TSTP Solution File: GEO341+1 by E---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1
% Problem  : GEO341+1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n002.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 : 2400s
% WCLimit  : 300s
% DateTime : Tue Oct 10 17:32:39 EDT 2023

% Result   : Theorem 186.96s 24.42s
% Output   : CNFRefutation 186.96s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   25
%            Number of leaves      :   17
% Syntax   : Number of formulae    :  123 (  27 unt;   0 def)
%            Number of atoms       :  667 ( 251 equ)
%            Maximal formula atoms :   20 (   5 avg)
%            Number of connectives :  924 ( 380   ~; 426   |; 102   &)
%                                         (   2 <=>;  14  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   28 (   6 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   11 (   9 usr;   1 prp; 0-3 aty)
%            Number of functors    :   15 (  15 usr;   9 con; 0-4 aty)
%            Number of variables   :  311 (   0 sgn; 109   !;  22   ?)

% Comments : 
%------------------------------------------------------------------------------
fof('qu(cond(axiom(184), 0), imp(cond(axiom(184), 0)))',axiom,
    ! [X182,X183,X184,X185,X186,X187] :
      ( ( ron(X186,X185)
        & X186 = X187
        & rpoint(X187)
        & rcenter(X184,X185)
        & X182 = X183
        & rpoint(X183) )
     => ( vf(X184,X182) = vf(X184,X186)
      <=> ron(X182,X185) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.M5UH2oV903/E---3.1_21462.p','qu(cond(axiom(184), 0), imp(cond(axiom(184), 0)))') ).

fof('qu(cond(axiom(53), 0), imp(cond(axiom(53), 0)))',axiom,
    ! [X241,X242] :
      ( ( X241 != X242
        & ? [X243] :
            ( X242 = X243
            & rpoint(X243) )
        & ? [X244] :
            ( X241 = X244
            & rpoint(X244) ) )
     => ? [X245] :
          ( ron(X242,X245)
          & rcenter(X241,X245)
          & rcircle(X245) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.M5UH2oV903/E---3.1_21462.p','qu(cond(axiom(53), 0), imp(cond(axiom(53), 0)))') ).

fof('and(pred(conjunct2(405), 5), and(pred(s2(plural(conjunct2(405))), 0), and(pred(s1(plural(conjunct2(405))), 0), and(pred(conjunct2(405), 1), and(pred(conjunct1(405), 9), and(pred(conjunct1(405), 8), and(pred(conjunct1(405), 7), and(qe(s3(plural(405))), and(qe(s2(plural(405))), qe(s1(plural(405))))))))))))',axiom,
    ( vd1406 = vd1407
    & ron(vd1400,vd1406)
    & ron(vd1399,vd1406)
    & rline(vd1407)
    & vd1400 != vd1401
    & vd1399 != vd1401
    & vd1399 != vd1400
    & ? [X1] :
        ( vd1401 = X1
        & rpoint(X1) )
    & ? [X2] :
        ( vd1400 = X2
        & rpoint(X2) )
    & ? [X3] :
        ( vd1399 = X3
        & rpoint(X3) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.M5UH2oV903/E---3.1_21462.p','and(pred(conjunct2(405), 5), and(pred(s2(plural(conjunct2(405))), 0), and(pred(s1(plural(conjunct2(405))), 0), and(pred(conjunct2(405), 1), and(pred(conjunct1(405), 9), and(pred(conjunct1(405), 8), and(pred(conjunct1(405), 7), and(qe(s3(plural(405))), and(qe(s2(plural(405))), qe(s1(plural(405))))))))))))') ).

fof('qu(cond(axiom(186), 0), imp(cond(axiom(186), 0)))',axiom,
    ! [X176,X177,X178,X179] :
      ( ( ron(X177,X179)
        & rcenter(X178,X179)
        & ? [X180] :
            ( X177 = X180
            & rpoint(X180) )
        & ? [X181] :
            ( X176 = X181
            & rpoint(X181) ) )
     => ( rless(vf(X178,X176),vf(X178,X177))
      <=> rinside(X176,X179) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.M5UH2oV903/E---3.1_21462.p','qu(cond(axiom(186), 0), imp(cond(axiom(186), 0)))') ).

fof('holds(conjunct1(conjunct2(406)), 1411, 0)',axiom,
    vf(vd1399,vd1401) = vf(vd1399,vd1409),
    file('/export/starexec/sandbox2/tmp/tmp.M5UH2oV903/E---3.1_21462.p','holds(conjunct1(conjunct2(406)), 1411, 0)') ).

fof('pred(406, 0)',axiom,
    rpoint(vd1409),
    file('/export/starexec/sandbox2/tmp/tmp.M5UH2oV903/E---3.1_21462.p','pred(406, 0)') ).

fof('qu(cond(axiom(79), 0), imp(cond(axiom(79), 0)))',axiom,
    ! [X214,X215,X216,X217] :
      ( ( rinside(X214,X216)
        & X216 = X217
        & rcircle(X217)
        & X214 = X215
        & rpoint(X215) )
     => ~ ron(X214,X216) ),
    file('/export/starexec/sandbox2/tmp/tmp.M5UH2oV903/E---3.1_21462.p','qu(cond(axiom(79), 0), imp(cond(axiom(79), 0)))') ).

fof('qu(cond(axiom(160), 0), imp(cond(axiom(160), 0)))',axiom,
    ! [X81,X82] :
      ( ( ? [X83] :
            ( X82 = X83
            & rpoint(X83) )
        & ? [X84] :
            ( X81 = X84
            & rpoint(X84) ) )
     => ? [X85] :
          ( vf(X81,X82) = X85
          & rreal(X85) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.M5UH2oV903/E---3.1_21462.p','qu(cond(axiom(160), 0), imp(cond(axiom(160), 0)))') ).

fof('qu(cond(axiom(151), 0), imp(cond(axiom(151), 0)))',axiom,
    ! [X306,X307,X308,X309,X310,X311] :
      ( ( rless(X308,X310)
        & rless(X306,X308)
        & X310 = X311
        & rreal(X311)
        & X308 = X309
        & rreal(X309)
        & X306 = X307
        & rreal(X307) )
     => rless(X306,X310) ),
    file('/export/starexec/sandbox2/tmp/tmp.M5UH2oV903/E---3.1_21462.p','qu(cond(axiom(151), 0), imp(cond(axiom(151), 0)))') ).

