TSTP Solution File: PUZ062-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : PUZ062-1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% Computer : n023.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 18:10:59 EDT 2022

% Result   : Unsatisfiable 0.20s 0.74s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   25
% Syntax   : Number of formulae    :   75 (  25 unt;   0 def)
%            Number of atoms       :  136 (  21 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :  113 (  52   ~;  51   |;   0   &)
%                                         (  10 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :   13 (  11 usr;  11 prp; 0-3 aty)
%            Number of functors    :   23 (  23 usr;  12 con; 0-4 aty)
%            Number of variables   :   36 (  36   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f3820,plain,
    $false,
    inference(avatar_sat_refutation,[],[f2878,f2926,f2936,f2973,f2993,f3240,f3542,f3560,f3802,f3805,f3818]) ).

fof(f3818,plain,
    ( ~ spl0_3
    | spl0_36 ),
    inference(avatar_split_clause,[],[f3815,f3386,f2819]) ).

fof(f2819,plain,
    ( spl0_3
  <=> c_in(v_t,c_Finite__Set_OFinites,tc_set(tc_prod(tc_nat,tc_nat))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f3386,plain,
    ( spl0_36
  <=> c_in(c_minus(c_Mutil_Ocoloured(c_0),c_uminus(v_t,tc_set(tc_prod(tc_nat,tc_nat))),tc_set(tc_prod(tc_nat,tc_nat))),c_Finite__Set_OFinites,tc_set(tc_prod(tc_nat,tc_nat))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f3815,plain,
    ( ~ c_in(v_t,c_Finite__Set_OFinites,tc_set(tc_prod(tc_nat,tc_nat)))
    | spl0_36 ),
    inference(resolution,[],[f3388,f2758]) ).

fof(f2758,plain,
    ! [X26,X27,X5] :
      ( c_in(c_minus(X26,c_uminus(X27,tc_set(X5)),tc_set(X5)),c_Finite__Set_OFinites,tc_set(X5))
      | ~ c_in(X27,c_Finite__Set_OFinites,tc_set(X5)) ),
    inference(definition_unfolding,[],[f1599,f1427]) ).

fof(f1427,axiom,
    ! [X24,X5,X20] : c_inter(X20,X24,X5) = c_minus(X20,c_uminus(X24,tc_set(X5)),tc_set(X5)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_ODiff__Compl_0) ).

fof(f1599,axiom,
    ! [X26,X27,X5] :
      ( ~ c_in(X27,c_Finite__Set_OFinites,tc_set(X5))
      | c_in(c_inter(X26,X27,X5),c_Finite__Set_OFinites,tc_set(X5)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Finite__Set_Ofinite__Int_1) ).

fof(f3388,plain,
    ( ~ c_in(c_minus(c_Mutil_Ocoloured(c_0),c_uminus(v_t,tc_set(tc_prod(tc_nat,tc_nat))),tc_set(tc_prod(tc_nat,tc_nat))),c_Finite__Set_OFinites,tc_set(tc_prod(tc_nat,tc_nat)))
    | spl0_36 ),
    inference(avatar_component_clause,[],[f3386]) ).

fof(f3805,plain,
    ( spl0_19
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f3803,f2929,f2986]) ).

fof(f2986,plain,
    ( spl0_19
  <=> c_in(c_Pair(v_m,v_n,tc_nat,tc_nat),v_t,tc_prod(tc_nat,tc_nat)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f2929,plain,
    ( spl0_13
  <=> c_in(c_Pair(v_m,v_n,tc_nat,tc_nat),c_minus(c_Mutil_Ocoloured(c_1),c_uminus(v_t,tc_set(tc_prod(tc_nat,tc_nat))),tc_set(tc_prod(tc_nat,tc_nat))),tc_prod(tc_nat,tc_nat)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f3803,plain,
    ( c_in(c_Pair(v_m,v_n,tc_nat,tc_nat),v_t,tc_prod(tc_nat,tc_nat))
    | ~ spl0_13 ),
    inference(resolution,[],[f2931,f2775]) ).

fof(f2775,plain,
    ! [X19,X24,X5,X20] :
      ( ~ c_in(X19,c_minus(X20,c_uminus(X24,tc_set(X5)),tc_set(X5)),X5)
      | c_in(X19,X24,X5) ),
    inference(definition_unfolding,[],[f1448,f1427]) ).

fof(f1448,axiom,
    ! [X19,X24,X5,X20] :
      ( ~ c_in(X19,c_inter(X20,X24,X5),X5)
      | c_in(X19,X24,X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OInt__iff_1) ).

fof(f2931,plain,
    ( c_in(c_Pair(v_m,v_n,tc_nat,tc_nat),c_minus(c_Mutil_Ocoloured(c_1),c_uminus(v_t,tc_set(tc_prod(tc_nat,tc_nat))),tc_set(tc_prod(tc_nat,tc_nat))),tc_prod(tc_nat,tc_nat))
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f2929]) ).

fof(f3802,plain,
    ( spl0_17
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f3800,f3378,f2966]) ).

fof(f2966,plain,
    ( spl0_17
  <=> c_in(c_Pair(v_i,v_j,tc_nat,tc_nat),v_t,tc_prod(tc_nat,tc_nat)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f3378,plain,
    ( spl0_34
  <=> c_in(c_Pair(v_i,v_j,tc_nat,tc_nat),c_minus(c_Mutil_Ocoloured(c_0),c_uminus(v_t,tc_set(tc_prod(tc_nat,tc_nat))),tc_set(tc_prod(tc_nat,tc_nat))),tc_prod(tc_nat,tc_nat)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f3800,plain,
    ( c_in(c_Pair(v_i,v_j,tc_nat,tc_nat),v_t,tc_prod(tc_nat,tc_nat))
    | ~ spl0_34 ),
    inference(resolution,[],[f3380,f2775]) ).

