TSTP Solution File: GEO289+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GEO289+1 : TPTP v8.2.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n024.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 May 20 20:10:00 EDT 2024

% Result   : Theorem 0.55s 0.74s
% Output   : Refutation 0.55s
% 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(f1174,plain,
    $false,
    inference(subsumption_resolution,[],[f1173,f1106]) ).

fof(f1106,plain,
    ron(sK6,sK12(sK4,sK5,sK6)),
    inference(subsumption_resolution,[],[f1105,f907]) ).

fof(f907,plain,
    sQ31_eqProxy(vangle(sK2,sK1,sK3),vangle(sK5,sK4,sK6)),
    inference(equality_proxy_replacement,[],[f502,f900]) ).

fof(f900,plain,
    ! [X0,X1] :
      ( sQ31_eqProxy(X0,X1)
    <=> X0 = X1 ),
    introduced(equality_proxy_definition,[new_symbols(naming,[sQ31_eqProxy])]) ).

fof(f502,plain,
    vangle(sK2,sK1,sK3) = vangle(sK5,sK4,sK6),
    inference(definition_unfolding,[],[f364,f378,f380,f376,f369,f371,f367]) ).

fof(f367,plain,
    vd1165 = sK6,
    inference(cnf_transformation,[],[f305]) ).

fof(f305,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])],[f206,f304,f303,f302,f301,f300,f299]) ).

fof(f299,plain,
    ( ? [X0] :
        ( rpoint(X0)
        & vd1156 = X0 )
   => ( rpoint(sK1)
      & vd1156 = sK1 ) ),
    introduced(choice_axiom,[]) ).

fof(f300,plain,
    ( ? [X1] :
        ( rpoint(X1)
        & vd1157 = X1 )
   => ( rpoint(sK2)
      & vd1157 = sK2 ) ),
    introduced(choice_axiom,[]) ).

fof(f301,plain,
    ( ? [X2] :
        ( rpoint(X2)
        & vd1158 = X2 )
   => ( rpoint(sK3)
      & vd1158 = sK3 ) ),
    introduced(choice_axiom,[]) ).

fof(f302,plain,
    ( ? [X3] :
        ( rpoint(X3)
        & vd1163 = X3 )
   => ( rpoint(sK4)
      & vd1163 = sK4 ) ),
    introduced(choice_axiom,[]) ).

fof(f303,plain,
    ( ? [X4] :
        ( rpoint(X4)
        & vd1164 = X4 )
   => ( rpoint(sK5)
      & vd1164 = sK5 ) ),
    introduced(choice_axiom,[]) ).

fof(f304,plain,
    ( ? [X5] :
        ( rpoint(X5)
        & vd1165 = X5 )
   => ( rpoint(sK6)
      & vd1165 = sK6 ) ),
    introduced(choice_axiom,[]) ).

fof(f206,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','and(neg(neg(conjunct2(conjunct2(conjunct2(plural(comma_conjunct2(265))))))), and(holds(conjunct1(conjunct2(conjunct2(plural(comma_conjunct2(265))))), 1172, 0), and(holds(conjunct1(conjunct2(plural(comma_conjunct2(265)))), 1171, 0), and(holds(conjunct1(plural(comma_conjunct2(265))), 1170, 0), and(qe(s3(plural(comma_conjunct2(265)))), and(qe(s2(plural(comma_conjunct2(265)))), and(qe(s1(plural(comma_conjunct2(265)))), and(pred(comma_conjunct1(265), 9), and(pred(comma_conjunct1(265), 8), and(pred(comma_conjunct1(265), 7), and(qe(s3(plural(265))), and(qe(s2(plural(265))), qe(s1(plural(265)))))))))))))))') ).

fof(f371,plain,
    vd1163 = sK4,
    inference(cnf_transformation,[],[f305]) ).

fof(f369,plain,
    vd1164 = sK5,
    inference(cnf_transformation,[],[f305]) ).

fof(f376,plain,
    vd1158 = sK3,
    inference(cnf_transformation,[],[f305]) ).

fof(f380,plain,
    vd1156 = sK1,
    inference(cnf_transformation,[],[f305]) ).

fof(f378,plain,
    vd1157 = sK2,
    inference(cnf_transformation,[],[f305]) ).

fof(f364,plain,
    vangle(vd1157,vd1156,vd1158) = vangle(vd1164,vd1163,vd1165),
    inference(cnf_transformation,[],[f305]) ).

fof(f1105,plain,
    ( ~ sQ31_eqProxy(vangle(sK2,sK1,sK3),vangle(sK5,sK4,sK6))
    | ron(sK6,sK12(sK4,sK5,sK6)) ),
    inference(subsumption_resolution,[],[f1104,f906]) ).

fof(f906,plain,
    sQ31_eqProxy(vf(sK1,sK3),vf(sK4,sK6)),
    inference(equality_proxy_replacement,[],[f501,f900]) ).

fof(f501,plain,
    vf(sK1,sK3) = vf(sK4,sK6),
    inference(definition_unfolding,[],[f365,f380,f376,f371,f367]) ).

fof(f365,plain,
    vf(vd1156,vd1158) = vf(vd1163,vd1165),
    inference(cnf_transformation,[],[f305]) ).

fof(f1104,plain,
    ( ~ sQ31_eqProxy(vf(sK1,sK3),vf(sK4,sK6))
    | ~ sQ31_eqProxy(vangle(sK2,sK1,sK3),vangle(sK5,sK4,sK6))
    | ron(sK6,sK12(sK4,sK5,sK6)) ),
    inference(subsumption_resolution,[],[f1103,f905]) ).

fof(f905,plain,
    sQ31_eqProxy(vf(sK1,sK2),vf(sK4,sK5)),
    inference(equality_proxy_replacement,[],[f500,f900]) ).

fof(f500,plain,
    vf(sK1,sK2) = vf(sK4,sK5),
    inference(definition_unfolding,[],[f366,f380,f378,f371,f369]) ).

fof(f366,plain,
    vf(vd1156,vd1157) = vf(vd1163,vd1164),
    inference(cnf_transformation,[],[f305]) ).

