TSTP Solution File: COM133+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : COM133+1 : TPTP v8.1.0. Released v6.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n011.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 15:53:57 EDT 2022

% Result   : Theorem 0.20s 0.59s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   60 (   7 unt;   0 def)
%            Number of atoms       :  210 (  73 equ)
%            Maximal formula atoms :    6 (   3 avg)
%            Number of connectives :  253 ( 103   ~;  97   |;  35   &)
%                                         (   2 <=>;  16  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   9 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   3 prp; 0-3 aty)
%            Number of functors    :   11 (  11 usr;   8 con; 0-3 aty)
%            Number of variables   :  291 ( 263   !;  28   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f654,plain,
    $false,
    inference(avatar_sat_refutation,[],[f641,f649,f653]) ).

fof(f653,plain,
    ~ spl94_1,
    inference(avatar_contradiction_clause,[],[f652]) ).

fof(f652,plain,
    ( $false
    | ~ spl94_1 ),
    inference(subsumption_resolution,[],[f651,f471]) ).

fof(f471,plain,
    vtcheck(sK67,sK61,sK63),
    inference(cnf_transformation,[],[f325]) ).

fof(f325,plain,
    ( ~ vtcheck(sK67,vsubst(sK65,sK61,vabs(sK64,sK66,veabs)),sK62)
    & vtcheck(vbind(sK65,sK63,sK67),vabs(sK64,sK66,veabs),sK62)
    & vtcheck(sK67,sK61,sK63) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK61,sK62,sK63,sK64,sK65,sK66,sK67])],[f323,f324]) ).

fof(f324,plain,
    ( ? [X0,X1,X2,X3,X4,X5,X6] :
        ( ~ vtcheck(X6,vsubst(X4,X0,vabs(X3,X5,veabs)),X1)
        & vtcheck(vbind(X4,X2,X6),vabs(X3,X5,veabs),X1)
        & vtcheck(X6,X0,X2) )
   => ( ~ vtcheck(sK67,vsubst(sK65,sK61,vabs(sK64,sK66,veabs)),sK62)
      & vtcheck(vbind(sK65,sK63,sK67),vabs(sK64,sK66,veabs),sK62)
      & vtcheck(sK67,sK61,sK63) ) ),
    introduced(choice_axiom,[]) ).

fof(f323,plain,
    ? [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ vtcheck(X6,vsubst(X4,X0,vabs(X3,X5,veabs)),X1)
      & vtcheck(vbind(X4,X2,X6),vabs(X3,X5,veabs),X1)
      & vtcheck(X6,X0,X2) ),
    inference(rectify,[],[f183]) ).

fof(f183,plain,
    ? [X4,X5,X3,X6,X1,X2,X0] :
      ( ~ vtcheck(X0,vsubst(X1,X4,vabs(X6,X2,veabs)),X5)
      & vtcheck(vbind(X1,X3,X0),vabs(X6,X2,veabs),X5)
      & vtcheck(X0,X4,X3) ),
    inference(flattening,[],[f182]) ).

fof(f182,plain,
    ? [X0,X1,X2,X6,X4,X3,X5] :
      ( ~ vtcheck(X0,vsubst(X1,X4,vabs(X6,X2,veabs)),X5)
      & vtcheck(X0,X4,X3)
      & vtcheck(vbind(X1,X3,X0),vabs(X6,X2,veabs),X5) ),
    inference(ennf_transformation,[],[f79]) ).

fof(f79,plain,
    ~ ! [X0,X1,X2,X6,X4,X3,X5] :
        ( ( vtcheck(X0,X4,X3)
          & vtcheck(vbind(X1,X3,X0),vabs(X6,X2,veabs),X5) )
       => vtcheck(X0,vsubst(X1,X4,vabs(X6,X2,veabs)),X5) ),
    inference(rectify,[],[f63]) ).

fof(f63,negated_conjecture,
    ~ ! [X19,X8,X9,X14,X10,X33,X20] :
        ( ( vtcheck(X19,X10,X14)
          & vtcheck(vbind(X8,X14,X19),vabs(X20,X9,veabs),X33) )
       => vtcheck(X19,vsubst(X8,X10,vabs(X20,X9,veabs)),X33) ),
    inference(negated_conjecture,[],[f62]) ).

fof(f62,conjecture,
    ! [X19,X8,X9,X14,X10,X33,X20] :
      ( ( vtcheck(X19,X10,X14)
        & vtcheck(vbind(X8,X14,X19),vabs(X20,X9,veabs),X33) )
     => vtcheck(X19,vsubst(X8,X10,vabs(X20,X9,veabs)),X33) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','T-subst-abs') ).

