TSTP Solution File: SWV391+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWV391+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 : n004.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 18:56:41 EDT 2022

% Result   : Theorem 3.70s 1.07s
% Output   : Refutation 3.70s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   27
% Syntax   : Number of formulae    :  141 (  18 unt;   0 def)
%            Number of atoms       :  373 (  27 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  388 ( 156   ~; 148   |;  33   &)
%                                         (  23 <=>;  28  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   20 (  18 usr;  13 prp; 0-3 aty)
%            Number of functors    :   15 (  15 usr;   6 con; 0-3 aty)
%            Number of variables   :  331 ( 309   !;  22   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f3142,plain,
    $false,
    inference(avatar_sat_refutation,[],[f302,f306,f332,f1095,f1458,f1635,f1670,f1797,f1804,f2459,f2460,f2675,f3130]) ).

fof(f3130,plain,
    ( ~ spl6_1
    | ~ spl6_26 ),
    inference(avatar_contradiction_clause,[],[f3117]) ).

fof(f3117,plain,
    ( $false
    | ~ spl6_1
    | ~ spl6_26 ),
    inference(resolution,[],[f2081,f891]) ).

fof(f891,plain,
    ( ~ less_than(sK4(sK1),sK5(sK1))
    | ~ spl6_1 ),
    inference(resolution,[],[f781,f298]) ).

fof(f298,plain,
    ( ! [X8,X9] :
        ( ~ strictly_less_than(X9,X8)
        | ~ less_than(X8,X9) )
    | ~ spl6_1 ),
    inference(avatar_component_clause,[],[f297]) ).

fof(f297,plain,
    ( spl6_1
  <=> ! [X9,X8] :
        ( ~ strictly_less_than(X9,X8)
        | ~ less_than(X8,X9) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_1])]) ).

fof(f781,plain,
    strictly_less_than(sK5(sK1),sK4(sK1)),
    inference(resolution,[],[f260,f187]) ).

fof(f187,plain,
    ~ check_cpq(triple(sK3,sK1,sK0)),
    inference(cnf_transformation,[],[f140]) ).

fof(f140,plain,
    ( ok(remove_cpq(triple(sK3,sK1,sK0),sK2))
    & check_cpq(remove_cpq(triple(sK3,sK1,sK0),sK2))
    & ~ check_cpq(triple(sK3,sK1,sK0)) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f138,f139]) ).

fof(f139,plain,
    ( ? [X0,X1,X2,X3] :
        ( ok(remove_cpq(triple(X3,X1,X0),X2))
        & check_cpq(remove_cpq(triple(X3,X1,X0),X2))
        & ~ check_cpq(triple(X3,X1,X0)) )
   => ( ok(remove_cpq(triple(sK3,sK1,sK0),sK2))
      & check_cpq(remove_cpq(triple(sK3,sK1,sK0),sK2))
      & ~ check_cpq(triple(sK3,sK1,sK0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f138,plain,
    ? [X0,X1,X2,X3] :
      ( ok(remove_cpq(triple(X3,X1,X0),X2))
      & check_cpq(remove_cpq(triple(X3,X1,X0),X2))
      & ~ check_cpq(triple(X3,X1,X0)) ),
    inference(rectify,[],[f115]) ).

fof(f115,plain,
    ? [X2,X3,X1,X0] :
      ( ok(remove_cpq(triple(X0,X3,X2),X1))
      & check_cpq(remove_cpq(triple(X0,X3,X2),X1))
      & ~ check_cpq(triple(X0,X3,X2)) ),
    inference(flattening,[],[f114]) ).

fof(f114,plain,
    ? [X3,X0,X2,X1] :
      ( ~ check_cpq(triple(X0,X3,X2))
      & ok(remove_cpq(triple(X0,X3,X2),X1))
      & check_cpq(remove_cpq(triple(X0,X3,X2),X1)) ),
    inference(ennf_transformation,[],[f78]) ).

fof(f78,plain,
    ~ ! [X3,X0,X2,X1] :
        ( ( ok(remove_cpq(triple(X0,X3,X2),X1))
          & check_cpq(remove_cpq(triple(X0,X3,X2),X1)) )
       => check_cpq(triple(X0,X3,X2)) ),
    inference(rectify,[],[f47]) ).

fof(f47,negated_conjecture,
    ~ ! [X0,X3,X2,X1] :
        ( ( ok(remove_cpq(triple(X0,X1,X2),X3))
          & check_cpq(remove_cpq(triple(X0,X1,X2),X3)) )
       => check_cpq(triple(X0,X1,X2)) ),
    inference(negated_conjecture,[],[f46]) ).

fof(f46,conjecture,
    ! [X0,X3,X2,X1] :
      ( ( ok(remove_cpq(triple(X0,X1,X2),X3))
        & check_cpq(remove_cpq(triple(X0,X1,X2),X3)) )
     => check_cpq(triple(X0,X1,X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',l27_co) ).

fof(f260,plain,
    ! [X8,X9,X7] :
      ( check_cpq(triple(X8,X7,X9))
      | strictly_less_than(sK5(X7),sK4(X7)) ),
    inference(resolution,[],[f239,f192]) ).

fof(f192,plain,
    ! [X2,X0,X1] :
      ( ~ less_than(sK4(X1),sK5(X1))
      | check_cpq(triple(X0,X1,X2)) ),
    inference(cnf_transformation,[],[f144]) ).

fof(f144,plain,
    ! [X0,X1,X2] :
      ( ( ! [X3,X4] :
            ( ~ pair_in_list(X1,X4,X3)
            | less_than(X3,X4) )
        | ~ check_cpq(triple(X0,X1,X2)) )
      & ( check_cpq(triple(X0,X1,X2))
        | ( pair_in_list(X1,sK5(X1),sK4(X1))
          & ~ less_than(sK4(X1),sK5(X1)) ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5])],[f142,f143]) ).

fof(f143,plain,
    ! [X1] :
      ( ? [X5,X6] :
          ( pair_in_list(X1,X6,X5)
          & ~ less_than(X5,X6) )
     => ( pair_in_list(X1,sK5(X1),sK4(X1))
        & ~ less_than(sK4(X1),sK5(X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f142,plain,
    ! [X0,X1,X2] :
      ( ( ! [X3,X4] :
            ( ~ pair_in_list(X1,X4,X3)
            | less_than(X3,X4) )
        | ~ check_cpq(triple(X0,X1,X2)) )
      & ( check_cpq(triple(X0,X1,X2))
        | ? [X5,X6] :
            ( pair_in_list(X1,X6,X5)
            & ~ less_than(X5,X6) ) ) ),
    inference(rectify,[],[f141]) ).

fof(f141,plain,
    ! [X2,X1,X0] :
      ( ( ! [X3,X4] :
            ( ~ pair_in_list(X1,X4,X3)
            | less_than(X3,X4) )
        | ~ check_cpq(triple(X2,X1,X0)) )
      & ( check_cpq(triple(X2,X1,X0))
        | ? [X3,X4] :
            ( pair_in_list(X1,X4,X3)
            & ~ less_than(X3,X4) ) ) ),
    inference(nnf_transformation,[],[f88]) ).

