TSTP Solution File: DAT032_1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : DAT032_1 : TPTP v8.1.2. Released v5.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n007.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 : Tue Apr 30 11:03:43 EDT 2024

% Result   : Theorem 2.14s 0.65s
% Output   : Refutation 2.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   27
% Syntax   : Number of formulae    :   89 (  15 unt;   7 typ;   0 def)
%            Number of atoms       :  170 (  35 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  160 (  72   ~;  65   |;   6   &)
%                                         (  13 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number arithmetic     :  280 (  69 atm;  50 fun; 117 num;  44 var)
%            Number of types       :    3 (   1 usr;   1 ari)
%            Number of type conns  :    7 (   4   >;   3   *;   0   +;   0  <<)
%            Number of predicates  :   13 (   9 usr;   9 prp; 0-2 aty)
%            Number of functors    :   15 (   5 usr;   9 con; 0-2 aty)
%            Number of variables   :   61 (  59   !;   2   ?;  61   :)

% 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_13,type,
    sK0: collection ).

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

tff(f7025,plain,
    $false,
    inference(avatar_sat_refutation,[],[f2667,f2677,f3132,f3133,f3205,f3206,f3449,f3450,f6264,f7004]) ).

tff(f7004,plain,
    ( spl1_15
    | ~ spl1_88
    | ~ spl1_186 ),
    inference(avatar_contradiction_clause,[],[f7003]) ).

tff(f7003,plain,
    ( $false
    | spl1_15
    | ~ spl1_88
    | ~ spl1_186 ),
    inference(evaluation,[],[f6276]) ).

tff(f6276,plain,
    ( $less(7,$sum(1,6))
    | spl1_15
    | ~ spl1_88
    | ~ spl1_186 ),
    inference(backward_demodulation,[],[f2147,f6270]) ).

tff(f6270,plain,
    ( ( 6 = count(sK0) )
    | spl1_15
    | ~ spl1_186 ),
    inference(evaluation,[],[f6265]) ).

tff(f6265,plain,
    ( ( 6 = count(sK0) )
    | ~ $less(6,7)
    | spl1_15
    | ~ spl1_186 ),
    inference(resolution,[],[f1782,f3208]) ).

tff(f3208,plain,
    ( ! [X0: $int] :
        ( $less(X0,count(sK0))
        | ( count(sK0) = X0 )
        | ~ $less(X0,7) )
    | ~ spl1_186 ),
    inference(forward_demodulation,[],[f3157,f3131]) ).

tff(f3131,plain,
    ( ( count(remove(5,sK0)) = count(sK0) )
    | ~ spl1_186 ),
    inference(avatar_component_clause,[],[f3129]) ).

tff(f3129,plain,
    ( spl1_186
  <=> ( count(remove(5,sK0)) = count(sK0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_186])]) ).

tff(f3157,plain,
    ( ! [X0: $int] :
        ( $less(X0,count(sK0))
        | ( count(remove(5,sK0)) = X0 )
        | ~ $less(X0,7) )
    | ~ spl1_186 ),
    inference(backward_demodulation,[],[f166,f3131]) ).

tff(f166,plain,
    ! [X0: $int] :
      ( $less(X0,count(remove(5,sK0)))
      | ( count(remove(5,sK0)) = X0 )
      | ~ $less(X0,7) ),
    inference(resolution,[],[f25,f146]) ).

tff(f146,plain,
    ! [X0: $int] :
      ( ~ $less(count(remove(5,sK0)),X0)
      | ~ $less(X0,7) ),
    inference(resolution,[],[f24,f54]) ).

tff(f54,plain,
    ~ $less(count(remove(5,sK0)),7),
    inference(cnf_transformation,[],[f44]) ).

tff(f44,plain,
    ( $less(count(remove(4,sK0)),6)
    & ~ $less(count(remove(5,sK0)),7) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f41,f43]) ).

tff(f43,plain,
    ( ? [X0: collection] :
        ( $less(count(remove(4,X0)),6)
        & ~ $less(count(remove(5,X0)),7) )
   => ( $less(count(remove(4,sK0)),6)
      & ~ $less(count(remove(5,sK0)),7) ) ),
    introduced(choice_axiom,[]) ).

