TSTP Solution File: GEO319+1 by E---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1
% Problem  : GEO319+1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n006.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 17:32:35 EDT 2023

% Result   : Theorem 422.74s 54.49s
% Output   : CNFRefutation 422.74s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :   31
% Syntax   : Number of formulae    :  195 (  60 unt;   0 def)
%            Number of atoms       :  897 ( 325 equ)
%            Maximal formula atoms :   32 (   4 avg)
%            Number of connectives : 1239 ( 537   ~; 542   |; 138   &)
%                                         (   2 <=>;  20  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   25 (   6 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   11 (   9 usr;   1 prp; 0-3 aty)
%            Number of functors    :   19 (  19 usr;  14 con; 0-3 aty)
%            Number of variables   :  446 (   0 sgn; 159   !;  39   ?)

% Comments : 
%------------------------------------------------------------------------------
fof('qu(cond(axiom(160), 0), imp(cond(axiom(160), 0)))',axiom,
    ! [X64,X65] :
      ( ( ? [X66] :
            ( X65 = X66
            & rpoint(X66) )
        & ? [X67] :
            ( X64 = X67
            & rpoint(X67) ) )
     => ? [X68] :
          ( vf(X64,X65) = X68
          & rreal(X68) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.jmGRDzjBU1/E---3.1_30669.p','qu(cond(axiom(160), 0), imp(cond(axiom(160), 0)))') ).

fof('qu(cond(axiom(180), 0), imp(cond(axiom(180), 0)))',axiom,
    ! [X199,X200,X201] :
      ( ( rR(X200,X199,X201)
        & ? [X202] :
            ( X201 = X202
            & rpoint(X202) )
        & ? [X203] :
            ( X200 = X203
            & rpoint(X203) )
        & ? [X204] :
            ( X199 = X204
            & rpoint(X204) ) )
     => vplus(vf(X199,X200),vf(X200,X201)) = vf(X199,X201) ),
    file('/export/starexec/sandbox2/tmp/tmp.jmGRDzjBU1/E---3.1_30669.p','qu(cond(axiom(180), 0), imp(cond(axiom(180), 0)))') ).

fof('qu(cond(axiom(166), 0), imp(cond(axiom(166), 0)))',axiom,
    ! [X60,X61] :
      ( ( ? [X62] :
            ( X61 = X62
            & rpoint(X62) )
        & ? [X63] :
            ( X60 = X63
            & rpoint(X63) ) )
     => vf(X60,X61) = vf(X61,X60) ),
    file('/export/starexec/sandbox2/tmp/tmp.jmGRDzjBU1/E---3.1_30669.p','qu(cond(axiom(166), 0), imp(cond(axiom(166), 0)))') ).

fof('qu(cond(axiom(143), 0), imp(cond(axiom(143), 0)))',axiom,
    ! [X181,X182,X183,X184] :
      ( ( X183 = X184
        & rreal(X184)
        & X181 = X182
        & rreal(X182) )
     => vplus(X181,X183) = vplus(X183,X181) ),
    file('/export/starexec/sandbox2/tmp/tmp.jmGRDzjBU1/E---3.1_30669.p','qu(cond(axiom(143), 0), imp(cond(axiom(143), 0)))') ).

fof('and(holds(conjunct2(345), 1294, 0), and(pred(conjunct1(345), 9), and(pred(conjunct1(345), 8), and(pred(conjunct1(345), 7), and(qe(s3(plural(345))), and(qe(s2(plural(345))), qe(s1(plural(345)))))))))',axiom,
    ( vf(vd1287,vd1288) = vf(vd1287,vd1289)
    & vd1288 != vd1289
    & vd1287 != vd1289
    & vd1287 != vd1288
    & ? [X7] :
        ( vd1289 = X7
        & rpoint(X7) )
    & ? [X8] :
        ( vd1288 = X8
        & rpoint(X8) )
    & ? [X9] :
        ( vd1287 = X9
        & rpoint(X9) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.jmGRDzjBU1/E---3.1_30669.p','and(holds(conjunct2(345), 1294, 0), and(pred(conjunct1(345), 9), and(pred(conjunct1(345), 8), and(pred(conjunct1(345), 7), and(qe(s3(plural(345))), and(qe(s2(plural(345))), qe(s1(plural(345)))))))))') ).

fof('qu(cond(axiom(81), 0), imp(cond(axiom(81), 0)))',axiom,
    ! [X1,X2,X3] :
      ( ( rR(X2,X1,X3)
        & ? [X4] :
            ( X3 = X4
            & rpoint(X4) )
        & ? [X5] :
            ( X2 = X5
            & rpoint(X5) )
        & ? [X6] :
            ( X1 = X6
            & rpoint(X6) ) )
     => ( ~ rR(X1,X2,X3)
        & X1 != X3
        & X1 != X2
        & rR(X2,X3,X1) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.jmGRDzjBU1/E---3.1_30669.p','qu(cond(axiom(81), 0), imp(cond(axiom(81), 0)))') ).

fof('ass(cond(156, 0), 0)',axiom,
    ! [X171,X172,X173,X174,X175,X176] :
      ( ( vplus(X171,X175) = vplus(X173,X175)
        & X175 = X176
        & rreal(X176)
        & X173 = X174
        & rreal(X174)
        & X171 = X172
        & rreal(X172) )
     => X171 = X173 ),
    file('/export/starexec/sandbox2/tmp/tmp.jmGRDzjBU1/E---3.1_30669.p','ass(cond(156, 0), 0)') ).

fof('pred(348, 1)',axiom,
    rpoint(vd1300),
    file('/export/starexec/sandbox2/tmp/tmp.jmGRDzjBU1/E---3.1_30669.p','pred(348, 1)') ).

fof('pred(348, 4)',axiom,
    vd1299 = vd1300,
    file('/export/starexec/sandbox2/tmp/tmp.jmGRDzjBU1/E---3.1_30669.p','pred(348, 4)') ).

fof('qu(cond(axiom(87), 0), imp(cond(axiom(87), 0)))',axiom,
    ! [X420,X421,X422,X423] :
      ( ( rR(X423,X420,X421)
        & rR(X421,X420,X422)
        & ? [X424] :
            ( X423 = X424
            & rpoint(X424) )
        & ? [X425] :
            ( X422 = X425
            & rpoint(X425) )
        & ? [X426] :
            ( X421 = X426
            & rpoint(X426) )
        & ? [X427] :
            ( X420 = X427
            & rpoint(X427) ) )
     => rR(X423,X420,X422) ),
    file('/export/starexec/sandbox2/tmp/tmp.jmGRDzjBU1/E---3.1_30669.p','qu(cond(axiom(87), 0), imp(cond(axiom(87), 0)))') ).

fof('holds(conjunct1(conjunct2(conjunct2(368))), 1333, 0)',conjecture,
    vd1329 != vd1302,
    file('/export/starexec/sandbox2/tmp/tmp.jmGRDzjBU1/E---3.1_30669.p','holds(conjunct1(conjunct2(conjunct2(368))), 1333, 0)') ).

fof('and(pred(conjunct2(348), 4), and(holds(conjunct2(348), 1304, 0), and(pred(conjunct2(348), 1), holds(conjunct1(348), 1301, 0))))',axiom,
    ( vd1302 = vd1303
    & rR(vd1289,vd1287,vd1302)
    & rpoint(vd1303)
    & rR(vd1288,vd1287,vd1299) ),
    file('/export/starexec/sandbox2/tmp/tmp.jmGRDzjBU1/E---3.1_30669.p','and(pred(conjunct2(348), 4), and(holds(conjunct2(348), 1304, 0), and(pred(conjunct2(348), 1), holds(conjunct1(348), 1301, 0))))') ).

fof('holds(conjunct1(367), 1330, 0)',axiom,
    rR(vd1329,vd1287,vd1299),
    file('/export/starexec/sandbox2/tmp/tmp.jmGRDzjBU1/E---3.1_30669.p','holds(conjunct1(367), 1330, 0)') ).

fof('pred(367, 0)',axiom,
    rpoint(vd1329),
    file('/export/starexec/sandbox2/tmp/tmp.jmGRDzjBU1/E---3.1_30669.p','pred(367, 0)') ).

fof('qu(cond(axiom(149), 0), imp(cond(axiom(149), 0)))',axiom,
    ! [X69,X70] :
      ( ( X69 = X70
        & rreal(X70) )
     => ~ rless(X69,X69) ),
    file('/export/starexec/sandbox2/tmp/tmp.jmGRDzjBU1/E---3.1_30669.p','qu(cond(axiom(149), 0), imp(cond(axiom(149), 0)))') ).

