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ET---2.0.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : GEO346+1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n003.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Sat Jul 16 04:05:31 EDT 2022

% Result   : Theorem 1.32s 209.48s
% Output   : CNFRefutation 1.32s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   27
%            Number of leaves      :   18
% Syntax   : Number of formulae    :  122 (  48 unt;   0 def)
%            Number of atoms       :  774 ( 326 equ)
%            Maximal formula atoms :   43 (   6 avg)
%            Number of connectives : 1059 ( 407   ~; 525   |; 117   &)
%                                         (   1 <=>;   9  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   41 (   7 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-3 aty)
%            Number of functors    :   17 (  17 usr;  15 con; 0-3 aty)
%            Number of variables   :  294 (   0 sgn  96   !;  26   ?)

% Comments : 
%------------------------------------------------------------------------------
fof('qu(cond(axiom(194), 0), imp(cond(axiom(194), 0)))',axiom,
    ! [X255,X256,X257,X258,X259,X260,X261] :
      ( ( ~ rR(X255,X257,X259)
        & ~ rR(X255,X256,X258)
        & X259 != X255
        & X258 != X255
        & X257 != X255
        & X256 != X255
        & ron(X259,X261)
        & ron(X257,X261)
        & ron(X258,X260)
        & ron(X256,X260)
        & ron(X255,X260)
        & ? [X262] :
            ( X261 = X262
            & rline(X262) )
        & ? [X263] :
            ( X260 = X263
            & rline(X263) )
        & ? [X264] :
            ( X259 = X264
            & rpoint(X264) )
        & ? [X265] :
            ( X258 = X265
            & rpoint(X265) )
        & ? [X266] :
            ( X257 = X266
            & rpoint(X266) )
        & ? [X267] :
            ( X256 = X267
            & rpoint(X267) )
        & ? [X268] :
            ( X255 = X268
            & rpoint(X268) ) )
     => vangle(X256,X255,X257) = vangle(X258,X255,X259) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p','qu(cond(axiom(194), 0), imp(cond(axiom(194), 0)))') ).

fof('qu(cond(axiom(51), 0), imp(cond(axiom(51), 0)))',axiom,
    ! [X33,X34] :
      ( ( X33 != X34
        & ? [X35] :
            ( X34 = X35
            & rpoint(X35) )
        & ? [X36] :
            ( X33 = X36
            & rpoint(X36) ) )
     => ? [X37] :
          ( ron(X34,X37)
          & ron(X33,X37)
          & rline(X37) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p','qu(cond(axiom(51), 0), imp(cond(axiom(51), 0)))') ).

fof('pred(406, 0)',axiom,
    rpoint(vd1409),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p','pred(406, 0)') ).

fof('qu(cond(axiom(81), 0), imp(cond(axiom(81), 0)))',axiom,
    ! [X171,X172,X173] :
      ( ( rR(X172,X171,X173)
        & ? [X174] :
            ( X173 = X174
            & rpoint(X174) )
        & ? [X175] :
            ( X172 = X175
            & rpoint(X175) )
        & ? [X176] :
            ( X171 = X176
            & rpoint(X176) ) )
     => ( ~ rR(X171,X172,X173)
        & X171 != X173
        & X171 != X172
        & rR(X172,X173,X171) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p','qu(cond(axiom(81), 0), imp(cond(axiom(81), 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
    & ? [X14] :
        ( vd1401 = X14
        & rpoint(X14) )
    & ? [X15] :
        ( vd1400 = X15
        & rpoint(X15) )
    & ? [X16] :
        ( vd1399 = X16
        & rpoint(X16) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p','and(pred(conjunct2(405), 5), and(pred(s2(plural(conjunct2(405))), 0), and(pred(s1(plural(conjunct2(405))), 0), and(pred(conjunct2(405), 1), and(pred(conjunct1(405), 9), and(pred(conjunct1(405), 8), and(pred(conjunct1(405), 7), and(qe(s3(plural(405))), and(qe(s2(plural(405))), qe(s1(plural(405))))))))))))') ).

fof('qu(cond(axiom(188), 0), imp(cond(axiom(188), 0)))',axiom,
    ! [X25,X26,X27,X28,X29,X30,X31,X32] :
      ( ( ron(X27,X31)
        & ron(X25,X31)
        & X25 != X29
        & X25 != X27
        & X31 = X32
        & rline(X32)
        & X29 = X30
        & rpoint(X30)
        & X27 = X28
        & rpoint(X28)
        & X25 = X26
        & rpoint(X26) )
     => ( ( ~ rR(X25,X27,X29)
          & ron(X29,X31) )
      <=> vangle(X27,X25,X29) = v0 ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p','qu(cond(axiom(188), 0), imp(cond(axiom(188), 0)))') ).

fof('qu(cond(axiom(83), 0), imp(cond(axiom(83), 0)))',axiom,
    ! [X133,X134,X135,X136,X137] :
      ( ( X136 = X137
        & ron(X134,X136)
        & ron(X133,X136)
        & rR(X134,X133,X135)
        & rline(X137)
        & ? [X138] :
            ( X135 = X138
            & rpoint(X138) )
        & ? [X139] :
            ( X134 = X139
            & rpoint(X139) )
        & ? [X140] :
            ( X133 = X140
            & rpoint(X140) ) )
     => ron(X135,X136) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p','qu(cond(axiom(83), 0), imp(cond(axiom(83), 0)))') ).

fof('pred(axiom(137), 2)',axiom,
    v0 = vd684,
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p','pred(axiom(137), 2)') ).

fof('replace(replace(and(pred(s2(plural(the(409))), 0), and(pred(s1(plural(the(409))), 0), pred(the(409), 0)))))',axiom,
    ( ron(vd1409,vskolem1419)
    & ron(vd1401,vskolem1419)
    & rline(vskolem1419) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p','replace(replace(and(pred(s2(plural(the(409))), 0), and(pred(s1(plural(the(409))), 0), pred(the(409), 0)))))') ).

fof('replace(pred(409, 2))',axiom,
    vd1418 = vskolem1419,
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p','replace(pred(409, 2))') ).

fof('qu(cond(axiom(168), 0), imp(cond(axiom(168), 0)))',axiom,
    ! [X195,X196,X197] :
      ( ( X195 != X197
        & X195 != X196
        & ? [X198] :
            ( X197 = X198
            & rpoint(X198) )
        & ? [X199] :
            ( X196 = X199
            & rpoint(X199) )
        & ? [X200] :
            ( X195 = X200
            & rpoint(X200) ) )
     => vangle(X195,X196,X197) = vangle(X197,X196,X195) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p','qu(cond(axiom(168), 0), imp(cond(axiom(168), 0)))') ).

