TSTP Solution File: GEO337+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : GEO337+1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n017.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Sat Jul 16 04:05:29 EDT 2022

% Result   : Theorem 2.01s 226.18s
% Output   : CNFRefutation 2.01s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   23
%            Number of leaves      :   24
% Syntax   : Number of formulae    :  135 (  49 unt;   0 def)
%            Number of atoms       :  687 ( 338 equ)
%            Maximal formula atoms :   32 (   5 avg)
%            Number of connectives :  918 ( 366   ~; 459   |;  82   &)
%                                         (   1 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   41 (   6 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-3 aty)
%            Number of functors    :   14 (  14 usr;   9 con; 0-3 aty)
%            Number of variables   :  295 (   0 sgn  90   !;  27   ?)

% Comments : 
%------------------------------------------------------------------------------
fof('qu(cond(axiom(194), 0), imp(cond(axiom(194), 0)))',axiom,
    ! [X194,X195,X196,X197,X198,X199,X200] :
      ( ( ~ rR(X194,X196,X198)
        & ~ rR(X194,X195,X197)
        & X198 != X194
        & X197 != X194
        & X196 != X194
        & X195 != X194
        & ron(X198,X200)
        & ron(X196,X200)
        & ron(X197,X199)
        & ron(X195,X199)
        & ron(X194,X199)
        & ? [X201] :
            ( X200 = X201
            & rline(X201) )
        & ? [X202] :
            ( X199 = X202
            & rline(X202) )
        & ? [X203] :
            ( X198 = X203
            & rpoint(X203) )
        & ? [X204] :
            ( X197 = X204
            & rpoint(X204) )
        & ? [X205] :
            ( X196 = X205
            & rpoint(X205) )
        & ? [X206] :
            ( X195 = X206
            & rpoint(X206) )
        & ? [X207] :
            ( X194 = X207
            & rpoint(X207) ) )
     => vangle(X195,X194,X196) = vangle(X197,X194,X198) ),
    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,
    ! [X222,X223] :
      ( ( X222 != X223
        & ? [X224] :
            ( X223 = X224
            & rpoint(X224) )
        & ? [X225] :
            ( X222 = X225
            & rpoint(X225) ) )
     => ? [X226] :
          ( ron(X223,X226)
          & ron(X222,X226)
          & rline(X226) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p','qu(cond(axiom(51), 0), imp(cond(axiom(51), 0)))') ).

fof('qu(cond(axiom(168), 0), imp(cond(axiom(168), 0)))',axiom,
    ! [X636,X637,X638] :
      ( ( X636 != X638
        & X636 != X637
        & ? [X639] :
            ( X638 = X639
            & rpoint(X639) )
        & ? [X640] :
            ( X637 = X640
            & rpoint(X640) )
        & ? [X641] :
            ( X636 = X641
            & rpoint(X641) ) )
     => vangle(X636,X637,X638) = vangle(X638,X637,X636) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p','qu(cond(axiom(168), 0), imp(cond(axiom(168), 0)))') ).

fof('qe(s3(plural(386)))',axiom,
    ? [X1] :
      ( vd1363 = X1
      & rpoint(X1) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p','qe(s3(plural(386)))') ).

fof('qe(s1(plural(386)))',axiom,
    ? [X7] :
      ( vd1361 = X7
      & rpoint(X7) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p','qe(s1(plural(386)))') ).

fof('qe(s2(plural(386)))',axiom,
    ? [X6] :
      ( vd1362 = X6
      & rpoint(X6) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p','qe(s2(plural(386)))') ).

fof('qu(cond(axiom(81), 0), imp(cond(axiom(81), 0)))',axiom,
    ! [X102,X103,X104] :
      ( ( rR(X103,X102,X104)
        & ? [X105] :
            ( X104 = X105
            & rpoint(X105) )
        & ? [X106] :
            ( X103 = X106
            & rpoint(X106) )
        & ? [X107] :
            ( X102 = X107
            & rpoint(X107) ) )
     => ( ~ rR(X102,X103,X104)
        & X102 != X104
        & X102 != X103
        & rR(X103,X104,X102) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p','qu(cond(axiom(81), 0), imp(cond(axiom(81), 0)))') ).

