TSTP Solution File: SWC060+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWC060+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s

% Computer : n010.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 : Thu Aug 31 20:56:11 EDT 2023

% Result   : Theorem 0.22s 0.45s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   17
% Syntax   : Number of formulae    :   78 (   7 unt;   0 def)
%            Number of atoms       :  372 ( 102 equ)
%            Maximal formula atoms :   34 (   4 avg)
%            Number of connectives :  459 ( 165   ~; 158   |; 110   &)
%                                         (  12 <=>;  14  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   18 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   13 (  11 usr;   9 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :   60 (;  38   !;  22   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f696,plain,
    $false,
    inference(avatar_sat_refutation,[],[f581,f586,f592,f605,f610,f611,f639,f648,f666,f668,f695]) ).

fof(f695,plain,
    ( ~ spl51_2
    | ~ spl51_4
    | ~ spl51_6 ),
    inference(avatar_contradiction_clause,[],[f694]) ).

fof(f694,plain,
    ( $false
    | ~ spl51_2
    | ~ spl51_4
    | ~ spl51_6 ),
    inference(subsumption_resolution,[],[f693,f613]) ).

fof(f613,plain,
    ssList(sK0),
    inference(forward_demodulation,[],[f337,f340]) ).

fof(f340,plain,
    sK0 = sK2,
    inference(cnf_transformation,[],[f226]) ).

fof(f226,plain,
    ( ( ( segmentP(sK3,sK2)
        & neq(sK2,nil) )
      | ( nil = sK2
        & nil = sK3 ) )
    & ( ( ! [X4] :
            ( ~ segmentP(sK0,X4)
            | ~ segmentP(sK1,X4)
            | ~ neq(X4,nil)
            | ~ ssList(X4) )
        & neq(sK1,nil) )
      | ( nil != sK0
        & nil = sK1 ) )
    & sK0 = sK2
    & sK1 = sK3
    & ssList(sK3)
    & ssList(sK2)
    & ssList(sK1)
    & ssList(sK0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f98,f225,f224,f223,f222]) ).

fof(f222,plain,
    ( ? [X0] :
        ( ? [X1] :
            ( ? [X2] :
                ( ? [X3] :
                    ( ( ( segmentP(X3,X2)
                        & neq(X2,nil) )
                      | ( nil = X2
                        & nil = X3 ) )
                    & ( ( ! [X4] :
                            ( ~ segmentP(X0,X4)
                            | ~ segmentP(X1,X4)
                            | ~ neq(X4,nil)
                            | ~ ssList(X4) )
                        & neq(X1,nil) )
                      | ( nil != X0
                        & nil = X1 ) )
                    & X0 = X2
                    & X1 = X3
                    & ssList(X3) )
                & ssList(X2) )
            & ssList(X1) )
        & ssList(X0) )
   => ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ( ( segmentP(X3,X2)
                      & neq(X2,nil) )
                    | ( nil = X2
                      & nil = X3 ) )
                  & ( ( ! [X4] :
                          ( ~ segmentP(sK0,X4)
                          | ~ segmentP(X1,X4)
                          | ~ neq(X4,nil)
                          | ~ ssList(X4) )
                      & neq(X1,nil) )
                    | ( nil != sK0
                      & nil = X1 ) )
                  & sK0 = X2
                  & X1 = X3
                  & ssList(X3) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(sK0) ) ),
    introduced(choice_axiom,[]) ).

fof(f223,plain,
    ( ? [X1] :
        ( ? [X2] :
            ( ? [X3] :
                ( ( ( segmentP(X3,X2)
                    & neq(X2,nil) )
                  | ( nil = X2
                    & nil = X3 ) )
                & ( ( ! [X4] :
                        ( ~ segmentP(sK0,X4)
                        | ~ segmentP(X1,X4)
                        | ~ neq(X4,nil)
                        | ~ ssList(X4) )
                    & neq(X1,nil) )
                  | ( nil != sK0
                    & nil = X1 ) )
                & sK0 = X2
                & X1 = X3
                & ssList(X3) )
            & ssList(X2) )
        & ssList(X1) )
   => ( ? [X2] :
          ( ? [X3] :
              ( ( ( segmentP(X3,X2)
                  & neq(X2,nil) )
                | ( nil = X2
                  & nil = X3 ) )
              & ( ( ! [X4] :
                      ( ~ segmentP(sK0,X4)
                      | ~ segmentP(sK1,X4)
                      | ~ neq(X4,nil)
                      | ~ ssList(X4) )
                  & neq(sK1,nil) )
                | ( nil != sK0
                  & nil = sK1 ) )
              & sK0 = X2
              & sK1 = X3
              & ssList(X3) )
          & ssList(X2) )
      & ssList(sK1) ) ),
    introduced(choice_axiom,[]) ).

