TSTP Solution File: SWC370+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWC370+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% Computer : n025.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 : Wed Aug 31 18:40:45 EDT 2022

% Result   : Theorem 2.19s 0.61s
% Output   : Refutation 2.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   43 (  12 unt;   0 def)
%            Number of atoms       :  333 ( 118 equ)
%            Maximal formula atoms :   34 (   7 avg)
%            Number of connectives :  436 ( 146   ~; 122   |; 144   &)
%                                         (   2 <=>;  22  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   24 (   9 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   6 con; 0-2 aty)
%            Number of variables   :  143 (  90   !;  53   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f588,plain,
    $false,
    inference(subsumption_resolution,[],[f587,f164]) ).

fof(f164,plain,
    ~ segmentP(sK3,sK2),
    inference(cnf_transformation,[],[f139]) ).

fof(f139,plain,
    ( ssList(sK3)
    & sK4 = sK2
    & sK5 = sK3
    & sK5 = app(sK4,sK6)
    & equalelemsP(sK4)
    & ! [X5] :
        ( ~ ssItem(X5)
        | ! [X6] :
            ( app(cons(X5,nil),X6) != sK6
            | ~ ssList(X6)
            | ! [X7] :
                ( app(X7,cons(X5,nil)) != sK4
                | ~ ssList(X7) ) ) )
    & ssList(sK6)
    & ( nil != sK4
      | nil = sK5 )
    & ssList(sK5)
    & ~ segmentP(sK3,sK2)
    & ssList(sK4)
    & ssList(sK2) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4,sK5,sK6])],[f120,f138,f137,f136,f135,f134]) ).

fof(f134,plain,
    ( ? [X0] :
        ( ? [X1] :
            ( ssList(X1)
            & ? [X2] :
                ( ? [X3] :
                    ( X0 = X2
                    & X1 = X3
                    & ? [X4] :
                        ( app(X2,X4) = X3
                        & equalelemsP(X2)
                        & ! [X5] :
                            ( ~ ssItem(X5)
                            | ! [X6] :
                                ( app(cons(X5,nil),X6) != X4
                                | ~ ssList(X6)
                                | ! [X7] :
                                    ( app(X7,cons(X5,nil)) != X2
                                    | ~ ssList(X7) ) ) )
                        & ssList(X4) )
                    & ( nil != X2
                      | nil = X3 )
                    & ssList(X3)
                    & ~ segmentP(X1,X0) )
                & ssList(X2) ) )
        & ssList(X0) )
   => ( ? [X1] :
          ( ssList(X1)
          & ? [X2] :
              ( ? [X3] :
                  ( sK2 = X2
                  & X1 = X3
                  & ? [X4] :
                      ( app(X2,X4) = X3
                      & equalelemsP(X2)
                      & ! [X5] :
                          ( ~ ssItem(X5)
                          | ! [X6] :
                              ( app(cons(X5,nil),X6) != X4
                              | ~ ssList(X6)
                              | ! [X7] :
                                  ( app(X7,cons(X5,nil)) != X2
                                  | ~ ssList(X7) ) ) )
                      & ssList(X4) )
                  & ( nil != X2
                    | nil = X3 )
                  & ssList(X3)
                  & ~ segmentP(X1,sK2) )
              & ssList(X2) ) )
      & ssList(sK2) ) ),
    introduced(choice_axiom,[]) ).

