TSTP Solution File: GEO289+1 by Vampire---4.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.9
% Problem  : GEO289+1 : TPTP v8.2.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire %s %d THM

% Computer : n001.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 : Mon Jun 24 06:26:47 EDT 2024

% Result   : Theorem 0.22s 0.47s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   29
%            Number of leaves      :   11
% Syntax   : Number of formulae    :  143 (  42 unt;   0 def)
%            Number of atoms       : 1184 ( 429 equ)
%            Maximal formula atoms :   23 (   8 avg)
%            Number of connectives : 1768 ( 727   ~; 884   |; 147   &)
%                                         (   1 <=>;   9  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   33 (  11 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :   15 (  15 usr;  12 con; 0-3 aty)
%            Number of variables   :  376 ( 333   !;  43   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f809,plain,
    $false,
    inference(subsumption_resolution,[],[f808,f590]) ).

fof(f590,plain,
    ron(sK6,sK11(sK4,sK5,sK6)),
    inference(subsumption_resolution,[],[f589,f384]) ).

fof(f384,plain,
    sQ13_eqProxy(vangle(sK2,sK1,sK3),vangle(sK5,sK4,sK6)),
    inference(equality_proxy_replacement,[],[f257,f377]) ).

fof(f377,plain,
    ! [X0,X1] :
      ( sQ13_eqProxy(X0,X1)
    <=> X0 = X1 ),
    introduced(equality_proxy_definition,[new_symbols(naming,[sQ13_eqProxy])]) ).

fof(f257,plain,
    vangle(sK2,sK1,sK3) = vangle(sK5,sK4,sK6),
    inference(definition_unfolding,[],[f202,f216,f218,f214,f207,f209,f205]) ).

fof(f205,plain,
    vd1165 = sK6,
    inference(cnf_transformation,[],[f189]) ).

fof(f189,plain,
    ( rpoint(sK1)
    & vd1156 = sK1
    & rpoint(sK2)
    & vd1157 = sK2
    & rpoint(sK3)
    & vd1158 = sK3
    & vd1156 != vd1157
    & vd1156 != vd1158
    & vd1158 != vd1157
    & rpoint(sK4)
    & vd1163 = sK4
    & rpoint(sK5)
    & vd1164 = sK5
    & rpoint(sK6)
    & vd1165 = sK6
    & vf(vd1156,vd1157) = vf(vd1163,vd1164)
    & vf(vd1156,vd1158) = vf(vd1163,vd1165)
    & vangle(vd1157,vd1156,vd1158) = vangle(vd1164,vd1163,vd1165)
    & ! [X6] :
        ( ~ rline(X6)
        | ~ ron(vd1163,X6)
        | ~ ron(vd1164,X6)
        | ~ ron(vd1165,X6) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4,sK5,sK6])],[f168,f188,f187,f186,f185,f184,f183]) ).

fof(f183,plain,
    ( ? [X0] :
        ( rpoint(X0)
        & vd1156 = X0 )
   => ( rpoint(sK1)
      & vd1156 = sK1 ) ),
    introduced(choice_axiom,[]) ).

fof(f184,plain,
    ( ? [X1] :
        ( rpoint(X1)
        & vd1157 = X1 )
   => ( rpoint(sK2)
      & vd1157 = sK2 ) ),
    introduced(choice_axiom,[]) ).

fof(f185,plain,
    ( ? [X2] :
        ( rpoint(X2)
        & vd1158 = X2 )
   => ( rpoint(sK3)
      & vd1158 = sK3 ) ),
    introduced(choice_axiom,[]) ).

fof(f186,plain,
    ( ? [X3] :
        ( rpoint(X3)
        & vd1163 = X3 )
   => ( rpoint(sK4)
      & vd1163 = sK4 ) ),
    introduced(choice_axiom,[]) ).

fof(f187,plain,
    ( ? [X4] :
        ( rpoint(X4)
        & vd1164 = X4 )
   => ( rpoint(sK5)
      & vd1164 = sK5 ) ),
    introduced(choice_axiom,[]) ).

fof(f188,plain,
    ( ? [X5] :
        ( rpoint(X5)
        & vd1165 = X5 )
   => ( rpoint(sK6)
      & vd1165 = sK6 ) ),
    introduced(choice_axiom,[]) ).

fof(f168,plain,
    ( ? [X0] :
        ( rpoint(X0)
        & vd1156 = X0 )
    & ? [X1] :
        ( rpoint(X1)
        & vd1157 = X1 )
    & ? [X2] :
        ( rpoint(X2)
        & vd1158 = X2 )
    & vd1156 != vd1157
    & vd1156 != vd1158
    & vd1158 != vd1157
    & ? [X3] :
        ( rpoint(X3)
        & vd1163 = X3 )
    & ? [X4] :
        ( rpoint(X4)
        & vd1164 = X4 )
    & ? [X5] :
        ( rpoint(X5)
        & vd1165 = X5 )
    & vf(vd1156,vd1157) = vf(vd1163,vd1164)
    & vf(vd1156,vd1158) = vf(vd1163,vd1165)
    & vangle(vd1157,vd1156,vd1158) = vangle(vd1164,vd1163,vd1165)
    & ! [X6] :
        ( ~ rline(X6)
        | ~ ron(vd1163,X6)
        | ~ ron(vd1164,X6)
        | ~ ron(vd1165,X6) ) ),
    inference(ennf_transformation,[],[f160]) ).

fof(f160,plain,
    ( ? [X0] :
        ( rpoint(X0)
        & vd1156 = X0 )
    & ? [X1] :
        ( rpoint(X1)
        & vd1157 = X1 )
    & ? [X2] :
        ( rpoint(X2)
        & vd1158 = X2 )
    & vd1156 != vd1157
    & vd1156 != vd1158
    & vd1158 != vd1157
    & ? [X3] :
        ( rpoint(X3)
        & vd1163 = X3 )
    & ? [X4] :
        ( rpoint(X4)
        & vd1164 = X4 )
    & ? [X5] :
        ( rpoint(X5)
        & vd1165 = X5 )
    & vf(vd1156,vd1157) = vf(vd1163,vd1164)
    & vf(vd1156,vd1158) = vf(vd1163,vd1165)
    & vangle(vd1157,vd1156,vd1158) = vangle(vd1164,vd1163,vd1165)
    & ~ ? [X6] :
          ( rline(X6)
          & ron(vd1163,X6)
          & ron(vd1164,X6)
          & ron(vd1165,X6) ) ),
    inference(rectify,[],[f5]) ).

fof(f5,axiom,
    ( ? [X6] :
        ( rpoint(X6)
        & vd1156 = X6 )
    & ? [X5] :
        ( rpoint(X5)
        & vd1157 = X5 )
    & ? [X4] :
        ( rpoint(X4)
        & vd1158 = X4 )
    & vd1156 != vd1157
    & vd1156 != vd1158
    & vd1158 != vd1157
    & ? [X3] :
        ( rpoint(X3)
        & vd1163 = X3 )
    & ? [X2] :
        ( rpoint(X2)
        & vd1164 = X2 )
    & ? [X1] :
        ( rpoint(X1)
        & vd1165 = X1 )
    & vf(vd1156,vd1157) = vf(vd1163,vd1164)
    & vf(vd1156,vd1158) = vf(vd1163,vd1165)
    & vangle(vd1157,vd1156,vd1158) = vangle(vd1164,vd1163,vd1165)
    & ~ ? [X0] :
          ( rline(X0)
          & ron(vd1163,X0)
          & ron(vd1164,X0)
          & ron(vd1165,X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f209,plain,
    vd1163 = sK4,
    inference(cnf_transformation,[],[f189]) ).

fof(f207,plain,
    vd1164 = sK5,
    inference(cnf_transformation,[],[f189]) ).

fof(f214,plain,
    vd1158 = sK3,
    inference(cnf_transformation,[],[f189]) ).

fof(f218,plain,
    vd1156 = sK1,
    inference(cnf_transformation,[],[f189]) ).

fof(f216,plain,
    vd1157 = sK2,
    inference(cnf_transformation,[],[f189]) ).

fof(f202,plain,
    vangle(vd1157,vd1156,vd1158) = vangle(vd1164,vd1163,vd1165),
    inference(cnf_transformation,[],[f189]) ).

fof(f589,plain,
    ( ~ sQ13_eqProxy(vangle(sK2,sK1,sK3),vangle(sK5,sK4,sK6))
    | ron(sK6,sK11(sK4,sK5,sK6)) ),
    inference(subsumption_resolution,[],[f588,f383]) ).

fof(f383,plain,
    sQ13_eqProxy(vf(sK1,sK3),vf(sK4,sK6)),
    inference(equality_proxy_replacement,[],[f256,f377]) ).

fof(f256,plain,
    vf(sK1,sK3) = vf(sK4,sK6),
    inference(definition_unfolding,[],[f203,f218,f214,f209,f205]) ).

fof(f203,plain,
    vf(vd1156,vd1158) = vf(vd1163,vd1165),
    inference(cnf_transformation,[],[f189]) ).

fof(f588,plain,
    ( ~ sQ13_eqProxy(vf(sK1,sK3),vf(sK4,sK6))
    | ~ sQ13_eqProxy(vangle(sK2,sK1,sK3),vangle(sK5,sK4,sK6))
    | ron(sK6,sK11(sK4,sK5,sK6)) ),
    inference(subsumption_resolution,[],[f587,f382]) ).

fof(f382,plain,
    sQ13_eqProxy(vf(sK1,sK2),vf(sK4,sK5)),
    inference(equality_proxy_replacement,[],[f255,f377]) ).

fof(f255,plain,
    vf(sK1,sK2) = vf(sK4,sK5),
    inference(definition_unfolding,[],[f204,f218,f216,f209,f207]) ).

