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Vampire---5.0.1.CAX-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : GEO303+1 : TPTP v9.3.1. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n001.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 26.87s 4.45s
% Output   : Refutation 27.46s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   29
%            Number of leaves      :   27
% Syntax   : Number of formulae    :  276 (  55 unt;  15 def)
%            Number of atoms       : 1961 ( 524 equ)
%            Maximal formula atoms :   27 (   7 avg)
%            Number of connectives : 2958 (1273   ~;1524   |; 135   &)
%                                         (  20 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   40 (   9 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   20 (  18 usr;  15 prp; 0-3 aty)
%            Number of functors    :   19 (  19 usr;  16 con; 0-3 aty)
%            Number of variables   :  619 (   0 sgn 586   !;  33   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f41,axiom,
    ~ ron(vd1187,vd1197),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','neg(neg(270))') ).

fof(f42,axiom,
    ron(vd1186,vd1197),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(s2(plural(269)), 0)') ).

fof(f43,axiom,
    ron(vd1185,vd1197),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(s1(plural(269)), 0)') ).

fof(f44,axiom,
    rline(vd1197),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(269, 0)') ).

fof(f45,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/sandbox2/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(f49,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/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(188), 0), imp(cond(axiom(188), 0)))') ).

fof(f52,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/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(51), 0), imp(cond(axiom(51), 0)))') ).

fof(f56,axiom,
    ! [X0,X1] :
      ( ( ? [X2] :
            ( X1 = X2
            & rpoint(X2) )
        & ? [X3] :
            ( X0 = X3
            & rpoint(X3) ) )
     => ( vf(X0,X1) = v0
      <=> X0 = X1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(162), 0), imp(cond(axiom(162), 0)))') ).

fof(f59,axiom,
    ! [X0,X1] :
      ( ( ? [X2] :
            ( X1 = X2
            & rpoint(X2) )
        & ? [X3] :
            ( X0 = X3
            & rpoint(X3) ) )
     => vf(X0,X1) = vf(X1,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(166), 0), imp(cond(axiom(166), 0)))') ).

fof(f64,axiom,
    v0 = vd684,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(axiom(137), 2)') ).

fof(f68,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/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(81), 0), imp(cond(axiom(81), 0)))') ).

fof(f145,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/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(194), 0), imp(cond(axiom(194), 0)))') ).

fof(f233,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,[],[f45]) ).

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(ennf_transformation,[],[f49]) ).

fof(f241,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,[],[f240]) ).

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(ennf_transformation,[],[f52]) ).

fof(f247,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,[],[f246]) ).

fof(f254,plain,
    ! [X0,X1] :
      ( ( vf(X0,X1) = v0
      <=> X0 = X1 )
      | ! [X2] :
          ( X1 != X2
          | ~ rpoint(X2) )
      | ! [X3] :
          ( X0 != X3
          | ~ rpoint(X3) ) ),
    inference(ennf_transformation,[],[f56]) ).

fof(f255,plain,
    ! [X0,X1] :
      ( ( vf(X0,X1) = v0
      <=> X0 = X1 )
      | ! [X2] :
          ( X1 != X2
          | ~ rpoint(X2) )
      | ! [X3] :
          ( X0 != X3
          | ~ rpoint(X3) ) ),
    inference(flattening,[],[f254]) ).

fof(f260,plain,
    ! [X0,X1] :
      ( vf(X0,X1) = vf(X1,X0)
      | ! [X2] :
          ( X1 != X2
          | ~ rpoint(X2) )
      | ! [X3] :
          ( X0 != X3
          | ~ rpoint(X3) ) ),
    inference(ennf_transformation,[],[f59]) ).

fof(f261,plain,
    ! [X0,X1] :
      ( vf(X0,X1) = vf(X1,X0)
      | ! [X2] :
          ( X1 != X2
          | ~ rpoint(X2) )
      | ! [X3] :
          ( X0 != X3
          | ~ rpoint(X3) ) ),
    inference(flattening,[],[f260]) ).

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(ennf_transformation,[],[f68]) ).

fof(f275,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,[],[f274]) ).

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(ennf_transformation,[],[f145]) ).

fof(f423,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,[],[f422]) ).

fof(f440,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)],[f233]) ).

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(nnf_transformation,[],[f241]) ).

fof(f446,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,[],[f445]) ).

fof(f447,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,[],[f247]) ).

fof(f448,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))],[f447]) ).

fof(f449,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,[],[f255]) ).

fof(f552,plain,
    ~ ron(vd1187,vd1197),
    inference(cnf_transformation,[],[f41]) ).

fof(f553,plain,
    ron(vd1186,vd1197),
    inference(cnf_transformation,[],[f42]) ).

fof(f554,plain,
    ron(vd1185,vd1197),
    inference(cnf_transformation,[],[f43]) ).

fof(f555,plain,
    rline(vd1197),
    inference(cnf_transformation,[],[f44]) ).

fof(f556,plain,
    rpoint(sK6),
    inference(cnf_transformation,[],[f440]) ).

fof(f557,plain,
    vd1178 = sK6,
    inference(cnf_transformation,[],[f440]) ).

fof(f558,plain,
    rpoint(sK5),
    inference(cnf_transformation,[],[f440]) ).

fof(f559,plain,
    vd1179 = sK5,
    inference(cnf_transformation,[],[f440]) ).

fof(f562,plain,
    vd1178 != vd1179,
    inference(cnf_transformation,[],[f440]) ).

fof(f565,plain,
    rpoint(sK3),
    inference(cnf_transformation,[],[f440]) ).

fof(f566,plain,
    vd1185 = sK3,
    inference(cnf_transformation,[],[f440]) ).

fof(f567,plain,
    rpoint(sK2),
    inference(cnf_transformation,[],[f440]) ).

fof(f568,plain,
    vd1186 = sK2,
    inference(cnf_transformation,[],[f440]) ).

fof(f569,plain,
    rpoint(sK1),
    inference(cnf_transformation,[],[f440]) ).

fof(f570,plain,
    vd1187 = sK1,
    inference(cnf_transformation,[],[f440]) ).

fof(f571,plain,
    vf(vd1178,vd1179) = vf(vd1185,vd1186),
    inference(cnf_transformation,[],[f440]) ).

fof(f574,plain,
    ! [X0] :
      ( ~ ron(vd1187,X0)
      | ~ ron(vd1186,X0)
      | ~ ron(vd1185,X0)
      | ~ rline(X0) ),
    inference(cnf_transformation,[],[f440]) ).

fof(f593,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,[],[f446]) ).

fof(f594,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,[],[f446]) ).

fof(f598,plain,
    ! [X3,X0,X1,X4] :
      ( rline(sK10(X0,X1))
      | X0 = X1
      | X1 != X3
      | ~ rpoint(X3)
      | X0 != X4
      | ~ rpoint(X4) ),
    inference(cnf_transformation,[],[f448]) ).

fof(f599,plain,
    ! [X3,X0,X1,X4] :
      ( ron(X0,sK10(X0,X1))
      | X0 = X1
      | X1 != X3
      | ~ rpoint(X3)
      | X0 != X4
      | ~ rpoint(X4) ),
    inference(cnf_transformation,[],[f448]) ).

fof(f600,plain,
    ! [X3,X0,X1,X4] :
      ( ron(X1,sK10(X0,X1))
      | X0 = X1
      | X1 != X3
      | ~ rpoint(X3)
      | X0 != X4
      | ~ rpoint(X4) ),
    inference(cnf_transformation,[],[f448]) ).

fof(f604,plain,
    ! [X2,X3,X0,X1] :
      ( X0 = X1
      | vf(X0,X1) != v0
      | X1 != X2
      | ~ rpoint(X2)
      | X0 != X3
      | ~ rpoint(X3) ),
    inference(cnf_transformation,[],[f449]) ).

fof(f605,plain,
    ! [X2,X3,X0,X1] :
      ( vf(X0,X1) = v0
      | X0 != X1
      | X1 != X2
      | ~ rpoint(X2)
      | X0 != X3
      | ~ rpoint(X3) ),
    inference(cnf_transformation,[],[f449]) ).

fof(f608,plain,
    ! [X2,X3,X0,X1] :
      ( vf(X0,X1) = vf(X1,X0)
      | X1 != X2
      | ~ rpoint(X2)
      | X0 != X3
      | ~ rpoint(X3) ),
    inference(cnf_transformation,[],[f261]) ).

fof(f614,plain,
    v0 = vd684,
    inference(cnf_transformation,[],[f64]) ).

fof(f619,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,[],[f275]) ).

fof(f621,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,[],[f275]) ).

fof(f622,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,[],[f275]) ).

fof(f796,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,[],[f423]) ).

fof(f847,plain,
    ~ ron(sK1,vd1197),
    inference(definition_unfolding,[],[f552,f570]) ).

fof(f848,plain,
    ron(sK2,vd1197),
    inference(definition_unfolding,[],[f553,f568]) ).

fof(f849,plain,
    ron(sK3,vd1197),
    inference(definition_unfolding,[],[f554,f566]) ).

fof(f850,plain,
    ! [X0] :
      ( ~ ron(sK3,X0)
      | ~ ron(sK2,X0)
      | ~ ron(sK1,X0)
      | ~ rline(X0) ),
    inference(definition_unfolding,[],[f574,f570,f568,f566]) ).

fof(f853,plain,
    vf(sK6,sK5) = vf(sK3,sK2),
    inference(definition_unfolding,[],[f571,f557,f559,f566,f568]) ).

fof(f856,plain,
    sK5 != sK6,
    inference(definition_unfolding,[],[f562,f557,f559]) ).

fof(f858,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,[],[f594,f614]) ).

fof(f859,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,[],[f593,f614]) ).

fof(f860,plain,
    ! [X2,X3,X0,X1] :
      ( vf(X0,X1) = vd684
      | X0 != X1
      | X1 != X2
      | ~ rpoint(X2)
      | X0 != X3
      | ~ rpoint(X3) ),
    inference(definition_unfolding,[],[f605,f614]) ).

fof(f861,plain,
    ! [X2,X3,X0,X1] :
      ( X0 = X1
      | vf(X0,X1) != vd684
      | X1 != X2
      | ~ rpoint(X2)
      | X0 != X3
      | ~ rpoint(X3) ),
    inference(definition_unfolding,[],[f604,f614]) ).

fof(f1054,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,[],[f858]) ).

fof(f1055,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,[],[f1054]) ).

fof(f1056,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,[],[f1055]) ).

fof(f1057,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,[],[f1056]) ).

fof(f1058,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,[],[f859]) ).

fof(f1059,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,[],[f1058]) ).

fof(f1060,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,[],[f1059]) ).

fof(f1061,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,[],[f1060]) ).

fof(f1069,plain,
    ! [X3,X0,X4] :
      ( ron(X3,sK10(X0,X3))
      | X0 = X3
      | ~ rpoint(X3)
      | X0 != X4
      | ~ rpoint(X4) ),
    inference(equality_resolution,[],[f600]) ).

fof(f1070,plain,
    ! [X3,X4] :
      ( ron(X3,sK10(X4,X3))
      | X3 = X4
      | ~ rpoint(X3)
      | ~ rpoint(X4) ),
    inference(equality_resolution,[],[f1069]) ).

fof(f1071,plain,
    ! [X3,X0,X4] :
      ( ron(X0,sK10(X0,X3))
      | X0 = X3
      | ~ rpoint(X3)
      | X0 != X4
      | ~ rpoint(X4) ),
    inference(equality_resolution,[],[f599]) ).

fof(f1072,plain,
    ! [X3,X4] :
      ( ron(X4,sK10(X4,X3))
      | X3 = X4
      | ~ rpoint(X3)
      | ~ rpoint(X4) ),
    inference(equality_resolution,[],[f1071]) ).

fof(f1073,plain,
    ! [X3,X0,X4] :
      ( rline(sK10(X0,X3))
      | X0 = X3
      | ~ rpoint(X3)
      | X0 != X4
      | ~ rpoint(X4) ),
    inference(equality_resolution,[],[f598]) ).

fof(f1074,plain,
    ! [X3,X4] :
      ( rline(sK10(X4,X3))
      | X3 = X4
      | ~ rpoint(X3)
      | ~ rpoint(X4) ),
    inference(equality_resolution,[],[f1073]) ).

fof(f1087,plain,
    ! [X2,X3,X1] :
      ( vd684 = vf(X1,X1)
      | X1 != X2
      | ~ rpoint(X2)
      | X1 != X3
      | ~ rpoint(X3) ),
    inference(equality_resolution,[],[f860]) ).

