TSTP Solution File: RNG124+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : RNG124+1 : TPTP v8.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n023.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 : Tue May 21 02:39:43 EDT 2024

% Result   : Theorem 0.78s 0.93s
% Output   : Refutation 0.78s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   25 (   7 unt;   0 def)
%            Number of atoms       :   60 (  13 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   60 (  25   ~;  21   |;  10   &)
%                                         (   3 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   3 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   6 con; 0-2 aty)
%            Number of variables   :    7 (   7   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f473,plain,
    $false,
    inference(avatar_sat_refutation,[],[f321,f322,f463]) ).

fof(f463,plain,
    ( spl23_5
    | ~ spl23_6 ),
    inference(avatar_contradiction_clause,[],[f462]) ).

fof(f462,plain,
    ( $false
    | spl23_5
    | ~ spl23_6 ),
    inference(subsumption_resolution,[],[f461,f177]) ).

fof(f177,plain,
    aElementOf0(xr,xI),
    inference(cnf_transformation,[],[f55]) ).

fof(f55,axiom,
    aElementOf0(xr,xI),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2729) ).

fof(f461,plain,
    ( ~ aElementOf0(xr,xI)
    | spl23_5
    | ~ spl23_6 ),
    inference(subsumption_resolution,[],[f449,f320]) ).

fof(f320,plain,
    ( iLess0(sbrdtbr0(xr),sbrdtbr0(xu))
    | ~ spl23_6 ),
    inference(avatar_component_clause,[],[f318]) ).

fof(f318,plain,
    ( spl23_6
  <=> iLess0(sbrdtbr0(xr),sbrdtbr0(xu)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl23_6])]) ).

fof(f449,plain,
    ( ~ iLess0(sbrdtbr0(xr),sbrdtbr0(xu))
    | ~ aElementOf0(xr,xI)
    | spl23_5 ),
    inference(resolution,[],[f257,f315]) ).

fof(f315,plain,
    ( ~ sQ22_eqProxy(sz00,xr)
    | spl23_5 ),
    inference(avatar_component_clause,[],[f314]) ).

fof(f314,plain,
    ( spl23_5
  <=> sQ22_eqProxy(sz00,xr) ),
    introduced(avatar_definition,[new_symbols(naming,[spl23_5])]) ).

fof(f257,plain,
    ! [X0] :
      ( sQ22_eqProxy(sz00,X0)
      | ~ iLess0(sbrdtbr0(X0),sbrdtbr0(xu))
      | ~ aElementOf0(X0,xI) ),
    inference(equality_proxy_replacement,[],[f162,f253]) ).

fof(f253,plain,
    ! [X0,X1] :
      ( sQ22_eqProxy(X0,X1)
    <=> X0 = X1 ),
    introduced(equality_proxy_definition,[new_symbols(naming,[sQ22_eqProxy])]) ).

fof(f162,plain,
    ! [X0] :
      ( ~ iLess0(sbrdtbr0(X0),sbrdtbr0(xu))
      | sz00 = X0
      | ~ aElementOf0(X0,xI) ),
    inference(cnf_transformation,[],[f64]) ).

fof(f64,plain,
    ( ! [X0] :
        ( ~ iLess0(sbrdtbr0(X0),sbrdtbr0(xu))
        | sz00 = X0
        | ~ aElementOf0(X0,xI) )
    & sz00 != xu
    & aElementOf0(xu,xI) ),
    inference(flattening,[],[f63]) ).

fof(f63,plain,
    ( ! [X0] :
        ( ~ iLess0(sbrdtbr0(X0),sbrdtbr0(xu))
        | sz00 = X0
        | ~ aElementOf0(X0,xI) )
    & sz00 != xu
    & aElementOf0(xu,xI) ),
    inference(ennf_transformation,[],[f45]) ).

fof(f45,axiom,
    ( ! [X0] :
        ( ( sz00 != X0
          & aElementOf0(X0,xI) )
       => ~ iLess0(sbrdtbr0(X0),sbrdtbr0(xu)) )
    & sz00 != xu
    & aElementOf0(xu,xI) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2273) ).

fof(f322,plain,
    ~ spl23_5,
    inference(avatar_split_clause,[],[f262,f314]) ).

fof(f262,plain,
    ~ sQ22_eqProxy(sz00,xr),
    inference(equality_proxy_replacement,[],[f173,f253]) ).

fof(f173,plain,
    sz00 != xr,
    inference(cnf_transformation,[],[f51]) ).

fof(f51,axiom,
    sz00 != xr,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2673) ).

fof(f321,plain,
    ( spl23_5
    | spl23_6 ),
    inference(avatar_split_clause,[],[f260,f318,f314]) ).

fof(f260,plain,
    ( iLess0(sbrdtbr0(xr),sbrdtbr0(xu))
    | sQ22_eqProxy(sz00,xr) ),
    inference(equality_proxy_replacement,[],[f172,f253]) ).

fof(f172,plain,
    ( iLess0(sbrdtbr0(xr),sbrdtbr0(xu))
    | sz00 = xr ),
    inference(cnf_transformation,[],[f50]) ).

fof(f50,axiom,
    ( ( iLess0(sbrdtbr0(xr),sbrdtbr0(xu))
      | sz00 = xr )
    & xb = sdtpldt0(sdtasdt0(xq,xu),xr)
    & aElement0(xr)
    & aElement0(xq) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2666) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : RNG124+1 : TPTP v8.2.0. Released v4.0.0.
% 0.12/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.35  % Computer : n023.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Sat May 18 12:24:38 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  This is a FOF_CAX_RFO_SEQ problem
% 0.14/0.36  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.74/0.93  % (32188)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2994ds/78Mi)
% 0.74/0.93  % (32190)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on theBenchmark for (2994ds/34Mi)
% 0.74/0.93  % (32186)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on theBenchmark for (2994ds/34Mi)
% 0.74/0.93  % (32189)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2994ds/33Mi)
% 0.74/0.93  % (32191)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2994ds/45Mi)
% 0.74/0.93  % (32187)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on theBenchmark for (2994ds/51Mi)
% 0.74/0.93  % (32192)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on theBenchmark for (2994ds/83Mi)
% 0.74/0.93  % (32193)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2994ds/56Mi)
% 0.78/0.93  % (32193)First to succeed.
% 0.78/0.93  % (32186)Also succeeded, but the first one will report.
% 0.78/0.93  % (32193)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-32185"
% 0.78/0.93  % (32193)Refutation found. Thanks to Tanya!
% 0.78/0.93  % SZS status Theorem for theBenchmark
% 0.78/0.93  % SZS output start Proof for theBenchmark
% See solution above
% 0.78/0.93  % (32193)------------------------------
% 0.78/0.93  % (32193)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.78/0.93  % (32193)Termination reason: Refutation
% 0.78/0.93  
% 0.78/0.93  % (32193)Memory used [KB]: 1189
% 0.78/0.93  % (32193)Time elapsed: 0.007 s
% 0.78/0.93  % (32193)Instructions burned: 9 (million)
% 0.78/0.93  % (32185)Success in time 0.572 s
% 0.78/0.94  % Vampire---4.8 exiting
%------------------------------------------------------------------------------