↑ Up

Vampire---5.0.1.CAX-Ref.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : GEO346+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 : n009.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 09:52:33 AM UTC 2026

% Result   : ContradictoryAxioms 14.21s 3.70s
% Output   : Refutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   33
%            Number of leaves      :   18
% Syntax   : Number of formulae    :  201 (  42 unt;   6 def)
%            Number of atoms       : 1472 ( 535 equ)
%            Maximal formula atoms :   26 (   7 avg)
%            Number of connectives : 2204 ( 933   ~;1130   |; 125   &)
%                                         (   9 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   40 (  10 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   13 (  11 usr;   7 prp; 0-3 aty)
%            Number of functors    :   14 (  14 usr;  12 con; 0-3 aty)
%            Number of variables   :  609 (   0 sgn 581   !;  28   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f9,axiom,
    rpoint(vd1409),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(406, 0)') ).

fof(f10,axiom,
    ( vd1406 = vd1407
    & ron(vd1400,vd1406)
    & ron(vd1399,vd1406)
    & rline(vd1407)
    & vd1400 != vd1401
    & vd1399 != vd1401
    & vd1399 != vd1400
    & ? [X0] :
        ( vd1401 = X0
        & rpoint(X0) )
    & ? [X1] :
        ( vd1400 = X1
        & rpoint(X1) )
    & ? [X2] :
        ( vd1399 = X2
        & rpoint(X2) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','and(pred(conjunct2(405), 5), and(pred(s2(plural(conjunct2(405))), 0), and(pred(s1(plural(conjunct2(405))), 0), and(pred(conjunct2(405), 1), and(pred(conjunct1(405), 9), and(pred(conjunct1(405), 8), and(pred(conjunct1(405), 7), and(qe(s3(plural(405))), and(qe(s2(plural(405))), qe(s1(plural(405))))))))))))') ).

fof(f11,axiom,
    ! [X0,X1,X2,X3] :
      ( ( ron(X1,X3)
        & ron(X1,X2)
        & ron(X0,X3)
        & ron(X0,X2)
        & ? [X4] :
            ( X3 = X4
            & rline(X4) )
        & ? [X5] :
            ( X2 = X5
            & rline(X5) )
        & X0 != X1
        & ? [X6] :
            ( X1 = X6
            & rpoint(X6) )
        & ? [X7] :
            ( X0 = X7
            & rpoint(X7) ) )
     => X2 = X3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(73), 0), imp(cond(axiom(73), 0)))') ).

fof(f14,axiom,
    ( ron(vd1399,vskolem1416)
    & ron(vd1401,vskolem1416)
    & rline(vskolem1416) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','replace(replace(and(pred(s2(plural(the(408))), 0), and(pred(s1(plural(the(408))), 0), pred(the(408), 0)))))') ).

fof(f15,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(f16,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(f19,axiom,
    rS(vd1401,vd1409,vd1406),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(conjunct1(406), 1410, 0)') ).

fof(f48,axiom,
    ! [X0,X1,X2,X3,X4] :
      ( ( X3 = X4
        & ron(X2,X3)
        & ron(X0,X3)
        & rR(X1,X0,X2)
        & rline(X4)
        & ? [X5] :
            ( X2 = X5
            & rpoint(X5) )
        & ? [X6] :
            ( X1 = X6
            & rpoint(X6) )
        & ? [X7] :
            ( X0 = X7
            & rpoint(X7) ) )
     => ron(X1,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(85), 0), imp(cond(axiom(85), 0)))') ).

fof(f49,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(f57,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(f66,axiom,
    ! [X0,X1,X2,X3] :
      ( ( rS(X0,X1,X2)
        & X2 = X3
        & rline(X3)
        & ? [X4] :
            ( X1 = X4
            & rpoint(X4) )
        & ? [X5] :
            ( X0 = X5
            & rpoint(X5) ) )
     => ~ ron(X0,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(99), 0), imp(cond(axiom(99), 0)))') ).

fof(f77,axiom,
    v0 = vd684,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(axiom(137), 2)') ).

fof(f138,plain,
    ! [X0,X1,X2,X3] :
      ( X2 = X3
      | ~ ron(X1,X3)
      | ~ ron(X1,X2)
      | ~ ron(X0,X3)
      | ~ ron(X0,X2)
      | ! [X4] :
          ( X3 != X4
          | ~ rline(X4) )
      | ! [X5] :
          ( X2 != X5
          | ~ rline(X5) )
      | X0 = X1
      | ! [X6] :
          ( X1 != X6
          | ~ rpoint(X6) )
      | ! [X7] :
          ( X0 != X7
          | ~ rpoint(X7) ) ),
    inference(ennf_transformation,[],[f11]) ).

fof(f139,plain,
    ! [X0,X1,X2,X3] :
      ( X2 = X3
      | ~ ron(X1,X3)
      | ~ ron(X1,X2)
      | ~ ron(X0,X3)
      | ~ ron(X0,X2)
      | ! [X4] :
          ( X3 != X4
          | ~ rline(X4) )
      | ! [X5] :
          ( X2 != X5
          | ~ rline(X5) )
      | X0 = X1
      | ! [X6] :
          ( X1 != X6
          | ~ rpoint(X6) )
      | ! [X7] :
          ( X0 != X7
          | ~ rpoint(X7) ) ),
    inference(flattening,[],[f138]) ).

fof(f142,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,[],[f15]) ).

fof(f143,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,[],[f142]) ).

fof(f144,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,[],[f16]) ).

fof(f145,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,[],[f144]) ).

fof(f200,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ron(X1,X3)
      | X3 != X4
      | ~ ron(X2,X3)
      | ~ ron(X0,X3)
      | ~ rR(X1,X0,X2)
      | ~ rline(X4)
      | ! [X5] :
          ( X2 != X5
          | ~ rpoint(X5) )
      | ! [X6] :
          ( X1 != X6
          | ~ rpoint(X6) )
      | ! [X7] :
          ( X0 != X7
          | ~ rpoint(X7) ) ),
    inference(ennf_transformation,[],[f48]) ).

fof(f201,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ron(X1,X3)
      | X3 != X4
      | ~ ron(X2,X3)
      | ~ ron(X0,X3)
      | ~ rR(X1,X0,X2)
      | ~ rline(X4)
      | ! [X5] :
          ( X2 != X5
          | ~ rpoint(X5) )
      | ! [X6] :
          ( X1 != X6
          | ~ rpoint(X6) )
      | ! [X7] :
          ( X0 != X7
          | ~ rpoint(X7) ) ),
    inference(flattening,[],[f200]) ).

fof(f202,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,[],[f49]) ).

fof(f203,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,[],[f202]) ).

fof(f218,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,[],[f57]) ).

fof(f219,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,[],[f218]) ).

fof(f236,plain,
    ! [X0,X1,X2,X3] :
      ( ~ ron(X0,X2)
      | ~ rS(X0,X1,X2)
      | X2 != X3
      | ~ rline(X3)
      | ! [X4] :
          ( X1 != X4
          | ~ rpoint(X4) )
      | ! [X5] :
          ( X0 != X5
          | ~ rpoint(X5) ) ),
    inference(ennf_transformation,[],[f66]) ).

fof(f237,plain,
    ! [X0,X1,X2,X3] :
      ( ~ ron(X0,X2)
      | ~ rS(X0,X1,X2)
      | X2 != X3
      | ~ rline(X3)
      | ! [X4] :
          ( X1 != X4
          | ~ rpoint(X4) )
      | ! [X5] :
          ( X0 != X5
          | ~ rpoint(X5) ) ),
    inference(flattening,[],[f236]) ).

fof(f366,plain,
    ( vd1406 = vd1407
    & ron(vd1400,vd1406)
    & ron(vd1399,vd1406)
    & rline(vd1407)
    & vd1400 != vd1401
    & vd1399 != vd1401
    & vd1399 != vd1400
    & vd1401 = sK1
    & rpoint(sK1)
    & vd1400 = sK2
    & rpoint(sK2)
    & vd1399 = sK3
    & rpoint(sK3) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2,sK3]),skolemize(X0,sK1),skolemize(X1,sK2),skolemize(X2,sK3)],[f10]) ).

fof(f367,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,[],[f143]) ).

fof(f368,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,[],[f367]) ).

fof(f369,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,[],[f145]) ).

fof(f370,plain,
    ! [X0,X1] :
      ( ( ron(X1,sK4(X0,X1))
        & ron(X0,sK4(X0,X1))
        & rline(sK4(X0,X1)) )
      | X0 = X1
      | ! [X3] :
          ( X1 != X3
          | ~ rpoint(X3) )
      | ! [X4] :
          ( X0 != X4
          | ~ rpoint(X4) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(X2,sK4(X0,X1))],[f369]) ).

