TSTP Solution File: GEO274+1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : GEO274+1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n028.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 23:10:49 EDT 2023

% Result   : Theorem 27.62s 4.67s
% Output   : CNFRefutation 27.62s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named f1483)

% Comments : 
%------------------------------------------------------------------------------
fof(f10,axiom,
    ? [X1] :
      ( rpoint(X1)
      & vd1080 = X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qe(s1(plural(224)))') ).

fof(f119,plain,
    ? [X0] :
      ( rpoint(X0)
      & vd1080 = X0 ),
    inference(rectify,[],[f10]) ).

fof(f425,plain,
    ( ? [X0] :
        ( vd1092 != X0
        & rline(X0)
        & ron(vd1080,X0)
        & ron(vd1089,X0) )
   => ( vd1092 != sK1
      & rline(sK1)
      & ron(vd1080,sK1)
      & ron(vd1089,sK1) ) ),
    introduced(choice_axiom,[]) ).

fof(f427,plain,
    ( ? [X0] :
        ( rpoint(X0)
        & vd1080 = X0 )
   => ( rpoint(sK2)
      & vd1080 = sK2 ) ),
    introduced(choice_axiom,[]) ).

fof(f428,plain,
    ( rpoint(sK2)
    & vd1080 = sK2 ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f119,f427]) ).

fof(f11,axiom,
    ! [X2,X3] :
      ( ( ? [X5] :
            ( rpoint(X5)
            & X2 = X5 )
        & ? [X4] :
            ( rpoint(X4)
            & X3 = X4 ) )
     => vf(X2,X3) = vf(X3,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(166), 0), imp(cond(axiom(166), 0)))') ).

fof(f554,plain,
    rpoint(sK2),
    inference(cnf_transformation,[],[f428]) ).

fof(f120,plain,
    ! [X0,X1] :
      ( ( ? [X2] :
            ( rpoint(X2)
            & X0 = X2 )
        & ? [X3] :
            ( rpoint(X3)
            & X1 = X3 ) )
     => vf(X0,X1) = vf(X1,X0) ),
    inference(rectify,[],[f11]) ).

fof(f229,plain,
    ! [X0,X1] :
      ( vf(X0,X1) = vf(X1,X0)
      | ! [X2] :
          ( ~ rpoint(X2)
          | X0 != X2 )
      | ! [X3] :
          ( ~ rpoint(X3)
          | X1 != X3 ) ),
    inference(ennf_transformation,[],[f120]) ).

fof(f230,plain,
    ! [X0,X1] :
      ( vf(X0,X1) = vf(X1,X0)
      | ! [X2] :
          ( ~ rpoint(X2)
          | X0 != X2 )
      | ! [X3] :
          ( ~ rpoint(X3)
          | X1 != X3 ) ),
    inference(flattening,[],[f229]) ).

fof(f431,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( rline(X2)
          & ron(X0,X2)
          & ron(X1,X2) )
     => ( rline(sK3(X0,X1))
        & ron(X0,sK3(X0,X1))
        & ron(X1,sK3(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f553,plain,
    vd1080 = sK2,
    inference(cnf_transformation,[],[f428]) ).

fof(f555,plain,
    ! [X2,X3,X0,X1] :
      ( vf(X0,X1) = vf(X1,X0)
      | ~ rpoint(X2)
      | X0 != X2
      | ~ rpoint(X3)
      | X1 != X3 ),
    inference(cnf_transformation,[],[f230]) ).

fof(f803,plain,
    ! [X2,X3,X1] :
      ( vf(X1,X2) = vf(X2,X1)
      | ~ rpoint(X2)
      | ~ rpoint(X3)
      | X1 != X3 ),
    inference(equality_resolution,[],[f555]) ).

fof(f804,plain,
    ! [X2,X3] :
      ( vf(X2,X3) = vf(X3,X2)
      | ~ rpoint(X2)
      | ~ rpoint(X3) ),
    inference(equality_resolution,[],[f803]) ).

cnf(c_51,negated_conjecture,
    ron(sK2,sK1),
    inference(cnf_transformation,[],[f787]) ).

cnf(c_54,plain,
    ron(sK2,vd1092),
    inference(cnf_transformation,[],[f788]) ).

cnf(c_55,plain,
    ron(vd1089,vd1092),
    inference(cnf_transformation,[],[f544]) ).

cnf(c_56,plain,
    vf(vd1089,sK2) = vf(vd1086,sK2),
    inference(cnf_transformation,[],[f789]) ).

cnf(c_58,plain,
    rpoint(vd1089),
    inference(cnf_transformation,[],[f549]) ).

cnf(c_59,plain,
    sK2 != vd1086,
    inference(cnf_transformation,[],[f791]) ).

cnf(c_61,plain,
    rpoint(sK2),
    inference(cnf_transformation,[],[f554]) ).

cnf(c_62,plain,
    ( ~ rpoint(X0)
    | ~ rpoint(X1)
    | vf(X0,X1) = vf(X1,X0) ),
    inference(cnf_transformation,[],[f804]) ).

cnf(c_63,plain,
    ( ~ rpoint(X0)
    | vf(X0,X0) = vd684 ),
    inference(cnf_transformation,[],[f1483]) ).

cnf(c_20909,plain,
    vf(sK2,sK2) = vd684,
    inference(superposition,[status(thm)],[c_61,c_63]) ).

cnf(c_21340,plain,
    ( ~ rpoint(X0)
    | vf(X0,vd1089) = vf(vd1089,X0) ),
    inference(superposition,[status(thm)],[c_58,c_62]) ).

cnf(c_23045,plain,
    vf(sK2,vd1089) = vf(vd1089,sK2),
    inference(superposition,[status(thm)],[c_61,c_21340]) ).

cnf(c_23132,plain,
    vf(sK2,vd1089) = vf(vd1086,sK2),
    inference(demodulation,[status(thm)],[c_56,c_23045]) ).

fof(f1,conjecture,
    ! [X0] :
      ( ( rline(X0)
        & ron(vd1080,X0)
        & ron(vd1089,X0) )
     => vd1092 = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(theu(the(227), 1), imp(the(227)))') ).

fof(f787,plain,
    ron(sK2,sK1),
    inference(definition_unfolding,[],[f541,f553]) ).

fof(f2,negated_conjecture,
    ~ ! [X0] :
        ( ( rline(X0)
          & ron(vd1080,X0)
          & ron(vd1089,X0) )
       => vd1092 = X0 ),
    inference(negated_conjecture,[],[f1]) ).

fof(f3,axiom,
    ( rline(vd1092)
    & ron(vd1080,vd1092)
    & ron(vd1089,vd1092) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','and(pred(s2(plural(the(227))), 0), and(pred(s1(plural(the(227))), 0), pred(the(227), 0)))') ).

fof(f788,plain,
    ron(sK2,vd1092),
    inference(definition_unfolding,[],[f545,f553]) ).

fof(f4,axiom,
    vf(vd1089,vd1080) = vf(vd1085,vd1080),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(226, 1090, 1)') ).

fof(f544,plain,
    ron(vd1089,vd1092),
    inference(cnf_transformation,[],[f3]) ).

fof(f13,axiom,
    ! [X10,X11] :
      ( ( ? [X13] :
            ( rpoint(X13)
            & X10 = X13 )
        & ? [X12] :
            ( rpoint(X12)
            & X11 = X12 )
        & X10 != X11 )
     => ? [X14] :
          ( rline(X14)
          & ron(X10,X14)
          & ron(X11,X14) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(51), 0), imp(cond(axiom(51), 0)))') ).

fof(f813,plain,
    ! [X3,X4] :
      ( ron(X3,sK3(X3,X4))
      | ~ rpoint(X3)
      | ~ rpoint(X4)
      | X3 = X4 ),
    inference(equality_resolution,[],[f812]) ).

fof(f44,axiom,
    ! [X181,X182,X183,X184,X185,X186,X187] :
      ( ( ? [X190] :
            ( rpoint(X190)
            & X181 = X190 )
        & ? [X189] :
            ( rpoint(X189)
            & X182 = X189 )
        & ? [X188] :
            ( rpoint(X188)
            & X183 = X188 )
        & rline(X185)
        & X184 = X185
        & rcircle(X187)
        & X186 = X187
        & ( rinside(X181,X186)
          | ron(X181,X186) )
        & ( rinside(X182,X186)
          | ron(X182,X186) )
        & rR(X183,X181,X182) )
     => rinside(X183,X186) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(121), 0), imp(cond(axiom(121), 0)))') ).

fof(f982,plain,
    ! [X8,X6,X9,X7,X4] :
      ( rinside(X9,X6)
      | ~ rpoint(X7)
      | ~ rpoint(X8)
      | ~ rpoint(X9)
      | ~ rline(X4)
      | ~ rcircle(X6)
      | ~ ron(X7,X6)
      | ~ rinside(X8,X6)
      | ~ rR(X9,X7,X8) ),
    inference(equality_resolution,[],[f981]) ).

fof(f114,axiom,
    ! [X705,X706,X707] :
      ( ( ? [X710] :
            ( rpoint(X710)
            & X705 = X710 )
        & ? [X709] :
            ( rpoint(X709)
            & X706 = X709 )
        & ? [X708] :
            ( rpoint(X708)
            & X707 = X708 ) )
     => ( vg(X705,X706,X707) = vg(X707,X705,X706)
        & vg(X705,X706,X707) = vg(X705,X707,X706) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(176), 0), imp(cond(axiom(176), 0)))') ).

fof(f1474,plain,
    ! [X3,X4,X5] :
      ( vg(X3,X4,X5) = vg(X5,X3,X4)
      | ~ rpoint(X3)
      | ~ rpoint(X4)
      | ~ rpoint(X5) ),
    inference(equality_resolution,[],[f1473]) ).

fof(f122,plain,
    ! [X0,X1] :
      ( ( ? [X2] :
            ( rpoint(X2)
            & X0 = X2 )
        & ? [X3] :
            ( rpoint(X3)
            & X1 = X3 )
        & X0 != X1 )
     => ? [X4] :
          ( rline(X4)
          & ron(X0,X4)
          & ron(X1,X4) ) ),
    inference(rectify,[],[f13]) ).

fof(f149,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ( ? [X7] :
            ( rpoint(X7)
            & X0 = X7 )
        & ? [X8] :
            ( rpoint(X8)
            & X1 = X8 )
        & ? [X9] :
            ( rpoint(X9)
            & X2 = X9 )
        & rline(X4)
        & X3 = X4
        & rcircle(X6)
        & X5 = X6
        & ( rinside(X0,X5)
          | ron(X0,X5) )
        & ( rinside(X1,X5)
          | ron(X1,X5) )
        & rR(X2,X0,X1) )
     => rinside(X2,X5) ),
    inference(rectify,[],[f44]) ).

fof(f218,plain,
    ! [X0,X1,X2] :
      ( ( ? [X3] :
            ( rpoint(X3)
            & X0 = X3 )
        & ? [X4] :
            ( rpoint(X4)
            & X1 = X4 )
        & ? [X5] :
            ( rpoint(X5)
            & X2 = X5 ) )
     => ( vg(X0,X1,X2) = vg(X2,X0,X1)
        & vg(X0,X1,X2) = vg(X0,X2,X1) ) ),
    inference(rectify,[],[f114]) ).

fof(f227,plain,
    ? [X0] :
      ( vd1092 != X0
      & rline(X0)
      & ron(vd1080,X0)
      & ron(vd1089,X0) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f228,plain,
    ? [X0] :
      ( vd1092 != X0
      & rline(X0)
      & ron(vd1080,X0)
      & ron(vd1089,X0) ),
    inference(flattening,[],[f227]) ).

fof(f233,plain,
    ! [X0,X1] :
      ( ? [X4] :
          ( rline(X4)
          & ron(X0,X4)
          & ron(X1,X4) )
      | ! [X2] :
          ( ~ rpoint(X2)
          | X0 != X2 )
      | ! [X3] :
          ( ~ rpoint(X3)
          | X1 != X3 )
      | X0 = X1 ),
    inference(ennf_transformation,[],[f122]) ).

fof(f234,plain,
    ! [X0,X1] :
      ( ? [X4] :
          ( rline(X4)
          & ron(X0,X4)
          & ron(X1,X4) )
      | ! [X2] :
          ( ~ rpoint(X2)
          | X0 != X2 )
      | ! [X3] :
          ( ~ rpoint(X3)
          | X1 != X3 )
      | X0 = X1 ),
    inference(flattening,[],[f233]) ).

fof(f283,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( rinside(X2,X5)
      | ! [X7] :
          ( ~ rpoint(X7)
          | X0 != X7 )
      | ! [X8] :
          ( ~ rpoint(X8)
          | X1 != X8 )
      | ! [X9] :
          ( ~ rpoint(X9)
          | X2 != X9 )
      | ~ rline(X4)
      | X3 != X4
      | ~ rcircle(X6)
      | X5 != X6
      | ( ~ rinside(X0,X5)
        & ~ ron(X0,X5) )
      | ( ~ rinside(X1,X5)
        & ~ ron(X1,X5) )
      | ~ rR(X2,X0,X1) ),
    inference(ennf_transformation,[],[f149]) ).

fof(f284,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( rinside(X2,X5)
      | ! [X7] :
          ( ~ rpoint(X7)
          | X0 != X7 )
      | ! [X8] :
          ( ~ rpoint(X8)
          | X1 != X8 )
      | ! [X9] :
          ( ~ rpoint(X9)
          | X2 != X9 )
      | ~ rline(X4)
      | X3 != X4
      | ~ rcircle(X6)
      | X5 != X6
      | ( ~ rinside(X0,X5)
        & ~ ron(X0,X5) )
      | ( ~ rinside(X1,X5)
        & ~ ron(X1,X5) )
      | ~ rR(X2,X0,X1) ),
    inference(flattening,[],[f283]) ).

fof(f417,plain,
    ! [X0,X1,X2] :
      ( ( vg(X0,X1,X2) = vg(X2,X0,X1)
        & vg(X0,X1,X2) = vg(X0,X2,X1) )
      | ! [X3] :
          ( ~ rpoint(X3)
          | X0 != X3 )
      | ! [X4] :
          ( ~ rpoint(X4)
          | X1 != X4 )
      | ! [X5] :
          ( ~ rpoint(X5)
          | X2 != X5 ) ),
    inference(ennf_transformation,[],[f218]) ).

fof(f418,plain,
    ! [X0,X1,X2] :
      ( ( vg(X0,X1,X2) = vg(X2,X0,X1)
        & vg(X0,X1,X2) = vg(X0,X2,X1) )
      | ! [X3] :
          ( ~ rpoint(X3)
          | X0 != X3 )
      | ! [X4] :
          ( ~ rpoint(X4)
          | X1 != X4 )
      | ! [X5] :
          ( ~ rpoint(X5)
          | X2 != X5 ) ),
    inference(flattening,[],[f417]) ).

fof(f426,plain,
    ( vd1092 != sK1
    & rline(sK1)
    & ron(vd1080,sK1)
    & ron(vd1089,sK1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f228,f425]) ).

fof(f430,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( rline(X2)
          & ron(X0,X2)
          & ron(X1,X2) )
      | ! [X3] :
          ( ~ rpoint(X3)
          | X0 != X3 )
      | ! [X4] :
          ( ~ rpoint(X4)
          | X1 != X4 )
      | X0 = X1 ),
    inference(rectify,[],[f234]) ).

fof(f432,plain,
    ! [X0,X1] :
      ( ( rline(sK3(X0,X1))
        & ron(X0,sK3(X0,X1))
        & ron(X1,sK3(X0,X1)) )
      | ! [X3] :
          ( ~ rpoint(X3)
          | X0 != X3 )
      | ! [X4] :
          ( ~ rpoint(X4)
          | X1 != X4 )
      | X0 = X1 ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f430,f431]) ).

fof(f540,plain,
    ron(vd1089,sK1),
    inference(cnf_transformation,[],[f426]) ).

fof(f541,plain,
    ron(vd1080,sK1),
    inference(cnf_transformation,[],[f426]) ).

fof(f542,plain,
    rline(sK1),
    inference(cnf_transformation,[],[f426]) ).

fof(f543,plain,
    vd1092 != sK1,
    inference(cnf_transformation,[],[f426]) ).

fof(f545,plain,
    ron(vd1080,vd1092),
    inference(cnf_transformation,[],[f3]) ).

fof(f546,plain,
    rline(vd1092),
    inference(cnf_transformation,[],[f3]) ).

fof(f547,plain,
    vf(vd1089,vd1080) = vf(vd1085,vd1080),
    inference(cnf_transformation,[],[f4]) ).

fof(f558,plain,
    ! [X3,X0,X1,X4] :
      ( ron(X1,sK3(X0,X1))
      | ~ rpoint(X3)
      | X0 != X3
      | ~ rpoint(X4)
      | X1 != X4
      | X0 = X1 ),
    inference(cnf_transformation,[],[f432]) ).

fof(f559,plain,
    ! [X3,X0,X1,X4] :
      ( ron(X0,sK3(X0,X1))
      | ~ rpoint(X3)
      | X0 != X3
      | ~ rpoint(X4)
      | X1 != X4
      | X0 = X1 ),
    inference(cnf_transformation,[],[f432]) ).

fof(f623,plain,
    ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
      ( rinside(X2,X5)
      | ~ rpoint(X7)
      | X0 != X7
      | ~ rpoint(X8)
      | X1 != X8
      | ~ rpoint(X9)
      | X2 != X9
      | ~ rline(X4)
      | X3 != X4
      | ~ rcircle(X6)
      | X5 != X6
      | ~ ron(X0,X5)
      | ~ ron(X1,X5)
      | ~ rR(X2,X0,X1) ),
    inference(cnf_transformation,[],[f284]) ).

