TSTP Solution File: GEO336+1 by iProver---3.8

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%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : GEO336+1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n017.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Aug 30 23:11:03 EDT 2023

% Result   : Theorem 235.47s 31.85s
% Output   : CNFRefutation 235.47s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named f669)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ? [X0] :
      ( rpoint(X0)
      & rR(X0,vd1361,vd1363)
      & vf(vd1363,X0) = vf(vd1361,vd1362) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qe(396)') ).

fof(f2,negated_conjecture,
    ~ ? [X0] :
        ( rpoint(X0)
        & rR(X0,vd1361,vd1363)
        & vf(vd1363,X0) = vf(vd1361,vd1362) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f4,axiom,
    ~ rless(vf(vd1361,vd1363),vf(vd1361,vd1362)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','neg(389)') ).

fof(f11,axiom,
    ? [X23] :
      ( rpoint(X23)
      & vd1362 = X23 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qe(s2(plural(386)))') ).

fof(f46,axiom,
    ? [X182] :
      ( rpoint(X182)
      & vd1363 = X182 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qe(s3(plural(386)))') ).

fof(f47,axiom,
    ? [X183] :
      ( rpoint(X183)
      & vd1361 = X183 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qe(s1(plural(386)))') ).

fof(f133,plain,
    ? [X0] :
      ( rpoint(X0)
      & vd1362 = X0 ),
    inference(rectify,[],[f11]) ).

fof(f162,plain,
    ? [X0] :
      ( rpoint(X0)
      & vd1363 = X0 ),
    inference(rectify,[],[f46]) ).

fof(f163,plain,
    ? [X0] :
      ( rpoint(X0)
      & vd1361 = X0 ),
    inference(rectify,[],[f47]) ).

fof(f247,plain,
    ! [X0] :
      ( ~ rpoint(X0)
      | ~ rR(X0,vd1361,vd1363)
      | vf(vd1363,X0) != vf(vd1361,vd1362) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f466,plain,
    ( ? [X0] :
        ( rpoint(X0)
        & vd1362 = X0 )
   => ( rpoint(sK1)
      & vd1362 = sK1 ) ),
    introduced(choice_axiom,[]) ).

fof(f467,plain,
    ( rpoint(sK1)
    & vd1362 = sK1 ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f133,f466]) ).

fof(f490,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( rreal(X2)
          & vf(X0,X1) = X2 )
     => ( rreal(sK9(X0,X1))
        & vf(X0,X1) = sK9(X0,X1) ) ),
    introduced(choice_axiom,[]) ).

fof(f492,plain,
    ( ? [X0] :
        ( rpoint(X0)
        & vd1363 = X0 )
   => ( rpoint(sK10)
      & vd1363 = sK10 ) ),
    introduced(choice_axiom,[]) ).

fof(f493,plain,
    ( rpoint(sK10)
    & vd1363 = sK10 ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK10])],[f162,f492]) ).

fof(f494,plain,
    ( ? [X0] :
        ( rpoint(X0)
        & vd1361 = X0 )
   => ( rpoint(sK11)
      & vd1361 = sK11 ) ),
    introduced(choice_axiom,[]) ).

fof(f495,plain,
    ( rpoint(sK11)
    & vd1361 = sK11 ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f163,f494]) ).

fof(f589,plain,
    ! [X0] :
      ( ~ rpoint(X0)
      | ~ rR(X0,vd1361,vd1363)
      | vf(vd1363,X0) != vf(vd1361,vd1362) ),
    inference(cnf_transformation,[],[f247]) ).

fof(f591,plain,
    ~ rless(vf(vd1361,vd1363),vf(vd1361,vd1362)),
    inference(cnf_transformation,[],[f4]) ).

fof(f600,plain,
    vd1362 = sK1,
    inference(cnf_transformation,[],[f467]) ).

fof(f601,plain,
    rpoint(sK1),
    inference(cnf_transformation,[],[f467]) ).

fof(f666,plain,
    vd1363 = sK10,
    inference(cnf_transformation,[],[f493]) ).

fof(f667,plain,
    rpoint(sK10),
    inference(cnf_transformation,[],[f493]) ).

fof(f668,plain,
    vd1361 = sK11,
    inference(cnf_transformation,[],[f495]) ).

fof(f3,axiom,
    rless(vf(vd1361,vd1362),vf(vd1361,vd1363)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(395, 1377, 0)') ).

fof(f850,plain,
    ! [X0] :
      ( ~ rpoint(X0)
      | ~ rR(X0,sK11,sK10)
      | vf(sK10,X0) != vf(sK11,sK1) ),
    inference(definition_unfolding,[],[f589,f668,f666,f666,f668,f600]) ).

fof(f5,axiom,
    ! [X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ( rpoint(X2)
        & X1 = X2
        & rpoint(X4)
        & X3 = X4
        & rpoint(X6)
        & X5 = X6
        & rpoint(X8)
        & X7 = X8
        & X1 != X3
        & X5 != X7
        & rless(vf(X5,X7),vf(X1,X3)) )
     => vf(X5,X7) = vf(X1,vskolem1120(X1,X2,X3,X4,X5,X6,X7,X8)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(238), 0), 0)') ).

fof(f852,plain,
    ~ rless(vf(sK11,sK10),vf(sK11,sK1)),
    inference(definition_unfolding,[],[f591,f668,f666,f668,f600]) ).

fof(f128,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ( rpoint(X1)
        & X0 = X1
        & rpoint(X3)
        & X2 = X3
        & rpoint(X5)
        & X4 = X5
        & rpoint(X7)
        & X6 = X7
        & X0 != X2
        & X4 != X6
        & rless(vf(X4,X6),vf(X0,X2)) )
     => vf(X4,X6) = vf(X0,vskolem1120(X0,X1,X2,X3,X4,X5,X6,X7)) ),
    inference(rectify,[],[f5]) ).

fof(f248,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( vf(X4,X6) = vf(X0,vskolem1120(X0,X1,X2,X3,X4,X5,X6,X7))
      | ~ rpoint(X1)
      | X0 != X1
      | ~ rpoint(X3)
      | X2 != X3
      | ~ rpoint(X5)
      | X4 != X5
      | ~ rpoint(X7)
      | X6 != X7
      | X0 = X2
      | X4 = X6
      | ~ rless(vf(X4,X6),vf(X0,X2)) ),
    inference(ennf_transformation,[],[f128]) ).

fof(f249,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( vf(X4,X6) = vf(X0,vskolem1120(X0,X1,X2,X3,X4,X5,X6,X7))
      | ~ rpoint(X1)
      | X0 != X1
      | ~ rpoint(X3)
      | X2 != X3
      | ~ rpoint(X5)
      | X4 != X5
      | ~ rpoint(X7)
      | X6 != X7
      | X0 = X2
      | X4 = X6
      | ~ rless(vf(X4,X6),vf(X0,X2)) ),
    inference(flattening,[],[f248]) ).

fof(f590,plain,
    rless(vf(vd1361,vd1362),vf(vd1361,vd1363)),
    inference(cnf_transformation,[],[f3]) ).

fof(f592,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( vf(X4,X6) = vf(X0,vskolem1120(X0,X1,X2,X3,X4,X5,X6,X7))
      | ~ rpoint(X1)
      | X0 != X1
      | ~ rpoint(X3)
      | X2 != X3
      | ~ rpoint(X5)
      | X4 != X5
      | ~ rpoint(X7)
      | X6 != X7
      | X0 = X2
      | X4 = X6
      | ~ rless(vf(X4,X6),vf(X0,X2)) ),
    inference(cnf_transformation,[],[f249]) ).

fof(f851,plain,
    rless(vf(sK11,sK1),vf(sK11,sK10)),
    inference(definition_unfolding,[],[f590,f668,f600,f668,f666]) ).

fof(f867,plain,
    ! [X2,X3,X1,X6,X7,X4,X5] :
      ( vf(X4,X6) = vf(X1,vskolem1120(X1,X1,X2,X3,X4,X5,X6,X7))
      | ~ rpoint(X1)
      | ~ rpoint(X3)
      | X2 != X3
      | ~ rpoint(X5)
      | X4 != X5
      | ~ rpoint(X7)
      | X6 != X7
      | X1 = X2
      | X4 = X6
      | ~ rless(vf(X4,X6),vf(X1,X2)) ),
    inference(equality_resolution,[],[f592]) ).

fof(f868,plain,
    ! [X3,X1,X6,X7,X4,X5] :
      ( vf(X4,X6) = vf(X1,vskolem1120(X1,X1,X3,X3,X4,X5,X6,X7))
      | ~ rpoint(X1)
      | ~ rpoint(X3)
      | ~ rpoint(X5)
      | X4 != X5
      | ~ rpoint(X7)
      | X6 != X7
      | X1 = X3
      | X4 = X6
      | ~ rless(vf(X4,X6),vf(X1,X3)) ),
    inference(equality_resolution,[],[f867]) ).

fof(f869,plain,
    ! [X3,X1,X6,X7,X5] :
      ( vf(X5,X6) = vf(X1,vskolem1120(X1,X1,X3,X3,X5,X5,X6,X7))
      | ~ rpoint(X1)
      | ~ rpoint(X3)
      | ~ rpoint(X5)
      | ~ rpoint(X7)
      | X6 != X7
      | X1 = X3
      | X5 = X6
      | ~ rless(vf(X5,X6),vf(X1,X3)) ),
    inference(equality_resolution,[],[f868]) ).

fof(f6,axiom,
    ! [X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ( rpoint(X2)
        & X1 = X2
        & rpoint(X4)
        & X3 = X4
        & rpoint(X6)
        & X5 = X6
        & rpoint(X8)
        & X7 = X8
        & X1 != X3
        & X5 != X7
        & rless(vf(X5,X7),vf(X1,X3)) )
     => rR(vskolem1120(X1,X2,X3,X4,X5,X6,X7,X8),X1,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(238), 0), 1)') ).

fof(f870,plain,
    ! [X3,X1,X7,X5] :
      ( vf(X5,X7) = vf(X1,vskolem1120(X1,X1,X3,X3,X5,X5,X7,X7))
      | ~ rpoint(X1)
      | ~ rpoint(X3)
      | ~ rpoint(X5)
      | ~ rpoint(X7)
      | X1 = X3
      | X5 = X7
      | ~ rless(vf(X5,X7),vf(X1,X3)) ),
    inference(equality_resolution,[],[f869]) ).

fof(f129,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ( rpoint(X1)
        & X0 = X1
        & rpoint(X3)
        & X2 = X3
        & rpoint(X5)
        & X4 = X5
        & rpoint(X7)
        & X6 = X7
        & X0 != X2
        & X4 != X6
        & rless(vf(X4,X6),vf(X0,X2)) )
     => rR(vskolem1120(X0,X1,X2,X3,X4,X5,X6,X7),X0,X2) ),
    inference(rectify,[],[f6]) ).

fof(f250,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( rR(vskolem1120(X0,X1,X2,X3,X4,X5,X6,X7),X0,X2)
      | ~ rpoint(X1)
      | X0 != X1
      | ~ rpoint(X3)
      | X2 != X3
      | ~ rpoint(X5)
      | X4 != X5
      | ~ rpoint(X7)
      | X6 != X7
      | X0 = X2
      | X4 = X6
      | ~ rless(vf(X4,X6),vf(X0,X2)) ),
    inference(ennf_transformation,[],[f129]) ).

fof(f251,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( rR(vskolem1120(X0,X1,X2,X3,X4,X5,X6,X7),X0,X2)
      | ~ rpoint(X1)
      | X0 != X1
      | ~ rpoint(X3)
      | X2 != X3
      | ~ rpoint(X5)
      | X4 != X5
      | ~ rpoint(X7)
      | X6 != X7
      | X0 = X2
      | X4 = X6
      | ~ rless(vf(X4,X6),vf(X0,X2)) ),
    inference(flattening,[],[f250]) ).

fof(f593,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( rR(vskolem1120(X0,X1,X2,X3,X4,X5,X6,X7),X0,X2)
      | ~ rpoint(X1)
      | X0 != X1
      | ~ rpoint(X3)
      | X2 != X3
      | ~ rpoint(X5)
      | X4 != X5
      | ~ rpoint(X7)
      | X6 != X7
      | X0 = X2
      | X4 = X6
      | ~ rless(vf(X4,X6),vf(X0,X2)) ),
    inference(cnf_transformation,[],[f251]) ).

fof(f871,plain,
    ! [X2,X3,X1,X6,X7,X4,X5] :
      ( rR(vskolem1120(X1,X1,X2,X3,X4,X5,X6,X7),X1,X2)
      | ~ rpoint(X1)
      | ~ rpoint(X3)
      | X2 != X3
      | ~ rpoint(X5)
      | X4 != X5
      | ~ rpoint(X7)
      | X6 != X7
      | X1 = X2
      | X4 = X6
      | ~ rless(vf(X4,X6),vf(X1,X2)) ),
    inference(equality_resolution,[],[f593]) ).

