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Vampire---5.0.1.CAX-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : GEO302+1 : TPTP v9.3.1. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n008.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 09:52:23 AM UTC 2026

% Result   : ContradictoryAxioms 34.71s 5.79s
% Output   : Refutation 35.35s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   31
%            Number of leaves      :   39
% Syntax   : Number of formulae    :  396 (  79 unt;  26 def)
%            Number of atoms       : 2896 ( 680 equ)
%            Maximal formula atoms :   56 (   7 avg)
%            Number of connectives : 4361 (1861   ~;2320   |; 142   &)
%                                         (  31 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   70 (  10 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   31 (  29 usr;  26 prp; 0-3 aty)
%            Number of functors    :   19 (  19 usr;  16 con; 0-3 aty)
%            Number of variables   :  841 (   0 sgn 805   !;  36   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f40,axiom,
    ~ ron(vd1187,vd1197),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','neg(neg(270))') ).

fof(f41,axiom,
    ron(vd1186,vd1197),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(s2(plural(269)), 0)') ).

fof(f42,axiom,
    ron(vd1185,vd1197),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(s1(plural(269)), 0)') ).

fof(f43,axiom,
    rline(vd1197),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(269, 0)') ).

fof(f44,axiom,
    ( ~ ? [X0] :
          ( ron(vd1187,X0)
          & ron(vd1186,X0)
          & ron(vd1185,X0)
          & rline(X0) )
    & vangle(vd1179,vd1178,vd1180) = vangle(vd1186,vd1185,vd1187)
    & vf(vd1178,vd1180) = vf(vd1185,vd1187)
    & vf(vd1178,vd1179) = vf(vd1185,vd1186)
    & ? [X1] :
        ( vd1187 = X1
        & rpoint(X1) )
    & ? [X2] :
        ( vd1186 = X2
        & rpoint(X2) )
    & ? [X3] :
        ( vd1185 = X3
        & rpoint(X3) )
    & vd1179 != vd1180
    & vd1178 != vd1180
    & vd1178 != vd1179
    & ? [X4] :
        ( vd1180 = X4
        & rpoint(X4) )
    & ? [X5] :
        ( vd1179 = X5
        & rpoint(X5) )
    & ? [X6] :
        ( vd1178 = X6
        & rpoint(X6) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','and(neg(neg(conjunct2(conjunct2(conjunct2(plural(comma_conjunct2(268))))))), and(holds(conjunct1(conjunct2(conjunct2(plural(comma_conjunct2(268))))), 1194, 0), and(holds(conjunct1(conjunct2(plural(comma_conjunct2(268)))), 1193, 0), and(holds(conjunct1(plural(comma_conjunct2(268))), 1192, 0), and(qe(s3(plural(comma_conjunct2(268)))), and(qe(s2(plural(comma_conjunct2(268)))), and(qe(s1(plural(comma_conjunct2(268)))), and(pred(comma_conjunct1(268), 9), and(pred(comma_conjunct1(268), 8), and(pred(comma_conjunct1(268), 7), and(qe(s3(plural(268))), and(qe(s2(plural(268))), qe(s1(plural(268)))))))))))))))') ).

fof(f45,axiom,
    ! [X0,X1,X2] :
      ( ( X0 != X2
        & X0 != X1
        & ? [X3] :
            ( X2 = X3
            & rpoint(X3) )
        & ? [X4] :
            ( X1 = X4
            & rpoint(X4) )
        & ? [X5] :
            ( X0 = X5
            & rpoint(X5) ) )
     => vangle(X0,X1,X2) = vangle(X2,X1,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(168), 0), imp(cond(axiom(168), 0)))') ).

fof(f48,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ( ron(X2,X6)
        & ron(X0,X6)
        & X0 != X4
        & X0 != X2
        & X6 = X7
        & rline(X7)
        & X4 = X5
        & rpoint(X5)
        & X2 = X3
        & rpoint(X3)
        & X0 = X1
        & rpoint(X1) )
     => ( ( ~ rR(X0,X2,X4)
          & ron(X4,X6) )
      <=> vangle(X2,X0,X4) = v0 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(188), 0), imp(cond(axiom(188), 0)))') ).

fof(f51,axiom,
    ! [X0,X1] :
      ( ( X0 != X1
        & ? [X2] :
            ( X1 = X2
            & rpoint(X2) )
        & ? [X3] :
            ( X0 = X3
            & rpoint(X3) ) )
     => ? [X4] :
          ( ron(X1,X4)
          & ron(X0,X4)
          & rline(X4) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(51), 0), imp(cond(axiom(51), 0)))') ).

fof(f55,axiom,
    ! [X0,X1] :
      ( ( ? [X2] :
            ( X1 = X2
            & rpoint(X2) )
        & ? [X3] :
            ( X0 = X3
            & rpoint(X3) ) )
     => ( vf(X0,X1) = v0
      <=> X0 = X1 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(162), 0), imp(cond(axiom(162), 0)))') ).

fof(f58,axiom,
    ! [X0,X1] :
      ( ( ? [X2] :
            ( X1 = X2
            & rpoint(X2) )
        & ? [X3] :
            ( X0 = X3
            & rpoint(X3) ) )
     => vf(X0,X1) = vf(X1,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(166), 0), imp(cond(axiom(166), 0)))') ).

fof(f63,axiom,
    v0 = vd684,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(axiom(137), 2)') ).

fof(f67,axiom,
    ! [X0,X1,X2] :
      ( ( rR(X1,X0,X2)
        & ? [X3] :
            ( X2 = X3
            & rpoint(X3) )
        & ? [X4] :
            ( X1 = X4
            & rpoint(X4) )
        & ? [X5] :
            ( X0 = X5
            & rpoint(X5) ) )
     => ( ~ rR(X0,X1,X2)
        & X0 != X2
        & X0 != X1
        & rR(X1,X2,X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(81), 0), imp(cond(axiom(81), 0)))') ).

fof(f144,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ( ~ rR(X0,X2,X4)
        & ~ rR(X0,X1,X3)
        & X4 != X0
        & X3 != X0
        & X2 != X0
        & X1 != X0
        & ron(X4,X6)
        & ron(X2,X6)
        & ron(X3,X5)
        & ron(X1,X5)
        & ron(X0,X5)
        & ? [X7] :
            ( X6 = X7
            & rline(X7) )
        & ? [X8] :
            ( X5 = X8
            & rline(X8) )
        & ? [X9] :
            ( X4 = X9
            & rpoint(X9) )
        & ? [X10] :
            ( X3 = X10
            & rpoint(X10) )
        & ? [X11] :
            ( X2 = X11
            & rpoint(X11) )
        & ? [X12] :
            ( X1 = X12
            & rpoint(X12) )
        & ? [X13] :
            ( X0 = X13
            & rpoint(X13) ) )
     => vangle(X1,X0,X2) = vangle(X3,X0,X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(194), 0), imp(cond(axiom(194), 0)))') ).

fof(f232,plain,
    ( ! [X0] :
        ( ~ ron(vd1187,X0)
        | ~ ron(vd1186,X0)
        | ~ ron(vd1185,X0)
        | ~ rline(X0) )
    & vangle(vd1179,vd1178,vd1180) = vangle(vd1186,vd1185,vd1187)
    & vf(vd1178,vd1180) = vf(vd1185,vd1187)
    & vf(vd1178,vd1179) = vf(vd1185,vd1186)
    & ? [X1] :
        ( vd1187 = X1
        & rpoint(X1) )
    & ? [X2] :
        ( vd1186 = X2
        & rpoint(X2) )
    & ? [X3] :
        ( vd1185 = X3
        & rpoint(X3) )
    & vd1179 != vd1180
    & vd1178 != vd1180
    & vd1178 != vd1179
    & ? [X4] :
        ( vd1180 = X4
        & rpoint(X4) )
    & ? [X5] :
        ( vd1179 = X5
        & rpoint(X5) )
    & ? [X6] :
        ( vd1178 = X6
        & rpoint(X6) ) ),
    inference(ennf_transformation,[],[f44]) ).

fof(f233,plain,
    ! [X0,X1,X2] :
      ( vangle(X0,X1,X2) = vangle(X2,X1,X0)
      | X0 = X2
      | X0 = X1
      | ! [X3] :
          ( X2 != X3
          | ~ rpoint(X3) )
      | ! [X4] :
          ( X1 != X4
          | ~ rpoint(X4) )
      | ! [X5] :
          ( X0 != X5
          | ~ rpoint(X5) ) ),
    inference(ennf_transformation,[],[f45]) ).

fof(f234,plain,
    ! [X0,X1,X2] :
      ( vangle(X0,X1,X2) = vangle(X2,X1,X0)
      | X0 = X2
      | X0 = X1
      | ! [X3] :
          ( X2 != X3
          | ~ rpoint(X3) )
      | ! [X4] :
          ( X1 != X4
          | ~ rpoint(X4) )
      | ! [X5] :
          ( X0 != X5
          | ~ rpoint(X5) ) ),
    inference(flattening,[],[f233]) ).

fof(f239,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ( ( ~ rR(X0,X2,X4)
          & ron(X4,X6) )
      <=> vangle(X2,X0,X4) = v0 )
      | ~ ron(X2,X6)
      | ~ ron(X0,X6)
      | X0 = X4
      | X0 = X2
      | X6 != X7
      | ~ rline(X7)
      | X4 != X5
      | ~ rpoint(X5)
      | X2 != X3
      | ~ rpoint(X3)
      | X0 != X1
      | ~ rpoint(X1) ),
    inference(ennf_transformation,[],[f48]) ).

fof(f240,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ( ( ~ rR(X0,X2,X4)
          & ron(X4,X6) )
      <=> vangle(X2,X0,X4) = v0 )
      | ~ ron(X2,X6)
      | ~ ron(X0,X6)
      | X0 = X4
      | X0 = X2
      | X6 != X7
      | ~ rline(X7)
      | X4 != X5
      | ~ rpoint(X5)
      | X2 != X3
      | ~ rpoint(X3)
      | X0 != X1
      | ~ rpoint(X1) ),
    inference(flattening,[],[f239]) ).

fof(f245,plain,
    ! [X0,X1] :
      ( ? [X4] :
          ( ron(X1,X4)
          & ron(X0,X4)
          & rline(X4) )
      | X0 = X1
      | ! [X2] :
          ( X1 != X2
          | ~ rpoint(X2) )
      | ! [X3] :
          ( X0 != X3
          | ~ rpoint(X3) ) ),
    inference(ennf_transformation,[],[f51]) ).

fof(f246,plain,
    ! [X0,X1] :
      ( ? [X4] :
          ( ron(X1,X4)
          & ron(X0,X4)
          & rline(X4) )
      | X0 = X1
      | ! [X2] :
          ( X1 != X2
          | ~ rpoint(X2) )
      | ! [X3] :
          ( X0 != X3
          | ~ rpoint(X3) ) ),
    inference(flattening,[],[f245]) ).

fof(f253,plain,
    ! [X0,X1] :
      ( ( vf(X0,X1) = v0
      <=> X0 = X1 )
      | ! [X2] :
          ( X1 != X2
          | ~ rpoint(X2) )
      | ! [X3] :
          ( X0 != X3
          | ~ rpoint(X3) ) ),
    inference(ennf_transformation,[],[f55]) ).

fof(f254,plain,
    ! [X0,X1] :
      ( ( vf(X0,X1) = v0
      <=> X0 = X1 )
      | ! [X2] :
          ( X1 != X2
          | ~ rpoint(X2) )
      | ! [X3] :
          ( X0 != X3
          | ~ rpoint(X3) ) ),
    inference(flattening,[],[f253]) ).

fof(f259,plain,
    ! [X0,X1] :
      ( vf(X0,X1) = vf(X1,X0)
      | ! [X2] :
          ( X1 != X2
          | ~ rpoint(X2) )
      | ! [X3] :
          ( X0 != X3
          | ~ rpoint(X3) ) ),
    inference(ennf_transformation,[],[f58]) ).

fof(f260,plain,
    ! [X0,X1] :
      ( vf(X0,X1) = vf(X1,X0)
      | ! [X2] :
          ( X1 != X2
          | ~ rpoint(X2) )
      | ! [X3] :
          ( X0 != X3
          | ~ rpoint(X3) ) ),
    inference(flattening,[],[f259]) ).

fof(f273,plain,
    ! [X0,X1,X2] :
      ( ( ~ rR(X0,X1,X2)
        & X0 != X2
        & X0 != X1
        & rR(X1,X2,X0) )
      | ~ rR(X1,X0,X2)
      | ! [X3] :
          ( X2 != X3
          | ~ rpoint(X3) )
      | ! [X4] :
          ( X1 != X4
          | ~ rpoint(X4) )
      | ! [X5] :
          ( X0 != X5
          | ~ rpoint(X5) ) ),
    inference(ennf_transformation,[],[f67]) ).

fof(f274,plain,
    ! [X0,X1,X2] :
      ( ( ~ rR(X0,X1,X2)
        & X0 != X2
        & X0 != X1
        & rR(X1,X2,X0) )
      | ~ rR(X1,X0,X2)
      | ! [X3] :
          ( X2 != X3
          | ~ rpoint(X3) )
      | ! [X4] :
          ( X1 != X4
          | ~ rpoint(X4) )
      | ! [X5] :
          ( X0 != X5
          | ~ rpoint(X5) ) ),
    inference(flattening,[],[f273]) ).

fof(f421,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( vangle(X1,X0,X2) = vangle(X3,X0,X4)
      | rR(X0,X2,X4)
      | rR(X0,X1,X3)
      | X0 = X4
      | X0 = X3
      | X0 = X2
      | X0 = X1
      | ~ ron(X4,X6)
      | ~ ron(X2,X6)
      | ~ ron(X3,X5)
      | ~ ron(X1,X5)
      | ~ ron(X0,X5)
      | ! [X7] :
          ( X6 != X7
          | ~ rline(X7) )
      | ! [X8] :
          ( X5 != X8
          | ~ rline(X8) )
      | ! [X9] :
          ( X4 != X9
          | ~ rpoint(X9) )
      | ! [X10] :
          ( X3 != X10
          | ~ rpoint(X10) )
      | ! [X11] :
          ( X2 != X11
          | ~ rpoint(X11) )
      | ! [X12] :
          ( X1 != X12
          | ~ rpoint(X12) )
      | ! [X13] :
          ( X0 != X13
          | ~ rpoint(X13) ) ),
    inference(ennf_transformation,[],[f144]) ).

fof(f422,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( vangle(X1,X0,X2) = vangle(X3,X0,X4)
      | rR(X0,X2,X4)
      | rR(X0,X1,X3)
      | X0 = X4
      | X0 = X3
      | X0 = X2
      | X0 = X1
      | ~ ron(X4,X6)
      | ~ ron(X2,X6)
      | ~ ron(X3,X5)
      | ~ ron(X1,X5)
      | ~ ron(X0,X5)
      | ! [X7] :
          ( X6 != X7
          | ~ rline(X7) )
      | ! [X8] :
          ( X5 != X8
          | ~ rline(X8) )
      | ! [X9] :
          ( X4 != X9
          | ~ rpoint(X9) )
      | ! [X10] :
          ( X3 != X10
          | ~ rpoint(X10) )
      | ! [X11] :
          ( X2 != X11
          | ~ rpoint(X11) )
      | ! [X12] :
          ( X1 != X12
          | ~ rpoint(X12) )
      | ! [X13] :
          ( X0 != X13
          | ~ rpoint(X13) ) ),
    inference(flattening,[],[f421]) ).

fof(f439,plain,
    ( ! [X0] :
        ( ~ ron(vd1187,X0)
        | ~ ron(vd1186,X0)
        | ~ ron(vd1185,X0)
        | ~ rline(X0) )
    & vangle(vd1179,vd1178,vd1180) = vangle(vd1186,vd1185,vd1187)
    & vf(vd1178,vd1180) = vf(vd1185,vd1187)
    & vf(vd1178,vd1179) = vf(vd1185,vd1186)
    & vd1187 = sK1
    & rpoint(sK1)
    & vd1186 = sK2
    & rpoint(sK2)
    & vd1185 = sK3
    & rpoint(sK3)
    & vd1179 != vd1180
    & vd1178 != vd1180
    & vd1178 != vd1179
    & vd1180 = sK4
    & rpoint(sK4)
    & vd1179 = sK5
    & rpoint(sK5)
    & vd1178 = sK6
    & rpoint(sK6) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4,sK5,sK6]),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4),skolemize(X5,sK5),skolemize(X6,sK6)],[f232]) ).

fof(f444,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ( ( ( ~ rR(X0,X2,X4)
            & ron(X4,X6) )
          | vangle(X2,X0,X4) != v0 )
        & ( vangle(X2,X0,X4) = v0
          | rR(X0,X2,X4)
          | ~ ron(X4,X6) ) )
      | ~ ron(X2,X6)
      | ~ ron(X0,X6)
      | X0 = X4
      | X0 = X2
      | X6 != X7
      | ~ rline(X7)
      | X4 != X5
      | ~ rpoint(X5)
      | X2 != X3
      | ~ rpoint(X3)
      | X0 != X1
      | ~ rpoint(X1) ),
    inference(nnf_transformation,[],[f240]) ).

fof(f445,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ( ( ( ~ rR(X0,X2,X4)
            & ron(X4,X6) )
          | vangle(X2,X0,X4) != v0 )
        & ( vangle(X2,X0,X4) = v0
          | rR(X0,X2,X4)
          | ~ ron(X4,X6) ) )
      | ~ ron(X2,X6)
      | ~ ron(X0,X6)
      | X0 = X4
      | X0 = X2
      | X6 != X7
      | ~ rline(X7)
      | X4 != X5
      | ~ rpoint(X5)
      | X2 != X3
      | ~ rpoint(X3)
      | X0 != X1
      | ~ rpoint(X1) ),
    inference(flattening,[],[f444]) ).

fof(f446,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( ron(X1,X2)
          & ron(X0,X2)
          & rline(X2) )
      | X0 = X1
      | ! [X3] :
          ( X1 != X3
          | ~ rpoint(X3) )
      | ! [X4] :
          ( X0 != X4
          | ~ rpoint(X4) ) ),
    inference(rectify,[],[f246]) ).

fof(f447,plain,
    ! [X0,X1] :
      ( ( ron(X1,sK10(X0,X1))
        & ron(X0,sK10(X0,X1))
        & rline(sK10(X0,X1)) )
      | X0 = X1
      | ! [X3] :
          ( X1 != X3
          | ~ rpoint(X3) )
      | ! [X4] :
          ( X0 != X4
          | ~ rpoint(X4) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK10]),skolemize(X2,sK10(X0,X1))],[f446]) ).

fof(f448,plain,
    ! [X0,X1] :
      ( ( ( vf(X0,X1) = v0
          | X0 != X1 )
        & ( X0 = X1
          | vf(X0,X1) != v0 ) )
      | ! [X2] :
          ( X1 != X2
          | ~ rpoint(X2) )
      | ! [X3] :
          ( X0 != X3
          | ~ rpoint(X3) ) ),
    inference(nnf_transformation,[],[f254]) ).

fof(f550,plain,
    ~ ron(vd1187,vd1197),
    inference(cnf_transformation,[],[f40]) ).

fof(f551,plain,
    ron(vd1186,vd1197),
    inference(cnf_transformation,[],[f41]) ).

fof(f552,plain,
    ron(vd1185,vd1197),
    inference(cnf_transformation,[],[f42]) ).

fof(f553,plain,
    rline(vd1197),
    inference(cnf_transformation,[],[f43]) ).

fof(f554,plain,
    rpoint(sK6),
    inference(cnf_transformation,[],[f439]) ).

fof(f555,plain,
    vd1178 = sK6,
    inference(cnf_transformation,[],[f439]) ).

fof(f556,plain,
    rpoint(sK5),
    inference(cnf_transformation,[],[f439]) ).

fof(f557,plain,
    vd1179 = sK5,
    inference(cnf_transformation,[],[f439]) ).

fof(f558,plain,
    rpoint(sK4),
    inference(cnf_transformation,[],[f439]) ).

fof(f559,plain,
    vd1180 = sK4,
    inference(cnf_transformation,[],[f439]) ).

fof(f560,plain,
    vd1178 != vd1179,
    inference(cnf_transformation,[],[f439]) ).

fof(f561,plain,
    vd1178 != vd1180,
    inference(cnf_transformation,[],[f439]) ).

fof(f563,plain,
    rpoint(sK3),
    inference(cnf_transformation,[],[f439]) ).

fof(f564,plain,
    vd1185 = sK3,
    inference(cnf_transformation,[],[f439]) ).

fof(f565,plain,
    rpoint(sK2),
    inference(cnf_transformation,[],[f439]) ).

fof(f566,plain,
    vd1186 = sK2,
    inference(cnf_transformation,[],[f439]) ).