fof(f204,plain,
    vf(vd1156,vd1157) = vf(vd1163,vd1164),
    inference(cnf_transformation,[],[f189]) ).

fof(f587,plain,
    ( ~ sQ13_eqProxy(vf(sK1,sK2),vf(sK4,sK5))
    | ~ sQ13_eqProxy(vf(sK1,sK3),vf(sK4,sK6))
    | ~ sQ13_eqProxy(vangle(sK2,sK1,sK3),vangle(sK5,sK4,sK6))
    | ron(sK6,sK11(sK4,sK5,sK6)) ),
    inference(subsumption_resolution,[],[f586,f206]) ).

fof(f206,plain,
    rpoint(sK6),
    inference(cnf_transformation,[],[f189]) ).

fof(f586,plain,
    ( ~ rpoint(sK6)
    | ~ sQ13_eqProxy(vf(sK1,sK2),vf(sK4,sK5))
    | ~ sQ13_eqProxy(vf(sK1,sK3),vf(sK4,sK6))
    | ~ sQ13_eqProxy(vangle(sK2,sK1,sK3),vangle(sK5,sK4,sK6))
    | ron(sK6,sK11(sK4,sK5,sK6)) ),
    inference(subsumption_resolution,[],[f585,f208]) ).

fof(f208,plain,
    rpoint(sK5),
    inference(cnf_transformation,[],[f189]) ).

fof(f585,plain,
    ( ~ rpoint(sK5)
    | ~ rpoint(sK6)
    | ~ sQ13_eqProxy(vf(sK1,sK2),vf(sK4,sK5))
    | ~ sQ13_eqProxy(vf(sK1,sK3),vf(sK4,sK6))
    | ~ sQ13_eqProxy(vangle(sK2,sK1,sK3),vangle(sK5,sK4,sK6))
    | ron(sK6,sK11(sK4,sK5,sK6)) ),
    inference(subsumption_resolution,[],[f584,f210]) ).

fof(f210,plain,
    rpoint(sK4),
    inference(cnf_transformation,[],[f189]) ).

fof(f584,plain,
    ( ~ rpoint(sK4)
    | ~ rpoint(sK5)
    | ~ rpoint(sK6)
    | ~ sQ13_eqProxy(vf(sK1,sK2),vf(sK4,sK5))
    | ~ sQ13_eqProxy(vf(sK1,sK3),vf(sK4,sK6))
    | ~ sQ13_eqProxy(vangle(sK2,sK1,sK3),vangle(sK5,sK4,sK6))
    | ron(sK6,sK11(sK4,sK5,sK6)) ),
    inference(subsumption_resolution,[],[f583,f381]) ).

fof(f381,plain,
    ~ sQ13_eqProxy(sK2,sK3),
    inference(equality_proxy_replacement,[],[f254,f377]) ).

fof(f254,plain,
    sK2 != sK3,
    inference(definition_unfolding,[],[f211,f214,f216]) ).

fof(f211,plain,
    vd1158 != vd1157,
    inference(cnf_transformation,[],[f189]) ).

fof(f583,plain,
    ( sQ13_eqProxy(sK2,sK3)
    | ~ rpoint(sK4)
    | ~ rpoint(sK5)
    | ~ rpoint(sK6)
    | ~ sQ13_eqProxy(vf(sK1,sK2),vf(sK4,sK5))
    | ~ sQ13_eqProxy(vf(sK1,sK3),vf(sK4,sK6))
    | ~ sQ13_eqProxy(vangle(sK2,sK1,sK3),vangle(sK5,sK4,sK6))
    | ron(sK6,sK11(sK4,sK5,sK6)) ),
    inference(subsumption_resolution,[],[f582,f380]) ).

fof(f380,plain,
    ~ sQ13_eqProxy(sK1,sK3),
    inference(equality_proxy_replacement,[],[f253,f377]) ).

fof(f253,plain,
    sK1 != sK3,
    inference(definition_unfolding,[],[f212,f218,f214]) ).

fof(f212,plain,
    vd1156 != vd1158,
    inference(cnf_transformation,[],[f189]) ).

fof(f582,plain,
    ( sQ13_eqProxy(sK1,sK3)
    | sQ13_eqProxy(sK2,sK3)
    | ~ rpoint(sK4)
    | ~ rpoint(sK5)
    | ~ rpoint(sK6)
    | ~ sQ13_eqProxy(vf(sK1,sK2),vf(sK4,sK5))
    | ~ sQ13_eqProxy(vf(sK1,sK3),vf(sK4,sK6))
    | ~ sQ13_eqProxy(vangle(sK2,sK1,sK3),vangle(sK5,sK4,sK6))
    | ron(sK6,sK11(sK4,sK5,sK6)) ),
    inference(subsumption_resolution,[],[f581,f379]) ).

fof(f379,plain,
    ~ sQ13_eqProxy(sK1,sK2),
    inference(equality_proxy_replacement,[],[f252,f377]) ).

fof(f252,plain,
    sK1 != sK2,
    inference(definition_unfolding,[],[f213,f218,f216]) ).

fof(f213,plain,
    vd1156 != vd1157,
    inference(cnf_transformation,[],[f189]) ).

fof(f581,plain,
    ( sQ13_eqProxy(sK1,sK2)
    | sQ13_eqProxy(sK1,sK3)
    | sQ13_eqProxy(sK2,sK3)
    | ~ rpoint(sK4)
    | ~ rpoint(sK5)
    | ~ rpoint(sK6)
    | ~ sQ13_eqProxy(vf(sK1,sK2),vf(sK4,sK5))
    | ~ sQ13_eqProxy(vf(sK1,sK3),vf(sK4,sK6))
    | ~ sQ13_eqProxy(vangle(sK2,sK1,sK3),vangle(sK5,sK4,sK6))
    | ron(sK6,sK11(sK4,sK5,sK6)) ),
    inference(subsumption_resolution,[],[f580,f215]) ).

fof(f215,plain,
    rpoint(sK3),
    inference(cnf_transformation,[],[f189]) ).

fof(f580,plain,
    ( ~ rpoint(sK3)
    | sQ13_eqProxy(sK1,sK2)
    | sQ13_eqProxy(sK1,sK3)
    | sQ13_eqProxy(sK2,sK3)
    | ~ rpoint(sK4)
    | ~ rpoint(sK5)
    | ~ rpoint(sK6)
    | ~ sQ13_eqProxy(vf(sK1,sK2),vf(sK4,sK5))
    | ~ sQ13_eqProxy(vf(sK1,sK3),vf(sK4,sK6))
    | ~ sQ13_eqProxy(vangle(sK2,sK1,sK3),vangle(sK5,sK4,sK6))
    | ron(sK6,sK11(sK4,sK5,sK6)) ),
    inference(subsumption_resolution,[],[f579,f217]) ).

fof(f217,plain,
    rpoint(sK2),
    inference(cnf_transformation,[],[f189]) ).

fof(f579,plain,
    ( ~ rpoint(sK2)
    | ~ rpoint(sK3)
    | sQ13_eqProxy(sK1,sK2)
    | sQ13_eqProxy(sK1,sK3)
    | sQ13_eqProxy(sK2,sK3)
    | ~ rpoint(sK4)
    | ~ rpoint(sK5)
    | ~ rpoint(sK6)
    | ~ sQ13_eqProxy(vf(sK1,sK2),vf(sK4,sK5))
    | ~ sQ13_eqProxy(vf(sK1,sK3),vf(sK4,sK6))
    | ~ sQ13_eqProxy(vangle(sK2,sK1,sK3),vangle(sK5,sK4,sK6))
    | ron(sK6,sK11(sK4,sK5,sK6)) ),
    inference(subsumption_resolution,[],[f420,f219]) ).

fof(f219,plain,
    rpoint(sK1),
    inference(cnf_transformation,[],[f189]) ).

fof(f420,plain,
    ( ~ rpoint(sK1)
    | ~ rpoint(sK2)
    | ~ rpoint(sK3)
    | sQ13_eqProxy(sK1,sK2)
    | sQ13_eqProxy(sK1,sK3)
    | sQ13_eqProxy(sK2,sK3)
    | ~ rpoint(sK4)
    | ~ rpoint(sK5)
    | ~ rpoint(sK6)
    | ~ sQ13_eqProxy(vf(sK1,sK2),vf(sK4,sK5))
    | ~ sQ13_eqProxy(vf(sK1,sK3),vf(sK4,sK6))
    | ~ sQ13_eqProxy(vangle(sK2,sK1,sK3),vangle(sK5,sK4,sK6))
    | ron(sK6,sK11(sK4,sK5,sK6)) ),
    inference(resolution,[],[f378,f405]) ).

fof(f405,plain,
    ! [X10,X11,X8,X6,X9,X7] :
      ( sQ13_eqProxy(vangle(X6,X8,X7),vangle(X9,X11,X10))
      | ~ rpoint(X6)
      | ~ rpoint(X7)
      | ~ rpoint(X8)
      | sQ13_eqProxy(X6,X7)
      | sQ13_eqProxy(X6,X8)
      | sQ13_eqProxy(X7,X8)
      | ~ rpoint(X9)
      | ~ rpoint(X10)
      | ~ rpoint(X11)
      | ~ sQ13_eqProxy(vf(X6,X7),vf(X9,X10))
      | ~ sQ13_eqProxy(vf(X6,X8),vf(X9,X11))
      | ~ sQ13_eqProxy(vangle(X7,X6,X8),vangle(X10,X9,X11))
      | ron(X11,sK11(X9,X10,X11)) ),
    inference(equality_proxy_replacement,[],[f349,f377,f377,f377,f377,f377,f377,f377]) ).