fof(f872,plain,
    ! [X3,X1,X6,X7,X4,X5] :
      ( rR(vskolem1120(X1,X1,X3,X3,X4,X5,X6,X7),X1,X3)
      | ~ rpoint(X1)
      | ~ rpoint(X3)
      | ~ rpoint(X5)
      | X4 != X5
      | ~ rpoint(X7)
      | X6 != X7
      | X1 = X3
      | X4 = X6
      | ~ rless(vf(X4,X6),vf(X1,X3)) ),
    inference(equality_resolution,[],[f871]) ).

fof(f873,plain,
    ! [X3,X1,X6,X7,X5] :
      ( rR(vskolem1120(X1,X1,X3,X3,X5,X5,X6,X7),X1,X3)
      | ~ rpoint(X1)
      | ~ rpoint(X3)
      | ~ rpoint(X5)
      | ~ rpoint(X7)
      | X6 != X7
      | X1 = X3
      | X5 = X6
      | ~ rless(vf(X5,X6),vf(X1,X3)) ),
    inference(equality_resolution,[],[f872]) ).

fof(f7,axiom,
    ! [X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ( rpoint(X2)
        & X1 = X2
        & rpoint(X4)
        & X3 = X4
        & rpoint(X6)
        & X5 = X6
        & rpoint(X8)
        & X7 = X8
        & X1 != X3
        & X5 != X7
        & rless(vf(X5,X7),vf(X1,X3)) )
     => rpoint(vskolem1120(X1,X2,X3,X4,X5,X6,X7,X8)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(238), 0), 2)') ).

fof(f874,plain,
    ! [X3,X1,X7,X5] :
      ( rR(vskolem1120(X1,X1,X3,X3,X5,X5,X7,X7),X1,X3)
      | ~ rpoint(X1)
      | ~ rpoint(X3)
      | ~ rpoint(X5)
      | ~ rpoint(X7)
      | X1 = X3
      | X5 = X7
      | ~ rless(vf(X5,X7),vf(X1,X3)) ),
    inference(equality_resolution,[],[f873]) ).

fof(f130,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ( rpoint(X1)
        & X0 = X1
        & rpoint(X3)
        & X2 = X3
        & rpoint(X5)
        & X4 = X5
        & rpoint(X7)
        & X6 = X7
        & X0 != X2
        & X4 != X6
        & rless(vf(X4,X6),vf(X0,X2)) )
     => rpoint(vskolem1120(X0,X1,X2,X3,X4,X5,X6,X7)) ),
    inference(rectify,[],[f7]) ).

fof(f252,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( rpoint(vskolem1120(X0,X1,X2,X3,X4,X5,X6,X7))
      | ~ rpoint(X1)
      | X0 != X1
      | ~ rpoint(X3)
      | X2 != X3
      | ~ rpoint(X5)
      | X4 != X5
      | ~ rpoint(X7)
      | X6 != X7
      | X0 = X2
      | X4 = X6
      | ~ rless(vf(X4,X6),vf(X0,X2)) ),
    inference(ennf_transformation,[],[f130]) ).

fof(f253,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( rpoint(vskolem1120(X0,X1,X2,X3,X4,X5,X6,X7))
      | ~ rpoint(X1)
      | X0 != X1
      | ~ rpoint(X3)
      | X2 != X3
      | ~ rpoint(X5)
      | X4 != X5
      | ~ rpoint(X7)
      | X6 != X7
      | X0 = X2
      | X4 = X6
      | ~ rless(vf(X4,X6),vf(X0,X2)) ),
    inference(flattening,[],[f252]) ).

fof(f594,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( rpoint(vskolem1120(X0,X1,X2,X3,X4,X5,X6,X7))
      | ~ rpoint(X1)
      | X0 != X1
      | ~ rpoint(X3)
      | X2 != X3
      | ~ rpoint(X5)
      | X4 != X5
      | ~ rpoint(X7)
      | X6 != X7
      | X0 = X2
      | X4 = X6
      | ~ rless(vf(X4,X6),vf(X0,X2)) ),
    inference(cnf_transformation,[],[f253]) ).

fof(f875,plain,
    ! [X2,X3,X1,X6,X7,X4,X5] :
      ( rpoint(vskolem1120(X1,X1,X2,X3,X4,X5,X6,X7))
      | ~ rpoint(X1)
      | ~ rpoint(X3)
      | X2 != X3
      | ~ rpoint(X5)
      | X4 != X5
      | ~ rpoint(X7)
      | X6 != X7
      | X1 = X2
      | X4 = X6
      | ~ rless(vf(X4,X6),vf(X1,X2)) ),
    inference(equality_resolution,[],[f594]) ).

fof(f876,plain,
    ! [X3,X1,X6,X7,X4,X5] :
      ( rpoint(vskolem1120(X1,X1,X3,X3,X4,X5,X6,X7))
      | ~ rpoint(X1)
      | ~ rpoint(X3)
      | ~ rpoint(X5)
      | X4 != X5
      | ~ rpoint(X7)
      | X6 != X7
      | X1 = X3
      | X4 = X6
      | ~ rless(vf(X4,X6),vf(X1,X3)) ),
    inference(equality_resolution,[],[f875]) ).

fof(f877,plain,
    ! [X3,X1,X6,X7,X5] :
      ( rpoint(vskolem1120(X1,X1,X3,X3,X5,X5,X6,X7))
      | ~ rpoint(X1)
      | ~ rpoint(X3)
      | ~ rpoint(X5)
      | ~ rpoint(X7)
      | X6 != X7
      | X1 = X3
      | X5 = X6
      | ~ rless(vf(X5,X6),vf(X1,X3)) ),
    inference(equality_resolution,[],[f876]) ).

fof(f878,plain,
    ! [X3,X1,X7,X5] :
      ( rpoint(vskolem1120(X1,X1,X3,X3,X5,X5,X7,X7))
      | ~ rpoint(X1)
      | ~ rpoint(X3)
      | ~ rpoint(X5)
      | ~ rpoint(X7)
      | X1 = X3
      | X5 = X7
      | ~ rless(vf(X5,X7),vf(X1,X3)) ),
    inference(equality_resolution,[],[f877]) ).

cnf(c_49,negated_conjecture,
    ( vf(sK10,X0) != vf(sK11,sK1)
    | ~ rR(X0,sK11,sK10)
    | ~ rpoint(X0) ),
    inference(cnf_transformation,[],[f850]) ).

cnf(c_50,plain,
    rless(vf(sK11,sK1),vf(sK11,sK10)),
    inference(cnf_transformation,[],[f851]) ).

cnf(c_52,plain,
    ( ~ rless(vf(X0,X1),vf(X2,X3))
    | ~ rpoint(X0)
    | ~ rpoint(X1)
    | ~ rpoint(X2)
    | ~ rpoint(X3)
    | vf(X2,vskolem1120(X2,X2,X3,X3,X0,X0,X1,X1)) = vf(X0,X1)
    | X0 = X1
    | X2 = X3 ),
    inference(cnf_transformation,[],[f870]) ).

cnf(c_53,plain,
    ( ~ rless(vf(X0,X1),vf(X2,X3))
    | ~ rpoint(X0)
    | ~ rpoint(X1)
    | ~ rpoint(X2)
    | ~ rpoint(X3)
    | X0 = X1
    | X2 = X3
    | rR(vskolem1120(X2,X2,X3,X3,X0,X0,X1,X1),X2,X3) ),
    inference(cnf_transformation,[],[f874]) ).

cnf(c_54,plain,
    ( ~ rless(vf(X0,X1),vf(X2,X3))
    | ~ rpoint(X0)
    | ~ rpoint(X1)
    | ~ rpoint(X2)
    | ~ rpoint(X3)
    | X0 = X1
    | X2 = X3
    | rpoint(vskolem1120(X2,X2,X3,X3,X0,X0,X1,X1)) ),
    inference(cnf_transformation,[],[f878]) ).

cnf(c_60,plain,
    rpoint(sK1),
    inference(cnf_transformation,[],[f601]) ).

cnf(c_122,plain,
    sK11 != sK10,
    inference(cnf_transformation,[],[f862]) ).

cnf(c_124,plain,
    rpoint(sK10),
    inference(cnf_transformation,[],[f667]) ).

cnf(c_125,plain,
    rpoint(sK11),
    inference(cnf_transformation,[],[f669]) ).

cnf(c_10057,plain,
    rpoint(sK11),
    inference(subtyping,[status(esa)],[c_125]) ).

cnf(c_10058,plain,
    rpoint(sK10),
    inference(subtyping,[status(esa)],[c_124]) ).

cnf(c_10060,plain,
    sK11 != sK10,
    inference(subtyping,[status(esa)],[c_122]) ).

cnf(c_10127,plain,
    ( ~ rless(vf(X0_13,X1_13),vf(X2_13,X3_13))
    | ~ rpoint(X0_13)
    | ~ rpoint(X1_13)
    | ~ rpoint(X2_13)
    | ~ rpoint(X3_13)
    | X0_13 = X1_13
    | X2_13 = X3_13
    | rpoint(vskolem1120(X2_13,X2_13,X3_13,X3_13,X0_13,X0_13,X1_13,X1_13)) ),
    inference(subtyping,[status(esa)],[c_54]) ).

cnf(c_10128,plain,
    ( ~ rless(vf(X0_13,X1_13),vf(X2_13,X3_13))
    | ~ rpoint(X0_13)
    | ~ rpoint(X1_13)
    | ~ rpoint(X2_13)
    | ~ rpoint(X3_13)
    | X0_13 = X1_13
    | X2_13 = X3_13
    | rR(vskolem1120(X2_13,X2_13,X3_13,X3_13,X0_13,X0_13,X1_13,X1_13),X2_13,X3_13) ),
    inference(subtyping,[status(esa)],[c_53]) ).

cnf(c_10129,plain,
    ( ~ rless(vf(X0_13,X1_13),vf(X2_13,X3_13))
    | ~ rpoint(X0_13)
    | ~ rpoint(X1_13)
    | ~ rpoint(X2_13)
    | ~ rpoint(X3_13)
    | vf(X2_13,vskolem1120(X2_13,X2_13,X3_13,X3_13,X0_13,X0_13,X1_13,X1_13)) = vf(X0_13,X1_13)
    | X0_13 = X1_13
    | X2_13 = X3_13 ),
    inference(subtyping,[status(esa)],[c_52]) ).

cnf(c_10131,plain,
    rless(vf(sK11,sK1),vf(sK11,sK10)),
    inference(subtyping,[status(esa)],[c_50]) ).

cnf(c_10132,negated_conjecture,
    ( vf(sK10,X0_13) != vf(sK11,sK1)
    | ~ rR(X0_13,sK11,sK10)
    | ~ rpoint(X0_13) ),
    inference(subtyping,[status(esa)],[c_49]) ).

cnf(c_10151,plain,
    X0_13 = X0_13,
    theory(equality) ).

cnf(c_10153,plain,
    X0_15 = X0_15,
    theory(equality) ).

cnf(c_10154,plain,
    ( X0_13 != X1_13
    | X2_13 != X1_13
    | X2_13 = X0_13 ),
    theory(equality) ).

cnf(c_10160,plain,
    ( X0_15 != X1_15
    | X2_15 != X3_15
    | ~ rless(X1_15,X3_15)
    | rless(X0_15,X2_15) ),
    theory(equality) ).

cnf(c_10175,plain,
    sK11 = sK11,
    inference(instantiation,[status(thm)],[c_10151]) ).

cnf(c_17316,plain,
    ( sK11 != X0_13
    | sK10 != X0_13
    | sK11 = sK10 ),
    inference(instantiation,[status(thm)],[c_10154]) ).

cnf(c_17317,plain,
    ( sK11 != sK11
    | sK10 != sK11
    | sK11 = sK10 ),
    inference(instantiation,[status(thm)],[c_17316]) ).

cnf(c_17338,plain,
    ( X0_15 != vf(sK11,sK1)
    | X1_15 != vf(sK11,sK10)
    | ~ rless(vf(sK11,sK1),vf(sK11,sK10))
    | rless(X0_15,X1_15) ),
    inference(instantiation,[status(thm)],[c_10160]) ).

cnf(c_17375,plain,
    ( vf(sK10,sK11) != vf(sK11,sK10)
    | X0_15 != vf(sK11,sK1)
    | ~ rless(vf(sK11,sK1),vf(sK11,sK10))
    | rless(X0_15,vf(sK10,sK11)) ),
    inference(instantiation,[status(thm)],[c_17338]) ).

cnf(c_17419,plain,
    ( vf(sK11,sK1) != vf(sK11,sK1)
    | vf(sK10,sK11) != vf(sK11,sK10)
    | ~ rless(vf(sK11,sK1),vf(sK11,sK10))
    | rless(vf(sK11,sK1),vf(sK10,sK11)) ),
    inference(instantiation,[status(thm)],[c_17375]) ).

cnf(c_17420,plain,
    vf(sK11,sK1) = vf(sK11,sK1),
    inference(instantiation,[status(thm)],[c_10153]) ).