fof(f567,plain,
    rpoint(sK1),
    inference(cnf_transformation,[],[f439]) ).

fof(f568,plain,
    vd1187 = sK1,
    inference(cnf_transformation,[],[f439]) ).

fof(f569,plain,
    vf(vd1178,vd1179) = vf(vd1185,vd1186),
    inference(cnf_transformation,[],[f439]) ).

fof(f571,plain,
    vangle(vd1179,vd1178,vd1180) = vangle(vd1186,vd1185,vd1187),
    inference(cnf_transformation,[],[f439]) ).

fof(f572,plain,
    ! [X0] :
      ( ~ ron(vd1187,X0)
      | ~ ron(vd1186,X0)
      | ~ ron(vd1185,X0)
      | ~ rline(X0) ),
    inference(cnf_transformation,[],[f439]) ).

fof(f573,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( vangle(X2,X1,X0) = vangle(X0,X1,X2)
      | X0 = X2
      | X0 = X1
      | X2 != X3
      | ~ rpoint(X3)
      | X1 != X4
      | ~ rpoint(X4)
      | X0 != X5
      | ~ rpoint(X5) ),
    inference(cnf_transformation,[],[f234]) ).

fof(f591,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( vangle(X2,X0,X4) = v0
      | rR(X0,X2,X4)
      | ~ ron(X4,X6)
      | ~ ron(X2,X6)
      | ~ ron(X0,X6)
      | X0 = X4
      | X0 = X2
      | X6 != X7
      | ~ rline(X7)
      | X4 != X5
      | ~ rpoint(X5)
      | X2 != X3
      | ~ rpoint(X3)
      | X0 != X1
      | ~ rpoint(X1) ),
    inference(cnf_transformation,[],[f445]) ).

fof(f592,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( ron(X4,X6)
      | vangle(X2,X0,X4) != v0
      | ~ ron(X2,X6)
      | ~ ron(X0,X6)
      | X0 = X4
      | X0 = X2
      | X6 != X7
      | ~ rline(X7)
      | X4 != X5
      | ~ rpoint(X5)
      | X2 != X3
      | ~ rpoint(X3)
      | X0 != X1
      | ~ rpoint(X1) ),
    inference(cnf_transformation,[],[f445]) ).

fof(f596,plain,
    ! [X3,X0,X1,X4] :
      ( rline(sK10(X0,X1))
      | X0 = X1
      | X1 != X3
      | ~ rpoint(X3)
      | X0 != X4
      | ~ rpoint(X4) ),
    inference(cnf_transformation,[],[f447]) ).

fof(f597,plain,
    ! [X3,X0,X1,X4] :
      ( ron(X0,sK10(X0,X1))
      | X0 = X1
      | X1 != X3
      | ~ rpoint(X3)
      | X0 != X4
      | ~ rpoint(X4) ),
    inference(cnf_transformation,[],[f447]) ).

fof(f598,plain,
    ! [X3,X0,X1,X4] :
      ( ron(X1,sK10(X0,X1))
      | X0 = X1
      | X1 != X3
      | ~ rpoint(X3)
      | X0 != X4
      | ~ rpoint(X4) ),
    inference(cnf_transformation,[],[f447]) ).

fof(f602,plain,
    ! [X2,X3,X0,X1] :
      ( X0 = X1
      | vf(X0,X1) != v0
      | X1 != X2
      | ~ rpoint(X2)
      | X0 != X3
      | ~ rpoint(X3) ),
    inference(cnf_transformation,[],[f448]) ).

fof(f603,plain,
    ! [X2,X3,X0,X1] :
      ( vf(X0,X1) = v0
      | X0 != X1
      | X1 != X2
      | ~ rpoint(X2)
      | X0 != X3
      | ~ rpoint(X3) ),
    inference(cnf_transformation,[],[f448]) ).

fof(f606,plain,
    ! [X2,X3,X0,X1] :
      ( vf(X0,X1) = vf(X1,X0)
      | X1 != X2
      | ~ rpoint(X2)
      | X0 != X3
      | ~ rpoint(X3) ),
    inference(cnf_transformation,[],[f260]) ).

fof(f612,plain,
    v0 = vd684,
    inference(cnf_transformation,[],[f63]) ).

fof(f617,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( rR(X1,X2,X0)
      | ~ rR(X1,X0,X2)
      | X2 != X3
      | ~ rpoint(X3)
      | X1 != X4
      | ~ rpoint(X4)
      | X0 != X5
      | ~ rpoint(X5) ),
    inference(cnf_transformation,[],[f274]) ).

fof(f619,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( X0 != X2
      | ~ rR(X1,X0,X2)
      | X2 != X3
      | ~ rpoint(X3)
      | X1 != X4
      | ~ rpoint(X4)
      | X0 != X5
      | ~ rpoint(X5) ),
    inference(cnf_transformation,[],[f274]) ).

fof(f620,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ rR(X0,X1,X2)
      | ~ rR(X1,X0,X2)
      | X2 != X3
      | ~ rpoint(X3)
      | X1 != X4
      | ~ rpoint(X4)
      | X0 != X5
      | ~ rpoint(X5) ),
    inference(cnf_transformation,[],[f274]) ).

fof(f794,plain,
    ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12,X13] :
      ( vangle(X1,X0,X2) = vangle(X3,X0,X4)
      | rR(X0,X2,X4)
      | rR(X0,X1,X3)
      | X0 = X4
      | X0 = X3
      | X0 = X2
      | X0 = X1
      | ~ ron(X4,X6)
      | ~ ron(X2,X6)
      | ~ ron(X3,X5)
      | ~ ron(X1,X5)
      | ~ ron(X0,X5)
      | X6 != X7
      | ~ rline(X7)
      | X5 != X8
      | ~ rline(X8)
      | X4 != X9
      | ~ rpoint(X9)
      | X3 != X10
      | ~ rpoint(X10)
      | X2 != X11
      | ~ rpoint(X11)
      | X1 != X12
      | ~ rpoint(X12)
      | X0 != X13
      | ~ rpoint(X13) ),
    inference(cnf_transformation,[],[f422]) ).

fof(f844,plain,
    ~ ron(sK1,vd1197),
    inference(definition_unfolding,[],[f550,f568]) ).

fof(f845,plain,
    ron(sK2,vd1197),
    inference(definition_unfolding,[],[f551,f566]) ).

fof(f846,plain,
    ron(sK3,vd1197),
    inference(definition_unfolding,[],[f552,f564]) ).

fof(f847,plain,
    ! [X0] :
      ( ~ ron(sK3,X0)
      | ~ ron(sK2,X0)
      | ~ ron(sK1,X0)
      | ~ rline(X0) ),
    inference(definition_unfolding,[],[f572,f568,f566,f564]) ).

fof(f848,plain,
    vangle(sK5,sK6,sK4) = vangle(sK2,sK3,sK1),
    inference(definition_unfolding,[],[f571,f557,f555,f559,f566,f564,f568]) ).

fof(f850,plain,
    vf(sK6,sK5) = vf(sK3,sK2),
    inference(definition_unfolding,[],[f569,f555,f557,f564,f566]) ).

fof(f852,plain,
    sK4 != sK6,
    inference(definition_unfolding,[],[f561,f555,f559]) ).

fof(f853,plain,
    sK5 != sK6,
    inference(definition_unfolding,[],[f560,f555,f557]) ).

fof(f855,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( ron(X4,X6)
      | vangle(X2,X0,X4) != vd684
      | ~ ron(X2,X6)
      | ~ ron(X0,X6)
      | X0 = X4
      | X0 = X2
      | X6 != X7
      | ~ rline(X7)
      | X4 != X5
      | ~ rpoint(X5)
      | X2 != X3
      | ~ rpoint(X3)
      | X0 != X1
      | ~ rpoint(X1) ),
    inference(definition_unfolding,[],[f592,f612]) ).

fof(f856,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( vangle(X2,X0,X4) = vd684
      | rR(X0,X2,X4)
      | ~ ron(X4,X6)
      | ~ ron(X2,X6)
      | ~ ron(X0,X6)
      | X0 = X4
      | X0 = X2
      | X6 != X7
      | ~ rline(X7)
      | X4 != X5
      | ~ rpoint(X5)
      | X2 != X3
      | ~ rpoint(X3)
      | X0 != X1
      | ~ rpoint(X1) ),
    inference(definition_unfolding,[],[f591,f612]) ).

fof(f857,plain,
    ! [X2,X3,X0,X1] :
      ( vf(X0,X1) = vd684
      | X0 != X1
      | X1 != X2
      | ~ rpoint(X2)
      | X0 != X3
      | ~ rpoint(X3) ),
    inference(definition_unfolding,[],[f603,f612]) ).

fof(f858,plain,
    ! [X2,X3,X0,X1] :
      ( X0 = X1
      | vf(X0,X1) != vd684
      | X1 != X2
      | ~ rpoint(X2)
      | X0 != X3
      | ~ rpoint(X3) ),
    inference(definition_unfolding,[],[f602,f612]) ).

fof(f1007,plain,
    ! [X3,X0,X1,X4,X5] :
      ( vangle(X3,X1,X0) = vangle(X0,X1,X3)
      | X0 = X3
      | X0 = X1
      | ~ rpoint(X3)
      | X1 != X4
      | ~ rpoint(X4)
      | X0 != X5
      | ~ rpoint(X5) ),
    inference(equality_resolution,[],[f573]) ).

fof(f1008,plain,
    ! [X3,X0,X4,X5] :
      ( vangle(X3,X4,X0) = vangle(X0,X4,X3)
      | X0 = X3
      | X0 = X4
      | ~ rpoint(X3)
      | ~ rpoint(X4)
      | X0 != X5
      | ~ rpoint(X5) ),
    inference(equality_resolution,[],[f1007]) ).

fof(f1009,plain,
    ! [X3,X4,X5] :
      ( vangle(X3,X4,X5) = vangle(X5,X4,X3)
      | X3 = X5
      | X4 = X5
      | ~ rpoint(X3)
      | ~ rpoint(X4)
      | ~ rpoint(X5) ),
    inference(equality_resolution,[],[f1008]) ).

fof(f1051,plain,
    ! [X2,X3,X0,X1,X7,X4,X5] :
      ( ron(X4,X7)
      | vangle(X2,X0,X4) != vd684
      | ~ ron(X2,X7)
      | ~ ron(X0,X7)
      | X0 = X4
      | X0 = X2
      | ~ rline(X7)
      | X4 != X5
      | ~ rpoint(X5)
      | X2 != X3
      | ~ rpoint(X3)
      | X0 != X1
      | ~ rpoint(X1) ),
    inference(equality_resolution,[],[f855]) ).

fof(f1052,plain,
    ! [X2,X3,X0,X1,X7,X5] :
      ( ron(X5,X7)
      | vd684 != vangle(X2,X0,X5)
      | ~ ron(X2,X7)
      | ~ ron(X0,X7)
      | X0 = X5
      | X0 = X2
      | ~ rline(X7)
      | ~ rpoint(X5)
      | X2 != X3
      | ~ rpoint(X3)
      | X0 != X1
      | ~ rpoint(X1) ),
    inference(equality_resolution,[],[f1051]) ).

fof(f1053,plain,
    ! [X3,X0,X1,X7,X5] :
      ( ron(X5,X7)
      | vd684 != vangle(X3,X0,X5)
      | ~ ron(X3,X7)
      | ~ ron(X0,X7)
      | X0 = X5
      | X0 = X3
      | ~ rline(X7)
      | ~ rpoint(X5)
      | ~ rpoint(X3)
      | X0 != X1
      | ~ rpoint(X1) ),
    inference(equality_resolution,[],[f1052]) ).

fof(f1054,plain,
    ! [X3,X1,X7,X5] :
      ( vd684 != vangle(X3,X1,X5)
      | ron(X5,X7)
      | ~ ron(X3,X7)
      | ~ ron(X1,X7)
      | X1 = X5
      | X1 = X3
      | ~ rline(X7)
      | ~ rpoint(X5)
      | ~ rpoint(X3)
      | ~ rpoint(X1) ),
    inference(equality_resolution,[],[f1053]) ).

fof(f1055,plain,
    ! [X2,X3,X0,X1,X7,X4,X5] :
      ( vangle(X2,X0,X4) = vd684
      | rR(X0,X2,X4)
      | ~ ron(X4,X7)
      | ~ ron(X2,X7)
      | ~ ron(X0,X7)
      | X0 = X4
      | X0 = X2
      | ~ rline(X7)
      | X4 != X5
      | ~ rpoint(X5)
      | X2 != X3
      | ~ rpoint(X3)
      | X0 != X1
      | ~ rpoint(X1) ),
    inference(equality_resolution,[],[f856]) ).

fof(f1056,plain,
    ! [X2,X3,X0,X1,X7,X5] :
      ( vd684 = vangle(X2,X0,X5)
      | rR(X0,X2,X5)
      | ~ ron(X5,X7)
      | ~ ron(X2,X7)
      | ~ ron(X0,X7)
      | X0 = X5
      | X0 = X2
      | ~ rline(X7)
      | ~ rpoint(X5)
      | X2 != X3
      | ~ rpoint(X3)
      | X0 != X1
      | ~ rpoint(X1) ),
    inference(equality_resolution,[],[f1055]) ).

fof(f1057,plain,
    ! [X3,X0,X1,X7,X5] :
      ( vd684 = vangle(X3,X0,X5)
      | rR(X0,X3,X5)
      | ~ ron(X5,X7)
      | ~ ron(X3,X7)
      | ~ ron(X0,X7)
      | X0 = X5
      | X0 = X3
      | ~ rline(X7)
      | ~ rpoint(X5)
      | ~ rpoint(X3)
      | X0 != X1
      | ~ rpoint(X1) ),
    inference(equality_resolution,[],[f1056]) ).

fof(f1058,plain,
    ! [X3,X1,X7,X5] :
      ( vd684 = vangle(X3,X1,X5)
      | rR(X1,X3,X5)
      | ~ ron(X5,X7)
      | ~ ron(X3,X7)
      | ~ ron(X1,X7)
      | X1 = X5
      | X1 = X3
      | ~ rline(X7)
      | ~ rpoint(X5)
      | ~ rpoint(X3)
      | ~ rpoint(X1) ),
    inference(equality_resolution,[],[f1057]) ).

fof(f1066,plain,
    ! [X3,X0,X4] :
      ( ron(X3,sK10(X0,X3))
      | X0 = X3
      | ~ rpoint(X3)
      | X0 != X4
      | ~ rpoint(X4) ),
    inference(equality_resolution,[],[f598]) ).

fof(f1067,plain,
    ! [X3,X4] :
      ( ron(X3,sK10(X4,X3))
      | X3 = X4
      | ~ rpoint(X3)
      | ~ rpoint(X4) ),
    inference(equality_resolution,[],[f1066]) ).

fof(f1068,plain,
    ! [X3,X0,X4] :
      ( ron(X0,sK10(X0,X3))
      | X0 = X3
      | ~ rpoint(X3)
      | X0 != X4
      | ~ rpoint(X4) ),
    inference(equality_resolution,[],[f597]) ).

fof(f1069,plain,
    ! [X3,X4] :
      ( ron(X4,sK10(X4,X3))
      | X3 = X4
      | ~ rpoint(X3)
      | ~ rpoint(X4) ),
    inference(equality_resolution,[],[f1068]) ).

fof(f1070,plain,
    ! [X3,X0,X4] :
      ( rline(sK10(X0,X3))
      | X0 = X3
      | ~ rpoint(X3)
      | X0 != X4
      | ~ rpoint(X4) ),
    inference(equality_resolution,[],[f596]) ).

fof(f1071,plain,
    ! [X3,X4] :
      ( rline(sK10(X4,X3))
      | X3 = X4
      | ~ rpoint(X3)
      | ~ rpoint(X4) ),
    inference(equality_resolution,[],[f1070]) ).

fof(f1084,plain,
    ! [X2,X3,X1] :
      ( vd684 = vf(X1,X1)
      | X1 != X2
      | ~ rpoint(X2)
      | X1 != X3
      | ~ rpoint(X3) ),
    inference(equality_resolution,[],[f857]) ).

fof(f1085,plain,
    ! [X2,X3] :
      ( vd684 = vf(X2,X2)
      | ~ rpoint(X2)
      | X2 != X3
      | ~ rpoint(X3) ),
    inference(equality_resolution,[],[f1084]) ).

fof(f1086,plain,
    ! [X3] :
      ( vd684 = vf(X3,X3)
      | ~ rpoint(X3)
      | ~ rpoint(X3) ),
    inference(equality_resolution,[],[f1085]) ).

fof(f1087,plain,
    ! [X2,X3,X0] :
      ( X0 = X2
      | vf(X0,X2) != vd684
      | ~ rpoint(X2)
      | X0 != X3
      | ~ rpoint(X3) ),
    inference(equality_resolution,[],[f858]) ).

fof(f1088,plain,
    ! [X2,X3] :
      ( vd684 != vf(X3,X2)
      | X2 = X3
      | ~ rpoint(X2)
      | ~ rpoint(X3) ),
    inference(equality_resolution,[],[f1087]) ).

fof(f1097,plain,
    ! [X2,X3,X0] :
      ( vf(X0,X2) = vf(X2,X0)
      | ~ rpoint(X2)
      | X0 != X3
      | ~ rpoint(X3) ),
    inference(equality_resolution,[],[f606]) ).

fof(f1098,plain,
    ! [X2,X3] :
      ( vf(X3,X2) = vf(X2,X3)
      | ~ rpoint(X2)
      | ~ rpoint(X3) ),
    inference(equality_resolution,[],[f1097]) ).

fof(f1122,plain,
    ! [X3,X0,X1,X4,X5] :
      ( ~ rR(X0,X1,X3)
      | ~ rR(X1,X0,X3)
      | ~ rpoint(X3)
      | X1 != X4
      | ~ rpoint(X4)
      | X0 != X5
      | ~ rpoint(X5) ),
    inference(equality_resolution,[],[f620]) ).

fof(f1123,plain,
    ! [X3,X0,X4,X5] :
      ( ~ rR(X0,X4,X3)
      | ~ rR(X4,X0,X3)
      | ~ rpoint(X3)
      | ~ rpoint(X4)
      | X0 != X5
      | ~ rpoint(X5) ),
    inference(equality_resolution,[],[f1122]) ).

fof(f1124,plain,
    ! [X3,X4,X5] :
      ( ~ rR(X5,X4,X3)
      | ~ rR(X4,X5,X3)
      | ~ rpoint(X3)
      | ~ rpoint(X4)
      | ~ rpoint(X5) ),
    inference(equality_resolution,[],[f1123]) ).

fof(f1125,plain,
    ! [X2,X3,X1,X4,X5] :
      ( ~ rR(X1,X2,X2)
      | X2 != X3
      | ~ rpoint(X3)
      | X1 != X4
      | ~ rpoint(X4)
      | X2 != X5
      | ~ rpoint(X5) ),
    inference(equality_resolution,[],[f619]) ).

fof(f1126,plain,
    ! [X3,X1,X4,X5] :
      ( ~ rR(X1,X3,X3)
      | ~ rpoint(X3)
      | X1 != X4
      | ~ rpoint(X4)
      | X3 != X5
      | ~ rpoint(X5) ),
    inference(equality_resolution,[],[f1125]) ).

fof(f1127,plain,
    ! [X3,X4,X5] :
      ( ~ rR(X4,X3,X3)
      | ~ rpoint(X3)
      | ~ rpoint(X4)
      | X3 != X5
      | ~ rpoint(X5) ),
    inference(equality_resolution,[],[f1126]) ).

fof(f1128,plain,
    ! [X4,X5] :
      ( ~ rR(X4,X5,X5)
      | ~ rpoint(X5)
      | ~ rpoint(X4)
      | ~ rpoint(X5) ),
    inference(equality_resolution,[],[f1127]) ).

fof(f1133,plain,
    ! [X3,X0,X1,X4,X5] :
      ( rR(X1,X3,X0)
      | ~ rR(X1,X0,X3)
      | ~ rpoint(X3)
      | X1 != X4
      | ~ rpoint(X4)
      | X0 != X5
      | ~ rpoint(X5) ),
    inference(equality_resolution,[],[f617]) ).

fof(f1134,plain,
    ! [X3,X0,X4,X5] :
      ( rR(X4,X3,X0)
      | ~ rR(X4,X0,X3)
      | ~ rpoint(X3)
      | ~ rpoint(X4)
      | X0 != X5
      | ~ rpoint(X5) ),
    inference(equality_resolution,[],[f1133]) ).

fof(f1135,plain,
    ! [X3,X4,X5] :
      ( ~ rR(X4,X5,X3)
      | rR(X4,X3,X5)
      | ~ rpoint(X3)
      | ~ rpoint(X4)
      | ~ rpoint(X5) ),
    inference(equality_resolution,[],[f1134]) ).

