TSTP Solution File: SWC051+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWC051+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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n007.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 04:35:50 EDT 2024

% Result   : Theorem 0.63s 0.80s
% Output   : Refutation 0.63s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   36 (   7 unt;   0 def)
%            Number of atoms       :  254 (  54 equ)
%            Maximal formula atoms :   32 (   7 avg)
%            Number of connectives :  331 ( 113   ~;  94   |; 108   &)
%                                         (   3 <=>;  13  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   6 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   4 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :   50 (  24   !;  26   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f292,plain,
    $false,
    inference(avatar_sat_refutation,[],[f220,f225,f235,f290]) ).

fof(f290,plain,
    ( ~ spl8_2
    | ~ spl8_3 ),
    inference(avatar_contradiction_clause,[],[f289]) ).

fof(f289,plain,
    ( $false
    | ~ spl8_2
    | ~ spl8_3 ),
    inference(subsumption_resolution,[],[f286,f142]) ).

fof(f142,plain,
    ssList(sK2),
    inference(cnf_transformation,[],[f127]) ).

fof(f127,plain,
    ( ( ( rearsegP(sK3,sK2)
        & neq(sK2,nil) )
      | ~ neq(sK3,nil) )
    & ( nil != sK3
      | nil = sK2 )
    & ! [X4] :
        ( ~ rearsegP(sK0,X4)
        | ~ rearsegP(sK1,X4)
        | ~ neq(X4,nil)
        | ~ ssList(X4) )
    & neq(sK1,nil)
    & sK0 = sK2
    & sK1 = sK3
    & ssList(sK3)
    & ssList(sK2)
    & ssList(sK1)
    & ssList(sK0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f99,f126,f125,f124,f123]) ).

fof(f123,plain,
    ( ? [X0] :
        ( ? [X1] :
            ( ? [X2] :
                ( ? [X3] :
                    ( ( ( rearsegP(X3,X2)
                        & neq(X2,nil) )
                      | ~ neq(X3,nil) )
                    & ( nil != X3
                      | nil = X2 )
                    & ! [X4] :
                        ( ~ rearsegP(X0,X4)
                        | ~ rearsegP(X1,X4)
                        | ~ neq(X4,nil)
                        | ~ ssList(X4) )
                    & neq(X1,nil)
                    & X0 = X2
                    & X1 = X3
                    & ssList(X3) )
                & ssList(X2) )
            & ssList(X1) )
        & ssList(X0) )
   => ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ( ( rearsegP(X3,X2)
                      & neq(X2,nil) )
                    | ~ neq(X3,nil) )
                  & ( nil != X3
                    | nil = X2 )
                  & ! [X4] :
                      ( ~ rearsegP(sK0,X4)
                      | ~ rearsegP(X1,X4)
                      | ~ neq(X4,nil)
                      | ~ ssList(X4) )
                  & neq(X1,nil)
                  & sK0 = X2
                  & X1 = X3
                  & ssList(X3) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(sK0) ) ),
    introduced(choice_axiom,[]) ).

fof(f124,plain,
    ( ? [X1] :
        ( ? [X2] :
            ( ? [X3] :
                ( ( ( rearsegP(X3,X2)
                    & neq(X2,nil) )
                  | ~ neq(X3,nil) )
                & ( nil != X3
                  | nil = X2 )
                & ! [X4] :
                    ( ~ rearsegP(sK0,X4)
                    | ~ rearsegP(X1,X4)
                    | ~ neq(X4,nil)
                    | ~ ssList(X4) )
                & neq(X1,nil)
                & sK0 = X2
                & X1 = X3
                & ssList(X3) )
            & ssList(X2) )
        & ssList(X1) )
   => ( ? [X2] :
          ( ? [X3] :
              ( ( ( rearsegP(X3,X2)
                  & neq(X2,nil) )
                | ~ neq(X3,nil) )
              & ( nil != X3
                | nil = X2 )
              & ! [X4] :
                  ( ~ rearsegP(sK0,X4)
                  | ~ rearsegP(sK1,X4)
                  | ~ neq(X4,nil)
                  | ~ ssList(X4) )
              & neq(sK1,nil)
              & sK0 = X2
              & sK1 = X3
              & ssList(X3) )
          & ssList(X2) )
      & ssList(sK1) ) ),
    introduced(choice_axiom,[]) ).

