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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : NUM492+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n008.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 12:15:26 PM UTC 2026

% Result   : Theorem 0.17s 1.60s
% Output   : Refutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   56 (  21 unt;   1 def)
%            Number of atoms       :  184 (  46 equ)
%            Maximal formula atoms :   12 (   3 avg)
%            Number of connectives :  200 (  72   ~;  62   |;  60   &)
%                                         (   1 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   2 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;   9 con; 0-2 aty)
%            Number of variables   :   44 (   0 sgn  32   !;  12   ?)

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

fof(f34,axiom,
    ! [X0,X1,X2] :
      ( ( aNaturalNumber0(X0)
        & aNaturalNumber0(X1)
        & aNaturalNumber0(X2) )
     => ( ( doDivides0(X0,X1)
          & doDivides0(X0,sdtpldt0(X1,X2)) )
       => doDivides0(X0,X2) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDivMin) ).

fof(f39,axiom,
    ( aNaturalNumber0(xn)
    & aNaturalNumber0(xm)
    & aNaturalNumber0(xp) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1837) ).

fof(f41,axiom,
    ( xp != sz00
    & xp != sz10
    & ! [X0] :
        ( ( aNaturalNumber0(X0)
          & ( ? [X1] :
                ( aNaturalNumber0(X1)
                & xp = sdtasdt0(X0,X1) )
            | doDivides0(X0,xp) ) )
       => ( X0 = sz10
          | X0 = xp ) )
    & isPrime0(xp)
    & ? [X0] :
        ( aNaturalNumber0(X0)
        & sdtasdt0(xn,xm) = sdtasdt0(xp,X0) )
    & doDivides0(xp,sdtasdt0(xn,xm)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1860) ).

fof(f43,axiom,
    ( aNaturalNumber0(xr)
    & sdtpldt0(xp,xr) = xn
    & xr = sdtmndt0(xn,xp) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1883) ).

fof(f46,axiom,
    sdtasdt0(xn,xm) = sdtpldt0(sdtasdt0(xp,xm),sdtasdt0(xr,xm)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1951) ).

fof(f48,axiom,
    ( ? [X0] :
        ( aNaturalNumber0(X0)
        & sdtasdt0(xn,xm) = sdtasdt0(xp,X0) )
    & ? [X0] :
        ( aNaturalNumber0(X0)
        & sdtasdt0(xp,xm) = sdtasdt0(xp,X0) )
    & doDivides0(xp,sdtasdt0(xp,xm)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2001) ).

fof(f49,conjecture,
    ( ? [X0] :
        ( aNaturalNumber0(X0)
        & sdtasdt0(xr,xm) = sdtasdt0(xp,X0) )
    | doDivides0(xp,sdtasdt0(xr,xm)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

fof(f50,negated_conjecture,
    ~ ( ? [X0] :
          ( aNaturalNumber0(X0)
          & sdtasdt0(xr,xm) = sdtasdt0(xp,X0) )
      | doDivides0(xp,sdtasdt0(xr,xm)) ),
    inference(negated_conjecture,[status(cth)],[f49]) ).

fof(f54,plain,
    ( xp != sz00
    & xp != sz10
    & ! [X0] :
        ( ( aNaturalNumber0(X0)
          & ( ? [X1] :
                ( aNaturalNumber0(X1)
                & xp = sdtasdt0(X0,X1) )
            | doDivides0(X0,xp) ) )
       => ( X0 = sz10
          | X0 = xp ) )
    & isPrime0(xp)
    & ? [X2] :
        ( aNaturalNumber0(X2)
        & sdtasdt0(xn,xm) = sdtasdt0(xp,X2) )
    & doDivides0(xp,sdtasdt0(xn,xm)) ),
    inference(rectify,[],[f41]) ).

fof(f55,plain,
    ( ? [X0] :
        ( aNaturalNumber0(X0)
        & sdtasdt0(xn,xm) = sdtasdt0(xp,X0) )
    & ? [X1] :
        ( aNaturalNumber0(X1)
        & sdtasdt0(xp,xm) = sdtasdt0(xp,X1) )
    & doDivides0(xp,sdtasdt0(xp,xm)) ),
    inference(rectify,[],[f48]) ).