fof('holds(386, 1365, 0)',axiom,
    vangle(vd1361,vd1362,vd1363) = vangle(vd1361,vd1363,vd1362),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p','holds(386, 1365, 0)') ).

fof('pred(386, 8)',axiom,
    vd1361 != vd1363,
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p','pred(386, 8)') ).

fof('pred(386, 7)',axiom,
    vd1361 != vd1362,
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p','pred(386, 7)') ).

fof('holds(conjunct1(396), 1379, 0)',axiom,
    rR(vd1378,vd1361,vd1363),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p','holds(conjunct1(396), 1379, 0)') ).

fof('holds(conjunct2(397), 1382, 0)',conjecture,
    vangle(vd1378,vd1363,vd1362) = vangle(vd1361,vd1362,vd1363),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p','holds(conjunct2(397), 1382, 0)') ).

fof('pred(396, 0)',axiom,
    rpoint(vd1378),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p','pred(396, 0)') ).

fof('pred(386, 9)',axiom,
    vd1362 != vd1363,
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p','pred(386, 9)') ).

fof('qu(cond(axiom(141), 0), imp(cond(axiom(141), 0)))',axiom,
    ! [X172,X173] :
      ( ( X172 = X173
        & rreal(X173) )
     => vplus(X172,v0) = X172 ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p','qu(cond(axiom(141), 0), imp(cond(axiom(141), 0)))') ).

fof('qu(cond(axiom(143), 0), imp(cond(axiom(143), 0)))',axiom,
    ! [X168,X169,X170,X171] :
      ( ( X170 = X171
        & rreal(X171)
        & X168 = X169
        & rreal(X169) )
     => vplus(X168,X170) = vplus(X170,X168) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p','qu(cond(axiom(143), 0), imp(cond(axiom(143), 0)))') ).

fof('ass(cond(156, 0), 0)',axiom,
    ! [X156,X157,X158,X159,X160,X161] :
      ( ( vplus(X156,X160) = vplus(X158,X160)
        & X160 = X161
        & rreal(X161)
        & X158 = X159
        & rreal(X159)
        & X156 = X157
        & rreal(X157) )
     => X156 = X158 ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p','ass(cond(156, 0), 0)') ).

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

fof('qu(cond(axiom(160), 0), imp(cond(axiom(160), 0)))',axiom,
    ! [X151,X152] :
      ( ( ? [X153] :
            ( X152 = X153
            & rpoint(X153) )
        & ? [X154] :
            ( X151 = X154
            & rpoint(X154) ) )
     => ? [X155] :
          ( vf(X151,X152) = X155
          & rreal(X155) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p','qu(cond(axiom(160), 0), imp(cond(axiom(160), 0)))') ).

fof('pred(axiom(137), 1)',axiom,
    rreal(vd684),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p','pred(axiom(137), 1)') ).

fof('qu(cond(axiom(180), 0), imp(cond(axiom(180), 0)))',axiom,
    ! [X208,X209,X210] :
      ( ( rR(X209,X208,X210)
        & ? [X211] :
            ( X210 = X211
            & rpoint(X211) )
        & ? [X212] :
            ( X209 = X212
            & rpoint(X212) )
        & ? [X213] :
            ( X208 = X213
            & rpoint(X213) ) )
     => vplus(vf(X208,X209),vf(X209,X210)) = vf(X208,X210) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p','qu(cond(axiom(180), 0), imp(cond(axiom(180), 0)))') ).

fof('holds(conjunct1(397), 1381, 0)',axiom,
    vf(vd1378,vd1363) = vf(vd1361,vd1362),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p','holds(conjunct1(397), 1381, 0)') ).

fof('holds(conjunct2(396), 1380, 0)',axiom,
    vf(vd1363,vd1378) = vf(vd1361,vd1362),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p','holds(conjunct2(396), 1380, 0)') ).