fof(f88,plain,
    ! [X2,X1,X0] :
      ( ! [X3,X4] :
          ( ~ pair_in_list(X1,X4,X3)
          | less_than(X3,X4) )
    <=> check_cpq(triple(X2,X1,X0)) ),
    inference(ennf_transformation,[],[f56]) ).

fof(f56,plain,
    ! [X1,X0,X2] :
      ( ! [X4,X3] :
          ( pair_in_list(X1,X4,X3)
         => less_than(X3,X4) )
    <=> check_cpq(triple(X2,X1,X0)) ),
    inference(rectify,[],[f42]) ).

fof(f42,axiom,
    ! [X2,X1,X0] :
      ( ! [X4,X3] :
          ( pair_in_list(X1,X3,X4)
         => less_than(X4,X3) )
    <=> check_cpq(triple(X0,X1,X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',l27_li4142) ).

fof(f239,plain,
    ! [X2,X3] :
      ( less_than(X2,X3)
      | strictly_less_than(X3,X2) ),
    inference(duplicate_literal_removal,[],[f236]) ).

fof(f236,plain,
    ! [X2,X3] :
      ( strictly_less_than(X3,X2)
      | less_than(X2,X3)
      | less_than(X2,X3) ),
    inference(resolution,[],[f182,f208]) ).

fof(f208,plain,
    ! [X0,X1] :
      ( less_than(X1,X0)
      | less_than(X0,X1) ),
    inference(cnf_transformation,[],[f153]) ).

fof(f153,plain,
    ! [X0,X1] :
      ( less_than(X1,X0)
      | less_than(X0,X1) ),
    inference(rectify,[],[f2]) ).

fof(f2,axiom,
    ! [X1,X0] :
      ( less_than(X0,X1)
      | less_than(X1,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',totality) ).

fof(f182,plain,
    ! [X0,X1] :
      ( ~ less_than(X0,X1)
      | less_than(X1,X0)
      | strictly_less_than(X0,X1) ),
    inference(cnf_transformation,[],[f90]) ).

fof(f90,plain,
    ! [X0,X1] :
      ( ~ less_than(X0,X1)
      | less_than(X1,X0)
      | strictly_less_than(X0,X1) ),
    inference(flattening,[],[f89]) ).

fof(f89,plain,
    ! [X1,X0] :
      ( strictly_less_than(X0,X1)
      | less_than(X1,X0)
      | ~ less_than(X0,X1) ),
    inference(ennf_transformation,[],[f84]) ).

fof(f84,plain,
    ! [X1,X0] :
      ( ( ~ less_than(X1,X0)
        & less_than(X0,X1) )
     => strictly_less_than(X0,X1) ),
    inference(unused_predicate_definition_removal,[],[f4]) ).

fof(f4,axiom,
    ! [X1,X0] :
      ( strictly_less_than(X0,X1)
    <=> ( ~ less_than(X1,X0)
        & less_than(X0,X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',stricly_smaller_definition) ).

fof(f2081,plain,
    ( less_than(sK4(sK1),sK5(sK1))
    | ~ spl6_26 ),
    inference(avatar_component_clause,[],[f2079]) ).

fof(f2079,plain,
    ( spl6_26
  <=> less_than(sK4(sK1),sK5(sK1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_26])]) ).

fof(f2675,plain,
    ( spl6_26
    | ~ spl6_4
    | ~ spl6_19 ),
    inference(avatar_split_clause,[],[f2674,f1200,f330,f2079]) ).

fof(f330,plain,
    ( spl6_4
  <=> ! [X0] :
        ( less_than(X0,sK2)
        | ~ pair_in_list(sK1,sK2,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_4])]) ).

fof(f1200,plain,
    ( spl6_19
  <=> sK2 = sK5(sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_19])]) ).

fof(f2674,plain,
    ( less_than(sK4(sK1),sK5(sK1))
    | ~ spl6_4
    | ~ spl6_19 ),
    inference(resolution,[],[f2646,f244]) ).

fof(f244,plain,
    pair_in_list(sK1,sK5(sK1),sK4(sK1)),
    inference(resolution,[],[f193,f187]) ).

fof(f193,plain,
    ! [X2,X0,X1] :
      ( check_cpq(triple(X0,X1,X2))
      | pair_in_list(X1,sK5(X1),sK4(X1)) ),
    inference(cnf_transformation,[],[f144]) ).

fof(f2646,plain,
    ( ! [X0] :
        ( ~ pair_in_list(sK1,sK5(sK1),X0)
        | less_than(X0,sK5(sK1)) )
    | ~ spl6_4
    | ~ spl6_19 ),
    inference(forward_demodulation,[],[f2462,f1202]) ).

fof(f1202,plain,
    ( sK2 = sK5(sK1)
    | ~ spl6_19 ),
    inference(avatar_component_clause,[],[f1200]) ).

fof(f2462,plain,
    ( ! [X0] :
        ( ~ pair_in_list(sK1,sK5(sK1),X0)
        | less_than(X0,sK2) )
    | ~ spl6_4
    | ~ spl6_19 ),
    inference(backward_demodulation,[],[f331,f1202]) ).

fof(f331,plain,
    ( ! [X0] :
        ( ~ pair_in_list(sK1,sK2,X0)
        | less_than(X0,sK2) )
    | ~ spl6_4 ),
    inference(avatar_component_clause,[],[f330]) ).

fof(f2460,plain,
    ( spl6_19
    | spl6_20
    | ~ spl6_13 ),
    inference(avatar_split_clause,[],[f1501,f1016,f1204,f1200]) ).

fof(f1204,plain,
    ( spl6_20
  <=> pair_in_list(remove_slb(sK1,sK2),sK5(sK1),sK4(sK1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_20])]) ).

fof(f1016,plain,
    ( spl6_13
  <=> contains_slb(sK1,sK2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_13])]) ).

fof(f1501,plain,
    ( pair_in_list(remove_slb(sK1,sK2),sK5(sK1),sK4(sK1))
    | sK2 = sK5(sK1)
    | ~ spl6_13 ),
    inference(resolution,[],[f284,f1017]) ).

fof(f1017,plain,
    ( contains_slb(sK1,sK2)
    | ~ spl6_13 ),
    inference(avatar_component_clause,[],[f1016]) ).

fof(f284,plain,
    ! [X10] :
      ( ~ contains_slb(sK1,X10)
      | pair_in_list(remove_slb(sK1,X10),sK5(sK1),sK4(sK1))
      | sK5(sK1) = X10 ),
    inference(resolution,[],[f170,f244]) ).

fof(f170,plain,
    ! [X2,X3,X0,X1] :
      ( ~ pair_in_list(X0,X1,X2)
      | pair_in_list(remove_slb(X0,X3),X1,X2)
      | X1 = X3
      | ~ contains_slb(X0,X3) ),
    inference(cnf_transformation,[],[f128]) ).