tff(f41,plain,
    ? [X0: collection] :
      ( $less(count(remove(4,X0)),6)
      & ~ $less(count(remove(5,X0)),7) ),
    inference(ennf_transformation,[],[f15]) ).

tff(f15,plain,
    ~ ! [X0: collection] :
        ( ~ $less(count(remove(5,X0)),7)
       => ~ $less(count(remove(4,X0)),6) ),
    inference(theory_normalization,[],[f14]) ).

tff(f14,negated_conjecture,
    ~ ! [X0: collection] :
        ( $greatereq(count(remove(5,X0)),7)
       => $greatereq(count(remove(4,X0)),6) ),
    inference(negated_conjecture,[],[f13]) ).

tff(f13,conjecture,
    ! [X0: collection] :
      ( $greatereq(count(remove(5,X0)),7)
     => $greatereq(count(remove(4,X0)),6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

tff(f24,plain,
    ! [X2: $int,X0: $int,X1: $int] :
      ( $less(X0,X2)
      | ~ $less(X1,X2)
      | ~ $less(X0,X1) ),
    introduced(theory_axiom_143,[]) ).

tff(f25,plain,
    ! [X0: $int,X1: $int] :
      ( $less(X1,X0)
      | $less(X0,X1)
      | ( X0 = X1 ) ),
    introduced(theory_axiom_144,[]) ).

tff(f1782,plain,
    ( ~ $less(6,count(sK0))
    | spl1_15 ),
    inference(avatar_component_clause,[],[f1780]) ).

tff(f1780,plain,
    ( spl1_15
  <=> $less(6,count(sK0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_15])]) ).

tff(f2147,plain,
    ( $less(7,$sum(1,count(sK0)))
    | ~ spl1_88 ),
    inference(avatar_component_clause,[],[f2145]) ).

tff(f2145,plain,
    ( spl1_88
  <=> $less(7,$sum(1,count(sK0))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_88])]) ).

tff(f6264,plain,
    ( ~ spl1_15
    | ~ spl1_93 ),
    inference(avatar_split_clause,[],[f6232,f2664,f1780]) ).

tff(f2664,plain,
    ( spl1_93
  <=> $less($sum(-1,count(sK0)),6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_93])]) ).

tff(f6232,plain,
    ( ~ $less(6,count(sK0))
    | ~ spl1_93 ),
    inference(resolution,[],[f764,f2666]) ).

tff(f2666,plain,
    ( $less($sum(-1,count(sK0)),6)
    | ~ spl1_93 ),
    inference(avatar_component_clause,[],[f2664]) ).

tff(f764,plain,
    ! [X0: $int,X1: $int] :
      ( ~ $less($sum(-1,X0),X1)
      | ~ $less(X1,X0) ),
    inference(evaluation,[],[f760]) ).

tff(f760,plain,
    ! [X0: $int,X1: $int] :
      ( ~ $less(X1,X0)
      | ~ $less($sum($uminus(1),X0),X1) ),
    inference(superposition,[],[f106,f321]) ).

tff(f321,plain,
    ! [X0: $int,X1: $int] : ( $sum(X0,$sum($uminus(X0),X1)) = X1 ),
    inference(evaluation,[],[f301]) ).

tff(f301,plain,
    ! [X0: $int,X1: $int] : ( $sum(0,X1) = $sum(X0,$sum($uminus(X0),X1)) ),
    inference(superposition,[],[f19,f22]) ).

tff(f22,plain,
    ! [X0: $int] : ( 0 = $sum(X0,$uminus(X0)) ),
    introduced(theory_axiom_140,[]) ).

tff(f19,plain,
    ! [X2: $int,X0: $int,X1: $int] : ( $sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2) ),
    introduced(theory_axiom_136,[]) ).

tff(f106,plain,
    ! [X0: $int,X1: $int] :
      ( ~ $less(X1,$sum(1,X0))
      | ~ $less(X0,X1) ),
    inference(superposition,[],[f29,f18]) ).

tff(f18,plain,
    ! [X0: $int,X1: $int] : ( $sum(X0,X1) = $sum(X1,X0) ),
    introduced(theory_axiom_135,[]) ).