fof(f454,plain,
    rpoint(vd1409),
    inference(cnf_transformation,[],[f9]) ).

fof(f455,plain,
    rpoint(sK3),
    inference(cnf_transformation,[],[f366]) ).

fof(f456,plain,
    vd1399 = sK3,
    inference(cnf_transformation,[],[f366]) ).

fof(f457,plain,
    rpoint(sK2),
    inference(cnf_transformation,[],[f366]) ).

fof(f458,plain,
    vd1400 = sK2,
    inference(cnf_transformation,[],[f366]) ).

fof(f459,plain,
    rpoint(sK1),
    inference(cnf_transformation,[],[f366]) ).

fof(f460,plain,
    vd1401 = sK1,
    inference(cnf_transformation,[],[f366]) ).

fof(f461,plain,
    vd1400 != vd1399,
    inference(cnf_transformation,[],[f366]) ).

fof(f462,plain,
    vd1401 != vd1399,
    inference(cnf_transformation,[],[f366]) ).

fof(f463,plain,
    vd1401 != vd1400,
    inference(cnf_transformation,[],[f366]) ).

fof(f464,plain,
    rline(vd1407),
    inference(cnf_transformation,[],[f366]) ).

fof(f465,plain,
    ron(vd1399,vd1406),
    inference(cnf_transformation,[],[f366]) ).

fof(f466,plain,
    ron(vd1400,vd1406),
    inference(cnf_transformation,[],[f366]) ).

fof(f467,plain,
    vd1406 = vd1407,
    inference(cnf_transformation,[],[f366]) ).

fof(f468,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( X2 = X3
      | ~ ron(X1,X3)
      | ~ ron(X1,X2)
      | ~ ron(X0,X3)
      | ~ ron(X0,X2)
      | X3 != X4
      | ~ rline(X4)
      | X2 != X5
      | ~ rline(X5)
      | X0 = X1
      | X1 != X6
      | ~ rpoint(X6)
      | X0 != X7
      | ~ rpoint(X7) ),
    inference(cnf_transformation,[],[f139]) ).

fof(f471,plain,
    rline(vskolem1416),
    inference(cnf_transformation,[],[f14]) ).

fof(f472,plain,
    ron(vd1401,vskolem1416),
    inference(cnf_transformation,[],[f14]) ).

fof(f473,plain,
    ron(vd1399,vskolem1416),
    inference(cnf_transformation,[],[f14]) ).

fof(f474,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,[],[f368]) ).

fof(f475,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,[],[f368]) ).

fof(f476,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( ~ rR(X0,X2,X4)
      | 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,[],[f368]) ).

fof(f477,plain,
    ! [X3,X0,X1,X4] :
      ( rline(sK4(X0,X1))
      | X0 = X1
      | X1 != X3
      | ~ rpoint(X3)
      | X0 != X4
      | ~ rpoint(X4) ),
    inference(cnf_transformation,[],[f370]) ).

fof(f478,plain,
    ! [X3,X0,X1,X4] :
      ( ron(X0,sK4(X0,X1))
      | X0 = X1
      | X1 != X3
      | ~ rpoint(X3)
      | X0 != X4
      | ~ rpoint(X4) ),
    inference(cnf_transformation,[],[f370]) ).

fof(f479,plain,
    ! [X3,X0,X1,X4] :
      ( ron(X1,sK4(X0,X1))
      | X0 = X1
      | X1 != X3
      | ~ rpoint(X3)
      | X0 != X4
      | ~ rpoint(X4) ),
    inference(cnf_transformation,[],[f370]) ).

fof(f482,plain,
    rS(vd1401,vd1409,vd1406),
    inference(cnf_transformation,[],[f19]) ).

fof(f532,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( ron(X1,X3)
      | X3 != X4
      | ~ ron(X2,X3)
      | ~ ron(X0,X3)
      | ~ rR(X1,X0,X2)
      | ~ rline(X4)
      | X2 != X5
      | ~ rpoint(X5)
      | X1 != X6
      | ~ rpoint(X6)
      | X0 != X7
      | ~ rpoint(X7) ),
    inference(cnf_transformation,[],[f201]) ).

fof(f535,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,[],[f203]) ).

fof(f569,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,[],[f219]) ).

fof(f584,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ ron(X0,X2)
      | ~ rS(X0,X1,X2)
      | X2 != X3
      | ~ rline(X3)
      | X1 != X4
      | ~ rpoint(X4)
      | X0 != X5
      | ~ rpoint(X5) ),
    inference(cnf_transformation,[],[f237]) ).

fof(f607,plain,
    v0 = vd684,
    inference(cnf_transformation,[],[f77]) ).

fof(f740,plain,
    ron(sK2,vd1407),
    inference(definition_unfolding,[],[f466,f458,f467]) ).

fof(f741,plain,
    ron(sK3,vd1407),
    inference(definition_unfolding,[],[f465,f456,f467]) ).

fof(f742,plain,
    sK1 != sK2,
    inference(definition_unfolding,[],[f463,f460,f458]) ).

fof(f743,plain,
    sK1 != sK3,
    inference(definition_unfolding,[],[f462,f460,f456]) ).

fof(f744,plain,
    sK2 != sK3,
    inference(definition_unfolding,[],[f461,f458,f456]) ).

fof(f746,plain,
    ron(sK3,vskolem1416),
    inference(definition_unfolding,[],[f473,f456]) ).

fof(f747,plain,
    ron(sK1,vskolem1416),
    inference(definition_unfolding,[],[f472,f460]) ).

fof(f748,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( ~ rR(X0,X2,X4)
      | 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,[],[f476,f607]) ).

fof(f749,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,[],[f475,f607]) ).

fof(f750,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,[],[f474,f607]) ).

fof(f753,plain,
    rS(sK1,vd1409,vd1407),
    inference(definition_unfolding,[],[f482,f460,f467]) ).

fof(f782,plain,
    ! [X2,X0,X1,X6,X7,X4,X5] :
      ( X2 = X4
      | ~ ron(X1,X4)
      | ~ ron(X1,X2)
      | ~ ron(X0,X4)
      | ~ ron(X0,X2)
      | ~ rline(X4)
      | X2 != X5
      | ~ rline(X5)
      | X0 = X1
      | X1 != X6
      | ~ rpoint(X6)
      | X0 != X7
      | ~ rpoint(X7) ),
    inference(equality_resolution,[],[f468]) ).

fof(f783,plain,
    ! [X0,X1,X6,X7,X4,X5] :
      ( X4 = X5
      | ~ ron(X1,X4)
      | ~ ron(X1,X5)
      | ~ ron(X0,X4)
      | ~ ron(X0,X5)
      | ~ rline(X4)
      | ~ rline(X5)
      | X0 = X1
      | X1 != X6
      | ~ rpoint(X6)
      | X0 != X7
      | ~ rpoint(X7) ),
    inference(equality_resolution,[],[f782]) ).

fof(f784,plain,
    ! [X0,X6,X7,X4,X5] :
      ( X4 = X5
      | ~ ron(X6,X4)
      | ~ ron(X6,X5)
      | ~ ron(X0,X4)
      | ~ ron(X0,X5)
      | ~ rline(X4)
      | ~ rline(X5)
      | X0 = X6
      | ~ rpoint(X6)
      | X0 != X7
      | ~ rpoint(X7) ),
    inference(equality_resolution,[],[f783]) ).

fof(f785,plain,
    ! [X6,X7,X4,X5] :
      ( ~ rline(X5)
      | ~ ron(X6,X4)
      | ~ ron(X6,X5)
      | ~ ron(X7,X4)
      | ~ ron(X7,X5)
      | ~ rline(X4)
      | X4 = X5
      | X6 = X7
      | ~ rpoint(X6)
      | ~ rpoint(X7) ),
    inference(equality_resolution,[],[f784]) ).

fof(f786,plain,
    ! [X2,X3,X0,X1,X7,X4,X5] :
      ( ~ rR(X0,X2,X4)
      | 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,[],[f748]) ).

fof(f787,plain,
    ! [X2,X3,X0,X1,X7,X5] :
      ( ~ rR(X0,X2,X5)
      | 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,[],[f786]) ).

fof(f788,plain,
    ! [X3,X0,X1,X7,X5] :
      ( ~ rR(X0,X3,X5)
      | 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,[],[f787]) ).