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

fof('replace(pred(408, 2))',axiom,
    vd1415 = vskolem1416,
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p','replace(pred(408, 2))') ).

fof('holds(conjunct2(conjunct2(conjunct2(406))), 1413, 0)',axiom,
    vd1409 != vd1401,
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p','holds(conjunct2(conjunct2(conjunct2(406))), 1413, 0)') ).

fof('replace(qu(theu(the(409), 1), imp(the(409))))',axiom,
    ! [X1] :
      ( ( ron(vd1409,X1)
        & ron(vd1401,X1)
        & rline(X1) )
     => X1 = vskolem1419 ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p','replace(qu(theu(the(409), 1), imp(the(409))))') ).

fof('qu(cond(axiom(97), 0), imp(cond(axiom(97), 0)))',axiom,
    ! [X205,X206,X207,X208] :
      ( ( rS(X205,X206,X207)
        & X207 = X208
        & rline(X208)
        & ? [X209] :
            ( X206 = X209
            & rpoint(X209) )
        & ? [X210] :
            ( X205 = X210
            & rpoint(X210) ) )
     => rS(X206,X205,X207) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p','qu(cond(axiom(97), 0), imp(cond(axiom(97), 0)))') ).

fof('qu(cond(axiom(99), 0), imp(cond(axiom(99), 0)))',axiom,
    ! [X315,X316,X317,X318] :
      ( ( rS(X315,X316,X317)
        & X317 = X318
        & rline(X318)
        & ? [X319] :
            ( X316 = X319
            & rpoint(X319) )
        & ? [X320] :
            ( X315 = X320
            & rpoint(X320) ) )
     => ~ ron(X315,X317) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p','qu(cond(axiom(99), 0), imp(cond(axiom(99), 0)))') ).

fof('holds(conjunct1(406), 1410, 0)',axiom,
    rS(vd1401,vd1409,vd1406),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p','holds(conjunct1(406), 1410, 0)') ).

fof(c_0_18,plain,
    ! [X269,X270,X271,X272,X273,X274,X275,X276,X277,X278,X279,X280,X281,X282] :
      ( rR(X269,X271,X273)
      | rR(X269,X270,X272)
      | X273 = X269
      | X272 = X269
      | X271 = X269
      | X270 = X269
      | ~ ron(X273,X275)
      | ~ ron(X271,X275)
      | ~ ron(X272,X274)
      | ~ ron(X270,X274)
      | ~ ron(X269,X274)
      | X275 != X276
      | ~ rline(X276)
      | X274 != X277
      | ~ rline(X277)
      | X273 != X278
      | ~ rpoint(X278)
      | X272 != X279
      | ~ rpoint(X279)
      | X271 != X280
      | ~ rpoint(X280)
      | X270 != X281
      | ~ rpoint(X281)
      | X269 != X282
      | ~ rpoint(X282)
      | vangle(X270,X269,X271) = vangle(X272,X269,X273) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],['qu(cond(axiom(194), 0), imp(cond(axiom(194), 0)))'])])])])])]) ).

fof(c_0_19,plain,
    ! [X38,X39,X40,X41] :
      ( ( ron(X39,esk4_2(X38,X39))
        | X38 = X39
        | X39 != X40
        | ~ rpoint(X40)
        | X38 != X41
        | ~ rpoint(X41) )
      & ( ron(X38,esk4_2(X38,X39))
        | X38 = X39
        | X39 != X40
        | ~ rpoint(X40)
        | X38 != X41
        | ~ rpoint(X41) )
      & ( rline(esk4_2(X38,X39))
        | X38 = X39
        | X39 != X40
        | ~ rpoint(X40)
        | X38 != X41
        | ~ rpoint(X41) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(51), 0), imp(cond(axiom(51), 0)))'])])])])])])]) ).

cnf(c_0_20,plain,
    ( vangle(X1,X2,X3) = vangle(X4,X2,X5)
    | X1 = X2
    | X3 = X2
    | X4 = X2
    | X5 = X2
    | rR(X2,X1,X4)
    | rR(X2,X3,X5)
    | ~ rpoint(X6)
    | X2 != X6
    | ~ rpoint(X7)
    | X1 != X7
    | ~ rpoint(X8)
    | X3 != X8
    | ~ rpoint(X9)
    | X4 != X9
    | ~ rpoint(X10)
    | X5 != X10
    | ~ rline(X11)
    | X12 != X11
    | ~ rline(X13)
    | X14 != X13
    | ~ ron(X2,X12)
    | ~ ron(X1,X12)
    | ~ ron(X4,X12)
    | ~ ron(X3,X14)
    | ~ ron(X5,X14) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_21,plain,
    ( X2 = X4
    | ron(X2,esk4_2(X2,X4))
    | ~ rpoint(X1)
    | X2 != X1
    | ~ rpoint(X3)
    | X4 != X3 ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_22,plain,
    ( vangle(X1,X2,X3) = vangle(X4,X2,X5)
    | X2 = X5
    | X2 = X4
    | X2 = X3
    | X1 = X2
    | rR(X2,X3,X5)
    | rR(X2,X1,X4)
    | ~ rpoint(X5)
    | ~ rpoint(X4)
    | ~ rpoint(X3)
    | ~ rpoint(X1)
    | ~ rpoint(X2)
    | ~ rline(X6)
    | ~ rline(X7)
    | ~ ron(X5,X6)
    | ~ ron(X4,X7)
    | ~ ron(X3,X6)
    | ~ ron(X2,X7)
    | ~ ron(X1,X7) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_20])])])])])])]) ).

cnf(c_0_23,plain,
    ( X1 = X2
    | ron(X1,esk4_2(X1,X2))
    | ~ rpoint(X2)
    | ~ rpoint(X1) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_21])]) ).

cnf(c_0_24,plain,
    ( X2 = X4
    | ron(X4,esk4_2(X2,X4))
    | ~ rpoint(X1)
    | X2 != X1
    | ~ rpoint(X3)
    | X4 != X3 ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_25,plain,
    ( vangle(X1,X2,X3) = vangle(X4,X2,X5)
    | X2 = X5
    | X2 = X4
    | X2 = X3
    | X1 = X2
    | X5 = X6
    | rR(X2,X3,X5)
    | rR(X2,X1,X4)
    | ~ rpoint(X5)
    | ~ rpoint(X4)
    | ~ rpoint(X3)
    | ~ rpoint(X1)
    | ~ rpoint(X2)
    | ~ rpoint(X6)
    | ~ rline(esk4_2(X5,X6))
    | ~ rline(X7)
    | ~ ron(X3,esk4_2(X5,X6))
    | ~ ron(X4,X7)
    | ~ ron(X2,X7)
    | ~ ron(X1,X7) ),
    inference(spm,[status(thm)],[c_0_22,c_0_23]) ).

