TSTP Solution File: ALG176+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : ALG176+1 : TPTP v8.1.0. Released v2.7.0.
% 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 : n015.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 15:43:22 EDT 2022

% Result   : Theorem 1.64s 0.56s
% Output   : Refutation 1.64s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   34 (  10 unt;   0 def)
%            Number of atoms       :  143 (  45 equ)
%            Maximal formula atoms :   14 (   4 avg)
%            Number of connectives :  165 (  56   ~;  41   |;  37   &)
%                                         (   0 <=>;  31  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   1 con; 0-2 aty)
%            Number of variables   :   73 (  67   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f410,plain,
    $false,
    inference(subsumption_resolution,[],[f409,f36]) ).

fof(f36,plain,
    sorti1(j(sK1(h(sK0)))),
    inference(resolution,[],[f34,f24]) ).

fof(f24,plain,
    ! [X7] :
      ( ~ sorti2(X7)
      | sorti1(j(X7)) ),
    inference(cnf_transformation,[],[f18]) ).

fof(f18,plain,
    ( ! [X0] :
        ( j(h(X0)) = X0
        | ~ sorti1(X0) )
    & ! [X1] :
        ( ! [X2] :
            ( ~ sorti2(X2)
            | j(op2(X1,X2)) = op1(j(X1),j(X2)) )
        | ~ sorti2(X1) )
    & ! [X3] :
        ( ! [X4] :
            ( op2(h(X3),h(X4)) = h(op1(X3,X4))
            | ~ sorti1(X4) )
        | ~ sorti1(X3) )
    & ! [X5] :
        ( h(j(X5)) = X5
        | ~ sorti2(X5) )
    & ! [X6] :
        ( sorti2(h(X6))
        | ~ sorti1(X6) )
    & ! [X7] :
        ( ~ sorti2(X7)
        | sorti1(j(X7)) ) ),
    inference(rectify,[],[f10]) ).

fof(f10,plain,
    ( ! [X7] :
        ( j(h(X7)) = X7
        | ~ sorti1(X7) )
    & ! [X3] :
        ( ! [X4] :
            ( ~ sorti2(X4)
            | op1(j(X3),j(X4)) = j(op2(X3,X4)) )
        | ~ sorti2(X3) )
    & ! [X5] :
        ( ! [X6] :
            ( h(op1(X5,X6)) = op2(h(X5),h(X6))
            | ~ sorti1(X6) )
        | ~ sorti1(X5) )
    & ! [X2] :
        ( h(j(X2)) = X2
        | ~ sorti2(X2) )
    & ! [X1] :
        ( sorti2(h(X1))
        | ~ sorti1(X1) )
    & ! [X0] :
        ( ~ sorti2(X0)
        | sorti1(j(X0)) ) ),
    inference(flattening,[],[f9]) ).

fof(f9,plain,
    ( ! [X2] :
        ( h(j(X2)) = X2
        | ~ sorti2(X2) )
    & ! [X3] :
        ( ! [X4] :
            ( ~ sorti2(X4)
            | op1(j(X3),j(X4)) = j(op2(X3,X4)) )
        | ~ sorti2(X3) )
    & ! [X5] :
        ( ! [X6] :
            ( h(op1(X5,X6)) = op2(h(X5),h(X6))
            | ~ sorti1(X6) )
        | ~ sorti1(X5) )
    & ! [X7] :
        ( j(h(X7)) = X7
        | ~ sorti1(X7) )
    & ! [X0] :
        ( ~ sorti2(X0)
        | sorti1(j(X0)) )
    & ! [X1] :
        ( sorti2(h(X1))
        | ~ sorti1(X1) ) ),
    inference(ennf_transformation,[],[f7]) ).

