TSTP Solution File: DAT039_1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : DAT039_1 : TPTP v8.1.0. Released v5.0.0.
% 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 : n028.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 16:03:58 EDT 2022

% Result   : Theorem 0.20s 0.55s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   28
%            Number of leaves      :   19
% Syntax   : Number of formulae    :  100 (  24 unt;   8 typ;   0 def)
%            Number of atoms       :  236 (  94 equ)
%            Maximal formula atoms :   10 (   2 avg)
%            Number of connectives :  218 (  74   ~;  73   |;  51   &)
%                                         (  13 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number arithmetic     :  225 (  12 atm;  22 fun; 127 num;  64 var)
%            Number of types       :    3 (   1 usr;   1 ari)
%            Number of type conns  :    7 (   4   >;   3   *;   0   +;   0  <<)
%            Number of predicates  :    7 (   3 usr;   3 prp; 0-2 aty)
%            Number of functors    :   14 (   6 usr;   8 con; 0-2 aty)
%            Number of variables   :  110 ( 104   !;   6   ?; 110   :)

% Comments : 
%------------------------------------------------------------------------------
tff(type_def_5,type,
    collection: $tType ).

tff(func_def_0,type,
    empty: collection ).

tff(func_def_1,type,
    add: ( $int * collection ) > collection ).

tff(func_def_2,type,
    remove: ( $int * collection ) > collection ).

tff(func_def_3,type,
    count: collection > $int ).

tff(func_def_11,type,
    sK0: $int ).

tff(func_def_12,type,
    sK1: collection ).

tff(pred_def_1,type,
    in: ( $int * collection ) > $o ).

tff(f453,plain,
    $false,
    inference(avatar_sat_refutation,[],[f325,f332,f452]) ).

tff(f452,plain,
    ~ spl2_1,
    inference(avatar_contradiction_clause,[],[f451]) ).

tff(f451,plain,
    ( $false
    | ~ spl2_1 ),
    inference(evaluation,[],[f442]) ).

tff(f442,plain,
    ( $less(3,2)
    | ~ spl2_1 ),
    inference(backward_demodulation,[],[f68,f436]) ).

tff(f436,plain,
    ( ( 2 = sK0 )
    | ~ spl2_1 ),
    inference(resolution,[],[f409,f382]) ).

tff(f382,plain,
    ( ~ in(sK0,remove(3,sK1))
    | ~ spl2_1 ),
    inference(subsumption_resolution,[],[f379,f268]) ).

tff(f268,plain,
    1 = count(remove(3,sK1)),
    inference(evaluation,[],[f267]) ).

tff(f267,plain,
    count(remove(3,sK1)) = $sum(2,-1),
    inference(forward_demodulation,[],[f262,f67]) ).

tff(f67,plain,
    2 = count(sK1),
    inference(cnf_transformation,[],[f45]) ).

tff(f45,plain,
    ( $less(3,sK0)
    & ( 2 = count(sK1) )
    & in(3,sK1)
    & in(2,sK1)
    & in(sK0,sK1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f31,f44]) ).

tff(f44,plain,
    ( ? [X0: $int,X1: collection] :
        ( $less(3,X0)
        & ( 2 = count(X1) )
        & in(3,X1)
        & in(2,X1)
        & in(X0,X1) )
   => ( $less(3,sK0)
      & ( 2 = count(sK1) )
      & in(3,sK1)
      & in(2,sK1)
      & in(sK0,sK1) ) ),
    introduced(choice_axiom,[]) ).

tff(f31,plain,
    ? [X0: $int,X1: collection] :
      ( $less(3,X0)
      & ( 2 = count(X1) )
      & in(3,X1)
      & in(2,X1)
      & in(X0,X1) ),
    inference(flattening,[],[f30]) ).

tff(f30,plain,
    ? [X0: $int,X1: collection] :
      ( in(X0,X1)
      & in(2,X1)
      & $less(3,X0)
      & ( 2 = count(X1) )
      & in(3,X1) ),
    inference(ennf_transformation,[],[f26]) ).

tff(f26,plain,
    ~ ! [X0: $int,X1: collection] :
        ( ( in(2,X1)
          & $less(3,X0)
          & ( 2 = count(X1) )
          & in(3,X1) )
       => ~ in(X0,X1) ),
    inference(rectify,[],[f16]) ).

