TSTP Solution File: GEO331+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : GEO331+1 : TPTP v8.1.0. Released v4.1.0.
% 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 : n013.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 16:09:56 EDT 2022

% Result   : Theorem 2.15s 0.66s
% Output   : Refutation 2.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   23
% Syntax   : Number of formulae    :   94 (  31 unt;   0 def)
%            Number of atoms       :  474 ( 259 equ)
%            Maximal formula atoms :   13 (   5 avg)
%            Number of connectives :  605 ( 225   ~; 288   |;  68   &)
%                                         (   9 <=>;  15  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   19 (   6 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   13 (  11 usr;  10 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   6 con; 0-3 aty)
%            Number of variables   :  146 ( 120   !;  26   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f3231,plain,
    $false,
    inference(avatar_sat_refutation,[],[f2447,f3016,f3017,f3101,f3108,f3109,f3139,f3141,f3142,f3227]) ).

fof(f3227,plain,
    ~ spl51_56,
    inference(avatar_contradiction_clause,[],[f3226]) ).

fof(f3226,plain,
    ( $false
    | ~ spl51_56 ),
    inference(trivial_inequality_removal,[],[f3224]) ).

fof(f3224,plain,
    ( sK11 != sK11
    | ~ spl51_56 ),
    inference(superposition,[],[f954,f2847]) ).

fof(f2847,plain,
    ( sK20 = sK11
    | ~ spl51_56 ),
    inference(avatar_component_clause,[],[f2845]) ).

fof(f2845,plain,
    ( spl51_56
  <=> sK20 = sK11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl51_56])]) ).

fof(f954,plain,
    sK20 != sK11,
    inference(definition_unfolding,[],[f848,f730,f770]) ).

fof(f770,plain,
    vd1353 = sK20,
    inference(cnf_transformation,[],[f536]) ).

fof(f536,plain,
    ( rpoint(sK20)
    & vd1353 = sK20 ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK20])],[f194,f535]) ).

fof(f535,plain,
    ( ? [X0] :
        ( rpoint(X0)
        & vd1353 = X0 )
   => ( rpoint(sK20)
      & vd1353 = sK20 ) ),
    introduced(choice_axiom,[]) ).

fof(f194,plain,
    ? [X0] :
      ( rpoint(X0)
      & vd1353 = X0 ),
    inference(rectify,[],[f8]) ).

fof(f8,axiom,
    ? [X1] :
      ( rpoint(X1)
      & vd1353 = X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qe(s2(plural(383)))') ).

fof(f730,plain,
    vd1352 = sK11,
    inference(cnf_transformation,[],[f501]) ).

fof(f501,plain,
    ( vd1352 = sK11
    & rpoint(sK11) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f214,f500]) ).

fof(f500,plain,
    ( ? [X0] :
        ( vd1352 = X0
        & rpoint(X0) )
   => ( vd1352 = sK11
      & rpoint(sK11) ) ),
    introduced(choice_axiom,[]) ).

fof(f214,plain,
    ? [X0] :
      ( vd1352 = X0
      & rpoint(X0) ),
    inference(rectify,[],[f9]) ).

fof(f9,axiom,
    ? [X2] :
      ( rpoint(X2)
      & vd1352 = X2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qe(s1(plural(383)))') ).

fof(f848,plain,
    vd1352 != vd1353,
    inference(cnf_transformation,[],[f6]) ).

fof(f6,axiom,
    vd1352 != vd1353,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(383, 7)') ).

fof(f3142,plain,
    ( ~ spl51_14
    | spl51_56
    | spl51_53
    | spl51_57
    | ~ spl51_54
    | spl51_55
    | ~ spl51_18
    | ~ spl51_15 ),
    inference(avatar_split_clause,[],[f3125,f2419,f2430,f2841,f2837,f2849,f2833,f2845,f2375]) ).

fof(f2375,plain,
    ( spl51_14
  <=> rpoint(sK20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl51_14])]) ).

fof(f2833,plain,
    ( spl51_53
  <=> sK15 = sK20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl51_53])]) ).

fof(f2849,plain,
    ( spl51_57
  <=> sK15 = sK11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl51_57])]) ).

fof(f2837,plain,
    ( spl51_54
  <=> rless(vf(sK11,sK15),vf(sK11,sK20)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl51_54])]) ).

fof(f2841,plain,
    ( spl51_55
  <=> vf(sK11,sK20) = vf(sK11,sK15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl51_55])]) ).

fof(f2430,plain,
    ( spl51_18
  <=> rpoint(sK11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl51_18])]) ).

fof(f2419,plain,
    ( spl51_15
  <=> rpoint(sK15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl51_15])]) ).

fof(f3125,plain,
    ( ~ rpoint(sK15)
    | ~ rpoint(sK11)
    | vf(sK11,sK20) = vf(sK11,sK15)
    | ~ rless(vf(sK11,sK15),vf(sK11,sK20))
    | sK15 = sK11
    | sK15 = sK20
    | sK20 = sK11
    | ~ rpoint(sK20) ),
    inference(trivial_inequality_removal,[],[f3120]) ).

fof(f3120,plain,
    ( ~ rless(vf(sK11,sK15),vf(sK11,sK20))
    | sK15 = sK20
    | vf(sK11,sK20) = vf(sK11,sK15)
    | vangle(sK11,sK15,sK20) != vangle(sK11,sK15,sK20)
    | sK20 = sK11
    | ~ rpoint(sK20)
    | ~ rpoint(sK11)
    | ~ rpoint(sK15)
    | sK15 = sK11 ),
    inference(superposition,[],[f2033,f944]) ).

fof(f944,plain,
    vangle(sK11,sK15,sK20) = vangle(sK11,sK20,sK15),
    inference(definition_unfolding,[],[f718,f730,f770,f746,f730,f746,f770]) ).

fof(f746,plain,
    vd1354 = sK15,
    inference(cnf_transformation,[],[f517]) ).

fof(f517,plain,
    ( rpoint(sK15)
    & vd1354 = sK15 ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK15])],[f7,f516]) ).

