TSTP Solution File: GEO259+1 by Vampire---4.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.9
% Problem  : GEO259+1 : TPTP v8.2.0. Bugfixed v6.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire %s %d THM

% Computer : n018.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 Jun 24 06:26:37 EDT 2024

% Result   : Theorem 0.22s 0.48s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   59 (  17 unt;   0 def)
%            Number of atoms       :  167 (   0 equ)
%            Maximal formula atoms :   12 (   2 avg)
%            Number of connectives :  161 (  53   ~;  53   |;  42   &)
%                                         (   1 <=>;  12  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   2 prp; 0-4 aty)
%            Number of functors    :    6 (   6 usr;   4 con; 0-2 aty)
%            Number of variables   :  114 ( 102   !;  12   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f368,plain,
    $false,
    inference(avatar_sat_refutation,[],[f354,f367]) ).

fof(f367,plain,
    ~ spl4_9,
    inference(avatar_contradiction_clause,[],[f366]) ).

fof(f366,plain,
    ( $false
    | ~ spl4_9 ),
    inference(resolution,[],[f352,f106]) ).

fof(f106,plain,
    line(sK0),
    inference(cnf_transformation,[],[f105]) ).

fof(f105,plain,
    ( between_on_line(sK0,sK2,sK1,sK3)
    & between_on_line(sK0,sK1,sK2,sK3)
    & distinct_points(sK1,sK2)
    & distinct_points(sK2,sK3)
    & distinct_points(sK1,sK3)
    & line(sK0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f64,f104]) ).

fof(f104,plain,
    ( ? [X0,X1,X2,X3] :
        ( between_on_line(X0,X2,X1,X3)
        & between_on_line(X0,X1,X2,X3)
        & distinct_points(X1,X2)
        & distinct_points(X2,X3)
        & distinct_points(X1,X3)
        & line(X0) )
   => ( between_on_line(sK0,sK2,sK1,sK3)
      & between_on_line(sK0,sK1,sK2,sK3)
      & distinct_points(sK1,sK2)
      & distinct_points(sK2,sK3)
      & distinct_points(sK1,sK3)
      & line(sK0) ) ),
    introduced(choice_axiom,[]) ).

fof(f64,plain,
    ? [X0,X1,X2,X3] :
      ( between_on_line(X0,X2,X1,X3)
      & between_on_line(X0,X1,X2,X3)
      & distinct_points(X1,X2)
      & distinct_points(X2,X3)
      & distinct_points(X1,X3)
      & line(X0) ),
    inference(flattening,[],[f63]) ).

fof(f63,plain,
    ? [X0,X1,X2,X3] :
      ( between_on_line(X0,X2,X1,X3)
      & between_on_line(X0,X1,X2,X3)
      & distinct_points(X1,X2)
      & distinct_points(X2,X3)
      & distinct_points(X1,X3)
      & line(X0) ),
    inference(ennf_transformation,[],[f34]) ).

fof(f34,plain,
    ~ ! [X0,X1,X2,X3] :
        ( ( distinct_points(X1,X2)
          & distinct_points(X2,X3)
          & distinct_points(X1,X3)
          & line(X0) )
       => ~ ( between_on_line(X0,X2,X1,X3)
            & between_on_line(X0,X1,X2,X3) ) ),
    inference(rectify,[],[f33]) ).

fof(f33,negated_conjecture,
    ~ ! [X1,X0,X3,X4] :
        ( ( distinct_points(X0,X3)
          & distinct_points(X3,X4)
          & distinct_points(X0,X4)
          & line(X1) )
       => ~ ( between_on_line(X1,X3,X0,X4)
            & between_on_line(X1,X0,X3,X4) ) ),
    inference(negated_conjecture,[],[f32]) ).

fof(f32,conjecture,
    ! [X1,X0,X3,X4] :
      ( ( distinct_points(X0,X3)
        & distinct_points(X3,X4)
        & distinct_points(X0,X4)
        & line(X1) )
     => ~ ( between_on_line(X1,X3,X0,X4)
          & between_on_line(X1,X0,X3,X4) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f352,plain,
    ( ! [X0] : ~ line(X0)
    | ~ spl4_9 ),
    inference(avatar_component_clause,[],[f351]) ).

fof(f351,plain,
    ( spl4_9
  <=> ! [X0] : ~ line(X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_9])]) ).

