TSTP Solution File: SWC102+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWC102+1 : TPTP v8.2.0. Released v2.4.0.
% 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 : n015.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 04:36:14 EDT 2024

% Result   : Theorem 0.60s 0.77s
% Output   : Refutation 0.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   20 (  11 unt;   0 def)
%            Number of atoms       :   61 (  16 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :   61 (  20   ~;  14   |;  18   &)
%                                         (   0 <=>;   9  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :   19 (  11   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f266,plain,
    $false,
    inference(subsumption_resolution,[],[f209,f197]) ).

fof(f197,plain,
    ~ frontsegP(sK3,sK3),
    inference(subsumption_resolution,[],[f185,f184]) ).

fof(f184,plain,
    neq(sK3,nil),
    inference(definition_unfolding,[],[f136,f133]) ).

fof(f133,plain,
    sK1 = sK3,
    inference(cnf_transformation,[],[f99]) ).

fof(f99,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ( ~ frontsegP(X1,X0)
                    | ~ neq(X0,nil) )
                  & neq(X1,nil)
                  & X2 = X3
                  & X0 = X2
                  & X1 = X3
                  & ssList(X3) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(X0) ),
    inference(flattening,[],[f98]) ).

fof(f98,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ( ~ frontsegP(X1,X0)
                    | ~ neq(X0,nil) )
                  & neq(X1,nil)
                  & X2 = X3
                  & X0 = X2
                  & X1 = X3
                  & ssList(X3) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(X0) ),
    inference(ennf_transformation,[],[f97]) ).

fof(f97,negated_conjecture,
    ~ ! [X0] :
        ( ssList(X0)
       => ! [X1] :
            ( ssList(X1)
           => ! [X2] :
                ( ssList(X2)
               => ! [X3] :
                    ( ssList(X3)
                   => ( ( frontsegP(X1,X0)
                        & neq(X0,nil) )
                      | ~ neq(X1,nil)
                      | X2 != X3
                      | X0 != X2
                      | X1 != X3 ) ) ) ) ),
    inference(negated_conjecture,[],[f96]) ).

fof(f96,conjecture,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ! [X2] :
              ( ssList(X2)
             => ! [X3] :
                  ( ssList(X3)
                 => ( ( frontsegP(X1,X0)
                      & neq(X0,nil) )
                    | ~ neq(X1,nil)
                    | X2 != X3
                    | X0 != X2
                    | X1 != X3 ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

fof(f136,plain,
    neq(sK1,nil),
    inference(cnf_transformation,[],[f99]) ).

fof(f185,plain,
    ( ~ neq(sK3,nil)
    | ~ frontsegP(sK3,sK3) ),
    inference(definition_unfolding,[],[f131,f180,f133,f180]) ).

fof(f180,plain,
    sK0 = sK3,
    inference(definition_unfolding,[],[f134,f135]) ).

fof(f135,plain,
    sK2 = sK3,
    inference(cnf_transformation,[],[f99]) ).

fof(f134,plain,
    sK0 = sK2,
    inference(cnf_transformation,[],[f99]) ).

fof(f131,plain,
    ( ~ neq(sK0,nil)
    | ~ frontsegP(sK1,sK0) ),
    inference(cnf_transformation,[],[f99]) ).

fof(f209,plain,
    frontsegP(sK3,sK3),
    inference(unit_resulting_resolution,[],[f181,f159]) ).

fof(f159,plain,
    ! [X0] :
      ( frontsegP(X0,X0)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f110]) ).

fof(f110,plain,
    ! [X0] :
      ( frontsegP(X0,X0)
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f42]) ).

fof(f42,axiom,
    ! [X0] :
      ( ssList(X0)
     => frontsegP(X0,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax42) ).

fof(f181,plain,
    ssList(sK3),
    inference(definition_unfolding,[],[f139,f180]) ).

fof(f139,plain,
    ssList(sK0),
    inference(cnf_transformation,[],[f99]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14  % Problem    : SWC102+1 : TPTP v8.2.0. Released v2.4.0.
% 0.14/0.16  % 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
% 0.15/0.37  % Computer : n015.cluster.edu
% 0.15/0.37  % Model    : x86_64 x86_64
% 0.15/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37  % Memory   : 8042.1875MB
% 0.15/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37  % CPULimit   : 300
% 0.15/0.37  % WCLimit    : 300
% 0.15/0.37  % DateTime   : Sun May 19 03:16:08 EDT 2024
% 0.15/0.37  % CPUTime    : 
% 0.15/0.37  This is a FOF_THM_RFO_SEQ problem
% 0.15/0.38  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
% 0.60/0.76  % (30181)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)
% 0.60/0.77  % (30175)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)
% 0.60/0.77  % (30176)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)
% 0.60/0.77  % (30177)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.60/0.77  % (30178)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)
% 0.60/0.77  % (30179)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 (2996ds/34Mi)
% 0.60/0.77  % (30180)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)
% 0.60/0.77  % (30181)First to succeed.
% 0.60/0.77  % (30181)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-30174"
% 0.60/0.77  % (30178)Also succeeded, but the first one will report.
% 0.60/0.77  % (30175)Also succeeded, but the first one will report.
% 0.60/0.77  % (30181)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  % (30181)------------------------------
% 0.60/0.77  % (30181)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.77  % (30181)Termination reason: Refutation
% 0.60/0.77  
% 0.60/0.77  % (30181)Memory used [KB]: 1167
% 0.60/0.77  % (30181)Time elapsed: 0.004 s
% 0.60/0.77  % (30181)Instructions burned: 9 (million)
% 0.60/0.77  % (30174)Success in time 0.383 s
% 0.60/0.77  % Vampire---4.8 exiting
%------------------------------------------------------------------------------