fof(f1650,plain,
    ! [X2,X3,X10,X0,X11,X1,X8,X9,X7,X4,X5,X12,X13] :
      ( vangle(X1,X0,X2) = vangle(X3,X0,X4)
      | rR(X0,X2,X4)
      | rR(X0,X1,X3)
      | X0 = X4
      | X0 = X3
      | X0 = X2
      | X0 = X1
      | ~ ron(X4,X7)
      | ~ ron(X2,X7)
      | ~ ron(X3,X5)
      | ~ ron(X1,X5)
      | ~ ron(X0,X5)
      | ~ rline(X7)
      | X5 != X8
      | ~ rline(X8)
      | X4 != X9
      | ~ rpoint(X9)
      | X3 != X10
      | ~ rpoint(X10)
      | X2 != X11
      | ~ rpoint(X11)
      | X1 != X12
      | ~ rpoint(X12)
      | X0 != X13
      | ~ rpoint(X13) ),
    inference(equality_resolution,[],[f794]) ).

fof(f1651,plain,
    ! [X2,X3,X10,X0,X11,X1,X8,X9,X7,X4,X12,X13] :
      ( vangle(X1,X0,X2) = vangle(X3,X0,X4)
      | rR(X0,X2,X4)
      | rR(X0,X1,X3)
      | X0 = X4
      | X0 = X3
      | X0 = X2
      | X0 = X1
      | ~ ron(X4,X7)
      | ~ ron(X2,X7)
      | ~ ron(X3,X8)
      | ~ ron(X1,X8)
      | ~ ron(X0,X8)
      | ~ rline(X7)
      | ~ rline(X8)
      | X4 != X9
      | ~ rpoint(X9)
      | X3 != X10
      | ~ rpoint(X10)
      | X2 != X11
      | ~ rpoint(X11)
      | X1 != X12
      | ~ rpoint(X12)
      | X0 != X13
      | ~ rpoint(X13) ),
    inference(equality_resolution,[],[f1650]) ).

fof(f1652,plain,
    ! [X2,X3,X10,X0,X11,X1,X8,X9,X7,X12,X13] :
      ( vangle(X1,X0,X2) = vangle(X3,X0,X9)
      | rR(X0,X2,X9)
      | rR(X0,X1,X3)
      | X0 = X9
      | X0 = X3
      | X0 = X2
      | X0 = X1
      | ~ ron(X9,X7)
      | ~ ron(X2,X7)
      | ~ ron(X3,X8)
      | ~ ron(X1,X8)
      | ~ ron(X0,X8)
      | ~ rline(X7)
      | ~ rline(X8)
      | ~ rpoint(X9)
      | X3 != X10
      | ~ rpoint(X10)
      | X2 != X11
      | ~ rpoint(X11)
      | X1 != X12
      | ~ rpoint(X12)
      | X0 != X13
      | ~ rpoint(X13) ),
    inference(equality_resolution,[],[f1651]) ).

fof(f1653,plain,
    ! [X2,X10,X0,X11,X1,X8,X9,X7,X12,X13] :
      ( vangle(X1,X0,X2) = vangle(X10,X0,X9)
      | rR(X0,X2,X9)
      | rR(X0,X1,X10)
      | X0 = X9
      | X0 = X10
      | X0 = X2
      | X0 = X1
      | ~ ron(X9,X7)
      | ~ ron(X2,X7)
      | ~ ron(X10,X8)
      | ~ ron(X1,X8)
      | ~ ron(X0,X8)
      | ~ rline(X7)
      | ~ rline(X8)
      | ~ rpoint(X9)
      | ~ rpoint(X10)
      | X2 != X11
      | ~ rpoint(X11)
      | X1 != X12
      | ~ rpoint(X12)
      | X0 != X13
      | ~ rpoint(X13) ),
    inference(equality_resolution,[],[f1652]) ).

fof(f1654,plain,
    ! [X10,X0,X11,X1,X8,X9,X7,X12,X13] :
      ( vangle(X10,X0,X9) = vangle(X1,X0,X11)
      | rR(X0,X11,X9)
      | rR(X0,X1,X10)
      | X0 = X9
      | X0 = X10
      | X0 = X11
      | X0 = X1
      | ~ ron(X9,X7)
      | ~ ron(X11,X7)
      | ~ ron(X10,X8)
      | ~ ron(X1,X8)
      | ~ ron(X0,X8)
      | ~ rline(X7)
      | ~ rline(X8)
      | ~ rpoint(X9)
      | ~ rpoint(X10)
      | ~ rpoint(X11)
      | X1 != X12
      | ~ rpoint(X12)
      | X0 != X13
      | ~ rpoint(X13) ),
    inference(equality_resolution,[],[f1653]) ).

fof(f1655,plain,
    ! [X10,X0,X11,X8,X9,X7,X12,X13] :
      ( vangle(X10,X0,X9) = vangle(X12,X0,X11)
      | rR(X0,X11,X9)
      | rR(X0,X12,X10)
      | X0 = X9
      | X0 = X10
      | X0 = X11
      | X0 = X12
      | ~ ron(X9,X7)
      | ~ ron(X11,X7)
      | ~ ron(X10,X8)
      | ~ ron(X12,X8)
      | ~ ron(X0,X8)
      | ~ rline(X7)
      | ~ rline(X8)
      | ~ rpoint(X9)
      | ~ rpoint(X10)
      | ~ rpoint(X11)
      | ~ rpoint(X12)
      | X0 != X13
      | ~ rpoint(X13) ),
    inference(equality_resolution,[],[f1654]) ).

fof(f1656,plain,
    ! [X10,X11,X8,X9,X7,X12,X13] :
      ( vangle(X10,X13,X9) = vangle(X12,X13,X11)
      | rR(X13,X11,X9)
      | rR(X13,X12,X10)
      | X9 = X13
      | X10 = X13
      | X11 = X13
      | X12 = X13
      | ~ ron(X9,X7)
      | ~ ron(X11,X7)
      | ~ ron(X10,X8)
      | ~ ron(X12,X8)
      | ~ ron(X13,X8)
      | ~ rline(X7)
      | ~ rline(X8)
      | ~ rpoint(X9)
      | ~ rpoint(X10)
      | ~ rpoint(X11)
      | ~ rpoint(X12)
      | ~ rpoint(X13) ),
    inference(equality_resolution,[],[f1655]) ).

fof(f1705,definition,
    sF52 = vangle(sK3,sK2,sK1),
    introduced(definition,[new_symbols(definition,[sF52])],[function_definition]) ).

fof(f1706,plain,
    vangle(sK3,sK2,sK1) = sF52,
    inference(reorient_equations,[],[f1705]) ).

fof(f1711,plain,
    ! [X4,X5] :
      ( ~ rR(X4,X5,X5)
      | ~ rpoint(X5)
      | ~ rpoint(X4) ),
    inference(duplicate_literal_removal,[],[f1128]) ).

fof(f1712,plain,
    ! [X3] :
      ( vd684 = vf(X3,X3)
      | ~ rpoint(X3) ),
    inference(duplicate_literal_removal,[],[f1086]) ).

fof(f1927,plain,
    vd684 != vf(sK6,sK5),
    inference(unit_resulting_resolution,[],[f1088,f554,f556,f853]) ).

fof(f1935,plain,
    vd684 != vf(sK3,sK2),
    inference(forward_demodulation,[],[f1927,f850]) ).

fof(f2038,definition,
    ( spl54_15
  <=> sK2 = sK3 ),
    introduced(definition,[new_symbols(definition,[spl54_15])],[avatar_definition]) ).

fof(f2039,plain,
    ( sK2 != sK3
    | spl54_15 ),
    inference(avatar_component_clause,[],[f2038]) ).

fof(f2040,plain,
    ( sK2 = sK3
    | ~ spl54_15 ),
    inference(avatar_component_clause,[],[f2038]) ).

fof(f2042,definition,
    ( spl54_16
  <=> sK1 = sK3 ),
    introduced(definition,[new_symbols(definition,[spl54_16])],[avatar_definition]) ).

fof(f2043,plain,
    ( sK1 != sK3
    | spl54_16 ),
    inference(avatar_component_clause,[],[f2042]) ).

fof(f2044,plain,
    ( sK1 = sK3
    | ~ spl54_16 ),
    inference(avatar_component_clause,[],[f2042]) ).

fof(f2051,definition,
    ( spl54_18
  <=> sK1 = sK2 ),
    introduced(definition,[new_symbols(definition,[spl54_18])],[avatar_definition]) ).

fof(f2052,plain,
    ( sK1 != sK2
    | spl54_18 ),
    inference(avatar_component_clause,[],[f2051]) ).

fof(f2053,plain,
    ( sK1 = sK2
    | ~ spl54_18 ),
    inference(avatar_component_clause,[],[f2051]) ).

fof(f2058,plain,
    ( ron(sK1,vd1197)
    | ~ spl54_16 ),
    inference(backward_demodulation,[],[f846,f2044]) ).

fof(f2070,plain,
    ( $false
    | ~ spl54_16 ),
    inference(forward_subsumption_resolution,[],[f2058,f844]) ).

fof(f2071,plain,
    ~ spl54_16,
    inference(avatar_contradiction_clause,[],[f2070]) ).

fof(f2092,plain,
    vf(sK3,sK2) = vf(sK2,sK3),
    inference(unit_resulting_resolution,[],[f1098,f563,f565]) ).

fof(f2153,plain,
    vd684 != vf(sK2,sK3),
    inference(backward_demodulation,[],[f1935,f2092]) ).

fof(f2203,plain,
    vd684 = vf(sK2,sK2),
    inference(unit_resulting_resolution,[],[f1712,f565]) ).

fof(f2229,plain,
    ! [X2,X3,X0,X1] :
      ( sF52 = vangle(X0,sK2,X1)
      | rR(sK2,sK1,X1)
      | rR(sK2,sK3,X0)
      | sK2 = X1
      | sK2 = X0
      | sK1 = sK2
      | sK2 = sK3
      | ~ ron(X1,X2)
      | ~ ron(sK1,X2)
      | ~ ron(X0,X3)
      | ~ ron(sK3,X3)
      | ~ ron(sK2,X3)
      | ~ rline(X2)
      | ~ rline(X3)
      | ~ rpoint(X1)
      | ~ rpoint(X0)
      | ~ rpoint(sK1)
      | ~ rpoint(sK3)
      | ~ rpoint(sK2) ),
    inference(superposition,[],[f1656,f1706]) ).

fof(f2245,plain,
    ! [X2,X3,X0,X1] :
      ( vangle(sK2,sK3,sK1) = vangle(X0,sK6,X1)
      | rR(sK6,sK4,X1)
      | rR(sK6,sK5,X0)
      | sK6 = X1
      | sK6 = X0
      | sK4 = sK6
      | sK5 = sK6
      | ~ ron(X1,X2)
      | ~ ron(sK4,X2)
      | ~ ron(X0,X3)
      | ~ ron(sK5,X3)
      | ~ ron(sK6,X3)
      | ~ rline(X2)
      | ~ rline(X3)
      | ~ rpoint(X1)
      | ~ rpoint(X0)
      | ~ rpoint(sK4)
      | ~ rpoint(sK5)
      | ~ rpoint(sK6) ),
    inference(superposition,[],[f848,f1656]) ).

fof(f2285,plain,
    ( rline(sK10(sK3,sK1))
    | spl54_16 ),
    inference(unit_resulting_resolution,[],[f1071,f563,f567,f2043]) ).

fof(f2287,plain,
    rline(sK10(sK6,sK4)),
    inference(unit_resulting_resolution,[],[f1071,f554,f558,f852]) ).

fof(f2312,plain,
    ! [X2,X3,X0,X1] :
      ( vangle(sK2,sK3,sK1) = vangle(X0,sK6,X1)
      | rR(sK6,sK4,X1)
      | rR(sK6,sK5,X0)
      | sK6 = X1
      | sK6 = X0
      | sK5 = sK6
      | ~ ron(X1,X2)
      | ~ ron(sK4,X2)
      | ~ ron(X0,X3)
      | ~ ron(sK5,X3)
      | ~ ron(sK6,X3)
      | ~ rline(X2)
      | ~ rline(X3)
      | ~ rpoint(X1)
      | ~ rpoint(X0)
      | ~ rpoint(sK4)
      | ~ rpoint(sK5)
      | ~ rpoint(sK6) ),
    inference(forward_subsumption_resolution,[],[f2245,f852]) ).

fof(f2324,plain,
    ! [X2,X3,X0,X1] :
      ( sF52 = vangle(X0,sK2,X1)
      | rR(sK2,sK1,X1)
      | rR(sK2,sK3,X0)
      | sK2 = X1
      | sK2 = X0
      | sK1 = sK2
      | sK2 = sK3
      | ~ ron(X1,X2)
      | ~ ron(sK1,X2)
      | ~ ron(X0,X3)
      | ~ ron(sK3,X3)
      | ~ ron(sK2,X3)
      | ~ rline(X2)
      | ~ rline(X3)
      | ~ rpoint(X1)
      | ~ rpoint(X0)
      | ~ rpoint(sK3)
      | ~ rpoint(sK2) ),
    inference(forward_subsumption_resolution,[],[f2229,f567]) ).

fof(f2340,plain,
    ! [X2,X3,X0,X1] :
      ( vangle(sK2,sK3,sK1) = vangle(X0,sK6,X1)
      | rR(sK6,sK4,X1)
      | rR(sK6,sK5,X0)
      | sK6 = X1
      | sK6 = X0
      | ~ ron(X1,X2)
      | ~ ron(sK4,X2)
      | ~ ron(X0,X3)
      | ~ ron(sK5,X3)
      | ~ ron(sK6,X3)
      | ~ rline(X2)
      | ~ rline(X3)
      | ~ rpoint(X1)
      | ~ rpoint(X0)
      | ~ rpoint(sK4)
      | ~ rpoint(sK5)
      | ~ rpoint(sK6) ),
    inference(forward_subsumption_resolution,[],[f2312,f853]) ).

fof(f2352,plain,
    ! [X2,X3,X0,X1] :
      ( sF52 = vangle(X0,sK2,X1)
      | rR(sK2,sK1,X1)
      | rR(sK2,sK3,X0)
      | sK2 = X1
      | sK2 = X0
      | sK1 = sK2
      | sK2 = sK3
      | ~ ron(X1,X2)
      | ~ ron(sK1,X2)
      | ~ ron(X0,X3)
      | ~ ron(sK3,X3)
      | ~ ron(sK2,X3)
      | ~ rline(X2)
      | ~ rline(X3)
      | ~ rpoint(X1)
      | ~ rpoint(X0)
      | ~ rpoint(sK2) ),
    inference(forward_subsumption_resolution,[],[f2324,f563]) ).

fof(f2368,plain,
    ! [X2,X3,X0,X1] :
      ( vangle(sK2,sK3,sK1) = vangle(X0,sK6,X1)
      | rR(sK6,sK4,X1)
      | rR(sK6,sK5,X0)
      | sK6 = X1
      | sK6 = X0
      | ~ ron(X1,X2)
      | ~ ron(sK4,X2)
      | ~ ron(X0,X3)
      | ~ ron(sK5,X3)
      | ~ ron(sK6,X3)
      | ~ rline(X2)
      | ~ rline(X3)
      | ~ rpoint(X1)
      | ~ rpoint(X0)
      | ~ rpoint(sK5)
      | ~ rpoint(sK6) ),
    inference(forward_subsumption_resolution,[],[f2340,f558]) ).

fof(f2380,plain,
    ! [X2,X3,X0,X1] :
      ( sF52 = vangle(X0,sK2,X1)
      | rR(sK2,sK1,X1)
      | rR(sK2,sK3,X0)
      | sK2 = X1
      | sK2 = X0
      | sK1 = sK2
      | sK2 = sK3
      | ~ ron(X1,X2)
      | ~ ron(sK1,X2)
      | ~ ron(X0,X3)
      | ~ ron(sK3,X3)
      | ~ ron(sK2,X3)
      | ~ rline(X2)
      | ~ rline(X3)
      | ~ rpoint(X1)
      | ~ rpoint(X0) ),
    inference(forward_subsumption_resolution,[],[f2352,f565]) ).

fof(f2396,plain,
    ! [X2,X3,X0,X1] :
      ( vangle(sK2,sK3,sK1) = vangle(X0,sK6,X1)
      | rR(sK6,sK4,X1)
      | rR(sK6,sK5,X0)
      | sK6 = X1
      | sK6 = X0
      | ~ ron(X1,X2)
      | ~ ron(sK4,X2)
      | ~ ron(X0,X3)
      | ~ ron(sK5,X3)
      | ~ ron(sK6,X3)
      | ~ rline(X2)
      | ~ rline(X3)
      | ~ rpoint(X1)
      | ~ rpoint(X0)
      | ~ rpoint(sK6) ),
    inference(forward_subsumption_resolution,[],[f2368,f556]) ).

fof(f2399,definition,
    ( spl54_19
  <=> ! [X0,X3,X2,X1] :
        ( sF52 = vangle(X0,sK2,X1)
        | ~ rpoint(X0)
        | ~ rpoint(X1)
        | ~ rline(X3)
        | ~ rline(X2)
        | ~ ron(sK2,X3)
        | ~ ron(sK3,X3)
        | ~ ron(X0,X3)
        | ~ ron(sK1,X2)
        | ~ ron(X1,X2)
        | sK2 = X0
        | sK2 = X1
        | rR(sK2,sK3,X0)
        | rR(sK2,sK1,X1) ) ),
    introduced(definition,[new_symbols(definition,[spl54_19])],[avatar_definition]) ).

fof(f2400,plain,
    ( ! [X2,X3,X0,X1] :
        ( sF52 = vangle(X0,sK2,X1)
        | ~ rpoint(X0)
        | ~ rpoint(X1)
        | ~ rline(X3)
        | ~ rline(X2)
        | ~ ron(sK2,X3)
        | ~ ron(sK3,X3)
        | ~ ron(X0,X3)
        | ~ ron(sK1,X2)
        | ~ ron(X1,X2)
        | sK2 = X0
        | sK2 = X1
        | rR(sK2,sK3,X0)
        | rR(sK2,sK1,X1) )
    | ~ spl54_19 ),
    inference(avatar_component_clause,[],[f2399]) ).

fof(f2420,plain,
    ( spl54_15
    | spl54_18
    | spl54_19 ),
    inference(avatar_split_clause,[],[f2380,f2399,f2051,f2038]) ).

fof(f2434,plain,
    ! [X2,X3,X0,X1] :
      ( vangle(sK2,sK3,sK1) = vangle(X0,sK6,X1)
      | rR(sK6,sK4,X1)
      | rR(sK6,sK5,X0)
      | sK6 = X1
      | sK6 = X0
      | ~ ron(X1,X2)
      | ~ ron(sK4,X2)
      | ~ ron(X0,X3)
      | ~ ron(sK5,X3)
      | ~ ron(sK6,X3)
      | ~ rline(X2)
      | ~ rline(X3)
      | ~ rpoint(X1)
      | ~ rpoint(X0) ),
    inference(forward_subsumption_resolution,[],[f2396,f554]) ).

fof(f2468,definition,
    ( spl54_27
  <=> vd684 = vangle(sK2,sK3,sK1) ),
    introduced(definition,[new_symbols(definition,[spl54_27])],[avatar_definition]) ).

fof(f2470,plain,
    ( vd684 = vangle(sK2,sK3,sK1)
    | ~ spl54_27 ),
    inference(avatar_component_clause,[],[f2468]) ).

fof(f2494,plain,
    ( vd684 != vf(sK2,sK2)
    | ~ spl54_15 ),
    inference(backward_demodulation,[],[f2153,f2040]) ).

fof(f2512,plain,
    ( $false
    | ~ spl54_15 ),
    inference(forward_subsumption_resolution,[],[f2494,f2203]) ).

fof(f2513,plain,
    ~ spl54_15,
    inference(avatar_contradiction_clause,[],[f2512]) ).

fof(f2525,plain,
    ( ron(sK1,vd1197)
    | ~ spl54_18 ),
    inference(backward_demodulation,[],[f845,f2053]) ).

fof(f2551,plain,
    ( $false
    | ~ spl54_18 ),
    inference(forward_subsumption_resolution,[],[f2525,f844]) ).

fof(f2552,plain,
    ~ spl54_18,
    inference(avatar_contradiction_clause,[],[f2551]) ).

fof(f2638,plain,
    ( vangle(sK2,sK3,sK1) = vangle(sK1,sK3,sK2)
    | spl54_16
    | spl54_18 ),
    inference(unit_resulting_resolution,[],[f1009,f567,f563,f565,f2052,f2043]) ).