fof('qu(cond(axiom(153), 0), imp(cond(axiom(153), 0)))',axiom,
    ! [X224,X225,X226,X227,X228,X229] :
      ( ( rless(X224,X226)
        & X228 = X229
        & rreal(X229)
        & X226 = X227
        & rreal(X227)
        & X224 = X225
        & rreal(X225) )
     => rless(vplus(X224,X228),vplus(X226,X228)) ),
    file('/export/starexec/sandbox2/tmp/tmp.jmGRDzjBU1/E---3.1_30669.p','qu(cond(axiom(153), 0), imp(cond(axiom(153), 0)))') ).

fof('qu(cond(axiom(141), 0), imp(cond(axiom(141), 0)))',axiom,
    ! [X185,X186] :
      ( ( X185 = X186
        & rreal(X186) )
     => vplus(X185,v0) = X185 ),
    file('/export/starexec/sandbox2/tmp/tmp.jmGRDzjBU1/E---3.1_30669.p','qu(cond(axiom(141), 0), imp(cond(axiom(141), 0)))') ).

fof('pred(axiom(137), 1)',axiom,
    rreal(vd684),
    file('/export/starexec/sandbox2/tmp/tmp.jmGRDzjBU1/E---3.1_30669.p','pred(axiom(137), 1)') ).

fof('pred(axiom(137), 2)',axiom,
    v0 = vd684,
    file('/export/starexec/sandbox2/tmp/tmp.jmGRDzjBU1/E---3.1_30669.p','pred(axiom(137), 2)') ).

fof('qu(cond(axiom(53), 0), imp(cond(axiom(53), 0)))',axiom,
    ! [X146,X147] :
      ( ( X146 != X147
        & ? [X148] :
            ( X147 = X148
            & rpoint(X148) )
        & ? [X149] :
            ( X146 = X149
            & rpoint(X149) ) )
     => ? [X150] :
          ( ron(X147,X150)
          & rcenter(X146,X150)
          & rcircle(X150) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.jmGRDzjBU1/E---3.1_30669.p','qu(cond(axiom(53), 0), imp(cond(axiom(53), 0)))') ).

fof('qu(cond(axiom(186), 0), imp(cond(axiom(186), 0)))',axiom,
    ! [X97,X98,X99,X100] :
      ( ( ron(X98,X100)
        & rcenter(X99,X100)
        & ? [X101] :
            ( X98 = X101
            & rpoint(X101) )
        & ? [X102] :
            ( X97 = X102
            & rpoint(X102) ) )
     => ( rless(vf(X99,X97),vf(X99,X98))
      <=> rinside(X97,X100) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.jmGRDzjBU1/E---3.1_30669.p','qu(cond(axiom(186), 0), imp(cond(axiom(186), 0)))') ).

fof('qu(cond(axiom(77), 0), imp(cond(axiom(77), 0)))',axiom,
    ! [X205,X206] :
      ( rcenter(X205,X206)
     => rinside(X205,X206) ),
    file('/export/starexec/sandbox2/tmp/tmp.jmGRDzjBU1/E---3.1_30669.p','qu(cond(axiom(77), 0), imp(cond(axiom(77), 0)))') ).

fof('qu(cond(axiom(139), 0), imp(cond(axiom(139), 0)))',axiom,
    ! [X240,X241,X242,X243] :
      ( ( X242 = X243
        & rreal(X243)
        & X240 = X241
        & rreal(X241) )
     => ? [X244] :
          ( vplus(X240,X242) = X244
          & rreal(X244) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.jmGRDzjBU1/E---3.1_30669.p','qu(cond(axiom(139), 0), imp(cond(axiom(139), 0)))') ).

fof('qu(cond(axiom(91), 0), imp(cond(axiom(91), 0)))',axiom,
    ! [X187,X188,X189,X190,X191] :
      ( ( X190 = X191
        & ron(X189,X190)
        & ron(X188,X190)
        & ron(X187,X190)
        & rline(X191)
        & X188 != X189
        & X187 != X189
        & X187 != X188
        & ? [X192] :
            ( X189 = X192
            & rpoint(X192) )
        & ? [X193] :
            ( X188 = X193
            & rpoint(X193) )
        & ? [X194] :
            ( X187 = X194
            & rpoint(X194) ) )
     => ( rR(X188,X187,X189)
        | rR(X187,X188,X189)
        | rR(X189,X187,X188) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.jmGRDzjBU1/E---3.1_30669.p','qu(cond(axiom(91), 0), imp(cond(axiom(91), 0)))') ).

fof('qu(cond(axiom(85), 0), imp(cond(axiom(85), 0)))',axiom,
    ! [X10,X11,X12,X13,X14] :
      ( ( X13 = X14
        & ron(X12,X13)
        & ron(X10,X13)
        & rR(X11,X10,X12)
        & rline(X14)
        & ? [X15] :
            ( X12 = X15
            & rpoint(X15) )
        & ? [X16] :
            ( X11 = X16
            & rpoint(X16) )
        & ? [X17] :
            ( X10 = X17
            & rpoint(X17) ) )
     => ron(X11,X13) ),
    file('/export/starexec/sandbox2/tmp/tmp.jmGRDzjBU1/E---3.1_30669.p','qu(cond(axiom(85), 0), imp(cond(axiom(85), 0)))') ).

fof('qu(cond(axiom(162), 0), imp(cond(axiom(162), 0)))',axiom,
    ! [X109,X110] :
      ( ( ? [X111] :
            ( X110 = X111
            & rpoint(X111) )
        & ? [X112] :
            ( X109 = X112
            & rpoint(X112) ) )
     => ( vf(X109,X110) = v0
      <=> X109 = X110 ) ),
    file('/export/starexec/sandbox2/tmp/tmp.jmGRDzjBU1/E---3.1_30669.p','qu(cond(axiom(162), 0), imp(cond(axiom(162), 0)))') ).

fof('qu(cond(axiom(89), 0), imp(cond(axiom(89), 0)))',axiom,
    ! [X77,X78,X79,X80] :
      ( ( rR(X79,X78,X80)
        & rR(X78,X77,X79)
        & ? [X81] :
            ( X80 = X81
            & rpoint(X81) )
        & ? [X82] :
            ( X79 = X82
            & rpoint(X82) )
        & ? [X83] :
            ( X78 = X83
            & rpoint(X83) )
        & ? [X84] :
            ( X77 = X84
            & rpoint(X84) ) )
     => rR(X78,X77,X80) ),
    file('/export/starexec/sandbox2/tmp/tmp.jmGRDzjBU1/E---3.1_30669.p','qu(cond(axiom(89), 0), imp(cond(axiom(89), 0)))') ).

fof('pred(s2(plural(346)), 0)',axiom,
    ron(vd1288,vd1295),
    file('/export/starexec/sandbox2/tmp/tmp.jmGRDzjBU1/E---3.1_30669.p','pred(s2(plural(346)), 0)') ).

fof('pred(346, 0)',axiom,
    rline(vd1295),
    file('/export/starexec/sandbox2/tmp/tmp.jmGRDzjBU1/E---3.1_30669.p','pred(346, 0)') ).

fof('pred(conjunct1(368), 0)',axiom,
    ron(vd1329,vd1295),
    file('/export/starexec/sandbox2/tmp/tmp.jmGRDzjBU1/E---3.1_30669.p','pred(conjunct1(368), 0)') ).

fof('pred(s1(plural(346)), 0)',axiom,
    ron(vd1287,vd1295),
    file('/export/starexec/sandbox2/tmp/tmp.jmGRDzjBU1/E---3.1_30669.p','pred(s1(plural(346)), 0)') ).

fof(c_0_31,plain,
    ! [X866,X867,X868,X869] :
      ( ( vf(X866,X867) = esk8_2(X866,X867)
        | X867 != X868
        | ~ rpoint(X868)
        | X866 != X869
        | ~ rpoint(X869) )
      & ( rreal(esk8_2(X866,X867))
        | X867 != X868
        | ~ rpoint(X868)
        | X866 != X869
        | ~ rpoint(X869) ) ),
    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)))'])])])])]) ).

fof(c_0_32,plain,
    ! [X1015,X1016,X1017,X1018,X1019,X1020] :
      ( ~ rR(X1016,X1015,X1017)
      | X1017 != X1018
      | ~ rpoint(X1018)
      | X1016 != X1019
      | ~ rpoint(X1019)
      | X1015 != X1020
      | ~ rpoint(X1020)
      | vplus(vf(X1015,X1016),vf(X1016,X1017)) = vf(X1015,X1017) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(180), 0), imp(cond(axiom(180), 0)))'])])]) ).

