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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : CSR148^1 : TPTP v9.3.1. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n017.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Sep 30 07:47:11 AM UTC 2026

% Result   : Theorem 0.20s 0.31s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   72 (  19 unt;   0 typ;   6 def)
%            Number of atoms       :  364 (  64 equ;   0 cnn)
%            Maximal formula atoms :    6 (   5 avg)
%            Number of connectives :  322 (  52   ~;  58   |;   0   &; 191   @)
%                                         (   6 <=>;  12  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    3 (   1 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   23 (  19 usr;  13 con; 0-4 aty)
%                                         (   3  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   :   54 (   0 sgn  42   !;   8   ?;  54   :)

% Comments : 
%------------------------------------------------------------------------------
thf(type_def_5,type,
    num: $tType ).

thf(type_def_6,type,
    sTfun: ( $tType * $tType ) > $tType ).

thf(func_def_0,type,
    holdsDuring_THFTYPE_IiooI: $i > $o > $o ).

thf(func_def_4,type,
    lYearFn_THFTYPE_IiiI: $i > $i ).

thf(func_def_5,type,
    likes_THFTYPE_IiioI: $i > $i > $o ).

thf(func_def_10,type,
    vPI: 
      !>[X0: $tType] : ( ( X0 > $o ) > $o ) ).

thf(func_def_11,type,
    vIMP: $o > $o > $o ).

thf(func_def_12,type,
    db0: 
      !>[X0: $tType] : X0 ).

thf(func_def_13,type,
    vLAM: 
      !>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).

thf(func_def_14,type,
    vNOT: $o > $o ).

thf(f1,axiom,
    likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax) ).

thf(f2,axiom,
    ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
    @ ! [X0: $i] :
        ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ X0 )
       => ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X0 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_001) ).

thf(f3,axiom,
    ! [X1: $i,X0: $o] :
      ( X0
     => ( holdsDuring_THFTYPE_IiooI @ X1 @ X0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_002) ).

thf(f4,conjecture,
    ? [X0: $i,X1: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ X1 ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).

thf(f5,negated_conjecture,
    ~ ? [X0: $i,X1: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ X1 ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X0 ) ),
    inference(negated_conjecture,[status(cth)],[f4]) ).

thf(f6,plain,
    ~ ? [X0: $i,X1: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ X1 ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X0 ) ),
    inference(rectify,[],[f5]) ).

thf(f7,plain,
    ~ ? [X1: $i,X0: $i] :
        ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ X1 ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X0 ) )
        = $true ),
    inference(fool_elimination,[],[f6]) ).

thf(f8,plain,
    likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i,
    inference(rectify,[],[f1]) ).

thf(f9,plain,
    ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
    = $true ),
    inference(fool_elimination,[],[f8]) ).

thf(f10,plain,
    ! [X0: $i,X1: $o] :
      ( X1
     => ( holdsDuring_THFTYPE_IiooI @ X0 @ X1 ) ),
    inference(rectify,[],[f3]) ).

thf(f11,plain,
    ! [X0: $i,X1: $o] :
      ( ( $true = X1 )
     => ( ( holdsDuring_THFTYPE_IiooI @ X0 @ X1 )
        = $true ) ),
    inference(fool_elimination,[],[f10]) ).

thf(f12,plain,
    ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
    @ ! [X0: $i] :
        ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ X0 )
       => ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X0 ) ) ),
    inference(rectify,[],[f2]) ).

thf(f13,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
      @ ( !! @ $i
        @ ^ [Y0: $i] :
            ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ Y0 )
           => ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ Y0 ) ) ) )
    = $true ),
    inference(fool_elimination,[],[f12]) ).

thf(f14,plain,
    ! [X1: $o,X0: $i] :
      ( ( $true != X1 )
      | ( ( holdsDuring_THFTYPE_IiooI @ X0 @ X1 )
        = $true ) ),
    inference(ennf_transformation,[],[f11]) ).

thf(f15,plain,
    ! [X0: $i,X1: $i] :
      ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ X1 ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X0 ) )
     != $true ),
    inference(ennf_transformation,[],[f7]) ).

thf(f16,plain,
    ! [X0: $o,X1: $i] :
      ( ( $true != X0 )
      | ( ( holdsDuring_THFTYPE_IiooI @ X1 @ X0 )
        = $true ) ),
    inference(rectify,[],[f14]) ).