fof(f3380,plain,
    ( c_in(c_Pair(v_i,v_j,tc_nat,tc_nat),c_minus(c_Mutil_Ocoloured(c_0),c_uminus(v_t,tc_set(tc_prod(tc_nat,tc_nat))),tc_set(tc_prod(tc_nat,tc_nat))),tc_prod(tc_nat,tc_nat))
    | ~ spl0_34 ),
    inference(avatar_component_clause,[],[f3378]) ).

fof(f3560,plain,
    ( ~ spl0_36
    | spl0_34
    | spl0_14 ),
    inference(avatar_split_clause,[],[f3393,f2933,f3378,f3386]) ).

fof(f2933,plain,
    ( spl0_14
  <=> c_Suc(c_Finite__Set_Ocard(c_minus(c_Mutil_Ocoloured(c_0),c_uminus(v_t,tc_set(tc_prod(tc_nat,tc_nat))),tc_set(tc_prod(tc_nat,tc_nat))),tc_prod(tc_nat,tc_nat))) = c_Finite__Set_Ocard(c_insert(c_Pair(v_i,v_j,tc_nat,tc_nat),c_minus(c_Mutil_Ocoloured(c_0),c_uminus(v_t,tc_set(tc_prod(tc_nat,tc_nat))),tc_set(tc_prod(tc_nat,tc_nat))),tc_prod(tc_nat,tc_nat)),tc_prod(tc_nat,tc_nat)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f3393,plain,
    ( c_in(c_Pair(v_i,v_j,tc_nat,tc_nat),c_minus(c_Mutil_Ocoloured(c_0),c_uminus(v_t,tc_set(tc_prod(tc_nat,tc_nat))),tc_set(tc_prod(tc_nat,tc_nat))),tc_prod(tc_nat,tc_nat))
    | ~ c_in(c_minus(c_Mutil_Ocoloured(c_0),c_uminus(v_t,tc_set(tc_prod(tc_nat,tc_nat))),tc_set(tc_prod(tc_nat,tc_nat))),c_Finite__Set_OFinites,tc_set(tc_prod(tc_nat,tc_nat)))
    | spl0_14 ),
    inference(trivial_inequality_removal,[],[f3392]) ).

fof(f3392,plain,
    ( c_Suc(c_Finite__Set_Ocard(c_minus(c_Mutil_Ocoloured(c_0),c_uminus(v_t,tc_set(tc_prod(tc_nat,tc_nat))),tc_set(tc_prod(tc_nat,tc_nat))),tc_prod(tc_nat,tc_nat))) != c_Suc(c_Finite__Set_Ocard(c_minus(c_Mutil_Ocoloured(c_0),c_uminus(v_t,tc_set(tc_prod(tc_nat,tc_nat))),tc_set(tc_prod(tc_nat,tc_nat))),tc_prod(tc_nat,tc_nat)))
    | ~ c_in(c_minus(c_Mutil_Ocoloured(c_0),c_uminus(v_t,tc_set(tc_prod(tc_nat,tc_nat))),tc_set(tc_prod(tc_nat,tc_nat))),c_Finite__Set_OFinites,tc_set(tc_prod(tc_nat,tc_nat)))
    | c_in(c_Pair(v_i,v_j,tc_nat,tc_nat),c_minus(c_Mutil_Ocoloured(c_0),c_uminus(v_t,tc_set(tc_prod(tc_nat,tc_nat))),tc_set(tc_prod(tc_nat,tc_nat))),tc_prod(tc_nat,tc_nat))
    | spl0_14 ),
    inference(superposition,[],[f2935,f121]) ).

fof(f121,axiom,
    ! [X3,X5,X20] :
      ( c_Finite__Set_Ocard(c_insert(X3,X20,X5),X5) = c_Suc(c_Finite__Set_Ocard(X20,X5))
      | c_in(X3,X20,X5)
      | ~ c_in(X20,c_Finite__Set_OFinites,tc_set(X5)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Finite__Set_Ocard__insert__disjoint_0) ).

fof(f2935,plain,
    ( c_Suc(c_Finite__Set_Ocard(c_minus(c_Mutil_Ocoloured(c_0),c_uminus(v_t,tc_set(tc_prod(tc_nat,tc_nat))),tc_set(tc_prod(tc_nat,tc_nat))),tc_prod(tc_nat,tc_nat))) != c_Finite__Set_Ocard(c_insert(c_Pair(v_i,v_j,tc_nat,tc_nat),c_minus(c_Mutil_Ocoloured(c_0),c_uminus(v_t,tc_set(tc_prod(tc_nat,tc_nat))),tc_set(tc_prod(tc_nat,tc_nat))),tc_prod(tc_nat,tc_nat)),tc_prod(tc_nat,tc_nat))
    | spl0_14 ),
    inference(avatar_component_clause,[],[f2933]) ).

fof(f3542,plain,
    ~ spl0_20,
    inference(avatar_contradiction_clause,[],[f3541]) ).

fof(f3541,plain,
    ( $false
    | ~ spl0_20 ),
    inference(resolution,[],[f2992,f1513]) ).

fof(f1513,axiom,
    ! [X19,X5] : ~ c_in(X19,c_emptyset,X5),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_Oempty__iff_0) ).

fof(f2992,plain,
    ( c_in(c_Pair(v_m,v_n,tc_nat,tc_nat),c_emptyset,tc_prod(tc_nat,tc_nat))
    | ~ spl0_20 ),
    inference(avatar_component_clause,[],[f2990]) ).

fof(f2990,plain,
    ( spl0_20
  <=> c_in(c_Pair(v_m,v_n,tc_nat,tc_nat),c_emptyset,tc_prod(tc_nat,tc_nat)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f3240,plain,
    ~ spl0_18,
    inference(avatar_contradiction_clause,[],[f3239]) ).