fof(f789,plain,
    ! [X3,X1,X7,X5] :
      ( ~ rline(X7)
      | vd684 != vangle(X3,X1,X5)
      | ~ ron(X3,X7)
      | ~ ron(X1,X7)
      | X1 = X5
      | X1 = X3
      | ~ rR(X1,X3,X5)
      | ~ rpoint(X5)
      | ~ rpoint(X3)
      | ~ rpoint(X1) ),
    inference(equality_resolution,[],[f788]) ).

fof(f790,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,[],[f749]) ).

fof(f791,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,[],[f790]) ).

fof(f792,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,[],[f791]) ).

fof(f793,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,[],[f792]) ).

fof(f794,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,[],[f750]) ).

fof(f795,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,[],[f794]) ).

fof(f796,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,[],[f795]) ).

fof(f797,plain,
    ! [X3,X1,X7,X5] :
      ( ~ rline(X7)
      | rR(X1,X3,X5)
      | ~ ron(X5,X7)
      | ~ ron(X3,X7)
      | ~ ron(X1,X7)
      | X1 = X5
      | X1 = X3
      | vd684 = vangle(X3,X1,X5)
      | ~ rpoint(X5)
      | ~ rpoint(X3)
      | ~ rpoint(X1) ),
    inference(equality_resolution,[],[f796]) ).

fof(f798,plain,
    ! [X3,X0,X4] :
      ( ron(X3,sK4(X0,X3))
      | X0 = X3
      | ~ rpoint(X3)
      | X0 != X4
      | ~ rpoint(X4) ),
    inference(equality_resolution,[],[f479]) ).

fof(f799,plain,
    ! [X3,X4] :
      ( ron(X3,sK4(X4,X3))
      | X3 = X4
      | ~ rpoint(X3)
      | ~ rpoint(X4) ),
    inference(equality_resolution,[],[f798]) ).

fof(f800,plain,
    ! [X3,X0,X4] :
      ( ron(X0,sK4(X0,X3))
      | X0 = X3
      | ~ rpoint(X3)
      | X0 != X4
      | ~ rpoint(X4) ),
    inference(equality_resolution,[],[f478]) ).

fof(f801,plain,
    ! [X3,X4] :
      ( ron(X4,sK4(X4,X3))
      | X3 = X4
      | ~ rpoint(X3)
      | ~ rpoint(X4) ),
    inference(equality_resolution,[],[f800]) ).

fof(f802,plain,
    ! [X3,X0,X4] :
      ( rline(sK4(X0,X3))
      | X0 = X3
      | ~ rpoint(X3)
      | X0 != X4
      | ~ rpoint(X4) ),
    inference(equality_resolution,[],[f477]) ).

fof(f803,plain,
    ! [X3,X4] :
      ( rline(sK4(X4,X3))
      | X3 = X4
      | ~ rpoint(X3)
      | ~ rpoint(X4) ),
    inference(equality_resolution,[],[f802]) ).

fof(f970,plain,
    ! [X2,X0,X1,X6,X7,X4,X5] :
      ( ron(X1,X4)
      | ~ ron(X2,X4)
      | ~ ron(X0,X4)
      | ~ rR(X1,X0,X2)
      | ~ rline(X4)
      | X2 != X5
      | ~ rpoint(X5)
      | X1 != X6
      | ~ rpoint(X6)
      | X0 != X7
      | ~ rpoint(X7) ),
    inference(equality_resolution,[],[f532]) ).

fof(f971,plain,
    ! [X0,X1,X6,X7,X4,X5] :
      ( ron(X1,X4)
      | ~ ron(X5,X4)
      | ~ ron(X0,X4)
      | ~ rR(X1,X0,X5)
      | ~ rline(X4)
      | ~ rpoint(X5)
      | X1 != X6
      | ~ rpoint(X6)
      | X0 != X7
      | ~ rpoint(X7) ),
    inference(equality_resolution,[],[f970]) ).

fof(f972,plain,
    ! [X0,X6,X7,X4,X5] :
      ( ron(X6,X4)
      | ~ ron(X5,X4)
      | ~ ron(X0,X4)
      | ~ rR(X6,X0,X5)
      | ~ rline(X4)
      | ~ rpoint(X5)
      | ~ rpoint(X6)
      | X0 != X7
      | ~ rpoint(X7) ),
    inference(equality_resolution,[],[f971]) ).

fof(f973,plain,
    ! [X6,X7,X4,X5] :
      ( ~ rR(X6,X7,X5)
      | ~ ron(X5,X4)
      | ~ ron(X7,X4)
      | ron(X6,X4)
      | ~ rline(X4)
      | ~ rpoint(X5)
      | ~ rpoint(X6)
      | ~ rpoint(X7) ),
    inference(equality_resolution,[],[f972]) ).

fof(f977,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,[],[f535]) ).

fof(f978,plain,
    ! [X3,X1,X4,X5] :
      ( ~ rR(X1,X3,X3)
      | ~ rpoint(X3)
      | X1 != X4
      | ~ rpoint(X4)
      | X3 != X5
      | ~ rpoint(X5) ),
    inference(equality_resolution,[],[f977]) ).

fof(f979,plain,
    ! [X3,X4,X5] :
      ( ~ rR(X4,X3,X3)
      | ~ rpoint(X3)
      | ~ rpoint(X4)
      | X3 != X5
      | ~ rpoint(X5) ),
    inference(equality_resolution,[],[f978]) ).

fof(f980,plain,
    ! [X4,X5] :
      ( ~ rR(X4,X5,X5)
      | ~ rpoint(X5)
      | ~ rpoint(X4)
      | ~ rpoint(X5) ),
    inference(equality_resolution,[],[f979]) ).

fof(f1065,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,[],[f569]) ).

fof(f1066,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,[],[f1065]) ).

fof(f1067,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,[],[f1066]) ).

fof(f1068,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,[],[f1067]) ).

fof(f1069,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,[],[f1068]) ).

fof(f1070,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,[],[f1069]) ).

fof(f1071,plain,
    ! [X10,X11,X8,X9,X7,X12,X13] :
      ( ~ rline(X7)
      | 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)
      | vangle(X10,X13,X9) = vangle(X12,X13,X11)
      | ~ rline(X8)
      | ~ rpoint(X9)
      | ~ rpoint(X10)
      | ~ rpoint(X11)
      | ~ rpoint(X12)
      | ~ rpoint(X13) ),
    inference(equality_resolution,[],[f1070]) ).

fof(f1108,plain,
    ! [X3,X0,X1,X4,X5] :
      ( ~ ron(X0,X3)
      | ~ rS(X0,X1,X3)
      | ~ rline(X3)
      | X1 != X4
      | ~ rpoint(X4)
      | X0 != X5
      | ~ rpoint(X5) ),
    inference(equality_resolution,[],[f584]) ).

fof(f1109,plain,
    ! [X3,X0,X4,X5] :
      ( ~ ron(X0,X3)
      | ~ rS(X0,X4,X3)
      | ~ rline(X3)
      | ~ rpoint(X4)
      | X0 != X5
      | ~ rpoint(X5) ),
    inference(equality_resolution,[],[f1108]) ).

fof(f1110,plain,
    ! [X3,X4,X5] :
      ( ~ rS(X5,X4,X3)
      | ~ ron(X5,X3)
      | ~ rline(X3)
      | ~ rpoint(X4)
      | ~ rpoint(X5) ),
    inference(equality_resolution,[],[f1109]) ).

fof(f1572,plain,
    ! [X4,X5] :
      ( ~ rR(X4,X5,X5)
      | ~ rpoint(X5)
      | ~ rpoint(X4) ),
    inference(duplicate_literal_removal,[],[f980]) ).

fof(f1632,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ ron(X2,vd1407)
      | rR(X0,X3,X4)
      | X0 = X2
      | X0 = X4
      | X0 = X1
      | X0 = X3
      | rR(X0,X1,X2)
      | ~ ron(X1,vd1407)
      | ~ ron(X4,X5)
      | ~ ron(X3,X5)
      | ~ ron(X0,X5)
      | vangle(X4,X0,X2) = vangle(X3,X0,X1)
      | ~ rline(X5)
      | ~ rpoint(X2)
      | ~ rpoint(X4)
      | ~ rpoint(X1)
      | ~ rpoint(X3)
      | ~ rpoint(X0) ),
    inference(resolution,[],[f1071,f464]) ).

fof(f1751,plain,
    ! [X2,X0,X1] :
      ( ~ ron(X2,vd1407)
      | ~ ron(X0,vd1407)
      | ~ ron(X2,X1)
      | ~ ron(X0,X1)
      | ~ rline(X1)
      | vd1407 = X1
      | X0 = X2
      | ~ rpoint(X0)
      | ~ rpoint(X2) ),
    inference(resolution,[],[f785,f464]) ).