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

fof(f1089,plain,
    ! [X3] :
      ( vd684 = vf(X3,X3)
      | ~ rpoint(X3)
      | ~ rpoint(X3) ),
    inference(equality_resolution,[],[f1088]) ).

fof(f1090,plain,
    ! [X2,X3,X0] :
      ( X0 = X2
      | vf(X0,X2) != vd684
      | ~ rpoint(X2)
      | X0 != X3
      | ~ rpoint(X3) ),
    inference(equality_resolution,[],[f861]) ).

fof(f1091,plain,
    ! [X2,X3] :
      ( vd684 != vf(X3,X2)
      | X2 = X3
      | ~ rpoint(X2)
      | ~ rpoint(X3) ),
    inference(equality_resolution,[],[f1090]) ).

fof(f1100,plain,
    ! [X2,X3,X0] :
      ( vf(X0,X2) = vf(X2,X0)
      | ~ rpoint(X2)
      | X0 != X3
      | ~ rpoint(X3) ),
    inference(equality_resolution,[],[f608]) ).

fof(f1101,plain,
    ! [X2,X3] :
      ( vf(X3,X2) = vf(X2,X3)
      | ~ rpoint(X2)
      | ~ rpoint(X3) ),
    inference(equality_resolution,[],[f1100]) ).

fof(f1125,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,[],[f622]) ).

fof(f1126,plain,
    ! [X3,X0,X4,X5] :
      ( ~ rR(X0,X4,X3)
      | ~ rR(X4,X0,X3)
      | ~ rpoint(X3)
      | ~ rpoint(X4)
      | X0 != X5
      | ~ rpoint(X5) ),
    inference(equality_resolution,[],[f1125]) ).

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

fof(f1128,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,[],[f621]) ).

fof(f1129,plain,
    ! [X3,X1,X4,X5] :
      ( ~ rR(X1,X3,X3)
      | ~ rpoint(X3)
      | X1 != X4
      | ~ rpoint(X4)
      | X3 != X5
      | ~ rpoint(X5) ),
    inference(equality_resolution,[],[f1128]) ).

fof(f1130,plain,
    ! [X3,X4,X5] :
      ( ~ rR(X4,X3,X3)
      | ~ rpoint(X3)
      | ~ rpoint(X4)
      | X3 != X5
      | ~ rpoint(X5) ),
    inference(equality_resolution,[],[f1129]) ).

fof(f1131,plain,
    ! [X4,X5] :
      ( ~ rR(X4,X5,X5)
      | ~ rpoint(X5)
      | ~ rpoint(X4)
      | ~ rpoint(X5) ),
    inference(equality_resolution,[],[f1130]) ).

fof(f1136,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,[],[f619]) ).

fof(f1137,plain,
    ! [X3,X0,X4,X5] :
      ( rR(X4,X3,X0)
      | ~ rR(X4,X0,X3)
      | ~ rpoint(X3)
      | ~ rpoint(X4)
      | X0 != X5
      | ~ rpoint(X5) ),
    inference(equality_resolution,[],[f1136]) ).

fof(f1138,plain,
    ! [X3,X4,X5] :
      ( ~ rR(X4,X5,X3)
      | rR(X4,X3,X5)
      | ~ rpoint(X3)
      | ~ rpoint(X4)
      | ~ rpoint(X5) ),
    inference(equality_resolution,[],[f1137]) ).

fof(f1653,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,[],[f796]) ).

fof(f1654,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,[],[f1653]) ).

fof(f1655,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,[],[f1654]) ).

fof(f1656,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,[],[f1655]) ).

fof(f1657,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,[],[f1656]) ).

fof(f1658,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,[],[f1657]) ).

fof(f1659,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,[],[f1658]) ).

fof(f1708,definition,
    sF52 = vangle(sK3,sK1,sK2),
    introduced(definition,[new_symbols(definition,[sF52])],[function_definition]) ).

fof(f1709,plain,
    vangle(sK3,sK1,sK2) = sF52,
    inference(reorient_equations,[],[f1708]) ).

fof(f1714,plain,
    ! [X4,X5] :
      ( ~ rR(X4,X5,X5)
      | ~ rpoint(X5)
      | ~ rpoint(X4) ),
    inference(duplicate_literal_removal,[],[f1131]) ).

fof(f1715,plain,
    ! [X3] :
      ( vd684 = vf(X3,X3)
      | ~ rpoint(X3) ),
    inference(duplicate_literal_removal,[],[f1089]) ).

fof(f1945,plain,
    vd684 != vf(sK6,sK5),
    inference(unit_resulting_resolution,[],[f1091,f556,f558,f856]) ).

fof(f1953,plain,
    vd684 != vf(sK3,sK2),
    inference(forward_demodulation,[],[f1945,f853]) ).

fof(f1965,plain,
    vf(sK3,sK2) = vf(sK2,sK3),
    inference(unit_resulting_resolution,[],[f1101,f565,f567]) ).

fof(f2046,plain,
    vd684 != vf(sK2,sK3),
    inference(backward_demodulation,[],[f1953,f1965]) ).

fof(f2206,definition,
    ( spl54_13
  <=> sK1 = sK3 ),
    introduced(definition,[new_symbols(definition,[spl54_13])],[avatar_definition]) ).

fof(f2207,plain,
    ( sK1 != sK3
    | spl54_13 ),
    inference(avatar_component_clause,[],[f2206]) ).

fof(f2208,plain,
    ( sK1 = sK3
    | ~ spl54_13 ),
    inference(avatar_component_clause,[],[f2206]) ).

fof(f2210,definition,
    ( spl54_14
  <=> sK2 = sK3 ),
    introduced(definition,[new_symbols(definition,[spl54_14])],[avatar_definition]) ).

fof(f2211,plain,
    ( sK2 != sK3
    | spl54_14 ),
    inference(avatar_component_clause,[],[f2210]) ).

fof(f2212,plain,
    ( sK2 = sK3
    | ~ spl54_14 ),
    inference(avatar_component_clause,[],[f2210]) ).

fof(f2219,definition,
    ( spl54_16
  <=> sK1 = sK2 ),
    introduced(definition,[new_symbols(definition,[spl54_16])],[avatar_definition]) ).

fof(f2220,plain,
    ( sK1 != sK2
    | spl54_16 ),
    inference(avatar_component_clause,[],[f2219]) ).

fof(f2221,plain,
    ( sK1 = sK2
    | ~ spl54_16 ),
    inference(avatar_component_clause,[],[f2219]) ).

fof(f2238,plain,
    ( vd684 != vf(sK2,sK2)
    | ~ spl54_14 ),
    inference(backward_demodulation,[],[f2046,f2212]) ).

fof(f2250,plain,
    vd684 = vf(sK2,sK2),
    inference(unit_resulting_resolution,[],[f1715,f567]) ).

fof(f2254,plain,
    ( $false
    | ~ spl54_14 ),
    inference(forward_subsumption_resolution,[],[f2250,f2238]) ).

fof(f2255,plain,
    ~ spl54_14,
    inference(avatar_contradiction_clause,[],[f2254]) ).

fof(f2313,plain,
    ! [X2,X3,X0,X1] :
      ( sF52 = vangle(X0,sK1,X1)
      | rR(sK1,sK2,X1)
      | rR(sK1,sK3,X0)
      | sK1 = X1
      | sK1 = X0
      | sK1 = sK2
      | sK1 = sK3
      | ~ ron(X1,X2)
      | ~ ron(sK2,X2)
      | ~ ron(X0,X3)
      | ~ ron(sK3,X3)
      | ~ ron(sK1,X3)
      | ~ rline(X2)
      | ~ rline(X3)
      | ~ rpoint(X1)
      | ~ rpoint(X0)
      | ~ rpoint(sK2)
      | ~ rpoint(sK3)
      | ~ rpoint(sK1) ),
    inference(superposition,[],[f1659,f1709]) ).

fof(f2416,plain,
    ! [X2,X3,X0,X1] :
      ( sF52 = vangle(X0,sK1,X1)
      | rR(sK1,sK2,X1)
      | rR(sK1,sK3,X0)
      | sK1 = X1
      | sK1 = X0
      | sK1 = sK2
      | sK1 = sK3
      | ~ ron(X1,X2)
      | ~ ron(sK2,X2)
      | ~ ron(X0,X3)
      | ~ ron(sK3,X3)
      | ~ ron(sK1,X3)
      | ~ rline(X2)
      | ~ rline(X3)
      | ~ rpoint(X1)
      | ~ rpoint(X0)
      | ~ rpoint(sK3)
      | ~ rpoint(sK1) ),
    inference(forward_subsumption_resolution,[],[f2313,f567]) ).

fof(f2450,plain,
    ! [X2,X3,X0,X1] :
      ( sF52 = vangle(X0,sK1,X1)
      | rR(sK1,sK2,X1)
      | rR(sK1,sK3,X0)
      | sK1 = X1
      | sK1 = X0
      | sK1 = sK2
      | sK1 = sK3
      | ~ ron(X1,X2)
      | ~ ron(sK2,X2)
      | ~ ron(X0,X3)
      | ~ ron(sK3,X3)
      | ~ ron(sK1,X3)
      | ~ rline(X2)
      | ~ rline(X3)
      | ~ rpoint(X1)
      | ~ rpoint(X0)
      | ~ rpoint(sK1) ),
    inference(forward_subsumption_resolution,[],[f2416,f565]) ).

fof(f2484,plain,
    ! [X2,X3,X0,X1] :
      ( sF52 = vangle(X0,sK1,X1)
      | rR(sK1,sK2,X1)
      | rR(sK1,sK3,X0)
      | sK1 = X1
      | sK1 = X0
      | sK1 = sK2
      | sK1 = sK3
      | ~ ron(X1,X2)
      | ~ ron(sK2,X2)
      | ~ ron(X0,X3)
      | ~ ron(sK3,X3)
      | ~ ron(sK1,X3)
      | ~ rline(X2)
      | ~ rline(X3)
      | ~ rpoint(X1)
      | ~ rpoint(X0) ),
    inference(forward_subsumption_resolution,[],[f2450,f569]) ).

