TSTP Solution File: COM007+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : COM007+1 : TPTP v8.2.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n005.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 : Mon May 20 19:09:56 EDT 2024

% Result   : Theorem 0.62s 0.80s
% Output   : Refutation 0.62s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   18
% Syntax   : Number of formulae    :   76 (  11 unt;   0 def)
%            Number of atoms       :  184 (   0 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  197 (  89   ~;  83   |;  10   &)
%                                         (   7 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   12 (  11 usr;   9 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :   85 (  81   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f143,plain,
    $false,
    inference(avatar_sat_refutation,[],[f45,f46,f62,f71,f88,f109,f111,f142]) ).

fof(f142,plain,
    ( ~ spl1_1
    | ~ spl1_6 ),
    inference(avatar_contradiction_clause,[],[f141]) ).

fof(f141,plain,
    ( $false
    | ~ spl1_1
    | ~ spl1_6 ),
    inference(resolution,[],[f130,f47]) ).

fof(f47,plain,
    ! [X0] : reflexive_rewrite(X0,X0),
    inference(resolution,[],[f32,f29]) ).

fof(f29,plain,
    ! [X0] : equalish(X0,X0),
    inference(cnf_transformation,[],[f3]) ).

fof(f3,axiom,
    ! [X0] : equalish(X0,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity) ).

fof(f32,plain,
    ! [X0,X1] :
      ( ~ equalish(X0,X1)
      | reflexive_rewrite(X0,X1) ),
    inference(cnf_transformation,[],[f18]) ).

fof(f18,plain,
    ! [X0,X1] :
      ( reflexive_rewrite(X0,X1)
      | ~ equalish(X0,X1) ),
    inference(ennf_transformation,[],[f6]) ).

fof(f6,axiom,
    ! [X0,X1] :
      ( equalish(X0,X1)
     => reflexive_rewrite(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equalish_in_reflexive_rewrite) ).

fof(f130,plain,
    ( ~ reflexive_rewrite(b,b)
    | ~ spl1_1
    | ~ spl1_6 ),
    inference(resolution,[],[f124,f40]) ).

fof(f40,plain,
    ( ! [X0] :
        ( ~ reflexive_rewrite(c,X0)
        | ~ reflexive_rewrite(b,X0) )
    | ~ spl1_1 ),
    inference(avatar_component_clause,[],[f39]) ).

fof(f39,plain,
    ( spl1_1
  <=> ! [X0] :
        ( ~ reflexive_rewrite(c,X0)
        | ~ reflexive_rewrite(b,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_1])]) ).

fof(f124,plain,
    ( reflexive_rewrite(c,b)
    | ~ spl1_6 ),
    inference(resolution,[],[f115,f26]) ).

fof(f26,plain,
    reflexive_rewrite(a,b),
    inference(cnf_transformation,[],[f1]) ).

fof(f1,axiom,
    ( reflexive_rewrite(a,c)
    & reflexive_rewrite(a,b) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption) ).

fof(f115,plain,
    ( ! [X0] :
        ( ~ reflexive_rewrite(a,X0)
        | reflexive_rewrite(c,X0) )
    | ~ spl1_6 ),
    inference(resolution,[],[f113,f31]) ).

fof(f31,plain,
    ! [X2,X0,X1] :
      ( ~ equalish(X0,X1)
      | ~ reflexive_rewrite(X1,X2)
      | reflexive_rewrite(X0,X2) ),
    inference(cnf_transformation,[],[f17]) ).

fof(f17,plain,
    ! [X0,X1,X2] :
      ( reflexive_rewrite(X0,X2)
      | ~ reflexive_rewrite(X1,X2)
      | ~ equalish(X0,X1) ),
    inference(flattening,[],[f16]) ).