thf(f17,plain,
    ! [X0: $o,X1: $i] :
      ( ( $true != X0 )
      | ( ( holdsDuring_THFTYPE_IiooI @ X1 @ X0 )
        = $true ) ),
    inference(cnf_transformation,[],[f16]) ).

thf(f18,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
      @ ( !! @ $i
        @ ^ [Y0: $i] :
            ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ Y0 )
           => ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ Y0 ) ) ) )
    = $true ),
    inference(cnf_transformation,[],[f13]) ).

thf(f19,plain,
    ! [X0: $i,X1: $i] :
      ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ X1 ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X0 ) )
     != $true ),
    inference(cnf_transformation,[],[f15]) ).

thf(f20,plain,
    ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
    = $true ),
    inference(cnf_transformation,[],[f9]) ).

thf(f23,plain,
    ! [X1: $i] :
      ( ( holdsDuring_THFTYPE_IiooI @ X1 @ $true )
      = $true ),
    inference(equality_resolution,[],[f17]) ).

thf(f24,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ X1 ) @ $true )
       != $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X0 )
        = $false ) ),
    inference(cases_simplifying,[],[f19]) ).

thf(f25,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ X1 ) @ $false )
       != $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X0 )
        = $true ) ),
    inference(cases_simplifying,[],[f19]) ).

thf(f27,plain,
    ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false )
      = $true )
    | ( ( !! @ $i
        @ ^ [Y0: $i] :
            ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ Y0 )
           => ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ Y0 ) ) )
      = $true ) ),
    inference(cases_simplifying,[],[f18]) ).

thf(f28,plain,
    ! [X1: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false )
        = $true )
      | ( ( ^ [Y0: $i] :
              ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ Y0 )
             => ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ Y0 ) )
          @ X1 )
        = $true ) ),
    inference(pi_proxy_clausification,[],[f27]) ).

thf(f29,plain,
    ! [X1: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false )
        = $true )
      | ( ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ X1 )
         => ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X1 ) )
        = $true ) ),
    inference(beta-eta_normalization,[],[f28]) ).

thf(f30,plain,
    ! [X1: $i] :
      ( ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ X1 )
        = $false )
      | ( ( $true
         => ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X1 ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false )
        = $true ) ),
    inference(cases_simplifying,[],[f29]) ).

thf(f49,plain,
    ! [X1: $i] :
      ( ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ X1 )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X1 )
        = $true )
      | ( ( $true
         => $false )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false )
        = $true ) ),
    inference(cases_simplifying,[],[f30]) ).

thf(f50,plain,
    ! [X1: $i] :
      ( ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ X1 )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false )
        = $true )
      | ( $false = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X1 )
        = $true )
      | ( $false = $true ) ),
    inference(imp_proxy_clausification,[],[f49]) ).

thf(f51,plain,
    ! [X1: $i] :
      ( ( $false = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X1 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ X1 )
        = $false ) ),
    inference(duplicate_literal_removal,[],[f50]) ).

thf(f52,plain,
    ! [X1: $i] :
      ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X1 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ X1 )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false )
        = $true ) ),
    inference(trivial_inequality_removal,[],[f51]) ).

thf(f93,definition,
    ( spl1_1
  <=> ! [X0: $i] :
        ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X0 )
        = $true ) ),
    introduced(definition,[new_symbols(definition,[spl1_1])],[avatar_definition]) ).

thf(f94,plain,
    ( ! [X0: $i] :
        ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X0 )
        = $true )
    | ~ spl1_1 ),
    inference(avatar_component_clause,[],[f93]) ).

thf(f96,definition,
    ( spl1_2
  <=> ! [X1: $i] :
        ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ X1 ) @ $false )
       != $true ) ),
    introduced(definition,[new_symbols(definition,[spl1_2])],[avatar_definition]) ).

thf(f97,plain,
    ( ! [X1: $i] :
        ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ X1 ) @ $false )
       != $true )
    | ~ spl1_2 ),
    inference(avatar_component_clause,[],[f96]) ).

thf(f98,plain,
    ( spl1_1
    | spl1_2 ),
    inference(avatar_split_clause,[],[f25,f96,f93]) ).

thf(f100,definition,
    ( spl1_3
  <=> ! [X0: $i] :
        ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X0 )
        = $false ) ),
    introduced(definition,[new_symbols(definition,[spl1_3])],[avatar_definition]) ).