cnf(c_534075,plain,
    ( ~ rless(vf(sK11,sK1),vf(sK10,sK11))
    | ~ rpoint(sK11)
    | ~ rpoint(sK10)
    | ~ rpoint(sK1)
    | vf(sK10,vskolem1120(sK10,sK10,sK11,sK11,sK11,sK11,sK1,sK1)) = vf(sK11,sK1)
    | sK11 = sK1
    | sK10 = sK11 ),
    inference(instantiation,[status(thm)],[c_10129]) ).

cnf(c_534076,plain,
    ( ~ rless(vf(sK11,sK1),vf(sK10,sK11))
    | ~ rpoint(sK11)
    | ~ rpoint(sK10)
    | ~ rpoint(sK1)
    | sK11 = sK1
    | sK10 = sK11
    | rR(vskolem1120(sK10,sK10,sK11,sK11,sK11,sK11,sK1,sK1),sK10,sK11) ),
    inference(instantiation,[status(thm)],[c_10128]) ).

cnf(c_931130,plain,
    ( ~ rless(vf(sK11,sK1),vf(sK10,sK11))
    | ~ rpoint(sK11)
    | ~ rpoint(sK10)
    | ~ rpoint(sK1)
    | sK11 = sK1
    | sK10 = sK11
    | rpoint(vskolem1120(sK10,sK10,sK11,sK11,sK11,sK11,sK1,sK1)) ),
    inference(instantiation,[status(thm)],[c_10127]) ).

fof(f14,axiom,
    ! [X42,X43,X44,X45,X46,X47] :
      ( ( rpoint(X43)
        & X42 = X43
        & rcenter(X44,X45)
        & rpoint(X47)
        & X46 = X47
        & ron(X46,X45) )
     => ( vf(X44,X42) = vf(X44,X46)
      <=> ron(X42,X45) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(184), 0), imp(cond(axiom(184), 0)))') ).

fof(f917,plain,
    ! [X2,X3,X1,X5] :
      ( vf(X2,X1) = vf(X2,X5)
      | ~ ron(X1,X3)
      | ~ rpoint(X1)
      | ~ rcenter(X2,X3)
      | ~ rpoint(X5)
      | ~ ron(X5,X3) ),
    inference(equality_resolution,[],[f916]) ).

fof(f21,axiom,
    ! [X86,X87,X88] :
      ( ( ? [X91] :
            ( rpoint(X91)
            & X86 = X91 )
        & ? [X90] :
            ( rpoint(X90)
            & X87 = X90 )
        & ? [X89] :
            ( rpoint(X89)
            & X88 = X89 )
        & rR(X87,X86,X88) )
     => ( rR(X87,X88,X86)
        & X86 != X87
        & X86 != X88
        & ~ rR(X86,X87,X88) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(81), 0), imp(cond(axiom(81), 0)))') ).

fof(f955,plain,
    ! [X4,X5] :
      ( ~ rpoint(X5)
      | ~ rpoint(X4)
      | ~ rpoint(X5)
      | ~ rR(X4,X5,X5) ),
    inference(equality_resolution,[],[f954]) ).

fof(f31,axiom,
    ! [X135,X136] :
      ( ( ? [X138] :
            ( rpoint(X138)
            & X135 = X138 )
        & ? [X137] :
            ( rpoint(X137)
            & X136 = X137 ) )
     => ? [X139] :
          ( rreal(X139)
          & vf(X135,X136) = X139 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(160), 0), imp(cond(axiom(160), 0)))') ).

fof(f1076,plain,
    ! [X3,X4] :
      ( rreal(sK9(X3,X4))
      | ~ rpoint(X3)
      | ~ rpoint(X4) ),
    inference(equality_resolution,[],[f1075]) ).

fof(f124,axiom,
    ! [X739,X740,X741,X742,X743,X744,X745,X746] :
      ( ( ? [X754] :
            ( rpoint(X754)
            & X739 = X754 )
        & ? [X753] :
            ( rpoint(X753)
            & X740 = X753 )
        & ? [X752] :
            ( rpoint(X752)
            & X741 = X752 )
        & ? [X751] :
            ( rpoint(X751)
            & X742 = X751 )
        & ? [X750] :
            ( rpoint(X750)
            & X743 = X750 )
        & ? [X749] :
            ( rline(X749)
            & X744 = X749 )
        & ? [X748] :
            ( rline(X748)
            & X745 = X748 )
        & ? [X747] :
            ( rline(X747)
            & X746 = X747 )
        & ron(X739,X744)
        & ron(X740,X744)
        & ron(X740,X745)
        & ron(X741,X745)
        & ron(X741,X746)
        & ron(X742,X746)
        & X740 != X741
        & rS(X739,X742,X745)
        & rless(vplus(vangle(X739,X740,X741),vangle(X740,X741,X742)),vplus(vperp,vperp)) )
     => ( rintersect(X744,X745)
        & ( ( ron(X743,X744)
            & ron(X743,X745) )
         => rS(X743,X739,X745) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(196), 0), imp(cond(axiom(196), 0)))') ).

fof(f1636,plain,
    ! [X10,X11,X8,X9,X14,X15,X12,X13] :
      ( rintersect(X13,X14)
      | ~ rpoint(X8)
      | ~ rpoint(X9)
      | ~ rpoint(X10)
      | ~ rpoint(X11)
      | ~ rpoint(X12)
      | ~ rline(X13)
      | ~ rline(X14)
      | ~ rline(X15)
      | ~ ron(X8,X13)
      | ~ ron(X9,X13)
      | ~ ron(X9,X14)
      | ~ ron(X10,X14)
      | ~ ron(X10,X15)
      | ~ ron(X11,X15)
      | X9 = X10
      | ~ rS(X8,X11,X14)
      | ~ rless(vplus(vangle(X8,X9,X10),vangle(X9,X10,X11)),vplus(vperp,vperp)) ),
    inference(equality_resolution,[],[f1635]) ).

fof(f136,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ( rpoint(X1)
        & X0 = X1
        & rcenter(X2,X3)
        & rpoint(X5)
        & X4 = X5
        & ron(X4,X3) )
     => ( vf(X2,X0) = vf(X2,X4)
      <=> ron(X0,X3) ) ),
    inference(rectify,[],[f14]) ).

fof(f143,plain,
    ! [X0,X1,X2] :
      ( ( ? [X3] :
            ( rpoint(X3)
            & X0 = X3 )
        & ? [X4] :
            ( rpoint(X4)
            & X1 = X4 )
        & ? [X5] :
            ( rpoint(X5)
            & X2 = X5 )
        & rR(X1,X0,X2) )
     => ( rR(X1,X2,X0)
        & X0 != X1
        & X0 != X2
        & ~ rR(X0,X1,X2) ) ),
    inference(rectify,[],[f21]) ).

fof(f153,plain,
    ! [X0,X1] :
      ( ( ? [X2] :
            ( rpoint(X2)
            & X0 = X2 )
        & ? [X3] :
            ( rpoint(X3)
            & X1 = X3 ) )
     => ? [X4] :
          ( rreal(X4)
          & vf(X0,X1) = X4 ) ),
    inference(rectify,[],[f31]) ).

fof(f239,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ( ? [X8] :
            ( rpoint(X8)
            & X0 = X8 )
        & ? [X9] :
            ( rpoint(X9)
            & X1 = X9 )
        & ? [X10] :
            ( rpoint(X10)
            & X2 = X10 )
        & ? [X11] :
            ( rpoint(X11)
            & X3 = X11 )
        & ? [X12] :
            ( rpoint(X12)
            & X4 = X12 )
        & ? [X13] :
            ( rline(X13)
            & X5 = X13 )
        & ? [X14] :
            ( rline(X14)
            & X6 = X14 )
        & ? [X15] :
            ( rline(X15)
            & X7 = X15 )
        & ron(X0,X5)
        & ron(X1,X5)
        & ron(X1,X6)
        & ron(X2,X6)
        & ron(X2,X7)
        & ron(X3,X7)
        & X1 != X2
        & rS(X0,X3,X6)
        & rless(vplus(vangle(X0,X1,X2),vangle(X1,X2,X3)),vplus(vperp,vperp)) )
     => ( rintersect(X5,X6)
        & ( ( ron(X4,X5)
            & ron(X4,X6) )
         => rS(X4,X0,X6) ) ) ),
    inference(rectify,[],[f124]) ).

fof(f262,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ( vf(X2,X0) = vf(X2,X4)
      <=> ron(X0,X3) )
      | ~ rpoint(X1)
      | X0 != X1
      | ~ rcenter(X2,X3)
      | ~ rpoint(X5)
      | X4 != X5
      | ~ ron(X4,X3) ),
    inference(ennf_transformation,[],[f136]) ).

fof(f263,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ( vf(X2,X0) = vf(X2,X4)
      <=> ron(X0,X3) )
      | ~ rpoint(X1)
      | X0 != X1
      | ~ rcenter(X2,X3)
      | ~ rpoint(X5)
      | X4 != X5
      | ~ ron(X4,X3) ),
    inference(flattening,[],[f262]) ).

fof(f276,plain,
    ! [X0,X1,X2] :
      ( ( rR(X1,X2,X0)
        & X0 != X1
        & X0 != X2
        & ~ rR(X0,X1,X2) )
      | ! [X3] :
          ( ~ rpoint(X3)
          | X0 != X3 )
      | ! [X4] :
          ( ~ rpoint(X4)
          | X1 != X4 )
      | ! [X5] :
          ( ~ rpoint(X5)
          | X2 != X5 )
      | ~ rR(X1,X0,X2) ),
    inference(ennf_transformation,[],[f143]) ).

fof(f277,plain,
    ! [X0,X1,X2] :
      ( ( rR(X1,X2,X0)
        & X0 != X1
        & X0 != X2
        & ~ rR(X0,X1,X2) )
      | ! [X3] :
          ( ~ rpoint(X3)
          | X0 != X3 )
      | ! [X4] :
          ( ~ rpoint(X4)
          | X1 != X4 )
      | ! [X5] :
          ( ~ rpoint(X5)
          | X2 != X5 )
      | ~ rR(X1,X0,X2) ),
    inference(flattening,[],[f276]) ).

fof(f296,plain,
    ! [X0,X1] :
      ( ? [X4] :
          ( rreal(X4)
          & vf(X0,X1) = X4 )
      | ! [X2] :
          ( ~ rpoint(X2)
          | X0 != X2 )
      | ! [X3] :
          ( ~ rpoint(X3)
          | X1 != X3 ) ),
    inference(ennf_transformation,[],[f153]) ).

fof(f297,plain,
    ! [X0,X1] :
      ( ? [X4] :
          ( rreal(X4)
          & vf(X0,X1) = X4 )
      | ! [X2] :
          ( ~ rpoint(X2)
          | X0 != X2 )
      | ! [X3] :
          ( ~ rpoint(X3)
          | X1 != X3 ) ),
    inference(flattening,[],[f296]) ).

fof(f458,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ( rintersect(X5,X6)
        & ( rS(X4,X0,X6)
          | ~ ron(X4,X5)
          | ~ ron(X4,X6) ) )
      | ! [X8] :
          ( ~ rpoint(X8)
          | X0 != X8 )
      | ! [X9] :
          ( ~ rpoint(X9)
          | X1 != X9 )
      | ! [X10] :
          ( ~ rpoint(X10)
          | X2 != X10 )
      | ! [X11] :
          ( ~ rpoint(X11)
          | X3 != X11 )
      | ! [X12] :
          ( ~ rpoint(X12)
          | X4 != X12 )
      | ! [X13] :
          ( ~ rline(X13)
          | X5 != X13 )
      | ! [X14] :
          ( ~ rline(X14)
          | X6 != X14 )
      | ! [X15] :
          ( ~ rline(X15)
          | X7 != X15 )
      | ~ ron(X0,X5)
      | ~ ron(X1,X5)
      | ~ ron(X1,X6)
      | ~ ron(X2,X6)
      | ~ ron(X2,X7)
      | ~ ron(X3,X7)
      | X1 = X2
      | ~ rS(X0,X3,X6)
      | ~ rless(vplus(vangle(X0,X1,X2),vangle(X1,X2,X3)),vplus(vperp,vperp)) ),
    inference(ennf_transformation,[],[f239]) ).

fof(f459,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ( rintersect(X5,X6)
        & ( rS(X4,X0,X6)
          | ~ ron(X4,X5)
          | ~ ron(X4,X6) ) )
      | ! [X8] :
          ( ~ rpoint(X8)
          | X0 != X8 )
      | ! [X9] :
          ( ~ rpoint(X9)
          | X1 != X9 )
      | ! [X10] :
          ( ~ rpoint(X10)
          | X2 != X10 )
      | ! [X11] :
          ( ~ rpoint(X11)
          | X3 != X11 )
      | ! [X12] :
          ( ~ rpoint(X12)
          | X4 != X12 )
      | ! [X13] :
          ( ~ rline(X13)
          | X5 != X13 )
      | ! [X14] :
          ( ~ rline(X14)
          | X6 != X14 )
      | ! [X15] :
          ( ~ rline(X15)
          | X7 != X15 )
      | ~ ron(X0,X5)
      | ~ ron(X1,X5)
      | ~ ron(X1,X6)
      | ~ ron(X2,X6)
      | ~ ron(X2,X7)
      | ~ ron(X3,X7)
      | X1 = X2
      | ~ rS(X0,X3,X6)
      | ~ rless(vplus(vangle(X0,X1,X2),vangle(X1,X2,X3)),vplus(vperp,vperp)) ),
    inference(flattening,[],[f458]) ).