fof(f16,plain,
    ! [X0,X1,X2] :
      ( reflexive_rewrite(X0,X2)
      | ~ reflexive_rewrite(X1,X2)
      | ~ equalish(X0,X1) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f5,axiom,
    ! [X0,X1,X2] :
      ( ( reflexive_rewrite(X1,X2)
        & equalish(X0,X1) )
     => reflexive_rewrite(X0,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',substitution) ).

fof(f113,plain,
    ( equalish(c,a)
    | ~ spl1_6 ),
    inference(resolution,[],[f70,f30]) ).

fof(f30,plain,
    ! [X0,X1] :
      ( ~ equalish(X0,X1)
      | equalish(X1,X0) ),
    inference(cnf_transformation,[],[f15]) ).

fof(f15,plain,
    ! [X0,X1] :
      ( equalish(X1,X0)
      | ~ equalish(X0,X1) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,axiom,
    ! [X0,X1] :
      ( equalish(X0,X1)
     => equalish(X1,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmtery) ).

fof(f70,plain,
    ( equalish(a,c)
    | ~ spl1_6 ),
    inference(avatar_component_clause,[],[f68]) ).

fof(f68,plain,
    ( spl1_6
  <=> equalish(a,c) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_6])]) ).

fof(f111,plain,
    ( ~ spl1_3
    | ~ spl1_5
    | ~ spl1_9 ),
    inference(avatar_split_clause,[],[f110,f107,f64,f55]) ).

fof(f55,plain,
    ( spl1_3
  <=> rewrite(a,b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_3])]) ).

fof(f64,plain,
    ( spl1_5
  <=> rewrite(a,c) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_5])]) ).

fof(f107,plain,
    ( spl1_9
  <=> ! [X1] :
        ( ~ rewrite(X1,c)
        | ~ rewrite(X1,b) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_9])]) ).

fof(f110,plain,
    ( ~ rewrite(a,b)
    | ~ spl1_5
    | ~ spl1_9 ),
    inference(resolution,[],[f108,f66]) ).

fof(f66,plain,
    ( rewrite(a,c)
    | ~ spl1_5 ),
    inference(avatar_component_clause,[],[f64]) ).

fof(f108,plain,
    ( ! [X1] :
        ( ~ rewrite(X1,c)
        | ~ rewrite(X1,b) )
    | ~ spl1_9 ),
    inference(avatar_component_clause,[],[f107]) ).

fof(f109,plain,
    ( spl1_9
    | spl1_9
    | ~ spl1_1 ),
    inference(avatar_split_clause,[],[f105,f39,f107,f107]) ).

fof(f105,plain,
    ( ! [X0,X1] :
        ( ~ rewrite(X0,b)
        | ~ rewrite(X0,c)
        | ~ rewrite(X1,c)
        | ~ rewrite(X1,b) )
    | ~ spl1_1 ),
    inference(resolution,[],[f102,f100]) ).

fof(f100,plain,
    ! [X2,X0,X1] :
      ( reflexive_rewrite(X1,sK0(X2,X1))
      | ~ rewrite(X0,X2)
      | ~ rewrite(X0,X1) ),
    inference(resolution,[],[f36,f33]) ).

fof(f33,plain,
    ! [X0,X1] :
      ( ~ rewrite(X0,X1)
      | reflexive_rewrite(X0,X1) ),
    inference(cnf_transformation,[],[f19]) ).

fof(f19,plain,
    ! [X0,X1] :
      ( reflexive_rewrite(X0,X1)
      | ~ rewrite(X0,X1) ),
    inference(ennf_transformation,[],[f7]) ).

fof(f7,axiom,
    ! [X0,X1] :
      ( rewrite(X0,X1)
     => reflexive_rewrite(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rewrite_in_reflexive_rewrite) ).

fof(f36,plain,
    ! [X2,X0,X1] :
      ( rewrite(X2,sK0(X1,X2))
      | ~ rewrite(X0,X2)
      | ~ rewrite(X0,X1) ),
    inference(cnf_transformation,[],[f25]) ).