fof(f7,plain,
    ~ ( ( ! [X0] :
            ( sorti2(X0)
           => sorti1(j(X0)) )
        & ! [X1] :
            ( sorti1(X1)
           => sorti2(h(X1)) ) )
     => ~ ( ! [X2] :
              ( sorti2(X2)
             => h(j(X2)) = X2 )
          & ! [X3] :
              ( sorti2(X3)
             => ! [X4] :
                  ( sorti2(X4)
                 => op1(j(X3),j(X4)) = j(op2(X3,X4)) ) )
          & ! [X5] :
              ( sorti1(X5)
             => ! [X6] :
                  ( sorti1(X6)
                 => h(op1(X5,X6)) = op2(h(X5),h(X6)) ) )
          & ! [X7] :
              ( sorti1(X7)
             => j(h(X7)) = X7 ) ) ),
    inference(rectify,[],[f6]) ).

fof(f6,negated_conjecture,
    ~ ( ( ! [X1] :
            ( sorti2(X1)
           => sorti1(j(X1)) )
        & ! [X0] :
            ( sorti1(X0)
           => sorti2(h(X0)) ) )
     => ~ ( ! [X6] :
              ( sorti2(X6)
             => h(j(X6)) = X6 )
          & ! [X4] :
              ( sorti2(X4)
             => ! [X5] :
                  ( sorti2(X5)
                 => j(op2(X4,X5)) = op1(j(X4),j(X5)) ) )
          & ! [X2] :
              ( sorti1(X2)
             => ! [X3] :
                  ( sorti1(X3)
                 => h(op1(X2,X3)) = op2(h(X2),h(X3)) ) )
          & ! [X7] :
              ( sorti1(X7)
             => j(h(X7)) = X7 ) ) ),
    inference(negated_conjecture,[],[f5]) ).

fof(f5,conjecture,
    ( ( ! [X1] :
          ( sorti2(X1)
         => sorti1(j(X1)) )
      & ! [X0] :
          ( sorti1(X0)
         => sorti2(h(X0)) ) )
   => ~ ( ! [X6] :
            ( sorti2(X6)
           => h(j(X6)) = X6 )
        & ! [X4] :
            ( sorti2(X4)
           => ! [X5] :
                ( sorti2(X5)
               => j(op2(X4,X5)) = op1(j(X4),j(X5)) ) )
        & ! [X2] :
            ( sorti1(X2)
           => ! [X3] :
                ( sorti1(X3)
               => h(op1(X2,X3)) = op2(h(X2),h(X3)) ) )
        & ! [X7] :
            ( sorti1(X7)
           => j(h(X7)) = X7 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

fof(f34,plain,
    sorti2(sK1(h(sK0))),
    inference(resolution,[],[f23,f31]) ).

fof(f31,plain,
    sorti2(h(sK0)),
    inference(resolution,[],[f25,f20]) ).

fof(f20,plain,
    sorti1(sK0),
    inference(cnf_transformation,[],[f15]) ).

fof(f15,plain,
    ( ! [X1] :
        ( ~ sorti1(X1)
        | op1(X1,sK0) != X1 )
    & sorti1(sK0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f11,f14]) ).

fof(f14,plain,
    ( ? [X0] :
        ( ! [X1] :
            ( ~ sorti1(X1)
            | op1(X1,X0) != X1 )
        & sorti1(X0) )
   => ( ! [X1] :
          ( ~ sorti1(X1)
          | op1(X1,sK0) != X1 )
      & sorti1(sK0) ) ),
    introduced(choice_axiom,[]) ).

fof(f11,plain,
    ? [X0] :
      ( ! [X1] :
          ( ~ sorti1(X1)
          | op1(X1,X0) != X1 )
      & sorti1(X0) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f3,axiom,
    ? [X0] :
      ( sorti1(X0)
      & ! [X1] :
          ( sorti1(X1)
         => op1(X1,X0) != X1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).

fof(f25,plain,
    ! [X6] :
      ( ~ sorti1(X6)
      | sorti2(h(X6)) ),
    inference(cnf_transformation,[],[f18]) ).

fof(f23,plain,
    ! [X0] :
      ( ~ sorti2(X0)
      | sorti2(sK1(X0)) ),
    inference(cnf_transformation,[],[f17]) ).

fof(f17,plain,
    ! [X0] :
      ( ( sorti2(sK1(X0))
        & sK1(X0) = op2(sK1(X0),X0) )
      | ~ sorti2(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f13,f16]) ).