fof(f1819,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ ron(X3,sK4(X1,X0))
      | ~ rpoint(X0)
      | ~ rpoint(X1)
      | vd684 != vangle(X2,X3,X4)
      | ~ ron(X2,sK4(X1,X0))
      | X0 = X1
      | X3 = X4
      | X2 = X3
      | ~ rR(X3,X2,X4)
      | ~ rpoint(X4)
      | ~ rpoint(X2)
      | ~ rpoint(X3) ),
    inference(resolution,[],[f803,f789]) ).

fof(f1820,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ ron(X4,sK4(X1,X0))
      | ~ rpoint(X0)
      | ~ rpoint(X1)
      | rR(X2,X3,X4)
      | X0 = X1
      | ~ ron(X3,sK4(X1,X0))
      | ~ ron(X2,sK4(X1,X0))
      | X2 = X4
      | X2 = X3
      | vd684 = vangle(X3,X2,X4)
      | ~ rpoint(X4)
      | ~ rpoint(X3)
      | ~ rpoint(X2) ),
    inference(resolution,[],[f803,f797]) ).

fof(f1916,plain,
    ! [X2,X3,X0,X1] :
      ( ~ rpoint(X0)
      | ~ rpoint(X1)
      | vd684 != vangle(X2,X0,X3)
      | ~ ron(X2,sK4(X1,X0))
      | X0 = X1
      | X0 = X3
      | X0 = X2
      | ~ rR(X0,X2,X3)
      | ~ rpoint(X3)
      | ~ rpoint(X2)
      | ~ rpoint(X0)
      | X0 = X1
      | ~ rpoint(X0)
      | ~ rpoint(X1) ),
    inference(resolution,[],[f1819,f799]) ).

fof(f1919,plain,
    ! [X2,X3,X0,X1] :
      ( ~ ron(X2,sK4(X1,X0))
      | ~ rpoint(X1)
      | vd684 != vangle(X2,X0,X3)
      | ~ rpoint(X0)
      | X0 = X1
      | X0 = X3
      | X0 = X2
      | ~ rR(X0,X2,X3)
      | ~ rpoint(X3)
      | ~ rpoint(X2) ),
    inference(duplicate_literal_removal,[],[f1916]) ).

fof(f1921,plain,
    ! [X2,X0,X1] :
      ( ~ rpoint(X0)
      | vangle(X0,X1,X2) != vd684
      | ~ rpoint(X1)
      | X0 = X1
      | X1 = X2
      | X0 = X1
      | ~ rR(X1,X0,X2)
      | ~ rpoint(X2)
      | ~ rpoint(X0)
      | X0 = X1
      | ~ rpoint(X1)
      | ~ rpoint(X0) ),
    inference(resolution,[],[f1919,f801]) ).

fof(f1922,plain,
    ! [X2,X0,X1] :
      ( ~ rR(X1,X0,X2)
      | vangle(X0,X1,X2) != vd684
      | ~ rpoint(X1)
      | X0 = X1
      | X1 = X2
      | ~ rpoint(X0)
      | ~ rpoint(X2) ),
    inference(duplicate_literal_removal,[],[f1921]) ).

fof(f1934,plain,
    ! [X2,X3,X0,X1] :
      ( ~ rpoint(X0)
      | ~ rpoint(X1)
      | rR(X2,X3,X0)
      | X0 = X1
      | ~ ron(X3,sK4(X1,X0))
      | ~ ron(X2,sK4(X1,X0))
      | X0 = X2
      | X2 = X3
      | vd684 = vangle(X3,X2,X0)
      | ~ rpoint(X0)
      | ~ rpoint(X3)
      | ~ rpoint(X2)
      | X0 = X1
      | ~ rpoint(X0)
      | ~ rpoint(X1) ),
    inference(resolution,[],[f1820,f799]) ).

fof(f1937,plain,
    ! [X2,X3,X0,X1] :
      ( ~ ron(X2,sK4(X1,X0))
      | ~ rpoint(X1)
      | rR(X2,X3,X0)
      | X0 = X1
      | ~ ron(X3,sK4(X1,X0))
      | ~ rpoint(X0)
      | X0 = X2
      | X2 = X3
      | vd684 = vangle(X3,X2,X0)
      | ~ rpoint(X3)
      | ~ rpoint(X2) ),
    inference(duplicate_literal_removal,[],[f1934]) ).

fof(f1939,plain,
    ! [X2,X0,X1] :
      ( ~ rpoint(X0)
      | rR(X0,X1,X2)
      | X0 = X2
      | ~ ron(X1,sK4(X0,X2))
      | ~ rpoint(X2)
      | X0 = X2
      | X0 = X1
      | vangle(X1,X0,X2) = vd684
      | ~ rpoint(X1)
      | ~ rpoint(X0)
      | X0 = X2
      | ~ rpoint(X2)
      | ~ rpoint(X0) ),
    inference(resolution,[],[f1937,f801]) ).

fof(f1940,plain,
    ! [X2,X0,X1] :
      ( ~ ron(X1,sK4(X0,X2))
      | rR(X0,X1,X2)
      | X0 = X2
      | ~ rpoint(X0)
      | ~ rpoint(X2)
      | X0 = X1
      | vangle(X1,X0,X2) = vd684
      | ~ rpoint(X1) ),
    inference(duplicate_literal_removal,[],[f1939]) ).

fof(f1946,plain,
    ! [X0,X1] :
      ( rR(X0,X1,X1)
      | X0 = X1
      | ~ rpoint(X0)
      | ~ rpoint(X1)
      | X0 = X1
      | vd684 = vangle(X1,X0,X1)
      | ~ rpoint(X1)
      | X0 = X1
      | ~ rpoint(X1)
      | ~ rpoint(X0) ),
    inference(resolution,[],[f1940,f799]) ).

fof(f1949,plain,
    ! [X0,X1] :
      ( rR(X0,X1,X1)
      | X0 = X1
      | ~ rpoint(X0)
      | ~ rpoint(X1)
      | vd684 = vangle(X1,X0,X1) ),
    inference(duplicate_literal_removal,[],[f1946]) ).

fof(f1950,plain,
    ! [X0,X1] :
      ( ~ rpoint(X1)
      | ~ rpoint(X0)
      | X0 = X1
      | vd684 = vangle(X1,X0,X1) ),
    inference(forward_subsumption_resolution,[],[f1949,f1572]) ).

fof(f1954,plain,
    ! [X0] :
      ( ~ rpoint(X0)
      | sK3 = X0
      | vd684 = vangle(sK3,X0,sK3) ),
    inference(resolution,[],[f1950,f455]) ).

fof(f1982,plain,
    ( sK1 = sK3
    | vd684 = vangle(sK3,sK1,sK3) ),
    inference(resolution,[],[f1954,f459]) ).

fof(f1986,plain,
    vd684 = vangle(sK3,sK1,sK3),
    inference(forward_subsumption_resolution,[],[f1982,f743]) ).

fof(f2298,definition,
    ( spl55_55
  <=> ron(sK1,vd1407) ),
    introduced(definition,[new_symbols(definition,[spl55_55])],[avatar_definition]) ).

fof(f2299,plain,
    ( ~ ron(sK1,vd1407)
    | spl55_55 ),
    inference(avatar_component_clause,[],[f2298]) ).

fof(f2804,plain,
    ( ~ ron(sK1,vd1407)
    | ~ rline(vd1407)
    | ~ rpoint(vd1409)
    | ~ rpoint(sK1) ),
    inference(resolution,[],[f1110,f753]) ).

fof(f3842,definition,
    ( spl55_165
  <=> ron(sK2,vskolem1416) ),
    introduced(definition,[new_symbols(definition,[spl55_165])],[avatar_definition]) ).

fof(f3843,plain,
    ( ~ ron(sK2,vskolem1416)
    | spl55_165 ),
    inference(avatar_component_clause,[],[f3842]) ).

fof(f16496,definition,
    ( spl55_1223
  <=> vd684 = vangle(sK3,sK1,sK2) ),
    introduced(definition,[new_symbols(definition,[spl55_1223])],[avatar_definition]) ).

fof(f16507,plain,
    ! [X2,X3,X0,X1,X4] :
      ( rR(X0,X1,X2)
      | sK2 = X0
      | X0 = X2
      | X0 = X3
      | X0 = X1
      | rR(X0,X3,sK2)
      | ~ ron(X3,vd1407)
      | ~ ron(X2,X4)
      | ~ ron(X1,X4)
      | ~ ron(X0,X4)
      | vangle(X1,X0,X3) = vangle(X2,X0,sK2)
      | ~ rline(X4)
      | ~ rpoint(sK2)
      | ~ rpoint(X2)
      | ~ rpoint(X3)
      | ~ rpoint(X1)
      | ~ rpoint(X0) ),
    inference(resolution,[],[f1632,f740]) ).

