TSTP Solution File: SYN367+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYN367+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 : 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 : Sun May  5 11:57:05 EDT 2024

% Result   : Theorem 0.56s 0.81s
% Output   : Refutation 0.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   25 (   5 unt;   0 def)
%            Number of atoms       :   73 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   79 (  31   ~;  18   |;  22   &)
%                                         (   3 <=>;   5  =>;   0  <=;   0 <~>)
%            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    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :   27 (  19   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f36,plain,
    $false,
    inference(avatar_sat_refutation,[],[f23,f27,f31,f35]) ).

fof(f35,plain,
    ~ spl2_3,
    inference(avatar_contradiction_clause,[],[f32]) ).

fof(f32,plain,
    ( $false
    | ~ spl2_3 ),
    inference(unit_resulting_resolution,[],[f14,f26]) ).

fof(f26,plain,
    ( ! [X2] : big_q(X2)
    | ~ spl2_3 ),
    inference(avatar_component_clause,[],[f25]) ).

fof(f25,plain,
    ( spl2_3
  <=> ! [X2] : big_q(X2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_3])]) ).

fof(f14,plain,
    ~ big_q(sK1),
    inference(cnf_transformation,[],[f9]) ).

fof(f9,plain,
    ( ~ big_r(sK0)
    & ~ big_q(sK1)
    & ! [X2] :
        ( ( big_r(X2)
          & ~ p )
        | ( big_q(X2)
          & p ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f6,f8,f7]) ).

fof(f7,plain,
    ( ? [X0] : ~ big_r(X0)
   => ~ big_r(sK0) ),
    introduced(choice_axiom,[]) ).

fof(f8,plain,
    ( ? [X1] : ~ big_q(X1)
   => ~ big_q(sK1) ),
    introduced(choice_axiom,[]) ).

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

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

fof(f4,plain,
    ( ? [X1] : ~ big_r(X1)
    & ? [X2] : ~ big_q(X2)
    & ! [X0] :
        ( ( big_r(X0)
          & ~ p )
        | ( big_q(X0)
          & p ) ) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f3,plain,
    ~ ( ! [X0] :
          ( ( big_r(X0)
            & ~ p )
          | ( big_q(X0)
            & p ) )
     => ( ! [X1] : big_r(X1)
        | ! [X2] : big_q(X2) ) ),
    inference(rectify,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ( ! [X0] :
          ( ( big_r(X0)
            & ~ p )
          | ( big_q(X0)
            & p ) )
     => ( ! [X0] : big_r(X0)
        | ! [X0] : big_q(X0) ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ( ! [X0] :
        ( ( big_r(X0)
          & ~ p )
        | ( big_q(X0)
          & p ) )
   => ( ! [X0] : big_r(X0)
      | ! [X0] : big_q(X0) ) ),
    file('/export/starexec/sandbox/tmp/tmp.71q8VGXtEc/Vampire---4.8_29845',x2118) ).

fof(f31,plain,
    ~ spl2_2,
    inference(avatar_contradiction_clause,[],[f28]) ).

fof(f28,plain,
    ( $false
    | ~ spl2_2 ),
    inference(unit_resulting_resolution,[],[f15,f22]) ).

fof(f22,plain,
    ( ! [X2] : big_r(X2)
    | ~ spl2_2 ),
    inference(avatar_component_clause,[],[f21]) ).

fof(f21,plain,
    ( spl2_2
  <=> ! [X2] : big_r(X2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).

fof(f15,plain,
    ~ big_r(sK0),
    inference(cnf_transformation,[],[f9]) ).

fof(f27,plain,
    ( spl2_3
    | ~ spl2_1 ),
    inference(avatar_split_clause,[],[f11,f17,f25]) ).

fof(f17,plain,
    ( spl2_1
  <=> p ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).

fof(f11,plain,
    ! [X2] :
      ( ~ p
      | big_q(X2) ),
    inference(cnf_transformation,[],[f9]) ).

fof(f23,plain,
    ( spl2_1
    | spl2_2 ),
    inference(avatar_split_clause,[],[f12,f21,f17]) ).

fof(f12,plain,
    ! [X2] :
      ( big_r(X2)
      | p ),
    inference(cnf_transformation,[],[f9]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.13  % Problem    : SYN367+1 : TPTP v8.1.2. Released v2.0.0.
% 0.09/0.15  % 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
% 0.10/0.35  % Computer : n019.cluster.edu
% 0.10/0.35  % Model    : x86_64 x86_64
% 0.10/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35  % Memory   : 8042.1875MB
% 0.10/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.35  % CPULimit   : 300
% 0.10/0.35  % WCLimit    : 300
% 0.10/0.35  % DateTime   : Fri May  3 17:13:07 EDT 2024
% 0.10/0.35  % CPUTime    : 
% 0.10/0.35  This is a FOF_THM_EPR_NEQ problem
% 0.10/0.35  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.71q8VGXtEc/Vampire---4.8_29845
% 0.56/0.80  % (29956)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)
% 0.56/0.80  % (29957)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)
% 0.56/0.80  % (29955)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.56/0.80  % (29953)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)
% 0.56/0.80  % (29954)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)
% 0.56/0.80  % (29958)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)
% 0.56/0.80  % (29959)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)
% 0.56/0.80  % (29960)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)
% 0.56/0.80  % (29955)Also succeeded, but the first one will report.
% 0.56/0.80  % (29953)Also succeeded, but the first one will report.
% 0.56/0.80  % (29954)Also succeeded, but the first one will report.
% 0.56/0.80  % (29958)Also succeeded, but the first one will report.
% 0.56/0.80  % (29957)Also succeeded, but the first one will report.
% 0.56/0.80  % (29959)Also succeeded, but the first one will report.
% 0.56/0.80  % (29956)First to succeed.
% 0.56/0.80  % (29960)Also succeeded, but the first one will report.
% 0.56/0.80  % (29956)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-29952"
% 0.56/0.81  % (29956)Refutation found. Thanks to Tanya!
% 0.56/0.81  % SZS status Theorem for Vampire---4
% 0.56/0.81  % SZS output start Proof for Vampire---4
% See solution above
% 0.56/0.81  % (29956)------------------------------
% 0.56/0.81  % (29956)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.81  % (29956)Termination reason: Refutation
% 0.56/0.81  
% 0.56/0.81  % (29956)Memory used [KB]: 969
% 0.56/0.81  % (29956)Time elapsed: 0.003 s
% 0.56/0.81  % (29956)Instructions burned: 2 (million)
% 0.56/0.81  % (29952)Success in time 0.447 s
% 0.56/0.81  % Vampire---4.8 exiting
%------------------------------------------------------------------------------