fof(f651,plain,
    ( ~ vtcheck(sK67,sK61,sK63)
    | ~ spl94_1 ),
    inference(resolution,[],[f636,f473]) ).

fof(f473,plain,
    ~ vtcheck(sK67,vsubst(sK65,sK61,vabs(sK64,sK66,veabs)),sK62),
    inference(cnf_transformation,[],[f325]) ).

fof(f636,plain,
    ( ! [X0] :
        ( vtcheck(sK67,vsubst(sK65,X0,vabs(sK64,sK66,veabs)),sK62)
        | ~ vtcheck(sK67,X0,sK63) )
    | ~ spl94_1 ),
    inference(avatar_component_clause,[],[f635]) ).

fof(f635,plain,
    ( spl94_1
  <=> ! [X0] :
        ( ~ vtcheck(sK67,X0,sK63)
        | vtcheck(sK67,vsubst(sK65,X0,vabs(sK64,sK66,veabs)),sK62) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl94_1])]) ).

fof(f649,plain,
    ~ spl94_2,
    inference(avatar_contradiction_clause,[],[f648]) ).

fof(f648,plain,
    ( $false
    | ~ spl94_2 ),
    inference(resolution,[],[f647,f471]) ).

fof(f647,plain,
    ( ! [X0] : ~ vtcheck(sK67,X0,sK63)
    | ~ spl94_2 ),
    inference(subsumption_resolution,[],[f645,f644]) ).

fof(f644,plain,
    ( ~ vtcheck(sK67,vabs(sK64,sK66,veabs),sK62)
    | ~ spl94_2 ),
    inference(forward_demodulation,[],[f642,f601]) ).

fof(f601,plain,
    ! [X2,X3,X8,X6] : vabs(X6,X2,X3) = vsubst(X6,X8,vabs(X6,X2,X3)),
    inference(equality_resolution,[],[f600]) ).

fof(f600,plain,
    ! [X2,X3,X8,X6,X4] :
      ( vabs(X6,X2,X3) = vsubst(X6,X8,X4)
      | vabs(X6,X2,X3) != X4 ),
    inference(equality_resolution,[],[f599]) ).

fof(f599,plain,
    ! [X2,X3,X8,X6,X4,X5] :
      ( vsubst(X6,X8,X4) != X5
      | vabs(X6,X2,X3) = X5
      | vabs(X6,X2,X3) != X4 ),
    inference(equality_resolution,[],[f598]) ).

fof(f598,plain,
    ! [X2,X3,X1,X8,X6,X4,X5] :
      ( X1 != X6
      | vsubst(X6,X8,X4) != X5
      | vabs(X1,X2,X3) = X5
      | vabs(X1,X2,X3) != X4 ),
    inference(equality_resolution,[],[f597]) ).

fof(f597,plain,
    ! [X2,X3,X0,X1,X8,X6,X4,X5] :
      ( X0 != X6
      | X0 != X1
      | vsubst(X6,X8,X4) != X5
      | vabs(X1,X2,X3) = X5
      | vabs(X1,X2,X3) != X4 ),
    inference(equality_resolution,[],[f437]) ).

fof(f437,plain,
    ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
      ( X7 != X8
      | X0 != X6
      | X0 != X1
      | vsubst(X6,X8,X4) != X5
      | vabs(X1,X2,X3) = X5
      | vabs(X1,X2,X3) != X4 ),
    inference(cnf_transformation,[],[f296]) ).

fof(f296,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( X7 != X8
      | X0 != X6
      | X0 != X1
      | vsubst(X6,X8,X4) != X5
      | vabs(X1,X2,X3) = X5
      | vabs(X1,X2,X3) != X4 ),
    inference(rectify,[],[f144]) ).

fof(f144,plain,
    ! [X1,X8,X6,X3,X7,X2,X5,X4,X0] :
      ( X0 != X4
      | X1 != X5
      | X1 != X8
      | vsubst(X5,X0,X7) != X2
      | vabs(X8,X6,X3) = X2
      | vabs(X8,X6,X3) != X7 ),
    inference(flattening,[],[f143]) ).

fof(f143,plain,
    ! [X7,X8,X1,X0,X4,X3,X2,X6,X5] :
      ( vabs(X8,X6,X3) = X2
      | vsubst(X5,X0,X7) != X2
      | X1 != X8
      | vabs(X8,X6,X3) != X7
      | X1 != X5
      | X0 != X4 ),
    inference(ennf_transformation,[],[f120]) ).