fof('qu(cond(axiom(162), 0), imp(cond(axiom(162), 0)))',axiom,
    ! [X68,X69] :
      ( ( ? [X70] :
            ( X69 = X70
            & rpoint(X70) )
        & ? [X71] :
            ( X68 = X71
            & rpoint(X71) ) )
     => ( vf(X68,X69) = v0
      <=> X68 = X69 ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p','qu(cond(axiom(162), 0), imp(cond(axiom(162), 0)))') ).

fof(c_0_24,plain,
    ! [X208,X209,X210,X211,X212,X213,X214,X215,X216,X217,X218,X219,X220,X221] :
      ( rR(X208,X210,X212)
      | rR(X208,X209,X211)
      | X212 = X208
      | X211 = X208
      | X210 = X208
      | X209 = X208
      | ~ ron(X212,X214)
      | ~ ron(X210,X214)
      | ~ ron(X211,X213)
      | ~ ron(X209,X213)
      | ~ ron(X208,X213)
      | X214 != X215
      | ~ rline(X215)
      | X213 != X216
      | ~ rline(X216)
      | X212 != X217
      | ~ rpoint(X217)
      | X211 != X218
      | ~ rpoint(X218)
      | X210 != X219
      | ~ rpoint(X219)
      | X209 != X220
      | ~ rpoint(X220)
      | X208 != X221
      | ~ rpoint(X221)
      | vangle(X209,X208,X210) = vangle(X211,X208,X212) ),
    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_25,plain,
    ! [X227,X228,X229,X230] :
      ( ( ron(X228,esk12_2(X227,X228))
        | X227 = X228
        | X228 != X229
        | ~ rpoint(X229)
        | X227 != X230
        | ~ rpoint(X230) )
      & ( ron(X227,esk12_2(X227,X228))
        | X227 = X228
        | X228 != X229
        | ~ rpoint(X229)
        | X227 != X230
        | ~ rpoint(X230) )
      & ( rline(esk12_2(X227,X228))
        | X227 = X228
        | X228 != X229
        | ~ rpoint(X229)
        | X227 != X230
        | ~ rpoint(X230) ) ),
    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_26,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_24]) ).

cnf(c_0_27,plain,
    ( X2 = X4
    | ron(X2,esk12_2(X2,X4))
    | ~ rpoint(X1)
    | X2 != X1
    | ~ rpoint(X3)
    | X4 != X3 ),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_28,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)
    | ~ rline(X6)
    | ~ rline(X7)
    | ~ ron(X5,X6)
    | ~ ron(X4,X7)
    | ~ ron(X3,X6)
    | ~ ron(X2,X7)
    | ~ ron(X1,X7)
    | ~ rpoint(X5)
    | ~ rpoint(X4)
    | ~ rpoint(X3)
    | ~ rpoint(X1)
    | ~ rpoint(X2) ),
    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_26])])])])])])]) ).

cnf(c_0_29,plain,
    ( X1 = X2
    | ron(X1,esk12_2(X1,X2))
    | ~ rpoint(X2)
    | ~ rpoint(X1) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_27])]) ).

cnf(c_0_30,plain,
    ( X2 = X4
    | ron(X4,esk12_2(X2,X4))
    | ~ rpoint(X1)
    | X2 != X1
    | ~ rpoint(X3)
    | X4 != X3 ),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_31,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)
    | ~ rline(esk12_2(X5,X6))
    | ~ rline(X7)
    | ~ ron(X3,esk12_2(X5,X6))
    | ~ ron(X4,X7)
    | ~ ron(X2,X7)
    | ~ ron(X1,X7)
    | ~ rpoint(X5)
    | ~ rpoint(X4)
    | ~ rpoint(X3)
    | ~ rpoint(X1)
    | ~ rpoint(X2)
    | ~ rpoint(X6) ),
    inference(spm,[status(thm)],[c_0_28,c_0_29]) ).

cnf(c_0_32,plain,
    ( X1 = X2
    | ron(X2,esk12_2(X1,X2))
    | ~ rpoint(X2)
    | ~ rpoint(X1) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_30])]) ).