fof(f354,plain,
    spl4_9,
    inference(avatar_split_clause,[],[f346,f351]) ).

fof(f346,plain,
    ! [X0] : ~ line(X0),
    inference(resolution,[],[f327,f216]) ).

fof(f216,plain,
    ! [X0] :
      ( ~ unequally_directed_lines(reverse_line(X0),X0)
      | ~ line(X0) ),
    inference(subsumption_resolution,[],[f214,f116]) ).

fof(f116,plain,
    ! [X0] :
      ( line(reverse_line(X0))
      | ~ line(X0) ),
    inference(cnf_transformation,[],[f65]) ).

fof(f65,plain,
    ! [X0] :
      ( line(reverse_line(X0))
      | ~ line(X0) ),
    inference(ennf_transformation,[],[f38]) ).

fof(f38,plain,
    ! [X0] :
      ( line(X0)
     => line(reverse_line(X0)) ),
    inference(rectify,[],[f20]) ).

fof(f20,axiom,
    ! [X1] :
      ( line(X1)
     => line(reverse_line(X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f214,plain,
    ! [X0] :
      ( ~ unequally_directed_lines(reverse_line(X0),X0)
      | ~ line(X0)
      | ~ line(reverse_line(X0)) ),
    inference(resolution,[],[f163,f159]) ).

fof(f159,plain,
    ! [X0] : unequally_directed_lines(X0,X0),
    inference(consistent_polarity_flipping,[],[f114]) ).

fof(f114,plain,
    ! [X0] : ~ unequally_directed_lines(X0,X0),
    inference(cnf_transformation,[],[f36]) ).

fof(f36,plain,
    ! [X0] : ~ unequally_directed_lines(X0,X0),
    inference(rectify,[],[f10]) ).

fof(f10,axiom,
    ! [X1] : ~ unequally_directed_lines(X1,X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f163,plain,
    ! [X0,X1] :
      ( ~ unequally_directed_lines(X0,reverse_line(X1))
      | ~ unequally_directed_lines(X0,X1)
      | ~ line(X1)
      | ~ line(X0) ),
    inference(consistent_polarity_flipping,[],[f125]) ).

fof(f125,plain,
    ! [X0,X1] :
      ( unequally_directed_lines(X0,reverse_line(X1))
      | unequally_directed_lines(X0,X1)
      | ~ line(X1)
      | ~ line(X0) ),
    inference(cnf_transformation,[],[f74]) ).

fof(f74,plain,
    ! [X0,X1] :
      ( unequally_directed_lines(X0,reverse_line(X1))
      | unequally_directed_lines(X0,X1)
      | ~ line(X1)
      | ~ line(X0) ),
    inference(flattening,[],[f73]) ).

fof(f73,plain,
    ! [X0,X1] :
      ( unequally_directed_lines(X0,reverse_line(X1))
      | unequally_directed_lines(X0,X1)
      | ~ line(X1)
      | ~ line(X0) ),
    inference(ennf_transformation,[],[f44]) ).

fof(f44,plain,
    ! [X0,X1] :
      ( ( line(X1)
        & line(X0) )
     => ( unequally_directed_lines(X0,reverse_line(X1))
        | unequally_directed_lines(X0,X1) ) ),
    inference(rectify,[],[f13]) ).

fof(f13,axiom,
    ! [X1,X2] :
      ( ( line(X2)
        & line(X1) )
     => ( unequally_directed_lines(X1,reverse_line(X2))
        | unequally_directed_lines(X1,X2) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f327,plain,
    ! [X2,X0] : unequally_directed_lines(X0,X2),
    inference(subsumption_resolution,[],[f324,f312]) ).

fof(f312,plain,
    ! [X0,X1] : unequally_directed_lines(X0,line_connecting(X1,X1)),
    inference(factoring,[],[f273]) ).

fof(f273,plain,
    ! [X2,X0,X1] :
      ( unequally_directed_lines(X0,line_connecting(X1,X2))
      | unequally_directed_lines(X0,line_connecting(X2,X1)) ),
    inference(resolution,[],[f257,f209]) ).

fof(f209,plain,
    ! [X2,X0,X1] :
      ( ~ unequally_directed_lines(X0,reverse_line(line_connecting(X1,X2)))
      | unequally_directed_lines(X0,line_connecting(X2,X1)) ),
    inference(resolution,[],[f172,f161]) ).

