TSTP Solution File: LCL454+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : LCL454+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -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 : Wed Aug 31 17:48:24 EDT 2022

% Result   : Theorem 1.45s 0.55s
% Output   : Refutation 1.45s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   33
% Syntax   : Number of formulae    :  117 (  30 unt;   0 def)
%            Number of atoms       :  255 (  30 equ)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :  245 ( 107   ~; 102   |;   2   &)
%                                         (  21 <=>;  13  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :   26 (  24 usr;  24 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   1 con; 0-2 aty)
%            Number of variables   :  127 ( 125   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f746,plain,
    $false,
    inference(avatar_sat_refutation,[],[f195,f204,f213,f221,f230,f247,f263,f271,f273,f283,f297,f299,f300,f305,f741]) ).

fof(f741,plain,
    ( ~ spl1_5
    | ~ spl1_8
    | spl1_9
    | ~ spl1_11
    | ~ spl1_14
    | ~ spl1_21
    | ~ spl1_23 ),
    inference(avatar_contradiction_clause,[],[f735]) ).

fof(f735,plain,
    ( $false
    | ~ spl1_5
    | ~ spl1_8
    | spl1_9
    | ~ spl1_11
    | ~ spl1_14
    | ~ spl1_21
    | ~ spl1_23 ),
    inference(resolution,[],[f557,f323]) ).

fof(f323,plain,
    ( ~ is_a_theorem(implies(implies(not(sK0),sK0),sK0))
    | ~ spl1_8
    | spl1_9
    | ~ spl1_14
    | ~ spl1_21 ),
    inference(backward_demodulation,[],[f314,f318]) ).

fof(f318,plain,
    ( ! [X0,X1] : implies(X1,X0) = not(not(implies(X1,not(not(X0)))))
    | ~ spl1_8
    | ~ spl1_21 ),
    inference(forward_demodulation,[],[f258,f306]) ).

fof(f306,plain,
    ( ! [X0,X1] : not(implies(X1,not(X0))) = and(X1,X0)
    | ~ spl1_8 ),
    inference(backward_demodulation,[],[f294,f203]) ).

fof(f203,plain,
    ( ! [X0,X1] : implies(X0,X1) = or(not(X0),X1)
    | ~ spl1_8 ),
    inference(avatar_component_clause,[],[f202]) ).

fof(f202,plain,
    ( spl1_8
  <=> ! [X0,X1] : implies(X0,X1) = or(not(X0),X1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_8])]) ).

fof(f294,plain,
    ! [X0,X1] : not(or(not(X1),not(X0))) = and(X1,X0),
    inference(subsumption_resolution,[],[f158,f135]) ).

fof(f135,plain,
    op_and,
    inference(cnf_transformation,[],[f51]) ).

fof(f51,axiom,
    op_and,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',principia_op_and) ).

fof(f158,plain,
    ! [X0,X1] :
      ( not(or(not(X1),not(X0))) = and(X1,X0)
      | ~ op_and ),
    inference(cnf_transformation,[],[f122]) ).

fof(f122,plain,
    ( ! [X0,X1] : not(or(not(X1),not(X0))) = and(X1,X0)
    | ~ op_and ),
    inference(rectify,[],[f113]) ).

fof(f113,plain,
    ( ! [X1,X0] : and(X0,X1) = not(or(not(X0),not(X1)))
    | ~ op_and ),
    inference(ennf_transformation,[],[f28]) ).

fof(f28,axiom,
    ( op_and
   => ! [X1,X0] : and(X0,X1) = not(or(not(X0),not(X1))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',op_and) ).

fof(f258,plain,
    ( ! [X0,X1] : implies(X1,X0) = not(and(X1,not(X0)))
    | ~ spl1_21 ),
    inference(avatar_component_clause,[],[f257]) ).

fof(f257,plain,
    ( spl1_21
  <=> ! [X0,X1] : implies(X1,X0) = not(and(X1,not(X0))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_21])]) ).

fof(f314,plain,
    ( ~ is_a_theorem(implies(not(not(implies(not(sK0),not(not(sK0))))),sK0))
    | ~ spl1_8
    | spl1_9
    | ~ spl1_14 ),
    inference(backward_demodulation,[],[f208,f313]) ).

