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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : COM225_1 : TPTP v9.3.1. Released v9.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n017.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 09:39:49 AM UTC 2026

% Result   : Theorem 0.65s 0.97s
% Output   : Refutation 2.81s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   70 (  24 unt;   0 typ;  10 def)
%            Number of atoms       :  199 (  62 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  210 (  81   ~;  93   |;  26   &)
%                                         (   6 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of types       :    4 (   3 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   19 (  17 usr;   7 prp; 0-2 aty)
%            Number of functors    :   20 (  20 usr;  11 con; 0-3 aty)
%            Number of variables   :   51 (   0 sgn  43   !;   8   ?;  51   :)

% Comments : 
%------------------------------------------------------------------------------
tff(type_def_5,type,
    vTerm: $tType ).

tff(type_def_6,type,
    vOptTerm: $tType ).

tff(type_def_7,type,
    vTy: $tType ).

tff(func_def_0,type,
    vNat: vTy ).

tff(func_def_1,type,
    vSucc: vTerm > vTerm ).

tff(func_def_2,type,
    vPred: vTerm > vTerm ).

tff(func_def_3,type,
    vsomeTerm: vTerm > vOptTerm ).

tff(func_def_4,type,
    vZero: vTerm ).

tff(func_def_5,type,
    vIszero: vTerm > vTerm ).

tff(func_def_6,type,
    vTrue: vTerm ).

tff(func_def_7,type,
    vFalse: vTerm ).

tff(func_def_8,type,
    vnoTerm: vOptTerm ).

tff(func_def_9,type,
    vPlus: ( vTerm * vTerm ) > vTerm ).

tff(func_def_10,type,
    vB: vTy ).

tff(func_def_11,type,
    vIfelse: ( vTerm * vTerm * vTerm ) > vTerm ).

tff(func_def_12,type,
    vt1: vTerm ).

tff(func_def_13,type,
    vreduce: vTerm > vOptTerm ).

tff(func_def_14,type,
    vplusop: ( vTerm * vTerm ) > vTerm ).

tff(func_def_15,type,
    vgetTerm: vOptTerm > vTerm ).

tff(func_def_16,type,
    sK0: vTy ).

tff(func_def_17,type,
    sK1: vTerm ).

tff(func_def_18,type,
    sK2: vTerm ).

tff(func_def_19,type,
    sK3: vTerm ).

tff(pred_def_1,type,
    visValue: vTerm > $o ).

tff(pred_def_2,type,
    visNV: vTerm > $o ).

tff(pred_def_3,type,
    visSomeTerm: vOptTerm > $o ).

tff(pred_def_4,type,
    vptchecksimple: ( vTerm * vTy ) > $o ).

tff(pred_def_5,type,
    sP4: vTerm > $o ).

tff(pred_def_6,type,
    sP5: vTerm > $o ).

tff(pred_def_7,type,
    sP6: vTerm > $o ).

tff(pred_def_8,type,
    sP7: vTerm > $o ).

tff(pred_def_9,type,
    sP8: vOptTerm > $o ).

tff(pred_def_10,type,
    sP9: vOptTerm > $o ).

tff(pred_def_11,type,
    sP10: vOptTerm > $o ).

tff(f106,axiom,
    ! [X0: vTy,X1: vTerm] :
      ( ( visSomeTerm(vreduce(vt1))
        & ( vt1 != vZero )
        & ! [X2: vTerm] : ( vt1 != vSucc(X2) )
        & vptchecksimple(vPred(vt1),X0)
        & ( vreduce(vPred(vt1)) = vsomeTerm(X1) ) )
     => vptchecksimple(X1,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','Preservation-Pred-t1-isSomeTerm-True') ).

tff(f107,axiom,
    ! [X0: vTy,X1: vTerm] :
      ( ( ~ visSomeTerm(vreduce(vt1))
        & ( vt1 != vZero )
        & ! [X2: vTerm] : ( vt1 != vSucc(X2) )
        & vptchecksimple(vPred(vt1),X0)
        & ( vreduce(vPred(vt1)) = vsomeTerm(X1) ) )
     => vptchecksimple(X1,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','Preservation-Pred-t1-isSomeTerm-False') ).

tff(f108,conjecture,
    ! [X0: vTy,X1: vTerm] :
      ( ( ( vt1 != vZero )
        & ! [X2: vTerm] : ( vt1 != vSucc(X2) )
        & vptchecksimple(vPred(vt1),X0)
        & ( vreduce(vPred(vt1)) = vsomeTerm(X1) ) )
     => vptchecksimple(X1,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','Preservation-Pred-t1') ).