fof(f161,plain,
    ! [X0,X1] : unequally_directed_lines(line_connecting(X0,X1),reverse_line(line_connecting(X1,X0))),
    inference(consistent_polarity_flipping,[],[f119]) ).

fof(f119,plain,
    ! [X0,X1] : ~ unequally_directed_lines(line_connecting(X0,X1),reverse_line(line_connecting(X1,X0))),
    inference(cnf_transformation,[],[f39]) ).

fof(f39,plain,
    ! [X0,X1] : ~ unequally_directed_lines(line_connecting(X0,X1),reverse_line(line_connecting(X1,X0))),
    inference(rectify,[],[f25]) ).

fof(f25,axiom,
    ! [X0,X3] : ~ unequally_directed_lines(line_connecting(X0,X3),reverse_line(line_connecting(X3,X0))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f172,plain,
    ! [X2,X0,X1] :
      ( ~ unequally_directed_lines(X1,X2)
      | ~ unequally_directed_lines(X0,X2)
      | unequally_directed_lines(X0,X1) ),
    inference(consistent_polarity_flipping,[],[f138]) ).

fof(f138,plain,
    ! [X2,X0,X1] :
      ( unequally_directed_lines(X1,X2)
      | unequally_directed_lines(X0,X2)
      | ~ unequally_directed_lines(X0,X1) ),
    inference(cnf_transformation,[],[f89]) ).

fof(f89,plain,
    ! [X0,X1,X2] :
      ( unequally_directed_lines(X1,X2)
      | unequally_directed_lines(X0,X2)
      | ~ unequally_directed_lines(X0,X1) ),
    inference(flattening,[],[f88]) ).

fof(f88,plain,
    ! [X0,X1,X2] :
      ( unequally_directed_lines(X1,X2)
      | unequally_directed_lines(X0,X2)
      | ~ unequally_directed_lines(X0,X1) ),
    inference(ennf_transformation,[],[f52]) ).

fof(f52,plain,
    ! [X0,X1,X2] :
      ( unequally_directed_lines(X0,X1)
     => ( unequally_directed_lines(X1,X2)
        | unequally_directed_lines(X0,X2) ) ),
    inference(rectify,[],[f11]) ).

fof(f11,axiom,
    ! [X1,X2,X5] :
      ( unequally_directed_lines(X1,X2)
     => ( unequally_directed_lines(X2,X5)
        | unequally_directed_lines(X1,X5) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f257,plain,
    ! [X0,X1] :
      ( unequally_directed_lines(X0,reverse_line(X1))
      | unequally_directed_lines(X0,X1) ),
    inference(subsumption_resolution,[],[f255,f131]) ).

fof(f131,plain,
    ! [X0,X1] : ~ left_convergent_lines(X0,X1),
    inference(cnf_transformation,[],[f80]) ).

fof(f80,plain,
    ! [X0,X1] :
      ( ~ left_convergent_lines(X0,reverse_line(X1))
      & ~ left_convergent_lines(X0,X1) ),
    inference(ennf_transformation,[],[f48]) ).

fof(f48,plain,
    ! [X0,X1] :
      ~ ( left_convergent_lines(X0,reverse_line(X1))
        | left_convergent_lines(X0,X1) ),
    inference(rectify,[],[f16]) ).

fof(f16,axiom,
    ! [X1,X2] :
      ~ ( left_convergent_lines(X1,reverse_line(X2))
        | left_convergent_lines(X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f255,plain,
    ! [X0,X1] :
      ( left_convergent_lines(X0,X1)
      | unequally_directed_lines(X0,reverse_line(X1))
      | unequally_directed_lines(X0,X1) ),
    inference(resolution,[],[f166,f132]) ).

fof(f132,plain,
    ! [X0,X1] : ~ left_convergent_lines(X0,reverse_line(X1)),
    inference(cnf_transformation,[],[f80]) ).

fof(f166,plain,
    ! [X0,X1] :
      ( left_convergent_lines(X0,reverse_line(X1))
      | left_convergent_lines(X0,X1)
      | unequally_directed_lines(X0,reverse_line(X1))
      | unequally_directed_lines(X0,X1) ),
    inference(consistent_polarity_flipping,[],[f128]) ).