fof(f313,plain,
    ( ! [X0,X1] : or(X1,X0) = not(not(implies(not(X1),not(not(X0)))))
    | ~ spl1_8
    | ~ spl1_14 ),
    inference(forward_demodulation,[],[f229,f306]) ).

fof(f229,plain,
    ( ! [X0,X1] : or(X1,X0) = not(and(not(X1),not(X0)))
    | ~ spl1_14 ),
    inference(avatar_component_clause,[],[f228]) ).

fof(f228,plain,
    ( spl1_14
  <=> ! [X0,X1] : or(X1,X0) = not(and(not(X1),not(X0))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_14])]) ).

fof(f208,plain,
    ( ~ is_a_theorem(implies(or(sK0,sK0),sK0))
    | spl1_9 ),
    inference(avatar_component_clause,[],[f206]) ).

fof(f206,plain,
    ( spl1_9
  <=> is_a_theorem(implies(or(sK0,sK0),sK0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_9])]) ).

fof(f557,plain,
    ( ! [X1] : is_a_theorem(implies(implies(not(X1),X1),X1))
    | ~ spl1_5
    | ~ spl1_8
    | ~ spl1_11
    | ~ spl1_14
    | ~ spl1_21
    | ~ spl1_23 ),
    inference(forward_demodulation,[],[f553,f393]) ).

fof(f393,plain,
    ( ! [X8,X6,X7] : implies(implies(X6,X7),X8) = implies(implies(X6,not(not(X7))),X8)
    | ~ spl1_8
    | ~ spl1_14
    | ~ spl1_21 ),
    inference(superposition,[],[f322,f318]) ).

fof(f322,plain,
    ( ! [X0,X1] : implies(X0,X1) = implies(not(not(X0)),X1)
    | ~ spl1_8
    | ~ spl1_14
    | ~ spl1_21 ),
    inference(backward_demodulation,[],[f317,f318]) ).

fof(f317,plain,
    ( ! [X0,X1] : implies(X0,X1) = not(not(implies(not(not(X0)),not(not(X1)))))
    | ~ spl1_8
    | ~ spl1_14 ),
    inference(backward_demodulation,[],[f203,f313]) ).

fof(f553,plain,
    ( ! [X1] : is_a_theorem(implies(implies(not(X1),not(not(X1))),X1))
    | ~ spl1_5
    | ~ spl1_8
    | ~ spl1_11
    | ~ spl1_23 ),
    inference(resolution,[],[f489,f366]) ).

fof(f366,plain,
    ( ! [X0,X1] :
        ( ~ is_a_theorem(implies(not(X1),not(X0)))
        | is_a_theorem(implies(X0,X1)) )
    | ~ spl1_5
    | ~ spl1_23 ),
    inference(resolution,[],[f266,f190]) ).

fof(f190,plain,
    ( ! [X0,X1] :
        ( ~ is_a_theorem(implies(X0,X1))
        | is_a_theorem(X1)
        | ~ is_a_theorem(X0) )
    | ~ spl1_5 ),
    inference(avatar_component_clause,[],[f189]) ).

fof(f189,plain,
    ( spl1_5
  <=> ! [X0,X1] :
        ( ~ is_a_theorem(implies(X0,X1))
        | ~ is_a_theorem(X0)
        | is_a_theorem(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_5])]) ).

fof(f266,plain,
    ( ! [X0,X1] : is_a_theorem(implies(implies(not(X0),not(X1)),implies(X1,X0)))
    | ~ spl1_23 ),
    inference(avatar_component_clause,[],[f265]) ).

fof(f265,plain,
    ( spl1_23
  <=> ! [X0,X1] : is_a_theorem(implies(implies(not(X0),not(X1)),implies(X1,X0))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_23])]) ).

fof(f489,plain,
    ( ! [X1] : is_a_theorem(implies(X1,not(implies(X1,not(X1)))))
    | ~ spl1_5
    | ~ spl1_8
    | ~ spl1_11 ),
    inference(resolution,[],[f361,f307]) ).