fof(f135,plain,
    ( ? [X1] :
        ( ssList(X1)
        & ? [X2] :
            ( ? [X3] :
                ( sK2 = X2
                & X1 = X3
                & ? [X4] :
                    ( app(X2,X4) = X3
                    & equalelemsP(X2)
                    & ! [X5] :
                        ( ~ ssItem(X5)
                        | ! [X6] :
                            ( app(cons(X5,nil),X6) != X4
                            | ~ ssList(X6)
                            | ! [X7] :
                                ( app(X7,cons(X5,nil)) != X2
                                | ~ ssList(X7) ) ) )
                    & ssList(X4) )
                & ( nil != X2
                  | nil = X3 )
                & ssList(X3)
                & ~ segmentP(X1,sK2) )
            & ssList(X2) ) )
   => ( ssList(sK3)
      & ? [X2] :
          ( ? [X3] :
              ( sK2 = X2
              & sK3 = X3
              & ? [X4] :
                  ( app(X2,X4) = X3
                  & equalelemsP(X2)
                  & ! [X5] :
                      ( ~ ssItem(X5)
                      | ! [X6] :
                          ( app(cons(X5,nil),X6) != X4
                          | ~ ssList(X6)
                          | ! [X7] :
                              ( app(X7,cons(X5,nil)) != X2
                              | ~ ssList(X7) ) ) )
                  & ssList(X4) )
              & ( nil != X2
                | nil = X3 )
              & ssList(X3)
              & ~ segmentP(sK3,sK2) )
          & ssList(X2) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f136,plain,
    ( ? [X2] :
        ( ? [X3] :
            ( sK2 = X2
            & sK3 = X3
            & ? [X4] :
                ( app(X2,X4) = X3
                & equalelemsP(X2)
                & ! [X5] :
                    ( ~ ssItem(X5)
                    | ! [X6] :
                        ( app(cons(X5,nil),X6) != X4
                        | ~ ssList(X6)
                        | ! [X7] :
                            ( app(X7,cons(X5,nil)) != X2
                            | ~ ssList(X7) ) ) )
                & ssList(X4) )
            & ( nil != X2
              | nil = X3 )
            & ssList(X3)
            & ~ segmentP(sK3,sK2) )
        & ssList(X2) )
   => ( ? [X3] :
          ( sK4 = sK2
          & sK3 = X3
          & ? [X4] :
              ( app(sK4,X4) = X3
              & equalelemsP(sK4)
              & ! [X5] :
                  ( ~ ssItem(X5)
                  | ! [X6] :
                      ( app(cons(X5,nil),X6) != X4
                      | ~ ssList(X6)
                      | ! [X7] :
                          ( app(X7,cons(X5,nil)) != sK4
                          | ~ ssList(X7) ) ) )
              & ssList(X4) )
          & ( nil != sK4
            | nil = X3 )
          & ssList(X3)
          & ~ segmentP(sK3,sK2) )
      & ssList(sK4) ) ),
    introduced(choice_axiom,[]) ).

fof(f137,plain,
    ( ? [X3] :
        ( sK4 = sK2
        & sK3 = X3
        & ? [X4] :
            ( app(sK4,X4) = X3
            & equalelemsP(sK4)
            & ! [X5] :
                ( ~ ssItem(X5)
                | ! [X6] :
                    ( app(cons(X5,nil),X6) != X4
                    | ~ ssList(X6)
                    | ! [X7] :
                        ( app(X7,cons(X5,nil)) != sK4
                        | ~ ssList(X7) ) ) )
            & ssList(X4) )
        & ( nil != sK4
          | nil = X3 )
        & ssList(X3)
        & ~ segmentP(sK3,sK2) )
   => ( sK4 = sK2
      & sK5 = sK3
      & ? [X4] :
          ( sK5 = app(sK4,X4)
          & equalelemsP(sK4)
          & ! [X5] :
              ( ~ ssItem(X5)
              | ! [X6] :
                  ( app(cons(X5,nil),X6) != X4
                  | ~ ssList(X6)
                  | ! [X7] :
                      ( app(X7,cons(X5,nil)) != sK4
                      | ~ ssList(X7) ) ) )
          & ssList(X4) )
      & ( nil != sK4
        | nil = sK5 )
      & ssList(sK5)
      & ~ segmentP(sK3,sK2) ) ),
    introduced(choice_axiom,[]) ).