fof(f25,plain,
    ! [X0,X1,X2] :
      ( ( rewrite(X2,sK0(X1,X2))
        & rewrite(X1,sK0(X1,X2)) )
      | ~ rewrite(X0,X2)
      | ~ rewrite(X0,X1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f23,f24]) ).

fof(f24,plain,
    ! [X1,X2] :
      ( ? [X3] :
          ( rewrite(X2,X3)
          & rewrite(X1,X3) )
     => ( rewrite(X2,sK0(X1,X2))
        & rewrite(X1,sK0(X1,X2)) ) ),
    introduced(choice_axiom,[]) ).

fof(f23,plain,
    ! [X0,X1,X2] :
      ( ? [X3] :
          ( rewrite(X2,X3)
          & rewrite(X1,X3) )
      | ~ rewrite(X0,X2)
      | ~ rewrite(X0,X1) ),
    inference(flattening,[],[f22]) ).

fof(f22,plain,
    ! [X0,X1,X2] :
      ( ? [X3] :
          ( rewrite(X2,X3)
          & rewrite(X1,X3) )
      | ~ rewrite(X0,X2)
      | ~ rewrite(X0,X1) ),
    inference(ennf_transformation,[],[f9]) ).

fof(f9,axiom,
    ! [X0,X1,X2] :
      ( ( rewrite(X0,X2)
        & rewrite(X0,X1) )
     => ? [X3] :
          ( rewrite(X2,X3)
          & rewrite(X1,X3) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rewrite_diamond) ).

fof(f102,plain,
    ( ! [X0,X1] :
        ( ~ reflexive_rewrite(b,sK0(c,X1))
        | ~ rewrite(X0,X1)
        | ~ rewrite(X0,c) )
    | ~ spl1_1 ),
    inference(resolution,[],[f99,f40]) ).

fof(f99,plain,
    ! [X2,X0,X1] :
      ( reflexive_rewrite(X2,sK0(X2,X1))
      | ~ rewrite(X0,X2)
      | ~ rewrite(X0,X1) ),
    inference(resolution,[],[f35,f33]) ).

fof(f35,plain,
    ! [X2,X0,X1] :
      ( rewrite(X1,sK0(X1,X2))
      | ~ rewrite(X0,X2)
      | ~ rewrite(X0,X1) ),
    inference(cnf_transformation,[],[f25]) ).

fof(f88,plain,
    ( ~ spl1_1
    | ~ spl1_4 ),
    inference(avatar_contradiction_clause,[],[f85]) ).

fof(f85,plain,
    ( $false
    | ~ spl1_1
    | ~ spl1_4 ),
    inference(resolution,[],[f83,f48]) ).

fof(f48,plain,
    ( ~ reflexive_rewrite(b,c)
    | ~ spl1_1 ),
    inference(resolution,[],[f47,f40]) ).

fof(f83,plain,
    ( reflexive_rewrite(b,c)
    | ~ spl1_4 ),
    inference(resolution,[],[f76,f27]) ).

fof(f27,plain,
    reflexive_rewrite(a,c),
    inference(cnf_transformation,[],[f1]) ).

fof(f76,plain,
    ( ! [X0] :
        ( ~ reflexive_rewrite(a,X0)
        | reflexive_rewrite(b,X0) )
    | ~ spl1_4 ),
    inference(resolution,[],[f73,f31]) ).

fof(f73,plain,
    ( equalish(b,a)
    | ~ spl1_4 ),
    inference(resolution,[],[f61,f30]) ).

fof(f61,plain,
    ( equalish(a,b)
    | ~ spl1_4 ),
    inference(avatar_component_clause,[],[f59]) ).

fof(f59,plain,
    ( spl1_4
  <=> equalish(a,b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_4])]) ).

fof(f71,plain,
    ( spl1_5
    | spl1_6 ),
    inference(avatar_split_clause,[],[f52,f68,f64]) ).