fof(f128,plain,
    ! [X0,X1,X2] :
      ( ~ pair_in_list(X0,X1,X2)
      | ! [X3] :
          ( pair_in_list(remove_slb(X0,X3),X1,X2)
          | X1 = X3
          | ~ contains_slb(X0,X3) ) ),
    inference(rectify,[],[f121]) ).

fof(f121,plain,
    ! [X2,X1,X0] :
      ( ~ pair_in_list(X2,X1,X0)
      | ! [X3] :
          ( pair_in_list(remove_slb(X2,X3),X1,X0)
          | X1 = X3
          | ~ contains_slb(X2,X3) ) ),
    inference(flattening,[],[f120]) ).

fof(f120,plain,
    ! [X2,X1,X0] :
      ( ! [X3] :
          ( X1 = X3
          | pair_in_list(remove_slb(X2,X3),X1,X0)
          | ~ contains_slb(X2,X3) )
      | ~ pair_in_list(X2,X1,X0) ),
    inference(ennf_transformation,[],[f50]) ).

fof(f50,plain,
    ! [X2,X1,X0] :
      ( pair_in_list(X2,X1,X0)
     => ! [X3] :
          ( contains_slb(X2,X3)
         => ( X1 = X3
            | pair_in_list(remove_slb(X2,X3),X1,X0) ) ) ),
    inference(rectify,[],[f43]) ).

fof(f43,axiom,
    ! [X2,X1,X0] :
      ( pair_in_list(X0,X1,X2)
     => ! [X3] :
          ( contains_slb(X0,X3)
         => ( X1 = X3
            | pair_in_list(remove_slb(X0,X3),X1,X2) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',l27_li2829) ).

fof(f2459,plain,
    ( spl6_26
    | ~ spl6_3
    | ~ spl6_8
    | ~ spl6_20 ),
    inference(avatar_split_clause,[],[f2439,f1204,f768,f326,f2079]) ).

fof(f326,plain,
    ( spl6_3
  <=> check_cpq(remove_cpq(triple(sK3,sK1,sK0),sK2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_3])]) ).

fof(f768,plain,
    ( spl6_8
  <=> ! [X16,X15] : remove_cpq(triple(X15,sK1,X16),sK2) = triple(remove_pqp(X15,sK2),remove_slb(sK1,sK2),X16) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_8])]) ).

fof(f2439,plain,
    ( less_than(sK4(sK1),sK5(sK1))
    | ~ spl6_3
    | ~ spl6_8
    | ~ spl6_20 ),
    inference(resolution,[],[f1206,f1823]) ).

fof(f1823,plain,
    ( ! [X0,X1] :
        ( ~ pair_in_list(remove_slb(sK1,sK2),X1,X0)
        | less_than(X0,X1) )
    | ~ spl6_3
    | ~ spl6_8 ),
    inference(resolution,[],[f1805,f194]) ).

fof(f194,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ check_cpq(triple(X0,X1,X2))
      | less_than(X3,X4)
      | ~ pair_in_list(X1,X4,X3) ),
    inference(cnf_transformation,[],[f144]) ).

fof(f1805,plain,
    ( check_cpq(triple(remove_pqp(sK3,sK2),remove_slb(sK1,sK2),sK0))
    | ~ spl6_3
    | ~ spl6_8 ),
    inference(backward_demodulation,[],[f327,f769]) ).

fof(f769,plain,
    ( ! [X16,X15] : remove_cpq(triple(X15,sK1,X16),sK2) = triple(remove_pqp(X15,sK2),remove_slb(sK1,sK2),X16)
    | ~ spl6_8 ),
    inference(avatar_component_clause,[],[f768]) ).

fof(f327,plain,
    ( check_cpq(remove_cpq(triple(sK3,sK1,sK0),sK2))
    | ~ spl6_3 ),
    inference(avatar_component_clause,[],[f326]) ).

fof(f1206,plain,
    ( pair_in_list(remove_slb(sK1,sK2),sK5(sK1),sK4(sK1))
    | ~ spl6_20 ),
    inference(avatar_component_clause,[],[f1204]) ).

fof(f1804,plain,
    ~ spl6_14,
    inference(avatar_contradiction_clause,[],[f1803]) ).

fof(f1803,plain,
    ( $false
    | ~ spl6_14 ),
    inference(resolution,[],[f1798,f197]) ).

fof(f197,plain,
    ! [X0,X1] : ~ ok(triple(X0,X1,bad)),
    inference(cnf_transformation,[],[f145]) ).

fof(f145,plain,
    ! [X0,X1] : ~ ok(triple(X0,X1,bad)),
    inference(rectify,[],[f66]) ).

fof(f66,plain,
    ! [X1,X0] : ~ ok(triple(X1,X0,bad)),
    inference(flattening,[],[f65]) ).

fof(f65,plain,
    ! [X0,X1] : ~ ok(triple(X1,X0,bad)),
    inference(true_and_false_elimination,[],[f64]) ).

fof(f64,plain,
    ! [X0,X1] :
      ( $false
    <=> ok(triple(X1,X0,bad)) ),
    inference(rectify,[],[f28]) ).

fof(f28,axiom,
    ! [X1,X0] :
      ( $false
    <=> ok(triple(X0,X1,bad)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax40) ).

fof(f1798,plain,
    ( ok(triple(remove_pqp(sK3,sK2),remove_slb(sK1,sK2),bad))
    | ~ spl6_14 ),
    inference(backward_demodulation,[],[f189,f1021]) ).

fof(f1021,plain,
    ( ! [X0,X1] : remove_cpq(triple(X0,sK1,X1),sK2) = triple(remove_pqp(X0,sK2),remove_slb(sK1,sK2),bad)
    | ~ spl6_14 ),
    inference(avatar_component_clause,[],[f1020]) ).

fof(f1020,plain,
    ( spl6_14
  <=> ! [X0,X1] : remove_cpq(triple(X0,sK1,X1),sK2) = triple(remove_pqp(X0,sK2),remove_slb(sK1,sK2),bad) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_14])]) ).

fof(f189,plain,
    ok(remove_cpq(triple(sK3,sK1,sK0),sK2)),
    inference(cnf_transformation,[],[f140]) ).

fof(f1797,plain,
    ( ~ spl6_13
    | spl6_14
    | ~ spl6_17 ),
    inference(avatar_split_clause,[],[f1793,f1128,f1020,f1016]) ).

fof(f1128,plain,
    ( spl6_17
  <=> strictly_less_than(sK2,lookup_slb(sK1,sK2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_17])]) ).

fof(f1793,plain,
    ( ! [X0,X1] :
        ( remove_cpq(triple(X0,sK1,X1),sK2) = triple(remove_pqp(X0,sK2),remove_slb(sK1,sK2),bad)
        | ~ contains_slb(sK1,sK2) )
    | ~ spl6_17 ),
    inference(resolution,[],[f1129,f176]) ).