tff(f16,plain,
    ~ ! [X1: $int,X0: collection] :
        ( ( in(3,X0)
          & in(2,X0)
          & $less(3,X1)
          & ( 2 = count(X0) ) )
       => ~ in(X1,X0) ),
    inference(theory_normalization,[],[f14]) ).

tff(f14,negated_conjecture,
    ~ ! [X1: $int,X0: collection] :
        ( ( in(3,X0)
          & in(2,X0)
          & $greater(X1,3)
          & ( 2 = count(X0) ) )
       => ~ in(X1,X0) ),
    inference(negated_conjecture,[],[f13]) ).

tff(f13,conjecture,
    ! [X1: $int,X0: collection] :
      ( ( in(3,X0)
        & in(2,X0)
        & $greater(X1,3)
        & ( 2 = count(X0) ) )
     => ~ in(X1,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

tff(f262,plain,
    count(remove(3,sK1)) = $sum(count(sK1),-1),
    inference(resolution,[],[f100,f83]) ).

tff(f83,plain,
    ~ in(3,sK1),
    inference(consistent_polarity_flipping,[],[f66]) ).

tff(f66,plain,
    in(3,sK1),
    inference(cnf_transformation,[],[f45]) ).

tff(f100,plain,
    ! [X0: $int,X1: collection] :
      ( in(X0,X1)
      | ( count(remove(X0,X1)) = $sum(count(X1),-1) ) ),
    inference(evaluation,[],[f97]) ).

tff(f97,plain,
    ! [X0: $int,X1: collection] :
      ( in(X0,X1)
      | ( count(remove(X0,X1)) = $sum(count(X1),$uminus(1)) ) ),
    inference(consistent_polarity_flipping,[],[f59]) ).

tff(f59,plain,
    ! [X0: $int,X1: collection] :
      ( ( count(remove(X0,X1)) = $sum(count(X1),$uminus(1)) )
      | ~ in(X0,X1) ),
    inference(cnf_transformation,[],[f42]) ).

tff(f42,plain,
    ! [X0: $int,X1: collection] :
      ( ( in(X0,X1)
        | ( count(remove(X0,X1)) != $sum(count(X1),$uminus(1)) ) )
      & ( ( count(remove(X0,X1)) = $sum(count(X1),$uminus(1)) )
        | ~ in(X0,X1) ) ),
    inference(rectify,[],[f41]) ).

tff(f41,plain,
    ! [X1: $int,X0: collection] :
      ( ( in(X1,X0)
        | ( count(remove(X1,X0)) != $sum(count(X0),$uminus(1)) ) )
      & ( ( count(remove(X1,X0)) = $sum(count(X0),$uminus(1)) )
        | ~ in(X1,X0) ) ),
    inference(nnf_transformation,[],[f20]) ).

tff(f20,plain,
    ! [X1: $int,X0: collection] :
      ( in(X1,X0)
    <=> ( count(remove(X1,X0)) = $sum(count(X0),$uminus(1)) ) ),
    inference(rectify,[],[f15]) ).

tff(f15,plain,
    ! [X18: collection,X17: $int] :
      ( in(X17,X18)
    <=> ( count(remove(X17,X18)) = $sum(count(X18),$uminus(1)) ) ),
    inference(theory_normalization,[],[f10]) ).

tff(f10,axiom,
    ! [X18: collection,X17: $int] :
      ( in(X17,X18)
    <=> ( count(remove(X17,X18)) = $difference(count(X18),1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).

tff(f379,plain,
    ( ( 1 != count(remove(3,sK1)) )
    | ~ in(sK0,remove(3,sK1))
    | ~ spl2_1 ),
    inference(superposition,[],[f79,f310]) ).

tff(f310,plain,
    ( ( 1 = count(add(sK0,remove(3,sK1))) )
    | ~ spl2_1 ),
    inference(avatar_component_clause,[],[f308]) ).

tff(f308,plain,
    ( spl2_1
  <=> ( 1 = count(add(sK0,remove(3,sK1))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).

tff(f79,plain,
    ! [X0: collection,X1: $int] :
      ( ( count(X0) != count(add(X1,X0)) )
      | ~ in(X1,X0) ),
    inference(consistent_polarity_flipping,[],[f74]) ).

