TSTP Solution File: LCL517+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : LCL517+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 : n012.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 17:48:36 EDT 2022

% Result   : Theorem 2.82s 0.81s
% Output   : Refutation 2.82s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   29
%            Number of leaves      :   33
% Syntax   : Number of formulae    :  148 (  31 unt;   0 def)
%            Number of atoms       :  462 (  21 equ)
%            Maximal formula atoms :    9 (   3 avg)
%            Number of connectives :  595 ( 281   ~; 276   |;   2   &)
%                                         (  25 <=>;  11  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :   27 (  25 usr;  25 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   1 con; 0-2 aty)
%            Number of variables   :  185 ( 183   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1011,plain,
    $false,
    inference(avatar_sat_refutation,[],[f127,f135,f143,f153,f161,f169,f170,f178,f187,f195,f197,f198,f199,f200,f201,f203,f1010]) ).

fof(f1010,plain,
    ( ~ spl1_1
    | ~ spl1_4
    | ~ spl1_5
    | ~ spl1_10
    | ~ spl1_12
    | ~ spl1_14
    | spl1_16
    | ~ spl1_17 ),
    inference(avatar_contradiction_clause,[],[f1004]) ).

fof(f1004,plain,
    ( $false
    | ~ spl1_1
    | ~ spl1_4
    | ~ spl1_5
    | ~ spl1_10
    | ~ spl1_12
    | ~ spl1_14
    | spl1_16
    | ~ spl1_17 ),
    inference(resolution,[],[f908,f218]) ).

fof(f218,plain,
    ( ~ is_a_theorem(implies(or(sK0,sK0),sK0))
    | ~ spl1_1
    | spl1_16
    | ~ spl1_17 ),
    inference(backward_demodulation,[],[f186,f213]) ).

fof(f213,plain,
    ( ! [X2,X3] : or(X2,X3) = implies(not(X2),X3)
    | ~ spl1_1
    | ~ spl1_17 ),
    inference(superposition,[],[f122,f190]) ).

fof(f190,plain,
    ( ! [X0,X1] : implies(X1,X0) = not(and(X1,not(X0)))
    | ~ spl1_17 ),
    inference(avatar_component_clause,[],[f189]) ).

fof(f189,plain,
    ( spl1_17
  <=> ! [X0,X1] : implies(X1,X0) = not(and(X1,not(X0))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_17])]) ).

fof(f122,plain,
    ( ! [X0,X1] : or(X0,X1) = not(and(not(X0),not(X1)))
    | ~ spl1_1 ),
    inference(avatar_component_clause,[],[f121]) ).

fof(f121,plain,
    ( spl1_1
  <=> ! [X0,X1] : or(X0,X1) = not(and(not(X0),not(X1))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_1])]) ).

fof(f186,plain,
    ( ~ is_a_theorem(implies(implies(not(sK0),sK0),sK0))
    | spl1_16 ),
    inference(avatar_component_clause,[],[f184]) ).

fof(f184,plain,
    ( spl1_16
  <=> is_a_theorem(implies(implies(not(sK0),sK0),sK0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_16])]) ).

fof(f908,plain,
    ( ! [X3] : is_a_theorem(implies(or(X3,X3),X3))
    | ~ spl1_1
    | ~ spl1_4
    | ~ spl1_5
    | ~ spl1_10
    | ~ spl1_12
    | ~ spl1_14
    | ~ spl1_17 ),
    inference(forward_demodulation,[],[f907,f213]) ).

fof(f907,plain,
    ( ! [X3] : is_a_theorem(implies(implies(not(X3),X3),X3))
    | ~ spl1_1
    | ~ spl1_4
    | ~ spl1_5
    | ~ spl1_10
    | ~ spl1_12
    | ~ spl1_14
    | ~ spl1_17 ),
    inference(forward_demodulation,[],[f903,f217]) ).

fof(f217,plain,
    ( ! [X2,X0,X1] : implies(implies(X0,X1),X2) = or(and(X0,not(X1)),X2)
    | ~ spl1_1
    | ~ spl1_17 ),
    inference(forward_demodulation,[],[f209,f190]) ).

fof(f209,plain,
    ( ! [X2,X0,X1] : not(and(implies(X0,X1),not(X2))) = or(and(X0,not(X1)),X2)
    | ~ spl1_1
    | ~ spl1_17 ),
    inference(superposition,[],[f122,f190]) ).

fof(f903,plain,
    ( ! [X3] : is_a_theorem(or(and(not(X3),not(X3)),X3))
    | ~ spl1_1
    | ~ spl1_4
    | ~ spl1_5
    | ~ spl1_10
    | ~ spl1_12
    | ~ spl1_14
    | ~ spl1_17 ),
    inference(resolution,[],[f896,f361]) ).

fof(f361,plain,
    ( ! [X0,X1] :
        ( ~ is_a_theorem(implies(and(not(X1),not(X1)),X0))
        | is_a_theorem(or(X0,X1)) )
    | ~ spl1_1
    | ~ spl1_4
    | ~ spl1_5
    | ~ spl1_12
    | ~ spl1_17 ),
    inference(resolution,[],[f347,f138]) ).

fof(f138,plain,
    ( ! [X0,X1] :
        ( ~ is_a_theorem(implies(X0,X1))
        | is_a_theorem(X1)
        | ~ is_a_theorem(X0) )
    | ~ spl1_5 ),
    inference(avatar_component_clause,[],[f137]) ).

fof(f137,plain,
    ( spl1_5
  <=> ! [X0,X1] :
        ( is_a_theorem(X1)
        | ~ is_a_theorem(X0)
        | ~ is_a_theorem(implies(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_5])]) ).

fof(f347,plain,
    ( ! [X0,X1] : is_a_theorem(implies(implies(and(not(X0),not(X0)),X1),or(X1,X0)))
    | ~ spl1_1
    | ~ spl1_4
    | ~ spl1_5
    | ~ spl1_12
    | ~ spl1_17 ),
    inference(resolution,[],[f337,f221]) ).

fof(f221,plain,
    ( ! [X0] : is_a_theorem(or(X0,and(not(X0),not(X0))))
    | ~ spl1_1
    | ~ spl1_4
    | ~ spl1_17 ),
    inference(superposition,[],[f134,f213]) ).