fof(f307,plain,
    ( ! [X0,X1] : is_a_theorem(implies(X1,implies(X0,not(implies(X1,not(X0))))))
    | ~ spl1_8 ),
    inference(backward_demodulation,[],[f196,f306]) ).

fof(f196,plain,
    ! [X0,X1] : is_a_theorem(implies(X1,implies(X0,and(X1,X0)))),
    inference(subsumption_resolution,[],[f138,f129]) ).

fof(f129,plain,
    and_3,
    inference(cnf_transformation,[],[f42]) ).

fof(f42,axiom,
    and_3,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hilbert_and_3) ).

fof(f138,plain,
    ! [X0,X1] :
      ( is_a_theorem(implies(X1,implies(X0,and(X1,X0))))
      | ~ and_3 ),
    inference(cnf_transformation,[],[f100]) ).

fof(f100,plain,
    ( ! [X0,X1] : is_a_theorem(implies(X1,implies(X0,and(X1,X0))))
    | ~ and_3 ),
    inference(ennf_transformation,[],[f84]) ).

fof(f84,plain,
    ( and_3
   => ! [X0,X1] : is_a_theorem(implies(X1,implies(X0,and(X1,X0)))) ),
    inference(unused_predicate_definition_removal,[],[f62]) ).

fof(f62,plain,
    ( and_3
  <=> ! [X0,X1] : is_a_theorem(implies(X1,implies(X0,and(X1,X0)))) ),
    inference(rectify,[],[f9]) ).

fof(f9,axiom,
    ( ! [X1,X0] : is_a_theorem(implies(X0,implies(X1,and(X0,X1))))
  <=> and_3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',and_3) ).

fof(f361,plain,
    ( ! [X0,X1] :
        ( ~ is_a_theorem(implies(X0,implies(X0,X1)))
        | is_a_theorem(implies(X0,X1)) )
    | ~ spl1_5
    | ~ spl1_11 ),
    inference(resolution,[],[f216,f190]) ).

fof(f216,plain,
    ( ! [X0,X1] : is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X0,X1)))
    | ~ spl1_11 ),
    inference(avatar_component_clause,[],[f215]) ).

fof(f215,plain,
    ( spl1_11
  <=> ! [X0,X1] : is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X0,X1))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_11])]) ).

fof(f305,plain,
    spl1_22,
    inference(avatar_split_clause,[],[f141,f260]) ).

fof(f260,plain,
    ( spl1_22
  <=> op_implies_and ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_22])]) ).

fof(f141,plain,
    op_implies_and,
    inference(cnf_transformation,[],[f33]) ).

fof(f33,axiom,
    op_implies_and,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hilbert_op_implies_and) ).

fof(f300,plain,
    ~ spl1_10,
    inference(avatar_split_clause,[],[f137,f210]) ).

fof(f210,plain,
    ( spl1_10
  <=> r1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_10])]) ).

fof(f137,plain,
    ~ r1,
    inference(cnf_transformation,[],[f72]) ).

fof(f72,plain,
    ~ r1,
    inference(flattening,[],[f54]) ).

fof(f54,negated_conjecture,
    ~ r1,
    inference(negated_conjecture,[],[f53]) ).

fof(f53,conjecture,
    r1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',principia_r1) ).

fof(f299,plain,
    spl1_6,
    inference(avatar_split_clause,[],[f166,f192]) ).

fof(f192,plain,
    ( spl1_6
  <=> modus_ponens ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_6])]) ).

fof(f166,plain,
    modus_ponens,
    inference(cnf_transformation,[],[f35]) ).

fof(f35,axiom,
    modus_ponens,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hilbert_modus_ponens) ).

fof(f297,plain,
    spl1_24,
    inference(avatar_split_clause,[],[f132,f268]) ).

fof(f268,plain,
    ( spl1_24
  <=> modus_tollens ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_24])]) ).

fof(f132,plain,
    modus_tollens,
    inference(cnf_transformation,[],[f36]) ).

fof(f36,axiom,
    modus_tollens,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hilbert_modus_tollens) ).

fof(f283,plain,
    spl1_7,
    inference(avatar_split_clause,[],[f160,f198]) ).