cnf(c_0_33,plain,
    ( X2 = X4
    | rline(esk12_2(X2,X4))
    | ~ rpoint(X1)
    | X2 != X1
    | ~ rpoint(X3)
    | X4 != X3 ),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_34,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)
    | ~ rline(esk12_2(X5,X3))
    | ~ rline(X6)
    | ~ ron(X4,X6)
    | ~ ron(X2,X6)
    | ~ ron(X1,X6)
    | ~ rpoint(X5)
    | ~ rpoint(X4)
    | ~ rpoint(X3)
    | ~ rpoint(X1)
    | ~ rpoint(X2) ),
    inference(spm,[status(thm)],[c_0_31,c_0_32]) ).

cnf(c_0_35,plain,
    ( X1 = X2
    | rline(esk12_2(X1,X2))
    | ~ rpoint(X2)
    | ~ rpoint(X1) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_33])]) ).

cnf(c_0_36,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)
    | ~ rline(X6)
    | ~ ron(X4,X6)
    | ~ ron(X2,X6)
    | ~ ron(X1,X6)
    | ~ rpoint(X5)
    | ~ rpoint(X4)
    | ~ rpoint(X3)
    | ~ rpoint(X1)
    | ~ rpoint(X2) ),
    inference(spm,[status(thm)],[c_0_34,c_0_35]) ).

cnf(c_0_37,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)
    | ~ rline(esk12_2(X4,X6))
    | ~ ron(X2,esk12_2(X4,X6))
    | ~ ron(X1,esk12_2(X4,X6))
    | ~ rpoint(X5)
    | ~ rpoint(X4)
    | ~ rpoint(X3)
    | ~ rpoint(X1)
    | ~ rpoint(X2)
    | ~ rpoint(X6) ),
    inference(spm,[status(thm)],[c_0_36,c_0_29]) ).

cnf(c_0_38,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)
    | ~ rline(esk12_2(X4,X2))
    | ~ ron(X1,esk12_2(X4,X2))
    | ~ rpoint(X5)
    | ~ rpoint(X4)
    | ~ rpoint(X3)
    | ~ rpoint(X1)
    | ~ rpoint(X2) ),
    inference(spm,[status(thm)],[c_0_37,c_0_32]) ).

fof(c_0_39,plain,
    ! [X642,X643,X644,X645,X646,X647] :
      ( X642 = X644
      | X642 = X643
      | X644 != X645
      | ~ rpoint(X645)
      | X643 != X646
      | ~ rpoint(X646)
      | X642 != X647
      | ~ rpoint(X647)
      | vangle(X642,X643,X644) = vangle(X644,X643,X642) ),
    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)))'])])])])]) ).

fof(c_0_40,plain,
    ( vd1363 = esk1_0
    & rpoint(esk1_0) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],['qe(s3(plural(386)))'])]) ).

fof(c_0_41,plain,
    ( vd1361 = esk3_0
    & rpoint(esk3_0) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],['qe(s1(plural(386)))'])]) ).

fof(c_0_42,plain,
    ( vd1362 = esk2_0
    & rpoint(esk2_0) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],['qe(s2(plural(386)))'])]) ).

fof(c_0_43,plain,
    ! [X108,X109,X110,X111,X112,X113] :
      ( ( ~ rR(X108,X109,X110)
        | ~ rR(X109,X108,X110)
        | X110 != X111
        | ~ rpoint(X111)
        | X109 != X112
        | ~ rpoint(X112)
        | X108 != X113
        | ~ rpoint(X113) )
      & ( X108 != X110
        | ~ rR(X109,X108,X110)
        | X110 != X111
        | ~ rpoint(X111)
        | X109 != X112
        | ~ rpoint(X112)
        | X108 != X113
        | ~ rpoint(X113) )
      & ( X108 != X109
        | ~ rR(X109,X108,X110)
        | X110 != X111
        | ~ rpoint(X111)
        | X109 != X112
        | ~ rpoint(X112)
        | X108 != X113
        | ~ rpoint(X113) )
      & ( rR(X109,X110,X108)
        | ~ rR(X109,X108,X110)
        | X110 != X111
        | ~ rpoint(X111)
        | X109 != X112
        | ~ rpoint(X112)
        | X108 != X113
        | ~ rpoint(X113) ) ),
    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_44,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)
    | ~ rline(esk12_2(X1,X2))
    | ~ rpoint(X4)
    | ~ rpoint(X1)
    | ~ rpoint(X3)
    | ~ rpoint(X2) ),
    inference(spm,[status(thm)],[c_0_38,c_0_29]) ).