fof(f138,plain,
    ( ? [X4] :
        ( sK5 = app(sK4,X4)
        & equalelemsP(sK4)
        & ! [X5] :
            ( ~ ssItem(X5)
            | ! [X6] :
                ( app(cons(X5,nil),X6) != X4
                | ~ ssList(X6)
                | ! [X7] :
                    ( app(X7,cons(X5,nil)) != sK4
                    | ~ ssList(X7) ) ) )
        & ssList(X4) )
   => ( sK5 = app(sK4,sK6)
      & equalelemsP(sK4)
      & ! [X5] :
          ( ~ ssItem(X5)
          | ! [X6] :
              ( app(cons(X5,nil),X6) != sK6
              | ~ ssList(X6)
              | ! [X7] :
                  ( app(X7,cons(X5,nil)) != sK4
                  | ~ ssList(X7) ) ) )
      & ssList(sK6) ) ),
    introduced(choice_axiom,[]) ).

fof(f120,plain,
    ? [X0] :
      ( ? [X1] :
          ( ssList(X1)
          & ? [X2] :
              ( ? [X3] :
                  ( X0 = X2
                  & X1 = X3
                  & ? [X4] :
                      ( app(X2,X4) = X3
                      & equalelemsP(X2)
                      & ! [X5] :
                          ( ~ ssItem(X5)
                          | ! [X6] :
                              ( app(cons(X5,nil),X6) != X4
                              | ~ ssList(X6)
                              | ! [X7] :
                                  ( app(X7,cons(X5,nil)) != X2
                                  | ~ ssList(X7) ) ) )
                      & ssList(X4) )
                  & ( nil != X2
                    | nil = X3 )
                  & ssList(X3)
                  & ~ segmentP(X1,X0) )
              & ssList(X2) ) )
      & ssList(X0) ),
    inference(flattening,[],[f119]) ).

fof(f119,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( X0 = X2
                  & ( nil != X2
                    | nil = X3 )
                  & X1 = X3
                  & ~ segmentP(X1,X0)
                  & ? [X4] :
                      ( equalelemsP(X2)
                      & ! [X5] :
                          ( ~ ssItem(X5)
                          | ! [X6] :
                              ( app(cons(X5,nil),X6) != X4
                              | ~ ssList(X6)
                              | ! [X7] :
                                  ( app(X7,cons(X5,nil)) != X2
                                  | ~ ssList(X7) ) ) )
                      & app(X2,X4) = X3
                      & ssList(X4) )
                  & 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)
                   => ( X0 != X2
                      | ( nil != X3
                        & nil = X2 )
                      | X1 != X3
                      | segmentP(X1,X0)
                      | ! [X4] :
                          ( ssList(X4)
                         => ( ~ equalelemsP(X2)
                            | ? [X5] :
                                ( ssItem(X5)
                                & ? [X6] :
                                    ( ? [X7] :
                                        ( ssList(X7)
                                        & app(X7,cons(X5,nil)) = X2 )
                                    & app(cons(X5,nil),X6) = X4
                                    & ssList(X6) ) )
                            | app(X2,X4) != X3 ) ) ) ) ) ) ),
    inference(negated_conjecture,[],[f96]) ).

fof(f96,conjecture,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ! [X2] :
              ( ssList(X2)
             => ! [X3] :
                  ( ssList(X3)
                 => ( X0 != X2
                    | ( nil != X3
                      & nil = X2 )
                    | X1 != X3
                    | segmentP(X1,X0)
                    | ! [X4] :
                        ( ssList(X4)
                       => ( ~ equalelemsP(X2)
                          | ? [X5] :
                              ( ssItem(X5)
                              & ? [X6] :
                                  ( ? [X7] :
                                      ( ssList(X7)
                                      & app(X7,cons(X5,nil)) = X2 )
                                  & app(cons(X5,nil),X6) = X4
                                  & ssList(X6) ) )
                          | app(X2,X4) != X3 ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

fof(f587,plain,
    segmentP(sK3,sK2),
    inference(subsumption_resolution,[],[f572,f167]) ).

fof(f167,plain,
    ssList(sK6),
    inference(cnf_transformation,[],[f139]) ).

fof(f572,plain,
    ( ~ ssList(sK6)
    | segmentP(sK3,sK2) ),
    inference(superposition,[],[f433,f213]) ).

fof(f213,plain,
    sK3 = app(sK2,sK6),
    inference(definition_unfolding,[],[f170,f171,f172]) ).

fof(f172,plain,
    sK4 = sK2,
    inference(cnf_transformation,[],[f139]) ).

