TSTP Solution File: SWC365+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWC365+1 : TPTP v8.1.2. 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 : n028.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 09:50:37 EDT 2024

% Result   : Theorem 0.62s 0.77s
% Output   : Refutation 0.62s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   23 (   9 unt;   1 typ;   0 def)
%            Number of atoms       :  325 (  54 equ)
%            Maximal formula atoms :   26 (  14 avg)
%            Number of connectives :  203 (  51   ~;  36   |; 102   &)
%                                         (   2 <=>;  12  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   6 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of FOOLs       :  151 ( 151 fml;   0 var)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    2 (   1   >;   1   *;   0   +;   0  <<)
%            Number of predicates  :   13 (  11 usr;   8 prp; 0-3 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :   33 (   8   !;  24   ?;   1   :)
%                                         (   1  !>;   0  ?*;   0  @-;   0  @+)

% Comments : 
%------------------------------------------------------------------------------
tff(pred_def_20,type,
    sQ9_eqProxy: 
      !>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).

tff(f278,plain,
    $false,
    inference(avatar_sat_refutation,[],[f246,f261,f262]) ).

tff(f262,plain,
    spl10_1,
    inference(avatar_split_clause,[],[f199,f239]) ).

tff(f239,plain,
    ( spl10_1
  <=> neq(sK3,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_1])]) ).

tff(f199,plain,
    neq(sK3,nil),
    inference(definition_unfolding,[],[f156,f154]) ).

tff(f154,plain,
    sK1 = sK3,
    inference(cnf_transformation,[],[f134]) ).

tff(f134,plain,
    ( ( ( rearsegP(sK3,sK2)
        & neq(sK2,nil) )
      | ~ neq(sK3,nil) )
    & ( ( nil != sK3 )
      | ( nil = sK2 ) )
    & ~ rearsegP(sK1,sK0)
    & 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,f133,f132,f131,f130]) ).

tff(f130,plain,
    ( ? [X0] :
        ( ? [X1] :
            ( ? [X2] :
                ( ? [X3] :
                    ( ( ( rearsegP(X3,X2)
                        & neq(X2,nil) )
                      | ~ neq(X3,nil) )
                    & ( ( nil != X3 )
                      | ( nil = X2 ) )
                    & ~ rearsegP(X1,X0)
                    & 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 ) )
                  & ~ rearsegP(X1,sK0)
                  & neq(X1,nil)
                  & ( sK0 = X2 )
                  & ( X1 = X3 )
                  & ssList(X3) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(sK0) ) ),
    introduced(choice_axiom,[]) ).

tff(f131,plain,
    ( ? [X1] :
        ( ? [X2] :
            ( ? [X3] :
                ( ( ( rearsegP(X3,X2)
                    & neq(X2,nil) )
                  | ~ neq(X3,nil) )
                & ( ( nil != X3 )
                  | ( nil = X2 ) )
                & ~ rearsegP(X1,sK0)
                & 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 ) )
              & ~ rearsegP(sK1,sK0)
              & neq(sK1,nil)
              & ( sK0 = X2 )
              & ( sK1 = X3 )
              & ssList(X3) )
          & ssList(X2) )
      & ssList(sK1) ) ),
    introduced(choice_axiom,[]) ).

tff(f132,plain,
    ( ? [X2] :
        ( ? [X3] :
            ( ( ( rearsegP(X3,X2)
                & neq(X2,nil) )
              | ~ neq(X3,nil) )
            & ( ( nil != X3 )
              | ( nil = X2 ) )
            & ~ rearsegP(sK1,sK0)
            & 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 ) )
          & ~ rearsegP(sK1,sK0)
          & neq(sK1,nil)
          & ( sK0 = sK2 )
          & ( sK1 = X3 )
          & ssList(X3) )
      & ssList(sK2) ) ),
    introduced(choice_axiom,[]) ).

tff(f133,plain,
    ( ? [X3] :
        ( ( ( rearsegP(X3,sK2)
            & neq(sK2,nil) )
          | ~ neq(X3,nil) )
        & ( ( nil != X3 )
          | ( nil = sK2 ) )
        & ~ rearsegP(sK1,sK0)
        & neq(sK1,nil)
        & ( sK0 = sK2 )
        & ( sK1 = X3 )
        & ssList(X3) )
   => ( ( ( rearsegP(sK3,sK2)
          & neq(sK2,nil) )
        | ~ neq(sK3,nil) )
      & ( ( nil != sK3 )
        | ( nil = sK2 ) )
      & ~ rearsegP(sK1,sK0)
      & neq(sK1,nil)
      & ( sK0 = sK2 )
      & ( sK1 = sK3 )
      & ssList(sK3) ) ),
    introduced(choice_axiom,[]) ).