fof(f349,plain,
    ! [X10,X11,X8,X6,X9,X7] :
      ( vangle(X6,X8,X7) = vangle(X9,X11,X10)
      | ~ rpoint(X6)
      | ~ rpoint(X7)
      | ~ rpoint(X8)
      | X6 = X7
      | X6 = X8
      | X7 = X8
      | ~ rpoint(X9)
      | ~ rpoint(X10)
      | ~ rpoint(X11)
      | vf(X6,X7) != vf(X9,X10)
      | vf(X6,X8) != vf(X9,X11)
      | vangle(X7,X6,X8) != vangle(X10,X9,X11)
      | ron(X11,sK11(X9,X10,X11)) ),
    inference(equality_resolution,[],[f348]) ).

fof(f348,plain,
    ! [X10,X11,X8,X6,X9,X7,X5] :
      ( vangle(X6,X8,X7) = vangle(X9,X5,X10)
      | ~ rpoint(X6)
      | ~ rpoint(X7)
      | ~ rpoint(X8)
      | X6 = X7
      | X6 = X8
      | X7 = X8
      | ~ rpoint(X9)
      | ~ rpoint(X10)
      | ~ rpoint(X11)
      | X5 != X11
      | vf(X6,X7) != vf(X9,X10)
      | vf(X6,X8) != vf(X9,X5)
      | vangle(X7,X6,X8) != vangle(X10,X9,X5)
      | ron(X5,sK11(X9,X10,X5)) ),
    inference(equality_resolution,[],[f347]) ).

fof(f347,plain,
    ! [X10,X11,X8,X6,X9,X7,X4,X5] :
      ( vangle(X6,X8,X7) = vangle(X9,X5,X4)
      | ~ rpoint(X6)
      | ~ rpoint(X7)
      | ~ rpoint(X8)
      | X6 = X7
      | X6 = X8
      | X7 = X8
      | ~ rpoint(X9)
      | ~ rpoint(X10)
      | X4 != X10
      | ~ rpoint(X11)
      | X5 != X11
      | vf(X6,X7) != vf(X9,X4)
      | vf(X6,X8) != vf(X9,X5)
      | vangle(X7,X6,X8) != vangle(X4,X9,X5)
      | ron(X5,sK11(X9,X4,X5)) ),
    inference(equality_resolution,[],[f346]) ).

fof(f346,plain,
    ! [X3,X10,X11,X8,X6,X9,X7,X4,X5] :
      ( vangle(X3,X5,X4) = vangle(X6,X8,X7)
      | ~ rpoint(X6)
      | ~ rpoint(X7)
      | ~ rpoint(X8)
      | X6 = X7
      | X6 = X8
      | X7 = X8
      | ~ rpoint(X9)
      | X3 != X9
      | ~ rpoint(X10)
      | X4 != X10
      | ~ rpoint(X11)
      | X5 != X11
      | vf(X6,X7) != vf(X3,X4)
      | vf(X3,X5) != vf(X6,X8)
      | vangle(X4,X3,X5) != vangle(X7,X6,X8)
      | ron(X5,sK11(X3,X4,X5)) ),
    inference(equality_resolution,[],[f345]) ).

fof(f345,plain,
    ! [X2,X3,X10,X11,X8,X6,X9,X7,X4,X5] :
      ( vangle(X3,X5,X4) = vangle(X6,X2,X7)
      | ~ rpoint(X6)
      | ~ rpoint(X7)
      | ~ rpoint(X8)
      | X2 != X8
      | X6 = X7
      | X2 = X6
      | X2 = X7
      | ~ rpoint(X9)
      | X3 != X9
      | ~ rpoint(X10)
      | X4 != X10
      | ~ rpoint(X11)
      | X5 != X11
      | vf(X6,X7) != vf(X3,X4)
      | vf(X3,X5) != vf(X6,X2)
      | vangle(X4,X3,X5) != vangle(X7,X6,X2)
      | ron(X5,sK11(X3,X4,X5)) ),
    inference(equality_resolution,[],[f344]) ).

fof(f344,plain,
    ! [X2,X3,X10,X11,X1,X8,X6,X9,X7,X4,X5] :
      ( vangle(X3,X5,X4) = vangle(X6,X2,X1)
      | ~ rpoint(X6)
      | ~ rpoint(X7)
      | X1 != X7
      | ~ rpoint(X8)
      | X2 != X8
      | X1 = X6
      | X2 = X6
      | X1 = X2
      | ~ rpoint(X9)
      | X3 != X9
      | ~ rpoint(X10)
      | X4 != X10
      | ~ rpoint(X11)
      | X5 != X11
      | vf(X3,X4) != vf(X6,X1)
      | vf(X3,X5) != vf(X6,X2)
      | vangle(X4,X3,X5) != vangle(X1,X6,X2)
      | ron(X5,sK11(X3,X4,X5)) ),
    inference(equality_resolution,[],[f242]) ).

fof(f242,plain,
    ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
      ( vangle(X0,X2,X1) = vangle(X3,X5,X4)
      | ~ rpoint(X6)
      | X0 != X6
      | ~ rpoint(X7)
      | X1 != X7
      | ~ rpoint(X8)
      | X2 != X8
      | X0 = X1
      | X0 = X2
      | X1 = X2
      | ~ rpoint(X9)
      | X3 != X9
      | ~ rpoint(X10)
      | X4 != X10
      | ~ rpoint(X11)
      | X5 != X11
      | vf(X0,X1) != vf(X3,X4)
      | vf(X0,X2) != vf(X3,X5)
      | vangle(X1,X0,X2) != vangle(X4,X3,X5)
      | ron(X5,sK11(X3,X4,X5)) ),
    inference(cnf_transformation,[],[f197]) ).

fof(f197,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( vangle(X0,X2,X1) = vangle(X3,X5,X4)
      | ! [X6] :
          ( ~ rpoint(X6)
          | X0 != X6 )
      | ! [X7] :
          ( ~ rpoint(X7)
          | X1 != X7 )
      | ! [X8] :
          ( ~ rpoint(X8)
          | X2 != X8 )
      | X0 = X1
      | X0 = X2
      | X1 = X2
      | ! [X9] :
          ( ~ rpoint(X9)
          | X3 != X9 )
      | ! [X10] :
          ( ~ rpoint(X10)
          | X4 != X10 )
      | ! [X11] :
          ( ~ rpoint(X11)
          | X5 != X11 )
      | vf(X0,X1) != vf(X3,X4)
      | vf(X0,X2) != vf(X3,X5)
      | vangle(X1,X0,X2) != vangle(X4,X3,X5)
      | ( rline(sK11(X3,X4,X5))
        & ron(X3,sK11(X3,X4,X5))
        & ron(X4,sK11(X3,X4,X5))
        & ron(X5,sK11(X3,X4,X5)) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f176,f196]) ).

fof(f196,plain,
    ! [X3,X4,X5] :
      ( ? [X12] :
          ( rline(X12)
          & ron(X3,X12)
          & ron(X4,X12)
          & ron(X5,X12) )
     => ( rline(sK11(X3,X4,X5))
        & ron(X3,sK11(X3,X4,X5))
        & ron(X4,sK11(X3,X4,X5))
        & ron(X5,sK11(X3,X4,X5)) ) ),
    introduced(choice_axiom,[]) ).

fof(f176,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( vangle(X0,X2,X1) = vangle(X3,X5,X4)
      | ! [X6] :
          ( ~ rpoint(X6)
          | X0 != X6 )
      | ! [X7] :
          ( ~ rpoint(X7)
          | X1 != X7 )
      | ! [X8] :
          ( ~ rpoint(X8)
          | X2 != X8 )
      | X0 = X1
      | X0 = X2
      | X1 = X2
      | ! [X9] :
          ( ~ rpoint(X9)
          | X3 != X9 )
      | ! [X10] :
          ( ~ rpoint(X10)
          | X4 != X10 )
      | ! [X11] :
          ( ~ rpoint(X11)
          | X5 != X11 )
      | vf(X0,X1) != vf(X3,X4)
      | vf(X0,X2) != vf(X3,X5)
      | vangle(X1,X0,X2) != vangle(X4,X3,X5)
      | ? [X12] :
          ( rline(X12)
          & ron(X3,X12)
          & ron(X4,X12)
          & ron(X5,X12) ) ),
    inference(flattening,[],[f175]) ).

fof(f175,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( vangle(X0,X2,X1) = vangle(X3,X5,X4)
      | ! [X6] :
          ( ~ rpoint(X6)
          | X0 != X6 )
      | ! [X7] :
          ( ~ rpoint(X7)
          | X1 != X7 )
      | ! [X8] :
          ( ~ rpoint(X8)
          | X2 != X8 )
      | X0 = X1
      | X0 = X2
      | X1 = X2
      | ! [X9] :
          ( ~ rpoint(X9)
          | X3 != X9 )
      | ! [X10] :
          ( ~ rpoint(X10)
          | X4 != X10 )
      | ! [X11] :
          ( ~ rpoint(X11)
          | X5 != X11 )
      | vf(X0,X1) != vf(X3,X4)
      | vf(X0,X2) != vf(X3,X5)
      | vangle(X1,X0,X2) != vangle(X4,X3,X5)
      | ? [X12] :
          ( rline(X12)
          & ron(X3,X12)
          & ron(X4,X12)
          & ron(X5,X12) ) ),
    inference(ennf_transformation,[],[f164]) ).

fof(f164,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ( ? [X6] :
            ( rpoint(X6)
            & X0 = X6 )
        & ? [X7] :
            ( rpoint(X7)
            & X1 = X7 )
        & ? [X8] :
            ( rpoint(X8)
            & X2 = X8 )
        & X0 != X1
        & X0 != X2
        & X1 != X2
        & ? [X9] :
            ( rpoint(X9)
            & X3 = X9 )
        & ? [X10] :
            ( rpoint(X10)
            & X4 = X10 )
        & ? [X11] :
            ( rpoint(X11)
            & X5 = X11 )
        & vf(X0,X1) = vf(X3,X4)
        & vf(X0,X2) = vf(X3,X5)
        & vangle(X1,X0,X2) = vangle(X4,X3,X5)
        & ~ ? [X12] :
              ( rline(X12)
              & ron(X3,X12)
              & ron(X4,X12)
              & ron(X5,X12) ) )
     => vangle(X0,X2,X1) = vangle(X3,X5,X4) ),
    inference(rectify,[],[f6]) ).