fof(f1103,plain,
    ( ~ sQ31_eqProxy(vf(sK1,sK2),vf(sK4,sK5))
    | ~ sQ31_eqProxy(vf(sK1,sK3),vf(sK4,sK6))
    | ~ sQ31_eqProxy(vangle(sK2,sK1,sK3),vangle(sK5,sK4,sK6))
    | ron(sK6,sK12(sK4,sK5,sK6)) ),
    inference(subsumption_resolution,[],[f1102,f368]) ).

fof(f368,plain,
    rpoint(sK6),
    inference(cnf_transformation,[],[f305]) ).

fof(f1102,plain,
    ( ~ rpoint(sK6)
    | ~ sQ31_eqProxy(vf(sK1,sK2),vf(sK4,sK5))
    | ~ sQ31_eqProxy(vf(sK1,sK3),vf(sK4,sK6))
    | ~ sQ31_eqProxy(vangle(sK2,sK1,sK3),vangle(sK5,sK4,sK6))
    | ron(sK6,sK12(sK4,sK5,sK6)) ),
    inference(subsumption_resolution,[],[f1101,f370]) ).

fof(f370,plain,
    rpoint(sK5),
    inference(cnf_transformation,[],[f305]) ).

fof(f1101,plain,
    ( ~ rpoint(sK5)
    | ~ rpoint(sK6)
    | ~ sQ31_eqProxy(vf(sK1,sK2),vf(sK4,sK5))
    | ~ sQ31_eqProxy(vf(sK1,sK3),vf(sK4,sK6))
    | ~ sQ31_eqProxy(vangle(sK2,sK1,sK3),vangle(sK5,sK4,sK6))
    | ron(sK6,sK12(sK4,sK5,sK6)) ),
    inference(subsumption_resolution,[],[f1100,f372]) ).

fof(f372,plain,
    rpoint(sK4),
    inference(cnf_transformation,[],[f305]) ).

fof(f1100,plain,
    ( ~ rpoint(sK4)
    | ~ rpoint(sK5)
    | ~ rpoint(sK6)
    | ~ sQ31_eqProxy(vf(sK1,sK2),vf(sK4,sK5))
    | ~ sQ31_eqProxy(vf(sK1,sK3),vf(sK4,sK6))
    | ~ sQ31_eqProxy(vangle(sK2,sK1,sK3),vangle(sK5,sK4,sK6))
    | ron(sK6,sK12(sK4,sK5,sK6)) ),
    inference(subsumption_resolution,[],[f1099,f904]) ).

fof(f904,plain,
    ~ sQ31_eqProxy(sK2,sK3),
    inference(equality_proxy_replacement,[],[f499,f900]) ).

fof(f499,plain,
    sK2 != sK3,
    inference(definition_unfolding,[],[f373,f376,f378]) ).

fof(f373,plain,
    vd1158 != vd1157,
    inference(cnf_transformation,[],[f305]) ).

fof(f1099,plain,
    ( sQ31_eqProxy(sK2,sK3)
    | ~ rpoint(sK4)
    | ~ rpoint(sK5)
    | ~ rpoint(sK6)
    | ~ sQ31_eqProxy(vf(sK1,sK2),vf(sK4,sK5))
    | ~ sQ31_eqProxy(vf(sK1,sK3),vf(sK4,sK6))
    | ~ sQ31_eqProxy(vangle(sK2,sK1,sK3),vangle(sK5,sK4,sK6))
    | ron(sK6,sK12(sK4,sK5,sK6)) ),
    inference(subsumption_resolution,[],[f1098,f903]) ).

fof(f903,plain,
    ~ sQ31_eqProxy(sK1,sK3),
    inference(equality_proxy_replacement,[],[f498,f900]) ).

fof(f498,plain,
    sK1 != sK3,
    inference(definition_unfolding,[],[f374,f380,f376]) ).

fof(f374,plain,
    vd1156 != vd1158,
    inference(cnf_transformation,[],[f305]) ).

fof(f1098,plain,
    ( sQ31_eqProxy(sK1,sK3)
    | sQ31_eqProxy(sK2,sK3)
    | ~ rpoint(sK4)
    | ~ rpoint(sK5)
    | ~ rpoint(sK6)
    | ~ sQ31_eqProxy(vf(sK1,sK2),vf(sK4,sK5))
    | ~ sQ31_eqProxy(vf(sK1,sK3),vf(sK4,sK6))
    | ~ sQ31_eqProxy(vangle(sK2,sK1,sK3),vangle(sK5,sK4,sK6))
    | ron(sK6,sK12(sK4,sK5,sK6)) ),
    inference(subsumption_resolution,[],[f1097,f902]) ).

fof(f902,plain,
    ~ sQ31_eqProxy(sK1,sK2),
    inference(equality_proxy_replacement,[],[f497,f900]) ).

fof(f497,plain,
    sK1 != sK2,
    inference(definition_unfolding,[],[f375,f380,f378]) ).

fof(f375,plain,
    vd1156 != vd1157,
    inference(cnf_transformation,[],[f305]) ).

fof(f1097,plain,
    ( sQ31_eqProxy(sK1,sK2)
    | sQ31_eqProxy(sK1,sK3)
    | sQ31_eqProxy(sK2,sK3)
    | ~ rpoint(sK4)
    | ~ rpoint(sK5)
    | ~ rpoint(sK6)
    | ~ sQ31_eqProxy(vf(sK1,sK2),vf(sK4,sK5))
    | ~ sQ31_eqProxy(vf(sK1,sK3),vf(sK4,sK6))
    | ~ sQ31_eqProxy(vangle(sK2,sK1,sK3),vangle(sK5,sK4,sK6))
    | ron(sK6,sK12(sK4,sK5,sK6)) ),
    inference(subsumption_resolution,[],[f1096,f377]) ).

fof(f377,plain,
    rpoint(sK3),
    inference(cnf_transformation,[],[f305]) ).