fof('qu(cond(axiom(145), 0), imp(cond(axiom(145), 0)))',axiom,
    ! [X312,X313,X314,X315] :
      ( ( X314 = X315
        & rreal(X315)
        & X312 = X313
        & rreal(X313) )
     => ( rless(X312,X314)
        | X312 = X314
        | rless(X314,X312) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.M5UH2oV903/E---3.1_21462.p','qu(cond(axiom(145), 0), imp(cond(axiom(145), 0)))') ).

fof('qu(cond(axiom(166), 0), imp(cond(axiom(166), 0)))',axiom,
    ! [X73,X74] :
      ( ( ? [X75] :
            ( X74 = X75
            & rpoint(X75) )
        & ? [X76] :
            ( X73 = X76
            & rpoint(X76) ) )
     => vf(X73,X74) = vf(X74,X73) ),
    file('/export/starexec/sandbox2/tmp/tmp.M5UH2oV903/E---3.1_21462.p','qu(cond(axiom(166), 0), imp(cond(axiom(166), 0)))') ).

fof('ass(cond(goal(340), 0), 1)',axiom,
    ! [X10,X11,X12] :
      ( ( vf(X10,X11) = vf(X10,X12)
        & X11 != X12
        & X10 != X12
        & X10 != X11
        & ? [X13] :
            ( X12 = X13
            & rpoint(X13) )
        & ? [X14] :
            ( X11 = X14
            & rpoint(X14) )
        & ? [X15] :
            ( X10 = X15
            & rpoint(X15) ) )
     => ! [X16,X17,X18,X19] :
          ( ( X16 = X17
            & X18 = X19
            & rR(X12,X10,X18)
            & rpoint(X19)
            & rR(X11,X10,X16)
            & rpoint(X17) )
         => vangle(X10,X11,X12) = vangle(X10,X12,X11) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.M5UH2oV903/E---3.1_21462.p','ass(cond(goal(340), 0), 1)') ).

fof('qu(cond(axiom(29), 0), imp(cond(axiom(29), 0)))',axiom,
    ! [X602,X603,X604,X605] :
      ( ( X604 != X605
        & ron(X605,X602)
        & ron(X604,X602)
        & ? [X606] :
            ( X605 = X606
            & rpoint(X606) )
        & ? [X607] :
            ( X604 = X607
            & rpoint(X607) )
        & X602 = X603
        & rline(X603) )
     => ? [X608] :
          ( rR(X605,X604,X608)
          & rpoint(X608) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.M5UH2oV903/E---3.1_21462.p','qu(cond(axiom(29), 0), imp(cond(axiom(29), 0)))') ).

fof('qu(cond(axiom(51), 0), imp(cond(axiom(51), 0)))',axiom,
    ! [X122,X123] :
      ( ( X122 != X123
        & ? [X124] :
            ( X123 = X124
            & rpoint(X124) )
        & ? [X125] :
            ( X122 = X125
            & rpoint(X125) ) )
     => ? [X126] :
          ( ron(X123,X126)
          & ron(X122,X126)
          & rline(X126) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.M5UH2oV903/E---3.1_21462.p','qu(cond(axiom(51), 0), imp(cond(axiom(51), 0)))') ).

fof('qu(cond(axiom(77), 0), imp(cond(axiom(77), 0)))',axiom,
    ! [X490,X491] :
      ( rcenter(X490,X491)
     => rinside(X490,X491) ),
    file('/export/starexec/sandbox2/tmp/tmp.M5UH2oV903/E---3.1_21462.p','qu(cond(axiom(77), 0), imp(cond(axiom(77), 0)))') ).

fof('holds(407, 1414, 0)',conjecture,
    vangle(vd1399,vd1401,vd1409) = vangle(vd1399,vd1409,vd1401),
    file('/export/starexec/sandbox2/tmp/tmp.M5UH2oV903/E---3.1_21462.p','holds(407, 1414, 0)') ).

fof('holds(conjunct2(conjunct2(conjunct2(406))), 1413, 0)',axiom,
    vd1409 != vd1401,
    file('/export/starexec/sandbox2/tmp/tmp.M5UH2oV903/E---3.1_21462.p','holds(conjunct2(conjunct2(conjunct2(406))), 1413, 0)') ).

fof(c_0_17,plain,
    ! [X953,X954,X955,X956,X957,X958] :
      ( ( vf(X955,X953) != vf(X955,X957)
        | ron(X953,X956)
        | ~ ron(X957,X956)
        | X957 != X958
        | ~ rpoint(X958)
        | ~ rcenter(X955,X956)
        | X953 != X954
        | ~ rpoint(X954) )
      & ( ~ ron(X953,X956)
        | vf(X955,X953) = vf(X955,X957)
        | ~ ron(X957,X956)
        | X957 != X958
        | ~ rpoint(X958)
        | ~ rcenter(X955,X956)
        | X953 != X954
        | ~ rpoint(X954) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(184), 0), imp(cond(axiom(184), 0)))'])])]) ).

cnf(c_0_18,plain,
    ( ron(X2,X4)
    | vf(X1,X2) != vf(X1,X3)
    | ~ ron(X3,X4)
    | X3 != X5
    | ~ rpoint(X5)
    | ~ rcenter(X1,X4)
    | X2 != X6
    | ~ rpoint(X6) ),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

fof(c_0_19,plain,
    ! [X1559,X1560,X1561,X1562] :
      ( ( ron(X1560,esk49_2(X1559,X1560))
        | X1559 = X1560
        | X1560 != X1561
        | ~ rpoint(X1561)
        | X1559 != X1562
        | ~ rpoint(X1562) )
      & ( rcenter(X1559,esk49_2(X1559,X1560))
        | X1559 = X1560
        | X1560 != X1561
        | ~ rpoint(X1561)
        | X1559 != X1562
        | ~ rpoint(X1562) )
      & ( rcircle(esk49_2(X1559,X1560))
        | X1559 = X1560
        | X1560 != X1561
        | ~ rpoint(X1561)
        | X1559 != X1562
        | ~ rpoint(X1562) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(53), 0), imp(cond(axiom(53), 0)))'])])])])]) ).