fof(f58,plain,
    ! [X0,X1] :
      ( aNaturalNumber0(sdtasdt0(X0,X1))
      | ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(X1) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f59,plain,
    ! [X0,X1] :
      ( aNaturalNumber0(sdtasdt0(X0,X1))
      | ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(X1) ),
    inference(flattening,[],[f58]) ).

fof(f110,plain,
    ! [X0,X1,X2] :
      ( doDivides0(X0,X2)
      | ~ doDivides0(X0,X1)
      | ~ doDivides0(X0,sdtpldt0(X1,X2))
      | ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X2) ),
    inference(ennf_transformation,[],[f34]) ).

fof(f111,plain,
    ! [X0,X1,X2] :
      ( doDivides0(X0,X2)
      | ~ doDivides0(X0,X1)
      | ~ doDivides0(X0,sdtpldt0(X1,X2))
      | ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X2) ),
    inference(flattening,[],[f110]) ).

fof(f122,plain,
    ( xp != sz00
    & xp != sz10
    & ! [X0] :
        ( X0 = sz10
        | X0 = xp
        | ~ aNaturalNumber0(X0)
        | ( ! [X1] :
              ( ~ aNaturalNumber0(X1)
              | sdtasdt0(X0,X1) != xp )
          & ~ doDivides0(X0,xp) ) )
    & isPrime0(xp)
    & ? [X2] :
        ( aNaturalNumber0(X2)
        & sdtasdt0(xn,xm) = sdtasdt0(xp,X2) )
    & doDivides0(xp,sdtasdt0(xn,xm)) ),
    inference(ennf_transformation,[],[f54]) ).

fof(f123,plain,
    ( xp != sz00
    & xp != sz10
    & ! [X0] :
        ( X0 = sz10
        | X0 = xp
        | ~ aNaturalNumber0(X0)
        | ( ! [X1] :
              ( ~ aNaturalNumber0(X1)
              | sdtasdt0(X0,X1) != xp )
          & ~ doDivides0(X0,xp) ) )
    & isPrime0(xp)
    & ? [X2] :
        ( aNaturalNumber0(X2)
        & sdtasdt0(xn,xm) = sdtasdt0(xp,X2) )
    & doDivides0(xp,sdtasdt0(xn,xm)) ),
    inference(flattening,[],[f122]) ).

fof(f124,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(xp,X0) != sdtasdt0(xr,xm) )
    & ~ doDivides0(xp,sdtasdt0(xr,xm)) ),
    inference(ennf_transformation,[],[f50]) ).

fof(f151,plain,
    ( xp != sz00
    & xp != sz10
    & ! [X0] :
        ( X0 = sz10
        | X0 = xp
        | ~ aNaturalNumber0(X0)
        | ( ! [X1] :
              ( ~ aNaturalNumber0(X1)
              | sdtasdt0(X0,X1) != xp )
          & ~ doDivides0(X0,xp) ) )
    & isPrime0(xp)
    & aNaturalNumber0(sK10)
    & sdtasdt0(xn,xm) = sdtasdt0(xp,sK10)
    & doDivides0(xp,sdtasdt0(xn,xm)) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK10]),skolemize(X2,sK10)],[f123]) ).

fof(f154,plain,
    ( aNaturalNumber0(sK13)
    & sdtasdt0(xn,xm) = sdtasdt0(xp,sK13)
    & aNaturalNumber0(sK14)
    & sdtasdt0(xp,xm) = sdtasdt0(xp,sK14)
    & doDivides0(xp,sdtasdt0(xp,xm)) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK13,sK14]),skolemize(X0,sK13),skolemize(X1,sK14)],[f55]) ).

fof(f159,plain,
    ! [X0,X1] :
      ( aNaturalNumber0(sdtasdt0(X0,X1))
      | ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(X1) ),
    inference(cnf_transformation,[],[f59]) ).

