TSTP Solution File: RNG050+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : RNG050+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_uns --cores 0 -t %d %s

% Computer : n010.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 18:14:35 EDT 2022

% Result   : Theorem 1.80s 0.63s
% Output   : Refutation 1.80s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   29 (   9 unt;   0 def)
%            Number of atoms       :   86 (  31 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   95 (  38   ~;  40   |;   7   &)
%                                         (   0 <=>;  10  =>;   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   :   25 (  25   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f299,plain,
    $false,
    inference(unit_resulting_resolution,[],[f141,f141,f297,f297,f187]) ).

fof(f187,plain,
    ! [X0,X1] :
      ( ~ aScalar0(X1)
      | sdtlseqdt0(X0,X1)
      | sdtlseqdt0(X1,X0)
      | ~ aScalar0(X0) ),
    inference(cnf_transformation,[],[f134]) ).

fof(f134,plain,
    ! [X0,X1] :
      ( sdtlseqdt0(X1,X0)
      | ~ aScalar0(X1)
      | sdtlseqdt0(X0,X1)
      | ~ aScalar0(X0) ),
    inference(rectify,[],[f111]) ).

fof(f111,plain,
    ! [X1,X0] :
      ( sdtlseqdt0(X0,X1)
      | ~ aScalar0(X0)
      | sdtlseqdt0(X1,X0)
      | ~ aScalar0(X1) ),
    inference(flattening,[],[f110]) ).

fof(f110,plain,
    ! [X0,X1] :
      ( sdtlseqdt0(X1,X0)
      | sdtlseqdt0(X0,X1)
      | ~ aScalar0(X0)
      | ~ aScalar0(X1) ),
    inference(ennf_transformation,[],[f54]) ).

fof(f54,plain,
    ! [X0,X1] :
      ( ( aScalar0(X0)
        & aScalar0(X1) )
     => ( sdtlseqdt0(X1,X0)
        | sdtlseqdt0(X0,X1) ) ),
    inference(rectify,[],[f25]) ).

fof(f25,axiom,
    ! [X1,X0] :
      ( ( aScalar0(X0)
        & aScalar0(X1) )
     => ( sdtlseqdt0(X1,X0)
        | sdtlseqdt0(X0,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLETot) ).

fof(f297,plain,
    ~ sdtlseqdt0(sz0z00,sz0z00),
    inference(backward_demodulation,[],[f183,f290]) ).

fof(f290,plain,
    sz0z00 = sdtasasdt0(xs,xs),
    inference(subsumption_resolution,[],[f289,f167]) ).

fof(f167,plain,
    aVector0(xs),
    inference(cnf_transformation,[],[f37]) ).

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

fof(f289,plain,
    ( ~ aVector0(xs)
    | sz0z00 = sdtasasdt0(xs,xs) ),
    inference(trivial_inequality_removal,[],[f288]) ).

fof(f288,plain,
    ( ~ aVector0(xs)
    | sz0z00 = sdtasasdt0(xs,xs)
    | sz00 != sz00 ),
    inference(superposition,[],[f212,f196]) ).

fof(f196,plain,
    sz00 = aDimensionOf0(xs),
    inference(subsumption_resolution,[],[f184,f183]) ).

fof(f184,plain,
    ( sz00 = aDimensionOf0(xs)
    | sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs)) ),
    inference(cnf_transformation,[],[f93]) ).

fof(f93,plain,
    ( ( sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs))
      | sz00 = aDimensionOf0(xs) )
    & ~ sdtlseqdt0(sz0z00,sdtasasdt0(xs,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(f212,plain,
    ! [X6] :
      ( sz00 != aDimensionOf0(X6)
      | sz0z00 = sdtasasdt0(X6,xs)
      | ~ aVector0(X6) ),
    inference(subsumption_resolution,[],[f208,f167]) ).

fof(f208,plain,
    ! [X6] :
      ( sz00 != aDimensionOf0(X6)
      | ~ aVector0(xs)
      | sz0z00 = sdtasasdt0(X6,xs)
      | ~ aVector0(X6) ),
    inference(trivial_inequality_removal,[],[f203]) ).

fof(f203,plain,
    ! [X6] :
      ( ~ aVector0(X6)
      | sz00 != sz00
      | sz0z00 = sdtasasdt0(X6,xs)
      | ~ aVector0(xs)
      | sz00 != aDimensionOf0(X6) ),
    inference(superposition,[],[f185,f196]) ).