fof(f471,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ( ( vf(X2,X0) = vf(X2,X4)
          | ~ ron(X0,X3) )
        & ( ron(X0,X3)
          | vf(X2,X0) != vf(X2,X4) ) )
      | ~ rpoint(X1)
      | X0 != X1
      | ~ rcenter(X2,X3)
      | ~ rpoint(X5)
      | X4 != X5
      | ~ ron(X4,X3) ),
    inference(nnf_transformation,[],[f263]) ).

fof(f489,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( rreal(X2)
          & vf(X0,X1) = X2 )
      | ! [X3] :
          ( ~ rpoint(X3)
          | X0 != X3 )
      | ! [X4] :
          ( ~ rpoint(X4)
          | X1 != X4 ) ),
    inference(rectify,[],[f297]) ).

fof(f491,plain,
    ! [X0,X1] :
      ( ( rreal(sK9(X0,X1))
        & vf(X0,X1) = sK9(X0,X1) )
      | ! [X3] :
          ( ~ rpoint(X3)
          | X0 != X3 )
      | ! [X4] :
          ( ~ rpoint(X4)
          | X1 != X4 ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f489,f490]) ).

fof(f607,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ron(X0,X3)
      | vf(X2,X0) != vf(X2,X4)
      | ~ rpoint(X1)
      | X0 != X1
      | ~ rcenter(X2,X3)
      | ~ rpoint(X5)
      | X4 != X5
      | ~ ron(X4,X3) ),
    inference(cnf_transformation,[],[f471]) ).

fof(f608,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( vf(X2,X0) = vf(X2,X4)
      | ~ ron(X0,X3)
      | ~ rpoint(X1)
      | X0 != X1
      | ~ rcenter(X2,X3)
      | ~ rpoint(X5)
      | X4 != X5
      | ~ ron(X4,X3) ),
    inference(cnf_transformation,[],[f471]) ).

fof(f618,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( X0 != X2
      | ~ rpoint(X3)
      | X0 != X3
      | ~ rpoint(X4)
      | X1 != X4
      | ~ rpoint(X5)
      | X2 != X5
      | ~ rR(X1,X0,X2) ),
    inference(cnf_transformation,[],[f277]) ).

fof(f620,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( rR(X1,X2,X0)
      | ~ rpoint(X3)
      | X0 != X3
      | ~ rpoint(X4)
      | X1 != X4
      | ~ rpoint(X5)
      | X2 != X5
      | ~ rR(X1,X0,X2) ),
    inference(cnf_transformation,[],[f277]) ).

fof(f650,plain,
    ! [X3,X0,X1,X4] :
      ( vf(X0,X1) = sK9(X0,X1)
      | ~ rpoint(X3)
      | X0 != X3
      | ~ rpoint(X4)
      | X1 != X4 ),
    inference(cnf_transformation,[],[f491]) ).

fof(f651,plain,
    ! [X3,X0,X1,X4] :
      ( rreal(sK9(X0,X1))
      | ~ rpoint(X3)
      | X0 != X3
      | ~ rpoint(X4)
      | X1 != X4 ),
    inference(cnf_transformation,[],[f491]) ).

fof(f847,plain,
    ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X15,X5,X12,X13] :
      ( rS(X4,X0,X6)
      | ~ ron(X4,X5)
      | ~ ron(X4,X6)
      | ~ rpoint(X8)
      | X0 != X8
      | ~ rpoint(X9)
      | X1 != X9
      | ~ rpoint(X10)
      | X2 != X10
      | ~ rpoint(X11)
      | X3 != X11
      | ~ rpoint(X12)
      | X4 != X12
      | ~ rline(X13)
      | X5 != X13
      | ~ rline(X14)
      | X6 != X14
      | ~ rline(X15)
      | X7 != X15
      | ~ ron(X0,X5)
      | ~ ron(X1,X5)
      | ~ ron(X1,X6)
      | ~ ron(X2,X6)
      | ~ ron(X2,X7)
      | ~ ron(X3,X7)
      | X1 = X2
      | ~ rS(X0,X3,X6)
      | ~ rless(vplus(vangle(X0,X1,X2),vangle(X1,X2,X3)),vplus(vperp,vperp)) ),
    inference(cnf_transformation,[],[f459]) ).

fof(f848,plain,
    ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X15,X5,X12,X13] :
      ( rintersect(X5,X6)
      | ~ rpoint(X8)
      | X0 != X8
      | ~ rpoint(X9)
      | X1 != X9
      | ~ rpoint(X10)
      | X2 != X10
      | ~ rpoint(X11)
      | X3 != X11
      | ~ rpoint(X12)
      | X4 != X12
      | ~ rline(X13)
      | X5 != X13
      | ~ rline(X14)
      | X6 != X14
      | ~ rline(X15)
      | X7 != X15
      | ~ ron(X0,X5)
      | ~ ron(X1,X5)
      | ~ ron(X1,X6)
      | ~ ron(X2,X6)
      | ~ ron(X2,X7)
      | ~ ron(X3,X7)
      | X1 = X2
      | ~ rS(X0,X3,X6)
      | ~ rless(vplus(vangle(X0,X1,X2),vangle(X1,X2,X3)),vplus(vperp,vperp)) ),
    inference(cnf_transformation,[],[f459]) ).

fof(f916,plain,
    ! [X2,X3,X1,X4,X5] :
      ( vf(X2,X1) = vf(X2,X4)
      | ~ ron(X1,X3)
      | ~ rpoint(X1)
      | ~ rcenter(X2,X3)
      | ~ rpoint(X5)
      | X4 != X5
      | ~ ron(X4,X3) ),
    inference(equality_resolution,[],[f608]) ).

fof(f918,plain,
    ! [X2,X3,X1,X4,X5] :
      ( ron(X1,X3)
      | vf(X2,X1) != vf(X2,X4)
      | ~ rpoint(X1)
      | ~ rcenter(X2,X3)
      | ~ rpoint(X5)
      | X4 != X5
      | ~ ron(X4,X3) ),
    inference(equality_resolution,[],[f607]) ).

fof(f15,axiom,
    ! [X48,X49] :
      ( ( ? [X51] :
            ( rpoint(X51)
            & X48 = X51 )
        & ? [X50] :
            ( rpoint(X50)
            & X49 = X50 ) )
     => vf(X48,X49) = vf(X49,X48) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(166), 0), imp(cond(axiom(166), 0)))') ).

fof(f919,plain,
    ! [X2,X3,X1,X5] :
      ( ron(X1,X3)
      | vf(X2,X1) != vf(X2,X5)
      | ~ rpoint(X1)
      | ~ rcenter(X2,X3)
      | ~ rpoint(X5)
      | ~ ron(X5,X3) ),
    inference(equality_resolution,[],[f918]) ).

fof(f137,plain,
    ! [X0,X1] :
      ( ( ? [X2] :
            ( rpoint(X2)
            & X0 = X2 )
        & ? [X3] :
            ( rpoint(X3)
            & X1 = X3 ) )
     => vf(X0,X1) = vf(X1,X0) ),
    inference(rectify,[],[f15]) ).

fof(f264,plain,
    ! [X0,X1] :
      ( vf(X0,X1) = vf(X1,X0)
      | ! [X2] :
          ( ~ rpoint(X2)
          | X0 != X2 )
      | ! [X3] :
          ( ~ rpoint(X3)
          | X1 != X3 ) ),
    inference(ennf_transformation,[],[f137]) ).

fof(f265,plain,
    ! [X0,X1] :
      ( vf(X0,X1) = vf(X1,X0)
      | ! [X2] :
          ( ~ rpoint(X2)
          | X0 != X2 )
      | ! [X3] :
          ( ~ rpoint(X3)
          | X1 != X3 ) ),
    inference(flattening,[],[f264]) ).

fof(f609,plain,
    ! [X2,X3,X0,X1] :
      ( vf(X0,X1) = vf(X1,X0)
      | ~ rpoint(X2)
      | X0 != X2
      | ~ rpoint(X3)
      | X1 != X3 ),
    inference(cnf_transformation,[],[f265]) ).

fof(f920,plain,
    ! [X2,X3,X1] :
      ( vf(X2,X1) = vf(X1,X2)
      | ~ rpoint(X2)
      | ~ rpoint(X3)
      | X1 != X3 ),
    inference(equality_resolution,[],[f609]) ).

fof(f921,plain,
    ! [X2,X3] :
      ( vf(X3,X2) = vf(X2,X3)
      | ~ rpoint(X2)
      | ~ rpoint(X3) ),
    inference(equality_resolution,[],[f920]) ).

fof(f945,plain,
    ! [X2,X3,X1,X4,X5] :
      ( rR(X1,X2,X3)
      | ~ rpoint(X3)
      | ~ rpoint(X4)
      | X1 != X4
      | ~ rpoint(X5)
      | X2 != X5
      | ~ rR(X1,X3,X2) ),
    inference(equality_resolution,[],[f620]) ).

fof(f946,plain,
    ! [X2,X3,X4,X5] :
      ( rR(X4,X2,X3)
      | ~ rpoint(X3)
      | ~ rpoint(X4)
      | ~ rpoint(X5)
      | X2 != X5
      | ~ rR(X4,X3,X2) ),
    inference(equality_resolution,[],[f945]) ).

fof(f947,plain,
    ! [X3,X4,X5] :
      ( rR(X4,X5,X3)
      | ~ rpoint(X3)
      | ~ rpoint(X4)
      | ~ rpoint(X5)
      | ~ rR(X4,X3,X5) ),
    inference(equality_resolution,[],[f946]) ).

fof(f952,plain,
    ! [X2,X3,X1,X4,X5] :
      ( ~ rpoint(X3)
      | X2 != X3
      | ~ rpoint(X4)
      | X1 != X4
      | ~ rpoint(X5)
      | X2 != X5
      | ~ rR(X1,X2,X2) ),
    inference(equality_resolution,[],[f618]) ).

fof(f953,plain,
    ! [X3,X1,X4,X5] :
      ( ~ rpoint(X3)
      | ~ rpoint(X4)
      | X1 != X4
      | ~ rpoint(X5)
      | X3 != X5
      | ~ rR(X1,X3,X3) ),
    inference(equality_resolution,[],[f952]) ).

fof(f954,plain,
    ! [X3,X4,X5] :
      ( ~ rpoint(X3)
      | ~ rpoint(X4)
      | ~ rpoint(X5)
      | X3 != X5
      | ~ rR(X4,X3,X3) ),
    inference(equality_resolution,[],[f953]) ).

fof(f1075,plain,
    ! [X3,X1,X4] :
      ( rreal(sK9(X3,X1))
      | ~ rpoint(X3)
      | ~ rpoint(X4)
      | X1 != X4 ),
    inference(equality_resolution,[],[f651]) ).

fof(f1077,plain,
    ! [X3,X1,X4] :
      ( sK9(X3,X1) = vf(X3,X1)
      | ~ rpoint(X3)
      | ~ rpoint(X4)
      | X1 != X4 ),
    inference(equality_resolution,[],[f650]) ).

fof(f32,axiom,
    ! [X140,X141,X142,X143,X144,X145] :
      ( ( rreal(X141)
        & X140 = X141
        & rreal(X143)
        & X142 = X143
        & rreal(X145)
        & X144 = X145
        & vplus(X140,X144) = vplus(X142,X144) )
     => X140 = X142 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(156, 0), 0)') ).

fof(f1078,plain,
    ! [X3,X4] :
      ( vf(X3,X4) = sK9(X3,X4)
      | ~ rpoint(X3)
      | ~ rpoint(X4) ),
    inference(equality_resolution,[],[f1077]) ).

fof(f154,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ( rreal(X1)
        & X0 = X1
        & rreal(X3)
        & X2 = X3
        & rreal(X5)
        & X4 = X5
        & vplus(X0,X4) = vplus(X2,X4) )
     => X0 = X2 ),
    inference(rectify,[],[f32]) ).

fof(f298,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( X0 = X2
      | ~ rreal(X1)
      | X0 != X1
      | ~ rreal(X3)
      | X2 != X3
      | ~ rreal(X5)
      | X4 != X5
      | vplus(X0,X4) != vplus(X2,X4) ),
    inference(ennf_transformation,[],[f154]) ).

fof(f299,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( X0 = X2
      | ~ rreal(X1)
      | X0 != X1
      | ~ rreal(X3)
      | X2 != X3
      | ~ rreal(X5)
      | X4 != X5
      | vplus(X0,X4) != vplus(X2,X4) ),
    inference(flattening,[],[f298]) ).