fof(c_0_33,plain,
    ! [X862,X863,X864,X865] :
      ( X863 != X864
      | ~ rpoint(X864)
      | X862 != X865
      | ~ rpoint(X865)
      | vf(X862,X863) = vf(X863,X862) ),
    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)))'])])]) ).

fof(c_0_34,plain,
    ! [X989,X990,X991,X992] :
      ( X991 != X992
      | ~ rreal(X992)
      | X989 != X990
      | ~ rreal(X990)
      | vplus(X989,X991) = vplus(X991,X989) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(143), 0), imp(cond(axiom(143), 0)))'])]) ).

cnf(c_0_35,plain,
    ( rreal(esk8_2(X1,X2))
    | X2 != X3
    | ~ rpoint(X3)
    | X1 != X4
    | ~ rpoint(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

cnf(c_0_36,plain,
    ( vf(X1,X2) = esk8_2(X1,X2)
    | X2 != X3
    | ~ rpoint(X3)
    | X1 != X4
    | ~ rpoint(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

cnf(c_0_37,plain,
    ( vplus(vf(X2,X1),vf(X1,X3)) = vf(X2,X3)
    | ~ rR(X1,X2,X3)
    | X3 != X4
    | ~ rpoint(X4)
    | X1 != X5
    | ~ rpoint(X5)
    | X2 != X6
    | ~ rpoint(X6) ),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

cnf(c_0_38,plain,
    ( vf(X3,X1) = vf(X1,X3)
    | X1 != X2
    | ~ rpoint(X2)
    | X3 != X4
    | ~ rpoint(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

fof(c_0_39,plain,
    ( vf(vd1287,vd1288) = vf(vd1287,vd1289)
    & vd1288 != vd1289
    & vd1287 != vd1289
    & vd1287 != vd1288
    & vd1289 = esk1_0
    & rpoint(esk1_0)
    & vd1288 = esk2_0
    & rpoint(esk2_0)
    & vd1287 = esk3_0
    & rpoint(esk3_0) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],['and(holds(conjunct2(345), 1294, 0), and(pred(conjunct1(345), 9), and(pred(conjunct1(345), 8), and(pred(conjunct1(345), 7), and(qe(s3(plural(345))), and(qe(s2(plural(345))), qe(s1(plural(345)))))))))'])]) ).

cnf(c_0_40,plain,
    ( vplus(X3,X1) = vplus(X1,X3)
    | X1 != X2
    | ~ rreal(X2)
    | X3 != X4
    | ~ rreal(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_41,plain,
    ( rreal(esk8_2(X1,X2))
    | ~ rpoint(X1)
    | ~ rpoint(X2) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_35])]) ).

cnf(c_0_42,plain,
    ( esk8_2(X1,X2) = vf(X1,X2)
    | ~ rpoint(X1)
    | ~ rpoint(X2) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_36])]) ).

cnf(c_0_43,plain,
    ( vplus(vf(X1,X2),vf(X2,X3)) = vf(X1,X3)
    | ~ rpoint(X1)
    | ~ rpoint(X2)
    | ~ rpoint(X3)
    | ~ rR(X2,X1,X3) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_37])])]) ).

cnf(c_0_44,plain,
    ( vf(X1,X2) = vf(X2,X1)
    | ~ rpoint(X2)
    | ~ rpoint(X1) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_38])]) ).

cnf(c_0_45,plain,
    rpoint(esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_39]) ).

cnf(c_0_46,plain,
    vd1288 = esk2_0,
    inference(split_conjunct,[status(thm)],[c_0_39]) ).

cnf(c_0_47,plain,
    rpoint(esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_39]) ).

cnf(c_0_48,plain,
    vd1287 = esk3_0,
    inference(split_conjunct,[status(thm)],[c_0_39]) ).

fof(c_0_49,plain,
    ! [X1,X2,X3] :
      ( ( rR(X2,X1,X3)
        & ? [X4] :
            ( X3 = X4
            & rpoint(X4) )
        & ? [X5] :
            ( X2 = X5
            & rpoint(X5) )
        & ? [X6] :
            ( X1 = X6
            & rpoint(X6) ) )
     => ( ~ rR(X1,X2,X3)
        & X1 != X3
        & X1 != X2
        & rR(X2,X3,X1) ) ),
    inference(fof_simplification,[status(thm)],['qu(cond(axiom(81), 0), imp(cond(axiom(81), 0)))']) ).

fof(c_0_50,plain,
    ! [X979,X980,X981,X982,X983,X984] :
      ( vplus(X979,X983) != vplus(X981,X983)
      | X983 != X984
      | ~ rreal(X984)
      | X981 != X982
      | ~ rreal(X982)
      | X979 != X980
      | ~ rreal(X980)
      | X979 = X981 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(156, 0), 0)'])]) ).

cnf(c_0_51,plain,
    ( vplus(X1,X2) = vplus(X2,X1)
    | ~ rreal(X2)
    | ~ rreal(X1) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_40])]) ).

cnf(c_0_52,plain,
    ( rreal(vf(X1,X2))
    | ~ rpoint(X1)
    | ~ rpoint(X2) ),
    inference(spm,[status(thm)],[c_0_41,c_0_42]) ).

cnf(c_0_53,plain,
    ( vplus(vf(X1,X2),vf(X3,X2)) = vf(X1,X3)
    | ~ rpoint(X1)
    | ~ rpoint(X2)
    | ~ rpoint(X3)
    | ~ rR(X2,X1,X3) ),
    inference(spm,[status(thm)],[c_0_43,c_0_44]) ).

cnf(c_0_54,plain,
    vf(vd1287,vd1288) = vf(vd1287,vd1289),
    inference(split_conjunct,[status(thm)],[c_0_39]) ).

cnf(c_0_55,plain,
    rpoint(vd1288),
    inference(rw,[status(thm)],[c_0_45,c_0_46]) ).

cnf(c_0_56,plain,
    rpoint(vd1287),
    inference(rw,[status(thm)],[c_0_47,c_0_48]) ).

fof(c_0_57,plain,
    ! [X761,X762,X763,X764,X765,X766] :
      ( ( ~ rR(X761,X762,X763)
        | ~ rR(X762,X761,X763)
        | X763 != X764
        | ~ rpoint(X764)
        | X762 != X765
        | ~ rpoint(X765)
        | X761 != X766
        | ~ rpoint(X766) )
      & ( X761 != X763
        | ~ rR(X762,X761,X763)
        | X763 != X764
        | ~ rpoint(X764)
        | X762 != X765
        | ~ rpoint(X765)
        | X761 != X766
        | ~ rpoint(X766) )
      & ( X761 != X762
        | ~ rR(X762,X761,X763)
        | X763 != X764
        | ~ rpoint(X764)
        | X762 != X765
        | ~ rpoint(X765)
        | X761 != X766
        | ~ rpoint(X766) )
      & ( rR(X762,X763,X761)
        | ~ rR(X762,X761,X763)
        | X763 != X764
        | ~ rpoint(X764)
        | X762 != X765
        | ~ rpoint(X765)
        | X761 != X766
        | ~ rpoint(X766) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_49])])])]) ).

cnf(c_0_58,plain,
    ( X1 = X3
    | vplus(X1,X2) != vplus(X3,X2)
    | X2 != X4
    | ~ rreal(X4)
    | X3 != X5
    | ~ rreal(X5)
    | X1 != X6
    | ~ rreal(X6) ),
    inference(split_conjunct,[status(thm)],[c_0_50]) ).

cnf(c_0_59,plain,
    ( vplus(vf(X1,X2),vf(X3,X1)) = vf(X3,X2)
    | ~ rpoint(X3)
    | ~ rpoint(X1)
    | ~ rpoint(X2)
    | ~ rR(X1,X3,X2) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_43]),c_0_52]),c_0_52]) ).

cnf(c_0_60,plain,
    ( vplus(vf(X1,vd1288),vf(vd1287,vd1289)) = vf(X1,vd1287)
    | ~ rpoint(X1)
    | ~ rR(vd1288,X1,vd1287) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_55]),c_0_56])]) ).

cnf(c_0_61,plain,
    ( rR(X1,X2,X3)
    | ~ rR(X1,X3,X2)
    | X2 != X4
    | ~ rpoint(X4)
    | X1 != X5
    | ~ rpoint(X5)
    | X3 != X6
    | ~ rpoint(X6) ),
    inference(split_conjunct,[status(thm)],[c_0_57]) ).

cnf(c_0_62,plain,
    rpoint(vd1300),
    inference(split_conjunct,[status(thm)],['pred(348, 1)']) ).