cnf(c_0_45,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_39]) ).

cnf(c_0_46,plain,
    vangle(vd1361,vd1362,vd1363) = vangle(vd1361,vd1363,vd1362),
    inference(split_conjunct,[status(thm)],['holds(386, 1365, 0)']) ).

cnf(c_0_47,plain,
    vd1363 = esk1_0,
    inference(split_conjunct,[status(thm)],[c_0_40]) ).

cnf(c_0_48,plain,
    vd1361 = esk3_0,
    inference(split_conjunct,[status(thm)],[c_0_41]) ).

cnf(c_0_49,plain,
    vd1362 = esk2_0,
    inference(split_conjunct,[status(thm)],[c_0_42]) ).

cnf(c_0_50,plain,
    vd1361 != vd1363,
    inference(split_conjunct,[status(thm)],['pred(386, 8)']) ).

cnf(c_0_51,plain,
    vd1361 != vd1362,
    inference(split_conjunct,[status(thm)],['pred(386, 7)']) ).

cnf(c_0_52,plain,
    ( rR(X4,X6,X2)
    | ~ rpoint(X1)
    | X2 != X1
    | ~ rpoint(X3)
    | X4 != X3
    | ~ rpoint(X5)
    | X6 != X5
    | ~ rR(X4,X2,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_43]) ).

cnf(c_0_53,plain,
    rR(vd1378,vd1361,vd1363),
    inference(split_conjunct,[status(thm)],['holds(conjunct1(396), 1379, 0)']) ).

cnf(c_0_54,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_44,c_0_35]) ).

cnf(c_0_55,plain,
    rpoint(esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_41]) ).

fof(c_0_56,negated_conjecture,
    vangle(vd1378,vd1363,vd1362) != vangle(vd1361,vd1362,vd1363),
    inference(assume_negation,[status(cth)],['holds(conjunct2(397), 1382, 0)']) ).

cnf(c_0_57,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_45])])]) ).

cnf(c_0_58,plain,
    vangle(esk3_0,esk2_0,esk1_0) = vangle(esk3_0,esk1_0,esk2_0),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_46,c_0_47]),c_0_47]),c_0_48]),c_0_49]),c_0_48]),c_0_49]) ).

cnf(c_0_59,plain,
    rpoint(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_40]) ).

cnf(c_0_60,plain,
    rpoint(esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_42]) ).

cnf(c_0_61,plain,
    esk3_0 != esk1_0,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_50,c_0_47]),c_0_48]) ).

cnf(c_0_62,plain,
    esk3_0 != esk2_0,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_51,c_0_49]),c_0_48]) ).

cnf(c_0_63,plain,
    ( ~ rpoint(X1)
    | X2 != X1
    | ~ rpoint(X3)
    | X4 != X3
    | ~ rpoint(X5)
    | X6 != X5
    | ~ rR(X4,X2,X6)
    | ~ rR(X2,X4,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_43]) ).

cnf(c_0_64,plain,
    ( rR(X1,X2,X3)
    | ~ rpoint(X2)
    | ~ rpoint(X1)
    | ~ rpoint(X3)
    | ~ rR(X1,X3,X2) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_52])])]) ).

cnf(c_0_65,plain,
    rR(vd1378,esk3_0,esk1_0),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_53,c_0_47]),c_0_48]) ).

cnf(c_0_66,plain,
    rpoint(vd1378),
    inference(split_conjunct,[status(thm)],['pred(396, 0)']) ).

cnf(c_0_67,plain,
    ( vangle(X1,X2,X3) = vangle(X1,X2,esk3_0)
    | X2 = esk3_0
    | esk3_0 = X3
    | X2 = X1
    | X2 = X3
    | rR(X2,X3,esk3_0)
    | rR(X2,X1,X1)
    | ~ rpoint(X1)
    | ~ rpoint(X3)
    | ~ rpoint(X2) ),
    inference(spm,[status(thm)],[c_0_54,c_0_55]) ).