fof(f516,plain,
    ( ? [X0] :
        ( rpoint(X0)
        & vd1354 = X0 )
   => ( rpoint(sK15)
      & vd1354 = sK15 ) ),
    introduced(choice_axiom,[]) ).

fof(f7,axiom,
    ? [X0] :
      ( rpoint(X0)
      & vd1354 = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qe(s3(plural(383)))') ).

fof(f718,plain,
    vangle(vd1352,vd1353,vd1354) = vangle(vd1352,vd1354,vd1353),
    inference(cnf_transformation,[],[f3]) ).

fof(f3,axiom,
    vangle(vd1352,vd1353,vd1354) = vangle(vd1352,vd1354,vd1353),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(383, 1356, 0)') ).

fof(f2033,plain,
    ! [X3,X4,X5] :
      ( vangle(X3,X4,X5) != vangle(X3,X5,X4)
      | X3 = X4
      | ~ rpoint(X4)
      | X3 = X5
      | ~ rpoint(X5)
      | ~ rless(vf(X3,X5),vf(X3,X4))
      | vf(X3,X4) = vf(X3,X5)
      | X4 = X5
      | ~ rpoint(X3) ),
    inference(equality_resolution,[],[f2032]) ).

fof(f2032,plain,
    ! [X3,X0,X4,X5] :
      ( ~ rpoint(X3)
      | X0 = X4
      | vf(X3,X4) = vf(X3,X0)
      | vangle(X3,X0,X4) != vangle(X3,X4,X0)
      | ~ rpoint(X4)
      | ~ rpoint(X5)
      | X0 != X5
      | ~ rless(vf(X3,X0),vf(X3,X4))
      | X3 = X4
      | X0 = X3 ),
    inference(equality_resolution,[],[f2031]) ).

fof(f2031,plain,
    ! [X3,X0,X1,X4,X5] :
      ( ~ rpoint(X3)
      | X0 = X1
      | vf(X3,X1) = vf(X3,X0)
      | vangle(X3,X0,X1) != vangle(X3,X1,X0)
      | X1 != X4
      | ~ rpoint(X4)
      | ~ rpoint(X5)
      | X0 != X5
      | ~ rless(vf(X3,X0),vf(X3,X1))
      | X1 = X3
      | X0 = X3 ),
    inference(equality_resolution,[],[f893]) ).

fof(f893,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( X2 != X3
      | ~ rpoint(X3)
      | X0 = X1
      | vf(X2,X0) = vf(X2,X1)
      | vangle(X2,X0,X1) != vangle(X2,X1,X0)
      | X1 != X4
      | ~ rpoint(X4)
      | ~ rpoint(X5)
      | X0 != X5
      | ~ rless(vf(X2,X0),vf(X2,X1))
      | X1 = X2
      | X0 = X2 ),
    inference(cnf_transformation,[],[f431]) ).

fof(f431,plain,
    ! [X0,X1,X2] :
      ( ! [X3] :
          ( X2 != X3
          | ~ rpoint(X3) )
      | X0 = X1
      | vf(X2,X0) = vf(X2,X1)
      | vangle(X2,X0,X1) != vangle(X2,X1,X0)
      | ! [X4] :
          ( X1 != X4
          | ~ rpoint(X4) )
      | ! [X5] :
          ( ~ rpoint(X5)
          | X0 != X5 )
      | ~ rless(vf(X2,X0),vf(X2,X1))
      | X1 = X2
      | X0 = X2 ),
    inference(flattening,[],[f430]) ).

fof(f430,plain,
    ! [X0,X2,X1] :
      ( ~ rless(vf(X2,X0),vf(X2,X1))
      | vf(X2,X0) = vf(X2,X1)
      | ! [X4] :
          ( X1 != X4
          | ~ rpoint(X4) )
      | ! [X5] :
          ( ~ rpoint(X5)
          | X0 != X5 )
      | vangle(X2,X0,X1) != vangle(X2,X1,X0)
      | ! [X3] :
          ( X2 != X3
          | ~ rpoint(X3) )
      | X0 = X1
      | X0 = X2
      | X1 = X2 ),
    inference(ennf_transformation,[],[f137]) ).

fof(f137,plain,
    ! [X0,X2,X1] :
      ( ( ? [X4] :
            ( rpoint(X4)
            & X1 = X4 )
        & ? [X5] :
            ( X0 = X5
            & rpoint(X5) )
        & vangle(X2,X0,X1) = vangle(X2,X1,X0)
        & ? [X3] :
            ( rpoint(X3)
            & X2 = X3 )
        & X0 != X1
        & X0 != X2
        & X1 != X2 )
     => ( vf(X2,X0) != vf(X2,X1)
       => ~ rless(vf(X2,X0),vf(X2,X1)) ) ),
    inference(rectify,[],[f12]) ).

fof(f12,axiom,
    ! [X5,X4,X3] :
      ( ( ? [X8] :
            ( X3 = X8
            & rpoint(X8) )
        & vangle(X3,X4,X5) = vangle(X3,X5,X4)
        & X3 != X5
        & X3 != X4
        & ? [X7] :
            ( rpoint(X7)
            & X4 = X7 )
        & ? [X6] :
            ( X5 = X6
            & rpoint(X6) )
        & X4 != X5 )
     => ( vf(X3,X4) != vf(X3,X5)
       => ~ rless(vf(X3,X5),vf(X3,X4)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(proof(385), 0), 2)') ).

fof(f3141,plain,
    ( spl51_53
    | ~ spl51_18
    | ~ spl51_15
    | spl51_55
    | spl51_56
    | ~ spl51_58
    | ~ spl51_14
    | spl51_57 ),
    inference(avatar_split_clause,[],[f3126,f2849,f2375,f2854,f2845,f2841,f2419,f2430,f2833]) ).

fof(f2854,plain,
    ( spl51_58
  <=> rless(vf(sK11,sK20),vf(sK11,sK15)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl51_58])]) ).

fof(f3126,plain,
    ( sK15 = sK11
    | ~ rpoint(sK20)
    | ~ rless(vf(sK11,sK20),vf(sK11,sK15))
    | sK20 = sK11
    | vf(sK11,sK20) = vf(sK11,sK15)
    | ~ rpoint(sK15)
    | ~ rpoint(sK11)
    | sK15 = sK20 ),
    inference(trivial_inequality_removal,[],[f3111]) ).

