TSTP Solution File: DAT050_1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : DAT050_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 : n002.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 16:04:01 EDT 2022

% Result   : Theorem 2.15s 0.64s
% Output   : Refutation 2.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   30
% Syntax   : Number of formulae    :  145 (  13 unt;   9 typ;   0 def)
%            Number of atoms       :  350 (  61 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  369 ( 155   ~; 168   |;  21   &)
%                                         (  24 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number arithmetic     :  193 (   0 atm;  45 fun;  88 num;  60 var)
%            Number of types       :    3 (   1 usr;   1 ari)
%            Number of type conns  :    8 (   5   >;   3   *;   0   +;   0  <<)
%            Number of predicates  :   15 (  13 usr;  12 prp; 0-2 aty)
%            Number of functors    :   12 (   6 usr;   6 con; 0-2 aty)
%            Number of variables   :  105 (  99   !;   6   ?; 105   :)

% 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_9,type,
    sK0: $int ).

tff(func_def_10,type,
    sK1: collection ).

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

tff(pred_def_4,type,
    sP2: $int > $o ).

tff(f270,plain,
    $false,
    inference(avatar_sat_refutation,[],[f100,f106,f115,f129,f138,f144,f148,f157,f187,f191,f195,f197,f219,f248,f251,f260,f269]) ).

tff(f269,plain,
    ( spl3_2
    | ~ spl3_7
    | ~ spl3_8 ),
    inference(avatar_contradiction_clause,[],[f268]) ).

tff(f268,plain,
    ( $false
    | spl3_2
    | ~ spl3_7
    | ~ spl3_8 ),
    inference(subsumption_resolution,[],[f267,f132]) ).

tff(f132,plain,
    ( in(sK0,sK1)
    | ~ spl3_8 ),
    inference(avatar_component_clause,[],[f131]) ).

tff(f131,plain,
    ( spl3_8
  <=> in(sK0,sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_8])]) ).

tff(f267,plain,
    ( ~ in(sK0,sK1)
    | spl3_2
    | ~ spl3_7
    | ~ spl3_8 ),
    inference(subsumption_resolution,[],[f262,f252]) ).

tff(f252,plain,
    ( ~ sP2($sum(count(sK1),-1))
    | spl3_2
    | ~ spl3_8 ),
    inference(subsumption_resolution,[],[f222,f132]) ).

tff(f222,plain,
    ( ~ sP2($sum(count(sK1),-1))
    | ~ in(sK0,sK1)
    | spl3_2 ),
    inference(superposition,[],[f99,f87]) ).

tff(f87,plain,
    ! [X0: $int,X1: collection] :
      ( ( $sum(count(X1),-1) = count(remove(X0,X1)) )
      | ~ in(X0,X1) ),
    inference(evaluation,[],[f63]) ).

tff(f63,plain,
    ! [X0: $int,X1: collection] :
      ( ( count(remove(X0,X1)) = $sum(count(X1),$uminus(1)) )
      | ~ in(X0,X1) ),
    inference(cnf_transformation,[],[f46]) ).

tff(f46,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,[],[f45]) ).

tff(f45,plain,
    ! [X1: $int,X0: collection] :
      ( ( in(X1,X0)
        | ( $sum(count(X0),$uminus(1)) != count(remove(X1,X0)) ) )
      & ( ( $sum(count(X0),$uminus(1)) = count(remove(X1,X0)) )
        | ~ in(X1,X0) ) ),
    inference(nnf_transformation,[],[f38]) ).

tff(f38,plain,
    ! [X1: $int,X0: collection] :
      ( in(X1,X0)
    <=> ( $sum(count(X0),$uminus(1)) = count(remove(X1,X0)) ) ),
    inference(rectify,[],[f16]) ).

tff(f16,plain,
    ! [X18: collection,X17: $int] :
      ( ( count(remove(X17,X18)) = $sum(count(X18),$uminus(1)) )
    <=> in(X17,X18) ),
    inference(theory_normalization,[],[f10]) ).

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

tff(f99,plain,
    ( ~ sP2(count(remove(sK0,sK1)))
    | spl3_2 ),
    inference(avatar_component_clause,[],[f97]) ).

tff(f97,plain,
    ( spl3_2
  <=> sP2(count(remove(sK0,sK1))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).

tff(f262,plain,
    ( sP2($sum(count(sK1),-1))
    | ~ in(sK0,sK1)
    | ~ spl3_7 ),
    inference(superposition,[],[f256,f68]) ).

tff(f68,plain,
    ! [X0: $int,X1: collection] :
      ( ( count(X1) = count(add(X0,X1)) )
      | ~ in(X0,X1) ),
    inference(cnf_transformation,[],[f52]) ).

tff(f52,plain,
    ! [X0: $int,X1: collection] :
      ( ( in(X0,X1)
        | ( count(X1) != count(add(X0,X1)) ) )
      & ( ( count(X1) = count(add(X0,X1)) )
        | ~ in(X0,X1) ) ),
    inference(rectify,[],[f51]) ).

tff(f51,plain,
    ! [X1: $int,X0: collection] :
      ( ( in(X1,X0)
        | ( count(add(X1,X0)) != count(X0) ) )
      & ( ( count(add(X1,X0)) = count(X0) )
        | ~ in(X1,X0) ) ),
    inference(nnf_transformation,[],[f31]) ).

tff(f31,plain,
    ! [X1: $int,X0: collection] :
      ( in(X1,X0)
    <=> ( count(add(X1,X0)) = count(X0) ) ),
    inference(rectify,[],[f9]) ).