fof(f128,plain,
    ! [X0,X1] :
      ( left_convergent_lines(X0,reverse_line(X1))
      | left_convergent_lines(X0,X1)
      | ~ unequally_directed_lines(X0,reverse_line(X1))
      | ~ unequally_directed_lines(X0,X1) ),
    inference(cnf_transformation,[],[f78]) ).

fof(f78,plain,
    ! [X0,X1] :
      ( left_convergent_lines(X0,reverse_line(X1))
      | left_convergent_lines(X0,X1)
      | ~ unequally_directed_lines(X0,reverse_line(X1))
      | ~ unequally_directed_lines(X0,X1) ),
    inference(flattening,[],[f77]) ).

fof(f77,plain,
    ! [X0,X1] :
      ( left_convergent_lines(X0,reverse_line(X1))
      | left_convergent_lines(X0,X1)
      | ~ unequally_directed_lines(X0,reverse_line(X1))
      | ~ unequally_directed_lines(X0,X1) ),
    inference(ennf_transformation,[],[f46]) ).

fof(f46,plain,
    ! [X0,X1] :
      ( ( unequally_directed_lines(X0,reverse_line(X1))
        & unequally_directed_lines(X0,X1) )
     => ( left_convergent_lines(X0,reverse_line(X1))
        | left_convergent_lines(X0,X1) ) ),
    inference(rectify,[],[f14]) ).