fof(f3111,plain,
    ( sK15 = sK20
    | vangle(sK11,sK15,sK20) != vangle(sK11,sK15,sK20)
    | ~ rpoint(sK20)
    | ~ rpoint(sK11)
    | vf(sK11,sK20) = vf(sK11,sK15)
    | ~ rpoint(sK15)
    | ~ rless(vf(sK11,sK20),vf(sK11,sK15))
    | sK15 = sK11
    | sK20 = sK11 ),
    inference(superposition,[],[f1907,f944]) ).

fof(f1907,plain,
    ! [X3,X4,X5] :
      ( vangle(X3,X4,X5) != vangle(X3,X5,X4)
      | ~ rpoint(X3)
      | ~ rpoint(X4)
      | X4 = X5
      | vf(X3,X4) = vf(X3,X5)
      | X3 = X4
      | ~ rless(vf(X3,X5),vf(X3,X4))
      | ~ rpoint(X5)
      | X3 = X5 ),
    inference(equality_resolution,[],[f1906]) ).

fof(f1906,plain,
    ! [X3,X0,X4,X5] :
      ( X0 = X3
      | ~ rpoint(X3)
      | X3 = X4
      | ~ rpoint(X4)
      | vangle(X3,X0,X4) != vangle(X3,X4,X0)
      | X0 = X4
      | vf(X3,X4) = vf(X3,X0)
      | ~ rless(vf(X3,X0),vf(X3,X4))
      | X0 != X5
      | ~ rpoint(X5) ),
    inference(equality_resolution,[],[f1905]) ).

fof(f1905,plain,
    ! [X2,X3,X0,X4,X5] :
      ( X0 = X3
      | ~ rpoint(X3)
      | X2 = X3
      | X2 != X4
      | ~ rpoint(X4)
      | vangle(X3,X0,X2) != vangle(X3,X2,X0)
      | X0 = X2
      | vf(X3,X2) = vf(X3,X0)
      | ~ rless(vf(X3,X0),vf(X3,X2))
      | X0 != X5
      | ~ rpoint(X5) ),
    inference(equality_resolution,[],[f857]) ).

fof(f857,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( X0 = X1
      | X1 != X3
      | ~ rpoint(X3)
      | X1 = X2
      | X2 != X4
      | ~ rpoint(X4)
      | vangle(X1,X0,X2) != vangle(X1,X2,X0)
      | X0 = X2
      | vf(X1,X2) = vf(X1,X0)
      | ~ rless(vf(X1,X0),vf(X1,X2))
      | X0 != X5
      | ~ rpoint(X5) ),
    inference(cnf_transformation,[],[f608]) ).

fof(f608,plain,
    ! [X0,X1,X2] :
      ( X0 = X1
      | ! [X3] :
          ( X1 != X3
          | ~ rpoint(X3) )
      | X1 = X2
      | ! [X4] :
          ( X2 != X4
          | ~ rpoint(X4) )
      | vangle(X1,X0,X2) != vangle(X1,X2,X0)
      | X0 = X2
      | vf(X1,X2) = vf(X1,X0)
      | ~ rless(vf(X1,X0),vf(X1,X2))
      | ! [X5] :
          ( X0 != X5
          | ~ rpoint(X5) ) ),
    inference(rectify,[],[f355]) ).

fof(f355,plain,
    ! [X2,X0,X1] :
      ( X0 = X2
      | ! [X5] :
          ( X0 != X5
          | ~ rpoint(X5) )
      | X0 = X1
      | ! [X3] :
          ( X1 != X3
          | ~ rpoint(X3) )
      | vangle(X0,X2,X1) != vangle(X0,X1,X2)
      | X1 = X2
      | vf(X0,X2) = vf(X0,X1)
      | ~ rless(vf(X0,X2),vf(X0,X1))
      | ! [X4] :
          ( X2 != X4
          | ~ rpoint(X4) ) ),
    inference(flattening,[],[f354]) ).

fof(f354,plain,
    ! [X1,X2,X0] :
      ( ~ rless(vf(X0,X2),vf(X0,X1))
      | vf(X0,X2) = vf(X0,X1)
      | X0 = X2
      | ! [X3] :
          ( X1 != X3
          | ~ rpoint(X3) )
      | X1 = X2
      | X0 = X1
      | ! [X4] :
          ( X2 != X4
          | ~ rpoint(X4) )
      | ! [X5] :
          ( X0 != X5
          | ~ rpoint(X5) )
      | vangle(X0,X2,X1) != vangle(X0,X1,X2) ),
    inference(ennf_transformation,[],[f204]) ).

fof(f204,plain,
    ! [X1,X2,X0] :
      ( ( X0 != X2
        & ? [X3] :
            ( X1 = X3
            & rpoint(X3) )
        & X1 != X2
        & X0 != X1
        & ? [X4] :
            ( X2 = X4
            & rpoint(X4) )
        & ? [X5] :
            ( X0 = X5
            & rpoint(X5) )
        & vangle(X0,X2,X1) = vangle(X0,X1,X2) )
     => ( vf(X0,X2) != vf(X0,X1)
       => ~ rless(vf(X0,X2),vf(X0,X1)) ) ),
    inference(rectify,[],[f11]) ).

fof(f11,axiom,
    ! [X3,X5,X4] :
      ( ( X4 != X5
        & ? [X6] :
            ( rpoint(X6)
            & X5 = X6 )
        & X3 != X4
        & X3 != X5
        & ? [X7] :
            ( X4 = X7
            & rpoint(X7) )
        & vangle(X3,X4,X5) = vangle(X3,X5,X4)
        & ? [X8] :
            ( rpoint(X8)
            & X3 = X8 ) )
     => ( vf(X3,X4) != vf(X3,X5)
       => ~ rless(vf(X3,X4),vf(X3,X5)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(proof(385), 0), 1)') ).

fof(f3139,plain,
    ( spl51_58
    | spl51_57
    | ~ spl51_18
    | spl51_54
    | spl51_56
    | ~ spl51_14
    | spl51_53
    | ~ spl51_15
    | spl51_55 ),
    inference(avatar_split_clause,[],[f3127,f2841,f2419,f2833,f2375,f2845,f2837,f2430,f2849,f2854]) ).