thf(f101,plain,
    ( ! [X0: $i] :
        ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X0 )
        = $false )
    | ~ spl1_3 ),
    inference(avatar_component_clause,[],[f100]) ).

thf(f103,definition,
    ( spl1_4
  <=> ! [X1: $i] :
        ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ X1 ) @ $true )
       != $true ) ),
    introduced(definition,[new_symbols(definition,[spl1_4])],[avatar_definition]) ).

thf(f104,plain,
    ( ! [X1: $i] :
        ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ X1 ) @ $true )
       != $true )
    | ~ spl1_4 ),
    inference(avatar_component_clause,[],[f103]) ).

thf(f105,plain,
    ( spl1_3
    | spl1_4 ),
    inference(avatar_split_clause,[],[f24,f103,f100]) ).

thf(f107,definition,
    ( spl1_5
  <=> ! [X1: $i] :
        ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X1 )
          = $true )
        | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ X1 )
          = $false ) ) ),
    introduced(definition,[new_symbols(definition,[spl1_5])],[avatar_definition]) ).

thf(f108,plain,
    ( ! [X1: $i] :
        ( ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ X1 )
          = $false )
        | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X1 )
          = $true ) )
    | ~ spl1_5 ),
    inference(avatar_component_clause,[],[f107]) ).

thf(f110,definition,
    ( spl1_6
  <=> ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl1_6])],[avatar_definition]) ).

thf(f112,plain,
    ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false )
      = $true )
    | ~ spl1_6 ),
    inference(avatar_component_clause,[],[f110]) ).

thf(f114,plain,
    ( spl1_6
    | spl1_5 ),
    inference(avatar_split_clause,[],[f52,f107,f110]) ).

thf(f115,plain,
    ( ! [X1: $i] :
        ( ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ X1 )
          = $false )
        | ( $false = $true ) )
    | ~ spl1_3
    | ~ spl1_5 ),
    inference(forward_demodulation,[],[f108,f101]) ).

thf(f116,plain,
    ( ! [X1: $i] :
        ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ X1 )
        = $false )
    | ~ spl1_3
    | ~ spl1_5 ),
    inference(trivial_inequality_removal,[],[f115]) ).

thf(f118,plain,
    ( ( $false = $true )
    | ~ spl1_3
    | ~ spl1_5 ),
    inference(constrained_superposition,[],[f116,f20]) ).

thf(f121,plain,
    ( $false
    | ~ spl1_3
    | ~ spl1_5 ),
    inference(trivial_inequality_removal,[],[f118]) ).

thf(f122,plain,
    ( ~ spl1_3
    | ~ spl1_5 ),
    inference(avatar_contradiction_clause,[],[f121]) ).

thf(f123,plain,
    ( $false
    | ~ spl1_2
    | ~ spl1_6 ),
    inference(forward_subsumption_resolution,[],[f112,f97]) ).

thf(f124,plain,
    ( ~ spl1_2
    | ~ spl1_6 ),
    inference(avatar_contradiction_clause,[],[f123]) ).

thf(f125,plain,
    ( ( $false = $true )
    | ~ spl1_1
    | ~ spl1_3 ),
    inference(forward_demodulation,[],[f94,f101]) ).

thf(f126,plain,
    ( $false
    | ~ spl1_1
    | ~ spl1_3 ),
    inference(trivial_inequality_removal,[],[f125]) ).

thf(f127,plain,
    ( ~ spl1_1
    | ~ spl1_3 ),
    inference(avatar_contradiction_clause,[],[f126]) ).

thf(f128,plain,
    ( $false
    | ~ spl1_4 ),
    inference(forward_subsumption_resolution,[],[f104,f23]) ).

thf(f129,plain,
    ~ spl1_4,
    inference(avatar_contradiction_clause,[],[f128]) ).

cnf(s1,plain,
    ( spl1_1
    | spl1_2 ),
    inference(sat_conversion,[],[f98]) ).

cnf(s2,plain,
    ( spl1_3
    | spl1_4 ),
    inference(sat_conversion,[],[f105]) ).

cnf(s4,plain,
    ( spl1_5
    | spl1_6 ),
    inference(sat_conversion,[],[f114]) ).

