TSTP Solution File: NUM523+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : NUM523+1 : TPTP v8.1.0. Released v4.0.0.
% 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 : 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 : Wed Aug 31 18:05:37 EDT 2022

% Result   : Theorem 0.20s 0.54s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   51 (   9 unt;   0 def)
%            Number of atoms       :  172 (  18 equ)
%            Maximal formula atoms :    8 (   3 avg)
%            Number of connectives :  196 (  75   ~;  76   |;  29   &)
%                                         (   7 <=>;   9  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   4 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   4 con; 0-2 aty)
%            Number of variables   :   61 (  54   !;   7   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f346,plain,
    $false,
    inference(avatar_sat_refutation,[],[f271,f287,f291,f343]) ).

fof(f343,plain,
    ( spl4_1
    | ~ spl4_2 ),
    inference(avatar_contradiction_clause,[],[f341]) ).

fof(f341,plain,
    ( $false
    | spl4_1
    | ~ spl4_2 ),
    inference(unit_resulting_resolution,[],[f201,f197,f243,f197,f266,f266,f269,f213]) ).

fof(f213,plain,
    ! [X2,X0,X1] :
      ( ~ doDivides0(X0,sdtasdt0(X1,X2))
      | ~ isPrime0(X0)
      | doDivides0(X0,X2)
      | ~ aNaturalNumber0(X1)
      | doDivides0(X0,X1)
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f155]) ).

fof(f155,plain,
    ! [X0,X1,X2] :
      ( ~ isPrime0(X0)
      | ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(X2)
      | doDivides0(X0,X2)
      | ~ aNaturalNumber0(X1)
      | ~ doDivides0(X0,sdtasdt0(X1,X2))
      | doDivides0(X0,X1) ),
    inference(rectify,[],[f129]) ).

fof(f129,plain,
    ! [X2,X1,X0] :
      ( ~ isPrime0(X2)
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X0)
      | doDivides0(X2,X0)
      | ~ aNaturalNumber0(X1)
      | ~ doDivides0(X2,sdtasdt0(X1,X0))
      | doDivides0(X2,X1) ),
    inference(flattening,[],[f128]) ).

fof(f128,plain,
    ! [X0,X2,X1] :
      ( doDivides0(X2,X0)
      | doDivides0(X2,X1)
      | ~ isPrime0(X2)
      | ~ doDivides0(X2,sdtasdt0(X1,X0))
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(X1) ),
    inference(ennf_transformation,[],[f47]) ).

fof(f47,plain,
    ! [X0,X2,X1] :
      ( ( aNaturalNumber0(X2)
        & aNaturalNumber0(X0)
        & aNaturalNumber0(X1) )
     => ( ( isPrime0(X2)
          & doDivides0(X2,sdtasdt0(X1,X0)) )
       => ( doDivides0(X2,X0)
          | doDivides0(X2,X1) ) ) ),
    inference(rectify,[],[f39]) ).

fof(f39,axiom,
    ! [X1,X0,X2] :
      ( ( aNaturalNumber0(X0)
        & aNaturalNumber0(X2)
        & aNaturalNumber0(X1) )
     => ( ( doDivides0(X2,sdtasdt0(X0,X1))
          & isPrime0(X2) )
       => ( doDivides0(X2,X1)
          | doDivides0(X2,X0) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mPDP) ).

fof(f269,plain,
    ( doDivides0(xp,sdtasdt0(xn,xn))
    | ~ spl4_2 ),
    inference(avatar_component_clause,[],[f268]) ).

fof(f268,plain,
    ( spl4_2
  <=> doDivides0(xp,sdtasdt0(xn,xn)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).

fof(f266,plain,
    ( ~ doDivides0(xp,xn)
    | spl4_1 ),
    inference(avatar_component_clause,[],[f264]) ).

fof(f264,plain,
    ( spl4_1
  <=> doDivides0(xp,xn) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).

fof(f243,plain,
    isPrime0(xp),
    inference(cnf_transformation,[],[f43]) ).

fof(f43,axiom,
    isPrime0(xp),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3025) ).

fof(f197,plain,
    aNaturalNumber0(xn),
    inference(cnf_transformation,[],[f40]) ).

fof(f40,axiom,
    ( aNaturalNumber0(xp)
    & sz00 != xn
    & aNaturalNumber0(xm)
    & sz00 != xp
    & aNaturalNumber0(xn)
    & sz00 != xm ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2987) ).

fof(f201,plain,
    aNaturalNumber0(xp),
    inference(cnf_transformation,[],[f40]) ).

fof(f291,plain,
    ( spl4_2
    | ~ spl4_3 ),
    inference(avatar_split_clause,[],[f290,f278,f268]) ).

fof(f278,plain,
    ( spl4_3
  <=> aNaturalNumber0(sdtasdt0(xm,xm)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_3])]) ).

fof(f290,plain,
    ( doDivides0(xp,sdtasdt0(xn,xn))
    | ~ spl4_3 ),
    inference(subsumption_resolution,[],[f289,f279]) ).

fof(f279,plain,
    ( aNaturalNumber0(sdtasdt0(xm,xm))
    | ~ spl4_3 ),
    inference(avatar_component_clause,[],[f278]) ).

