TSTP Solution File: RNG044+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : RNG044+1 : TPTP v8.1.2. 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 : n014.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 : Sun May  5 08:53:48 EDT 2024

% Result   : Theorem 0.60s 0.82s
% Output   : Refutation 0.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   33 (  13 unt;   0 def)
%            Number of atoms       :   81 (  21 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  102 (  54   ~;  37   |;   9   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   4 con; 0-2 aty)
%            Number of variables   :   23 (  23   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f134,plain,
    $false,
    inference(subsumption_resolution,[],[f133,f31]) ).

fof(f31,plain,
    aScalar0(xu),
    inference(cnf_transformation,[],[f16]) ).

fof(f16,axiom,
    ( aScalar0(xv)
    & aScalar0(xu)
    & aScalar0(xy)
    & aScalar0(xx) ),
    file('/export/starexec/sandbox2/tmp/tmp.9U1xpKZpoG/Vampire---4.8_9789',m__674) ).

fof(f133,plain,
    ~ aScalar0(xu),
    inference(subsumption_resolution,[],[f132,f32]) ).

fof(f32,plain,
    aScalar0(xv),
    inference(cnf_transformation,[],[f16]) ).

fof(f132,plain,
    ( ~ aScalar0(xv)
    | ~ aScalar0(xu) ),
    inference(resolution,[],[f109,f40]) ).

fof(f40,plain,
    ! [X0,X1] :
      ( aScalar0(sdtpldt0(X0,X1))
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(cnf_transformation,[],[f26]) ).

fof(f26,plain,
    ! [X0,X1] :
      ( aScalar0(sdtpldt0(X0,X1))
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(flattening,[],[f25]) ).

fof(f25,plain,
    ! [X0,X1] :
      ( aScalar0(sdtpldt0(X0,X1))
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(ennf_transformation,[],[f10]) ).

fof(f10,axiom,
    ! [X0,X1] :
      ( ( aScalar0(X1)
        & aScalar0(X0) )
     => aScalar0(sdtpldt0(X0,X1)) ),
    file('/export/starexec/sandbox2/tmp/tmp.9U1xpKZpoG/Vampire---4.8_9789',mSumSc) ).

fof(f109,plain,
    ~ aScalar0(sdtpldt0(xu,xv)),
    inference(subsumption_resolution,[],[f108,f29]) ).

fof(f29,plain,
    aScalar0(xx),
    inference(cnf_transformation,[],[f16]) ).

fof(f108,plain,
    ( ~ aScalar0(sdtpldt0(xu,xv))
    | ~ aScalar0(xx) ),
    inference(subsumption_resolution,[],[f107,f30]) ).

fof(f30,plain,
    aScalar0(xy),
    inference(cnf_transformation,[],[f16]) ).

fof(f107,plain,
    ( ~ aScalar0(sdtpldt0(xu,xv))
    | ~ aScalar0(xy)
    | ~ aScalar0(xx) ),
    inference(trivial_inequality_removal,[],[f106]) ).

fof(f106,plain,
    ( sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)) != sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))
    | ~ aScalar0(sdtpldt0(xu,xv))
    | ~ aScalar0(xy)
    | ~ aScalar0(xx) ),
    inference(superposition,[],[f105,f35]) ).

fof(f35,plain,
    ! [X2,X0,X1] :
      ( sdtasdt0(sdtpldt0(X0,X1),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X1,X2))
      | ~ aScalar0(X2)
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(cnf_transformation,[],[f22]) ).

fof(f22,plain,
    ! [X0,X1,X2] :
      ( ( sdtasdt0(sdtpldt0(X0,X1),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X1,X2))
        & sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) )
      | ~ aScalar0(X2)
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(flattening,[],[f21]) ).

fof(f21,plain,
    ! [X0,X1,X2] :
      ( ( sdtasdt0(sdtpldt0(X0,X1),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X1,X2))
        & sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) )
      | ~ aScalar0(X2)
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(ennf_transformation,[],[f15]) ).

fof(f15,axiom,
    ! [X0,X1,X2] :
      ( ( aScalar0(X2)
        & aScalar0(X1)
        & aScalar0(X0) )
     => ( sdtasdt0(sdtpldt0(X0,X1),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X1,X2))
        & sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.9U1xpKZpoG/Vampire---4.8_9789',mDistr) ).

fof(f105,plain,
    sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)) != sdtpldt0(sdtasdt0(xx,sdtpldt0(xu,xv)),sdtasdt0(xy,sdtpldt0(xu,xv))),
    inference(subsumption_resolution,[],[f104,f30]) ).

fof(f104,plain,
    ( sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)) != sdtpldt0(sdtasdt0(xx,sdtpldt0(xu,xv)),sdtasdt0(xy,sdtpldt0(xu,xv)))
    | ~ aScalar0(xy) ),
    inference(subsumption_resolution,[],[f103,f31]) ).

fof(f103,plain,
    ( sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)) != sdtpldt0(sdtasdt0(xx,sdtpldt0(xu,xv)),sdtasdt0(xy,sdtpldt0(xu,xv)))
    | ~ aScalar0(xu)
    | ~ aScalar0(xy) ),
    inference(subsumption_resolution,[],[f102,f32]) ).

fof(f102,plain,
    ( sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)) != sdtpldt0(sdtasdt0(xx,sdtpldt0(xu,xv)),sdtasdt0(xy,sdtpldt0(xu,xv)))
    | ~ aScalar0(xv)
    | ~ aScalar0(xu)
    | ~ aScalar0(xy) ),
    inference(superposition,[],[f47,f34]) ).

fof(f34,plain,
    ! [X2,X0,X1] :
      ( sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
      | ~ aScalar0(X2)
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(cnf_transformation,[],[f22]) ).