tff(f74,plain,
    ! [X0: collection,X1: $int] :
      ( in(X1,X0)
      | ( count(X0) != count(add(X1,X0)) ) ),
    inference(cnf_transformation,[],[f49]) ).

tff(f49,plain,
    ! [X0: collection,X1: $int] :
      ( ( ( count(X0) = count(add(X1,X0)) )
        | ~ in(X1,X0) )
      & ( in(X1,X0)
        | ( count(X0) != count(add(X1,X0)) ) ) ),
    inference(rectify,[],[f48]) ).

tff(f48,plain,
    ! [X1: collection,X0: $int] :
      ( ( ( count(X1) = count(add(X0,X1)) )
        | ~ in(X0,X1) )
      & ( in(X0,X1)
        | ( count(X1) != count(add(X0,X1)) ) ) ),
    inference(nnf_transformation,[],[f24]) ).

tff(f24,plain,
    ! [X1: collection,X0: $int] :
      ( ( count(X1) = count(add(X0,X1)) )
    <=> in(X0,X1) ),
    inference(rectify,[],[f9]) ).

tff(f9,axiom,
    ! [X15: $int,X16: collection] :
      ( in(X15,X16)
    <=> ( count(add(X15,X16)) = count(X16) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).

tff(f409,plain,
    ! [X0: $int] :
      ( in(X0,remove(3,sK1))
      | ( 2 = X0 ) ),
    inference(subsumption_resolution,[],[f402,f81]) ).

tff(f81,plain,
    ! [X0: $int] : in(X0,empty),
    inference(consistent_polarity_flipping,[],[f53]) ).

tff(f53,plain,
    ! [X0: $int] : ~ in(X0,empty),
    inference(cnf_transformation,[],[f1]) ).

tff(f1,axiom,
    ! [X0: $int] : ~ in(X0,empty),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).

tff(f402,plain,
    ! [X0: $int] :
      ( in(X0,remove(3,sK1))
      | ~ in(X0,empty)
      | ( 2 = X0 ) ),
    inference(superposition,[],[f94,f396]) ).

tff(f396,plain,
    empty = remove(2,remove(3,sK1)),
    inference(trivial_inequality_removal,[],[f394]) ).

tff(f394,plain,
    ( ( 0 != 0 )
    | ( empty = remove(2,remove(3,sK1)) ) ),
    inference(superposition,[],[f70,f375]) ).

tff(f375,plain,
    0 = count(remove(2,remove(3,sK1))),
    inference(evaluation,[],[f374]) ).

tff(f374,plain,
    count(remove(2,remove(3,sK1))) = $sum(1,-1),
    inference(forward_demodulation,[],[f371,f268]) ).

tff(f371,plain,
    count(remove(2,remove(3,sK1))) = $sum(count(remove(3,sK1)),-1),
    inference(resolution,[],[f369,f100]) ).

tff(f369,plain,
    ~ in(2,remove(3,sK1)),
    inference(subsumption_resolution,[],[f365,f268]) ).

tff(f365,plain,
    ( ( 1 != count(remove(3,sK1)) )
    | ~ in(2,remove(3,sK1)) ),
    inference(superposition,[],[f79,f305]) ).

tff(f305,plain,
    1 = count(add(2,remove(3,sK1))),
    inference(evaluation,[],[f302]) ).

tff(f302,plain,
    ( ( 1 = count(add(2,remove(3,sK1))) )
    | ( 2 = 3 ) ),
    inference(resolution,[],[f299,f98]) ).

tff(f98,plain,
    ~ in(2,sK1),
    inference(consistent_polarity_flipping,[],[f65]) ).

tff(f65,plain,
    in(2,sK1),
    inference(cnf_transformation,[],[f45]) ).

tff(f299,plain,
    ! [X1: $int] :
      ( in(X1,sK1)
      | ( 3 = X1 )
      | ( 1 = count(add(X1,remove(3,sK1))) ) ),
    inference(forward_demodulation,[],[f166,f268]) ).

tff(f166,plain,
    ! [X1: $int] :
      ( in(X1,sK1)
      | ( count(add(X1,remove(3,sK1))) = count(remove(3,sK1)) )
      | ( 3 = X1 ) ),
    inference(resolution,[],[f161,f86]) ).