fof(f224,plain,
    ( ? [X2] :
        ( ? [X3] :
            ( ( ( segmentP(X3,X2)
                & neq(X2,nil) )
              | ( nil = X2
                & nil = X3 ) )
            & ( ( ! [X4] :
                    ( ~ segmentP(sK0,X4)
                    | ~ segmentP(sK1,X4)
                    | ~ neq(X4,nil)
                    | ~ ssList(X4) )
                & neq(sK1,nil) )
              | ( nil != sK0
                & nil = sK1 ) )
            & sK0 = X2
            & sK1 = X3
            & ssList(X3) )
        & ssList(X2) )
   => ( ? [X3] :
          ( ( ( segmentP(X3,sK2)
              & neq(sK2,nil) )
            | ( nil = sK2
              & nil = X3 ) )
          & ( ( ! [X4] :
                  ( ~ segmentP(sK0,X4)
                  | ~ segmentP(sK1,X4)
                  | ~ neq(X4,nil)
                  | ~ ssList(X4) )
              & neq(sK1,nil) )
            | ( nil != sK0
              & nil = sK1 ) )
          & sK0 = sK2
          & sK1 = X3
          & ssList(X3) )
      & ssList(sK2) ) ),
    introduced(choice_axiom,[]) ).

fof(f225,plain,
    ( ? [X3] :
        ( ( ( segmentP(X3,sK2)
            & neq(sK2,nil) )
          | ( nil = sK2
            & nil = X3 ) )
        & ( ( ! [X4] :
                ( ~ segmentP(sK0,X4)
                | ~ segmentP(sK1,X4)
                | ~ neq(X4,nil)
                | ~ ssList(X4) )
            & neq(sK1,nil) )
          | ( nil != sK0
            & nil = sK1 ) )
        & sK0 = sK2
        & sK1 = X3
        & ssList(X3) )
   => ( ( ( segmentP(sK3,sK2)
          & neq(sK2,nil) )
        | ( nil = sK2
          & nil = sK3 ) )
      & ( ( ! [X4] :
              ( ~ segmentP(sK0,X4)
              | ~ segmentP(sK1,X4)
              | ~ neq(X4,nil)
              | ~ ssList(X4) )
          & neq(sK1,nil) )
        | ( nil != sK0
          & nil = sK1 ) )
      & sK0 = sK2
      & sK1 = sK3
      & ssList(sK3) ) ),
    introduced(choice_axiom,[]) ).

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

fof(f96,conjecture,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ! [X2] :
              ( ssList(X2)
             => ! [X3] :
                  ( ( ( ~ segmentP(X3,X2)
                      | ~ neq(X2,nil) )
                    & ( nil != X2
                      | nil != X3 ) )
                  | ( ( ? [X4] :
                          ( segmentP(X0,X4)
                          & segmentP(X1,X4)
                          & neq(X4,nil)
                          & ssList(X4) )
                      | ~ neq(X1,nil) )
                    & ( nil = X0
                      | nil != X1 ) )
                  | X0 != X2
                  | X1 != X3
                  | ~ ssList(X3) ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.WtfKAJh6wf/Vampire---4.8_32264',co1) ).

fof(f337,plain,
    ssList(sK2),
    inference(cnf_transformation,[],[f226]) ).

fof(f693,plain,
    ( ~ ssList(sK0)
    | ~ spl51_2
    | ~ spl51_4
    | ~ spl51_6 ),
    inference(resolution,[],[f692,f410]) ).

fof(f410,plain,
    ! [X0] :
      ( segmentP(X0,X0)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f142]) ).

fof(f142,plain,
    ! [X0] :
      ( segmentP(X0,X0)
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f55]) ).

fof(f55,axiom,
    ! [X0] :
      ( ssList(X0)
     => segmentP(X0,X0) ),
    file('/export/starexec/sandbox/tmp/tmp.WtfKAJh6wf/Vampire---4.8_32264',ax55) ).