cnf(c_0_63,plain,
    vd1299 = vd1300,
    inference(split_conjunct,[status(thm)],['pred(348, 4)']) ).

fof(c_0_64,plain,
    ! [X1236,X1237,X1238,X1239,X1240,X1241,X1242,X1243] :
      ( ~ rR(X1239,X1236,X1237)
      | ~ rR(X1237,X1236,X1238)
      | X1239 != X1240
      | ~ rpoint(X1240)
      | X1238 != X1241
      | ~ rpoint(X1241)
      | X1237 != X1242
      | ~ rpoint(X1242)
      | X1236 != X1243
      | ~ rpoint(X1243)
      | rR(X1239,X1236,X1238) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(87), 0), imp(cond(axiom(87), 0)))'])])]) ).

fof(c_0_65,negated_conjecture,
    vd1329 = vd1302,
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],['holds(conjunct1(conjunct2(conjunct2(368))), 1333, 0)'])]) ).

cnf(c_0_66,plain,
    ( X1 = X2
    | vplus(X1,X3) != vplus(X2,X3)
    | ~ rreal(X1)
    | ~ rreal(X2)
    | ~ rreal(X3) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_58])])]) ).

cnf(c_0_67,plain,
    ( vplus(vf(vd1288,X1),vf(vd1287,vd1289)) = vf(vd1287,X1)
    | ~ rpoint(X1)
    | ~ rR(vd1288,vd1287,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_54]),c_0_56]),c_0_55])]) ).

cnf(c_0_68,plain,
    ( vplus(vf(vd1288,X1),vf(vd1287,vd1289)) = vf(X1,vd1287)
    | ~ rpoint(X1)
    | ~ rR(vd1288,X1,vd1287) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_44]),c_0_55])]) ).

cnf(c_0_69,plain,
    ( rR(X1,X2,X3)
    | ~ rpoint(X3)
    | ~ rpoint(X1)
    | ~ rpoint(X2)
    | ~ rR(X1,X3,X2) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_61])])]) ).

cnf(c_0_70,plain,
    rR(vd1288,vd1287,vd1299),
    inference(split_conjunct,[status(thm)],['and(pred(conjunct2(348), 4), and(holds(conjunct2(348), 1304, 0), and(pred(conjunct2(348), 1), holds(conjunct1(348), 1301, 0))))']) ).

cnf(c_0_71,plain,
    rpoint(vd1299),
    inference(rw,[status(thm)],[c_0_62,c_0_63]) ).

cnf(c_0_72,plain,
    ( rR(X1,X2,X4)
    | ~ rR(X1,X2,X3)
    | ~ rR(X3,X2,X4)
    | X1 != X5
    | ~ rpoint(X5)
    | X4 != X6
    | ~ rpoint(X6)
    | X3 != X7
    | ~ rpoint(X7)
    | X2 != X8
    | ~ rpoint(X8) ),
    inference(split_conjunct,[status(thm)],[c_0_64]) ).

cnf(c_0_73,plain,
    rR(vd1329,vd1287,vd1299),
    inference(split_conjunct,[status(thm)],['holds(conjunct1(367), 1330, 0)']) ).

cnf(c_0_74,negated_conjecture,
    vd1329 = vd1302,
    inference(split_conjunct,[status(thm)],[c_0_65]) ).

cnf(c_0_75,plain,
    rpoint(vd1329),
    inference(split_conjunct,[status(thm)],['pred(367, 0)']) ).

fof(c_0_76,plain,
    ! [X69,X70] :
      ( ( X69 = X70
        & rreal(X70) )
     => ~ rless(X69,X69) ),
    inference(fof_simplification,[status(thm)],['qu(cond(axiom(149), 0), imp(cond(axiom(149), 0)))']) ).

fof(c_0_77,plain,
    ! [X1040,X1041,X1042,X1043,X1044,X1045] :
      ( ~ rless(X1040,X1042)
      | X1044 != X1045
      | ~ rreal(X1045)
      | X1042 != X1043
      | ~ rreal(X1043)
      | X1040 != X1041
      | ~ rreal(X1041)
      | rless(vplus(X1040,X1044),vplus(X1042,X1044)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(153), 0), imp(cond(axiom(153), 0)))'])]) ).

fof(c_0_78,plain,
    ! [X993,X994] :
      ( X993 != X994
      | ~ rreal(X994)
      | vplus(X993,v0) = X993 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(141), 0), imp(cond(axiom(141), 0)))'])]) ).

cnf(c_0_79,plain,
    ( X1 = vf(X2,X3)
    | vplus(X1,vf(X3,X4)) != vf(X2,X4)
    | ~ rreal(X1)
    | ~ rpoint(X2)
    | ~ rpoint(X3)
    | ~ rpoint(X4)
    | ~ rR(X3,X2,X4) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_43]),c_0_52]),c_0_52]) ).

cnf(c_0_80,plain,
    ( vplus(vf(X1,X2),vf(X1,X3)) = vf(X2,X3)
    | ~ rpoint(X2)
    | ~ rpoint(X1)
    | ~ rpoint(X3)
    | ~ rR(X1,X2,X3) ),
    inference(spm,[status(thm)],[c_0_43,c_0_44]) ).

cnf(c_0_81,plain,
    ( vf(X1,vd1287) = vf(vd1287,X1)
    | ~ rpoint(X1)
    | ~ rR(vd1288,vd1287,X1)
    | ~ rR(vd1288,X1,vd1287) ),
    inference(spm,[status(thm)],[c_0_67,c_0_68]) ).

cnf(c_0_82,plain,
    rR(vd1288,vd1299,vd1287),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_56]),c_0_55]),c_0_71])]) ).

cnf(c_0_83,plain,
    ( rR(X1,X2,X3)
    | ~ rpoint(X2)
    | ~ rpoint(X4)
    | ~ rpoint(X3)
    | ~ rpoint(X1)
    | ~ rR(X4,X2,X3)
    | ~ rR(X1,X2,X4) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_72])])])]) ).

cnf(c_0_84,plain,
    rR(vd1302,vd1287,vd1299),
    inference(rw,[status(thm)],[c_0_73,c_0_74]) ).

cnf(c_0_85,plain,
    rpoint(vd1302),
    inference(rw,[status(thm)],[c_0_75,c_0_74]) ).

cnf(c_0_86,plain,
    rpoint(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_39]) ).

cnf(c_0_87,plain,
    vd1289 = esk1_0,
    inference(split_conjunct,[status(thm)],[c_0_39]) ).

fof(c_0_88,plain,
    ! [X871,X872] :
      ( X871 != X872
      | ~ rreal(X872)
      | ~ rless(X871,X871) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_76])]) ).

cnf(c_0_89,plain,
    ( rless(vplus(X1,X3),vplus(X2,X3))
    | ~ rless(X1,X2)
    | X3 != X4
    | ~ rreal(X4)
    | X2 != X5
    | ~ rreal(X5)
    | X1 != X6
    | ~ rreal(X6) ),
    inference(split_conjunct,[status(thm)],[c_0_77]) ).

cnf(c_0_90,plain,
    ( vplus(X1,v0) = X1
    | X1 != X2
    | ~ rreal(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_78]) ).

cnf(c_0_91,plain,
    rreal(vd684),
    inference(split_conjunct,[status(thm)],['pred(axiom(137), 1)']) ).

cnf(c_0_92,plain,
    v0 = vd684,
    inference(split_conjunct,[status(thm)],['pred(axiom(137), 2)']) ).

fof(c_0_93,plain,
    ! [X948,X949,X950,X951] :
      ( ( ron(X949,esk12_2(X948,X949))
        | X948 = X949
        | X949 != X950
        | ~ rpoint(X950)
        | X948 != X951
        | ~ rpoint(X951) )
      & ( rcenter(X948,esk12_2(X948,X949))
        | X948 = X949
        | X949 != X950
        | ~ rpoint(X950)
        | X948 != X951
        | ~ rpoint(X951) )
      & ( rcircle(esk12_2(X948,X949))
        | X948 = X949
        | X949 != X950
        | ~ rpoint(X950)
        | X948 != X951
        | ~ rpoint(X951) ) ),
    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)))'])])])])]) ).

cnf(c_0_94,plain,
    ( vf(X1,X2) = vf(X3,X1)
    | vf(X2,X4) != vf(X3,X4)
    | ~ rpoint(X3)
    | ~ rpoint(X1)
    | ~ rpoint(X4)
    | ~ rpoint(X2)
    | ~ rR(X1,X3,X4)
    | ~ rR(X1,X2,X4) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_80]),c_0_52]) ).