cnf(s6,plain,
    ( ~ spl1_3
    | ~ spl1_5 ),
    inference(sat_conversion,[],[f122]) ).

cnf(s7,plain,
    ( ~ spl1_2
    | ~ spl1_6 ),
    inference(sat_conversion,[],[f124]) ).

cnf(s8,plain,
    ( ~ spl1_1
    | ~ spl1_3 ),
    inference(sat_conversion,[],[f127]) ).

cnf(s9,plain,
    ~ spl1_4,
    inference(sat_conversion,[],[f129]) ).

cnf(s10,plain,
    spl1_3,
    inference(rat,[],[s2,s9]) ).

cnf(s11,plain,
    ~ spl1_1,
    inference(rat,[],[s8,s10]) ).

cnf(s12,plain,
    ~ spl1_5,
    inference(rat,[],[s6,s10]) ).

cnf(s13,plain,
    spl1_6,
    inference(rat,[],[s4,s12]) ).

cnf(s14,plain,
    ~ spl1_2,
    inference(rat,[],[s7,s13]) ).

cnf(s15,plain,
    $false,
    inference(rat,[],[s1,s14,s11]) ).

thf(f130,plain,
    $false,
    inference(avatar_sat_refutation,[],[s15]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR148^1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.18  % Computer : n017.cluster.edu
% 0.08/0.18  % Model    : x86_64 x86_64
% 0.08/0.18  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18  % Memory   : 8046.5625MB
% 0.08/0.18  % OS       : Linux 6.8.0-71-generic
% 0.08/0.19  % CPULimit : 300
% 0.08/0.19  % WCLimit  : 300
% 0.08/0.19  % DateTime : Tue Sep 29 17:52:22 UTC 2026
% 0.08/0.19  % CPUTime  : 
% 0.08/0.19  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.22  Running higher-order theorem proving
% 0.08/0.23  Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.31  % (680208)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.20/0.31  % (680220)lrs+10_16_si=on:nwc=1.5:random_seed=939777080:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.20/0.31  % (680220)Refutation not found, incomplete strategy
% 0.20/0.31  % (680220)------------------------------
% 0.20/0.31  % (680220)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.31  % (680220)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.31  % (680220)CaDiCaL version: 2.1.3
% 0.20/0.31  % (680220)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.31  % (680220)Time elapsed: 0.001 s
% 0.20/0.31  % (680220)Peak memory usage: 12 MB
% 0.20/0.31  % (680220)Instructions burned: 1 (million)
% 0.20/0.31  % (680220)------------------------------
% 0.20/0.31  % (680220)------------------------------
% 0.20/0.31  % (680225)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.20/0.31  % (680225)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.20/0.31  % (680219)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1084831490:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.20/0.31  % (680221)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=1490025832:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.20/0.31  % (680223)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=209273499:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.20/0.31  % (680224)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=1376866880:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.20/0.31  % (680222)dis+1002_4:1_sfv=off:to=lpo:plsq=on:fde=none:e2e=on:si=on:spb=non_intro:acc=on:uwa=off:fd=preordered:foolp=on:s2agt=32:slsqc=1:slsq=on:random_seed=3000883180:hsq=on:hsqr=16,1:s2a=on:i=634:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2999 on theBenchmark for (2999ds/634Mi)
% 0.20/0.31  % (680225)dis+1002_8_to=kbo:sil=128000:tgt=full:drc=off:si=on:sp=const_max:lma=off:spb=non_intro:cbe=off:uwa=interpreted_only:random_seed=776024365:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.20/0.31  % (680219)Refutation not found, incomplete strategy
% 0.20/0.31  % (680219)------------------------------
% 0.20/0.31  % (680219)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.31  % (680219)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.31  % (680219)CaDiCaL version: 2.1.3
% 0.20/0.31  % (680219)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.31  % (680219)Time elapsed: 0.001 s
% 0.20/0.31  % (680219)Peak memory usage: 12 MB
% 0.20/0.31  % (680219)Instructions burned: 1 (million)
% 0.20/0.31  % (680221)Refutation not found, incomplete strategy
% 0.20/0.31  % (680221)------------------------------
% 0.20/0.31  % (680221)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.31  % (680221)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.31  % (680221)CaDiCaL version: 2.1.3
% 0.20/0.31  % (680223)Refutation not found, incomplete strategy
% 0.20/0.31  % (680223)------------------------------
% 0.20/0.31  % (680223)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.31  % (680221)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.31  % (680221)Time elapsed: 0.001 s