fof(f134,plain,
    ( ! [X0] : is_a_theorem(implies(X0,and(X0,X0)))
    | ~ spl1_4 ),
    inference(avatar_component_clause,[],[f133]) ).

fof(f133,plain,
    ( spl1_4
  <=> ! [X0] : is_a_theorem(implies(X0,and(X0,X0))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_4])]) ).

fof(f337,plain,
    ( ! [X2,X0,X1] :
        ( ~ is_a_theorem(or(X2,X0))
        | is_a_theorem(implies(implies(X0,X1),or(X1,X2))) )
    | ~ spl1_1
    | ~ spl1_5
    | ~ spl1_12
    | ~ spl1_17 ),
    inference(resolution,[],[f325,f138]) ).

fof(f325,plain,
    ( ! [X3,X4,X5] : is_a_theorem(implies(or(X4,X5),implies(implies(X5,X3),or(X3,X4))))
    | ~ spl1_1
    | ~ spl1_12
    | ~ spl1_17 ),
    inference(forward_demodulation,[],[f324,f213]) ).

fof(f324,plain,
    ( ! [X3,X4,X5] : is_a_theorem(implies(implies(not(X4),X5),implies(implies(X5,X3),or(X3,X4))))
    | ~ spl1_1
    | ~ spl1_12
    | ~ spl1_17 ),
    inference(forward_demodulation,[],[f318,f217]) ).

fof(f318,plain,
    ( ! [X3,X4,X5] : is_a_theorem(implies(implies(not(X4),X5),or(and(X5,not(X3)),or(X3,X4))))
    | ~ spl1_1
    | ~ spl1_12
    | ~ spl1_17 ),
    inference(superposition,[],[f311,f122]) ).

fof(f311,plain,
    ( ! [X2,X0,X1] : is_a_theorem(implies(implies(X2,X1),or(and(X1,X0),not(and(X0,X2)))))
    | ~ spl1_1
    | ~ spl1_12
    | ~ spl1_17 ),
    inference(forward_demodulation,[],[f168,f213]) ).

fof(f168,plain,
    ( ! [X2,X0,X1] : is_a_theorem(implies(implies(X2,X1),implies(not(and(X1,X0)),not(and(X0,X2)))))
    | ~ spl1_12 ),
    inference(avatar_component_clause,[],[f167]) ).

fof(f167,plain,
    ( spl1_12
  <=> ! [X2,X0,X1] : is_a_theorem(implies(implies(X2,X1),implies(not(and(X1,X0)),not(and(X0,X2))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_12])]) ).

fof(f896,plain,
    ( ! [X0] : is_a_theorem(implies(X0,X0))
    | ~ spl1_1
    | ~ spl1_4
    | ~ spl1_5
    | ~ spl1_10
    | ~ spl1_12
    | ~ spl1_14
    | ~ spl1_17 ),
    inference(resolution,[],[f895,f230]) ).

fof(f230,plain,
    ( ! [X2,X1] :
        ( ~ is_a_theorem(equiv(X1,X2))
        | is_a_theorem(implies(X1,X2)) )
    | ~ spl1_5
    | ~ spl1_10
    | ~ spl1_14 ),
    inference(superposition,[],[f205,f160]) ).

fof(f160,plain,
    ( ! [X0,X1] : equiv(X0,X1) = and(implies(X0,X1),implies(X1,X0))
    | ~ spl1_10 ),
    inference(avatar_component_clause,[],[f159]) ).

fof(f159,plain,
    ( spl1_10
  <=> ! [X0,X1] : equiv(X0,X1) = and(implies(X0,X1),implies(X1,X0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_10])]) ).

fof(f205,plain,
    ( ! [X2,X1] :
        ( ~ is_a_theorem(and(X1,X2))
        | is_a_theorem(X1) )
    | ~ spl1_5
    | ~ spl1_14 ),
    inference(resolution,[],[f138,f177]) ).

fof(f177,plain,
    ( ! [X0,X1] : is_a_theorem(implies(and(X1,X0),X1))
    | ~ spl1_14 ),
    inference(avatar_component_clause,[],[f176]) ).

fof(f176,plain,
    ( spl1_14
  <=> ! [X0,X1] : is_a_theorem(implies(and(X1,X0),X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_14])]) ).

fof(f895,plain,
    ( ! [X17] : is_a_theorem(equiv(X17,X17))
    | ~ spl1_1
    | ~ spl1_4
    | ~ spl1_5
    | ~ spl1_10
    | ~ spl1_12
    | ~ spl1_14
    | ~ spl1_17 ),
    inference(forward_demodulation,[],[f890,f160]) ).

fof(f890,plain,
    ( ! [X17] : is_a_theorem(and(implies(X17,X17),implies(X17,X17)))
    | ~ spl1_1
    | ~ spl1_4
    | ~ spl1_5
    | ~ spl1_12
    | ~ spl1_14
    | ~ spl1_17 ),
    inference(resolution,[],[f844,f800]) ).

fof(f800,plain,
    ( ! [X1] :
        ( ~ is_a_theorem(or(X1,X1))
        | is_a_theorem(and(X1,X1)) )
    | ~ spl1_1
    | ~ spl1_4
    | ~ spl1_5
    | ~ spl1_12
    | ~ spl1_14
    | ~ spl1_17 ),
    inference(resolution,[],[f787,f138]) ).

fof(f787,plain,
    ( ! [X0] : is_a_theorem(implies(or(X0,X0),and(X0,X0)))
    | ~ spl1_1
    | ~ spl1_4
    | ~ spl1_5
    | ~ spl1_12
    | ~ spl1_14
    | ~ spl1_17 ),
    inference(forward_demodulation,[],[f786,f213]) ).

fof(f786,plain,
    ( ! [X0] : is_a_theorem(implies(implies(not(X0),X0),and(X0,X0)))
    | ~ spl1_1
    | ~ spl1_4
    | ~ spl1_5
    | ~ spl1_12
    | ~ spl1_14
    | ~ spl1_17 ),
    inference(forward_demodulation,[],[f763,f217]) ).