fof(f2646,plain,
    ( ! [X2,X3,X0,X1] :
        ( vangle(X0,sK6,X1) = vangle(sK1,sK3,sK2)
        | rR(sK6,sK4,X1)
        | rR(sK6,sK5,X0)
        | sK6 = X1
        | sK6 = X0
        | ~ ron(X1,X2)
        | ~ ron(sK4,X2)
        | ~ ron(X0,X3)
        | ~ ron(sK5,X3)
        | ~ ron(sK6,X3)
        | ~ rline(X2)
        | ~ rline(X3)
        | ~ rpoint(X1)
        | ~ rpoint(X0) )
    | spl54_16
    | spl54_18 ),
    inference(backward_demodulation,[],[f2434,f2638]) ).

fof(f2838,definition,
    ( spl54_30
  <=> rR(sK2,sK1,sK3) ),
    introduced(definition,[new_symbols(definition,[spl54_30])],[avatar_definition]) ).

fof(f2839,plain,
    ( ~ rR(sK2,sK1,sK3)
    | spl54_30 ),
    inference(avatar_component_clause,[],[f2838]) ).

fof(f2840,plain,
    ( rR(sK2,sK1,sK3)
    | ~ spl54_30 ),
    inference(avatar_component_clause,[],[f2838]) ).

fof(f2842,definition,
    ( spl54_31
  <=> ! [X2] :
        ( ~ rline(X2)
        | ~ ron(sK3,X2)
        | ~ ron(sK1,X2) ) ),
    introduced(definition,[new_symbols(definition,[spl54_31])],[avatar_definition]) ).

fof(f2843,plain,
    ( ! [X2] :
        ( ~ ron(sK3,X2)
        | ~ rline(X2)
        | ~ ron(sK1,X2) )
    | ~ spl54_31 ),
    inference(avatar_component_clause,[],[f2842]) ).

fof(f2845,definition,
    ( spl54_32
  <=> ! [X1] :
        ( ~ rline(X1)
        | ~ ron(sK3,X1)
        | ~ ron(sK2,X1) ) ),
    introduced(definition,[new_symbols(definition,[spl54_32])],[avatar_definition]) ).

fof(f2846,plain,
    ( ! [X1] :
        ( ~ ron(sK3,X1)
        | ~ rline(X1)
        | ~ ron(sK2,X1) )
    | ~ spl54_32 ),
    inference(avatar_component_clause,[],[f2845]) ).

fof(f2848,definition,
    ( spl54_33
  <=> rR(sK2,sK3,sK3) ),
    introduced(definition,[new_symbols(definition,[spl54_33])],[avatar_definition]) ).

fof(f2849,plain,
    ( ~ rR(sK2,sK3,sK3)
    | spl54_33 ),
    inference(avatar_component_clause,[],[f2848]) ).

fof(f2860,definition,
    ( spl54_35
  <=> vd684 = sF52 ),
    introduced(definition,[new_symbols(definition,[spl54_35])],[avatar_definition]) ).

fof(f2861,plain,
    ( vd684 != sF52
    | spl54_35 ),
    inference(avatar_component_clause,[],[f2860]) ).

fof(f2862,plain,
    ( vd684 = sF52
    | ~ spl54_35 ),
    inference(avatar_component_clause,[],[f2860]) ).

fof(f2870,plain,
    ( vd684 = vangle(sK3,sK2,sK1)
    | ~ spl54_35 ),
    inference(backward_demodulation,[],[f1706,f2862]) ).

fof(f2961,plain,
    ~ rR(sK3,sK1,sK1),
    inference(unit_resulting_resolution,[],[f1711,f563,f567]) ).

fof(f2972,plain,
    ~ rR(sK2,sK3,sK3),
    inference(unit_resulting_resolution,[],[f1711,f565,f563]) ).

fof(f2997,plain,
    ~ spl54_33,
    inference(avatar_split_clause,[],[f2972,f2848]) ).

fof(f2998,plain,
    ( vd684 = vangle(sK3,sK2,sK3)
    | spl54_15
    | spl54_33 ),
    inference(unit_resulting_resolution,[],[f1058,f565,f563,f563,f553,f846,f846,f845,f2039,f2039,f2849]) ).

fof(f3086,plain,
    ( ron(sK1,sK10(sK3,sK1))
    | spl54_16 ),
    inference(unit_resulting_resolution,[],[f1067,f563,f567,f2043]) ).

fof(f3089,plain,
    ron(sK4,sK10(sK6,sK4)),
    inference(unit_resulting_resolution,[],[f1067,f554,f558,f852]) ).

fof(f3104,plain,
    ( ron(sK3,sK10(sK3,sK1))
    | spl54_16 ),
    inference(unit_resulting_resolution,[],[f1069,f563,f567,f2043]) ).

fof(f3171,definition,
    ( spl54_37
  <=> ! [X0] :
        ( ~ ron(sK5,X0)
        | ~ rline(X0)
        | ~ ron(sK6,X0) ) ),
    introduced(definition,[new_symbols(definition,[spl54_37])],[avatar_definition]) ).

fof(f3172,plain,
    ( ! [X0] :
        ( ~ ron(sK6,X0)
        | ~ rline(X0)
        | ~ ron(sK5,X0) )
    | ~ spl54_37 ),
    inference(avatar_component_clause,[],[f3171]) ).

fof(f3174,definition,
    ( spl54_38
  <=> vd684 = vangle(sK1,sK3,sK2) ),
    introduced(definition,[new_symbols(definition,[spl54_38])],[avatar_definition]) ).

fof(f3175,plain,
    ( vd684 = vangle(sK1,sK3,sK2)
    | ~ spl54_38 ),
    inference(avatar_component_clause,[],[f3174]) ).

fof(f3176,plain,
    ( vd684 != vangle(sK1,sK3,sK2)
    | spl54_38 ),
    inference(avatar_component_clause,[],[f3174]) ).

fof(f3223,plain,
    ( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
        ( vangle(X0,sK6,X1) = vangle(X2,sK3,X3)
        | rR(sK3,X3,sK2)
        | rR(sK3,X2,sK1)
        | sK2 = sK3
        | sK1 = sK3
        | sK3 = X3
        | sK3 = X2
        | ~ ron(sK2,X4)
        | ~ ron(X3,X4)
        | ~ ron(sK1,X5)
        | ~ ron(X2,X5)
        | ~ ron(sK3,X5)
        | ~ rline(X4)
        | ~ rline(X5)
        | ~ rpoint(sK2)
        | ~ rpoint(sK1)
        | ~ rpoint(X3)
        | ~ rpoint(X2)
        | ~ rpoint(sK3)
        | rR(sK6,sK4,X1)
        | rR(sK6,sK5,X0)
        | sK6 = X1
        | sK6 = X0
        | ~ ron(X1,X6)
        | ~ ron(sK4,X6)
        | ~ ron(X0,X7)
        | ~ ron(sK5,X7)
        | ~ ron(sK6,X7)
        | ~ rline(X6)
        | ~ rline(X7)
        | ~ rpoint(X1)
        | ~ rpoint(X0) )
    | spl54_16
    | spl54_18 ),
    inference(superposition,[],[f1656,f2646]) ).

fof(f3235,plain,
    ( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
        ( vangle(X0,sK6,X1) = vangle(X2,sK3,X3)
        | rR(sK3,X3,sK2)
        | rR(sK3,X2,sK1)
        | sK1 = sK3
        | sK3 = X3
        | sK3 = X2
        | ~ ron(sK2,X4)
        | ~ ron(X3,X4)
        | ~ ron(sK1,X5)
        | ~ ron(X2,X5)
        | ~ ron(sK3,X5)
        | ~ rline(X4)
        | ~ rline(X5)
        | ~ rpoint(sK2)
        | ~ rpoint(sK1)
        | ~ rpoint(X3)
        | ~ rpoint(X2)
        | ~ rpoint(sK3)
        | rR(sK6,sK4,X1)
        | rR(sK6,sK5,X0)
        | sK6 = X1
        | sK6 = X0
        | ~ ron(X1,X6)
        | ~ ron(sK4,X6)
        | ~ ron(X0,X7)
        | ~ ron(sK5,X7)
        | ~ ron(sK6,X7)
        | ~ rline(X6)
        | ~ rline(X7)
        | ~ rpoint(X1)
        | ~ rpoint(X0) )
    | spl54_15
    | spl54_16
    | spl54_18 ),
    inference(forward_subsumption_resolution,[],[f3223,f2039]) ).

fof(f3251,plain,
    ( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
        ( vangle(X0,sK6,X1) = vangle(X2,sK3,X3)
        | rR(sK3,X3,sK2)
        | rR(sK3,X2,sK1)
        | sK3 = X3
        | sK3 = X2
        | ~ ron(sK2,X4)
        | ~ ron(X3,X4)
        | ~ ron(sK1,X5)
        | ~ ron(X2,X5)
        | ~ ron(sK3,X5)
        | ~ rline(X4)
        | ~ rline(X5)
        | ~ rpoint(sK2)
        | ~ rpoint(sK1)
        | ~ rpoint(X3)
        | ~ rpoint(X2)
        | ~ rpoint(sK3)
        | rR(sK6,sK4,X1)
        | rR(sK6,sK5,X0)
        | sK6 = X1
        | sK6 = X0
        | ~ ron(X1,X6)
        | ~ ron(sK4,X6)
        | ~ ron(X0,X7)
        | ~ ron(sK5,X7)
        | ~ ron(sK6,X7)
        | ~ rline(X6)
        | ~ rline(X7)
        | ~ rpoint(X1)
        | ~ rpoint(X0) )
    | spl54_15
    | spl54_16
    | spl54_18 ),
    inference(forward_subsumption_resolution,[],[f3235,f2043]) ).

fof(f3265,plain,
    ( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
        ( vangle(X0,sK6,X1) = vangle(X2,sK3,X3)
        | rR(sK3,X3,sK2)
        | rR(sK3,X2,sK1)
        | sK3 = X3
        | sK3 = X2
        | ~ ron(sK2,X4)
        | ~ ron(X3,X4)
        | ~ ron(sK1,X5)
        | ~ ron(X2,X5)
        | ~ ron(sK3,X5)
        | ~ rline(X4)
        | ~ rline(X5)
        | ~ rpoint(sK1)
        | ~ rpoint(X3)
        | ~ rpoint(X2)
        | ~ rpoint(sK3)
        | rR(sK6,sK4,X1)
        | rR(sK6,sK5,X0)
        | sK6 = X1
        | sK6 = X0
        | ~ ron(X1,X6)
        | ~ ron(sK4,X6)
        | ~ ron(X0,X7)
        | ~ ron(sK5,X7)
        | ~ ron(sK6,X7)
        | ~ rline(X6)
        | ~ rline(X7)
        | ~ rpoint(X1)
        | ~ rpoint(X0) )
    | spl54_15
    | spl54_16
    | spl54_18 ),
    inference(forward_subsumption_resolution,[],[f3251,f565]) ).

fof(f3270,plain,
    ( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
        ( vangle(X0,sK6,X1) = vangle(X2,sK3,X3)
        | rR(sK3,X3,sK2)
        | rR(sK3,X2,sK1)
        | sK3 = X3
        | sK3 = X2
        | ~ ron(sK2,X4)
        | ~ ron(X3,X4)
        | ~ ron(sK1,X5)
        | ~ ron(X2,X5)
        | ~ ron(sK3,X5)
        | ~ rline(X4)
        | ~ rline(X5)
        | ~ rpoint(X3)
        | ~ rpoint(X2)
        | ~ rpoint(sK3)
        | rR(sK6,sK4,X1)
        | rR(sK6,sK5,X0)
        | sK6 = X1
        | sK6 = X0
        | ~ ron(X1,X6)
        | ~ ron(sK4,X6)
        | ~ ron(X0,X7)
        | ~ ron(sK5,X7)
        | ~ ron(sK6,X7)
        | ~ rline(X6)
        | ~ rline(X7)
        | ~ rpoint(X1)
        | ~ rpoint(X0) )
    | spl54_15
    | spl54_16
    | spl54_18 ),
    inference(forward_subsumption_resolution,[],[f3265,f567]) ).

fof(f3275,plain,
    ( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
        ( vangle(X0,sK6,X1) = vangle(X2,sK3,X3)
        | rR(sK3,X3,sK2)
        | rR(sK3,X2,sK1)
        | sK3 = X3
        | sK3 = X2
        | ~ ron(sK2,X4)
        | ~ ron(X3,X4)
        | ~ ron(sK1,X5)
        | ~ ron(X2,X5)
        | ~ ron(sK3,X5)
        | ~ rline(X4)
        | ~ rline(X5)
        | ~ rpoint(X3)
        | ~ rpoint(X2)
        | rR(sK6,sK4,X1)
        | rR(sK6,sK5,X0)
        | sK6 = X1
        | sK6 = X0
        | ~ ron(X1,X6)
        | ~ ron(sK4,X6)
        | ~ ron(X0,X7)
        | ~ ron(sK5,X7)
        | ~ ron(sK6,X7)
        | ~ rline(X6)
        | ~ rline(X7)
        | ~ rpoint(X1)
        | ~ rpoint(X0) )
    | spl54_15
    | spl54_16
    | spl54_18 ),
    inference(forward_subsumption_resolution,[],[f3270,f563]) ).

fof(f3281,definition,
    ( spl54_41
  <=> rR(sK3,sK1,sK2) ),
    introduced(definition,[new_symbols(definition,[spl54_41])],[avatar_definition]) ).

fof(f3282,plain,
    ( rR(sK3,sK1,sK2)
    | ~ spl54_41 ),
    inference(avatar_component_clause,[],[f3281]) ).

fof(f3283,plain,
    ( ~ rR(sK3,sK1,sK2)
    | spl54_41 ),
    inference(avatar_component_clause,[],[f3281]) ).

fof(f3285,definition,
    ( spl54_42
  <=> ! [X4,X0,X3,X1] :
        ( vd684 != vangle(X0,sK6,X1)
        | ~ rpoint(X0)
        | ~ rpoint(X1)
        | ~ rline(X4)
        | ~ rline(X3)
        | ~ ron(sK6,X4)
        | ~ ron(sK5,X4)
        | ~ ron(X0,X4)
        | ~ ron(sK4,X3)
        | ~ ron(X1,X3)
        | sK6 = X0
        | sK6 = X1
        | rR(sK6,sK5,X0)
        | rR(sK6,sK4,X1) ) ),
    introduced(definition,[new_symbols(definition,[spl54_42])],[avatar_definition]) ).

fof(f3286,plain,
    ( ! [X3,X0,X1,X4] :
        ( vd684 != vangle(X0,sK6,X1)
        | ~ rpoint(X0)
        | ~ rpoint(X1)
        | ~ rline(X4)
        | ~ rline(X3)
        | ~ ron(sK6,X4)
        | ~ ron(sK5,X4)
        | ~ ron(X0,X4)
        | ~ ron(sK4,X3)
        | ~ ron(X1,X3)
        | sK6 = X0
        | sK6 = X1
        | rR(sK6,sK5,X0)
        | rR(sK6,sK4,X1) )
    | ~ spl54_42 ),
    inference(avatar_component_clause,[],[f3285]) ).

fof(f3291,plain,
    ( ! [X2,X3,X0,X1] :
        ( vd684 != vangle(X0,sK6,X1)
        | rR(sK6,sK4,X1)
        | rR(sK6,sK5,X0)
        | sK6 = X1
        | sK6 = X0
        | ~ ron(X1,X2)
        | ~ ron(sK4,X2)
        | ~ ron(X0,X3)
        | ~ ron(sK5,X3)
        | ~ ron(sK6,X3)
        | ~ rline(X2)
        | ~ rline(X3)
        | ~ rpoint(X1)
        | ~ rpoint(X0) )
    | spl54_16
    | spl54_18
    | spl54_38 ),
    inference(superposition,[],[f3176,f2646]) ).

fof(f3298,plain,
    ( spl54_42
    | spl54_16
    | spl54_18
    | spl54_38 ),
    inference(avatar_split_clause,[],[f3291,f3174,f2051,f2042,f3285]) ).

fof(f3307,plain,
    ( vd684 = vangle(sK2,sK3,sK1)
    | spl54_16
    | spl54_18
    | ~ spl54_38 ),
    inference(backward_demodulation,[],[f2638,f3175]) ).

fof(f3316,plain,
    ( spl54_27
    | spl54_16
    | spl54_18
    | ~ spl54_38 ),
    inference(avatar_split_clause,[],[f3307,f3174,f2051,f2042,f2468]) ).

fof(f3543,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12,X13] :
        ( vangle(X0,sK3,X1) = vangle(X4,sK3,X5)
        | rR(sK3,X5,sK2)
        | rR(sK3,X4,sK1)
        | sK3 = X5
        | sK3 = X4
        | ~ ron(sK2,X6)
        | ~ ron(X5,X6)
        | ~ ron(sK1,X7)
        | ~ ron(X4,X7)
        | ~ ron(sK3,X7)
        | ~ rline(X6)
        | ~ rline(X7)
        | ~ rpoint(X5)
        | ~ rpoint(X4)
        | rR(sK6,sK4,X3)
        | rR(sK6,sK5,X2)
        | sK6 = X3
        | sK6 = X2
        | ~ ron(X3,X8)
        | ~ ron(sK4,X8)
        | ~ ron(X2,X9)
        | ~ ron(sK5,X9)
        | ~ ron(sK6,X9)
        | ~ rline(X8)
        | ~ rline(X9)
        | ~ rpoint(X3)
        | ~ rpoint(X2)
        | rR(sK3,X1,sK2)
        | rR(sK3,X0,sK1)
        | sK3 = X1
        | sK3 = X0
        | ~ ron(sK2,X10)
        | ~ ron(X1,X10)
        | ~ ron(sK1,X11)
        | ~ ron(X0,X11)
        | ~ ron(sK3,X11)
        | ~ rline(X10)
        | ~ rline(X11)
        | ~ rpoint(X1)
        | ~ rpoint(X0)
        | rR(sK6,sK4,X3)
        | rR(sK6,sK5,X2)
        | sK6 = X3
        | sK6 = X2
        | ~ ron(X3,X12)
        | ~ ron(sK4,X12)
        | ~ ron(X2,X13)
        | ~ ron(sK5,X13)
        | ~ ron(sK6,X13)
        | ~ rline(X12)
        | ~ rline(X13)
        | ~ rpoint(X3)
        | ~ rpoint(X2) )
    | spl54_15
    | spl54_16
    | spl54_18 ),
    inference(superposition,[],[f3275,f3275]) ).

fof(f3618,plain,
    ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12,X13] :
        ( vangle(X0,sK3,X1) = vangle(X4,sK3,X5)
        | rR(sK3,X5,sK2)
        | rR(sK3,X4,sK1)
        | sK3 = X5
        | sK3 = X4
        | ~ ron(sK2,X6)
        | ~ ron(X5,X6)
        | ~ ron(sK1,X7)
        | ~ ron(X4,X7)
        | ~ ron(sK3,X7)
        | ~ rline(X6)
        | ~ rline(X7)
        | ~ rpoint(X5)
        | ~ rpoint(X4)
        | rR(sK6,sK4,X3)
        | rR(sK6,sK5,X2)
        | sK6 = X3
        | sK6 = X2
        | ~ ron(X3,X8)
        | ~ ron(sK4,X8)
        | ~ ron(X2,X9)
        | ~ ron(sK5,X9)
        | ~ ron(sK6,X9)
        | ~ rline(X8)
        | ~ rline(X9)
        | ~ rpoint(X3)
        | ~ rpoint(X2)
        | rR(sK3,X1,sK2)
        | rR(sK3,X0,sK1)
        | sK3 = X1
        | sK3 = X0
        | ~ ron(sK2,X10)
        | ~ ron(X1,X10)
        | ~ ron(sK1,X11)
        | ~ ron(X0,X11)
        | ~ ron(sK3,X11)
        | ~ rline(X10)
        | ~ rline(X11)
        | ~ rpoint(X1)
        | ~ rpoint(X0)
        | ~ ron(X3,X12)
        | ~ ron(sK4,X12)
        | ~ ron(X2,X13)
        | ~ ron(sK5,X13)
        | ~ ron(sK6,X13)
        | ~ rline(X12)
        | ~ rline(X13) )
    | spl54_15
    | spl54_16
    | spl54_18 ),
    inference(duplicate_literal_removal,[],[f3543]) ).

fof(f3638,definition,
    ( spl54_43
  <=> ! [X13,X2,X9] :
        ( rR(sK6,sK5,X2)
        | ~ rline(X13)
        | ~ ron(sK6,X13)
        | ~ ron(sK5,X13)
        | ~ ron(X2,X13)
        | ~ rpoint(X2)
        | ~ rline(X9)
        | ~ ron(sK6,X9)
        | ~ ron(sK5,X9)
        | ~ ron(X2,X9)
        | sK6 = X2 ) ),
    introduced(definition,[new_symbols(definition,[spl54_43])],[avatar_definition]) ).