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

tff(f256,plain,
    ( sP2($sum(count(add(sK0,sK1)),-1))
    | ~ spl3_7 ),
    inference(subsumption_resolution,[],[f255,f70]) ).

tff(f70,plain,
    ! [X0: $int,X1: collection] : in(X0,add(X0,X1)),
    inference(cnf_transformation,[],[f34]) ).

tff(f34,plain,
    ! [X0: $int,X1: collection] : in(X0,add(X0,X1)),
    inference(rectify,[],[f2]) ).

tff(f2,axiom,
    ! [X1: $int,X2: collection] : in(X1,add(X1,X2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).

tff(f255,plain,
    ( ~ in(sK0,add(sK0,sK1))
    | sP2($sum(count(add(sK0,sK1)),-1))
    | ~ spl3_7 ),
    inference(superposition,[],[f128,f87]) ).

tff(f128,plain,
    ( sP2(count(remove(sK0,add(sK0,sK1))))
    | ~ spl3_7 ),
    inference(avatar_component_clause,[],[f126]) ).

tff(f126,plain,
    ( spl3_7
  <=> sP2(count(remove(sK0,add(sK0,sK1)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_7])]) ).

tff(f260,plain,
    ( ~ spl3_9
    | spl3_8
    | spl3_2 ),
    inference(avatar_split_clause,[],[f221,f97,f131,f135]) ).

tff(f135,plain,
    ( spl3_9
  <=> sP2(count(sK1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_9])]) ).

tff(f221,plain,
    ( in(sK0,sK1)
    | ~ sP2(count(sK1))
    | spl3_2 ),
    inference(superposition,[],[f99,f77]) ).

tff(f77,plain,
    ! [X0: collection,X1: $int] :
      ( ( count(remove(X1,X0)) = count(X0) )
      | in(X1,X0) ),
    inference(cnf_transformation,[],[f56]) ).

tff(f56,plain,
    ! [X0: collection,X1: $int] :
      ( ( ~ in(X1,X0)
        | ( count(remove(X1,X0)) != count(X0) ) )
      & ( ( count(remove(X1,X0)) = count(X0) )
        | in(X1,X0) ) ),
    inference(nnf_transformation,[],[f30]) ).

tff(f30,plain,
    ! [X0: collection,X1: $int] :
      ( ~ in(X1,X0)
    <=> ( count(remove(X1,X0)) = count(X0) ) ),
    inference(rectify,[],[f11]) ).

tff(f11,axiom,
    ! [X20: collection,X19: $int] :
      ( ~ in(X19,X20)
    <=> ( count(remove(X19,X20)) = count(X20) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).

tff(f251,plain,
    ( ~ spl3_5
    | spl3_11 ),
    inference(avatar_contradiction_clause,[],[f250]) ).

tff(f250,plain,
    ( $false
    | ~ spl3_5
    | spl3_11 ),
    inference(subsumption_resolution,[],[f249,f113]) ).

tff(f113,plain,
    ( in(0,sK1)
    | ~ spl3_5 ),
    inference(avatar_component_clause,[],[f112]) ).

tff(f112,plain,
    ( spl3_5
  <=> in(0,sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_5])]) ).

tff(f249,plain,
    ( ~ in(0,sK1)
    | spl3_11 ),
    inference(resolution,[],[f247,f60]) ).

tff(f60,plain,
    ! [X2: $int,X0: $int,X1: collection] :
      ( in(X2,add(X0,X1))
      | ~ in(X2,X1) ),
    inference(cnf_transformation,[],[f44]) ).

tff(f44,plain,
    ! [X0: $int,X1: collection,X2: $int] :
      ( ( ( X0 = X2 )
        | in(X2,X1)
        | ~ in(X2,add(X0,X1)) )
      & ( in(X2,add(X0,X1))
        | ( ( X0 != X2 )
          & ~ in(X2,X1) ) ) ),
    inference(rectify,[],[f43]) ).

tff(f43,plain,
    ! [X1: $int,X2: collection,X0: $int] :
      ( ( ( X0 = X1 )
        | in(X0,X2)
        | ~ in(X0,add(X1,X2)) )
      & ( in(X0,add(X1,X2))
        | ( ( X0 != X1 )
          & ~ in(X0,X2) ) ) ),
    inference(flattening,[],[f42]) ).

tff(f42,plain,
    ! [X1: $int,X2: collection,X0: $int] :
      ( ( ( X0 = X1 )
        | in(X0,X2)
        | ~ in(X0,add(X1,X2)) )
      & ( in(X0,add(X1,X2))
        | ( ( X0 != X1 )
          & ~ in(X0,X2) ) ) ),
    inference(nnf_transformation,[],[f37]) ).

tff(f37,plain,
    ! [X1: $int,X2: collection,X0: $int] :
      ( ( ( X0 = X1 )
        | in(X0,X2) )
    <=> in(X0,add(X1,X2)) ),
    inference(rectify,[],[f4]) ).