fof(f3239,plain,
    ( $false
    | ~ spl0_18 ),
    inference(resolution,[],[f2972,f1513]) ).

fof(f2972,plain,
    ( c_in(c_Pair(v_i,v_j,tc_nat,tc_nat),c_emptyset,tc_prod(tc_nat,tc_nat))
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f2970]) ).

fof(f2970,plain,
    ( spl0_18
  <=> c_in(c_Pair(v_i,v_j,tc_nat,tc_nat),c_emptyset,tc_prod(tc_nat,tc_nat)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f2993,plain,
    ( ~ spl0_19
    | spl0_20 ),
    inference(avatar_split_clause,[],[f2984,f2990,f2986]) ).

fof(f2984,plain,
    ( c_in(c_Pair(v_m,v_n,tc_nat,tc_nat),c_emptyset,tc_prod(tc_nat,tc_nat))
    | ~ c_in(c_Pair(v_m,v_n,tc_nat,tc_nat),v_t,tc_prod(tc_nat,tc_nat)) ),
    inference(resolution,[],[f2954,f2798]) ).

fof(f2798,plain,
    ! [X10] :
      ( ~ c_in(X10,v_a,tc_prod(tc_nat,tc_nat))
      | ~ c_in(X10,v_t,tc_prod(tc_nat,tc_nat))
      | c_in(X10,c_emptyset,tc_prod(tc_nat,tc_nat)) ),
    inference(superposition,[],[f2771,f2745]) ).

fof(f2745,plain,
    c_emptyset = c_minus(v_a,c_uminus(v_t,tc_set(tc_prod(tc_nat,tc_nat))),tc_set(tc_prod(tc_nat,tc_nat))),
    inference(definition_unfolding,[],[f2741,f1427]) ).

fof(f2741,axiom,
    c_emptyset = c_inter(v_a,v_t,tc_prod(tc_nat,tc_nat)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).

fof(f2771,plain,
    ! [X19,X24,X5,X20] :
      ( c_in(X19,c_minus(X20,c_uminus(X24,tc_set(X5)),tc_set(X5)),X5)
      | ~ c_in(X19,X24,X5)
      | ~ c_in(X19,X20,X5) ),
    inference(definition_unfolding,[],[f1449,f1427]) ).

fof(f1449,axiom,
    ! [X19,X24,X5,X20] :
      ( ~ c_in(X19,X24,X5)
      | ~ c_in(X19,X20,X5)
      | c_in(X19,c_inter(X20,X24,X5),X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OInt__iff_2) ).

fof(f2954,plain,
    c_in(c_Pair(v_m,v_n,tc_nat,tc_nat),v_a,tc_prod(tc_nat,tc_nat)),
    inference(resolution,[],[f2863,f1674]) ).

fof(f1674,axiom,
    ! [X8,X5] : c_in(X8,c_insert(X8,c_emptyset,X5),X5),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OsingletonI_0) ).

fof(f2863,plain,
    ! [X11] :
      ( ~ c_in(X11,c_insert(c_Pair(v_m,v_n,tc_nat,tc_nat),c_emptyset,tc_prod(tc_nat,tc_nat)),tc_prod(tc_nat,tc_nat))
      | c_in(X11,v_a,tc_prod(tc_nat,tc_nat)) ),
    inference(superposition,[],[f2775,f2784]) ).

fof(f2784,plain,
    c_insert(c_Pair(v_m,v_n,tc_nat,tc_nat),c_emptyset,tc_prod(tc_nat,tc_nat)) = c_minus(c_Mutil_Ocoloured(c_1),c_uminus(v_a,tc_set(tc_prod(tc_nat,tc_nat))),tc_set(tc_prod(tc_nat,tc_nat))),
    inference(forward_demodulation,[],[f2769,f857]) ).

fof(f857,axiom,
    c_Suc(c_0) = c_1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_OOne__nat__def_0) ).

fof(f2769,plain,
    c_insert(c_Pair(v_m,v_n,tc_nat,tc_nat),c_emptyset,tc_prod(tc_nat,tc_nat)) = c_minus(c_Mutil_Ocoloured(c_Suc(c_0)),c_uminus(v_a,tc_set(tc_prod(tc_nat,tc_nat))),tc_set(tc_prod(tc_nat,tc_nat))),
    inference(definition_unfolding,[],[f2743,f1427]) ).

fof(f2743,axiom,
    c_inter(c_Mutil_Ocoloured(c_Suc(c_0)),v_a,tc_prod(tc_nat,tc_nat)) = c_insert(c_Pair(v_m,v_n,tc_nat,tc_nat),c_emptyset,tc_prod(tc_nat,tc_nat)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).

fof(f2973,plain,
    ( ~ spl0_17
    | spl0_18 ),
    inference(avatar_split_clause,[],[f2964,f2970,f2966]) ).

fof(f2964,plain,
    ( c_in(c_Pair(v_i,v_j,tc_nat,tc_nat),c_emptyset,tc_prod(tc_nat,tc_nat))
    | ~ c_in(c_Pair(v_i,v_j,tc_nat,tc_nat),v_t,tc_prod(tc_nat,tc_nat)) ),
    inference(resolution,[],[f2949,f2798]) ).

fof(f2949,plain,
    c_in(c_Pair(v_i,v_j,tc_nat,tc_nat),v_a,tc_prod(tc_nat,tc_nat)),
    inference(resolution,[],[f2836,f1674]) ).

fof(f2836,plain,
    ! [X11] :
      ( ~ c_in(X11,c_insert(c_Pair(v_i,v_j,tc_nat,tc_nat),c_emptyset,tc_prod(tc_nat,tc_nat)),tc_prod(tc_nat,tc_nat))
      | c_in(X11,v_a,tc_prod(tc_nat,tc_nat)) ),
    inference(superposition,[],[f2775,f2754]) ).