fof(f2505,definition,
    ( spl54_17
  <=> ! [X0,X3,X2,X1] :
        ( sF52 = vangle(X0,sK1,X1)
        | ~ rpoint(X0)
        | ~ rpoint(X1)
        | ~ rline(X3)
        | ~ rline(X2)
        | ~ ron(sK1,X3)
        | ~ ron(sK3,X3)
        | ~ ron(X0,X3)
        | ~ ron(sK2,X2)
        | ~ ron(X1,X2)
        | sK1 = X0
        | sK1 = X1
        | rR(sK1,sK3,X0)
        | rR(sK1,sK2,X1) ) ),
    introduced(definition,[new_symbols(definition,[spl54_17])],[avatar_definition]) ).

fof(f2506,plain,
    ( ! [X2,X3,X0,X1] :
        ( sF52 = vangle(X0,sK1,X1)
        | ~ rpoint(X0)
        | ~ rpoint(X1)
        | ~ rline(X3)
        | ~ rline(X2)
        | ~ ron(sK1,X3)
        | ~ ron(sK3,X3)
        | ~ ron(X0,X3)
        | ~ ron(sK2,X2)
        | ~ ron(X1,X2)
        | sK1 = X0
        | sK1 = X1
        | rR(sK1,sK3,X0)
        | rR(sK1,sK2,X1) )
    | ~ spl54_17 ),
    inference(avatar_component_clause,[],[f2505]) ).

fof(f2528,plain,
    ( spl54_13
    | spl54_16
    | spl54_17 ),
    inference(avatar_split_clause,[],[f2484,f2505,f2219,f2206]) ).

fof(f2609,plain,
    ( ron(sK1,vd1197)
    | ~ spl54_13 ),
    inference(backward_demodulation,[],[f849,f2208]) ).

fof(f2652,plain,
    ( $false
    | ~ spl54_13 ),
    inference(forward_subsumption_resolution,[],[f2609,f847]) ).

fof(f2653,plain,
    ~ spl54_13,
    inference(avatar_contradiction_clause,[],[f2652]) ).

fof(f2663,plain,
    ( ron(sK1,vd1197)
    | ~ spl54_16 ),
    inference(backward_demodulation,[],[f848,f2221]) ).

fof(f2697,plain,
    ( $false
    | ~ spl54_16 ),
    inference(forward_subsumption_resolution,[],[f2663,f847]) ).

fof(f2698,plain,
    ~ spl54_16,
    inference(avatar_contradiction_clause,[],[f2697]) ).

fof(f2851,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( vd684 = sF52
        | ~ rpoint(X0)
        | ~ rpoint(X1)
        | ~ rline(X2)
        | ~ rline(X3)
        | ~ ron(sK1,X2)
        | ~ ron(sK3,X2)
        | ~ ron(X0,X2)
        | ~ ron(sK2,X3)
        | ~ ron(X1,X3)
        | sK1 = X0
        | sK1 = X1
        | rR(sK1,sK3,X0)
        | rR(sK1,sK2,X1)
        | rR(sK1,X0,X1)
        | ~ ron(X1,X4)
        | ~ ron(X0,X4)
        | ~ ron(sK1,X4)
        | sK1 = X1
        | sK1 = X0
        | ~ rline(X4)
        | ~ rpoint(X1)
        | ~ rpoint(X0)
        | ~ rpoint(sK1) )
    | ~ spl54_17 ),
    inference(superposition,[],[f2506,f1061]) ).

fof(f2870,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( vd684 = sF52
        | ~ rpoint(X0)
        | ~ rpoint(X1)
        | ~ rline(X2)
        | ~ rline(X3)
        | ~ ron(sK1,X2)
        | ~ ron(sK3,X2)
        | ~ ron(X0,X2)
        | ~ ron(sK2,X3)
        | ~ ron(X1,X3)
        | sK1 = X0
        | sK1 = X1
        | rR(sK1,sK3,X0)
        | rR(sK1,sK2,X1)
        | rR(sK1,X0,X1)
        | ~ ron(X1,X4)
        | ~ ron(X0,X4)
        | ~ ron(sK1,X4)
        | ~ rline(X4)
        | ~ rpoint(sK1) )
    | ~ spl54_17 ),
    inference(duplicate_literal_removal,[],[f2851]) ).

fof(f2880,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( vd684 = sF52
        | ~ rpoint(X0)
        | ~ rpoint(X1)
        | ~ rline(X2)
        | ~ rline(X3)
        | ~ ron(sK1,X2)
        | ~ ron(sK3,X2)
        | ~ ron(X0,X2)
        | ~ ron(sK2,X3)
        | ~ ron(X1,X3)
        | sK1 = X0
        | sK1 = X1
        | rR(sK1,sK3,X0)
        | rR(sK1,sK2,X1)
        | rR(sK1,X0,X1)
        | ~ ron(X1,X4)
        | ~ ron(X0,X4)
        | ~ ron(sK1,X4)
        | ~ rline(X4) )
    | ~ spl54_17 ),
    inference(forward_subsumption_resolution,[],[f2870,f569]) ).

fof(f2882,definition,
    ( spl54_29
  <=> ! [X2,X4,X0,X3,X1] :
        ( rR(sK1,X0,X1)
        | rR(sK1,sK2,X1)
        | rR(sK1,sK3,X0)
        | ~ ron(X1,X4)
        | ~ ron(X0,X3)
        | ~ rline(X4)
        | ~ ron(sK2,X4)
        | ~ rline(X3)
        | ~ ron(sK3,X3)
        | ~ ron(sK1,X3)
        | ~ rpoint(X0)
        | ~ rpoint(X1)
        | ~ rline(X2)
        | sK1 = X0
        | sK1 = X1
        | ~ ron(sK1,X2)
        | ~ ron(X0,X2)
        | ~ ron(X1,X2) ) ),
    introduced(definition,[new_symbols(definition,[spl54_29])],[avatar_definition]) ).

fof(f2883,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( rR(sK1,sK3,X0)
        | rR(sK1,sK2,X1)
        | rR(sK1,X0,X1)
        | ~ ron(X1,X4)
        | ~ ron(X0,X3)
        | ~ rline(X4)
        | ~ ron(sK2,X4)
        | ~ rline(X3)
        | ~ ron(sK3,X3)
        | ~ ron(sK1,X3)
        | ~ rpoint(X0)
        | ~ rpoint(X1)
        | ~ rline(X2)
        | sK1 = X0
        | sK1 = X1
        | ~ ron(sK1,X2)
        | ~ ron(X0,X2)
        | ~ ron(X1,X2) )
    | ~ spl54_29 ),
    inference(avatar_component_clause,[],[f2882]) ).

fof(f2885,definition,
    ( spl54_30
  <=> vd684 = sF52 ),
    introduced(definition,[new_symbols(definition,[spl54_30])],[avatar_definition]) ).

fof(f2887,plain,
    ( vd684 = sF52
    | ~ spl54_30 ),
    inference(avatar_component_clause,[],[f2885]) ).

fof(f2889,plain,
    ( spl54_29
    | spl54_30
    | ~ spl54_17 ),
    inference(avatar_split_clause,[],[f2880,f2505,f2885,f2882]) ).

fof(f2925,plain,
    ( vd684 = vangle(sK3,sK1,sK2)
    | ~ spl54_30 ),
    inference(backward_demodulation,[],[f1709,f2887]) ).

fof(f3035,plain,
    ~ rR(sK1,sK3,sK3),
    inference(unit_resulting_resolution,[],[f1714,f569,f565]) ).

fof(f3126,plain,
    ( ! [X2,X0,X1] :
        ( rR(sK1,sK3,sK3)
        | rR(sK1,sK2,sK3)
        | ~ ron(sK3,X0)
        | ~ ron(sK3,X1)
        | ~ rline(X0)
        | ~ ron(sK2,X0)
        | ~ rline(X1)
        | ~ ron(sK3,X1)
        | ~ ron(sK1,X1)
        | ~ rpoint(sK3)
        | ~ rpoint(sK3)
        | ~ rline(X2)
        | sK1 = sK3
        | sK1 = sK3
        | ~ ron(sK1,X2)
        | ~ ron(sK3,X2)
        | ~ ron(sK3,X2) )
    | ~ spl54_29 ),
    inference(factoring,[],[f2883]) ).

fof(f3127,plain,
    ( ! [X2,X0,X1] :
        ( rR(sK1,sK3,sK3)
        | rR(sK1,sK2,sK3)
        | ~ ron(sK3,X0)
        | ~ ron(sK3,X1)
        | ~ rline(X0)
        | ~ ron(sK2,X0)
        | ~ rline(X1)
        | ~ ron(sK1,X1)
        | ~ rpoint(sK3)
        | ~ rline(X2)
        | sK1 = sK3
        | ~ ron(sK1,X2)
        | ~ ron(sK3,X2) )
    | ~ spl54_29 ),
    inference(duplicate_literal_removal,[],[f3126]) ).

fof(f3132,plain,
    ( ! [X2,X0,X1] :
        ( rR(sK1,sK2,sK3)
        | ~ ron(sK3,X0)
        | ~ ron(sK3,X1)
        | ~ rline(X0)
        | ~ ron(sK2,X0)
        | ~ rline(X1)
        | ~ ron(sK1,X1)
        | ~ rpoint(sK3)
        | ~ rline(X2)
        | sK1 = sK3
        | ~ ron(sK1,X2)
        | ~ ron(sK3,X2) )
    | ~ spl54_29 ),
    inference(forward_subsumption_resolution,[],[f3127,f3035]) ).

fof(f3137,plain,
    ( ! [X2,X0,X1] :
        ( rR(sK1,sK2,sK3)
        | ~ ron(sK3,X0)
        | ~ ron(sK3,X1)
        | ~ rline(X0)
        | ~ ron(sK2,X0)
        | ~ rline(X1)
        | ~ ron(sK1,X1)
        | ~ rline(X2)
        | sK1 = sK3
        | ~ ron(sK1,X2)
        | ~ ron(sK3,X2) )
    | ~ spl54_29 ),
    inference(forward_subsumption_resolution,[],[f3132,f565]) ).

fof(f3142,plain,
    ( ! [X2,X0,X1] :
        ( rR(sK1,sK2,sK3)
        | ~ ron(sK3,X0)
        | ~ ron(sK3,X1)
        | ~ rline(X0)
        | ~ ron(sK2,X0)
        | ~ rline(X1)
        | ~ ron(sK1,X1)
        | ~ rline(X2)
        | ~ ron(sK1,X2)
        | ~ ron(sK3,X2) )
    | spl54_13
    | ~ spl54_29 ),
    inference(forward_subsumption_resolution,[],[f3137,f2207]) ).

fof(f3145,definition,
    ( spl54_32
  <=> ! [X2] :
        ( ~ rline(X2)
        | ~ ron(sK3,X2)
        | ~ ron(sK1,X2) ) ),
    introduced(definition,[new_symbols(definition,[spl54_32])],[avatar_definition]) ).

fof(f3146,plain,
    ( ! [X2] :
        ( ~ ron(sK3,X2)
        | ~ rline(X2)
        | ~ ron(sK1,X2) )
    | ~ spl54_32 ),
    inference(avatar_component_clause,[],[f3145]) ).