fof(f176,plain,
    ! [X2,X3,X0,X1] :
      ( ~ strictly_less_than(X2,lookup_slb(X3,X2))
      | ~ contains_slb(X3,X2)
      | remove_cpq(triple(X1,X3,X0),X2) = triple(remove_pqp(X1,X2),remove_slb(X3,X2),bad) ),
    inference(cnf_transformation,[],[f118]) ).

fof(f118,plain,
    ! [X0,X1,X2,X3] :
      ( remove_cpq(triple(X1,X3,X0),X2) = triple(remove_pqp(X1,X2),remove_slb(X3,X2),bad)
      | ~ contains_slb(X3,X2)
      | ~ strictly_less_than(X2,lookup_slb(X3,X2)) ),
    inference(flattening,[],[f117]) ).

fof(f117,plain,
    ! [X3,X0,X2,X1] :
      ( remove_cpq(triple(X1,X3,X0),X2) = triple(remove_pqp(X1,X2),remove_slb(X3,X2),bad)
      | ~ strictly_less_than(X2,lookup_slb(X3,X2))
      | ~ contains_slb(X3,X2) ),
    inference(ennf_transformation,[],[f68]) ).

fof(f68,plain,
    ! [X3,X0,X2,X1] :
      ( ( strictly_less_than(X2,lookup_slb(X3,X2))
        & contains_slb(X3,X2) )
     => remove_cpq(triple(X1,X3,X0),X2) = triple(remove_pqp(X1,X2),remove_slb(X3,X2),bad) ),
    inference(rectify,[],[f33]) ).

fof(f33,axiom,
    ! [X2,X0,X3,X1] :
      ( ( strictly_less_than(X3,lookup_slb(X1,X3))
        & contains_slb(X1,X3) )
     => remove_cpq(triple(X0,X1,X2),X3) = triple(remove_pqp(X0,X3),remove_slb(X1,X3),bad) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax45) ).

fof(f1129,plain,
    ( strictly_less_than(sK2,lookup_slb(sK1,sK2))
    | ~ spl6_17 ),
    inference(avatar_component_clause,[],[f1128]) ).

fof(f1670,plain,
    ( spl6_8
    | ~ spl6_13
    | ~ spl6_15 ),
    inference(avatar_split_clause,[],[f1655,f1120,f1016,f768]) ).

fof(f1120,plain,
    ( spl6_15
  <=> less_than(lookup_slb(sK1,sK2),sK2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_15])]) ).

fof(f1655,plain,
    ( ! [X0,X1] :
        ( ~ contains_slb(sK1,sK2)
        | remove_cpq(triple(X0,sK1,X1),sK2) = triple(remove_pqp(X0,sK2),remove_slb(sK1,sK2),X1) )
    | ~ spl6_15 ),
    inference(resolution,[],[f1121,f178]) ).

fof(f178,plain,
    ! [X2,X3,X0,X1] :
      ( ~ less_than(lookup_slb(X0,X2),X2)
      | ~ contains_slb(X0,X2)
      | triple(remove_pqp(X1,X2),remove_slb(X0,X2),X3) = remove_cpq(triple(X1,X0,X3),X2) ),
    inference(cnf_transformation,[],[f132]) ).

fof(f132,plain,
    ! [X0,X1,X2,X3] :
      ( ~ less_than(lookup_slb(X0,X2),X2)
      | triple(remove_pqp(X1,X2),remove_slb(X0,X2),X3) = remove_cpq(triple(X1,X0,X3),X2)
      | ~ contains_slb(X0,X2) ),
    inference(rectify,[],[f95]) ).

fof(f95,plain,
    ! [X0,X3,X1,X2] :
      ( ~ less_than(lookup_slb(X0,X1),X1)
      | remove_cpq(triple(X3,X0,X2),X1) = triple(remove_pqp(X3,X1),remove_slb(X0,X1),X2)
      | ~ contains_slb(X0,X1) ),
    inference(flattening,[],[f94]) ).

fof(f94,plain,
    ! [X0,X1,X3,X2] :
      ( remove_cpq(triple(X3,X0,X2),X1) = triple(remove_pqp(X3,X1),remove_slb(X0,X1),X2)
      | ~ contains_slb(X0,X1)
      | ~ less_than(lookup_slb(X0,X1),X1) ),
    inference(ennf_transformation,[],[f73]) ).

fof(f73,plain,
    ! [X0,X1,X3,X2] :
      ( ( contains_slb(X0,X1)
        & less_than(lookup_slb(X0,X1),X1) )
     => remove_cpq(triple(X3,X0,X2),X1) = triple(remove_pqp(X3,X1),remove_slb(X0,X1),X2) ),
    inference(rectify,[],[f32]) ).

fof(f32,axiom,
    ! [X1,X3,X2,X0] :
      ( ( less_than(lookup_slb(X1,X3),X3)
        & contains_slb(X1,X3) )
     => remove_cpq(triple(X0,X1,X2),X3) = triple(remove_pqp(X0,X3),remove_slb(X1,X3),X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax44) ).

fof(f1121,plain,
    ( less_than(lookup_slb(sK1,sK2),sK2)
    | ~ spl6_15 ),
    inference(avatar_component_clause,[],[f1120]) ).

fof(f1635,plain,
    ( spl6_17
    | spl6_15 ),
    inference(avatar_split_clause,[],[f1625,f1120,f1128]) ).

fof(f1625,plain,
    ( strictly_less_than(sK2,lookup_slb(sK1,sK2))
    | spl6_15 ),
    inference(resolution,[],[f1122,f239]) ).

fof(f1122,plain,
    ( ~ less_than(lookup_slb(sK1,sK2),sK2)
    | spl6_15 ),
    inference(avatar_component_clause,[],[f1120]) ).

fof(f1458,plain,
    spl6_13,
    inference(avatar_split_clause,[],[f233,f1016]) ).

fof(f233,plain,
    contains_slb(sK1,sK2),
    inference(resolution,[],[f214,f189]) ).

fof(f214,plain,
    ! [X2,X3,X0,X1] :
      ( ~ ok(remove_cpq(triple(X0,X2,X1),X3))
      | contains_slb(X2,X3) ),
    inference(cnf_transformation,[],[f113]) ).

fof(f113,plain,
    ! [X0,X1,X2,X3] :
      ( ~ ok(remove_cpq(triple(X0,X2,X1),X3))
      | contains_slb(X2,X3) ),
    inference(ennf_transformation,[],[f60]) ).

fof(f60,plain,
    ! [X3,X2,X1,X0] :
      ( ok(remove_cpq(triple(X0,X2,X1),X3))
     => contains_slb(X2,X3) ),
    inference(rectify,[],[f45]) ).

fof(f45,axiom,
    ! [X0,X2,X1,X3] :
      ( ok(remove_cpq(triple(X0,X1,X2),X3))
     => contains_slb(X1,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',l27_l33) ).

fof(f1095,plain,
    spl6_3,
    inference(avatar_split_clause,[],[f188,f326]) ).

fof(f188,plain,
    check_cpq(remove_cpq(triple(sK3,sK1,sK0),sK2)),
    inference(cnf_transformation,[],[f140]) ).