fof(f763,plain,
    ( ! [X0] : is_a_theorem(or(and(not(X0),not(X0)),and(X0,X0)))
    | ~ spl1_1
    | ~ spl1_4
    | ~ spl1_5
    | ~ spl1_12
    | ~ spl1_14
    | ~ spl1_17 ),
    inference(resolution,[],[f706,f221]) ).

fof(f706,plain,
    ( ! [X2,X3] :
        ( ~ is_a_theorem(or(X3,X2))
        | is_a_theorem(or(X2,and(X3,X3))) )
    | ~ spl1_1
    | ~ spl1_4
    | ~ spl1_5
    | ~ spl1_12
    | ~ spl1_14
    | ~ spl1_17 ),
    inference(resolution,[],[f436,f138]) ).

fof(f436,plain,
    ( ! [X0,X1] : is_a_theorem(implies(or(X0,X1),or(X1,and(X0,X0))))
    | ~ spl1_1
    | ~ spl1_4
    | ~ spl1_5
    | ~ spl1_12
    | ~ spl1_14
    | ~ spl1_17 ),
    inference(forward_demodulation,[],[f425,f213]) ).

fof(f425,plain,
    ( ! [X0,X1] : is_a_theorem(implies(implies(not(X0),X1),or(X1,and(X0,X0))))
    | ~ spl1_1
    | ~ spl1_4
    | ~ spl1_5
    | ~ spl1_12
    | ~ spl1_14
    | ~ spl1_17 ),
    inference(resolution,[],[f413,f337]) ).

fof(f413,plain,
    ( ! [X0] : is_a_theorem(or(and(X0,X0),not(X0)))
    | ~ spl1_1
    | ~ spl1_4
    | ~ spl1_5
    | ~ spl1_12
    | ~ spl1_14
    | ~ spl1_17 ),
    inference(resolution,[],[f383,f134]) ).

fof(f383,plain,
    ( ! [X0,X1] :
        ( ~ is_a_theorem(implies(X1,X0))
        | is_a_theorem(or(X0,not(X1))) )
    | ~ spl1_1
    | ~ spl1_4
    | ~ spl1_5
    | ~ spl1_12
    | ~ spl1_14
    | ~ spl1_17 ),
    inference(resolution,[],[f373,f138]) ).

fof(f373,plain,
    ( ! [X0,X1] : is_a_theorem(implies(implies(X0,X1),or(X1,not(X0))))
    | ~ spl1_1
    | ~ spl1_4
    | ~ spl1_5
    | ~ spl1_12
    | ~ spl1_14
    | ~ spl1_17 ),
    inference(resolution,[],[f368,f337]) ).

fof(f368,plain,
    ( ! [X0] : is_a_theorem(or(not(X0),X0))
    | ~ spl1_1
    | ~ spl1_4
    | ~ spl1_5
    | ~ spl1_12
    | ~ spl1_14
    | ~ spl1_17 ),
    inference(resolution,[],[f361,f177]) ).

fof(f844,plain,
    ( ! [X6,X4,X5] : is_a_theorem(or(implies(X4,X5),implies(X5,X6)))
    | ~ spl1_1
    | ~ spl1_4
    | ~ spl1_5
    | ~ spl1_12
    | ~ spl1_14
    | ~ spl1_17 ),
    inference(resolution,[],[f714,f449]) ).

fof(f449,plain,
    ( ! [X3,X4,X5] : is_a_theorem(or(and(implies(X3,X4),X5),implies(X5,X3)))
    | ~ spl1_1
    | ~ spl1_4
    | ~ spl1_5
    | ~ spl1_12
    | ~ spl1_14
    | ~ spl1_17 ),
    inference(resolution,[],[f442,f326]) ).

fof(f326,plain,
    ( ! [X2,X0,X1] :
        ( ~ is_a_theorem(or(X2,X0))
        | is_a_theorem(or(and(X0,X1),implies(X1,X2))) )
    | ~ spl1_1
    | ~ spl1_5
    | ~ spl1_12
    | ~ spl1_17 ),
    inference(resolution,[],[f322,f138]) ).

fof(f322,plain,
    ( ! [X2,X0,X1] : is_a_theorem(implies(or(X1,X2),or(and(X2,X0),implies(X0,X1))))
    | ~ spl1_1
    | ~ spl1_12
    | ~ spl1_17 ),
    inference(forward_demodulation,[],[f317,f213]) ).

fof(f317,plain,
    ( ! [X2,X0,X1] : is_a_theorem(implies(implies(not(X1),X2),or(and(X2,X0),implies(X0,X1))))
    | ~ spl1_1
    | ~ spl1_12
    | ~ spl1_17 ),
    inference(superposition,[],[f311,f190]) ).

fof(f442,plain,
    ( ! [X0,X1] : is_a_theorem(or(X0,implies(X0,X1)))
    | ~ spl1_1
    | ~ spl1_4
    | ~ spl1_5
    | ~ spl1_12
    | ~ spl1_14
    | ~ spl1_17 ),
    inference(superposition,[],[f420,f190]) ).

fof(f420,plain,
    ( ! [X14,X13] : is_a_theorem(or(X13,not(and(X13,X14))))
    | ~ spl1_1
    | ~ spl1_4
    | ~ spl1_5
    | ~ spl1_12
    | ~ spl1_14
    | ~ spl1_17 ),
    inference(resolution,[],[f383,f177]) ).

fof(f714,plain,
    ( ! [X3,X4,X5] :
        ( ~ is_a_theorem(or(and(X4,X5),X3))
        | is_a_theorem(or(X3,X4)) )
    | ~ spl1_1
    | ~ spl1_4
    | ~ spl1_5
    | ~ spl1_12
    | ~ spl1_14
    | ~ spl1_17 ),
    inference(resolution,[],[f447,f138]) ).

fof(f447,plain,
    ( ! [X2,X0,X1] : is_a_theorem(implies(or(and(X0,X1),X2),or(X2,X0)))
    | ~ spl1_1
    | ~ spl1_4
    | ~ spl1_5
    | ~ spl1_12
    | ~ spl1_14
    | ~ spl1_17 ),
    inference(forward_demodulation,[],[f437,f213]) ).

fof(f437,plain,
    ( ! [X2,X0,X1] : is_a_theorem(implies(implies(not(and(X0,X1)),X2),or(X2,X0)))
    | ~ spl1_1
    | ~ spl1_4
    | ~ spl1_5
    | ~ spl1_12
    | ~ spl1_14
    | ~ spl1_17 ),
    inference(resolution,[],[f420,f337]) ).