cnf(c_0_95,plain,
    vf(vd1299,vd1287) = vf(vd1287,vd1299),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_70]),c_0_71]),c_0_82])]) ).

cnf(c_0_96,plain,
    ( rR(X1,vd1287,vd1299)
    | ~ rpoint(X1)
    | ~ rR(X1,vd1287,vd1302) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_84]),c_0_56]),c_0_85]),c_0_71])]) ).

cnf(c_0_97,plain,
    rR(vd1289,vd1287,vd1302),
    inference(split_conjunct,[status(thm)],['and(pred(conjunct2(348), 4), and(holds(conjunct2(348), 1304, 0), and(pred(conjunct2(348), 1), holds(conjunct1(348), 1301, 0))))']) ).

cnf(c_0_98,plain,
    rpoint(vd1289),
    inference(rw,[status(thm)],[c_0_86,c_0_87]) ).

cnf(c_0_99,plain,
    ( X1 != X2
    | ~ rreal(X2)
    | ~ rless(X1,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_88]) ).

cnf(c_0_100,plain,
    ( rless(vplus(X1,X2),vplus(X3,X2))
    | ~ rreal(X1)
    | ~ rreal(X3)
    | ~ rreal(X2)
    | ~ rless(X1,X3) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_89])])]) ).

cnf(c_0_101,plain,
    ( vplus(X1,v0) = X1
    | ~ rreal(X1) ),
    inference(er,[status(thm)],[c_0_90]) ).

cnf(c_0_102,plain,
    rreal(v0),
    inference(rw,[status(thm)],[c_0_91,c_0_92]) ).

fof(c_0_103,plain,
    ! [X899,X900,X901,X902,X903,X904] :
      ( ( ~ rless(vf(X901,X899),vf(X901,X900))
        | rinside(X899,X902)
        | ~ ron(X900,X902)
        | ~ rcenter(X901,X902)
        | X900 != X903
        | ~ rpoint(X903)
        | X899 != X904
        | ~ rpoint(X904) )
      & ( ~ rinside(X899,X902)
        | rless(vf(X901,X899),vf(X901,X900))
        | ~ ron(X900,X902)
        | ~ rcenter(X901,X902)
        | X900 != X903
        | ~ rpoint(X903)
        | X899 != X904
        | ~ rpoint(X904) ) ),
    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)))'])])])]) ).

fof(c_0_104,plain,
    ! [X1021,X1022] :
      ( ~ rcenter(X1021,X1022)
      | rinside(X1021,X1022) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(77), 0), imp(cond(axiom(77), 0)))'])]) ).

cnf(c_0_105,plain,
    ( rcenter(X1,esk12_2(X1,X2))
    | X1 = X2
    | X2 != X3
    | ~ rpoint(X3)
    | X1 != X4
    | ~ rpoint(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_93]) ).

cnf(c_0_106,plain,
    ( X1 = X2
    | vplus(X1,X3) != vplus(X3,X2)
    | ~ rreal(X1)
    | ~ rreal(X2)
    | ~ rreal(X3) ),
    inference(spm,[status(thm)],[c_0_66,c_0_51]) ).

cnf(c_0_107,plain,
    ( vf(vd1288,X1) = vf(vd1299,vd1288)
    | vf(X1,vd1287) != vf(vd1287,vd1299)
    | ~ rpoint(X1)
    | ~ rR(vd1288,X1,vd1287) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_82]),c_0_95]),c_0_71]),c_0_55]),c_0_56])]) ).

cnf(c_0_108,plain,
    rR(vd1289,vd1287,vd1299),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_97]),c_0_98])]) ).

cnf(c_0_109,plain,
    ( ~ rreal(X1)
    | ~ rless(X1,X1) ),
    inference(er,[status(thm)],[c_0_99]) ).

cnf(c_0_110,plain,
    ( rless(X1,vplus(X2,v0))
    | ~ rreal(X1)
    | ~ rreal(X2)
    | ~ rless(X1,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_101]),c_0_102])]) ).

cnf(c_0_111,plain,
    ( rless(vf(X3,X1),vf(X3,X4))
    | ~ rinside(X1,X2)
    | ~ ron(X4,X2)
    | ~ rcenter(X3,X2)
    | X4 != X5
    | ~ rpoint(X5)
    | X1 != X6
    | ~ rpoint(X6) ),
    inference(split_conjunct,[status(thm)],[c_0_103]) ).

cnf(c_0_112,plain,
    ( rinside(X1,X2)
    | ~ rcenter(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_104]) ).

cnf(c_0_113,plain,
    ( X1 = X2
    | rcenter(X1,esk12_2(X1,X2))
    | ~ rpoint(X1)
    | ~ rpoint(X2) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_105])]) ).

cnf(c_0_114,plain,
    ( X1 = X2
    | vplus(X3,X1) != vplus(X3,X2)
    | ~ rreal(X1)
    | ~ rreal(X2)
    | ~ rreal(X3) ),
    inference(spm,[status(thm)],[c_0_106,c_0_51]) ).

cnf(c_0_115,plain,
    ( vplus(vf(vd1287,vd1289),vf(vd1288,X1)) = vf(vd1287,X1)
    | ~ rpoint(X1)
    | ~ rR(vd1288,vd1287,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_54]),c_0_56]),c_0_55])]) ).

cnf(c_0_116,plain,
    vf(vd1288,vd1299) = vf(vd1299,vd1288),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_82]),c_0_95]),c_0_71])]) ).

cnf(c_0_117,plain,
    rR(vd1289,vd1299,vd1287),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_108]),c_0_56]),c_0_98]),c_0_71])]) ).

fof(c_0_118,plain,
    ! [X1056,X1057,X1058,X1059] :
      ( ( vplus(X1056,X1058) = esk14_3(X1056,X1057,X1058)
        | X1058 != X1059
        | ~ rreal(X1059)
        | X1056 != X1057
        | ~ rreal(X1057) )
      & ( rreal(esk14_3(X1056,X1057,X1058))
        | X1058 != X1059
        | ~ rreal(X1059)
        | X1056 != X1057
        | ~ rreal(X1057) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(139), 0), imp(cond(axiom(139), 0)))'])])])])])]) ).

cnf(c_0_119,plain,
    ( ~ rreal(vplus(X1,v0))
    | ~ rreal(X1)
    | ~ rless(vplus(X1,v0),X1) ),
    inference(spm,[status(thm)],[c_0_109,c_0_110]) ).

cnf(c_0_120,plain,
    ( rless(vplus(X1,X2),vplus(X2,X3))
    | ~ rreal(X1)
    | ~ rreal(X3)
    | ~ rreal(X2)
    | ~ rless(X1,X3) ),
    inference(spm,[status(thm)],[c_0_100,c_0_51]) ).

cnf(c_0_121,plain,
    rreal(vf(vd1287,vd1289)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_54]),c_0_56]),c_0_55])]) ).

cnf(c_0_122,plain,
    ( rless(vf(X1,X2),vf(X1,X3))
    | ~ rinside(X2,X4)
    | ~ rcenter(X1,X4)
    | ~ rpoint(X2)
    | ~ rpoint(X3)
    | ~ ron(X3,X4) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_111])]) ).

cnf(c_0_123,plain,
    ( X1 = X2
    | rinside(X1,esk12_2(X1,X2))
    | ~ rpoint(X1)
    | ~ rpoint(X2) ),
    inference(spm,[status(thm)],[c_0_112,c_0_113]) ).

cnf(c_0_124,plain,
    ( X1 = vf(X2,X3)
    | vplus(vf(X4,X2),X1) != vf(X4,X3)
    | ~ rreal(X1)
    | ~ rpoint(X4)
    | ~ rpoint(X2)
    | ~ rpoint(X3)
    | ~ rR(X2,X4,X3) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_43]),c_0_52]),c_0_52]) ).

cnf(c_0_125,plain,
    vplus(vf(vd1287,vd1289),vf(vd1299,vd1288)) = vf(vd1287,vd1299),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_116]),c_0_71]),c_0_70])]) ).

cnf(c_0_126,plain,
    rreal(vf(vd1299,vd1288)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_116]),c_0_55]),c_0_71])]) ).

cnf(c_0_127,plain,
    ( vf(vd1289,X1) = vf(vd1299,vd1289)
    | vf(X1,vd1287) != vf(vd1287,vd1299)
    | ~ rpoint(X1)
    | ~ rR(vd1289,X1,vd1287) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_117]),c_0_95]),c_0_71]),c_0_98]),c_0_56])]) ).