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

tff(f247,plain,
    ( ~ in(0,add(sK0,sK1))
    | spl3_11 ),
    inference(avatar_component_clause,[],[f245]) ).

tff(f245,plain,
    ( spl3_11
  <=> in(0,add(sK0,sK1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_11])]) ).

tff(f248,plain,
    ( ~ spl3_11
    | spl3_4
    | spl3_6 ),
    inference(avatar_split_clause,[],[f158,f122,f108,f245]) ).

tff(f108,plain,
    ( spl3_4
  <=> ( 0 = sK0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_4])]) ).

tff(f122,plain,
    ( spl3_6
  <=> in(0,remove(sK0,add(sK0,sK1))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_6])]) ).

tff(f158,plain,
    ( ( 0 = sK0 )
    | ~ in(0,add(sK0,sK1))
    | spl3_6 ),
    inference(resolution,[],[f124,f74]) ).

tff(f74,plain,
    ! [X2: collection,X0: $int,X1: $int] :
      ( in(X0,remove(X1,X2))
      | ( X0 = X1 )
      | ~ in(X0,X2) ),
    inference(cnf_transformation,[],[f55]) ).

tff(f55,plain,
    ! [X0: $int,X1: $int,X2: collection] :
      ( ( ( ( X0 != X1 )
          & in(X0,X2) )
        | ~ in(X0,remove(X1,X2)) )
      & ( in(X0,remove(X1,X2))
        | ( X0 = X1 )
        | ~ in(X0,X2) ) ),
    inference(rectify,[],[f54]) ).

tff(f54,plain,
    ! [X2: $int,X1: $int,X0: collection] :
      ( ( ( ( X1 != X2 )
          & in(X2,X0) )
        | ~ in(X2,remove(X1,X0)) )
      & ( in(X2,remove(X1,X0))
        | ( X1 = X2 )
        | ~ in(X2,X0) ) ),
    inference(flattening,[],[f53]) ).

tff(f53,plain,
    ! [X2: $int,X1: $int,X0: collection] :
      ( ( ( ( X1 != X2 )
          & in(X2,X0) )
        | ~ in(X2,remove(X1,X0)) )
      & ( in(X2,remove(X1,X0))
        | ( X1 = X2 )
        | ~ in(X2,X0) ) ),
    inference(nnf_transformation,[],[f32]) ).

tff(f32,plain,
    ! [X2: $int,X1: $int,X0: collection] :
      ( ( ( X1 != X2 )
        & in(X2,X0) )
    <=> in(X2,remove(X1,X0)) ),
    inference(rectify,[],[f5]) ).

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

tff(f124,plain,
    ( ~ in(0,remove(sK0,add(sK0,sK1)))
    | spl3_6 ),
    inference(avatar_component_clause,[],[f122]) ).

tff(f219,plain,
    ( spl3_3
    | spl3_8
    | ~ spl3_10 ),
    inference(avatar_contradiction_clause,[],[f218]) ).

tff(f218,plain,
    ( $false
    | spl3_3
    | spl3_8
    | ~ spl3_10 ),
    inference(subsumption_resolution,[],[f217,f133]) ).

tff(f133,plain,
    ( ~ in(sK0,sK1)
    | spl3_8 ),
    inference(avatar_component_clause,[],[f131]) ).

tff(f217,plain,
    ( in(sK0,sK1)
    | spl3_3
    | spl3_8
    | ~ spl3_10 ),
    inference(subsumption_resolution,[],[f212,f198]) ).

tff(f198,plain,
    ( sP2($sum(count(sK1),1))
    | spl3_8
    | ~ spl3_10 ),
    inference(subsumption_resolution,[],[f173,f133]) ).

tff(f173,plain,
    ( in(sK0,sK1)
    | sP2($sum(count(sK1),1))
    | ~ spl3_10 ),
    inference(superposition,[],[f170,f79]) ).

tff(f79,plain,
    ! [X0: $int,X1: collection] :
      ( ( $sum(count(X1),1) = count(add(X0,X1)) )
      | in(X0,X1) ),
    inference(cnf_transformation,[],[f58]) ).

tff(f58,plain,
    ! [X0: $int,X1: collection] :
      ( ( ~ in(X0,X1)
        | ( $sum(count(X1),1) != count(add(X0,X1)) ) )
      & ( ( $sum(count(X1),1) = count(add(X0,X1)) )
        | in(X0,X1) ) ),
    inference(rectify,[],[f57]) ).