fof(f16510,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ ron(X3,vd1407)
      | sK2 = X0
      | X0 = X2
      | X0 = X3
      | X0 = X1
      | rR(X0,X3,sK2)
      | rR(X0,X1,X2)
      | ~ ron(X2,X4)
      | ~ ron(X1,X4)
      | ~ ron(X0,X4)
      | vangle(X1,X0,X3) = vangle(X2,X0,sK2)
      | ~ rline(X4)
      | ~ rpoint(X2)
      | ~ rpoint(X3)
      | ~ rpoint(X1)
      | ~ rpoint(X0) ),
    inference(forward_subsumption_resolution,[],[f16507,f457]) ).

fof(f16524,plain,
    ! [X0,X1] :
      ( ~ ron(X0,vd1407)
      | ~ ron(sK2,X1)
      | ~ ron(X0,X1)
      | ~ rline(X1)
      | vd1407 = X1
      | sK2 = X0
      | ~ rpoint(X0)
      | ~ rpoint(sK2) ),
    inference(resolution,[],[f1751,f740]) ).

fof(f16527,plain,
    ! [X0,X1] :
      ( ~ ron(X0,vd1407)
      | ~ ron(sK2,X1)
      | ~ ron(X0,X1)
      | ~ rline(X1)
      | vd1407 = X1
      | sK2 = X0
      | ~ rpoint(X0) ),
    inference(forward_subsumption_resolution,[],[f16524,f457]) ).

fof(f16529,plain,
    ! [X2,X3,X0,X1] :
      ( sK2 = X0
      | X0 = X1
      | sK3 = X0
      | X0 = X2
      | rR(X0,sK3,sK2)
      | rR(X0,X2,X1)
      | ~ ron(X1,X3)
      | ~ ron(X2,X3)
      | ~ ron(X0,X3)
      | vangle(X2,X0,sK3) = vangle(X1,X0,sK2)
      | ~ rline(X3)
      | ~ rpoint(X1)
      | ~ rpoint(sK3)
      | ~ rpoint(X2)
      | ~ rpoint(X0) ),
    inference(resolution,[],[f16510,f741]) ).

fof(f16531,plain,
    ! [X2,X3,X0,X1] :
      ( ~ rline(X3)
      | X0 = X1
      | sK3 = X0
      | X0 = X2
      | rR(X0,sK3,sK2)
      | rR(X0,X2,X1)
      | ~ ron(X1,X3)
      | ~ ron(X2,X3)
      | ~ ron(X0,X3)
      | vangle(X2,X0,sK3) = vangle(X1,X0,sK2)
      | sK2 = X0
      | ~ rpoint(X1)
      | ~ rpoint(X2)
      | ~ rpoint(X0) ),
    inference(forward_subsumption_resolution,[],[f16529,f455]) ).

fof(f16585,plain,
    ! [X2,X0,X1] :
      ( ~ ron(X1,vskolem1416)
      | sK3 = X0
      | X0 = X2
      | rR(X0,sK3,sK2)
      | rR(X0,X2,X1)
      | X0 = X1
      | ~ ron(X2,vskolem1416)
      | ~ ron(X0,vskolem1416)
      | vangle(X2,X0,sK3) = vangle(X1,X0,sK2)
      | sK2 = X0
      | ~ rpoint(X1)
      | ~ rpoint(X2)
      | ~ rpoint(X0) ),
    inference(resolution,[],[f16531,f471]) ).

fof(f16668,plain,
    ! [X0,X1] :
      ( sK3 = X0
      | X0 = X1
      | rR(X0,sK3,sK2)
      | rR(X0,X1,sK3)
      | sK3 = X0
      | ~ ron(X1,vskolem1416)
      | ~ ron(X0,vskolem1416)
      | vangle(X1,X0,sK3) = vangle(sK3,X0,sK2)
      | sK2 = X0
      | ~ rpoint(sK3)
      | ~ rpoint(X1)
      | ~ rpoint(X0) ),
    inference(resolution,[],[f16585,f746]) ).

fof(f16669,plain,
    ! [X0,X1] :
      ( sK3 = X0
      | X0 = X1
      | rR(X0,sK3,sK2)
      | rR(X0,X1,sK3)
      | ~ ron(X1,vskolem1416)
      | ~ ron(X0,vskolem1416)
      | vangle(X1,X0,sK3) = vangle(sK3,X0,sK2)
      | sK2 = X0
      | ~ rpoint(sK3)
      | ~ rpoint(X1)
      | ~ rpoint(X0) ),
    inference(duplicate_literal_removal,[],[f16668]) ).

fof(f16670,plain,
    ! [X0,X1] :
      ( ~ ron(X1,vskolem1416)
      | X0 = X1
      | rR(X0,sK3,sK2)
      | rR(X0,X1,sK3)
      | sK3 = X0
      | ~ ron(X0,vskolem1416)
      | vangle(X1,X0,sK3) = vangle(sK3,X0,sK2)
      | sK2 = X0
      | ~ rpoint(X1)
      | ~ rpoint(X0) ),
    inference(forward_subsumption_resolution,[],[f16669,f455]) ).

fof(f16871,plain,
    ! [X0] :
      ( ~ ron(sK2,X0)
      | ~ ron(sK3,X0)
      | ~ rline(X0)
      | vd1407 = X0
      | sK2 = sK3
      | ~ rpoint(sK3) ),
    inference(resolution,[],[f16527,f741]) ).

fof(f16873,plain,
    ! [X0] :
      ( ~ ron(sK2,X0)
      | ~ ron(sK3,X0)
      | ~ rline(X0)
      | vd1407 = X0
      | ~ rpoint(sK3) ),
    inference(forward_subsumption_resolution,[],[f16871,f744]) ).

fof(f16874,plain,
    ! [X0] :
      ( ~ rline(X0)
      | ~ ron(sK3,X0)
      | ~ ron(sK2,X0)
      | vd1407 = X0 ),
    inference(forward_subsumption_resolution,[],[f16873,f455]) ).

fof(f16877,plain,
    ( ~ ron(sK3,vskolem1416)
    | ~ ron(sK2,vskolem1416)
    | vd1407 = vskolem1416 ),
    inference(resolution,[],[f16874,f471]) ).

fof(f17086,plain,
    ! [X0] :
      ( sK3 = X0
      | rR(X0,sK3,sK2)
      | rR(X0,sK3,sK3)
      | sK3 = X0
      | ~ ron(X0,vskolem1416)
      | vangle(sK3,X0,sK3) = vangle(sK3,X0,sK2)
      | sK2 = X0
      | ~ rpoint(sK3)
      | ~ rpoint(X0) ),
    inference(resolution,[],[f16670,f746]) ).

fof(f17087,plain,
    ! [X0] :
      ( sK3 = X0
      | rR(X0,sK3,sK2)
      | rR(X0,sK3,sK3)
      | ~ ron(X0,vskolem1416)
      | vangle(sK3,X0,sK3) = vangle(sK3,X0,sK2)
      | sK2 = X0
      | ~ rpoint(sK3)
      | ~ rpoint(X0) ),
    inference(duplicate_literal_removal,[],[f17086]) ).

fof(f17088,plain,
    ! [X0] :
      ( ~ ron(X0,vskolem1416)
      | rR(X0,sK3,sK2)
      | rR(X0,sK3,sK3)
      | sK3 = X0
      | vangle(sK3,X0,sK3) = vangle(sK3,X0,sK2)
      | sK2 = X0
      | ~ rpoint(X0) ),
    inference(forward_subsumption_resolution,[],[f17087,f455]) ).

fof(f17286,plain,
    ( ~ ron(sK1,vd1407)
    | ~ rpoint(vd1409)
    | ~ rpoint(sK1) ),
    inference(forward_subsumption_resolution,[],[f2804,f464]) ).

fof(f17291,plain,
    ( ~ ron(sK1,vd1407)
    | ~ rpoint(sK1) ),
    inference(forward_subsumption_resolution,[],[f17286,f454]) ).

fof(f17301,definition,
    ( spl55_1248
  <=> vd1407 = vskolem1416 ),
    introduced(definition,[new_symbols(definition,[spl55_1248])],[avatar_definition]) ).

fof(f17302,plain,
    ( vd1407 = vskolem1416
    | ~ spl55_1248 ),
    inference(avatar_component_clause,[],[f17301]) ).

fof(f17305,plain,
    ~ ron(sK1,vd1407),
    inference(forward_subsumption_resolution,[],[f17291,f459]) ).