cnf(c_0_128,plain,
    ( rreal(esk14_3(X1,X2,X3))
    | X3 != X4
    | ~ rreal(X4)
    | X1 != X2
    | ~ rreal(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_118]) ).

cnf(c_0_129,plain,
    ( vplus(X1,X2) = esk14_3(X1,X3,X2)
    | X2 != X4
    | ~ rreal(X4)
    | X1 != X3
    | ~ rreal(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_118]) ).

cnf(c_0_130,plain,
    ( vf(vd1289,X1) = vf(vd1287,vd1289)
    | vf(X1,vd1302) != vf(vd1287,vd1302)
    | ~ rpoint(X1)
    | ~ rR(vd1289,X1,vd1302) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_97]),c_0_56]),c_0_98]),c_0_85])]) ).

fof(c_0_131,plain,
    ! [X995,X996,X997,X998,X999,X1000,X1001,X1002] :
      ( X998 != X999
      | ~ ron(X997,X998)
      | ~ ron(X996,X998)
      | ~ ron(X995,X998)
      | ~ rline(X999)
      | X996 = X997
      | X995 = X997
      | X995 = X996
      | X997 != X1000
      | ~ rpoint(X1000)
      | X996 != X1001
      | ~ rpoint(X1001)
      | X995 != X1002
      | ~ rpoint(X1002)
      | rR(X996,X995,X997)
      | rR(X995,X996,X997)
      | rR(X997,X995,X996) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(91), 0), imp(cond(axiom(91), 0)))'])])]) ).

fof(c_0_132,plain,
    ! [X770,X771,X772,X773,X774,X775,X776,X777] :
      ( X773 != X774
      | ~ ron(X772,X773)
      | ~ ron(X770,X773)
      | ~ rR(X771,X770,X772)
      | ~ rline(X774)
      | X772 != X775
      | ~ rpoint(X775)
      | X771 != X776
      | ~ rpoint(X776)
      | X770 != X777
      | ~ rpoint(X777)
      | ron(X771,X773) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(85), 0), imp(cond(axiom(85), 0)))'])])]) ).

cnf(c_0_133,plain,
    ( ~ rreal(vplus(v0,X1))
    | ~ rreal(X1)
    | ~ rless(vplus(v0,X1),X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_51]),c_0_102])]) ).

cnf(c_0_134,plain,
    ( rless(vplus(X1,vf(vd1287,vd1289)),vf(vd1287,X2))
    | ~ rreal(vf(vd1288,X2))
    | ~ rreal(X1)
    | ~ rless(X1,vf(vd1288,X2))
    | ~ rpoint(X2)
    | ~ rR(vd1288,vd1287,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_115]),c_0_121])]) ).

cnf(c_0_135,plain,
    ( X1 = X2
    | rless(vf(X3,X1),vf(X3,X4))
    | ~ rcenter(X3,esk12_2(X1,X2))
    | ~ rpoint(X1)
    | ~ rpoint(X4)
    | ~ rpoint(X2)
    | ~ ron(X4,esk12_2(X1,X2)) ),
    inference(spm,[status(thm)],[c_0_122,c_0_123]) ).

cnf(c_0_136,plain,
    ( ron(X1,esk12_2(X2,X1))
    | X2 = X1
    | X1 != X3
    | ~ rpoint(X3)
    | X2 != X4
    | ~ rpoint(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_93]) ).

fof(c_0_137,plain,
    ! [X911,X912,X913,X914] :
      ( ( vf(X911,X912) != v0
        | X911 = X912
        | X912 != X913
        | ~ rpoint(X913)
        | X911 != X914
        | ~ rpoint(X914) )
      & ( X911 != X912
        | vf(X911,X912) = v0
        | X912 != X913
        | ~ rpoint(X913)
        | X911 != X914
        | ~ rpoint(X914) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(162), 0), imp(cond(axiom(162), 0)))'])])])]) ).

cnf(c_0_138,plain,
    ( vf(vd1289,X1) = vf(vd1299,vd1288)
    | vf(vd1287,vd1299) != vf(vd1287,X1)
    | ~ rpoint(X1)
    | ~ rR(vd1289,vd1287,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_125]),c_0_126]),c_0_56]),c_0_98])]) ).

cnf(c_0_139,plain,
    vf(vd1289,vd1299) = vf(vd1299,vd1289),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_117]),c_0_95]),c_0_71])]) ).

cnf(c_0_140,plain,
    ( rreal(esk14_3(X1,X1,X2))
    | ~ rreal(X2)
    | ~ rreal(X1) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_128])]) ).

cnf(c_0_141,plain,
    ( esk14_3(X1,X1,X2) = vplus(X1,X2)
    | ~ rreal(X2)
    | ~ rreal(X1) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_129])]) ).

cnf(c_0_142,plain,
    ( vplus(vf(X1,X2),vf(X3,X1)) = vf(X2,X3)
    | ~ rpoint(X2)
    | ~ rpoint(X1)
    | ~ rpoint(X3)
    | ~ rR(X1,X2,X3) ),
    inference(spm,[status(thm)],[c_0_53,c_0_44]) ).

cnf(c_0_143,plain,
    vf(vd1289,vd1287) = vf(vd1287,vd1289),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_97]),c_0_56])]) ).

cnf(c_0_144,plain,
    ( X4 = X3
    | X5 = X3
    | X5 = X4
    | rR(X4,X5,X3)
    | rR(X5,X4,X3)
    | rR(X3,X5,X4)
    | X1 != X2
    | ~ ron(X3,X1)
    | ~ ron(X4,X1)
    | ~ ron(X5,X1)
    | ~ rline(X2)
    | X3 != X6
    | ~ rpoint(X6)
    | X4 != X7
    | ~ rpoint(X7)
    | X5 != X8
    | ~ rpoint(X8) ),
    inference(split_conjunct,[status(thm)],[c_0_131]) ).

cnf(c_0_145,plain,
    ( ron(X5,X1)
    | X1 != X2
    | ~ ron(X3,X1)
    | ~ ron(X4,X1)
    | ~ rR(X5,X4,X3)
    | ~ rline(X2)
    | X3 != X6
    | ~ rpoint(X6)
    | X5 != X7
    | ~ rpoint(X7)
    | X4 != X8
    | ~ rpoint(X8) ),
    inference(split_conjunct,[status(thm)],[c_0_132]) ).

cnf(c_0_146,plain,
    ( ~ rreal(vplus(v0,vf(vd1287,vd1289)))
    | ~ rreal(vf(vd1288,vd1289))
    | ~ rless(v0,vf(vd1288,vd1289))
    | ~ rR(vd1288,vd1287,vd1289) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_134]),c_0_121]),c_0_102]),c_0_98])]) ).

cnf(c_0_147,plain,
    ( vplus(v0,X1) = X1
    | ~ rreal(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_51]),c_0_102])]) ).

cnf(c_0_148,plain,
    ( X1 = X2
    | rless(vf(X1,X1),vf(X1,X3))
    | ~ rpoint(X1)
    | ~ rpoint(X3)
    | ~ rpoint(X2)
    | ~ ron(X3,esk12_2(X1,X2)) ),
    inference(spm,[status(thm)],[c_0_135,c_0_113]) ).

cnf(c_0_149,plain,
    ( X1 = X2
    | ron(X1,esk12_2(X2,X1))
    | ~ rpoint(X2)
    | ~ rpoint(X1) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_136])]) ).

cnf(c_0_150,plain,
    ( vf(X1,X2) = v0
    | X1 != X2
    | X2 != X3
    | ~ rpoint(X3)
    | X1 != X4
    | ~ rpoint(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_137]) ).

cnf(c_0_151,plain,
    vf(vd1299,vd1288) = vf(vd1299,vd1289),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_108]),c_0_139]),c_0_71])]) ).

cnf(c_0_152,plain,
    ( rreal(vplus(X1,X2))
    | ~ rreal(X2)
    | ~ rreal(X1) ),
    inference(spm,[status(thm)],[c_0_140,c_0_141]) ).

cnf(c_0_153,plain,
    ( vplus(vf(vd1287,X1),vf(vd1287,vd1289)) = vf(X1,vd1289)
    | ~ rpoint(X1)
    | ~ rR(vd1287,X1,vd1289) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_143]),c_0_56]),c_0_98])]) ).

fof(c_0_154,plain,
    ! [X879,X880,X881,X882,X883,X884,X885,X886] :
      ( ~ rR(X881,X880,X882)
      | ~ rR(X880,X879,X881)
      | X882 != X883
      | ~ rpoint(X883)
      | X881 != X884
      | ~ rpoint(X884)
      | X880 != X885
      | ~ rpoint(X885)
      | X879 != X886
      | ~ rpoint(X886)
      | rR(X880,X879,X882) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(89), 0), imp(cond(axiom(89), 0)))'])])]) ).