fof(f6,axiom,
    ! [X7,X8,X9,X10,X11,X12] :
      ( ( ? [X19] :
            ( rpoint(X19)
            & X7 = X19 )
        & ? [X18] :
            ( rpoint(X18)
            & X8 = X18 )
        & ? [X17] :
            ( rpoint(X17)
            & X9 = X17 )
        & X7 != X8
        & X7 != X9
        & X8 != X9
        & ? [X16] :
            ( rpoint(X16)
            & X10 = X16 )
        & ? [X15] :
            ( rpoint(X15)
            & X11 = X15 )
        & ? [X14] :
            ( rpoint(X14)
            & X12 = X14 )
        & vf(X7,X8) = vf(X10,X11)
        & vf(X7,X9) = vf(X10,X12)
        & vangle(X8,X7,X9) = vangle(X11,X10,X12)
        & ~ ? [X13] :
              ( rline(X13)
              & ron(X10,X13)
              & ron(X11,X13)
              & ron(X12,X13) ) )
     => vangle(X10,X12,X11) = vangle(X7,X9,X8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f378,plain,
    ~ sQ13_eqProxy(vangle(sK1,sK3,sK2),vangle(sK4,sK6,sK5)),
    inference(equality_proxy_replacement,[],[f251,f377]) ).

fof(f251,plain,
    vangle(sK1,sK3,sK2) != vangle(sK4,sK6,sK5),
    inference(definition_unfolding,[],[f200,f218,f214,f216,f209,f205,f207]) ).

fof(f200,plain,
    vangle(vd1156,vd1158,vd1157) != vangle(vd1163,vd1165,vd1164),
    inference(cnf_transformation,[],[f159]) ).

fof(f159,plain,
    vangle(vd1156,vd1158,vd1157) != vangle(vd1163,vd1165,vd1164),
    inference(flattening,[],[f2]) ).

fof(f2,negated_conjecture,
    vangle(vd1156,vd1158,vd1157) != vangle(vd1163,vd1165,vd1164),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    vangle(vd1156,vd1158,vd1157) = vangle(vd1163,vd1165,vd1164),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f808,plain,
    ~ ron(sK6,sK11(sK4,sK5,sK6)),
    inference(subsumption_resolution,[],[f807,f578]) ).

fof(f578,plain,
    ron(sK5,sK11(sK4,sK5,sK6)),
    inference(subsumption_resolution,[],[f577,f384]) ).

fof(f577,plain,
    ( ~ sQ13_eqProxy(vangle(sK2,sK1,sK3),vangle(sK5,sK4,sK6))
    | ron(sK5,sK11(sK4,sK5,sK6)) ),
    inference(subsumption_resolution,[],[f576,f383]) ).

fof(f576,plain,
    ( ~ sQ13_eqProxy(vf(sK1,sK3),vf(sK4,sK6))
    | ~ sQ13_eqProxy(vangle(sK2,sK1,sK3),vangle(sK5,sK4,sK6))
    | ron(sK5,sK11(sK4,sK5,sK6)) ),
    inference(subsumption_resolution,[],[f575,f382]) ).

fof(f575,plain,
    ( ~ sQ13_eqProxy(vf(sK1,sK2),vf(sK4,sK5))
    | ~ sQ13_eqProxy(vf(sK1,sK3),vf(sK4,sK6))
    | ~ sQ13_eqProxy(vangle(sK2,sK1,sK3),vangle(sK5,sK4,sK6))
    | ron(sK5,sK11(sK4,sK5,sK6)) ),
    inference(subsumption_resolution,[],[f574,f206]) ).

fof(f574,plain,
    ( ~ rpoint(sK6)
    | ~ sQ13_eqProxy(vf(sK1,sK2),vf(sK4,sK5))
    | ~ sQ13_eqProxy(vf(sK1,sK3),vf(sK4,sK6))
    | ~ sQ13_eqProxy(vangle(sK2,sK1,sK3),vangle(sK5,sK4,sK6))
    | ron(sK5,sK11(sK4,sK5,sK6)) ),
    inference(subsumption_resolution,[],[f573,f208]) ).

fof(f573,plain,
    ( ~ rpoint(sK5)
    | ~ rpoint(sK6)
    | ~ sQ13_eqProxy(vf(sK1,sK2),vf(sK4,sK5))
    | ~ sQ13_eqProxy(vf(sK1,sK3),vf(sK4,sK6))
    | ~ sQ13_eqProxy(vangle(sK2,sK1,sK3),vangle(sK5,sK4,sK6))
    | ron(sK5,sK11(sK4,sK5,sK6)) ),
    inference(subsumption_resolution,[],[f572,f210]) ).

fof(f572,plain,
    ( ~ rpoint(sK4)
    | ~ rpoint(sK5)
    | ~ rpoint(sK6)
    | ~ sQ13_eqProxy(vf(sK1,sK2),vf(sK4,sK5))
    | ~ sQ13_eqProxy(vf(sK1,sK3),vf(sK4,sK6))
    | ~ sQ13_eqProxy(vangle(sK2,sK1,sK3),vangle(sK5,sK4,sK6))
    | ron(sK5,sK11(sK4,sK5,sK6)) ),
    inference(subsumption_resolution,[],[f571,f381]) ).

fof(f571,plain,
    ( sQ13_eqProxy(sK2,sK3)
    | ~ rpoint(sK4)
    | ~ rpoint(sK5)
    | ~ rpoint(sK6)
    | ~ sQ13_eqProxy(vf(sK1,sK2),vf(sK4,sK5))
    | ~ sQ13_eqProxy(vf(sK1,sK3),vf(sK4,sK6))
    | ~ sQ13_eqProxy(vangle(sK2,sK1,sK3),vangle(sK5,sK4,sK6))
    | ron(sK5,sK11(sK4,sK5,sK6)) ),
    inference(subsumption_resolution,[],[f570,f380]) ).

fof(f570,plain,
    ( sQ13_eqProxy(sK1,sK3)
    | sQ13_eqProxy(sK2,sK3)
    | ~ rpoint(sK4)
    | ~ rpoint(sK5)
    | ~ rpoint(sK6)
    | ~ sQ13_eqProxy(vf(sK1,sK2),vf(sK4,sK5))
    | ~ sQ13_eqProxy(vf(sK1,sK3),vf(sK4,sK6))
    | ~ sQ13_eqProxy(vangle(sK2,sK1,sK3),vangle(sK5,sK4,sK6))
    | ron(sK5,sK11(sK4,sK5,sK6)) ),
    inference(subsumption_resolution,[],[f569,f379]) ).

fof(f569,plain,
    ( sQ13_eqProxy(sK1,sK2)
    | sQ13_eqProxy(sK1,sK3)
    | sQ13_eqProxy(sK2,sK3)
    | ~ rpoint(sK4)
    | ~ rpoint(sK5)
    | ~ rpoint(sK6)
    | ~ sQ13_eqProxy(vf(sK1,sK2),vf(sK4,sK5))
    | ~ sQ13_eqProxy(vf(sK1,sK3),vf(sK4,sK6))
    | ~ sQ13_eqProxy(vangle(sK2,sK1,sK3),vangle(sK5,sK4,sK6))
    | ron(sK5,sK11(sK4,sK5,sK6)) ),
    inference(subsumption_resolution,[],[f568,f215]) ).

fof(f568,plain,
    ( ~ rpoint(sK3)
    | sQ13_eqProxy(sK1,sK2)
    | sQ13_eqProxy(sK1,sK3)
    | sQ13_eqProxy(sK2,sK3)
    | ~ rpoint(sK4)
    | ~ rpoint(sK5)
    | ~ rpoint(sK6)
    | ~ sQ13_eqProxy(vf(sK1,sK2),vf(sK4,sK5))
    | ~ sQ13_eqProxy(vf(sK1,sK3),vf(sK4,sK6))
    | ~ sQ13_eqProxy(vangle(sK2,sK1,sK3),vangle(sK5,sK4,sK6))
    | ron(sK5,sK11(sK4,sK5,sK6)) ),
    inference(subsumption_resolution,[],[f567,f217]) ).

fof(f567,plain,
    ( ~ rpoint(sK2)
    | ~ rpoint(sK3)
    | sQ13_eqProxy(sK1,sK2)
    | sQ13_eqProxy(sK1,sK3)
    | sQ13_eqProxy(sK2,sK3)
    | ~ rpoint(sK4)
    | ~ rpoint(sK5)
    | ~ rpoint(sK6)
    | ~ sQ13_eqProxy(vf(sK1,sK2),vf(sK4,sK5))
    | ~ sQ13_eqProxy(vf(sK1,sK3),vf(sK4,sK6))
    | ~ sQ13_eqProxy(vangle(sK2,sK1,sK3),vangle(sK5,sK4,sK6))
    | ron(sK5,sK11(sK4,sK5,sK6)) ),
    inference(subsumption_resolution,[],[f419,f219]) ).

fof(f419,plain,
    ( ~ rpoint(sK1)
    | ~ rpoint(sK2)
    | ~ rpoint(sK3)
    | sQ13_eqProxy(sK1,sK2)
    | sQ13_eqProxy(sK1,sK3)
    | sQ13_eqProxy(sK2,sK3)
    | ~ rpoint(sK4)
    | ~ rpoint(sK5)
    | ~ rpoint(sK6)
    | ~ sQ13_eqProxy(vf(sK1,sK2),vf(sK4,sK5))
    | ~ sQ13_eqProxy(vf(sK1,sK3),vf(sK4,sK6))
    | ~ sQ13_eqProxy(vangle(sK2,sK1,sK3),vangle(sK5,sK4,sK6))
    | ron(sK5,sK11(sK4,sK5,sK6)) ),
    inference(resolution,[],[f378,f404]) ).