fof(f332,plain,
    ( ~ spl6_3
    | spl6_4 ),
    inference(avatar_split_clause,[],[f324,f330,f326]) ).

fof(f324,plain,
    ! [X0] :
      ( less_than(X0,sK2)
      | ~ pair_in_list(sK1,sK2,X0)
      | ~ check_cpq(remove_cpq(triple(sK3,sK1,sK0),sK2)) ),
    inference(resolution,[],[f212,f189]) ).

fof(f212,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ ok(remove_cpq(triple(X0,X3,X1),X2))
      | ~ pair_in_list(X3,X2,X4)
      | less_than(X4,X2)
      | ~ check_cpq(remove_cpq(triple(X0,X3,X1),X2)) ),
    inference(cnf_transformation,[],[f157]) ).

fof(f157,plain,
    ! [X0,X1,X2,X3] :
      ( ~ ok(remove_cpq(triple(X0,X3,X1),X2))
      | ! [X4] :
          ( less_than(X4,X2)
          | ~ pair_in_list(X3,X2,X4) )
      | ~ check_cpq(remove_cpq(triple(X0,X3,X1),X2)) ),
    inference(rectify,[],[f86]) ).

fof(f86,plain,
    ! [X1,X2,X3,X0] :
      ( ~ ok(remove_cpq(triple(X1,X0,X2),X3))
      | ! [X4] :
          ( less_than(X4,X3)
          | ~ pair_in_list(X0,X3,X4) )
      | ~ check_cpq(remove_cpq(triple(X1,X0,X2),X3)) ),
    inference(flattening,[],[f85]) ).

fof(f85,plain,
    ! [X0,X3,X2,X1] :
      ( ! [X4] :
          ( less_than(X4,X3)
          | ~ pair_in_list(X0,X3,X4) )
      | ~ ok(remove_cpq(triple(X1,X0,X2),X3))
      | ~ check_cpq(remove_cpq(triple(X1,X0,X2),X3)) ),
    inference(ennf_transformation,[],[f70]) ).

fof(f70,plain,
    ! [X0,X3,X2,X1] :
      ( ( ok(remove_cpq(triple(X1,X0,X2),X3))
        & check_cpq(remove_cpq(triple(X1,X0,X2),X3)) )
     => ! [X4] :
          ( pair_in_list(X0,X3,X4)
         => less_than(X4,X3) ) ),
    inference(rectify,[],[f44]) ).

fof(f44,axiom,
    ! [X1,X0,X2,X3] :
      ( ( check_cpq(remove_cpq(triple(X0,X1,X2),X3))
        & ok(remove_cpq(triple(X0,X1,X2),X3)) )
     => ! [X4] :
          ( pair_in_list(X1,X3,X4)
         => less_than(X4,X3) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',l27_l30) ).

fof(f306,plain,
    ~ spl6_2,
    inference(avatar_contradiction_clause,[],[f303]) ).

fof(f303,plain,
    ( $false
    | ~ spl6_2 ),
    inference(resolution,[],[f301,f202]) ).

fof(f202,plain,
    ! [X0,X1] : check_cpq(triple(X1,create_slb,X0)),
    inference(cnf_transformation,[],[f48]) ).

fof(f48,plain,
    ! [X0,X1] : check_cpq(triple(X1,create_slb,X0)),
    inference(rectify,[],[f24]) ).

fof(f24,axiom,
    ! [X1,X0] : check_cpq(triple(X0,create_slb,X1)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax36) ).

fof(f301,plain,
    ( ! [X6,X7,X5] : ~ check_cpq(triple(X5,X6,X7))
    | ~ spl6_2 ),
    inference(avatar_component_clause,[],[f300]) ).

fof(f300,plain,
    ( spl6_2
  <=> ! [X6,X5,X7] : ~ check_cpq(triple(X5,X6,X7)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_2])]) ).

fof(f302,plain,
    ( spl6_1
    | spl6_2 ),
    inference(avatar_split_clause,[],[f293,f300,f297]) ).

fof(f293,plain,
    ! [X8,X6,X9,X7,X5] :
      ( ~ check_cpq(triple(X5,X6,X7))
      | ~ strictly_less_than(X9,X8)
      | ~ less_than(X8,X9) ),
    inference(resolution,[],[f173,f209]) ).

fof(f209,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ check_cpq(triple(X3,insert_slb(X1,pair(X2,X4)),X0))
      | ~ strictly_less_than(X2,X4) ),
    inference(cnf_transformation,[],[f154]) ).

fof(f154,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ strictly_less_than(X2,X4)
      | ~ check_cpq(triple(X3,insert_slb(X1,pair(X2,X4)),X0)) ),
    inference(rectify,[],[f91]) ).

fof(f91,plain,
    ! [X2,X0,X3,X4,X1] :
      ( ~ strictly_less_than(X3,X1)
      | ~ check_cpq(triple(X4,insert_slb(X0,pair(X3,X1)),X2)) ),
    inference(ennf_transformation,[],[f53]) ).

fof(f53,plain,
    ! [X2,X4,X3,X0,X1] :
      ( strictly_less_than(X3,X1)
     => ~ check_cpq(triple(X4,insert_slb(X0,pair(X3,X1)),X2)) ),
    inference(flattening,[],[f52]) ).

fof(f52,plain,
    ! [X0,X1,X2,X3,X4] :
      ( strictly_less_than(X3,X1)
     => ~ check_cpq(triple(X4,insert_slb(X0,pair(X3,X1)),X2)) ),
    inference(true_and_false_elimination,[],[f51]) ).

fof(f51,plain,
    ! [X0,X1,X2,X3,X4] :
      ( strictly_less_than(X3,X1)
     => ( $false
      <=> check_cpq(triple(X4,insert_slb(X0,pair(X3,X1)),X2)) ) ),
    inference(rectify,[],[f26]) ).

fof(f26,axiom,
    ! [X1,X4,X2,X3,X0] :
      ( strictly_less_than(X3,X4)
     => ( $false
      <=> check_cpq(triple(X0,insert_slb(X1,pair(X3,X4)),X2)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax38) ).

fof(f173,plain,
    ! [X2,X3,X0,X1,X4] :
      ( check_cpq(triple(X1,insert_slb(X3,pair(X2,X0)),X4))
      | ~ check_cpq(triple(X1,X3,X4))
      | ~ less_than(X0,X2) ),
    inference(cnf_transformation,[],[f130]) ).

fof(f130,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ( ( check_cpq(triple(X1,insert_slb(X3,pair(X2,X0)),X4))
          | ~ check_cpq(triple(X1,X3,X4)) )
        & ( check_cpq(triple(X1,X3,X4))
          | ~ check_cpq(triple(X1,insert_slb(X3,pair(X2,X0)),X4)) ) )
      | ~ less_than(X0,X2) ),
    inference(rectify,[],[f129]) ).