fof(f624,plain,
    ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
      ( rinside(X2,X5)
      | ~ rpoint(X7)
      | X0 != X7
      | ~ rpoint(X8)
      | X1 != X8
      | ~ rpoint(X9)
      | X2 != X9
      | ~ rline(X4)
      | X3 != X4
      | ~ rcircle(X6)
      | X5 != X6
      | ~ ron(X0,X5)
      | ~ rinside(X1,X5)
      | ~ rR(X2,X0,X1) ),
    inference(cnf_transformation,[],[f284]) ).

fof(f783,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( vg(X0,X1,X2) = vg(X0,X2,X1)
      | ~ rpoint(X3)
      | X0 != X3
      | ~ rpoint(X4)
      | X1 != X4
      | ~ rpoint(X5)
      | X2 != X5 ),
    inference(cnf_transformation,[],[f418]) ).

fof(f784,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( vg(X0,X1,X2) = vg(X2,X0,X1)
      | ~ rpoint(X3)
      | X0 != X3
      | ~ rpoint(X4)
      | X1 != X4
      | ~ rpoint(X5)
      | X2 != X5 ),
    inference(cnf_transformation,[],[f418]) ).

fof(f812,plain,
    ! [X3,X1,X4] :
      ( ron(X3,sK3(X3,X1))
      | ~ rpoint(X3)
      | ~ rpoint(X4)
      | X1 != X4
      | X1 = X3 ),
    inference(equality_resolution,[],[f559]) ).

fof(f814,plain,
    ! [X3,X1,X4] :
      ( ron(X1,sK3(X3,X1))
      | ~ rpoint(X3)
      | ~ rpoint(X4)
      | X1 != X4
      | X1 = X3 ),
    inference(equality_resolution,[],[f558]) ).

fof(f14,axiom,
    vd1085 != vd1081,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(conjunct2(225), 1088, 0)') ).

fof(f815,plain,
    ! [X3,X4] :
      ( ron(X4,sK3(X3,X4))
      | ~ rpoint(X3)
      | ~ rpoint(X4)
      | X3 = X4 ),
    inference(equality_resolution,[],[f814]) ).

fof(f7,axiom,
    vd1085 = vd1086,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(225, 4)') ).

fof(f561,plain,
    vd1085 != vd1081,
    inference(cnf_transformation,[],[f14]) ).

fof(f550,plain,
    vd1085 = vd1086,
    inference(cnf_transformation,[],[f7]) ).

fof(f5,axiom,
    vf(vd1089,vd1080) = vf(vd1089,vd1085),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(226, 1090, 0)') ).

fof(f789,plain,
    vf(vd1089,sK2) = vf(vd1086,sK2),
    inference(definition_unfolding,[],[f547,f553,f550,f553]) ).

fof(f548,plain,
    vf(vd1089,vd1080) = vf(vd1089,vd1085),
    inference(cnf_transformation,[],[f5]) ).

fof(f6,axiom,
    rpoint(vd1089),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(226, 0)') ).

fof(f790,plain,
    vf(vd1089,sK2) = vf(vd1089,vd1086),
    inference(definition_unfolding,[],[f548,f553,f550]) ).

fof(f8,axiom,
    vd1080 != vd1085,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(conjunct1(225), 1087, 0)') ).

fof(f549,plain,
    rpoint(vd1089),
    inference(cnf_transformation,[],[f6]) ).

fof(f551,plain,
    vd1080 != vd1085,
    inference(cnf_transformation,[],[f8]) ).

fof(f9,axiom,
    rpoint(vd1086),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(225, 1)') ).

fof(f791,plain,
    vd1086 != sK2,
    inference(definition_unfolding,[],[f551,f553,f550]) ).

fof(f552,plain,
    rpoint(vd1086),
    inference(cnf_transformation,[],[f9]) ).

fof(f978,plain,
    ! [X2,X3,X1,X8,X6,X9,X7,X4,X5] :
      ( rinside(X2,X5)
      | ~ rpoint(X7)
      | ~ rpoint(X8)
      | X1 != X8
      | ~ rpoint(X9)
      | X2 != X9
      | ~ rline(X4)
      | X3 != X4
      | ~ rcircle(X6)
      | X5 != X6
      | ~ ron(X7,X5)
      | ~ rinside(X1,X5)
      | ~ rR(X2,X7,X1) ),
    inference(equality_resolution,[],[f624]) ).

fof(f979,plain,
    ! [X2,X3,X8,X6,X9,X7,X4,X5] :
      ( rinside(X2,X5)
      | ~ rpoint(X7)
      | ~ rpoint(X8)
      | ~ rpoint(X9)
      | X2 != X9
      | ~ rline(X4)
      | X3 != X4
      | ~ rcircle(X6)
      | X5 != X6
      | ~ ron(X7,X5)
      | ~ rinside(X8,X5)
      | ~ rR(X2,X7,X8) ),
    inference(equality_resolution,[],[f978]) ).

fof(f980,plain,
    ! [X3,X8,X6,X9,X7,X4,X5] :
      ( rinside(X9,X5)
      | ~ rpoint(X7)
      | ~ rpoint(X8)
      | ~ rpoint(X9)
      | ~ rline(X4)
      | X3 != X4
      | ~ rcircle(X6)
      | X5 != X6
      | ~ ron(X7,X5)
      | ~ rinside(X8,X5)
      | ~ rR(X9,X7,X8) ),
    inference(equality_resolution,[],[f979]) ).

fof(f981,plain,
    ! [X8,X6,X9,X7,X4,X5] :
      ( rinside(X9,X5)
      | ~ rpoint(X7)
      | ~ rpoint(X8)
      | ~ rpoint(X9)
      | ~ rline(X4)
      | ~ rcircle(X6)
      | X5 != X6
      | ~ ron(X7,X5)
      | ~ rinside(X8,X5)
      | ~ rR(X9,X7,X8) ),
    inference(equality_resolution,[],[f980]) ).

fof(f983,plain,
    ! [X2,X3,X1,X8,X6,X9,X7,X4,X5] :
      ( rinside(X2,X5)
      | ~ rpoint(X7)
      | ~ rpoint(X8)
      | X1 != X8
      | ~ rpoint(X9)
      | X2 != X9
      | ~ rline(X4)
      | X3 != X4
      | ~ rcircle(X6)
      | X5 != X6
      | ~ ron(X7,X5)
      | ~ ron(X1,X5)
      | ~ rR(X2,X7,X1) ),
    inference(equality_resolution,[],[f623]) ).

fof(f984,plain,
    ! [X2,X3,X8,X6,X9,X7,X4,X5] :
      ( rinside(X2,X5)
      | ~ rpoint(X7)
      | ~ rpoint(X8)
      | ~ rpoint(X9)
      | X2 != X9
      | ~ rline(X4)
      | X3 != X4
      | ~ rcircle(X6)
      | X5 != X6
      | ~ ron(X7,X5)
      | ~ ron(X8,X5)
      | ~ rR(X2,X7,X8) ),
    inference(equality_resolution,[],[f983]) ).

fof(f985,plain,
    ! [X3,X8,X6,X9,X7,X4,X5] :
      ( rinside(X9,X5)
      | ~ rpoint(X7)
      | ~ rpoint(X8)
      | ~ rpoint(X9)
      | ~ rline(X4)
      | X3 != X4
      | ~ rcircle(X6)
      | X5 != X6
      | ~ ron(X7,X5)
      | ~ ron(X8,X5)
      | ~ rR(X9,X7,X8) ),
    inference(equality_resolution,[],[f984]) ).

fof(f986,plain,
    ! [X8,X6,X9,X7,X4,X5] :
      ( rinside(X9,X5)
      | ~ rpoint(X7)
      | ~ rpoint(X8)
      | ~ rpoint(X9)
      | ~ rline(X4)
      | ~ rcircle(X6)
      | X5 != X6
      | ~ ron(X7,X5)
      | ~ ron(X8,X5)
      | ~ rR(X9,X7,X8) ),
    inference(equality_resolution,[],[f985]) ).

fof(f45,axiom,
    ! [X191,X192,X193,X194,X195,X196,X197] :
      ( ( ? [X200] :
            ( rpoint(X200)
            & X191 = X200 )
        & ? [X199] :
            ( rpoint(X199)
            & X192 = X199 )
        & ? [X198] :
            ( rpoint(X198)
            & X193 = X198 )
        & rline(X195)
        & X194 = X195
        & rcircle(X197)
        & X196 = X197
        & ron(X191,X194)
        & ron(X192,X194)
        & ron(X193,X194)
        & rinside(X191,X196)
        & ron(X192,X196)
        & ron(X193,X196)
        & X192 != X193 )
     => rR(X191,X192,X193) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(119), 0), imp(cond(axiom(119), 0)))') ).

fof(f987,plain,
    ! [X8,X6,X9,X7,X4] :
      ( rinside(X9,X6)
      | ~ rpoint(X7)
      | ~ rpoint(X8)
      | ~ rpoint(X9)
      | ~ rline(X4)
      | ~ rcircle(X6)
      | ~ ron(X7,X6)
      | ~ ron(X8,X6)
      | ~ rR(X9,X7,X8) ),
    inference(equality_resolution,[],[f986]) ).

fof(f150,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ( ? [X7] :
            ( rpoint(X7)
            & X0 = X7 )
        & ? [X8] :
            ( rpoint(X8)
            & X1 = X8 )
        & ? [X9] :
            ( rpoint(X9)
            & X2 = X9 )
        & rline(X4)
        & X3 = X4
        & rcircle(X6)
        & X5 = X6
        & ron(X0,X3)
        & ron(X1,X3)
        & ron(X2,X3)
        & rinside(X0,X5)
        & ron(X1,X5)
        & ron(X2,X5)
        & X1 != X2 )
     => rR(X0,X1,X2) ),
    inference(rectify,[],[f45]) ).

fof(f285,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( rR(X0,X1,X2)
      | ! [X7] :
          ( ~ rpoint(X7)
          | X0 != X7 )
      | ! [X8] :
          ( ~ rpoint(X8)
          | X1 != X8 )
      | ! [X9] :
          ( ~ rpoint(X9)
          | X2 != X9 )
      | ~ rline(X4)
      | X3 != X4
      | ~ rcircle(X6)
      | X5 != X6
      | ~ ron(X0,X3)
      | ~ ron(X1,X3)
      | ~ ron(X2,X3)
      | ~ rinside(X0,X5)
      | ~ ron(X1,X5)
      | ~ ron(X2,X5)
      | X1 = X2 ),
    inference(ennf_transformation,[],[f150]) ).

fof(f286,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( rR(X0,X1,X2)
      | ! [X7] :
          ( ~ rpoint(X7)
          | X0 != X7 )
      | ! [X8] :
          ( ~ rpoint(X8)
          | X1 != X8 )
      | ! [X9] :
          ( ~ rpoint(X9)
          | X2 != X9 )
      | ~ rline(X4)
      | X3 != X4
      | ~ rcircle(X6)
      | X5 != X6
      | ~ ron(X0,X3)
      | ~ ron(X1,X3)
      | ~ ron(X2,X3)
      | ~ rinside(X0,X5)
      | ~ ron(X1,X5)
      | ~ ron(X2,X5)
      | X1 = X2 ),
    inference(flattening,[],[f285]) ).

fof(f627,plain,
    ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
      ( rR(X0,X1,X2)
      | ~ rpoint(X7)
      | X0 != X7
      | ~ rpoint(X8)
      | X1 != X8
      | ~ rpoint(X9)
      | X2 != X9
      | ~ rline(X4)
      | X3 != X4
      | ~ rcircle(X6)
      | X5 != X6
      | ~ ron(X0,X3)
      | ~ ron(X1,X3)
      | ~ ron(X2,X3)
      | ~ rinside(X0,X5)
      | ~ ron(X1,X5)
      | ~ ron(X2,X5)
      | X1 = X2 ),
    inference(cnf_transformation,[],[f286]) ).

fof(f988,plain,
    ! [X2,X3,X1,X8,X6,X9,X7,X4,X5] :
      ( rR(X7,X1,X2)
      | ~ rpoint(X7)
      | ~ rpoint(X8)
      | X1 != X8
      | ~ rpoint(X9)
      | X2 != X9
      | ~ rline(X4)
      | X3 != X4
      | ~ rcircle(X6)
      | X5 != X6
      | ~ ron(X7,X3)
      | ~ ron(X1,X3)
      | ~ ron(X2,X3)
      | ~ rinside(X7,X5)
      | ~ ron(X1,X5)
      | ~ ron(X2,X5)
      | X1 = X2 ),
    inference(equality_resolution,[],[f627]) ).

fof(f989,plain,
    ! [X2,X3,X8,X6,X9,X7,X4,X5] :
      ( rR(X7,X8,X2)
      | ~ rpoint(X7)
      | ~ rpoint(X8)
      | ~ rpoint(X9)
      | X2 != X9
      | ~ rline(X4)
      | X3 != X4
      | ~ rcircle(X6)
      | X5 != X6
      | ~ ron(X7,X3)
      | ~ ron(X8,X3)
      | ~ ron(X2,X3)
      | ~ rinside(X7,X5)
      | ~ ron(X8,X5)
      | ~ ron(X2,X5)
      | X2 = X8 ),
    inference(equality_resolution,[],[f988]) ).

fof(f990,plain,
    ! [X3,X8,X6,X9,X7,X4,X5] :
      ( rR(X7,X8,X9)
      | ~ rpoint(X7)
      | ~ rpoint(X8)
      | ~ rpoint(X9)
      | ~ rline(X4)
      | X3 != X4
      | ~ rcircle(X6)
      | X5 != X6
      | ~ ron(X7,X3)
      | ~ ron(X8,X3)
      | ~ ron(X9,X3)
      | ~ rinside(X7,X5)
      | ~ ron(X8,X5)
      | ~ ron(X9,X5)
      | X8 = X9 ),
    inference(equality_resolution,[],[f989]) ).

fof(f991,plain,
    ! [X8,X6,X9,X7,X4,X5] :
      ( rR(X7,X8,X9)
      | ~ rpoint(X7)
      | ~ rpoint(X8)
      | ~ rpoint(X9)
      | ~ rline(X4)
      | ~ rcircle(X6)
      | X5 != X6
      | ~ ron(X7,X4)
      | ~ ron(X8,X4)
      | ~ ron(X9,X4)
      | ~ rinside(X7,X5)
      | ~ ron(X8,X5)
      | ~ ron(X9,X5)
      | X8 = X9 ),
    inference(equality_resolution,[],[f990]) ).

fof(f46,axiom,
    ! [X201,X202,X203,X204,X205,X206,X207,X208] :
      ( ( ? [X215] :
            ( rline(X215)
            & X201 = X215 )
        & ? [X214] :
            ( rline(X214)
            & X202 = X214 )
        & ? [X213] :
            ( rline(X213)
            & X203 = X213 )
        & ? [X212] :
            ( rpoint(X212)
            & X204 = X212 )
        & ? [X211] :
            ( rpoint(X211)
            & X205 = X211 )
        & ? [X210] :
            ( rpoint(X210)
            & X206 = X210 )
        & ? [X209] :
            ( rpoint(X209)
            & X207 = X209 )
        & ron(X204,X201)
        & ron(X204,X202)
        & ron(X204,X203)
        & ron(X205,X201)
        & ron(X206,X202)
        & ron(X207,X203)
        & rS(X206,X207,X201)
        & rS(X205,X206,X203)
        & rS(X207,X208,X202)
        & rS(X206,X208,X203) )
     => rS(X206,X208,X201) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(117), 0), imp(cond(axiom(117), 0)))') ).

fof(f992,plain,
    ! [X8,X6,X9,X7,X4] :
      ( rR(X7,X8,X9)
      | ~ rpoint(X7)
      | ~ rpoint(X8)
      | ~ rpoint(X9)
      | ~ rline(X4)
      | ~ rcircle(X6)
      | ~ ron(X7,X4)
      | ~ ron(X8,X4)
      | ~ ron(X9,X4)
      | ~ rinside(X7,X6)
      | ~ ron(X8,X6)
      | ~ ron(X9,X6)
      | X8 = X9 ),
    inference(equality_resolution,[],[f991]) ).

fof(f151,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ( ? [X8] :
            ( rline(X8)
            & X0 = X8 )
        & ? [X9] :
            ( rline(X9)
            & X1 = X9 )
        & ? [X10] :
            ( rline(X10)
            & X2 = X10 )
        & ? [X11] :
            ( rpoint(X11)
            & X3 = X11 )
        & ? [X12] :
            ( rpoint(X12)
            & X4 = X12 )
        & ? [X13] :
            ( rpoint(X13)
            & X5 = X13 )
        & ? [X14] :
            ( rpoint(X14)
            & X6 = X14 )
        & ron(X3,X0)
        & ron(X3,X1)
        & ron(X3,X2)
        & ron(X4,X0)
        & ron(X5,X1)
        & ron(X6,X2)
        & rS(X5,X6,X0)
        & rS(X4,X5,X2)
        & rS(X6,X7,X1)
        & rS(X5,X7,X2) )
     => rS(X5,X7,X0) ),
    inference(rectify,[],[f46]) ).

