TSTP Solution File: SWV050+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWV050+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 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 : n009.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 18:55:21 EDT 2022

% Result   : Theorem 0.20s 0.54s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   38
% Syntax   : Number of formulae    :   66 (  54 unt;   0 def)
%            Number of atoms       :   93 (  80 equ)
%            Maximal formula atoms :    5 (   1 avg)
%            Number of connectives :   44 (  17   ~;  12   |;  10   &)
%                                         (   3 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    5 (   3 usr;   4 prp; 0-2 aty)
%            Number of functors    :   52 (  52 usr;  44 con; 0-3 aty)
%            Number of variables   :   10 (  10   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f487,plain,
    $false,
    inference(avatar_sat_refutation,[],[f457,f466,f468,f486]) ).

fof(f486,plain,
    spl60_3,
    inference(avatar_contradiction_clause,[],[f485]) ).

fof(f485,plain,
    ( $false
    | spl60_3 ),
    inference(subsumption_resolution,[],[f484,f456]) ).

fof(f456,plain,
    ( n0 != sF40
    | spl60_3 ),
    inference(avatar_component_clause,[],[f454]) ).

fof(f454,plain,
    ( spl60_3
  <=> n0 = sF40 ),
    introduced(avatar_definition,[new_symbols(naming,[spl60_3])]) ).

fof(f484,plain,
    n0 = sF40,
    inference(forward_demodulation,[],[f483,f322]) ).

fof(f322,plain,
    ! [X0] : n0 = sum(n0,tptp_minus_1,X0),
    inference(cnf_transformation,[],[f92]) ).

fof(f92,plain,
    ! [X0] : n0 = sum(n0,tptp_minus_1,X0),
    inference(rectify,[],[f26]) ).

fof(f26,axiom,
    ! [X22] : n0 = sum(n0,tptp_minus_1,X22),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_plus_base) ).

fof(f483,plain,
    sF40 = sum(n0,tptp_minus_1,sF39),
    inference(backward_demodulation,[],[f419,f482]) ).

fof(f482,plain,
    tptp_minus_1 = sF31,
    inference(backward_demodulation,[],[f410,f480]) ).

fof(f480,plain,
    tptp_minus_1 = minus(n0,n1),
    inference(superposition,[],[f402,f391]) ).

fof(f391,plain,
    n0 = plus(tptp_minus_1,n1),
    inference(definition_unfolding,[],[f335,f362]) ).

fof(f362,plain,
    ! [X0] : succ(X0) = plus(X0,n1),
    inference(cnf_transformation,[],[f29]) ).

fof(f29,axiom,
    ! [X0] : succ(X0) = plus(X0,n1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',succ_plus_1_r) ).

fof(f335,plain,
    n0 = succ(tptp_minus_1),
    inference(cnf_transformation,[],[f28]) ).

fof(f28,axiom,
    n0 = succ(tptp_minus_1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',succ_tptp_minus_1) ).

fof(f402,plain,
    ! [X0] : minus(plus(X0,n1),n1) = X0,
    inference(definition_unfolding,[],[f365,f307,f362]) ).

fof(f307,plain,
    ! [X0] : minus(X0,n1) = pred(X0),
    inference(cnf_transformation,[],[f39]) ).

fof(f39,axiom,
    ! [X0] : minus(X0,n1) = pred(X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pred_minus_1) ).

fof(f365,plain,
    ! [X0] : pred(succ(X0)) = X0,
    inference(cnf_transformation,[],[f40]) ).

fof(f40,axiom,
    ! [X0] : pred(succ(X0)) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pred_succ) ).

fof(f410,plain,
    minus(n0,n1) = sF31,
    introduced(function_definition,[]) ).

fof(f419,plain,
    sum(n0,sF31,sF39) = sF40,
    introduced(function_definition,[]) ).

fof(f468,plain,
    spl60_1,
    inference(avatar_split_clause,[],[f441,f446]) ).

fof(f446,plain,
    ( spl60_1
  <=> pv88 = sF50 ),
    introduced(avatar_definition,[new_symbols(naming,[spl60_1])]) ).

fof(f441,plain,
    pv88 = sF50,
    inference(definition_folding,[],[f325,f429,f428,f427,f426,f422,f425,f421,f424,f423,f422,f421,f420]) ).

fof(f420,plain,
    minus(n5,n1) = sF41,
    introduced(function_definition,[]) ).