fof(f1096,plain,
    ( ~ rpoint(sK3)
    | sQ31_eqProxy(sK1,sK2)
    | sQ31_eqProxy(sK1,sK3)
    | sQ31_eqProxy(sK2,sK3)
    | ~ rpoint(sK4)
    | ~ rpoint(sK5)
    | ~ rpoint(sK6)
    | ~ sQ31_eqProxy(vf(sK1,sK2),vf(sK4,sK5))
    | ~ sQ31_eqProxy(vf(sK1,sK3),vf(sK4,sK6))
    | ~ sQ31_eqProxy(vangle(sK2,sK1,sK3),vangle(sK5,sK4,sK6))
    | ron(sK6,sK12(sK4,sK5,sK6)) ),
    inference(subsumption_resolution,[],[f1095,f379]) ).

fof(f379,plain,
    rpoint(sK2),
    inference(cnf_transformation,[],[f305]) ).

fof(f1095,plain,
    ( ~ rpoint(sK2)
    | ~ rpoint(sK3)
    | sQ31_eqProxy(sK1,sK2)
    | sQ31_eqProxy(sK1,sK3)
    | sQ31_eqProxy(sK2,sK3)
    | ~ rpoint(sK4)
    | ~ rpoint(sK5)
    | ~ rpoint(sK6)
    | ~ sQ31_eqProxy(vf(sK1,sK2),vf(sK4,sK5))
    | ~ sQ31_eqProxy(vf(sK1,sK3),vf(sK4,sK6))
    | ~ sQ31_eqProxy(vangle(sK2,sK1,sK3),vangle(sK5,sK4,sK6))
    | ron(sK6,sK12(sK4,sK5,sK6)) ),
    inference(subsumption_resolution,[],[f981,f381]) ).

fof(f381,plain,
    rpoint(sK1),
    inference(cnf_transformation,[],[f305]) ).

fof(f981,plain,
    ( ~ rpoint(sK1)
    | ~ rpoint(sK2)
    | ~ rpoint(sK3)
    | sQ31_eqProxy(sK1,sK2)
    | sQ31_eqProxy(sK1,sK3)
    | sQ31_eqProxy(sK2,sK3)
    | ~ rpoint(sK4)
    | ~ rpoint(sK5)
    | ~ rpoint(sK6)
    | ~ sQ31_eqProxy(vf(sK1,sK2),vf(sK4,sK5))
    | ~ sQ31_eqProxy(vf(sK1,sK3),vf(sK4,sK6))
    | ~ sQ31_eqProxy(vangle(sK2,sK1,sK3),vangle(sK5,sK4,sK6))
    | ron(sK6,sK12(sK4,sK5,sK6)) ),
    inference(resolution,[],[f901,f933]) ).

fof(f933,plain,
    ! [X10,X11,X8,X6,X9,X7] :
      ( sQ31_eqProxy(vangle(X6,X8,X7),vangle(X9,X11,X10))
      | ~ rpoint(X6)
      | ~ rpoint(X7)
      | ~ rpoint(X8)
      | sQ31_eqProxy(X6,X7)
      | sQ31_eqProxy(X6,X8)
      | sQ31_eqProxy(X7,X8)
      | ~ rpoint(X9)
      | ~ rpoint(X10)
      | ~ rpoint(X11)
      | ~ sQ31_eqProxy(vf(X6,X7),vf(X9,X10))
      | ~ sQ31_eqProxy(vf(X6,X8),vf(X9,X11))
      | ~ sQ31_eqProxy(vangle(X7,X6,X8),vangle(X10,X9,X11))
      | ron(X11,sK12(X9,X10,X11)) ),
    inference(equality_proxy_replacement,[],[f621,f900,f900,f900,f900,f900,f900,f900]) ).

fof(f621,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,sK12(X9,X10,X11)) ),
    inference(equality_resolution,[],[f620]) ).

fof(f620,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,sK12(X9,X10,X5)) ),
    inference(equality_resolution,[],[f619]) ).

fof(f619,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,sK12(X9,X4,X5)) ),
    inference(equality_resolution,[],[f618]) ).

fof(f618,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,sK12(X3,X4,X5)) ),
    inference(equality_resolution,[],[f617]) ).

fof(f617,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,sK12(X3,X4,X5)) ),
    inference(equality_resolution,[],[f616]) ).

fof(f616,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,sK12(X3,X4,X5)) ),
    inference(equality_resolution,[],[f410]) ).

fof(f410,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,sK12(X3,X4,X5)) ),
    inference(cnf_transformation,[],[f315]) ).

fof(f315,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(sK12(X3,X4,X5))
        & ron(X3,sK12(X3,X4,X5))
        & ron(X4,sK12(X3,X4,X5))
        & ron(X5,sK12(X3,X4,X5)) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK12])],[f218,f314]) ).

fof(f314,plain,
    ! [X3,X4,X5] :
      ( ? [X12] :
          ( rline(X12)
          & ron(X3,X12)
          & ron(X4,X12)
          & ron(X5,X12) )
     => ( rline(sK12(X3,X4,X5))
        & ron(X3,sK12(X3,X4,X5))
        & ron(X4,sK12(X3,X4,X5))
        & ron(X5,sK12(X3,X4,X5)) ) ),
    introduced(choice_axiom,[]) ).

fof(f218,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,[],[f217]) ).

fof(f217,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,[],[f166]) ).

fof(f166,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','ass(cond(proof(267), 0), 0)') ).

fof(f901,plain,
    ~ sQ31_eqProxy(vangle(sK1,sK3,sK2),vangle(sK4,sK6,sK5)),
    inference(equality_proxy_replacement,[],[f496,f900]) ).

fof(f496,plain,
    vangle(sK1,sK3,sK2) != vangle(sK4,sK6,sK5),
    inference(definition_unfolding,[],[f362,f380,f376,f378,f371,f367,f369]) ).

fof(f362,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','holds(conjunct2(conjunct2(266)), 1177, 0)') ).

fof(f1173,plain,
    ~ ron(sK6,sK12(sK4,sK5,sK6)),
    inference(subsumption_resolution,[],[f1172,f1094]) ).

fof(f1094,plain,
    ron(sK5,sK12(sK4,sK5,sK6)),
    inference(subsumption_resolution,[],[f1093,f907]) ).