fof(f129,plain,
    ! [X3,X0,X1,X2,X4] :
      ( ( ( check_cpq(triple(X0,insert_slb(X2,pair(X1,X3)),X4))
          | ~ check_cpq(triple(X0,X2,X4)) )
        & ( check_cpq(triple(X0,X2,X4))
          | ~ check_cpq(triple(X0,insert_slb(X2,pair(X1,X3)),X4)) ) )
      | ~ less_than(X3,X1) ),
    inference(nnf_transformation,[],[f104]) ).

fof(f104,plain,
    ! [X3,X0,X1,X2,X4] :
      ( ( check_cpq(triple(X0,insert_slb(X2,pair(X1,X3)),X4))
      <=> check_cpq(triple(X0,X2,X4)) )
      | ~ less_than(X3,X1) ),
    inference(ennf_transformation,[],[f74]) ).

fof(f74,plain,
    ! [X3,X2,X4,X0,X1] :
      ( less_than(X3,X1)
     => ( check_cpq(triple(X0,insert_slb(X2,pair(X1,X3)),X4))
      <=> check_cpq(triple(X0,X2,X4)) ) ),
    inference(rectify,[],[f25]) ).

fof(f25,axiom,
    ! [X0,X3,X1,X4,X2] :
      ( less_than(X4,X3)
     => ( check_cpq(triple(X0,insert_slb(X1,pair(X3,X4)),X2))
      <=> check_cpq(triple(X0,X1,X2)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax37) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : SWV391+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.35  % Computer : n004.cluster.edu
% 0.12/0.35  % Model    : x86_64 x86_64
% 0.12/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35  % Memory   : 8042.1875MB
% 0.12/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35  % CPULimit   : 300
% 0.12/0.35  % WCLimit    : 300
% 0.12/0.35  % DateTime   : Tue Aug 30 19:18:04 EDT 2022
% 0.12/0.35  % CPUTime    : 
% 0.18/0.50  % (8464)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.18/0.51  % (8466)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)
% 0.18/0.52  % (8465)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.18/0.53  % (8481)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)
% 0.18/0.53  % (8480)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.18/0.53  % (8458)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)
% 0.18/0.54  TRYING [1]
% 0.18/0.54  % (8473)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.18/0.54  % (8474)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)
% 0.18/0.54  % (8472)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)
% 0.18/0.56  TRYING [2]
% 0.18/0.56  % (8461)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)
% 0.18/0.56  % (8460)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.18/0.56  % (8463)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)
% 0.18/0.56  % (8460)Instruction limit reached!
% 0.18/0.56  % (8460)------------------------------
% 0.18/0.56  % (8460)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.56  % (8460)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.56  % (8460)Termination reason: Unknown
% 0.18/0.56  % (8460)Termination phase: Preprocessing 3
% 0.18/0.56  
% 0.18/0.56  % (8460)Memory used [KB]: 895
% 0.18/0.56  % (8460)Time elapsed: 0.003 s
% 0.18/0.56  % (8460)Instructions burned: 2 (million)
% 0.18/0.56  % (8460)------------------------------
% 0.18/0.56  % (8460)------------------------------
% 0.18/0.56  % (8453)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)
% 0.18/0.56  % (8462)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.18/0.56  % (8457)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)
% 0.18/0.56  % (8455)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)
% 0.18/0.57  TRYING [3]
% 0.18/0.57  % (8477)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.18/0.57  % (8471)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)
% 0.18/0.57  % (8456)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.58  % (8478)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)
% 0.18/0.58  % (8468)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)
% 1.67/0.58  % (8476)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.67/0.58  % (8470)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.67/0.58  % (8479)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)
% 1.67/0.58  % (8458)Instruction limit reached!
% 1.67/0.58  % (8458)------------------------------
% 1.67/0.58  % (8458)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.67/0.59  % (8469)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.67/0.60  % (8458)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.67/0.60  % (8458)Termination reason: Unknown
% 1.67/0.60  % (8458)Termination phase: Finite model building constraint generation
% 1.67/0.60  
% 1.67/0.60  % (8458)Memory used [KB]: 8443
% 1.67/0.60  % (8458)Time elapsed: 0.160 s
% 1.67/0.60  % (8458)Instructions burned: 52 (million)
% 1.67/0.60  % (8458)------------------------------
% 1.67/0.60  % (8458)------------------------------
% 1.82/0.62  TRYING [1]
% 1.82/0.64  TRYING [2]
% 1.82/0.64  % (8466)Instruction limit reached!
% 1.82/0.64  % (8466)------------------------------
% 1.82/0.64  % (8466)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.82/0.64  % (8466)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.82/0.64  % (8466)Termination reason: Unknown
% 1.82/0.64  % (8466)Termination phase: Saturation
% 1.82/0.64  
% 1.82/0.64  % (8466)Memory used [KB]: 7036
% 1.82/0.64  % (8466)Time elapsed: 0.050 s
% 1.82/0.64  % (8466)Instructions burned: 69 (million)
% 1.82/0.64  % (8466)------------------------------
% 1.82/0.64  % (8466)------------------------------
% 1.82/0.65  % (8467)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)
% 1.82/0.65  % (8455)Instruction limit reached!
% 1.82/0.65  % (8455)------------------------------
% 1.82/0.65  % (8455)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.82/0.65  % (8455)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.82/0.65  % (8455)Termination reason: Unknown
% 1.82/0.65  % (8455)Termination phase: Saturation
% 1.82/0.65  
% 1.82/0.65  % (8455)Memory used [KB]: 5884
% 1.82/0.65  % (8455)Time elapsed: 0.218 s
% 1.82/0.65  % (8455)Instructions burned: 52 (million)
% 1.82/0.65  % (8455)------------------------------
% 1.82/0.65  % (8455)------------------------------
% 1.82/0.66  % (8459)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.82/0.66  % (8475)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)
% 1.82/0.67  % (8454)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)
% 2.40/0.67  % (8461)Instruction limit reached!
% 2.40/0.67  % (8461)------------------------------
% 2.40/0.67  % (8461)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.40/0.67  % (8461)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.40/0.67  % (8461)Termination reason: Unknown
% 2.40/0.67  % (8461)Termination phase: Saturation
% 2.40/0.67  
% 2.40/0.67  % (8461)Memory used [KB]: 1279
% 2.40/0.67  % (8461)Time elapsed: 0.253 s
% 2.40/0.67  % (8461)Instructions burned: 52 (million)
% 2.40/0.67  % (8461)------------------------------
% 2.40/0.67  % (8461)------------------------------
% 2.40/0.67  % (8453)Instruction limit reached!
% 2.40/0.67  % (8453)------------------------------