fof(f287,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( rS(X5,X7,X0)
      | ! [X8] :
          ( ~ rline(X8)
          | X0 != X8 )
      | ! [X9] :
          ( ~ rline(X9)
          | X1 != X9 )
      | ! [X10] :
          ( ~ rline(X10)
          | X2 != X10 )
      | ! [X11] :
          ( ~ rpoint(X11)
          | X3 != X11 )
      | ! [X12] :
          ( ~ rpoint(X12)
          | X4 != X12 )
      | ! [X13] :
          ( ~ rpoint(X13)
          | X5 != X13 )
      | ! [X14] :
          ( ~ rpoint(X14)
          | X6 != X14 )
      | ~ ron(X3,X0)
      | ~ ron(X3,X1)
      | ~ ron(X3,X2)
      | ~ ron(X4,X0)
      | ~ ron(X5,X1)
      | ~ ron(X6,X2)
      | ~ rS(X5,X6,X0)
      | ~ rS(X4,X5,X2)
      | ~ rS(X6,X7,X1)
      | ~ rS(X5,X7,X2) ),
    inference(ennf_transformation,[],[f151]) ).

fof(f288,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( rS(X5,X7,X0)
      | ! [X8] :
          ( ~ rline(X8)
          | X0 != X8 )
      | ! [X9] :
          ( ~ rline(X9)
          | X1 != X9 )
      | ! [X10] :
          ( ~ rline(X10)
          | X2 != X10 )
      | ! [X11] :
          ( ~ rpoint(X11)
          | X3 != X11 )
      | ! [X12] :
          ( ~ rpoint(X12)
          | X4 != X12 )
      | ! [X13] :
          ( ~ rpoint(X13)
          | X5 != X13 )
      | ! [X14] :
          ( ~ rpoint(X14)
          | X6 != X14 )
      | ~ ron(X3,X0)
      | ~ ron(X3,X1)
      | ~ ron(X3,X2)
      | ~ ron(X4,X0)
      | ~ ron(X5,X1)
      | ~ ron(X6,X2)
      | ~ rS(X5,X6,X0)
      | ~ rS(X4,X5,X2)
      | ~ rS(X6,X7,X1)
      | ~ rS(X5,X7,X2) ),
    inference(flattening,[],[f287]) ).

fof(f628,plain,
    ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X5,X12,X13] :
      ( rS(X5,X7,X0)
      | ~ rline(X8)
      | X0 != X8
      | ~ rline(X9)
      | X1 != X9
      | ~ rline(X10)
      | X2 != X10
      | ~ rpoint(X11)
      | X3 != X11
      | ~ rpoint(X12)
      | X4 != X12
      | ~ rpoint(X13)
      | X5 != X13
      | ~ rpoint(X14)
      | X6 != X14
      | ~ ron(X3,X0)
      | ~ ron(X3,X1)
      | ~ ron(X3,X2)
      | ~ ron(X4,X0)
      | ~ ron(X5,X1)
      | ~ ron(X6,X2)
      | ~ rS(X5,X6,X0)
      | ~ rS(X4,X5,X2)
      | ~ rS(X6,X7,X1)
      | ~ rS(X5,X7,X2) ),
    inference(cnf_transformation,[],[f288]) ).

fof(f993,plain,
    ! [X2,X3,X10,X11,X1,X8,X6,X9,X7,X14,X4,X5,X12,X13] :
      ( rS(X5,X7,X8)
      | ~ rline(X8)
      | ~ rline(X9)
      | X1 != X9
      | ~ rline(X10)
      | X2 != X10
      | ~ rpoint(X11)
      | X3 != X11
      | ~ rpoint(X12)
      | X4 != X12
      | ~ rpoint(X13)
      | X5 != X13
      | ~ rpoint(X14)
      | X6 != X14
      | ~ ron(X3,X8)
      | ~ ron(X3,X1)
      | ~ ron(X3,X2)
      | ~ ron(X4,X8)
      | ~ ron(X5,X1)
      | ~ ron(X6,X2)
      | ~ rS(X5,X6,X8)
      | ~ rS(X4,X5,X2)
      | ~ rS(X6,X7,X1)
      | ~ rS(X5,X7,X2) ),
    inference(equality_resolution,[],[f628]) ).

fof(f994,plain,
    ! [X2,X3,X10,X11,X8,X6,X9,X7,X14,X4,X5,X12,X13] :
      ( rS(X5,X7,X8)
      | ~ rline(X8)
      | ~ rline(X9)
      | ~ rline(X10)
      | X2 != X10
      | ~ rpoint(X11)
      | X3 != X11
      | ~ rpoint(X12)
      | X4 != X12
      | ~ rpoint(X13)
      | X5 != X13
      | ~ rpoint(X14)
      | X6 != X14
      | ~ ron(X3,X8)
      | ~ ron(X3,X9)
      | ~ ron(X3,X2)
      | ~ ron(X4,X8)
      | ~ ron(X5,X9)
      | ~ ron(X6,X2)
      | ~ rS(X5,X6,X8)
      | ~ rS(X4,X5,X2)
      | ~ rS(X6,X7,X9)
      | ~ rS(X5,X7,X2) ),
    inference(equality_resolution,[],[f993]) ).

fof(f995,plain,
    ! [X3,X10,X11,X8,X6,X9,X7,X14,X4,X5,X12,X13] :
      ( rS(X5,X7,X8)
      | ~ rline(X8)
      | ~ rline(X9)
      | ~ rline(X10)
      | ~ rpoint(X11)
      | X3 != X11
      | ~ rpoint(X12)
      | X4 != X12
      | ~ rpoint(X13)
      | X5 != X13
      | ~ rpoint(X14)
      | X6 != X14
      | ~ ron(X3,X8)
      | ~ ron(X3,X9)
      | ~ ron(X3,X10)
      | ~ ron(X4,X8)
      | ~ ron(X5,X9)
      | ~ ron(X6,X10)
      | ~ rS(X5,X6,X8)
      | ~ rS(X4,X5,X10)
      | ~ rS(X6,X7,X9)
      | ~ rS(X5,X7,X10) ),
    inference(equality_resolution,[],[f994]) ).

fof(f996,plain,
    ! [X10,X11,X8,X6,X9,X7,X14,X4,X5,X12,X13] :
      ( rS(X5,X7,X8)
      | ~ rline(X8)
      | ~ rline(X9)
      | ~ rline(X10)
      | ~ rpoint(X11)
      | ~ rpoint(X12)
      | X4 != X12
      | ~ rpoint(X13)
      | X5 != X13
      | ~ rpoint(X14)
      | X6 != X14
      | ~ ron(X11,X8)
      | ~ ron(X11,X9)
      | ~ ron(X11,X10)
      | ~ ron(X4,X8)
      | ~ ron(X5,X9)
      | ~ ron(X6,X10)
      | ~ rS(X5,X6,X8)
      | ~ rS(X4,X5,X10)
      | ~ rS(X6,X7,X9)
      | ~ rS(X5,X7,X10) ),
    inference(equality_resolution,[],[f995]) ).

fof(f997,plain,
    ! [X10,X11,X8,X6,X9,X7,X14,X5,X12,X13] :
      ( rS(X5,X7,X8)
      | ~ rline(X8)
      | ~ rline(X9)
      | ~ rline(X10)
      | ~ rpoint(X11)
      | ~ rpoint(X12)
      | ~ rpoint(X13)
      | X5 != X13
      | ~ rpoint(X14)
      | X6 != X14
      | ~ ron(X11,X8)
      | ~ ron(X11,X9)
      | ~ ron(X11,X10)
      | ~ ron(X12,X8)
      | ~ ron(X5,X9)
      | ~ ron(X6,X10)
      | ~ rS(X5,X6,X8)
      | ~ rS(X12,X5,X10)
      | ~ rS(X6,X7,X9)
      | ~ rS(X5,X7,X10) ),
    inference(equality_resolution,[],[f996]) ).

fof(f998,plain,
    ! [X10,X11,X8,X6,X9,X7,X14,X12,X13] :
      ( rS(X13,X7,X8)
      | ~ rline(X8)
      | ~ rline(X9)
      | ~ rline(X10)
      | ~ rpoint(X11)
      | ~ rpoint(X12)
      | ~ rpoint(X13)
      | ~ rpoint(X14)
      | X6 != X14
      | ~ ron(X11,X8)
      | ~ ron(X11,X9)
      | ~ ron(X11,X10)
      | ~ ron(X12,X8)
      | ~ ron(X13,X9)
      | ~ ron(X6,X10)
      | ~ rS(X13,X6,X8)
      | ~ rS(X12,X13,X10)
      | ~ rS(X6,X7,X9)
      | ~ rS(X13,X7,X10) ),
    inference(equality_resolution,[],[f997]) ).

fof(f47,axiom,
    ! [X216,X217,X218,X219,X220,X221,X222] :
      ( ( ? [X229] :
            ( rline(X229)
            & X216 = X229 )
        & ? [X228] :
            ( rline(X228)
            & X217 = X228 )
        & ? [X227] :
            ( rline(X227)
            & X218 = X227 )
        & ? [X226] :
            ( rpoint(X226)
            & X219 = X226 )
        & ? [X225] :
            ( rpoint(X225)
            & X220 = X225 )
        & ? [X224] :
            ( rpoint(X224)
            & X221 = X224 )
        & ? [X223] :
            ( rpoint(X223)
            & X222 = X223 )
        & ron(X219,X216)
        & ron(X219,X217)
        & ron(X219,X218)
        & ron(X220,X216)
        & ron(X221,X217)
        & ron(X222,X218)
        & rS(X221,X222,X216)
        & ~ rS(X220,X222,X217)
        & ~ ron(X222,X217)
        & X219 != X220 )
     => rS(X220,X221,X218) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(115), 0), imp(cond(axiom(115), 0)))') ).

fof(f999,plain,
    ! [X10,X11,X8,X9,X7,X14,X12,X13] :
      ( rS(X13,X7,X8)
      | ~ rline(X8)
      | ~ rline(X9)
      | ~ rline(X10)
      | ~ rpoint(X11)
      | ~ rpoint(X12)
      | ~ rpoint(X13)
      | ~ rpoint(X14)
      | ~ ron(X11,X8)
      | ~ ron(X11,X9)
      | ~ ron(X11,X10)
      | ~ ron(X12,X8)
      | ~ ron(X13,X9)
      | ~ ron(X14,X10)
      | ~ rS(X13,X14,X8)
      | ~ rS(X12,X13,X10)
      | ~ rS(X14,X7,X9)
      | ~ rS(X13,X7,X10) ),
    inference(equality_resolution,[],[f998]) ).

fof(f152,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ( ? [X7] :
            ( rline(X7)
            & X0 = X7 )
        & ? [X8] :
            ( rline(X8)
            & X1 = X8 )
        & ? [X9] :
            ( rline(X9)
            & X2 = X9 )
        & ? [X10] :
            ( rpoint(X10)
            & X3 = X10 )
        & ? [X11] :
            ( rpoint(X11)
            & X4 = X11 )
        & ? [X12] :
            ( rpoint(X12)
            & X5 = X12 )
        & ? [X13] :
            ( rpoint(X13)
            & X6 = X13 )
        & ron(X3,X0)
        & ron(X3,X1)
        & ron(X3,X2)
        & ron(X4,X0)
        & ron(X5,X1)
        & ron(X6,X2)
        & rS(X5,X6,X0)
        & ~ rS(X4,X6,X1)
        & ~ ron(X6,X1)
        & X3 != X4 )
     => rS(X4,X5,X2) ),
    inference(rectify,[],[f47]) ).

fof(f289,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( rS(X4,X5,X2)
      | ! [X7] :
          ( ~ rline(X7)
          | X0 != X7 )
      | ! [X8] :
          ( ~ rline(X8)
          | X1 != X8 )
      | ! [X9] :
          ( ~ rline(X9)
          | X2 != X9 )
      | ! [X10] :
          ( ~ rpoint(X10)
          | X3 != X10 )
      | ! [X11] :
          ( ~ rpoint(X11)
          | X4 != X11 )
      | ! [X12] :
          ( ~ rpoint(X12)
          | X5 != X12 )
      | ! [X13] :
          ( ~ rpoint(X13)
          | X6 != X13 )
      | ~ ron(X3,X0)
      | ~ ron(X3,X1)
      | ~ ron(X3,X2)
      | ~ ron(X4,X0)
      | ~ ron(X5,X1)
      | ~ ron(X6,X2)
      | ~ rS(X5,X6,X0)
      | rS(X4,X6,X1)
      | ron(X6,X1)
      | X3 = X4 ),
    inference(ennf_transformation,[],[f152]) ).

fof(f290,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( rS(X4,X5,X2)
      | ! [X7] :
          ( ~ rline(X7)
          | X0 != X7 )
      | ! [X8] :
          ( ~ rline(X8)
          | X1 != X8 )
      | ! [X9] :
          ( ~ rline(X9)
          | X2 != X9 )
      | ! [X10] :
          ( ~ rpoint(X10)
          | X3 != X10 )
      | ! [X11] :
          ( ~ rpoint(X11)
          | X4 != X11 )
      | ! [X12] :
          ( ~ rpoint(X12)
          | X5 != X12 )
      | ! [X13] :
          ( ~ rpoint(X13)
          | X6 != X13 )
      | ~ ron(X3,X0)
      | ~ ron(X3,X1)
      | ~ ron(X3,X2)
      | ~ ron(X4,X0)
      | ~ ron(X5,X1)
      | ~ ron(X6,X2)
      | ~ rS(X5,X6,X0)
      | rS(X4,X6,X1)
      | ron(X6,X1)
      | X3 = X4 ),
    inference(flattening,[],[f289]) ).

fof(f629,plain,
    ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12,X13] :
      ( rS(X4,X5,X2)
      | ~ rline(X7)
      | X0 != X7
      | ~ rline(X8)
      | X1 != X8
      | ~ rline(X9)
      | X2 != X9
      | ~ rpoint(X10)
      | X3 != X10
      | ~ rpoint(X11)
      | X4 != X11
      | ~ rpoint(X12)
      | X5 != X12
      | ~ rpoint(X13)
      | X6 != X13
      | ~ ron(X3,X0)
      | ~ ron(X3,X1)
      | ~ ron(X3,X2)
      | ~ ron(X4,X0)
      | ~ ron(X5,X1)
      | ~ ron(X6,X2)
      | ~ rS(X5,X6,X0)
      | rS(X4,X6,X1)
      | ron(X6,X1)
      | X3 = X4 ),
    inference(cnf_transformation,[],[f290]) ).

fof(f1000,plain,
    ! [X2,X3,X10,X11,X1,X8,X6,X9,X7,X4,X5,X12,X13] :
      ( rS(X4,X5,X2)
      | ~ rline(X7)
      | ~ rline(X8)
      | X1 != X8
      | ~ rline(X9)
      | X2 != X9
      | ~ rpoint(X10)
      | X3 != X10
      | ~ rpoint(X11)
      | X4 != X11
      | ~ rpoint(X12)
      | X5 != X12
      | ~ rpoint(X13)
      | X6 != X13
      | ~ ron(X3,X7)
      | ~ ron(X3,X1)
      | ~ ron(X3,X2)
      | ~ ron(X4,X7)
      | ~ ron(X5,X1)
      | ~ ron(X6,X2)
      | ~ rS(X5,X6,X7)
      | rS(X4,X6,X1)
      | ron(X6,X1)
      | X3 = X4 ),
    inference(equality_resolution,[],[f629]) ).

fof(f1001,plain,
    ! [X2,X3,X10,X11,X8,X6,X9,X7,X4,X5,X12,X13] :
      ( rS(X4,X5,X2)
      | ~ rline(X7)
      | ~ rline(X8)
      | ~ rline(X9)
      | X2 != X9
      | ~ rpoint(X10)
      | X3 != X10
      | ~ rpoint(X11)
      | X4 != X11
      | ~ rpoint(X12)
      | X5 != X12
      | ~ rpoint(X13)
      | X6 != X13
      | ~ ron(X3,X7)
      | ~ ron(X3,X8)
      | ~ ron(X3,X2)
      | ~ ron(X4,X7)
      | ~ ron(X5,X8)
      | ~ ron(X6,X2)
      | ~ rS(X5,X6,X7)
      | rS(X4,X6,X8)
      | ron(X6,X8)
      | X3 = X4 ),
    inference(equality_resolution,[],[f1000]) ).

fof(f1002,plain,
    ! [X3,X10,X11,X8,X6,X9,X7,X4,X5,X12,X13] :
      ( rS(X4,X5,X9)
      | ~ rline(X7)
      | ~ rline(X8)
      | ~ rline(X9)
      | ~ rpoint(X10)
      | X3 != X10
      | ~ rpoint(X11)
      | X4 != X11
      | ~ rpoint(X12)
      | X5 != X12
      | ~ rpoint(X13)
      | X6 != X13
      | ~ ron(X3,X7)
      | ~ ron(X3,X8)
      | ~ ron(X3,X9)
      | ~ ron(X4,X7)
      | ~ ron(X5,X8)
      | ~ ron(X6,X9)
      | ~ rS(X5,X6,X7)
      | rS(X4,X6,X8)
      | ron(X6,X8)
      | X3 = X4 ),
    inference(equality_resolution,[],[f1001]) ).

fof(f1003,plain,
    ! [X10,X11,X8,X6,X9,X7,X4,X5,X12,X13] :
      ( rS(X4,X5,X9)
      | ~ rline(X7)
      | ~ rline(X8)
      | ~ rline(X9)
      | ~ rpoint(X10)
      | ~ rpoint(X11)
      | X4 != X11
      | ~ rpoint(X12)
      | X5 != X12
      | ~ rpoint(X13)
      | X6 != X13
      | ~ ron(X10,X7)
      | ~ ron(X10,X8)
      | ~ ron(X10,X9)
      | ~ ron(X4,X7)
      | ~ ron(X5,X8)
      | ~ ron(X6,X9)
      | ~ rS(X5,X6,X7)
      | rS(X4,X6,X8)
      | ron(X6,X8)
      | X4 = X10 ),
    inference(equality_resolution,[],[f1002]) ).