fof(f17307,plain,
    ~ spl55_55,
    inference(avatar_split_clause,[],[f17305,f2298]) ).

fof(f17432,plain,
    ( rR(sK1,sK3,sK2)
    | rR(sK1,sK3,sK3)
    | sK1 = sK3
    | vangle(sK3,sK1,sK2) = vangle(sK3,sK1,sK3)
    | sK1 = sK2
    | ~ rpoint(sK1) ),
    inference(resolution,[],[f17088,f747]) ).

fof(f17434,plain,
    ( rR(sK1,sK3,sK2)
    | rR(sK1,sK3,sK3)
    | vangle(sK3,sK1,sK2) = vangle(sK3,sK1,sK3)
    | sK1 = sK2
    | ~ rpoint(sK1) ),
    inference(forward_subsumption_resolution,[],[f17432,f743]) ).

fof(f17435,plain,
    ( rR(sK1,sK3,sK2)
    | rR(sK1,sK3,sK3)
    | vangle(sK3,sK1,sK2) = vangle(sK3,sK1,sK3)
    | ~ rpoint(sK1) ),
    inference(forward_subsumption_resolution,[],[f17434,f742]) ).

fof(f17436,plain,
    ( rR(sK1,sK3,sK2)
    | rR(sK1,sK3,sK3)
    | vangle(sK3,sK1,sK2) = vangle(sK3,sK1,sK3) ),
    inference(forward_subsumption_resolution,[],[f17435,f459]) ).

fof(f17437,plain,
    ( vd684 = vangle(sK3,sK1,sK2)
    | rR(sK1,sK3,sK2)
    | rR(sK1,sK3,sK3) ),
    inference(forward_demodulation,[],[f17436,f1986]) ).

fof(f17440,definition,
    ( spl55_1253
  <=> rR(sK1,sK3,sK3) ),
    introduced(definition,[new_symbols(definition,[spl55_1253])],[avatar_definition]) ).

fof(f17441,plain,
    ( rR(sK1,sK3,sK3)
    | ~ spl55_1253 ),
    inference(avatar_component_clause,[],[f17440]) ).

fof(f17443,definition,
    ( spl55_1254
  <=> rR(sK1,sK3,sK2) ),
    introduced(definition,[new_symbols(definition,[spl55_1254])],[avatar_definition]) ).

fof(f17444,plain,
    ( rR(sK1,sK3,sK2)
    | ~ spl55_1254 ),
    inference(avatar_component_clause,[],[f17443]) ).

fof(f17447,plain,
    ( $false
    | spl55_55
    | ~ spl55_1254 ),
    inference(unit_resulting_resolution,[],[f973,f455,f459,f457,f464,f2299,f741,f740,f17444]) ).

fof(f17457,plain,
    ( spl55_55
    | ~ spl55_1254 ),
    inference(avatar_contradiction_clause,[],[f17447]) ).

fof(f17484,plain,
    ( vd684 = vangle(sK3,sK1,sK2)
    | ~ spl55_1223 ),
    inference(avatar_component_clause,[],[f16496]) ).

fof(f17485,plain,
    ( spl55_1253
    | spl55_1254
    | spl55_1223 ),
    inference(avatar_split_clause,[],[f17437,f16496,f17443,f17440]) ).

fof(f17486,plain,
    ( $false
    | spl55_165
    | ~ spl55_1223 ),
    inference(unit_resulting_resolution,[],[f793,f459,f455,f457,f471,f746,f3843,f747,f743,f742,f17484]) ).

fof(f17493,plain,
    ( spl55_165
    | ~ spl55_1223 ),
    inference(avatar_contradiction_clause,[],[f17486]) ).

fof(f17506,plain,
    ( ~ ron(sK2,vskolem1416)
    | vd1407 = vskolem1416 ),
    inference(forward_subsumption_resolution,[],[f16877,f746]) ).

fof(f17508,plain,
    ( spl55_1248
    | ~ spl55_165 ),
    inference(avatar_split_clause,[],[f17506,f3842,f17301]) ).

fof(f17519,plain,
    ( ron(sK1,vd1407)
    | ~ spl55_1248 ),
    inference(superposition,[],[f747,f17302]) ).

fof(f17580,plain,
    ( $false
    | spl55_55
    | ~ spl55_1248 ),
    inference(forward_subsumption_resolution,[],[f17519,f2299]) ).

fof(f17581,plain,
    ( spl55_55
    | ~ spl55_1248 ),
    inference(avatar_contradiction_clause,[],[f17580]) ).

fof(f17596,plain,
    ( vd684 != vangle(sK3,sK1,sK3)
    | ~ rpoint(sK1)
    | sK1 = sK3
    | sK1 = sK3
    | ~ rpoint(sK3)
    | ~ rpoint(sK3)
    | ~ spl55_1253 ),
    inference(resolution,[],[f17441,f1922]) ).

fof(f17598,plain,
    ( vd684 != vangle(sK3,sK1,sK3)
    | ~ rpoint(sK1)
    | sK1 = sK3
    | ~ rpoint(sK3)
    | ~ spl55_1253 ),
    inference(duplicate_literal_removal,[],[f17596]) ).

fof(f17613,plain,
    ( ~ rpoint(sK1)
    | sK1 = sK3
    | ~ rpoint(sK3)
    | ~ spl55_1253 ),
    inference(forward_subsumption_resolution,[],[f17598,f1950]) ).

fof(f17621,plain,
    ( sK1 = sK3
    | ~ rpoint(sK3)
    | ~ spl55_1253 ),
    inference(forward_subsumption_resolution,[],[f17613,f459]) ).

fof(f17627,plain,
    ( ~ rpoint(sK3)
    | ~ spl55_1253 ),
    inference(forward_subsumption_resolution,[],[f17621,f743]) ).

fof(f17632,plain,
    ( $false
    | ~ spl55_1253 ),
    inference(forward_subsumption_resolution,[],[f17627,f455]) ).

fof(f17633,plain,
    ~ spl55_1253,
    inference(avatar_contradiction_clause,[],[f17632]) ).

cnf(s1539,plain,
    ~ spl55_55,
    inference(sat_conversion,[],[f17307]) ).

cnf(s1552,plain,
    ( spl55_55
    | ~ spl55_1254 ),
    inference(sat_conversion,[],[f17457]) ).

cnf(s1555,plain,
    ( spl55_1223
    | spl55_1253
    | spl55_1254 ),
    inference(sat_conversion,[],[f17485]) ).

cnf(s1556,plain,
    ( spl55_165
    | ~ spl55_1223 ),
    inference(sat_conversion,[],[f17493]) ).

cnf(s1558,plain,
    ( ~ spl55_165
    | spl55_1248 ),
    inference(sat_conversion,[],[f17508]) ).

cnf(s1560,plain,
    ( spl55_55
    | ~ spl55_1248 ),
    inference(sat_conversion,[],[f17581]) ).

cnf(s1570,plain,
    ~ spl55_1253,
    inference(sat_conversion,[],[f17633]) ).

cnf(s1571,plain,
    ( spl55_1223
    | spl55_1254 ),
    inference(rat,[],[s1555,s1570]) ).

cnf(s1574,plain,
    ~ spl55_1248,
    inference(rat,[],[s1560,s1539]) ).

cnf(s1575,plain,
    ~ spl55_1254,
    inference(rat,[],[s1552,s1539]) ).

cnf(s1578,plain,
    ~ spl55_165,
    inference(rat,[],[s1558,s1574]) ).

cnf(s1579,plain,
    spl55_1223,
    inference(rat,[],[s1571,s1575]) ).

cnf(s1580,plain,
    $false,
    inference(rat,[],[s1556,s1579,s1578]) ).

