TSTP Solution File: SYN354+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYN354+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 : n031.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 04:34:06 EDT 2024

% Result   : Theorem 0.53s 0.74s
% Output   : Refutation 0.53s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   25 (   3 unt;   0 def)
%            Number of atoms       :   93 (   0 equ)
%            Maximal formula atoms :   11 (   3 avg)
%            Number of connectives :   99 (  31   ~;  34   |;  12   &)
%                                         (   8 <=>;  12  =>;   0  <=;   2 <~>)
%            Maximal formula depth :   13 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   3 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :   26 (  16   !;  10   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f79,plain,
    $false,
    inference(avatar_sat_refutation,[],[f32,f49,f78]) ).

fof(f78,plain,
    ( spl3_3
    | ~ spl3_4 ),
    inference(avatar_contradiction_clause,[],[f77]) ).

fof(f77,plain,
    ( $false
    | spl3_3
    | ~ spl3_4 ),
    inference(subsumption_resolution,[],[f76,f26]) ).

fof(f26,plain,
    ( ~ big_f(sK1,sK1)
    | spl3_3 ),
    inference(avatar_component_clause,[],[f25]) ).

fof(f25,plain,
    ( spl3_3
  <=> big_f(sK1,sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).

fof(f76,plain,
    ( big_f(sK1,sK1)
    | ~ spl3_4 ),
    inference(subsumption_resolution,[],[f75,f10]) ).

fof(f10,plain,
    big_f(sK0,sK1),
    inference(cnf_transformation,[],[f4]) ).

fof(f4,plain,
    ? [X0,X1] :
    ! [X2,X3] :
    ? [X4] :
      ( ( ~ big_f(X2,X3)
        | ~ big_f(X1,X2)
        | ~ big_f(X0,X2) )
      & ( big_g(X1,X4)
      <=> big_g(X2,X4) )
      & ( big_f(X1,X3)
        | ~ big_f(X2,X3)
        | ( big_g(X1,X4)
        <~> big_g(X3,X4) ) )
      & big_g(X0,X1)
      & big_f(X0,X1) ),
    inference(flattening,[],[f3]) ).

fof(f3,plain,
    ? [X0,X1] :
    ! [X2,X3] :
    ? [X4] :
      ( ( ~ big_f(X2,X3)
        | ~ big_f(X1,X2)
        | ~ big_f(X0,X2) )
      & ( big_g(X1,X4)
      <=> big_g(X2,X4) )
      & ( big_f(X1,X3)
        | ~ big_f(X2,X3)
        | ( big_g(X1,X4)
        <~> big_g(X3,X4) ) )
      & big_g(X0,X1)
      & big_f(X0,X1) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ! [X0,X1] :
      ? [X2,X3] :
      ! [X4] :
        ( big_f(X0,X1)
       => ( big_g(X0,X1)
         => ( ( ( big_g(X1,X4)
              <=> big_g(X3,X4) )
             => ( big_f(X2,X3)
               => big_f(X1,X3) ) )
           => ( ( big_g(X1,X4)
              <=> big_g(X2,X4) )
             => ( big_f(X2,X3)
                & big_f(X1,X2)
                & big_f(X0,X2) ) ) ) ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ! [X0,X1] :
    ? [X2,X3] :
    ! [X4] :
      ( big_f(X0,X1)
     => ( big_g(X0,X1)
       => ( ( ( big_g(X1,X4)
            <=> big_g(X3,X4) )
           => ( big_f(X2,X3)
             => big_f(X1,X3) ) )
         => ( ( big_g(X1,X4)
            <=> big_g(X2,X4) )
           => ( big_f(X2,X3)
              & big_f(X1,X2)
              & big_f(X0,X2) ) ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.oclnSqsIAB/Vampire---4.8_6517',church_46_20_1) ).

fof(f75,plain,
    ( ~ big_f(sK0,sK1)
    | big_f(sK1,sK1)
    | ~ spl3_4 ),
    inference(subsumption_resolution,[],[f59,f31]) ).

fof(f31,plain,
    ( big_g(sK1,sK2(sK0,sK1))
    | ~ spl3_4 ),
    inference(avatar_component_clause,[],[f29]) ).