fof(f404,plain,
    ! [X10,X11,X8,X6,X9,X7] :
      ( sQ13_eqProxy(vangle(X6,X8,X7),vangle(X9,X11,X10))
      | ~ rpoint(X6)
      | ~ rpoint(X7)
      | ~ rpoint(X8)
      | sQ13_eqProxy(X6,X7)
      | sQ13_eqProxy(X6,X8)
      | sQ13_eqProxy(X7,X8)
      | ~ rpoint(X9)
      | ~ rpoint(X10)
      | ~ rpoint(X11)
      | ~ sQ13_eqProxy(vf(X6,X7),vf(X9,X10))
      | ~ sQ13_eqProxy(vf(X6,X8),vf(X9,X11))
      | ~ sQ13_eqProxy(vangle(X7,X6,X8),vangle(X10,X9,X11))
      | ron(X10,sK11(X9,X10,X11)) ),
    inference(equality_proxy_replacement,[],[f343,f377,f377,f377,f377,f377,f377,f377]) ).

fof(f343,plain,
    ! [X10,X11,X8,X6,X9,X7] :
      ( vangle(X6,X8,X7) = vangle(X9,X11,X10)
      | ~ rpoint(X6)
      | ~ rpoint(X7)
      | ~ rpoint(X8)
      | X6 = X7
      | X6 = X8
      | X7 = X8
      | ~ rpoint(X9)
      | ~ rpoint(X10)
      | ~ rpoint(X11)
      | vf(X6,X7) != vf(X9,X10)
      | vf(X6,X8) != vf(X9,X11)
      | vangle(X7,X6,X8) != vangle(X10,X9,X11)
      | ron(X10,sK11(X9,X10,X11)) ),
    inference(equality_resolution,[],[f342]) ).

fof(f342,plain,
    ! [X10,X11,X8,X6,X9,X7,X5] :
      ( vangle(X6,X8,X7) = vangle(X9,X5,X10)
      | ~ rpoint(X6)
      | ~ rpoint(X7)
      | ~ rpoint(X8)
      | X6 = X7
      | X6 = X8
      | X7 = X8
      | ~ rpoint(X9)
      | ~ rpoint(X10)
      | ~ rpoint(X11)
      | X5 != X11
      | vf(X6,X7) != vf(X9,X10)
      | vf(X6,X8) != vf(X9,X5)
      | vangle(X7,X6,X8) != vangle(X10,X9,X5)
      | ron(X10,sK11(X9,X10,X5)) ),
    inference(equality_resolution,[],[f341]) ).

fof(f341,plain,
    ! [X10,X11,X8,X6,X9,X7,X4,X5] :
      ( vangle(X6,X8,X7) = vangle(X9,X5,X4)
      | ~ rpoint(X6)
      | ~ rpoint(X7)
      | ~ rpoint(X8)
      | X6 = X7
      | X6 = X8
      | X7 = X8
      | ~ rpoint(X9)
      | ~ rpoint(X10)
      | X4 != X10
      | ~ rpoint(X11)
      | X5 != X11
      | vf(X6,X7) != vf(X9,X4)
      | vf(X6,X8) != vf(X9,X5)
      | vangle(X7,X6,X8) != vangle(X4,X9,X5)
      | ron(X4,sK11(X9,X4,X5)) ),
    inference(equality_resolution,[],[f340]) ).

fof(f340,plain,
    ! [X3,X10,X11,X8,X6,X9,X7,X4,X5] :
      ( vangle(X3,X5,X4) = vangle(X6,X8,X7)
      | ~ rpoint(X6)
      | ~ rpoint(X7)
      | ~ rpoint(X8)
      | X6 = X7
      | X6 = X8
      | X7 = X8
      | ~ rpoint(X9)
      | X3 != X9
      | ~ rpoint(X10)
      | X4 != X10
      | ~ rpoint(X11)
      | X5 != X11
      | vf(X6,X7) != vf(X3,X4)
      | vf(X3,X5) != vf(X6,X8)
      | vangle(X4,X3,X5) != vangle(X7,X6,X8)
      | ron(X4,sK11(X3,X4,X5)) ),
    inference(equality_resolution,[],[f339]) ).

fof(f339,plain,
    ! [X2,X3,X10,X11,X8,X6,X9,X7,X4,X5] :
      ( vangle(X3,X5,X4) = vangle(X6,X2,X7)
      | ~ rpoint(X6)
      | ~ rpoint(X7)
      | ~ rpoint(X8)
      | X2 != X8
      | X6 = X7
      | X2 = X6
      | X2 = X7
      | ~ rpoint(X9)
      | X3 != X9
      | ~ rpoint(X10)
      | X4 != X10
      | ~ rpoint(X11)
      | X5 != X11
      | vf(X6,X7) != vf(X3,X4)
      | vf(X3,X5) != vf(X6,X2)
      | vangle(X4,X3,X5) != vangle(X7,X6,X2)
      | ron(X4,sK11(X3,X4,X5)) ),
    inference(equality_resolution,[],[f338]) ).

fof(f338,plain,
    ! [X2,X3,X10,X11,X1,X8,X6,X9,X7,X4,X5] :
      ( vangle(X3,X5,X4) = vangle(X6,X2,X1)
      | ~ rpoint(X6)
      | ~ rpoint(X7)
      | X1 != X7
      | ~ rpoint(X8)
      | X2 != X8
      | X1 = X6
      | X2 = X6
      | X1 = X2
      | ~ rpoint(X9)
      | X3 != X9
      | ~ rpoint(X10)
      | X4 != X10
      | ~ rpoint(X11)
      | X5 != X11
      | vf(X3,X4) != vf(X6,X1)
      | vf(X3,X5) != vf(X6,X2)
      | vangle(X4,X3,X5) != vangle(X1,X6,X2)
      | ron(X4,sK11(X3,X4,X5)) ),
    inference(equality_resolution,[],[f243]) ).

fof(f243,plain,
    ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
      ( vangle(X0,X2,X1) = vangle(X3,X5,X4)
      | ~ rpoint(X6)
      | X0 != X6
      | ~ rpoint(X7)
      | X1 != X7
      | ~ rpoint(X8)
      | X2 != X8
      | X0 = X1
      | X0 = X2
      | X1 = X2
      | ~ rpoint(X9)
      | X3 != X9
      | ~ rpoint(X10)
      | X4 != X10
      | ~ rpoint(X11)
      | X5 != X11
      | vf(X0,X1) != vf(X3,X4)
      | vf(X0,X2) != vf(X3,X5)
      | vangle(X1,X0,X2) != vangle(X4,X3,X5)
      | ron(X4,sK11(X3,X4,X5)) ),
    inference(cnf_transformation,[],[f197]) ).

fof(f807,plain,
    ( ~ ron(sK5,sK11(sK4,sK5,sK6))
    | ~ ron(sK6,sK11(sK4,sK5,sK6)) ),
    inference(subsumption_resolution,[],[f795,f566]) ).

fof(f566,plain,
    ron(sK4,sK11(sK4,sK5,sK6)),
    inference(subsumption_resolution,[],[f565,f384]) ).

fof(f565,plain,
    ( ~ sQ13_eqProxy(vangle(sK2,sK1,sK3),vangle(sK5,sK4,sK6))
    | ron(sK4,sK11(sK4,sK5,sK6)) ),
    inference(subsumption_resolution,[],[f564,f383]) ).

fof(f564,plain,
    ( ~ sQ13_eqProxy(vf(sK1,sK3),vf(sK4,sK6))
    | ~ sQ13_eqProxy(vangle(sK2,sK1,sK3),vangle(sK5,sK4,sK6))
    | ron(sK4,sK11(sK4,sK5,sK6)) ),
    inference(subsumption_resolution,[],[f563,f382]) ).

fof(f563,plain,
    ( ~ sQ13_eqProxy(vf(sK1,sK2),vf(sK4,sK5))
    | ~ sQ13_eqProxy(vf(sK1,sK3),vf(sK4,sK6))
    | ~ sQ13_eqProxy(vangle(sK2,sK1,sK3),vangle(sK5,sK4,sK6))
    | ron(sK4,sK11(sK4,sK5,sK6)) ),
    inference(subsumption_resolution,[],[f562,f206]) ).

fof(f562,plain,
    ( ~ rpoint(sK6)
    | ~ sQ13_eqProxy(vf(sK1,sK2),vf(sK4,sK5))
    | ~ sQ13_eqProxy(vf(sK1,sK3),vf(sK4,sK6))
    | ~ sQ13_eqProxy(vangle(sK2,sK1,sK3),vangle(sK5,sK4,sK6))
    | ron(sK4,sK11(sK4,sK5,sK6)) ),
    inference(subsumption_resolution,[],[f561,f208]) ).

fof(f561,plain,
    ( ~ rpoint(sK5)
    | ~ rpoint(sK6)
    | ~ sQ13_eqProxy(vf(sK1,sK2),vf(sK4,sK5))
    | ~ sQ13_eqProxy(vf(sK1,sK3),vf(sK4,sK6))
    | ~ sQ13_eqProxy(vangle(sK2,sK1,sK3),vangle(sK5,sK4,sK6))
    | ron(sK4,sK11(sK4,sK5,sK6)) ),
    inference(subsumption_resolution,[],[f560,f210]) ).