fof(f3639,plain,
    ( ! [X2,X9,X13] :
        ( rR(sK6,sK5,X2)
        | ~ rline(X13)
        | ~ ron(sK6,X13)
        | ~ ron(sK5,X13)
        | ~ ron(X2,X13)
        | ~ rpoint(X2)
        | ~ rline(X9)
        | ~ ron(sK6,X9)
        | ~ ron(sK5,X9)
        | ~ ron(X2,X9)
        | sK6 = X2 )
    | ~ spl54_43 ),
    inference(avatar_component_clause,[],[f3638]) ).

fof(f3641,definition,
    ( spl54_44
  <=> ! [X12,X8,X3] :
        ( rR(sK6,sK4,X3)
        | ~ rline(X12)
        | ~ ron(sK4,X12)
        | ~ ron(X3,X12)
        | ~ rpoint(X3)
        | ~ rline(X8)
        | ~ ron(sK4,X8)
        | ~ ron(X3,X8)
        | sK6 = X3 ) ),
    introduced(definition,[new_symbols(definition,[spl54_44])],[avatar_definition]) ).

fof(f3642,plain,
    ( ! [X3,X8,X12] :
        ( rR(sK6,sK4,X3)
        | ~ rline(X12)
        | ~ ron(sK4,X12)
        | ~ ron(X3,X12)
        | ~ rpoint(X3)
        | ~ rline(X8)
        | ~ ron(sK4,X8)
        | ~ ron(X3,X8)
        | sK6 = X3 )
    | ~ spl54_44 ),
    inference(avatar_component_clause,[],[f3641]) ).

fof(f3644,definition,
    ( spl54_45
  <=> ! [X6,X4,X11,X0,X7,X5,X1,X10] :
        ( vangle(X0,sK3,X1) = vangle(X4,sK3,X5)
        | ~ rpoint(X0)
        | ~ rpoint(X1)
        | ~ rline(X11)
        | ~ rline(X10)
        | ~ ron(sK3,X11)
        | ~ ron(X0,X11)
        | ~ ron(sK1,X11)
        | ~ ron(X1,X10)
        | ~ ron(sK2,X10)
        | sK3 = X0
        | sK3 = X1
        | rR(sK3,X0,sK1)
        | rR(sK3,X1,sK2)
        | ~ rpoint(X4)
        | ~ rpoint(X5)
        | ~ rline(X7)
        | ~ rline(X6)
        | ~ ron(sK3,X7)
        | ~ ron(X4,X7)
        | ~ ron(sK1,X7)
        | ~ ron(X5,X6)
        | ~ ron(sK2,X6)
        | sK3 = X4
        | sK3 = X5
        | rR(sK3,X4,sK1)
        | rR(sK3,X5,sK2) ) ),
    introduced(definition,[new_symbols(definition,[spl54_45])],[avatar_definition]) ).

fof(f3645,plain,
    ( ! [X10,X0,X11,X1,X6,X7,X4,X5] :
        ( vangle(X0,sK3,X1) = vangle(X4,sK3,X5)
        | ~ rpoint(X0)
        | ~ rpoint(X1)
        | ~ rline(X11)
        | ~ rline(X10)
        | ~ ron(sK3,X11)
        | ~ ron(X0,X11)
        | ~ ron(sK1,X11)
        | ~ ron(X1,X10)
        | ~ ron(sK2,X10)
        | sK3 = X0
        | sK3 = X1
        | rR(sK3,X0,sK1)
        | rR(sK3,X1,sK2)
        | ~ rpoint(X4)
        | ~ rpoint(X5)
        | ~ rline(X7)
        | ~ rline(X6)
        | ~ ron(sK3,X7)
        | ~ ron(X4,X7)
        | ~ ron(sK1,X7)
        | ~ ron(X5,X6)
        | ~ ron(sK2,X6)
        | sK3 = X4
        | sK3 = X5
        | rR(sK3,X4,sK1)
        | rR(sK3,X5,sK2) )
    | ~ spl54_45 ),
    inference(avatar_component_clause,[],[f3644]) ).

fof(f3646,plain,
    ( spl54_43
    | spl54_44
    | spl54_45
    | spl54_15
    | spl54_16
    | spl54_18 ),
    inference(avatar_split_clause,[],[f3618,f2051,f2042,f2038,f3644,f3641,f3638]) ).

fof(f3652,plain,
    ( ! [X0,X1] :
        ( ~ rline(X0)
        | ~ ron(sK6,X0)
        | ~ ron(sK5,X0)
        | ~ ron(sK5,X0)
        | ~ rpoint(sK5)
        | ~ rline(X1)
        | ~ ron(sK6,X1)
        | ~ ron(sK5,X1)
        | ~ ron(sK5,X1)
        | sK5 = sK6
        | ~ rpoint(sK5)
        | ~ rpoint(sK6) )
    | ~ spl54_43 ),
    inference(resolution,[],[f3639,f1711]) ).

fof(f3653,plain,
    ( ! [X0,X1] :
        ( ~ rline(X0)
        | ~ ron(sK6,X0)
        | ~ ron(sK5,X0)
        | ~ rpoint(sK5)
        | ~ rline(X1)
        | ~ ron(sK6,X1)
        | ~ ron(sK5,X1)
        | sK5 = sK6
        | ~ rpoint(sK6) )
    | ~ spl54_43 ),
    inference(duplicate_literal_removal,[],[f3652]) ).

fof(f3658,plain,
    ( ! [X0,X1] :
        ( ~ rline(X0)
        | ~ ron(sK6,X0)
        | ~ ron(sK5,X0)
        | ~ rline(X1)
        | ~ ron(sK6,X1)
        | ~ ron(sK5,X1)
        | sK5 = sK6
        | ~ rpoint(sK6) )
    | ~ spl54_43 ),
    inference(forward_subsumption_resolution,[],[f3653,f556]) ).

fof(f3663,plain,
    ( ! [X0,X1] :
        ( ~ rline(X0)
        | ~ ron(sK6,X0)
        | ~ ron(sK5,X0)
        | ~ rline(X1)
        | ~ ron(sK6,X1)
        | ~ ron(sK5,X1)
        | ~ rpoint(sK6) )
    | ~ spl54_43 ),
    inference(forward_subsumption_resolution,[],[f3658,f853]) ).

fof(f3668,plain,
    ( ! [X0,X1] :
        ( ~ rline(X0)
        | ~ ron(sK6,X0)
        | ~ ron(sK5,X0)
        | ~ rline(X1)
        | ~ ron(sK6,X1)
        | ~ ron(sK5,X1) )
    | ~ spl54_43 ),
    inference(forward_subsumption_resolution,[],[f3663,f554]) ).

fof(f3669,plain,
    ( spl54_37
    | spl54_37
    | ~ spl54_43 ),
    inference(avatar_split_clause,[],[f3668,f3638,f3171,f3171]) ).

fof(f3671,plain,
    ( ! [X0] :
        ( ~ rline(sK10(sK6,X0))
        | ~ ron(sK5,sK10(sK6,X0))
        | sK6 = X0
        | ~ rpoint(X0)
        | ~ rpoint(sK6) )
    | ~ spl54_37 ),
    inference(resolution,[],[f3172,f1069]) ).

fof(f3672,plain,
    ( ! [X0] :
        ( ~ ron(sK5,sK10(sK6,X0))
        | sK6 = X0
        | ~ rpoint(X0)
        | ~ rpoint(sK6) )
    | ~ spl54_37 ),
    inference(forward_subsumption_resolution,[],[f3671,f1071]) ).

fof(f3674,plain,
    ( ! [X0] :
        ( ~ ron(sK5,sK10(sK6,X0))
        | sK6 = X0
        | ~ rpoint(X0) )
    | ~ spl54_37 ),
    inference(forward_subsumption_resolution,[],[f3672,f554]) ).

fof(f3678,plain,
    ( sK5 = sK6
    | ~ rpoint(sK5)
    | sK5 = sK6
    | ~ rpoint(sK5)
    | ~ rpoint(sK6)
    | ~ spl54_37 ),
    inference(resolution,[],[f3674,f1067]) ).

fof(f3679,plain,
    ( sK5 = sK6
    | ~ rpoint(sK5)
    | ~ rpoint(sK6)
    | ~ spl54_37 ),
    inference(duplicate_literal_removal,[],[f3678]) ).

fof(f3680,plain,
    ( ~ rpoint(sK5)
    | ~ rpoint(sK6)
    | ~ spl54_37 ),
    inference(forward_subsumption_resolution,[],[f3679,f853]) ).

fof(f3683,plain,
    ( ~ rpoint(sK6)
    | ~ spl54_37 ),
    inference(forward_subsumption_resolution,[],[f3680,f556]) ).

fof(f3684,plain,
    ( $false
    | ~ spl54_37 ),
    inference(forward_subsumption_resolution,[],[f3683,f554]) ).

fof(f3685,plain,
    ~ spl54_37,
    inference(avatar_contradiction_clause,[],[f3684]) ).

fof(f3691,plain,
    ( ! [X0,X1] :
        ( ~ rline(X0)
        | ~ ron(sK4,X0)
        | ~ ron(sK4,X0)
        | ~ rpoint(sK4)
        | ~ rline(X1)
        | ~ ron(sK4,X1)
        | ~ ron(sK4,X1)
        | sK4 = sK6
        | ~ rpoint(sK4)
        | ~ rpoint(sK6) )
    | ~ spl54_44 ),
    inference(resolution,[],[f3642,f1711]) ).

fof(f3692,plain,
    ( ! [X0,X1] :
        ( ~ rline(X0)
        | ~ ron(sK4,X0)
        | ~ rpoint(sK4)
        | ~ rline(X1)
        | ~ ron(sK4,X1)
        | sK4 = sK6
        | ~ rpoint(sK6) )
    | ~ spl54_44 ),
    inference(duplicate_literal_removal,[],[f3691]) ).

fof(f3697,plain,
    ( ! [X0,X1] :
        ( ~ rline(X0)
        | ~ ron(sK4,X0)
        | ~ rline(X1)
        | ~ ron(sK4,X1)
        | sK4 = sK6
        | ~ rpoint(sK6) )
    | ~ spl54_44 ),
    inference(forward_subsumption_resolution,[],[f3692,f558]) ).

fof(f3703,plain,
    ( ! [X0,X1] :
        ( ~ rline(X0)
        | ~ ron(sK4,X0)
        | ~ rline(X1)
        | ~ ron(sK4,X1)
        | ~ rpoint(sK6) )
    | ~ spl54_44 ),
    inference(forward_subsumption_resolution,[],[f3697,f852]) ).

fof(f3709,plain,
    ( ! [X0,X1] :
        ( ~ rline(X0)
        | ~ ron(sK4,X0)
        | ~ rline(X1)
        | ~ ron(sK4,X1) )
    | ~ spl54_44 ),
    inference(forward_subsumption_resolution,[],[f3703,f554]) ).

fof(f3715,definition,
    ( spl54_47
  <=> ! [X1] :
        ( ~ rline(X1)
        | ~ ron(sK4,X1) ) ),
    introduced(definition,[new_symbols(definition,[spl54_47])],[avatar_definition]) ).

fof(f3716,plain,
    ( ! [X1] :
        ( ~ ron(sK4,X1)
        | ~ rline(X1) )
    | ~ spl54_47 ),
    inference(avatar_component_clause,[],[f3715]) ).

fof(f3725,plain,
    ( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
        ( vd684 = vangle(X2,sK3,X3)
        | ~ rpoint(X0)
        | ~ rpoint(X1)
        | ~ rline(X4)
        | ~ rline(X5)
        | ~ ron(sK3,X4)
        | ~ ron(X0,X4)
        | ~ ron(sK1,X4)
        | ~ ron(X1,X5)
        | ~ ron(sK2,X5)
        | sK3 = X0
        | sK3 = X1
        | rR(sK3,X0,sK1)
        | rR(sK3,X1,sK2)
        | ~ rpoint(X2)
        | ~ rpoint(X3)
        | ~ rline(X6)
        | ~ rline(X7)
        | ~ ron(sK3,X6)
        | ~ ron(X2,X6)
        | ~ ron(sK1,X6)
        | ~ ron(X3,X7)
        | ~ ron(sK2,X7)
        | sK3 = X2
        | sK3 = X3
        | rR(sK3,X2,sK1)
        | rR(sK3,X3,sK2)
        | rR(sK3,X0,X1)
        | ~ ron(X1,X8)
        | ~ ron(X0,X8)
        | ~ ron(sK3,X8)
        | sK3 = X1
        | sK3 = X0
        | ~ rline(X8)
        | ~ rpoint(X1)
        | ~ rpoint(X0)
        | ~ rpoint(sK3) )
    | ~ spl54_45 ),
    inference(superposition,[],[f3645,f1058]) ).

fof(f3814,plain,
    ( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
        ( vd684 = vangle(X2,sK3,X3)
        | ~ rpoint(X0)
        | ~ rpoint(X1)
        | ~ rline(X4)
        | ~ rline(X5)
        | ~ ron(sK3,X4)
        | ~ ron(X0,X4)
        | ~ ron(sK1,X4)
        | ~ ron(X1,X5)
        | ~ ron(sK2,X5)
        | sK3 = X0
        | sK3 = X1
        | rR(sK3,X0,sK1)
        | rR(sK3,X1,sK2)
        | ~ rpoint(X2)
        | ~ rpoint(X3)
        | ~ rline(X6)
        | ~ rline(X7)
        | ~ ron(sK3,X6)
        | ~ ron(X2,X6)
        | ~ ron(sK1,X6)
        | ~ ron(X3,X7)
        | ~ ron(sK2,X7)
        | sK3 = X2
        | sK3 = X3
        | rR(sK3,X2,sK1)
        | rR(sK3,X3,sK2)
        | rR(sK3,X0,X1)
        | ~ ron(X1,X8)
        | ~ ron(X0,X8)
        | ~ ron(sK3,X8)
        | ~ rline(X8)
        | ~ rpoint(sK3) )
    | ~ spl54_45 ),
    inference(duplicate_literal_removal,[],[f3725]) ).

fof(f3959,plain,
    ( spl54_47
    | spl54_47
    | ~ spl54_44 ),
    inference(avatar_split_clause,[],[f3709,f3641,f3715,f3715]) ).

fof(f3982,definition,
    ( spl54_52
  <=> ! [X0,X6,X1,X7] :
        ( vd684 = vangle(X0,sK3,X1)
        | rR(sK3,X1,sK2)
        | rR(sK3,X0,sK1)
        | sK3 = X1
        | sK3 = X0
        | ~ ron(sK2,X7)
        | ~ ron(X1,X7)
        | ~ ron(sK1,X6)
        | ~ ron(X0,X6)
        | ~ rline(X7)
        | ~ rline(X6)
        | ~ ron(sK3,X6)
        | ~ rpoint(X1)
        | ~ rpoint(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl54_52])],[avatar_definition]) ).

fof(f3983,plain,
    ( ! [X0,X1,X6,X7] :
        ( vd684 = vangle(X0,sK3,X1)
        | rR(sK3,X1,sK2)
        | rR(sK3,X0,sK1)
        | sK3 = X1
        | sK3 = X0
        | ~ ron(sK2,X7)
        | ~ ron(X1,X7)
        | ~ ron(sK1,X6)
        | ~ ron(X0,X6)
        | ~ rline(X7)
        | ~ rline(X6)
        | ~ ron(sK3,X6)
        | ~ rpoint(X1)
        | ~ rpoint(X0) )
    | ~ spl54_52 ),
    inference(avatar_component_clause,[],[f3982]) ).

fof(f3999,plain,
    ( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
        ( vd684 = vangle(X2,sK3,X3)
        | ~ rpoint(X0)
        | ~ rpoint(X1)
        | ~ rline(X4)
        | ~ rline(X5)
        | ~ ron(sK3,X4)
        | ~ ron(X0,X4)
        | ~ ron(sK1,X4)
        | ~ ron(X1,X5)
        | ~ ron(sK2,X5)
        | sK3 = X0
        | sK3 = X1
        | rR(sK3,X0,sK1)
        | rR(sK3,X1,sK2)
        | ~ rpoint(X2)
        | ~ rpoint(X3)
        | ~ rline(X6)
        | ~ rline(X7)
        | ~ ron(sK3,X6)
        | ~ ron(X2,X6)
        | ~ ron(sK1,X6)
        | ~ ron(X3,X7)
        | ~ ron(sK2,X7)
        | sK3 = X2
        | sK3 = X3
        | rR(sK3,X2,sK1)
        | rR(sK3,X3,sK2)
        | rR(sK3,X0,X1)
        | ~ ron(X1,X8)
        | ~ ron(X0,X8)
        | ~ ron(sK3,X8)
        | ~ rline(X8) )
    | ~ spl54_45 ),
    inference(forward_subsumption_resolution,[],[f3814,f563]) ).

fof(f4017,definition,
    ( spl54_55
  <=> ! [X4,X7,X8,X3,X2] :
        ( rR(sK3,X2,X3)
        | rR(sK3,X3,sK2)
        | rR(sK3,X2,sK1)
        | ~ ron(sK2,X8)
        | ~ ron(X3,X8)
        | ~ ron(sK1,X7)
        | ~ ron(X2,X7)
        | ~ rline(X8)
        | ~ rline(X7)
        | ~ ron(sK3,X7)
        | ~ rpoint(X2)
        | ~ rpoint(X3)
        | ~ rline(X4)
        | sK3 = X2
        | sK3 = X3
        | ~ ron(sK3,X4)
        | ~ ron(X2,X4)
        | ~ ron(X3,X4) ) ),
    introduced(definition,[new_symbols(definition,[spl54_55])],[avatar_definition]) ).

fof(f4018,plain,
    ( ! [X2,X3,X8,X7,X4] :
        ( rR(sK3,X3,sK2)
        | rR(sK3,X2,X3)
        | rR(sK3,X2,sK1)
        | ~ ron(sK2,X8)
        | ~ ron(X3,X8)
        | ~ ron(sK1,X7)
        | ~ ron(X2,X7)
        | ~ rline(X8)
        | ~ rline(X7)
        | ~ ron(sK3,X7)
        | ~ rpoint(X2)
        | ~ rpoint(X3)
        | ~ rline(X4)
        | sK3 = X2
        | sK3 = X3
        | ~ ron(sK3,X4)
        | ~ ron(X2,X4)
        | ~ ron(X3,X4) )
    | ~ spl54_55 ),
    inference(avatar_component_clause,[],[f4017]) ).

fof(f4030,plain,
    ( spl54_55
    | spl54_52
    | ~ spl54_45 ),
    inference(avatar_split_clause,[],[f3999,f3644,f3982,f4017]) ).

fof(f4348,plain,
    ( ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
        ( vd684 != vangle(X0,sK3,X1)
        | ~ rpoint(X2)
        | ~ rpoint(X3)
        | ~ rline(X4)
        | ~ rline(X5)
        | ~ ron(sK6,X4)
        | ~ ron(sK5,X4)
        | ~ ron(X2,X4)
        | ~ ron(sK4,X5)
        | ~ ron(X3,X5)
        | sK6 = X2
        | sK6 = X3
        | rR(sK6,sK5,X2)
        | rR(sK6,sK4,X3)
        | rR(sK3,X1,sK2)
        | rR(sK3,X0,sK1)
        | sK3 = X1
        | sK3 = X0
        | ~ ron(sK2,X6)
        | ~ ron(X1,X6)
        | ~ ron(sK1,X7)
        | ~ ron(X0,X7)
        | ~ ron(sK3,X7)
        | ~ rline(X6)
        | ~ rline(X7)
        | ~ rpoint(X1)
        | ~ rpoint(X0)
        | rR(sK6,sK4,X3)
        | rR(sK6,sK5,X2)
        | sK6 = X3
        | sK6 = X2
        | ~ ron(X3,X8)
        | ~ ron(sK4,X8)
        | ~ ron(X2,X9)
        | ~ ron(sK5,X9)
        | ~ ron(sK6,X9)
        | ~ rline(X8)
        | ~ rline(X9)
        | ~ rpoint(X3)
        | ~ rpoint(X2) )
    | spl54_15
    | spl54_16
    | spl54_18
    | ~ spl54_42 ),
    inference(superposition,[],[f3286,f3275]) ).