fof(f652,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( X0 = X2
      | ~ rreal(X1)
      | X0 != X1
      | ~ rreal(X3)
      | X2 != X3
      | ~ rreal(X5)
      | X4 != X5
      | vplus(X0,X4) != vplus(X2,X4) ),
    inference(cnf_transformation,[],[f299]) ).

fof(f1079,plain,
    ! [X2,X3,X1,X4,X5] :
      ( X1 = X2
      | ~ rreal(X1)
      | ~ rreal(X3)
      | X2 != X3
      | ~ rreal(X5)
      | X4 != X5
      | vplus(X2,X4) != vplus(X1,X4) ),
    inference(equality_resolution,[],[f652]) ).

fof(f1080,plain,
    ! [X3,X1,X4,X5] :
      ( X1 = X3
      | ~ rreal(X1)
      | ~ rreal(X3)
      | ~ rreal(X5)
      | X4 != X5
      | vplus(X1,X4) != vplus(X3,X4) ),
    inference(equality_resolution,[],[f1079]) ).

fof(f33,axiom,
    ! [X146,X147] :
      ( ( rreal(X147)
        & X146 = X147 )
     => ~ rless(X146,X146) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(149), 0), imp(cond(axiom(149), 0)))') ).

fof(f1081,plain,
    ! [X3,X1,X5] :
      ( X1 = X3
      | ~ rreal(X1)
      | ~ rreal(X3)
      | ~ rreal(X5)
      | vplus(X1,X5) != vplus(X3,X5) ),
    inference(equality_resolution,[],[f1080]) ).

fof(f155,plain,
    ! [X0,X1] :
      ( ( rreal(X1)
        & X0 = X1 )
     => ~ rless(X0,X0) ),
    inference(rectify,[],[f33]) ).

fof(f300,plain,
    ! [X0,X1] :
      ( ~ rless(X0,X0)
      | ~ rreal(X1)
      | X0 != X1 ),
    inference(ennf_transformation,[],[f155]) ).

fof(f301,plain,
    ! [X0,X1] :
      ( ~ rless(X0,X0)
      | ~ rreal(X1)
      | X0 != X1 ),
    inference(flattening,[],[f300]) ).

fof(f653,plain,
    ! [X0,X1] :
      ( ~ rless(X0,X0)
      | ~ rreal(X1)
      | X0 != X1 ),
    inference(cnf_transformation,[],[f301]) ).

fof(f34,axiom,
    ! [X148,X149,X150,X151] :
      ( ( rreal(X149)
        & X148 = X149
        & rreal(X151)
        & X150 = X151
        & rless(X148,X150) )
     => ( X148 = X150
        | ~ rless(X150,X148) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(147), 0), imp(cond(axiom(147), 0)))') ).

fof(f1082,plain,
    ! [X1] :
      ( ~ rless(X1,X1)
      | ~ rreal(X1) ),
    inference(equality_resolution,[],[f653]) ).

fof(f156,plain,
    ! [X0,X1,X2,X3] :
      ( ( rreal(X1)
        & X0 = X1
        & rreal(X3)
        & X2 = X3
        & rless(X0,X2) )
     => ( X0 = X2
        | ~ rless(X2,X0) ) ),
    inference(rectify,[],[f34]) ).

fof(f302,plain,
    ! [X0,X1,X2,X3] :
      ( X0 = X2
      | ~ rless(X2,X0)
      | ~ rreal(X1)
      | X0 != X1
      | ~ rreal(X3)
      | X2 != X3
      | ~ rless(X0,X2) ),
    inference(ennf_transformation,[],[f156]) ).

fof(f303,plain,
    ! [X0,X1,X2,X3] :
      ( X0 = X2
      | ~ rless(X2,X0)
      | ~ rreal(X1)
      | X0 != X1
      | ~ rreal(X3)
      | X2 != X3
      | ~ rless(X0,X2) ),
    inference(flattening,[],[f302]) ).

fof(f654,plain,
    ! [X2,X3,X0,X1] :
      ( X0 = X2
      | ~ rless(X2,X0)
      | ~ rreal(X1)
      | X0 != X1
      | ~ rreal(X3)
      | X2 != X3
      | ~ rless(X0,X2) ),
    inference(cnf_transformation,[],[f303]) ).

fof(f1083,plain,
    ! [X2,X3,X1] :
      ( X1 = X2
      | ~ rless(X2,X1)
      | ~ rreal(X1)
      | ~ rreal(X3)
      | X2 != X3
      | ~ rless(X1,X2) ),
    inference(equality_resolution,[],[f654]) ).

fof(f35,axiom,
    ! [X152,X153,X154,X155] :
      ( ( rreal(X153)
        & X152 = X153
        & rreal(X155)
        & X154 = X155 )
     => vplus(X152,X154) = vplus(X154,X152) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(143), 0), imp(cond(axiom(143), 0)))') ).

fof(f1084,plain,
    ! [X3,X1] :
      ( X1 = X3
      | ~ rless(X3,X1)
      | ~ rreal(X1)
      | ~ rreal(X3)
      | ~ rless(X1,X3) ),
    inference(equality_resolution,[],[f1083]) ).

fof(f157,plain,
    ! [X0,X1,X2,X3] :
      ( ( rreal(X1)
        & X0 = X1
        & rreal(X3)
        & X2 = X3 )
     => vplus(X0,X2) = vplus(X2,X0) ),
    inference(rectify,[],[f35]) ).

fof(f304,plain,
    ! [X0,X1,X2,X3] :
      ( vplus(X0,X2) = vplus(X2,X0)
      | ~ rreal(X1)
      | X0 != X1
      | ~ rreal(X3)
      | X2 != X3 ),
    inference(ennf_transformation,[],[f157]) ).

fof(f305,plain,
    ! [X0,X1,X2,X3] :
      ( vplus(X0,X2) = vplus(X2,X0)
      | ~ rreal(X1)
      | X0 != X1
      | ~ rreal(X3)
      | X2 != X3 ),
    inference(flattening,[],[f304]) ).

fof(f655,plain,
    ! [X2,X3,X0,X1] :
      ( vplus(X0,X2) = vplus(X2,X0)
      | ~ rreal(X1)
      | X0 != X1
      | ~ rreal(X3)
      | X2 != X3 ),
    inference(cnf_transformation,[],[f305]) ).

fof(f1085,plain,
    ! [X2,X3,X1] :
      ( vplus(X1,X2) = vplus(X2,X1)
      | ~ rreal(X1)
      | ~ rreal(X3)
      | X2 != X3 ),
    inference(equality_resolution,[],[f655]) ).

fof(f36,axiom,
    ! [X156,X157] :
      ( ( rreal(X157)
        & X156 = X157 )
     => vplus(X156,v0) = X156 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(141), 0), imp(cond(axiom(141), 0)))') ).

fof(f1086,plain,
    ! [X3,X1] :
      ( vplus(X1,X3) = vplus(X3,X1)
      | ~ rreal(X1)
      | ~ rreal(X3) ),
    inference(equality_resolution,[],[f1085]) ).

fof(f158,plain,
    ! [X0,X1] :
      ( ( rreal(X1)
        & X0 = X1 )
     => vplus(X0,v0) = X0 ),
    inference(rectify,[],[f36]) ).

fof(f306,plain,
    ! [X0,X1] :
      ( vplus(X0,v0) = X0
      | ~ rreal(X1)
      | X0 != X1 ),
    inference(ennf_transformation,[],[f158]) ).

fof(f307,plain,
    ! [X0,X1] :
      ( vplus(X0,v0) = X0
      | ~ rreal(X1)
      | X0 != X1 ),
    inference(flattening,[],[f306]) ).

fof(f656,plain,
    ! [X0,X1] :
      ( vplus(X0,v0) = X0
      | ~ rreal(X1)
      | X0 != X1 ),
    inference(cnf_transformation,[],[f307]) ).

fof(f1629,plain,
    ! [X2,X3,X10,X11,X1,X8,X6,X9,X7,X14,X4,X15,X5,X12,X13] :
      ( rintersect(X5,X6)
      | ~ rpoint(X8)
      | ~ rpoint(X9)
      | X1 != X9
      | ~ rpoint(X10)
      | X2 != X10
      | ~ rpoint(X11)
      | X3 != X11
      | ~ rpoint(X12)
      | X4 != X12
      | ~ rline(X13)
      | X5 != X13
      | ~ rline(X14)
      | X6 != X14
      | ~ rline(X15)
      | X7 != X15
      | ~ ron(X8,X5)
      | ~ ron(X1,X5)
      | ~ ron(X1,X6)
      | ~ ron(X2,X6)
      | ~ ron(X2,X7)
      | ~ ron(X3,X7)
      | X1 = X2
      | ~ rS(X8,X3,X6)
      | ~ rless(vplus(vangle(X8,X1,X2),vangle(X1,X2,X3)),vplus(vperp,vperp)) ),
    inference(equality_resolution,[],[f848]) ).

fof(f1630,plain,
    ! [X2,X3,X10,X11,X8,X6,X9,X7,X14,X4,X15,X5,X12,X13] :
      ( rintersect(X5,X6)
      | ~ rpoint(X8)
      | ~ rpoint(X9)
      | ~ rpoint(X10)
      | X2 != X10
      | ~ rpoint(X11)
      | X3 != X11
      | ~ rpoint(X12)
      | X4 != X12
      | ~ rline(X13)
      | X5 != X13
      | ~ rline(X14)
      | X6 != X14
      | ~ rline(X15)
      | X7 != X15
      | ~ ron(X8,X5)
      | ~ ron(X9,X5)
      | ~ ron(X9,X6)
      | ~ ron(X2,X6)
      | ~ ron(X2,X7)
      | ~ ron(X3,X7)
      | X2 = X9
      | ~ rS(X8,X3,X6)
      | ~ rless(vplus(vangle(X8,X9,X2),vangle(X9,X2,X3)),vplus(vperp,vperp)) ),
    inference(equality_resolution,[],[f1629]) ).

fof(f1631,plain,
    ! [X3,X10,X11,X8,X6,X9,X7,X14,X4,X15,X5,X12,X13] :
      ( rintersect(X5,X6)
      | ~ rpoint(X8)
      | ~ rpoint(X9)
      | ~ rpoint(X10)
      | ~ rpoint(X11)
      | X3 != X11
      | ~ rpoint(X12)
      | X4 != X12
      | ~ rline(X13)
      | X5 != X13
      | ~ rline(X14)
      | X6 != X14
      | ~ rline(X15)
      | X7 != X15
      | ~ ron(X8,X5)
      | ~ ron(X9,X5)
      | ~ ron(X9,X6)
      | ~ ron(X10,X6)
      | ~ ron(X10,X7)
      | ~ ron(X3,X7)
      | X9 = X10
      | ~ rS(X8,X3,X6)
      | ~ rless(vplus(vangle(X8,X9,X10),vangle(X9,X10,X3)),vplus(vperp,vperp)) ),
    inference(equality_resolution,[],[f1630]) ).

fof(f1632,plain,
    ! [X10,X11,X8,X6,X9,X7,X14,X4,X15,X5,X12,X13] :
      ( rintersect(X5,X6)
      | ~ rpoint(X8)
      | ~ rpoint(X9)
      | ~ rpoint(X10)
      | ~ rpoint(X11)
      | ~ rpoint(X12)
      | X4 != X12
      | ~ rline(X13)
      | X5 != X13
      | ~ rline(X14)
      | X6 != X14
      | ~ rline(X15)
      | X7 != X15
      | ~ ron(X8,X5)
      | ~ ron(X9,X5)
      | ~ ron(X9,X6)
      | ~ ron(X10,X6)
      | ~ ron(X10,X7)
      | ~ ron(X11,X7)
      | X9 = X10
      | ~ rS(X8,X11,X6)
      | ~ rless(vplus(vangle(X8,X9,X10),vangle(X9,X10,X11)),vplus(vperp,vperp)) ),
    inference(equality_resolution,[],[f1631]) ).

fof(f1633,plain,
    ! [X10,X11,X8,X6,X9,X7,X14,X15,X5,X12,X13] :
      ( rintersect(X5,X6)
      | ~ rpoint(X8)
      | ~ rpoint(X9)
      | ~ rpoint(X10)
      | ~ rpoint(X11)
      | ~ rpoint(X12)
      | ~ rline(X13)
      | X5 != X13
      | ~ rline(X14)
      | X6 != X14
      | ~ rline(X15)
      | X7 != X15
      | ~ ron(X8,X5)
      | ~ ron(X9,X5)
      | ~ ron(X9,X6)
      | ~ ron(X10,X6)
      | ~ ron(X10,X7)
      | ~ ron(X11,X7)
      | X9 = X10
      | ~ rS(X8,X11,X6)
      | ~ rless(vplus(vangle(X8,X9,X10),vangle(X9,X10,X11)),vplus(vperp,vperp)) ),
    inference(equality_resolution,[],[f1632]) ).