cnf(c_0_26,plain,
    ( X1 = X2
    | ron(X2,esk4_2(X1,X2))
    | ~ rpoint(X2)
    | ~ rpoint(X1) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_24])]) ).

cnf(c_0_27,plain,
    ( X2 = X4
    | rline(esk4_2(X2,X4))
    | ~ rpoint(X1)
    | X2 != X1
    | ~ rpoint(X3)
    | X4 != X3 ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_28,plain,
    ( vangle(X1,X2,X3) = vangle(X4,X2,X5)
    | X2 = X5
    | X2 = X4
    | X2 = X3
    | X1 = X2
    | X5 = X3
    | rR(X2,X3,X5)
    | rR(X2,X1,X4)
    | ~ rpoint(X5)
    | ~ rpoint(X4)
    | ~ rpoint(X3)
    | ~ rpoint(X1)
    | ~ rpoint(X2)
    | ~ rline(esk4_2(X5,X3))
    | ~ rline(X6)
    | ~ ron(X4,X6)
    | ~ ron(X2,X6)
    | ~ ron(X1,X6) ),
    inference(spm,[status(thm)],[c_0_25,c_0_26]) ).

cnf(c_0_29,plain,
    ( X1 = X2
    | rline(esk4_2(X1,X2))
    | ~ rpoint(X2)
    | ~ rpoint(X1) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_27])]) ).

cnf(c_0_30,plain,
    ( vangle(X1,X2,X3) = vangle(X4,X2,X5)
    | X2 = X5
    | X2 = X4
    | X2 = X3
    | X1 = X2
    | X5 = X3
    | rR(X2,X3,X5)
    | rR(X2,X1,X4)
    | ~ rpoint(X5)
    | ~ rpoint(X4)
    | ~ rpoint(X3)
    | ~ rpoint(X1)
    | ~ rpoint(X2)
    | ~ rline(X6)
    | ~ ron(X4,X6)
    | ~ ron(X2,X6)
    | ~ ron(X1,X6) ),
    inference(spm,[status(thm)],[c_0_28,c_0_29]) ).

cnf(c_0_31,plain,
    ( vangle(X1,X2,X3) = vangle(X4,X2,X5)
    | X2 = X5
    | X2 = X4
    | X2 = X3
    | X1 = X2
    | X5 = X3
    | X4 = X6
    | rR(X2,X3,X5)
    | rR(X2,X1,X4)
    | ~ rpoint(X5)
    | ~ rpoint(X4)
    | ~ rpoint(X3)
    | ~ rpoint(X1)
    | ~ rpoint(X2)
    | ~ rpoint(X6)
    | ~ rline(esk4_2(X4,X6))
    | ~ ron(X2,esk4_2(X4,X6))
    | ~ ron(X1,esk4_2(X4,X6)) ),
    inference(spm,[status(thm)],[c_0_30,c_0_23]) ).

cnf(c_0_32,plain,
    ( vangle(X1,X2,X3) = vangle(X4,X2,X5)
    | X2 = X5
    | X2 = X4
    | X2 = X3
    | X1 = X2
    | X5 = X3
    | rR(X2,X3,X5)
    | rR(X2,X1,X4)
    | ~ rpoint(X5)
    | ~ rpoint(X4)
    | ~ rpoint(X3)
    | ~ rpoint(X1)
    | ~ rpoint(X2)
    | ~ rline(esk4_2(X4,X2))
    | ~ ron(X1,esk4_2(X4,X2)) ),
    inference(spm,[status(thm)],[c_0_31,c_0_26]) ).

cnf(c_0_33,plain,
    ( vangle(X1,X2,X3) = vangle(X1,X2,X4)
    | X2 = X4
    | X2 = X1
    | X2 = X3
    | X4 = X3
    | rR(X2,X3,X4)
    | rR(X2,X1,X1)
    | ~ rpoint(X4)
    | ~ rpoint(X1)
    | ~ rpoint(X3)
    | ~ rpoint(X2)
    | ~ rline(esk4_2(X1,X2)) ),
    inference(spm,[status(thm)],[c_0_32,c_0_23]) ).

cnf(c_0_34,plain,
    ( vangle(X1,X2,X3) = vangle(X1,X2,X4)
    | X2 = X4
    | X2 = X1
    | X2 = X3
    | X4 = X3
    | rR(X2,X3,X4)
    | rR(X2,X1,X1)
    | ~ rpoint(X4)
    | ~ rpoint(X1)
    | ~ rpoint(X3)
    | ~ rpoint(X2) ),
    inference(spm,[status(thm)],[c_0_33,c_0_29]) ).

cnf(c_0_35,plain,
    rpoint(vd1409),
    inference(split_conjunct,[status(thm)],['pred(406, 0)']) ).

fof(c_0_36,plain,
    ! [X177,X178,X179,X180,X181,X182] :
      ( ( ~ rR(X177,X178,X179)
        | ~ rR(X178,X177,X179)
        | X179 != X180
        | ~ rpoint(X180)
        | X178 != X181
        | ~ rpoint(X181)
        | X177 != X182
        | ~ rpoint(X182) )
      & ( X177 != X179
        | ~ rR(X178,X177,X179)
        | X179 != X180
        | ~ rpoint(X180)
        | X178 != X181
        | ~ rpoint(X181)
        | X177 != X182
        | ~ rpoint(X182) )
      & ( X177 != X178
        | ~ rR(X178,X177,X179)
        | X179 != X180
        | ~ rpoint(X180)
        | X178 != X181
        | ~ rpoint(X181)
        | X177 != X182
        | ~ rpoint(X182) )
      & ( rR(X178,X179,X177)
        | ~ rR(X178,X177,X179)
        | X179 != X180
        | ~ rpoint(X180)
        | X178 != X181
        | ~ rpoint(X181)
        | X177 != X182
        | ~ rpoint(X182) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],['qu(cond(axiom(81), 0), imp(cond(axiom(81), 0)))'])])])])])])]) ).

cnf(c_0_37,plain,
    ( vangle(X1,X2,X3) = vangle(X1,X2,vd1409)
    | X2 = vd1409
    | vd1409 = X3
    | X2 = X1
    | X2 = X3
    | rR(X2,X3,vd1409)
    | rR(X2,X1,X1)
    | ~ rpoint(X1)
    | ~ rpoint(X3)
    | ~ rpoint(X2) ),
    inference(spm,[status(thm)],[c_0_34,c_0_35]) ).