fof(f423,plain,
    minus(sF42,sF43) = sF44,
    introduced(function_definition,[]) ).

fof(f424,plain,
    abs(sF44) = sF45,
    introduced(function_definition,[]) ).

fof(f421,plain,
    a_select2(rho,pv89) = sF42,
    introduced(function_definition,[]) ).

fof(f425,plain,
    abs(sF42) = sF46,
    introduced(function_definition,[]) ).

fof(f422,plain,
    a_select2(rhoold,pv89) = sF43,
    introduced(function_definition,[]) ).

fof(f426,plain,
    sF47 = abs(sF43),
    introduced(function_definition,[]) ).

fof(f427,plain,
    sF48 = plus(sF46,sF47),
    introduced(function_definition,[]) ).

fof(f428,plain,
    divide(sF45,sF48) = sF49,
    introduced(function_definition,[]) ).

fof(f429,plain,
    sum(n0,sF41,sF49) = sF50,
    introduced(function_definition,[]) ).

fof(f325,plain,
    pv88 = sum(n0,minus(n5,n1),divide(abs(minus(a_select2(rho,pv89),a_select2(rhoold,pv89))),plus(abs(a_select2(rho,pv89)),abs(a_select2(rhoold,pv89))))),
    inference(cnf_transformation,[],[f159]) ).

fof(f159,plain,
    ( ( n0 != sum(n0,minus(n0,n1),divide(abs(minus(a_select2(sigma,pv91),a_select2(sigmaold,pv91))),plus(abs(a_select2(sigma,pv91)),abs(a_select2(sigmaold,pv91)))))
      | pv88 != sum(n0,minus(n5,n1),divide(abs(minus(a_select2(rho,pv89),a_select2(rhoold,pv89))),plus(abs(a_select2(rho,pv89)),abs(a_select2(rhoold,pv89)))))
      | pv86 != sum(n0,minus(n5,n1),divide(abs(minus(a_select2(mu,pv87),a_select2(muold,pv87))),plus(abs(a_select2(mu,pv87)),abs(a_select2(muold,pv87))))) )
    & pv86 = sum(n0,minus(n5,n1),divide(abs(minus(a_select2(mu,pv87),a_select2(muold,pv87))),plus(abs(a_select2(mu,pv87)),abs(a_select2(muold,pv87)))))
    & pv88 = sum(n0,minus(n5,n1),divide(abs(minus(a_select2(rho,pv89),a_select2(rhoold,pv89))),plus(abs(a_select2(rho,pv89)),abs(a_select2(rhoold,pv89))))) ),
    inference(flattening,[],[f158]) ).

fof(f158,plain,
    ( ( n0 != sum(n0,minus(n0,n1),divide(abs(minus(a_select2(sigma,pv91),a_select2(sigmaold,pv91))),plus(abs(a_select2(sigma,pv91)),abs(a_select2(sigmaold,pv91)))))
      | pv88 != sum(n0,minus(n5,n1),divide(abs(minus(a_select2(rho,pv89),a_select2(rhoold,pv89))),plus(abs(a_select2(rho,pv89)),abs(a_select2(rhoold,pv89)))))
      | pv86 != sum(n0,minus(n5,n1),divide(abs(minus(a_select2(mu,pv87),a_select2(muold,pv87))),plus(abs(a_select2(mu,pv87)),abs(a_select2(muold,pv87))))) )
    & pv86 = sum(n0,minus(n5,n1),divide(abs(minus(a_select2(mu,pv87),a_select2(muold,pv87))),plus(abs(a_select2(mu,pv87)),abs(a_select2(muold,pv87)))))
    & pv88 = sum(n0,minus(n5,n1),divide(abs(minus(a_select2(rho,pv89),a_select2(rhoold,pv89))),plus(abs(a_select2(rho,pv89)),abs(a_select2(rhoold,pv89))))) ),
    inference(ennf_transformation,[],[f54]) ).