fof(f203,plain,
    ~ spl1_13,
    inference(avatar_split_clause,[],[f118,f172]) ).

fof(f172,plain,
    ( spl1_13
  <=> kn2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_13])]) ).

fof(f118,plain,
    ~ kn2,
    inference(consistent_polarity_flipping,[],[f105]) ).

fof(f105,plain,
    kn2,
    inference(cnf_transformation,[],[f37]) ).

fof(f37,axiom,
    kn2,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rosser_kn2) ).

fof(f201,plain,
    ~ spl1_9,
    inference(avatar_split_clause,[],[f112,f155]) ).

fof(f155,plain,
    ( spl1_9
  <=> op_equiv ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_9])]) ).

fof(f112,plain,
    ~ op_equiv,
    inference(consistent_polarity_flipping,[],[f96]) ).

fof(f96,plain,
    op_equiv,
    inference(cnf_transformation,[],[f42]) ).

fof(f42,axiom,
    op_equiv,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',luka_op_equiv) ).

fof(f200,plain,
    ~ spl1_18,
    inference(avatar_split_clause,[],[f109,f192]) ).

fof(f192,plain,
    ( spl1_18
  <=> op_implies_and ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_18])]) ).

fof(f109,plain,
    ~ op_implies_and,
    inference(consistent_polarity_flipping,[],[f91]) ).

fof(f91,plain,
    op_implies_and,
    inference(cnf_transformation,[],[f33]) ).

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

fof(f199,plain,
    spl1_6,
    inference(avatar_split_clause,[],[f97,f140]) ).

fof(f140,plain,
    ( spl1_6
  <=> modus_ponens ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_6])]) ).

fof(f97,plain,
    modus_ponens,
    inference(cnf_transformation,[],[f35]) ).

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

fof(f198,plain,
    ~ spl1_15,
    inference(avatar_split_clause,[],[f94,f180]) ).

fof(f180,plain,
    ( spl1_15
  <=> cn3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_15])]) ).

fof(f94,plain,
    ~ cn3,
    inference(cnf_transformation,[],[f49]) ).

fof(f49,plain,
    ~ cn3,
    inference(flattening,[],[f44]) ).

fof(f44,negated_conjecture,
    ~ cn3,
    inference(negated_conjecture,[],[f43]) ).

fof(f43,conjecture,
    cn3,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',luka_cn3) ).

fof(f197,plain,
    spl1_11,
    inference(avatar_split_clause,[],[f101,f163]) ).

fof(f163,plain,
    ( spl1_11
  <=> kn3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_11])]) ).

fof(f101,plain,
    kn3,
    inference(cnf_transformation,[],[f38]) ).

fof(f38,axiom,
    kn3,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rosser_kn3) ).

fof(f195,plain,
    ( spl1_17
    | spl1_18 ),
    inference(avatar_split_clause,[],[f111,f192,f189]) ).

fof(f111,plain,
    ! [X0,X1] :
      ( op_implies_and
      | implies(X1,X0) = not(and(X1,not(X0))) ),
    inference(consistent_polarity_flipping,[],[f92]) ).

fof(f92,plain,
    ! [X0,X1] :
      ( implies(X1,X0) = not(and(X1,not(X0)))
      | ~ op_implies_and ),
    inference(cnf_transformation,[],[f85]) ).

fof(f85,plain,
    ( ! [X0,X1] : implies(X1,X0) = not(and(X1,not(X0)))
    | ~ op_implies_and ),
    inference(rectify,[],[f81]) ).

fof(f81,plain,
    ( ! [X1,X0] : implies(X0,X1) = not(and(X0,not(X1)))
    | ~ op_implies_and ),
    inference(ennf_transformation,[],[f29]) ).

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

fof(f187,plain,
    ( spl1_15
    | ~ spl1_16 ),
    inference(avatar_split_clause,[],[f108,f184,f180]) ).

fof(f108,plain,
    ( ~ is_a_theorem(implies(implies(not(sK0),sK0),sK0))
    | cn3 ),
    inference(cnf_transformation,[],[f88]) ).

fof(f88,plain,
    ( cn3
    | ~ is_a_theorem(implies(implies(not(sK0),sK0),sK0)) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f80,f87]) ).

fof(f87,plain,
    ( ? [X0] : ~ is_a_theorem(implies(implies(not(X0),X0),X0))
   => ~ is_a_theorem(implies(implies(not(sK0),sK0),sK0)) ),
    introduced(choice_axiom,[]) ).

fof(f80,plain,
    ( cn3
    | ? [X0] : ~ is_a_theorem(implies(implies(not(X0),X0),X0)) ),
    inference(ennf_transformation,[],[f65]) ).

fof(f65,plain,
    ( ! [X0] : is_a_theorem(implies(implies(not(X0),X0),X0))
   => cn3 ),
    inference(unused_predicate_definition_removal,[],[f62]) ).

fof(f62,plain,
    ( cn3
  <=> ! [X0] : is_a_theorem(implies(implies(not(X0),X0),X0)) ),
    inference(rectify,[],[f21]) ).

fof(f21,axiom,
    ( cn3
  <=> ! [X3] : is_a_theorem(implies(implies(not(X3),X3),X3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn3) ).

fof(f178,plain,
    ( spl1_13
    | spl1_14 ),
    inference(avatar_split_clause,[],[f113,f176,f172]) ).

fof(f113,plain,
    ! [X0,X1] :
      ( is_a_theorem(implies(and(X1,X0),X1))
      | kn2 ),
    inference(consistent_polarity_flipping,[],[f103]) ).

fof(f103,plain,
    ! [X0,X1] :
      ( ~ kn2
      | is_a_theorem(implies(and(X1,X0),X1)) ),
    inference(cnf_transformation,[],[f83]) ).

fof(f83,plain,
    ( ~ kn2
    | ! [X0,X1] : is_a_theorem(implies(and(X1,X0),X1)) ),
    inference(ennf_transformation,[],[f67]) ).

fof(f67,plain,
    ( kn2
   => ! [X0,X1] : is_a_theorem(implies(and(X1,X0),X1)) ),
    inference(unused_predicate_definition_removal,[],[f53]) ).