fof(f4363,plain,
    ( ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
        ( vd684 != vangle(X0,sK3,X1)
        | ~ rpoint(X2)
        | ~ rpoint(X3)
        | ~ rline(X4)
        | ~ rline(X5)
        | ~ ron(sK6,X4)
        | ~ ron(sK5,X4)
        | ~ ron(X2,X4)
        | ~ ron(sK4,X5)
        | ~ ron(X3,X5)
        | sK6 = X2
        | sK6 = X3
        | rR(sK6,sK5,X2)
        | rR(sK6,sK4,X3)
        | rR(sK3,X1,sK2)
        | rR(sK3,X0,sK1)
        | sK3 = X1
        | sK3 = X0
        | ~ ron(sK2,X6)
        | ~ ron(X1,X6)
        | ~ ron(sK1,X7)
        | ~ ron(X0,X7)
        | ~ ron(sK3,X7)
        | ~ rline(X6)
        | ~ rline(X7)
        | ~ rpoint(X1)
        | ~ rpoint(X0)
        | ~ ron(X3,X8)
        | ~ ron(sK4,X8)
        | ~ ron(X2,X9)
        | ~ ron(sK5,X9)
        | ~ ron(sK6,X9)
        | ~ rline(X8)
        | ~ rline(X9) )
    | spl54_15
    | spl54_16
    | spl54_18
    | ~ spl54_42 ),
    inference(duplicate_literal_removal,[],[f4348]) ).

fof(f4373,plain,
    ( ~ ron(sK4,sK10(sK6,sK4))
    | ~ spl54_47 ),
    inference(unit_resulting_resolution,[],[f3716,f2287]) ).

fof(f4384,plain,
    ( $false
    | ~ spl54_47 ),
    inference(forward_subsumption_resolution,[],[f4373,f3089]) ).

fof(f4385,plain,
    ~ spl54_47,
    inference(avatar_contradiction_clause,[],[f4384]) ).

fof(f4464,plain,
    ( ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
        ( ~ rpoint(X2)
        | ~ rpoint(X3)
        | ~ rline(X4)
        | ~ rline(X5)
        | ~ ron(sK6,X4)
        | ~ ron(sK5,X4)
        | ~ ron(X2,X4)
        | ~ ron(sK4,X5)
        | ~ ron(X3,X5)
        | sK6 = X2
        | sK6 = X3
        | rR(sK6,sK5,X2)
        | rR(sK6,sK4,X3)
        | rR(sK3,X1,sK2)
        | rR(sK3,X0,sK1)
        | sK3 = X1
        | sK3 = X0
        | ~ ron(sK2,X6)
        | ~ ron(X1,X6)
        | ~ ron(sK1,X7)
        | ~ ron(X0,X7)
        | ~ ron(sK3,X7)
        | ~ rline(X6)
        | ~ rline(X7)
        | ~ rpoint(X1)
        | ~ rpoint(X0)
        | ~ ron(X3,X8)
        | ~ ron(sK4,X8)
        | ~ ron(X2,X9)
        | ~ ron(sK5,X9)
        | ~ ron(sK6,X9)
        | ~ rline(X8)
        | ~ rline(X9) )
    | spl54_15
    | spl54_16
    | spl54_18
    | ~ spl54_42
    | ~ spl54_52 ),
    inference(forward_subsumption_resolution,[],[f4363,f3983]) ).

fof(f4491,definition,
    ( spl54_68
  <=> ! [X0,X7] :
        ( rR(sK3,X0,sK1)
        | ~ rpoint(X0)
        | ~ rline(X7)
        | ~ ron(sK3,X7)
        | ~ ron(X0,X7)
        | ~ ron(sK1,X7)
        | sK3 = X0 ) ),
    introduced(definition,[new_symbols(definition,[spl54_68])],[avatar_definition]) ).

fof(f4492,plain,
    ( ! [X0,X7] :
        ( rR(sK3,X0,sK1)
        | ~ rpoint(X0)
        | ~ rline(X7)
        | ~ ron(sK3,X7)
        | ~ ron(X0,X7)
        | ~ ron(sK1,X7)
        | sK3 = X0 )
    | ~ spl54_68 ),
    inference(avatar_component_clause,[],[f4491]) ).

fof(f4494,definition,
    ( spl54_69
  <=> ! [X6,X1] :
        ( rR(sK3,X1,sK2)
        | ~ rpoint(X1)
        | ~ rline(X6)
        | ~ ron(X1,X6)
        | ~ ron(sK2,X6)
        | sK3 = X1 ) ),
    introduced(definition,[new_symbols(definition,[spl54_69])],[avatar_definition]) ).

fof(f4495,plain,
    ( ! [X1,X6] :
        ( rR(sK3,X1,sK2)
        | ~ rpoint(X1)
        | ~ rline(X6)
        | ~ ron(X1,X6)
        | ~ ron(sK2,X6)
        | sK3 = X1 )
    | ~ spl54_69 ),
    inference(avatar_component_clause,[],[f4494]) ).

fof(f4496,plain,
    ( spl54_68
    | spl54_69
    | spl54_44
    | spl54_43
    | spl54_15
    | spl54_16
    | spl54_18
    | ~ spl54_42
    | ~ spl54_52 ),
    inference(avatar_split_clause,[],[f4464,f3982,f3285,f2051,f2042,f2038,f3638,f3641,f4494,f4491]) ).

fof(f4596,definition,
    ( spl54_78
  <=> ! [X2] :
        ( ~ ron(sK2,X2)
        | ~ rline(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl54_78])],[avatar_definition]) ).

fof(f4597,plain,
    ( ! [X2] :
        ( ~ ron(sK2,X2)
        | ~ rline(X2) )
    | ~ spl54_78 ),
    inference(avatar_component_clause,[],[f4596]) ).

fof(f4991,plain,
    ( ! [X0] :
        ( ~ rpoint(sK1)
        | ~ rline(X0)
        | ~ ron(sK3,X0)
        | ~ ron(sK1,X0)
        | ~ ron(sK1,X0)
        | sK1 = sK3
        | ~ rpoint(sK1)
        | ~ rpoint(sK3) )
    | ~ spl54_68 ),
    inference(resolution,[],[f4492,f1711]) ).

fof(f4994,plain,
    ( ! [X0] :
        ( ~ rpoint(sK1)
        | ~ rline(X0)
        | ~ ron(sK3,X0)
        | ~ ron(sK1,X0)
        | sK1 = sK3
        | ~ rpoint(sK3) )
    | ~ spl54_68 ),
    inference(duplicate_literal_removal,[],[f4991]) ).

fof(f4999,plain,
    ( ! [X0] :
        ( ~ rline(X0)
        | ~ ron(sK3,X0)
        | ~ ron(sK1,X0)
        | sK1 = sK3
        | ~ rpoint(sK3) )
    | ~ spl54_68 ),
    inference(forward_subsumption_resolution,[],[f4994,f567]) ).

fof(f5004,plain,
    ( ! [X0] :
        ( ~ rline(X0)
        | ~ ron(sK3,X0)
        | ~ ron(sK1,X0)
        | ~ rpoint(sK3) )
    | spl54_16
    | ~ spl54_68 ),
    inference(forward_subsumption_resolution,[],[f4999,f2043]) ).

fof(f5009,plain,
    ( ! [X0] :
        ( ~ rline(X0)
        | ~ ron(sK3,X0)
        | ~ ron(sK1,X0) )
    | spl54_16
    | ~ spl54_68 ),
    inference(forward_subsumption_resolution,[],[f5004,f563]) ).

fof(f5011,plain,
    ( spl54_31
    | spl54_16
    | ~ spl54_68 ),
    inference(avatar_split_clause,[],[f5009,f4491,f2042,f2842]) ).

fof(f5019,plain,
    ( ! [X0] :
        ( ~ rpoint(sK2)
        | ~ rline(X0)
        | ~ ron(sK2,X0)
        | ~ ron(sK2,X0)
        | sK2 = sK3
        | ~ rpoint(sK2)
        | ~ rpoint(sK3) )
    | ~ spl54_69 ),
    inference(resolution,[],[f4495,f1711]) ).

fof(f5022,plain,
    ( ! [X0] :
        ( ~ rpoint(sK2)
        | ~ rline(X0)
        | ~ ron(sK2,X0)
        | sK2 = sK3
        | ~ rpoint(sK3) )
    | ~ spl54_69 ),
    inference(duplicate_literal_removal,[],[f5019]) ).

fof(f5027,plain,
    ( ! [X0] :
        ( ~ rline(X0)
        | ~ ron(sK2,X0)
        | sK2 = sK3
        | ~ rpoint(sK3) )
    | ~ spl54_69 ),
    inference(forward_subsumption_resolution,[],[f5022,f565]) ).

fof(f5035,plain,
    ( ! [X0] :
        ( ~ rline(X0)
        | ~ ron(sK2,X0)
        | ~ rpoint(sK3) )
    | spl54_15
    | ~ spl54_69 ),
    inference(forward_subsumption_resolution,[],[f5027,f2039]) ).

fof(f5041,plain,
    ( ! [X0] :
        ( ~ rline(X0)
        | ~ ron(sK2,X0) )
    | spl54_15
    | ~ spl54_69 ),
    inference(forward_subsumption_resolution,[],[f5035,f563]) ).

fof(f5043,plain,
    ( spl54_78
    | spl54_15
    | ~ spl54_69 ),
    inference(avatar_split_clause,[],[f5041,f4494,f2038,f4596]) ).

fof(f5201,plain,
    ( ! [X0] :
        ( ~ rline(sK10(sK3,X0))
        | ~ ron(sK1,sK10(sK3,X0))
        | sK3 = X0
        | ~ rpoint(X0)
        | ~ rpoint(sK3) )
    | ~ spl54_31 ),
    inference(resolution,[],[f2843,f1069]) ).

fof(f5202,plain,
    ( ! [X0] :
        ( ~ ron(sK1,sK10(sK3,X0))
        | sK3 = X0
        | ~ rpoint(X0)
        | ~ rpoint(sK3) )
    | ~ spl54_31 ),
    inference(forward_subsumption_resolution,[],[f5201,f1071]) ).

fof(f5204,plain,
    ( ! [X0] :
        ( ~ ron(sK1,sK10(sK3,X0))
        | sK3 = X0
        | ~ rpoint(X0) )
    | ~ spl54_31 ),
    inference(forward_subsumption_resolution,[],[f5202,f563]) ).

fof(f5208,plain,
    ( sK1 = sK3
    | ~ rpoint(sK1)
    | sK1 = sK3
    | ~ rpoint(sK1)
    | ~ rpoint(sK3)
    | ~ spl54_31 ),
    inference(resolution,[],[f5204,f1067]) ).

fof(f5209,plain,
    ( sK1 = sK3
    | ~ rpoint(sK1)
    | ~ rpoint(sK3)
    | ~ spl54_31 ),
    inference(duplicate_literal_removal,[],[f5208]) ).

fof(f5210,plain,
    ( ~ rpoint(sK1)
    | ~ rpoint(sK3)
    | spl54_16
    | ~ spl54_31 ),
    inference(forward_subsumption_resolution,[],[f5209,f2043]) ).

fof(f5213,plain,
    ( ~ rpoint(sK3)
    | spl54_16
    | ~ spl54_31 ),
    inference(forward_subsumption_resolution,[],[f5210,f567]) ).

fof(f5214,plain,
    ( $false
    | spl54_16
    | ~ spl54_31 ),
    inference(forward_subsumption_resolution,[],[f5213,f563]) ).

fof(f5215,plain,
    ( spl54_16
    | ~ spl54_31 ),
    inference(avatar_contradiction_clause,[],[f5214]) ).

fof(f5729,plain,
    ( ! [X2,X3,X0,X1] :
        ( rR(sK3,X0,sK1)
        | rR(sK3,X0,sK1)
        | ~ ron(sK2,X1)
        | ~ ron(sK1,X1)
        | ~ ron(sK1,X2)
        | ~ ron(X0,X2)
        | ~ rline(X1)
        | ~ rline(X2)
        | ~ ron(sK3,X2)
        | ~ rpoint(X0)
        | ~ rpoint(sK1)
        | ~ rline(X3)
        | sK3 = X0
        | sK1 = sK3
        | ~ ron(sK3,X3)
        | ~ ron(X0,X3)
        | ~ ron(sK1,X3) )
    | spl54_41
    | ~ spl54_55 ),
    inference(resolution,[],[f4018,f3283]) ).

fof(f5752,plain,
    ( ! [X2,X3,X0,X1] :
        ( rR(sK3,X0,sK1)
        | ~ ron(sK2,X1)
        | ~ ron(sK1,X1)
        | ~ ron(sK1,X2)
        | ~ ron(X0,X2)
        | ~ rline(X1)
        | ~ rline(X2)
        | ~ ron(sK3,X2)
        | ~ rpoint(X0)
        | ~ rpoint(sK1)
        | ~ rline(X3)
        | sK3 = X0
        | sK1 = sK3
        | ~ ron(sK3,X3)
        | ~ ron(X0,X3)
        | ~ ron(sK1,X3) )
    | spl54_41
    | ~ spl54_55 ),
    inference(duplicate_literal_removal,[],[f5729]) ).

fof(f5761,plain,
    ( ! [X2,X3,X0,X1] :
        ( rR(sK3,X0,sK1)
        | ~ ron(sK2,X1)
        | ~ ron(sK1,X1)
        | ~ ron(sK1,X2)
        | ~ ron(X0,X2)
        | ~ rline(X1)
        | ~ rline(X2)
        | ~ ron(sK3,X2)
        | ~ rpoint(X0)
        | ~ rline(X3)
        | sK3 = X0
        | sK1 = sK3
        | ~ ron(sK3,X3)
        | ~ ron(X0,X3)
        | ~ ron(sK1,X3) )
    | spl54_41
    | ~ spl54_55 ),
    inference(forward_subsumption_resolution,[],[f5752,f567]) ).

fof(f5770,plain,
    ( ! [X2,X3,X0,X1] :
        ( rR(sK3,X0,sK1)
        | ~ ron(sK2,X1)
        | ~ ron(sK1,X1)
        | ~ ron(sK1,X2)
        | ~ ron(X0,X2)
        | ~ rline(X1)
        | ~ rline(X2)
        | ~ ron(sK3,X2)
        | ~ rpoint(X0)
        | ~ rline(X3)
        | sK3 = X0
        | ~ ron(sK3,X3)
        | ~ ron(X0,X3)
        | ~ ron(sK1,X3) )
    | spl54_16
    | spl54_41
    | ~ spl54_55 ),
    inference(forward_subsumption_resolution,[],[f5761,f2043]) ).

fof(f5775,definition,
    ( spl54_83
  <=> ! [X1] :
        ( ~ ron(sK2,X1)
        | ~ rline(X1)
        | ~ ron(sK1,X1) ) ),
    introduced(definition,[new_symbols(definition,[spl54_83])],[avatar_definition]) ).

fof(f5776,plain,
    ( ! [X1] :
        ( ~ ron(sK2,X1)
        | ~ rline(X1)
        | ~ ron(sK1,X1) )
    | ~ spl54_83 ),
    inference(avatar_component_clause,[],[f5775]) ).

fof(f5778,definition,
    ( spl54_84
  <=> ! [X2,X0,X3] :
        ( rR(sK3,X0,sK1)
        | ~ ron(sK1,X3)
        | ~ ron(X0,X3)
        | sK3 = X0
        | ~ rline(X3)
        | ~ ron(sK3,X3)
        | ~ rpoint(X0)
        | ~ ron(sK3,X2)
        | ~ rline(X2)
        | ~ ron(X0,X2)
        | ~ ron(sK1,X2) ) ),
    introduced(definition,[new_symbols(definition,[spl54_84])],[avatar_definition]) ).

fof(f5779,plain,
    ( ! [X2,X3,X0] :
        ( rR(sK3,X0,sK1)
        | ~ ron(sK1,X3)
        | ~ ron(X0,X3)
        | sK3 = X0
        | ~ rline(X3)
        | ~ ron(sK3,X3)
        | ~ rpoint(X0)
        | ~ ron(sK3,X2)
        | ~ rline(X2)
        | ~ ron(X0,X2)
        | ~ ron(sK1,X2) )
    | ~ spl54_84 ),
    inference(avatar_component_clause,[],[f5778]) ).

fof(f5867,plain,
    ( ! [X0] :
        ( vd684 != vd684
        | ron(sK1,X0)
        | ~ ron(sK2,X0)
        | ~ ron(sK3,X0)
        | sK1 = sK3
        | sK2 = sK3
        | ~ rline(X0)
        | ~ rpoint(sK1)
        | ~ rpoint(sK2)
        | ~ rpoint(sK3) )
    | ~ spl54_27 ),
    inference(superposition,[],[f1054,f2470]) ).

fof(f5868,plain,
    ( ! [X0] :
        ( vd684 != vd684
        | ron(sK1,X0)
        | ~ ron(sK3,X0)
        | ~ ron(sK2,X0)
        | sK1 = sK2
        | sK2 = sK3
        | ~ rline(X0)
        | ~ rpoint(sK1)
        | ~ rpoint(sK3)
        | ~ rpoint(sK2) )
    | ~ spl54_35 ),
    inference(superposition,[],[f1054,f2870]) ).

fof(f5877,plain,
    ( ! [X0] :
        ( ron(sK1,X0)
        | ~ ron(sK3,X0)
        | ~ ron(sK2,X0)
        | sK1 = sK2
        | sK2 = sK3
        | ~ rline(X0)
        | ~ rpoint(sK1)
        | ~ rpoint(sK3)
        | ~ rpoint(sK2) )
    | ~ spl54_35 ),
    inference(trivial_inequality_removal,[],[f5868]) ).

fof(f5878,plain,
    ( ! [X0] :
        ( ron(sK1,X0)
        | ~ ron(sK2,X0)
        | ~ ron(sK3,X0)
        | sK1 = sK3
        | sK2 = sK3
        | ~ rline(X0)
        | ~ rpoint(sK1)
        | ~ rpoint(sK2)
        | ~ rpoint(sK3) )
    | ~ spl54_27 ),
    inference(trivial_inequality_removal,[],[f5867]) ).

fof(f5910,plain,
    ( ! [X0] :
        ( ron(sK1,X0)
        | ~ ron(sK3,X0)
        | ~ ron(sK2,X0)
        | sK2 = sK3
        | ~ rline(X0)
        | ~ rpoint(sK1)
        | ~ rpoint(sK3)
        | ~ rpoint(sK2) )
    | spl54_18
    | ~ spl54_35 ),
    inference(forward_subsumption_resolution,[],[f5877,f2052]) ).

fof(f5911,plain,
    ( ! [X0] :
        ( ron(sK1,X0)
        | ~ ron(sK2,X0)
        | ~ ron(sK3,X0)
        | sK2 = sK3
        | ~ rline(X0)
        | ~ rpoint(sK1)
        | ~ rpoint(sK2)
        | ~ rpoint(sK3) )
    | spl54_16
    | ~ spl54_27 ),
    inference(forward_subsumption_resolution,[],[f5878,f2043]) ).

fof(f5970,plain,
    ( ! [X0] :
        ( ron(sK1,X0)
        | ~ ron(sK3,X0)
        | ~ ron(sK2,X0)
        | ~ rline(X0)
        | ~ rpoint(sK1)
        | ~ rpoint(sK3)
        | ~ rpoint(sK2) )
    | spl54_15
    | spl54_18
    | ~ spl54_35 ),
    inference(forward_subsumption_resolution,[],[f5910,f2039]) ).

fof(f5971,plain,
    ( ! [X0] :
        ( ron(sK1,X0)
        | ~ ron(sK2,X0)
        | ~ ron(sK3,X0)
        | ~ rline(X0)
        | ~ rpoint(sK1)
        | ~ rpoint(sK2)
        | ~ rpoint(sK3) )
    | spl54_15
    | spl54_16
    | ~ spl54_27 ),
    inference(forward_subsumption_resolution,[],[f5911,f2039]) ).

fof(f5977,plain,
    ( ! [X0] :
        ( ron(sK1,X0)
        | ~ ron(sK3,X0)
        | ~ ron(sK2,X0)
        | ~ rline(X0)
        | ~ rpoint(sK3)
        | ~ rpoint(sK2) )
    | spl54_15
    | spl54_18
    | ~ spl54_35 ),
    inference(forward_subsumption_resolution,[],[f5970,f567]) ).

fof(f5978,plain,
    ( ! [X0] :
        ( ron(sK1,X0)
        | ~ ron(sK2,X0)
        | ~ ron(sK3,X0)
        | ~ rline(X0)
        | ~ rpoint(sK2)
        | ~ rpoint(sK3) )
    | spl54_15
    | spl54_16
    | ~ spl54_27 ),
    inference(forward_subsumption_resolution,[],[f5971,f567]) ).

fof(f5987,plain,
    ( ! [X0] :
        ( ron(sK1,X0)
        | ~ ron(sK3,X0)
        | ~ ron(sK2,X0)
        | ~ rline(X0)
        | ~ rpoint(sK2) )
    | spl54_15
    | spl54_18
    | ~ spl54_35 ),
    inference(forward_subsumption_resolution,[],[f5977,f563]) ).