fof(f17638,plain,
    $false,
    inference(avatar_sat_refutation,[],[s1580]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : GEO346+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.37  % Computer : n009.cluster.edu
% 0.10/0.37  % Model    : x86_64 x86_64
% 0.10/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37  % Memory   : 8046.5625MB
% 0.10/0.37  % OS       : Linux 6.8.0-71-generic
% 0.10/0.37  % CPULimit : 300
% 0.10/0.37  % WCLimit  : 300
% 0.10/0.37  % DateTime : Sun Sep 27 08:08:45 UTC 2026
% 0.10/0.38  % CPUTime  : 
% 0.10/0.38  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.41  Running first-order theorem proving
% 0.10/0.41  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
% 12.81/2.74  % (1711717)Detected formulas, will run a generic FOF schedule.
% 12.81/2.74  % (1711722)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=4066089110:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 12.81/2.74  % (1711723)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=2445308824:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 12.81/2.74  % (1711726)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3980467374:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 12.81/2.74  % (1711725)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2081465937:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 12.81/2.74  % (1711727)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=128195274:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 12.81/2.74  % (1711724)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=440825160:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 12.81/2.74  % (1711725)Refutation not found, incomplete strategy
% 12.81/2.74  % (1711725)------------------------------
% 12.81/2.74  % (1711725)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.81/2.74  % (1711725)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.81/2.74  % (1711725)CaDiCaL version: 2.1.3
% 12.81/2.74  % (1711725)Termination reason: Refutation not found, incomplete strategy
% 12.81/2.74  % (1711725)Time elapsed: 0.008 s
% 12.81/2.74  % (1711725)Peak memory usage: 88 MB
% 12.81/2.74  % (1711725)Instructions burned: 13 (million)
% 12.81/2.74  % (1711728)dis-21_1_sil=8000:lcm=predicate:random_seed=1235442635: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)
% 12.81/2.74  % (1711726)Instruction limit reached! 
% 12.81/2.74  % (1711726)------------------------------
% 12.81/2.74  % (1711726)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.81/2.74  % (1711726)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.81/2.74  % (1711726)CaDiCaL version: 2.1.3
% 12.81/2.74  % (1711726)Termination reason: Instruction limit
% 12.81/2.74  % (1711726)Termination phase: Saturation
% 12.81/2.74  % (1711726)Time elapsed: 0.053 s
% 12.81/2.74  % (1711726)Peak memory usage: 88 MB
% 12.81/2.74  % (1711726)Instructions burned: 120 (million)
% 12.81/2.74  % (1711728)Instruction limit reached! 
% 12.81/2.74  % (1711728)------------------------------
% 12.81/2.74  % (1711728)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.81/2.74  % (1711728)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.81/2.74  % (1711728)CaDiCaL version: 2.1.3
% 12.81/2.74  % (1711728)Termination reason: Instruction limit
% 12.81/2.74  % (1711728)Termination phase: Saturation
% 12.81/2.74  % (1711728)Time elapsed: 0.069 s
% 12.81/2.74  % (1711728)Peak memory usage: 90 MB
% 12.81/2.74  % (1711728)Instructions burned: 130 (million)
% 12.81/2.74  % (1711727)Instruction limit reached! 
% 12.81/2.74  % (1711727)------------------------------
% 12.81/2.74  % (1711727)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.81/2.74  % (1711727)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.81/2.74  % (1711727)CaDiCaL version: 2.1.3
% 12.81/2.74  % (1711727)Termination reason: Instruction limit
% 12.81/2.74  % (1711727)Termination phase: Saturation
% 12.81/2.74  % (1711727)Time elapsed: 0.086 s
% 12.81/2.74  % (1711727)Peak memory usage: 90 MB
% 12.81/2.74  % (1711727)Instructions burned: 140 (million)
% 12.81/2.74  % (1711736)lrs+10_1_sil=8000:sp=occurrence:random_seed=1309585856:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 12.81/2.74  % (1711737)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2815027654:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 12.81/2.74  % (1711725)------------------------------
% 12.81/2.74  % (1711725)------------------------------
% 12.81/2.74  % (1711738)lrs+1011_1_sil=32000:sp=occurrence:random_seed=880080537:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 12.81/2.74  % (1711737)Instruction limit reached! 
% 12.81/2.74  % (1711737)------------------------------
% 12.81/2.74  % (1711737)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.21/3.70  % (1711737)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.21/3.70  % (1711737)CaDiCaL version: 2.1.3
% 14.21/3.70  % (1711737)Termination reason: Instruction limit
% 14.21/3.70  % (1711737)Termination phase: Saturation
% 14.21/3.70  % (1711737)Time elapsed: 0.077 s
% 14.21/3.70  % (1711737)Peak memory usage: 90 MB
% 14.21/3.70  % (1711737)Instructions burned: 159 (million)
% 14.21/3.70  % (1711736)Instruction limit reached! 
% 14.21/3.70  % (1711736)------------------------------
% 14.21/3.70  % (1711736)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.21/3.70  % (1711736)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.21/3.70  % (1711736)CaDiCaL version: 2.1.3
% 14.21/3.70  % (1711736)Termination reason: Instruction limit
% 14.21/3.70  % (1711736)Termination phase: Saturation
% 14.21/3.70  % (1711736)Time elapsed: 0.151 s
% 14.21/3.70  % (1711736)Peak memory usage: 91 MB
% 14.21/3.70  % (1711736)Instructions burned: 286 (million)
% 14.21/3.70  % (1711742)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=3794331517:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 14.21/3.70  % (1711738)Instruction limit reached! 
% 14.21/3.70  % (1711738)------------------------------
% 14.21/3.70  % (1711738)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.21/3.70  % (1711738)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.21/3.70  % (1711738)CaDiCaL version: 2.1.3
% 14.21/3.70  % (1711738)Termination reason: Instruction limit
% 14.21/3.70  % (1711738)Termination phase: Saturation
% 14.21/3.70  % (1711738)Time elapsed: 0.182 s
% 14.21/3.70  % (1711738)Peak memory usage: 91 MB
% 14.21/3.70  % (1711738)Instructions burned: 326 (million)
% 14.21/3.70  % (1711743)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1118946962:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 14.21/3.70  % (1711744)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=831739360:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 14.21/3.70  % (1711742)Instruction limit reached! 
% 14.21/3.70  % (1711742)------------------------------
% 14.21/3.70  % (1711742)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.21/3.70  % (1711742)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.21/3.70  % (1711742)CaDiCaL version: 2.1.3
% 14.21/3.70  % (1711742)Termination reason: Instruction limit
% 14.21/3.70  % (1711742)Termination phase: Saturation
% 14.21/3.70  % (1711742)Time elapsed: 0.121 s
% 14.21/3.70  % (1711742)Peak memory usage: 90 MB
% 14.21/3.70  % (1711742)Instructions burned: 248 (million)
% 14.21/3.70  % (1711746)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3469713039:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 14.21/3.70  % (1711743)Instruction limit reached! 
% 14.21/3.70  % (1711743)------------------------------
% 14.21/3.70  % (1711743)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.21/3.70  % (1711743)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.21/3.70  % (1711743)CaDiCaL version: 2.1.3
% 14.21/3.70  % (1711743)Termination reason: Instruction limit
% 14.21/3.70  % (1711743)Termination phase: Saturation
% 14.21/3.70  % (1711743)Time elapsed: 0.147 s
% 14.21/3.70  % (1711743)Peak memory usage: 90 MB
% 14.21/3.70  % (1711743)Instructions burned: 294 (million)
% 14.21/3.70  % (1711746)Instruction limit reached! 
% 14.21/3.70  % (1711746)------------------------------
% 14.21/3.70  % (1711746)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.21/3.70  % (1711746)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.21/3.70  % (1711746)CaDiCaL version: 2.1.3
% 14.21/3.70  % (1711746)Termination reason: Instruction limit
% 14.21/3.70  % (1711746)Termination phase: Saturation
% 14.21/3.70  % (1711746)Time elapsed: 0.059 s
% 14.21/3.70  % (1711746)Peak memory usage: 90 MB
% 14.21/3.70  % (1711746)Instructions burned: 115 (million)
% 14.21/3.70  % (1711749)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3772988509:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 14.21/3.70  % (1711749)Instruction limit reached! 
% 14.21/3.70  % (1711749)------------------------------
% 14.21/3.70  % (1711749)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.21/3.70  % (1711749)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.21/3.70  % (1711749)CaDiCaL version: 2.1.3
% 14.21/3.70  % (1711749)Termination reason: Instruction limit
% 14.21/3.70  % (1711749)Termination phase: Saturation
% 14.21/3.70  % (1711749)Time elapsed: 0.061 s
% 14.21/3.70  % (1711749)Peak memory usage: 88 MB