fof(f1634,plain,
    ! [X10,X11,X8,X6,X9,X7,X14,X15,X12,X13] :
      ( rintersect(X13,X6)
      | ~ rpoint(X8)
      | ~ rpoint(X9)
      | ~ rpoint(X10)
      | ~ rpoint(X11)
      | ~ rpoint(X12)
      | ~ rline(X13)
      | ~ rline(X14)
      | X6 != X14
      | ~ rline(X15)
      | X7 != X15
      | ~ ron(X8,X13)
      | ~ ron(X9,X13)
      | ~ ron(X9,X6)
      | ~ ron(X10,X6)
      | ~ ron(X10,X7)
      | ~ ron(X11,X7)
      | X9 = X10
      | ~ rS(X8,X11,X6)
      | ~ rless(vplus(vangle(X8,X9,X10),vangle(X9,X10,X11)),vplus(vperp,vperp)) ),
    inference(equality_resolution,[],[f1633]) ).

fof(f1635,plain,
    ! [X10,X11,X8,X9,X7,X14,X15,X12,X13] :
      ( rintersect(X13,X14)
      | ~ rpoint(X8)
      | ~ rpoint(X9)
      | ~ rpoint(X10)
      | ~ rpoint(X11)
      | ~ rpoint(X12)
      | ~ rline(X13)
      | ~ rline(X14)
      | ~ rline(X15)
      | X7 != X15
      | ~ ron(X8,X13)
      | ~ ron(X9,X13)
      | ~ ron(X9,X14)
      | ~ ron(X10,X14)
      | ~ ron(X10,X7)
      | ~ ron(X11,X7)
      | X9 = X10
      | ~ rS(X8,X11,X14)
      | ~ rless(vplus(vangle(X8,X9,X10),vangle(X9,X10,X11)),vplus(vperp,vperp)) ),
    inference(equality_resolution,[],[f1634]) ).

fof(f1637,plain,
    ! [X2,X3,X10,X11,X1,X8,X6,X9,X7,X14,X4,X15,X5,X12,X13] :
      ( rS(X4,X8,X6)
      | ~ ron(X4,X5)
      | ~ ron(X4,X6)
      | ~ rpoint(X8)
      | ~ rpoint(X9)
      | X1 != X9
      | ~ rpoint(X10)
      | X2 != X10
      | ~ rpoint(X11)
      | X3 != X11
      | ~ rpoint(X12)
      | X4 != X12
      | ~ rline(X13)
      | X5 != X13
      | ~ rline(X14)
      | X6 != X14
      | ~ rline(X15)
      | X7 != X15
      | ~ ron(X8,X5)
      | ~ ron(X1,X5)
      | ~ ron(X1,X6)
      | ~ ron(X2,X6)
      | ~ ron(X2,X7)
      | ~ ron(X3,X7)
      | X1 = X2
      | ~ rS(X8,X3,X6)
      | ~ rless(vplus(vangle(X8,X1,X2),vangle(X1,X2,X3)),vplus(vperp,vperp)) ),
    inference(equality_resolution,[],[f847]) ).

fof(f1638,plain,
    ! [X2,X3,X10,X11,X8,X6,X9,X7,X14,X4,X15,X5,X12,X13] :
      ( rS(X4,X8,X6)
      | ~ ron(X4,X5)
      | ~ ron(X4,X6)
      | ~ rpoint(X8)
      | ~ rpoint(X9)
      | ~ rpoint(X10)
      | X2 != X10
      | ~ rpoint(X11)
      | X3 != X11
      | ~ rpoint(X12)
      | X4 != X12
      | ~ rline(X13)
      | X5 != X13
      | ~ rline(X14)
      | X6 != X14
      | ~ rline(X15)
      | X7 != X15
      | ~ ron(X8,X5)
      | ~ ron(X9,X5)
      | ~ ron(X9,X6)
      | ~ ron(X2,X6)
      | ~ ron(X2,X7)
      | ~ ron(X3,X7)
      | X2 = X9
      | ~ rS(X8,X3,X6)
      | ~ rless(vplus(vangle(X8,X9,X2),vangle(X9,X2,X3)),vplus(vperp,vperp)) ),
    inference(equality_resolution,[],[f1637]) ).

fof(f1639,plain,
    ! [X3,X10,X11,X8,X6,X9,X7,X14,X4,X15,X5,X12,X13] :
      ( rS(X4,X8,X6)
      | ~ ron(X4,X5)
      | ~ ron(X4,X6)
      | ~ rpoint(X8)
      | ~ rpoint(X9)
      | ~ rpoint(X10)
      | ~ rpoint(X11)
      | X3 != X11
      | ~ rpoint(X12)
      | X4 != X12
      | ~ rline(X13)
      | X5 != X13
      | ~ rline(X14)
      | X6 != X14
      | ~ rline(X15)
      | X7 != X15
      | ~ ron(X8,X5)
      | ~ ron(X9,X5)
      | ~ ron(X9,X6)
      | ~ ron(X10,X6)
      | ~ ron(X10,X7)
      | ~ ron(X3,X7)
      | X9 = X10
      | ~ rS(X8,X3,X6)
      | ~ rless(vplus(vangle(X8,X9,X10),vangle(X9,X10,X3)),vplus(vperp,vperp)) ),
    inference(equality_resolution,[],[f1638]) ).

fof(f1640,plain,
    ! [X10,X11,X8,X6,X9,X7,X14,X4,X15,X5,X12,X13] :
      ( rS(X4,X8,X6)
      | ~ ron(X4,X5)
      | ~ ron(X4,X6)
      | ~ rpoint(X8)
      | ~ rpoint(X9)
      | ~ rpoint(X10)
      | ~ rpoint(X11)
      | ~ rpoint(X12)
      | X4 != X12
      | ~ rline(X13)
      | X5 != X13
      | ~ rline(X14)
      | X6 != X14
      | ~ rline(X15)
      | X7 != X15
      | ~ ron(X8,X5)
      | ~ ron(X9,X5)
      | ~ ron(X9,X6)
      | ~ ron(X10,X6)
      | ~ ron(X10,X7)
      | ~ ron(X11,X7)
      | X9 = X10
      | ~ rS(X8,X11,X6)
      | ~ rless(vplus(vangle(X8,X9,X10),vangle(X9,X10,X11)),vplus(vperp,vperp)) ),
    inference(equality_resolution,[],[f1639]) ).

fof(f1641,plain,
    ! [X10,X11,X8,X6,X9,X7,X14,X15,X5,X12,X13] :
      ( rS(X12,X8,X6)
      | ~ ron(X12,X5)
      | ~ ron(X12,X6)
      | ~ rpoint(X8)
      | ~ rpoint(X9)
      | ~ rpoint(X10)
      | ~ rpoint(X11)
      | ~ rpoint(X12)
      | ~ rline(X13)
      | X5 != X13
      | ~ rline(X14)
      | X6 != X14
      | ~ rline(X15)
      | X7 != X15
      | ~ ron(X8,X5)
      | ~ ron(X9,X5)
      | ~ ron(X9,X6)
      | ~ ron(X10,X6)
      | ~ ron(X10,X7)
      | ~ ron(X11,X7)
      | X9 = X10
      | ~ rS(X8,X11,X6)
      | ~ rless(vplus(vangle(X8,X9,X10),vangle(X9,X10,X11)),vplus(vperp,vperp)) ),
    inference(equality_resolution,[],[f1640]) ).

fof(f1642,plain,
    ! [X10,X11,X8,X6,X9,X7,X14,X15,X12,X13] :
      ( rS(X12,X8,X6)
      | ~ ron(X12,X13)
      | ~ ron(X12,X6)
      | ~ rpoint(X8)
      | ~ rpoint(X9)
      | ~ rpoint(X10)
      | ~ rpoint(X11)
      | ~ rpoint(X12)
      | ~ rline(X13)
      | ~ rline(X14)
      | X6 != X14
      | ~ rline(X15)
      | X7 != X15
      | ~ ron(X8,X13)
      | ~ ron(X9,X13)
      | ~ ron(X9,X6)
      | ~ ron(X10,X6)
      | ~ ron(X10,X7)
      | ~ ron(X11,X7)
      | X9 = X10
      | ~ rS(X8,X11,X6)
      | ~ rless(vplus(vangle(X8,X9,X10),vangle(X9,X10,X11)),vplus(vperp,vperp)) ),
    inference(equality_resolution,[],[f1641]) ).

fof(f1643,plain,
    ! [X10,X11,X8,X9,X7,X14,X15,X12,X13] :
      ( rS(X12,X8,X14)
      | ~ ron(X12,X13)
      | ~ ron(X12,X14)
      | ~ rpoint(X8)
      | ~ rpoint(X9)
      | ~ rpoint(X10)
      | ~ rpoint(X11)
      | ~ rpoint(X12)
      | ~ rline(X13)
      | ~ rline(X14)
      | ~ rline(X15)
      | X7 != X15
      | ~ ron(X8,X13)
      | ~ ron(X9,X13)
      | ~ ron(X9,X14)
      | ~ ron(X10,X14)
      | ~ ron(X10,X7)
      | ~ ron(X11,X7)
      | X9 = X10
      | ~ rS(X8,X11,X14)
      | ~ rless(vplus(vangle(X8,X9,X10),vangle(X9,X10,X11)),vplus(vperp,vperp)) ),
    inference(equality_resolution,[],[f1642]) ).

fof(f126,axiom,
    ! [X761,X762] :
      ( ( ? [X764] :
            ( rpoint(X764)
            & X761 = X764 )
        & ? [X763] :
            ( rpoint(X763)
            & X762 = X763 ) )
     => v0 = vg(X761,X761,X762) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(172), 0), imp(cond(axiom(172), 0)))') ).

fof(f1644,plain,
    ! [X10,X11,X8,X9,X14,X15,X12,X13] :
      ( rS(X12,X8,X14)
      | ~ ron(X12,X13)
      | ~ ron(X12,X14)
      | ~ rpoint(X8)
      | ~ rpoint(X9)
      | ~ rpoint(X10)
      | ~ rpoint(X11)
      | ~ rpoint(X12)
      | ~ rline(X13)
      | ~ rline(X14)
      | ~ rline(X15)
      | ~ ron(X8,X13)
      | ~ ron(X9,X13)
      | ~ ron(X9,X14)
      | ~ ron(X10,X14)
      | ~ ron(X10,X15)
      | ~ ron(X11,X15)
      | X9 = X10
      | ~ rS(X8,X11,X14)
      | ~ rless(vplus(vangle(X8,X9,X10),vangle(X9,X10,X11)),vplus(vperp,vperp)) ),
    inference(equality_resolution,[],[f1643]) ).

fof(f241,plain,
    ! [X0,X1] :
      ( ( ? [X2] :
            ( rpoint(X2)
            & X0 = X2 )
        & ? [X3] :
            ( rpoint(X3)
            & X1 = X3 ) )
     => v0 = vg(X0,X0,X1) ),
    inference(rectify,[],[f126]) ).

fof(f460,plain,
    ! [X0,X1] :
      ( v0 = vg(X0,X0,X1)
      | ! [X2] :
          ( ~ rpoint(X2)
          | X0 != X2 )
      | ! [X3] :
          ( ~ rpoint(X3)
          | X1 != X3 ) ),
    inference(ennf_transformation,[],[f241]) ).

fof(f461,plain,
    ! [X0,X1] :
      ( v0 = vg(X0,X0,X1)
      | ! [X2] :
          ( ~ rpoint(X2)
          | X0 != X2 )
      | ! [X3] :
          ( ~ rpoint(X3)
          | X1 != X3 ) ),
    inference(flattening,[],[f460]) ).

fof(f37,axiom,
    v0 = vd684,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(axiom(137), 2)') ).

fof(f849,plain,
    ! [X2,X3,X0,X1] :
      ( v0 = vg(X0,X0,X1)
      | ~ rpoint(X2)
      | X0 != X2
      | ~ rpoint(X3)
      | X1 != X3 ),
    inference(cnf_transformation,[],[f461]) ).

fof(f657,plain,
    v0 = vd684,
    inference(cnf_transformation,[],[f37]) ).

fof(f859,plain,
    ! [X0,X1] :
      ( vplus(X0,vd684) = X0
      | ~ rreal(X1)
      | X0 != X1 ),
    inference(definition_unfolding,[],[f656,f657]) ).

fof(f38,axiom,
    rreal(vd684),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(axiom(137), 1)') ).

fof(f1087,plain,
    ! [X1] :
      ( vplus(X1,vd684) = X1
      | ~ rreal(X1) ),
    inference(equality_resolution,[],[f859]) ).

fof(f39,axiom,
    ! [X158,X159,X160,X161,X162] :
      ( ( ? [X165] :
            ( rpoint(X165)
            & X158 = X165 )
        & ? [X164] :
            ( rpoint(X164)
            & X159 = X164 )
        & ? [X163] :
            ( rpoint(X163)
            & X160 = X163 )
        & X158 != X159
        & X158 != X160
        & X159 != X160
        & rline(X162)
        & ron(X158,X161)
        & ron(X159,X161)
        & ron(X160,X161)
        & X161 = X162 )
     => ( rR(X160,X158,X159)
        | rR(X158,X159,X160)
        | rR(X159,X158,X160) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(91), 0), imp(cond(axiom(91), 0)))') ).