fof(c_0_38,plain,
    ( vd1406 = vd1407
    & ron(vd1400,vd1406)
    & ron(vd1399,vd1406)
    & rline(vd1407)
    & vd1400 != vd1401
    & vd1399 != vd1401
    & vd1399 != vd1400
    & vd1401 = esk1_0
    & rpoint(esk1_0)
    & vd1400 = esk2_0
    & rpoint(esk2_0)
    & vd1399 = esk3_0
    & rpoint(esk3_0) ),
    inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[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_39,plain,
    ! [X33,X34,X35,X36,X37,X38,X39,X40] :
      ( ( rR(X33,X35,X37)
        | ~ ron(X37,X39)
        | vangle(X35,X33,X37) = v0
        | ~ ron(X35,X39)
        | ~ ron(X33,X39)
        | X33 = X37
        | X33 = X35
        | X39 != X40
        | ~ rline(X40)
        | X37 != X38
        | ~ rpoint(X38)
        | X35 != X36
        | ~ rpoint(X36)
        | X33 != X34
        | ~ rpoint(X34) )
      & ( ~ rR(X33,X35,X37)
        | vangle(X35,X33,X37) != v0
        | ~ ron(X35,X39)
        | ~ ron(X33,X39)
        | X33 = X37
        | X33 = X35
        | X39 != X40
        | ~ rline(X40)
        | X37 != X38
        | ~ rpoint(X38)
        | X35 != X36
        | ~ rpoint(X36)
        | X33 != X34
        | ~ rpoint(X34) )
      & ( ron(X37,X39)
        | vangle(X35,X33,X37) != v0
        | ~ ron(X35,X39)
        | ~ ron(X33,X39)
        | X33 = X37
        | X33 = X35
        | X39 != X40
        | ~ rline(X40)
        | X37 != X38
        | ~ rpoint(X38)
        | X35 != X36
        | ~ rpoint(X36)
        | X33 != X34
        | ~ rpoint(X34) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],['qu(cond(axiom(188), 0), imp(cond(axiom(188), 0)))'])])])])])]) ).

fof(c_0_40,plain,
    ! [X141,X142,X143,X144,X145,X146,X147,X148] :
      ( X144 != X145
      | ~ ron(X142,X144)
      | ~ ron(X141,X144)
      | ~ rR(X142,X141,X143)
      | ~ rline(X145)
      | X143 != X146
      | ~ rpoint(X146)
      | X142 != X147
      | ~ rpoint(X147)
      | X141 != X148
      | ~ rpoint(X148)
      | ron(X143,X144) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(83), 0), imp(cond(axiom(83), 0)))'])])])])]) ).

cnf(c_0_41,plain,
    ( ~ rpoint(X1)
    | X2 != X1
    | ~ rpoint(X3)
    | X4 != X3
    | ~ rpoint(X5)
    | X6 != X5
    | ~ rR(X4,X2,X6)
    | X2 != X6 ),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_42,plain,
    ( vangle(vd1409,X1,X2) = vangle(vd1409,X1,vd1409)
    | X1 = vd1409
    | vd1409 = X2
    | X1 = X2
    | rR(X1,vd1409,vd1409)
    | rR(X1,X2,vd1409)
    | ~ rpoint(X2)
    | ~ rpoint(X1) ),
    inference(spm,[status(thm)],[c_0_37,c_0_35]) ).

cnf(c_0_43,plain,
    rpoint(esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_38]) ).

cnf(c_0_44,plain,
    ( X2 = X4
    | X2 = X6
    | vangle(X4,X2,X6) = v0
    | rR(X2,X4,X6)
    | ~ rpoint(X1)
    | X2 != X1
    | ~ rpoint(X3)
    | X4 != X3
    | ~ rpoint(X5)
    | X6 != X5
    | ~ rline(X7)
    | X8 != X7
    | ~ ron(X2,X8)
    | ~ ron(X4,X8)
    | ~ ron(X6,X8) ),
    inference(split_conjunct,[status(thm)],[c_0_39]) ).

cnf(c_0_45,plain,
    v0 = vd684,
    inference(split_conjunct,[status(thm)],['pred(axiom(137), 2)']) ).

cnf(c_0_46,plain,
    ron(vd1409,vskolem1419),
    inference(split_conjunct,[status(thm)],['replace(replace(and(pred(s2(plural(the(409))), 0), and(pred(s1(plural(the(409))), 0), pred(the(409), 0)))))']) ).

cnf(c_0_47,plain,
    vd1418 = vskolem1419,
    inference(split_conjunct,[status(thm)],['replace(pred(409, 2))']) ).

cnf(c_0_48,plain,
    rline(vskolem1419),
    inference(split_conjunct,[status(thm)],['replace(replace(and(pred(s2(plural(the(409))), 0), and(pred(s1(plural(the(409))), 0), pred(the(409), 0)))))']) ).

cnf(c_0_49,plain,
    ( ron(X1,X2)
    | ~ rpoint(X3)
    | X4 != X3
    | ~ rpoint(X5)
    | X6 != X5
    | ~ rpoint(X7)
    | X1 != X7
    | ~ rline(X8)
    | ~ rR(X6,X4,X1)
    | ~ ron(X4,X2)
    | ~ ron(X6,X2)
    | X2 != X8 ),
    inference(split_conjunct,[status(thm)],[c_0_40]) ).

cnf(c_0_50,plain,
    ( ~ rR(X1,X2,X2)
    | ~ rpoint(X2)
    | ~ rpoint(X1) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_41])])])]) ).

cnf(c_0_51,plain,
    ( vangle(vd1409,X1,vd1409) = vangle(vd1409,X1,esk3_0)
    | vd1409 = esk3_0
    | X1 = vd1409
    | X1 = esk3_0
    | rR(X1,vd1409,vd1409)
    | rR(X1,esk3_0,vd1409)
    | ~ rpoint(X1) ),
    inference(spm,[status(thm)],[c_0_42,c_0_43]) ).

fof(c_0_52,plain,
    ! [X201,X202,X203,X204,X205,X206] :
      ( X201 = X203
      | X201 = X202
      | X203 != X204
      | ~ rpoint(X204)
      | X202 != X205
      | ~ rpoint(X205)
      | X201 != X206
      | ~ rpoint(X206)
      | vangle(X201,X202,X203) = vangle(X203,X202,X201) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(168), 0), imp(cond(axiom(168), 0)))'])])])])]) ).

cnf(c_0_53,plain,
    ( vangle(X1,X2,X3) = vd684
    | X2 = X3
    | X2 = X1
    | rR(X2,X1,X3)
    | ~ rpoint(X3)
    | ~ rpoint(X1)
    | ~ rpoint(X2)
    | ~ rline(X4)
    | ~ ron(X3,X4)
    | ~ ron(X1,X4)
    | ~ ron(X2,X4) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(rw,[status(thm)],[c_0_44,c_0_45])])])])]) ).

cnf(c_0_54,plain,
    ron(vd1409,vd1418),
    inference(rw,[status(thm)],[c_0_46,c_0_47]) ).