fof(f2754,plain,
    c_insert(c_Pair(v_i,v_j,tc_nat,tc_nat),c_emptyset,tc_prod(tc_nat,tc_nat)) = c_minus(c_Mutil_Ocoloured(c_0),c_uminus(v_a,tc_set(tc_prod(tc_nat,tc_nat))),tc_set(tc_prod(tc_nat,tc_nat))),
    inference(definition_unfolding,[],[f2742,f1427]) ).

fof(f2742,axiom,
    c_inter(c_Mutil_Ocoloured(c_0),v_a,tc_prod(tc_nat,tc_nat)) = c_insert(c_Pair(v_i,v_j,tc_nat,tc_nat),c_emptyset,tc_prod(tc_nat,tc_nat)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).

fof(f2936,plain,
    ( ~ spl0_8
    | spl0_13
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f2927,f2933,f2929,f2882]) ).

fof(f2882,plain,
    ( spl0_8
  <=> c_in(c_minus(c_Mutil_Ocoloured(c_1),c_uminus(v_t,tc_set(tc_prod(tc_nat,tc_nat))),tc_set(tc_prod(tc_nat,tc_nat))),c_Finite__Set_OFinites,tc_set(tc_prod(tc_nat,tc_nat))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f2927,plain,
    ( c_Suc(c_Finite__Set_Ocard(c_minus(c_Mutil_Ocoloured(c_0),c_uminus(v_t,tc_set(tc_prod(tc_nat,tc_nat))),tc_set(tc_prod(tc_nat,tc_nat))),tc_prod(tc_nat,tc_nat))) != c_Finite__Set_Ocard(c_insert(c_Pair(v_i,v_j,tc_nat,tc_nat),c_minus(c_Mutil_Ocoloured(c_0),c_uminus(v_t,tc_set(tc_prod(tc_nat,tc_nat))),tc_set(tc_prod(tc_nat,tc_nat))),tc_prod(tc_nat,tc_nat)),tc_prod(tc_nat,tc_nat))
    | c_in(c_Pair(v_m,v_n,tc_nat,tc_nat),c_minus(c_Mutil_Ocoloured(c_1),c_uminus(v_t,tc_set(tc_prod(tc_nat,tc_nat))),tc_set(tc_prod(tc_nat,tc_nat))),tc_prod(tc_nat,tc_nat))
    | ~ c_in(c_minus(c_Mutil_Ocoloured(c_1),c_uminus(v_t,tc_set(tc_prod(tc_nat,tc_nat))),tc_set(tc_prod(tc_nat,tc_nat))),c_Finite__Set_OFinites,tc_set(tc_prod(tc_nat,tc_nat))) ),
    inference(forward_demodulation,[],[f2898,f2783]) ).

fof(f2783,plain,
    c_Finite__Set_Ocard(c_minus(c_Mutil_Ocoloured(c_0),c_uminus(v_t,tc_set(tc_prod(tc_nat,tc_nat))),tc_set(tc_prod(tc_nat,tc_nat))),tc_prod(tc_nat,tc_nat)) = c_Finite__Set_Ocard(c_minus(c_Mutil_Ocoloured(c_1),c_uminus(v_t,tc_set(tc_prod(tc_nat,tc_nat))),tc_set(tc_prod(tc_nat,tc_nat))),tc_prod(tc_nat,tc_nat)),
    inference(forward_demodulation,[],[f2759,f857]) ).

fof(f2759,plain,
    c_Finite__Set_Ocard(c_minus(c_Mutil_Ocoloured(c_Suc(c_0)),c_uminus(v_t,tc_set(tc_prod(tc_nat,tc_nat))),tc_set(tc_prod(tc_nat,tc_nat))),tc_prod(tc_nat,tc_nat)) = c_Finite__Set_Ocard(c_minus(c_Mutil_Ocoloured(c_0),c_uminus(v_t,tc_set(tc_prod(tc_nat,tc_nat))),tc_set(tc_prod(tc_nat,tc_nat))),tc_prod(tc_nat,tc_nat)),
    inference(definition_unfolding,[],[f2740,f1427,f1427]) ).

fof(f2740,axiom,
    c_Finite__Set_Ocard(c_inter(c_Mutil_Ocoloured(c_0),v_t,tc_prod(tc_nat,tc_nat)),tc_prod(tc_nat,tc_nat)) = c_Finite__Set_Ocard(c_inter(c_Mutil_Ocoloured(c_Suc(c_0)),v_t,tc_prod(tc_nat,tc_nat)),tc_prod(tc_nat,tc_nat)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).

fof(f2898,plain,
    ( c_in(c_Pair(v_m,v_n,tc_nat,tc_nat),c_minus(c_Mutil_Ocoloured(c_1),c_uminus(v_t,tc_set(tc_prod(tc_nat,tc_nat))),tc_set(tc_prod(tc_nat,tc_nat))),tc_prod(tc_nat,tc_nat))
    | c_Finite__Set_Ocard(c_insert(c_Pair(v_i,v_j,tc_nat,tc_nat),c_minus(c_Mutil_Ocoloured(c_0),c_uminus(v_t,tc_set(tc_prod(tc_nat,tc_nat))),tc_set(tc_prod(tc_nat,tc_nat))),tc_prod(tc_nat,tc_nat)),tc_prod(tc_nat,tc_nat)) != c_Suc(c_Finite__Set_Ocard(c_minus(c_Mutil_Ocoloured(c_1),c_uminus(v_t,tc_set(tc_prod(tc_nat,tc_nat))),tc_set(tc_prod(tc_nat,tc_nat))),tc_prod(tc_nat,tc_nat)))
    | ~ c_in(c_minus(c_Mutil_Ocoloured(c_1),c_uminus(v_t,tc_set(tc_prod(tc_nat,tc_nat))),tc_set(tc_prod(tc_nat,tc_nat))),c_Finite__Set_OFinites,tc_set(tc_prod(tc_nat,tc_nat))) ),
    inference(superposition,[],[f2782,f121]) ).