tff(f57,plain,
    ! [X1: $int,X0: collection] :
      ( ( ~ in(X1,X0)
        | ( $sum(count(X0),1) != count(add(X1,X0)) ) )
      & ( ( $sum(count(X0),1) = count(add(X1,X0)) )
        | in(X1,X0) ) ),
    inference(nnf_transformation,[],[f39]) ).

tff(f39,plain,
    ! [X1: $int,X0: collection] :
      ( ~ in(X1,X0)
    <=> ( $sum(count(X0),1) = count(add(X1,X0)) ) ),
    inference(rectify,[],[f8]) ).

tff(f8,axiom,
    ! [X14: collection,X13: $int] :
      ( ~ in(X13,X14)
    <=> ( count(add(X13,X14)) = $sum(count(X14),1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).

tff(f170,plain,
    ( sP2(count(add(sK0,sK1)))
    | ~ spl3_10 ),
    inference(subsumption_resolution,[],[f169,f70]) ).

tff(f169,plain,
    ( sP2(count(add(sK0,sK1)))
    | ~ in(sK0,add(sK0,sK1))
    | ~ spl3_10 ),
    inference(evaluation,[],[f166]) ).

tff(f166,plain,
    ( sP2($sum($sum(count(add(sK0,sK1)),-1),1))
    | ~ in(sK0,add(sK0,sK1))
    | ~ spl3_10 ),
    inference(superposition,[],[f143,f87]) ).

tff(f143,plain,
    ( sP2($sum(count(remove(sK0,add(sK0,sK1))),1))
    | ~ spl3_10 ),
    inference(avatar_component_clause,[],[f141]) ).

tff(f141,plain,
    ( spl3_10
  <=> sP2($sum(count(remove(sK0,add(sK0,sK1))),1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_10])]) ).

tff(f212,plain,
    ( ~ sP2($sum(count(sK1),1))
    | in(sK0,sK1)
    | spl3_3 ),
    inference(superposition,[],[f105,f77]) ).

tff(f105,plain,
    ( ~ sP2($sum(count(remove(sK0,sK1)),1))
    | spl3_3 ),
    inference(avatar_component_clause,[],[f103]) ).

tff(f103,plain,
    ( spl3_3
  <=> sP2($sum(count(remove(sK0,sK1)),1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).

tff(f197,plain,
    ( ~ spl3_1
    | spl3_5 ),
    inference(avatar_contradiction_clause,[],[f196]) ).

tff(f196,plain,
    ( $false
    | ~ spl3_1
    | spl3_5 ),
    inference(subsumption_resolution,[],[f192,f114]) ).

tff(f114,plain,
    ( ~ in(0,sK1)
    | spl3_5 ),
    inference(avatar_component_clause,[],[f112]) ).

tff(f192,plain,
    ( in(0,sK1)
    | ~ spl3_1 ),
    inference(resolution,[],[f94,f75]) ).

tff(f75,plain,
    ! [X2: collection,X0: $int,X1: $int] :
      ( ~ in(X0,remove(X1,X2))
      | in(X0,X2) ),
    inference(cnf_transformation,[],[f55]) ).

tff(f94,plain,
    ( in(0,remove(sK0,sK1))
    | ~ spl3_1 ),
    inference(avatar_component_clause,[],[f93]) ).

tff(f93,plain,
    ( spl3_1
  <=> in(0,remove(sK0,sK1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).

tff(f195,plain,
    ( ~ spl3_1
    | ~ spl3_4 ),
    inference(avatar_contradiction_clause,[],[f194]) ).

tff(f194,plain,
    ( $false
    | ~ spl3_1
    | ~ spl3_4 ),
    inference(subsumption_resolution,[],[f193,f85]) ).

tff(f85,plain,
    ! [X2: collection,X1: $int] : ~ in(X1,remove(X1,X2)),
    inference(equality_resolution,[],[f76]) ).

tff(f76,plain,
    ! [X2: collection,X0: $int,X1: $int] :
      ( ( X0 != X1 )
      | ~ in(X0,remove(X1,X2)) ),
    inference(cnf_transformation,[],[f55]) ).

tff(f193,plain,
    ( in(0,remove(0,sK1))
    | ~ spl3_1
    | ~ spl3_4 ),
    inference(superposition,[],[f94,f110]) ).

tff(f110,plain,
    ( ( 0 = sK0 )
    | ~ spl3_4 ),
    inference(avatar_component_clause,[],[f108]) ).

tff(f191,plain,
    ( ~ spl3_8
    | spl3_9
    | ~ spl3_10 ),
    inference(avatar_contradiction_clause,[],[f190]) ).

tff(f190,plain,
    ( $false
    | ~ spl3_8
    | spl3_9
    | ~ spl3_10 ),
    inference(subsumption_resolution,[],[f189,f132]) ).

tff(f189,plain,
    ( ~ in(sK0,sK1)
    | spl3_9
    | ~ spl3_10 ),
    inference(subsumption_resolution,[],[f172,f137]) ).