fof(f289,plain,
    ( ~ aNaturalNumber0(sdtasdt0(xm,xm))
    | doDivides0(xp,sdtasdt0(xn,xn)) ),
    inference(subsumption_resolution,[],[f288,f201]) ).

fof(f288,plain,
    ( ~ aNaturalNumber0(xp)
    | doDivides0(xp,sdtasdt0(xn,xn))
    | ~ aNaturalNumber0(sdtasdt0(xm,xm)) ),
    inference(superposition,[],[f274,f216]) ).

fof(f216,plain,
    sdtasdt0(xp,sdtasdt0(xm,xm)) = sdtasdt0(xn,xn),
    inference(cnf_transformation,[],[f42]) ).

fof(f42,axiom,
    sdtasdt0(xp,sdtasdt0(xm,xm)) = sdtasdt0(xn,xn),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3014) ).

fof(f274,plain,
    ! [X2,X0] :
      ( doDivides0(X0,sdtasdt0(X0,X2))
      | ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(X2) ),
    inference(subsumption_resolution,[],[f251,f186]) ).

fof(f186,plain,
    ! [X0,X1] :
      ( aNaturalNumber0(sdtasdt0(X1,X0))
      | ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(X1) ),
    inference(cnf_transformation,[],[f124]) ).

fof(f124,plain,
    ! [X0,X1] :
      ( ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0)
      | aNaturalNumber0(sdtasdt0(X1,X0)) ),
    inference(flattening,[],[f123]) ).

fof(f123,plain,
    ! [X0,X1] :
      ( aNaturalNumber0(sdtasdt0(X1,X0))
      | ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(X1) ),
    inference(ennf_transformation,[],[f64]) ).

fof(f64,plain,
    ! [X0,X1] :
      ( ( aNaturalNumber0(X0)
        & aNaturalNumber0(X1) )
     => aNaturalNumber0(sdtasdt0(X1,X0)) ),
    inference(rectify,[],[f5]) ).

fof(f5,axiom,
    ! [X1,X0] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => aNaturalNumber0(sdtasdt0(X0,X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsB_02) ).

fof(f251,plain,
    ! [X2,X0] :
      ( ~ aNaturalNumber0(X0)
      | doDivides0(X0,sdtasdt0(X0,X2))
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(sdtasdt0(X0,X2)) ),
    inference(equality_resolution,[],[f185]) ).

fof(f185,plain,
    ! [X2,X0,X1] :
      ( doDivides0(X0,X1)
      | ~ aNaturalNumber0(X2)
      | sdtasdt0(X0,X2) != X1
      | ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(X1) ),
    inference(cnf_transformation,[],[f143]) ).

fof(f143,plain,
    ! [X0,X1] :
      ( ( ( doDivides0(X0,X1)
          | ! [X2] :
              ( ~ aNaturalNumber0(X2)
              | sdtasdt0(X0,X2) != X1 ) )
        & ( ( aNaturalNumber0(sK2(X0,X1))
            & sdtasdt0(X0,sK2(X0,X1)) = X1 )
          | ~ doDivides0(X0,X1) ) )
      | ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(X1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f141,f142]) ).

fof(f142,plain,
    ! [X0,X1] :
      ( ? [X3] :
          ( aNaturalNumber0(X3)
          & sdtasdt0(X0,X3) = X1 )
     => ( aNaturalNumber0(sK2(X0,X1))
        & sdtasdt0(X0,sK2(X0,X1)) = X1 ) ),
    introduced(choice_axiom,[]) ).

fof(f141,plain,
    ! [X0,X1] :
      ( ( ( doDivides0(X0,X1)
          | ! [X2] :
              ( ~ aNaturalNumber0(X2)
              | sdtasdt0(X0,X2) != X1 ) )
        & ( ? [X3] :
              ( aNaturalNumber0(X3)
              & sdtasdt0(X0,X3) = X1 )
          | ~ doDivides0(X0,X1) ) )
      | ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(X1) ),
    inference(rectify,[],[f140]) ).

fof(f140,plain,
    ! [X1,X0] :
      ( ( ( doDivides0(X1,X0)
          | ! [X2] :
              ( ~ aNaturalNumber0(X2)
              | sdtasdt0(X1,X2) != X0 ) )
        & ( ? [X2] :
              ( aNaturalNumber0(X2)
              & sdtasdt0(X1,X2) = X0 )
          | ~ doDivides0(X1,X0) ) )
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(nnf_transformation,[],[f77]) ).

fof(f77,plain,
    ! [X1,X0] :
      ( ( doDivides0(X1,X0)
      <=> ? [X2] :
            ( aNaturalNumber0(X2)
            & sdtasdt0(X1,X2) = X0 ) )
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f76]) ).

fof(f76,plain,
    ! [X0,X1] :
      ( ( doDivides0(X1,X0)
      <=> ? [X2] :
            ( aNaturalNumber0(X2)
            & sdtasdt0(X1,X2) = X0 ) )
      | ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(X1) ),
    inference(ennf_transformation,[],[f61]) ).