tff(f109,negated_conjecture,
    ~ ! [X0: vTy,X1: vTerm] :
        ( ( ( vt1 != vZero )
          & ! [X2: vTerm] : ( vt1 != vSucc(X2) )
          & vptchecksimple(vPred(vt1),X0)
          & ( vreduce(vPred(vt1)) = vsomeTerm(X1) ) )
       => vptchecksimple(X1,X0) ),
    inference(negated_conjecture,[status(cth)],[f108]) ).

tff(f110,plain,
    ? [X0: vTy,X1: vTerm] :
      ( ~ vptchecksimple(X1,X0)
      & ( vt1 != vZero )
      & ! [X2: vTerm] : ( vt1 != vSucc(X2) )
      & vptchecksimple(vPred(vt1),X0)
      & ( vreduce(vPred(vt1)) = vsomeTerm(X1) ) ),
    inference(ennf_transformation,[],[f109]) ).

tff(f111,plain,
    ? [X0: vTy,X1: vTerm] :
      ( ~ vptchecksimple(X1,X0)
      & ( vt1 != vZero )
      & ! [X2: vTerm] : ( vt1 != vSucc(X2) )
      & vptchecksimple(vPred(vt1),X0)
      & ( vreduce(vPred(vt1)) = vsomeTerm(X1) ) ),
    inference(flattening,[],[f110]) ).

tff(f115,plain,
    ! [X0: vTy,X1: vTerm] :
      ( vptchecksimple(X1,X0)
      | visSomeTerm(vreduce(vt1))
      | ( vZero = vt1 )
      | ? [X2: vTerm] : ( vSucc(X2) = vt1 )
      | ~ vptchecksimple(vPred(vt1),X0)
      | ( vsomeTerm(X1) != vreduce(vPred(vt1)) ) ),
    inference(ennf_transformation,[],[f107]) ).

tff(f116,plain,
    ! [X0: vTy,X1: vTerm] :
      ( vptchecksimple(X1,X0)
      | visSomeTerm(vreduce(vt1))
      | ( vZero = vt1 )
      | ? [X2: vTerm] : ( vSucc(X2) = vt1 )
      | ~ vptchecksimple(vPred(vt1),X0)
      | ( vsomeTerm(X1) != vreduce(vPred(vt1)) ) ),
    inference(flattening,[],[f115]) ).

tff(f117,plain,
    ! [X0: vTy,X1: vTerm] :
      ( vptchecksimple(X1,X0)
      | ~ visSomeTerm(vreduce(vt1))
      | ( vZero = vt1 )
      | ? [X2: vTerm] : ( vSucc(X2) = vt1 )
      | ~ vptchecksimple(vPred(vt1),X0)
      | ( vsomeTerm(X1) != vreduce(vPred(vt1)) ) ),
    inference(ennf_transformation,[],[f106]) ).

tff(f118,plain,
    ! [X0: vTy,X1: vTerm] :
      ( vptchecksimple(X1,X0)
      | ~ visSomeTerm(vreduce(vt1))
      | ( vZero = vt1 )
      | ? [X2: vTerm] : ( vSucc(X2) = vt1 )
      | ~ vptchecksimple(vPred(vt1),X0)
      | ( vsomeTerm(X1) != vreduce(vPred(vt1)) ) ),
    inference(flattening,[],[f117]) ).

tff(f121,plain,
    ( ~ vptchecksimple(sK1,sK0)
    & ( vt1 != vZero )
    & ! [X2: vTerm] : ( vt1 != vSucc(X2) )
    & vptchecksimple(vPred(vt1),sK0)
    & ( vreduce(vPred(vt1)) = vsomeTerm(sK1) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f111]) ).

tff(f122,plain,
    ! [X0: vTy,X1: vTerm] :
      ( vptchecksimple(X1,X0)
      | visSomeTerm(vreduce(vt1))
      | ( vZero = vt1 )
      | ( vt1 = vSucc(sK2) )
      | ~ vptchecksimple(vPred(vt1),X0)
      | ( vsomeTerm(X1) != vreduce(vPred(vt1)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X2,sK2)],[f116]) ).

tff(f123,plain,
    ! [X0: vTy,X1: vTerm] :
      ( vptchecksimple(X1,X0)
      | ~ visSomeTerm(vreduce(vt1))
      | ( vZero = vt1 )
      | ( vt1 = vSucc(sK3) )
      | ~ vptchecksimple(vPred(vt1),X0)
      | ( vsomeTerm(X1) != vreduce(vPred(vt1)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(X2,sK3)],[f118]) ).