fof(f120,plain,
    ! [X7,X8,X1,X0,X4,X3,X2,X6,X5] :
      ( ( vabs(X8,X6,X3) = X7
        & X1 = X5
        & X0 = X4 )
     => ( X1 = X8
       => ( vsubst(X5,X0,X7) = X2
         => vabs(X8,X6,X3) = X2 ) ) ),
    inference(rectify,[],[f32]) ).

fof(f32,axiom,
    ! [X3,X8,X18,X11,X10,X0,X14,X5,X20] :
      ( ( X0 = X8
        & X3 = X10
        & vabs(X20,X14,X11) = X5 )
     => ( X8 = X20
       => ( vsubst(X0,X3,X5) = X18
         => vabs(X20,X14,X11) = X18 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subst3) ).

fof(f642,plain,
    ( ~ vtcheck(sK67,vsubst(sK64,sK61,vabs(sK64,sK66,veabs)),sK62)
    | ~ spl94_2 ),
    inference(backward_demodulation,[],[f473,f640]) ).

fof(f640,plain,
    ( sK64 = sK65
    | ~ spl94_2 ),
    inference(avatar_component_clause,[],[f638]) ).

fof(f638,plain,
    ( spl94_2
  <=> sK64 = sK65 ),
    introduced(avatar_definition,[new_symbols(naming,[spl94_2])]) ).

fof(f645,plain,
    ( ! [X0] :
        ( ~ vtcheck(sK67,X0,sK63)
        | vtcheck(sK67,vabs(sK64,sK66,veabs),sK62) )
    | ~ spl94_2 ),
    inference(resolution,[],[f643,f626]) ).

fof(f626,plain,
    ! [X2,X3,X0,X1,X6,X7,X4] :
      ( ~ vtcheck(vbind(X7,X0,X3),vabs(X7,X4,X6),X2)
      | vtcheck(X3,vabs(X7,X4,X6),X2)
      | ~ vtcheck(X3,X1,X0) ),
    inference(backward_demodulation,[],[f596,f601]) ).

fof(f596,plain,
    ! [X2,X3,X0,X1,X6,X7,X4] :
      ( ~ vtcheck(vbind(X7,X0,X3),vabs(X7,X4,X6),X2)
      | vtcheck(X3,vsubst(X7,X1,vabs(X7,X4,X6)),X2)
      | ~ vtcheck(X3,X1,X0) ),
    inference(equality_resolution,[],[f436]) ).

fof(f436,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( vtcheck(X3,vsubst(X5,X1,vabs(X7,X4,X6)),X2)
      | ~ vtcheck(X3,X1,X0)
      | X5 != X7
      | ~ vtcheck(vbind(X5,X0,X3),vabs(X7,X4,X6),X2) ),
    inference(cnf_transformation,[],[f295]) ).

fof(f295,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( vtcheck(X3,vsubst(X5,X1,vabs(X7,X4,X6)),X2)
      | ~ vtcheck(X3,X1,X0)
      | X5 != X7
      | ~ vtcheck(vbind(X5,X0,X3),vabs(X7,X4,X6),X2) ),
    inference(rectify,[],[f173]) ).

fof(f173,plain,
    ! [X7,X2,X4,X3,X0,X1,X6,X5] :
      ( vtcheck(X3,vsubst(X1,X2,vabs(X5,X0,X6)),X4)
      | ~ vtcheck(X3,X2,X7)
      | X1 != X5
      | ~ vtcheck(vbind(X1,X7,X3),vabs(X5,X0,X6),X4) ),
    inference(flattening,[],[f172]) ).

fof(f172,plain,
    ! [X1,X5,X7,X2,X3,X0,X6,X4] :
      ( vtcheck(X3,vsubst(X1,X2,vabs(X5,X0,X6)),X4)
      | ~ vtcheck(X3,X2,X7)
      | X1 != X5
      | ~ vtcheck(vbind(X1,X7,X3),vabs(X5,X0,X6),X4) ),
    inference(ennf_transformation,[],[f116]) ).

fof(f116,plain,
    ! [X1,X5,X7,X2,X3,X0,X6,X4] :
      ( ( vtcheck(X3,X2,X7)
        & X1 = X5
        & vtcheck(vbind(X1,X7,X3),vabs(X5,X0,X6),X4) )
     => vtcheck(X3,vsubst(X1,X2,vabs(X5,X0,X6)),X4) ),
    inference(rectify,[],[f59]) ).