fof(f3148,definition,
    ( spl54_33
  <=> ! [X0] :
        ( ~ ron(sK3,X0)
        | ~ ron(sK2,X0)
        | ~ rline(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl54_33])],[avatar_definition]) ).

fof(f3149,plain,
    ( ! [X0] :
        ( ~ ron(sK3,X0)
        | ~ ron(sK2,X0)
        | ~ rline(X0) )
    | ~ spl54_33 ),
    inference(avatar_component_clause,[],[f3148]) ).

fof(f3151,definition,
    ( spl54_34
  <=> rR(sK1,sK2,sK3) ),
    introduced(definition,[new_symbols(definition,[spl54_34])],[avatar_definition]) ).

fof(f3154,plain,
    ( spl54_32
    | spl54_32
    | spl54_33
    | spl54_34
    | spl54_13
    | ~ spl54_29 ),
    inference(avatar_split_clause,[],[f3142,f2882,f2206,f3151,f3148,f3145,f3145]) ).

fof(f3257,definition,
    ( spl54_38
  <=> vd684 = vangle(sK1,sK3,sK2) ),
    introduced(definition,[new_symbols(definition,[spl54_38])],[avatar_definition]) ).

fof(f3258,plain,
    ( vd684 = vangle(sK1,sK3,sK2)
    | ~ spl54_38 ),
    inference(avatar_component_clause,[],[f3257]) ).

fof(f3259,plain,
    ( vd684 != vangle(sK1,sK3,sK2)
    | spl54_38 ),
    inference(avatar_component_clause,[],[f3257]) ).

fof(f3262,definition,
    ( spl54_39
  <=> rR(sK1,sK3,sK2) ),
    introduced(definition,[new_symbols(definition,[spl54_39])],[avatar_definition]) ).

fof(f3263,plain,
    ( rR(sK1,sK3,sK2)
    | ~ spl54_39 ),
    inference(avatar_component_clause,[],[f3262]) ).

fof(f3264,plain,
    ( ~ rR(sK1,sK3,sK2)
    | spl54_39 ),
    inference(avatar_component_clause,[],[f3262]) ).

fof(f3266,plain,
    ( ~ rR(sK1,sK2,sK3)
    | spl54_39 ),
    inference(unit_resulting_resolution,[],[f1138,f567,f569,f565,f3264]) ).

fof(f3268,plain,
    ( ~ spl54_34
    | spl54_39 ),
    inference(avatar_split_clause,[],[f3266,f3262,f3151]) ).

fof(f3399,definition,
    ( spl54_42
  <=> rR(sK3,sK1,sK2) ),
    introduced(definition,[new_symbols(definition,[spl54_42])],[avatar_definition]) ).

fof(f3400,plain,
    ( rR(sK3,sK1,sK2)
    | ~ spl54_42 ),
    inference(avatar_component_clause,[],[f3399]) ).

fof(f3401,plain,
    ( ~ rR(sK3,sK1,sK2)
    | spl54_42 ),
    inference(avatar_component_clause,[],[f3399]) ).

fof(f3617,plain,
    ( ! [X0] :
        ( vd684 != vd684
        | ron(sK2,X0)
        | ~ ron(sK1,X0)
        | ~ ron(sK3,X0)
        | sK2 = sK3
        | sK1 = sK3
        | ~ rline(X0)
        | ~ rpoint(sK2)
        | ~ rpoint(sK1)
        | ~ rpoint(sK3) )
    | ~ spl54_38 ),
    inference(superposition,[],[f1057,f3258]) ).

fof(f3619,plain,
    ( ! [X0] :
        ( vd684 != vd684
        | ron(sK2,X0)
        | ~ ron(sK3,X0)
        | ~ ron(sK1,X0)
        | sK1 = sK2
        | sK1 = sK3
        | ~ rline(X0)
        | ~ rpoint(sK2)
        | ~ rpoint(sK3)
        | ~ rpoint(sK1) )
    | ~ spl54_30 ),
    inference(superposition,[],[f1057,f2925]) ).

fof(f3627,plain,
    ( ! [X0] :
        ( ron(sK2,X0)
        | ~ ron(sK3,X0)
        | ~ ron(sK1,X0)
        | sK1 = sK2
        | sK1 = sK3
        | ~ rline(X0)
        | ~ rpoint(sK2)
        | ~ rpoint(sK3)
        | ~ rpoint(sK1) )
    | ~ spl54_30 ),
    inference(trivial_inequality_removal,[],[f3619]) ).

fof(f3629,plain,
    ( ! [X0] :
        ( ron(sK2,X0)
        | ~ ron(sK1,X0)
        | ~ ron(sK3,X0)
        | sK2 = sK3
        | sK1 = sK3
        | ~ rline(X0)
        | ~ rpoint(sK2)
        | ~ rpoint(sK1)
        | ~ rpoint(sK3) )
    | ~ spl54_38 ),
    inference(trivial_inequality_removal,[],[f3617]) ).

fof(f3650,plain,
    ( ! [X0] :
        ( ~ ron(sK3,X0)
        | ~ ron(sK1,X0)
        | sK1 = sK2
        | sK1 = sK3
        | ~ rline(X0)
        | ~ rpoint(sK2)
        | ~ rpoint(sK3)
        | ~ rpoint(sK1) )
    | ~ spl54_30 ),
    inference(forward_subsumption_resolution,[],[f3627,f850]) ).

fof(f3652,plain,
    ( ! [X0] :
        ( ~ ron(sK1,X0)
        | ~ ron(sK3,X0)
        | sK2 = sK3
        | sK1 = sK3
        | ~ rline(X0)
        | ~ rpoint(sK2)
        | ~ rpoint(sK1)
        | ~ rpoint(sK3) )
    | ~ spl54_38 ),
    inference(forward_subsumption_resolution,[],[f3629,f850]) ).

fof(f3682,plain,
    ( ! [X0] :
        ( ~ ron(sK3,X0)
        | ~ ron(sK1,X0)
        | sK1 = sK3
        | ~ rline(X0)
        | ~ rpoint(sK2)
        | ~ rpoint(sK3)
        | ~ rpoint(sK1) )
    | spl54_16
    | ~ spl54_30 ),
    inference(forward_subsumption_resolution,[],[f3650,f2220]) ).

fof(f3684,plain,
    ( ! [X0] :
        ( ~ ron(sK1,X0)
        | ~ ron(sK3,X0)
        | sK1 = sK3
        | ~ rline(X0)
        | ~ rpoint(sK2)
        | ~ rpoint(sK1)
        | ~ rpoint(sK3) )
    | spl54_14
    | ~ spl54_38 ),
    inference(forward_subsumption_resolution,[],[f3652,f2211]) ).

fof(f3689,plain,
    ( ! [X0] :
        ( ~ ron(sK3,X0)
        | ~ ron(sK1,X0)
        | ~ rline(X0)
        | ~ rpoint(sK2)
        | ~ rpoint(sK3)
        | ~ rpoint(sK1) )
    | spl54_13
    | spl54_16
    | ~ spl54_30 ),
    inference(forward_subsumption_resolution,[],[f3682,f2207]) ).

fof(f3691,plain,
    ( ! [X0] :
        ( ~ ron(sK1,X0)
        | ~ ron(sK3,X0)
        | ~ rline(X0)
        | ~ rpoint(sK2)
        | ~ rpoint(sK1)
        | ~ rpoint(sK3) )
    | spl54_13
    | spl54_14
    | ~ spl54_38 ),
    inference(forward_subsumption_resolution,[],[f3684,f2207]) ).

fof(f3695,plain,
    ( ! [X0] :
        ( ~ ron(sK3,X0)
        | ~ ron(sK1,X0)
        | ~ rline(X0)
        | ~ rpoint(sK3)
        | ~ rpoint(sK1) )
    | spl54_13
    | spl54_16
    | ~ spl54_30 ),
    inference(forward_subsumption_resolution,[],[f3689,f567]) ).

fof(f3697,plain,
    ( ! [X0] :
        ( ~ ron(sK1,X0)
        | ~ ron(sK3,X0)
        | ~ rline(X0)
        | ~ rpoint(sK1)
        | ~ rpoint(sK3) )
    | spl54_13
    | spl54_14
    | ~ spl54_38 ),
    inference(forward_subsumption_resolution,[],[f3691,f567]) ).

fof(f3701,plain,
    ( ! [X0] :
        ( ~ ron(sK3,X0)
        | ~ ron(sK1,X0)
        | ~ rline(X0)
        | ~ rpoint(sK1) )
    | spl54_13
    | spl54_16
    | ~ spl54_30 ),
    inference(forward_subsumption_resolution,[],[f3695,f565]) ).

fof(f3703,plain,
    ( ! [X0] :
        ( ~ ron(sK1,X0)
        | ~ ron(sK3,X0)
        | ~ rline(X0)
        | ~ rpoint(sK3) )
    | spl54_13
    | spl54_14
    | ~ spl54_38 ),
    inference(forward_subsumption_resolution,[],[f3697,f569]) ).

fof(f3707,plain,
    ( ! [X0] :
        ( ~ ron(sK3,X0)
        | ~ ron(sK1,X0)
        | ~ rline(X0) )
    | spl54_13
    | spl54_16
    | ~ spl54_30 ),
    inference(forward_subsumption_resolution,[],[f3701,f569]) ).

fof(f3709,plain,
    ( ! [X0] :
        ( ~ ron(sK1,X0)
        | ~ ron(sK3,X0)
        | ~ rline(X0) )
    | spl54_13
    | spl54_14
    | ~ spl54_38 ),
    inference(forward_subsumption_resolution,[],[f3703,f565]) ).

fof(f3712,plain,
    ( spl54_32
    | spl54_13
    | spl54_16
    | ~ spl54_30 ),
    inference(avatar_split_clause,[],[f3707,f2885,f2219,f2206,f3145]) ).

fof(f3714,plain,
    ( spl54_32
    | spl54_13
    | spl54_14
    | ~ spl54_38 ),
    inference(avatar_split_clause,[],[f3709,f3257,f2210,f2206,f3145]) ).

fof(f3775,definition,
    ( spl54_43
  <=> ! [X0] :
        ( ~ ron(sK2,X0)
        | ~ rline(X0)
        | ~ ron(sK1,X0) ) ),
    introduced(definition,[new_symbols(definition,[spl54_43])],[avatar_definition]) ).

fof(f3776,plain,
    ( ! [X0] :
        ( ~ ron(sK2,X0)
        | ~ rline(X0)
        | ~ ron(sK1,X0) )
    | ~ spl54_43 ),
    inference(avatar_component_clause,[],[f3775]) ).

fof(f3781,plain,
    ( ! [X2,X3,X0,X1] :
        ( vd684 != vangle(X0,sK3,X1)
        | rR(sK3,X1,sK2)
        | rR(sK3,X0,sK1)
        | sK2 = sK3
        | sK1 = sK3
        | sK3 = X1
        | sK3 = X0
        | ~ ron(sK2,X2)
        | ~ ron(X1,X2)
        | ~ ron(sK1,X3)
        | ~ ron(X0,X3)
        | ~ ron(sK3,X3)
        | ~ rline(X2)
        | ~ rline(X3)
        | ~ rpoint(sK2)
        | ~ rpoint(sK1)
        | ~ rpoint(X1)
        | ~ rpoint(X0)
        | ~ rpoint(sK3) )
    | spl54_38 ),
    inference(superposition,[],[f3259,f1659]) ).