cnf(c_0_55,plain,
    rline(vd1418),
    inference(rw,[status(thm)],[c_0_48,c_0_47]) ).

cnf(c_0_56,plain,
    ( ron(X1,X2)
    | ~ rR(X3,X4,X1)
    | ~ rpoint(X1)
    | ~ rpoint(X3)
    | ~ rpoint(X4)
    | ~ rline(X2)
    | ~ ron(X3,X2)
    | ~ ron(X4,X2) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_49])])])]) ).

cnf(c_0_57,plain,
    ( vangle(vd1409,X1,vd1409) = vangle(vd1409,X1,esk3_0)
    | vd1409 = esk3_0
    | X1 = vd1409
    | X1 = esk3_0
    | rR(X1,esk3_0,vd1409)
    | ~ rpoint(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_35])]) ).

cnf(c_0_58,plain,
    ron(vd1401,vskolem1416),
    inference(split_conjunct,[status(thm)],['replace(replace(and(pred(s2(plural(the(408))), 0), and(pred(s1(plural(the(408))), 0), pred(the(408), 0)))))']) ).

cnf(c_0_59,plain,
    vd1401 = esk1_0,
    inference(split_conjunct,[status(thm)],[c_0_38]) ).

cnf(c_0_60,plain,
    vd1415 = vskolem1416,
    inference(split_conjunct,[status(thm)],['replace(pred(408, 2))']) ).

cnf(c_0_61,plain,
    rline(vskolem1416),
    inference(split_conjunct,[status(thm)],['replace(replace(and(pred(s2(plural(the(408))), 0), and(pred(s1(plural(the(408))), 0), pred(the(408), 0)))))']) ).

cnf(c_0_62,plain,
    ron(vd1399,vskolem1416),
    inference(split_conjunct,[status(thm)],['replace(replace(and(pred(s2(plural(the(408))), 0), and(pred(s1(plural(the(408))), 0), pred(the(408), 0)))))']) ).

cnf(c_0_63,plain,
    vd1399 = esk3_0,
    inference(split_conjunct,[status(thm)],[c_0_38]) ).

cnf(c_0_64,plain,
    vd1409 != vd1401,
    inference(split_conjunct,[status(thm)],['holds(conjunct2(conjunct2(conjunct2(406))), 1413, 0)']) ).

cnf(c_0_65,plain,
    vd1399 != vd1401,
    inference(split_conjunct,[status(thm)],[c_0_38]) ).

cnf(c_0_66,plain,
    ( X2 = X4
    | X2 = X6
    | ron(X6,X8)
    | ~ rpoint(X1)
    | X2 != X1
    | ~ rpoint(X3)
    | X4 != X3
    | ~ rpoint(X5)
    | X6 != X5
    | ~ rline(X7)
    | X8 != X7
    | ~ ron(X2,X8)
    | ~ ron(X4,X8)
    | vangle(X4,X2,X6) != v0 ),
    inference(split_conjunct,[status(thm)],[c_0_39]) ).

cnf(c_0_67,plain,
    ( vangle(X1,X2,X3) = vangle(X3,X2,X1)
    | X1 = X2
    | X1 = X3
    | ~ rpoint(X4)
    | X1 != X4
    | ~ rpoint(X5)
    | X2 != X5
    | ~ rpoint(X6)
    | X3 != X6 ),
    inference(split_conjunct,[status(thm)],[c_0_52]) ).

cnf(c_0_68,plain,
    ( vangle(X1,X2,vd1409) = vd684
    | X2 = vd1409
    | X2 = X1
    | rR(X2,X1,vd1409)
    | ~ rpoint(X1)
    | ~ rpoint(X2)
    | ~ ron(X1,vd1418)
    | ~ ron(X2,vd1418) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_35]),c_0_55])]) ).

cnf(c_0_69,plain,
    ( vangle(vd1409,X1,vd1409) = vangle(vd1409,X1,esk3_0)
    | vd1409 = esk3_0
    | X1 = vd1409
    | X1 = esk3_0
    | ron(vd1409,X2)
    | ~ rpoint(X1)
    | ~ rline(X2)
    | ~ ron(esk3_0,X2)
    | ~ ron(X1,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_35]),c_0_43])]) ).

cnf(c_0_70,plain,
    ron(esk1_0,vd1415),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_58,c_0_59]),c_0_60]) ).

cnf(c_0_71,plain,
    rpoint(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_38]) ).

cnf(c_0_72,plain,
    rline(vd1415),
    inference(rw,[status(thm)],[c_0_61,c_0_60]) ).

cnf(c_0_73,plain,
    ron(esk3_0,vd1415),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_62,c_0_63]),c_0_60]) ).

cnf(c_0_74,plain,
    vd1409 != esk1_0,
    inference(rw,[status(thm)],[c_0_64,c_0_59]) ).

cnf(c_0_75,plain,
    esk3_0 != esk1_0,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_65,c_0_59]),c_0_63]) ).

cnf(c_0_76,plain,
    ron(vd1401,vskolem1419),
    inference(split_conjunct,[status(thm)],['replace(replace(and(pred(s2(plural(the(409))), 0), and(pred(s1(plural(the(409))), 0), pred(the(409), 0)))))']) ).

fof(c_0_77,plain,
    ! [X2] :
      ( ~ ron(vd1409,X2)
      | ~ ron(vd1401,X2)
      | ~ rline(X2)
      | X2 = vskolem1419 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['replace(qu(theu(the(409), 1), imp(the(409))))'])]) ).

cnf(c_0_78,plain,
    ( X1 = X2
    | X1 = X3
    | ron(X2,X4)
    | vangle(X3,X1,X2) != vd684
    | ~ rpoint(X2)
    | ~ rpoint(X3)
    | ~ rpoint(X1)
    | ~ rline(X4)
    | ~ ron(X3,X4)
    | ~ ron(X1,X4) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(rw,[status(thm)],[c_0_66,c_0_45])])])])]) ).

cnf(c_0_79,plain,
    ( vangle(X1,X2,X3) = vangle(X3,X2,X1)
    | X1 = X3
    | X1 = X2
    | ~ rpoint(X3)
    | ~ rpoint(X2)
    | ~ rpoint(X1) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_67])])]) ).

cnf(c_0_80,plain,
    ( vangle(vd1409,X1,vd1409) = vd684
    | X1 = vd1409
    | ~ rpoint(X1)
    | ~ ron(X1,vd1418) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_68]),c_0_35]),c_0_54])]) ).

cnf(c_0_81,plain,
    ( vangle(vd1409,esk1_0,vd1409) = vangle(vd1409,esk1_0,esk3_0)
    | vd1409 = esk3_0
    | ron(vd1409,vd1415) ),
    inference(sr,[status(thm)],[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_69,c_0_70]),c_0_71]),c_0_72]),c_0_73])]),c_0_74]),c_0_75]) ).