fof(f16,plain,
    ! [X0] :
      ( ? [X1] :
          ( sorti2(X1)
          & op2(X1,X0) = X1 )
     => ( sorti2(sK1(X0))
        & sK1(X0) = op2(sK1(X0),X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f13,plain,
    ! [X0] :
      ( ? [X1] :
          ( sorti2(X1)
          & op2(X1,X0) = X1 )
      | ~ sorti2(X0) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,axiom,
    ~ ? [X0] :
        ( ! [X1] :
            ( sorti2(X1)
           => op2(X1,X0) != X1 )
        & sorti2(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).

fof(f409,plain,
    ~ sorti1(j(sK1(h(sK0)))),
    inference(trivial_inequality_removal,[],[f408]) ).

fof(f408,plain,
    ( j(sK1(h(sK0))) != j(sK1(h(sK0)))
    | ~ sorti1(j(sK1(h(sK0)))) ),
    inference(superposition,[],[f21,f347]) ).

fof(f347,plain,
    j(sK1(h(sK0))) = op1(j(sK1(h(sK0))),sK0),
    inference(forward_demodulation,[],[f328,f200]) ).

fof(f200,plain,
    sK1(h(sK0)) = op2(sK1(h(sK0)),h(sK0)),
    inference(resolution,[],[f22,f31]) ).

fof(f22,plain,
    ! [X0] :
      ( ~ sorti2(X0)
      | sK1(X0) = op2(sK1(X0),X0) ),
    inference(cnf_transformation,[],[f17]) ).

fof(f328,plain,
    j(op2(sK1(h(sK0)),h(sK0))) = op1(j(sK1(h(sK0))),sK0),
    inference(resolution,[],[f185,f34]) ).

fof(f185,plain,
    ! [X0] :
      ( ~ sorti2(X0)
      | op1(j(X0),sK0) = j(op2(X0,h(sK0))) ),
    inference(forward_demodulation,[],[f173,f71]) ).

fof(f71,plain,
    j(h(sK0)) = sK0,
    inference(resolution,[],[f29,f20]) ).

fof(f29,plain,
    ! [X0] :
      ( ~ sorti1(X0)
      | j(h(X0)) = X0 ),
    inference(cnf_transformation,[],[f18]) ).

fof(f173,plain,
    ! [X0] :
      ( ~ sorti2(X0)
      | op1(j(X0),j(h(sK0))) = j(op2(X0,h(sK0))) ),
    inference(resolution,[],[f28,f31]) ).

fof(f28,plain,
    ! [X2,X1] :
      ( ~ sorti2(X2)
      | ~ sorti2(X1)
      | j(op2(X1,X2)) = op1(j(X1),j(X2)) ),
    inference(cnf_transformation,[],[f18]) ).