fof(f54,negated_conjecture,
    ~ ( ( pv86 = sum(n0,minus(n5,n1),divide(abs(minus(a_select2(mu,pv87),a_select2(muold,pv87))),plus(abs(a_select2(mu,pv87)),abs(a_select2(muold,pv87)))))
        & pv88 = sum(n0,minus(n5,n1),divide(abs(minus(a_select2(rho,pv89),a_select2(rhoold,pv89))),plus(abs(a_select2(rho,pv89)),abs(a_select2(rhoold,pv89))))) )
     => ( pv88 = sum(n0,minus(n5,n1),divide(abs(minus(a_select2(rho,pv89),a_select2(rhoold,pv89))),plus(abs(a_select2(rho,pv89)),abs(a_select2(rhoold,pv89)))))
        & n0 = sum(n0,minus(n0,n1),divide(abs(minus(a_select2(sigma,pv91),a_select2(sigmaold,pv91))),plus(abs(a_select2(sigma,pv91)),abs(a_select2(sigmaold,pv91)))))
        & pv86 = sum(n0,minus(n5,n1),divide(abs(minus(a_select2(mu,pv87),a_select2(muold,pv87))),plus(abs(a_select2(mu,pv87)),abs(a_select2(muold,pv87))))) ) ),
    inference(negated_conjecture,[],[f53]) ).

fof(f53,conjecture,
    ( ( pv86 = sum(n0,minus(n5,n1),divide(abs(minus(a_select2(mu,pv87),a_select2(muold,pv87))),plus(abs(a_select2(mu,pv87)),abs(a_select2(muold,pv87)))))
      & pv88 = sum(n0,minus(n5,n1),divide(abs(minus(a_select2(rho,pv89),a_select2(rhoold,pv89))),plus(abs(a_select2(rho,pv89)),abs(a_select2(rhoold,pv89))))) )
   => ( pv88 = sum(n0,minus(n5,n1),divide(abs(minus(a_select2(rho,pv89),a_select2(rhoold,pv89))),plus(abs(a_select2(rho,pv89)),abs(a_select2(rhoold,pv89)))))
      & n0 = sum(n0,minus(n0,n1),divide(abs(minus(a_select2(sigma,pv91),a_select2(sigmaold,pv91))),plus(abs(a_select2(sigma,pv91)),abs(a_select2(sigmaold,pv91)))))
      & pv86 = sum(n0,minus(n5,n1),divide(abs(minus(a_select2(mu,pv87),a_select2(muold,pv87))),plus(abs(a_select2(mu,pv87)),abs(a_select2(muold,pv87))))) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cl5_nebula_norm_0022) ).

fof(f466,plain,
    spl60_2,
    inference(avatar_split_clause,[],[f440,f450]) ).

fof(f450,plain,
    ( spl60_2
  <=> pv86 = sF59 ),
    introduced(avatar_definition,[new_symbols(naming,[spl60_2])]) ).

fof(f440,plain,
    pv86 = sF59,
    inference(definition_folding,[],[f326,f438,f437,f436,f435,f431,f434,f430,f433,f432,f431,f430,f420]) ).

fof(f432,plain,
    minus(sF51,sF52) = sF53,
    introduced(function_definition,[]) ).

fof(f433,plain,
    abs(sF53) = sF54,
    introduced(function_definition,[]) ).

fof(f430,plain,
    a_select2(mu,pv87) = sF51,
    introduced(function_definition,[]) ).

fof(f434,plain,
    sF55 = abs(sF51),
    introduced(function_definition,[]) ).

fof(f431,plain,
    a_select2(muold,pv87) = sF52,
    introduced(function_definition,[]) ).

fof(f435,plain,
    sF56 = abs(sF52),
    introduced(function_definition,[]) ).

fof(f436,plain,
    sF57 = plus(sF55,sF56),
    introduced(function_definition,[]) ).

fof(f437,plain,
    divide(sF54,sF57) = sF58,
    introduced(function_definition,[]) ).

fof(f438,plain,
    sum(n0,sF41,sF58) = sF59,
    introduced(function_definition,[]) ).

fof(f326,plain,
    pv86 = sum(n0,minus(n5,n1),divide(abs(minus(a_select2(mu,pv87),a_select2(muold,pv87))),plus(abs(a_select2(mu,pv87)),abs(a_select2(muold,pv87))))),
    inference(cnf_transformation,[],[f159]) ).

fof(f457,plain,
    ( ~ spl60_1
    | ~ spl60_2
    | ~ spl60_3 ),
    inference(avatar_split_clause,[],[f439,f454,f450,f446]) ).

fof(f439,plain,
    ( n0 != sF40
    | pv86 != sF59
    | pv88 != sF50 ),
    inference(definition_folding,[],[f327,f438,f437,f436,f435,f431,f434,f430,f433,f432,f431,f430,f420,f429,f428,f427,f426,f422,f425,f421,f424,f423,f422,f421,f420,f419,f418,f417,f416,f412,f415,f411,f414,f413,f412,f411,f410]) ).