fof(f692,plain,
    ( ~ segmentP(sK0,sK0)
    | ~ spl51_2
    | ~ spl51_4
    | ~ spl51_6 ),
    inference(subsumption_resolution,[],[f691,f669]) ).

fof(f669,plain,
    ( neq(sK0,nil)
    | ~ spl51_4 ),
    inference(forward_demodulation,[],[f590,f340]) ).

fof(f590,plain,
    ( neq(sK2,nil)
    | ~ spl51_4 ),
    inference(avatar_component_clause,[],[f588]) ).

fof(f588,plain,
    ( spl51_4
  <=> neq(sK2,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl51_4])]) ).

fof(f691,plain,
    ( ~ neq(sK0,nil)
    | ~ segmentP(sK0,sK0)
    | ~ spl51_2
    | ~ spl51_6 ),
    inference(subsumption_resolution,[],[f687,f613]) ).

fof(f687,plain,
    ( ~ ssList(sK0)
    | ~ neq(sK0,nil)
    | ~ segmentP(sK0,sK0)
    | ~ spl51_2
    | ~ spl51_6 ),
    inference(resolution,[],[f599,f616]) ).

fof(f616,plain,
    ( segmentP(sK1,sK0)
    | ~ spl51_2 ),
    inference(forward_demodulation,[],[f615,f339]) ).

fof(f339,plain,
    sK1 = sK3,
    inference(cnf_transformation,[],[f226]) ).

fof(f615,plain,
    ( segmentP(sK3,sK0)
    | ~ spl51_2 ),
    inference(forward_demodulation,[],[f580,f340]) ).

fof(f580,plain,
    ( segmentP(sK3,sK2)
    | ~ spl51_2 ),
    inference(avatar_component_clause,[],[f578]) ).

fof(f578,plain,
    ( spl51_2
  <=> segmentP(sK3,sK2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl51_2])]) ).

fof(f599,plain,
    ( ! [X4] :
        ( ~ segmentP(sK1,X4)
        | ~ ssList(X4)
        | ~ neq(X4,nil)
        | ~ segmentP(sK0,X4) )
    | ~ spl51_6 ),
    inference(avatar_component_clause,[],[f598]) ).

fof(f598,plain,
    ( spl51_6
  <=> ! [X4] :
        ( ~ segmentP(sK0,X4)
        | ~ ssList(X4)
        | ~ neq(X4,nil)
        | ~ segmentP(sK1,X4) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl51_6])]) ).

fof(f668,plain,
    ( spl51_5
    | ~ spl51_1 ),
    inference(avatar_split_clause,[],[f659,f574,f594]) ).

fof(f594,plain,
    ( spl51_5
  <=> nil = sK0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl51_5])]) ).

fof(f574,plain,
    ( spl51_1
  <=> nil = sK2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl51_1])]) ).

fof(f659,plain,
    ( nil = sK0
    | ~ spl51_1 ),
    inference(superposition,[],[f576,f340]) ).

fof(f576,plain,
    ( nil = sK2
    | ~ spl51_1 ),
    inference(avatar_component_clause,[],[f574]) ).

fof(f666,plain,
    ( ~ spl51_3
    | spl51_7 ),
    inference(avatar_contradiction_clause,[],[f665]) ).

fof(f665,plain,
    ( $false
    | ~ spl51_3
    | spl51_7 ),
    inference(subsumption_resolution,[],[f662,f603]) ).

fof(f603,plain,
    ( nil != sK1
    | spl51_7 ),
    inference(avatar_component_clause,[],[f602]) ).

fof(f602,plain,
    ( spl51_7
  <=> nil = sK1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl51_7])]) ).

fof(f662,plain,
    ( nil = sK1
    | ~ spl51_3 ),
    inference(superposition,[],[f339,f585]) ).

fof(f585,plain,
    ( nil = sK3
    | ~ spl51_3 ),
    inference(avatar_component_clause,[],[f583]) ).

fof(f583,plain,
    ( spl51_3
  <=> nil = sK3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl51_3])]) ).

fof(f648,plain,
    ( ~ spl51_7
    | ~ spl51_8 ),
    inference(avatar_contradiction_clause,[],[f647]) ).

fof(f647,plain,
    ( $false
    | ~ spl51_7
    | ~ spl51_8 ),
    inference(subsumption_resolution,[],[f645,f357]) ).