fof(c_0_68,negated_conjecture,
    vangle(vd1378,vd1363,vd1362) != vangle(vd1361,vd1362,vd1363),
    inference(fof_simplification,[status(thm)],[c_0_56]) ).

cnf(c_0_69,plain,
    vangle(esk3_0,esk1_0,esk2_0) = vangle(esk1_0,esk2_0,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_57,c_0_58]),c_0_59]),c_0_60]),c_0_55])]),c_0_61]),c_0_62]) ).

cnf(c_0_70,plain,
    ( ~ rpoint(X1)
    | ~ rpoint(X2)
    | ~ rpoint(X3)
    | ~ rR(X2,X3,X1)
    | ~ rR(X3,X2,X1) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_63])])]) ).

cnf(c_0_71,plain,
    rR(vd1378,esk1_0,esk3_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_59]),c_0_66]),c_0_55])]) ).

cnf(c_0_72,plain,
    ( vangle(esk2_0,X1,X2) = vangle(esk2_0,X1,esk3_0)
    | X1 = esk3_0
    | esk3_0 = X2
    | X1 = esk2_0
    | X1 = X2
    | rR(X1,esk2_0,esk2_0)
    | rR(X1,X2,esk3_0)
    | ~ rpoint(X2)
    | ~ rpoint(X1) ),
    inference(spm,[status(thm)],[c_0_67,c_0_60]) ).

cnf(c_0_73,plain,
    vd1362 != vd1363,
    inference(split_conjunct,[status(thm)],['pred(386, 9)']) ).

cnf(c_0_74,negated_conjecture,
    vangle(vd1378,vd1363,vd1362) != vangle(vd1361,vd1362,vd1363),
    inference(split_conjunct,[status(thm)],[c_0_68]) ).

cnf(c_0_75,plain,
    vangle(esk3_0,esk2_0,esk1_0) = vangle(esk1_0,esk2_0,esk3_0),
    inference(rw,[status(thm)],[c_0_58,c_0_69]) ).

cnf(c_0_76,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_43]) ).

cnf(c_0_77,plain,
    ~ rR(esk1_0,vd1378,esk3_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71]),c_0_55]),c_0_66]),c_0_59])]) ).

cnf(c_0_78,plain,
    ( vangle(esk2_0,X1,vd1378) = vangle(esk2_0,X1,esk3_0)
    | vd1378 = esk3_0
    | X1 = esk3_0
    | X1 = esk2_0
    | X1 = vd1378
    | rR(X1,esk2_0,esk2_0)
    | rR(X1,vd1378,esk3_0)
    | ~ rpoint(X1) ),
    inference(spm,[status(thm)],[c_0_72,c_0_66]) ).

cnf(c_0_79,plain,
    vangle(esk2_0,esk1_0,esk3_0) = vangle(esk1_0,esk2_0,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_57,c_0_69]),c_0_60]),c_0_59]),c_0_55])]),c_0_62]),c_0_61]) ).

cnf(c_0_80,plain,
    esk2_0 != esk1_0,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_73,c_0_47]),c_0_49]) ).

fof(c_0_81,plain,
    ! [X174,X175] :
      ( X174 != X175
      | ~ rreal(X175)
      | vplus(X174,v0) = X174 ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(141), 0), imp(cond(axiom(141), 0)))'])])])]) ).

fof(c_0_82,plain,
    ! [X172,X173,X174,X175] :
      ( X174 != X175
      | ~ rreal(X175)
      | X172 != X173
      | ~ rreal(X173)
      | vplus(X172,X174) = vplus(X174,X172) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(143), 0), imp(cond(axiom(143), 0)))'])])])]) ).

cnf(c_0_83,negated_conjecture,
    vangle(vd1378,esk1_0,esk2_0) != vangle(esk1_0,esk2_0,esk3_0),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_74,c_0_47]),c_0_47]),c_0_48]),c_0_49]),c_0_75]),c_0_49]) ).

cnf(c_0_84,plain,
    ( ~ rpoint(X1)
    | ~ rpoint(X2)
    | ~ rR(X2,X1,X1) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_76])])])]) ).