fof(f413,plain,
    sF34 = minus(sF32,sF33),
    introduced(function_definition,[]) ).

fof(f414,plain,
    abs(sF34) = sF35,
    introduced(function_definition,[]) ).

fof(f411,plain,
    a_select2(sigma,pv91) = sF32,
    introduced(function_definition,[]) ).

fof(f415,plain,
    abs(sF32) = sF36,
    introduced(function_definition,[]) ).

fof(f412,plain,
    a_select2(sigmaold,pv91) = sF33,
    introduced(function_definition,[]) ).

fof(f416,plain,
    sF37 = abs(sF33),
    introduced(function_definition,[]) ).

fof(f417,plain,
    sF38 = plus(sF36,sF37),
    introduced(function_definition,[]) ).

fof(f418,plain,
    sF39 = divide(sF35,sF38),
    introduced(function_definition,[]) ).

fof(f327,plain,
    ( n0 != sum(n0,minus(n0,n1),divide(abs(minus(a_select2(sigma,pv91),a_select2(sigmaold,pv91))),plus(abs(a_select2(sigma,pv91)),abs(a_select2(sigmaold,pv91)))))
    | pv88 != sum(n0,minus(n5,n1),divide(abs(minus(a_select2(rho,pv89),a_select2(rhoold,pv89))),plus(abs(a_select2(rho,pv89)),abs(a_select2(rhoold,pv89)))))
    | pv86 != sum(n0,minus(n5,n1),divide(abs(minus(a_select2(mu,pv87),a_select2(muold,pv87))),plus(abs(a_select2(mu,pv87)),abs(a_select2(muold,pv87))))) ),
    inference(cnf_transformation,[],[f159]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem    : SWV050+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.13/0.12  % 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 : n009.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   : Tue Aug 30 18:54:50 EDT 2022
% 0.13/0.33  % CPUTime    : 
% 0.20/0.48  % (6724)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.49  % (6716)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.49  % (6715)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)
% 0.20/0.50  % (6727)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)
% 0.20/0.50  % (6710)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.50  % (6732)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.50  % (6729)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)
% 0.20/0.51  % (6735)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.51  % (6711)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)
% 0.20/0.51  % (6708)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)
% 0.20/0.51  % (6721)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)
% 0.20/0.51  % (6706)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)
% 0.20/0.51  % (6707)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)
% 0.20/0.51  % (6712)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)
% 0.20/0.52  % (6734)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)
% 0.20/0.52  % (6733)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)
% 0.20/0.52  % (6709)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)
% 0.20/0.52  % (6730)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)
% 0.20/0.52  % (6731)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.52  % (6720)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.52  % (6726)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)
% 0.20/0.53  % (6725)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.53  % (6723)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)
% 0.20/0.53  % (6722)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)
% 0.20/0.53  % (6736)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)
% 0.20/0.53  % (6718)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.53  % (6714)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.53  % (6717)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)
% 0.20/0.54  % (6714)Instruction limit reached!
% 0.20/0.54  % (6714)------------------------------
% 0.20/0.54  % (6714)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (6714)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (6714)Termination reason: Unknown
% 0.20/0.54  % (6714)Termination phase: Preprocessing 3
% 0.20/0.54  
% 0.20/0.54  % (6714)Memory used [KB]: 1023
% 0.20/0.54  % (6714)Time elapsed: 0.003 s
% 0.20/0.54  % (6714)Instructions burned: 3 (million)
% 0.20/0.54  % (6714)------------------------------
% 0.20/0.54  % (6714)------------------------------
% 0.20/0.54  % (6735)First to succeed.
% 0.20/0.54  % (6732)Also succeeded, but the first one will report.
% 0.20/0.54  % (6735)Refutation found. Thanks to Tanya!
% 0.20/0.54  % SZS status Theorem for theBenchmark
% 0.20/0.54  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.54  % (6735)------------------------------
% 0.20/0.54  % (6735)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (6735)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (6735)Termination reason: Refutation
% 0.20/0.54  
% 0.20/0.54  % (6735)Memory used [KB]: 5884
% 0.20/0.54  % (6735)Time elapsed: 0.144 s
% 0.20/0.54  % (6735)Instructions burned: 21 (million)
% 0.20/0.54  % (6735)------------------------------
% 0.20/0.54  % (6735)------------------------------
% 0.20/0.54  % (6705)Success in time 0.195 s
%------------------------------------------------------------------------------