fof(f1004,plain,
    ! [X10,X11,X8,X6,X9,X7,X5,X12,X13] :
      ( rS(X11,X5,X9)
      | ~ rline(X7)
      | ~ rline(X8)
      | ~ rline(X9)
      | ~ rpoint(X10)
      | ~ rpoint(X11)
      | ~ rpoint(X12)
      | X5 != X12
      | ~ rpoint(X13)
      | X6 != X13
      | ~ ron(X10,X7)
      | ~ ron(X10,X8)
      | ~ ron(X10,X9)
      | ~ ron(X11,X7)
      | ~ ron(X5,X8)
      | ~ ron(X6,X9)
      | ~ rS(X5,X6,X7)
      | rS(X11,X6,X8)
      | ron(X6,X8)
      | X10 = X11 ),
    inference(equality_resolution,[],[f1003]) ).

fof(f1005,plain,
    ! [X10,X11,X8,X6,X9,X7,X12,X13] :
      ( rS(X11,X12,X9)
      | ~ rline(X7)
      | ~ rline(X8)
      | ~ rline(X9)
      | ~ rpoint(X10)
      | ~ rpoint(X11)
      | ~ rpoint(X12)
      | ~ rpoint(X13)
      | X6 != X13
      | ~ ron(X10,X7)
      | ~ ron(X10,X8)
      | ~ ron(X10,X9)
      | ~ ron(X11,X7)
      | ~ ron(X12,X8)
      | ~ ron(X6,X9)
      | ~ rS(X12,X6,X7)
      | rS(X11,X6,X8)
      | ron(X6,X8)
      | X10 = X11 ),
    inference(equality_resolution,[],[f1004]) ).

fof(f48,axiom,
    ! [X230,X231,X232,X233,X234,X235,X236] :
      ( ( ? [X243] :
            ( rline(X243)
            & X230 = X243 )
        & ? [X242] :
            ( rline(X242)
            & X231 = X242 )
        & ? [X241] :
            ( rline(X241)
            & X232 = X241 )
        & ? [X240] :
            ( rpoint(X240)
            & X233 = X240 )
        & ? [X239] :
            ( rpoint(X239)
            & X234 = X239 )
        & ? [X238] :
            ( rpoint(X238)
            & X235 = X238 )
        & ? [X237] :
            ( rpoint(X237)
            & X236 = X237 )
        & ron(X233,X230)
        & ron(X233,X231)
        & ron(X233,X232)
        & ron(X234,X230)
        & ron(X235,X232)
        & ron(X236,X232)
        & rS(X235,X236,X230)
        & rS(X234,X235,X232) )
     => ~ rS(X234,X236,X231) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(113), 0), imp(cond(axiom(113), 0)))') ).

fof(f1006,plain,
    ! [X10,X11,X8,X9,X7,X12,X13] :
      ( rS(X11,X12,X9)
      | ~ rline(X7)
      | ~ rline(X8)
      | ~ rline(X9)
      | ~ rpoint(X10)
      | ~ rpoint(X11)
      | ~ rpoint(X12)
      | ~ rpoint(X13)
      | ~ ron(X10,X7)
      | ~ ron(X10,X8)
      | ~ ron(X10,X9)
      | ~ ron(X11,X7)
      | ~ ron(X12,X8)
      | ~ ron(X13,X9)
      | ~ rS(X12,X13,X7)
      | rS(X11,X13,X8)
      | ron(X13,X8)
      | X10 = X11 ),
    inference(equality_resolution,[],[f1005]) ).

fof(f153,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ( ? [X7] :
            ( rline(X7)
            & X0 = X7 )
        & ? [X8] :
            ( rline(X8)
            & X1 = X8 )
        & ? [X9] :
            ( rline(X9)
            & X2 = X9 )
        & ? [X10] :
            ( rpoint(X10)
            & X3 = X10 )
        & ? [X11] :
            ( rpoint(X11)
            & X4 = X11 )
        & ? [X12] :
            ( rpoint(X12)
            & X5 = X12 )
        & ? [X13] :
            ( rpoint(X13)
            & X6 = X13 )
        & ron(X3,X0)
        & ron(X3,X1)
        & ron(X3,X2)
        & ron(X4,X0)
        & ron(X5,X2)
        & ron(X6,X2)
        & rS(X5,X6,X0)
        & rS(X4,X5,X2) )
     => ~ rS(X4,X6,X1) ),
    inference(rectify,[],[f48]) ).

fof(f291,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ rS(X4,X6,X1)
      | ! [X7] :
          ( ~ rline(X7)
          | X0 != X7 )
      | ! [X8] :
          ( ~ rline(X8)
          | X1 != X8 )
      | ! [X9] :
          ( ~ rline(X9)
          | X2 != X9 )
      | ! [X10] :
          ( ~ rpoint(X10)
          | X3 != X10 )
      | ! [X11] :
          ( ~ rpoint(X11)
          | X4 != X11 )
      | ! [X12] :
          ( ~ rpoint(X12)
          | X5 != X12 )
      | ! [X13] :
          ( ~ rpoint(X13)
          | X6 != X13 )
      | ~ ron(X3,X0)
      | ~ ron(X3,X1)
      | ~ ron(X3,X2)
      | ~ ron(X4,X0)
      | ~ ron(X5,X2)
      | ~ ron(X6,X2)
      | ~ rS(X5,X6,X0)
      | ~ rS(X4,X5,X2) ),
    inference(ennf_transformation,[],[f153]) ).

fof(f292,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ rS(X4,X6,X1)
      | ! [X7] :
          ( ~ rline(X7)
          | X0 != X7 )
      | ! [X8] :
          ( ~ rline(X8)
          | X1 != X8 )
      | ! [X9] :
          ( ~ rline(X9)
          | X2 != X9 )
      | ! [X10] :
          ( ~ rpoint(X10)
          | X3 != X10 )
      | ! [X11] :
          ( ~ rpoint(X11)
          | X4 != X11 )
      | ! [X12] :
          ( ~ rpoint(X12)
          | X5 != X12 )
      | ! [X13] :
          ( ~ rpoint(X13)
          | X6 != X13 )
      | ~ ron(X3,X0)
      | ~ ron(X3,X1)
      | ~ ron(X3,X2)
      | ~ ron(X4,X0)
      | ~ ron(X5,X2)
      | ~ ron(X6,X2)
      | ~ rS(X5,X6,X0)
      | ~ rS(X4,X5,X2) ),
    inference(flattening,[],[f291]) ).

fof(f630,plain,
    ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12,X13] :
      ( ~ rS(X4,X6,X1)
      | ~ rline(X7)
      | X0 != X7
      | ~ rline(X8)
      | X1 != X8
      | ~ rline(X9)
      | X2 != X9
      | ~ rpoint(X10)
      | X3 != X10
      | ~ rpoint(X11)
      | X4 != X11
      | ~ rpoint(X12)
      | X5 != X12
      | ~ rpoint(X13)
      | X6 != X13
      | ~ ron(X3,X0)
      | ~ ron(X3,X1)
      | ~ ron(X3,X2)
      | ~ ron(X4,X0)
      | ~ ron(X5,X2)
      | ~ ron(X6,X2)
      | ~ rS(X5,X6,X0)
      | ~ rS(X4,X5,X2) ),
    inference(cnf_transformation,[],[f292]) ).

fof(f1007,plain,
    ! [X2,X3,X10,X11,X1,X8,X6,X9,X7,X4,X5,X12,X13] :
      ( ~ rS(X4,X6,X1)
      | ~ rline(X7)
      | ~ rline(X8)
      | X1 != X8
      | ~ rline(X9)
      | X2 != X9
      | ~ rpoint(X10)
      | X3 != X10
      | ~ rpoint(X11)
      | X4 != X11
      | ~ rpoint(X12)
      | X5 != X12
      | ~ rpoint(X13)
      | X6 != X13
      | ~ ron(X3,X7)
      | ~ ron(X3,X1)
      | ~ ron(X3,X2)
      | ~ ron(X4,X7)
      | ~ ron(X5,X2)
      | ~ ron(X6,X2)
      | ~ rS(X5,X6,X7)
      | ~ rS(X4,X5,X2) ),
    inference(equality_resolution,[],[f630]) ).

fof(f1008,plain,
    ! [X2,X3,X10,X11,X8,X6,X9,X7,X4,X5,X12,X13] :
      ( ~ rS(X4,X6,X8)
      | ~ rline(X7)
      | ~ rline(X8)
      | ~ rline(X9)
      | X2 != X9
      | ~ rpoint(X10)
      | X3 != X10
      | ~ rpoint(X11)
      | X4 != X11
      | ~ rpoint(X12)
      | X5 != X12
      | ~ rpoint(X13)
      | X6 != X13
      | ~ ron(X3,X7)
      | ~ ron(X3,X8)
      | ~ ron(X3,X2)
      | ~ ron(X4,X7)
      | ~ ron(X5,X2)
      | ~ ron(X6,X2)
      | ~ rS(X5,X6,X7)
      | ~ rS(X4,X5,X2) ),
    inference(equality_resolution,[],[f1007]) ).

fof(f1009,plain,
    ! [X3,X10,X11,X8,X6,X9,X7,X4,X5,X12,X13] :
      ( ~ rS(X4,X6,X8)
      | ~ rline(X7)
      | ~ rline(X8)
      | ~ rline(X9)
      | ~ rpoint(X10)
      | X3 != X10
      | ~ rpoint(X11)
      | X4 != X11
      | ~ rpoint(X12)
      | X5 != X12
      | ~ rpoint(X13)
      | X6 != X13
      | ~ ron(X3,X7)
      | ~ ron(X3,X8)
      | ~ ron(X3,X9)
      | ~ ron(X4,X7)
      | ~ ron(X5,X9)
      | ~ ron(X6,X9)
      | ~ rS(X5,X6,X7)
      | ~ rS(X4,X5,X9) ),
    inference(equality_resolution,[],[f1008]) ).

fof(f1010,plain,
    ! [X10,X11,X8,X6,X9,X7,X4,X5,X12,X13] :
      ( ~ rS(X4,X6,X8)
      | ~ rline(X7)
      | ~ rline(X8)
      | ~ rline(X9)
      | ~ rpoint(X10)
      | ~ rpoint(X11)
      | X4 != X11
      | ~ rpoint(X12)
      | X5 != X12
      | ~ rpoint(X13)
      | X6 != X13
      | ~ ron(X10,X7)
      | ~ ron(X10,X8)
      | ~ ron(X10,X9)
      | ~ ron(X4,X7)
      | ~ ron(X5,X9)
      | ~ ron(X6,X9)
      | ~ rS(X5,X6,X7)
      | ~ rS(X4,X5,X9) ),
    inference(equality_resolution,[],[f1009]) ).

fof(f1011,plain,
    ! [X10,X11,X8,X6,X9,X7,X5,X12,X13] :
      ( ~ rS(X11,X6,X8)
      | ~ rline(X7)
      | ~ rline(X8)
      | ~ rline(X9)
      | ~ rpoint(X10)
      | ~ rpoint(X11)
      | ~ rpoint(X12)
      | X5 != X12
      | ~ rpoint(X13)
      | X6 != X13
      | ~ ron(X10,X7)
      | ~ ron(X10,X8)
      | ~ ron(X10,X9)
      | ~ ron(X11,X7)
      | ~ ron(X5,X9)
      | ~ ron(X6,X9)
      | ~ rS(X5,X6,X7)
      | ~ rS(X11,X5,X9) ),
    inference(equality_resolution,[],[f1010]) ).

fof(f1012,plain,
    ! [X10,X11,X8,X6,X9,X7,X12,X13] :
      ( ~ rS(X11,X6,X8)
      | ~ rline(X7)
      | ~ rline(X8)
      | ~ rline(X9)
      | ~ rpoint(X10)
      | ~ rpoint(X11)
      | ~ rpoint(X12)
      | ~ rpoint(X13)
      | X6 != X13
      | ~ ron(X10,X7)
      | ~ ron(X10,X8)
      | ~ ron(X10,X9)
      | ~ ron(X11,X7)
      | ~ ron(X12,X9)
      | ~ ron(X6,X9)
      | ~ rS(X12,X6,X7)
      | ~ rS(X11,X12,X9) ),
    inference(equality_resolution,[],[f1011]) ).

fof(f49,axiom,
    ! [X244,X245,X246,X247,X248] :
      ( ( ? [X253] :
            ( rpoint(X253)
            & X244 = X253 )
        & ? [X252] :
            ( rpoint(X252)
            & X245 = X252 )
        & ? [X251] :
            ( rpoint(X251)
            & X246 = X251 )
        & X244 != X245
        & X244 != X246
        & X245 != X246
        & ? [X250] :
            ( rline(X250)
            & X247 = X250 )
        & ? [X249] :
            ( rline(X249)
            & X248 = X249 )
        & X247 != X248
        & ron(X244,X248)
        & ron(X246,X248)
        & ~ rS(X244,X246,X247)
        & ron(X245,X248)
        & ron(X245,X247) )
     => rR(X245,X244,X246) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(111), 0), imp(cond(axiom(111), 0)))') ).

fof(f1013,plain,
    ! [X10,X11,X8,X9,X7,X12,X13] :
      ( ~ rS(X11,X13,X8)
      | ~ rline(X7)
      | ~ rline(X8)
      | ~ rline(X9)
      | ~ rpoint(X10)
      | ~ rpoint(X11)
      | ~ rpoint(X12)
      | ~ rpoint(X13)
      | ~ ron(X10,X7)
      | ~ ron(X10,X8)
      | ~ ron(X10,X9)
      | ~ ron(X11,X7)
      | ~ ron(X12,X9)
      | ~ ron(X13,X9)
      | ~ rS(X12,X13,X7)
      | ~ rS(X11,X12,X9) ),
    inference(equality_resolution,[],[f1012]) ).

fof(f154,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
        & ? [X8] :
            ( rline(X8)
            & X3 = X8 )
        & ? [X9] :
            ( rline(X9)
            & X4 = X9 )
        & X3 != X4
        & ron(X0,X4)
        & ron(X2,X4)
        & ~ rS(X0,X2,X3)
        & ron(X1,X4)
        & ron(X1,X3) )
     => rR(X1,X0,X2) ),
    inference(rectify,[],[f49]) ).

fof(f293,plain,
    ! [X0,X1,X2,X3,X4] :
      ( 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
      | ! [X8] :
          ( ~ rline(X8)
          | X3 != X8 )
      | ! [X9] :
          ( ~ rline(X9)
          | X4 != X9 )
      | X3 = X4
      | ~ ron(X0,X4)
      | ~ ron(X2,X4)
      | rS(X0,X2,X3)
      | ~ ron(X1,X4)
      | ~ ron(X1,X3) ),
    inference(ennf_transformation,[],[f154]) ).

fof(f294,plain,
    ! [X0,X1,X2,X3,X4] :
      ( 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
      | ! [X8] :
          ( ~ rline(X8)
          | X3 != X8 )
      | ! [X9] :
          ( ~ rline(X9)
          | X4 != X9 )
      | X3 = X4
      | ~ ron(X0,X4)
      | ~ ron(X2,X4)
      | rS(X0,X2,X3)
      | ~ ron(X1,X4)
      | ~ ron(X1,X3) ),
    inference(flattening,[],[f293]) ).

fof(f631,plain,
    ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
      ( rR(X1,X0,X2)
      | ~ rpoint(X5)
      | X0 != X5
      | ~ rpoint(X6)
      | X1 != X6
      | ~ rpoint(X7)
      | X2 != X7
      | X0 = X1
      | X0 = X2
      | X1 = X2
      | ~ rline(X8)
      | X3 != X8
      | ~ rline(X9)
      | X4 != X9
      | X3 = X4
      | ~ ron(X0,X4)
      | ~ ron(X2,X4)
      | rS(X0,X2,X3)
      | ~ ron(X1,X4)
      | ~ ron(X1,X3) ),
    inference(cnf_transformation,[],[f294]) ).

fof(f1014,plain,
    ! [X2,X3,X1,X8,X6,X9,X7,X4,X5] :
      ( rR(X1,X5,X2)
      | ~ rpoint(X5)
      | ~ rpoint(X6)
      | X1 != X6
      | ~ rpoint(X7)
      | X2 != X7
      | X1 = X5
      | X2 = X5
      | X1 = X2
      | ~ rline(X8)
      | X3 != X8
      | ~ rline(X9)
      | X4 != X9
      | X3 = X4
      | ~ ron(X5,X4)
      | ~ ron(X2,X4)
      | rS(X5,X2,X3)
      | ~ ron(X1,X4)
      | ~ ron(X1,X3) ),
    inference(equality_resolution,[],[f631]) ).

fof(f1015,plain,
    ! [X2,X3,X8,X6,X9,X7,X4,X5] :
      ( rR(X6,X5,X2)
      | ~ rpoint(X5)
      | ~ rpoint(X6)
      | ~ rpoint(X7)
      | X2 != X7
      | X5 = X6
      | X2 = X5
      | X2 = X6
      | ~ rline(X8)
      | X3 != X8
      | ~ rline(X9)
      | X4 != X9
      | X3 = X4
      | ~ ron(X5,X4)
      | ~ ron(X2,X4)
      | rS(X5,X2,X3)
      | ~ ron(X6,X4)
      | ~ ron(X6,X3) ),
    inference(equality_resolution,[],[f1014]) ).