fof(f1093,plain,
    ( ~ sQ31_eqProxy(vangle(sK2,sK1,sK3),vangle(sK5,sK4,sK6))
    | ron(sK5,sK12(sK4,sK5,sK6)) ),
    inference(subsumption_resolution,[],[f1092,f906]) ).

fof(f1092,plain,
    ( ~ sQ31_eqProxy(vf(sK1,sK3),vf(sK4,sK6))
    | ~ sQ31_eqProxy(vangle(sK2,sK1,sK3),vangle(sK5,sK4,sK6))
    | ron(sK5,sK12(sK4,sK5,sK6)) ),
    inference(subsumption_resolution,[],[f1091,f905]) ).

fof(f1091,plain,
    ( ~ sQ31_eqProxy(vf(sK1,sK2),vf(sK4,sK5))
    | ~ sQ31_eqProxy(vf(sK1,sK3),vf(sK4,sK6))
    | ~ sQ31_eqProxy(vangle(sK2,sK1,sK3),vangle(sK5,sK4,sK6))
    | ron(sK5,sK12(sK4,sK5,sK6)) ),
    inference(subsumption_resolution,[],[f1090,f368]) ).

fof(f1090,plain,
    ( ~ rpoint(sK6)
    | ~ sQ31_eqProxy(vf(sK1,sK2),vf(sK4,sK5))
    | ~ sQ31_eqProxy(vf(sK1,sK3),vf(sK4,sK6))
    | ~ sQ31_eqProxy(vangle(sK2,sK1,sK3),vangle(sK5,sK4,sK6))
    | ron(sK5,sK12(sK4,sK5,sK6)) ),
    inference(subsumption_resolution,[],[f1089,f370]) ).

fof(f1089,plain,
    ( ~ rpoint(sK5)
    | ~ rpoint(sK6)
    | ~ sQ31_eqProxy(vf(sK1,sK2),vf(sK4,sK5))
    | ~ sQ31_eqProxy(vf(sK1,sK3),vf(sK4,sK6))
    | ~ sQ31_eqProxy(vangle(sK2,sK1,sK3),vangle(sK5,sK4,sK6))
    | ron(sK5,sK12(sK4,sK5,sK6)) ),
    inference(subsumption_resolution,[],[f1088,f372]) ).

fof(f1088,plain,
    ( ~ rpoint(sK4)
    | ~ rpoint(sK5)
    | ~ rpoint(sK6)
    | ~ sQ31_eqProxy(vf(sK1,sK2),vf(sK4,sK5))
    | ~ sQ31_eqProxy(vf(sK1,sK3),vf(sK4,sK6))
    | ~ sQ31_eqProxy(vangle(sK2,sK1,sK3),vangle(sK5,sK4,sK6))
    | ron(sK5,sK12(sK4,sK5,sK6)) ),
    inference(subsumption_resolution,[],[f1087,f904]) ).

fof(f1087,plain,
    ( sQ31_eqProxy(sK2,sK3)
    | ~ rpoint(sK4)
    | ~ rpoint(sK5)
    | ~ rpoint(sK6)
    | ~ sQ31_eqProxy(vf(sK1,sK2),vf(sK4,sK5))
    | ~ sQ31_eqProxy(vf(sK1,sK3),vf(sK4,sK6))
    | ~ sQ31_eqProxy(vangle(sK2,sK1,sK3),vangle(sK5,sK4,sK6))
    | ron(sK5,sK12(sK4,sK5,sK6)) ),
    inference(subsumption_resolution,[],[f1086,f903]) ).

fof(f1086,plain,
    ( sQ31_eqProxy(sK1,sK3)
    | sQ31_eqProxy(sK2,sK3)
    | ~ rpoint(sK4)
    | ~ rpoint(sK5)
    | ~ rpoint(sK6)
    | ~ sQ31_eqProxy(vf(sK1,sK2),vf(sK4,sK5))
    | ~ sQ31_eqProxy(vf(sK1,sK3),vf(sK4,sK6))
    | ~ sQ31_eqProxy(vangle(sK2,sK1,sK3),vangle(sK5,sK4,sK6))
    | ron(sK5,sK12(sK4,sK5,sK6)) ),
    inference(subsumption_resolution,[],[f1085,f902]) ).

fof(f1085,plain,
    ( sQ31_eqProxy(sK1,sK2)
    | sQ31_eqProxy(sK1,sK3)
    | sQ31_eqProxy(sK2,sK3)
    | ~ rpoint(sK4)
    | ~ rpoint(sK5)
    | ~ rpoint(sK6)
    | ~ sQ31_eqProxy(vf(sK1,sK2),vf(sK4,sK5))
    | ~ sQ31_eqProxy(vf(sK1,sK3),vf(sK4,sK6))
    | ~ sQ31_eqProxy(vangle(sK2,sK1,sK3),vangle(sK5,sK4,sK6))
    | ron(sK5,sK12(sK4,sK5,sK6)) ),
    inference(subsumption_resolution,[],[f1084,f377]) ).

fof(f1084,plain,
    ( ~ rpoint(sK3)
    | sQ31_eqProxy(sK1,sK2)
    | sQ31_eqProxy(sK1,sK3)
    | sQ31_eqProxy(sK2,sK3)
    | ~ rpoint(sK4)
    | ~ rpoint(sK5)
    | ~ rpoint(sK6)
    | ~ sQ31_eqProxy(vf(sK1,sK2),vf(sK4,sK5))
    | ~ sQ31_eqProxy(vf(sK1,sK3),vf(sK4,sK6))
    | ~ sQ31_eqProxy(vangle(sK2,sK1,sK3),vangle(sK5,sK4,sK6))
    | ron(sK5,sK12(sK4,sK5,sK6)) ),
    inference(subsumption_resolution,[],[f1083,f379]) ).

fof(f1083,plain,
    ( ~ rpoint(sK2)
    | ~ rpoint(sK3)
    | sQ31_eqProxy(sK1,sK2)
    | sQ31_eqProxy(sK1,sK3)
    | sQ31_eqProxy(sK2,sK3)
    | ~ rpoint(sK4)
    | ~ rpoint(sK5)
    | ~ rpoint(sK6)
    | ~ sQ31_eqProxy(vf(sK1,sK2),vf(sK4,sK5))
    | ~ sQ31_eqProxy(vf(sK1,sK3),vf(sK4,sK6))
    | ~ sQ31_eqProxy(vangle(sK2,sK1,sK3),vangle(sK5,sK4,sK6))
    | ron(sK5,sK12(sK4,sK5,sK6)) ),
    inference(subsumption_resolution,[],[f980,f381]) ).