cnf(c_0_155,plain,
    ( X1 = X2
    | X3 = X2
    | X3 = X1
    | rR(X2,X1,X3)
    | rR(X1,X2,X3)
    | rR(X3,X2,X1)
    | ~ rline(X4)
    | ~ rpoint(X2)
    | ~ rpoint(X1)
    | ~ rpoint(X3)
    | ~ ron(X2,X4)
    | ~ ron(X1,X4)
    | ~ ron(X3,X4) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_144])])])]) ).

cnf(c_0_156,plain,
    ron(vd1288,vd1295),
    inference(split_conjunct,[status(thm)],['pred(s2(plural(346)), 0)']) ).

cnf(c_0_157,plain,
    rline(vd1295),
    inference(split_conjunct,[status(thm)],['pred(346, 0)']) ).

cnf(c_0_158,plain,
    ( ron(X1,X2)
    | ~ rline(X2)
    | ~ rpoint(X3)
    | ~ rpoint(X1)
    | ~ rpoint(X4)
    | ~ rR(X1,X3,X4)
    | ~ ron(X3,X2)
    | ~ ron(X4,X2) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_145])])])]) ).

cnf(c_0_159,plain,
    ron(vd1329,vd1295),
    inference(split_conjunct,[status(thm)],['pred(conjunct1(368), 0)']) ).

cnf(c_0_160,plain,
    ( ~ rreal(vf(vd1288,vd1289))
    | ~ rless(v0,vf(vd1288,vd1289))
    | ~ rR(vd1288,vd1287,vd1289) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_147]),c_0_121])]) ).

cnf(c_0_161,plain,
    ( X1 = X2
    | rless(vf(X1,X1),vf(X1,X2))
    | ~ rpoint(X1)
    | ~ rpoint(X2) ),
    inference(spm,[status(thm)],[c_0_148,c_0_149]) ).

cnf(c_0_162,plain,
    ( vf(X1,X1) = v0
    | ~ rpoint(X1) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_150])])]) ).

cnf(c_0_163,plain,
    ( X1 = v0
    | vplus(X1,X2) != X2
    | ~ rreal(X1)
    | ~ rreal(X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_147]),c_0_102])]) ).

cnf(c_0_164,plain,
    ( vplus(vf(vd1288,X1),vf(vd1299,vd1289)) = vf(vd1299,X1)
    | ~ rpoint(X1)
    | ~ rR(vd1288,vd1299,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_151]),c_0_71]),c_0_55])]) ).

cnf(c_0_165,plain,
    rreal(vf(vd1299,vd1289)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_139]),c_0_98]),c_0_71])]) ).

cnf(c_0_166,plain,
    ( rreal(vf(X1,vd1289))
    | ~ rreal(vf(vd1287,X1))
    | ~ rpoint(X1)
    | ~ rR(vd1287,X1,vd1289) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_153]),c_0_121])]) ).

cnf(c_0_167,plain,
    ( rR(X2,X4,X3)
    | ~ rR(X1,X2,X3)
    | ~ rR(X2,X4,X1)
    | X3 != X5
    | ~ rpoint(X5)
    | X1 != X6
    | ~ rpoint(X6)
    | X2 != X7
    | ~ rpoint(X7)
    | X4 != X8
    | ~ rpoint(X8) ),
    inference(split_conjunct,[status(thm)],[c_0_154]) ).

cnf(c_0_168,plain,
    ( X1 = vd1288
    | X2 = vd1288
    | X2 = X1
    | rR(vd1288,X1,X2)
    | rR(X1,vd1288,X2)
    | rR(X2,vd1288,X1)
    | ~ rpoint(X1)
    | ~ rpoint(X2)
    | ~ ron(X1,vd1295)
    | ~ ron(X2,vd1295) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_156]),c_0_157]),c_0_55])]) ).

cnf(c_0_169,plain,
    ron(vd1287,vd1295),
    inference(split_conjunct,[status(thm)],['pred(s1(plural(346)), 0)']) ).

cnf(c_0_170,plain,
    vd1287 != vd1288,
    inference(split_conjunct,[status(thm)],[c_0_39]) ).

cnf(c_0_171,plain,
    ( ron(vd1289,X1)
    | ~ rline(X1)
    | ~ ron(vd1287,X1)
    | ~ ron(vd1302,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_97]),c_0_56]),c_0_98]),c_0_85])]) ).

cnf(c_0_172,plain,
    ron(vd1302,vd1295),
    inference(rw,[status(thm)],[c_0_159,c_0_74]) ).

cnf(c_0_173,plain,
    ( ~ rless(v0,vf(vd1288,vd1289))
    | ~ rR(vd1288,vd1287,vd1289) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_52]),c_0_55]),c_0_98])]) ).

cnf(c_0_174,plain,
    ( X1 = X2
    | rless(v0,vf(X1,X2))
    | ~ rpoint(X1)
    | ~ rpoint(X2) ),
    inference(spm,[status(thm)],[c_0_161,c_0_162]) ).

cnf(c_0_175,plain,
    vd1288 != vd1289,
    inference(split_conjunct,[status(thm)],[c_0_39]) ).

cnf(c_0_176,plain,
    ( X1 = vf(X2,X3)
    | vplus(X1,vf(X4,X2)) != vf(X4,X3)
    | ~ rreal(X1)
    | ~ rpoint(X4)
    | ~ rpoint(X2)
    | ~ rpoint(X3)
    | ~ rR(X2,X4,X3) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_43]),c_0_52]),c_0_52]) ).

cnf(c_0_177,plain,
    ( vf(vd1288,X1) = v0
    | vf(vd1299,X1) != vf(vd1299,vd1289)
    | ~ rreal(vf(vd1288,X1))
    | ~ rpoint(X1)
    | ~ rR(vd1288,vd1299,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_164]),c_0_165])]) ).

cnf(c_0_178,plain,
    ( rreal(vf(X1,vd1289))
    | ~ rpoint(X1)
    | ~ rR(vd1287,X1,vd1289) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_52]),c_0_56])]) ).

cnf(c_0_179,plain,
    ( rR(X1,X2,X3)
    | ~ rpoint(X2)
    | ~ rpoint(X1)
    | ~ rpoint(X4)
    | ~ rpoint(X3)
    | ~ rR(X1,X2,X4)
    | ~ rR(X4,X1,X3) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_167])])])]) ).

cnf(c_0_180,plain,
    ( X1 = vd1287
    | X1 = vd1288
    | rR(X1,vd1288,vd1287)
    | rR(vd1287,vd1288,X1)
    | rR(vd1288,vd1287,X1)
    | ~ rpoint(X1)
    | ~ ron(X1,vd1295) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_169]),c_0_56])]),c_0_170]) ).

cnf(c_0_181,plain,
    ron(vd1289,vd1295),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_157]),c_0_169]),c_0_172])]) ).

cnf(c_0_182,plain,
    vd1287 != vd1289,
    inference(split_conjunct,[status(thm)],[c_0_39]) ).

cnf(c_0_183,plain,
    ~ rR(vd1288,vd1287,vd1289),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_174]),c_0_55]),c_0_98])]),c_0_175]) ).

cnf(c_0_184,plain,
    ( vf(vd1288,X1) = vf(vd1287,vd1289)
    | vf(vd1299,X1) != vf(vd1287,vd1299)
    | ~ rpoint(X1)
    | ~ rR(vd1288,vd1299,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_125]),c_0_121]),c_0_71]),c_0_55])]) ).

cnf(c_0_185,plain,
    ( vf(vd1288,vd1289) = v0
    | ~ rR(vd1288,vd1299,vd1289)
    | ~ rR(vd1287,vd1288,vd1289) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_178]),c_0_98]),c_0_55])]) ).

cnf(c_0_186,plain,
    ( rR(vd1288,vd1299,X1)
    | ~ rpoint(X1)
    | ~ rR(vd1287,vd1288,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_82]),c_0_71]),c_0_55]),c_0_56])]) ).

cnf(c_0_187,plain,
    ( X1 = X2
    | vf(X1,X2) != v0
    | X2 != X3
    | ~ rpoint(X3)
    | X1 != X4
    | ~ rpoint(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_137]) ).

cnf(c_0_188,plain,
    ( vf(X1,X2) = v0
    | vf(X1,X3) != vf(X2,X3)
    | ~ rpoint(X1)
    | ~ rpoint(X2)
    | ~ rpoint(X3)
    | ~ rR(X2,X1,X3) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_43]),c_0_52]),c_0_52]) ).