tff(f29,plain,
    ! [X0: $int,X1: $int] :
      ( ~ $less(X1,$sum(X0,1))
      | ~ $less(X0,X1) ),
    introduced(theory_axiom_161,[]) ).

tff(f3450,plain,
    ( ~ spl1_17
    | ~ spl1_92 ),
    inference(avatar_split_clause,[],[f3217,f2660,f1790]) ).

tff(f1790,plain,
    ( spl1_17
  <=> $less(7,count(sK0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_17])]) ).

tff(f2660,plain,
    ( spl1_92
  <=> ( count(remove(4,sK0)) = count(sK0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_92])]) ).

tff(f3217,plain,
    ( ~ $less(7,count(sK0))
    | ~ spl1_92 ),
    inference(backward_demodulation,[],[f678,f2662]) ).

tff(f2662,plain,
    ( ( count(remove(4,sK0)) = count(sK0) )
    | ~ spl1_92 ),
    inference(avatar_component_clause,[],[f2660]) ).

tff(f678,plain,
    ~ $less(7,count(remove(4,sK0))),
    inference(resolution,[],[f677,f141]) ).

tff(f141,plain,
    ! [X0: $int,X1: $int] :
      ( ~ $less(X0,X1)
      | ~ $less(X1,X0) ),
    inference(resolution,[],[f24,f23]) ).

tff(f23,plain,
    ! [X0: $int] : ~ $less(X0,X0),
    introduced(theory_axiom_142,[]) ).

tff(f677,plain,
    $less(count(remove(4,sK0)),7),
    inference(evaluation,[],[f676]) ).

tff(f676,plain,
    $less(count(remove(4,sK0)),$sum(6,1)),
    inference(resolution,[],[f658,f27]) ).

tff(f27,plain,
    ! [X0: $int,X1: $int] :
      ( $less(X0,X1)
      | $less(X1,$sum(X0,1)) ),
    introduced(theory_axiom_147,[]) ).

tff(f658,plain,
    ~ $less(6,count(remove(4,sK0))),
    inference(resolution,[],[f141,f55]) ).

tff(f55,plain,
    $less(count(remove(4,sK0)),6),
    inference(cnf_transformation,[],[f44]) ).

tff(f3449,plain,
    ( spl1_16
    | ~ spl1_92 ),
    inference(avatar_split_clause,[],[f3216,f2660,f1785]) ).

tff(f1785,plain,
    ( spl1_16
  <=> $less(count(sK0),7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_16])]) ).

tff(f3216,plain,
    ( $less(count(sK0),7)
    | ~ spl1_92 ),
    inference(backward_demodulation,[],[f677,f2662]) ).

tff(f3206,plain,
    ( spl1_88
    | ~ spl1_186 ),
    inference(avatar_split_clause,[],[f3150,f3129,f2145]) ).

tff(f3150,plain,
    ( $less(7,$sum(1,count(sK0)))
    | ~ spl1_186 ),
    inference(backward_demodulation,[],[f103,f3131]) ).

tff(f103,plain,
    $less(7,$sum(1,count(remove(5,sK0)))),
    inference(forward_demodulation,[],[f100,f18]) ).

tff(f100,plain,
    $less(7,$sum(count(remove(5,sK0)),1)),
    inference(resolution,[],[f27,f54]) ).

tff(f3205,plain,
    ( ~ spl1_16
    | ~ spl1_186 ),
    inference(avatar_split_clause,[],[f3149,f3129,f1785]) ).

tff(f3149,plain,
    ( ~ $less(count(sK0),7)
    | ~ spl1_186 ),
    inference(backward_demodulation,[],[f54,f3131]) ).

tff(f3133,plain,
    ( spl1_186
    | spl1_17 ),
    inference(avatar_split_clause,[],[f2656,f1790,f3129]) ).

tff(f2656,plain,
    ( $less(7,count(sK0))
    | ( count(remove(5,sK0)) = count(sK0) ) ),
    inference(evaluation,[],[f2644]) ).

tff(f2644,plain,
    ( $less(7,$sum(1,$sum(-1,count(sK0))))
    | ( count(remove(5,sK0)) = count(sK0) ) ),
    inference(superposition,[],[f103,f577]) ).

tff(f577,plain,
    ! [X0: $int,X1: collection] :
      ( ( count(remove(X0,X1)) = $sum(-1,count(X1)) )
      | ( count(remove(X0,X1)) = count(X1) ) ),
    inference(resolution,[],[f85,f63]) ).