fof(c_0_20,plain,
    ( vd1406 = vd1407
    & ron(vd1400,vd1406)
    & ron(vd1399,vd1406)
    & rline(vd1407)
    & vd1400 != vd1401
    & vd1399 != vd1401
    & vd1399 != vd1400
    & vd1401 = esk7_0
    & rpoint(esk7_0)
    & vd1400 = esk8_0
    & rpoint(esk8_0)
    & vd1399 = esk9_0
    & rpoint(esk9_0) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],['and(pred(conjunct2(405), 5), and(pred(s2(plural(conjunct2(405))), 0), and(pred(s1(plural(conjunct2(405))), 0), and(pred(conjunct2(405), 1), and(pred(conjunct1(405), 9), and(pred(conjunct1(405), 8), and(pred(conjunct1(405), 7), and(qe(s3(plural(405))), and(qe(s2(plural(405))), qe(s1(plural(405))))))))))))'])]) ).

fof(c_0_21,plain,
    ! [X947,X948,X949,X950,X951,X952] :
      ( ( ~ rless(vf(X949,X947),vf(X949,X948))
        | rinside(X947,X950)
        | ~ ron(X948,X950)
        | ~ rcenter(X949,X950)
        | X948 != X951
        | ~ rpoint(X951)
        | X947 != X952
        | ~ rpoint(X952) )
      & ( ~ rinside(X947,X950)
        | rless(vf(X949,X947),vf(X949,X948))
        | ~ ron(X948,X950)
        | ~ rcenter(X949,X950)
        | X948 != X951
        | ~ rpoint(X951)
        | X947 != X952
        | ~ rpoint(X952) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(186), 0), imp(cond(axiom(186), 0)))'])])])]) ).

cnf(c_0_22,plain,
    ( ron(X1,X2)
    | vf(X3,X1) != vf(X3,X4)
    | ~ rcenter(X3,X2)
    | ~ ron(X4,X2)
    | ~ rpoint(X1)
    | ~ rpoint(X4) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_18])]) ).

cnf(c_0_23,plain,
    vf(vd1399,vd1401) = vf(vd1399,vd1409),
    inference(split_conjunct,[status(thm)],['holds(conjunct1(conjunct2(406)), 1411, 0)']) ).

cnf(c_0_24,plain,
    rpoint(vd1409),
    inference(split_conjunct,[status(thm)],['pred(406, 0)']) ).

cnf(c_0_25,plain,
    ( rcenter(X1,esk49_2(X1,X2))
    | X1 = X2
    | X2 != X3
    | ~ rpoint(X3)
    | X1 != X4
    | ~ rpoint(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_26,plain,
    rpoint(esk9_0),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_27,plain,
    vd1399 = esk9_0,
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_28,plain,
    ( rinside(X2,X4)
    | ~ rless(vf(X1,X2),vf(X1,X3))
    | ~ ron(X3,X4)
    | ~ rcenter(X1,X4)
    | X3 != X5
    | ~ rpoint(X5)
    | X2 != X6
    | ~ rpoint(X6) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_29,plain,
    ( ron(vd1409,X1)
    | vf(vd1399,vd1401) != vf(vd1399,X2)
    | ~ rcenter(vd1399,X1)
    | ~ ron(X2,X1)
    | ~ rpoint(X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24])]) ).

cnf(c_0_30,plain,
    ( X1 = X2
    | rcenter(X1,esk49_2(X1,X2))
    | ~ rpoint(X1)
    | ~ rpoint(X2) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_25])]) ).

cnf(c_0_31,plain,
    rpoint(vd1399),
    inference(rw,[status(thm)],[c_0_26,c_0_27]) ).

cnf(c_0_32,plain,
    ( ron(X1,esk49_2(X2,X1))
    | X2 = X1
    | X1 != X3
    | ~ rpoint(X3)
    | X2 != X4
    | ~ rpoint(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

fof(c_0_33,plain,
    ! [X214,X215,X216,X217] :
      ( ( rinside(X214,X216)
        & X216 = X217
        & rcircle(X217)
        & X214 = X215
        & rpoint(X215) )
     => ~ ron(X214,X216) ),
    inference(fof_simplification,[status(thm)],['qu(cond(axiom(79), 0), imp(cond(axiom(79), 0)))']) ).

cnf(c_0_34,plain,
    ( rinside(X1,X2)
    | ~ rcenter(X3,X2)
    | ~ rless(vf(X3,X1),vf(X3,X4))
    | ~ ron(X4,X2)
    | ~ rpoint(X1)
    | ~ rpoint(X4) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_28])]) ).

cnf(c_0_35,plain,
    ( vd1399 = X1
    | ron(vd1409,esk49_2(vd1399,X1))
    | vf(vd1399,vd1401) != vf(vd1399,X2)
    | ~ ron(X2,esk49_2(vd1399,X1))
    | ~ rpoint(X2)
    | ~ rpoint(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_31])]) ).

cnf(c_0_36,plain,
    ( X1 = X2
    | ron(X1,esk49_2(X2,X1))
    | ~ rpoint(X2)
    | ~ rpoint(X1) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_32])]) ).

cnf(c_0_37,plain,
    rpoint(esk7_0),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_38,plain,
    vd1401 = esk7_0,
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

fof(c_0_39,plain,
    ! [X1380,X1381,X1382,X1383] :
      ( ~ rinside(X1380,X1382)
      | X1382 != X1383
      | ~ rcircle(X1383)
      | X1380 != X1381
      | ~ rpoint(X1381)
      | ~ ron(X1380,X1382) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_33])]) ).

cnf(c_0_40,plain,
    ( rinside(vd1409,X1)
    | ~ rcenter(vd1399,X1)
    | ~ rless(vf(vd1399,vd1401),vf(vd1399,X2))
    | ~ ron(X2,X1)
    | ~ rpoint(X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_23]),c_0_24])]) ).

cnf(c_0_41,plain,
    ( vd1399 = X1
    | ron(vd1409,esk49_2(vd1399,X1))
    | vf(vd1399,vd1401) != vf(vd1399,X1)
    | ~ rpoint(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_31])]) ).

cnf(c_0_42,plain,
    rpoint(vd1401),
    inference(rw,[status(thm)],[c_0_37,c_0_38]) ).