fof(f210,plain,
    ! [X2,X0,X1] :
      ( ~ doDivides0(X0,X1)
      | doDivides0(X0,X2)
      | ~ doDivides0(X0,sdtpldt0(X1,X2))
      | ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X2) ),
    inference(cnf_transformation,[],[f111]) ).

fof(f223,plain,
    aNaturalNumber0(xp),
    inference(cnf_transformation,[],[f39]) ).

fof(f224,plain,
    aNaturalNumber0(xm),
    inference(cnf_transformation,[],[f39]) ).

fof(f242,plain,
    doDivides0(xp,sdtasdt0(xn,xm)),
    inference(cnf_transformation,[],[f151]) ).

fof(f243,plain,
    sdtasdt0(xn,xm) = sdtasdt0(xp,sK10),
    inference(cnf_transformation,[],[f151]) ).

fof(f255,plain,
    aNaturalNumber0(xr),
    inference(cnf_transformation,[],[f43]) ).

fof(f261,plain,
    sdtasdt0(xn,xm) = sdtpldt0(sdtasdt0(xp,xm),sdtasdt0(xr,xm)),
    inference(cnf_transformation,[],[f46]) ).

fof(f264,plain,
    doDivides0(xp,sdtasdt0(xp,xm)),
    inference(cnf_transformation,[],[f154]) ).

fof(f265,plain,
    sdtasdt0(xp,xm) = sdtasdt0(xp,sK14),
    inference(cnf_transformation,[],[f154]) ).

fof(f266,plain,
    aNaturalNumber0(sK14),
    inference(cnf_transformation,[],[f154]) ).

fof(f269,plain,
    ~ doDivides0(xp,sdtasdt0(xr,xm)),
    inference(cnf_transformation,[],[f124]) ).

fof(f304,plain,
    doDivides0(xp,sdtasdt0(xp,sK10)),
    inference(superposition,[],[f242,f243]) ).

fof(f318,plain,
    ( aNaturalNumber0(sdtasdt0(xp,xm))
    | ~ aNaturalNumber0(xp)
    | ~ aNaturalNumber0(sK14) ),
    inference(superposition,[],[f159,f265]) ).

fof(f325,plain,
    ( aNaturalNumber0(sdtasdt0(xp,xm))
    | ~ aNaturalNumber0(sK14) ),
    inference(forward_subsumption_resolution,[],[f318,f223]) ).

fof(f328,plain,
    aNaturalNumber0(sdtasdt0(xp,xm)),
    inference(forward_subsumption_resolution,[],[f325,f266]) ).

fof(f330,plain,
    sdtpldt0(sdtasdt0(xp,xm),sdtasdt0(xr,xm)) = sdtasdt0(xp,sK10),
    inference(forward_demodulation,[],[f261,f243]) ).

fof(f425,definition,
    ( spl15_6
  <=> aNaturalNumber0(sdtasdt0(xr,xm)) ),
    introduced(definition,[new_symbols(definition,[spl15_6])],[avatar_definition]) ).

fof(f426,plain,
    ( ~ aNaturalNumber0(sdtasdt0(xr,xm))
    | spl15_6 ),
    inference(avatar_component_clause,[],[f425]) ).

fof(f427,plain,
    ( aNaturalNumber0(sdtasdt0(xr,xm))
    | ~ spl15_6 ),
    inference(avatar_component_clause,[],[f425]) ).

fof(f943,plain,
    ( ~ aNaturalNumber0(xr)
    | ~ aNaturalNumber0(xm)
    | spl15_6 ),
    inference(resolution,[],[f426,f159]) ).

fof(f944,plain,
    ( ~ aNaturalNumber0(xm)
    | spl15_6 ),
    inference(forward_subsumption_resolution,[],[f943,f255]) ).

fof(f945,plain,
    ( $false
    | spl15_6 ),
    inference(forward_subsumption_resolution,[],[f944,f224]) ).

fof(f946,plain,
    spl15_6,
    inference(avatar_contradiction_clause,[],[f945]) ).