fof(f1016,plain,
    ! [X3,X8,X6,X9,X7,X4,X5] :
      ( rR(X6,X5,X7)
      | ~ rpoint(X5)
      | ~ rpoint(X6)
      | ~ rpoint(X7)
      | X5 = X6
      | X5 = X7
      | X6 = X7
      | ~ rline(X8)
      | X3 != X8
      | ~ rline(X9)
      | X4 != X9
      | X3 = X4
      | ~ ron(X5,X4)
      | ~ ron(X7,X4)
      | rS(X5,X7,X3)
      | ~ ron(X6,X4)
      | ~ ron(X6,X3) ),
    inference(equality_resolution,[],[f1015]) ).

fof(f1017,plain,
    ! [X8,X6,X9,X7,X4,X5] :
      ( rR(X6,X5,X7)
      | ~ rpoint(X5)
      | ~ rpoint(X6)
      | ~ rpoint(X7)
      | X5 = X6
      | X5 = X7
      | X6 = X7
      | ~ rline(X8)
      | ~ rline(X9)
      | X4 != X9
      | X4 = X8
      | ~ ron(X5,X4)
      | ~ ron(X7,X4)
      | rS(X5,X7,X8)
      | ~ ron(X6,X4)
      | ~ ron(X6,X8) ),
    inference(equality_resolution,[],[f1016]) ).

fof(f50,axiom,
    ! [X254,X255,X256,X257,X258] :
      ( ( ? [X261] :
            ( rpoint(X261)
            & X254 = X261 )
        & ? [X260] :
            ( rpoint(X260)
            & X255 = X260 )
        & ? [X259] :
            ( rpoint(X259)
            & X256 = X259 )
        & rline(X258)
        & X257 = X258
        & rR(X255,X254,X256)
        & ron(X255,X257) )
     => ~ rS(X254,X256,X257) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(109), 0), imp(cond(axiom(109), 0)))') ).

fof(f1018,plain,
    ! [X8,X6,X9,X7,X5] :
      ( rR(X6,X5,X7)
      | ~ rpoint(X5)
      | ~ rpoint(X6)
      | ~ rpoint(X7)
      | X5 = X6
      | X5 = X7
      | X6 = X7
      | ~ rline(X8)
      | ~ rline(X9)
      | X8 = X9
      | ~ ron(X5,X9)
      | ~ ron(X7,X9)
      | rS(X5,X7,X8)
      | ~ ron(X6,X9)
      | ~ ron(X6,X8) ),
    inference(equality_resolution,[],[f1017]) ).

fof(f155,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ( ? [X5] :
            ( rpoint(X5)
            & X0 = X5 )
        & ? [X6] :
            ( rpoint(X6)
            & X1 = X6 )
        & ? [X7] :
            ( rpoint(X7)
            & X2 = X7 )
        & rline(X4)
        & X3 = X4
        & rR(X1,X0,X2)
        & ron(X1,X3) )
     => ~ rS(X0,X2,X3) ),
    inference(rectify,[],[f50]) ).

fof(f295,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ rS(X0,X2,X3)
      | ! [X5] :
          ( ~ rpoint(X5)
          | X0 != X5 )
      | ! [X6] :
          ( ~ rpoint(X6)
          | X1 != X6 )
      | ! [X7] :
          ( ~ rpoint(X7)
          | X2 != X7 )
      | ~ rline(X4)
      | X3 != X4
      | ~ rR(X1,X0,X2)
      | ~ ron(X1,X3) ),
    inference(ennf_transformation,[],[f155]) ).

fof(f296,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ rS(X0,X2,X3)
      | ! [X5] :
          ( ~ rpoint(X5)
          | X0 != X5 )
      | ! [X6] :
          ( ~ rpoint(X6)
          | X1 != X6 )
      | ! [X7] :
          ( ~ rpoint(X7)
          | X2 != X7 )
      | ~ rline(X4)
      | X3 != X4
      | ~ rR(X1,X0,X2)
      | ~ ron(X1,X3) ),
    inference(flattening,[],[f295]) ).

fof(f632,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( ~ rS(X0,X2,X3)
      | ~ rpoint(X5)
      | X0 != X5
      | ~ rpoint(X6)
      | X1 != X6
      | ~ rpoint(X7)
      | X2 != X7
      | ~ rline(X4)
      | X3 != X4
      | ~ rR(X1,X0,X2)
      | ~ ron(X1,X3) ),
    inference(cnf_transformation,[],[f296]) ).

fof(f1019,plain,
    ! [X2,X3,X1,X6,X7,X4,X5] :
      ( ~ rS(X5,X2,X3)
      | ~ rpoint(X5)
      | ~ rpoint(X6)
      | X1 != X6
      | ~ rpoint(X7)
      | X2 != X7
      | ~ rline(X4)
      | X3 != X4
      | ~ rR(X1,X5,X2)
      | ~ ron(X1,X3) ),
    inference(equality_resolution,[],[f632]) ).

fof(f1020,plain,
    ! [X2,X3,X6,X7,X4,X5] :
      ( ~ rS(X5,X2,X3)
      | ~ rpoint(X5)
      | ~ rpoint(X6)
      | ~ rpoint(X7)
      | X2 != X7
      | ~ rline(X4)
      | X3 != X4
      | ~ rR(X6,X5,X2)
      | ~ ron(X6,X3) ),
    inference(equality_resolution,[],[f1019]) ).

fof(f1021,plain,
    ! [X3,X6,X7,X4,X5] :
      ( ~ rS(X5,X7,X3)
      | ~ rpoint(X5)
      | ~ rpoint(X6)
      | ~ rpoint(X7)
      | ~ rline(X4)
      | X3 != X4
      | ~ rR(X6,X5,X7)
      | ~ ron(X6,X3) ),
    inference(equality_resolution,[],[f1020]) ).

fof(f51,axiom,
    ! [X262,X263,X264,X265,X266] :
      ( ( ? [X269] :
            ( rpoint(X269)
            & X262 = X269 )
        & ? [X268] :
            ( rpoint(X268)
            & X263 = X268 )
        & ? [X267] :
            ( rpoint(X267)
            & X264 = X267 )
        & rline(X266)
        & X265 = X266
        & rR(X263,X262,X264)
        & ron(X262,X265)
        & ~ ron(X263,X265) )
     => rS(X263,X264,X265) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(107), 0), imp(cond(axiom(107), 0)))') ).

fof(f1022,plain,
    ! [X6,X7,X4,X5] :
      ( ~ rS(X5,X7,X4)
      | ~ rpoint(X5)
      | ~ rpoint(X6)
      | ~ rpoint(X7)
      | ~ rline(X4)
      | ~ rR(X6,X5,X7)
      | ~ ron(X6,X4) ),
    inference(equality_resolution,[],[f1021]) ).

fof(f156,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ( ? [X5] :
            ( rpoint(X5)
            & X0 = X5 )
        & ? [X6] :
            ( rpoint(X6)
            & X1 = X6 )
        & ? [X7] :
            ( rpoint(X7)
            & X2 = X7 )
        & rline(X4)
        & X3 = X4
        & rR(X1,X0,X2)
        & ron(X0,X3)
        & ~ ron(X1,X3) )
     => rS(X1,X2,X3) ),
    inference(rectify,[],[f51]) ).

fof(f297,plain,
    ! [X0,X1,X2,X3,X4] :
      ( rS(X1,X2,X3)
      | ! [X5] :
          ( ~ rpoint(X5)
          | X0 != X5 )
      | ! [X6] :
          ( ~ rpoint(X6)
          | X1 != X6 )
      | ! [X7] :
          ( ~ rpoint(X7)
          | X2 != X7 )
      | ~ rline(X4)
      | X3 != X4
      | ~ rR(X1,X0,X2)
      | ~ ron(X0,X3)
      | ron(X1,X3) ),
    inference(ennf_transformation,[],[f156]) ).

fof(f298,plain,
    ! [X0,X1,X2,X3,X4] :
      ( rS(X1,X2,X3)
      | ! [X5] :
          ( ~ rpoint(X5)
          | X0 != X5 )
      | ! [X6] :
          ( ~ rpoint(X6)
          | X1 != X6 )
      | ! [X7] :
          ( ~ rpoint(X7)
          | X2 != X7 )
      | ~ rline(X4)
      | X3 != X4
      | ~ rR(X1,X0,X2)
      | ~ ron(X0,X3)
      | ron(X1,X3) ),
    inference(flattening,[],[f297]) ).

fof(f633,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( rS(X1,X2,X3)
      | ~ rpoint(X5)
      | X0 != X5
      | ~ rpoint(X6)
      | X1 != X6
      | ~ rpoint(X7)
      | X2 != X7
      | ~ rline(X4)
      | X3 != X4
      | ~ rR(X1,X0,X2)
      | ~ ron(X0,X3)
      | ron(X1,X3) ),
    inference(cnf_transformation,[],[f298]) ).

fof(f1023,plain,
    ! [X2,X3,X1,X6,X7,X4,X5] :
      ( rS(X1,X2,X3)
      | ~ rpoint(X5)
      | ~ rpoint(X6)
      | X1 != X6
      | ~ rpoint(X7)
      | X2 != X7
      | ~ rline(X4)
      | X3 != X4
      | ~ rR(X1,X5,X2)
      | ~ ron(X5,X3)
      | ron(X1,X3) ),
    inference(equality_resolution,[],[f633]) ).

fof(f1024,plain,
    ! [X2,X3,X6,X7,X4,X5] :
      ( rS(X6,X2,X3)
      | ~ rpoint(X5)
      | ~ rpoint(X6)
      | ~ rpoint(X7)
      | X2 != X7
      | ~ rline(X4)
      | X3 != X4
      | ~ rR(X6,X5,X2)
      | ~ ron(X5,X3)
      | ron(X6,X3) ),
    inference(equality_resolution,[],[f1023]) ).

fof(f1025,plain,
    ! [X3,X6,X7,X4,X5] :
      ( rS(X6,X7,X3)
      | ~ rpoint(X5)
      | ~ rpoint(X6)
      | ~ rpoint(X7)
      | ~ rline(X4)
      | X3 != X4
      | ~ rR(X6,X5,X7)
      | ~ ron(X5,X3)
      | ron(X6,X3) ),
    inference(equality_resolution,[],[f1024]) ).

fof(f52,axiom,
    ! [X270,X271,X272,X273,X274] :
      ( ( ? [X277] :
            ( rpoint(X277)
            & X270 = X277 )
        & ? [X276] :
            ( rpoint(X276)
            & X271 = X276 )
        & ? [X275] :
            ( rpoint(X275)
            & X272 = X275 )
        & rline(X274)
        & X273 = X274
        & rR(X271,X270,X272)
        & rS(X270,X272,X273) )
     => rS(X270,X271,X273) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(105), 0), imp(cond(axiom(105), 0)))') ).

fof(f1026,plain,
    ! [X6,X7,X4,X5] :
      ( rS(X6,X7,X4)
      | ~ rpoint(X5)
      | ~ rpoint(X6)
      | ~ rpoint(X7)
      | ~ rline(X4)
      | ~ rR(X6,X5,X7)
      | ~ ron(X5,X4)
      | ron(X6,X4) ),
    inference(equality_resolution,[],[f1025]) ).

fof(f157,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ( ? [X5] :
            ( rpoint(X5)
            & X0 = X5 )
        & ? [X6] :
            ( rpoint(X6)
            & X1 = X6 )
        & ? [X7] :
            ( rpoint(X7)
            & X2 = X7 )
        & rline(X4)
        & X3 = X4
        & rR(X1,X0,X2)
        & rS(X0,X2,X3) )
     => rS(X0,X1,X3) ),
    inference(rectify,[],[f52]) ).

fof(f299,plain,
    ! [X0,X1,X2,X3,X4] :
      ( rS(X0,X1,X3)
      | ! [X5] :
          ( ~ rpoint(X5)
          | X0 != X5 )
      | ! [X6] :
          ( ~ rpoint(X6)
          | X1 != X6 )
      | ! [X7] :
          ( ~ rpoint(X7)
          | X2 != X7 )
      | ~ rline(X4)
      | X3 != X4
      | ~ rR(X1,X0,X2)
      | ~ rS(X0,X2,X3) ),
    inference(ennf_transformation,[],[f157]) ).

fof(f300,plain,
    ! [X0,X1,X2,X3,X4] :
      ( rS(X0,X1,X3)
      | ! [X5] :
          ( ~ rpoint(X5)
          | X0 != X5 )
      | ! [X6] :
          ( ~ rpoint(X6)
          | X1 != X6 )
      | ! [X7] :
          ( ~ rpoint(X7)
          | X2 != X7 )
      | ~ rline(X4)
      | X3 != X4
      | ~ rR(X1,X0,X2)
      | ~ rS(X0,X2,X3) ),
    inference(flattening,[],[f299]) ).

fof(f634,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( rS(X0,X1,X3)
      | ~ rpoint(X5)
      | X0 != X5
      | ~ rpoint(X6)
      | X1 != X6
      | ~ rpoint(X7)
      | X2 != X7
      | ~ rline(X4)
      | X3 != X4
      | ~ rR(X1,X0,X2)
      | ~ rS(X0,X2,X3) ),
    inference(cnf_transformation,[],[f300]) ).

fof(f1027,plain,
    ! [X2,X3,X1,X6,X7,X4,X5] :
      ( rS(X5,X1,X3)
      | ~ rpoint(X5)
      | ~ rpoint(X6)
      | X1 != X6
      | ~ rpoint(X7)
      | X2 != X7
      | ~ rline(X4)
      | X3 != X4
      | ~ rR(X1,X5,X2)
      | ~ rS(X5,X2,X3) ),
    inference(equality_resolution,[],[f634]) ).

fof(f1028,plain,
    ! [X2,X3,X6,X7,X4,X5] :
      ( rS(X5,X6,X3)
      | ~ rpoint(X5)
      | ~ rpoint(X6)
      | ~ rpoint(X7)
      | X2 != X7
      | ~ rline(X4)
      | X3 != X4
      | ~ rR(X6,X5,X2)
      | ~ rS(X5,X2,X3) ),
    inference(equality_resolution,[],[f1027]) ).

fof(f1029,plain,
    ! [X3,X6,X7,X4,X5] :
      ( rS(X5,X6,X3)
      | ~ rpoint(X5)
      | ~ rpoint(X6)
      | ~ rpoint(X7)
      | ~ rline(X4)
      | X3 != X4
      | ~ rR(X6,X5,X7)
      | ~ rS(X5,X7,X3) ),
    inference(equality_resolution,[],[f1028]) ).

fof(f53,axiom,
    ! [X278,X279,X280,X281,X282] :
      ( ( ? [X285] :
            ( rpoint(X285)
            & X278 = X285 )
        & ? [X284] :
            ( rpoint(X284)
            & X279 = X284 )
        & ? [X283] :
            ( rpoint(X283)
            & X280 = X283 )
        & rline(X282)
        & X281 = X282
        & ~ ron(X278,X281)
        & ~ ron(X279,X281)
        & ~ ron(X280,X281)
        & ~ rS(X278,X279,X281) )
     => ( rS(X279,X280,X281)
        | rS(X278,X280,X281) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(103), 0), imp(cond(axiom(103), 0)))') ).

fof(f1030,plain,
    ! [X6,X7,X4,X5] :
      ( rS(X5,X6,X4)
      | ~ rpoint(X5)
      | ~ rpoint(X6)
      | ~ rpoint(X7)
      | ~ rline(X4)
      | ~ rR(X6,X5,X7)
      | ~ rS(X5,X7,X4) ),
    inference(equality_resolution,[],[f1029]) ).

fof(f158,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ( ? [X5] :
            ( rpoint(X5)
            & X0 = X5 )
        & ? [X6] :
            ( rpoint(X6)
            & X1 = X6 )
        & ? [X7] :
            ( rpoint(X7)
            & X2 = X7 )
        & rline(X4)
        & X3 = X4
        & ~ ron(X0,X3)
        & ~ ron(X1,X3)
        & ~ ron(X2,X3)
        & ~ rS(X0,X1,X3) )
     => ( rS(X1,X2,X3)
        | rS(X0,X2,X3) ) ),
    inference(rectify,[],[f53]) ).

fof(f301,plain,
    ! [X0,X1,X2,X3,X4] :
      ( rS(X1,X2,X3)
      | rS(X0,X2,X3)
      | ! [X5] :
          ( ~ rpoint(X5)
          | X0 != X5 )
      | ! [X6] :
          ( ~ rpoint(X6)
          | X1 != X6 )
      | ! [X7] :
          ( ~ rpoint(X7)
          | X2 != X7 )
      | ~ rline(X4)
      | X3 != X4
      | ron(X0,X3)
      | ron(X1,X3)
      | ron(X2,X3)
      | rS(X0,X1,X3) ),
    inference(ennf_transformation,[],[f158]) ).

fof(f302,plain,
    ! [X0,X1,X2,X3,X4] :
      ( rS(X1,X2,X3)
      | rS(X0,X2,X3)
      | ! [X5] :
          ( ~ rpoint(X5)
          | X0 != X5 )
      | ! [X6] :
          ( ~ rpoint(X6)
          | X1 != X6 )
      | ! [X7] :
          ( ~ rpoint(X7)
          | X2 != X7 )
      | ~ rline(X4)
      | X3 != X4
      | ron(X0,X3)
      | ron(X1,X3)
      | ron(X2,X3)
      | rS(X0,X1,X3) ),
    inference(flattening,[],[f301]) ).

fof(f635,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( rS(X1,X2,X3)
      | rS(X0,X2,X3)
      | ~ rpoint(X5)
      | X0 != X5
      | ~ rpoint(X6)
      | X1 != X6
      | ~ rpoint(X7)
      | X2 != X7
      | ~ rline(X4)
      | X3 != X4
      | ron(X0,X3)
      | ron(X1,X3)
      | ron(X2,X3)
      | rS(X0,X1,X3) ),
    inference(cnf_transformation,[],[f302]) ).