tff(f137,plain,
    ( ~ sP2(count(sK1))
    | spl3_9 ),
    inference(avatar_component_clause,[],[f135]) ).

tff(f172,plain,
    ( ~ in(sK0,sK1)
    | sP2(count(sK1))
    | ~ spl3_10 ),
    inference(superposition,[],[f170,f68]) ).

tff(f187,plain,
    ( spl3_9
    | ~ spl3_7
    | spl3_8 ),
    inference(avatar_split_clause,[],[f186,f131,f126,f135]) ).

tff(f186,plain,
    ( sP2(count(sK1))
    | ~ spl3_7
    | spl3_8 ),
    inference(subsumption_resolution,[],[f185,f133]) ).

tff(f185,plain,
    ( in(sK0,sK1)
    | sP2(count(sK1))
    | ~ spl3_7 ),
    inference(evaluation,[],[f182]) ).

tff(f182,plain,
    ( in(sK0,sK1)
    | sP2($sum($sum(count(sK1),1),-1))
    | ~ spl3_7 ),
    inference(superposition,[],[f163,f79]) ).

tff(f163,plain,
    ( sP2($sum(count(add(sK0,sK1)),-1))
    | ~ spl3_7 ),
    inference(subsumption_resolution,[],[f162,f70]) ).

tff(f162,plain,
    ( sP2($sum(count(add(sK0,sK1)),-1))
    | ~ in(sK0,add(sK0,sK1))
    | ~ spl3_7 ),
    inference(superposition,[],[f128,f87]) ).

tff(f157,plain,
    ( ~ spl3_4
    | ~ spl3_6 ),
    inference(avatar_contradiction_clause,[],[f156]) ).

tff(f156,plain,
    ( $false
    | ~ spl3_4
    | ~ spl3_6 ),
    inference(subsumption_resolution,[],[f153,f85]) ).

tff(f153,plain,
    ( in(0,remove(0,add(0,sK1)))
    | ~ spl3_4
    | ~ spl3_6 ),
    inference(superposition,[],[f123,f110]) ).

tff(f123,plain,
    ( in(0,remove(sK0,add(sK0,sK1)))
    | ~ spl3_6 ),
    inference(avatar_component_clause,[],[f122]) ).

tff(f148,plain,
    ( spl3_4
    | spl3_5
    | ~ spl3_6 ),
    inference(avatar_split_clause,[],[f147,f122,f112,f108]) ).

tff(f147,plain,
    ( ( 0 = sK0 )
    | spl3_5
    | ~ spl3_6 ),
    inference(subsumption_resolution,[],[f146,f114]) ).

tff(f146,plain,
    ( in(0,sK1)
    | ( 0 = sK0 )
    | ~ spl3_6 ),
    inference(resolution,[],[f145,f62]) ).

tff(f62,plain,
    ! [X2: $int,X0: $int,X1: collection] :
      ( ~ in(X2,add(X0,X1))
      | in(X2,X1)
      | ( X0 = X2 ) ),
    inference(cnf_transformation,[],[f44]) ).

tff(f145,plain,
    ( in(0,add(sK0,sK1))
    | ~ spl3_6 ),
    inference(resolution,[],[f123,f75]) ).

tff(f144,plain,
    ( spl3_10
    | spl3_6 ),
    inference(avatar_split_clause,[],[f91,f122,f141]) ).

tff(f91,plain,
    ( in(0,remove(sK0,add(sK0,sK1)))
    | sP2($sum(count(remove(sK0,add(sK0,sK1))),1)) ),
    inference(superposition,[],[f82,f79]) ).

tff(f82,plain,
    sP2(count(add(0,remove(sK0,add(sK0,sK1))))),
    inference(inequality_splitting,[],[f65,f81]) ).

tff(f81,plain,
    ~ sP2(count(add(0,remove(sK0,sK1)))),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP2])]) ).

tff(f65,plain,
    count(add(0,remove(sK0,sK1))) != count(add(0,remove(sK0,add(sK0,sK1)))),
    inference(cnf_transformation,[],[f49]) ).

tff(f49,plain,
    count(add(0,remove(sK0,sK1))) != count(add(0,remove(sK0,add(sK0,sK1)))),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f47,f48]) ).

tff(f48,plain,
    ( ? [X0: $int,X1: collection] : ( count(add(0,remove(X0,add(X0,X1)))) != count(add(0,remove(X0,X1))) )
   => ( count(add(0,remove(sK0,sK1))) != count(add(0,remove(sK0,add(sK0,sK1)))) ) ),
    introduced(choice_axiom,[]) ).

tff(f47,plain,
    ? [X0: $int,X1: collection] : ( count(add(0,remove(X0,add(X0,X1)))) != count(add(0,remove(X0,X1))) ),
    inference(rectify,[],[f40]) ).

tff(f40,plain,
    ? [X1: $int,X0: collection] : ( count(add(0,remove(X1,add(X1,X0)))) != count(add(0,remove(X1,X0))) ),
    inference(ennf_transformation,[],[f14]) ).

