TSTP Solution File: SYN373+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYN373+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 : n016.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 11:57:06 EDT 2024

% Result   : Theorem 0.60s 0.81s
% Output   : Refutation 0.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   34 (   7 unt;   0 def)
%            Number of atoms       :   99 (   0 equ)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :  104 (  39   ~;  36   |;  12   &)
%                                         (   7 <=>;   9  =>;   0  <=;   1 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   5 prp; 0-1 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   42 (  21   !;  21   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f44,plain,
    $false,
    inference(avatar_sat_refutation,[],[f35,f37,f39,f41,f43]) ).

fof(f43,plain,
    spl3_1,
    inference(avatar_contradiction_clause,[],[f42]) ).

fof(f42,plain,
    ( $false
    | spl3_1 ),
    inference(resolution,[],[f22,f17]) ).

fof(f17,plain,
    ! [X2] : big_p(X2),
    inference(condensation,[],[f13]) ).

fof(f13,plain,
    ! [X2,X1] :
      ( big_p(X1)
      | big_p(X2) ),
    inference(cnf_transformation,[],[f11]) ).

fof(f11,plain,
    ( ( ( ! [X0] : ~ big_q(X0)
        & ! [X1] : big_p(X1) )
      | ! [X2] :
          ( ~ big_q(X2)
          & big_p(X2) ) )
    & ( big_q(sK0)
      | ~ big_p(sK1)
      | big_q(sK2)
      | ~ big_p(sK2) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f7,f10,f9,f8]) ).

fof(f8,plain,
    ( ? [X3] : big_q(X3)
   => big_q(sK0) ),
    introduced(choice_axiom,[]) ).

fof(f9,plain,
    ( ? [X4] : ~ big_p(X4)
   => ~ big_p(sK1) ),
    introduced(choice_axiom,[]) ).

fof(f10,plain,
    ( ? [X5] :
        ( big_q(X5)
        | ~ big_p(X5) )
   => ( big_q(sK2)
      | ~ big_p(sK2) ) ),
    introduced(choice_axiom,[]) ).

fof(f7,plain,
    ( ( ( ! [X0] : ~ big_q(X0)
        & ! [X1] : big_p(X1) )
      | ! [X2] :
          ( ~ big_q(X2)
          & big_p(X2) ) )
    & ( ? [X3] : big_q(X3)
      | ? [X4] : ~ big_p(X4)
      | ? [X5] :
          ( big_q(X5)
          | ~ big_p(X5) ) ) ),
    inference(rectify,[],[f6]) ).

fof(f6,plain,
    ( ( ( ! [X2] : ~ big_q(X2)
        & ! [X1] : big_p(X1) )
      | ! [X0] :
          ( ~ big_q(X0)
          & big_p(X0) ) )
    & ( ? [X2] : big_q(X2)
      | ? [X1] : ~ big_p(X1)
      | ? [X0] :
          ( big_q(X0)
          | ~ big_p(X0) ) ) ),
    inference(flattening,[],[f5]) ).

fof(f5,plain,
    ( ( ( ! [X2] : ~ big_q(X2)
        & ! [X1] : big_p(X1) )
      | ! [X0] :
          ( ~ big_q(X0)
          & big_p(X0) ) )
    & ( ? [X2] : big_q(X2)
      | ? [X1] : ~ big_p(X1)
      | ? [X0] :
          ( big_q(X0)
          | ~ big_p(X0) ) ) ),
    inference(nnf_transformation,[],[f4]) ).

fof(f4,plain,
    ( ? [X0] :
        ( big_q(X0)
        | ~ big_p(X0) )
  <~> ( ? [X2] : big_q(X2)
      | ? [X1] : ~ big_p(X1) ) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f3,plain,
    ~ ( ? [X0] :
          ( big_p(X0)
         => big_q(X0) )
    <=> ( ! [X1] : big_p(X1)
       => ? [X2] : big_q(X2) ) ),
    inference(rectify,[],[f2]) ).