fof(f2782,plain,
    c_Finite__Set_Ocard(c_insert(c_Pair(v_i,v_j,tc_nat,tc_nat),c_minus(c_Mutil_Ocoloured(c_0),c_uminus(v_t,tc_set(tc_prod(tc_nat,tc_nat))),tc_set(tc_prod(tc_nat,tc_nat))),tc_prod(tc_nat,tc_nat)),tc_prod(tc_nat,tc_nat)) != c_Finite__Set_Ocard(c_insert(c_Pair(v_m,v_n,tc_nat,tc_nat),c_minus(c_Mutil_Ocoloured(c_1),c_uminus(v_t,tc_set(tc_prod(tc_nat,tc_nat))),tc_set(tc_prod(tc_nat,tc_nat))),tc_prod(tc_nat,tc_nat)),tc_prod(tc_nat,tc_nat)),
    inference(forward_demodulation,[],[f2761,f857]) ).

fof(f2761,plain,
    c_Finite__Set_Ocard(c_insert(c_Pair(v_i,v_j,tc_nat,tc_nat),c_minus(c_Mutil_Ocoloured(c_0),c_uminus(v_t,tc_set(tc_prod(tc_nat,tc_nat))),tc_set(tc_prod(tc_nat,tc_nat))),tc_prod(tc_nat,tc_nat)),tc_prod(tc_nat,tc_nat)) != c_Finite__Set_Ocard(c_insert(c_Pair(v_m,v_n,tc_nat,tc_nat),c_minus(c_Mutil_Ocoloured(c_Suc(c_0)),c_uminus(v_t,tc_set(tc_prod(tc_nat,tc_nat))),tc_set(tc_prod(tc_nat,tc_nat))),tc_prod(tc_nat,tc_nat)),tc_prod(tc_nat,tc_nat)),
    inference(definition_unfolding,[],[f2744,f1427,f1427]) ).

fof(f2744,axiom,
    c_Finite__Set_Ocard(c_insert(c_Pair(v_i,v_j,tc_nat,tc_nat),c_inter(c_Mutil_Ocoloured(c_0),v_t,tc_prod(tc_nat,tc_nat)),tc_prod(tc_nat,tc_nat)),tc_prod(tc_nat,tc_nat)) != c_Finite__Set_Ocard(c_insert(c_Pair(v_m,v_n,tc_nat,tc_nat),c_inter(c_Mutil_Ocoloured(c_Suc(c_0)),v_t,tc_prod(tc_nat,tc_nat)),tc_prod(tc_nat,tc_nat)),tc_prod(tc_nat,tc_nat)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_5) ).

fof(f2926,plain,
    ( ~ spl0_3
    | spl0_8 ),
    inference(avatar_split_clause,[],[f2924,f2882,f2819]) ).

fof(f2924,plain,
    ( ~ c_in(v_t,c_Finite__Set_OFinites,tc_set(tc_prod(tc_nat,tc_nat)))
    | spl0_8 ),
    inference(resolution,[],[f2884,f2758]) ).

fof(f2884,plain,
    ( ~ c_in(c_minus(c_Mutil_Ocoloured(c_1),c_uminus(v_t,tc_set(tc_prod(tc_nat,tc_nat))),tc_set(tc_prod(tc_nat,tc_nat))),c_Finite__Set_OFinites,tc_set(tc_prod(tc_nat,tc_nat)))
    | spl0_8 ),
    inference(avatar_component_clause,[],[f2882]) ).

fof(f2878,plain,
    spl0_3,
    inference(avatar_contradiction_clause,[],[f2876]) ).

fof(f2876,plain,
    ( $false
    | spl0_3 ),
    inference(resolution,[],[f2821,f2785]) ).

fof(f2785,plain,
    c_in(v_t,c_Finite__Set_OFinites,tc_set(tc_prod(tc_nat,tc_nat))),
    inference(resolution,[],[f2739,f2736]) ).

fof(f2736,axiom,
    ! [X68] :
      ( ~ c_in(X68,c_Mutil_Otiling(c_Mutil_Odomino,tc_prod(tc_nat,tc_nat)),tc_set(tc_prod(tc_nat,tc_nat)))
      | c_in(X68,c_Finite__Set_OFinites,tc_set(tc_prod(tc_nat,tc_nat))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Mutil_Otiling__domino__finite_0) ).

fof(f2739,axiom,
    c_in(v_t,c_Mutil_Otiling(c_Mutil_Odomino,tc_prod(tc_nat,tc_nat)),tc_set(tc_prod(tc_nat,tc_nat))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

