TSTP Solution File: SYN343+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYN343+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 : n026.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 04:34:03 EDT 2024

% Result   : Theorem 0.55s 0.76s
% Output   : Refutation 0.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   21 (   4 unt;   0 def)
%            Number of atoms       :   47 (   0 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   48 (  22   ~;  12   |;   4   &)
%                                         (   4 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   5 prp; 0-2 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :   28 (  21   !;   7   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f40,plain,
    $false,
    inference(avatar_sat_refutation,[],[f16,f20,f22,f39]) ).

fof(f39,plain,
    ~ spl2_2,
    inference(avatar_contradiction_clause,[],[f38]) ).

fof(f38,plain,
    ( $false
    | ~ spl2_2 ),
    inference(subsumption_resolution,[],[f28,f15]) ).

fof(f15,plain,
    ( ! [X2,X1] : ~ big_f(X1,X2)
    | ~ spl2_2 ),
    inference(avatar_component_clause,[],[f14]) ).

fof(f14,plain,
    ( spl2_2
  <=> ! [X2,X1] : ~ big_f(X1,X2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).

fof(f28,plain,
    ! [X0] : big_f(X0,X0),
    inference(factoring,[],[f4]) ).

fof(f4,plain,
    ! [X0,X1] :
      ( big_f(X0,X1)
      | big_f(X0,X0) ),
    inference(cnf_transformation,[],[f3]) ).

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

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

fof(f1,conjecture,
    ? [X0,X1,X2] :
    ! [X3] :
      ( ( ( big_f(X0,X1)
         => big_f(X3,X0) )
       => big_f(X0,X0) )
     => ( big_f(X1,X2)
        & big_f(X0,X0) ) ),
    file('/export/starexec/sandbox/tmp/tmp.gukBlIB2sW/Vampire---4.8_25711',church_46_16_2) ).

fof(f22,plain,
    ~ spl2_3,
    inference(avatar_contradiction_clause,[],[f21]) ).

fof(f21,plain,
    ( $false
    | ~ spl2_3 ),
    inference(subsumption_resolution,[],[f19,f4]) ).

fof(f19,plain,
    ( ! [X0] : ~ big_f(X0,X0)
    | ~ spl2_3 ),
    inference(avatar_component_clause,[],[f18]) ).

fof(f18,plain,
    ( spl2_3
  <=> ! [X0] : ~ big_f(X0,X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_3])]) ).

fof(f20,plain,
    ( spl2_1
    | spl2_3 ),
    inference(avatar_split_clause,[],[f7,f18,f10]) ).

fof(f10,plain,
    ( spl2_1
  <=> sP1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).

fof(f7,plain,
    ! [X0] :
      ( ~ big_f(X0,X0)
      | sP1 ),
    inference(cnf_transformation,[],[f7_D]) ).

fof(f7_D,plain,
    ( ! [X0] : ~ big_f(X0,X0)
  <=> ~ sP1 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP1])]) ).

fof(f16,plain,
    ( ~ spl2_1
    | spl2_2 ),
    inference(avatar_split_clause,[],[f8,f14,f10]) ).

fof(f8,plain,
    ! [X2,X1] :
      ( ~ big_f(X1,X2)
      | ~ sP1 ),
    inference(general_splitting,[],[f6,f7_D]) ).

fof(f6,plain,
    ! [X2,X0,X1] :
      ( ~ big_f(X0,X0)
      | ~ big_f(X1,X2) ),
    inference(cnf_transformation,[],[f3]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SYN343+1 : TPTP v8.1.2. Released v2.0.0.
% 0.07/0.15  % 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
% 0.14/0.36  % Computer : n026.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Tue Apr 30 17:44:19 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.gukBlIB2sW/Vampire---4.8_25711
% 0.55/0.76  % (25986)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)
% 0.55/0.76  % (25986)First to succeed.
% 0.55/0.76  % (25980)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)
% 0.55/0.76  % (25983)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)
% 0.55/0.76  % (25985)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)
% 0.55/0.76  % (25982)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.55/0.76  % (25987)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)
% 0.55/0.76  % (25986)Refutation found. Thanks to Tanya!
% 0.55/0.76  % SZS status Theorem for Vampire---4
% 0.55/0.76  % SZS output start Proof for Vampire---4
% See solution above
% 0.55/0.76  % (25986)------------------------------
% 0.55/0.76  % (25986)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.76  % (25986)Termination reason: Refutation
% 0.55/0.76  
% 0.55/0.76  % (25986)Memory used [KB]: 983
% 0.55/0.76  % (25986)Time elapsed: 0.002 s
% 0.55/0.76  % (25986)Instructions burned: 2 (million)
% 0.55/0.76  % (25986)------------------------------
% 0.55/0.76  % (25986)------------------------------
% 0.55/0.76  % (25976)Success in time 0.389 s
% 0.55/0.76  % Vampire---4.8 exiting
%------------------------------------------------------------------------------