fof(f980,plain,
    ( ~ rpoint(sK1)
    | ~ rpoint(sK2)
    | ~ rpoint(sK3)
    | sQ31_eqProxy(sK1,sK2)
    | sQ31_eqProxy(sK1,sK3)
    | sQ31_eqProxy(sK2,sK3)
    | ~ rpoint(sK4)
    | ~ rpoint(sK5)
    | ~ rpoint(sK6)
    | ~ sQ31_eqProxy(vf(sK1,sK2),vf(sK4,sK5))
    | ~ sQ31_eqProxy(vf(sK1,sK3),vf(sK4,sK6))
    | ~ sQ31_eqProxy(vangle(sK2,sK1,sK3),vangle(sK5,sK4,sK6))
    | ron(sK5,sK12(sK4,sK5,sK6)) ),
    inference(resolution,[],[f901,f932]) ).

fof(f932,plain,
    ! [X10,X11,X8,X6,X9,X7] :
      ( sQ31_eqProxy(vangle(X6,X8,X7),vangle(X9,X11,X10))
      | ~ rpoint(X6)
      | ~ rpoint(X7)
      | ~ rpoint(X8)
      | sQ31_eqProxy(X6,X7)
      | sQ31_eqProxy(X6,X8)
      | sQ31_eqProxy(X7,X8)
      | ~ rpoint(X9)
      | ~ rpoint(X10)
      | ~ rpoint(X11)
      | ~ sQ31_eqProxy(vf(X6,X7),vf(X9,X10))
      | ~ sQ31_eqProxy(vf(X6,X8),vf(X9,X11))
      | ~ sQ31_eqProxy(vangle(X7,X6,X8),vangle(X10,X9,X11))
      | ron(X10,sK12(X9,X10,X11)) ),
    inference(equality_proxy_replacement,[],[f615,f900,f900,f900,f900,f900,f900,f900]) ).

fof(f615,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,sK12(X9,X10,X11)) ),
    inference(equality_resolution,[],[f614]) ).

fof(f614,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,sK12(X9,X10,X5)) ),
    inference(equality_resolution,[],[f613]) ).

fof(f613,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,sK12(X9,X4,X5)) ),
    inference(equality_resolution,[],[f612]) ).

fof(f612,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,sK12(X3,X4,X5)) ),
    inference(equality_resolution,[],[f611]) ).

fof(f611,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,sK12(X3,X4,X5)) ),
    inference(equality_resolution,[],[f610]) ).

fof(f610,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,sK12(X3,X4,X5)) ),
    inference(equality_resolution,[],[f411]) ).

fof(f411,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,sK12(X3,X4,X5)) ),
    inference(cnf_transformation,[],[f315]) ).

fof(f1172,plain,
    ( ~ ron(sK5,sK12(sK4,sK5,sK6))
    | ~ ron(sK6,sK12(sK4,sK5,sK6)) ),
    inference(subsumption_resolution,[],[f1161,f1082]) ).

fof(f1082,plain,
    ron(sK4,sK12(sK4,sK5,sK6)),
    inference(subsumption_resolution,[],[f1081,f907]) ).

fof(f1081,plain,
    ( ~ sQ31_eqProxy(vangle(sK2,sK1,sK3),vangle(sK5,sK4,sK6))
    | ron(sK4,sK12(sK4,sK5,sK6)) ),
    inference(subsumption_resolution,[],[f1080,f906]) ).

fof(f1080,plain,
    ( ~ sQ31_eqProxy(vf(sK1,sK3),vf(sK4,sK6))
    | ~ sQ31_eqProxy(vangle(sK2,sK1,sK3),vangle(sK5,sK4,sK6))
    | ron(sK4,sK12(sK4,sK5,sK6)) ),
    inference(subsumption_resolution,[],[f1079,f905]) ).

fof(f1079,plain,
    ( ~ sQ31_eqProxy(vf(sK1,sK2),vf(sK4,sK5))
    | ~ sQ31_eqProxy(vf(sK1,sK3),vf(sK4,sK6))
    | ~ sQ31_eqProxy(vangle(sK2,sK1,sK3),vangle(sK5,sK4,sK6))
    | ron(sK4,sK12(sK4,sK5,sK6)) ),
    inference(subsumption_resolution,[],[f1078,f368]) ).

fof(f1078,plain,
    ( ~ rpoint(sK6)
    | ~ sQ31_eqProxy(vf(sK1,sK2),vf(sK4,sK5))
    | ~ sQ31_eqProxy(vf(sK1,sK3),vf(sK4,sK6))
    | ~ sQ31_eqProxy(vangle(sK2,sK1,sK3),vangle(sK5,sK4,sK6))
    | ron(sK4,sK12(sK4,sK5,sK6)) ),
    inference(subsumption_resolution,[],[f1077,f370]) ).

fof(f1077,plain,
    ( ~ rpoint(sK5)
    | ~ rpoint(sK6)
    | ~ sQ31_eqProxy(vf(sK1,sK2),vf(sK4,sK5))
    | ~ sQ31_eqProxy(vf(sK1,sK3),vf(sK4,sK6))
    | ~ sQ31_eqProxy(vangle(sK2,sK1,sK3),vangle(sK5,sK4,sK6))
    | ron(sK4,sK12(sK4,sK5,sK6)) ),
    inference(subsumption_resolution,[],[f1076,f372]) ).

fof(f1076,plain,
    ( ~ rpoint(sK4)
    | ~ rpoint(sK5)
    | ~ rpoint(sK6)
    | ~ sQ31_eqProxy(vf(sK1,sK2),vf(sK4,sK5))
    | ~ sQ31_eqProxy(vf(sK1,sK3),vf(sK4,sK6))
    | ~ sQ31_eqProxy(vangle(sK2,sK1,sK3),vangle(sK5,sK4,sK6))
    | ron(sK4,sK12(sK4,sK5,sK6)) ),
    inference(subsumption_resolution,[],[f1075,f904]) ).