fof(f185,plain,
    ! [X0,X1] :
      ( aDimensionOf0(X0) != aDimensionOf0(X1)
      | ~ aVector0(X0)
      | ~ aVector0(X1)
      | sz0z00 = sdtasasdt0(X1,X0)
      | sz00 != aDimensionOf0(X0) ),
    inference(cnf_transformation,[],[f106]) ).

fof(f106,plain,
    ! [X0,X1] :
      ( sz00 != aDimensionOf0(X0)
      | sz0z00 = sdtasasdt0(X1,X0)
      | ~ aVector0(X0)
      | aDimensionOf0(X0) != aDimensionOf0(X1)
      | ~ aVector0(X1) ),
    inference(flattening,[],[f105]) ).

fof(f105,plain,
    ! [X1,X0] :
      ( sz0z00 = sdtasasdt0(X1,X0)
      | sz00 != aDimensionOf0(X0)
      | aDimensionOf0(X0) != aDimensionOf0(X1)
      | ~ aVector0(X0)
      | ~ aVector0(X1) ),
    inference(ennf_transformation,[],[f41]) ).

fof(f41,plain,
    ! [X1,X0] :
      ( ( aVector0(X0)
        & aVector0(X1) )
     => ( ( sz00 = aDimensionOf0(X0)
          & aDimensionOf0(X0) = aDimensionOf0(X1) )
       => sz0z00 = sdtasasdt0(X1,X0) ) ),
    inference(rectify,[],[f35]) ).

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

fof(f183,plain,
    ~ sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs)),
    inference(cnf_transformation,[],[f93]) ).

fof(f141,plain,
    aScalar0(sz0z00),
    inference(cnf_transformation,[],[f9]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : RNG050+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.34  % Computer : n010.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Tue Aug 30 11:50:14 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 1.52/0.57  % (1917)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 1.52/0.58  % (1933)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 1.52/0.59  % (1925)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.52/0.59  % (1918)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 1.52/0.59  % (1925)Instruction limit reached!
% 1.52/0.59  % (1925)------------------------------
% 1.52/0.59  % (1925)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.80/0.59  % (1934)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 1.80/0.60  % (1925)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.80/0.60  % (1925)Termination reason: Unknown
% 1.80/0.60  % (1925)Termination phase: Saturation
% 1.80/0.60  
% 1.80/0.60  % (1925)Memory used [KB]: 1535
% 1.80/0.60  % (1925)Time elapsed: 0.005 s
% 1.80/0.60  % (1925)Instructions burned: 3 (million)
% 1.80/0.60  % (1925)------------------------------
% 1.80/0.60  % (1925)------------------------------
% 1.80/0.60  % (1926)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.80/0.61  % (1926)Instruction limit reached!
% 1.80/0.61  % (1926)------------------------------
% 1.80/0.61  % (1926)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.80/0.62  % (1934)First to succeed.
% 1.80/0.62  % (1926)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.80/0.62  % (1926)Termination reason: Unknown
% 1.80/0.62  % (1926)Termination phase: Saturation
% 1.80/0.62  
% 1.80/0.62  % (1926)Memory used [KB]: 6140
% 1.80/0.62  % (1926)Time elapsed: 0.181 s
% 1.80/0.62  % (1926)Instructions burned: 7 (million)
% 1.80/0.62  % (1926)------------------------------
% 1.80/0.62  % (1926)------------------------------
% 1.80/0.62  % (1913)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.80/0.62  % (1911)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 1.80/0.62  % (1914)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.80/0.63  % (1934)Refutation found. Thanks to Tanya!
% 1.80/0.63  % SZS status Theorem for theBenchmark
% 1.80/0.63  % SZS output start Proof for theBenchmark
% See solution above
% 1.80/0.63  % (1934)------------------------------
% 1.80/0.63  % (1934)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.80/0.63  % (1934)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.80/0.63  % (1934)Termination reason: Refutation
% 1.80/0.63  
% 1.80/0.63  % (1934)Memory used [KB]: 1663
% 1.80/0.63  % (1934)Time elapsed: 0.191 s
% 1.80/0.63  % (1934)Instructions burned: 9 (million)
% 1.80/0.63  % (1934)------------------------------
% 1.80/0.63  % (1934)------------------------------
% 1.80/0.63  % (1910)Success in time 0.27 s
%------------------------------------------------------------------------------