fof(f2821,plain,
    ( ~ c_in(v_t,c_Finite__Set_OFinites,tc_set(tc_prod(tc_nat,tc_nat)))
    | spl0_3 ),
    inference(avatar_component_clause,[],[f2819]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : PUZ062-1 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34  % Computer : n023.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 11:07:20 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.56  % (31170)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 0.20/0.56  % (31162)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/29Mi)
% 0.20/0.57  % (31154)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.20/0.60  % (31162)Instruction limit reached!
% 0.20/0.60  % (31162)------------------------------
% 0.20/0.60  % (31162)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.60  % (31162)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.60  % (31162)Termination reason: Unknown
% 0.20/0.60  % (31162)Termination phase: Blocked clause elimination
% 0.20/0.60  
% 0.20/0.60  % (31162)Memory used [KB]: 4221
% 0.20/0.60  % (31162)Time elapsed: 0.031 s
% 0.20/0.60  % (31162)Instructions burned: 29 (million)
% 0.20/0.60  % (31162)------------------------------
% 0.20/0.60  % (31162)------------------------------
% 0.20/0.62  % (31160)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=5:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.20/0.62  % (31160)Instruction limit reached!
% 0.20/0.62  % (31160)------------------------------
% 0.20/0.62  % (31160)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.62  % (31154)Instruction limit reached!
% 0.20/0.62  % (31154)------------------------------
% 0.20/0.62  % (31154)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.62  % (31154)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.62  % (31154)Termination reason: Unknown
% 0.20/0.62  % (31154)Termination phase: Property scanning
% 0.20/0.62  
% 0.20/0.62  % (31154)Memory used [KB]: 3837
% 0.20/0.62  % (31154)Time elapsed: 0.044 s
% 0.20/0.62  % (31154)Instructions burned: 49 (million)
% 0.20/0.62  % (31154)------------------------------
% 0.20/0.62  % (31154)------------------------------
% 0.20/0.62  % (31152)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.20/0.63  % (31169)lrs+1010_1:1_bd=off:fsr=off:sd=1:sos=on:ss=axioms:i=67:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/67Mi)
% 0.20/0.63  % (31171)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.63  % (31151)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.20/0.63  % (31150)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.20/0.63  % (31148)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.20/0.63  % (31153)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.20/0.63  % (31177)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.63  % (31160)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.63  % (31160)Termination reason: Unknown
% 0.20/0.63  % (31160)Termination phase: shuffling
% 0.20/0.63  
% 0.20/0.63  % (31160)Memory used [KB]: 3709
% 0.20/0.63  % (31160)Time elapsed: 0.007 s
% 0.20/0.63  % (31160)Instructions burned: 5 (million)
% 0.20/0.63  % (31160)------------------------------
% 0.20/0.63  % (31160)------------------------------
% 0.20/0.63  % (31175)lrs+10_1:1_av=off:sd=2:sos=on:sp=reverse_arity:ss=axioms:to=lpo:i=73:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/73Mi)
% 0.20/0.64  % (31165)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.20/0.64  % (31166)lrs+1003_1:1024_add=large:afr=on:cond=fast:fsr=off:gs=on:sos=on:sp=reverse_arity:i=28:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/28Mi)
% 0.20/0.64  % (31168)lrs+10_1:7_av=off:awrs=converge:awrsf=40:br=off:bsd=on:cond=on:drc=off:nwc=3.0:plsq=on:plsqc=1:s2a=on:s2agt=16:to=lpo:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.20/0.64  % (31167)lrs+1011_1:1_afp=100000:afr=on:amm=sco:bd=preordered:cond=fast:newcnf=on:nm=4:sos=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.64  % (31155)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.64  % (31157)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.64  % (31158)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.20/0.65  % (31159)dis+4_1:1_bd=off:cond=fast:fde=unused:lcm=reverse:lma=on:nicw=on:nwc=2.0:s2a=on:s2agt=16:sac=on:sp=frequency:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/23Mi)
% 0.20/0.65  % (31161)lrs+30_1:12_av=off:bs=unit_only:fsd=on:gs=on:lwlo=on:newcnf=on:slsq=on:slsqr=1,2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.65  % (31174)lrs+3_8:1_anc=none:erd=off:fsd=on:s2a=on:s2agt=16:sgt=16:sos=on:sp=frequency:ss=included:i=71:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/71Mi)
% 0.20/0.65  % (31173)lrs+1010_1:16_acc=on:anc=all:avsq=on:awrs=converge:s2a=on:sac=on:sos=on:ss=axioms:i=81:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/81Mi)
% 0.20/0.65  % (31149)dis+21_1:1_av=off:fd=off:lcm=predicate:sos=on:spb=goal:urr=ec_only:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 0.20/0.65  % (31163)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.20/0.65  % (31161)Instruction limit reached!
% 0.20/0.65  % (31161)------------------------------
% 0.20/0.65  % (31161)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.65  % (31161)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.65  % (31161)Termination reason: Unknown
% 0.20/0.65  % (31161)Termination phase: SInE selection
% 0.20/0.65  
% 0.20/0.65  % (31161)Memory used [KB]: 3454
% 0.20/0.65  % (31161)Time elapsed: 0.004 s
% 0.20/0.65  % (31161)Instructions burned: 4 (million)
% 0.20/0.65  % (31161)------------------------------
% 0.20/0.65  % (31161)------------------------------
% 0.20/0.65  % (31176)lrs+10_1:1_sos=all:ss=axioms:st=1.5:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 0.20/0.65  % (31150)Instruction limit reached!
% 0.20/0.65  % (31150)------------------------------
% 0.20/0.65  % (31150)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.65  % (31150)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.65  % (31150)Termination reason: Unknown