fof(f1075,plain,
    ( sQ31_eqProxy(sK2,sK3)
    | ~ rpoint(sK4)
    | ~ rpoint(sK5)
    | ~ rpoint(sK6)
    | ~ sQ31_eqProxy(vf(sK1,sK2),vf(sK4,sK5))
    | ~ sQ31_eqProxy(vf(sK1,sK3),vf(sK4,sK6))
    | ~ sQ31_eqProxy(vangle(sK2,sK1,sK3),vangle(sK5,sK4,sK6))
    | ron(sK4,sK12(sK4,sK5,sK6)) ),
    inference(subsumption_resolution,[],[f1074,f903]) ).

fof(f1074,plain,
    ( sQ31_eqProxy(sK1,sK3)
    | sQ31_eqProxy(sK2,sK3)
    | ~ rpoint(sK4)
    | ~ rpoint(sK5)
    | ~ rpoint(sK6)
    | ~ sQ31_eqProxy(vf(sK1,sK2),vf(sK4,sK5))
    | ~ sQ31_eqProxy(vf(sK1,sK3),vf(sK4,sK6))
    | ~ sQ31_eqProxy(vangle(sK2,sK1,sK3),vangle(sK5,sK4,sK6))
    | ron(sK4,sK12(sK4,sK5,sK6)) ),
    inference(subsumption_resolution,[],[f1073,f902]) ).

fof(f1073,plain,
    ( sQ31_eqProxy(sK1,sK2)
    | sQ31_eqProxy(sK1,sK3)
    | sQ31_eqProxy(sK2,sK3)
    | ~ rpoint(sK4)
    | ~ rpoint(sK5)
    | ~ rpoint(sK6)
    | ~ sQ31_eqProxy(vf(sK1,sK2),vf(sK4,sK5))
    | ~ sQ31_eqProxy(vf(sK1,sK3),vf(sK4,sK6))
    | ~ sQ31_eqProxy(vangle(sK2,sK1,sK3),vangle(sK5,sK4,sK6))
    | ron(sK4,sK12(sK4,sK5,sK6)) ),
    inference(subsumption_resolution,[],[f1072,f377]) ).

fof(f1072,plain,
    ( ~ rpoint(sK3)
    | sQ31_eqProxy(sK1,sK2)
    | sQ31_eqProxy(sK1,sK3)
    | sQ31_eqProxy(sK2,sK3)
    | ~ rpoint(sK4)
    | ~ rpoint(sK5)
    | ~ rpoint(sK6)
    | ~ sQ31_eqProxy(vf(sK1,sK2),vf(sK4,sK5))
    | ~ sQ31_eqProxy(vf(sK1,sK3),vf(sK4,sK6))
    | ~ sQ31_eqProxy(vangle(sK2,sK1,sK3),vangle(sK5,sK4,sK6))
    | ron(sK4,sK12(sK4,sK5,sK6)) ),
    inference(subsumption_resolution,[],[f1071,f379]) ).

fof(f1071,plain,
    ( ~ rpoint(sK2)
    | ~ rpoint(sK3)
    | sQ31_eqProxy(sK1,sK2)
    | sQ31_eqProxy(sK1,sK3)
    | sQ31_eqProxy(sK2,sK3)
    | ~ rpoint(sK4)
    | ~ rpoint(sK5)
    | ~ rpoint(sK6)
    | ~ sQ31_eqProxy(vf(sK1,sK2),vf(sK4,sK5))
    | ~ sQ31_eqProxy(vf(sK1,sK3),vf(sK4,sK6))
    | ~ sQ31_eqProxy(vangle(sK2,sK1,sK3),vangle(sK5,sK4,sK6))
    | ron(sK4,sK12(sK4,sK5,sK6)) ),
    inference(subsumption_resolution,[],[f979,f381]) ).

fof(f979,plain,
    ( ~ rpoint(sK1)
    | ~ rpoint(sK2)
    | ~ rpoint(sK3)
    | sQ31_eqProxy(sK1,sK2)
    | sQ31_eqProxy(sK1,sK3)
    | sQ31_eqProxy(sK2,sK3)
    | ~ rpoint(sK4)
    | ~ rpoint(sK5)
    | ~ rpoint(sK6)
    | ~ sQ31_eqProxy(vf(sK1,sK2),vf(sK4,sK5))
    | ~ sQ31_eqProxy(vf(sK1,sK3),vf(sK4,sK6))
    | ~ sQ31_eqProxy(vangle(sK2,sK1,sK3),vangle(sK5,sK4,sK6))
    | ron(sK4,sK12(sK4,sK5,sK6)) ),
    inference(resolution,[],[f901,f931]) ).

fof(f931,plain,
    ! [X10,X11,X8,X6,X9,X7] :
      ( sQ31_eqProxy(vangle(X6,X8,X7),vangle(X9,X11,X10))
      | ~ rpoint(X6)
      | ~ rpoint(X7)
      | ~ rpoint(X8)
      | sQ31_eqProxy(X6,X7)
      | sQ31_eqProxy(X6,X8)
      | sQ31_eqProxy(X7,X8)
      | ~ rpoint(X9)
      | ~ rpoint(X10)
      | ~ rpoint(X11)
      | ~ sQ31_eqProxy(vf(X6,X7),vf(X9,X10))
      | ~ sQ31_eqProxy(vf(X6,X8),vf(X9,X11))
      | ~ sQ31_eqProxy(vangle(X7,X6,X8),vangle(X10,X9,X11))
      | ron(X9,sK12(X9,X10,X11)) ),
    inference(equality_proxy_replacement,[],[f609,f900,f900,f900,f900,f900,f900,f900]) ).

fof(f609,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,sK12(X9,X10,X11)) ),
    inference(equality_resolution,[],[f608]) ).

fof(f608,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,sK12(X9,X10,X5)) ),
    inference(equality_resolution,[],[f607]) ).