tff(f124,plain,
    vreduce(vPred(vt1)) = vsomeTerm(sK1),
    inference(cnf_transformation,[],[f121]) ).

tff(f125,plain,
    vptchecksimple(vPred(vt1),sK0),
    inference(cnf_transformation,[],[f121]) ).

tff(f126,plain,
    ! [X2: vTerm] : ( vSucc(X2) != vt1 ),
    inference(cnf_transformation,[],[f121]) ).

tff(f127,plain,
    vZero != vt1,
    inference(cnf_transformation,[],[f121]) ).

tff(f128,plain,
    ~ vptchecksimple(sK1,sK0),
    inference(cnf_transformation,[],[f121]) ).

tff(f136,plain,
    ! [X0: vTy,X1: vTerm] :
      ( vptchecksimple(X1,X0)
      | visSomeTerm(vreduce(vt1))
      | ( vZero = vt1 )
      | ( vt1 = vSucc(sK2) )
      | ~ vptchecksimple(vPred(vt1),X0)
      | ( vsomeTerm(X1) != vreduce(vPred(vt1)) ) ),
    inference(cnf_transformation,[],[f122]) ).

tff(f137,plain,
    ! [X0: vTy,X1: vTerm] :
      ( vptchecksimple(X1,X0)
      | ~ visSomeTerm(vreduce(vt1))
      | ( vZero = vt1 )
      | ( vt1 = vSucc(sK3) )
      | ~ vptchecksimple(vPred(vt1),X0)
      | ( vsomeTerm(X1) != vreduce(vPred(vt1)) ) ),
    inference(cnf_transformation,[],[f123]) ).

tff(f139,definition,
    ~ sP4(vZero),
    introduced(definition,[new_symbols(definition,[sP4])],[inequality_splitting_name_introduction]) ).

tff(f140,plain,
    sP4(vt1),
    inference(inequality_splitting,[],[f127,f139]) ).

tff(f141,definition,
    ~ sP5(vt1),
    introduced(definition,[new_symbols(definition,[sP5])],[inequality_splitting_name_introduction]) ).

tff(f142,plain,
    ! [X2: vTerm] : sP5(vSucc(X2)),
    inference(inequality_splitting,[],[f126,f141]) ).

tff(f147,definition,
    ~ sP8(vreduce(vPred(vt1))),
    introduced(definition,[new_symbols(definition,[sP8])],[inequality_splitting_name_introduction]) ).

tff(f148,plain,
    ! [X0: vTy,X1: vTerm] :
      ( ~ vptchecksimple(vPred(vt1),X0)
      | visSomeTerm(vreduce(vt1))
      | ( vZero = vt1 )
      | ( vt1 = vSucc(sK2) )
      | vptchecksimple(X1,X0)
      | sP8(vsomeTerm(X1)) ),
    inference(inequality_splitting,[],[f136,f147]) ).

tff(f149,definition,
    ~ sP9(vreduce(vPred(vt1))),
    introduced(definition,[new_symbols(definition,[sP9])],[inequality_splitting_name_introduction]) ).

tff(f150,plain,
    ! [X0: vTy,X1: vTerm] :
      ( ~ vptchecksimple(vPred(vt1),X0)
      | ~ visSomeTerm(vreduce(vt1))
      | ( vZero = vt1 )
      | ( vt1 = vSucc(sK3) )
      | vptchecksimple(X1,X0)
      | sP9(vsomeTerm(X1)) ),
    inference(inequality_splitting,[],[f137,f149]) ).

tff(f153,plain,
    ! [X0: vTerm] :
      ( ~ visSomeTerm(vreduce(vt1))
      | ( vZero = vt1 )
      | ( vt1 = vSucc(sK3) )
      | vptchecksimple(X0,sK0)
      | sP9(vsomeTerm(X0)) ),
    inference(resolution,[],[f125,f150]) ).

tff(f154,plain,
    ! [X0: vTerm] :
      ( visSomeTerm(vreduce(vt1))
      | ( vZero = vt1 )
      | ( vt1 = vSucc(sK2) )
      | vptchecksimple(X0,sK0)
      | sP8(vsomeTerm(X0)) ),
    inference(resolution,[],[f125,f148]) ).