fof(f198,plain,
    ( spl1_7
  <=> op_implies_or ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_7])]) ).

fof(f160,plain,
    op_implies_or,
    inference(cnf_transformation,[],[f50]) ).

fof(f50,axiom,
    op_implies_or,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',principia_op_implies_or) ).

fof(f273,plain,
    spl1_12,
    inference(avatar_split_clause,[],[f157,f218]) ).

fof(f218,plain,
    ( spl1_12
  <=> implies_2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_12])]) ).

fof(f157,plain,
    implies_2,
    inference(cnf_transformation,[],[f38]) ).

fof(f38,axiom,
    implies_2,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hilbert_implies_2) ).

fof(f271,plain,
    ( spl1_23
    | ~ spl1_24 ),
    inference(avatar_split_clause,[],[f152,f268,f265]) ).

fof(f152,plain,
    ! [X0,X1] :
      ( ~ modus_tollens
      | is_a_theorem(implies(implies(not(X0),not(X1)),implies(X1,X0))) ),
    inference(cnf_transformation,[],[f120]) ).

fof(f120,plain,
    ( ! [X0,X1] : is_a_theorem(implies(implies(not(X0),not(X1)),implies(X1,X0)))
    | ~ modus_tollens ),
    inference(rectify,[],[f97]) ).

fof(f97,plain,
    ( ! [X1,X0] : is_a_theorem(implies(implies(not(X1),not(X0)),implies(X0,X1)))
    | ~ modus_tollens ),
    inference(ennf_transformation,[],[f90]) ).

fof(f90,plain,
    ( modus_tollens
   => ! [X1,X0] : is_a_theorem(implies(implies(not(X1),not(X0)),implies(X0,X1))) ),
    inference(unused_predicate_definition_removal,[],[f3]) ).

fof(f3,axiom,
    ( ! [X1,X0] : is_a_theorem(implies(implies(not(X1),not(X0)),implies(X0,X1)))
  <=> modus_tollens ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',modus_tollens) ).

fof(f263,plain,
    ( spl1_21
    | ~ spl1_22 ),
    inference(avatar_split_clause,[],[f161,f260,f257]) ).

fof(f161,plain,
    ! [X0,X1] :
      ( ~ op_implies_and
      | implies(X1,X0) = not(and(X1,not(X0))) ),
    inference(cnf_transformation,[],[f123]) ).

fof(f123,plain,
    ( ~ op_implies_and
    | ! [X0,X1] : implies(X1,X0) = not(and(X1,not(X0))) ),
    inference(rectify,[],[f109]) ).

fof(f109,plain,
    ( ~ op_implies_and
    | ! [X1,X0] : implies(X0,X1) = not(and(X0,not(X1))) ),
    inference(ennf_transformation,[],[f29]) ).

fof(f29,axiom,
    ( op_implies_and
   => ! [X1,X0] : implies(X0,X1) = not(and(X0,not(X1))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',op_implies_and) ).

fof(f247,plain,
    spl1_13,
    inference(avatar_split_clause,[],[f147,f224]) ).

fof(f224,plain,
    ( spl1_13
  <=> op_or ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_13])]) ).

fof(f147,plain,
    op_or,
    inference(cnf_transformation,[],[f32]) ).

fof(f32,axiom,
    op_or,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hilbert_op_or) ).

fof(f230,plain,
    ( ~ spl1_13
    | spl1_14 ),
    inference(avatar_split_clause,[],[f167,f228,f224]) ).

fof(f167,plain,
    ! [X0,X1] :
      ( or(X1,X0) = not(and(not(X1),not(X0)))
      | ~ op_or ),
    inference(cnf_transformation,[],[f125]) ).

fof(f125,plain,
    ( ~ op_or
    | ! [X0,X1] : or(X1,X0) = not(and(not(X1),not(X0))) ),
    inference(rectify,[],[f102]) ).

fof(f102,plain,
    ( ~ op_or
    | ! [X1,X0] : or(X0,X1) = not(and(not(X0),not(X1))) ),
    inference(ennf_transformation,[],[f27]) ).