fof(f607,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,sK12(X9,X4,X5)) ),
    inference(equality_resolution,[],[f606]) ).

fof(f606,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,sK12(X3,X4,X5)) ),
    inference(equality_resolution,[],[f605]) ).

fof(f605,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,sK12(X3,X4,X5)) ),
    inference(equality_resolution,[],[f604]) ).

fof(f604,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,sK12(X3,X4,X5)) ),
    inference(equality_resolution,[],[f412]) ).

fof(f412,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,sK12(X3,X4,X5)) ),
    inference(cnf_transformation,[],[f315]) ).

fof(f1161,plain,
    ( ~ ron(sK4,sK12(sK4,sK5,sK6))
    | ~ ron(sK5,sK12(sK4,sK5,sK6))
    | ~ ron(sK6,sK12(sK4,sK5,sK6)) ),
    inference(resolution,[],[f1070,f503]) ).

fof(f503,plain,
    ! [X6] :
      ( ~ rline(X6)
      | ~ ron(sK4,X6)
      | ~ ron(sK5,X6)
      | ~ ron(sK6,X6) ),
    inference(definition_unfolding,[],[f363,f371,f369,f367]) ).

fof(f363,plain,
    ! [X6] :
      ( ~ rline(X6)
      | ~ ron(vd1163,X6)
      | ~ ron(vd1164,X6)
      | ~ ron(vd1165,X6) ),
    inference(cnf_transformation,[],[f305]) ).

fof(f1070,plain,
    rline(sK12(sK4,sK5,sK6)),
    inference(subsumption_resolution,[],[f1069,f907]) ).

fof(f1069,plain,
    ( ~ sQ31_eqProxy(vangle(sK2,sK1,sK3),vangle(sK5,sK4,sK6))
    | rline(sK12(sK4,sK5,sK6)) ),
    inference(subsumption_resolution,[],[f1068,f906]) ).

fof(f1068,plain,
    ( ~ sQ31_eqProxy(vf(sK1,sK3),vf(sK4,sK6))
    | ~ sQ31_eqProxy(vangle(sK2,sK1,sK3),vangle(sK5,sK4,sK6))
    | rline(sK12(sK4,sK5,sK6)) ),
    inference(subsumption_resolution,[],[f1067,f905]) ).

fof(f1067,plain,
    ( ~ sQ31_eqProxy(vf(sK1,sK2),vf(sK4,sK5))
    | ~ sQ31_eqProxy(vf(sK1,sK3),vf(sK4,sK6))
    | ~ sQ31_eqProxy(vangle(sK2,sK1,sK3),vangle(sK5,sK4,sK6))
    | rline(sK12(sK4,sK5,sK6)) ),
    inference(subsumption_resolution,[],[f1066,f368]) ).

fof(f1066,plain,
    ( ~ rpoint(sK6)
    | ~ sQ31_eqProxy(vf(sK1,sK2),vf(sK4,sK5))
    | ~ sQ31_eqProxy(vf(sK1,sK3),vf(sK4,sK6))
    | ~ sQ31_eqProxy(vangle(sK2,sK1,sK3),vangle(sK5,sK4,sK6))
    | rline(sK12(sK4,sK5,sK6)) ),
    inference(subsumption_resolution,[],[f1065,f370]) ).

fof(f1065,plain,
    ( ~ rpoint(sK5)
    | ~ rpoint(sK6)
    | ~ sQ31_eqProxy(vf(sK1,sK2),vf(sK4,sK5))
    | ~ sQ31_eqProxy(vf(sK1,sK3),vf(sK4,sK6))
    | ~ sQ31_eqProxy(vangle(sK2,sK1,sK3),vangle(sK5,sK4,sK6))
    | rline(sK12(sK4,sK5,sK6)) ),
    inference(subsumption_resolution,[],[f1064,f372]) ).

fof(f1064,plain,
    ( ~ rpoint(sK4)
    | ~ rpoint(sK5)
    | ~ rpoint(sK6)
    | ~ sQ31_eqProxy(vf(sK1,sK2),vf(sK4,sK5))
    | ~ sQ31_eqProxy(vf(sK1,sK3),vf(sK4,sK6))
    | ~ sQ31_eqProxy(vangle(sK2,sK1,sK3),vangle(sK5,sK4,sK6))
    | rline(sK12(sK4,sK5,sK6)) ),
    inference(subsumption_resolution,[],[f1063,f904]) ).

fof(f1063,plain,
    ( sQ31_eqProxy(sK2,sK3)
    | ~ rpoint(sK4)
    | ~ rpoint(sK5)
    | ~ rpoint(sK6)
    | ~ sQ31_eqProxy(vf(sK1,sK2),vf(sK4,sK5))
    | ~ sQ31_eqProxy(vf(sK1,sK3),vf(sK4,sK6))
    | ~ sQ31_eqProxy(vangle(sK2,sK1,sK3),vangle(sK5,sK4,sK6))
    | rline(sK12(sK4,sK5,sK6)) ),
    inference(subsumption_resolution,[],[f1062,f903]) ).

fof(f1062,plain,
    ( sQ31_eqProxy(sK1,sK3)
    | sQ31_eqProxy(sK2,sK3)
    | ~ rpoint(sK4)
    | ~ rpoint(sK5)
    | ~ rpoint(sK6)
    | ~ sQ31_eqProxy(vf(sK1,sK2),vf(sK4,sK5))
    | ~ sQ31_eqProxy(vf(sK1,sK3),vf(sK4,sK6))
    | ~ sQ31_eqProxy(vangle(sK2,sK1,sK3),vangle(sK5,sK4,sK6))
    | rline(sK12(sK4,sK5,sK6)) ),
    inference(subsumption_resolution,[],[f1061,f902]) ).

fof(f1061,plain,
    ( sQ31_eqProxy(sK1,sK2)
    | sQ31_eqProxy(sK1,sK3)
    | sQ31_eqProxy(sK2,sK3)
    | ~ rpoint(sK4)
    | ~ rpoint(sK5)
    | ~ rpoint(sK6)
    | ~ sQ31_eqProxy(vf(sK1,sK2),vf(sK4,sK5))
    | ~ sQ31_eqProxy(vf(sK1,sK3),vf(sK4,sK6))
    | ~ sQ31_eqProxy(vangle(sK2,sK1,sK3),vangle(sK5,sK4,sK6))
    | rline(sK12(sK4,sK5,sK6)) ),
    inference(subsumption_resolution,[],[f1060,f377]) ).