tff(f156,definition,
    ( spl11_1
  <=> ! [X0: vTerm] :
        ( vptchecksimple(X0,sK0)
        | sP8(vsomeTerm(X0)) ) ),
    introduced(definition,[new_symbols(definition,[spl11_1])],[avatar_definition]) ).

tff(f157,plain,
    ( ! [X0: vTerm] :
        ( sP8(vsomeTerm(X0))
        | vptchecksimple(X0,sK0) )
    | ~ spl11_1 ),
    inference(avatar_component_clause,[],[f156]) ).

tff(f159,definition,
    ( spl11_2
  <=> ( vt1 = vSucc(sK2) ) ),
    introduced(definition,[new_symbols(definition,[spl11_2])],[avatar_definition]) ).

tff(f161,plain,
    ( ( vt1 = vSucc(sK2) )
    | ~ spl11_2 ),
    inference(avatar_component_clause,[],[f159]) ).

tff(f163,definition,
    ( spl11_3
  <=> ( vZero = vt1 ) ),
    introduced(definition,[new_symbols(definition,[spl11_3])],[avatar_definition]) ).

tff(f165,plain,
    ( ( vZero = vt1 )
    | ~ spl11_3 ),
    inference(avatar_component_clause,[],[f163]) ).

tff(f167,definition,
    ( spl11_4
  <=> visSomeTerm(vreduce(vt1)) ),
    introduced(definition,[new_symbols(definition,[spl11_4])],[avatar_definition]) ).

tff(f170,plain,
    ( spl11_1
    | spl11_2
    | spl11_3
    | spl11_4 ),
    inference(avatar_split_clause,[],[f154,f167,f163,f159,f156]) ).

tff(f172,definition,
    ( spl11_5
  <=> ! [X0: vTerm] :
        ( vptchecksimple(X0,sK0)
        | sP9(vsomeTerm(X0)) ) ),
    introduced(definition,[new_symbols(definition,[spl11_5])],[avatar_definition]) ).

tff(f173,plain,
    ( ! [X0: vTerm] :
        ( sP9(vsomeTerm(X0))
        | vptchecksimple(X0,sK0) )
    | ~ spl11_5 ),
    inference(avatar_component_clause,[],[f172]) ).

tff(f175,definition,
    ( spl11_6
  <=> ( vt1 = vSucc(sK3) ) ),
    introduced(definition,[new_symbols(definition,[spl11_6])],[avatar_definition]) ).

tff(f177,plain,
    ( ( vt1 = vSucc(sK3) )
    | ~ spl11_6 ),
    inference(avatar_component_clause,[],[f175]) ).

tff(f178,plain,
    ( spl11_5
    | spl11_6
    | spl11_3
    | ~ spl11_4 ),
    inference(avatar_split_clause,[],[f153,f167,f163,f175,f172]) ).

tff(f181,plain,
    ( sP5(vt1)
    | ~ spl11_2 ),
    inference(superposition,[],[f142,f161]) ).

tff(f186,plain,
    ( $false
    | ~ spl11_2 ),
    inference(forward_subsumption_resolution,[],[f181,f141]) ).

tff(f187,plain,
    ~ spl11_2,
    inference(avatar_contradiction_clause,[],[f186]) ).

tff(f188,plain,
    ( ~ sP4(vt1)
    | ~ spl11_3 ),
    inference(superposition,[],[f139,f165]) ).

tff(f192,plain,
    ( $false
    | ~ spl11_3 ),
    inference(forward_subsumption_resolution,[],[f188,f140]) ).

tff(f193,plain,
    ~ spl11_3,
    inference(avatar_contradiction_clause,[],[f192]) ).

tff(f194,plain,
    ( sP9(vreduce(vPred(vt1)))
    | vptchecksimple(sK1,sK0)
    | ~ spl11_5 ),
    inference(superposition,[],[f173,f124]) ).

tff(f195,plain,
    ( vptchecksimple(sK1,sK0)
    | ~ spl11_5 ),
    inference(forward_subsumption_resolution,[],[f194,f149]) ).

tff(f196,plain,
    ( $false
    | ~ spl11_5 ),
    inference(forward_subsumption_resolution,[],[f195,f128]) ).

tff(f197,plain,
    ~ spl11_5,
    inference(avatar_contradiction_clause,[],[f196]) ).

tff(f198,plain,
    ( sP5(vt1)
    | ~ spl11_6 ),
    inference(superposition,[],[f142,f177]) ).

tff(f203,plain,
    ( $false
    | ~ spl11_6 ),
    inference(forward_subsumption_resolution,[],[f198,f141]) ).

