % (30248)First to succeed.
% 0.57/0.79  % (30241)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)
% 0.57/0.79  % (30243)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.57/0.79  % (30242)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)
% 0.57/0.79  % (30245)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)
% 0.57/0.79  % (30248)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-30086"
% 0.57/0.79  % (30246)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)
% 0.57/0.79  % (30244)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)
% 0.57/0.79  % (30247)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)
% 0.57/0.79  % (30248)Refutation found. Thanks to Tanya!
% 0.57/0.79  % SZS status Theorem for Vampire---4
% 0.57/0.79  % SZS output start Proof for Vampire---4
% See solution above
% 0.57/0.79  % (30248)------------------------------
% 0.57/0.79  % (30248)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.79  % (30248)Termination reason: Refutation
% 0.57/0.79  
% 0.57/0.79  % (30248)Memory used [KB]: 976
% 0.57/0.79  % (30248)Time elapsed: 0.002 s
% 0.57/0.79  % (30248)Instructions burned: 2 (million)
% 0.57/0.79  % (30086)Success in time 0.383 s
% 0.57/0.79  % Vampire---4.8 exiting
%------------------------------------------------------------------------------