fof(f52,plain,
    ( equalish(a,c)
    | rewrite(a,c) ),
    inference(resolution,[],[f34,f27]) ).

fof(f34,plain,
    ! [X0,X1] :
      ( ~ reflexive_rewrite(X0,X1)
      | equalish(X0,X1)
      | rewrite(X0,X1) ),
    inference(cnf_transformation,[],[f21]) ).

fof(f21,plain,
    ! [X0,X1] :
      ( rewrite(X0,X1)
      | equalish(X0,X1)
      | ~ reflexive_rewrite(X0,X1) ),
    inference(flattening,[],[f20]) ).

fof(f20,plain,
    ! [X0,X1] :
      ( rewrite(X0,X1)
      | equalish(X0,X1)
      | ~ reflexive_rewrite(X0,X1) ),
    inference(ennf_transformation,[],[f8]) ).

fof(f8,axiom,
    ! [X0,X1] :
      ( reflexive_rewrite(X0,X1)
     => ( rewrite(X0,X1)
        | equalish(X0,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equalish_or_rewrite) ).

fof(f62,plain,
    ( spl1_3
    | spl1_4 ),
    inference(avatar_split_clause,[],[f51,f59,f55]) ).

fof(f51,plain,
    ( equalish(a,b)
    | rewrite(a,b) ),
    inference(resolution,[],[f34,f26]) ).

fof(f46,plain,
    ~ spl1_2,
    inference(avatar_split_clause,[],[f37,f42]) ).

fof(f42,plain,
    ( spl1_2
  <=> goal ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_2])]) ).

fof(f37,plain,
    ~ goal,
    inference(cnf_transformation,[],[f12]) ).

fof(f12,plain,
    ~ goal,
    inference(flattening,[],[f11]) ).

fof(f11,negated_conjecture,
    ~ goal,
    inference(negated_conjecture,[],[f10]) ).

fof(f10,conjecture,
    goal,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal_to_be_proved) ).

fof(f45,plain,
    ( spl1_1
    | spl1_2 ),
    inference(avatar_split_clause,[],[f28,f42,f39]) ).

fof(f28,plain,
    ! [X0] :
      ( goal
      | ~ reflexive_rewrite(c,X0)
      | ~ reflexive_rewrite(b,X0) ),
    inference(cnf_transformation,[],[f14]) ).

fof(f14,plain,
    ! [X0] :
      ( goal
      | ~ reflexive_rewrite(c,X0)
      | ~ reflexive_rewrite(b,X0) ),
    inference(flattening,[],[f13]) ).