tff(f14,negated_conjecture,
    ~ ! [X1: $int,X0: collection] : ( count(add(0,remove(X1,add(X1,X0)))) = count(add(0,remove(X1,X0))) ),
    inference(negated_conjecture,[],[f13]) ).

tff(f13,conjecture,
    ! [X1: $int,X0: collection] : ( count(add(0,remove(X1,add(X1,X0)))) = count(add(0,remove(X1,X0))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

tff(f138,plain,
    ( ~ spl3_8
    | ~ spl3_9
    | spl3_3 ),
    inference(avatar_split_clause,[],[f120,f103,f135,f131]) ).

tff(f120,plain,
    ( ~ sP2(count(sK1))
    | ~ in(sK0,sK1)
    | spl3_3 ),
    inference(evaluation,[],[f117]) ).

tff(f117,plain,
    ( ~ in(sK0,sK1)
    | ~ sP2($sum($sum(count(sK1),-1),1))
    | spl3_3 ),
    inference(superposition,[],[f105,f87]) ).

tff(f129,plain,
    ( ~ spl3_6
    | spl3_7 ),
    inference(avatar_split_clause,[],[f90,f126,f122]) ).

tff(f90,plain,
    ( sP2(count(remove(sK0,add(sK0,sK1))))
    | ~ in(0,remove(sK0,add(sK0,sK1))) ),
    inference(superposition,[],[f82,f68]) ).

tff(f115,plain,
    ( spl3_4
    | ~ spl3_5
    | spl3_1 ),
    inference(avatar_split_clause,[],[f101,f93,f112,f108]) ).

tff(f101,plain,
    ( ~ in(0,sK1)
    | ( 0 = sK0 )
    | spl3_1 ),
    inference(resolution,[],[f95,f74]) ).

tff(f95,plain,
    ( ~ in(0,remove(sK0,sK1))
    | spl3_1 ),
    inference(avatar_component_clause,[],[f93]) ).

tff(f106,plain,
    ( spl3_1
    | ~ spl3_3 ),
    inference(avatar_split_clause,[],[f89,f103,f93]) ).

tff(f89,plain,
    ( ~ sP2($sum(count(remove(sK0,sK1)),1))
    | in(0,remove(sK0,sK1)) ),
    inference(superposition,[],[f81,f79]) ).

tff(f100,plain,
    ( ~ spl3_1
    | ~ spl3_2 ),
    inference(avatar_split_clause,[],[f88,f97,f93]) ).