fof(f3988,plain,
    ( ! [X0] :
        ( ~ rline(sK10(sK3,X0))
        | ~ ron(sK1,sK10(sK3,X0))
        | sK3 = X0
        | ~ rpoint(X0)
        | ~ rpoint(sK3) )
    | ~ spl54_32 ),
    inference(resolution,[],[f3146,f1072]) ).

fof(f3989,plain,
    ( ! [X0] :
        ( ~ ron(sK1,sK10(sK3,X0))
        | sK3 = X0
        | ~ rpoint(X0)
        | ~ rpoint(sK3) )
    | ~ spl54_32 ),
    inference(forward_subsumption_resolution,[],[f3988,f1074]) ).

fof(f3991,plain,
    ( ! [X0] :
        ( ~ ron(sK1,sK10(sK3,X0))
        | sK3 = X0
        | ~ rpoint(X0) )
    | ~ spl54_32 ),
    inference(forward_subsumption_resolution,[],[f3989,f565]) ).

fof(f3995,plain,
    ( sK1 = sK3
    | ~ rpoint(sK1)
    | sK1 = sK3
    | ~ rpoint(sK1)
    | ~ rpoint(sK3)
    | ~ spl54_32 ),
    inference(resolution,[],[f3991,f1070]) ).

fof(f3996,plain,
    ( sK1 = sK3
    | ~ rpoint(sK1)
    | ~ rpoint(sK3)
    | ~ spl54_32 ),
    inference(duplicate_literal_removal,[],[f3995]) ).

fof(f3997,plain,
    ( ~ rpoint(sK1)
    | ~ rpoint(sK3)
    | spl54_13
    | ~ spl54_32 ),
    inference(forward_subsumption_resolution,[],[f3996,f2207]) ).

fof(f4000,plain,
    ( ~ rpoint(sK3)
    | spl54_13
    | ~ spl54_32 ),
    inference(forward_subsumption_resolution,[],[f3997,f569]) ).

fof(f4001,plain,
    ( $false
    | spl54_13
    | ~ spl54_32 ),
    inference(forward_subsumption_resolution,[],[f4000,f565]) ).

fof(f4002,plain,
    ( spl54_13
    | ~ spl54_32 ),
    inference(avatar_contradiction_clause,[],[f4001]) ).

fof(f4003,plain,
    ( ! [X2,X3,X0,X1] :
        ( vd684 != vangle(X0,sK3,X1)
        | rR(sK3,X1,sK2)
        | rR(sK3,X0,sK1)
        | sK1 = sK3
        | sK3 = X1
        | sK3 = X0
        | ~ ron(sK2,X2)
        | ~ ron(X1,X2)
        | ~ ron(sK1,X3)
        | ~ ron(X0,X3)
        | ~ ron(sK3,X3)
        | ~ rline(X2)
        | ~ rline(X3)
        | ~ rpoint(sK2)
        | ~ rpoint(sK1)
        | ~ rpoint(X1)
        | ~ rpoint(X0)
        | ~ rpoint(sK3) )
    | spl54_14
    | spl54_38 ),
    inference(forward_subsumption_resolution,[],[f3781,f2211]) ).

fof(f4012,plain,
    ( ! [X2,X3,X0,X1] :
        ( vd684 != vangle(X0,sK3,X1)
        | rR(sK3,X1,sK2)
        | rR(sK3,X0,sK1)
        | sK3 = X1
        | sK3 = X0
        | ~ ron(sK2,X2)
        | ~ ron(X1,X2)
        | ~ ron(sK1,X3)
        | ~ ron(X0,X3)
        | ~ ron(sK3,X3)
        | ~ rline(X2)
        | ~ rline(X3)
        | ~ rpoint(sK2)
        | ~ rpoint(sK1)
        | ~ rpoint(X1)
        | ~ rpoint(X0)
        | ~ rpoint(sK3) )
    | spl54_13
    | spl54_14
    | spl54_38 ),
    inference(forward_subsumption_resolution,[],[f4003,f2207]) ).

fof(f4021,plain,
    ( ! [X2,X3,X0,X1] :
        ( vd684 != vangle(X0,sK3,X1)
        | rR(sK3,X1,sK2)
        | rR(sK3,X0,sK1)
        | sK3 = X1
        | sK3 = X0
        | ~ ron(sK2,X2)
        | ~ ron(X1,X2)
        | ~ ron(sK1,X3)
        | ~ ron(X0,X3)
        | ~ ron(sK3,X3)
        | ~ rline(X2)
        | ~ rline(X3)
        | ~ rpoint(sK1)
        | ~ rpoint(X1)
        | ~ rpoint(X0)
        | ~ rpoint(sK3) )
    | spl54_13
    | spl54_14
    | spl54_38 ),
    inference(forward_subsumption_resolution,[],[f4012,f567]) ).

fof(f4024,plain,
    ( ! [X2,X3,X0,X1] :
        ( vd684 != vangle(X0,sK3,X1)
        | rR(sK3,X1,sK2)
        | rR(sK3,X0,sK1)
        | sK3 = X1
        | sK3 = X0
        | ~ ron(sK2,X2)
        | ~ ron(X1,X2)
        | ~ ron(sK1,X3)
        | ~ ron(X0,X3)
        | ~ ron(sK3,X3)
        | ~ rline(X2)
        | ~ rline(X3)
        | ~ rpoint(X1)
        | ~ rpoint(X0)
        | ~ rpoint(sK3) )
    | spl54_13
    | spl54_14
    | spl54_38 ),
    inference(forward_subsumption_resolution,[],[f4021,f569]) ).

fof(f4030,plain,
    ( ! [X2,X3,X0,X1] :
        ( vd684 != vangle(X0,sK3,X1)
        | rR(sK3,X1,sK2)
        | rR(sK3,X0,sK1)
        | sK3 = X1
        | sK3 = X0
        | ~ ron(sK2,X2)
        | ~ ron(X1,X2)
        | ~ ron(sK1,X3)
        | ~ ron(X0,X3)
        | ~ ron(sK3,X3)
        | ~ rline(X2)
        | ~ rline(X3)
        | ~ rpoint(X1)
        | ~ rpoint(X0) )
    | spl54_13
    | spl54_14
    | spl54_38 ),
    inference(forward_subsumption_resolution,[],[f4024,f565]) ).

fof(f4122,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( vd684 != vd684
        | rR(sK3,X1,sK2)
        | rR(sK3,X0,sK1)
        | sK3 = X1
        | sK3 = X0
        | ~ ron(sK2,X2)
        | ~ ron(X1,X2)
        | ~ ron(sK1,X3)
        | ~ ron(X0,X3)
        | ~ ron(sK3,X3)
        | ~ rline(X2)
        | ~ rline(X3)
        | ~ rpoint(X1)
        | ~ rpoint(X0)
        | rR(sK3,X0,X1)
        | ~ ron(X1,X4)
        | ~ ron(X0,X4)
        | ~ ron(sK3,X4)
        | sK3 = X1
        | sK3 = X0
        | ~ rline(X4)
        | ~ rpoint(X1)
        | ~ rpoint(X0)
        | ~ rpoint(sK3) )
    | spl54_13
    | spl54_14
    | spl54_38 ),
    inference(superposition,[],[f4030,f1061]) ).

fof(f4131,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( vd684 != vd684
        | rR(sK3,X1,sK2)
        | rR(sK3,X0,sK1)
        | sK3 = X1
        | sK3 = X0
        | ~ ron(sK2,X2)
        | ~ ron(X1,X2)
        | ~ ron(sK1,X3)
        | ~ ron(X0,X3)
        | ~ ron(sK3,X3)
        | ~ rline(X2)
        | ~ rline(X3)
        | ~ rpoint(X1)
        | ~ rpoint(X0)
        | rR(sK3,X0,X1)
        | ~ ron(X1,X4)
        | ~ ron(X0,X4)
        | ~ ron(sK3,X4)
        | ~ rline(X4)
        | ~ rpoint(sK3) )
    | spl54_13
    | spl54_14
    | spl54_38 ),
    inference(duplicate_literal_removal,[],[f4122]) ).

fof(f4132,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( rR(sK3,X1,sK2)
        | rR(sK3,X0,sK1)
        | sK3 = X1
        | sK3 = X0
        | ~ ron(sK2,X2)
        | ~ ron(X1,X2)
        | ~ ron(sK1,X3)
        | ~ ron(X0,X3)
        | ~ ron(sK3,X3)
        | ~ rline(X2)
        | ~ rline(X3)
        | ~ rpoint(X1)
        | ~ rpoint(X0)
        | rR(sK3,X0,X1)
        | ~ ron(X1,X4)
        | ~ ron(X0,X4)
        | ~ ron(sK3,X4)
        | ~ rline(X4)
        | ~ rpoint(sK3) )
    | spl54_13
    | spl54_14
    | spl54_38 ),
    inference(trivial_inequality_removal,[],[f4131]) ).

fof(f4137,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( rR(sK3,X1,sK2)
        | rR(sK3,X0,sK1)
        | sK3 = X1
        | sK3 = X0
        | ~ ron(sK2,X2)
        | ~ ron(X1,X2)
        | ~ ron(sK1,X3)
        | ~ ron(X0,X3)
        | ~ ron(sK3,X3)
        | ~ rline(X2)
        | ~ rline(X3)
        | ~ rpoint(X1)
        | ~ rpoint(X0)
        | rR(sK3,X0,X1)
        | ~ ron(X1,X4)
        | ~ ron(X0,X4)
        | ~ ron(sK3,X4)
        | ~ rline(X4) )
    | spl54_13
    | spl54_14
    | spl54_38 ),
    inference(forward_subsumption_resolution,[],[f4132,f565]) ).

fof(f4138,plain,
    ( ! [X2,X3,X0,X1] :
        ( rR(sK3,X0,sK1)
        | sK1 = sK3
        | sK3 = X0
        | ~ ron(sK2,X1)
        | ~ ron(sK1,X1)
        | ~ ron(sK1,X2)
        | ~ ron(X0,X2)
        | ~ ron(sK3,X2)
        | ~ rline(X1)
        | ~ rline(X2)
        | ~ rpoint(sK1)
        | ~ rpoint(X0)
        | rR(sK3,X0,sK1)
        | ~ ron(sK1,X3)
        | ~ ron(X0,X3)
        | ~ ron(sK3,X3)
        | ~ rline(X3) )
    | spl54_13
    | spl54_14
    | spl54_38
    | spl54_42 ),
    inference(resolution,[],[f4137,f3401]) ).

fof(f4153,plain,
    ( ! [X2,X3,X0,X1] :
        ( rR(sK3,X0,sK1)
        | sK1 = sK3
        | sK3 = X0
        | ~ ron(sK2,X1)
        | ~ ron(sK1,X1)
        | ~ ron(sK1,X2)
        | ~ ron(X0,X2)
        | ~ ron(sK3,X2)
        | ~ rline(X1)
        | ~ rline(X2)
        | ~ rpoint(sK1)
        | ~ rpoint(X0)
        | ~ ron(sK1,X3)
        | ~ ron(X0,X3)
        | ~ ron(sK3,X3)
        | ~ rline(X3) )
    | spl54_13
    | spl54_14
    | spl54_38
    | spl54_42 ),
    inference(duplicate_literal_removal,[],[f4138]) ).