fof(f13,plain,
    ! [X0] :
      ( goal
      | ~ reflexive_rewrite(c,X0)
      | ~ reflexive_rewrite(b,X0) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f2,axiom,
    ! [X0] :
      ( ( reflexive_rewrite(c,X0)
        & reflexive_rewrite(b,X0) )
     => goal ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal_ax) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : COM007+1 : TPTP v8.2.0. Released v3.2.0.
% 0.07/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.35  % Computer : n005.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Sun May 19 10:35:53 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  This is a FOF_THM_RFO_NEQ problem
% 0.14/0.36  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.62/0.79  % (20939)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2995ds/56Mi)
% 0.62/0.80  % (20939)Refutation not found, incomplete strategy% (20939)------------------------------
% 0.62/0.80  % (20939)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.80  % (20939)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.80  
% 0.62/0.80  % (20939)Memory used [KB]: 944
% 0.62/0.80  % (20939)Time elapsed: 0.001 s
% 0.62/0.80  % (20939)Instructions burned: 2 (million)
% 0.62/0.80  % (20939)------------------------------
% 0.62/0.80  % (20939)------------------------------
% 0.62/0.80  % (20931)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on theBenchmark for (2995ds/34Mi)
% 0.62/0.80  % (20933)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2995ds/78Mi)
% 0.62/0.80  % (20932)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on theBenchmark for (2995ds/51Mi)
% 0.62/0.80  % (20935)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2995ds/33Mi)
% 0.62/0.80  % (20936)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on theBenchmark for (2995ds/34Mi)
% 0.62/0.80  % (20937)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2995ds/45Mi)
% 0.62/0.80  % (20938)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on theBenchmark for (2995ds/83Mi)
% 0.62/0.80  % (20931)Refutation not found, incomplete strategy% (20931)------------------------------
% 0.62/0.80  % (20931)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.80  % (20931)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.80  
% 0.62/0.80  % (20931)Memory used [KB]: 944
% 0.62/0.80  % (20931)Time elapsed: 0.002 s
% 0.62/0.80  % (20931)Instructions burned: 2 (million)
% 0.62/0.80  % (20935)Refutation not found, incomplete strategy% (20935)------------------------------
% 0.62/0.80  % (20935)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.80  % (20935)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.80  
% 0.62/0.80  % (20935)Memory used [KB]: 944
% 0.62/0.80  % (20935)Time elapsed: 0.002 s
% 0.62/0.80  % (20937)Refutation not found, incomplete strategy% (20937)------------------------------
% 0.62/0.80  % (20937)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.80  % (20937)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.80  
% 0.62/0.80  % (20937)Memory used [KB]: 944
% 0.62/0.80  % (20937)Time elapsed: 0.002 s
% 0.62/0.80  % (20937)Instructions burned: 2 (million)
% 0.62/0.80  % (20935)Instructions burned: 2 (million)
% 0.62/0.80  % (20931)------------------------------
% 0.62/0.80  % (20931)------------------------------
% 0.62/0.80  % (20937)------------------------------
% 0.62/0.80  % (20937)------------------------------
% 0.62/0.80  % (20935)------------------------------
% 0.62/0.80  % (20935)------------------------------
% 0.62/0.80  % (20936)Refutation not found, incomplete strategy% (20936)------------------------------
% 0.62/0.80  % (20936)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.80  % (20936)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.80  
% 0.62/0.80  % (20936)Memory used [KB]: 955
% 0.62/0.80  % (20936)Time elapsed: 0.002 s
% 0.62/0.80  % (20936)Instructions burned: 2 (million)
% 0.62/0.80  % (20938)Refutation not found, incomplete strategy% (20938)------------------------------
% 0.62/0.80  % (20938)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.80  % (20938)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.80  
% 0.62/0.80  % (20938)Memory used [KB]: 949
% 0.62/0.80  % (20938)Time elapsed: 0.002 s
% 0.62/0.80  % (20938)Instructions burned: 2 (million)
% 0.62/0.80  % (20936)------------------------------
% 0.62/0.80  % (20936)------------------------------
% 0.62/0.80  % (20938)------------------------------
% 0.62/0.80  % (20938)------------------------------
% 0.62/0.80  % (20941)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on theBenchmark for (2995ds/55Mi)
% 0.62/0.80  % (20932)First to succeed.
% 0.62/0.80  % (20933)Also succeeded, but the first one will report.
% 0.62/0.80  % (20932)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-20741"
% 0.62/0.80  % (20941)Also succeeded, but the first one will report.
% 0.62/0.80  % (20932)Refutation found. Thanks to Tanya!
% 0.62/0.80  % SZS status Theorem for theBenchmark
% 0.62/0.80  % SZS output start Proof for theBenchmark
% See solution above
% 0.62/0.80  % (20932)------------------------------
% 0.62/0.80  % (20932)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.80  % (20932)Termination reason: Refutation
% 0.62/0.80  
% 0.62/0.80  % (20932)Memory used [KB]: 1007
% 0.62/0.80  % (20932)Time elapsed: 0.005 s
% 0.62/0.80  % (20932)Instructions burned: 5 (million)
% 0.62/0.80  % (20741)Success in time 0.434 s
% 0.62/0.80  % Vampire---4.8 exiting
%------------------------------------------------------------------------------