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

fof(f1,conjecture,
    ( ? [X0] :
        ( big_p(X0)
       => big_q(X0) )
  <=> ( ! [X0] : big_p(X0)
     => ? [X0] : big_q(X0) ) ),
    file('/export/starexec/sandbox/tmp/tmp.qm6ELbb2BA/Vampire---4.8_12880',x2124) ).

fof(f22,plain,
    ( ~ big_p(sK2)
    | spl3_1 ),
    inference(avatar_component_clause,[],[f20]) ).

fof(f20,plain,
    ( spl3_1
  <=> big_p(sK2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).

fof(f41,plain,
    ~ spl3_4,
    inference(avatar_contradiction_clause,[],[f40]) ).

fof(f40,plain,
    ( $false
    | ~ spl3_4 ),
    inference(resolution,[],[f34,f18]) ).

fof(f18,plain,
    ! [X2] : ~ big_q(X2),
    inference(condensation,[],[f16]) ).

fof(f16,plain,
    ! [X2,X0] :
      ( ~ big_q(X0)
      | ~ big_q(X2) ),
    inference(cnf_transformation,[],[f11]) ).

fof(f34,plain,
    ( big_q(sK0)
    | ~ spl3_4 ),
    inference(avatar_component_clause,[],[f32]) ).

fof(f32,plain,
    ( spl3_4
  <=> big_q(sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_4])]) ).

fof(f39,plain,
    spl3_3,
    inference(avatar_contradiction_clause,[],[f38]) ).

fof(f38,plain,
    ( $false
    | spl3_3 ),
    inference(resolution,[],[f30,f17]) ).

fof(f30,plain,
    ( ~ big_p(sK1)
    | spl3_3 ),
    inference(avatar_component_clause,[],[f28]) ).

fof(f28,plain,
    ( spl3_3
  <=> big_p(sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).

fof(f37,plain,
    ~ spl3_2,
    inference(avatar_contradiction_clause,[],[f36]) ).

fof(f36,plain,
    ( $false
    | ~ spl3_2 ),
    inference(resolution,[],[f26,f18]) ).

fof(f26,plain,
    ( big_q(sK2)
    | ~ spl3_2 ),
    inference(avatar_component_clause,[],[f24]) ).

fof(f24,plain,
    ( spl3_2
  <=> big_q(sK2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).

fof(f35,plain,
    ( ~ spl3_1
    | spl3_2
    | ~ spl3_3
    | spl3_4 ),
    inference(avatar_split_clause,[],[f12,f32,f28,f24,f20]) ).

fof(f12,plain,
    ( big_q(sK0)
    | ~ big_p(sK1)
    | big_q(sK2)
    | ~ big_p(sK2) ),
    inference(cnf_transformation,[],[f11]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SYN373+1 : TPTP v8.1.2. Released v2.0.0.
% 0.13/0.14  % 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
% 0.14/0.35  % Computer : n016.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 17:49:23 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.qm6ELbb2BA/Vampire---4.8_12880
% 0.60/0.81  % (13220)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 (2995ds/34Mi)
% 0.60/0.81  % (13223)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.60/0.81  % (13222)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.60/0.81  % (13224)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 (2995ds/34Mi)
% 0.60/0.81  % (13221)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 (2995ds/51Mi)
% 0.60/0.81  % (13225)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.60/0.81  % (13226)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 (2995ds/83Mi)
% 0.60/0.81  % (13227)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 (2995ds/56Mi)
% 0.60/0.81  % (13222)Also succeeded, but the first one will report.
% 0.60/0.81  % (13225)Also succeeded, but the first one will report.
% 0.60/0.81  % (13224)Also succeeded, but the first one will report.
% 0.60/0.81  % (13220)Also succeeded, but the first one will report.
% 0.60/0.81  % (13223)Also succeeded, but the first one will report.
% 0.60/0.81  % (13221)First to succeed.
% 0.60/0.81  % (13227)Also succeeded, but the first one will report.
% 0.60/0.81  % (13226)Also succeeded, but the first one will report.
% 0.60/0.81  % (13221)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-13122"
% 0.60/0.81  % (13221)Refutation found. Thanks to Tanya!
% 0.60/0.81  % SZS status Theorem for Vampire---4
% 0.60/0.81  % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.81  % (13221)------------------------------
% 0.60/0.81  % (13221)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.81  % (13221)Termination reason: Refutation
% 0.60/0.81  
% 0.60/0.81  % (13221)Memory used [KB]: 971
% 0.60/0.81  % (13221)Time elapsed: 0.004 s
% 0.60/0.81  % (13221)Instructions burned: 3 (million)
% 0.60/0.81  % (13122)Success in time 0.446 s
% 0.60/0.81  % Vampire---4.8 exiting
%------------------------------------------------------------------------------