fof(f171,plain,
    sK5 = sK3,
    inference(cnf_transformation,[],[f139]) ).

fof(f170,plain,
    sK5 = app(sK4,sK6),
    inference(cnf_transformation,[],[f139]) ).

fof(f433,plain,
    ! [X1] :
      ( segmentP(app(sK2,X1),sK2)
      | ~ ssList(X1) ),
    inference(subsumption_resolution,[],[f432,f250]) ).

fof(f250,plain,
    ! [X4] :
      ( ssList(app(sK2,X4))
      | ~ ssList(X4) ),
    inference(resolution,[],[f207,f162]) ).

fof(f162,plain,
    ssList(sK2),
    inference(cnf_transformation,[],[f139]) ).

fof(f207,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | ssList(app(X0,X1)) ),
    inference(cnf_transformation,[],[f118]) ).

fof(f118,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ! [X1] :
          ( ~ ssList(X1)
          | ssList(app(X0,X1)) ) ),
    inference(ennf_transformation,[],[f26]) ).

fof(f26,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ssList(app(X0,X1)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax26) ).

fof(f432,plain,
    ! [X1] :
      ( ~ ssList(X1)
      | segmentP(app(sK2,X1),sK2)
      | ~ ssList(app(sK2,X1)) ),
    inference(subsumption_resolution,[],[f431,f162]) ).

fof(f431,plain,
    ! [X1] :
      ( ~ ssList(app(sK2,X1))
      | ~ ssList(X1)
      | ~ ssList(sK2)
      | segmentP(app(sK2,X1),sK2) ),
    inference(subsumption_resolution,[],[f414,f196]) ).

fof(f196,plain,
    ssList(nil),
    inference(cnf_transformation,[],[f17]) ).

fof(f17,axiom,
    ssList(nil),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax17) ).

fof(f414,plain,
    ! [X1] :
      ( ~ ssList(X1)
      | ~ ssList(nil)
      | ~ ssList(sK2)
      | segmentP(app(sK2,X1),sK2)
      | ~ ssList(app(sK2,X1)) ),
    inference(superposition,[],[f219,f235]) ).

fof(f235,plain,
    app(nil,sK2) = sK2,
    inference(resolution,[],[f181,f162]) ).

fof(f181,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | app(nil,X0) = X0 ),
    inference(cnf_transformation,[],[f104]) ).

fof(f104,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | app(nil,X0) = X0 ),
    inference(ennf_transformation,[],[f28]) ).

fof(f28,axiom,
    ! [X0] :
      ( ssList(X0)
     => app(nil,X0) = X0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax28) ).

fof(f219,plain,
    ! [X2,X3,X1] :
      ( ~ ssList(app(app(X2,X1),X3))
      | ~ ssList(X2)
      | segmentP(app(app(X2,X1),X3),X1)
      | ~ ssList(X1)
      | ~ ssList(X3) ),
    inference(equality_resolution,[],[f180]) ).

fof(f180,plain,
    ! [X2,X3,X0,X1] :
      ( segmentP(X0,X1)
      | ~ ssList(X2)
      | app(app(X2,X1),X3) != X0
      | ~ ssList(X3)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f144]) ).

fof(f144,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( segmentP(X0,X1)
              | ! [X2] :
                  ( ~ ssList(X2)
                  | ! [X3] :
                      ( app(app(X2,X1),X3) != X0
                      | ~ ssList(X3) ) ) )
            & ( ( ssList(sK7(X0,X1))
                & app(app(sK7(X0,X1),X1),sK8(X0,X1)) = X0
                & ssList(sK8(X0,X1)) )
              | ~ segmentP(X0,X1) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK7,sK8])],[f141,f143,f142]) ).