cnf(c_0_43,plain,
    vd1399 != vd1401,
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

fof(c_0_44,plain,
    ! [X942,X943,X944,X945] :
      ( ( vf(X942,X943) = esk10_2(X942,X943)
        | X943 != X944
        | ~ rpoint(X944)
        | X942 != X945
        | ~ rpoint(X945) )
      & ( rreal(esk10_2(X942,X943))
        | X943 != X944
        | ~ rpoint(X944)
        | X942 != X945
        | ~ rpoint(X945) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(160), 0), imp(cond(axiom(160), 0)))'])])])])]) ).

cnf(c_0_45,plain,
    ( ~ rinside(X1,X2)
    | X2 != X3
    | ~ rcircle(X3)
    | X1 != X4
    | ~ rpoint(X4)
    | ~ ron(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_39]) ).

cnf(c_0_46,plain,
    ( vd1399 = X1
    | rinside(vd1409,esk49_2(vd1399,X1))
    | ~ rless(vf(vd1399,vd1401),vf(vd1399,X2))
    | ~ ron(X2,esk49_2(vd1399,X1))
    | ~ rpoint(X2)
    | ~ rpoint(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_30]),c_0_31])]) ).

cnf(c_0_47,plain,
    ron(vd1409,esk49_2(vd1399,vd1401)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_41]),c_0_42])]),c_0_43]) ).

fof(c_0_48,plain,
    ! [X1520,X1521,X1522,X1523,X1524,X1525] :
      ( ~ rless(X1522,X1524)
      | ~ rless(X1520,X1522)
      | X1524 != X1525
      | ~ rreal(X1525)
      | X1522 != X1523
      | ~ rreal(X1523)
      | X1520 != X1521
      | ~ rreal(X1521)
      | rless(X1520,X1524) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(151), 0), imp(cond(axiom(151), 0)))'])]) ).

fof(c_0_49,plain,
    ! [X1526,X1527,X1528,X1529] :
      ( X1528 != X1529
      | ~ rreal(X1529)
      | X1526 != X1527
      | ~ rreal(X1527)
      | rless(X1526,X1528)
      | X1526 = X1528
      | rless(X1528,X1526) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(145), 0), imp(cond(axiom(145), 0)))'])]) ).

cnf(c_0_50,plain,
    ( rreal(esk10_2(X1,X2))
    | X2 != X3
    | ~ rpoint(X3)
    | X1 != X4
    | ~ rpoint(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_44]) ).

cnf(c_0_51,plain,
    ( vf(X1,X2) = esk10_2(X1,X2)
    | X2 != X3
    | ~ rpoint(X3)
    | X1 != X4
    | ~ rpoint(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_44]) ).

cnf(c_0_52,plain,
    ( ~ rcircle(X1)
    | ~ rinside(X2,X1)
    | ~ ron(X2,X1)
    | ~ rpoint(X2) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_45])]) ).

cnf(c_0_53,plain,
    ( rinside(vd1409,esk49_2(vd1399,vd1401))
    | ~ rless(vf(vd1399,vd1401),vf(vd1399,vd1401)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_23]),c_0_24]),c_0_42])]),c_0_43]) ).

cnf(c_0_54,plain,
    ( rcircle(esk49_2(X1,X2))
    | X1 = X2
    | X2 != X3
    | ~ rpoint(X3)
    | X1 != X4
    | ~ rpoint(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

fof(c_0_55,plain,
    ! [X934,X935,X936,X937] :
      ( X935 != X936
      | ~ rpoint(X936)
      | X934 != X937
      | ~ rpoint(X937)
      | vf(X934,X935) = vf(X935,X934) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(166), 0), imp(cond(axiom(166), 0)))'])])]) ).

cnf(c_0_56,plain,
    ( rless(X3,X2)
    | ~ rless(X1,X2)
    | ~ rless(X3,X1)
    | X2 != X4
    | ~ rreal(X4)
    | X1 != X5
    | ~ rreal(X5)
    | X3 != X6
    | ~ rreal(X6) ),
    inference(split_conjunct,[status(thm)],[c_0_48]) ).

cnf(c_0_57,plain,
    ( rless(X3,X1)
    | X3 = X1
    | rless(X1,X3)
    | X1 != X2
    | ~ rreal(X2)
    | X3 != X4
    | ~ rreal(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_49]) ).

cnf(c_0_58,plain,
    ( rreal(esk10_2(X1,X2))
    | ~ rpoint(X1)
    | ~ rpoint(X2) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_50])]) ).

cnf(c_0_59,plain,
    ( esk10_2(X1,X2) = vf(X1,X2)
    | ~ rpoint(X1)
    | ~ rpoint(X2) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_51])]) ).

cnf(c_0_60,plain,
    ( ~ rcircle(esk49_2(vd1399,vd1401))
    | ~ rless(vf(vd1399,vd1401),vf(vd1399,vd1401)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_47]),c_0_24])]) ).

cnf(c_0_61,plain,
    ( X1 = X2
    | rcircle(esk49_2(X1,X2))
    | ~ rpoint(X1)
    | ~ rpoint(X2) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_54])]) ).

cnf(c_0_62,plain,
    ( vf(X3,X1) = vf(X1,X3)
    | X1 != X2
    | ~ rpoint(X2)
    | X3 != X4
    | ~ rpoint(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_55]) ).

cnf(c_0_63,plain,
    ( rless(X1,X2)
    | ~ rreal(X1)
    | ~ rreal(X3)
    | ~ rreal(X2)
    | ~ rless(X1,X3)
    | ~ rless(X3,X2) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_56])])]) ).

cnf(c_0_64,plain,
    ( X1 = X2
    | rless(X2,X1)
    | rless(X1,X2)
    | ~ rreal(X2)
    | ~ rreal(X1) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_57])]) ).

cnf(c_0_65,plain,
    ( rreal(vf(X1,X2))
    | ~ rpoint(X1)
    | ~ rpoint(X2) ),
    inference(spm,[status(thm)],[c_0_58,c_0_59]) ).

cnf(c_0_66,plain,
    ~ rless(vf(vd1399,vd1401),vf(vd1399,vd1401)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_31]),c_0_42])]),c_0_43]) ).