fof(f61,plain,
    ! [X0,X1] :
      ( ( aNaturalNumber0(X0)
        & aNaturalNumber0(X1) )
     => ( doDivides0(X1,X0)
      <=> ? [X2] :
            ( aNaturalNumber0(X2)
            & sdtasdt0(X1,X2) = X0 ) ) ),
    inference(rectify,[],[f30]) ).

fof(f30,axiom,
    ! [X1,X0] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => ( doDivides0(X0,X1)
      <=> ? [X2] :
            ( sdtasdt0(X0,X2) = X1
            & aNaturalNumber0(X2) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefDiv) ).

fof(f287,plain,
    spl4_3,
    inference(avatar_contradiction_clause,[],[f286]) ).

fof(f286,plain,
    ( $false
    | spl4_3 ),
    inference(unit_resulting_resolution,[],[f199,f199,f280,f186]) ).

fof(f280,plain,
    ( ~ aNaturalNumber0(sdtasdt0(xm,xm))
    | spl4_3 ),
    inference(avatar_component_clause,[],[f278]) ).

fof(f199,plain,
    aNaturalNumber0(xm),
    inference(cnf_transformation,[],[f40]) ).

fof(f271,plain,
    ( ~ spl4_1
    | ~ spl4_2 ),
    inference(avatar_split_clause,[],[f241,f268,f264]) ).

fof(f241,plain,
    ( ~ doDivides0(xp,sdtasdt0(xn,xn))
    | ~ doDivides0(xp,xn) ),
    inference(cnf_transformation,[],[f80]) ).

fof(f80,plain,
    ( ~ doDivides0(xp,sdtasdt0(xn,xn))
    | ~ doDivides0(xp,xn) ),
    inference(ennf_transformation,[],[f45]) ).

fof(f45,negated_conjecture,
    ~ ( doDivides0(xp,sdtasdt0(xn,xn))
      & doDivides0(xp,xn) ),
    inference(negated_conjecture,[],[f44]) ).

fof(f44,conjecture,
    ( doDivides0(xp,sdtasdt0(xn,xn))
    & doDivides0(xp,xn) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem    : NUM523+1 : TPTP v8.1.0. Released v4.0.0.
% 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 : n018.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   : Tue Aug 30 06:57:10 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.50  % (30177)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.51  % (30170)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  % (30177)Instruction limit reached!
% 0.20/0.51  % (30177)------------------------------
% 0.20/0.51  % (30177)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51  % (30178)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.51  % (30178)Instruction limit reached!
% 0.20/0.51  % (30178)------------------------------
% 0.20/0.51  % (30178)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51  % (30178)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51  % (30178)Termination reason: Unknown
% 0.20/0.51  % (30178)Termination phase: Clausification
% 0.20/0.51  
% 0.20/0.51  % (30178)Memory used [KB]: 1023
% 0.20/0.51  % (30178)Time elapsed: 0.002 s
% 0.20/0.51  % (30178)Instructions burned: 3 (million)
% 0.20/0.51  % (30178)------------------------------
% 0.20/0.51  % (30178)------------------------------
% 0.20/0.51  TRYING [1]
% 0.20/0.51  % (30177)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51  % (30177)Termination reason: Unknown
% 0.20/0.51  % (30177)Termination phase: Saturation
% 0.20/0.51  
% 0.20/0.51  % (30177)Memory used [KB]: 5628
% 0.20/0.51  % (30177)Time elapsed: 0.097 s
% 0.20/0.51  % (30177)Instructions burned: 8 (million)
% 0.20/0.51  % (30177)------------------------------
% 0.20/0.51  % (30177)------------------------------
% 0.20/0.51  % (30184)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  % (30179)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)
% 0.20/0.52  % (30185)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)
% 0.20/0.52  % (30171)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)
% 0.20/0.52  % (30173)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  % (30198)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.52  TRYING [2]
% 0.20/0.52  % (30192)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)
% 0.20/0.52  % (30175)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)
% 0.20/0.52  TRYING [3]
% 0.20/0.53  % (30197)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)
% 0.20/0.53  % (30199)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  % (30182)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  % (30172)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)
% 0.20/0.53  % (30180)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.53  % (30174)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53  % (30187)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.53  % (30195)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.53  % (30190)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)
% 0.20/0.53  % (30176)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)
% 0.20/0.53  % (30188)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.53  % (30171)First to succeed.
% 0.20/0.54  % (30186)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)
% 0.20/0.54  % (30189)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)
% 0.20/0.54  % (30191)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.54  % (30196)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)
% 0.20/0.54  % (30183)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.54  % (30171)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  % (30171)------------------------------
% 0.20/0.54  % (30171)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (30171)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (30171)Termination reason: Refutation
% 0.20/0.54  
% 0.20/0.54  % (30171)Memory used [KB]: 5756
% 0.20/0.54  % (30171)Time elapsed: 0.128 s
% 0.20/0.54  % (30171)Instructions burned: 11 (million)
% 0.20/0.54  % (30171)------------------------------
% 0.20/0.54  % (30171)------------------------------
% 0.20/0.54  % (30169)Success in time 0.184 s
%------------------------------------------------------------------------------