fof(f53,plain,
    ( ! [X0,X1] : is_a_theorem(implies(and(X1,X0),X1))
  <=> kn2 ),
    inference(rectify,[],[f17]) ).

fof(f17,axiom,
    ( kn2
  <=> ! [X4,X3] : is_a_theorem(implies(and(X3,X4),X3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',kn2) ).

fof(f170,plain,
    ~ spl1_3,
    inference(avatar_split_clause,[],[f116,f129]) ).

fof(f129,plain,
    ( spl1_3
  <=> kn1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_3])]) ).

fof(f116,plain,
    ~ kn1,
    inference(consistent_polarity_flipping,[],[f104]) ).

fof(f104,plain,
    kn1,
    inference(cnf_transformation,[],[f36]) ).

fof(f36,axiom,
    kn1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rosser_kn1) ).

fof(f169,plain,
    ( ~ spl1_11
    | spl1_12 ),
    inference(avatar_split_clause,[],[f99,f167,f163]) ).

fof(f99,plain,
    ! [X2,X0,X1] :
      ( is_a_theorem(implies(implies(X2,X1),implies(not(and(X1,X0)),not(and(X0,X2)))))
      | ~ kn3 ),
    inference(cnf_transformation,[],[f86]) ).

fof(f86,plain,
    ( ! [X0,X1,X2] : is_a_theorem(implies(implies(X2,X1),implies(not(and(X1,X0)),not(and(X0,X2)))))
    | ~ kn3 ),
    inference(rectify,[],[f78]) ).

fof(f78,plain,
    ( ! [X0,X2,X1] : is_a_theorem(implies(implies(X1,X2),implies(not(and(X2,X0)),not(and(X0,X1)))))
    | ~ kn3 ),
    inference(ennf_transformation,[],[f66]) ).

fof(f66,plain,
    ( kn3
   => ! [X0,X2,X1] : is_a_theorem(implies(implies(X1,X2),implies(not(and(X2,X0)),not(and(X0,X1))))) ),
    inference(unused_predicate_definition_removal,[],[f55]) ).

fof(f55,plain,
    ( kn3
  <=> ! [X0,X2,X1] : is_a_theorem(implies(implies(X1,X2),implies(not(and(X2,X0)),not(and(X0,X1))))) ),
    inference(rectify,[],[f18]) ).

fof(f18,axiom,
    ( kn3
  <=> ! [X5,X3,X4] : is_a_theorem(implies(implies(X3,X4),implies(not(and(X4,X5)),not(and(X5,X3))))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',kn3) ).

fof(f161,plain,
    ( spl1_9
    | spl1_10 ),
    inference(avatar_split_clause,[],[f119,f159,f155]) ).

fof(f119,plain,
    ! [X0,X1] :
      ( equiv(X0,X1) = and(implies(X0,X1),implies(X1,X0))
      | op_equiv ),
    inference(consistent_polarity_flipping,[],[f102]) ).

fof(f102,plain,
    ! [X0,X1] :
      ( equiv(X0,X1) = and(implies(X0,X1),implies(X1,X0))
      | ~ op_equiv ),
    inference(cnf_transformation,[],[f82]) ).

fof(f82,plain,
    ( ! [X0,X1] : equiv(X0,X1) = and(implies(X0,X1),implies(X1,X0))
    | ~ op_equiv ),
    inference(ennf_transformation,[],[f31]) ).

fof(f31,axiom,
    ( op_equiv
   => ! [X0,X1] : equiv(X0,X1) = and(implies(X0,X1),implies(X1,X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',op_equiv) ).

fof(f153,plain,
    spl1_2,
    inference(avatar_split_clause,[],[f106,f124]) ).

fof(f124,plain,
    ( spl1_2
  <=> op_or ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_2])]) ).

fof(f106,plain,
    op_or,
    inference(cnf_transformation,[],[f32]) ).

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

fof(f143,plain,
    ( spl1_5
    | ~ spl1_6 ),
    inference(avatar_split_clause,[],[f93,f140,f137]) ).

fof(f93,plain,
    ! [X0,X1] :
      ( ~ modus_ponens
      | is_a_theorem(X1)
      | ~ is_a_theorem(X0)
      | ~ is_a_theorem(implies(X0,X1)) ),
    inference(cnf_transformation,[],[f76]) ).

fof(f76,plain,
    ( ! [X0,X1] :
        ( ~ is_a_theorem(implies(X0,X1))
        | ~ is_a_theorem(X0)
        | is_a_theorem(X1) )
    | ~ modus_ponens ),
    inference(flattening,[],[f75]) ).

fof(f75,plain,
    ( ! [X1,X0] :
        ( is_a_theorem(X1)
        | ~ is_a_theorem(implies(X0,X1))
        | ~ is_a_theorem(X0) )
    | ~ modus_ponens ),
    inference(ennf_transformation,[],[f70]) ).

fof(f70,plain,
    ( modus_ponens
   => ! [X1,X0] :
        ( ( is_a_theorem(implies(X0,X1))
          & is_a_theorem(X0) )
       => is_a_theorem(X1) ) ),
    inference(unused_predicate_definition_removal,[],[f1]) ).

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

fof(f135,plain,
    ( spl1_3
    | spl1_4 ),
    inference(avatar_split_clause,[],[f110,f133,f129]) ).

fof(f110,plain,
    ! [X0] :
      ( is_a_theorem(implies(X0,and(X0,X0)))
      | kn1 ),
    inference(consistent_polarity_flipping,[],[f98]) ).

fof(f98,plain,
    ! [X0] :
      ( is_a_theorem(implies(X0,and(X0,X0)))
      | ~ kn1 ),
    inference(cnf_transformation,[],[f74]) ).

fof(f74,plain,
    ( ! [X0] : is_a_theorem(implies(X0,and(X0,X0)))
    | ~ kn1 ),
    inference(ennf_transformation,[],[f68]) ).

fof(f68,plain,
    ( kn1
   => ! [X0] : is_a_theorem(implies(X0,and(X0,X0))) ),
    inference(unused_predicate_definition_removal,[],[f50]) ).