cnf(c_0_67,plain,
    ( vf(X1,X2) = vf(X2,X1)
    | ~ rpoint(X2)
    | ~ rpoint(X1) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_62])]) ).

cnf(c_0_68,plain,
    ( X1 = X2
    | rless(X2,X1)
    | rless(X1,X3)
    | ~ rreal(X1)
    | ~ rreal(X2)
    | ~ rreal(X3)
    | ~ rless(X2,X3) ),
    inference(spm,[status(thm)],[c_0_63,c_0_64]) ).

cnf(c_0_69,plain,
    rreal(vf(vd1399,vd1401)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_23]),c_0_31]),c_0_24])]) ).

cnf(c_0_70,plain,
    ( vd1399 = X1
    | rinside(vd1409,esk49_2(vd1399,X1))
    | ~ rless(vf(vd1399,vd1401),vf(vd1399,X1))
    | ~ rpoint(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_36]),c_0_31])]) ).

cnf(c_0_71,plain,
    ~ rless(vf(vd1401,vd1399),vf(vd1401,vd1399)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_42]),c_0_31])]) ).

cnf(c_0_72,plain,
    ( X1 = X2
    | X3 = X1
    | rless(X2,X1)
    | rless(X3,X2)
    | rless(X1,X3)
    | ~ rreal(X3)
    | ~ rreal(X1)
    | ~ rreal(X2) ),
    inference(spm,[status(thm)],[c_0_68,c_0_64]) ).

cnf(c_0_73,plain,
    rreal(vf(vd1401,vd1399)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_67]),c_0_42]),c_0_31])]) ).

cnf(c_0_74,plain,
    ( vd1399 = X1
    | rinside(vd1409,esk49_2(vd1399,X1))
    | ~ rless(vf(vd1399,vd1401),vf(X1,vd1399))
    | ~ rpoint(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_67]),c_0_31])]) ).

cnf(c_0_75,plain,
    ( X1 = vf(vd1401,vd1399)
    | rless(X1,vf(vd1401,vd1399))
    | rless(vf(vd1401,vd1399),X1)
    | ~ rreal(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_73])]) ).

cnf(c_0_76,plain,
    ( vf(vd1399,vd1401) = vf(vd1401,vd1399)
    | rinside(vd1409,esk49_2(vd1399,vd1401))
    | rless(vf(vd1401,vd1399),vf(vd1399,vd1401)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_42]),c_0_69])]),c_0_43]) ).

cnf(c_0_77,plain,
    ( vf(vd1399,vd1401) = vf(vd1401,vd1399)
    | rless(vf(vd1401,vd1399),vf(vd1399,vd1401))
    | ~ rcircle(esk49_2(vd1399,vd1401)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_76]),c_0_47]),c_0_24])]) ).

fof(c_0_78,plain,
    ! [X793,X794,X795,X796,X797,X798,X799,X800,X801,X802] :
      ( vf(X793,X794) != vf(X793,X795)
      | X794 = X795
      | X793 = X795
      | X793 = X794
      | X795 != X796
      | ~ rpoint(X796)
      | X794 != X797
      | ~ rpoint(X797)
      | X793 != X798
      | ~ rpoint(X798)
      | X799 != X800
      | X801 != X802
      | ~ rR(X795,X793,X801)
      | ~ rpoint(X802)
      | ~ rR(X794,X793,X799)
      | ~ rpoint(X800)
      | vangle(X793,X794,X795) = vangle(X793,X795,X794) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(goal(340), 0), 1)'])])]) ).

cnf(c_0_79,plain,
    ( vd1399 = X1
    | rinside(vd1409,esk49_2(vd1399,X1))
    | ~ rless(vf(vd1401,vd1399),vf(vd1399,X1))
    | ~ rpoint(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_67]),c_0_42]),c_0_31])]) ).

cnf(c_0_80,plain,
    ( vf(vd1399,vd1401) = vf(vd1401,vd1399)
    | rless(vf(vd1401,vd1399),vf(vd1399,vd1401)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_61]),c_0_31]),c_0_42])]),c_0_43]) ).

cnf(c_0_81,plain,
    ( X2 = X3
    | X1 = X3
    | X1 = X2
    | vangle(X1,X2,X3) = vangle(X1,X3,X2)
    | vf(X1,X2) != vf(X1,X3)
    | X3 != X4
    | ~ rpoint(X4)
    | X2 != X5
    | ~ rpoint(X5)
    | X1 != X6
    | ~ rpoint(X6)
    | X7 != X8
    | X9 != X10
    | ~ rR(X3,X1,X9)
    | ~ rpoint(X10)
    | ~ rR(X2,X1,X7)
    | ~ rpoint(X8) ),
    inference(split_conjunct,[status(thm)],[c_0_78]) ).

cnf(c_0_82,plain,
    ( vf(vd1399,vd1401) = vf(vd1401,vd1399)
    | rinside(vd1409,esk49_2(vd1399,vd1401)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_80]),c_0_42])]),c_0_43]) ).

fof(c_0_83,plain,
    ! [X1198,X1199,X1200,X1201,X1202,X1203] :
      ( ( rR(X1201,X1200,esk20_4(X1198,X1199,X1200,X1201))
        | X1200 = X1201
        | ~ ron(X1201,X1198)
        | ~ ron(X1200,X1198)
        | X1201 != X1202
        | ~ rpoint(X1202)
        | X1200 != X1203
        | ~ rpoint(X1203)
        | X1198 != X1199
        | ~ rline(X1199) )
      & ( rpoint(esk20_4(X1198,X1199,X1200,X1201))
        | X1200 = X1201
        | ~ ron(X1201,X1198)
        | ~ ron(X1200,X1198)
        | X1201 != X1202
        | ~ rpoint(X1202)
        | X1200 != X1203
        | ~ rpoint(X1203)
        | X1198 != X1199
        | ~ rline(X1199) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(29), 0), imp(cond(axiom(29), 0)))'])])])])]) ).