fof(f29,plain,
    ( spl3_4
  <=> big_g(sK1,sK2(sK0,sK1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_4])]) ).

fof(f59,plain,
    ( ~ big_g(sK1,sK2(sK0,sK1))
    | ~ big_f(sK0,sK1)
    | big_f(sK1,sK1)
    | ~ spl3_4 ),
    inference(resolution,[],[f31,f6]) ).

fof(f6,plain,
    ! [X2,X3] :
      ( ~ big_g(sK1,sK2(X2,X3))
      | ~ big_g(X3,sK2(X2,X3))
      | ~ big_f(X2,X3)
      | big_f(sK1,X3) ),
    inference(cnf_transformation,[],[f4]) ).

fof(f49,plain,
    ~ spl3_3,
    inference(avatar_contradiction_clause,[],[f48]) ).

fof(f48,plain,
    ( $false
    | ~ spl3_3 ),
    inference(subsumption_resolution,[],[f33,f10]) ).

fof(f33,plain,
    ( ~ big_f(sK0,sK1)
    | ~ spl3_3 ),
    inference(unit_resulting_resolution,[],[f27,f27,f7]) ).

fof(f7,plain,
    ! [X2,X3] :
      ( ~ big_f(X2,X3)
      | ~ big_f(sK1,X2)
      | ~ big_f(sK0,X2) ),
    inference(cnf_transformation,[],[f4]) ).

fof(f27,plain,
    ( big_f(sK1,sK1)
    | ~ spl3_3 ),
    inference(avatar_component_clause,[],[f25]) ).

fof(f32,plain,
    ( spl3_3
    | spl3_4 ),
    inference(avatar_split_clause,[],[f23,f29,f25]) ).

fof(f23,plain,
    ( big_g(sK1,sK2(sK0,sK1))
    | big_f(sK1,sK1) ),
    inference(duplicate_literal_removal,[],[f22]) ).

fof(f22,plain,
    ( big_g(sK1,sK2(sK0,sK1))
    | big_g(sK1,sK2(sK0,sK1))
    | big_f(sK1,sK1) ),
    inference(resolution,[],[f5,f10]) ).

fof(f5,plain,
    ! [X2,X3] :
      ( ~ big_f(X2,X3)
      | big_g(sK1,sK2(X2,X3))
      | big_g(X3,sK2(X2,X3))
      | big_f(sK1,X3) ),
    inference(cnf_transformation,[],[f4]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SYN354+1 : TPTP v8.1.2. Released v2.0.0.
% 0.07/0.14  % 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 : n031.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   : Tue Apr 30 18:01:59 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  This is a FOF_THM_RFO_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.oclnSqsIAB/Vampire---4.8_6517
% 0.53/0.74  % (6785)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)
% 0.53/0.74  % (6779)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)
% 0.53/0.74  % (6781)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.53/0.74  % (6782)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)
% 0.53/0.74  % (6785)First to succeed.
% 0.53/0.74  % (6784)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)
% 0.53/0.74  % (6786)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)
% 0.53/0.74  % (6783)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)
% 0.53/0.74  % (6784)Also succeeded, but the first one will report.
% 0.53/0.74  % (6785)Refutation found. Thanks to Tanya!
% 0.53/0.74  % SZS status Theorem for Vampire---4
% 0.53/0.74  % SZS output start Proof for Vampire---4
% See solution above
% 0.53/0.74  % (6785)------------------------------
% 0.53/0.74  % (6785)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.53/0.74  % (6785)Termination reason: Refutation
% 0.53/0.74  
% 0.53/0.74  % (6785)Memory used [KB]: 991
% 0.53/0.74  % (6785)Time elapsed: 0.003 s
% 0.53/0.74  % (6785)Instructions burned: 3 (million)
% 0.53/0.74  % (6785)------------------------------
% 0.53/0.74  % (6785)------------------------------
% 0.53/0.74  % (6775)Success in time 0.375 s
% 0.53/0.74  % Vampire---4.8 exiting
%------------------------------------------------------------------------------