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

tff(f46,plain,
    ! [X0: $int,X1: collection] :
      ( ( ~ in(X0,X1)
        | ( count(remove(X0,X1)) != count(X1) ) )
      & ( ( count(remove(X0,X1)) = count(X1) )
        | in(X0,X1) ) ),
    inference(nnf_transformation,[],[f35]) ).

tff(f35,plain,
    ! [X0: $int,X1: collection] :
      ( ~ in(X0,X1)
    <=> ( count(remove(X0,X1)) = count(X1) ) ),
    inference(rectify,[],[f11]) ).

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

tff(f85,plain,
    ! [X0: $int,X1: collection] :
      ( ~ in(X0,X1)
      | ( count(remove(X0,X1)) = $sum(-1,count(X1)) ) ),
    inference(forward_demodulation,[],[f80,f18]) ).

tff(f80,plain,
    ! [X0: $int,X1: collection] :
      ( ( count(remove(X0,X1)) = $sum(count(X1),-1) )
      | ~ in(X0,X1) ),
    inference(evaluation,[],[f69]) ).

tff(f69,plain,
    ! [X0: $int,X1: collection] :
      ( ( count(remove(X0,X1)) = $sum(count(X1),$uminus(1)) )
      | ~ in(X0,X1) ),
    inference(cnf_transformation,[],[f49]) ).

tff(f49,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(nnf_transformation,[],[f38]) ).

tff(f38,plain,
    ! [X0: $int,X1: collection] :
      ( in(X0,X1)
    <=> ( count(remove(X0,X1)) = $sum(count(X1),$uminus(1)) ) ),
    inference(rectify,[],[f17]) ).

tff(f17,plain,
    ! [X17: $int,X18: collection] :
      ( in(X17,X18)
    <=> ( count(remove(X17,X18)) = $sum(count(X18),$uminus(1)) ) ),
    inference(theory_normalization,[],[f10]) ).

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

tff(f3132,plain,
    ( spl1_186
    | ~ spl1_95 ),
    inference(avatar_split_clause,[],[f2643,f2674,f3129]) ).

tff(f2674,plain,
    ( spl1_95
  <=> $less($sum(-1,count(sK0)),7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_95])]) ).

tff(f2643,plain,
    ( ~ $less($sum(-1,count(sK0)),7)
    | ( count(remove(5,sK0)) = count(sK0) ) ),
    inference(superposition,[],[f54,f577]) ).

tff(f2677,plain,
    ( spl1_92
    | spl1_95 ),
    inference(avatar_split_clause,[],[f2552,f2674,f2660]) ).

tff(f2552,plain,
    ( $less($sum(-1,count(sK0)),7)
    | ( count(remove(4,sK0)) = count(sK0) ) ),
    inference(superposition,[],[f677,f577]) ).

tff(f2667,plain,
    ( spl1_92
    | spl1_93 ),
    inference(avatar_split_clause,[],[f2550,f2664,f2660]) ).