fof(f142,plain,
    ! [X0,X1] :
      ( ? [X4] :
          ( ssList(X4)
          & ? [X5] :
              ( app(app(X4,X1),X5) = X0
              & ssList(X5) ) )
     => ( ssList(sK7(X0,X1))
        & ? [X5] :
            ( app(app(sK7(X0,X1),X1),X5) = X0
            & ssList(X5) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f143,plain,
    ! [X0,X1] :
      ( ? [X5] :
          ( app(app(sK7(X0,X1),X1),X5) = X0
          & ssList(X5) )
     => ( app(app(sK7(X0,X1),X1),sK8(X0,X1)) = X0
        & ssList(sK8(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f141,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( segmentP(X0,X1)
              | ! [X2] :
                  ( ~ ssList(X2)
                  | ! [X3] :
                      ( app(app(X2,X1),X3) != X0
                      | ~ ssList(X3) ) ) )
            & ( ? [X4] :
                  ( ssList(X4)
                  & ? [X5] :
                      ( app(app(X4,X1),X5) = X0
                      & ssList(X5) ) )
              | ~ segmentP(X0,X1) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(rectify,[],[f140]) ).

fof(f140,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( segmentP(X0,X1)
              | ! [X2] :
                  ( ~ ssList(X2)
                  | ! [X3] :
                      ( app(app(X2,X1),X3) != X0
                      | ~ ssList(X3) ) ) )
            & ( ? [X2] :
                  ( ssList(X2)
                  & ? [X3] :
                      ( app(app(X2,X1),X3) = X0
                      & ssList(X3) ) )
              | ~ segmentP(X0,X1) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(nnf_transformation,[],[f127]) ).

fof(f127,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( segmentP(X0,X1)
          <=> ? [X2] :
                ( ssList(X2)
                & ? [X3] :
                    ( app(app(X2,X1),X3) = X0
                    & ssList(X3) ) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f7]) ).