% 0.20/0.65  % (31150)Termination phase: Unused predicate definition removal
% 0.20/0.65  
% 0.20/0.65  % (31150)Memory used [KB]: 3582
% 0.20/0.65  % (31150)Time elapsed: 0.005 s
% 0.20/0.65  % (31150)Instructions burned: 4 (million)
% 0.20/0.65  % (31150)------------------------------
% 0.20/0.65  % (31150)------------------------------
% 0.20/0.65  % (31163)Instruction limit reached!
% 0.20/0.65  % (31163)------------------------------
% 0.20/0.65  % (31163)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.65  % (31163)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.65  % (31163)Termination reason: Unknown
% 0.20/0.65  % (31163)Termination phase: Function definition elimination
% 0.20/0.65  
% 0.20/0.65  % (31163)Memory used [KB]: 3709
% 0.20/0.65  % (31163)Time elapsed: 0.007 s
% 0.20/0.65  % (31163)Instructions burned: 7 (million)
% 0.20/0.65  % (31163)------------------------------
% 0.20/0.65  % (31163)------------------------------
% 0.20/0.66  % (31165)Instruction limit reached!
% 0.20/0.66  % (31165)------------------------------
% 0.20/0.66  % (31165)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.66  % (31165)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.66  % (31165)Termination reason: Unknown
% 0.20/0.66  % (31165)Termination phase: Function definition elimination
% 0.20/0.66  
% 0.20/0.66  % (31165)Memory used [KB]: 3709
% 0.20/0.66  % (31165)Time elapsed: 0.008 s
% 0.20/0.66  % (31165)Instructions burned: 9 (million)
% 0.20/0.66  % (31165)------------------------------
% 0.20/0.66  % (31165)------------------------------
% 0.20/0.66  % (31156)lrs+1011_1:1_atotf=0.0306256:ep=RST:mep=off:nm=0:sos=all:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.66  % (31156)Instruction limit reached!
% 0.20/0.66  % (31156)------------------------------
% 0.20/0.66  % (31156)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.66  % (31156)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.66  % (31156)Termination reason: Unknown
% 0.20/0.66  % (31156)Termination phase: shuffling
% 0.20/0.66  
% 0.20/0.66  % (31156)Memory used [KB]: 3454
% 0.20/0.66  % (31156)Time elapsed: 0.004 s
% 0.20/0.66  % (31156)Instructions burned: 3 (million)
% 0.20/0.66  % (31156)------------------------------
% 0.20/0.66  % (31156)------------------------------
% 0.20/0.66  % (31153)Instruction limit reached!
% 0.20/0.66  % (31153)------------------------------
% 0.20/0.66  % (31153)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.66  % (31153)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.66  % (31153)Termination reason: Unknown
% 0.20/0.66  % (31153)Termination phase: Property scanning
% 0.20/0.66  
% 0.20/0.66  % (31153)Memory used [KB]: 3837
% 0.20/0.66  % (31153)Time elapsed: 0.014 s
% 0.20/0.66  % (31153)Instructions burned: 25 (million)
% 0.20/0.66  % (31153)------------------------------
% 0.20/0.66  % (31153)------------------------------
% 0.20/0.66  % (31168)Instruction limit reached!
% 0.20/0.66  % (31168)------------------------------
% 0.20/0.66  % (31168)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.66  % (31168)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.66  % (31168)Termination reason: Unknown
% 0.20/0.66  % (31168)Termination phase: SInE selection
% 0.20/0.66  
% 0.20/0.66  % (31168)Memory used [KB]: 3454
% 0.20/0.66  % (31168)Time elapsed: 0.007 s
% 0.20/0.66  % (31168)Instructions burned: 7 (million)
% 0.20/0.66  % (31168)------------------------------
% 0.20/0.66  % (31168)------------------------------
% 0.20/0.67  % (31164)lrs+1_1:1_aac=none:add=large:anc=all_dependent:cond=fast:ep=RST:fsr=off:lma=on:nm=2:sos=on:sp=reverse_arity:stl=30:uhcvi=on:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.67  % (31164)Instruction limit reached!
% 0.20/0.67  % (31164)------------------------------
% 0.20/0.67  % (31164)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.67  % (31167)Instruction limit reached!
% 0.20/0.67  % (31167)------------------------------
% 0.20/0.67  % (31167)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.67  % (31164)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.67  % (31167)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.67  % (31164)Termination reason: Unknown
% 0.20/0.67  % (31167)Termination reason: Unknown
% 0.20/0.67  % (31164)Termination phase: shuffling
% 0.20/0.67  
% 0.20/0.67  % (31167)Termination phase: Function definition elimination
% 0.20/0.67  
% 0.20/0.67  % (31164)Memory used [KB]: 3326
% 0.20/0.67  % (31164)Time elapsed: 0.002 s
% 0.20/0.67  % (31167)Memory used [KB]: 3709
% 0.20/0.67  % (31164)Instructions burned: 2 (million)
% 0.20/0.67  % (31167)Time elapsed: 0.007 s
% 0.20/0.67  % (31164)------------------------------
% 0.20/0.67  % (31164)------------------------------
% 0.20/0.67  % (31167)Instructions burned: 7 (million)
% 0.20/0.67  % (31167)------------------------------
% 0.20/0.67  % (31167)------------------------------
% 0.20/0.67  % (31172)dis+10_1:1_add=large:alpa=false:anc=none:fd=off:lcm=reverse:nwc=5.0:sd=2:sgt=20:ss=included:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 0.20/0.67  % (31158)Instruction limit reached!
% 0.20/0.67  % (31158)------------------------------
% 0.20/0.67  % (31158)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.67  % (31158)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.67  % (31158)Termination reason: Unknown
% 0.20/0.67  % (31158)Termination phase: SInE selection
% 0.20/0.67  
% 0.20/0.67  % (31158)Memory used [KB]: 3454
% 0.20/0.67  % (31158)Time elapsed: 0.005 s
% 0.20/0.67  % (31158)Instructions burned: 6 (million)
% 0.20/0.67  % (31158)------------------------------
% 0.20/0.67  % (31158)------------------------------
% 0.20/0.68  % (31176)Instruction limit reached!
% 0.20/0.68  % (31176)------------------------------
% 0.20/0.68  % (31176)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.68  % (31176)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.68  % (31176)Termination reason: Unknown
% 0.20/0.68  % (31176)Termination phase: Property scanning
% 0.20/0.68  
% 0.20/0.68  % (31176)Memory used [KB]: 3709
