TSTP Solution File: RNG050+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : RNG050+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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n005.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 02:39:05 EDT 2024

% Result   : Theorem 0.60s 0.77s
% Output   : Refutation 0.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   24 (   9 unt;   0 def)
%            Number of atoms       :   60 (  22 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   71 (  35   ~;  26   |;   3   &)
%                                         (   0 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   11 (  11   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f133,plain,
    $false,
    inference(subsumption_resolution,[],[f129,f84]) ).

fof(f84,plain,
    aScalar0(sz0z00),
    inference(cnf_transformation,[],[f9]) ).

fof(f9,axiom,
    aScalar0(sz0z00),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSZeroSc) ).

fof(f129,plain,
    ~ aScalar0(sz0z00),
    inference(resolution,[],[f126,f88]) ).

fof(f88,plain,
    ! [X0] :
      ( sdtlseqdt0(X0,X0)
      | ~ aScalar0(X0) ),
    inference(cnf_transformation,[],[f61]) ).

fof(f61,plain,
    ! [X0] :
      ( sdtlseqdt0(X0,X0)
      | ~ aScalar0(X0) ),
    inference(ennf_transformation,[],[f20]) ).

fof(f20,axiom,
    ! [X0] :
      ( aScalar0(X0)
     => sdtlseqdt0(X0,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLERef) ).

fof(f126,plain,
    ~ sdtlseqdt0(sz0z00,sz0z00),
    inference(subsumption_resolution,[],[f125,f76]) ).

fof(f76,plain,
    aVector0(xs),
    inference(cnf_transformation,[],[f37]) ).

fof(f37,axiom,
    aVector0(xs),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1542) ).

fof(f125,plain,
    ( ~ sdtlseqdt0(sz0z00,sz0z00)
    | ~ aVector0(xs) ),
    inference(subsumption_resolution,[],[f109,f99]) ).

fof(f99,plain,
    sz00 = aDimensionOf0(xs),
    inference(subsumption_resolution,[],[f78,f79]) ).

fof(f79,plain,
    ~ sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs)),
    inference(cnf_transformation,[],[f48]) ).

fof(f48,plain,
    ( ~ sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs))
    & ( sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs))
      | sz00 = aDimensionOf0(xs) ) ),
    inference(ennf_transformation,[],[f40]) ).

fof(f40,negated_conjecture,
    ~ ( ( sz00 != aDimensionOf0(xs)
       => sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs)) )
     => sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs)) ),
    inference(negated_conjecture,[],[f39]) ).

fof(f39,conjecture,
    ( ( sz00 != aDimensionOf0(xs)
     => sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs)) )
   => sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).

fof(f78,plain,
    ( sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs))
    | sz00 = aDimensionOf0(xs) ),
    inference(cnf_transformation,[],[f48]) ).

fof(f109,plain,
    ( ~ sdtlseqdt0(sz0z00,sz0z00)
    | sz00 != aDimensionOf0(xs)
    | ~ aVector0(xs) ),
    inference(trivial_inequality_removal,[],[f108]) ).

fof(f108,plain,
    ( ~ sdtlseqdt0(sz0z00,sz0z00)
    | sz00 != aDimensionOf0(xs)
    | aDimensionOf0(xs) != aDimensionOf0(xs)
    | ~ aVector0(xs) ),
    inference(duplicate_literal_removal,[],[f107]) ).

fof(f107,plain,
    ( ~ sdtlseqdt0(sz0z00,sz0z00)
    | sz00 != aDimensionOf0(xs)
    | aDimensionOf0(xs) != aDimensionOf0(xs)
    | ~ aVector0(xs)
    | ~ aVector0(xs) ),
    inference(superposition,[],[f79,f90]) ).

fof(f90,plain,
    ! [X0,X1] :
      ( sz0z00 = sdtasasdt0(X0,X1)
      | sz00 != aDimensionOf0(X1)
      | aDimensionOf0(X0) != aDimensionOf0(X1)
      | ~ aVector0(X1)
      | ~ aVector0(X0) ),
    inference(cnf_transformation,[],[f64]) ).

fof(f64,plain,
    ! [X0,X1] :
      ( sz0z00 = sdtasasdt0(X0,X1)
      | sz00 != aDimensionOf0(X1)
      | aDimensionOf0(X0) != aDimensionOf0(X1)
      | ~ aVector0(X1)
      | ~ aVector0(X0) ),
    inference(flattening,[],[f63]) ).

fof(f63,plain,
    ! [X0,X1] :
      ( sz0z00 = sdtasasdt0(X0,X1)
      | sz00 != aDimensionOf0(X1)
      | aDimensionOf0(X0) != aDimensionOf0(X1)
      | ~ aVector0(X1)
      | ~ aVector0(X0) ),
    inference(ennf_transformation,[],[f35]) ).

fof(f35,axiom,
    ! [X0,X1] :
      ( ( aVector0(X1)
        & aVector0(X0) )
     => ( ( sz00 = aDimensionOf0(X1)
          & aDimensionOf0(X0) = aDimensionOf0(X1) )
       => sz0z00 = sdtasasdt0(X0,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSPZ) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem    : RNG050+1 : TPTP v8.2.0. Released v4.0.0.
% 0.11/0.11  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.11/0.32  % Computer : n005.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit   : 300
% 0.11/0.32  % WCLimit    : 300
% 0.11/0.32  % DateTime   : Sat May 18 13:06:08 EDT 2024
% 0.11/0.32  % CPUTime    : 
% 0.11/0.32  This is a FOF_THM_RFO_SEQ problem
% 0.11/0.32  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.60/0.77  % (23467)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 (2995ds/34Mi)
% 0.60/0.77  % (23469)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2995ds/78Mi)
% 0.60/0.77  % (23470)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2995ds/33Mi)
% 0.60/0.77  % (23472)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2995ds/45Mi)
% 0.60/0.77  % (23472)First to succeed.
% 0.60/0.77  % (23467)Refutation not found, incomplete strategy% (23467)------------------------------
% 0.60/0.77  % (23467)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.77  % (23467)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.77  
% 0.60/0.77  % (23467)Memory used [KB]: 1105
% 0.60/0.77  % (23467)Time elapsed: 0.004 s
% 0.60/0.77  % (23467)Instructions burned: 8 (million)
% 0.60/0.77  % (23467)------------------------------
% 0.60/0.77  % (23467)------------------------------
% 0.60/0.77  % (23472)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-23466"
% 0.60/0.77  % (23474)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 (2995ds/56Mi)
% 0.60/0.77  % (23471)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 (2995ds/34Mi)
% 0.60/0.77  % (23472)Refutation found. Thanks to Tanya!
% 0.60/0.77  % SZS status Theorem for theBenchmark
% 0.60/0.77  % SZS output start Proof for theBenchmark
% See solution above
% 0.60/0.77  % (23472)------------------------------
% 0.60/0.77  % (23472)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.77  % (23472)Termination reason: Refutation
% 0.60/0.77  
% 0.60/0.77  % (23472)Memory used [KB]: 1056
% 0.60/0.77  % (23472)Time elapsed: 0.003 s
% 0.60/0.77  % (23472)Instructions burned: 4 (million)
% 0.60/0.77  % (23466)Success in time 0.438 s
% 0.60/0.77  % Vampire---4.8 exiting
%------------------------------------------------------------------------------