fof(f1060,plain,
    ( ~ rpoint(sK3)
    | sQ31_eqProxy(sK1,sK2)
    | sQ31_eqProxy(sK1,sK3)
    | sQ31_eqProxy(sK2,sK3)
    | ~ rpoint(sK4)
    | ~ rpoint(sK5)
    | ~ rpoint(sK6)
    | ~ sQ31_eqProxy(vf(sK1,sK2),vf(sK4,sK5))
    | ~ sQ31_eqProxy(vf(sK1,sK3),vf(sK4,sK6))
    | ~ sQ31_eqProxy(vangle(sK2,sK1,sK3),vangle(sK5,sK4,sK6))
    | rline(sK12(sK4,sK5,sK6)) ),
    inference(subsumption_resolution,[],[f1059,f379]) ).

fof(f1059,plain,
    ( ~ rpoint(sK2)
    | ~ rpoint(sK3)
    | sQ31_eqProxy(sK1,sK2)
    | sQ31_eqProxy(sK1,sK3)
    | sQ31_eqProxy(sK2,sK3)
    | ~ rpoint(sK4)
    | ~ rpoint(sK5)
    | ~ rpoint(sK6)
    | ~ sQ31_eqProxy(vf(sK1,sK2),vf(sK4,sK5))
    | ~ sQ31_eqProxy(vf(sK1,sK3),vf(sK4,sK6))
    | ~ sQ31_eqProxy(vangle(sK2,sK1,sK3),vangle(sK5,sK4,sK6))
    | rline(sK12(sK4,sK5,sK6)) ),
    inference(subsumption_resolution,[],[f978,f381]) ).

fof(f978,plain,
    ( ~ rpoint(sK1)
    | ~ rpoint(sK2)
    | ~ rpoint(sK3)
    | sQ31_eqProxy(sK1,sK2)
    | sQ31_eqProxy(sK1,sK3)
    | sQ31_eqProxy(sK2,sK3)
    | ~ rpoint(sK4)
    | ~ rpoint(sK5)
    | ~ rpoint(sK6)
    | ~ sQ31_eqProxy(vf(sK1,sK2),vf(sK4,sK5))
    | ~ sQ31_eqProxy(vf(sK1,sK3),vf(sK4,sK6))
    | ~ sQ31_eqProxy(vangle(sK2,sK1,sK3),vangle(sK5,sK4,sK6))
    | rline(sK12(sK4,sK5,sK6)) ),
    inference(resolution,[],[f901,f930]) ).

fof(f930,plain,
    ! [X10,X11,X8,X6,X9,X7] :
      ( sQ31_eqProxy(vangle(X6,X8,X7),vangle(X9,X11,X10))
      | ~ rpoint(X6)
      | ~ rpoint(X7)
      | ~ rpoint(X8)
      | sQ31_eqProxy(X6,X7)
      | sQ31_eqProxy(X6,X8)
      | sQ31_eqProxy(X7,X8)
      | ~ rpoint(X9)
      | ~ rpoint(X10)
      | ~ rpoint(X11)
      | ~ sQ31_eqProxy(vf(X6,X7),vf(X9,X10))
      | ~ sQ31_eqProxy(vf(X6,X8),vf(X9,X11))
      | ~ sQ31_eqProxy(vangle(X7,X6,X8),vangle(X10,X9,X11))
      | rline(sK12(X9,X10,X11)) ),
    inference(equality_proxy_replacement,[],[f603,f900,f900,f900,f900,f900,f900,f900]) ).

fof(f603,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(sK12(X9,X10,X11)) ),
    inference(equality_resolution,[],[f602]) ).

fof(f602,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(sK12(X9,X10,X5)) ),
    inference(equality_resolution,[],[f601]) ).

fof(f601,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(sK12(X9,X4,X5)) ),
    inference(equality_resolution,[],[f600]) ).

fof(f600,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(sK12(X3,X4,X5)) ),
    inference(equality_resolution,[],[f599]) ).

fof(f599,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(sK12(X3,X4,X5)) ),
    inference(equality_resolution,[],[f598]) ).

fof(f598,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(sK12(X3,X4,X5)) ),
    inference(equality_resolution,[],[f413]) ).

fof(f413,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(sK12(X3,X4,X5)) ),
    inference(cnf_transformation,[],[f315]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : GEO289+1 : TPTP v8.2.0. Released v4.1.0.
% 0.12/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.34  % Computer : n024.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Sun May 19 14:19:07 EDT 2024
% 0.14/0.34  % CPUTime    : 
% 0.14/0.34  This is a FOF_THM_RFO_SEQ problem
% 0.14/0.35  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.55/0.73  % (18952)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2996ds/56Mi)
% 0.55/0.73  % (18947)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.55/0.73  % (18946)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on theBenchmark for (2996ds/51Mi)
% 0.55/0.73  % (18950)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2996ds/45Mi)
% 0.55/0.74  % (18952)First to succeed.
% 0.55/0.74  % (18952)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-18944"
% 0.55/0.74  % (18951)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on theBenchmark for (2996ds/83Mi)
% 0.55/0.74  % (18952)Refutation found. Thanks to Tanya!
% 0.55/0.74  % SZS status Theorem for theBenchmark
% 0.55/0.74  % SZS output start Proof for theBenchmark
% See solution above
% 0.55/0.74  % (18952)------------------------------
% 0.55/0.74  % (18952)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.74  % (18952)Termination reason: Refutation
% 0.55/0.74  
% 0.55/0.74  % (18952)Memory used [KB]: 2027
% 0.55/0.74  % (18952)Time elapsed: 0.011 s
% 0.55/0.74  % (18952)Instructions burned: 38 (million)
% 0.55/0.74  % (18944)Success in time 0.391 s
% 0.55/0.74  % Vampire---4.8 exiting
%------------------------------------------------------------------------------