TSTP Solution File: LAT381+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : LAT381+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 : n009.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 : Mon May 20 23:36:41 EDT 2024

% Result   : Theorem 0.55s 0.73s
% Output   : Refutation 0.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   33 (  20 unt;   0 def)
%            Number of atoms       :   78 (   8 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :   79 (  34   ~;  29   |;   7   &)
%                                         (   2 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    9 (   7 usr;   1 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   32 (  32   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f121,plain,
    $false,
    inference(subsumption_resolution,[],[f119,f83]) ).

fof(f83,plain,
    aUpperBoundOfIn0(xv,xS,xT),
    inference(unit_resulting_resolution,[],[f33,f34,f36,f47]) ).

fof(f47,plain,
    ! [X2,X0,X1] :
      ( ~ aSupremumOfIn0(X2,X1,X0)
      | ~ aSubsetOf0(X1,X0)
      | aUpperBoundOfIn0(X2,X1,X0)
      | ~ aSet0(X0) ),
    inference(cnf_transformation,[],[f23]) ).

fof(f23,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( aSupremumOfIn0(X2,X1,X0)
            <=> ( ! [X3] :
                    ( sdtlseqdt0(X2,X3)
                    | ~ aUpperBoundOfIn0(X3,X1,X0) )
                & aUpperBoundOfIn0(X2,X1,X0)
                & aElementOf0(X2,X0) ) )
          | ~ aSubsetOf0(X1,X0) )
      | ~ aSet0(X0) ),
    inference(ennf_transformation,[],[f13]) ).

fof(f13,axiom,
    ! [X0] :
      ( aSet0(X0)
     => ! [X1] :
          ( aSubsetOf0(X1,X0)
         => ! [X2] :
              ( aSupremumOfIn0(X2,X1,X0)
            <=> ( ! [X3] :
                    ( aUpperBoundOfIn0(X3,X1,X0)
                   => sdtlseqdt0(X2,X3) )
                & aUpperBoundOfIn0(X2,X1,X0)
                & aElementOf0(X2,X0) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSup) ).

fof(f36,plain,
    aSupremumOfIn0(xv,xS,xT),
    inference(cnf_transformation,[],[f16]) ).

fof(f16,axiom,
    ( aSupremumOfIn0(xv,xS,xT)
    & aSupremumOfIn0(xu,xS,xT) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__744) ).

fof(f34,plain,
    aSubsetOf0(xS,xT),
    inference(cnf_transformation,[],[f15]) ).

fof(f15,axiom,
    aSubsetOf0(xS,xT),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__725_01) ).

fof(f33,plain,
    aSet0(xT),
    inference(cnf_transformation,[],[f14]) ).

fof(f14,axiom,
    aSet0(xT),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__725) ).

fof(f119,plain,
    ~ aUpperBoundOfIn0(xv,xS,xT),
    inference(unit_resulting_resolution,[],[f33,f34,f35,f112,f45]) ).

fof(f45,plain,
    ! [X2,X3,X0,X1] :
      ( ~ aSupremumOfIn0(X2,X1,X0)
      | ~ aSubsetOf0(X1,X0)
      | ~ aUpperBoundOfIn0(X3,X1,X0)
      | sdtlseqdt0(X2,X3)
      | ~ aSet0(X0) ),
    inference(cnf_transformation,[],[f23]) ).

fof(f112,plain,
    ~ sdtlseqdt0(xu,xv),
    inference(unit_resulting_resolution,[],[f89,f68,f37,f105,f48]) ).

fof(f48,plain,
    ! [X0,X1] :
      ( ~ sdtlseqdt0(X1,X0)
      | ~ aElement0(X1)
      | ~ sdtlseqdt0(X0,X1)
      | ~ aElement0(X0)
      | X0 = X1 ),
    inference(cnf_transformation,[],[f25]) ).

fof(f25,plain,
    ! [X0,X1] :
      ( X0 = X1
      | ~ sdtlseqdt0(X1,X0)
      | ~ sdtlseqdt0(X0,X1)
      | ~ aElement0(X1)
      | ~ aElement0(X0) ),
    inference(flattening,[],[f24]) ).

fof(f24,plain,
    ! [X0,X1] :
      ( X0 = X1
      | ~ sdtlseqdt0(X1,X0)
      | ~ sdtlseqdt0(X0,X1)
      | ~ aElement0(X1)
      | ~ aElement0(X0) ),
    inference(ennf_transformation,[],[f8]) ).

fof(f8,axiom,
    ! [X0,X1] :
      ( ( aElement0(X1)
        & aElement0(X0) )
     => ( ( sdtlseqdt0(X1,X0)
          & sdtlseqdt0(X0,X1) )
       => X0 = X1 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mASymm) ).

fof(f105,plain,
    sdtlseqdt0(xv,xu),
    inference(unit_resulting_resolution,[],[f33,f36,f34,f62,f45]) ).

fof(f62,plain,
    aUpperBoundOfIn0(xu,xS,xT),
    inference(unit_resulting_resolution,[],[f33,f34,f35,f47]) ).

fof(f37,plain,
    xu != xv,
    inference(cnf_transformation,[],[f19]) ).