fof(c_0_84,plain,
    ! [X1014,X1015,X1016,X1017] :
      ( ( ron(X1015,esk11_2(X1014,X1015))
        | X1014 = X1015
        | X1015 != X1016
        | ~ rpoint(X1016)
        | X1014 != X1017
        | ~ rpoint(X1017) )
      & ( ron(X1014,esk11_2(X1014,X1015))
        | X1014 = X1015
        | X1015 != X1016
        | ~ rpoint(X1016)
        | X1014 != X1017
        | ~ rpoint(X1017) )
      & ( rline(esk11_2(X1014,X1015))
        | X1014 = X1015
        | X1015 != X1016
        | ~ rpoint(X1016)
        | X1014 != X1017
        | ~ rpoint(X1017) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(51), 0), imp(cond(axiom(51), 0)))'])])])])]) ).

cnf(c_0_85,plain,
    ( vangle(X1,X2,X3) = vangle(X1,X3,X2)
    | X2 = X3
    | X1 = X3
    | X1 = X2
    | vf(X1,X2) != vf(X1,X3)
    | ~ rR(X3,X1,X4)
    | ~ rR(X2,X1,X5)
    | ~ rpoint(X4)
    | ~ rpoint(X5)
    | ~ rpoint(X1)
    | ~ rpoint(X2)
    | ~ rpoint(X3) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_81])])])])]) ).

cnf(c_0_86,plain,
    ( vf(vd1399,vd1401) = vf(vd1401,vd1399)
    | ~ rcircle(esk49_2(vd1399,vd1401)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_82]),c_0_47]),c_0_24])]) ).

cnf(c_0_87,plain,
    ( rR(X1,X2,esk20_4(X3,X4,X2,X1))
    | X2 = X1
    | ~ ron(X1,X3)
    | ~ ron(X2,X3)
    | X1 != X5
    | ~ rpoint(X5)
    | X2 != X6
    | ~ rpoint(X6)
    | X3 != X4
    | ~ rline(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_83]) ).

cnf(c_0_88,plain,
    ( ron(X1,esk11_2(X2,X1))
    | X2 = X1
    | X1 != X3
    | ~ rpoint(X3)
    | X2 != X4
    | ~ rpoint(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_84]) ).

cnf(c_0_89,plain,
    ( rline(esk11_2(X1,X2))
    | X1 = X2
    | X2 != X3
    | ~ rpoint(X3)
    | X1 != X4
    | ~ rpoint(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_84]) ).

fof(c_0_90,plain,
    ! [X1530,X1531] :
      ( ~ rcenter(X1530,X1531)
      | rinside(X1530,X1531) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(77), 0), imp(cond(axiom(77), 0)))'])]) ).

cnf(c_0_91,plain,
    ( vangle(vd1399,X1,vd1409) = vangle(vd1399,vd1409,X1)
    | vd1409 = vd1399
    | X1 = vd1409
    | vd1399 = X1
    | vf(vd1399,X1) != vf(vd1399,vd1401)
    | ~ rR(vd1409,vd1399,X2)
    | ~ rR(X1,vd1399,X3)
    | ~ rpoint(X2)
    | ~ rpoint(X3)
    | ~ rpoint(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_23]),c_0_31]),c_0_24])]) ).

cnf(c_0_92,plain,
    vf(vd1399,vd1401) = vf(vd1401,vd1399),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_61]),c_0_31]),c_0_42])]),c_0_43]) ).

fof(c_0_93,negated_conjecture,
    vangle(vd1399,vd1401,vd1409) != vangle(vd1399,vd1409,vd1401),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],['holds(407, 1414, 0)'])]) ).

cnf(c_0_94,plain,
    ( X1 = X2
    | rR(X1,X2,esk20_4(X3,X3,X2,X1))
    | ~ rline(X3)
    | ~ ron(X2,X3)
    | ~ ron(X1,X3)
    | ~ rpoint(X2)
    | ~ rpoint(X1) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_87])])]) ).

cnf(c_0_95,plain,
    ( X1 = X2
    | ron(X1,esk11_2(X2,X1))
    | ~ rpoint(X2)
    | ~ rpoint(X1) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_88])]) ).

cnf(c_0_96,plain,
    ( X1 = X2
    | rline(esk11_2(X1,X2))
    | ~ rpoint(X1)
    | ~ rpoint(X2) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_89])]) ).

cnf(c_0_97,plain,
    ( ron(X1,esk11_2(X1,X2))
    | X1 = X2
    | X2 != X3
    | ~ rpoint(X3)
    | X1 != X4
    | ~ rpoint(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_84]) ).

cnf(c_0_98,plain,
    ( rpoint(esk20_4(X1,X2,X3,X4))
    | X3 = X4
    | ~ ron(X4,X1)
    | ~ ron(X3,X1)
    | X4 != X5
    | ~ rpoint(X5)
    | X3 != X6
    | ~ rpoint(X6)
    | X1 != X2
    | ~ rline(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_83]) ).

cnf(c_0_99,plain,
    ( rinside(X1,X2)
    | ~ rcenter(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_90]) ).

cnf(c_0_100,plain,
    ( vangle(vd1399,X1,vd1409) = vangle(vd1399,vd1409,X1)
    | vd1409 = vd1399
    | vd1399 = X1
    | X1 = vd1409
    | vf(vd1399,X1) != vf(vd1401,vd1399)
    | ~ rR(vd1409,vd1399,X2)
    | ~ rR(X1,vd1399,X3)
    | ~ rpoint(X2)
    | ~ rpoint(X3)
    | ~ rpoint(X1) ),
    inference(rw,[status(thm)],[c_0_91,c_0_92]) ).

cnf(c_0_101,negated_conjecture,
    vangle(vd1399,vd1401,vd1409) != vangle(vd1399,vd1409,vd1401),
    inference(split_conjunct,[status(thm)],[c_0_93]) ).

cnf(c_0_102,plain,
    vd1409 != vd1401,
    inference(split_conjunct,[status(thm)],['holds(conjunct2(conjunct2(conjunct2(406))), 1413, 0)']) ).

cnf(c_0_103,plain,
    ( X1 = X2
    | X3 = X1
    | rR(X3,X1,esk20_4(esk11_2(X2,X1),esk11_2(X2,X1),X1,X3))
    | ~ ron(X3,esk11_2(X2,X1))
    | ~ rpoint(X1)
    | ~ rpoint(X3)
    | ~ rpoint(X2) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_95]),c_0_96]) ).

cnf(c_0_104,plain,
    ( X1 = X2
    | ron(X1,esk11_2(X1,X2))
    | ~ rpoint(X1)
    | ~ rpoint(X2) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_97])]) ).