% 14.21/3.70  % (1711749)Instructions burned: 127 (million)
% 14.21/3.70  % (1711751)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3013452558:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 14.21/3.70  % (1711751)Instruction limit reached! 
% 14.21/3.70  % (1711751)------------------------------
% 14.21/3.70  % (1711751)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.21/3.70  % (1711751)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.21/3.70  % (1711751)CaDiCaL version: 2.1.3
% 14.21/3.70  % (1711751)Termination reason: Instruction limit
% 14.21/3.70  % (1711751)Termination phase: Saturation
% 14.21/3.70  % (1711751)Time elapsed: 0.047 s
% 14.21/3.70  % (1711751)Peak memory usage: 89 MB
% 14.21/3.70  % (1711751)Instructions burned: 116 (million)
% 14.21/3.70  % (1711752)lrs+10_1_sil=8000:sp=occurrence:random_seed=4106619749:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 14.21/3.70  % (1711754)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=704770482:i=437:sd=1:aac=none:ss=included_2990 on theBenchmark for (2990ds/437Mi)
% 14.21/3.70  % (1711754)Refutation not found, incomplete strategy
% 14.21/3.70  % (1711754)------------------------------
% 14.21/3.70  % (1711754)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.21/3.70  % (1711754)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.21/3.70  % (1711754)CaDiCaL version: 2.1.3
% 14.21/3.70  % (1711754)Termination reason: Refutation not found, incomplete strategy
% 14.21/3.70  % (1711754)Time elapsed: 0.020 s
% 14.21/3.70  % (1711754)Peak memory usage: 89 MB
% 14.21/3.70  % (1711754)Instructions burned: 36 (million)
% 14.21/3.70  % (1711756)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3780847038:i=5202:ss=axioms:sgt=16_2990 on theBenchmark for (2990ds/5202Mi)
% 14.21/3.70  % (1711754)------------------------------
% 14.21/3.70  % (1711754)------------------------------
% 14.21/3.70  % (1711752)Instruction limit reached! 
% 14.21/3.70  % (1711752)------------------------------
% 14.21/3.70  % (1711752)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.21/3.70  % (1711752)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.21/3.70  % (1711752)CaDiCaL version: 2.1.3
% 14.21/3.70  % (1711752)Termination reason: Instruction limit
% 14.21/3.70  % (1711752)Termination phase: Saturation
% 14.21/3.70  % (1711752)Time elapsed: 0.479 s
% 14.21/3.70  % (1711752)Peak memory usage: 98 MB
% 14.21/3.70  % (1711752)Instructions burned: 908 (million)
% 14.21/3.70  % (1711760)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2840594005:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2986 on theBenchmark for (2986ds/134Mi)
% 14.21/3.70  % (1711760)Instruction limit reached! 
% 14.21/3.70  % (1711760)------------------------------
% 14.21/3.70  % (1711760)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.21/3.70  % (1711760)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.21/3.70  % (1711760)CaDiCaL version: 2.1.3
% 14.21/3.70  % (1711760)Termination reason: Instruction limit
% 14.21/3.70  % (1711760)Termination phase: Saturation
% 14.21/3.70  % (1711760)Time elapsed: 0.067 s
% 14.21/3.70  % (1711760)Peak memory usage: 93 MB
% 14.21/3.70  % (1711760)Instructions burned: 135 (million)
% 14.21/3.70  % (1711761)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=2301782297:st=8:i=592:sd=3:ep=RST:ss=axioms_2985 on theBenchmark for (2985ds/592Mi)
% 14.21/3.70  % (1711761)Refutation not found, incomplete strategy
% 14.21/3.70  % (1711761)------------------------------
% 14.21/3.70  % (1711761)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.21/3.70  % (1711761)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.21/3.70  % (1711761)CaDiCaL version: 2.1.3
% 14.21/3.70  % (1711761)Termination reason: Refutation not found, incomplete strategy
% 14.21/3.70  % (1711761)Time elapsed: 0.018 s
% 14.21/3.70  % (1711761)Peak memory usage: 89 MB
% 14.21/3.70  % (1711761)Instructions burned: 34 (million)
% 14.21/3.70  % (1711763)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=1072080103:st=3:i=13193:sd=3:ss=axioms_2984 on theBenchmark for (2984ds/13193Mi)
% 14.21/3.70  % (1711761)------------------------------
% 14.21/3.70  % (1711761)------------------------------
% 14.21/3.70  % (1711766)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=1179485103:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2981 on theBenchmark for (2981ds/125Mi)
% 14.21/3.70  % (1711766)Instruction limit reached! 
% 14.21/3.70  % (1711766)------------------------------
% 14.21/3.70  % (1711766)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.21/3.70  % (1711766)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.21/3.70  % (1711766)CaDiCaL version: 2.1.3
% 14.21/3.70  % (1711766)Termination reason: Instruction limit
% 14.21/3.70  % (1711766)Termination phase: Saturation
% 14.21/3.70  % (1711766)Time elapsed: 0.066 s
% 14.21/3.70  % (1711766)Peak memory usage: 91 MB
% 14.21/3.70  % (1711766)Instructions burned: 126 (million)
% 14.21/3.70  % (1711744)Instruction limit reached! 
% 14.21/3.70  % (1711744)------------------------------
% 14.21/3.70  % (1711744)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.21/3.70  % (1711744)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.21/3.70  % (1711744)CaDiCaL version: 2.1.3
% 14.21/3.70  % (1711744)Termination reason: Instruction limit
% 14.21/3.70  % (1711744)Termination phase: Saturation
% 14.21/3.70  % (1711744)Time elapsed: 1.462 s
% 14.21/3.70  % (1711744)Peak memory usage: 140 MB
% 14.21/3.70  % (1711744)Instructions burned: 2350 (million)
% 14.21/3.70  % (1711768)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=248193085:i=134:gtgl=5:slsql=off:gtg=exists_sym_2978 on theBenchmark for (2978ds/134Mi)
% 14.21/3.70  % (1711769)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=2087619064:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2978 on theBenchmark for (2978ds/141Mi)
% 14.21/3.70  % (1711769)Refutation not found, incomplete strategy
% 14.21/3.70  % (1711769)------------------------------
% 14.21/3.70  % (1711769)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.21/3.70  % (1711769)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.21/3.70  % (1711769)CaDiCaL version: 2.1.3
% 14.21/3.70  % (1711769)Termination reason: Refutation not found, incomplete strategy
% 14.21/3.70  % (1711769)Time elapsed: 0.013 s
% 14.21/3.70  % (1711769)Peak memory usage: 89 MB
% 14.21/3.70  % (1711769)Instructions burned: 26 (million)
% 14.21/3.70  % (1711768)Instruction limit reached! 
% 14.21/3.70  % (1711768)------------------------------
% 14.21/3.70  % (1711768)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.21/3.70  % (1711768)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.21/3.70  % (1711768)CaDiCaL version: 2.1.3
% 14.21/3.70  % (1711768)Termination reason: Instruction limit
% 14.21/3.70  % (1711768)Termination phase: Saturation
% 14.21/3.70  % (1711768)Time elapsed: 0.078 s
% 14.21/3.70  % (1711768)Peak memory usage: 91 MB
% 14.21/3.70  % (1711768)Instructions burned: 135 (million)
% 14.21/3.70  % (1711772)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=4102385549:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2976 on theBenchmark for (2976ds/431Mi)
% 14.21/3.70  % (1711772)Refutation not found, incomplete strategy
% 14.21/3.70  % (1711772)------------------------------
% 14.21/3.70  % (1711772)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.21/3.70  % (1711772)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.21/3.70  % (1711772)CaDiCaL version: 2.1.3
% 14.21/3.70  % (1711772)Termination reason: Refutation not found, incomplete strategy
% 14.21/3.70  % (1711772)Time elapsed: 0.011 s
% 14.21/3.70  % (1711772)Peak memory usage: 88 MB
% 14.21/3.70  % (1711772)Instructions burned: 10 (million)
% 14.21/3.70  % (1711723)First to succeed.
% 14.21/3.70  % (1711769)------------------------------
% 14.21/3.70  % (1711769)------------------------------
% 14.21/3.70  % (1711723)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1711717"
% 14.21/3.70  % (1711722)Also succeeded, but the first one will report.
% 14.21/3.70  % (1711774)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=3407044906:i=6060:aac=none:ins=25_2974 on theBenchmark for (2974ds/6060Mi)
% 14.21/3.70  % (1711772)------------------------------
% 14.21/3.70  % (1711772)------------------------------
% 14.21/3.70  % (1711723)Refutation found. Thanks to Tanya!
% 14.21/3.70  % SZS status ContradictoryAxioms for theBenchmark
% 14.21/3.70  % SZS output start Proof for theBenchmark
% See solution above
% 0.17/3.90  % (1711723)------------------------------
% 0.17/3.90  % (1711723)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/3.90  % (1711723)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/3.90  % (1711723)CaDiCaL version: 2.1.3
% 0.17/3.90  % (1711723)Termination reason: Refutation
% 0.17/3.90  % (1711723)Time elapsed: 2.398 s
% 0.17/3.90  % (1711723)Peak memory usage: 151 MB
% 0.17/3.90  % (1711723)Instructions burned: 3826 (million)
% 0.17/3.90  % (1711723)------------------------------
% 0.17/3.90  % (1711723)------------------------------
% 0.17/3.90  % (1711717)Success in time 2.849 s
% 0.17/3.90  % Vampire exiting
%------------------------------------------------------------------------------