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

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

tff(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 ) )
                      | rearsegP(X1,X0)
                      | ~ neq(X1,nil)
                      | ( X0 != X2 )
                      | ( X1 != X3 ) ) ) ) ) ),
    inference(negated_conjecture,[],[f96]) ).

tff(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 ) )
                    | rearsegP(X1,X0)
                    | ~ neq(X1,nil)
                    | ( X0 != X2 )
                    | ( X1 != X3 ) ) ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.F3kc4k3oup/Vampire---4.8_12349',co1) ).

tff(f156,plain,
    neq(sK1,nil),
    inference(cnf_transformation,[],[f134]) ).

tff(f261,plain,
    ~ spl10_2,
    inference(avatar_split_clause,[],[f198,f243]) ).

tff(f243,plain,
    ( spl10_2
  <=> rearsegP(sK3,sK2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_2])]) ).

tff(f198,plain,
    ~ rearsegP(sK3,sK2),
    inference(definition_unfolding,[],[f157,f154,f155]) ).

tff(f155,plain,
    sK0 = sK2,
    inference(cnf_transformation,[],[f134]) ).

tff(f157,plain,
    ~ rearsegP(sK1,sK0),
    inference(cnf_transformation,[],[f134]) ).

tff(f246,plain,
    ( ~ spl10_1
    | spl10_2 ),
    inference(avatar_split_clause,[],[f160,f243,f239]) ).

tff(f160,plain,
    ( rearsegP(sK3,sK2)
    | ~ neq(sK3,nil) ),
    inference(cnf_transformation,[],[f134]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : SWC365+1 : TPTP v8.1.2. Released v2.4.0.
% 0.06/0.14  % 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
% 0.14/0.35  % Computer : n028.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Fri May  3 20:33:53 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.F3kc4k3oup/Vampire---4.8_12349
% 0.62/0.77  % (12535)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)
% 0.62/0.77  % (12542)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)
% 0.62/0.77  % (12536)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)
% 0.62/0.77  % (12538)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)
% 0.62/0.77  % (12537)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.62/0.77  % (12535)First to succeed.
% 0.62/0.77  % (12542)Also succeeded, but the first one will report.
% 0.62/0.77  % (12539)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)
% 0.62/0.77  % (12540)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)
% 0.62/0.77  % (12541)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)
% 0.62/0.77  % (12535)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-12513"
% 0.62/0.77  vampire: malloc.c:2617: sysmalloc: Assertion `(old_top == initial_top (av) && old_size == 0) || ((unsigned long) (old_size) >= MINSIZE && prev_inuse (old_top) && ((unsigned long) old_end & (pagesize - 1)) == 0)' failed.
% 0.62/0.77  12539 Aborted by signal SIGABRT on /export/starexec/sandbox2/tmp/tmp.F3kc4k3oup/Vampire---4.8_12349
% 0.62/0.77  % (12539)------------------------------
% 0.62/0.77  % (12539)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.77  % (12539)Termination reason: Unknown
% 0.62/0.77  % (12539)Termination phase: Preprocessing 2
% 0.62/0.77  
% 0.62/0.77  % (12539)Memory used [KB]: 1070
% 0.62/0.77  % (12539)Time elapsed: 0.002 s
% 0.62/0.77  % (12539)Instructions burned: 3 (million)
% 0.62/0.77  % (12535)Refutation found. Thanks to Tanya!
% 0.62/0.77  % SZS status Theorem for Vampire---4
% 0.62/0.77  % SZS output start Proof for Vampire---4
% See solution above
% 0.62/0.77  % (12535)------------------------------
% 0.62/0.77  % (12535)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.77  % (12535)Termination reason: Refutation
% 0.62/0.77  
% 0.62/0.77  % (12535)Memory used [KB]: 1140
% 0.62/0.77  % (12535)Time elapsed: 0.003 s
% 0.62/0.77  % (12535)Instructions burned: 6 (million)
% 0.62/0.77  % (12513)Success in time 0.413 s
% 0.62/0.77  % (12539)------------------------------
% 0.62/0.77  % (12539)------------------------------
% 0.62/0.77  Version : Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.77  ???
% 0.62/0.77   ???
% 0.62/0.77    ???
% 0.62/0.77     ???
% 0.62/0.77      ???
% 0.62/0.77       ???
% 0.62/0.77        ???
% 0.62/0.77         ???
% 0.62/0.77          ???
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% 0.62/0.77             ???
% 0.62/0.77              ???
% 0.62/0.77               ???
% 0.62/0.77                ???
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% 0.62/0.77                   ???
% 0.62/0.77                    ???
% 0.62/0.77                     ???
% 0.62/0.77                      ???
% 0.62/0.77                       ???
% 0.62/0.77                        ???
% 0.62/0.77                         ???
% 0.62/0.77                          ???
% 0.62/0.77                           ???
% 0.62/0.77                            ???
% 0.62/0.77                             ???
% 0.62/0.77                              ???
% 0.62/0.77                               ???
% 0.62/0.77                                ???
% 0.62/0.77                                 ???
% 0.62/0.77                                  ???
% 0.62/0.77                                   ???
% 0.62/0.77                                    ???
% 0.62/0.77                                     ???
% 0.62/0.77                                      ???
% 0.62/0.77                                       ???
% 0.62/0.77                                        ???
% 0.62/0.77                                         ???
% 0.62/0.77                                          ???
% 0.62/0.77                                           ???
% 0.62/0.77                                            ???
% 0.62/0.77                                             ???
% 0.62/0.77                                              ???
% 0.62/0.77  % Vampire---4.8 exiting
%------------------------------------------------------------------------------