cnf(c_0_189,plain,
    ( rR(vd1287,vd1288,vd1289)
    | rR(vd1289,vd1288,vd1287) ),
    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_180,c_0_181]),c_0_98])]),c_0_182]),c_0_175]),c_0_183]) ).

cnf(c_0_190,plain,
    vf(vd1288,vd1287) = vf(vd1287,vd1289),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_82]),c_0_95]),c_0_56])]) ).

cnf(c_0_191,plain,
    ( vf(vd1288,vd1289) = v0
    | ~ rR(vd1287,vd1288,vd1289) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_186]),c_0_98])]) ).

cnf(c_0_192,plain,
    ( X1 = X2
    | vf(X1,X2) != v0
    | ~ rpoint(X1)
    | ~ rpoint(X2) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_187])]) ).

cnf(c_0_193,plain,
    vf(vd1288,vd1289) = v0,
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_188,c_0_189]),c_0_190]),c_0_143]),c_0_55]),c_0_98]),c_0_56])]),c_0_191]) ).

cnf(c_0_194,plain,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_193]),c_0_55]),c_0_98])]),c_0_175]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.12  % Problem    : GEO319+1 : TPTP v8.1.2. Released v4.1.0.
% 0.05/0.13  % Command    : run_E %s %d THM
% 0.13/0.33  % Computer : n006.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit   : 2400
% 0.13/0.33  % WCLimit    : 300
% 0.13/0.33  % DateTime   : Tue Oct  3 06:45:55 EDT 2023
% 0.13/0.33  % CPUTime    : 
% 0.18/0.46  Running first-order theorem proving
% 0.18/0.46  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.jmGRDzjBU1/E---3.1_30669.p
% 422.74/54.49  # Version: 3.1pre001
% 422.74/54.49  # Preprocessing class: FSLSSMSMSSSNFFN.
% 422.74/54.49  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 422.74/54.49  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 422.74/54.49  # Starting new_bool_3 with 300s (1) cores
% 422.74/54.49  # Starting new_bool_1 with 300s (1) cores
% 422.74/54.49  # Starting sh5l with 300s (1) cores
% 422.74/54.49  # C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 30747 completed with status 0
% 422.74/54.49  # Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 422.74/54.49  # Preprocessing class: FSLSSMSMSSSNFFN.
% 422.74/54.49  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 422.74/54.49  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 422.74/54.49  # No SInE strategy applied
% 422.74/54.49  # Search class: FGHSF-FSLM33-SFFFFFNN
% 422.74/54.49  # Scheduled 10 strats onto 5 cores with 1500 seconds (1500 total)
% 422.74/54.49  # Starting G-E--_107_C41_F1_PI_AE_Q4_CS_SP_PS_S2U with 271s (1) cores
% 422.74/54.49  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 422.74/54.49  # Starting H----_102_C18_F1_PI_AE_CS_SP_PS_S0Y with 136s (1) cores
% 422.74/54.49  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 136s (1) cores
% 422.74/54.49  # Starting G-E--_110_C45_F1_PI_AE_Q4_CS_SP_PS_S4S with 136s (1) cores
% 422.74/54.49  # H----_102_C18_F1_PI_AE_CS_SP_PS_S0Y with pid 30756 completed with status 0
% 422.74/54.49  # Result found by H----_102_C18_F1_PI_AE_CS_SP_PS_S0Y
% 422.74/54.49  # Preprocessing class: FSLSSMSMSSSNFFN.
% 422.74/54.49  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 422.74/54.49  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 422.74/54.49  # No SInE strategy applied
% 422.74/54.49  # Search class: FGHSF-FSLM33-SFFFFFNN
% 422.74/54.49  # Scheduled 10 strats onto 5 cores with 1500 seconds (1500 total)
% 422.74/54.49  # Starting G-E--_107_C41_F1_PI_AE_Q4_CS_SP_PS_S2U with 271s (1) cores
% 422.74/54.49  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 422.74/54.49  # Starting H----_102_C18_F1_PI_AE_CS_SP_PS_S0Y with 136s (1) cores
% 422.74/54.49  # Preprocessing time       : 0.017 s
% 422.74/54.49  # Presaturation interreduction done
% 422.74/54.49  
% 422.74/54.49  # Proof found!
% 422.74/54.49  # SZS status Theorem
% 422.74/54.49  # SZS output start CNFRefutation
% See solution above
% 422.74/54.49  # Parsed axioms                        : 163
% 422.74/54.49  # Removed by relevancy pruning/SinE    : 0
% 422.74/54.49  # Initial clauses                      : 330
% 422.74/54.49  # Removed in clause preprocessing      : 2
% 422.74/54.49  # Initial clauses in saturation        : 328
% 422.74/54.49  # Processed clauses                    : 95421
% 422.74/54.49  # ...of these trivial                  : 242
% 422.74/54.49  # ...subsumed                          : 76199
% 422.74/54.49  # ...remaining for further processing  : 18980
% 422.74/54.49  # Other redundant clauses eliminated   : 1194
% 422.74/54.49  # Clauses deleted for lack of memory   : 0
% 422.74/54.49  # Backward-subsumed                    : 3860
% 422.74/54.49  # Backward-rewritten                   : 1228
% 422.74/54.49  # Generated clauses                    : 817216
% 422.74/54.49  # ...of the previous two non-redundant : 789276
% 422.74/54.49  # ...aggressively subsumed             : 0
% 422.74/54.49  # Contextual simplify-reflections      : 3967
% 422.74/54.49  # Paramodulations                      : 816850
% 422.74/54.49  # Factorizations                       : 6
% 422.74/54.49  # NegExts                              : 0
% 422.74/54.49  # Equation resolutions                 : 1292
% 422.74/54.49  # Total rewrite steps                  : 850168
% 422.74/54.49  # Propositional unsat checks           : 0
% 422.74/54.49  #    Propositional check models        : 0
% 422.74/54.49  #    Propositional check unsatisfiable : 0
% 422.74/54.49  #    Propositional clauses             : 0
% 422.74/54.49  #    Propositional clauses after purity: 0
% 422.74/54.49  #    Propositional unsat core size     : 0
% 422.74/54.49  #    Propositional preprocessing time  : 0.000
% 422.74/54.49  #    Propositional encoding time       : 0.000
% 422.74/54.49  #    Propositional solver time         : 0.000
% 422.74/54.49  #    Success case prop preproc time    : 0.000
% 422.74/54.49  #    Success case prop encoding time   : 0.000
% 422.74/54.49  #    Success case prop solver time     : 0.000
% 422.74/54.49  # Current number of processed clauses  : 13347
% 422.74/54.49  #    Positive orientable unit clauses  : 102
% 422.74/54.49  #    Positive unorientable unit clauses: 0
% 422.74/54.49  #    Negative unit clauses             : 73
% 422.74/54.49  #    Non-unit-clauses                  : 13172
% 422.74/54.49  # Current number of unprocessed clauses: 677827
% 422.74/54.49  # ...number of literals in the above   : 8520701
% 422.74/54.49  # Current number of archived formulas  : 0
% 422.74/54.49  # Current number of archived clauses   : 5381
% 422.74/54.49  # Clause-clause subsumption calls (NU) : 32820227
% 422.74/54.49  # Rec. Clause-clause subsumption calls : 859528
% 422.74/54.49  # Non-unit clause-clause subsumptions  : 50290
% 422.74/54.49  # Unit Clause-clause subsumption calls : 61462
% 422.74/54.49  # Rewrite failures with RHS unbound    : 0
% 422.74/54.49  # BW rewrite match attempts            : 88
% 422.74/54.49  # BW rewrite match successes           : 31
% 422.74/54.49  # Condensation attempts                : 0
% 422.74/54.49  # Condensation successes               : 0
% 422.74/54.49  # Termbank termtop insertions          : 28320614
% 422.74/54.49  
% 422.74/54.49  # -------------------------------------------------
% 422.74/54.49  # User time                : 52.438 s
% 422.74/54.49  # System time              : 0.805 s
% 422.74/54.49  # Total time               : 53.244 s
% 422.74/54.49  # Maximum resident set size: 4584 pages
% 422.74/54.49  
% 422.74/54.49  # -------------------------------------------------
% 422.74/54.49  # User time                : 259.402 s
% 422.74/54.49  # System time              : 4.590 s
% 422.74/54.49  # Total time               : 263.992 s
% 422.74/54.49  # Maximum resident set size: 2572 pages
% 422.74/54.49  % E---3.1 exiting
% 422.74/54.49  % E---3.1 exiting
%------------------------------------------------------------------------------