cnf(c_0_105,plain,
    ( X1 = X2
    | rpoint(esk20_4(X3,X3,X1,X2))
    | ~ rline(X3)
    | ~ ron(X2,X3)
    | ~ ron(X1,X3)
    | ~ rpoint(X1)
    | ~ rpoint(X2) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_98])])]) ).

cnf(c_0_106,plain,
    ( X1 = X2
    | rinside(X1,esk49_2(X1,X2))
    | ~ rpoint(X1)
    | ~ rpoint(X2) ),
    inference(spm,[status(thm)],[c_0_99,c_0_30]) ).

cnf(c_0_107,plain,
    ( vd1409 = vd1399
    | ~ rR(vd1409,vd1399,X1)
    | ~ rR(vd1401,vd1399,X2)
    | ~ rpoint(X1)
    | ~ rpoint(X2) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_92]),c_0_42])]),c_0_101]),c_0_43]),c_0_102]) ).

cnf(c_0_108,plain,
    ( X1 = X2
    | rR(X2,X1,esk20_4(esk11_2(X2,X1),esk11_2(X2,X1),X1,X2))
    | ~ rpoint(X1)
    | ~ rpoint(X2) ),
    inference(spm,[status(thm)],[c_0_103,c_0_104]) ).

cnf(c_0_109,plain,
    ( X1 = X2
    | X3 = X1
    | rpoint(esk20_4(esk11_2(X1,X2),esk11_2(X1,X2),X3,X1))
    | ~ ron(X3,esk11_2(X1,X2))
    | ~ rpoint(X3)
    | ~ rpoint(X1)
    | ~ rpoint(X2) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_104]),c_0_96]) ).

cnf(c_0_110,plain,
    ( X1 = X2
    | ~ ron(X1,esk49_2(X1,X2))
    | ~ rpoint(X1)
    | ~ rpoint(X2) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_106]),c_0_61]) ).

cnf(c_0_111,plain,
    ( ron(X1,X2)
    | vf(vd1399,X1) != vf(vd1399,vd1401)
    | ~ rcenter(vd1399,X2)
    | ~ ron(vd1409,X2)
    | ~ rpoint(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24])]) ).

cnf(c_0_112,plain,
    ( vd1409 = vd1399
    | ~ rR(vd1401,vd1399,X1)
    | ~ rpoint(esk20_4(esk11_2(vd1409,vd1399),esk11_2(vd1409,vd1399),vd1399,vd1409))
    | ~ rpoint(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_108]),c_0_31]),c_0_24])]) ).

cnf(c_0_113,plain,
    ( X1 = X2
    | rpoint(esk20_4(esk11_2(X1,X2),esk11_2(X1,X2),X2,X1))
    | ~ rpoint(X2)
    | ~ rpoint(X1) ),
    inference(spm,[status(thm)],[c_0_109,c_0_95]) ).

cnf(c_0_114,plain,
    ( X1 = X2
    | vf(vd1399,X1) != vf(vd1399,vd1401)
    | ~ rcenter(vd1399,esk49_2(X1,X2))
    | ~ ron(vd1409,esk49_2(X1,X2))
    | ~ rpoint(X1)
    | ~ rpoint(X2) ),
    inference(spm,[status(thm)],[c_0_110,c_0_111]) ).

cnf(c_0_115,plain,
    ( vd1409 = vd1399
    | ~ rR(vd1401,vd1399,X1)
    | ~ rpoint(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_113]),c_0_31]),c_0_24])]) ).

cnf(c_0_116,plain,
    ( vd1399 = X1
    | vf(vd1399,vd1399) != vf(vd1399,vd1401)
    | ~ ron(vd1409,esk49_2(vd1399,X1))
    | ~ rpoint(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_30]),c_0_31])]) ).

cnf(c_0_117,plain,
    ( vd1409 = vd1399
    | ~ rpoint(esk20_4(esk11_2(vd1401,vd1399),esk11_2(vd1401,vd1399),vd1399,vd1401)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_108]),c_0_31]),c_0_42])]),c_0_43]) ).

cnf(c_0_118,plain,
    vf(vd1399,vd1399) != vf(vd1399,vd1401),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_47]),c_0_42])]),c_0_43]) ).

cnf(c_0_119,plain,
    vf(vd1399,vd1409) = vf(vd1401,vd1399),
    inference(rw,[status(thm)],[c_0_23,c_0_92]) ).

cnf(c_0_120,plain,
    vd1409 = vd1399,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_113]),c_0_31]),c_0_42])]),c_0_43]) ).

cnf(c_0_121,plain,
    vf(vd1399,vd1399) != vf(vd1401,vd1399),
    inference(rw,[status(thm)],[c_0_118,c_0_92]) ).