% 0.20/0.31  % (680221)Peak memory usage: 12 MB
% 0.20/0.31  % (680221)Instructions burned: 1 (million)
% 0.20/0.31  % (680223)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.31  % (680223)CaDiCaL version: 2.1.3
% 0.20/0.31  % (680223)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.31  % (680223)Time elapsed: 0.001 s
% 0.20/0.31  % (680223)Peak memory usage: 11 MB
% 0.20/0.31  % (680223)Instructions burned: 1 (million)
% 0.20/0.31  % (680219)------------------------------
% 0.20/0.31  % (680219)------------------------------
% 0.20/0.31  % (680221)------------------------------
% 0.20/0.31  % (680221)------------------------------
% 0.20/0.31  % (680223)------------------------------
% 0.20/0.31  % (680223)------------------------------
% 0.20/0.31  % (680222)Refutation not found, incomplete strategy
% 0.20/0.31  % (680222)------------------------------
% 0.20/0.31  % (680222)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.31  % (680222)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.31  % (680222)CaDiCaL version: 2.1.3
% 0.20/0.31  % (680222)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.31  % (680222)Time elapsed: 0.002 s
% 0.20/0.31  % (680222)Peak memory usage: 12 MB
% 0.20/0.31  % (680222)Instructions burned: 2 (million)
% 0.20/0.31  % (680224)Refutation not found, incomplete strategy
% 0.20/0.31  % (680224)------------------------------
% 0.20/0.31  % (680224)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.31  % (680224)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.31  % (680224)CaDiCaL version: 2.1.3
% 0.20/0.31  % (680224)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.31  % (680224)Time elapsed: 0.003 s
% 0.20/0.31  % (680224)Peak memory usage: 12 MB
% 0.20/0.31  % (680224)Instructions burned: 3 (million)
% 0.20/0.31  % (680222)------------------------------
% 0.20/0.31  % (680222)------------------------------
% 0.20/0.31  % (680225)Refutation not found, incomplete strategy
% 0.20/0.31  % (680225)------------------------------
% 0.20/0.31  % (680225)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.31  % (680224)------------------------------
% 0.20/0.31  % (680224)------------------------------
% 0.20/0.31  % (680225)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.31  % (680225)CaDiCaL version: 2.1.3
% 0.20/0.31  % (680225)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.31  % (680225)Time elapsed: 0.003 s
% 0.20/0.31  % (680225)Peak memory usage: 12 MB
% 0.20/0.31  % (680225)Instructions burned: 4 (million)
% 0.20/0.31  % (680225)------------------------------
% 0.20/0.31  % (680225)------------------------------
% 0.20/0.31  % (680230)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=4039080531:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.20/0.31  % (680230)Instruction limit reached! 
% 0.20/0.31  % (680230)------------------------------
% 0.20/0.31  % (680230)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.31  % (680230)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.31  % (680230)CaDiCaL version: 2.1.3
% 0.20/0.31  % (680230)Termination reason: Instruction limit
% 0.20/0.31  % (680230)Termination phase: Saturation
% 0.20/0.31  % (680230)Time elapsed: 0.002 s
% 0.20/0.31  % (680230)Peak memory usage: 12 MB
% 0.20/0.31  % (680230)Instructions burned: 5 (million)
% 0.20/0.31  % (680247)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.20/0.31  % (680238)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.20/0.31  % (680247)ott+1002_20_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:plsqr=1,32:bce=on:uwa=interpreted_only:foolp=on:random_seed=874114547:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.20/0.31  % (680240)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.20/0.31  % (680247)Instruction limit reached! 
% 0.20/0.31  % (680247)------------------------------
% 0.20/0.31  % (680247)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.31  % (680247)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.31  % (680240)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.20/0.31  % (680247)CaDiCaL version: 2.1.3
% 0.20/0.31  % (680247)Termination reason: Instruction limit
% 0.20/0.31  % (680247)Termination phase: Saturation
% 0.20/0.31  % (680247)Time elapsed: 0.001 s
% 0.20/0.31  % (680247)Peak memory usage: 12 MB
% 0.20/0.31  % (680247)Instructions burned: 2 (million)
