TSTP Solution File: SYN937+1 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYN937+1 : TPTP v8.2.0. 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 : n005.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 : Tue May 21 08:33:06 EDT 2024

% Result   : Theorem 0.11s 0.55s
% Output   : Refutation 0.11s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   29 (   2 unt;   0 def)
%            Number of atoms       :   95 (   0 equ)
%            Maximal formula atoms :    8 (   3 avg)
%            Number of connectives :  110 (  44   ~;  37   |;  14   &)
%                                         (   6 <=>;   8  =>;   0  <=;   1 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   5 prp; 0-1 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :   32 (  21   !;  11   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f36,plain,
    $false,
    inference(avatar_sat_refutation,[],[f26,f31,f33,f35]) ).

fof(f35,plain,
    ( ~ spl2_1
    | ~ spl2_3 ),
    inference(avatar_contradiction_clause,[],[f34]) ).

fof(f34,plain,
    ( $false
    | ~ spl2_1
    | ~ spl2_3 ),
    inference(subsumption_resolution,[],[f21,f30]) ).

fof(f30,plain,
    ( ! [X3] : ~ p(X3)
    | ~ spl2_3 ),
    inference(avatar_component_clause,[],[f29]) ).

fof(f29,plain,
    ( spl2_3
  <=> ! [X3] : ~ p(X3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_3])]) ).

fof(f21,plain,
    ( p(sK1)
    | ~ spl2_1 ),
    inference(avatar_component_clause,[],[f19]) ).

fof(f19,plain,
    ( spl2_1
  <=> p(sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).

fof(f33,plain,
    ( ~ spl2_2
    | ~ spl2_3 ),
    inference(avatar_contradiction_clause,[],[f32]) ).

fof(f32,plain,
    ( $false
    | ~ spl2_2
    | ~ spl2_3 ),
    inference(subsumption_resolution,[],[f25,f30]) ).

fof(f25,plain,
    ( p(sK0)
    | ~ spl2_2 ),
    inference(avatar_component_clause,[],[f23]) ).

fof(f23,plain,
    ( spl2_2
  <=> p(sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).

fof(f31,plain,
    ( spl2_3
    | spl2_3 ),
    inference(avatar_split_clause,[],[f27,f29,f29]) ).

fof(f27,plain,
    ! [X2,X3] :
      ( ~ p(X2)
      | ~ p(X3) ),
    inference(subsumption_resolution,[],[f16,f17]) ).

fof(f17,plain,
    ~ c,
    inference(duplicate_literal_removal,[],[f15]) ).

fof(f15,plain,
    ( ~ c
    | ~ c ),
    inference(cnf_transformation,[],[f10]) ).

fof(f10,plain,
    ( ( ( ~ c
        & p(sK0) )
      | ( ~ c
        & p(sK1) ) )
    & ( c
      | ! [X2] : ~ p(X2)
      | ! [X3] :
          ( c
          | ~ p(X3) ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f7,f9,f8]) ).

fof(f8,plain,
    ( ? [X0] : p(X0)
   => p(sK0) ),
    introduced(choice_axiom,[]) ).

fof(f9,plain,
    ( ? [X1] :
        ( ~ c
        & p(X1) )
   => ( ~ c
      & p(sK1) ) ),
    introduced(choice_axiom,[]) ).

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

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

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

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

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

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

fof(f1,conjecture,
    ( ! [X0] :
        ( p(X0)
       => c )
  <=> ( ? [X0] : p(X0)
     => c ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).

fof(f16,plain,
    ! [X2,X3] :
      ( c
      | ~ p(X2)
      | ~ p(X3) ),
    inference(duplicate_literal_removal,[],[f11]) ).

fof(f11,plain,
    ! [X2,X3] :
      ( c
      | ~ p(X2)
      | c
      | ~ p(X3) ),
    inference(cnf_transformation,[],[f10]) ).

fof(f26,plain,
    ( spl2_1
    | spl2_2 ),
    inference(avatar_split_clause,[],[f12,f23,f19]) ).

fof(f12,plain,
    ( p(sK0)
    | p(sK1) ),
    inference(cnf_transformation,[],[f10]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.07  % Problem    : SYN937+1 : TPTP v8.2.0. Released v3.1.0.
% 0.02/0.08  % 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
% 0.07/0.26  % Computer : n005.cluster.edu
% 0.07/0.26  % Model    : x86_64 x86_64
% 0.07/0.26  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26  % Memory   : 8042.1875MB
% 0.07/0.26  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26  % CPULimit   : 300
% 0.07/0.26  % WCLimit    : 300
% 0.07/0.26  % DateTime   : Mon May 20 13:51:52 EDT 2024
% 0.07/0.27  % CPUTime    : 
% 0.07/0.27  This is a FOF_THM_EPR_NEQ problem
% 0.07/0.27  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/benchmark/theBenchmark.p
% 0.11/0.55  % (29311)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2997ds/56Mi)
% 0.11/0.55  % (29311)First to succeed.
% 0.11/0.55  % (29311)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-29303"
% 0.11/0.55  % (29304)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 theBenchmark for (2997ds/34Mi)
% 0.11/0.55  % (29306)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2997ds/78Mi)
% 0.11/0.55  % (29308)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 theBenchmark for (2997ds/34Mi)
% 0.11/0.55  % (29305)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 theBenchmark for (2997ds/51Mi)
% 0.11/0.55  % (29309)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2997ds/45Mi)
% 0.11/0.55  % (29307)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2997ds/33Mi)
% 0.11/0.55  % (29310)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 theBenchmark for (2997ds/83Mi)
% 0.11/0.55  % (29311)Refutation found. Thanks to Tanya!
% 0.11/0.55  % SZS status Theorem for theBenchmark
% 0.11/0.55  % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.55  % (29311)------------------------------
% 0.11/0.55  % (29311)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.11/0.55  % (29311)Termination reason: Refutation
% 0.11/0.55  
% 0.11/0.55  % (29311)Memory used [KB]: 965
% 0.11/0.55  % (29311)Time elapsed: 0.002 s
% 0.11/0.55  % (29311)Instructions burned: 2 (million)
% 0.11/0.55  % (29303)Success in time 0.281 s
% 0.11/0.55  % Vampire---4.8 exiting
%------------------------------------------------------------------------------