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

fof(f18,negated_conjecture,
    xu != xv,
    inference(negated_conjecture,[],[f17]) ).

fof(f17,conjecture,
    xu = xv,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

fof(f68,plain,
    aElement0(xu),
    inference(unit_resulting_resolution,[],[f33,f61,f42]) ).

fof(f42,plain,
    ! [X0,X1] :
      ( ~ aElementOf0(X1,X0)
      | ~ aSet0(X0)
      | aElement0(X1) ),
    inference(cnf_transformation,[],[f21]) ).

fof(f21,plain,
    ! [X0] :
      ( ! [X1] :
          ( aElement0(X1)
          | ~ aElementOf0(X1,X0) )
      | ~ aSet0(X0) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f3,axiom,
    ! [X0] :
      ( aSet0(X0)
     => ! [X1] :
          ( aElementOf0(X1,X0)
         => aElement0(X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mEOfElem) ).

fof(f61,plain,
    aElementOf0(xu,xT),
    inference(unit_resulting_resolution,[],[f33,f34,f35,f46]) ).

fof(f46,plain,
    ! [X2,X0,X1] :
      ( ~ aSupremumOfIn0(X2,X1,X0)
      | ~ aSubsetOf0(X1,X0)
      | aElementOf0(X2,X0)
      | ~ aSet0(X0) ),
    inference(cnf_transformation,[],[f23]) ).

fof(f89,plain,
    aElement0(xv),
    inference(unit_resulting_resolution,[],[f33,f82,f42]) ).

fof(f82,plain,
    aElementOf0(xv,xT),
    inference(unit_resulting_resolution,[],[f33,f34,f36,f46]) ).

fof(f35,plain,
    aSupremumOfIn0(xu,xS,xT),
    inference(cnf_transformation,[],[f16]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : LAT381+1 : TPTP v8.2.0. Released v4.0.0.
% 0.12/0.13  % 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
% 0.14/0.34  % Computer : n009.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Sun May 19 20:28:22 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  This is a FOF_THM_RFO_SEQ problem
% 0.14/0.35  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
% 0.55/0.72  % (15372)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 (2996ds/83Mi)
% 0.55/0.73  % (15366)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 (2996ds/34Mi)
% 0.55/0.73  % (15369)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2996ds/33Mi)
% 0.55/0.73  % (15368)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.55/0.73  % (15371)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2996ds/45Mi)
% 0.55/0.73  % (15373)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 (2996ds/56Mi)
% 0.55/0.73  % (15372)First to succeed.
% 0.55/0.73  % (15372)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-15365"
% 0.55/0.73  % (15369)Refutation not found, incomplete strategy% (15369)------------------------------
% 0.55/0.73  % (15369)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.73  % (15369)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.73  
% 0.55/0.73  % (15369)Memory used [KB]: 1040
% 0.55/0.73  % (15369)Time elapsed: 0.003 s
% 0.55/0.73  % (15369)Instructions burned: 3 (million)
% 0.55/0.73  % (15367)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 (2996ds/51Mi)
% 0.55/0.73  % (15369)------------------------------
% 0.55/0.73  % (15369)------------------------------
% 0.55/0.73  % (15371)Also succeeded, but the first one will report.
% 0.55/0.73  % (15373)Also succeeded, but the first one will report.
% 0.55/0.73  % (15372)Refutation found. Thanks to Tanya!
% 0.55/0.73  % SZS status Theorem for theBenchmark
% 0.55/0.73  % SZS output start Proof for theBenchmark
% See solution above
% 0.55/0.73  % (15372)------------------------------
% 0.55/0.73  % (15372)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.73  % (15372)Termination reason: Refutation
% 0.55/0.73  
% 0.55/0.73  % (15372)Memory used [KB]: 1055
% 0.55/0.73  % (15372)Time elapsed: 0.004 s
% 0.55/0.73  % (15372)Instructions burned: 6 (million)
% 0.55/0.73  % (15365)Success in time 0.372 s
% 0.55/0.73  % Vampire---4.8 exiting
%------------------------------------------------------------------------------