fof(f560,plain,
    ( ~ rpoint(sK4)
    | ~ rpoint(sK5)
    | ~ rpoint(sK6)
    | ~ sQ13_eqProxy(vf(sK1,sK2),vf(sK4,sK5))
    | ~ sQ13_eqProxy(vf(sK1,sK3),vf(sK4,sK6))
    | ~ sQ13_eqProxy(vangle(sK2,sK1,sK3),vangle(sK5,sK4,sK6))
    | ron(sK4,sK11(sK4,sK5,sK6)) ),
    inference(subsumption_resolution,[],[f559,f381]) ).

fof(f559,plain,
    ( sQ13_eqProxy(sK2,sK3)
    | ~ rpoint(sK4)
    | ~ rpoint(sK5)
    | ~ rpoint(sK6)
    | ~ sQ13_eqProxy(vf(sK1,sK2),vf(sK4,sK5))
    | ~ sQ13_eqProxy(vf(sK1,sK3),vf(sK4,sK6))
    | ~ sQ13_eqProxy(vangle(sK2,sK1,sK3),vangle(sK5,sK4,sK6))
    | ron(sK4,sK11(sK4,sK5,sK6)) ),
    inference(subsumption_resolution,[],[f558,f380]) ).

fof(f558,plain,
    ( sQ13_eqProxy(sK1,sK3)
    | sQ13_eqProxy(sK2,sK3)
    | ~ rpoint(sK4)
    | ~ rpoint(sK5)
    | ~ rpoint(sK6)
    | ~ sQ13_eqProxy(vf(sK1,sK2),vf(sK4,sK5))
    | ~ sQ13_eqProxy(vf(sK1,sK3),vf(sK4,sK6))
    | ~ sQ13_eqProxy(vangle(sK2,sK1,sK3),vangle(sK5,sK4,sK6))
    | ron(sK4,sK11(sK4,sK5,sK6)) ),
    inference(subsumption_resolution,[],[f557,f379]) ).

fof(f557,plain,
    ( sQ13_eqProxy(sK1,sK2)
    | sQ13_eqProxy(sK1,sK3)
    | sQ13_eqProxy(sK2,sK3)
    | ~ rpoint(sK4)
    | ~ rpoint(sK5)
    | ~ rpoint(sK6)
    | ~ sQ13_eqProxy(vf(sK1,sK2),vf(sK4,sK5))
    | ~ sQ13_eqProxy(vf(sK1,sK3),vf(sK4,sK6))
    | ~ sQ13_eqProxy(vangle(sK2,sK1,sK3),vangle(sK5,sK4,sK6))
    | ron(sK4,sK11(sK4,sK5,sK6)) ),
    inference(subsumption_resolution,[],[f556,f215]) ).

fof(f556,plain,
    ( ~ rpoint(sK3)
    | sQ13_eqProxy(sK1,sK2)
    | sQ13_eqProxy(sK1,sK3)
    | sQ13_eqProxy(sK2,sK3)
    | ~ rpoint(sK4)
    | ~ rpoint(sK5)
    | ~ rpoint(sK6)
    | ~ sQ13_eqProxy(vf(sK1,sK2),vf(sK4,sK5))
    | ~ sQ13_eqProxy(vf(sK1,sK3),vf(sK4,sK6))
    | ~ sQ13_eqProxy(vangle(sK2,sK1,sK3),vangle(sK5,sK4,sK6))
    | ron(sK4,sK11(sK4,sK5,sK6)) ),
    inference(subsumption_resolution,[],[f555,f217]) ).

fof(f555,plain,
    ( ~ rpoint(sK2)
    | ~ rpoint(sK3)
    | sQ13_eqProxy(sK1,sK2)
    | sQ13_eqProxy(sK1,sK3)
    | sQ13_eqProxy(sK2,sK3)
    | ~ rpoint(sK4)
    | ~ rpoint(sK5)
    | ~ rpoint(sK6)
    | ~ sQ13_eqProxy(vf(sK1,sK2),vf(sK4,sK5))
    | ~ sQ13_eqProxy(vf(sK1,sK3),vf(sK4,sK6))
    | ~ sQ13_eqProxy(vangle(sK2,sK1,sK3),vangle(sK5,sK4,sK6))
    | ron(sK4,sK11(sK4,sK5,sK6)) ),
    inference(subsumption_resolution,[],[f418,f219]) ).

fof(f418,plain,
    ( ~ rpoint(sK1)
    | ~ rpoint(sK2)
    | ~ rpoint(sK3)
    | sQ13_eqProxy(sK1,sK2)
    | sQ13_eqProxy(sK1,sK3)
    | sQ13_eqProxy(sK2,sK3)
    | ~ rpoint(sK4)
    | ~ rpoint(sK5)
    | ~ rpoint(sK6)
    | ~ sQ13_eqProxy(vf(sK1,sK2),vf(sK4,sK5))
    | ~ sQ13_eqProxy(vf(sK1,sK3),vf(sK4,sK6))
    | ~ sQ13_eqProxy(vangle(sK2,sK1,sK3),vangle(sK5,sK4,sK6))
    | ron(sK4,sK11(sK4,sK5,sK6)) ),
    inference(resolution,[],[f378,f403]) ).

fof(f403,plain,
    ! [X10,X11,X8,X6,X9,X7] :
      ( sQ13_eqProxy(vangle(X6,X8,X7),vangle(X9,X11,X10))
      | ~ rpoint(X6)
      | ~ rpoint(X7)
      | ~ rpoint(X8)
      | sQ13_eqProxy(X6,X7)
      | sQ13_eqProxy(X6,X8)
      | sQ13_eqProxy(X7,X8)
      | ~ rpoint(X9)
      | ~ rpoint(X10)
      | ~ rpoint(X11)
      | ~ sQ13_eqProxy(vf(X6,X7),vf(X9,X10))
      | ~ sQ13_eqProxy(vf(X6,X8),vf(X9,X11))
      | ~ sQ13_eqProxy(vangle(X7,X6,X8),vangle(X10,X9,X11))
      | ron(X9,sK11(X9,X10,X11)) ),
    inference(equality_proxy_replacement,[],[f337,f377,f377,f377,f377,f377,f377,f377]) ).

fof(f337,plain,
    ! [X10,X11,X8,X6,X9,X7] :
      ( vangle(X6,X8,X7) = vangle(X9,X11,X10)
      | ~ rpoint(X6)
      | ~ rpoint(X7)
      | ~ rpoint(X8)
      | X6 = X7
      | X6 = X8
      | X7 = X8
      | ~ rpoint(X9)
      | ~ rpoint(X10)
      | ~ rpoint(X11)
      | vf(X6,X7) != vf(X9,X10)
      | vf(X6,X8) != vf(X9,X11)
      | vangle(X7,X6,X8) != vangle(X10,X9,X11)
      | ron(X9,sK11(X9,X10,X11)) ),
    inference(equality_resolution,[],[f336]) ).

fof(f336,plain,
    ! [X10,X11,X8,X6,X9,X7,X5] :
      ( vangle(X6,X8,X7) = vangle(X9,X5,X10)
      | ~ rpoint(X6)
      | ~ rpoint(X7)
      | ~ rpoint(X8)
      | X6 = X7
      | X6 = X8
      | X7 = X8
      | ~ rpoint(X9)
      | ~ rpoint(X10)
      | ~ rpoint(X11)
      | X5 != X11
      | vf(X6,X7) != vf(X9,X10)
      | vf(X6,X8) != vf(X9,X5)
      | vangle(X7,X6,X8) != vangle(X10,X9,X5)
      | ron(X9,sK11(X9,X10,X5)) ),
    inference(equality_resolution,[],[f335]) ).

fof(f335,plain,
    ! [X10,X11,X8,X6,X9,X7,X4,X5] :
      ( vangle(X6,X8,X7) = vangle(X9,X5,X4)
      | ~ rpoint(X6)
      | ~ rpoint(X7)
      | ~ rpoint(X8)
      | X6 = X7
      | X6 = X8
      | X7 = X8
      | ~ rpoint(X9)
      | ~ rpoint(X10)
      | X4 != X10
      | ~ rpoint(X11)
      | X5 != X11
      | vf(X6,X7) != vf(X9,X4)
      | vf(X6,X8) != vf(X9,X5)
      | vangle(X7,X6,X8) != vangle(X4,X9,X5)
      | ron(X9,sK11(X9,X4,X5)) ),
    inference(equality_resolution,[],[f334]) ).

fof(f334,plain,
    ! [X3,X10,X11,X8,X6,X9,X7,X4,X5] :
      ( vangle(X3,X5,X4) = vangle(X6,X8,X7)
      | ~ rpoint(X6)
      | ~ rpoint(X7)
      | ~ rpoint(X8)
      | X6 = X7
      | X6 = X8
      | X7 = X8
      | ~ rpoint(X9)
      | X3 != X9
      | ~ rpoint(X10)
      | X4 != X10
      | ~ rpoint(X11)
      | X5 != X11
      | vf(X6,X7) != vf(X3,X4)
      | vf(X3,X5) != vf(X6,X8)
      | vangle(X4,X3,X5) != vangle(X7,X6,X8)
      | ron(X3,sK11(X3,X4,X5)) ),
    inference(equality_resolution,[],[f333]) ).

fof(f333,plain,
    ! [X2,X3,X10,X11,X8,X6,X9,X7,X4,X5] :
      ( vangle(X3,X5,X4) = vangle(X6,X2,X7)
      | ~ rpoint(X6)
      | ~ rpoint(X7)
      | ~ rpoint(X8)
      | X2 != X8
      | X6 = X7
      | X2 = X6
      | X2 = X7
      | ~ rpoint(X9)
      | X3 != X9
      | ~ rpoint(X10)
      | X4 != X10
      | ~ rpoint(X11)
      | X5 != X11
      | vf(X6,X7) != vf(X3,X4)
      | vf(X3,X5) != vf(X6,X2)
      | vangle(X4,X3,X5) != vangle(X7,X6,X2)
      | ron(X3,sK11(X3,X4,X5)) ),
    inference(equality_resolution,[],[f332]) ).