fof(f1031,plain,
    ! [X2,X3,X1,X6,X7,X4,X5] :
      ( rS(X1,X2,X3)
      | rS(X5,X2,X3)
      | ~ rpoint(X5)
      | ~ rpoint(X6)
      | X1 != X6
      | ~ rpoint(X7)
      | X2 != X7
      | ~ rline(X4)
      | X3 != X4
      | ron(X5,X3)
      | ron(X1,X3)
      | ron(X2,X3)
      | rS(X5,X1,X3) ),
    inference(equality_resolution,[],[f635]) ).

fof(f1032,plain,
    ! [X2,X3,X6,X7,X4,X5] :
      ( rS(X6,X2,X3)
      | rS(X5,X2,X3)
      | ~ rpoint(X5)
      | ~ rpoint(X6)
      | ~ rpoint(X7)
      | X2 != X7
      | ~ rline(X4)
      | X3 != X4
      | ron(X5,X3)
      | ron(X6,X3)
      | ron(X2,X3)
      | rS(X5,X6,X3) ),
    inference(equality_resolution,[],[f1031]) ).

fof(f1033,plain,
    ! [X3,X6,X7,X4,X5] :
      ( rS(X6,X7,X3)
      | rS(X5,X7,X3)
      | ~ rpoint(X5)
      | ~ rpoint(X6)
      | ~ rpoint(X7)
      | ~ rline(X4)
      | X3 != X4
      | ron(X5,X3)
      | ron(X6,X3)
      | ron(X7,X3)
      | rS(X5,X6,X3) ),
    inference(equality_resolution,[],[f1032]) ).

fof(f54,axiom,
    ! [X286,X287,X288,X289,X290] :
      ( ( ? [X293] :
            ( rpoint(X293)
            & X286 = X293 )
        & ? [X292] :
            ( rpoint(X292)
            & X287 = X292 )
        & ? [X291] :
            ( rpoint(X291)
            & X288 = X291 )
        & rline(X290)
        & X289 = X290
        & rS(X286,X287,X289)
        & rS(X286,X288,X289) )
     => rS(X287,X288,X289) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(101), 0), imp(cond(axiom(101), 0)))') ).

fof(f1034,plain,
    ! [X6,X7,X4,X5] :
      ( rS(X6,X7,X4)
      | rS(X5,X7,X4)
      | ~ rpoint(X5)
      | ~ rpoint(X6)
      | ~ rpoint(X7)
      | ~ rline(X4)
      | ron(X5,X4)
      | ron(X6,X4)
      | ron(X7,X4)
      | rS(X5,X6,X4) ),
    inference(equality_resolution,[],[f1033]) ).

fof(f159,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ( ? [X5] :
            ( rpoint(X5)
            & X0 = X5 )
        & ? [X6] :
            ( rpoint(X6)
            & X1 = X6 )
        & ? [X7] :
            ( rpoint(X7)
            & X2 = X7 )
        & rline(X4)
        & X3 = X4
        & rS(X0,X1,X3)
        & rS(X0,X2,X3) )
     => rS(X1,X2,X3) ),
    inference(rectify,[],[f54]) ).

fof(f303,plain,
    ! [X0,X1,X2,X3,X4] :
      ( rS(X1,X2,X3)
      | ! [X5] :
          ( ~ rpoint(X5)
          | X0 != X5 )
      | ! [X6] :
          ( ~ rpoint(X6)
          | X1 != X6 )
      | ! [X7] :
          ( ~ rpoint(X7)
          | X2 != X7 )
      | ~ rline(X4)
      | X3 != X4
      | ~ rS(X0,X1,X3)
      | ~ rS(X0,X2,X3) ),
    inference(ennf_transformation,[],[f159]) ).

fof(f304,plain,
    ! [X0,X1,X2,X3,X4] :
      ( rS(X1,X2,X3)
      | ! [X5] :
          ( ~ rpoint(X5)
          | X0 != X5 )
      | ! [X6] :
          ( ~ rpoint(X6)
          | X1 != X6 )
      | ! [X7] :
          ( ~ rpoint(X7)
          | X2 != X7 )
      | ~ rline(X4)
      | X3 != X4
      | ~ rS(X0,X1,X3)
      | ~ rS(X0,X2,X3) ),
    inference(flattening,[],[f303]) ).

fof(f636,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( rS(X1,X2,X3)
      | ~ rpoint(X5)
      | X0 != X5
      | ~ rpoint(X6)
      | X1 != X6
      | ~ rpoint(X7)
      | X2 != X7
      | ~ rline(X4)
      | X3 != X4
      | ~ rS(X0,X1,X3)
      | ~ rS(X0,X2,X3) ),
    inference(cnf_transformation,[],[f304]) ).

fof(f1035,plain,
    ! [X2,X3,X1,X6,X7,X4,X5] :
      ( rS(X1,X2,X3)
      | ~ rpoint(X5)
      | ~ rpoint(X6)
      | X1 != X6
      | ~ rpoint(X7)
      | X2 != X7
      | ~ rline(X4)
      | X3 != X4
      | ~ rS(X5,X1,X3)
      | ~ rS(X5,X2,X3) ),
    inference(equality_resolution,[],[f636]) ).

fof(f1036,plain,
    ! [X2,X3,X6,X7,X4,X5] :
      ( rS(X6,X2,X3)
      | ~ rpoint(X5)
      | ~ rpoint(X6)
      | ~ rpoint(X7)
      | X2 != X7
      | ~ rline(X4)
      | X3 != X4
      | ~ rS(X5,X6,X3)
      | ~ rS(X5,X2,X3) ),
    inference(equality_resolution,[],[f1035]) ).

fof(f1037,plain,
    ! [X3,X6,X7,X4,X5] :
      ( rS(X6,X7,X3)
      | ~ rpoint(X5)
      | ~ rpoint(X6)
      | ~ rpoint(X7)
      | ~ rline(X4)
      | X3 != X4
      | ~ rS(X5,X6,X3)
      | ~ rS(X5,X7,X3) ),
    inference(equality_resolution,[],[f1036]) ).

fof(f55,axiom,
    ! [X294,X295,X296,X297] :
      ( ( ? [X299] :
            ( rpoint(X299)
            & X294 = X299 )
        & ? [X298] :
            ( rpoint(X298)
            & X295 = X298 )
        & rline(X297)
        & X296 = X297
        & rS(X294,X295,X296) )
     => ~ ron(X294,X296) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(99), 0), imp(cond(axiom(99), 0)))') ).

fof(f1038,plain,
    ! [X6,X7,X4,X5] :
      ( rS(X6,X7,X4)
      | ~ rpoint(X5)
      | ~ rpoint(X6)
      | ~ rpoint(X7)
      | ~ rline(X4)
      | ~ rS(X5,X6,X4)
      | ~ rS(X5,X7,X4) ),
    inference(equality_resolution,[],[f1037]) ).

fof(f160,plain,
    ! [X0,X1,X2,X3] :
      ( ( ? [X4] :
            ( rpoint(X4)
            & X0 = X4 )
        & ? [X5] :
            ( rpoint(X5)
            & X1 = X5 )
        & rline(X3)
        & X2 = X3
        & rS(X0,X1,X2) )
     => ~ ron(X0,X2) ),
    inference(rectify,[],[f55]) ).

fof(f305,plain,
    ! [X0,X1,X2,X3] :
      ( ~ ron(X0,X2)
      | ! [X4] :
          ( ~ rpoint(X4)
          | X0 != X4 )
      | ! [X5] :
          ( ~ rpoint(X5)
          | X1 != X5 )
      | ~ rline(X3)
      | X2 != X3
      | ~ rS(X0,X1,X2) ),
    inference(ennf_transformation,[],[f160]) ).

fof(f306,plain,
    ! [X0,X1,X2,X3] :
      ( ~ ron(X0,X2)
      | ! [X4] :
          ( ~ rpoint(X4)
          | X0 != X4 )
      | ! [X5] :
          ( ~ rpoint(X5)
          | X1 != X5 )
      | ~ rline(X3)
      | X2 != X3
      | ~ rS(X0,X1,X2) ),
    inference(flattening,[],[f305]) ).

fof(f637,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ ron(X0,X2)
      | ~ rpoint(X4)
      | X0 != X4
      | ~ rpoint(X5)
      | X1 != X5
      | ~ rline(X3)
      | X2 != X3
      | ~ rS(X0,X1,X2) ),
    inference(cnf_transformation,[],[f306]) ).

fof(f1039,plain,
    ! [X2,X3,X1,X4,X5] :
      ( ~ ron(X4,X2)
      | ~ rpoint(X4)
      | ~ rpoint(X5)
      | X1 != X5
      | ~ rline(X3)
      | X2 != X3
      | ~ rS(X4,X1,X2) ),
    inference(equality_resolution,[],[f637]) ).

fof(f1040,plain,
    ! [X2,X3,X4,X5] :
      ( ~ ron(X4,X2)
      | ~ rpoint(X4)
      | ~ rpoint(X5)
      | ~ rline(X3)
      | X2 != X3
      | ~ rS(X4,X5,X2) ),
    inference(equality_resolution,[],[f1039]) ).

fof(f56,axiom,
    ! [X300,X301,X302,X303] :
      ( ( ? [X305] :
            ( rpoint(X305)
            & X300 = X305 )
        & ? [X304] :
            ( rpoint(X304)
            & X301 = X304 )
        & rline(X303)
        & X302 = X303
        & rS(X300,X301,X302) )
     => rS(X301,X300,X302) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(97), 0), imp(cond(axiom(97), 0)))') ).

fof(f1041,plain,
    ! [X3,X4,X5] :
      ( ~ ron(X4,X3)
      | ~ rpoint(X4)
      | ~ rpoint(X5)
      | ~ rline(X3)
      | ~ rS(X4,X5,X3) ),
    inference(equality_resolution,[],[f1040]) ).

fof(f161,plain,
    ! [X0,X1,X2,X3] :
      ( ( ? [X4] :
            ( rpoint(X4)
            & X0 = X4 )
        & ? [X5] :
            ( rpoint(X5)
            & X1 = X5 )
        & rline(X3)
        & X2 = X3
        & rS(X0,X1,X2) )
     => rS(X1,X0,X2) ),
    inference(rectify,[],[f56]) ).

fof(f307,plain,
    ! [X0,X1,X2,X3] :
      ( rS(X1,X0,X2)
      | ! [X4] :
          ( ~ rpoint(X4)
          | X0 != X4 )
      | ! [X5] :
          ( ~ rpoint(X5)
          | X1 != X5 )
      | ~ rline(X3)
      | X2 != X3
      | ~ rS(X0,X1,X2) ),
    inference(ennf_transformation,[],[f161]) ).

fof(f308,plain,
    ! [X0,X1,X2,X3] :
      ( rS(X1,X0,X2)
      | ! [X4] :
          ( ~ rpoint(X4)
          | X0 != X4 )
      | ! [X5] :
          ( ~ rpoint(X5)
          | X1 != X5 )
      | ~ rline(X3)
      | X2 != X3
      | ~ rS(X0,X1,X2) ),
    inference(flattening,[],[f307]) ).

fof(f638,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( rS(X1,X0,X2)
      | ~ rpoint(X4)
      | X0 != X4
      | ~ rpoint(X5)
      | X1 != X5
      | ~ rline(X3)
      | X2 != X3
      | ~ rS(X0,X1,X2) ),
    inference(cnf_transformation,[],[f308]) ).

fof(f1042,plain,
    ! [X2,X3,X1,X4,X5] :
      ( rS(X1,X4,X2)
      | ~ rpoint(X4)
      | ~ rpoint(X5)
      | X1 != X5
      | ~ rline(X3)
      | X2 != X3
      | ~ rS(X4,X1,X2) ),
    inference(equality_resolution,[],[f638]) ).

fof(f1043,plain,
    ! [X2,X3,X4,X5] :
      ( rS(X5,X4,X2)
      | ~ rpoint(X4)
      | ~ rpoint(X5)
      | ~ rline(X3)
      | X2 != X3
      | ~ rS(X4,X5,X2) ),
    inference(equality_resolution,[],[f1042]) ).

fof(f57,axiom,
    ! [X306,X307,X308,X309] :
      ( ( rpoint(X307)
        & X306 = X307
        & rline(X309)
        & X308 = X309
        & ~ ron(X306,X308) )
     => rS(X306,X306,X308) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(95), 0), imp(cond(axiom(95), 0)))') ).

fof(f1044,plain,
    ! [X3,X4,X5] :
      ( rS(X5,X4,X3)
      | ~ rpoint(X4)
      | ~ rpoint(X5)
      | ~ rline(X3)
      | ~ rS(X4,X5,X3) ),
    inference(equality_resolution,[],[f1043]) ).

fof(f162,plain,
    ! [X0,X1,X2,X3] :
      ( ( rpoint(X1)
        & X0 = X1
        & rline(X3)
        & X2 = X3
        & ~ ron(X0,X2) )
     => rS(X0,X0,X2) ),
    inference(rectify,[],[f57]) ).

fof(f309,plain,
    ! [X0,X1,X2,X3] :
      ( rS(X0,X0,X2)
      | ~ rpoint(X1)
      | X0 != X1
      | ~ rline(X3)
      | X2 != X3
      | ron(X0,X2) ),
    inference(ennf_transformation,[],[f162]) ).

fof(f310,plain,
    ! [X0,X1,X2,X3] :
      ( rS(X0,X0,X2)
      | ~ rpoint(X1)
      | X0 != X1
      | ~ rline(X3)
      | X2 != X3
      | ron(X0,X2) ),
    inference(flattening,[],[f309]) ).

fof(f639,plain,
    ! [X2,X3,X0,X1] :
      ( rS(X0,X0,X2)
      | ~ rpoint(X1)
      | X0 != X1
      | ~ rline(X3)
      | X2 != X3
      | ron(X0,X2) ),
    inference(cnf_transformation,[],[f310]) ).

fof(f1045,plain,
    ! [X2,X3,X1] :
      ( rS(X1,X1,X2)
      | ~ rpoint(X1)
      | ~ rline(X3)
      | X2 != X3
      | ron(X1,X2) ),
    inference(equality_resolution,[],[f639]) ).

fof(f58,axiom,
    ! [X310,X311,X312,X313] :
      ( ( ? [X317] :
            ( rpoint(X317)
            & X310 = X317 )
        & ? [X316] :
            ( rpoint(X316)
            & X311 = X316 )
        & ? [X315] :
            ( rpoint(X315)
            & X312 = X315 )
        & ? [X314] :
            ( rpoint(X314)
            & X313 = X314 )
        & rR(X311,X310,X312)
        & rR(X311,X310,X313) )
     => ~ rR(X311,X312,X313) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(93), 0), imp(cond(axiom(93), 0)))') ).

fof(f1046,plain,
    ! [X3,X1] :
      ( rS(X1,X1,X3)
      | ~ rpoint(X1)
      | ~ rline(X3)
      | ron(X1,X3) ),
    inference(equality_resolution,[],[f1045]) ).

fof(f163,plain,
    ! [X0,X1,X2,X3] :
      ( ( ? [X4] :
            ( rpoint(X4)
            & X0 = X4 )
        & ? [X5] :
            ( rpoint(X5)
            & X1 = X5 )
        & ? [X6] :
            ( rpoint(X6)
            & X2 = X6 )
        & ? [X7] :
            ( rpoint(X7)
            & X3 = X7 )
        & rR(X1,X0,X2)
        & rR(X1,X0,X3) )
     => ~ rR(X1,X2,X3) ),
    inference(rectify,[],[f58]) ).

fof(f311,plain,
    ! [X0,X1,X2,X3] :
      ( ~ rR(X1,X2,X3)
      | ! [X4] :
          ( ~ rpoint(X4)
          | X0 != X4 )
      | ! [X5] :
          ( ~ rpoint(X5)
          | X1 != X5 )
      | ! [X6] :
          ( ~ rpoint(X6)
          | X2 != X6 )
      | ! [X7] :
          ( ~ rpoint(X7)
          | X3 != X7 )
      | ~ rR(X1,X0,X2)
      | ~ rR(X1,X0,X3) ),
    inference(ennf_transformation,[],[f163]) ).

fof(f312,plain,
    ! [X0,X1,X2,X3] :
      ( ~ rR(X1,X2,X3)
      | ! [X4] :
          ( ~ rpoint(X4)
          | X0 != X4 )
      | ! [X5] :
          ( ~ rpoint(X5)
          | X1 != X5 )
      | ! [X6] :
          ( ~ rpoint(X6)
          | X2 != X6 )
      | ! [X7] :
          ( ~ rpoint(X7)
          | X3 != X7 )
      | ~ rR(X1,X0,X2)
      | ~ rR(X1,X0,X3) ),
    inference(flattening,[],[f311]) ).

fof(f640,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( ~ rR(X1,X2,X3)
      | ~ rpoint(X4)
      | X0 != X4
      | ~ rpoint(X5)
      | X1 != X5
      | ~ rpoint(X6)
      | X2 != X6
      | ~ rpoint(X7)
      | X3 != X7
      | ~ rR(X1,X0,X2)
      | ~ rR(X1,X0,X3) ),
    inference(cnf_transformation,[],[f312]) ).

fof(f1047,plain,
    ! [X2,X3,X1,X6,X7,X4,X5] :
      ( ~ rR(X1,X2,X3)
      | ~ rpoint(X4)
      | ~ rpoint(X5)
      | X1 != X5
      | ~ rpoint(X6)
      | X2 != X6
      | ~ rpoint(X7)
      | X3 != X7
      | ~ rR(X1,X4,X2)
      | ~ rR(X1,X4,X3) ),
    inference(equality_resolution,[],[f640]) ).