fof(f1217,plain,
    ! [X0] :
      ( doDivides0(xp,X0)
      | ~ doDivides0(xp,sdtpldt0(sdtasdt0(xp,xm),X0))
      | ~ aNaturalNumber0(xp)
      | ~ aNaturalNumber0(sdtasdt0(xp,xm))
      | ~ aNaturalNumber0(X0) ),
    inference(resolution,[],[f210,f264]) ).

fof(f1226,plain,
    ! [X0] :
      ( doDivides0(xp,X0)
      | ~ doDivides0(xp,sdtpldt0(sdtasdt0(xp,xm),X0))
      | ~ aNaturalNumber0(sdtasdt0(xp,xm))
      | ~ aNaturalNumber0(X0) ),
    inference(forward_subsumption_resolution,[],[f1217,f223]) ).

fof(f1231,plain,
    ! [X0] :
      ( ~ doDivides0(xp,sdtpldt0(sdtasdt0(xp,xm),X0))
      | doDivides0(xp,X0)
      | ~ aNaturalNumber0(X0) ),
    inference(forward_subsumption_resolution,[],[f1226,f328]) ).

fof(f4807,plain,
    ( ~ doDivides0(xp,sdtasdt0(xp,sK10))
    | doDivides0(xp,sdtasdt0(xr,xm))
    | ~ aNaturalNumber0(sdtasdt0(xr,xm)) ),
    inference(superposition,[],[f1231,f330]) ).

fof(f4822,plain,
    ( doDivides0(xp,sdtasdt0(xr,xm))
    | ~ aNaturalNumber0(sdtasdt0(xr,xm)) ),
    inference(forward_subsumption_resolution,[],[f4807,f304]) ).

fof(f4830,plain,
    ~ aNaturalNumber0(sdtasdt0(xr,xm)),
    inference(forward_subsumption_resolution,[],[f4822,f269]) ).

fof(f4877,plain,
    ( $false
    | ~ spl15_6 ),
    inference(forward_subsumption_resolution,[],[f4830,f427]) ).

fof(f4878,plain,
    ~ spl15_6,
    inference(avatar_contradiction_clause,[],[f4877]) ).

cnf(s52,plain,
    spl15_6,
    inference(sat_conversion,[],[f946]) ).

cnf(s259,plain,
    ~ spl15_6,
    inference(sat_conversion,[],[f4878]) ).

cnf(s263,plain,
    $false,
    inference(rat,[],[s52,s259]) ).