fof(f21,plain,
    ! [X1] :
      ( op1(X1,sK0) != X1
      | ~ sorti1(X1) ),
    inference(cnf_transformation,[],[f15]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : ALG176+1 : TPTP v8.1.0. Released v2.7.0.
% 0.03/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.33  % Computer : n015.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit   : 300
% 0.13/0.33  % WCLimit    : 300
% 0.13/0.33  % DateTime   : Mon Aug 29 15:09:04 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.49  % (5433)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)
% 0.19/0.49  % (5441)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)
% 0.19/0.49  % (5426)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.50  % (5423)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.50  % (5434)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)
% 0.19/0.50  % (5425)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)
% 0.19/0.50  TRYING [1]
% 0.19/0.50  TRYING [2]
% 0.19/0.50  TRYING [3]
% 0.19/0.51  TRYING [4]
% 0.19/0.51  % (5442)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)
% 0.19/0.52  % (5447)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.52  % (5419)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)
% 0.19/0.52  TRYING [1]
% 0.19/0.52  % (5426)Instruction limit reached!
% 0.19/0.52  % (5426)------------------------------
% 0.19/0.52  % (5426)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (5426)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  TRYING [2]
% 0.19/0.52  % (5426)Termination reason: Unknown
% 0.19/0.52  % (5426)Termination phase: Saturation
% 0.19/0.52  
% 0.19/0.52  % (5426)Memory used [KB]: 5500
% 0.19/0.52  % (5426)Time elapsed: 0.124 s
% 0.19/0.52  % (5426)Instructions burned: 7 (million)
% 0.19/0.52  % (5426)------------------------------
% 0.19/0.52  % (5426)------------------------------
% 0.19/0.52  TRYING [3]
% 0.19/0.52  % (5424)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)
% 0.19/0.52  % (5421)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.52  % (5420)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)
% 0.19/0.52  % (5420)Refutation not found, incomplete strategy% (5420)------------------------------
% 0.19/0.52  % (5420)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (5420)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (5420)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.52  
% 0.19/0.52  % (5420)Memory used [KB]: 5373
% 0.19/0.52  % (5420)Time elapsed: 0.134 s
% 0.19/0.52  % (5420)------------------------------
% 0.19/0.52  % (5420)------------------------------
% 0.19/0.52  % (5422)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)
% 0.19/0.52  % (5443)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.53  % (5448)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.19/0.53  % (5436)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.53  % (5439)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.19/0.53  % (5437)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.53  % (5435)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.53  % (5438)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.53  % (5440)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.53  % (5428)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53  % (5429)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.53  % (5431)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.53  % (5430)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.53  % (5427)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.54  % (5427)Instruction limit reached!
% 0.19/0.54  % (5427)------------------------------
% 0.19/0.54  % (5427)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (5427)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (5427)Termination reason: Unknown
% 0.19/0.54  % (5427)Termination phase: Saturation
% 0.19/0.54  
% 0.19/0.54  % (5427)Memory used [KB]: 5373
% 0.19/0.54  % (5427)Time elapsed: 0.151 s
% 0.19/0.54  % (5427)Instructions burned: 2 (million)
% 0.19/0.54  % (5427)------------------------------
% 0.19/0.54  % (5427)------------------------------
% 0.19/0.54  % (5444)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.54  % (5445)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)
% 0.19/0.54  TRYING [4]
% 0.19/0.54  % (5432)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.47/0.54  % (5446)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 1.47/0.55  % (5447)First to succeed.
% 1.47/0.55  TRYING [5]
% 1.47/0.55  TRYING [1]
% 1.47/0.55  TRYING [2]
% 1.47/0.55  TRYING [3]
% 1.47/0.55  TRYING [4]
% 1.47/0.55  % (5425)Instruction limit reached!
% 1.47/0.55  % (5425)------------------------------
% 1.47/0.55  % (5425)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.47/0.55  % (5425)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.47/0.55  % (5425)Termination reason: Unknown
% 1.47/0.55  % (5425)Termination phase: Finite model building SAT solving
% 1.47/0.55  
% 1.47/0.55  % (5425)Memory used [KB]: 6780
% 1.47/0.55  % (5425)Time elapsed: 0.121 s
% 1.47/0.55  % (5425)Instructions burned: 51 (million)
% 1.47/0.55  % (5425)------------------------------
% 1.47/0.55  % (5425)------------------------------
% 1.64/0.56  % (5431)Also succeeded, but the first one will report.
% 1.64/0.56  % (5447)Refutation found. Thanks to Tanya!
% 1.64/0.56  % SZS status Theorem for theBenchmark
% 1.64/0.56  % SZS output start Proof for theBenchmark
% See solution above
% 1.64/0.56  % (5447)------------------------------
% 1.64/0.56  % (5447)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.64/0.56  % (5447)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.64/0.56  % (5447)Termination reason: Refutation
% 1.64/0.56  
% 1.64/0.56  % (5447)Memory used [KB]: 5756
% 1.64/0.56  % (5447)Time elapsed: 0.166 s
% 1.64/0.56  % (5447)Instructions burned: 17 (million)
% 1.64/0.56  % (5447)------------------------------
% 1.64/0.56  % (5447)------------------------------
% 1.64/0.56  % (5418)Success in time 0.213 s
%------------------------------------------------------------------------------