fof(f50,plain,
    ( kn1
  <=> ! [X0] : is_a_theorem(implies(X0,and(X0,X0))) ),
    inference(rectify,[],[f16]) ).

fof(f16,axiom,
    ( kn1
  <=> ! [X3] : is_a_theorem(implies(X3,and(X3,X3))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',kn1) ).

fof(f127,plain,
    ( spl1_1
    | ~ spl1_2 ),
    inference(avatar_split_clause,[],[f95,f124,f121]) ).

fof(f95,plain,
    ! [X0,X1] :
      ( ~ op_or
      | or(X0,X1) = not(and(not(X0),not(X1))) ),
    inference(cnf_transformation,[],[f77]) ).

fof(f77,plain,
    ( ~ op_or
    | ! [X0,X1] : or(X0,X1) = not(and(not(X0),not(X1))) ),
    inference(ennf_transformation,[],[f27]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem    : LCL517+1 : TPTP v8.1.0. Released v3.3.0.
% 0.04/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.34  % Computer : n012.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Tue Aug 30 02:05:36 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.20/0.49  % (32536)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.51  % (32545)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.51  % (32534)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)
% 0.20/0.51  % (32532)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)
% 0.20/0.51  % (32524)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)
% 0.20/0.52  % (32535)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.53  % (32527)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53  % (32539)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)
% 0.20/0.53  % (32528)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)
% 0.20/0.53  % (32533)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.53  % (32531)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.53  % (32531)Instruction limit reached!
% 0.20/0.53  % (32531)------------------------------
% 0.20/0.53  % (32531)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (32531)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (32531)Termination reason: Unknown
% 0.20/0.53  % (32531)Termination phase: Blocked clause elimination
% 0.20/0.53  
% 0.20/0.53  % (32531)Memory used [KB]: 895
% 0.20/0.53  % (32531)Time elapsed: 0.002 s
% 0.20/0.53  % (32531)Instructions burned: 2 (million)
% 0.20/0.53  % (32531)------------------------------
% 0.20/0.53  % (32531)------------------------------
% 0.20/0.53  % (32537)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)
% 0.20/0.53  % (32553)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)
% 1.46/0.54  % (32552)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.46/0.54  % (32550)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)
% 1.46/0.54  % (32551)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)
% 1.46/0.54  % (32538)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)
% 1.46/0.54  % (32525)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)
% 1.46/0.54  % (32526)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)
% 1.46/0.54  % (32529)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)
% 1.46/0.55  % (32542)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)
% 1.53/0.55  TRYING [1]
% 1.53/0.55  TRYING [2]
% 1.53/0.55  % (32544)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)
% 1.53/0.55  % (32523)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)
% 1.53/0.55  % (32548)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.53/0.55  % (32530)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.53/0.55  % (32546)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 1.53/0.55  % (32549)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.53/0.55  TRYING [1]
% 1.53/0.55  TRYING [2]
% 1.53/0.55  % (32540)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.53/0.55  % (32541)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.53/0.55  TRYING [1]
% 1.53/0.55  TRYING [2]
% 1.53/0.56  TRYING [3]
% 1.53/0.56  % (32547)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)
% 1.53/0.56  % (32530)Instruction limit reached!
% 1.53/0.56  % (32530)------------------------------
% 1.53/0.56  % (32530)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.53/0.56  % (32530)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.53/0.56  % (32530)Termination reason: Unknown
% 1.53/0.56  % (32530)Termination phase: Saturation
% 1.53/0.56  
% 1.53/0.56  % (32530)Memory used [KB]: 5628
% 1.53/0.56  % (32530)Time elapsed: 0.148 s
% 1.53/0.56  % (32530)Instructions burned: 7 (million)
% 1.53/0.56  % (32530)------------------------------
% 1.53/0.56  % (32530)------------------------------
% 1.53/0.57  TRYING [3]
% 1.53/0.58  TRYING [3]
% 1.53/0.58  TRYING [4]
% 1.53/0.58  TRYING [4]
% 1.53/0.59  TRYING [4]
% 1.53/0.60  % (32525)Instruction limit reached!
% 1.53/0.60  % (32525)------------------------------
% 1.53/0.60  % (32525)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.53/0.60  % (32525)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.53/0.60  % (32525)Termination reason: Unknown
% 1.53/0.60  % (32525)Termination phase: Saturation
% 1.53/0.60  
% 1.53/0.60  % (32525)Memory used [KB]: 1791
% 1.53/0.60  % (32525)Time elapsed: 0.199 s
% 1.53/0.60  % (32525)Instructions burned: 38 (million)
% 1.53/0.60  % (32525)------------------------------
% 1.53/0.60  % (32525)------------------------------
% 1.53/0.61  % (32532)Instruction limit reached!
% 1.53/0.61  % (32532)------------------------------
% 1.53/0.61  % (32532)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.53/0.61  % (32532)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.53/0.61  % (32532)Termination reason: Unknown
% 1.53/0.61  % (32532)Termination phase: Saturation
% 1.53/0.61  
% 1.53/0.61  % (32532)Memory used [KB]: 2174
% 1.53/0.61  % (32532)Time elapsed: 0.198 s
% 1.53/0.61  % (32532)Instructions burned: 52 (million)
% 1.53/0.61  % (32532)------------------------------
% 1.53/0.61  % (32532)------------------------------
% 1.53/0.62  % (32538)Instruction limit reached!
% 1.53/0.62  % (32538)------------------------------
% 1.53/0.62  % (32538)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.53/0.62  % (32533)Instruction limit reached!
% 1.53/0.62  % (32533)------------------------------
% 1.53/0.62  % (32533)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.53/0.62  % (32533)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.53/0.62  % (32533)Termination reason: Unknown