fof(f3127,plain,
    ( vf(sK11,sK20) = vf(sK11,sK15)
    | ~ rpoint(sK15)
    | sK15 = sK20
    | ~ rpoint(sK20)
    | sK20 = sK11
    | rless(vf(sK11,sK15),vf(sK11,sK20))
    | ~ rpoint(sK11)
    | sK15 = sK11
    | rless(vf(sK11,sK20),vf(sK11,sK15)) ),
    inference(trivial_inequality_removal,[],[f3122]) ).

fof(f3122,plain,
    ( sK15 = sK20
    | ~ rpoint(sK20)
    | vf(sK11,sK20) = vf(sK11,sK15)
    | rless(vf(sK11,sK15),vf(sK11,sK20))
    | sK15 = sK11
    | vangle(sK11,sK15,sK20) != vangle(sK11,sK15,sK20)
    | sK20 = sK11
    | rless(vf(sK11,sK20),vf(sK11,sK15))
    | ~ rpoint(sK15)
    | ~ rpoint(sK11) ),
    inference(superposition,[],[f2171,f944]) ).

fof(f2171,plain,
    ! [X3,X4,X5] :
      ( vangle(X3,X4,X5) != vangle(X3,X5,X4)
      | X3 = X4
      | rless(vf(X3,X4),vf(X3,X5))
      | X4 = X5
      | ~ rpoint(X4)
      | ~ rpoint(X5)
      | X3 = X5
      | vf(X3,X4) = vf(X3,X5)
      | ~ rpoint(X3)
      | rless(vf(X3,X5),vf(X3,X4)) ),
    inference(equality_resolution,[],[f2170]) ).

fof(f2170,plain,
    ! [X3,X0,X4,X5] :
      ( ~ rpoint(X3)
      | rless(vf(X3,X0),vf(X3,X4))
      | X0 = X3
      | vangle(X3,X0,X4) != vangle(X3,X4,X0)
      | ~ rpoint(X4)
      | rless(vf(X3,X4),vf(X3,X0))
      | X0 != X5
      | ~ rpoint(X5)
      | X3 = X4
      | X0 = X4
      | vf(X3,X4) = vf(X3,X0) ),
    inference(equality_resolution,[],[f2169]) ).

fof(f2169,plain,
    ! [X3,X0,X1,X4,X5] :
      ( ~ rpoint(X3)
      | rless(vf(X3,X0),vf(X3,X1))
      | X0 = X3
      | vangle(X3,X0,X1) != vangle(X3,X1,X0)
      | ~ rpoint(X4)
      | X1 != X4
      | rless(vf(X3,X1),vf(X3,X0))
      | X0 != X5
      | ~ rpoint(X5)
      | X1 = X3
      | X0 = X1
      | vf(X3,X1) = vf(X3,X0) ),
    inference(equality_resolution,[],[f937]) ).

fof(f937,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( X2 != X3
      | ~ rpoint(X3)
      | rless(vf(X2,X0),vf(X2,X1))
      | X0 = X2
      | vangle(X2,X0,X1) != vangle(X2,X1,X0)
      | ~ rpoint(X4)
      | X1 != X4
      | rless(vf(X2,X1),vf(X2,X0))
      | X0 != X5
      | ~ rpoint(X5)
      | X1 = X2
      | X0 = X1
      | vf(X2,X0) = vf(X2,X1) ),
    inference(cnf_transformation,[],[f665]) ).

fof(f665,plain,
    ! [X0,X1,X2] :
      ( ! [X3] :
          ( X2 != X3
          | ~ rpoint(X3) )
      | rless(vf(X2,X0),vf(X2,X1))
      | X0 = X2
      | vangle(X2,X0,X1) != vangle(X2,X1,X0)
      | ! [X4] :
          ( ~ rpoint(X4)
          | X1 != X4 )
      | rless(vf(X2,X1),vf(X2,X0))
      | ! [X5] :
          ( X0 != X5
          | ~ rpoint(X5) )
      | X1 = X2
      | X0 = X1
      | vf(X2,X0) = vf(X2,X1) ),
    inference(rectify,[],[f329]) ).

fof(f329,plain,
    ! [X0,X1,X2] :
      ( ! [X5] :
          ( X2 != X5
          | ~ rpoint(X5) )
      | rless(vf(X2,X0),vf(X2,X1))
      | X0 = X2
      | vangle(X2,X0,X1) != vangle(X2,X1,X0)
      | ! [X3] :
          ( ~ rpoint(X3)
          | X1 != X3 )
      | rless(vf(X2,X1),vf(X2,X0))
      | ! [X4] :
          ( X0 != X4
          | ~ rpoint(X4) )
      | X1 = X2
      | X0 = X1
      | vf(X2,X0) = vf(X2,X1) ),
    inference(flattening,[],[f328]) ).

fof(f328,plain,
    ! [X0,X1,X2] :
      ( rless(vf(X2,X0),vf(X2,X1))
      | rless(vf(X2,X1),vf(X2,X0))
      | vf(X2,X0) = vf(X2,X1)
      | ! [X4] :
          ( X0 != X4
          | ~ rpoint(X4) )
      | X1 = X2
      | X0 = X1
      | vangle(X2,X0,X1) != vangle(X2,X1,X0)
      | X0 = X2
      | ! [X5] :
          ( X2 != X5
          | ~ rpoint(X5) )
      | ! [X3] :
          ( ~ rpoint(X3)
          | X1 != X3 ) ),
    inference(ennf_transformation,[],[f227]) ).

fof(f227,plain,
    ! [X0,X1,X2] :
      ( ( ? [X4] :
            ( X0 = X4
            & rpoint(X4) )
        & X1 != X2
        & X0 != X1
        & vangle(X2,X0,X1) = vangle(X2,X1,X0)
        & X0 != X2
        & ? [X5] :
            ( X2 = X5
            & rpoint(X5) )
        & ? [X3] :
            ( rpoint(X3)
            & X1 = X3 ) )
     => ( vf(X2,X0) != vf(X2,X1)
       => ( rless(vf(X2,X0),vf(X2,X1))
          | rless(vf(X2,X1),vf(X2,X0)) ) ) ),
    inference(rectify,[],[f10]) ).