fof(f7,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ( segmentP(X0,X1)
          <=> ? [X2] :
                ( ssList(X2)
                & ? [X3] :
                    ( app(app(X2,X1),X3) = X0
                    & ssList(X3) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10  % Problem    : SWC370+1 : TPTP v8.1.0. Released v2.4.0.
% 0.02/0.11  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.10/0.31  % Computer : n025.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit   : 300
% 0.10/0.31  % WCLimit    : 300
% 0.10/0.31  % DateTime   : Tue Aug 30 18:59:30 EDT 2022
% 0.10/0.31  % CPUTime    : 
% 0.15/0.49  % (20158)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.15/0.49  % (20141)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.15/0.49  % (20150)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.15/0.50  % (20157)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.15/0.50  % (20149)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.15/0.50  % (20149)Instruction limit reached!
% 0.15/0.50  % (20149)------------------------------
% 0.15/0.50  % (20149)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.50  % (20150)Instruction limit reached!
% 0.15/0.50  % (20150)------------------------------
% 0.15/0.50  % (20150)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.50  % (20150)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.50  % (20150)Termination reason: Unknown
% 0.15/0.50  % (20150)Termination phase: Property scanning
% 0.15/0.50  
% 0.15/0.50  % (20150)Memory used [KB]: 1791
% 0.15/0.50  % (20150)Time elapsed: 0.011 s
% 0.15/0.50  % (20150)Instructions burned: 7 (million)
% 0.15/0.50  % (20150)------------------------------
% 0.15/0.50  % (20150)------------------------------
% 0.15/0.51  % (20142)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.15/0.51  % (20149)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.51  % (20149)Termination reason: Unknown
% 0.15/0.51  % (20149)Termination phase: Preprocessing 3
% 0.15/0.51  
% 0.15/0.51  % (20149)Memory used [KB]: 1535
% 0.15/0.51  % (20149)Time elapsed: 0.004 s
% 0.15/0.51  % (20149)Instructions burned: 3 (million)
% 0.15/0.51  % (20149)------------------------------
% 0.15/0.51  % (20149)------------------------------
% 0.15/0.51  % (20138)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.15/0.51  % (20143)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.15/0.51  % (20139)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.15/0.51  % (20144)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.15/0.51  % (20145)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.15/0.53  % (20135)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.15/0.53  % (20137)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.15/0.53  % (20155)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.15/0.53  % (20137)Instruction limit reached!
% 0.15/0.53  % (20137)------------------------------
% 0.15/0.53  % (20137)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.53  % (20137)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.53  % (20137)Termination reason: Unknown
% 0.15/0.53  % (20137)Termination phase: Preprocessing 3
% 0.15/0.53  
% 0.15/0.53  % (20137)Memory used [KB]: 1535
% 0.15/0.53  % (20137)Time elapsed: 0.003 s
% 0.15/0.53  % (20137)Instructions burned: 3 (million)
% 0.15/0.53  % (20137)------------------------------
% 0.15/0.53  % (20137)------------------------------
% 0.15/0.53  % (20156)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.15/0.54  % (20145)Instruction limit reached!
% 0.15/0.54  % (20145)------------------------------
% 0.15/0.54  % (20145)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.54  % (20139)Instruction limit reached!
% 0.15/0.54  % (20139)------------------------------
% 0.15/0.54  % (20139)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.54  % (20139)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.54  % (20139)Termination reason: Unknown
% 0.15/0.54  % (20139)Termination phase: Saturation
% 0.15/0.54  
% 0.15/0.54  % (20139)Memory used [KB]: 6268
% 0.15/0.54  % (20139)Time elapsed: 0.168 s
% 0.15/0.54  % (20139)Instructions burned: 13 (million)
% 0.15/0.54  % (20139)------------------------------
% 0.15/0.54  % (20139)------------------------------
% 0.15/0.54  % (20140)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.15/0.55  % (20161)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.15/0.55  % (20141)Instruction limit reached!
% 0.15/0.55  % (20141)------------------------------
% 0.15/0.55  % (20141)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.55  % (20141)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.55  % (20141)Termination reason: Unknown
% 0.15/0.55  % (20162)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.15/0.55  % (20141)Termination phase: Saturation
% 0.15/0.55  
% 0.15/0.55  % (20141)Memory used [KB]: 6524
% 0.15/0.55  % (20163)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.15/0.55  % (20141)Time elapsed: 0.172 s
% 0.15/0.55  % (20141)Instructions burned: 39 (million)