fof(f4158,plain,
    ( ! [X2,X3,X0,X1] :
        ( rR(sK3,X0,sK1)
        | sK3 = X0
        | ~ ron(sK2,X1)
        | ~ ron(sK1,X1)
        | ~ ron(sK1,X2)
        | ~ ron(X0,X2)
        | ~ ron(sK3,X2)
        | ~ rline(X1)
        | ~ rline(X2)
        | ~ rpoint(sK1)
        | ~ rpoint(X0)
        | ~ ron(sK1,X3)
        | ~ ron(X0,X3)
        | ~ ron(sK3,X3)
        | ~ rline(X3) )
    | spl54_13
    | spl54_14
    | spl54_38
    | spl54_42 ),
    inference(forward_subsumption_resolution,[],[f4153,f2207]) ).

fof(f4163,plain,
    ( ! [X2,X3,X0,X1] :
        ( rR(sK3,X0,sK1)
        | sK3 = X0
        | ~ ron(sK2,X1)
        | ~ ron(sK1,X1)
        | ~ ron(sK1,X2)
        | ~ ron(X0,X2)
        | ~ ron(sK3,X2)
        | ~ rline(X1)
        | ~ rline(X2)
        | ~ rpoint(X0)
        | ~ ron(sK1,X3)
        | ~ ron(X0,X3)
        | ~ ron(sK3,X3)
        | ~ rline(X3) )
    | spl54_13
    | spl54_14
    | spl54_38
    | spl54_42 ),
    inference(forward_subsumption_resolution,[],[f4158,f569]) ).

fof(f4165,definition,
    ( spl54_48
  <=> ! [X2,X0,X3] :
        ( rR(sK3,X0,sK1)
        | ~ rline(X3)
        | ~ ron(sK3,X3)
        | ~ ron(X0,X3)
        | ~ ron(sK1,X3)
        | ~ rpoint(X0)
        | ~ rline(X2)
        | ~ ron(sK3,X2)
        | ~ ron(X0,X2)
        | ~ ron(sK1,X2)
        | sK3 = X0 ) ),
    introduced(definition,[new_symbols(definition,[spl54_48])],[avatar_definition]) ).

fof(f4166,plain,
    ( ! [X2,X3,X0] :
        ( rR(sK3,X0,sK1)
        | ~ rline(X3)
        | ~ ron(sK3,X3)
        | ~ ron(X0,X3)
        | ~ ron(sK1,X3)
        | ~ rpoint(X0)
        | ~ rline(X2)
        | ~ ron(sK3,X2)
        | ~ ron(X0,X2)
        | ~ ron(sK1,X2)
        | sK3 = X0 )
    | ~ spl54_48 ),
    inference(avatar_component_clause,[],[f4165]) ).

fof(f4167,plain,
    ( spl54_43
    | spl54_48
    | spl54_13
    | spl54_14
    | spl54_38
    | spl54_42 ),
    inference(avatar_split_clause,[],[f4163,f3399,f3257,f2210,f2206,f4165,f3775]) ).

fof(f4173,plain,
    ( ! [X0,X1] :
        ( ~ rline(X0)
        | ~ ron(sK3,X0)
        | ~ ron(sK1,X0)
        | ~ ron(sK1,X0)
        | ~ rpoint(sK1)
        | ~ rline(X1)
        | ~ ron(sK3,X1)
        | ~ ron(sK1,X1)
        | ~ ron(sK1,X1)
        | sK1 = sK3
        | ~ rpoint(sK1)
        | ~ rpoint(sK3) )
    | ~ spl54_48 ),
    inference(resolution,[],[f4166,f1714]) ).

fof(f4176,plain,
    ( ! [X0,X1] :
        ( ~ rline(X0)
        | ~ ron(sK3,X0)
        | ~ ron(sK1,X0)
        | ~ rpoint(sK1)
        | ~ rline(X1)
        | ~ ron(sK3,X1)
        | ~ ron(sK1,X1)
        | sK1 = sK3
        | ~ rpoint(sK3) )
    | ~ spl54_48 ),
    inference(duplicate_literal_removal,[],[f4173]) ).

fof(f4181,plain,
    ( ! [X0,X1] :
        ( ~ rline(X0)
        | ~ ron(sK3,X0)
        | ~ ron(sK1,X0)
        | ~ rline(X1)
        | ~ ron(sK3,X1)
        | ~ ron(sK1,X1)
        | sK1 = sK3
        | ~ rpoint(sK3) )
    | ~ spl54_48 ),
    inference(forward_subsumption_resolution,[],[f4176,f569]) ).

fof(f4186,plain,
    ( ! [X0,X1] :
        ( ~ rline(X0)
        | ~ ron(sK3,X0)
        | ~ ron(sK1,X0)
        | ~ rline(X1)
        | ~ ron(sK3,X1)
        | ~ ron(sK1,X1)
        | ~ rpoint(sK3) )
    | spl54_13
    | ~ spl54_48 ),
    inference(forward_subsumption_resolution,[],[f4181,f2207]) ).

fof(f4191,plain,
    ( ! [X0,X1] :
        ( ~ rline(X0)
        | ~ ron(sK3,X0)
        | ~ ron(sK1,X0)
        | ~ rline(X1)
        | ~ ron(sK3,X1)
        | ~ ron(sK1,X1) )
    | spl54_13
    | ~ spl54_48 ),
    inference(forward_subsumption_resolution,[],[f4186,f565]) ).

fof(f4192,plain,
    ( spl54_32
    | spl54_32
    | spl54_13
    | ~ spl54_48 ),
    inference(avatar_split_clause,[],[f4191,f4165,f2206,f3145,f3145]) ).

fof(f4197,plain,
    ( ~ rR(sK1,sK3,sK2)
    | ~ rpoint(sK2)
    | ~ rpoint(sK1)
    | ~ rpoint(sK3)
    | ~ spl54_42 ),
    inference(resolution,[],[f3400,f1127]) ).

fof(f4431,plain,
    ( ~ ron(sK2,vd1197)
    | ~ rline(vd1197)
    | ~ spl54_33 ),
    inference(resolution,[],[f3149,f849]) ).

fof(f4437,plain,
    ( ~ rline(vd1197)
    | ~ spl54_33 ),
    inference(forward_subsumption_resolution,[],[f4431,f848]) ).

fof(f4446,plain,
    ( $false
    | ~ spl54_33 ),
    inference(forward_subsumption_resolution,[],[f4437,f555]) ).

fof(f4447,plain,
    ~ spl54_33,
    inference(avatar_contradiction_clause,[],[f4446]) ).

fof(f4448,plain,
    ( ~ rpoint(sK2)
    | ~ rpoint(sK1)
    | ~ rpoint(sK3)
    | ~ spl54_39
    | ~ spl54_42 ),
    inference(forward_subsumption_resolution,[],[f4197,f3263]) ).

fof(f4454,plain,
    ( ~ rpoint(sK1)
    | ~ rpoint(sK3)
    | ~ spl54_39
    | ~ spl54_42 ),
    inference(forward_subsumption_resolution,[],[f4448,f567]) ).

fof(f4456,plain,
    ( ~ rpoint(sK3)
    | ~ spl54_39
    | ~ spl54_42 ),
    inference(forward_subsumption_resolution,[],[f4454,f569]) ).

fof(f4458,plain,
    ( $false
    | ~ spl54_39
    | ~ spl54_42 ),
    inference(forward_subsumption_resolution,[],[f4456,f565]) ).

fof(f4459,plain,
    ( ~ spl54_39
    | ~ spl54_42 ),
    inference(avatar_contradiction_clause,[],[f4458]) ).

fof(f6149,plain,
    ( ! [X0] :
        ( ~ rline(sK10(sK2,X0))
        | ~ ron(sK1,sK10(sK2,X0))
        | sK2 = X0
        | ~ rpoint(X0)
        | ~ rpoint(sK2) )
    | ~ spl54_43 ),
    inference(resolution,[],[f3776,f1072]) ).

fof(f6150,plain,
    ( ! [X0] :
        ( ~ ron(sK1,sK10(sK2,X0))
        | sK2 = X0
        | ~ rpoint(X0)
        | ~ rpoint(sK2) )
    | ~ spl54_43 ),
    inference(forward_subsumption_resolution,[],[f6149,f1074]) ).

fof(f6152,plain,
    ( ! [X0] :
        ( ~ ron(sK1,sK10(sK2,X0))
        | sK2 = X0
        | ~ rpoint(X0) )
    | ~ spl54_43 ),
    inference(forward_subsumption_resolution,[],[f6150,f567]) ).

fof(f6156,plain,
    ( sK1 = sK2
    | ~ rpoint(sK1)
    | sK1 = sK2
    | ~ rpoint(sK1)
    | ~ rpoint(sK2)
    | ~ spl54_43 ),
    inference(resolution,[],[f6152,f1070]) ).

fof(f6157,plain,
    ( sK1 = sK2
    | ~ rpoint(sK1)
    | ~ rpoint(sK2)
    | ~ spl54_43 ),
    inference(duplicate_literal_removal,[],[f6156]) ).

fof(f6158,plain,
    ( ~ rpoint(sK1)
    | ~ rpoint(sK2)
    | spl54_16
    | ~ spl54_43 ),
    inference(forward_subsumption_resolution,[],[f6157,f2220]) ).

fof(f6161,plain,
    ( ~ rpoint(sK2)
    | spl54_16
    | ~ spl54_43 ),
    inference(forward_subsumption_resolution,[],[f6158,f569]) ).

fof(f6162,plain,
    ( $false
    | spl54_16
    | ~ spl54_43 ),
    inference(forward_subsumption_resolution,[],[f6161,f567]) ).

fof(f6163,plain,
    ( spl54_16
    | ~ spl54_43 ),
    inference(avatar_contradiction_clause,[],[f6162]) ).

cnf(s18,plain,
    ~ spl54_14,
    inference(sat_conversion,[],[f2255]) ).

cnf(s31,plain,
    ( spl54_13
    | spl54_16
    | spl54_17 ),
    inference(sat_conversion,[],[f2528]) ).

cnf(s45,plain,
    ~ spl54_13,
    inference(sat_conversion,[],[f2653]) ).

cnf(s47,plain,
    ~ spl54_16,
    inference(sat_conversion,[],[f2698]) ).

cnf(s49,plain,
    ( ~ spl54_17
    | spl54_29
    | spl54_30 ),
    inference(sat_conversion,[],[f2889]) ).

cnf(s53,plain,
    ( spl54_32
    | ~ spl54_29
    | spl54_13
    | spl54_32
    | spl54_33
    | spl54_34 ),
    inference(sat_conversion,[],[f3154]) ).

cnf(s54,plain,
    ( spl54_13
    | ~ spl54_29
    | spl54_32
    | spl54_33
    | spl54_34 ),
    inference(rat,[],[s53]) ).

cnf(s59,plain,
    ( ~ spl54_34
    | spl54_39 ),
    inference(sat_conversion,[],[f3268]) ).