fof(f658,plain,
    rreal(vd684),
    inference(cnf_transformation,[],[f38]) ).

fof(f159,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ( ? [X5] :
            ( rpoint(X5)
            & X0 = X5 )
        & ? [X6] :
            ( rpoint(X6)
            & X1 = X6 )
        & ? [X7] :
            ( rpoint(X7)
            & X2 = X7 )
        & X0 != X1
        & X0 != X2
        & X1 != X2
        & rline(X4)
        & ron(X0,X3)
        & ron(X1,X3)
        & ron(X2,X3)
        & X3 = X4 )
     => ( rR(X2,X0,X1)
        | rR(X0,X1,X2)
        | rR(X1,X0,X2) ) ),
    inference(rectify,[],[f39]) ).

fof(f308,plain,
    ! [X0,X1,X2,X3,X4] :
      ( rR(X2,X0,X1)
      | rR(X0,X1,X2)
      | rR(X1,X0,X2)
      | ! [X5] :
          ( ~ rpoint(X5)
          | X0 != X5 )
      | ! [X6] :
          ( ~ rpoint(X6)
          | X1 != X6 )
      | ! [X7] :
          ( ~ rpoint(X7)
          | X2 != X7 )
      | X0 = X1
      | X0 = X2
      | X1 = X2
      | ~ rline(X4)
      | ~ ron(X0,X3)
      | ~ ron(X1,X3)
      | ~ ron(X2,X3)
      | X3 != X4 ),
    inference(ennf_transformation,[],[f159]) ).

fof(f309,plain,
    ! [X0,X1,X2,X3,X4] :
      ( rR(X2,X0,X1)
      | rR(X0,X1,X2)
      | rR(X1,X0,X2)
      | ! [X5] :
          ( ~ rpoint(X5)
          | X0 != X5 )
      | ! [X6] :
          ( ~ rpoint(X6)
          | X1 != X6 )
      | ! [X7] :
          ( ~ rpoint(X7)
          | X2 != X7 )
      | X0 = X1
      | X0 = X2
      | X1 = X2
      | ~ rline(X4)
      | ~ ron(X0,X3)
      | ~ ron(X1,X3)
      | ~ ron(X2,X3)
      | X3 != X4 ),
    inference(flattening,[],[f308]) ).

fof(f659,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( rR(X2,X0,X1)
      | rR(X0,X1,X2)
      | rR(X1,X0,X2)
      | ~ rpoint(X5)
      | X0 != X5
      | ~ rpoint(X6)
      | X1 != X6
      | ~ rpoint(X7)
      | X2 != X7
      | X0 = X1
      | X0 = X2
      | X1 = X2
      | ~ rline(X4)
      | ~ ron(X0,X3)
      | ~ ron(X1,X3)
      | ~ ron(X2,X3)
      | X3 != X4 ),
    inference(cnf_transformation,[],[f309]) ).

fof(f1088,plain,
    ! [X2,X3,X1,X6,X7,X4,X5] :
      ( rR(X2,X5,X1)
      | rR(X5,X1,X2)
      | rR(X1,X5,X2)
      | ~ rpoint(X5)
      | ~ rpoint(X6)
      | X1 != X6
      | ~ rpoint(X7)
      | X2 != X7
      | X1 = X5
      | X2 = X5
      | X1 = X2
      | ~ rline(X4)
      | ~ ron(X5,X3)
      | ~ ron(X1,X3)
      | ~ ron(X2,X3)
      | X3 != X4 ),
    inference(equality_resolution,[],[f659]) ).

fof(f1089,plain,
    ! [X2,X3,X6,X7,X4,X5] :
      ( rR(X2,X5,X6)
      | rR(X5,X6,X2)
      | rR(X6,X5,X2)
      | ~ rpoint(X5)
      | ~ rpoint(X6)
      | ~ rpoint(X7)
      | X2 != X7
      | X5 = X6
      | X2 = X5
      | X2 = X6
      | ~ rline(X4)
      | ~ ron(X5,X3)
      | ~ ron(X6,X3)
      | ~ ron(X2,X3)
      | X3 != X4 ),
    inference(equality_resolution,[],[f1088]) ).

fof(f1090,plain,
    ! [X3,X6,X7,X4,X5] :
      ( rR(X7,X5,X6)
      | rR(X5,X6,X7)
      | rR(X6,X5,X7)
      | ~ rpoint(X5)
      | ~ rpoint(X6)
      | ~ rpoint(X7)
      | X5 = X6
      | X5 = X7
      | X6 = X7
      | ~ rline(X4)
      | ~ ron(X5,X3)
      | ~ ron(X6,X3)
      | ~ ron(X7,X3)
      | X3 != X4 ),
    inference(equality_resolution,[],[f1089]) ).

fof(f40,axiom,
    ! [X166,X167,X168,X169,X170] :
      ( ( ? [X173] :
            ( rpoint(X173)
            & X166 = X173 )
        & ? [X172] :
            ( rpoint(X172)
            & X167 = X172 )
        & ? [X171] :
            ( rpoint(X171)
            & X168 = X171 )
        & rline(X170)
        & rR(X167,X166,X168)
        & ron(X166,X169)
        & ron(X167,X169)
        & X169 = X170 )
     => ron(X168,X169) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(83), 0), imp(cond(axiom(83), 0)))') ).

fof(f1091,plain,
    ! [X6,X7,X4,X5] :
      ( rR(X7,X5,X6)
      | rR(X5,X6,X7)
      | rR(X6,X5,X7)
      | ~ rpoint(X5)
      | ~ rpoint(X6)
      | ~ rpoint(X7)
      | X5 = X6
      | X5 = X7
      | X6 = X7
      | ~ rline(X4)
      | ~ ron(X5,X4)
      | ~ ron(X6,X4)
      | ~ ron(X7,X4) ),
    inference(equality_resolution,[],[f1090]) ).

fof(f160,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ( ? [X5] :
            ( rpoint(X5)
            & X0 = X5 )
        & ? [X6] :
            ( rpoint(X6)
            & X1 = X6 )
        & ? [X7] :
            ( rpoint(X7)
            & X2 = X7 )
        & rline(X4)
        & rR(X1,X0,X2)
        & ron(X0,X3)
        & ron(X1,X3)
        & X3 = X4 )
     => ron(X2,X3) ),
    inference(rectify,[],[f40]) ).

fof(f310,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ron(X2,X3)
      | ! [X5] :
          ( ~ rpoint(X5)
          | X0 != X5 )
      | ! [X6] :
          ( ~ rpoint(X6)
          | X1 != X6 )
      | ! [X7] :
          ( ~ rpoint(X7)
          | X2 != X7 )
      | ~ rline(X4)
      | ~ rR(X1,X0,X2)
      | ~ ron(X0,X3)
      | ~ ron(X1,X3)
      | X3 != X4 ),
    inference(ennf_transformation,[],[f160]) ).

fof(f311,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ron(X2,X3)
      | ! [X5] :
          ( ~ rpoint(X5)
          | X0 != X5 )
      | ! [X6] :
          ( ~ rpoint(X6)
          | X1 != X6 )
      | ! [X7] :
          ( ~ rpoint(X7)
          | X2 != X7 )
      | ~ rline(X4)
      | ~ rR(X1,X0,X2)
      | ~ ron(X0,X3)
      | ~ ron(X1,X3)
      | X3 != X4 ),
    inference(flattening,[],[f310]) ).

fof(f660,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( ron(X2,X3)
      | ~ rpoint(X5)
      | X0 != X5
      | ~ rpoint(X6)
      | X1 != X6
      | ~ rpoint(X7)
      | X2 != X7
      | ~ rline(X4)
      | ~ rR(X1,X0,X2)
      | ~ ron(X0,X3)
      | ~ ron(X1,X3)
      | X3 != X4 ),
    inference(cnf_transformation,[],[f311]) ).

fof(f1092,plain,
    ! [X2,X3,X1,X6,X7,X4,X5] :
      ( ron(X2,X3)
      | ~ rpoint(X5)
      | ~ rpoint(X6)
      | X1 != X6
      | ~ rpoint(X7)
      | X2 != X7
      | ~ rline(X4)
      | ~ rR(X1,X5,X2)
      | ~ ron(X5,X3)
      | ~ ron(X1,X3)
      | X3 != X4 ),
    inference(equality_resolution,[],[f660]) ).

fof(f1093,plain,
    ! [X2,X3,X6,X7,X4,X5] :
      ( ron(X2,X3)
      | ~ rpoint(X5)
      | ~ rpoint(X6)
      | ~ rpoint(X7)
      | X2 != X7
      | ~ rline(X4)
      | ~ rR(X6,X5,X2)
      | ~ ron(X5,X3)
      | ~ ron(X6,X3)
      | X3 != X4 ),
    inference(equality_resolution,[],[f1092]) ).

fof(f1094,plain,
    ! [X3,X6,X7,X4,X5] :
      ( ron(X7,X3)
      | ~ rpoint(X5)
      | ~ rpoint(X6)
      | ~ rpoint(X7)
      | ~ rline(X4)
      | ~ rR(X6,X5,X7)
      | ~ ron(X5,X3)
      | ~ ron(X6,X3)
      | X3 != X4 ),
    inference(equality_resolution,[],[f1093]) ).

fof(f41,axiom,
    ! [X174,X175,X176,X177] :
      ( ( ? [X181] :
            ( rpoint(X181)
            & X174 = X181 )
        & ? [X180] :
            ( rpoint(X180)
            & X175 = X180 )
        & X174 != X175
        & ? [X179] :
            ( rline(X179)
            & X176 = X179 )
        & ? [X178] :
            ( rline(X178)
            & X177 = X178 )
        & ron(X174,X176)
        & ron(X174,X177)
        & ron(X175,X176)
        & ron(X175,X177) )
     => X176 = X177 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(73), 0), imp(cond(axiom(73), 0)))') ).

fof(f1095,plain,
    ! [X6,X7,X4,X5] :
      ( ron(X7,X4)
      | ~ rpoint(X5)
      | ~ rpoint(X6)
      | ~ rpoint(X7)
      | ~ rline(X4)
      | ~ rR(X6,X5,X7)
      | ~ ron(X5,X4)
      | ~ ron(X6,X4) ),
    inference(equality_resolution,[],[f1094]) ).

fof(f161,plain,
    ! [X0,X1,X2,X3] :
      ( ( ? [X4] :
            ( rpoint(X4)
            & X0 = X4 )
        & ? [X5] :
            ( rpoint(X5)
            & X1 = X5 )
        & X0 != X1
        & ? [X6] :
            ( rline(X6)
            & X2 = X6 )
        & ? [X7] :
            ( rline(X7)
            & X3 = X7 )
        & ron(X0,X2)
        & ron(X0,X3)
        & ron(X1,X2)
        & ron(X1,X3) )
     => X2 = X3 ),
    inference(rectify,[],[f41]) ).

fof(f312,plain,
    ! [X0,X1,X2,X3] :
      ( X2 = X3
      | ! [X4] :
          ( ~ rpoint(X4)
          | X0 != X4 )
      | ! [X5] :
          ( ~ rpoint(X5)
          | X1 != X5 )
      | X0 = X1
      | ! [X6] :
          ( ~ rline(X6)
          | X2 != X6 )
      | ! [X7] :
          ( ~ rline(X7)
          | X3 != X7 )
      | ~ ron(X0,X2)
      | ~ ron(X0,X3)
      | ~ ron(X1,X2)
      | ~ ron(X1,X3) ),
    inference(ennf_transformation,[],[f161]) ).

fof(f313,plain,
    ! [X0,X1,X2,X3] :
      ( X2 = X3
      | ! [X4] :
          ( ~ rpoint(X4)
          | X0 != X4 )
      | ! [X5] :
          ( ~ rpoint(X5)
          | X1 != X5 )
      | X0 = X1
      | ! [X6] :
          ( ~ rline(X6)
          | X2 != X6 )
      | ! [X7] :
          ( ~ rline(X7)
          | X3 != X7 )
      | ~ ron(X0,X2)
      | ~ ron(X0,X3)
      | ~ ron(X1,X2)
      | ~ ron(X1,X3) ),
    inference(flattening,[],[f312]) ).

fof(f661,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( X2 = X3
      | ~ rpoint(X4)
      | X0 != X4
      | ~ rpoint(X5)
      | X1 != X5
      | X0 = X1
      | ~ rline(X6)
      | X2 != X6
      | ~ rline(X7)
      | X3 != X7
      | ~ ron(X0,X2)
      | ~ ron(X0,X3)
      | ~ ron(X1,X2)
      | ~ ron(X1,X3) ),
    inference(cnf_transformation,[],[f313]) ).