fof(f27,axiom,
    ( op_or
   => ! [X1,X0] : or(X0,X1) = not(and(not(X0),not(X1))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',op_or) ).

fof(f221,plain,
    ( spl1_11
    | ~ spl1_12 ),
    inference(avatar_split_clause,[],[f151,f218,f215]) ).

fof(f151,plain,
    ! [X0,X1] :
      ( ~ implies_2
      | is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X0,X1))) ),
    inference(cnf_transformation,[],[f93]) ).

fof(f93,plain,
    ( ~ implies_2
    | ! [X0,X1] : is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X0,X1))) ),
    inference(ennf_transformation,[],[f88]) ).

fof(f88,plain,
    ( implies_2
   => ! [X0,X1] : is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X0,X1))) ),
    inference(unused_predicate_definition_removal,[],[f5]) ).

fof(f5,axiom,
    ( ! [X0,X1] : is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X0,X1)))
  <=> implies_2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',implies_2) ).

fof(f213,plain,
    ( ~ spl1_9
    | spl1_10 ),
    inference(avatar_split_clause,[],[f168,f210,f206]) ).

fof(f168,plain,
    ( r1
    | ~ is_a_theorem(implies(or(sK0,sK0),sK0)) ),
    inference(cnf_transformation,[],[f127]) ).

fof(f127,plain,
    ( r1
    | ~ is_a_theorem(implies(or(sK0,sK0),sK0)) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f96,f126]) ).

fof(f126,plain,
    ( ? [X0] : ~ is_a_theorem(implies(or(X0,X0),X0))
   => ~ is_a_theorem(implies(or(sK0,sK0),sK0)) ),
    introduced(choice_axiom,[]) ).

fof(f96,plain,
    ( r1
    | ? [X0] : ~ is_a_theorem(implies(or(X0,X0),X0)) ),
    inference(ennf_transformation,[],[f77]) ).

fof(f77,plain,
    ( ! [X0] : is_a_theorem(implies(or(X0,X0),X0))
   => r1 ),
    inference(unused_predicate_definition_removal,[],[f76]) ).

fof(f76,plain,
    ( ! [X0] : is_a_theorem(implies(or(X0,X0),X0))
  <=> r1 ),
    inference(rectify,[],[f22]) ).

fof(f22,axiom,
    ( r1
  <=> ! [X3] : is_a_theorem(implies(or(X3,X3),X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',r1) ).

fof(f204,plain,
    ( ~ spl1_7
    | spl1_8 ),
    inference(avatar_split_clause,[],[f139,f202,f198]) ).

fof(f139,plain,
    ! [X0,X1] :
      ( implies(X0,X1) = or(not(X0),X1)
      | ~ op_implies_or ),
    inference(cnf_transformation,[],[f116]) ).

fof(f116,plain,
    ( ~ op_implies_or
    | ! [X0,X1] : implies(X0,X1) = or(not(X0),X1) ),
    inference(rectify,[],[f98]) ).

fof(f98,plain,
    ( ~ op_implies_or
    | ! [X1,X0] : implies(X1,X0) = or(not(X1),X0) ),
    inference(ennf_transformation,[],[f66]) ).

fof(f66,plain,
    ( op_implies_or
   => ! [X1,X0] : implies(X1,X0) = or(not(X1),X0) ),
    inference(rectify,[],[f30]) ).

fof(f30,axiom,
    ( op_implies_or
   => ! [X1,X0] : implies(X0,X1) = or(not(X0),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',op_implies_or) ).

fof(f195,plain,
    ( spl1_5
    | ~ spl1_6 ),
    inference(avatar_split_clause,[],[f164,f192,f189]) ).

fof(f164,plain,
    ! [X0,X1] :
      ( ~ modus_ponens
      | ~ is_a_theorem(implies(X0,X1))
      | is_a_theorem(X1)
      | ~ is_a_theorem(X0) ),
    inference(cnf_transformation,[],[f111]) ).

fof(f111,plain,
    ( ! [X0,X1] :
        ( ~ is_a_theorem(implies(X0,X1))
        | is_a_theorem(X1)
        | ~ is_a_theorem(X0) )
    | ~ modus_ponens ),
    inference(flattening,[],[f110]) ).