fof(f332,plain,
    ! [X2,X3,X10,X11,X1,X8,X6,X9,X7,X4,X5] :
      ( vangle(X3,X5,X4) = vangle(X6,X2,X1)
      | ~ rpoint(X6)
      | ~ rpoint(X7)
      | X1 != X7
      | ~ rpoint(X8)
      | X2 != X8
      | X1 = X6
      | X2 = X6
      | X1 = X2
      | ~ rpoint(X9)
      | X3 != X9
      | ~ rpoint(X10)
      | X4 != X10
      | ~ rpoint(X11)
      | X5 != X11
      | vf(X3,X4) != vf(X6,X1)
      | vf(X3,X5) != vf(X6,X2)
      | vangle(X4,X3,X5) != vangle(X1,X6,X2)
      | ron(X3,sK11(X3,X4,X5)) ),
    inference(equality_resolution,[],[f244]) ).

fof(f244,plain,
    ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
      ( vangle(X0,X2,X1) = vangle(X3,X5,X4)
      | ~ rpoint(X6)
      | X0 != X6
      | ~ rpoint(X7)
      | X1 != X7
      | ~ rpoint(X8)
      | X2 != X8
      | X0 = X1
      | X0 = X2
      | X1 = X2
      | ~ rpoint(X9)
      | X3 != X9
      | ~ rpoint(X10)
      | X4 != X10
      | ~ rpoint(X11)
      | X5 != X11
      | vf(X0,X1) != vf(X3,X4)
      | vf(X0,X2) != vf(X3,X5)
      | vangle(X1,X0,X2) != vangle(X4,X3,X5)
      | ron(X3,sK11(X3,X4,X5)) ),
    inference(cnf_transformation,[],[f197]) ).

fof(f795,plain,
    ( ~ ron(sK4,sK11(sK4,sK5,sK6))
    | ~ ron(sK5,sK11(sK4,sK5,sK6))
    | ~ ron(sK6,sK11(sK4,sK5,sK6)) ),
    inference(resolution,[],[f554,f258]) ).

fof(f258,plain,
    ! [X6] :
      ( ~ rline(X6)
      | ~ ron(sK4,X6)
      | ~ ron(sK5,X6)
      | ~ ron(sK6,X6) ),
    inference(definition_unfolding,[],[f201,f209,f207,f205]) ).

fof(f201,plain,
    ! [X6] :
      ( ~ rline(X6)
      | ~ ron(vd1163,X6)
      | ~ ron(vd1164,X6)
      | ~ ron(vd1165,X6) ),
    inference(cnf_transformation,[],[f189]) ).

fof(f554,plain,
    rline(sK11(sK4,sK5,sK6)),
    inference(subsumption_resolution,[],[f553,f384]) ).

fof(f553,plain,
    ( ~ sQ13_eqProxy(vangle(sK2,sK1,sK3),vangle(sK5,sK4,sK6))
    | rline(sK11(sK4,sK5,sK6)) ),
    inference(subsumption_resolution,[],[f552,f383]) ).

fof(f552,plain,
    ( ~ sQ13_eqProxy(vf(sK1,sK3),vf(sK4,sK6))
    | ~ sQ13_eqProxy(vangle(sK2,sK1,sK3),vangle(sK5,sK4,sK6))
    | rline(sK11(sK4,sK5,sK6)) ),
    inference(subsumption_resolution,[],[f551,f382]) ).

fof(f551,plain,
    ( ~ sQ13_eqProxy(vf(sK1,sK2),vf(sK4,sK5))
    | ~ sQ13_eqProxy(vf(sK1,sK3),vf(sK4,sK6))
    | ~ sQ13_eqProxy(vangle(sK2,sK1,sK3),vangle(sK5,sK4,sK6))
    | rline(sK11(sK4,sK5,sK6)) ),
    inference(subsumption_resolution,[],[f550,f206]) ).

fof(f550,plain,
    ( ~ rpoint(sK6)
    | ~ sQ13_eqProxy(vf(sK1,sK2),vf(sK4,sK5))
    | ~ sQ13_eqProxy(vf(sK1,sK3),vf(sK4,sK6))
    | ~ sQ13_eqProxy(vangle(sK2,sK1,sK3),vangle(sK5,sK4,sK6))
    | rline(sK11(sK4,sK5,sK6)) ),
    inference(subsumption_resolution,[],[f549,f208]) ).

fof(f549,plain,
    ( ~ rpoint(sK5)
    | ~ rpoint(sK6)
    | ~ sQ13_eqProxy(vf(sK1,sK2),vf(sK4,sK5))
    | ~ sQ13_eqProxy(vf(sK1,sK3),vf(sK4,sK6))
    | ~ sQ13_eqProxy(vangle(sK2,sK1,sK3),vangle(sK5,sK4,sK6))
    | rline(sK11(sK4,sK5,sK6)) ),
    inference(subsumption_resolution,[],[f548,f210]) ).

fof(f548,plain,
    ( ~ rpoint(sK4)
    | ~ rpoint(sK5)
    | ~ rpoint(sK6)
    | ~ sQ13_eqProxy(vf(sK1,sK2),vf(sK4,sK5))
    | ~ sQ13_eqProxy(vf(sK1,sK3),vf(sK4,sK6))
    | ~ sQ13_eqProxy(vangle(sK2,sK1,sK3),vangle(sK5,sK4,sK6))
    | rline(sK11(sK4,sK5,sK6)) ),
    inference(subsumption_resolution,[],[f547,f381]) ).

fof(f547,plain,
    ( sQ13_eqProxy(sK2,sK3)
    | ~ rpoint(sK4)
    | ~ rpoint(sK5)
    | ~ rpoint(sK6)
    | ~ sQ13_eqProxy(vf(sK1,sK2),vf(sK4,sK5))
    | ~ sQ13_eqProxy(vf(sK1,sK3),vf(sK4,sK6))
    | ~ sQ13_eqProxy(vangle(sK2,sK1,sK3),vangle(sK5,sK4,sK6))
    | rline(sK11(sK4,sK5,sK6)) ),
    inference(subsumption_resolution,[],[f546,f380]) ).

fof(f546,plain,
    ( sQ13_eqProxy(sK1,sK3)
    | sQ13_eqProxy(sK2,sK3)
    | ~ rpoint(sK4)
    | ~ rpoint(sK5)
    | ~ rpoint(sK6)
    | ~ sQ13_eqProxy(vf(sK1,sK2),vf(sK4,sK5))
    | ~ sQ13_eqProxy(vf(sK1,sK3),vf(sK4,sK6))
    | ~ sQ13_eqProxy(vangle(sK2,sK1,sK3),vangle(sK5,sK4,sK6))
    | rline(sK11(sK4,sK5,sK6)) ),
    inference(subsumption_resolution,[],[f545,f379]) ).

fof(f545,plain,
    ( sQ13_eqProxy(sK1,sK2)
    | sQ13_eqProxy(sK1,sK3)
    | sQ13_eqProxy(sK2,sK3)
    | ~ rpoint(sK4)
    | ~ rpoint(sK5)
    | ~ rpoint(sK6)
    | ~ sQ13_eqProxy(vf(sK1,sK2),vf(sK4,sK5))
    | ~ sQ13_eqProxy(vf(sK1,sK3),vf(sK4,sK6))
    | ~ sQ13_eqProxy(vangle(sK2,sK1,sK3),vangle(sK5,sK4,sK6))
    | rline(sK11(sK4,sK5,sK6)) ),
    inference(subsumption_resolution,[],[f544,f215]) ).

fof(f544,plain,
    ( ~ rpoint(sK3)
    | sQ13_eqProxy(sK1,sK2)
    | sQ13_eqProxy(sK1,sK3)
    | sQ13_eqProxy(sK2,sK3)
    | ~ rpoint(sK4)
    | ~ rpoint(sK5)
    | ~ rpoint(sK6)
    | ~ sQ13_eqProxy(vf(sK1,sK2),vf(sK4,sK5))
    | ~ sQ13_eqProxy(vf(sK1,sK3),vf(sK4,sK6))
    | ~ sQ13_eqProxy(vangle(sK2,sK1,sK3),vangle(sK5,sK4,sK6))
    | rline(sK11(sK4,sK5,sK6)) ),
    inference(subsumption_resolution,[],[f543,f217]) ).

fof(f543,plain,
    ( ~ rpoint(sK2)
    | ~ rpoint(sK3)
    | sQ13_eqProxy(sK1,sK2)
    | sQ13_eqProxy(sK1,sK3)
    | sQ13_eqProxy(sK2,sK3)
    | ~ rpoint(sK4)
    | ~ rpoint(sK5)
    | ~ rpoint(sK6)
    | ~ sQ13_eqProxy(vf(sK1,sK2),vf(sK4,sK5))
    | ~ sQ13_eqProxy(vf(sK1,sK3),vf(sK4,sK6))
    | ~ sQ13_eqProxy(vangle(sK2,sK1,sK3),vangle(sK5,sK4,sK6))
    | rline(sK11(sK4,sK5,sK6)) ),
    inference(subsumption_resolution,[],[f417,f219]) ).

fof(f417,plain,
    ( ~ rpoint(sK1)
    | ~ rpoint(sK2)
    | ~ rpoint(sK3)
    | sQ13_eqProxy(sK1,sK2)
    | sQ13_eqProxy(sK1,sK3)
    | sQ13_eqProxy(sK2,sK3)
    | ~ rpoint(sK4)
    | ~ rpoint(sK5)
    | ~ rpoint(sK6)
    | ~ sQ13_eqProxy(vf(sK1,sK2),vf(sK4,sK5))
    | ~ sQ13_eqProxy(vf(sK1,sK3),vf(sK4,sK6))
    | ~ sQ13_eqProxy(vangle(sK2,sK1,sK3),vangle(sK5,sK4,sK6))
    | rline(sK11(sK4,sK5,sK6)) ),
    inference(resolution,[],[f378,f402]) ).