tff(f88,plain,
    ( ~ sP2(count(remove(sK0,sK1)))
    | ~ in(0,remove(sK0,sK1)) ),
    inference(superposition,[],[f81,f68]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem    : DAT050=1 : TPTP v8.1.0. Released v5.0.0.
% 0.10/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33  % Computer : n002.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Mon Aug 29 20:30:28 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.18/0.54  % (25648)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)
% 0.18/0.54  % (25658)lrs+10_1:1_ev=force:gve=cautious:tha=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.18/0.54  % (25658)Instruction limit reached!
% 0.18/0.54  % (25658)------------------------------
% 0.18/0.54  % (25658)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.54  % (25658)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.54  % (25658)Termination reason: Unknown
% 0.18/0.54  % (25658)Termination phase: Preprocessing 3
% 0.18/0.54  
% 0.18/0.54  % (25658)Memory used [KB]: 895
% 0.18/0.54  % (25658)Time elapsed: 0.003 s
% 0.18/0.54  % (25658)Instructions burned: 2 (million)
% 0.18/0.54  % (25658)------------------------------
% 0.18/0.54  % (25658)------------------------------
% 0.18/0.54  % (25650)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)
% 0.18/0.55  % (25666)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)
% 0.18/0.55  % (25656)lrs+22_1:1_amm=sco:fsr=off:gve=force:sos=on:uwa=all:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.18/0.55  % (25656)Refutation not found, incomplete strategy% (25656)------------------------------
% 0.18/0.55  % (25656)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.55  % (25664)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)
% 0.18/0.55  % (25656)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.55  % (25656)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.55  
% 0.18/0.55  % (25656)Memory used [KB]: 5628
% 0.18/0.55  % (25656)Time elapsed: 0.134 s
% 0.18/0.55  % (25656)Instructions burned: 3 (million)
% 0.18/0.55  % (25656)------------------------------
% 0.18/0.55  % (25656)------------------------------
% 0.18/0.56  % (25664)Refutation not found, incomplete strategy% (25664)------------------------------
% 0.18/0.56  % (25664)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.56  % (25664)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.56  % (25664)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.56  
% 0.18/0.56  % (25664)Memory used [KB]: 1023
% 0.18/0.56  % (25664)Time elapsed: 0.140 s
% 0.18/0.56  % (25664)Instructions burned: 4 (million)
% 0.18/0.56  % (25664)------------------------------
% 0.18/0.56  % (25664)------------------------------
% 0.18/0.56  % (25645)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)
% 0.18/0.56  % (25645)Instruction limit reached!
% 0.18/0.56  % (25645)------------------------------
% 0.18/0.56  % (25645)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.56  % (25645)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.56  % (25645)Termination reason: Unknown
% 0.18/0.56  % (25645)Termination phase: Property scanning
% 0.18/0.56  
% 0.18/0.56  % (25645)Memory used [KB]: 895
% 0.18/0.56  % (25645)Time elapsed: 0.003 s
% 0.18/0.56  % (25645)Instructions burned: 2 (million)
% 0.18/0.56  % (25645)------------------------------
% 0.18/0.56  % (25645)------------------------------
% 0.18/0.58  % (25648)Instruction limit reached!
% 0.18/0.58  % (25648)------------------------------
% 0.18/0.58  % (25648)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.58  % (25644)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)
% 0.18/0.58  % (25648)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.58  % (25648)Termination reason: Unknown
% 0.18/0.58  % (25648)Termination phase: Saturation
% 0.18/0.58  
% 0.18/0.58  % (25648)Memory used [KB]: 6140
% 0.18/0.58  % (25648)Time elapsed: 0.151 s
% 0.18/0.58  % (25648)Instructions burned: 32 (million)
% 0.18/0.58  % (25648)------------------------------
% 0.18/0.58  % (25648)------------------------------
% 0.18/0.58  % (25647)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)
% 0.18/0.59  % (25661)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)
% 0.18/0.59  % (25646)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)
% 0.18/0.59  % (25669)dis+10_1:64_nwc=1.4:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.18/0.59  % (25652)lrs+10_1:1_canc=force:tha=some:to=lpo:i=35:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/35Mi)
% 0.18/0.59  % (25653)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)
% 0.18/0.59  % (25649)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)
% 0.18/0.59  % (25668)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.18/0.60  % (25653)Refutation not found, incomplete strategy% (25653)------------------------------
% 0.18/0.60  % (25653)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.60  % (25667)lrs+1002_1:1_br=off:canc=force:drc=off:s2a=on:sos=on:sp=reverse_frequency:urr=on:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 0.18/0.60  % (25655)dis+10_1:64_nwc=1.4:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.18/0.60  % (25644)Instruction limit reached!
% 0.18/0.60  % (25644)------------------------------
% 0.18/0.60  % (25644)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.60  % (25659)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)
% 0.18/0.60  % (25660)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)
% 0.18/0.60  % (25642)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)
% 0.18/0.60  % (25650)Instruction limit reached!
% 0.18/0.60  % (25650)------------------------------
% 0.18/0.60  % (25650)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.60  % (25650)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.60  % (25650)Termination reason: Unknown
% 0.18/0.60  % (25650)Termination phase: Saturation
% 0.18/0.60  
% 0.18/0.60  % (25650)Memory used [KB]: 5756
% 0.18/0.60  % (25650)Time elapsed: 0.191 s
% 0.18/0.60  % (25650)Instructions burned: 27 (million)
% 0.18/0.60  % (25650)------------------------------
% 0.18/0.60  % (25650)------------------------------
% 0.18/0.60  % (25643)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)
% 0.18/0.60  % (25661)Instruction limit reached!
% 0.18/0.60  % (25661)------------------------------
% 0.18/0.60  % (25661)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.60  % (25661)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.60  % (25661)Termination reason: Unknown