fof(f14,axiom,
    ! [X1,X2] :
      ( ( unequally_directed_lines(X1,reverse_line(X2))
        & unequally_directed_lines(X1,X2) )
     => ( left_convergent_lines(X1,reverse_line(X2))
        | left_convergent_lines(X1,X2) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f324,plain,
    ! [X2,X0,X1] :
      ( ~ unequally_directed_lines(X0,line_connecting(X1,X1))
      | unequally_directed_lines(X0,X2) ),
    inference(resolution,[],[f312,f172]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem    : GEO259+1 : TPTP v8.2.0. Bugfixed v6.4.0.
% 0.00/0.11  % Command    : run_vampire %s %d THM
% 0.11/0.32  % Computer : n018.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit   : 300
% 0.11/0.32  % WCLimit    : 300
% 0.11/0.32  % DateTime   : Fri Jun 21 07:27:09 EDT 2024
% 0.11/0.32  % CPUTime    : 
% 0.19/0.35  This is a FOF_THM_RFO_NEQ problem
% 0.19/0.35  Running first-order theorem proving
% 0.19/0.35  Running /export/starexec/sandbox2/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.42  % (7877)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42  % (7882)lrs+1011_4:1_to=lpo:drc=off:sil=8000:sp=frequency:abs=on:urr=on:lsd=10:nwc=5.0:s2agt=4:newcnf=on:st=5.0:s2a=on:i=107:ss=axioms:aac=none:br=off:bd=preordered_0 on theBenchmark for (2999ds/107Mi)
% 0.22/0.43  % (7877)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43  % (7884)lrs+1011_1:13_sil=2000:tgt=full:sims=off:sp=occurrence:abs=on:newcnf=on:i=104:nm=4:ss=axioms:rawr=on:amm=off_0 on theBenchmark for (2999ds/104Mi)
% 0.22/0.43  % (7877)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43  % (7878)lrs+21_1:32_anc=all:to=lpo:sil=256000:plsq=on:plsqr=32,1:sp=occurrence:sos=on:plsql=on:sac=on:newcnf=on:i=222662:add=off:fsr=off:rawr=on_0 on theBenchmark for (2999ds/222662Mi)
% 0.22/0.43  % (7877)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43  % (7880)dis+1002_1:1_tgt=full:sos=on:rp=on:sac=on:i=258102:ss=axioms:sd=3:cond=fast:add=off:abs=on:fde=none:sil=256000_0 on theBenchmark for (2999ds/258102Mi)
% 0.22/0.43  % (7877)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43  % (7883)lrs+10_8:1_to=lpo:drc=encompass:sil=4000:sos=on:urr=on:newcnf=on:i=116:sd=2:nm=2:ss=axioms:sgt=32:sup=off:bd=off_0 on theBenchmark for (2999ds/116Mi)
% 0.22/0.43  % (7880)Refutation not found, incomplete strategy% (7880)------------------------------
% 0.22/0.43  % (7880)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.43  % (7880)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.43  % (7880)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.43  
% 0.22/0.43  % (7880)Memory used [KB]: 1162
% 0.22/0.43  % (7880)Time elapsed: 0.004 s
% 0.22/0.43  % (7880)Instructions burned: 3 (million)
% 0.22/0.44  % (7880)------------------------------
% 0.22/0.44  % (7880)------------------------------
% 0.22/0.44  % (7877)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.44  % (7881)lrs+21_8:1_to=lpo:sil=2000:sp=frequency:spb=units:s2a=on:s2pl=no:i=103:sd=2:ss=included:fsr=off:fs=off_0 on theBenchmark for (2999ds/103Mi)
% 0.22/0.44  % (7877)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.44  % (7879)lrs+1011_4:1_sil=256000:rp=on:newcnf=on:i=257909:aac=none:gsp=on_0 on theBenchmark for (2999ds/257909Mi)
% 0.22/0.47  % (7882)Instruction limit reached!
% 0.22/0.47  % (7882)------------------------------
% 0.22/0.47  % (7882)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.47  % (7882)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.47  % (7882)Termination reason: Time limit
% 0.22/0.47  % (7882)Termination phase: Saturation
% 0.22/0.47  
% 0.22/0.47  % (7882)Memory used [KB]: 1529
% 0.22/0.47  % (7882)Time elapsed: 0.052 s
% 0.22/0.47  % (7882)Instructions burned: 109 (million)
% 0.22/0.47  % (7883)Instruction limit reached!
% 0.22/0.47  % (7883)------------------------------
% 0.22/0.47  % (7883)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.47  % (7883)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.47  % (7883)Termination reason: Time limit
% 0.22/0.47  % (7883)Termination phase: Saturation
% 0.22/0.47  
% 0.22/0.47  % (7883)Memory used [KB]: 1476
% 0.22/0.47  % (7883)Time elapsed: 0.043 s
% 0.22/0.47  % (7883)Instructions burned: 117 (million)
% 0.22/0.48  % (7877)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.48  % (7888)lrs+2_1:1_sil=4000:plsqc=4:plsq=on:plsqr=2,1:rp=on:i=110:nm=10:fde=unused:ep=RS:slsq=on:slsql=off:slsqr=1,8:erd=off_0 on theBenchmark for (2999ds/110Mi)
% 0.22/0.48  % (7884)Instruction limit reached!
% 0.22/0.48  % (7884)------------------------------
% 0.22/0.48  % (7884)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.48  % (7884)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.48  % (7884)Termination reason: Time limit
% 0.22/0.48  % (7884)Termination phase: Saturation
% 0.22/0.48  
% 0.22/0.48  % (7884)Memory used [KB]: 1762
% 0.22/0.48  % (7884)Time elapsed: 0.051 s
% 0.22/0.48  % (7884)Instructions burned: 104 (million)
% 0.22/0.48  % (7888)First to succeed.
% 0.22/0.48  % (7881)Instruction limit reached!
% 0.22/0.48  % (7881)------------------------------
% 0.22/0.48  % (7881)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.48  % (7881)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.48  % (7881)Termination reason: Time limit
% 0.22/0.48  % (7881)Termination phase: Saturation
% 0.22/0.48  
% 0.22/0.48  % (7881)Memory used [KB]: 3264
% 0.22/0.48  % (7881)Time elapsed: 0.048 s
% 0.22/0.48  % (7881)Instructions burned: 105 (million)
% 0.22/0.48  % (7888)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-7877"
% 0.22/0.48  % (7877)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.48  % (7888)Refutation found. Thanks to Tanya!
% 0.22/0.48  % SZS status Theorem for theBenchmark
% 0.22/0.48  % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.48  % (7888)------------------------------
% 0.22/0.48  % (7888)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.48  % (7888)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.48  % (7888)Termination reason: Refutation
% 0.22/0.48  
% 0.22/0.48  % (7888)Memory used [KB]: 1210
% 0.22/0.48  % (7888)Time elapsed: 0.005 s
% 0.22/0.48  % (7888)Instructions burned: 9 (million)
% 0.22/0.48  % (7888)------------------------------
% 0.22/0.48  % (7888)------------------------------
% 0.22/0.48  % (7877)Success in time 0.11 s
%------------------------------------------------------------------------------