tff(f86,plain,
    ! [X0: collection,X1: $int] :
      ( in(X1,X0)
      | ( count(X0) = count(add(X1,X0)) ) ),
    inference(consistent_polarity_flipping,[],[f75]) ).

tff(f75,plain,
    ! [X0: collection,X1: $int] :
      ( ( count(X0) = count(add(X1,X0)) )
      | ~ in(X1,X0) ),
    inference(cnf_transformation,[],[f49]) ).

tff(f161,plain,
    ! [X0: $int] :
      ( ~ in(X0,remove(3,sK1))
      | in(X0,sK1)
      | ( 3 = X0 ) ),
    inference(superposition,[],[f92,f106]) ).

tff(f106,plain,
    add(3,remove(3,sK1)) = sK1,
    inference(resolution,[],[f80,f83]) ).

tff(f80,plain,
    ! [X0: collection,X1: $int] :
      ( in(X1,X0)
      | ( add(X1,remove(X1,X0)) = X0 ) ),
    inference(consistent_polarity_flipping,[],[f72]) ).

tff(f72,plain,
    ! [X0: collection,X1: $int] :
      ( ( add(X1,remove(X1,X0)) = X0 )
      | ~ in(X1,X0) ),
    inference(cnf_transformation,[],[f32]) ).

tff(f32,plain,
    ! [X0: collection,X1: $int] :
      ( ( add(X1,remove(X1,X0)) = X0 )
      | ~ in(X1,X0) ),
    inference(ennf_transformation,[],[f25]) ).

tff(f25,plain,
    ! [X1: $int,X0: collection] :
      ( in(X1,X0)
     => ( add(X1,remove(X1,X0)) = X0 ) ),
    inference(rectify,[],[f12]) ).

tff(f12,axiom,
    ! [X22: collection,X21: $int] :
      ( in(X21,X22)
     => ( add(X21,remove(X21,X22)) = X22 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).

tff(f92,plain,
    ! [X2: collection,X0: $int,X1: $int] :
      ( in(X1,add(X0,X2))
      | ~ in(X1,X2)
      | ( X0 = X1 ) ),
    inference(consistent_polarity_flipping,[],[f52]) ).

tff(f52,plain,
    ! [X2: collection,X0: $int,X1: $int] :
      ( in(X1,X2)
      | ~ in(X1,add(X0,X2))
      | ( X0 = X1 ) ),
    inference(cnf_transformation,[],[f35]) ).

tff(f35,plain,
    ! [X0: $int,X1: $int,X2: collection] :
      ( ( ( X0 = X1 )
        | in(X1,X2)
        | ~ in(X1,add(X0,X2)) )
      & ( in(X1,add(X0,X2))
        | ( ( X0 != X1 )
          & ~ in(X1,X2) ) ) ),
    inference(rectify,[],[f34]) ).

tff(f34,plain,
    ! [X2: $int,X1: $int,X0: collection] :
      ( ( ( X1 = X2 )
        | in(X1,X0)
        | ~ in(X1,add(X2,X0)) )
      & ( in(X1,add(X2,X0))
        | ( ( X1 != X2 )
          & ~ in(X1,X0) ) ) ),
    inference(flattening,[],[f33]) ).

tff(f33,plain,
    ! [X2: $int,X1: $int,X0: collection] :
      ( ( ( X1 = X2 )
        | in(X1,X0)
        | ~ in(X1,add(X2,X0)) )
      & ( in(X1,add(X2,X0))
        | ( ( X1 != X2 )
          & ~ in(X1,X0) ) ) ),
    inference(nnf_transformation,[],[f18]) ).

tff(f18,plain,
    ! [X2: $int,X1: $int,X0: collection] :
      ( ( ( X1 = X2 )
        | in(X1,X0) )
    <=> in(X1,add(X2,X0)) ),
    inference(rectify,[],[f4]) ).

tff(f4,axiom,
    ! [X6: collection,X5: $int,X7: $int] :
      ( ( ( X5 = X7 )
        | in(X5,X6) )
    <=> in(X5,add(X7,X6)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).

tff(f70,plain,
    ! [X0: collection] :
      ( ( 0 != count(X0) )
      | ( empty = X0 ) ),
    inference(cnf_transformation,[],[f46]) ).