fof(f402,plain,
    ! [X10,X11,X8,X6,X9,X7] :
      ( sQ13_eqProxy(vangle(X6,X8,X7),vangle(X9,X11,X10))
      | ~ rpoint(X6)
      | ~ rpoint(X7)
      | ~ rpoint(X8)
      | sQ13_eqProxy(X6,X7)
      | sQ13_eqProxy(X6,X8)
      | sQ13_eqProxy(X7,X8)
      | ~ rpoint(X9)
      | ~ rpoint(X10)
      | ~ rpoint(X11)
      | ~ sQ13_eqProxy(vf(X6,X7),vf(X9,X10))
      | ~ sQ13_eqProxy(vf(X6,X8),vf(X9,X11))
      | ~ sQ13_eqProxy(vangle(X7,X6,X8),vangle(X10,X9,X11))
      | rline(sK11(X9,X10,X11)) ),
    inference(equality_proxy_replacement,[],[f331,f377,f377,f377,f377,f377,f377,f377]) ).

fof(f331,plain,
    ! [X10,X11,X8,X6,X9,X7] :
      ( vangle(X6,X8,X7) = vangle(X9,X11,X10)
      | ~ rpoint(X6)
      | ~ rpoint(X7)
      | ~ rpoint(X8)
      | X6 = X7
      | X6 = X8
      | X7 = X8
      | ~ rpoint(X9)
      | ~ rpoint(X10)
      | ~ rpoint(X11)
      | vf(X6,X7) != vf(X9,X10)
      | vf(X6,X8) != vf(X9,X11)
      | vangle(X7,X6,X8) != vangle(X10,X9,X11)
      | rline(sK11(X9,X10,X11)) ),
    inference(equality_resolution,[],[f330]) ).

fof(f330,plain,
    ! [X10,X11,X8,X6,X9,X7,X5] :
      ( vangle(X6,X8,X7) = vangle(X9,X5,X10)
      | ~ rpoint(X6)
      | ~ rpoint(X7)
      | ~ rpoint(X8)
      | X6 = X7
      | X6 = X8
      | X7 = X8
      | ~ rpoint(X9)
      | ~ rpoint(X10)
      | ~ rpoint(X11)
      | X5 != X11
      | vf(X6,X7) != vf(X9,X10)
      | vf(X6,X8) != vf(X9,X5)
      | vangle(X7,X6,X8) != vangle(X10,X9,X5)
      | rline(sK11(X9,X10,X5)) ),
    inference(equality_resolution,[],[f329]) ).

fof(f329,plain,
    ! [X10,X11,X8,X6,X9,X7,X4,X5] :
      ( vangle(X6,X8,X7) = vangle(X9,X5,X4)
      | ~ rpoint(X6)
      | ~ rpoint(X7)
      | ~ rpoint(X8)
      | X6 = X7
      | X6 = X8
      | X7 = X8
      | ~ rpoint(X9)
      | ~ rpoint(X10)
      | X4 != X10
      | ~ rpoint(X11)
      | X5 != X11
      | vf(X6,X7) != vf(X9,X4)
      | vf(X6,X8) != vf(X9,X5)
      | vangle(X7,X6,X8) != vangle(X4,X9,X5)
      | rline(sK11(X9,X4,X5)) ),
    inference(equality_resolution,[],[f328]) ).

fof(f328,plain,
    ! [X3,X10,X11,X8,X6,X9,X7,X4,X5] :
      ( vangle(X3,X5,X4) = vangle(X6,X8,X7)
      | ~ rpoint(X6)
      | ~ rpoint(X7)
      | ~ rpoint(X8)
      | X6 = X7
      | X6 = X8
      | X7 = X8
      | ~ rpoint(X9)
      | X3 != X9
      | ~ rpoint(X10)
      | X4 != X10
      | ~ rpoint(X11)
      | X5 != X11
      | vf(X6,X7) != vf(X3,X4)
      | vf(X3,X5) != vf(X6,X8)
      | vangle(X4,X3,X5) != vangle(X7,X6,X8)
      | rline(sK11(X3,X4,X5)) ),
    inference(equality_resolution,[],[f327]) ).

fof(f327,plain,
    ! [X2,X3,X10,X11,X8,X6,X9,X7,X4,X5] :
      ( vangle(X3,X5,X4) = vangle(X6,X2,X7)
      | ~ rpoint(X6)
      | ~ rpoint(X7)
      | ~ rpoint(X8)
      | X2 != X8
      | X6 = X7
      | X2 = X6
      | X2 = X7
      | ~ rpoint(X9)
      | X3 != X9
      | ~ rpoint(X10)
      | X4 != X10
      | ~ rpoint(X11)
      | X5 != X11
      | vf(X6,X7) != vf(X3,X4)
      | vf(X3,X5) != vf(X6,X2)
      | vangle(X4,X3,X5) != vangle(X7,X6,X2)
      | rline(sK11(X3,X4,X5)) ),
    inference(equality_resolution,[],[f326]) ).

fof(f326,plain,
    ! [X2,X3,X10,X11,X1,X8,X6,X9,X7,X4,X5] :
      ( vangle(X3,X5,X4) = vangle(X6,X2,X1)
      | ~ rpoint(X6)
      | ~ rpoint(X7)
      | X1 != X7
      | ~ rpoint(X8)
      | X2 != X8
      | X1 = X6
      | X2 = X6
      | X1 = X2
      | ~ rpoint(X9)
      | X3 != X9
      | ~ rpoint(X10)
      | X4 != X10
      | ~ rpoint(X11)
      | X5 != X11
      | vf(X3,X4) != vf(X6,X1)
      | vf(X3,X5) != vf(X6,X2)
      | vangle(X4,X3,X5) != vangle(X1,X6,X2)
      | rline(sK11(X3,X4,X5)) ),
    inference(equality_resolution,[],[f245]) ).

fof(f245,plain,
    ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
      ( vangle(X0,X2,X1) = vangle(X3,X5,X4)
      | ~ rpoint(X6)
      | X0 != X6
      | ~ rpoint(X7)
      | X1 != X7
      | ~ rpoint(X8)
      | X2 != X8
      | X0 = X1
      | X0 = X2
      | X1 = X2
      | ~ rpoint(X9)
      | X3 != X9
      | ~ rpoint(X10)
      | X4 != X10
      | ~ rpoint(X11)
      | X5 != X11
      | vf(X0,X1) != vf(X3,X4)
      | vf(X0,X2) != vf(X3,X5)
      | vangle(X1,X0,X2) != vangle(X4,X3,X5)
      | rline(sK11(X3,X4,X5)) ),
    inference(cnf_transformation,[],[f197]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem    : GEO289+1 : TPTP v8.2.0. Released v4.1.0.
% 0.08/0.13  % Command    : run_vampire %s %d THM
% 0.13/0.35  % Computer : n001.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Fri Jun 21 08:06:24 EDT 2024
% 0.13/0.35  % CPUTime    : 
% 0.13/0.37  This is a FOF_THM_RFO_SEQ problem
% 0.13/0.37  Running first-order theorem proving
% 0.13/0.37  Running /export/starexec/sandbox2/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.45  % (27568)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.45  % (27573)lrs-1010_1:1_sil=2000:i=250:sd=1:ss=axioms:sgt=32:sos=on_0 on theBenchmark for (2999ds/250Mi)
% 0.22/0.45  % (27568)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.45  % (27575)lrs+1002_1:1_to=lpo:sil=2000:sp=frequency:sos=on:st=3.0:i=282:sd=2:ss=axioms_0 on theBenchmark for (2999ds/282Mi)
% 0.22/0.45  % (27568)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.45  % (27571)lrs+11_1:12_to=lpo:sil=128000:sp=const_min:i=103397:ss=included:sgt=16:av=off:fsd=on:nm=16_0 on theBenchmark for (2999ds/103397Mi)
% 0.22/0.45  % (27568)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.45  % (27570)lrs+2_3:1_to=lpo:sil=256000:irw=on:fde=unused:sp=unary_first:bce=on:nwc=6.0:s2agt=30:newcnf=on:s2a=on:i=140573:nm=2_0 on theBenchmark for (2999ds/140573Mi)
% 0.22/0.45  % (27568)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.45  % (27572)dis+2_1:50_sil=256000:flr=on:sac=on:i=218245:fsr=off:uhcvi=on_0 on theBenchmark for (2999ds/218245Mi)
% 0.22/0.45  % (27568)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.45  % (27569)lrs+10_1:628_anc=all_dependent:bsr=unit_only:sil=256000:sp=frequency:i=136310:newcnf=on_0 on theBenchmark for (2999ds/136310Mi)
% 0.22/0.45  % (27568)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.45  % (27574)lrs-1011_8:1_sil=16000:sos=all:i=346:sd=1:ep=R:ss=axioms_0 on theBenchmark for (2999ds/346Mi)
% 0.22/0.47  % (27574)First to succeed.
% 0.22/0.47  % (27574)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-27568"
% 0.22/0.47  % (27568)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.47  % (27574)Refutation found. Thanks to Tanya!
% 0.22/0.47  % SZS status Theorem for theBenchmark
% 0.22/0.47  % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.47  % (27574)------------------------------
% 0.22/0.47  % (27574)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.47  % (27574)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.47  % (27574)Termination reason: Refutation
% 0.22/0.47  
% 0.22/0.47  % (27574)Memory used [KB]: 2075
% 0.22/0.47  % (27574)Time elapsed: 0.016 s
% 0.22/0.47  % (27574)Instructions burned: 47 (million)
% 0.22/0.47  % (27574)------------------------------
% 0.22/0.47  % (27574)------------------------------
% 0.22/0.47  % (27568)Success in time 0.072 s
%------------------------------------------------------------------------------