cnf(c_0_122,plain,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_119,c_0_120]),c_0_121]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.15  % Problem    : GEO341+1 : TPTP v8.1.2. Released v4.1.0.
% 0.12/0.16  % Command    : run_E %s %d THM
% 0.17/0.37  % Computer : n002.cluster.edu
% 0.17/0.37  % Model    : x86_64 x86_64
% 0.17/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.37  % Memory   : 8042.1875MB
% 0.17/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.37  % CPULimit   : 2400
% 0.17/0.37  % WCLimit    : 300
% 0.17/0.37  % DateTime   : Tue Oct  3 06:57:30 EDT 2023
% 0.17/0.37  % CPUTime    : 
% 0.23/0.53  Running first-order theorem proving
% 0.23/0.53  Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.M5UH2oV903/E---3.1_21462.p
% 186.96/24.42  # Version: 3.1pre001
% 186.96/24.42  # Preprocessing class: FSLSSMSMSSSNFFN.
% 186.96/24.42  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 186.96/24.42  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 186.96/24.42  # Starting new_bool_3 with 300s (1) cores
% 186.96/24.42  # Starting new_bool_1 with 300s (1) cores
% 186.96/24.42  # Starting sh5l with 300s (1) cores
% 186.96/24.42  # sh5l with pid 21544 completed with status 0
% 186.96/24.42  # Result found by sh5l
% 186.96/24.42  # Preprocessing class: FSLSSMSMSSSNFFN.
% 186.96/24.42  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 186.96/24.42  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 186.96/24.42  # Starting new_bool_3 with 300s (1) cores
% 186.96/24.42  # Starting new_bool_1 with 300s (1) cores
% 186.96/24.42  # Starting sh5l with 300s (1) cores
% 186.96/24.42  # SinE strategy is gf500_gu_R04_F100_L20000
% 186.96/24.42  # Search class: FGHSF-FSLM33-SFFFFFNN
% 186.96/24.42  # Scheduled 10 strats onto 1 cores with 300 seconds (300 total)
% 186.96/24.42  # Starting G-E--_107_C41_F1_PI_AE_Q4_CS_SP_PS_S2U with 55s (1) cores
% 186.96/24.42  # G-E--_107_C41_F1_PI_AE_Q4_CS_SP_PS_S2U with pid 21553 completed with status 0
% 186.96/24.42  # Result found by G-E--_107_C41_F1_PI_AE_Q4_CS_SP_PS_S2U
% 186.96/24.42  # Preprocessing class: FSLSSMSMSSSNFFN.
% 186.96/24.42  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 186.96/24.42  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 186.96/24.42  # Starting new_bool_3 with 300s (1) cores
% 186.96/24.42  # Starting new_bool_1 with 300s (1) cores
% 186.96/24.42  # Starting sh5l with 300s (1) cores
% 186.96/24.42  # SinE strategy is gf500_gu_R04_F100_L20000
% 186.96/24.42  # Search class: FGHSF-FSLM33-SFFFFFNN
% 186.96/24.42  # Scheduled 10 strats onto 1 cores with 300 seconds (300 total)
% 186.96/24.42  # Starting G-E--_107_C41_F1_PI_AE_Q4_CS_SP_PS_S2U with 55s (1) cores
% 186.96/24.42  # Preprocessing time       : 0.020 s
% 186.96/24.42  # Presaturation interreduction done
% 186.96/24.42  
% 186.96/24.42  # Proof found!
% 186.96/24.42  # SZS status Theorem
% 186.96/24.42  # SZS output start CNFRefutation
% See solution above
% 186.96/24.42  # Parsed axioms                        : 123
% 186.96/24.42  # Removed by relevancy pruning/SinE    : 8
% 186.96/24.42  # Initial clauses                      : 274
% 186.96/24.42  # Removed in clause preprocessing      : 2
% 186.96/24.42  # Initial clauses in saturation        : 272
% 186.96/24.42  # Processed clauses                    : 61710
% 186.96/24.42  # ...of these trivial                  : 229
% 186.96/24.42  # ...subsumed                          : 45999
% 186.96/24.42  # ...remaining for further processing  : 15482
% 186.96/24.42  # Other redundant clauses eliminated   : 1723
% 186.96/24.42  # Clauses deleted for lack of memory   : 0
% 186.96/24.42  # Backward-subsumed                    : 2573
% 186.96/24.42  # Backward-rewritten                   : 5783
% 186.96/24.42  # Generated clauses                    : 784486
% 186.96/24.42  # ...of the previous two non-redundant : 728005
% 186.96/24.42  # ...aggressively subsumed             : 0
% 186.96/24.42  # Contextual simplify-reflections      : 3324
% 186.96/24.42  # Paramodulations                      : 783218
% 186.96/24.42  # Factorizations                       : 212
% 186.96/24.42  # NegExts                              : 0
% 186.96/24.42  # Equation resolutions                 : 1974
% 186.96/24.42  # Total rewrite steps                  : 760506
% 186.96/24.42  # Propositional unsat checks           : 0
% 186.96/24.42  #    Propositional check models        : 0
% 186.96/24.42  #    Propositional check unsatisfiable : 0
% 186.96/24.42  #    Propositional clauses             : 0
% 186.96/24.42  #    Propositional clauses after purity: 0
% 186.96/24.42  #    Propositional unsat core size     : 0
% 186.96/24.42  #    Propositional preprocessing time  : 0.000
% 186.96/24.42  #    Propositional encoding time       : 0.000
% 186.96/24.42  #    Propositional solver time         : 0.000
% 186.96/24.42  #    Success case prop preproc time    : 0.000
% 186.96/24.42  #    Success case prop encoding time   : 0.000
% 186.96/24.42  #    Success case prop solver time     : 0.000
% 186.96/24.42  # Current number of processed clauses  : 6604
% 186.96/24.42  #    Positive orientable unit clauses  : 180
% 186.96/24.42  #    Positive unorientable unit clauses: 0
% 186.96/24.42  #    Negative unit clauses             : 182
% 186.96/24.42  #    Non-unit-clauses                  : 6242
% 186.96/24.42  # Current number of unprocessed clauses: 662762
% 186.96/24.42  # ...number of literals in the above   : 6637092
% 186.96/24.42  # Current number of archived formulas  : 0
% 186.96/24.42  # Current number of archived clauses   : 8626
% 186.96/24.42  # Clause-clause subsumption calls (NU) : 32002952
% 186.96/24.42  # Rec. Clause-clause subsumption calls : 2712075
% 186.96/24.42  # Non-unit clause-clause subsumptions  : 42668
% 186.96/24.42  # Unit Clause-clause subsumption calls : 345111
% 186.96/24.42  # Rewrite failures with RHS unbound    : 0
% 186.96/24.42  # BW rewrite match attempts            : 3424
% 186.96/24.42  # BW rewrite match successes           : 15
% 186.96/24.42  # Condensation attempts                : 0
% 186.96/24.42  # Condensation successes               : 0
% 186.96/24.42  # Termbank termtop insertions          : 27462504
% 186.96/24.42  
% 186.96/24.42  # -------------------------------------------------
% 186.96/24.42  # User time                : 22.719 s
% 186.96/24.42  # System time              : 0.449 s
% 186.96/24.42  # Total time               : 23.168 s
% 186.96/24.42  # Maximum resident set size: 4416 pages
% 186.96/24.42  
% 186.96/24.42  # -------------------------------------------------
% 186.96/24.42  # User time                : 22.729 s
% 186.96/24.42  # System time              : 0.452 s
% 186.96/24.42  # Total time               : 23.181 s
% 186.96/24.42  # Maximum resident set size: 2568 pages
% 186.96/24.42  % E---3.1 exiting
% 186.96/24.42  % E---3.1 exiting
%------------------------------------------------------------------------------