fof(f59,axiom,
    ! [X9,X8,X10,X19,X33,X20,X11,X14] :
      ( ( vtcheck(X19,X10,X14)
        & vtcheck(vbind(X8,X14,X19),vabs(X20,X9,X11),X33)
        & X8 = X20 )
     => vtcheck(X19,vsubst(X8,X10,vabs(X20,X9,X11)),X33) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','T-subst-abs-1') ).

fof(f643,plain,
    ( vtcheck(vbind(sK64,sK63,sK67),vabs(sK64,sK66,veabs),sK62)
    | ~ spl94_2 ),
    inference(backward_demodulation,[],[f472,f640]) ).

fof(f472,plain,
    vtcheck(vbind(sK65,sK63,sK67),vabs(sK64,sK66,veabs),sK62),
    inference(cnf_transformation,[],[f325]) ).

fof(f641,plain,
    ( spl94_1
    | spl94_2 ),
    inference(avatar_split_clause,[],[f633,f638,f635]) ).

fof(f633,plain,
    ! [X0] :
      ( sK64 = sK65
      | ~ vtcheck(sK67,X0,sK63)
      | vtcheck(sK67,vsubst(sK65,X0,vabs(sK64,sK66,veabs)),sK62) ),
    inference(resolution,[],[f625,f472]) ).

fof(f625,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( ~ vtcheck(vbind(X1,X3,X4),vabs(X2,X5,veabs),X0)
      | ~ vtcheck(X4,X6,X3)
      | vtcheck(X4,vsubst(X1,X6,vabs(X2,X5,veabs)),X0)
      | X1 = X2 ),
    inference(subsumption_resolution,[],[f362,f361]) ).

fof(f361,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( ~ visFreeVar(X5,X3)
      | ~ vtcheck(X2,X3,X1)
      | vtcheck(X2,vsubst(X6,X3,vabs(X5,X4,veabs)),X0)
      | ~ vtcheck(vbind(X6,X1,X2),vabs(X5,X4,veabs),X0)
      | X5 = X6 ),
    inference(cnf_transformation,[],[f240]) ).

fof(f240,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ vtcheck(vbind(X6,X1,X2),vabs(X5,X4,veabs),X0)
      | ~ visFreeVar(X5,X3)
      | ~ vtcheck(X2,X3,X1)
      | X5 = X6
      | vtcheck(X2,vsubst(X6,X3,vabs(X5,X4,veabs)),X0) ),
    inference(rectify,[],[f154]) ).

fof(f154,plain,
    ! [X0,X3,X4,X5,X6,X1,X2] :
      ( ~ vtcheck(vbind(X2,X3,X4),vabs(X1,X6,veabs),X0)
      | ~ visFreeVar(X1,X5)
      | ~ vtcheck(X4,X5,X3)
      | X1 = X2
      | vtcheck(X4,vsubst(X2,X5,vabs(X1,X6,veabs)),X0) ),
    inference(flattening,[],[f153]) ).

fof(f153,plain,
    ! [X1,X5,X2,X4,X3,X0,X6] :
      ( vtcheck(X4,vsubst(X2,X5,vabs(X1,X6,veabs)),X0)
      | ~ vtcheck(X4,X5,X3)
      | X1 = X2
      | ~ visFreeVar(X1,X5)
      | ~ vtcheck(vbind(X2,X3,X4),vabs(X1,X6,veabs),X0) ),
    inference(ennf_transformation,[],[f83]) ).

fof(f83,plain,
    ! [X1,X5,X2,X4,X3,X0,X6] :
      ( ( vtcheck(X4,X5,X3)
        & X1 != X2
        & visFreeVar(X1,X5)
        & vtcheck(vbind(X2,X3,X4),vabs(X1,X6,veabs),X0) )
     => vtcheck(X4,vsubst(X2,X5,vabs(X1,X6,veabs)),X0) ),
    inference(rectify,[],[f61]) ).

fof(f61,axiom,
    ! [X33,X20,X8,X14,X19,X10,X9] :
      ( ( visFreeVar(X20,X10)
        & vtcheck(X19,X10,X14)
        & vtcheck(vbind(X8,X14,X19),vabs(X20,X9,veabs),X33)
        & X8 != X20 )
     => vtcheck(X19,vsubst(X8,X10,vabs(X20,X9,veabs)),X33) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','T-subst-abs-3') ).