fof(f10,axiom,
    ! [X5,X4,X3] :
      ( ( X3 != X4
        & X3 != X5
        & ? [X7] :
            ( X4 = X7
            & rpoint(X7) )
        & ? [X6] :
            ( rpoint(X6)
            & X5 = X6 )
        & vangle(X3,X4,X5) = vangle(X3,X5,X4)
        & ? [X8] :
            ( X3 = X8
            & rpoint(X8) )
        & X4 != X5 )
     => ( vf(X3,X4) != vf(X3,X5)
       => ( rless(vf(X3,X5),vf(X3,X4))
          | rless(vf(X3,X4),vf(X3,X5)) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(proof(385), 0), 0)') ).

fof(f3109,plain,
    ~ spl51_53,
    inference(avatar_split_clause,[],[f949,f2833]) ).

fof(f949,plain,
    sK15 != sK20,
    inference(definition_unfolding,[],[f790,f770,f746]) ).

fof(f790,plain,
    vd1353 != vd1354,
    inference(cnf_transformation,[],[f4]) ).

fof(f4,axiom,
    vd1353 != vd1354,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(383, 9)') ).

fof(f3108,plain,
    spl51_15,
    inference(avatar_split_clause,[],[f747,f2419]) ).

fof(f747,plain,
    rpoint(sK15),
    inference(cnf_transformation,[],[f517]) ).

fof(f3101,plain,
    ~ spl51_57,
    inference(avatar_contradiction_clause,[],[f3100]) ).

fof(f3100,plain,
    ( $false
    | ~ spl51_57 ),
    inference(trivial_inequality_removal,[],[f3099]) ).

fof(f3099,plain,
    ( sK11 != sK11
    | ~ spl51_57 ),
    inference(superposition,[],[f955,f2851]) ).

fof(f2851,plain,
    ( sK15 = sK11
    | ~ spl51_57 ),
    inference(avatar_component_clause,[],[f2849]) ).

fof(f955,plain,
    sK15 != sK11,
    inference(definition_unfolding,[],[f872,f730,f746]) ).

fof(f872,plain,
    vd1352 != vd1354,
    inference(cnf_transformation,[],[f5]) ).

fof(f5,axiom,
    vd1352 != vd1354,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(383, 8)') ).

fof(f3017,plain,
    spl51_14,
    inference(avatar_split_clause,[],[f771,f2375]) ).

fof(f771,plain,
    rpoint(sK20),
    inference(cnf_transformation,[],[f536]) ).

fof(f3016,plain,
    ~ spl51_55,
    inference(avatar_split_clause,[],[f945,f2841]) ).

fof(f945,plain,
    vf(sK11,sK20) != vf(sK11,sK15),
    inference(definition_unfolding,[],[f777,f730,f770,f730,f746]) ).

fof(f777,plain,
    vf(vd1352,vd1353) != vf(vd1352,vd1354),
    inference(cnf_transformation,[],[f234]) ).

fof(f234,plain,
    vf(vd1352,vd1353) != vf(vd1352,vd1354),
    inference(flattening,[],[f2]) ).

fof(f2,negated_conjecture,
    vf(vd1352,vd1353) != vf(vd1352,vd1354),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    vf(vd1352,vd1353) = vf(vd1352,vd1354),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(384, 1360, 0)') ).

fof(f2447,plain,
    spl51_18,
    inference(avatar_contradiction_clause,[],[f2446]) ).

fof(f2446,plain,
    ( $false
    | spl51_18 ),
    inference(resolution,[],[f2432,f729]) ).

fof(f729,plain,
    rpoint(sK11),
    inference(cnf_transformation,[],[f501]) ).