fof(f357,plain,
    ssList(nil),
    inference(cnf_transformation,[],[f17]) ).

fof(f17,axiom,
    ssList(nil),
    file('/export/starexec/sandbox/tmp/tmp.WtfKAJh6wf/Vampire---4.8_32264',ax17) ).

fof(f645,plain,
    ( ~ ssList(nil)
    | ~ spl51_7
    | ~ spl51_8 ),
    inference(resolution,[],[f640,f571]) ).

fof(f571,plain,
    ! [X1] :
      ( ~ neq(X1,X1)
      | ~ ssList(X1) ),
    inference(duplicate_literal_removal,[],[f560]) ).

fof(f560,plain,
    ! [X1] :
      ( ~ neq(X1,X1)
      | ~ ssList(X1)
      | ~ ssList(X1) ),
    inference(equality_resolution,[],[f509]) ).

fof(f509,plain,
    ! [X0,X1] :
      ( X0 != X1
      | ~ neq(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f316]) ).

fof(f316,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( neq(X0,X1)
              | X0 = X1 )
            & ( X0 != X1
              | ~ neq(X0,X1) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(nnf_transformation,[],[f197]) ).

fof(f197,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( neq(X0,X1)
          <=> X0 != X1 )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f15]) ).

fof(f15,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ( neq(X0,X1)
          <=> X0 != X1 ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.WtfKAJh6wf/Vampire---4.8_32264',ax15) ).

fof(f640,plain,
    ( neq(nil,nil)
    | ~ spl51_7
    | ~ spl51_8 ),
    inference(forward_demodulation,[],[f609,f604]) ).

fof(f604,plain,
    ( nil = sK1
    | ~ spl51_7 ),
    inference(avatar_component_clause,[],[f602]) ).

fof(f609,plain,
    ( neq(sK1,nil)
    | ~ spl51_8 ),
    inference(avatar_component_clause,[],[f607]) ).

fof(f607,plain,
    ( spl51_8
  <=> neq(sK1,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl51_8])]) ).

fof(f639,plain,
    ( spl51_5
    | ~ spl51_2
    | ~ spl51_7 ),
    inference(avatar_split_clause,[],[f638,f602,f578,f594]) ).

fof(f638,plain,
    ( nil = sK0
    | ~ spl51_2
    | ~ spl51_7 ),
    inference(subsumption_resolution,[],[f619,f613]) ).

fof(f619,plain,
    ( nil = sK0
    | ~ ssList(sK0)
    | ~ spl51_2
    | ~ spl51_7 ),
    inference(resolution,[],[f617,f490]) ).

fof(f490,plain,
    ! [X0] :
      ( ~ segmentP(nil,X0)
      | nil = X0
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f310]) ).

fof(f310,plain,
    ! [X0] :
      ( ( ( segmentP(nil,X0)
          | nil != X0 )
        & ( nil = X0
          | ~ segmentP(nil,X0) ) )
      | ~ ssList(X0) ),
    inference(nnf_transformation,[],[f176]) ).

fof(f176,plain,
    ! [X0] :
      ( ( segmentP(nil,X0)
      <=> nil = X0 )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f58]) ).

fof(f58,axiom,
    ! [X0] :
      ( ssList(X0)
     => ( segmentP(nil,X0)
      <=> nil = X0 ) ),
    file('/export/starexec/sandbox/tmp/tmp.WtfKAJh6wf/Vampire---4.8_32264',ax58) ).

fof(f617,plain,
    ( segmentP(nil,sK0)
    | ~ spl51_2
    | ~ spl51_7 ),
    inference(forward_demodulation,[],[f616,f604]) ).

fof(f611,plain,
    ( spl51_7
    | spl51_8 ),
    inference(avatar_split_clause,[],[f341,f607,f602]) ).

fof(f341,plain,
    ( neq(sK1,nil)
    | nil = sK1 ),
    inference(cnf_transformation,[],[f226]) ).

fof(f610,plain,
    ( ~ spl51_5
    | spl51_8 ),
    inference(avatar_split_clause,[],[f342,f607,f594]) ).

fof(f342,plain,
    ( neq(sK1,nil)
    | nil != sK0 ),
    inference(cnf_transformation,[],[f226]) ).

fof(f605,plain,
    ( spl51_7
    | spl51_6 ),
    inference(avatar_split_clause,[],[f343,f598,f602]) ).