cnf(c_0_82,plain,
    ron(esk1_0,vd1418),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_76,c_0_59]),c_0_47]) ).

fof(c_0_83,plain,
    ! [X211,X212,X213,X214,X215,X216] :
      ( ~ rS(X211,X212,X213)
      | X213 != X214
      | ~ rline(X214)
      | X212 != X215
      | ~ rpoint(X215)
      | X211 != X216
      | ~ rpoint(X216)
      | rS(X212,X211,X213) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(97), 0), imp(cond(axiom(97), 0)))'])])])])]) ).

cnf(c_0_84,plain,
    ( X1 = vskolem1419
    | ~ rline(X1)
    | ~ ron(vd1401,X1)
    | ~ ron(vd1409,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_77]) ).

cnf(c_0_85,plain,
    ( X1 = X2
    | X1 = X3
    | X3 = X2
    | ron(X2,X4)
    | vangle(X2,X1,X3) != vd684
    | ~ rpoint(X2)
    | ~ rpoint(X3)
    | ~ rpoint(X1)
    | ~ rline(X4)
    | ~ ron(X3,X4)
    | ~ ron(X1,X4) ),
    inference(pm,[status(thm)],[c_0_78,c_0_79]) ).

cnf(c_0_86,plain,
    ( vangle(vd1409,esk1_0,esk3_0) = vd684
    | vd1409 = esk3_0
    | ron(vd1409,vd1415) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_81]),c_0_71]),c_0_82])]),c_0_74]) ).

cnf(c_0_87,plain,
    rpoint(esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_38]) ).

fof(c_0_88,plain,
    ! [X321,X322,X323,X324,X325,X326] :
      ( ~ rS(X321,X322,X323)
      | X323 != X324
      | ~ rline(X324)
      | X322 != X325
      | ~ rpoint(X325)
      | X321 != X326
      | ~ rpoint(X326)
      | ~ ron(X321,X323) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],['qu(cond(axiom(99), 0), imp(cond(axiom(99), 0)))'])])])])])]) ).

cnf(c_0_89,plain,
    ( rS(X1,X2,X3)
    | ~ rpoint(X4)
    | X2 != X4
    | ~ rpoint(X5)
    | X1 != X5
    | ~ rline(X6)
    | X3 != X6
    | ~ rS(X2,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_83]) ).

cnf(c_0_90,plain,
    rS(vd1401,vd1409,vd1406),
    inference(split_conjunct,[status(thm)],['holds(conjunct1(406), 1410, 0)']) ).

cnf(c_0_91,plain,
    vd1406 = vd1407,
    inference(split_conjunct,[status(thm)],[c_0_38]) ).

cnf(c_0_92,plain,
    ( X1 = vd1418
    | ~ rline(X1)
    | ~ ron(vd1409,X1)
    | ~ ron(esk1_0,X1) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_84,c_0_47]),c_0_59]) ).

cnf(c_0_93,plain,
    ( vd1409 = esk3_0
    | ron(vd1409,vd1415)
    | ron(vd1409,X1)
    | ~ rline(X1)
    | ~ ron(esk3_0,X1)
    | ~ ron(esk1_0,X1) ),
    inference(sr,[status(thm)],[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_85,c_0_86]),c_0_35]),c_0_43]),c_0_71])]),c_0_74]),c_0_75]) ).

cnf(c_0_94,plain,
    ( vangle(vd1409,X1,vd1409) = vangle(vd1409,X1,esk2_0)
    | vd1409 = esk2_0
    | X1 = vd1409
    | X1 = esk2_0
    | rR(X1,vd1409,vd1409)
    | rR(X1,esk2_0,vd1409)
    | ~ rpoint(X1) ),
    inference(spm,[status(thm)],[c_0_42,c_0_87]) ).

cnf(c_0_95,plain,
    ( ~ ron(X1,X2)
    | ~ rpoint(X3)
    | X1 != X3
    | ~ rpoint(X4)
    | X5 != X4
    | ~ rline(X6)
    | X2 != X6
    | ~ rS(X1,X5,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_88]) ).

cnf(c_0_96,plain,
    ( rS(X1,X2,X3)
    | ~ rS(X2,X1,X3)
    | ~ rpoint(X1)
    | ~ rpoint(X2)
    | ~ rline(X3) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_89])])]) ).

cnf(c_0_97,plain,
    rS(esk1_0,vd1409,vd1407),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_90,c_0_59]),c_0_91]) ).

cnf(c_0_98,plain,
    rline(vd1407),
    inference(split_conjunct,[status(thm)],[c_0_38]) ).

cnf(c_0_99,plain,
    ( vd1415 = vd1418
    | ~ ron(vd1409,vd1415) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_72]),c_0_70])]) ).

cnf(c_0_100,plain,
    ( vd1409 = esk3_0
    | ron(vd1409,vd1415) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_72]),c_0_73]),c_0_70])]) ).

cnf(c_0_101,plain,
    ( vangle(vd1409,X1,vd1409) = vangle(vd1409,X1,esk2_0)
    | vd1409 = esk2_0
    | X1 = vd1409
    | X1 = esk2_0
    | rR(X1,esk2_0,vd1409)
    | ~ rpoint(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_94]),c_0_35])]) ).

cnf(c_0_102,plain,
    ron(vd1399,vd1406),
    inference(split_conjunct,[status(thm)],[c_0_38]) ).

cnf(c_0_103,plain,
    ron(vd1400,vd1406),
    inference(split_conjunct,[status(thm)],[c_0_38]) ).

cnf(c_0_104,plain,
    vd1400 = esk2_0,
    inference(split_conjunct,[status(thm)],[c_0_38]) ).

cnf(c_0_105,plain,
    vd1399 != vd1400,
    inference(split_conjunct,[status(thm)],[c_0_38]) ).

cnf(c_0_106,plain,
    ( ~ rS(X1,X2,X3)
    | ~ rpoint(X2)
    | ~ rpoint(X1)
    | ~ rline(X3)
    | ~ ron(X1,X3) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_95])])]) ).

cnf(c_0_107,plain,
    rS(vd1409,esk1_0,vd1407),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_97]),c_0_35]),c_0_71]),c_0_98])]) ).

cnf(c_0_108,plain,
    ( vd1415 = vd1418
    | vd1409 = esk3_0 ),
    inference(spm,[status(thm)],[c_0_99,c_0_100]) ).

cnf(c_0_109,plain,
    ( vangle(vd1409,X1,vd1409) = vangle(vd1409,X1,esk2_0)
    | vd1409 = esk2_0
    | X1 = vd1409
    | X1 = esk2_0
    | ron(vd1409,X2)
    | ~ rpoint(X1)
    | ~ rline(X2)
    | ~ ron(esk2_0,X2)
    | ~ ron(X1,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_101]),c_0_35]),c_0_87])]) ).