fof(f362,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( visFreeVar(X2,X6)
      | ~ vtcheck(vbind(X1,X3,X4),vabs(X2,X5,veabs),X0)
      | vtcheck(X4,vsubst(X1,X6,vabs(X2,X5,veabs)),X0)
      | ~ vtcheck(X4,X6,X3)
      | X1 = X2 ),
    inference(cnf_transformation,[],[f241]) ).

fof(f241,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ vtcheck(vbind(X1,X3,X4),vabs(X2,X5,veabs),X0)
      | vtcheck(X4,vsubst(X1,X6,vabs(X2,X5,veabs)),X0)
      | X1 = X2
      | visFreeVar(X2,X6)
      | ~ vtcheck(X4,X6,X3) ),
    inference(rectify,[],[f128]) ).

fof(f128,plain,
    ! [X2,X6,X3,X0,X5,X1,X4] :
      ( ~ vtcheck(vbind(X6,X0,X5),vabs(X3,X1,veabs),X2)
      | vtcheck(X5,vsubst(X6,X4,vabs(X3,X1,veabs)),X2)
      | X3 = X6
      | visFreeVar(X3,X4)
      | ~ vtcheck(X5,X4,X0) ),
    inference(flattening,[],[f127]) ).

fof(f127,plain,
    ! [X0,X6,X4,X3,X1,X5,X2] :
      ( vtcheck(X5,vsubst(X6,X4,vabs(X3,X1,veabs)),X2)
      | visFreeVar(X3,X4)
      | ~ vtcheck(vbind(X6,X0,X5),vabs(X3,X1,veabs),X2)
      | X3 = X6
      | ~ vtcheck(X5,X4,X0) ),
    inference(ennf_transformation,[],[f73]) ).

fof(f73,plain,
    ! [X0,X6,X4,X3,X1,X5,X2] :
      ( ( ~ visFreeVar(X3,X4)
        & vtcheck(vbind(X6,X0,X5),vabs(X3,X1,veabs),X2)
        & X3 != X6
        & vtcheck(X5,X4,X0) )
     => vtcheck(X5,vsubst(X6,X4,vabs(X3,X1,veabs)),X2) ),
    inference(rectify,[],[f60]) ).

fof(f60,axiom,
    ! [X14,X9,X33,X20,X10,X19,X8] :
      ( ( vtcheck(vbind(X8,X14,X19),vabs(X20,X9,veabs),X33)
        & X8 != X20
        & ~ visFreeVar(X20,X10)
        & vtcheck(X19,X10,X14) )
     => vtcheck(X19,vsubst(X8,X10,vabs(X20,X9,veabs)),X33) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','T-subst-abs-2') ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.13  % Problem    : COM133+1 : TPTP v8.1.0. Released v6.4.0.
% 0.13/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35  % Computer : n011.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % 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 Aug 29 17:24:54 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.52  % (19195)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.55  % (19212)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.20/0.55  % (19204)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.20/0.55  % (19203)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.55  % (19211)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.20/0.56  % (19196)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.57  % (19196)Instruction limit reached!
% 0.20/0.57  % (19196)------------------------------
% 0.20/0.57  % (19196)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57  % (19196)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57  % (19196)Termination reason: Unknown
% 0.20/0.57  % (19196)Termination phase: Property scanning
% 0.20/0.57  
% 0.20/0.57  % (19196)Memory used [KB]: 1279
% 0.20/0.57  % (19196)Time elapsed: 0.013 s
% 0.20/0.57  % (19196)Instructions burned: 8 (million)
% 0.20/0.57  % (19196)------------------------------
% 0.20/0.57  % (19196)------------------------------
% 0.20/0.57  % (19194)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.57  % (19193)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.58  % (19189)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.20/0.58  % (19212)First to succeed.
% 0.20/0.58  % (19190)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.59  % (19192)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.59  % (19212)Refutation found. Thanks to Tanya!
% 0.20/0.59  % SZS status Theorem for theBenchmark
% 0.20/0.59  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.59  % (19212)------------------------------
% 0.20/0.59  % (19212)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.59  % (19212)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.59  % (19212)Termination reason: Refutation
% 0.20/0.59  
% 0.20/0.59  % (19212)Memory used [KB]: 6012
% 0.20/0.59  % (19212)Time elapsed: 0.105 s
% 0.20/0.59  % (19212)Instructions burned: 18 (million)
% 0.20/0.59  % (19212)------------------------------
% 0.20/0.59  % (19212)------------------------------
% 0.20/0.59  % (19188)Success in time 0.228 s
%------------------------------------------------------------------------------