% 2.40/0.67  % (8453)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.40/0.68  % (8457)Instruction limit reached!
% 2.40/0.68  % (8457)------------------------------
% 2.40/0.68  % (8457)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.40/0.68  % (8457)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.40/0.68  % (8457)Termination reason: Unknown
% 2.40/0.68  % (8457)Termination phase: Saturation
% 2.40/0.68  
% 2.40/0.68  % (8457)Memory used [KB]: 5756
% 2.40/0.68  % (8457)Time elapsed: 0.262 s
% 2.40/0.68  % (8457)Instructions burned: 48 (million)
% 2.40/0.68  % (8457)------------------------------
% 2.40/0.68  % (8457)------------------------------
% 2.40/0.68  % (8464)Instruction limit reached!
% 2.40/0.68  % (8464)------------------------------
% 2.40/0.68  % (8464)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.40/0.68  % (8464)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.40/0.68  % (8464)Termination reason: Unknown
% 2.40/0.68  % (8464)Termination phase: Saturation
% 2.40/0.68  
% 2.40/0.68  % (8464)Memory used [KB]: 6140
% 2.40/0.68  % (8464)Time elapsed: 0.263 s
% 2.40/0.68  % (8464)Instructions burned: 102 (million)
% 2.40/0.68  % (8464)------------------------------
% 2.40/0.68  % (8464)------------------------------
% 2.40/0.68  % (8459)Instruction limit reached!
% 2.40/0.68  % (8459)------------------------------
% 2.40/0.68  % (8459)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.40/0.68  % (8459)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.40/0.68  % (8459)Termination reason: Unknown
% 2.40/0.68  % (8459)Termination phase: Saturation
% 2.40/0.68  
% 2.40/0.68  % (8459)Memory used [KB]: 5628
% 2.40/0.68  % (8459)Time elapsed: 0.224 s
% 2.40/0.68  % (8459)Instructions burned: 8 (million)
% 2.40/0.68  % (8459)------------------------------
% 2.40/0.68  % (8459)------------------------------
% 2.40/0.68  % (8465)Instruction limit reached!
% 2.40/0.68  % (8465)------------------------------
% 2.40/0.68  % (8465)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.40/0.68  % (8465)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.40/0.68  % (8465)Termination reason: Unknown
% 2.40/0.68  % (8465)Termination phase: Saturation
% 2.40/0.68  
% 2.40/0.68  % (8465)Memory used [KB]: 6268
% 2.40/0.68  % (8465)Time elapsed: 0.272 s
% 2.40/0.68  % (8465)Instructions burned: 100 (million)
% 2.40/0.68  % (8465)------------------------------
% 2.40/0.68  % (8465)------------------------------
% 2.40/0.69  TRYING [3]
% 2.40/0.69  % (8453)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.40/0.69  % (8453)Termination reason: Unknown
% 2.40/0.69  % (8453)Termination phase: Saturation
% 2.40/0.69  
% 2.40/0.69  % (8453)Memory used [KB]: 6396
% 2.40/0.69  % (8453)Time elapsed: 0.240 s
% 2.40/0.69  % (8453)Instructions burned: 50 (million)
% 2.40/0.69  % (8453)------------------------------
% 2.40/0.69  % (8453)------------------------------
% 2.40/0.70  % (8452)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)
% 2.40/0.73  TRYING [1]
% 2.40/0.74  % (8462)Instruction limit reached!
% 2.40/0.74  % (8462)------------------------------
% 2.40/0.74  % (8462)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.40/0.74  % (8462)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.40/0.74  % (8462)Termination reason: Unknown
% 2.40/0.74  % (8462)Termination phase: Saturation
% 2.40/0.74  
% 2.40/0.74  % (8462)Memory used [KB]: 6268
% 2.40/0.74  % (8462)Time elapsed: 0.321 s
% 2.40/0.74  % (8462)Instructions burned: 50 (million)
% 2.40/0.74  % (8462)------------------------------
% 2.40/0.74  % (8462)------------------------------
% 2.40/0.74  % (8469)Instruction limit reached!
% 2.40/0.74  % (8469)------------------------------
% 2.40/0.74  % (8469)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.40/0.74  % (8469)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.40/0.74  % (8469)Termination reason: Unknown
% 2.40/0.74  % (8469)Termination phase: Finite model building constraint generation
% 2.40/0.74  
% 2.40/0.74  % (8469)Memory used [KB]: 8827
% 2.40/0.74  % (8469)Time elapsed: 0.280 s
% 2.40/0.74  % (8469)Instructions burned: 59 (million)
% 2.40/0.74  % (8469)------------------------------
% 2.40/0.74  % (8469)------------------------------
% 2.40/0.74  % (8456)Instruction limit reached!
% 2.40/0.74  % (8456)------------------------------
% 2.40/0.74  % (8456)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.40/0.74  % (8456)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.40/0.74  % (8456)Termination reason: Unknown
% 2.40/0.74  % (8456)Termination phase: Saturation
% 2.40/0.74  
% 2.40/0.74  % (8456)Memory used [KB]: 6524
% 2.40/0.74  % (8456)Time elapsed: 0.323 s
% 2.40/0.74  % (8456)Instructions burned: 51 (million)
% 2.40/0.74  % (8456)------------------------------
% 2.40/0.74  % (8456)------------------------------
% 2.40/0.75  TRYING [2]
% 2.40/0.76  % (8468)Instruction limit reached!
% 2.40/0.76  % (8468)------------------------------
% 2.40/0.76  % (8468)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.40/0.76  % (8468)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.40/0.76  % (8468)Termination reason: Unknown
% 2.40/0.76  % (8468)Termination phase: Saturation
% 2.40/0.76  
% 2.40/0.76  % (8468)Memory used [KB]: 6140
% 2.40/0.76  % (8468)Time elapsed: 0.298 s
% 2.40/0.76  % (8468)Instructions burned: 99 (million)
% 2.40/0.76  % (8468)------------------------------
% 2.40/0.76  % (8468)------------------------------
% 3.00/0.78  % (8463)Instruction limit reached!
% 3.00/0.78  % (8463)------------------------------
% 3.00/0.78  % (8463)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.00/0.78  % (8463)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.00/0.78  % (8463)Termination reason: Unknown
% 3.00/0.78  % (8463)Termination phase: Saturation
% 3.00/0.78  
% 3.00/0.78  % (8463)Memory used [KB]: 6140
% 3.00/0.78  % (8463)Time elapsed: 0.339 s
% 3.00/0.78  % (8463)Instructions burned: 101 (million)
% 3.00/0.78  % (8463)------------------------------
% 3.00/0.78  % (8463)------------------------------
% 3.00/0.78  % (8473)Instruction limit reached!
% 3.00/0.78  % (8473)------------------------------
% 3.00/0.78  % (8473)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.00/0.78  % (8473)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.00/0.78  % (8473)Termination reason: Unknown
% 3.00/0.78  % (8473)Termination phase: Saturation
% 3.00/0.78  
% 3.00/0.78  % (8473)Memory used [KB]: 7036
% 3.00/0.78  % (8473)Time elapsed: 0.364 s
% 3.00/0.78  % (8473)Instructions burned: 138 (million)
% 3.00/0.78  % (8473)------------------------------
% 3.00/0.78  % (8473)------------------------------
% 3.00/0.78  % (8470)Instruction limit reached!
% 3.00/0.78  % (8470)------------------------------
% 3.00/0.78  % (8470)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.00/0.78  % (8470)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.00/0.78  % (8470)Termination reason: Unknown