cnf(c_0_110,plain,
    ron(esk3_0,vd1407),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_102,c_0_63]),c_0_91]) ).

cnf(c_0_111,plain,
    ron(esk2_0,vd1407),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_103,c_0_104]),c_0_91]) ).

cnf(c_0_112,plain,
    esk3_0 != esk2_0,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_105,c_0_104]),c_0_63]) ).

cnf(c_0_113,plain,
    ~ ron(vd1409,vd1407),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_107]),c_0_71]),c_0_35]),c_0_98])]) ).

cnf(c_0_114,plain,
    vd1415 = vd1418,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_108]),c_0_73])]) ).

cnf(c_0_115,plain,
    ( vangle(vd1409,esk3_0,vd1409) = vangle(vd1409,esk3_0,esk2_0)
    | vd1409 = esk2_0
    | vd1409 = esk3_0 ),
    inference(sr,[status(thm)],[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_109,c_0_110]),c_0_43]),c_0_98]),c_0_111])]),c_0_112]),c_0_113]) ).

cnf(c_0_116,plain,
    ron(esk3_0,vd1418),
    inference(rw,[status(thm)],[c_0_73,c_0_114]) ).

cnf(c_0_117,plain,
    ( vangle(vd1409,esk3_0,esk2_0) = vd684
    | vd1409 = esk3_0
    | vd1409 = esk2_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_115]),c_0_43]),c_0_116])]) ).

cnf(c_0_118,plain,
    ( vd1409 = esk3_0
    | vd1409 = esk2_0
    | ron(vd1409,X1)
    | ~ rline(X1)
    | ~ ron(esk2_0,X1)
    | ~ ron(esk3_0,X1) ),
    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_85,c_0_117]),c_0_35]),c_0_87]),c_0_43])]),c_0_112]) ).

cnf(c_0_119,plain,
    ( vd1409 = esk3_0
    | vd1409 = esk2_0 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_98]),c_0_111]),c_0_110])]),c_0_113]) ).

cnf(c_0_120,plain,
    vd1409 = esk2_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_119]),c_0_110])]) ).