% 0.18/0.60  % (25661)Termination phase: Saturation
% 0.18/0.60  
% 0.18/0.60  % (25661)Memory used [KB]: 1023
% 0.18/0.60  % (25661)Time elapsed: 0.005 s
% 0.18/0.60  % (25661)Instructions burned: 2 (million)
% 0.18/0.60  % (25661)------------------------------
% 0.18/0.60  % (25661)------------------------------
% 0.18/0.61  % (25670)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)
% 0.18/0.61  % (25671)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)
% 0.18/0.61  % (25651)lrs+10_1:8_ep=R:erd=off:fs=off:fsr=off:gve=force:nwc=2.0:uwa=one_side_interpreted:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.18/0.61  % (25651)Instruction limit reached!
% 0.18/0.61  % (25651)------------------------------
% 0.18/0.61  % (25651)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.61  % (25651)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.61  % (25651)Termination reason: Unknown
% 0.18/0.61  % (25651)Termination phase: shuffling
% 0.18/0.61  
% 0.18/0.61  % (25651)Memory used [KB]: 1023
% 0.18/0.61  % (25651)Time elapsed: 0.003 s
% 0.18/0.61  % (25651)Instructions burned: 3 (million)
% 0.18/0.61  % (25651)------------------------------
% 0.18/0.61  % (25651)------------------------------
% 0.18/0.61  % (25662)dis+1002_1:5_av=off:nwc=2.0:sos=all:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.18/0.61  % (25665)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)
% 0.18/0.61  % (25653)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.61  % (25653)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.61  
% 0.18/0.61  % (25653)Memory used [KB]: 5500
% 0.18/0.61  % (25653)Time elapsed: 0.190 s
% 0.18/0.61  % (25653)Instructions burned: 3 (million)
% 0.18/0.61  % (25653)------------------------------
% 0.18/0.61  % (25653)------------------------------
% 0.18/0.61  % (25663)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)
% 2.12/0.62  % (25654)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)
% 2.12/0.62  % (25657)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)
% 2.12/0.62  % (25654)Instruction limit reached!
% 2.12/0.62  % (25654)------------------------------
% 2.12/0.62  % (25654)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.12/0.62  % (25654)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.12/0.62  % (25654)Termination reason: Unknown
% 2.12/0.62  % (25654)Termination phase: Equality proxy
% 2.12/0.62  
% 2.12/0.62  % (25654)Memory used [KB]: 1023
% 2.12/0.62  % (25654)Time elapsed: 0.004 s
% 2.12/0.62  % (25654)Instructions burned: 3 (million)
% 2.12/0.62  % (25654)------------------------------
% 2.12/0.62  % (25654)------------------------------
% 2.12/0.62  % (25649)First to succeed.
% 2.12/0.62  % (25644)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.12/0.62  % (25644)Termination reason: Unknown
% 2.12/0.62  % (25644)Termination phase: Saturation
% 2.12/0.62  
% 2.12/0.62  % (25644)Memory used [KB]: 5628
% 2.12/0.62  % (25644)Time elapsed: 0.190 s
% 2.12/0.62  % (25644)Instructions burned: 8 (million)
% 2.12/0.62  % (25644)------------------------------
% 2.12/0.62  % (25644)------------------------------
% 2.12/0.63  % (25660)Instruction limit reached!
% 2.12/0.63  % (25660)------------------------------
% 2.12/0.63  % (25660)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.12/0.63  % (25660)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.12/0.63  % (25660)Termination reason: Unknown
% 2.12/0.63  % (25660)Termination phase: Saturation
% 2.12/0.63  
% 2.12/0.63  % (25660)Memory used [KB]: 5756
% 2.12/0.63  % (25660)Time elapsed: 0.220 s
% 2.12/0.63  % (25660)Instructions burned: 15 (million)
% 2.12/0.63  % (25660)------------------------------
% 2.12/0.63  % (25660)------------------------------
% 2.15/0.63  % (25647)Instruction limit reached!
% 2.15/0.63  % (25647)------------------------------
% 2.15/0.63  % (25647)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.15/0.63  % (25647)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.15/0.63  % (25647)Termination reason: Unknown
% 2.15/0.63  % (25647)Termination phase: Saturation
% 2.15/0.63  
% 2.15/0.63  % (25647)Memory used [KB]: 5628
% 2.15/0.63  % (25647)Time elapsed: 0.218 s
% 2.15/0.63  % (25647)Instructions burned: 15 (million)
% 2.15/0.63  % (25647)------------------------------
% 2.15/0.63  % (25647)------------------------------
% 2.15/0.63  % (25665)Refutation not found, incomplete strategy% (25665)------------------------------
% 2.15/0.63  % (25665)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.15/0.63  % (25665)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.15/0.63  % (25665)Termination reason: Refutation not found, incomplete strategy
% 2.15/0.63  
% 2.15/0.63  % (25665)Memory used [KB]: 5500
% 2.15/0.63  % (25665)Time elapsed: 0.218 s
% 2.15/0.63  % (25665)Instructions burned: 3 (million)
% 2.15/0.63  % (25665)------------------------------
% 2.15/0.63  % (25665)------------------------------
% 2.15/0.63  % (25657)Instruction limit reached!
% 2.15/0.63  % (25657)------------------------------
% 2.15/0.63  % (25657)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.15/0.63  % (25657)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.15/0.63  % (25657)Termination reason: Unknown
% 2.15/0.63  % (25657)Termination phase: Preprocessing 3
% 2.15/0.63  
% 2.15/0.63  % (25657)Memory used [KB]: 895
% 2.15/0.63  % (25657)Time elapsed: 0.003 s
% 2.15/0.63  % (25657)Instructions burned: 2 (million)
% 2.15/0.63  % (25657)------------------------------
% 2.15/0.63  % (25657)------------------------------
% 2.15/0.64  % (25649)Refutation found. Thanks to Tanya!
% 2.15/0.64  % SZS status Theorem for theBenchmark
% 2.15/0.64  % SZS output start Proof for theBenchmark
% See solution above
% 2.15/0.64  % (25649)------------------------------
% 2.15/0.64  % (25649)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.15/0.64  % (25649)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.15/0.64  % (25649)Termination reason: Refutation
% 2.15/0.64  
% 2.15/0.64  % (25649)Memory used [KB]: 5628
% 2.15/0.64  % (25649)Time elapsed: 0.190 s
% 2.15/0.64  % (25649)Instructions burned: 7 (million)
% 2.15/0.64  % (25649)------------------------------
% 2.15/0.64  % (25649)------------------------------
% 2.15/0.64  % (25641)Success in time 0.279 s
%------------------------------------------------------------------------------