% 3.00/0.78  % (8470)Termination phase: Saturation
% 3.00/0.78  
% 3.00/0.78  % (8470)Memory used [KB]: 6908
% 3.00/0.78  % (8470)Time elapsed: 0.344 s
% 3.00/0.78  % (8470)Instructions burned: 100 (million)
% 3.00/0.78  % (8470)------------------------------
% 3.00/0.78  % (8470)------------------------------
% 3.00/0.78  % (8478)Instruction limit reached!
% 3.00/0.78  % (8478)------------------------------
% 3.00/0.78  % (8478)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.00/0.78  % (8478)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.00/0.78  % (8478)Termination reason: Unknown
% 3.00/0.78  % (8478)Termination phase: Saturation
% 3.00/0.78  
% 3.00/0.78  % (8478)Memory used [KB]: 7036
% 3.00/0.78  % (8478)Time elapsed: 0.054 s
% 3.00/0.78  % (8478)Instructions burned: 68 (million)
% 3.00/0.78  % (8478)------------------------------
% 3.00/0.78  % (8478)------------------------------
% 3.00/0.78  TRYING [3]
% 3.00/0.79  % (8454)Instruction limit reached!
% 3.00/0.79  % (8454)------------------------------
% 3.00/0.79  % (8454)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.00/0.79  % (8454)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.00/0.79  % (8454)Termination reason: Unknown
% 3.00/0.79  % (8454)Termination phase: Saturation
% 3.00/0.79  
% 3.00/0.79  % (8454)Memory used [KB]: 1535
% 3.00/0.79  % (8454)Time elapsed: 0.321 s
% 3.00/0.79  % (8454)Instructions burned: 38 (million)
% 3.00/0.79  % (8454)------------------------------
% 3.00/0.79  % (8454)------------------------------
% 3.16/0.80  % (8472)Instruction limit reached!
% 3.16/0.80  % (8472)------------------------------
% 3.16/0.80  % (8472)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.16/0.80  % (8472)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.16/0.80  % (8472)Termination reason: Unknown
% 3.16/0.80  % (8472)Termination phase: Saturation
% 3.16/0.80  
% 3.16/0.80  % (8472)Memory used [KB]: 7164
% 3.16/0.80  % (8472)Time elapsed: 0.382 s
% 3.16/0.80  % (8472)Instructions burned: 176 (million)
% 3.16/0.80  % (8472)------------------------------
% 3.16/0.80  % (8472)------------------------------
% 3.16/0.81  % (8483)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)
% 3.16/0.81  % (8471)Instruction limit reached!
% 3.16/0.81  % (8471)------------------------------
% 3.16/0.81  % (8471)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.16/0.81  % (8471)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.16/0.81  % (8471)Termination reason: Unknown
% 3.16/0.81  % (8471)Termination phase: Saturation
% 3.16/0.81  
% 3.16/0.81  % (8471)Memory used [KB]: 2174
% 3.16/0.81  % (8471)Time elapsed: 0.402 s
% 3.16/0.81  % (8471)Instructions burned: 100 (million)
% 3.16/0.81  % (8471)------------------------------
% 3.16/0.81  % (8471)------------------------------
% 3.25/0.84  % (8482)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)
% 3.25/0.85  % (8467)Instruction limit reached!
% 3.25/0.85  % (8467)------------------------------
% 3.25/0.85  % (8467)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.25/0.85  % (8467)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.25/0.85  % (8467)Termination reason: Unknown
% 3.25/0.85  % (8467)Termination phase: Saturation
% 3.25/0.85  
% 3.25/0.85  % (8467)Memory used [KB]: 1407
% 3.25/0.85  % (8467)Time elapsed: 0.347 s
% 3.25/0.85  % (8467)Instructions burned: 75 (million)
% 3.25/0.85  % (8467)------------------------------
% 3.25/0.85  % (8467)------------------------------
% 3.25/0.85  WARNING Broken Constraint: if sine_depth(2) has been set then sine_selection(off) is not equal to off
% 3.25/0.85  % (8491)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 (2996ds/981Mi)
% 3.25/0.86  % (8484)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)
% 3.25/0.86  % (8490)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 (2996ds/940Mi)
% 3.25/0.88  % (8486)ott+1_1:7_bd=off:i=934:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/934Mi)
% 3.25/0.88  % (8485)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/920Mi)
% 3.25/0.89  % (8487)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 (2996ds/747Mi)
% 3.25/0.90  % (8488)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 (2996ds/655Mi)
% 3.25/0.92  % (8501)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=2134:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/2134Mi)
% 3.49/0.95  % (8498)ott+3_1:1_atotf=0.2:fsr=off:kws=precedence:sp=weighted_frequency:spb=intro:tgt=ground:i=4931:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4931Mi)
% 3.49/0.95  % (8479)Instruction limit reached!
% 3.49/0.95  % (8479)------------------------------
% 3.49/0.95  % (8479)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.49/0.95  % (8479)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.49/0.95  % (8479)Termination reason: Unknown
% 3.49/0.95  % (8479)Termination phase: Saturation
% 3.49/0.95  
% 3.49/0.95  % (8479)Memory used [KB]: 1918
% 3.49/0.95  % (8479)Time elapsed: 0.515 s
% 3.49/0.95  % (8479)Instructions burned: 178 (million)
% 3.49/0.95  % (8479)------------------------------
% 3.49/0.95  % (8479)------------------------------
% 3.49/0.96  % (8489)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 (2996ds/68Mi)
% 3.49/0.96  % (8497)ott+10_1:1_kws=precedence:tgt=ground:i=4756:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4756Mi)
% 3.49/0.98  % (8495)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)
% 3.49/0.99  % (8496)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=4959:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4959Mi)
% 3.70/1.01  % (8493)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 (2996ds/2016Mi)
% 3.70/1.01  % (8494)dis+10_1:2_atotf=0.3:i=3735:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/3735Mi)
% 3.70/1.02  % (8492)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 (2996ds/90Mi)
% 3.70/1.05  % (8502)ott-1_1:1_sp=const_frequency:i=2891:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/2891Mi)
% 3.70/1.06  % (8481)First to succeed.
% 3.70/1.07  % (8481)Refutation found. Thanks to Tanya!
% 3.70/1.07  % SZS status Theorem for theBenchmark
% 3.70/1.07  % SZS output start Proof for theBenchmark
% See solution above
% 3.70/1.07  % (8481)------------------------------
% 3.70/1.07  % (8481)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.70/1.07  % (8481)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.70/1.07  % (8481)Termination reason: Refutation
% 3.70/1.07  
% 3.70/1.07  % (8481)Memory used [KB]: 8443
% 3.70/1.07  % (8481)Time elapsed: 0.626 s
% 3.70/1.07  % (8481)Instructions burned: 267 (million)
% 3.70/1.07  % (8481)------------------------------
% 3.70/1.07  % (8481)------------------------------
% 3.70/1.07  % (8451)Success in time 0.709 s
%------------------------------------------------------------------------------