tff(f2550,plain,
    ( $less($sum(-1,count(sK0)),6)
    | ( count(remove(4,sK0)) = count(sK0) ) ),
    inference(superposition,[],[f55,f577]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : DAT032_1 : TPTP v8.1.2. Released v5.0.0.
% 0.12/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.34  % Computer : n007.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
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Mon Apr 29 22:05:47 EDT 2024
% 0.13/0.35  % CPUTime    : 
% 0.13/0.35  % (27399)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.36  % (27402)WARNING: value z3 for option sas not known
% 0.13/0.36  % (27406)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.13/0.36  % (27404)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.13/0.36  % (27401)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.37  % (27403)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.37  % (27401)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.13/0.37  % (27401)Terminated due to inappropriate strategy.
% 0.13/0.37  % (27401)------------------------------
% 0.13/0.37  % (27401)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.13/0.37  % (27401)Termination reason: Inappropriate
% 0.13/0.37  
% 0.13/0.37  % (27401)Memory used [KB]: 766
% 0.13/0.37  % (27401)Time elapsed: 0.002 s
% 0.13/0.37  % (27401)Instructions burned: 3 (million)
% 0.13/0.37  % (27401)------------------------------
% 0.13/0.37  % (27401)------------------------------
% 0.13/0.37  % (27405)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.13/0.37  % (27403)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.13/0.37  % (27403)Terminated due to inappropriate strategy.
% 0.13/0.37  % (27403)------------------------------
% 0.13/0.37  % (27403)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.13/0.37  % (27403)Termination reason: Inappropriate
% 0.13/0.37  
% 0.13/0.37  % (27403)Memory used [KB]: 766
% 0.13/0.37  % (27403)Time elapsed: 0.002 s
% 0.13/0.37  % (27403)Instructions burned: 3 (million)
% 0.13/0.37  % (27403)------------------------------
% 0.13/0.37  % (27403)------------------------------
% 0.13/0.37  % (27402)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.13/0.37  % (27400)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.37  % (27400)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.13/0.37  % (27400)Terminated due to inappropriate strategy.
% 0.13/0.37  % (27400)------------------------------
% 0.13/0.37  % (27400)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.13/0.37  % (27400)Termination reason: Inappropriate
% 0.13/0.37  
% 0.13/0.37  % (27400)Memory used [KB]: 766
% 0.13/0.37  % (27400)Time elapsed: 0.003 s
% 0.13/0.37  % (27400)Instructions burned: 3 (million)
% 0.13/0.37  % (27400)------------------------------
% 0.13/0.37  % (27400)------------------------------
% 0.13/0.38  % (27407)fmb+10_1_fmbas=expand:fmbsr=1.1:gsp=on:nm=4_411 on theBenchmark for (411ds/0Mi)
% 0.13/0.38  % (27407)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.13/0.38  % (27407)Terminated due to inappropriate strategy.
% 0.13/0.38  % (27407)------------------------------
% 0.13/0.38  % (27407)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.13/0.38  % (27407)Termination reason: Inappropriate
% 0.13/0.38  
% 0.13/0.38  % (27407)Memory used [KB]: 765
% 0.13/0.38  % (27407)Time elapsed: 0.002 s
% 0.13/0.38  % (27407)Instructions burned: 3 (million)
% 0.13/0.38  % (27407)------------------------------
% 0.13/0.38  % (27407)------------------------------
% 0.13/0.38  % (27408)ott+1_9_av=off:bd=off:bs=on:gsp=on:lcm=predicate:nm=4:sp=weighted_frequency:urr=on_382 on theBenchmark for (382ds/0Mi)
% 0.13/0.39  % (27409)lrs-11_2:5_fsd=off:fde=none:nm=4:nwc=5.0:sims=off:sp=reverse_weighted_frequency:stl=62_367 on theBenchmark for (367ds/0Mi)
% 0.13/0.40  % (27410)ott+4_64_acc=on:anc=none:bs=on:bsr=on:fsd=off:gs=on:gsem=off:irw=on:msp=off:nwc=2.5:nicw=on:sims=off_354 on theBenchmark for (354ds/0Mi)
% 2.06/0.64  % (27409)First to succeed.
% 2.14/0.65  % (27409)Refutation found. Thanks to Tanya!
% 2.14/0.65  % SZS status Theorem for theBenchmark
% 2.14/0.65  % SZS output start Proof for theBenchmark
% See solution above
% 2.14/0.65  % (27409)------------------------------
% 2.14/0.65  % (27409)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 2.14/0.65  % (27409)Termination reason: Refutation
% 2.14/0.65  
% 2.14/0.65  % (27409)Memory used [KB]: 2896
% 2.14/0.65  % (27409)Time elapsed: 0.258 s
% 2.14/0.65  % (27409)Instructions burned: 543 (million)
% 2.14/0.65  % (27409)------------------------------
% 2.14/0.65  % (27409)------------------------------
% 2.14/0.65  % (27399)Success in time 0.293 s
%------------------------------------------------------------------------------