fof(f47,plain,
    sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)) != sdtpldt0(sdtasdt0(xx,sdtpldt0(xu,xv)),sdtpldt0(sdtasdt0(xy,xu),sdtasdt0(xy,xv))),
    inference(subsumption_resolution,[],[f46,f29]) ).

fof(f46,plain,
    ( sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)) != sdtpldt0(sdtasdt0(xx,sdtpldt0(xu,xv)),sdtpldt0(sdtasdt0(xy,xu),sdtasdt0(xy,xv)))
    | ~ aScalar0(xx) ),
    inference(subsumption_resolution,[],[f45,f31]) ).

fof(f45,plain,
    ( sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)) != sdtpldt0(sdtasdt0(xx,sdtpldt0(xu,xv)),sdtpldt0(sdtasdt0(xy,xu),sdtasdt0(xy,xv)))
    | ~ aScalar0(xu)
    | ~ aScalar0(xx) ),
    inference(subsumption_resolution,[],[f42,f32]) ).

fof(f42,plain,
    ( sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)) != sdtpldt0(sdtasdt0(xx,sdtpldt0(xu,xv)),sdtpldt0(sdtasdt0(xy,xu),sdtasdt0(xy,xv)))
    | ~ aScalar0(xv)
    | ~ aScalar0(xu)
    | ~ aScalar0(xx) ),
    inference(superposition,[],[f33,f34]) ).

fof(f33,plain,
    sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)) != sdtpldt0(sdtpldt0(sdtasdt0(xx,xu),sdtasdt0(xx,xv)),sdtpldt0(sdtasdt0(xy,xu),sdtasdt0(xy,xv))),
    inference(cnf_transformation,[],[f19]) ).

fof(f19,plain,
    sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)) != sdtpldt0(sdtpldt0(sdtasdt0(xx,xu),sdtasdt0(xx,xv)),sdtpldt0(sdtasdt0(xy,xu),sdtasdt0(xy,xv))),
    inference(flattening,[],[f18]) ).

fof(f18,negated_conjecture,
    sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)) != sdtpldt0(sdtpldt0(sdtasdt0(xx,xu),sdtasdt0(xx,xv)),sdtpldt0(sdtasdt0(xy,xu),sdtasdt0(xy,xv))),
    inference(negated_conjecture,[],[f17]) ).

fof(f17,conjecture,
    sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)) = sdtpldt0(sdtpldt0(sdtasdt0(xx,xu),sdtasdt0(xx,xv)),sdtpldt0(sdtasdt0(xy,xu),sdtasdt0(xy,xv))),
    file('/export/starexec/sandbox2/tmp/tmp.9U1xpKZpoG/Vampire---4.8_9789',m__) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : RNG044+1 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.13  % 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
% 0.11/0.34  % Computer : n014.cluster.edu
% 0.11/0.34  % Model    : x86_64 x86_64
% 0.11/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.34  % Memory   : 8042.1875MB
% 0.11/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.34  % CPULimit   : 300
% 0.11/0.34  % WCLimit    : 300
% 0.11/0.34  % DateTime   : Fri May  3 18:17:08 EDT 2024
% 0.11/0.34  % CPUTime    : 
% 0.11/0.34  This is a FOF_THM_RFO_SEQ problem
% 0.11/0.34  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/tmp/tmp.9U1xpKZpoG/Vampire---4.8_9789
% 0.60/0.81  % (9897)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 Vampire---4 for (2995ds/34Mi)
% 0.60/0.81  % (9899)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.60/0.81  % (9900)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.60/0.81  % (9901)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 Vampire---4 for (2995ds/34Mi)
% 0.60/0.81  % (9902)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.60/0.81  % (9898)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 Vampire---4 for (2995ds/51Mi)
% 0.60/0.81  % (9903)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 Vampire---4 for (2995ds/83Mi)
% 0.60/0.81  % (9904)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2995ds/56Mi)
% 0.60/0.81  % (9901)Refutation not found, incomplete strategy% (9901)------------------------------
% 0.60/0.81  % (9901)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.81  % (9901)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.81  
% 0.60/0.81  % (9901)Memory used [KB]: 1048
% 0.60/0.81  % (9901)Time elapsed: 0.003 s
% 0.60/0.81  % (9901)Instructions burned: 4 (million)
% 0.60/0.81  % (9904)Refutation not found, incomplete strategy% (9904)------------------------------
% 0.60/0.81  % (9904)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.81  % (9904)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.81  
% 0.60/0.81  % (9904)Memory used [KB]: 956
% 0.60/0.81  % (9904)Time elapsed: 0.002 s
% 0.60/0.81  % (9904)Instructions burned: 2 (million)
% 0.60/0.81  % (9901)------------------------------
% 0.60/0.81  % (9901)------------------------------
% 0.60/0.81  % (9904)------------------------------
% 0.60/0.81  % (9904)------------------------------
% 0.60/0.81  % (9902)First to succeed.
% 0.60/0.81  % (9902)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-9896"
% 0.60/0.82  % (9902)Refutation found. Thanks to Tanya!
% 0.60/0.82  % SZS status Theorem for Vampire---4
% 0.60/0.82  % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.82  % (9902)------------------------------
% 0.60/0.82  % (9902)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.82  % (9902)Termination reason: Refutation
% 0.60/0.82  
% 0.60/0.82  % (9902)Memory used [KB]: 1072
% 0.60/0.82  % (9902)Time elapsed: 0.006 s
% 0.60/0.82  % (9902)Instructions burned: 6 (million)
% 0.60/0.82  % (9896)Success in time 0.469 s
% 0.60/0.82  % Vampire---4.8 exiting
%------------------------------------------------------------------------------