% 0.15/0.55  % (20141)------------------------------
% 0.15/0.55  % (20141)------------------------------
% 0.15/0.55  % (20136)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.15/0.55  % (20154)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 0.15/0.55  % (20153)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.15/0.55  % (20145)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.55  % (20145)Termination reason: Unknown
% 0.15/0.55  % (20145)Termination phase: Saturation
% 0.15/0.55  
% 0.15/0.55  % (20145)Memory used [KB]: 6268
% 0.15/0.55  % (20145)Time elapsed: 0.159 s
% 0.15/0.55  % (20145)Instructions burned: 13 (million)
% 0.15/0.55  % (20145)------------------------------
% 0.15/0.55  % (20145)------------------------------
% 0.15/0.55  % (20164)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.15/0.56  % (20153)Instruction limit reached!
% 0.15/0.56  % (20153)------------------------------
% 0.15/0.56  % (20153)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.56  % (20153)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.56  % (20153)Termination reason: Unknown
% 0.15/0.56  % (20153)Termination phase: Preprocessing 3
% 0.15/0.56  
% 0.15/0.56  % (20153)Memory used [KB]: 1535
% 0.15/0.56  % (20153)Time elapsed: 0.004 s
% 0.15/0.56  % (20153)Instructions burned: 3 (million)
% 0.15/0.56  % (20153)------------------------------
% 0.15/0.56  % (20153)------------------------------
% 0.15/0.56  % (20148)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.15/0.56  % (20147)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.15/0.56  % (20160)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 0.15/0.56  % (20163)Instruction limit reached!
% 0.15/0.56  % (20163)------------------------------
% 0.15/0.56  % (20163)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.56  % (20163)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.56  % (20163)Termination reason: Unknown
% 0.15/0.56  % (20163)Termination phase: Function definition elimination
% 0.15/0.56  
% 0.15/0.56  % (20163)Memory used [KB]: 1791
% 0.15/0.56  % (20163)Time elapsed: 0.008 s
% 0.15/0.56  % (20163)Instructions burned: 8 (million)
% 0.15/0.56  % (20163)------------------------------
% 0.15/0.56  % (20163)------------------------------
% 0.15/0.57  % (20140)Instruction limit reached!
% 0.15/0.57  % (20140)------------------------------
% 0.15/0.57  % (20140)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.57  % (20140)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.57  % (20140)Termination reason: Unknown
% 0.15/0.57  % (20140)Termination phase: Saturation
% 0.15/0.57  
% 0.15/0.57  % (20140)Memory used [KB]: 1791
% 0.15/0.57  % (20140)Time elapsed: 0.194 s
% 0.15/0.57  % (20140)Instructions burned: 15 (million)
% 0.15/0.57  % (20140)------------------------------
% 0.15/0.57  % (20140)------------------------------
% 0.15/0.57  % (20159)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.15/0.57  % (20146)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.15/0.57  % (20158)Instruction limit reached!
% 0.15/0.57  % (20158)------------------------------
% 0.15/0.57  % (20158)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.57  % (20158)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.57  % (20158)Termination reason: Unknown
% 0.15/0.57  % (20158)Termination phase: Saturation
% 0.15/0.57  
% 0.15/0.57  % (20158)Memory used [KB]: 2174
% 0.15/0.57  % (20158)Time elapsed: 0.149 s
% 0.15/0.57  % (20158)Instructions burned: 45 (million)
% 0.15/0.57  % (20158)------------------------------
% 0.15/0.57  % (20158)------------------------------
% 0.15/0.57  % (20152)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.15/0.57  % (20146)Instruction limit reached!
% 0.15/0.57  % (20146)------------------------------
% 0.15/0.57  % (20146)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.57  % (20136)Instruction limit reached!
% 0.15/0.57  % (20136)------------------------------
% 0.15/0.57  % (20136)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.58  % (20142)Instruction limit reached!
% 0.15/0.58  % (20142)------------------------------
% 0.15/0.58  % (20142)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.58  % (20152)Instruction limit reached!
% 0.15/0.58  % (20152)------------------------------
% 0.15/0.58  % (20152)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.58  % (20152)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.58  % (20152)Termination reason: Unknown
% 0.15/0.58  % (20152)Termination phase: Preprocessing 3
% 0.15/0.58  
% 0.15/0.58  % (20152)Memory used [KB]: 1663
% 0.15/0.58  % (20152)Time elapsed: 0.005 s
% 0.15/0.58  % (20152)Instructions burned: 4 (million)
% 0.15/0.58  % (20152)------------------------------
% 0.15/0.58  % (20152)------------------------------
% 0.15/0.58  % (20136)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.58  % (20136)Termination reason: Unknown
% 0.15/0.58  % (20136)Termination phase: Saturation
% 0.15/0.58  
% 0.15/0.58  % (20136)Memory used [KB]: 6396