fof(f4879,plain,
    $false,
    inference(avatar_sat_refutation,[],[s263]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : NUM492+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.39  % Computer : n008.cluster.edu
% 0.13/0.39  % Model    : x86_64 x86_64
% 0.13/0.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39  % Memory   : 8046.5625MB
% 0.13/0.39  % OS       : Linux 6.8.0-71-generic
% 0.13/0.39  % CPULimit : 300
% 0.13/0.39  % WCLimit  : 300
% 0.13/0.39  % DateTime : Sun Sep 27 20:11:25 UTC 2026
% 0.13/0.40  % CPUTime  : 
% 0.13/0.40  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.43  Running first-order theorem proving
% 0.13/0.43  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
% 2.15/1.40  % (1568857)Detected formulas, will run a generic FOF schedule.
% 2.15/1.40  % (1568865)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=4254532454:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.15/1.40  % (1568865)Instruction limit reached! 
% 2.15/1.40  % (1568865)------------------------------
% 2.15/1.40  % (1568865)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.15/1.40  % (1568865)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.15/1.40  % (1568865)CaDiCaL version: 2.1.3
% 2.15/1.40  % (1568865)Termination reason: Instruction limit
% 2.15/1.40  % (1568865)Termination phase: Saturation
% 2.15/1.40  % (1568865)Time elapsed: 0.033 s
% 2.15/1.40  % (1568865)Peak memory usage: 89 MB
% 2.15/1.40  % (1568865)Instructions burned: 112 (million)
% 2.15/1.40  % (1568866)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2533805512:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.15/1.40  % (1568868)dis-21_1_sil=8000:lcm=predicate:random_seed=2121523305: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)
% 2.15/1.40  % (1568862)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=395712397:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.15/1.40  % (1568863)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=3400844195:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.15/1.40  % (1568864)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=873147711:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.15/1.40  % (1568867)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2454213747:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.15/1.40  % (1568866)Instruction limit reached! 
% 2.15/1.40  % (1568866)------------------------------
% 2.15/1.40  % (1568866)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.15/1.40  % (1568866)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.15/1.40  % (1568866)CaDiCaL version: 2.1.3
% 2.15/1.40  % (1568866)Termination reason: Instruction limit
% 2.15/1.40  % (1568866)Termination phase: Saturation
% 2.15/1.40  % (1568866)Time elapsed: 0.069 s
% 2.15/1.40  % (1568866)Peak memory usage: 88 MB
% 2.15/1.40  % (1568866)Instructions burned: 120 (million)
% 2.15/1.40  % (1568868)Instruction limit reached! 
% 2.15/1.40  % (1568868)------------------------------
% 2.15/1.40  % (1568868)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.15/1.40  % (1568868)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.15/1.40  % (1568868)CaDiCaL version: 2.1.3
% 2.15/1.40  % (1568868)Termination reason: Instruction limit
% 2.15/1.40  % (1568868)Termination phase: Saturation
% 2.15/1.40  % (1568868)Time elapsed: 0.079 s
% 2.15/1.40  % (1568868)Peak memory usage: 90 MB
% 2.15/1.40  % (1568868)Instructions burned: 130 (million)
% 2.15/1.40  % (1568867)First to succeed.
% 2.15/1.40  % (1568867)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1568857"
% 2.15/1.40  % (1568870)lrs+10_1_sil=8000:sp=occurrence:random_seed=817712605:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 2.15/1.40  % (1568870)Instruction limit reached! 
% 2.15/1.40  % (1568870)------------------------------
% 2.15/1.40  % (1568870)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.15/1.40  % (1568870)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.15/1.40  % (1568870)CaDiCaL version: 2.1.3
% 2.15/1.40  % (1568870)Termination reason: Instruction limit
% 2.15/1.40  % (1568870)Termination phase: Saturation
% 2.15/1.40  % (1568870)Time elapsed: 0.083 s
% 2.15/1.40  % (1568870)Peak memory usage: 91 MB
% 2.15/1.40  % (1568870)Instructions burned: 288 (million)
% 2.15/1.40  % (1568877)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2041534649:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 2.15/1.40  % (1568878)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2995694934:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 2.15/1.40  % (1568878)Also succeeded, but the first one will report.
% 2.15/1.40  % (1568877)Instruction limit reached! 
% 2.15/1.40  % (1568877)------------------------------
% 0.17/1.60  % (1568877)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/1.60  % (1568877)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/1.60  % (1568877)CaDiCaL version: 2.1.3
% 0.17/1.60  % (1568877)Termination reason: Instruction limit
% 0.17/1.60  % (1568877)Termination phase: Saturation
% 0.17/1.60  % (1568877)Time elapsed: 0.073 s
% 0.17/1.60  % (1568877)Peak memory usage: 92 MB
% 0.17/1.60  % (1568877)Instructions burned: 158 (million)
% 0.17/1.60  % (1568880)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=3285752189:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 0.17/1.60  % (1568867)Refutation found. Thanks to Tanya!
% 0.17/1.60  % SZS status Theorem for theBenchmark
% 0.17/1.60  % SZS output start Proof for theBenchmark
% See solution above
% 0.17/1.60  % (1568867)------------------------------
% 0.17/1.60  % (1568867)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/1.60  % (1568867)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/1.60  % (1568867)CaDiCaL version: 2.1.3
% 0.17/1.60  % (1568867)Termination reason: Refutation
% 0.17/1.60  % (1568867)Time elapsed: 0.092 s
% 0.17/1.60  % (1568867)Peak memory usage: 92 MB
% 0.17/1.60  % (1568867)Instructions burned: 139 (million)
% 0.17/1.60  % (1568867)------------------------------
% 0.17/1.60  % (1568867)------------------------------
% 0.17/1.60  % (1568857)Success in time 0.529 s
% 0.17/1.60  % Vampire exiting
%------------------------------------------------------------------------------