tff(f46,plain,
    ! [X0: collection] :
      ( ( ( 0 = count(X0) )
        | ( empty != X0 ) )
      & ( ( empty = X0 )
        | ( 0 != count(X0) ) ) ),
    inference(nnf_transformation,[],[f19]) ).

tff(f19,plain,
    ! [X0: collection] :
      ( ( 0 = count(X0) )
    <=> ( empty = X0 ) ),
    inference(rectify,[],[f7]) ).

tff(f7,axiom,
    ! [X12: collection] :
      ( ( 0 = count(X12) )
    <=> ( empty = X12 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).

tff(f94,plain,
    ! [X2: $int,X0: $int,X1: collection] :
      ( ~ in(X2,remove(X0,X1))
      | in(X2,X1)
      | ( X0 = X2 ) ),
    inference(consistent_polarity_flipping,[],[f54]) ).

tff(f54,plain,
    ! [X2: $int,X0: $int,X1: collection] :
      ( in(X2,remove(X0,X1))
      | ~ in(X2,X1)
      | ( X0 = X2 ) ),
    inference(cnf_transformation,[],[f38]) ).

tff(f38,plain,
    ! [X0: $int,X1: collection,X2: $int] :
      ( ( ( in(X2,X1)
          & ( X0 != X2 ) )
        | ~ in(X2,remove(X0,X1)) )
      & ( in(X2,remove(X0,X1))
        | ~ in(X2,X1)
        | ( X0 = X2 ) ) ),
    inference(rectify,[],[f37]) ).

tff(f37,plain,
    ! [X0: $int,X2: collection,X1: $int] :
      ( ( ( in(X1,X2)
          & ( X0 != X1 ) )
        | ~ in(X1,remove(X0,X2)) )
      & ( in(X1,remove(X0,X2))
        | ~ in(X1,X2)
        | ( X0 = X1 ) ) ),
    inference(flattening,[],[f36]) ).

tff(f36,plain,
    ! [X0: $int,X2: collection,X1: $int] :
      ( ( ( in(X1,X2)
          & ( X0 != X1 ) )
        | ~ in(X1,remove(X0,X2)) )
      & ( in(X1,remove(X0,X2))
        | ~ in(X1,X2)
        | ( X0 = X1 ) ) ),
    inference(nnf_transformation,[],[f29]) ).

tff(f29,plain,
    ! [X0: $int,X2: collection,X1: $int] :
      ( ( in(X1,X2)
        & ( X0 != X1 ) )
    <=> in(X1,remove(X0,X2)) ),
    inference(rectify,[],[f5]) ).

tff(f5,axiom,
    ! [X10: $int,X8: $int,X9: collection] :
      ( ( ( X8 != X10 )
        & in(X8,X9) )
    <=> in(X8,remove(X10,X9)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).

tff(f68,plain,
    $less(3,sK0),
    inference(cnf_transformation,[],[f45]) ).

tff(f332,plain,
    ( spl2_1
    | spl2_2 ),
    inference(avatar_split_clause,[],[f327,f312,f308]) ).

tff(f312,plain,
    ( spl2_2
  <=> ( 3 = sK0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).

tff(f327,plain,
    ( ( 3 = sK0 )
    | ( 1 = count(add(sK0,remove(3,sK1))) ) ),
    inference(resolution,[],[f90,f299]) ).

tff(f90,plain,
    ~ in(sK0,sK1),
    inference(consistent_polarity_flipping,[],[f64]) ).

tff(f64,plain,
    in(sK0,sK1),
    inference(cnf_transformation,[],[f45]) ).

tff(f325,plain,
    ~ spl2_2,
    inference(avatar_contradiction_clause,[],[f324]) ).

tff(f324,plain,
    ( $false
    | ~ spl2_2 ),
    inference(evaluation,[],[f318]) ).

tff(f318,plain,
    ( $less(3,3)
    | ~ spl2_2 ),
    inference(backward_demodulation,[],[f68,f314]) ).