tff(f204,plain,
    ~ spl11_6,
    inference(avatar_contradiction_clause,[],[f203]) ).

tff(f205,plain,
    ( sP8(vreduce(vPred(vt1)))
    | vptchecksimple(sK1,sK0)
    | ~ spl11_1 ),
    inference(superposition,[],[f157,f124]) ).

tff(f206,plain,
    ( vptchecksimple(sK1,sK0)
    | ~ spl11_1 ),
    inference(forward_subsumption_resolution,[],[f205,f147]) ).

tff(f207,plain,
    ( $false
    | ~ spl11_1 ),
    inference(forward_subsumption_resolution,[],[f206,f128]) ).

tff(f208,plain,
    ~ spl11_1,
    inference(avatar_contradiction_clause,[],[f207]) ).

cnf(s1,plain,
    ( spl11_1
    | spl11_2
    | spl11_3
    | spl11_4 ),
    inference(sat_conversion,[],[f170]) ).

cnf(s2,plain,
    ( spl11_3
    | ~ spl11_4
    | spl11_5
    | spl11_6 ),
    inference(sat_conversion,[],[f178]) ).

cnf(s3,plain,
    ~ spl11_2,
    inference(sat_conversion,[],[f187]) ).

cnf(s4,plain,
    ~ spl11_3,
    inference(sat_conversion,[],[f193]) ).

cnf(s5,plain,
    ~ spl11_5,
    inference(sat_conversion,[],[f197]) ).

cnf(s6,plain,
    ~ spl11_6,
    inference(sat_conversion,[],[f204]) ).

cnf(s7,plain,
    ~ spl11_1,
    inference(sat_conversion,[],[f208]) ).

cnf(s8,plain,
    ~ spl11_4,
    inference(rat,[],[s2,s6,s5,s4]) ).

cnf(s9,plain,
    $false,
    inference(rat,[],[s1,s8,s4,s3,s7]) ).

tff(f209,plain,
    $false,
    inference(avatar_sat_refutation,[],[s9]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : COM225_1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.18  % Computer : n017.cluster.edu
% 0.11/0.18  % Model    : x86_64 x86_64
% 0.11/0.18  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.18  % Memory   : 8046.5625MB
% 0.11/0.18  % OS       : Linux 6.8.0-71-generic
% 0.11/0.18  % CPULimit : 300
% 0.11/0.18  % WCLimit  : 300
% 0.11/0.18  % DateTime : Mon Sep 28 21:57:36 UTC 2026
% 0.11/0.18  % CPUTime  : 
% 0.11/0.18  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.22  Running first-order theorem proving
% 0.11/0.22  Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.65/0.97  % (4080516)Detected formulas, will run a generic FOF schedule.
% 0.65/0.97  % (4080650)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=4188209428:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 0.65/0.97  % (4080650)First to succeed.
% 0.65/0.97  % (4080650)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4080516"
% 0.65/0.97  % (4080653)dis-21_1_sil=8000:lcm=predicate:random_seed=1983980015:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 0.65/0.97  % (4080651)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1713882495:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 0.65/0.97  % (4080648)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=514910505:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 0.65/0.97  % (4080647)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=262429281:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 0.65/0.97  % (4080649)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=3203236485:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 0.65/0.97  % (4080652)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4251056427:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 0.65/0.97  % (4080651)Also succeeded, but the first one will report.
% 0.65/0.97  % (4080653)Also succeeded, but the first one will report.
% 0.65/0.97  % (4080652)Also succeeded, but the first one will report.
% 0.65/0.97  % (4080650)Refutation found. Thanks to Tanya!
% 0.65/0.97  % SZS status Theorem for theBenchmark
% 0.65/0.97  % SZS output start Proof for theBenchmark
% See solution above
% 2.81/1.17  % (4080650)------------------------------
% 2.81/1.17  % (4080650)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.81/1.17  % (4080650)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.81/1.17  % (4080650)CaDiCaL version: 2.1.3
% 2.81/1.17  % (4080650)Termination reason: Refutation
% 2.81/1.17  % (4080650)Time elapsed: 0.003 s
% 2.81/1.17  % (4080650)Peak memory usage: 90 MB
% 2.81/1.17  % (4080650)Instructions burned: 4 (million)
% 2.81/1.17  % (4080650)------------------------------
% 2.81/1.17  % (4080650)------------------------------
% 2.81/1.17  % (4080516)Success in time 0.31 s
% 2.81/1.17  % Vampire exiting
%------------------------------------------------------------------------------