fof(f2432,plain,
    ( ~ rpoint(sK11)
    | spl51_18 ),
    inference(avatar_component_clause,[],[f2430]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : GEO331+1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34  % Computer : n013.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Mon Aug 29 21:36:17 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.50  % (17520)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.50  % (17512)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)
% 0.19/0.51  % (17507)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)
% 0.19/0.51  % (17528)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)
% 0.19/0.51  % (17507)Instruction limit reached!
% 0.19/0.51  % (17507)------------------------------
% 0.19/0.51  % (17507)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (17520)Instruction limit reached!
% 0.19/0.52  % (17520)------------------------------
% 0.19/0.52  % (17520)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (17520)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (17520)Termination reason: Unknown
% 0.19/0.52  % (17520)Termination phase: Preprocessing 1
% 0.19/0.52  
% 0.19/0.52  % (17520)Memory used [KB]: 2174
% 0.19/0.52  % (17520)Time elapsed: 0.004 s
% 0.19/0.52  % (17520)Instructions burned: 3 (million)
% 0.19/0.52  % (17520)------------------------------
% 0.19/0.52  % (17520)------------------------------
% 0.19/0.52  % (17515)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)
% 0.19/0.52  % (17523)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)
% 0.19/0.52  % (17504)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)
% 0.19/0.52  % (17519)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)
% 0.19/0.52  % (17531)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)
% 0.19/0.53  % (17504)Instruction limit reached!
% 0.19/0.53  % (17504)------------------------------
% 0.19/0.53  % (17504)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (17525)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)
% 0.19/0.53  % (17511)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)
% 0.19/0.53  % (17504)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (17504)Termination reason: Unknown
% 0.19/0.53  % (17504)Termination phase: Saturation
% 0.19/0.53  
% 0.19/0.53  % (17504)Memory used [KB]: 2302
% 0.19/0.53  % (17504)Time elapsed: 0.008 s
% 0.19/0.53  % (17504)Instructions burned: 13 (million)
% 0.19/0.53  % (17504)------------------------------
% 0.19/0.53  % (17504)------------------------------
% 0.19/0.53  % (17507)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (17507)Termination reason: Unknown
% 0.19/0.53  % (17507)Termination phase: Function definition elimination
% 0.19/0.53  
% 0.19/0.53  % (17507)Memory used [KB]: 2686
% 0.19/0.53  % (17507)Time elapsed: 0.008 s
% 0.19/0.53  % (17507)Instructions burned: 13 (million)
% 0.19/0.53  % (17507)------------------------------
% 0.19/0.53  % (17507)------------------------------
% 0.19/0.53  % (17513)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)
% 0.19/0.53  % (17508)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)
% 0.19/0.53  % (17506)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)
% 0.19/0.54  % (17506)Refutation not found, incomplete strategy% (17506)------------------------------
% 0.19/0.54  % (17506)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (17506)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (17506)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.54  
% 0.19/0.54  % (17506)Memory used [KB]: 6396
% 0.19/0.54  % (17506)Time elapsed: 0.127 s
% 0.19/0.54  % (17506)Instructions burned: 3 (million)
% 0.19/0.54  % (17506)------------------------------
% 0.19/0.54  % (17506)------------------------------
% 0.19/0.54  % (17527)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)
% 0.19/0.54  % (17529)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)
% 0.19/0.54  % (17526)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)
% 0.19/0.54  % (17531)Instruction limit reached!
% 0.19/0.54  % (17531)------------------------------
% 0.19/0.54  % (17531)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (17531)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (17531)Termination reason: Unknown
% 0.19/0.54  % (17531)Termination phase: Naming
% 0.19/0.54  
% 0.19/0.54  % (17531)Memory used [KB]: 3326
% 0.19/0.54  % (17531)Time elapsed: 0.010 s
% 0.19/0.54  % (17531)Instructions burned: 9 (million)
% 0.19/0.54  % (17531)------------------------------
% 0.19/0.54  % (17531)------------------------------
% 0.19/0.54  % (17530)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)
% 0.19/0.54  % (17503)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.19/0.54  % (17512)Instruction limit reached!
% 0.19/0.54  % (17512)------------------------------
% 0.19/0.54  % (17512)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (17512)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (17512)Termination reason: Unknown
% 0.19/0.54  % (17512)Termination phase: Saturation
% 0.19/0.54  
% 0.19/0.54  % (17512)Memory used [KB]: 3709
% 0.19/0.54  % (17512)Time elapsed: 0.021 s
% 0.19/0.54  % (17512)Instructions burned: 33 (million)
% 0.19/0.54  % (17512)------------------------------
% 0.19/0.54  % (17512)------------------------------
% 0.19/0.54  % (17517)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)
% 0.19/0.54  % (17505)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)
% 0.19/0.54  % (17505)Instruction limit reached!
% 0.19/0.54  % (17505)------------------------------
% 0.19/0.54  % (17505)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (17505)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (17505)Termination reason: Unknown
% 0.19/0.54  % (17505)Termination phase: Preprocessing 1
% 0.19/0.54  
% 0.19/0.54  % (17505)Memory used [KB]: 2174
% 0.19/0.54  % (17505)Time elapsed: 0.004 s
% 0.19/0.54  % (17505)Instructions burned: 3 (million)
% 0.19/0.54  % (17505)------------------------------
% 0.19/0.54  % (17505)------------------------------
% 0.19/0.54  % (17517)Instruction limit reached!
% 0.19/0.54  % (17517)------------------------------
% 0.19/0.54  % (17517)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (17517)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (17517)Termination reason: Unknown
% 0.19/0.54  % (17517)Termination phase: Preprocessing 1
% 0.19/0.54  
% 0.19/0.54  % (17517)Memory used [KB]: 2430
% 0.19/0.54  % (17517)Time elapsed: 0.003 s
% 0.19/0.54  % (17517)Instructions burned: 4 (million)
% 0.19/0.54  % (17517)------------------------------
% 0.19/0.54  % (17517)------------------------------
% 0.19/0.54  % (17521)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)
% 0.19/0.54  % (17524)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)
% 0.19/0.54  % (17509)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)
% 0.19/0.54  % (17521)Instruction limit reached!
% 0.19/0.54  % (17521)------------------------------