tff(f314,plain,
    ( ( 3 = sK0 )
    | ~ spl2_2 ),
    inference(avatar_component_clause,[],[f312]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : DAT039=1 : TPTP v8.1.0. Released v5.0.0.
% 0.07/0.13  % 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 : n028.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   : Mon Aug 29 20:26:48 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.50  % (30137)ott+1011_1:2_br=off:bs=unit_only:bsr=unit_only:nwc=5.0:s2a=on:s2agt=32:urr=on:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.51  % (30151)lrs+10_1:1_ss=axioms:st=5.0:tha=off:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.20/0.51  % (30145)lrs+10_1:1_ep=R:gve=force:plsq=on:plsqr=32,1:uwa=one_side_interpreted:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.51  % (30138)lrs+10_1:32_s2a=on:s2agt=10:sgt=8:ss=axioms:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.20/0.52  % (30136)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=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.52  % (30136)Instruction limit reached!
% 0.20/0.52  % (30136)------------------------------
% 0.20/0.52  % (30136)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (30136)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (30136)Termination reason: Unknown
% 0.20/0.52  % (30136)Termination phase: Preprocessing 1
% 0.20/0.52  
% 0.20/0.52  % (30136)Memory used [KB]: 895
% 0.20/0.52  % (30136)Time elapsed: 0.003 s
% 0.20/0.52  % (30136)Instructions burned: 2 (million)
% 0.20/0.52  % (30136)------------------------------
% 0.20/0.52  % (30136)------------------------------
% 0.20/0.52  % (30138)Instruction limit reached!
% 0.20/0.52  % (30138)------------------------------
% 0.20/0.52  % (30138)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (30154)dis+10_1:64_nwc=1.4:rp=on:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.20/0.53  % (30151)Instruction limit reached!
% 0.20/0.53  % (30151)------------------------------
% 0.20/0.53  % (30151)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (30133)dis+1010_1:4_aac=none:abs=on:atotf=0.5:avsq=on:avsqc=2:avsqr=215,247:awrs=converge:awrsf=128:bsd=on:erd=off:fde=none:gve=cautious:newcnf=on:nwc=5.0:rnwc=on:sac=on:sas=z3:sp=const_min:tgt=ground:thsq=on:thsqc=64:thsqr=1,4:i=59848:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59848Mi)
% 0.20/0.53  % (30144)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.20/0.53  % (30145)Instruction limit reached!
% 0.20/0.53  % (30145)------------------------------
% 0.20/0.53  % (30145)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (30145)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (30145)Termination reason: Unknown
% 0.20/0.53  % (30145)Termination phase: Saturation
% 0.20/0.53  
% 0.20/0.53  % (30145)Memory used [KB]: 1023
% 0.20/0.53  % (30145)Time elapsed: 0.003 s
% 0.20/0.53  % (30145)Instructions burned: 3 (million)
% 0.20/0.53  % (30145)------------------------------
% 0.20/0.53  % (30145)------------------------------
% 0.20/0.53  % (30151)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (30151)Termination reason: Unknown
% 0.20/0.53  % (30151)Termination phase: Saturation
% 0.20/0.53  
% 0.20/0.53  % (30151)Memory used [KB]: 5756
% 0.20/0.53  % (30151)Time elapsed: 0.122 s
% 0.20/0.53  % (30151)Instructions burned: 15 (million)
% 0.20/0.53  % (30151)------------------------------
% 0.20/0.53  % (30151)------------------------------
% 0.20/0.53  % (30141)lrs+1010_1:1_ep=RST:s2a=on:s2at=5.0:sos=all:i=26:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/26Mi)
% 0.20/0.53  % (30140)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=36:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/36Mi)
% 0.20/0.53  % (30159)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.20/0.53  % (30144)Instruction limit reached!
% 0.20/0.53  % (30144)------------------------------
% 0.20/0.53  % (30144)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (30135)dis+1011_1:64_drc=off:flr=on:nwc=2.0:sac=on:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.20/0.53  % (30144)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (30144)Termination reason: Unknown
% 0.20/0.53  % (30144)Termination phase: Saturation
% 0.20/0.53  
% 0.20/0.53  % (30144)Memory used [KB]: 5500
% 0.20/0.53  % (30144)Time elapsed: 0.128 s
% 0.20/0.53  % (30144)Instructions burned: 4 (million)
% 0.20/0.53  % (30144)------------------------------