fof(f5988,plain,
    ( ! [X0] :
        ( ron(sK1,X0)
        | ~ ron(sK2,X0)
        | ~ ron(sK3,X0)
        | ~ rline(X0)
        | ~ rpoint(sK3) )
    | spl54_15
    | spl54_16
    | ~ spl54_27 ),
    inference(forward_subsumption_resolution,[],[f5978,f565]) ).

fof(f5992,plain,
    ( ! [X0] :
        ( ron(sK1,X0)
        | ~ ron(sK3,X0)
        | ~ ron(sK2,X0)
        | ~ rline(X0) )
    | spl54_15
    | spl54_18
    | ~ spl54_35 ),
    inference(forward_subsumption_resolution,[],[f5987,f565]) ).

fof(f5993,plain,
    ( ! [X0] :
        ( ron(sK1,X0)
        | ~ ron(sK2,X0)
        | ~ ron(sK3,X0)
        | ~ rline(X0) )
    | spl54_15
    | spl54_16
    | ~ spl54_27 ),
    inference(forward_subsumption_resolution,[],[f5988,f563]) ).

fof(f5997,plain,
    ( ! [X0] :
        ( ~ ron(sK3,X0)
        | ~ ron(sK2,X0)
        | ~ rline(X0) )
    | spl54_15
    | spl54_18
    | ~ spl54_35 ),
    inference(forward_subsumption_resolution,[],[f5992,f847]) ).

fof(f5998,plain,
    ( ! [X0] :
        ( ~ ron(sK2,X0)
        | ~ ron(sK3,X0)
        | ~ rline(X0) )
    | spl54_15
    | spl54_16
    | ~ spl54_27 ),
    inference(forward_subsumption_resolution,[],[f5993,f847]) ).

fof(f6001,plain,
    ( spl54_32
    | spl54_15
    | spl54_18
    | ~ spl54_35 ),
    inference(avatar_split_clause,[],[f5997,f2860,f2051,f2038,f2845]) ).

fof(f6002,plain,
    ( spl54_32
    | spl54_15
    | spl54_16
    | ~ spl54_27 ),
    inference(avatar_split_clause,[],[f5998,f2468,f2042,f2038,f2845]) ).

fof(f6043,plain,
    ( rR(sK3,sK2,sK1)
    | ~ spl54_41 ),
    inference(unit_resulting_resolution,[],[f1135,f567,f563,f565,f3282]) ).

fof(f6107,plain,
    ( ~ rR(sK2,sK3,sK1)
    | ~ spl54_41 ),
    inference(unit_resulting_resolution,[],[f1124,f565,f563,f567,f6043]) ).

fof(f6160,plain,
    ( ~ rline(vd1197)
    | ~ spl54_78 ),
    inference(unit_resulting_resolution,[],[f4597,f845]) ).

fof(f6172,plain,
    ( $false
    | ~ spl54_78 ),
    inference(forward_subsumption_resolution,[],[f6160,f553]) ).

fof(f6173,plain,
    ~ spl54_78,
    inference(avatar_contradiction_clause,[],[f6172]) ).

fof(f6483,plain,
    ( ! [X0,X1] :
        ( vd684 = sF52
        | ~ rpoint(sK3)
        | ~ rpoint(sK3)
        | ~ rline(X0)
        | ~ rline(X1)
        | ~ ron(sK2,X0)
        | ~ ron(sK3,X0)
        | ~ ron(sK3,X0)
        | ~ ron(sK1,X1)
        | ~ ron(sK3,X1)
        | sK2 = sK3
        | sK2 = sK3
        | rR(sK2,sK3,sK3)
        | rR(sK2,sK1,sK3) )
    | spl54_15
    | ~ spl54_19
    | spl54_33 ),
    inference(superposition,[],[f2998,f2400]) ).

fof(f6484,plain,
    ( ! [X0,X1] :
        ( vd684 = sF52
        | ~ rpoint(sK3)
        | ~ rline(X0)
        | ~ rline(X1)
        | ~ ron(sK2,X0)
        | ~ ron(sK3,X0)
        | ~ ron(sK1,X1)
        | ~ ron(sK3,X1)
        | sK2 = sK3
        | rR(sK2,sK3,sK3)
        | rR(sK2,sK1,sK3) )
    | spl54_15
    | ~ spl54_19
    | spl54_33 ),
    inference(duplicate_literal_removal,[],[f6483]) ).

fof(f6498,plain,
    ( ! [X0,X1] :
        ( ~ rpoint(sK3)
        | ~ rline(X0)
        | ~ rline(X1)
        | ~ ron(sK2,X0)
        | ~ ron(sK3,X0)
        | ~ ron(sK1,X1)
        | ~ ron(sK3,X1)
        | sK2 = sK3
        | rR(sK2,sK3,sK3)
        | rR(sK2,sK1,sK3) )
    | spl54_15
    | ~ spl54_19
    | spl54_33
    | spl54_35 ),
    inference(forward_subsumption_resolution,[],[f6484,f2861]) ).

fof(f6500,plain,
    ( ! [X0,X1] :
        ( ~ rline(X0)
        | ~ rline(X1)
        | ~ ron(sK2,X0)
        | ~ ron(sK3,X0)
        | ~ ron(sK1,X1)
        | ~ ron(sK3,X1)
        | sK2 = sK3
        | rR(sK2,sK3,sK3)
        | rR(sK2,sK1,sK3) )
    | spl54_15
    | ~ spl54_19
    | spl54_33
    | spl54_35 ),
    inference(forward_subsumption_resolution,[],[f6498,f563]) ).

fof(f6502,plain,
    ( ! [X0,X1] :
        ( ~ rline(X0)
        | ~ rline(X1)
        | ~ ron(sK2,X0)
        | ~ ron(sK3,X0)
        | ~ ron(sK1,X1)
        | ~ ron(sK3,X1)
        | rR(sK2,sK3,sK3)
        | rR(sK2,sK1,sK3) )
    | spl54_15
    | ~ spl54_19
    | spl54_33
    | spl54_35 ),
    inference(forward_subsumption_resolution,[],[f6500,f2039]) ).

fof(f6504,plain,
    ( ! [X0,X1] :
        ( ~ rline(X0)
        | ~ rline(X1)
        | ~ ron(sK2,X0)
        | ~ ron(sK3,X0)
        | ~ ron(sK1,X1)
        | ~ ron(sK3,X1)
        | rR(sK2,sK1,sK3) )
    | spl54_15
    | ~ spl54_19
    | spl54_33
    | spl54_35 ),
    inference(forward_subsumption_resolution,[],[f6502,f2849]) ).

fof(f6506,plain,
    ( ! [X0,X1] :
        ( ~ rline(X0)
        | ~ rline(X1)
        | ~ ron(sK2,X0)
        | ~ ron(sK3,X0)
        | ~ ron(sK1,X1)
        | ~ ron(sK3,X1) )
    | spl54_15
    | ~ spl54_19
    | spl54_30
    | spl54_33
    | spl54_35 ),
    inference(forward_subsumption_resolution,[],[f6504,f2839]) ).

fof(f6520,plain,
    ( rR(sK2,sK3,sK1)
    | ~ rpoint(sK3)
    | ~ rpoint(sK2)
    | ~ rpoint(sK1)
    | ~ spl54_30 ),
    inference(resolution,[],[f2840,f1135]) ).

fof(f6521,plain,
    ( ~ rpoint(sK3)
    | ~ rpoint(sK2)
    | ~ rpoint(sK1)
    | ~ spl54_30
    | ~ spl54_41 ),
    inference(forward_subsumption_resolution,[],[f6520,f6107]) ).

fof(f6529,plain,
    ( ~ rpoint(sK2)
    | ~ rpoint(sK1)
    | ~ spl54_30
    | ~ spl54_41 ),
    inference(forward_subsumption_resolution,[],[f6521,f563]) ).

fof(f6532,plain,
    ( ~ rpoint(sK1)
    | ~ spl54_30
    | ~ spl54_41 ),
    inference(forward_subsumption_resolution,[],[f6529,f565]) ).

fof(f6535,plain,
    ( $false
    | ~ spl54_30
    | ~ spl54_41 ),
    inference(forward_subsumption_resolution,[],[f6532,f567]) ).

fof(f6536,plain,
    ( ~ spl54_30
    | ~ spl54_41 ),
    inference(avatar_contradiction_clause,[],[f6535]) ).

fof(f6538,plain,
    ( spl54_31
    | spl54_32
    | spl54_15
    | ~ spl54_19
    | spl54_30
    | spl54_33
    | spl54_35 ),
    inference(avatar_split_clause,[],[f6506,f2860,f2848,f2838,f2399,f2038,f2845,f2842]) ).

fof(f6594,plain,
    ( ~ rline(vd1197)
    | ~ ron(sK2,vd1197)
    | ~ spl54_32 ),
    inference(resolution,[],[f2846,f846]) ).

fof(f6600,plain,
    ( ~ ron(sK2,vd1197)
    | ~ spl54_32 ),
    inference(forward_subsumption_resolution,[],[f6594,f553]) ).

fof(f6609,plain,
    ( $false
    | ~ spl54_32 ),
    inference(forward_subsumption_resolution,[],[f6600,f845]) ).

fof(f6610,plain,
    ~ spl54_32,
    inference(avatar_contradiction_clause,[],[f6609]) ).

fof(f6612,plain,
    ( spl54_83
    | spl54_84
    | spl54_16
    | spl54_41
    | ~ spl54_55 ),
    inference(avatar_split_clause,[],[f5770,f4017,f3281,f2042,f5778,f5775]) ).

fof(f6895,plain,
    ( ! [X0] :
        ( ~ rline(sK10(sK2,X0))
        | ~ ron(sK1,sK10(sK2,X0))
        | sK2 = X0
        | ~ rpoint(X0)
        | ~ rpoint(sK2) )
    | ~ spl54_83 ),
    inference(resolution,[],[f5776,f1069]) ).

fof(f6896,plain,
    ( ! [X0] :
        ( ~ ron(sK1,sK10(sK2,X0))
        | sK2 = X0
        | ~ rpoint(X0)
        | ~ rpoint(sK2) )
    | ~ spl54_83 ),
    inference(forward_subsumption_resolution,[],[f6895,f1071]) ).

fof(f6898,plain,
    ( ! [X0] :
        ( ~ ron(sK1,sK10(sK2,X0))
        | sK2 = X0
        | ~ rpoint(X0) )
    | ~ spl54_83 ),
    inference(forward_subsumption_resolution,[],[f6896,f565]) ).

fof(f6902,plain,
    ( sK1 = sK2
    | ~ rpoint(sK1)
    | sK1 = sK2
    | ~ rpoint(sK1)
    | ~ rpoint(sK2)
    | ~ spl54_83 ),
    inference(resolution,[],[f6898,f1067]) ).

fof(f6903,plain,
    ( sK1 = sK2
    | ~ rpoint(sK1)
    | ~ rpoint(sK2)
    | ~ spl54_83 ),
    inference(duplicate_literal_removal,[],[f6902]) ).

fof(f6904,plain,
    ( ~ rpoint(sK1)
    | ~ rpoint(sK2)
    | spl54_18
    | ~ spl54_83 ),
    inference(forward_subsumption_resolution,[],[f6903,f2052]) ).

fof(f6907,plain,
    ( ~ rpoint(sK2)
    | spl54_18
    | ~ spl54_83 ),
    inference(forward_subsumption_resolution,[],[f6904,f567]) ).

fof(f6908,plain,
    ( $false
    | spl54_18
    | ~ spl54_83 ),
    inference(forward_subsumption_resolution,[],[f6907,f565]) ).

fof(f6909,plain,
    ( spl54_18
    | ~ spl54_83 ),
    inference(avatar_contradiction_clause,[],[f6908]) ).

fof(f7245,plain,
    ( rR(sK3,sK1,sK1)
    | spl54_16
    | ~ spl54_84 ),
    inference(unit_resulting_resolution,[],[f5779,f2285,f3086,f3086,f3104,f567,f2043,f2285,f3086,f3086,f3104]) ).

fof(f7255,plain,
    ( $false
    | spl54_16
    | ~ spl54_84 ),
    inference(forward_subsumption_resolution,[],[f7245,f2961]) ).

fof(f7256,plain,
    ( spl54_16
    | ~ spl54_84 ),
    inference(avatar_contradiction_clause,[],[f7255]) ).

cnf(s20,plain,
    ~ spl54_16,
    inference(sat_conversion,[],[f2071]) ).

cnf(s33,plain,
    ( spl54_15
    | spl54_18
    | spl54_19 ),
    inference(sat_conversion,[],[f2420]) ).

cnf(s43,plain,
    ~ spl54_15,
    inference(sat_conversion,[],[f2513]) ).

cnf(s46,plain,
    ~ spl54_18,
    inference(sat_conversion,[],[f2552]) ).

cnf(s55,plain,
    ~ spl54_33,
    inference(sat_conversion,[],[f2997]) ).

cnf(s62,plain,
    ( spl54_16
    | spl54_18
    | spl54_38
    | spl54_42 ),
    inference(sat_conversion,[],[f3298]) ).

cnf(s63,plain,
    ( spl54_16
    | spl54_18
    | spl54_27
    | ~ spl54_38 ),
    inference(sat_conversion,[],[f3316]) ).

cnf(s64,plain,
    ( spl54_15
    | spl54_16
    | spl54_18
    | spl54_43
    | spl54_44
    | spl54_45 ),
    inference(sat_conversion,[],[f3646]) ).

cnf(s65,plain,
    ( spl54_37
    | spl54_37
    | ~ spl54_43 ),
    inference(sat_conversion,[],[f3669]) ).

cnf(s66,plain,
    ( spl54_37
    | ~ spl54_43 ),
    inference(rat,[],[s65]) ).

cnf(s68,plain,
    ~ spl54_37,
    inference(sat_conversion,[],[f3685]) ).

cnf(s76,plain,
    ( spl54_47
    | ~ spl54_44
    | spl54_47 ),
    inference(sat_conversion,[],[f3959]) ).

cnf(s77,plain,
    ( ~ spl54_44
    | spl54_47 ),
    inference(rat,[],[s76]) ).

cnf(s92,plain,
    ( ~ spl54_45
    | spl54_52
    | spl54_55 ),
    inference(sat_conversion,[],[f4030]) ).

cnf(s108,plain,
    ~ spl54_47,
    inference(sat_conversion,[],[f4385]) ).

cnf(s121,plain,
    ( spl54_15
    | spl54_16
    | spl54_18
    | ~ spl54_42
    | spl54_43
    | spl54_44
    | ~ spl54_52
    | spl54_68
    | spl54_69 ),
    inference(sat_conversion,[],[f4496]) ).

cnf(s191,plain,
    ( spl54_16
    | spl54_31
    | ~ spl54_68 ),
    inference(sat_conversion,[],[f5011]) ).

cnf(s194,plain,
    ( spl54_15
    | ~ spl54_69
    | spl54_78 ),
    inference(sat_conversion,[],[f5043]) ).

cnf(s197,plain,
    ( spl54_16
    | ~ spl54_31 ),
    inference(sat_conversion,[],[f5215]) ).

cnf(s229,plain,
    ( spl54_15
    | spl54_18
    | spl54_32
    | ~ spl54_35 ),
    inference(sat_conversion,[],[f6001]) ).

cnf(s230,plain,
    ( spl54_15
    | spl54_16
    | ~ spl54_27
    | spl54_32 ),
    inference(sat_conversion,[],[f6002]) ).

cnf(s240,plain,
    ~ spl54_78,
    inference(sat_conversion,[],[f6173]) ).

cnf(s257,plain,
    ( ~ spl54_30
    | ~ spl54_41 ),
    inference(sat_conversion,[],[f6536]) ).

cnf(s259,plain,
    ( spl54_15
    | ~ spl54_19
    | spl54_30
    | spl54_31
    | spl54_32
    | spl54_33
    | spl54_35 ),
    inference(sat_conversion,[],[f6538]) ).

cnf(s264,plain,
    ~ spl54_32,
    inference(sat_conversion,[],[f6610]) ).

cnf(s265,plain,
    ( spl54_16
    | spl54_41
    | ~ spl54_55
    | spl54_83
    | spl54_84 ),
    inference(sat_conversion,[],[f6612]) ).

cnf(s271,plain,
    ( spl54_18
    | ~ spl54_83 ),
    inference(sat_conversion,[],[f6909]) ).

cnf(s274,plain,
    ( spl54_16
    | ~ spl54_84 ),
    inference(sat_conversion,[],[f7256]) ).

cnf(s275,plain,
    ( spl54_15
    | ~ spl54_19
    | spl54_30
    | spl54_31
    | spl54_33
    | spl54_35 ),
    inference(rat,[],[s259,s264]) ).

cnf(s280,plain,
    ( spl54_15
    | spl54_16
    | ~ spl54_27 ),
    inference(rat,[],[s230,s264]) ).

cnf(s281,plain,
    ( spl54_15
    | spl54_18
    | ~ spl54_35 ),
    inference(rat,[],[s229,s264]) ).

cnf(s285,plain,
    ( spl54_15
    | ~ spl54_69 ),
    inference(rat,[],[s194,s240]) ).

cnf(s307,plain,
    ~ spl54_44,
    inference(rat,[],[s77,s108]) ).

cnf(s312,plain,
    ~ spl54_43,
    inference(rat,[],[s66,s68]) ).

cnf(s313,plain,
    ( spl54_15
    | spl54_16
    | spl54_18
    | spl54_45 ),
    inference(rat,[],[s64,s307,s312]) ).

cnf(s316,plain,
    ~ spl54_83,
    inference(rat,[],[s271,s46]) ).

cnf(s317,plain,
    ~ spl54_35,
    inference(rat,[],[s281,s46,s43]) ).

cnf(s318,plain,
    ~ spl54_69,
    inference(rat,[],[s285,s43]) ).

cnf(s323,plain,
    spl54_19,
    inference(rat,[],[s33,s46,s43]) ).

cnf(s328,plain,
    ~ spl54_84,
    inference(rat,[],[s274,s20]) ).

cnf(s329,plain,
    ~ spl54_27,
    inference(rat,[],[s280,s43,s20]) ).

cnf(s330,plain,
    ~ spl54_31,
    inference(rat,[],[s197,s20]) ).

cnf(s335,plain,
    spl54_45,
    inference(rat,[],[s313,s43,s46,s20]) ).

cnf(s336,plain,
    ~ spl54_38,
    inference(rat,[],[s63,s20,s46,s329]) ).

cnf(s338,plain,
    ~ spl54_68,
    inference(rat,[],[s191,s20,s330]) ).

cnf(s339,plain,
    spl54_30,
    inference(rat,[],[s275,s317,s55,s323,s43,s330]) ).

cnf(s341,plain,
    spl54_42,
    inference(rat,[],[s62,s20,s46,s336]) ).

cnf(s345,plain,
    ~ spl54_41,
    inference(rat,[],[s257,s339]) ).

cnf(s348,plain,
    ~ spl54_52,
    inference(rat,[],[s121,s318,s338,s20,s307,s312,s43,s46,s341]) ).

cnf(s349,plain,
    ~ spl54_55,
    inference(rat,[],[s265,s328,s316,s20,s345]) ).

cnf(s350,plain,
    $false,
    inference(rat,[],[s92,s335,s349,s348]) ).