% 0.19/0.54  % (17521)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (17521)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (17521)Termination reason: Unknown
% 0.19/0.54  % (17521)Termination phase: shuffling
% 0.19/0.54  
% 0.19/0.54  % (17521)Memory used [KB]: 1791
% 0.19/0.54  % (17521)Time elapsed: 0.002 s
% 0.19/0.54  % (17521)Instructions burned: 2 (million)
% 0.19/0.54  % (17521)------------------------------
% 0.19/0.54  % (17521)------------------------------
% 0.19/0.54  % (17523)Instruction limit reached!
% 0.19/0.54  % (17523)------------------------------
% 0.19/0.54  % (17523)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (17523)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (17523)Termination reason: Unknown
% 0.19/0.54  % (17523)Termination phase: Property scanning
% 0.19/0.54  
% 0.19/0.54  % (17523)Memory used [KB]: 3709
% 0.19/0.54  % (17523)Time elapsed: 0.016 s
% 0.19/0.54  % (17523)Instructions burned: 31 (million)
% 0.19/0.54  % (17523)------------------------------
% 0.19/0.54  % (17523)------------------------------
% 0.19/0.55  % (17515)Instruction limit reached!
% 0.19/0.55  % (17515)------------------------------
% 0.19/0.55  % (17515)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55  % (17515)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55  % (17515)Termination reason: Unknown
% 0.19/0.55  % (17515)Termination phase: Property scanning
% 0.19/0.55  
% 0.19/0.55  % (17515)Memory used [KB]: 3582
% 0.19/0.55  % (17515)Time elapsed: 0.010 s
% 0.19/0.55  % (17515)Instructions burned: 16 (million)
% 0.19/0.55  % (17515)------------------------------
% 0.19/0.55  % (17515)------------------------------
% 0.19/0.55  % (17522)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)
% 0.19/0.55  % (17514)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)
% 0.19/0.55  % (17513)Instruction limit reached!
% 0.19/0.55  % (17513)------------------------------
% 0.19/0.55  % (17513)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55  % (17532)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)
% 0.19/0.55  % (17518)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)
% 0.19/0.55  % (17516)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)
% 0.19/0.55  % (17514)Instruction limit reached!
% 0.19/0.55  % (17514)------------------------------
% 0.19/0.55  % (17514)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55  % (17518)Instruction limit reached!
% 0.19/0.55  % (17518)------------------------------
% 0.19/0.55  % (17518)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56  % (17510)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)
% 0.19/0.56  % (17522)Instruction limit reached!
% 0.19/0.56  % (17522)------------------------------
% 0.19/0.56  % (17522)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56  % (17513)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56  % (17513)Termination reason: Unknown
% 0.19/0.56  % (17513)Termination phase: Preprocessing 3
% 0.19/0.56  
% 0.19/0.56  % (17513)Memory used [KB]: 3454
% 0.19/0.56  % (17513)Time elapsed: 0.008 s
% 0.19/0.56  % (17513)Instructions burned: 14 (million)
% 0.19/0.56  % (17513)------------------------------
% 0.19/0.56  % (17513)------------------------------
% 0.19/0.56  % (17514)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56  % (17508)Instruction limit reached!
% 0.19/0.56  % (17508)------------------------------
% 0.19/0.56  % (17508)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56  % (17508)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56  % (17508)Termination reason: Unknown
% 0.19/0.56  % (17508)Termination phase: Property scanning
% 0.19/0.56  
% 0.19/0.56  % (17508)Memory used [KB]: 3582
% 0.19/0.56  % (17508)Time elapsed: 0.010 s
% 0.19/0.56  % (17508)Instructions burned: 16 (million)
% 0.19/0.56  % (17508)------------------------------
% 0.19/0.56  % (17508)------------------------------
% 0.19/0.56  % (17514)Termination reason: Unknown
% 0.19/0.56  % (17514)Termination phase: shuffling
% 0.19/0.56  
% 0.19/0.56  % (17514)Memory used [KB]: 3070
% 0.19/0.56  % (17514)Time elapsed: 0.005 s
% 0.19/0.56  % (17514)Instructions burned: 7 (million)
% 0.19/0.56  % (17514)------------------------------
% 0.19/0.56  % (17514)------------------------------
% 0.19/0.57  % (17522)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.57  % (17522)Termination reason: Unknown
% 0.19/0.57  % (17522)Termination phase: Preprocessing 3
% 0.19/0.57  
% 0.19/0.57  % (17522)Memory used [KB]: 3198
% 0.19/0.57  % (17522)Time elapsed: 0.008 s
% 0.19/0.57  % (17522)Instructions burned: 11 (million)
% 0.19/0.57  % (17522)------------------------------
% 0.19/0.57  % (17522)------------------------------
% 0.19/0.58  % (17518)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.58  % (17518)Termination reason: Unknown
% 0.19/0.58  % (17518)Termination phase: Preprocessing 2
% 0.19/0.58  
% 0.19/0.58  % (17518)Memory used [KB]: 3198
% 0.19/0.58  % (17518)Time elapsed: 0.007 s
% 0.19/0.58  % (17518)Instructions burned: 8 (million)
% 0.19/0.58  % (17518)------------------------------
% 0.19/0.58  % (17518)------------------------------
% 0.19/0.58  % (17519)Refutation not found, incomplete strategy% (17519)------------------------------
% 0.19/0.58  % (17519)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.58  % (17519)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.58  % (17519)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.58  
% 0.19/0.58  % (17519)Memory used [KB]: 8827
% 0.19/0.58  % (17519)Time elapsed: 0.176 s
% 0.19/0.58  % (17519)Instructions burned: 42 (million)
% 0.19/0.58  % (17519)------------------------------
% 0.19/0.58  % (17519)------------------------------
% 0.19/0.58  % (17532)Instruction limit reached!
% 0.19/0.58  % (17532)------------------------------
% 0.19/0.58  % (17532)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.58  % (17532)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.58  % (17532)Termination reason: Unknown
% 0.19/0.58  % (17532)Termination phase: Equality resolution with deletion
% 0.19/0.58  
% 0.19/0.58  % (17532)Memory used [KB]: 3454
% 0.19/0.58  % (17532)Time elapsed: 0.015 s
% 0.19/0.58  % (17532)Instructions burned: 24 (million)
% 0.19/0.58  % (17532)------------------------------
% 0.19/0.58  % (17532)------------------------------
% 0.19/0.58  % (17530)Instruction limit reached!
% 0.19/0.58  % (17530)------------------------------
% 0.19/0.58  % (17530)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.58  % (17530)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.58  % (17530)Termination reason: Unknown
% 0.19/0.58  % (17530)Termination phase: Equality resolution with deletion
% 0.19/0.58  
% 0.19/0.58  % (17530)Memory used [KB]: 3709
% 0.19/0.58  % (17530)Time elapsed: 0.012 s
% 0.19/0.58  % (17530)Instructions burned: 25 (million)
% 0.19/0.58  % (17530)------------------------------
% 0.19/0.58  % (17530)------------------------------