% 0.20/0.68  % (31176)Time elapsed: 0.015 s
% 0.20/0.68  % (31176)Instructions burned: 21 (million)
% 0.20/0.68  % (31176)------------------------------
% 0.20/0.68  % (31176)------------------------------
% 0.20/0.68  % (31171)Instruction limit reached!
% 0.20/0.68  % (31171)------------------------------
% 0.20/0.68  % (31171)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.68  % (31171)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.68  % (31171)Termination reason: Unknown
% 0.20/0.68  % (31171)Termination phase: Property scanning
% 0.20/0.68  
% 0.20/0.68  % (31171)Memory used [KB]: 4093
% 0.20/0.68  % (31171)Time elapsed: 0.022 s
% 0.20/0.68  % (31171)Instructions burned: 39 (million)
% 0.20/0.68  % (31171)------------------------------
% 0.20/0.68  % (31171)------------------------------
% 0.20/0.68  % (31166)Instruction limit reached!
% 0.20/0.68  % (31166)------------------------------
% 0.20/0.68  % (31166)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.68  % (31166)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.68  % (31166)Termination reason: Unknown
% 0.20/0.68  % (31166)Termination phase: Property scanning
% 0.20/0.68  
% 0.20/0.68  % (31166)Memory used [KB]: 3837
% 0.20/0.68  % (31166)Time elapsed: 0.017 s
% 0.20/0.68  % (31166)Instructions burned: 29 (million)
% 0.20/0.68  % (31166)------------------------------
% 0.20/0.68  % (31166)------------------------------
% 0.20/0.70  % (31159)Instruction limit reached!
% 0.20/0.70  % (31159)------------------------------
% 0.20/0.70  % (31159)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.70  % (31159)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.70  % (31159)Termination reason: Unknown
% 0.20/0.70  % (31159)Termination phase: Property scanning
% 0.20/0.70  
% 0.20/0.70  % (31159)Memory used [KB]: 3709
% 0.20/0.70  % (31159)Time elapsed: 0.015 s
% 0.20/0.70  % (31159)Instructions burned: 24 (million)
% 0.20/0.70  % (31159)------------------------------
% 0.20/0.70  % (31159)------------------------------
% 0.20/0.70  % (31152)Instruction limit reached!
% 0.20/0.70  % (31152)------------------------------
% 0.20/0.70  % (31152)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.70  % (31152)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.70  % (31152)Termination reason: Unknown
% 0.20/0.70  % (31152)Termination phase: Saturation
% 0.20/0.70  
% 0.20/0.70  % (31152)Memory used [KB]: 8699
% 0.20/0.70  % (31152)Time elapsed: 0.167 s
% 0.20/0.70  % (31152)Instructions burned: 34 (million)
% 0.20/0.70  % (31152)------------------------------
% 0.20/0.70  % (31152)------------------------------
% 0.20/0.70  % (31151)Instruction limit reached!
% 0.20/0.70  % (31151)------------------------------
% 0.20/0.70  % (31151)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.72  % (31151)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.72  % (31151)Termination reason: Unknown
% 0.20/0.72  % (31151)Termination phase: Saturation
% 0.20/0.72  
% 0.20/0.72  % (31155)Instruction limit reached!
% 0.20/0.72  % (31155)------------------------------
% 0.20/0.72  % (31155)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.72  % (31155)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.72  % (31155)Termination reason: Unknown
% 0.20/0.72  % (31155)Termination phase: Saturation
% 0.20/0.72  
% 0.20/0.72  % (31155)Memory used [KB]: 8827
% 0.20/0.72  % (31155)Time elapsed: 0.222 s
% 0.20/0.72  % (31155)Instructions burned: 51 (million)
% 0.20/0.72  % (31155)------------------------------
% 0.20/0.72  % (31155)------------------------------
% 0.20/0.72  % (31151)Memory used [KB]: 8571
% 0.20/0.72  % (31151)Time elapsed: 0.193 s
% 0.20/0.72  % (31151)Instructions burned: 43 (million)
% 0.20/0.72  % (31151)------------------------------
% 0.20/0.72  % (31151)------------------------------
% 0.20/0.72  % (31170)Instruction limit reached!
% 0.20/0.72  % (31170)------------------------------
% 0.20/0.72  % (31170)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.72  % (31170)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.72  % (31170)Termination reason: Unknown
% 0.20/0.72  % (31170)Termination phase: Saturation
% 0.20/0.72  
% 0.20/0.72  % (31170)Memory used [KB]: 9722
% 0.20/0.72  % (31170)Time elapsed: 0.186 s
% 0.20/0.72  % (31170)Instructions burned: 98 (million)
% 0.20/0.72  % (31170)------------------------------
% 0.20/0.72  % (31170)------------------------------
% 0.20/0.73  % (31157)Instruction limit reached!
% 0.20/0.73  % (31157)------------------------------
% 0.20/0.73  % (31157)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.73  % (31169)First to succeed.
% 0.20/0.73  % (31149)Instruction limit reached!
% 0.20/0.73  % (31149)------------------------------
% 0.20/0.73  % (31149)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.73  % (31149)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.73  % (31149)Termination reason: Unknown
% 0.20/0.73  % (31149)Termination phase: Saturation
% 0.20/0.73  
% 0.20/0.73  % (31149)Memory used [KB]: 4349
% 0.20/0.73  % (31149)Time elapsed: 0.023 s
% 0.20/0.73  % (31149)Instructions burned: 42 (million)
% 0.20/0.73  % (31149)------------------------------
% 0.20/0.73  % (31149)------------------------------
% 0.20/0.74  % (31169)Refutation found. Thanks to Tanya!
% 0.20/0.74  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.74  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.74  % (31169)------------------------------
% 0.20/0.74  % (31169)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.74  % (31169)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.74  % (31169)Termination reason: Refutation
% 0.20/0.74  
% 0.20/0.74  % (31169)Memory used [KB]: 8827
% 0.20/0.74  % (31169)Time elapsed: 0.214 s
% 0.20/0.74  % (31169)Instructions burned: 61 (million)
% 0.20/0.74  % (31169)------------------------------
% 0.20/0.74  % (31169)------------------------------
% 0.20/0.74  % (31147)Success in time 0.391 s
%------------------------------------------------------------------------------