cnf(c_0_121,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_113,c_0_120]),c_0_111])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GEO346+1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.13  % Command  : run_ET %s %d
% 0.13/0.34  % Computer : n003.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Sat Jun 18 00:11:42 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.36/23.42  eprover: CPU time limit exceeded, terminating
% 0.36/23.43  eprover: CPU time limit exceeded, terminating
% 0.36/23.43  eprover: CPU time limit exceeded, terminating
% 0.36/23.44  eprover: CPU time limit exceeded, terminating
% 0.48/46.44  eprover: CPU time limit exceeded, terminating
% 0.48/46.44  eprover: CPU time limit exceeded, terminating
% 0.48/46.45  eprover: CPU time limit exceeded, terminating
% 0.48/46.46  eprover: CPU time limit exceeded, terminating
% 0.60/69.45  eprover: eprover: CPU time limit exceeded, terminatingCPU time limit exceeded, terminating
% 0.60/69.45  
% 0.60/69.46  eprover: CPU time limit exceeded, terminating
% 0.60/69.48  eprover: CPU time limit exceeded, terminating
% 0.71/92.46  eprover: eprover: CPU time limit exceeded, terminatingCPU time limit exceeded, terminating
% 0.71/92.46  
% 0.71/92.48  eprover: CPU time limit exceeded, terminating
% 0.71/92.50  eprover: CPU time limit exceeded, terminating
% 0.85/115.48  eprover: CPU time limit exceeded, terminating
% 0.85/115.48  eprover: CPU time limit exceeded, terminating
% 0.85/115.50  eprover: CPU time limit exceeded, terminating
% 0.85/115.52  eprover: CPU time limit exceeded, terminating
% 0.96/138.50  eprover: CPU time limit exceeded, terminating
% 0.96/138.50  eprover: CPU time limit exceeded, terminating
% 0.96/138.51  eprover: CPU time limit exceeded, terminating
% 0.96/138.53  eprover: CPU time limit exceeded, terminating
% 1.08/161.52  eprover: CPU time limit exceeded, terminating
% 1.08/161.53  eprover: eprover: CPU time limit exceeded, terminatingCPU time limit exceeded, terminating
% 1.08/161.53  
% 1.08/161.55  eprover: CPU time limit exceeded, terminating
% 1.20/184.53  eprover: CPU time limit exceeded, terminating
% 1.20/184.55  eprover: CPU time limit exceeded, terminating
% 1.20/184.56  eprover: CPU time limit exceeded, terminating
% 1.20/184.57  eprover: CPU time limit exceeded, terminating
% 1.31/207.55  eprover: CPU time limit exceeded, terminating
% 1.31/207.56  eprover: CPU time limit exceeded, terminating
% 1.31/207.58  eprover: CPU time limit exceeded, terminating
% 1.31/207.66  eprover: CPU time limit exceeded, terminating
% 1.32/209.48  # Running protocol protocol_eprover_2d86bd69119e7e9cc4417c0ee581499eaf828bb2 for 23 seconds:
% 1.32/209.48  
% 1.32/209.48  # Failure: Resource limit exceeded (time)
% 1.32/209.48  # OLD status Res
% 1.32/209.48  # SinE strategy is GSinE(CountFormulas,,1.1,,02,500,1.0)
% 1.32/209.48  # Preprocessing time       : 0.056 s
% 1.32/209.48  # Running protocol protocol_eprover_230b6c199cce1dcf6700db59e75a93feb83d1bd9 for 23 seconds:
% 1.32/209.48  
% 1.32/209.48  # Failure: Resource limit exceeded (time)
% 1.32/209.48  # OLD status Res
% 1.32/209.48  # SinE strategy is GSinE(CountFormulas,hypos,1.1,,01,20000,1.0)
% 1.32/209.48  # Preprocessing time       : 0.022 s
% 1.32/209.48  # Running protocol protocol_eprover_48e494e00e0717ec2eabf59b73b2d711334607de for 23 seconds:
% 1.32/209.48  
% 1.32/209.48  # Failure: Resource limit exceeded (time)
% 1.32/209.48  # OLD status Res
% 1.32/209.48  # SinE strategy is GSinE(CountFormulas,hypos,1.1,,03,20000,1.0)
% 1.32/209.48  # Preprocessing time       : 0.033 s
% 1.32/209.48  # Running protocol protocol_eprover_33aa8a325940064c53b389b41203bb48a5cb5006 for 23 seconds:
% 1.32/209.48  
% 1.32/209.48  # Failure: Resource limit exceeded (time)
% 1.32/209.48  # OLD status Res
% 1.32/209.48  # Preprocessing time       : 0.035 s
% 1.32/209.48  # Running protocol protocol_eprover_260890dcdd2d907655d788d68835201aeffdef4a for 23 seconds:
% 1.32/209.48  
% 1.32/209.48  # Failure: Resource limit exceeded (time)
% 1.32/209.48  # OLD status Res
% 1.32/209.48  # SinE strategy is GSinE(CountFormulas,,1.5,,03,100,1.0)
% 1.32/209.48  # Preprocessing time       : 0.064 s
% 1.32/209.48  # Running protocol protocol_eprover_9a428cb4e1feff5dec19b8494e78e7f0e8ede446 for 23 seconds:
% 1.32/209.48  
% 1.32/209.48  # Failure: Resource limit exceeded (time)
% 1.32/209.48  # OLD status Res
% 1.32/209.48  # Preprocessing time       : 0.067 s
% 1.32/209.48  # Running protocol protocol_eprover_e6b386026570787d4ac06e541c4634c5e3f09cc5 for 23 seconds:
% 1.32/209.48  
% 1.32/209.48  # Failure: Resource limit exceeded (time)
% 1.32/209.48  # OLD status Res
% 1.32/209.48  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,02,100,1.0)
% 1.32/209.48  # Preprocessing time       : 0.062 s
% 1.32/209.48  # Running protocol protocol_eprover_2e85aeff02a0bd3743f362014f6604d7fba54d74 for 23 seconds:
% 1.32/209.48  
% 1.32/209.48  # Failure: Resource limit exceeded (time)
% 1.32/209.48  # OLD status Res
% 1.32/209.48  # SinE strategy is GSinE(CountFormulas,hypos,1.1,,02,500,1.0)
% 1.32/209.48  # Preprocessing time       : 0.029 s
% 1.32/209.48  # Running protocol protocol_eprover_334d43c175335e554899225728a5c2ebd420f86b for 23 seconds:
% 1.32/209.48  
% 1.32/209.48  # Failure: Resource limit exceeded (time)
% 1.32/209.48  # OLD status Res
% 1.32/209.48  # Preprocessing time       : 0.063 s
% 1.32/209.48  # Running protocol protocol_eprover_13918ce26d63c8fe682016bfda2032977bcbf85b for 23 seconds:
% 1.32/209.48  # Preprocessing time       : 0.074 s
% 1.32/209.48  
% 1.32/209.48  # Proof found!
% 1.32/209.48  # SZS status Theorem
% 1.32/209.48  # SZS output start CNFRefutation
% See solution above
% 1.32/209.48  # Proof object total steps             : 122
% 1.32/209.48  # Proof object clause steps            : 94
% 1.32/209.48  # Proof object formula steps           : 28
% 1.32/209.48  # Proof object conjectures             : 0
% 1.32/209.48  # Proof object clause conjectures      : 0
% 1.32/209.48  # Proof object formula conjectures     : 0
% 1.32/209.48  # Proof object initial clauses used    : 36
% 1.32/209.48  # Proof object initial formulas used   : 18
% 1.32/209.48  # Proof object generating inferences   : 32
% 1.32/209.48  # Proof object simplifying inferences  : 133
% 1.32/209.48  # Training examples: 0 positive, 0 negative
% 1.32/209.48  # Parsed axioms                        : 131
% 1.32/209.48  # Removed by relevancy pruning/SinE    : 0
% 1.32/209.48  # Initial clauses                      : 302
% 1.32/209.48  # Removed in clause preprocessing      : 2
% 1.32/209.48  # Initial clauses in saturation        : 300
% 1.32/209.48  # Processed clauses                    : 4395
% 1.32/209.48  # ...of these trivial                  : 10
% 1.32/209.48  # ...subsumed                          : 2613
% 1.32/209.48  # ...remaining for further processing  : 1772
% 1.32/209.48  # Other redundant clauses eliminated   : 1197
% 1.32/209.48  # Clauses deleted for lack of memory   : 0
% 1.32/209.48  # Backward-subsumed                    : 155
% 1.32/209.48  # Backward-rewritten                   : 485
% 1.32/209.48  # Generated clauses                    : 28646
% 1.32/209.48  # ...of the previous two non-trivial   : 28170
% 1.32/209.48  # Contextual simplify-reflections      : 0
% 1.32/209.48  # Paramodulations                      : 28355
% 1.32/209.48  # Factorizations                       : 1
% 1.32/209.48  # Equation resolutions                 : 1232
% 1.32/209.48  # Current number of processed clauses  : 877
% 1.32/209.48  #    Positive orientable unit clauses  : 31
% 1.32/209.48  #    Positive unorientable unit clauses: 0
% 1.32/209.48  #    Negative unit clauses             : 8
% 1.32/209.48  #    Non-unit-clauses                  : 838
% 1.32/209.48  # Current number of unprocessed clauses: 11168
% 1.32/209.48  # ...number of literals in the above   : 169446
% 1.32/209.48  # Current number of archived formulas  : 0
% 1.32/209.48  # Current number of archived clauses   : 640
% 1.32/209.48  # Clause-clause subsumption calls (NU) : 265737
% 1.32/209.48  # Rec. Clause-clause subsumption calls : 7798
% 1.32/209.48  # Non-unit clause-clause subsumptions  : 2712
% 1.32/209.48  # Unit Clause-clause subsumption calls : 4093
% 1.32/209.48  # Rewrite failures with RHS unbound    : 0
% 1.32/209.48  # BW rewrite match attempts            : 12
% 1.32/209.48  # BW rewrite match successes           : 10
% 1.32/209.48  # Condensation attempts                : 0
% 1.32/209.48  # Condensation successes               : 0
% 1.32/209.48  # Termbank termtop insertions          : 1044184
% 1.32/209.48  
% 1.32/209.48  # -------------------------------------------------
% 1.32/209.48  # User time                : 0.975 s
% 1.32/209.48  # System time              : 0.022 s
% 1.32/209.48  # Total time               : 0.997 s
% 1.32/209.48  # Maximum resident set size: 35920 pages
% 1.34/230.58  eprover: CPU time limit exceeded, terminating
% 1.34/230.60  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.34/230.60  eprover: No such file or directory
% 1.34/230.60  eprover: CPU time limit exceeded, terminating
% 1.34/230.60  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.34/230.60  eprover: No such file or directory
% 1.34/230.61  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.34/230.61  eprover: No such file or directory
% 1.34/230.62  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.34/230.62  eprover: No such file or directory
% 1.34/230.67  eprover: CPU time limit exceeded, terminating
% 1.34/230.68  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.34/230.68  eprover: No such file or directory
% 1.34/230.69  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.34/230.69  eprover: No such file or directory
%------------------------------------------------------------------------------