% 0.19/0.59  % (17511)Instruction limit reached!
% 0.19/0.59  % (17511)------------------------------
% 0.19/0.59  % (17511)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.59  % (17511)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.59  % (17511)Termination reason: Unknown
% 0.19/0.59  % (17511)Termination phase: Saturation
% 0.19/0.59  
% 0.19/0.59  % (17511)Memory used [KB]: 8059
% 0.19/0.59  % (17511)Time elapsed: 0.029 s
% 0.19/0.59  % (17511)Instructions burned: 49 (million)
% 0.19/0.59  % (17511)------------------------------
% 0.19/0.59  % (17511)------------------------------
% 0.19/0.60  % (17529)Refutation not found, incomplete strategy% (17529)------------------------------
% 0.19/0.60  % (17529)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.60  % (17526)Instruction limit reached!
% 0.19/0.60  % (17526)------------------------------
% 0.19/0.60  % (17526)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.60  % (17509)Instruction limit reached!
% 0.19/0.60  % (17509)------------------------------
% 0.19/0.60  % (17509)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.91/0.61  % (17510)Instruction limit reached!
% 1.91/0.61  % (17510)------------------------------
% 1.91/0.61  % (17510)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.91/0.61  % (17529)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.91/0.61  % (17529)Termination reason: Refutation not found, incomplete strategy
% 1.91/0.61  
% 1.91/0.61  % (17529)Memory used [KB]: 8955
% 1.91/0.61  % (17529)Time elapsed: 0.200 s
% 1.91/0.61  % (17529)Instructions burned: 46 (million)
% 1.91/0.61  % (17529)------------------------------
% 1.91/0.61  % (17529)------------------------------
% 1.91/0.62  % (17527)Instruction limit reached!
% 1.91/0.62  % (17527)------------------------------
% 1.91/0.62  % (17527)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.91/0.62  % (17527)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.91/0.62  % (17527)Termination reason: Unknown
% 1.91/0.62  % (17527)Termination phase: Saturation
% 1.91/0.62  
% 1.91/0.62  % (17527)Memory used [KB]: 8699
% 1.91/0.62  % (17527)Time elapsed: 0.178 s
% 1.91/0.62  % (17527)Instructions burned: 51 (million)
% 1.91/0.62  % (17527)------------------------------
% 1.91/0.62  % (17527)------------------------------
% 1.91/0.62  % (17509)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.91/0.62  % (17509)Termination reason: Unknown
% 1.91/0.62  % (17509)Termination phase: Saturation
% 1.91/0.62  
% 1.91/0.62  % (17509)Memory used [KB]: 7547
% 1.91/0.62  % (17509)Time elapsed: 0.173 s
% 1.91/0.62  % (17509)Instructions burned: 39 (million)
% 1.91/0.62  % (17509)------------------------------
% 1.91/0.62  % (17509)------------------------------
% 1.91/0.62  % (17510)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.91/0.62  % (17510)Termination reason: Unknown
% 1.91/0.62  % (17510)Termination phase: Saturation
% 1.91/0.62  
% 1.91/0.62  % (17510)Memory used [KB]: 4221
% 1.91/0.62  % (17510)Time elapsed: 0.020 s
% 1.91/0.62  % (17510)Instructions burned: 39 (million)
% 1.91/0.62  % (17510)------------------------------
% 1.91/0.62  % (17510)------------------------------
% 1.91/0.62  % (17526)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.91/0.62  % (17526)Termination reason: Unknown
% 1.91/0.62  % (17526)Termination phase: Saturation
% 1.91/0.62  
% 1.91/0.62  % (17526)Memory used [KB]: 4349
% 1.91/0.62  % (17526)Time elapsed: 0.024 s
% 1.91/0.62  % (17526)Instructions burned: 46 (million)
% 1.91/0.62  % (17526)------------------------------
% 1.91/0.62  % (17526)------------------------------
% 1.91/0.62  % (17524)Refutation not found, incomplete strategy% (17524)------------------------------
% 1.91/0.62  % (17524)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.91/0.62  % (17524)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.91/0.62  % (17524)Termination reason: Refutation not found, incomplete strategy
% 1.91/0.62  
% 1.91/0.62  % (17524)Memory used [KB]: 8827
% 1.91/0.62  % (17524)Time elapsed: 0.210 s
% 1.91/0.62  % (17524)Instructions burned: 55 (million)
% 1.91/0.62  % (17524)------------------------------
% 1.91/0.62  % (17524)------------------------------
% 2.15/0.63  % (17516)Instruction limit reached!
% 2.15/0.63  % (17516)------------------------------
% 2.15/0.63  % (17516)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.15/0.63  % (17516)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.15/0.63  % (17516)Termination reason: Unknown
% 2.15/0.63  % (17516)Termination phase: Saturation
% 2.15/0.63  
% 2.15/0.63  % (17516)Memory used [KB]: 7931
% 2.15/0.63  % (17516)Time elapsed: 0.203 s
% 2.15/0.63  % (17516)Instructions burned: 53 (million)
% 2.15/0.63  % (17516)------------------------------
% 2.15/0.63  % (17516)------------------------------
% 2.15/0.63  % (17576)lrs+11_1:1_bd=off:sd=2:sos=all:sp=unary_frequency:ss=axioms:i=87:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/87Mi)
% 2.15/0.64  % (17528)Instruction limit reached!
% 2.15/0.64  % (17528)------------------------------
% 2.15/0.64  % (17528)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.15/0.64  % (17528)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.15/0.64  % (17528)Termination reason: Unknown
% 2.15/0.64  % (17528)Termination phase: Saturation
% 2.15/0.64  
% 2.15/0.64  % (17528)Memory used [KB]: 9083
% 2.15/0.64  % (17528)Time elapsed: 0.221 s
% 2.15/0.64  % (17528)Instructions burned: 95 (million)
% 2.15/0.64  % (17528)------------------------------
% 2.15/0.64  % (17528)------------------------------
% 2.15/0.64  % (17582)lrs+1010_1:1_bd=off:skr=on:ss=axioms:i=56:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/56Mi)
% 2.15/0.65  % (17568)lrs+1010_1:1_afq=1.1:anc=none:bd=off:sd=2:sos=on:ss=axioms:i=92:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/92Mi)
% 2.15/0.65  % (17525)First to succeed.
% 2.15/0.66  % (17575)lrs+1011_1:1_afp=100000:afq=1.4:bd=preordered:cond=fast:fde=unused:gs=on:gsem=on:irw=on:lma=on:nm=16:sd=1:sos=all:sp=const_min:ss=axioms:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/7Mi)
% 2.15/0.66  % (17525)Refutation found. Thanks to Tanya!
% 2.15/0.66  % SZS status Theorem for theBenchmark
% 2.15/0.66  % SZS output start Proof for theBenchmark
% See solution above
% 2.15/0.66  % (17525)------------------------------
% 2.15/0.66  % (17525)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.15/0.66  % (17525)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.15/0.66  % (17525)Termination reason: Refutation
% 2.15/0.66  
% 2.15/0.66  % (17525)Memory used [KB]: 9338
% 2.15/0.66  % (17525)Time elapsed: 0.217 s
% 2.15/0.66  % (17525)Instructions burned: 79 (million)
% 2.15/0.66  % (17525)------------------------------
% 2.15/0.66  % (17525)------------------------------
% 2.15/0.66  % (17502)Success in time 0.297 s
%------------------------------------------------------------------------------