% 0.20/0.31  % (680237)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=1894100210:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.20/0.31  % (680238)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=178286384:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.20/0.31  % (680239)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=276297307:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.20/0.31  % (680242)lrs+1002_64_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:sp=occurrence:lma=off:plsqr=32,1:uwa=interpreted_only:random_seed=2412893611:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.20/0.31  % (680240)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=4010981259:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.20/0.31  % (680244)lrs+10_1_si=on:cs=on:random_seed=2790543171:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.20/0.31  % (680239)Refutation not found, incomplete strategy
% 0.20/0.31  % (680239)------------------------------
% 0.20/0.31  % (680239)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.31  % (680239)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.31  % (680239)CaDiCaL version: 2.1.3
% 0.20/0.31  % (680239)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.31  % (680239)Time elapsed: 0.003 s
% 0.20/0.31  % (680239)Peak memory usage: 12 MB
% 0.20/0.31  % (680239)Instructions burned: 3 (million)
% 0.20/0.31  % (680237)Instruction limit reached! 
% 0.20/0.31  % (680237)------------------------------
% 0.20/0.31  % (680237)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.31  % (680237)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.31  % (680237)CaDiCaL version: 2.1.3
% 0.20/0.31  % (680237)Termination reason: Instruction limit
% 0.20/0.31  % (680237)Termination phase: Saturation
% 0.20/0.31  % (680237)Time elapsed: 0.004 s
% 0.20/0.31  % (680237)Peak memory usage: 11 MB
% 0.20/0.31  % (680237)Instructions burned: 5 (million)
% 0.20/0.31  % (680242)Refutation not found, incomplete strategy
% 0.20/0.31  % (680242)------------------------------
% 0.20/0.31  % (680242)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.31  % (680242)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.31  % (680242)CaDiCaL version: 2.1.3
% 0.20/0.31  % (680242)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.31  % (680242)Time elapsed: 0.003 s
% 0.20/0.31  % (680242)Peak memory usage: 12 MB
% 0.20/0.31  % (680242)Instructions burned: 3 (million)
% 0.20/0.31  % (680239)------------------------------
% 0.20/0.31  % (680239)------------------------------
% 0.20/0.31  % (680244) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-680208-680244"...
% 0.20/0.31  % (680242)------------------------------
% 0.20/0.31  % (680242)------------------------------
% 0.20/0.31  % (680238)Instruction limit reached! 
% 0.20/0.31  % (680238)------------------------------
% 0.20/0.31  % (680238)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.31  % (680238)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.31  % (680238)CaDiCaL version: 2.1.3
% 0.20/0.31  % (680238)Termination reason: Instruction limit
% 0.20/0.31  % (680238)Termination phase: Saturation
% 0.20/0.31  % (680238)Time elapsed: 0.005 s
% 0.20/0.31  % (680238)Peak memory usage: 12 MB
% 0.20/0.31  % (680238)Instructions burned: 8 (million)
% 0.20/0.31  % (680240)Refutation not found, incomplete strategy
% 0.20/0.31  % (680240)------------------------------
% 0.20/0.31  % (680240)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.31  % (680240)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.31  % (680240)CaDiCaL version: 2.1.3
% 0.20/0.31  % (680240)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.31  % (680240)Time elapsed: 0.004 s
% 0.20/0.31  % (680240)Peak memory usage: 12 MB
% 0.20/0.31  % (680240)Instructions burned: 6 (million)
% 0.20/0.31  % (680240)------------------------------
% 0.20/0.31  % (680240)------------------------------
% 0.20/0.31  % (680244)...printing done.
% 0.20/0.31  % (680244)Refutation found. Thanks to Tanya!
% 0.20/0.31  % SZS status Theorem for theBenchmark
% 0.20/0.31  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.31  % (680244)------------------------------
% 0.20/0.31  % (680244)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.31  % (680244)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.31  % (680244)CaDiCaL version: 2.1.3
% 0.20/0.31  % (680244)Termination reason: Refutation
% 0.20/0.31  % (680244)Time elapsed: 0.004 s
% 0.20/0.31  % (680244)Peak memory usage: 13 MB
% 0.20/0.31  % (680244)Instructions burned: 5 (million)
% 0.20/0.31  % (680208)Success in time 0.071 s
% 0.20/0.31  % Vampire exiting
%------------------------------------------------------------------------------