% 0.15/0.58  % (20136)Time elapsed: 0.192 s
% 0.15/0.58  % (20136)Instructions burned: 14 (million)
% 0.15/0.58  % (20136)------------------------------
% 0.15/0.58  % (20136)------------------------------
% 0.15/0.58  % (20151)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.15/0.58  % (20154)Instruction limit reached!
% 0.15/0.58  % (20154)------------------------------
% 0.15/0.58  % (20154)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.58  % (20154)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.58  % (20154)Termination reason: Unknown
% 0.15/0.58  % (20154)Termination phase: Saturation
% 0.15/0.58  
% 0.15/0.58  % (20154)Memory used [KB]: 6268
% 0.15/0.58  % (20154)Time elapsed: 0.190 s
% 0.15/0.58  % (20154)Instructions burned: 11 (million)
% 0.15/0.58  % (20154)------------------------------
% 0.15/0.58  % (20154)------------------------------
% 0.15/0.58  % (20147)Instruction limit reached!
% 0.15/0.58  % (20147)------------------------------
% 0.15/0.58  % (20147)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.58  % (20147)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.58  % (20147)Termination reason: Unknown
% 0.15/0.58  % (20147)Termination phase: Saturation
% 0.15/0.58  
% 0.15/0.58  % (20147)Memory used [KB]: 2046
% 0.15/0.58  % (20147)Time elapsed: 0.204 s
% 0.15/0.58  % (20147)Instructions burned: 17 (million)
% 0.15/0.58  % (20147)------------------------------
% 0.15/0.58  % (20147)------------------------------
% 0.15/0.58  % (20146)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.58  % (20146)Termination reason: Unknown
% 0.15/0.58  % (20146)Termination phase: Saturation
% 1.71/0.58  
% 1.71/0.58  % (20146)Memory used [KB]: 6140
% 1.71/0.58  % (20146)Time elapsed: 0.191 s
% 1.71/0.58  % (20146)Instructions burned: 7 (million)
% 1.71/0.58  % (20146)------------------------------
% 1.71/0.58  % (20146)------------------------------
% 1.71/0.59  % (20144)Instruction limit reached!
% 1.71/0.59  % (20144)------------------------------
% 1.71/0.59  % (20144)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.71/0.59  % (20144)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.71/0.59  % (20144)Termination reason: Unknown
% 1.71/0.59  % (20144)Termination phase: Saturation
% 1.71/0.59  
% 1.71/0.59  % (20144)Memory used [KB]: 6652
% 1.71/0.59  % (20144)Time elapsed: 0.201 s
% 1.71/0.59  % (20144)Instructions burned: 33 (million)
% 1.71/0.59  % (20144)------------------------------
% 1.71/0.59  % (20144)------------------------------
% 1.71/0.59  % (20162)Instruction limit reached!
% 1.71/0.59  % (20162)------------------------------
% 1.71/0.59  % (20162)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.71/0.59  % (20162)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.71/0.59  % (20162)Termination reason: Unknown
% 1.71/0.59  % (20162)Termination phase: Saturation
% 1.71/0.59  
% 1.71/0.59  % (20162)Memory used [KB]: 6652
% 1.71/0.59  % (20162)Time elapsed: 0.214 s
% 1.71/0.59  % (20162)Instructions burned: 25 (million)
% 1.71/0.59  % (20162)------------------------------
% 1.71/0.59  % (20162)------------------------------
% 1.71/0.60  % (20142)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.71/0.60  % (20142)Termination reason: Unknown
% 1.71/0.60  % (20142)Termination phase: Saturation
% 1.71/0.60  
% 1.71/0.60  % (20142)Memory used [KB]: 6524
% 1.71/0.60  % (20142)Time elapsed: 0.117 s
% 1.71/0.60  % (20142)Instructions burned: 39 (million)
% 1.71/0.60  % (20142)------------------------------
% 1.71/0.60  % (20142)------------------------------
% 2.19/0.60  % (20160)First to succeed.
% 2.19/0.60  % (20164)Instruction limit reached!
% 2.19/0.60  % (20164)------------------------------
% 2.19/0.60  % (20164)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.19/0.60  % (20164)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.19/0.60  % (20164)Termination reason: Unknown
% 2.19/0.60  % (20164)Termination phase: Saturation
% 2.19/0.60  
% 2.19/0.60  % (20164)Memory used [KB]: 6396
% 2.19/0.60  % (20164)Time elapsed: 0.226 s
% 2.19/0.60  % (20164)Instructions burned: 24 (million)
% 2.19/0.60  % (20164)------------------------------
% 2.19/0.60  % (20164)------------------------------
% 2.19/0.61  % (20160)Refutation found. Thanks to Tanya!
% 2.19/0.61  % SZS status Theorem for theBenchmark
% 2.19/0.61  % SZS output start Proof for theBenchmark
% See solution above
% 2.19/0.61  % (20160)------------------------------
% 2.19/0.61  % (20160)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.19/0.61  % (20160)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.19/0.61  % (20160)Termination reason: Refutation
% 2.19/0.61  
% 2.19/0.61  % (20160)Memory used [KB]: 6396
% 2.19/0.61  % (20160)Time elapsed: 0.223 s
% 2.19/0.61  % (20160)Instructions burned: 23 (million)
% 2.19/0.61  % (20160)------------------------------
% 2.19/0.61  % (20160)------------------------------
% 2.19/0.61  % (20134)Success in time 0.301 s
%------------------------------------------------------------------------------