fof(f1096,plain,
    ! [X2,X3,X1,X6,X7,X4,X5] :
      ( X2 = X3
      | ~ rpoint(X4)
      | ~ rpoint(X5)
      | X1 != X5
      | X1 = X4
      | ~ rline(X6)
      | X2 != X6
      | ~ rline(X7)
      | X3 != X7
      | ~ ron(X4,X2)
      | ~ ron(X4,X3)
      | ~ ron(X1,X2)
      | ~ ron(X1,X3) ),
    inference(equality_resolution,[],[f661]) ).

fof(f1097,plain,
    ! [X2,X3,X6,X7,X4,X5] :
      ( X2 = X3
      | ~ rpoint(X4)
      | ~ rpoint(X5)
      | X4 = X5
      | ~ rline(X6)
      | X2 != X6
      | ~ rline(X7)
      | X3 != X7
      | ~ ron(X4,X2)
      | ~ ron(X4,X3)
      | ~ ron(X5,X2)
      | ~ ron(X5,X3) ),
    inference(equality_resolution,[],[f1096]) ).

fof(f1098,plain,
    ! [X3,X6,X7,X4,X5] :
      ( X3 = X6
      | ~ rpoint(X4)
      | ~ rpoint(X5)
      | X4 = X5
      | ~ rline(X6)
      | ~ rline(X7)
      | X3 != X7
      | ~ ron(X4,X6)
      | ~ ron(X4,X3)
      | ~ ron(X5,X6)
      | ~ ron(X5,X3) ),
    inference(equality_resolution,[],[f1097]) ).

fof(f42,axiom,
    vangle(vd1361,vd1362,vd1363) = vangle(vd1361,vd1363,vd1362),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(386, 1365, 0)') ).

fof(f1099,plain,
    ! [X6,X7,X4,X5] :
      ( X6 = X7
      | ~ rpoint(X4)
      | ~ rpoint(X5)
      | X4 = X5
      | ~ rline(X6)
      | ~ rline(X7)
      | ~ ron(X4,X6)
      | ~ ron(X4,X7)
      | ~ ron(X5,X6)
      | ~ ron(X5,X7) ),
    inference(equality_resolution,[],[f1098]) ).

fof(f662,plain,
    vangle(vd1361,vd1362,vd1363) = vangle(vd1361,vd1363,vd1362),
    inference(cnf_transformation,[],[f42]) ).

fof(f43,axiom,
    vd1363 != vd1362,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(386, 9)') ).

fof(f860,plain,
    vangle(sK11,sK1,sK10) = vangle(sK11,sK10,sK1),
    inference(definition_unfolding,[],[f662,f668,f600,f666,f668,f666,f600]) ).

fof(f663,plain,
    vd1363 != vd1362,
    inference(cnf_transformation,[],[f43]) ).

fof(f44,axiom,
    vd1363 != vd1361,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(386, 8)') ).

fof(f861,plain,
    sK1 != sK10,
    inference(definition_unfolding,[],[f663,f666,f600]) ).

fof(f664,plain,
    vd1363 != vd1361,
    inference(cnf_transformation,[],[f44]) ).

fof(f45,axiom,
    vd1361 != vd1362,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(386, 7)') ).

fof(f862,plain,
    sK10 != sK11,
    inference(definition_unfolding,[],[f664,f666,f668]) ).

fof(f665,plain,
    vd1361 != vd1362,
    inference(cnf_transformation,[],[f45]) ).

fof(f863,plain,
    sK1 != sK11,
    inference(definition_unfolding,[],[f665,f668,f600]) ).

cnf(c_68,plain,
    ( ~ rpoint(X0)
    | ~ rpoint(X1)
    | vf(X0,X1) = vf(X1,X0) ),
    inference(cnf_transformation,[],[f921]) ).

cnf(c_76,plain,
    ( ~ rR(X0,X1,X2)
    | ~ rpoint(X0)
    | ~ rpoint(X1)
    | ~ rpoint(X2)
    | rR(X0,X2,X1) ),
    inference(cnf_transformation,[],[f947]) ).

cnf(c_123,plain,
    sK11 != sK1,
    inference(cnf_transformation,[],[f863]) ).

cnf(c_10059,plain,
    sK11 != sK1,
    inference(subtyping,[status(esa)],[c_123]) ).

cnf(c_10106,plain,
    ( ~ rR(X0_13,X1_13,X2_13)
    | ~ rpoint(X0_13)
    | ~ rpoint(X1_13)
    | ~ rpoint(X2_13)
    | rR(X0_13,X2_13,X1_13) ),
    inference(subtyping,[status(esa)],[c_76]) ).

cnf(c_10113,plain,
    ( ~ rpoint(X0_13)
    | ~ rpoint(X1_13)
    | vf(X0_13,X1_13) = vf(X1_13,X0_13) ),
    inference(subtyping,[status(esa)],[c_68]) ).

cnf(c_17376,plain,
    ( ~ rpoint(sK11)
    | ~ rpoint(sK10)
    | vf(sK10,sK11) = vf(sK11,sK10) ),
    inference(instantiation,[status(thm)],[c_10113]) ).

cnf(c_533088,plain,
    ( ~ rpoint(X0_13)
    | vf(X0_13,sK10) = vf(sK10,X0_13) ),
    inference(superposition,[status(thm)],[c_10058,c_10113]) ).

cnf(c_533136,plain,
    vf(sK11,sK10) = vf(sK10,sK11),
    inference(superposition,[status(thm)],[c_10057,c_533088]) ).

cnf(c_533779,plain,
    ( ~ rless(vf(X0_13,X1_13),vf(sK11,sK10))
    | ~ rpoint(X0_13)
    | ~ rpoint(X1_13)
    | ~ rpoint(sK11)
    | ~ rpoint(sK10)
    | vf(sK10,vskolem1120(sK10,sK10,sK11,sK11,X0_13,X0_13,X1_13,X1_13)) = vf(X0_13,X1_13)
    | X0_13 = X1_13
    | sK11 = sK10 ),
    inference(superposition,[status(thm)],[c_533136,c_10129]) ).

cnf(c_535211,plain,
    ( ~ rR(vskolem1120(sK10,sK10,sK11,sK11,sK11,sK11,sK1,sK1),sK10,sK11)
    | ~ rpoint(vskolem1120(sK10,sK10,sK11,sK11,sK11,sK11,sK1,sK1))
    | ~ rpoint(sK11)
    | ~ rpoint(sK10)
    | rR(vskolem1120(sK10,sK10,sK11,sK11,sK11,sK11,sK1,sK1),sK11,sK10) ),
    inference(instantiation,[status(thm)],[c_10106]) ).

cnf(c_551038,plain,
    ( X0_13 = X1_13
    | vf(sK10,vskolem1120(sK10,sK10,sK11,sK11,X0_13,X0_13,X1_13,X1_13)) = vf(X0_13,X1_13)
    | ~ rpoint(X1_13)
    | ~ rpoint(X0_13)
    | ~ rless(vf(X0_13,X1_13),vf(sK11,sK10)) ),
    inference(global_subsumption_just,[status(thm)],[c_533779,c_125,c_124,c_10060,c_533779]) ).

cnf(c_551039,plain,
    ( ~ rless(vf(X0_13,X1_13),vf(sK11,sK10))
    | ~ rpoint(X0_13)
    | ~ rpoint(X1_13)
    | vf(sK10,vskolem1120(sK10,sK10,sK11,sK11,X0_13,X0_13,X1_13,X1_13)) = vf(X0_13,X1_13)
    | X0_13 = X1_13 ),
    inference(renaming,[status(thm)],[c_551038]) ).

cnf(c_551040,plain,
    ( ~ rpoint(sK11)
    | ~ rpoint(sK1)
    | vf(sK10,vskolem1120(sK10,sK10,sK11,sK11,sK11,sK11,sK1,sK1)) = vf(sK11,sK1)
    | sK11 = sK1 ),
    inference(superposition,[status(thm)],[c_10131,c_551039]) ).

cnf(c_551188,plain,
    vf(sK10,vskolem1120(sK10,sK10,sK11,sK11,sK11,sK11,sK1,sK1)) = vf(sK11,sK1),
    inference(global_subsumption_just,[status(thm)],[c_551040,c_125,c_124,c_60,c_50,c_10175,c_10059,c_10060,c_17317,c_17376,c_17419,c_17420,c_534075]) ).

cnf(c_551316,plain,
    ( ~ rR(vskolem1120(sK10,sK10,sK11,sK11,sK11,sK11,sK1,sK1),sK11,sK10)
    | ~ rpoint(vskolem1120(sK10,sK10,sK11,sK11,sK11,sK11,sK1,sK1)) ),
    inference(superposition,[status(thm)],[c_551188,c_10132]) ).

cnf(c_551705,plain,
    ~ rpoint(vskolem1120(sK10,sK10,sK11,sK11,sK11,sK11,sK1,sK1)),
    inference(global_subsumption_just,[status(thm)],[c_551316,c_125,c_124,c_60,c_50,c_10175,c_10059,c_10060,c_17317,c_17376,c_17419,c_17420,c_534076,c_535211,c_551316]) ).

cnf(c_931131,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_931130,c_551705,c_17420,c_17419,c_17376,c_17317,c_10060,c_10059,c_10175,c_50,c_60,c_124,c_125]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GEO336+1 : TPTP v8.1.2. Released v4.1.0.
% 0.07/0.13  % Command  : run_iprover %s %d THM
% 0.14/0.34  % Computer : n017.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Tue Aug 29 21:48:14 EDT 2023
% 0.14/0.34  % CPUTime  : 
% 0.21/0.47  Running first-order theorem proving
% 0.21/0.47  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 235.47/31.85  % SZS status Started for theBenchmark.p
% 235.47/31.85  % SZS status Theorem for theBenchmark.p
% 235.47/31.85  
% 235.47/31.85  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 235.47/31.85  
% 235.47/31.85  ------  iProver source info
% 235.47/31.85  
% 235.47/31.85  git: date: 2023-05-31 18:12:56 +0000
% 235.47/31.85  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 235.47/31.85  git: non_committed_changes: false
% 235.47/31.85  git: last_make_outside_of_git: false
% 235.47/31.85  
% 235.47/31.85  ------ Parsing...
% 235.47/31.85  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 235.47/31.85  
% 235.47/31.85  ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe_e  sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe_e 
% 235.47/31.85  
% 235.47/31.85  ------ Preprocessing... gs_s  sp: 14 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 235.47/31.85  
% 235.47/31.85  ------ Preprocessing... sf_s  rm: 8 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 235.47/31.85  ------ Proving...
% 235.47/31.85  ------ Problem Properties 
% 235.47/31.85  
% 235.47/31.85  
% 235.47/31.85  clauses                                 263
% 235.47/31.85  conjectures                             1
% 235.47/31.85  EPR                                     59
% 235.47/31.85  Horn                                    168
% 235.47/31.85  unary                                   12
% 235.47/31.85  binary                                  42
% 235.47/31.85  lits                                    1686
% 235.47/31.85  lits eq                                 277
% 235.47/31.85  fd_pure                                 0
% 235.47/31.85  fd_pseudo                               0
% 235.47/31.85  fd_cond                                 0
% 235.47/31.85  fd_pseudo_cond                          64
% 235.47/31.85  AC symbols                              0
% 235.47/31.85  
% 235.47/31.85  ------ Input Options Time Limit: Unbounded
% 235.47/31.85  
% 235.47/31.85  
% 235.47/31.85  ------ 
% 235.47/31.85  Current options:
% 235.47/31.85  ------ 
% 235.47/31.85  
% 235.47/31.85  
% 235.47/31.85  
% 235.47/31.85  
% 235.47/31.85  ------ Proving...
% 235.47/31.85  
% 235.47/31.85  
% 235.47/31.85  ------ Proving...
% 235.47/31.85  
% 235.47/31.85  
% 235.47/31.85  ------ Proving...
% 235.47/31.85  
% 235.47/31.85  
% 235.47/31.85  ------ Proving...
% 235.47/31.85  
% 235.47/31.85  
% 235.47/31.85  ------ Proving...
% 235.47/31.85  
% 235.47/31.85  
% 235.47/31.85  ------ Proving...
% 235.47/31.85  
% 235.47/31.85  
% 235.47/31.85  ------ Proving...
% 235.47/31.85  
% 235.47/31.85  
% 235.47/31.85  ------ Proving...
% 235.47/31.85  
% 235.47/31.85  
% 235.47/31.85  ------ Proving...
% 235.47/31.85  
% 235.47/31.85  
% 235.47/31.85  ------ Proving...
% 235.47/31.85  
% 235.47/31.85  
% 235.47/31.85  ------ Proving...
% 235.47/31.85  
% 235.47/31.85  
% 235.47/31.85  ------ Proving...
% 235.47/31.85  
% 235.47/31.85  
% 235.47/31.85  % SZS status Theorem for theBenchmark.p
% 235.47/31.85  
% 235.47/31.85  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 235.47/31.85  
% 235.47/31.86  
%------------------------------------------------------------------------------