fof(f1048,plain,
    ! [X2,X3,X6,X7,X4,X5] :
      ( ~ rR(X5,X2,X3)
      | ~ rpoint(X4)
      | ~ rpoint(X5)
      | ~ rpoint(X6)
      | X2 != X6
      | ~ rpoint(X7)
      | X3 != X7
      | ~ rR(X5,X4,X2)
      | ~ rR(X5,X4,X3) ),
    inference(equality_resolution,[],[f1047]) ).

fof(f1049,plain,
    ! [X3,X6,X7,X4,X5] :
      ( ~ rR(X5,X6,X3)
      | ~ rpoint(X4)
      | ~ rpoint(X5)
      | ~ rpoint(X6)
      | ~ rpoint(X7)
      | X3 != X7
      | ~ rR(X5,X4,X6)
      | ~ rR(X5,X4,X3) ),
    inference(equality_resolution,[],[f1048]) ).

fof(f59,axiom,
    ! [X318,X319,X320,X321,X322] :
      ( ( ? [X325] :
            ( rpoint(X325)
            & X318 = X325 )
        & ? [X324] :
            ( rpoint(X324)
            & X319 = X324 )
        & ? [X323] :
            ( rpoint(X323)
            & X320 = X323 )
        & X318 != X319
        & X318 != X320
        & X319 != X320
        & rline(X322)
        & ron(X318,X321)
        & ron(X319,X321)
        & ron(X320,X321)
        & X321 = X322 )
     => ( rR(X320,X318,X319)
        | rR(X318,X319,X320)
        | rR(X319,X318,X320) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(91), 0), imp(cond(axiom(91), 0)))') ).

fof(f1050,plain,
    ! [X6,X7,X4,X5] :
      ( ~ rR(X5,X6,X7)
      | ~ rpoint(X4)
      | ~ rpoint(X5)
      | ~ rpoint(X6)
      | ~ rpoint(X7)
      | ~ rR(X5,X4,X6)
      | ~ rR(X5,X4,X7) ),
    inference(equality_resolution,[],[f1049]) ).

fof(f164,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,[],[f59]) ).

fof(f313,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,[],[f164]) ).

fof(f314,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,[],[f313]) ).

fof(f641,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,[],[f314]) ).

fof(f1051,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,[],[f641]) ).

fof(f1052,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,[],[f1051]) ).

fof(f1053,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,[],[f1052]) ).

fof(f60,axiom,
    ! [X326,X327,X328,X329] :
      ( ( ? [X333] :
            ( rpoint(X333)
            & X326 = X333 )
        & ? [X332] :
            ( rpoint(X332)
            & X327 = X332 )
        & ? [X331] :
            ( rpoint(X331)
            & X328 = X331 )
        & ? [X330] :
            ( rpoint(X330)
            & X329 = X330 )
        & rR(X327,X326,X328)
        & rR(X328,X327,X329) )
     => rR(X327,X326,X329) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(89), 0), imp(cond(axiom(89), 0)))') ).

fof(f1054,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,[],[f1053]) ).

fof(f165,plain,
    ! [X0,X1,X2,X3] :
      ( ( ? [X4] :
            ( rpoint(X4)
            & X0 = X4 )
        & ? [X5] :
            ( rpoint(X5)
            & X1 = X5 )
        & ? [X6] :
            ( rpoint(X6)
            & X2 = X6 )
        & ? [X7] :
            ( rpoint(X7)
            & X3 = X7 )
        & rR(X1,X0,X2)
        & rR(X2,X1,X3) )
     => rR(X1,X0,X3) ),
    inference(rectify,[],[f60]) ).

fof(f315,plain,
    ! [X0,X1,X2,X3] :
      ( rR(X1,X0,X3)
      | ! [X4] :
          ( ~ rpoint(X4)
          | X0 != X4 )
      | ! [X5] :
          ( ~ rpoint(X5)
          | X1 != X5 )
      | ! [X6] :
          ( ~ rpoint(X6)
          | X2 != X6 )
      | ! [X7] :
          ( ~ rpoint(X7)
          | X3 != X7 )
      | ~ rR(X1,X0,X2)
      | ~ rR(X2,X1,X3) ),
    inference(ennf_transformation,[],[f165]) ).

fof(f316,plain,
    ! [X0,X1,X2,X3] :
      ( rR(X1,X0,X3)
      | ! [X4] :
          ( ~ rpoint(X4)
          | X0 != X4 )
      | ! [X5] :
          ( ~ rpoint(X5)
          | X1 != X5 )
      | ! [X6] :
          ( ~ rpoint(X6)
          | X2 != X6 )
      | ! [X7] :
          ( ~ rpoint(X7)
          | X3 != X7 )
      | ~ rR(X1,X0,X2)
      | ~ rR(X2,X1,X3) ),
    inference(flattening,[],[f315]) ).

fof(f642,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( rR(X1,X0,X3)
      | ~ rpoint(X4)
      | X0 != X4
      | ~ rpoint(X5)
      | X1 != X5
      | ~ rpoint(X6)
      | X2 != X6
      | ~ rpoint(X7)
      | X3 != X7
      | ~ rR(X1,X0,X2)
      | ~ rR(X2,X1,X3) ),
    inference(cnf_transformation,[],[f316]) ).

fof(f1055,plain,
    ! [X2,X3,X1,X6,X7,X4,X5] :
      ( rR(X1,X4,X3)
      | ~ rpoint(X4)
      | ~ rpoint(X5)
      | X1 != X5
      | ~ rpoint(X6)
      | X2 != X6
      | ~ rpoint(X7)
      | X3 != X7
      | ~ rR(X1,X4,X2)
      | ~ rR(X2,X1,X3) ),
    inference(equality_resolution,[],[f642]) ).

fof(f1056,plain,
    ! [X2,X3,X6,X7,X4,X5] :
      ( rR(X5,X4,X3)
      | ~ rpoint(X4)
      | ~ rpoint(X5)
      | ~ rpoint(X6)
      | X2 != X6
      | ~ rpoint(X7)
      | X3 != X7
      | ~ rR(X5,X4,X2)
      | ~ rR(X2,X5,X3) ),
    inference(equality_resolution,[],[f1055]) ).

fof(f1057,plain,
    ! [X3,X6,X7,X4,X5] :
      ( rR(X5,X4,X3)
      | ~ rpoint(X4)
      | ~ rpoint(X5)
      | ~ rpoint(X6)
      | ~ rpoint(X7)
      | X3 != X7
      | ~ rR(X5,X4,X6)
      | ~ rR(X6,X5,X3) ),
    inference(equality_resolution,[],[f1056]) ).

fof(f61,axiom,
    ! [X334,X335,X336,X337] :
      ( ( ? [X341] :
            ( rpoint(X341)
            & X334 = X341 )
        & ? [X340] :
            ( rpoint(X340)
            & X335 = X340 )
        & ? [X339] :
            ( rpoint(X339)
            & X336 = X339 )
        & ? [X338] :
            ( rpoint(X338)
            & X337 = X338 )
        & rR(X335,X334,X336)
        & rR(X337,X334,X335) )
     => rR(X337,X334,X336) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(87), 0), imp(cond(axiom(87), 0)))') ).

fof(f1058,plain,
    ! [X6,X7,X4,X5] :
      ( rR(X5,X4,X7)
      | ~ rpoint(X4)
      | ~ rpoint(X5)
      | ~ rpoint(X6)
      | ~ rpoint(X7)
      | ~ rR(X5,X4,X6)
      | ~ rR(X6,X5,X7) ),
    inference(equality_resolution,[],[f1057]) ).

fof(f166,plain,
    ! [X0,X1,X2,X3] :
      ( ( ? [X4] :
            ( rpoint(X4)
            & X0 = X4 )
        & ? [X5] :
            ( rpoint(X5)
            & X1 = X5 )
        & ? [X6] :
            ( rpoint(X6)
            & X2 = X6 )
        & ? [X7] :
            ( rpoint(X7)
            & X3 = X7 )
        & rR(X1,X0,X2)
        & rR(X3,X0,X1) )
     => rR(X3,X0,X2) ),
    inference(rectify,[],[f61]) ).

fof(f317,plain,
    ! [X0,X1,X2,X3] :
      ( rR(X3,X0,X2)
      | ! [X4] :
          ( ~ rpoint(X4)
          | X0 != X4 )
      | ! [X5] :
          ( ~ rpoint(X5)
          | X1 != X5 )
      | ! [X6] :
          ( ~ rpoint(X6)
          | X2 != X6 )
      | ! [X7] :
          ( ~ rpoint(X7)
          | X3 != X7 )
      | ~ rR(X1,X0,X2)
      | ~ rR(X3,X0,X1) ),
    inference(ennf_transformation,[],[f166]) ).

fof(f318,plain,
    ! [X0,X1,X2,X3] :
      ( rR(X3,X0,X2)
      | ! [X4] :
          ( ~ rpoint(X4)
          | X0 != X4 )
      | ! [X5] :
          ( ~ rpoint(X5)
          | X1 != X5 )
      | ! [X6] :
          ( ~ rpoint(X6)
          | X2 != X6 )
      | ! [X7] :
          ( ~ rpoint(X7)
          | X3 != X7 )
      | ~ rR(X1,X0,X2)
      | ~ rR(X3,X0,X1) ),
    inference(flattening,[],[f317]) ).

fof(f643,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( rR(X3,X0,X2)
      | ~ rpoint(X4)
      | X0 != X4
      | ~ rpoint(X5)
      | X1 != X5
      | ~ rpoint(X6)
      | X2 != X6
      | ~ rpoint(X7)
      | X3 != X7
      | ~ rR(X1,X0,X2)
      | ~ rR(X3,X0,X1) ),
    inference(cnf_transformation,[],[f318]) ).

fof(f1059,plain,
    ! [X2,X3,X1,X6,X7,X4,X5] :
      ( rR(X3,X4,X2)
      | ~ rpoint(X4)
      | ~ rpoint(X5)
      | X1 != X5
      | ~ rpoint(X6)
      | X2 != X6
      | ~ rpoint(X7)
      | X3 != X7
      | ~ rR(X1,X4,X2)
      | ~ rR(X3,X4,X1) ),
    inference(equality_resolution,[],[f643]) ).

fof(f1060,plain,
    ! [X2,X3,X6,X7,X4,X5] :
      ( rR(X3,X4,X2)
      | ~ rpoint(X4)
      | ~ rpoint(X5)
      | ~ rpoint(X6)
      | X2 != X6
      | ~ rpoint(X7)
      | X3 != X7
      | ~ rR(X5,X4,X2)
      | ~ rR(X3,X4,X5) ),
    inference(equality_resolution,[],[f1059]) ).

fof(f1061,plain,
    ! [X3,X6,X7,X4,X5] :
      ( rR(X3,X4,X6)
      | ~ rpoint(X4)
      | ~ rpoint(X5)
      | ~ rpoint(X6)
      | ~ rpoint(X7)
      | X3 != X7
      | ~ rR(X5,X4,X6)
      | ~ rR(X3,X4,X5) ),
    inference(equality_resolution,[],[f1060]) ).

fof(f62,axiom,
    ! [X342,X343,X344,X345,X346] :
      ( ( ? [X349] :
            ( rpoint(X349)
            & X342 = X349 )
        & ? [X348] :
            ( rpoint(X348)
            & X343 = X348 )
        & ? [X347] :
            ( rpoint(X347)
            & X344 = X347 )
        & rline(X346)
        & rR(X343,X342,X344)
        & ron(X342,X345)
        & ron(X344,X345)
        & X345 = X346 )
     => ron(X343,X345) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(85), 0), imp(cond(axiom(85), 0)))') ).

fof(f1062,plain,
    ! [X6,X7,X4,X5] :
      ( rR(X7,X4,X6)
      | ~ rpoint(X4)
      | ~ rpoint(X5)
      | ~ rpoint(X6)
      | ~ rpoint(X7)
      | ~ rR(X5,X4,X6)
      | ~ rR(X7,X4,X5) ),
    inference(equality_resolution,[],[f1061]) ).

fof(f167,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(X2,X3)
        & X3 = X4 )
     => ron(X1,X3) ),
    inference(rectify,[],[f62]) ).

fof(f319,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ron(X1,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(X2,X3)
      | X3 != X4 ),
    inference(ennf_transformation,[],[f167]) ).

fof(f320,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ron(X1,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(X2,X3)
      | X3 != X4 ),
    inference(flattening,[],[f319]) ).

fof(f644,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( ron(X1,X3)
      | ~ rpoint(X5)
      | X0 != X5
      | ~ rpoint(X6)
      | X1 != X6
      | ~ rpoint(X7)
      | X2 != X7
      | ~ rline(X4)
      | ~ rR(X1,X0,X2)
      | ~ ron(X0,X3)
      | ~ ron(X2,X3)
      | X3 != X4 ),
    inference(cnf_transformation,[],[f320]) ).

fof(f1063,plain,
    ! [X2,X3,X1,X6,X7,X4,X5] :
      ( ron(X1,X3)
      | ~ rpoint(X5)
      | ~ rpoint(X6)
      | X1 != X6
      | ~ rpoint(X7)
      | X2 != X7
      | ~ rline(X4)
      | ~ rR(X1,X5,X2)
      | ~ ron(X5,X3)
      | ~ ron(X2,X3)
      | X3 != X4 ),
    inference(equality_resolution,[],[f644]) ).

fof(f1064,plain,
    ! [X2,X3,X6,X7,X4,X5] :
      ( ron(X6,X3)
      | ~ rpoint(X5)
      | ~ rpoint(X6)
      | ~ rpoint(X7)
      | X2 != X7
      | ~ rline(X4)
      | ~ rR(X6,X5,X2)
      | ~ ron(X5,X3)
      | ~ ron(X2,X3)
      | X3 != X4 ),
    inference(equality_resolution,[],[f1063]) ).

fof(f1065,plain,
    ! [X3,X6,X7,X4,X5] :
      ( ron(X6,X3)
      | ~ rpoint(X5)
      | ~ rpoint(X6)
      | ~ rpoint(X7)
      | ~ rline(X4)
      | ~ rR(X6,X5,X7)
      | ~ ron(X5,X3)
      | ~ ron(X7,X3)
      | X3 != X4 ),
    inference(equality_resolution,[],[f1064]) ).

fof(f63,axiom,
    ! [X350,X351,X352,X353,X354] :
      ( ( ? [X357] :
            ( rpoint(X357)
            & X350 = X357 )
        & ? [X356] :
            ( rpoint(X356)
            & X351 = X356 )
        & ? [X355] :
            ( rpoint(X355)
            & X352 = X355 )
        & rline(X354)
        & rR(X351,X350,X352)
        & ron(X350,X353)
        & ron(X351,X353)
        & X353 = X354 )
     => ron(X352,X353) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(83), 0), imp(cond(axiom(83), 0)))') ).

fof(f1066,plain,
    ! [X6,X7,X4,X5] :
      ( ron(X6,X4)
      | ~ rpoint(X5)
      | ~ rpoint(X6)
      | ~ rpoint(X7)
      | ~ rline(X4)
      | ~ rR(X6,X5,X7)
      | ~ ron(X5,X4)
      | ~ ron(X7,X4) ),
    inference(equality_resolution,[],[f1065]) ).

fof(f168,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,[],[f63]) ).

fof(f321,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,[],[f168]) ).

fof(f322,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,[],[f321]) ).

fof(f645,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,[],[f322]) ).

fof(f1067,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,[],[f645]) ).

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

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

fof(f64,axiom,
    ! [X358,X359,X360,X361] :
      ( ( rpoint(X359)
        & X358 = X359
        & rcircle(X361)
        & X360 = X361
        & rinside(X358,X360) )
     => ~ ron(X358,X360) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(79), 0), imp(cond(axiom(79), 0)))') ).