% 1.53/0.62  % (32533)Termination phase: Saturation
% 1.53/0.62  
% 1.53/0.62  % (32533)Memory used [KB]: 6652
% 1.53/0.62  % (32533)Time elapsed: 0.195 s
% 1.53/0.62  % (32533)Instructions burned: 50 (million)
% 1.53/0.62  % (32533)------------------------------
% 1.53/0.62  % (32533)------------------------------
% 1.53/0.62  % (32538)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.53/0.62  % (32538)Termination reason: Unknown
% 1.53/0.62  % (32538)Termination phase: Saturation
% 1.53/0.62  
% 1.53/0.62  % (32538)Memory used [KB]: 2814
% 1.53/0.62  % (32538)Time elapsed: 0.215 s
% 1.53/0.62  % (32538)Instructions burned: 75 (million)
% 1.53/0.62  % (32538)------------------------------
% 1.53/0.62  % (32538)------------------------------
% 1.53/0.62  % (32524)Instruction limit reached!
% 1.53/0.62  % (32524)------------------------------
% 1.53/0.62  % (32524)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.53/0.62  % (32524)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.53/0.62  % (32524)Termination reason: Unknown
% 1.53/0.62  % (32524)Termination phase: Saturation
% 1.53/0.62  
% 1.53/0.62  % (32524)Memory used [KB]: 6652
% 1.53/0.62  % (32524)Time elapsed: 0.214 s
% 1.53/0.62  % (32524)Instructions burned: 50 (million)
% 1.53/0.62  % (32524)------------------------------
% 1.53/0.62  % (32524)------------------------------
% 1.53/0.62  % (32527)Instruction limit reached!
% 1.53/0.62  % (32527)------------------------------
% 1.53/0.62  % (32527)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.53/0.62  % (32527)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.53/0.62  % (32527)Termination reason: Unknown
% 1.53/0.62  % (32527)Termination phase: Saturation
% 1.53/0.62  
% 1.53/0.62  % (32527)Memory used [KB]: 6652
% 1.53/0.62  % (32527)Time elapsed: 0.218 s
% 1.53/0.62  % (32527)Instructions burned: 51 (million)
% 1.53/0.62  % (32527)------------------------------
% 1.53/0.62  % (32527)------------------------------
% 1.53/0.62  % (32540)Instruction limit reached!
% 1.53/0.62  % (32540)------------------------------
% 1.53/0.62  % (32540)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.53/0.62  % (32540)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.53/0.62  % (32540)Termination reason: Unknown
% 1.53/0.62  % (32540)Termination phase: Finite model building SAT solving
% 1.53/0.62  
% 1.53/0.62  % (32540)Memory used [KB]: 7164
% 1.53/0.62  % (32540)Time elapsed: 0.191 s
% 1.53/0.62  % (32540)Instructions burned: 60 (million)
% 1.53/0.62  % (32540)------------------------------
% 1.53/0.62  % (32540)------------------------------
% 1.53/0.62  % (32529)Instruction limit reached!
% 1.53/0.62  % (32529)------------------------------
% 1.53/0.62  % (32529)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.14/0.63  % (32526)Instruction limit reached!
% 2.14/0.63  % (32526)------------------------------
% 2.14/0.63  % (32526)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.14/0.63  % (32529)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.14/0.63  % (32529)Termination reason: Unknown
% 2.14/0.63  % (32529)Termination phase: Finite model building SAT solving
% 2.14/0.63  
% 2.14/0.63  % (32529)Memory used [KB]: 7036
% 2.14/0.63  % (32529)Time elapsed: 0.160 s
% 2.14/0.63  % (32529)Instructions burned: 51 (million)
% 2.14/0.63  % (32529)------------------------------
% 2.14/0.63  % (32529)------------------------------
% 2.14/0.64  % (32528)Instruction limit reached!
% 2.14/0.64  % (32528)------------------------------
% 2.14/0.64  % (32528)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.14/0.64  % (32528)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.14/0.64  % (32528)Termination reason: Unknown
% 2.14/0.64  % (32528)Termination phase: Saturation
% 2.14/0.64  
% 2.14/0.64  % (32528)Memory used [KB]: 6268
% 2.14/0.64  % (32528)Time elapsed: 0.236 s
% 2.14/0.64  % (32528)Instructions burned: 49 (million)
% 2.14/0.64  % (32528)------------------------------
% 2.14/0.64  % (32528)------------------------------
% 2.14/0.64  % (32526)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.14/0.64  % (32526)Termination reason: Unknown
% 2.14/0.64  % (32526)Termination phase: Saturation
% 2.14/0.64  
% 2.14/0.64  % (32526)Memory used [KB]: 6652
% 2.14/0.64  % (32526)Time elapsed: 0.228 s
% 2.14/0.64  % (32526)Instructions burned: 52 (million)
% 2.14/0.64  % (32526)------------------------------
% 2.14/0.64  % (32526)------------------------------
% 2.14/0.65  % (32555)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=211:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/211Mi)
% 2.14/0.66  % (32550)Instruction limit reached!
% 2.14/0.66  % (32550)------------------------------
% 2.14/0.66  % (32550)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.14/0.66  % (32550)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.14/0.66  % (32550)Termination reason: Unknown
% 2.14/0.66  % (32550)Termination phase: Saturation
% 2.14/0.66  
% 2.14/0.66  % (32550)Memory used [KB]: 7036
% 2.14/0.66  % (32550)Time elapsed: 0.035 s
% 2.14/0.66  % (32550)Instructions burned: 70 (million)
% 2.14/0.66  % (32550)------------------------------
% 2.14/0.66  % (32550)------------------------------
% 2.14/0.66  % (32537)Instruction limit reached!
% 2.14/0.66  % (32537)------------------------------
% 2.14/0.66  % (32537)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.14/0.66  % (32537)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.14/0.66  % (32537)Termination reason: Unknown
% 2.14/0.66  % (32537)Termination phase: Saturation
% 2.14/0.66  
% 2.14/0.66  % (32537)Memory used [KB]: 7036
% 2.14/0.66  % (32537)Time elapsed: 0.036 s
% 2.14/0.66  % (32537)Instructions burned: 68 (million)
% 2.14/0.66  % (32537)------------------------------
% 2.14/0.66  % (32537)------------------------------
% 2.42/0.68  TRYING [5]
% 2.42/0.69  % (32536)Instruction limit reached!
% 2.42/0.69  % (32536)------------------------------
% 2.42/0.69  % (32536)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.42/0.69  % (32536)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.42/0.69  % (32536)Termination reason: Unknown
% 2.42/0.69  % (32536)Termination phase: Saturation
% 2.42/0.69  
% 2.42/0.69  % (32536)Memory used [KB]: 7164