fof(f7257,plain,
    $false,
    inference(avatar_sat_refutation,[],[s350]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : GEO302+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.37  % Computer : n008.cluster.edu
% 0.12/0.37  % Model    : x86_64 x86_64
% 0.12/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37  % Memory   : 8046.5625MB
% 0.12/0.37  % OS       : Linux 6.8.0-71-generic
% 0.12/0.37  % CPULimit : 300
% 0.12/0.37  % WCLimit  : 300
% 0.12/0.38  % DateTime : Sun Sep 27 08:03:10 UTC 2026
% 0.12/0.38  % CPUTime  : 
% 0.12/0.38  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.40  Running first-order theorem proving
% 0.12/0.40  Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 13.62/2.83  % (905591)Detected formulas, will run a generic FOF schedule.
% 13.62/2.83  % (905597)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=3547166907:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 13.62/2.83  % (905596)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=3825918420:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 13.62/2.83  % (905602)dis-21_1_sil=8000:lcm=predicate:random_seed=4283394694:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 13.62/2.83  % (905600)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=414993777:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 13.62/2.83  % (905601)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3643169167:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 13.62/2.83  % (905599)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3582257124:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 13.62/2.83  % (905598)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=912751499:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 13.62/2.83  % (905599)Refutation not found, incomplete strategy
% 13.62/2.83  % (905599)------------------------------
% 13.62/2.83  % (905599)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.62/2.83  % (905599)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.62/2.83  % (905599)CaDiCaL version: 2.1.3
% 13.62/2.83  % (905599)Termination reason: Refutation not found, incomplete strategy
% 13.62/2.83  % (905599)Time elapsed: 0.009 s
% 13.62/2.83  % (905599)Peak memory usage: 89 MB
% 13.62/2.83  % (905599)Instructions burned: 16 (million)
% 13.62/2.83  % (905600)Instruction limit reached! 
% 13.62/2.83  % (905600)------------------------------
% 13.62/2.83  % (905600)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.62/2.83  % (905600)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.62/2.83  % (905600)CaDiCaL version: 2.1.3
% 13.62/2.83  % (905600)Termination reason: Instruction limit
% 13.62/2.83  % (905600)Termination phase: Saturation
% 13.62/2.83  % (905600)Time elapsed: 0.064 s
% 13.62/2.83  % (905600)Peak memory usage: 88 MB
% 13.62/2.83  % (905600)Instructions burned: 120 (million)
% 13.62/2.83  % (905602)Instruction limit reached! 
% 13.62/2.83  % (905602)------------------------------
% 13.62/2.83  % (905602)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.62/2.83  % (905602)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.62/2.83  % (905602)CaDiCaL version: 2.1.3
% 13.62/2.83  % (905602)Termination reason: Instruction limit
% 13.62/2.83  % (905602)Termination phase: Saturation
% 13.62/2.83  % (905602)Time elapsed: 0.067 s
% 13.62/2.83  % (905602)Peak memory usage: 90 MB
% 13.62/2.83  % (905602)Instructions burned: 131 (million)
% 13.62/2.83  % (905601)Instruction limit reached! 
% 13.62/2.83  % (905601)------------------------------
% 13.62/2.83  % (905601)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.62/2.83  % (905601)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.62/2.83  % (905601)CaDiCaL version: 2.1.3
% 13.62/2.83  % (905601)Termination reason: Instruction limit
% 13.62/2.83  % (905601)Termination phase: Saturation
% 13.62/2.83  % (905601)Time elapsed: 0.088 s
% 13.62/2.83  % (905601)Peak memory usage: 90 MB
% 13.62/2.83  % (905601)Instructions burned: 139 (million)
% 13.62/2.83  % (905610)lrs+10_1_sil=8000:sp=occurrence:random_seed=1579369941:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 13.62/2.83  % (905611)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2574784851:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 13.62/2.83  % (905611)Refutation not found, incomplete strategy
% 13.62/2.83  % (905611)------------------------------
% 13.62/2.83  % (905611)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.62/2.83  % (905611)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.62/2.83  % (905611)CaDiCaL version: 2.1.3
% 13.62/2.83  % (905611)Termination reason: Refutation not found, incomplete strategy
% 13.62/2.83  % (905611)Time elapsed: 0.011 s
% 19.53/3.69  % (905611)Peak memory usage: 89 MB
% 19.53/3.69  % (905611)Instructions burned: 21 (million)
% 19.53/3.69  % (905612)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2322143865:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 19.53/3.69  % (905612)Refutation not found, incomplete strategy
% 19.53/3.69  % (905612)------------------------------
% 19.53/3.69  % (905612)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.53/3.69  % (905612)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.53/3.69  % (905612)CaDiCaL version: 2.1.3
% 19.53/3.69  % (905612)Termination reason: Refutation not found, incomplete strategy
% 19.53/3.69  % (905612)Time elapsed: 0.018 s
% 19.53/3.69  % (905612)Peak memory usage: 89 MB
% 19.53/3.69  % (905612)Instructions burned: 35 (million)
% 19.53/3.69  % (905599)------------------------------
% 19.53/3.69  % (905599)------------------------------
% 19.53/3.69  % (905610)Instruction limit reached! 
% 19.53/3.69  % (905610)------------------------------
% 19.53/3.69  % (905610)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.53/3.69  % (905610)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.53/3.69  % (905610)CaDiCaL version: 2.1.3
% 19.53/3.69  % (905610)Termination reason: Instruction limit
% 19.53/3.69  % (905610)Termination phase: Saturation
% 19.53/3.69  % (905610)Time elapsed: 0.149 s
% 19.53/3.69  % (905610)Peak memory usage: 92 MB
% 19.53/3.69  % (905610)Instructions burned: 286 (million)
% 19.53/3.69  % (905616)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=1145005302:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 19.53/3.69  % (905611)------------------------------
% 19.53/3.69  % (905611)------------------------------
% 19.53/3.69  % (905617)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1476076768:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 19.53/3.69  % (905612)------------------------------
% 19.53/3.69  % (905612)------------------------------
% 19.53/3.69  % (905616)Instruction limit reached! 
% 19.53/3.69  % (905616)------------------------------
% 19.53/3.69  % (905616)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.53/3.69  % (905616)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.53/3.69  % (905616)CaDiCaL version: 2.1.3
% 19.53/3.69  % (905616)Termination reason: Instruction limit
% 19.53/3.69  % (905616)Termination phase: Saturation
% 19.53/3.69  % (905616)Time elapsed: 0.115 s
% 19.53/3.69  % (905616)Peak memory usage: 93 MB
% 19.53/3.69  % (905616)Instructions burned: 249 (million)
% 19.53/3.69  % (905619)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3880266221:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 19.53/3.69  % (905617)Instruction limit reached! 
% 19.53/3.69  % (905617)------------------------------
% 19.53/3.69  % (905617)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.53/3.69  % (905617)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.53/3.69  % (905617)CaDiCaL version: 2.1.3
% 19.53/3.69  % (905617)Termination reason: Instruction limit
% 19.53/3.69  % (905617)Termination phase: Saturation
% 19.53/3.69  % (905617)Time elapsed: 0.144 s
% 19.53/3.69  % (905617)Peak memory usage: 89 MB
% 19.53/3.69  % (905617)Instructions burned: 294 (million)
% 19.53/3.69  % (905621)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=834165490:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 19.53/3.69  % (905622)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1254021727:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 19.53/3.69  % (905621)Instruction limit reached! 
% 19.53/3.69  % (905621)------------------------------
% 19.53/3.69  % (905621)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.53/3.69  % (905621)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.53/3.69  % (905621)CaDiCaL version: 2.1.3
% 19.53/3.69  % (905621)Termination reason: Instruction limit
% 19.53/3.69  % (905621)Termination phase: Saturation
% 19.53/3.69  % (905621)Time elapsed: 0.054 s
% 19.53/3.69  % (905621)Peak memory usage: 90 MB
% 19.53/3.69  % (905621)Instructions burned: 114 (million)
% 19.53/3.69  % (905622)Refutation not found, incomplete strategy
% 19.53/3.69  % (905622)------------------------------
% 19.53/3.69  % (905622)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.53/3.69  % (905622)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.71/5.65  % (905622)CaDiCaL version: 2.1.3
% 33.71/5.65  % (905622)Termination reason: Refutation not found, incomplete strategy
% 33.71/5.65  % (905622)Time elapsed: 0.032 s
% 33.71/5.65  % (905622)Peak memory usage: 89 MB
% 33.71/5.65  % (905622)Instructions burned: 68 (million)
% 33.71/5.65  % (905625)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=211643358:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 33.71/5.65  % (905625)Instruction limit reached! 
% 33.71/5.65  % (905625)------------------------------
% 33.71/5.65  % (905625)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.71/5.65  % (905625)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.71/5.65  % (905625)CaDiCaL version: 2.1.3
% 33.71/5.65  % (905625)Termination reason: Instruction limit
% 33.71/5.65  % (905625)Termination phase: Saturation
% 33.71/5.65  % (905625)Time elapsed: 0.051 s
% 33.71/5.65  % (905625)Peak memory usage: 88 MB
% 33.71/5.65  % (905625)Instructions burned: 114 (million)
% 33.71/5.65  % (905627)lrs+10_1_sil=8000:sp=occurrence:random_seed=228081518:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 33.71/5.65  % (905629)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3441899771:i=437:sd=1:aac=none:ss=included_2990 on theBenchmark for (2990ds/437Mi)
% 33.71/5.65  % (905622)------------------------------
% 33.71/5.65  % (905622)------------------------------
% 33.71/5.65  % (905629)Refutation not found, incomplete strategy
% 33.71/5.65  % (905629)------------------------------
% 33.71/5.65  % (905629)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.71/5.65  % (905629)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.71/5.65  % (905629)CaDiCaL version: 2.1.3
% 33.71/5.65  % (905629)Termination reason: Refutation not found, incomplete strategy
% 33.71/5.65  % (905629)Time elapsed: 0.020 s
% 33.71/5.65  % (905629)Peak memory usage: 90 MB
% 33.71/5.65  % (905629)Instructions burned: 40 (million)
% 33.71/5.65  % (905632)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1588971550:i=5202:ss=axioms:sgt=16_2989 on theBenchmark for (2989ds/5202Mi)
% 33.71/5.65  % (905629)------------------------------
% 33.71/5.65  % (905629)------------------------------
% 33.71/5.65  % (905627)Instruction limit reached! 
% 33.71/5.65  % (905627)------------------------------
% 33.71/5.65  % (905627)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.71/5.65  % (905627)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.71/5.65  % (905627)CaDiCaL version: 2.1.3
% 33.71/5.65  % (905627)Termination reason: Instruction limit
% 33.71/5.65  % (905627)Termination phase: Saturation
% 33.71/5.65  % (905627)Time elapsed: 0.471 s
% 33.71/5.65  % (905627)Peak memory usage: 97 MB
% 33.71/5.65  % (905627)Instructions burned: 908 (million)
% 33.71/5.65  % (905635)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=529254871:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2986 on theBenchmark for (2986ds/134Mi)
% 33.71/5.65  % (905635)Instruction limit reached! 
% 33.71/5.65  % (905635)------------------------------
% 33.71/5.65  % (905635)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.71/5.65  % (905635)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.71/5.65  % (905635)CaDiCaL version: 2.1.3
% 33.71/5.65  % (905635)Termination reason: Instruction limit
% 33.71/5.65  % (905635)Termination phase: Saturation
% 33.71/5.65  % (905635)Time elapsed: 0.065 s
% 33.71/5.65  % (905635)Peak memory usage: 93 MB
% 33.71/5.65  % (905635)Instructions burned: 135 (million)
% 33.71/5.65  % (905636)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=1380150683:st=8:i=592:sd=3:ep=RST:ss=axioms_2985 on theBenchmark for (2985ds/592Mi)
% 33.71/5.65  % (905638)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=4188611754:st=3:i=13193:sd=3:ss=axioms_2984 on theBenchmark for (2984ds/13193Mi)
% 33.71/5.65  % (905636)Instruction limit reached! 
% 33.71/5.65  % (905636)------------------------------
% 33.71/5.65  % (905636)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.71/5.65  % (905636)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.71/5.65  % (905636)CaDiCaL version: 2.1.3
% 33.71/5.65  % (905636)Termination reason: Instruction limit
% 33.71/5.65  % (905636)Termination phase: Saturation
% 33.71/5.65  % (905636)Time elapsed: 0.325 s
% 33.71/5.65  % (905636)Peak memory usage: 93 MB
% 33.71/5.65  % (905636)Instructions burned: 593 (million)
% 33.71/5.65  % (905641)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=3733420525:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2981 on theBenchmark for (2981ds/125Mi)
% 34.71/5.79  % (905641)Instruction limit reached! 
% 34.71/5.79  % (905641)------------------------------
% 34.71/5.79  % (905641)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.71/5.79  % (905641)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.71/5.79  % (905641)CaDiCaL version: 2.1.3
% 34.71/5.79  % (905641)Termination reason: Instruction limit
% 34.71/5.79  % (905641)Termination phase: Saturation
% 34.71/5.79  % (905641)Time elapsed: 0.060 s
% 34.71/5.79  % (905641)Peak memory usage: 92 MB
% 34.71/5.79  % (905641)Instructions burned: 125 (million)
% 34.71/5.79  % (905619)Instruction limit reached! 
% 34.71/5.79  % (905619)------------------------------
% 34.71/5.79  % (905619)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.71/5.79  % (905619)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.71/5.79  % (905619)CaDiCaL version: 2.1.3
% 34.71/5.79  % (905619)Termination reason: Instruction limit
% 34.71/5.79  % (905619)Termination phase: Saturation
% 34.71/5.79  % (905619)Time elapsed: 1.439 s
% 34.71/5.79  % (905619)Peak memory usage: 141 MB
% 34.71/5.79  % (905619)Instructions burned: 2351 (million)
% 34.71/5.79  % (905643)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=2931358046:i=134:gtgl=5:slsql=off:gtg=exists_sym_2979 on theBenchmark for (2979ds/134Mi)
% 34.71/5.79  % (905643)Instruction limit reached! 
% 34.71/5.79  % (905643)------------------------------
% 34.71/5.79  % (905643)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.71/5.79  % (905643)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.71/5.79  % (905643)CaDiCaL version: 2.1.3
% 34.71/5.79  % (905643)Termination reason: Instruction limit
% 34.71/5.79  % (905643)Termination phase: Saturation
% 34.71/5.79  % (905643)Time elapsed: 0.060 s
% 34.71/5.79  % (905643)Peak memory usage: 90 MB
% 34.71/5.79  % (905643)Instructions burned: 135 (million)
% 34.71/5.79  % (905645)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=1250926146:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2978 on theBenchmark for (2978ds/141Mi)
% 34.71/5.79  % (905645)Refutation not found, incomplete strategy
% 34.71/5.79  % (905645)------------------------------
% 34.71/5.79  % (905645)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.71/5.79  % (905645)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.71/5.79  % (905645)CaDiCaL version: 2.1.3
% 34.71/5.79  % (905645)Termination reason: Refutation not found, incomplete strategy
% 34.71/5.79  % (905645)Time elapsed: 0.005 s
% 34.71/5.79  % (905645)Peak memory usage: 89 MB
% 34.71/5.79  % (905645)Instructions burned: 9 (million)
% 34.71/5.79  % (905646)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=2920724673:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2977 on theBenchmark for (2977ds/431Mi)
% 34.71/5.79  % (905646)Refutation not found, incomplete strategy
% 34.71/5.79  % (905646)------------------------------
% 34.71/5.79  % (905646)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.71/5.79  % (905646)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.71/5.79  % (905646)CaDiCaL version: 2.1.3
% 34.71/5.79  % (905646)Termination reason: Refutation not found, incomplete strategy
% 34.71/5.79  % (905646)Time elapsed: 0.013 s
% 34.71/5.79  % (905646)Peak memory usage: 89 MB
% 34.71/5.79  % (905646)Instructions burned: 26 (million)
% 34.71/5.79  % (905645)------------------------------
% 34.71/5.79  % (905645)------------------------------
% 34.71/5.79  % (905646)------------------------------
% 34.71/5.79  % (905646)------------------------------
% 34.71/5.79  % (905649)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=1670047566:i=6060:aac=none:ins=25_2974 on theBenchmark for (2974ds/6060Mi)
% 34.71/5.79  % (905650)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=2357729667:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2973 on theBenchmark for (2973ds/150Mi)
% 34.71/5.79  % (905650)Instruction limit reached! 
% 34.71/5.79  % (905650)------------------------------
% 34.71/5.79  % (905650)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.71/5.79  % (905650)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.71/5.79  % (905650)CaDiCaL version: 2.1.3
% 34.71/5.79  % (905650)Termination reason: Instruction limit
% 34.71/5.79  % (905650)Termination phase: Saturation
% 34.71/5.79  % (905650)Time elapsed: 0.074 s
% 34.71/5.79  % (905650)Peak memory usage: 92 MB
% 34.71/5.79  % (905650)Instructions burned: 152 (million)
% 34.71/5.79  % (905653)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=992352370:i=14155:bd=all_2971 on theBenchmark for (2971ds/14155Mi)
% 34.71/5.79  % (905632)Instruction limit reached! 
% 34.71/5.79  % (905632)------------------------------
% 34.71/5.79  % (905632)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.71/5.79  % (905632)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.71/5.79  % (905632)CaDiCaL version: 2.1.3
% 34.71/5.79  % (905632)Termination reason: Instruction limit
% 34.71/5.79  % (905632)Termination phase: Saturation
% 34.71/5.79  % (905632)Time elapsed: 2.372 s
% 34.71/5.79  % (905632)Peak memory usage: 139 MB
% 34.71/5.79  % (905632)Instructions burned: 5204 (million)
% 34.71/5.79  % (905655)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=209594868:i=667:av=off:fsr=off_2964 on theBenchmark for (2964ds/667Mi)
% 34.71/5.79  % (905655)Refutation not found, incomplete strategy
% 34.71/5.79  % (905655)------------------------------
% 34.71/5.79  % (905655)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.71/5.79  % (905655)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.71/5.79  % (905655)CaDiCaL version: 2.1.3
% 34.71/5.79  % (905655)Termination reason: Refutation not found, incomplete strategy
% 34.71/5.79  % (905655)Time elapsed: 0.026 s
% 34.71/5.79  % (905655)Peak memory usage: 89 MB
% 34.71/5.79  % (905655)Instructions burned: 54 (million)
% 34.71/5.79  % (905655)------------------------------
% 34.71/5.79  % (905655)------------------------------
% 34.71/5.79  % (905657)ott-1011_3:1_anc=all_dependent:to=lpo:sil=8000:drc=ordering:sas=cadical:fdtod=off:sp=reverse_frequency:spb=goal_then_units:urr=full:lftc=20:newcnf=on:random_seed=186070905:s2a=on:i=185:s2at=1.8:fdi=4_2960 on theBenchmark for (2960ds/185Mi)
% 34.71/5.79  % (905657)Instruction limit reached! 
% 34.71/5.79  % (905657)------------------------------
% 34.71/5.79  % (905657)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.71/5.79  % (905657)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.71/5.79  % (905657)CaDiCaL version: 2.1.3
% 34.71/5.79  % (905657)Termination reason: Instruction limit
% 34.71/5.79  % (905657)Termination phase: Saturation
% 34.71/5.79  % (905657)Time elapsed: 0.093 s
% 34.71/5.79  % (905657)Peak memory usage: 93 MB
% 34.71/5.79  % (905657)Instructions burned: 185 (million)
% 34.71/5.79  % (905659)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=2734910055:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2957 on theBenchmark for (2957ds/193Mi)
% 34.71/5.79  % (905659)Instruction limit reached! 
% 34.71/5.79  % (905659)------------------------------
% 34.71/5.79  % (905659)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.71/5.79  % (905659)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.71/5.79  % (905659)CaDiCaL version: 2.1.3
% 34.71/5.79  % (905659)Termination reason: Instruction limit
% 34.71/5.79  % (905659)Termination phase: Saturation
% 34.71/5.79  % (905659)Time elapsed: 0.107 s
% 34.71/5.79  % (905659)Peak memory usage: 91 MB
% 34.71/5.79  % (905659)Instructions burned: 195 (million)
% 34.71/5.79  % (905661)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=3731515275:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2955 on theBenchmark for (2955ds/4850Mi)
% 34.71/5.79  % (905661)Refutation not found, incomplete strategy
% 34.71/5.79  % (905661)------------------------------
% 34.71/5.79  % (905661)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.71/5.79  % (905661)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.71/5.79  % (905661)CaDiCaL version: 2.1.3
% 34.71/5.79  % (905661)Termination reason: Refutation not found, incomplete strategy
% 34.71/5.79  % (905661)Time elapsed: 0.020 s
% 34.71/5.79  % (905661)Peak memory usage: 89 MB
% 34.71/5.79  % (905661)Instructions burned: 40 (million)
% 34.71/5.79  % (905653)First to succeed.
% 34.71/5.79  % (905653)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-905591"
% 34.71/5.79  % (905661)------------------------------
% 34.71/5.79  % (905661)------------------------------
% 34.71/5.79  % (905653)Refutation found. Thanks to Tanya!
% 34.71/5.79  % SZS status ContradictoryAxioms for theBenchmark
% 34.71/5.79  % SZS output start Proof for theBenchmark
% See solution above
% 35.35/5.88  % (905653)------------------------------
% 35.35/5.88  % (905653)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.35/5.88  % (905653)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.35/5.88  % (905653)CaDiCaL version: 2.1.3
% 35.35/5.88  % (905653)Termination reason: Refutation
% 35.35/5.88  % (905653)Time elapsed: 1.686 s
% 35.35/5.88  % (905653)Peak memory usage: 138 MB
% 35.35/5.88  % (905653)Instructions burned: 2995 (million)
% 35.35/5.88  % (905653)------------------------------
% 35.35/5.88  % (905653)------------------------------
% 35.35/5.88  % (905591)Success in time 4.943 s
% 35.35/5.88  % Vampire exiting
%------------------------------------------------------------------------------