% 0.20/0.53  % (30144)------------------------------
% 0.20/0.53  % (30146)dis+10_1:64_nwc=1.4:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.20/0.53  % (30139)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=32:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/32Mi)
% 0.20/0.53  % (30156)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.54  % (30134)lrs+1010_1:1_aac=none:bce=on:nicw=on:nm=0:plsq=on:plsql=on:sac=on:sos=on:sp=frequency:spb=units:to=lpo:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.20/0.54  % (30155)dis+2_1:1_av=off:bsr=on:erd=off:s2pl=on:sgt=16:sos=on:sp=frequency:ss=axioms:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 0.20/0.54  % (30162)dis+20_1:12_aac=none:acc=model:awrs=converge:fd=preordered:fsr=off:nicw=on:nwc=3.0:s2a=on:s2agt=16:spb=goal:to=lpo:i=41:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/41Mi)
% 0.20/0.54  % (30150)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.20/0.54  % (30148)dis+20_1:12_aac=none:acc=model:awrs=converge:fd=preordered:fsr=off:nicw=on:nwc=3.0:s2a=on:s2agt=16:spb=goal:to=lpo:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.54  % (30154)First to succeed.
% 0.20/0.54  % (30148)Instruction limit reached!
% 0.20/0.54  % (30148)------------------------------
% 0.20/0.54  % (30148)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (30148)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (30148)Termination reason: Unknown
% 0.20/0.54  % (30148)Termination phase: Saturation
% 0.20/0.54  
% 0.20/0.54  % (30148)Memory used [KB]: 5500
% 0.20/0.54  % (30148)Time elapsed: 0.003 s
% 0.20/0.54  % (30148)Instructions burned: 3 (million)
% 0.20/0.54  % (30148)------------------------------
% 0.20/0.54  % (30148)------------------------------
% 0.20/0.54  % (30152)lrs+10_1:1_sd=10:sos=all:ss=axioms:st=5.0:tha=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.54  % (30152)Instruction limit reached!
% 0.20/0.54  % (30152)------------------------------
% 0.20/0.54  % (30152)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (30152)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (30152)Termination reason: Unknown
% 0.20/0.54  % (30152)Termination phase: Preprocessing 3
% 0.20/0.54  
% 0.20/0.54  % (30152)Memory used [KB]: 895
% 0.20/0.54  % (30152)Time elapsed: 0.002 s
% 0.20/0.54  % (30152)Instructions burned: 2 (million)
% 0.20/0.54  % (30152)------------------------------
% 0.20/0.54  % (30152)------------------------------
% 0.20/0.55  % (30149)lrs+10_1:1_ev=force:gve=cautious:tha=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.55  % (30157)lrs+1_1:10_av=off:drc=off:nwc=2.0:sp=reverse_frequency:thsq=on:thsqc=64:thsql=off:i=47:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/47Mi)
% 0.20/0.55  % (30149)Instruction limit reached!
% 0.20/0.55  % (30149)------------------------------
% 0.20/0.55  % (30149)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55  % (30149)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55  % (30149)Termination reason: Unknown
% 0.20/0.55  % (30149)Termination phase: Saturation
% 0.20/0.55  
% 0.20/0.55  % (30149)Memory used [KB]: 5500
% 0.20/0.55  % (30149)Time elapsed: 0.003 s
% 0.20/0.55  % (30149)Instructions burned: 3 (million)
% 0.20/0.55  % (30149)------------------------------
% 0.20/0.55  % (30149)------------------------------
% 0.20/0.55  % (30161)dis+1011_1:1_bd=off:canc=force:ev=cautious:nwc=5.0:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.20/0.55  % (30143)lrs+10_1:1_canc=force:tha=some:to=lpo:i=35:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/35Mi)
% 0.20/0.55  % (30154)Refutation found. Thanks to Tanya!
% 0.20/0.55  % SZS status Theorem for theBenchmark
% 0.20/0.55  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.55  % (30154)------------------------------
% 0.20/0.55  % (30154)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55  % (30154)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55  % (30154)Termination reason: Refutation
% 0.20/0.55  
% 0.20/0.55  % (30154)Memory used [KB]: 5628
% 0.20/0.55  % (30154)Time elapsed: 0.135 s
% 0.20/0.55  % (30154)Instructions burned: 16 (million)
% 0.20/0.55  % (30154)------------------------------
% 0.20/0.55  % (30154)------------------------------
% 0.20/0.55  % (30132)Success in time 0.192 s
%------------------------------------------------------------------------------