cnf(s77,plain,
    ( spl54_13
    | spl54_16
    | ~ spl54_30
    | spl54_32 ),
    inference(sat_conversion,[],[f3712]) ).

cnf(s79,plain,
    ( spl54_13
    | spl54_14
    | spl54_32
    | ~ spl54_38 ),
    inference(sat_conversion,[],[f3714]) ).

cnf(s92,plain,
    ( spl54_13
    | ~ spl54_32 ),
    inference(sat_conversion,[],[f4002]) ).

cnf(s95,plain,
    ( spl54_13
    | spl54_14
    | spl54_38
    | spl54_42
    | spl54_43
    | spl54_48 ),
    inference(sat_conversion,[],[f4167]) ).

cnf(s96,plain,
    ( spl54_32
    | spl54_13
    | spl54_32
    | ~ spl54_48 ),
    inference(sat_conversion,[],[f4192]) ).

cnf(s97,plain,
    ( spl54_13
    | spl54_32
    | ~ spl54_48 ),
    inference(rat,[],[s96]) ).

cnf(s112,plain,
    ~ spl54_33,
    inference(sat_conversion,[],[f4447]) ).

cnf(s115,plain,
    ( ~ spl54_39
    | ~ spl54_42 ),
    inference(sat_conversion,[],[f4459]) ).

cnf(s164,plain,
    ( spl54_16
    | ~ spl54_43 ),
    inference(sat_conversion,[],[f6163]) ).

cnf(s190,plain,
    ( spl54_13
    | ~ spl54_29
    | spl54_32
    | spl54_34 ),
    inference(rat,[],[s54,s112]) ).

cnf(s191,plain,
    ~ spl54_43,
    inference(rat,[],[s164,s47]) ).

cnf(s193,plain,
    ~ spl54_32,
    inference(rat,[],[s92,s45]) ).

cnf(s194,plain,
    ~ spl54_30,
    inference(rat,[],[s77,s193,s47,s45]) ).

cnf(s196,plain,
    ~ spl54_48,
    inference(rat,[],[s97,s45,s193]) ).

cnf(s202,plain,
    spl54_17,
    inference(rat,[],[s31,s47,s45]) ).

cnf(s203,plain,
    spl54_29,
    inference(rat,[],[s49,s194,s202]) ).

cnf(s205,plain,
    spl54_34,
    inference(rat,[],[s190,s45,s193,s203]) ).

cnf(s206,plain,
    spl54_39,
    inference(rat,[],[s59,s205]) ).

cnf(s207,plain,
    ~ spl54_42,
    inference(rat,[],[s115,s206]) ).

cnf(s213,plain,
    spl54_38,
    inference(rat,[],[s95,s196,s191,s207,s45,s18]) ).

cnf(s214,plain,
    $false,
    inference(rat,[],[s79,s45,s193,s213,s18]) ).