% 2.42/0.69  % (32536)Time elapsed: 0.263 s
% 2.42/0.69  % (32536)Instructions burned: 99 (million)
% 2.42/0.69  % (32536)------------------------------
% 2.42/0.69  % (32536)------------------------------
% 2.42/0.71  % (32535)Instruction limit reached!
% 2.42/0.71  % (32535)------------------------------
% 2.42/0.71  % (32535)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.42/0.71  % (32535)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.42/0.71  % (32535)Termination reason: Unknown
% 2.42/0.71  % (32535)Termination phase: Saturation
% 2.42/0.71  
% 2.42/0.71  % (32535)Memory used [KB]: 6908
% 2.42/0.71  % (32535)Time elapsed: 0.299 s
% 2.42/0.71  % (32535)Instructions burned: 101 (million)
% 2.42/0.71  % (32535)------------------------------
% 2.42/0.71  % (32535)------------------------------
% 2.42/0.71  % (32554)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/388Mi)
% 2.42/0.72  % (32534)Instruction limit reached!
% 2.42/0.72  % (32534)------------------------------
% 2.42/0.72  % (32534)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.42/0.72  % (32534)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.42/0.72  % (32534)Termination reason: Unknown
% 2.42/0.72  % (32534)Termination phase: Saturation
% 2.42/0.72  
% 2.42/0.72  % (32534)Memory used [KB]: 7419
% 2.42/0.72  % (32534)Time elapsed: 0.294 s
% 2.42/0.72  % (32534)Instructions burned: 100 (million)
% 2.42/0.72  % (32534)------------------------------
% 2.42/0.72  % (32534)------------------------------
% 2.42/0.73  % (32542)Instruction limit reached!
% 2.42/0.73  % (32542)------------------------------
% 2.42/0.73  % (32542)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.42/0.73  % (32542)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.42/0.73  % (32542)Termination reason: Unknown
% 2.42/0.73  % (32542)Termination phase: Saturation
% 2.42/0.73  
% 2.42/0.73  % (32542)Memory used [KB]: 2430
% 2.42/0.73  % (32542)Time elapsed: 0.318 s
% 2.42/0.73  % (32542)Instructions burned: 102 (million)
% 2.42/0.73  % (32542)------------------------------
% 2.42/0.73  % (32542)------------------------------
% 2.42/0.73  % (32539)Instruction limit reached!
% 2.42/0.73  % (32539)------------------------------
% 2.42/0.73  % (32539)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.42/0.73  % (32539)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.42/0.73  % (32539)Termination reason: Unknown
% 2.42/0.73  % (32539)Termination phase: Saturation
% 2.42/0.73  
% 2.42/0.73  % (32539)Memory used [KB]: 6780
% 2.42/0.73  % (32539)Time elapsed: 0.330 s
% 2.42/0.73  % (32539)Instructions burned: 100 (million)
% 2.42/0.73  % (32539)------------------------------
% 2.42/0.73  % (32539)------------------------------
% 2.42/0.74  % (32556)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/90Mi)
% 2.42/0.74  % (32541)Instruction limit reached!
% 2.42/0.74  % (32541)------------------------------
% 2.42/0.74  % (32541)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.42/0.74  % (32541)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.42/0.74  % (32541)Termination reason: Unknown
% 2.42/0.74  % (32541)Termination phase: Saturation
% 2.42/0.74  
% 2.42/0.74  % (32541)Memory used [KB]: 7547
% 2.42/0.74  % (32541)Time elapsed: 0.339 s
% 2.42/0.74  % (32541)Instructions burned: 100 (million)
% 2.42/0.74  % (32541)------------------------------
% 2.42/0.74  % (32541)------------------------------
% 2.75/0.75  % (32561)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 (2997ds/68Mi)
% 2.75/0.75  % (32557)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/920Mi)
% 2.75/0.75  % (32559)ott+10_1:50_bsr=unit_only:drc=off:fd=preordered:sp=frequency:i=747:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/747Mi)
% 2.75/0.75  % (32558)ott+1_1:7_bd=off:i=934:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/934Mi)
% 2.75/0.75  % (32560)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=655:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/655Mi)
% 2.75/0.75  % (32562)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=940:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/940Mi)
% 2.75/0.75  % (32545)Instruction limit reached!
% 2.75/0.75  % (32545)------------------------------
% 2.75/0.75  % (32545)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.75/0.75  % (32545)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.75/0.75  % (32545)Termination reason: Unknown
% 2.75/0.75  % (32545)Termination phase: Saturation
% 2.75/0.75  
% 2.75/0.75  % (32545)Memory used [KB]: 8443
% 2.75/0.75  % (32545)Time elapsed: 0.343 s
% 2.75/0.75  % (32545)Instructions burned: 138 (million)
% 2.75/0.76  % (32545)------------------------------
% 2.75/0.76  % (32545)------------------------------
% 2.75/0.76  WARNING Broken Constraint: if sine_depth(2) has been set then sine_selection(off) is not equal to off
% 2.75/0.76  % (32563)ott+11_4:1_br=off:fde=none:s2a=on:sd=2:sp=frequency:urr=on:i=981:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/981Mi)
% 2.82/0.77  % (32565)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/2016Mi)
% 2.82/0.77  % (32564)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/90Mi)
% 2.82/0.80  % (32566)dis+10_1:2_atotf=0.3:i=3735:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/3735Mi)
% 2.82/0.80  % (32567)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=4958:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4958Mi)
% 2.82/0.81  % (32556)First to succeed.
% 2.82/0.81  % (32556)Refutation found. Thanks to Tanya!
% 2.82/0.81  % SZS status Theorem for theBenchmark
% 2.82/0.81  % SZS output start Proof for theBenchmark
% See solution above
% 2.82/0.81  % (32556)------------------------------
% 2.82/0.81  % (32556)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.82/0.81  % (32556)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.82/0.81  % (32556)Termination reason: Refutation
% 2.82/0.81  
% 2.82/0.81  % (32556)Memory used [KB]: 6268
% 2.82/0.81  % (32556)Time elapsed: 0.123 s
% 2.82/0.81  % (32556)Instructions burned: 41 (million)
% 2.82/0.81  % (32556)------------------------------
% 2.82/0.81  % (32556)------------------------------
% 2.82/0.81  % (32522)Success in time 0.453 s
%------------------------------------------------------------------------------