fof(f343,plain,
    ! [X4] :
      ( ~ segmentP(sK0,X4)
      | ~ segmentP(sK1,X4)
      | ~ neq(X4,nil)
      | ~ ssList(X4)
      | nil = sK1 ),
    inference(cnf_transformation,[],[f226]) ).

fof(f592,plain,
    ( spl51_3
    | spl51_4 ),
    inference(avatar_split_clause,[],[f345,f588,f583]) ).

fof(f345,plain,
    ( neq(sK2,nil)
    | nil = sK3 ),
    inference(cnf_transformation,[],[f226]) ).

fof(f586,plain,
    ( spl51_3
    | spl51_2 ),
    inference(avatar_split_clause,[],[f347,f578,f583]) ).

fof(f347,plain,
    ( segmentP(sK3,sK2)
    | nil = sK3 ),
    inference(cnf_transformation,[],[f226]) ).

fof(f581,plain,
    ( spl51_1
    | spl51_2 ),
    inference(avatar_split_clause,[],[f348,f578,f574]) ).

fof(f348,plain,
    ( segmentP(sK3,sK2)
    | nil = sK2 ),
    inference(cnf_transformation,[],[f226]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14  % Problem    : SWC060+1 : TPTP v8.1.2. Released v2.4.0.
% 0.15/0.15  % Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.37  % Computer : n010.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   : Mon Aug 28 18:25:34 EDT 2023
% 0.15/0.37  % CPUTime    : 
% 0.15/0.37  This is a FOF_THM_RFO_SEQ problem
% 0.15/0.37  Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.WtfKAJh6wf/Vampire---4.8_32264
% 0.15/0.38  % (32468)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.44  % (32477)ott+1010_2:5_bd=off:fsd=off:fde=none:nm=16:sos=on_419 on Vampire---4 for (419ds/0Mi)
% 0.22/0.44  % (32476)lrs+10_1024_av=off:bsr=on:br=off:ep=RSTC:fsd=off:irw=on:nm=4:nwc=1.1:sims=off:urr=on:stl=125_440 on Vampire---4 for (440ds/0Mi)
% 0.22/0.44  % (32473)lrs+10_4:5_amm=off:bsr=on:bce=on:flr=on:fsd=off:fde=unused:gs=on:gsem=on:lcm=predicate:sos=all:tgt=ground:stl=62_514 on Vampire---4 for (514ds/0Mi)
% 0.22/0.44  % (32474)ott+1011_4_er=known:fsd=off:nm=4:tgt=ground_499 on Vampire---4 for (499ds/0Mi)
% 0.22/0.44  % (32475)ott+11_8:1_aac=none:amm=sco:anc=none:er=known:flr=on:fde=unused:irw=on:nm=0:nwc=1.2:nicw=on:sims=off:sos=all:sac=on_470 on Vampire---4 for (470ds/0Mi)
% 0.22/0.44  % (32471)lrs+1011_1_bd=preordered:flr=on:fsd=off:fsr=off:irw=on:lcm=reverse:msp=off:nm=2:nwc=10.0:sos=on:sp=reverse_weighted_frequency:tgt=full:stl=62_562 on Vampire---4 for (562ds/0Mi)
% 0.22/0.44  % (32472)lrs-1004_3_av=off:ep=RSTC:fsd=off:fsr=off:urr=ec_only:stl=62_525 on Vampire---4 for (525ds/0Mi)
% 0.22/0.45  % (32477)First to succeed.
% 0.22/0.45  % (32477)Refutation found. Thanks to Tanya!
% 0.22/0.45  % SZS status Theorem for Vampire---4
% 0.22/0.45  % SZS output start Proof for Vampire---4
% See solution above
% 0.22/0.45  % (32477)------------------------------
% 0.22/0.45  % (32477)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.45  % (32477)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.45  % (32477)Termination reason: Refutation
% 0.22/0.45  
% 0.22/0.45  % (32477)Memory used [KB]: 6012
% 0.22/0.45  % (32477)Time elapsed: 0.011 s
% 0.22/0.45  % (32477)------------------------------
% 0.22/0.45  % (32477)------------------------------
% 0.22/0.45  % (32468)Success in time 0.073 s
% 0.22/0.45  % Vampire---4.8 exiting
%------------------------------------------------------------------------------