fof(f6164,plain,
    $false,
    inference(avatar_sat_refutation,[],[s214]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : GEO303+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.38  % Computer : n001.cluster.edu
% 0.11/0.38  % Model    : x86_64 x86_64
% 0.11/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38  % Memory   : 8046.5625MB
% 0.11/0.38  % OS       : Linux 6.8.0-71-generic
% 0.11/0.38  % CPULimit : 300
% 0.11/0.38  % WCLimit  : 300
% 0.11/0.38  % DateTime : Sun Sep 27 08:08:00 UTC 2026
% 0.11/0.38  % CPUTime  : 
% 0.11/0.38  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.42  Running first-order theorem proving
% 0.11/0.42  Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.29/2.07  % (3233064)Detected formulas, will run a generic FOF schedule.
% 10.29/2.07  % (3233074)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2899999020:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 10.29/2.07  % (3233073)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2940699800:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 10.29/2.07  % (3233072)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3771539997:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 10.29/2.07  % (3233075)dis-21_1_sil=8000:lcm=predicate:random_seed=742610111: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)
% 10.29/2.07  % (3233069)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=544091246:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 10.29/2.07  % (3233071)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=3534309985:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 10.29/2.07  % (3233070)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=1198160118:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 10.29/2.07  % (3233072)Refutation not found, incomplete strategy
% 10.29/2.07  % (3233072)------------------------------
% 10.29/2.07  % (3233072)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.29/2.07  % (3233072)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.29/2.07  % (3233072)CaDiCaL version: 2.1.3
% 10.29/2.07  % (3233072)Termination reason: Refutation not found, incomplete strategy
% 10.29/2.07  % (3233072)Time elapsed: 0.009 s
% 10.29/2.07  % (3233072)Peak memory usage: 89 MB
% 10.29/2.07  % (3233072)Instructions burned: 16 (million)
% 10.29/2.07  % (3233073)Instruction limit reached! 
% 10.29/2.07  % (3233073)------------------------------
% 10.29/2.07  % (3233073)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.29/2.07  % (3233073)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.29/2.07  % (3233073)CaDiCaL version: 2.1.3
% 10.29/2.07  % (3233073)Termination reason: Instruction limit
% 10.29/2.07  % (3233073)Termination phase: Saturation
% 10.29/2.07  % (3233073)Time elapsed: 0.063 s
% 10.29/2.07  % (3233073)Peak memory usage: 89 MB
% 10.29/2.07  % (3233073)Instructions burned: 119 (million)
% 10.29/2.07  % (3233075)Instruction limit reached! 
% 10.29/2.07  % (3233075)------------------------------
% 10.29/2.07  % (3233075)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.29/2.07  % (3233075)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.29/2.07  % (3233075)CaDiCaL version: 2.1.3
% 10.29/2.07  % (3233075)Termination reason: Instruction limit
% 10.29/2.07  % (3233075)Termination phase: Saturation
% 10.29/2.07  % (3233075)Time elapsed: 0.067 s
% 10.29/2.07  % (3233075)Peak memory usage: 90 MB
% 10.29/2.07  % (3233075)Instructions burned: 129 (million)
% 10.29/2.07  % (3233074)Instruction limit reached! 
% 10.29/2.07  % (3233074)------------------------------
% 10.29/2.07  % (3233074)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.29/2.07  % (3233074)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.29/2.07  % (3233074)CaDiCaL version: 2.1.3
% 10.29/2.07  % (3233074)Termination reason: Instruction limit
% 10.29/2.07  % (3233074)Termination phase: Saturation
% 10.29/2.07  % (3233074)Time elapsed: 0.082 s
% 10.29/2.07  % (3233074)Peak memory usage: 91 MB
% 10.29/2.07  % (3233074)Instructions burned: 139 (million)
% 10.29/2.07  % (3233084)lrs+10_1_sil=32000:urr=on:br=off:random_seed=520099751:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 10.29/2.07  % (3233084)Refutation not found, incomplete strategy
% 10.29/2.07  % (3233084)------------------------------
% 10.29/2.07  % (3233084)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.29/2.07  % (3233084)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.29/2.07  % (3233084)CaDiCaL version: 2.1.3
% 10.29/2.07  % (3233084)Termination reason: Refutation not found, incomplete strategy
% 10.29/2.07  % (3233084)Time elapsed: 0.006 s
% 10.29/2.07  % (3233084)Peak memory usage: 89 MB
% 10.29/2.07  % (3233084)Instructions burned: 21 (million)
% 15.51/2.87  % (3233083)lrs+10_1_sil=8000:sp=occurrence:random_seed=2896460239:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 15.51/2.87  % (3233085)lrs+1011_1_sil=32000:sp=occurrence:random_seed=666564561:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 15.51/2.87  % (3233085)Refutation not found, incomplete strategy
% 15.51/2.87  % (3233085)------------------------------
% 15.51/2.87  % (3233085)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.51/2.87  % (3233085)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.51/2.87  % (3233085)CaDiCaL version: 2.1.3
% 15.51/2.87  % (3233085)Termination reason: Refutation not found, incomplete strategy
% 15.51/2.87  % (3233085)Time elapsed: 0.019 s
% 15.51/2.87  % (3233085)Peak memory usage: 89 MB
% 15.51/2.87  % (3233085)Instructions burned: 38 (million)
% 15.51/2.87  % (3233072)------------------------------
% 15.51/2.87  % (3233072)------------------------------
% 15.51/2.87  % (3233084)------------------------------
% 15.51/2.87  % (3233084)------------------------------
% 15.51/2.87  % (3233083)Instruction limit reached! 
% 15.51/2.87  % (3233083)------------------------------
% 15.51/2.87  % (3233083)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.51/2.87  % (3233083)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.51/2.87  % (3233083)CaDiCaL version: 2.1.3
% 15.51/2.87  % (3233083)Termination reason: Instruction limit
% 15.51/2.87  % (3233083)Termination phase: Saturation
% 15.51/2.87  % (3233083)Time elapsed: 0.151 s
% 15.51/2.87  % (3233083)Peak memory usage: 92 MB
% 15.51/2.87  % (3233083)Instructions burned: 286 (million)
% 15.51/2.87  % (3233090)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2701082631:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 15.51/2.87  % (3233089)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=2412566994:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 15.51/2.87  % (3233090)Instruction limit reached! 
% 15.51/2.87  % (3233090)------------------------------
% 15.51/2.87  % (3233090)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.51/2.87  % (3233090)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.51/2.87  % (3233090)CaDiCaL version: 2.1.3
% 15.51/2.87  % (3233090)Termination reason: Instruction limit
% 15.51/2.87  % (3233090)Termination phase: Saturation
% 15.51/2.87  % (3233090)Time elapsed: 0.074 s
% 15.51/2.87  % (3233090)Peak memory usage: 89 MB
% 15.51/2.87  % (3233090)Instructions burned: 298 (million)
% 15.51/2.87  % (3233085)------------------------------
% 15.51/2.87  % (3233085)------------------------------
% 15.51/2.87  % (3233091)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2281712898:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 15.51/2.87  % (3233089)Instruction limit reached! 
% 15.51/2.87  % (3233089)------------------------------
% 15.51/2.87  % (3233089)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.51/2.87  % (3233089)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.51/2.87  % (3233089)CaDiCaL version: 2.1.3
% 15.51/2.87  % (3233089)Termination reason: Instruction limit
% 15.51/2.87  % (3233089)Termination phase: Saturation
% 15.51/2.87  % (3233089)Time elapsed: 0.118 s
% 15.51/2.87  % (3233089)Peak memory usage: 93 MB
% 15.51/2.87  % (3233089)Instructions burned: 248 (million)
% 15.51/2.87  % (3233094)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1423469710:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 15.51/2.87  % (3233094)Instruction limit reached! 
% 15.51/2.87  % (3233094)------------------------------
% 15.51/2.87  % (3233094)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.51/2.87  % (3233094)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.51/2.87  % (3233094)CaDiCaL version: 2.1.3
% 15.51/2.87  % (3233094)Termination reason: Instruction limit
% 15.51/2.87  % (3233094)Termination phase: Saturation
% 15.51/2.87  % (3233094)Time elapsed: 0.030 s
% 15.51/2.87  % (3233094)Peak memory usage: 90 MB
% 15.51/2.87  % (3233094)Instructions burned: 116 (million)
% 15.51/2.87  % (3233096)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=4262502244:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 15.51/2.87  % (3233097)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2003418903:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 26.87/4.45  % (3233096)Refutation not found, incomplete strategy
% 26.87/4.45  % (3233096)------------------------------
% 26.87/4.45  % (3233096)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.87/4.45  % (3233096)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.87/4.45  % (3233096)CaDiCaL version: 2.1.3
% 26.87/4.45  % (3233096)Termination reason: Refutation not found, incomplete strategy
% 26.87/4.45  % (3233096)Time elapsed: 0.033 s
% 26.87/4.45  % (3233096)Peak memory usage: 89 MB
% 26.87/4.45  % (3233096)Instructions burned: 68 (million)
% 26.87/4.45  % (3233099)lrs+10_1_sil=8000:sp=occurrence:random_seed=767853177:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 26.87/4.45  % (3233097)Instruction limit reached! 
% 26.87/4.45  % (3233097)------------------------------
% 26.87/4.45  % (3233097)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.87/4.45  % (3233097)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.87/4.45  % (3233097)CaDiCaL version: 2.1.3
% 26.87/4.45  % (3233097)Termination reason: Instruction limit
% 26.87/4.45  % (3233097)Termination phase: Saturation
% 26.87/4.45  % (3233097)Time elapsed: 0.053 s
% 26.87/4.45  % (3233097)Peak memory usage: 89 MB
% 26.87/4.45  % (3233097)Instructions burned: 116 (million)
% 26.87/4.45  % (3233103)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=437789708:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 26.87/4.45  % (3233103)Refutation not found, incomplete strategy
% 26.87/4.45  % (3233103)------------------------------
% 26.87/4.45  % (3233103)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.87/4.45  % (3233103)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.87/4.45  % (3233103)CaDiCaL version: 2.1.3
% 26.87/4.45  % (3233103)Termination reason: Refutation not found, incomplete strategy
% 26.87/4.45  % (3233103)Time elapsed: 0.021 s
% 26.87/4.45  % (3233103)Peak memory usage: 90 MB
% 26.87/4.45  % (3233103)Instructions burned: 40 (million)
% 26.87/4.45  % (3233096)------------------------------
% 26.87/4.45  % (3233096)------------------------------
% 26.87/4.45  % (3233099)Instruction limit reached! 
% 26.87/4.45  % (3233099)------------------------------
% 26.87/4.45  % (3233099)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.87/4.45  % (3233099)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.87/4.45  % (3233099)CaDiCaL version: 2.1.3
% 26.87/4.45  % (3233099)Termination reason: Instruction limit
% 26.87/4.45  % (3233099)Termination phase: Saturation
% 26.87/4.45  % (3233099)Time elapsed: 0.252 s
% 26.87/4.45  % (3233099)Peak memory usage: 97 MB
% 26.87/4.45  % (3233099)Instructions burned: 910 (million)
% 26.87/4.45  % (3233106)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3269485007:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2989 on theBenchmark for (2989ds/134Mi)
% 26.87/4.45  % (3233106)Instruction limit reached! 
% 26.87/4.45  % (3233106)------------------------------
% 26.87/4.45  % (3233106)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.87/4.45  % (3233106)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.87/4.45  % (3233106)CaDiCaL version: 2.1.3
% 26.87/4.45  % (3233106)Termination reason: Instruction limit
% 26.87/4.45  % (3233106)Termination phase: Saturation
% 26.87/4.45  % (3233106)Time elapsed: 0.036 s
% 26.87/4.45  % (3233106)Peak memory usage: 93 MB
% 26.87/4.45  % (3233106)Instructions burned: 136 (million)
% 26.87/4.45  % (3233105)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2292519921:i=5202:ss=axioms:sgt=16_2989 on theBenchmark for (2989ds/5202Mi)
% 26.87/4.45  % (3233103)------------------------------
% 26.87/4.45  % (3233103)------------------------------
% 26.87/4.45  % (3233108)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=2379320797:st=8:i=592:sd=3:ep=RST:ss=axioms_2988 on theBenchmark for (2988ds/592Mi)
% 26.87/4.45  % (3233110)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=1215828858:st=3:i=13193:sd=3:ss=axioms_2987 on theBenchmark for (2987ds/13193Mi)
% 26.87/4.45  % (3233108)Instruction limit reached! 
% 26.87/4.45  % (3233108)------------------------------
% 26.87/4.45  % (3233108)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.87/4.45  % (3233108)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.87/4.45  % (3233108)CaDiCaL version: 2.1.3
% 26.87/4.45  % (3233108)Termination reason: Instruction limit
% 26.87/4.45  % (3233108)Termination phase: Saturation
% 26.87/4.45  % (3233108)Time elapsed: 0.176 s
% 26.87/4.45  % (3233108)Peak memory usage: 93 MB
% 26.87/4.45  % (3233108)Instructions burned: 595 (million)
% 26.87/4.45  % (3233113)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=272395699:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2985 on theBenchmark for (2985ds/125Mi)
% 26.87/4.45  % (3233113)Instruction limit reached! 
% 26.87/4.45  % (3233113)------------------------------
% 26.87/4.45  % (3233113)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.87/4.45  % (3233113)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.87/4.45  % (3233113)CaDiCaL version: 2.1.3
% 26.87/4.45  % (3233113)Termination reason: Instruction limit
% 26.87/4.45  % (3233113)Termination phase: Saturation
% 26.87/4.45  % (3233113)Time elapsed: 0.033 s
% 26.87/4.45  % (3233113)Peak memory usage: 93 MB
% 26.87/4.45  % (3233113)Instructions burned: 128 (million)
% 26.87/4.45  % (3233115)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=2310849197:i=134:gtgl=5:slsql=off:gtg=exists_sym_2984 on theBenchmark for (2984ds/134Mi)
% 26.87/4.45  % (3233115)Instruction limit reached! 
% 26.87/4.45  % (3233115)------------------------------
% 26.87/4.45  % (3233115)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.87/4.45  % (3233115)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.87/4.45  % (3233115)CaDiCaL version: 2.1.3
% 26.87/4.45  % (3233115)Termination reason: Instruction limit
% 26.87/4.45  % (3233115)Termination phase: Saturation
% 26.87/4.45  % (3233115)Time elapsed: 0.033 s
% 26.87/4.45  % (3233115)Peak memory usage: 90 MB
% 26.87/4.45  % (3233115)Instructions burned: 135 (million)
% 26.87/4.45  % (3233117)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=71185534:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2983 on theBenchmark for (2983ds/141Mi)
% 26.87/4.45  % (3233117)Refutation not found, incomplete strategy
% 26.87/4.45  % (3233117)------------------------------
% 26.87/4.45  % (3233117)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.87/4.45  % (3233117)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.87/4.45  % (3233117)CaDiCaL version: 2.1.3
% 26.87/4.45  % (3233117)Termination reason: Refutation not found, incomplete strategy
% 26.87/4.45  % (3233117)Time elapsed: 0.003 s
% 26.87/4.45  % (3233117)Peak memory usage: 89 MB
% 26.87/4.45  % (3233117)Instructions burned: 9 (million)
% 26.87/4.45  % (3233117)------------------------------
% 26.87/4.45  % (3233117)------------------------------
% 26.87/4.45  % (3233119)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=1623965360:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2980 on theBenchmark for (2980ds/431Mi)
% 26.87/4.45  % (3233119)Refutation not found, incomplete strategy
% 26.87/4.45  % (3233119)------------------------------
% 26.87/4.45  % (3233119)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.87/4.45  % (3233119)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.87/4.45  % (3233119)CaDiCaL version: 2.1.3
% 26.87/4.45  % (3233119)Termination reason: Refutation not found, incomplete strategy
% 26.87/4.45  % (3233119)Time elapsed: 0.007 s
% 26.87/4.45  % (3233119)Peak memory usage: 89 MB
% 26.87/4.45  % (3233119)Instructions burned: 26 (million)
% 26.87/4.45  % (3233091)Instruction limit reached! 
% 26.87/4.45  % (3233091)------------------------------
% 26.87/4.45  % (3233091)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.87/4.45  % (3233091)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.87/4.45  % (3233091)CaDiCaL version: 2.1.3
% 26.87/4.45  % (3233091)Termination reason: Instruction limit
% 26.87/4.45  % (3233091)Termination phase: Saturation
% 26.87/4.45  % (3233091)Time elapsed: 1.453 s
% 26.87/4.45  % (3233091)Peak memory usage: 140 MB
% 26.87/4.45  % (3233091)Instructions burned: 2350 (million)
% 26.87/4.45  % (3233119)------------------------------
% 26.87/4.45  % (3233119)------------------------------
% 26.87/4.45  % (3233121)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=3799072616:i=6060:aac=none:ins=25_2979 on theBenchmark for (2979ds/6060Mi)
% 26.87/4.45  % (3233122)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=3508023445:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2978 on theBenchmark for (2978ds/150Mi)
% 26.87/4.45  % (3233122)Instruction limit reached! 
% 26.87/4.45  % (3233122)------------------------------
% 26.87/4.45  % (3233122)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.87/4.45  % (3233122)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.87/4.45  % (3233122)CaDiCaL version: 2.1.3
% 26.87/4.45  % (3233122)Termination reason: Instruction limit
% 26.87/4.45  % (3233122)Termination phase: Saturation
% 26.87/4.45  % (3233122)Time elapsed: 0.041 s
% 26.87/4.45  % (3233122)Peak memory usage: 92 MB
% 26.87/4.45  % (3233122)Instructions burned: 152 (million)
% 26.87/4.45  % (3233125)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=1217228281:i=14155:bd=all_2977 on theBenchmark for (2977ds/14155Mi)
% 26.87/4.45  % (3233125)First to succeed.
% 26.87/4.45  % (3233125)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3233064"
% 26.87/4.45  % (3233105)Instruction limit reached! 
% 26.87/4.45  % (3233105)------------------------------
% 26.87/4.45  % (3233105)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.87/4.45  % (3233105)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.87/4.45  % (3233105)CaDiCaL version: 2.1.3
% 26.87/4.45  % (3233105)Termination reason: Instruction limit
% 26.87/4.45  % (3233105)Termination phase: Saturation
% 26.87/4.45  % (3233105)Time elapsed: 2.487 s
% 26.87/4.45  % (3233105)Peak memory usage: 140 MB
% 26.87/4.45  % (3233105)Instructions burned: 5204 (million)
% 26.87/4.45  % (3233127)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=224280642:i=667:av=off:fsr=off_2963 on theBenchmark for (2963ds/667Mi)
% 26.87/4.45  % (3233125)Refutation found. Thanks to Tanya!
% 26.87/4.45  % SZS status ContradictoryAxioms for theBenchmark
% 26.87/4.45  % SZS output start Proof for theBenchmark
% See solution above
% 27.46/4.64  % (3233125)------------------------------
% 27.46/4.64  % (3233125)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.46/4.64  % (3233125)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.46/4.64  % (3233125)CaDiCaL version: 2.1.3
% 27.46/4.64  % (3233125)Termination reason: Refutation
% 27.46/4.64  % (3233125)Time elapsed: 1.183 s
% 27.46/4.64  % (3233125)Peak memory usage: 137 MB
% 27.46/4.64  % (3233125)Instructions burned: 2542 (million)
% 27.46/4.64  % (3233125)------------------------------
% 27.46/4.64  % (3233125)------------------------------
% 27.46/4.64  % (3233064)Success in time 3.831 s
% 27.46/4.64  % Vampire exiting
%------------------------------------------------------------------------------