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

fof(f169,plain,
    ! [X0,X1,X2,X3] :
      ( ( rpoint(X1)
        & X0 = X1
        & rcircle(X3)
        & X2 = X3
        & rinside(X0,X2) )
     => ~ ron(X0,X2) ),
    inference(rectify,[],[f64]) ).

fof(f323,plain,
    ! [X0,X1,X2,X3] :
      ( ~ ron(X0,X2)
      | ~ rpoint(X1)
      | X0 != X1
      | ~ rcircle(X3)
      | X2 != X3
      | ~ rinside(X0,X2) ),
    inference(ennf_transformation,[],[f169]) ).

fof(f324,plain,
    ! [X0,X1,X2,X3] :
      ( ~ ron(X0,X2)
      | ~ rpoint(X1)
      | X0 != X1
      | ~ rcircle(X3)
      | X2 != X3
      | ~ rinside(X0,X2) ),
    inference(flattening,[],[f323]) ).

fof(f646,plain,
    ! [X2,X3,X0,X1] :
      ( ~ ron(X0,X2)
      | ~ rpoint(X1)
      | X0 != X1
      | ~ rcircle(X3)
      | X2 != X3
      | ~ rinside(X0,X2) ),
    inference(cnf_transformation,[],[f324]) ).

fof(f1071,plain,
    ! [X2,X3,X1] :
      ( ~ ron(X1,X2)
      | ~ rpoint(X1)
      | ~ rcircle(X3)
      | X2 != X3
      | ~ rinside(X1,X2) ),
    inference(equality_resolution,[],[f646]) ).

fof(f65,axiom,
    ! [X362,X363] :
      ( rcenter(X362,X363)
     => rinside(X362,X363) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(77), 0), imp(cond(axiom(77), 0)))') ).

fof(f1072,plain,
    ! [X3,X1] :
      ( ~ ron(X1,X3)
      | ~ rpoint(X1)
      | ~ rcircle(X3)
      | ~ rinside(X1,X3) ),
    inference(equality_resolution,[],[f1071]) ).

fof(f170,plain,
    ! [X0,X1] :
      ( rcenter(X0,X1)
     => rinside(X0,X1) ),
    inference(rectify,[],[f65]) ).

fof(f325,plain,
    ! [X0,X1] :
      ( rinside(X0,X1)
      | ~ rcenter(X0,X1) ),
    inference(ennf_transformation,[],[f170]) ).

fof(f66,axiom,
    ! [X364,X365,X366,X367] :
      ( ( rcircle(X365)
        & X364 = X365
        & rcenter(X366,X364)
        & rcenter(X367,X364) )
     => X366 = X367 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(75), 0), imp(cond(axiom(75), 0)))') ).

fof(f647,plain,
    ! [X0,X1] :
      ( rinside(X0,X1)
      | ~ rcenter(X0,X1) ),
    inference(cnf_transformation,[],[f325]) ).

fof(f171,plain,
    ! [X0,X1,X2,X3] :
      ( ( rcircle(X1)
        & X0 = X1
        & rcenter(X2,X0)
        & rcenter(X3,X0) )
     => X2 = X3 ),
    inference(rectify,[],[f66]) ).

fof(f326,plain,
    ! [X0,X1,X2,X3] :
      ( X2 = X3
      | ~ rcircle(X1)
      | X0 != X1
      | ~ rcenter(X2,X0)
      | ~ rcenter(X3,X0) ),
    inference(ennf_transformation,[],[f171]) ).

fof(f327,plain,
    ! [X0,X1,X2,X3] :
      ( X2 = X3
      | ~ rcircle(X1)
      | X0 != X1
      | ~ rcenter(X2,X0)
      | ~ rcenter(X3,X0) ),
    inference(flattening,[],[f326]) ).

fof(f648,plain,
    ! [X2,X3,X0,X1] :
      ( X2 = X3
      | ~ rcircle(X1)
      | X0 != X1
      | ~ rcenter(X2,X0)
      | ~ rcenter(X3,X0) ),
    inference(cnf_transformation,[],[f327]) ).

fof(f67,axiom,
    ! [X368,X369,X370,X371] :
      ( ( ? [X375] :
            ( rpoint(X375)
            & X368 = X375 )
        & ? [X374] :
            ( rpoint(X374)
            & X369 = X374 )
        & X368 != X369
        & ? [X373] :
            ( rline(X373)
            & X370 = X373 )
        & ? [X372] :
            ( rline(X372)
            & X371 = X372 )
        & ron(X368,X370)
        & ron(X368,X371)
        & ron(X369,X370)
        & ron(X369,X371) )
     => X370 = X371 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(73), 0), imp(cond(axiom(73), 0)))') ).

fof(f1073,plain,
    ! [X2,X3,X1] :
      ( X2 = X3
      | ~ rcircle(X1)
      | ~ rcenter(X2,X1)
      | ~ rcenter(X3,X1) ),
    inference(equality_resolution,[],[f648]) ).

fof(f172,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,[],[f67]) ).

fof(f328,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,[],[f172]) ).

fof(f329,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,[],[f328]) ).

fof(f649,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,[],[f329]) ).

fof(f1074,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,[],[f649]) ).

fof(f1075,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,[],[f1074]) ).

fof(f1076,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,[],[f1075]) ).

fof(f1077,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,[],[f1076]) ).

fof(f1472,plain,
    ! [X2,X3,X1,X4,X5] :
      ( vg(X3,X1,X2) = vg(X2,X3,X1)
      | ~ rpoint(X3)
      | ~ rpoint(X4)
      | X1 != X4
      | ~ rpoint(X5)
      | X2 != X5 ),
    inference(equality_resolution,[],[f784]) ).

fof(f1473,plain,
    ! [X2,X3,X4,X5] :
      ( vg(X3,X4,X2) = vg(X2,X3,X4)
      | ~ rpoint(X3)
      | ~ rpoint(X4)
      | ~ rpoint(X5)
      | X2 != X5 ),
    inference(equality_resolution,[],[f1472]) ).

fof(f1475,plain,
    ! [X2,X3,X1,X4,X5] :
      ( vg(X3,X2,X1) = vg(X3,X1,X2)
      | ~ rpoint(X3)
      | ~ rpoint(X4)
      | X1 != X4
      | ~ rpoint(X5)
      | X2 != X5 ),
    inference(equality_resolution,[],[f783]) ).

fof(f1476,plain,
    ! [X2,X3,X4,X5] :
      ( vg(X3,X4,X2) = vg(X3,X2,X4)
      | ~ rpoint(X3)
      | ~ rpoint(X4)
      | ~ rpoint(X5)
      | X2 != X5 ),
    inference(equality_resolution,[],[f1475]) ).

fof(f116,axiom,
    ! [X717,X718] :
      ( ( ? [X720] :
            ( rpoint(X720)
            & X717 = X720 )
        & ? [X719] :
            ( rpoint(X719)
            & X718 = X719 ) )
     => v0 = vg(X717,X717,X718) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(172), 0), imp(cond(axiom(172), 0)))') ).

fof(f1477,plain,
    ! [X3,X4,X5] :
      ( vg(X3,X4,X5) = vg(X3,X5,X4)
      | ~ rpoint(X3)
      | ~ rpoint(X4)
      | ~ rpoint(X5) ),
    inference(equality_resolution,[],[f1476]) ).

fof(f220,plain,
    ! [X0,X1] :
      ( ( ? [X2] :
            ( rpoint(X2)
            & X0 = X2 )
        & ? [X3] :
            ( rpoint(X3)
            & X1 = X3 ) )
     => v0 = vg(X0,X0,X1) ),
    inference(rectify,[],[f116]) ).

fof(f419,plain,
    ! [X0,X1] :
      ( v0 = vg(X0,X0,X1)
      | ! [X2] :
          ( ~ rpoint(X2)
          | X0 != X2 )
      | ! [X3] :
          ( ~ rpoint(X3)
          | X1 != X3 ) ),
    inference(ennf_transformation,[],[f220]) ).

fof(f420,plain,
    ! [X0,X1] :
      ( v0 = vg(X0,X0,X1)
      | ! [X2] :
          ( ~ rpoint(X2)
          | X0 != X2 )
      | ! [X3] :
          ( ~ rpoint(X3)
          | X1 != X3 ) ),
    inference(flattening,[],[f419]) ).

fof(f35,axiom,
    v0 = vd684,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(axiom(137), 2)') ).

fof(f785,plain,
    ! [X2,X3,X0,X1] :
      ( v0 = vg(X0,X0,X1)
      | ~ rpoint(X2)
      | X0 != X2
      | ~ rpoint(X3)
      | X1 != X3 ),
    inference(cnf_transformation,[],[f420]) ).

fof(f607,plain,
    v0 = vd684,
    inference(cnf_transformation,[],[f35]) ).

cnf(c_49,negated_conjecture,
    vd1092 != sK1,
    inference(cnf_transformation,[],[f543]) ).

cnf(c_50,negated_conjecture,
    rline(sK1),
    inference(cnf_transformation,[],[f542]) ).

cnf(c_52,negated_conjecture,
    ron(vd1089,sK1),
    inference(cnf_transformation,[],[f540]) ).

cnf(c_53,plain,
    rline(vd1092),
    inference(cnf_transformation,[],[f546]) ).

cnf(c_60,plain,
    rpoint(vd1086),
    inference(cnf_transformation,[],[f552]) ).

cnf(c_154,plain,
    ( ~ ron(X0,X1)
    | ~ ron(X0,X2)
    | ~ ron(X3,X1)
    | ~ ron(X3,X2)
    | ~ rline(X1)
    | ~ rline(X2)
    | ~ rpoint(X0)
    | ~ rpoint(X3)
    | X0 = X3
    | X1 = X2 ),
    inference(cnf_transformation,[],[f1077]) ).

cnf(c_21341,plain,
    ( ~ rpoint(X0)
    | vf(X0,vd1086) = vf(vd1086,X0) ),
    inference(superposition,[status(thm)],[c_60,c_62]) ).

cnf(c_23191,plain,
    vf(sK2,vd1086) = vf(vd1086,sK2),
    inference(superposition,[status(thm)],[c_61,c_21341]) ).

cnf(c_23213,plain,
    vf(sK2,vd1089) = vf(sK2,vd1086),
    inference(light_normalisation,[status(thm)],[c_23191,c_23132]) ).

cnf(c_89033,plain,
    ( ~ ron(X0,X1)
    | ~ ron(X0,sK1)
    | ~ ron(vd1089,X1)
    | ~ rline(X1)
    | ~ rpoint(X0)
    | ~ rline(sK1)
    | ~ rpoint(vd1089)
    | X0 = vd1089
    | X1 = sK1 ),
    inference(superposition,[status(thm)],[c_52,c_154]) ).

cnf(c_89103,plain,
    ( ~ ron(X0,X1)
    | ~ ron(X0,sK1)
    | ~ ron(vd1089,X1)
    | ~ rline(X1)
    | ~ rpoint(X0)
    | X0 = vd1089
    | X1 = sK1 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_89033,c_58,c_50]) ).

cnf(c_91244,plain,
    ( ~ ron(sK2,sK1)
    | ~ ron(vd1089,vd1092)
    | ~ rline(vd1092)
    | ~ rpoint(sK2)
    | vd1092 = sK1
    | sK2 = vd1089 ),
    inference(superposition,[status(thm)],[c_54,c_89103]) ).

cnf(c_91297,plain,
    sK2 = vd1089,
    inference(forward_subsumption_resolution,[status(thm)],[c_91244,c_49,c_61,c_53,c_55,c_51]) ).

fof(f12,axiom,
    ! [X6,X7] :
      ( ( ? [X9] :
            ( rpoint(X9)
            & X6 = X9 )
        & ? [X8] :
            ( rpoint(X8)
            & X7 = X8 ) )
     => ( vf(X6,X7) = v0
      <=> X6 = X7 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(162), 0), imp(cond(axiom(162), 0)))') ).

fof(f807,plain,
    ! [X3] :
      ( vd684 = vf(X3,X3)
      | ~ rpoint(X3)
      | ~ rpoint(X3) ),
    inference(equality_resolution,[],[f806]) ).

fof(f121,plain,
    ! [X0,X1] :
      ( ( ? [X2] :
            ( rpoint(X2)
            & X0 = X2 )
        & ? [X3] :
            ( rpoint(X3)
            & X1 = X3 ) )
     => ( v0 = vf(X0,X1)
      <=> X0 = X1 ) ),
    inference(rectify,[],[f12]) ).

fof(f231,plain,
    ! [X0,X1] :
      ( ( v0 = vf(X0,X1)
      <=> X0 = X1 )
      | ! [X2] :
          ( ~ rpoint(X2)
          | X0 != X2 )
      | ! [X3] :
          ( ~ rpoint(X3)
          | X1 != X3 ) ),
    inference(ennf_transformation,[],[f121]) ).

fof(f232,plain,
    ! [X0,X1] :
      ( ( v0 = vf(X0,X1)
      <=> X0 = X1 )
      | ! [X2] :
          ( ~ rpoint(X2)
          | X0 != X2 )
      | ! [X3] :
          ( ~ rpoint(X3)
          | X1 != X3 ) ),
    inference(flattening,[],[f231]) ).

fof(f429,plain,
    ! [X0,X1] :
      ( ( ( v0 = vf(X0,X1)
          | X0 != X1 )
        & ( X0 = X1
          | v0 != vf(X0,X1) ) )
      | ! [X2] :
          ( ~ rpoint(X2)
          | X0 != X2 )
      | ! [X3] :
          ( ~ rpoint(X3)
          | X1 != X3 ) ),
    inference(nnf_transformation,[],[f232]) ).

fof(f556,plain,
    ! [X2,X3,X0,X1] :
      ( X0 = X1
      | v0 != vf(X0,X1)
      | ~ rpoint(X2)
      | X0 != X2
      | ~ rpoint(X3)
      | X1 != X3 ),
    inference(cnf_transformation,[],[f429]) ).

fof(f557,plain,
    ! [X2,X3,X0,X1] :
      ( v0 = vf(X0,X1)
      | X0 != X1
      | ~ rpoint(X2)
      | X0 != X2
      | ~ rpoint(X3)
      | X1 != X3 ),
    inference(cnf_transformation,[],[f429]) ).

fof(f792,plain,
    ! [X2,X3,X0,X1] :
      ( vd684 = vf(X0,X1)
      | X0 != X1
      | ~ rpoint(X2)
      | X0 != X2
      | ~ rpoint(X3)
      | X1 != X3 ),
    inference(definition_unfolding,[],[f557,f607]) ).

fof(f793,plain,
    ! [X2,X3,X0,X1] :
      ( X0 = X1
      | vd684 != vf(X0,X1)
      | ~ rpoint(X2)
      | X0 != X2
      | ~ rpoint(X3)
      | X1 != X3 ),
    inference(definition_unfolding,[],[f556,f607]) ).

fof(f805,plain,
    ! [X2,X3,X1] :
      ( vd684 = vf(X1,X1)
      | ~ rpoint(X2)
      | X1 != X2
      | ~ rpoint(X3)
      | X1 != X3 ),
    inference(equality_resolution,[],[f792]) ).

fof(f806,plain,
    ! [X2,X3] :
      ( vd684 = vf(X2,X2)
      | ~ rpoint(X2)
      | ~ rpoint(X3)
      | X2 != X3 ),
    inference(equality_resolution,[],[f805]) ).

fof(f808,plain,
    ! [X2,X3,X1] :
      ( X1 = X2
      | vd684 != vf(X2,X1)
      | ~ rpoint(X2)
      | ~ rpoint(X3)
      | X1 != X3 ),
    inference(equality_resolution,[],[f793]) ).

fof(f809,plain,
    ! [X2,X3] :
      ( X2 = X3
      | vf(X2,X3) != vd684
      | ~ rpoint(X2)
      | ~ rpoint(X3) ),
    inference(equality_resolution,[],[f808]) ).

cnf(c_64,plain,
    ( vf(X0,X1) != vd684
    | ~ rpoint(X0)
    | ~ rpoint(X1)
    | X0 = X1 ),
    inference(cnf_transformation,[],[f809]) ).

cnf(c_29397,plain,
    ( vf(sK2,vd1089) != vd684
    | ~ rpoint(sK2)
    | ~ rpoint(vd1086)
    | sK2 = vd1086 ),
    inference(superposition,[status(thm)],[c_23213,c_64]) ).

cnf(c_29426,plain,
    vf(sK2,vd1089) != vd684,
    inference(forward_subsumption_resolution,[status(thm)],[c_29397,c_59,c_60,c_61]) ).

cnf(c_92468,plain,
    vf(sK2,sK2) != vd684,
    inference(demodulation,[status(thm)],[c_29426,c_91297]) ).

cnf(c_92551,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_92468,c_20909]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : GEO274+1 : TPTP v8.1.2. Released v4.1.0.
% 0.12/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.34  % Computer : n028.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Tue Aug 29 23:21:26 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.20/0.46  Running first-order theorem proving
% 0.20/0.46  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 27.62/4.67  % SZS status Started for theBenchmark.p
% 27.62/4.67  % SZS status Theorem for theBenchmark.p
% 27.62/4.67  
% 27.62/4.67  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 27.62/4.67  
% 27.62/4.67  ------  iProver source info
% 27.62/4.67  
% 27.62/4.67  git: date: 2023-05-31 18:12:56 +0000
% 27.62/4.67  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 27.62/4.67  git: non_committed_changes: false
% 27.62/4.67  git: last_make_outside_of_git: false
% 27.62/4.67  
% 27.62/4.67  ------ Parsing...
% 27.62/4.67  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 27.62/4.67  
% 27.62/4.67  ------ 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 
% 27.62/4.67  
% 27.62/4.67  ------ Preprocessing... gs_s  sp: 14 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 27.62/4.67  
% 27.62/4.67  ------ Preprocessing... sf_s  rm: 3 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 27.62/4.67  ------ Proving...
% 27.62/4.67  ------ Problem Properties 
% 27.62/4.67  
% 27.62/4.67  
% 27.62/4.67  clauses                                 249
% 27.62/4.67  conjectures                             4
% 27.62/4.67  EPR                                     67
% 27.62/4.67  Horn                                    173
% 27.62/4.67  unary                                   18
% 27.62/4.67  binary                                  42
% 27.62/4.67  lits                                    1459
% 27.62/4.67  lits eq                                 169
% 27.62/4.67  fd_pure                                 0
% 27.62/4.67  fd_pseudo                               0
% 27.62/4.67  fd_cond                                 0
% 27.62/4.67  fd_pseudo_cond                          45
% 27.62/4.67  AC symbols                              0
% 27.62/4.67  
% 27.62/4.67  ------ Schedule dynamic 5 is on 
% 27.62/4.67  
% 27.62/4.67  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 27.62/4.67  
% 27.62/4.67  
% 27.62/4.67  ------ 
% 27.62/4.67  Current options:
% 27.62/4.67  ------ 
% 27.62/4.67  
% 27.62/4.67  
% 27.62/4.67  
% 27.62/4.67  
% 27.62/4.67  ------ Proving...
% 27.62/4.67  
% 27.62/4.67  
% 27.62/4.67  % SZS status Theorem for theBenchmark.p
% 27.62/4.67  
% 27.62/4.67  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 27.62/4.67  
% 27.62/4.67  
%------------------------------------------------------------------------------