fof(f125,plain,
    ( ? [X2] :
        ( ? [X3] :
            ( ( ( rearsegP(X3,X2)
                & neq(X2,nil) )
              | ~ neq(X3,nil) )
            & ( nil != X3
              | nil = X2 )
            & ! [X4] :
                ( ~ rearsegP(sK0,X4)
                | ~ rearsegP(sK1,X4)
                | ~ neq(X4,nil)
                | ~ ssList(X4) )
            & neq(sK1,nil)
            & sK0 = X2
            & sK1 = X3
            & ssList(X3) )
        & ssList(X2) )
   => ( ? [X3] :
          ( ( ( rearsegP(X3,sK2)
              & neq(sK2,nil) )
            | ~ neq(X3,nil) )
          & ( nil != X3
            | nil = sK2 )
          & ! [X4] :
              ( ~ rearsegP(sK0,X4)
              | ~ rearsegP(sK1,X4)
              | ~ neq(X4,nil)
              | ~ ssList(X4) )
          & neq(sK1,nil)
          & sK0 = sK2
          & sK1 = X3
          & ssList(X3) )
      & ssList(sK2) ) ),
    introduced(choice_axiom,[]) ).

fof(f126,plain,
    ( ? [X3] :
        ( ( ( rearsegP(X3,sK2)
            & neq(sK2,nil) )
          | ~ neq(X3,nil) )
        & ( nil != X3
          | nil = sK2 )
        & ! [X4] :
            ( ~ rearsegP(sK0,X4)
            | ~ rearsegP(sK1,X4)
            | ~ neq(X4,nil)
            | ~ ssList(X4) )
        & neq(sK1,nil)
        & sK0 = sK2
        & sK1 = X3
        & ssList(X3) )
   => ( ( ( rearsegP(sK3,sK2)
          & neq(sK2,nil) )
        | ~ neq(sK3,nil) )
      & ( nil != sK3
        | nil = sK2 )
      & ! [X4] :
          ( ~ rearsegP(sK0,X4)
          | ~ rearsegP(sK1,X4)
          | ~ neq(X4,nil)
          | ~ ssList(X4) )
      & neq(sK1,nil)
      & sK0 = sK2
      & sK1 = sK3
      & ssList(sK3) ) ),
    introduced(choice_axiom,[]) ).

fof(f99,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ( ( rearsegP(X3,X2)
                      & neq(X2,nil) )
                    | ~ neq(X3,nil) )
                  & ( nil != X3
                    | nil = X2 )
                  & ! [X4] :
                      ( ~ rearsegP(X0,X4)
                      | ~ rearsegP(X1,X4)
                      | ~ neq(X4,nil)
                      | ~ ssList(X4) )
                  & neq(X1,nil)
                  & X0 = X2
                  & X1 = X3
                  & ssList(X3) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(X0) ),
    inference(flattening,[],[f98]) ).

fof(f98,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ( ( rearsegP(X3,X2)
                      & neq(X2,nil) )
                    | ~ neq(X3,nil) )
                  & ( nil != X3
                    | nil = X2 )
                  & ! [X4] :
                      ( ~ rearsegP(X0,X4)
                      | ~ rearsegP(X1,X4)
                      | ~ neq(X4,nil)
                      | ~ ssList(X4) )
                  & neq(X1,nil)
                  & 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)
                   => ( ( ( ~ rearsegP(X3,X2)
                          | ~ neq(X2,nil) )
                        & neq(X3,nil) )
                      | ( nil = X3
                        & nil != X2 )
                      | ? [X4] :
                          ( rearsegP(X0,X4)
                          & rearsegP(X1,X4)
                          & neq(X4,nil)
                          & ssList(X4) )
                      | ~ neq(X1,nil)
                      | X0 != X2
                      | X1 != X3 ) ) ) ) ),
    inference(negated_conjecture,[],[f96]) ).

fof(f96,conjecture,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ! [X2] :
              ( ssList(X2)
             => ! [X3] :
                  ( ssList(X3)
                 => ( ( ( ~ rearsegP(X3,X2)
                        | ~ neq(X2,nil) )
                      & neq(X3,nil) )
                    | ( nil = X3
                      & nil != X2 )
                    | ? [X4] :
                        ( rearsegP(X0,X4)
                        & rearsegP(X1,X4)
                        & neq(X4,nil)
                        & ssList(X4) )
                    | ~ neq(X1,nil)
                    | X0 != X2
                    | X1 != X3 ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

fof(f286,plain,
    ( ~ ssList(sK2)
    | ~ spl8_2
    | ~ spl8_3 ),
    inference(resolution,[],[f282,f160]) ).

fof(f160,plain,
    ! [X0] :
      ( rearsegP(X0,X0)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f106]) ).

fof(f106,plain,
    ! [X0] :
      ( rearsegP(X0,X0)
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f49]) ).

fof(f49,axiom,
    ! [X0] :
      ( ssList(X0)
     => rearsegP(X0,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax49) ).

fof(f282,plain,
    ( ~ rearsegP(sK2,sK2)
    | ~ spl8_2
    | ~ spl8_3 ),
    inference(subsumption_resolution,[],[f281,f142]) ).