fof(f110,plain,
    ( ! [X1,X0] :
        ( is_a_theorem(X1)
        | ~ is_a_theorem(X0)
        | ~ is_a_theorem(implies(X0,X1)) )
    | ~ modus_ponens ),
    inference(ennf_transformation,[],[f92]) ).

fof(f92,plain,
    ( modus_ponens
   => ! [X1,X0] :
        ( ( is_a_theorem(X0)
          & is_a_theorem(implies(X0,X1)) )
       => is_a_theorem(X1) ) ),
    inference(unused_predicate_definition_removal,[],[f1]) ).

fof(f1,axiom,
    ( ! [X1,X0] :
        ( ( is_a_theorem(X0)
          & is_a_theorem(implies(X0,X1)) )
       => is_a_theorem(X1) )
  <=> modus_ponens ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',modus_ponens) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : LCL454+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34  % Computer : n019.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 02:08:50 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.19/0.50  % (20588)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.19/0.50  % (20579)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.50  % (20571)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.51  % (20574)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.51  % (20591)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.51  % (20582)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.51  TRYING [1]
% 0.19/0.51  % (20572)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.51  TRYING [2]
% 0.19/0.51  % (20577)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.52  % (20578)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.52  % (20576)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.52  TRYING [1]
% 0.19/0.52  TRYING [3]
% 0.19/0.52  % (20567)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.52  % (20565)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.19/0.52  % (20566)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.53  % (20573)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.53  % (20593)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.53  % (20568)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53  % (20573)Instruction limit reached!
% 0.19/0.53  % (20573)------------------------------
% 0.19/0.53  % (20573)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (20573)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (20573)Termination reason: Unknown
% 0.19/0.53  % (20573)Termination phase: Property scanning
% 0.19/0.53  
% 0.19/0.53  % (20573)Memory used [KB]: 895
% 0.19/0.53  % (20573)Time elapsed: 0.002 s
% 0.19/0.53  % (20573)Instructions burned: 2 (million)
% 0.19/0.53  % (20573)------------------------------
% 0.19/0.53  % (20573)------------------------------
% 0.19/0.53  % (20569)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53  % (20584)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.53  % (20592)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.19/0.53  % (20581)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.54  % (20572)Instruction limit reached!
% 0.19/0.54  % (20572)------------------------------
% 0.19/0.54  % (20572)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (20572)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (20572)Termination reason: Unknown
% 0.19/0.54  % (20572)Termination phase: Saturation
% 0.19/0.54  
% 0.19/0.54  % (20572)Memory used [KB]: 5628
% 0.19/0.54  % (20572)Time elapsed: 0.139 s
% 0.19/0.54  % (20572)Instructions burned: 8 (million)
% 0.19/0.54  % (20572)------------------------------
% 0.19/0.54  % (20572)------------------------------
% 0.19/0.54  % (20570)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.19/0.54  % (20585)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.19/0.54  % (20589)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.54  % (20583)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.45/0.54  TRYING [2]
% 1.45/0.54  % (20588)First to succeed.
% 1.45/0.54  % (20580)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 1.45/0.54  % (20594)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 1.45/0.54  TRYING [3]
% 1.45/0.54  % (20575)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.45/0.55  % (20590)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.45/0.55  % (20588)Refutation found. Thanks to Tanya!
% 1.45/0.55  % SZS status Theorem for theBenchmark
% 1.45/0.55  % SZS output start Proof for theBenchmark
% See solution above
% 1.45/0.55  % (20588)------------------------------
% 1.45/0.55  % (20588)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.55  % (20588)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.55  % (20588)Termination reason: Refutation
% 1.45/0.55  
% 1.45/0.55  % (20588)Memory used [KB]: 6140
% 1.45/0.55  % (20588)Time elapsed: 0.089 s
% 1.45/0.55  % (20588)Instructions burned: 26 (million)
% 1.45/0.55  % (20588)------------------------------
% 1.45/0.55  % (20588)------------------------------
% 1.45/0.55  % (20563)Success in time 0.193 s
%------------------------------------------------------------------------------