fof(f281,plain,
    ( ~ rearsegP(sK2,sK2)
    | ~ ssList(sK2)
    | ~ spl8_2
    | ~ spl8_3 ),
    inference(subsumption_resolution,[],[f270,f219]) ).

fof(f219,plain,
    ( rearsegP(sK3,sK2)
    | ~ spl8_2 ),
    inference(avatar_component_clause,[],[f217]) ).

fof(f217,plain,
    ( spl8_2
  <=> rearsegP(sK3,sK2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_2])]) ).

fof(f270,plain,
    ( ~ rearsegP(sK3,sK2)
    | ~ rearsegP(sK2,sK2)
    | ~ ssList(sK2)
    | ~ spl8_3 ),
    inference(resolution,[],[f180,f224]) ).

fof(f224,plain,
    ( neq(sK2,nil)
    | ~ spl8_3 ),
    inference(avatar_component_clause,[],[f222]) ).

fof(f222,plain,
    ( spl8_3
  <=> neq(sK2,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_3])]) ).

fof(f180,plain,
    ! [X4] :
      ( ~ neq(X4,nil)
      | ~ rearsegP(sK3,X4)
      | ~ rearsegP(sK2,X4)
      | ~ ssList(X4) ),
    inference(definition_unfolding,[],[f147,f145,f144]) ).

fof(f144,plain,
    sK1 = sK3,
    inference(cnf_transformation,[],[f127]) ).

fof(f145,plain,
    sK0 = sK2,
    inference(cnf_transformation,[],[f127]) ).

fof(f147,plain,
    ! [X4] :
      ( ~ rearsegP(sK0,X4)
      | ~ rearsegP(sK1,X4)
      | ~ neq(X4,nil)
      | ~ ssList(X4) ),
    inference(cnf_transformation,[],[f127]) ).

fof(f235,plain,
    spl8_1,
    inference(avatar_split_clause,[],[f181,f213]) ).

fof(f213,plain,
    ( spl8_1
  <=> neq(sK3,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_1])]) ).

fof(f181,plain,
    neq(sK3,nil),
    inference(definition_unfolding,[],[f146,f144]) ).

fof(f146,plain,
    neq(sK1,nil),
    inference(cnf_transformation,[],[f127]) ).

fof(f225,plain,
    ( ~ spl8_1
    | spl8_3 ),
    inference(avatar_split_clause,[],[f149,f222,f213]) ).

fof(f149,plain,
    ( neq(sK2,nil)
    | ~ neq(sK3,nil) ),
    inference(cnf_transformation,[],[f127]) ).

fof(f220,plain,
    ( ~ spl8_1
    | spl8_2 ),
    inference(avatar_split_clause,[],[f150,f217,f213]) ).

fof(f150,plain,
    ( rearsegP(sK3,sK2)
    | ~ neq(sK3,nil) ),
    inference(cnf_transformation,[],[f127]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : SWC051+1 : TPTP v8.2.0. Released v2.4.0.
% 0.11/0.14  % 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
% 0.15/0.35  % Computer : n007.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Sun May 19 02:48:23 EDT 2024
% 0.15/0.35  % CPUTime    : 
% 0.15/0.35  This is a FOF_THM_RFO_SEQ problem
% 0.15/0.35  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
% 0.63/0.80  % (27472)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)
% 0.63/0.80  % (27465)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)
% 0.63/0.80  % (27467)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2995ds/78Mi)
% 0.63/0.80  % (27468)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)
% 0.63/0.80  % (27466)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 (2995ds/51Mi)
% 0.63/0.80  % (27470)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)
% 0.63/0.80  % (27469)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)
% 0.63/0.80  % (27471)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 (2995ds/83Mi)
% 0.63/0.80  % (27472)First to succeed.
% 0.63/0.80  % (27472)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-27299"
% 0.63/0.80  % (27468)Also succeeded, but the first one will report.
% 0.63/0.80  % (27465)Also succeeded, but the first one will report.
% 0.63/0.80  % (27467)Also succeeded, but the first one will report.
% 0.63/0.80  % (27470)Also succeeded, but the first one will report.
% 0.63/0.80  % (27472)Refutation found. Thanks to Tanya!
% 0.63/0.80  % SZS status Theorem for theBenchmark
% 0.63/0.80  % SZS output start Proof for theBenchmark
% See solution above
% 0.63/0.80  % (27472)------------------------------
% 0.63/0.80  % (27472)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.63/0.80  % (27472)Termination reason: Refutation
% 0.63/0.80  
% 0.63/0.80  % (27472)Memory used [KB]: 1168
% 0.63/0.80  % (27472)Time elapsed: 0.004 s
% 0.63/0.80  % (27472)Instructions burned: 6 (million)
% 0.63/0.80  % (27299)Success in time 0.439 s
% 0.63/0.81  % Vampire---4.8 exiting
%------------------------------------------------------------------------------