cnf(c_0_85,plain,
    ( vangle(esk2_0,esk1_0,vd1378) = vangle(esk1_0,esk2_0,esk3_0)
    | vd1378 = esk3_0
    | vd1378 = esk1_0
    | rR(esk1_0,esk2_0,esk2_0) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_78]),c_0_79]),c_0_59])]),c_0_61]),c_0_80]) ).

fof(c_0_86,plain,
    ! [X162,X163,X164,X165,X166,X167] :
      ( vplus(X162,X166) != vplus(X164,X166)
      | X166 != X167
      | ~ rreal(X167)
      | X164 != X165
      | ~ rreal(X165)
      | X162 != X163
      | ~ rreal(X163)
      | X162 = X164 ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(156, 0), 0)'])])])]) ).

cnf(c_0_87,plain,
    ( vplus(X1,v0) = X1
    | ~ rreal(X2)
    | X1 != X2 ),
    inference(split_conjunct,[status(thm)],[c_0_81]) ).

cnf(c_0_88,plain,
    v0 = vd684,
    inference(split_conjunct,[status(thm)],['pred(axiom(137), 2)']) ).

cnf(c_0_89,plain,
    ( vplus(X1,X2) = vplus(X2,X1)
    | ~ rreal(X3)
    | X1 != X3
    | ~ rreal(X4)
    | X2 != X4 ),
    inference(split_conjunct,[status(thm)],[c_0_82]) ).

fof(c_0_90,plain,
    ! [X156,X157,X158,X159] :
      ( ( vf(X156,X157) = esk11_2(X156,X157)
        | X157 != X158
        | ~ rpoint(X158)
        | X156 != X159
        | ~ rpoint(X159) )
      & ( rreal(esk11_2(X156,X157))
        | X157 != X158
        | ~ rpoint(X158)
        | X156 != X159
        | ~ rpoint(X159) ) ),
    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(160), 0), imp(cond(axiom(160), 0)))'])])])])])])]) ).

cnf(c_0_91,plain,
    ( vangle(vd1378,X1,X2) = vangle(vd1378,X1,esk3_0)
    | X1 = esk3_0
    | esk3_0 = X2
    | X1 = vd1378
    | X1 = X2
    | rR(X1,vd1378,vd1378)
    | rR(X1,X2,esk3_0)
    | ~ rpoint(X2)
    | ~ rpoint(X1) ),
    inference(spm,[status(thm)],[c_0_67,c_0_66]) ).

cnf(c_0_92,negated_conjecture,
    ( vd1378 = esk2_0
    | vangle(esk2_0,esk1_0,vd1378) != vangle(esk1_0,esk2_0,esk3_0) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_83,c_0_57]),c_0_66]),c_0_59]),c_0_60])]),c_0_80]) ).

cnf(c_0_93,plain,
    ( vangle(esk2_0,esk1_0,vd1378) = vangle(esk1_0,esk2_0,esk3_0)
    | vd1378 = esk3_0
    | vd1378 = esk1_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_85]),c_0_60]),c_0_59])]) ).

cnf(c_0_94,plain,
    ( X1 = X2
    | ~ rreal(X3)
    | X1 != X3
    | ~ rreal(X4)
    | X2 != X4
    | ~ rreal(X5)
    | X6 != X5
    | vplus(X1,X6) != vplus(X2,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_86]) ).

cnf(c_0_95,plain,
    ( vplus(X1,vd684) = X1
    | ~ rreal(X1) ),
    inference(er,[status(thm)],[inference(rw,[status(thm)],[c_0_87,c_0_88])]) ).

cnf(c_0_96,plain,
    ( vplus(X1,X2) = vplus(X2,X1)
    | ~ rreal(X2)
    | ~ rreal(X1) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_89])]) ).

cnf(c_0_97,plain,
    rreal(vd684),
    inference(split_conjunct,[status(thm)],['pred(axiom(137), 1)']) ).

fof(c_0_98,plain,
    ! [X214,X215,X216,X217,X218,X219] :
      ( ~ rR(X215,X214,X216)
      | X216 != X217
      | ~ rpoint(X217)
      | X215 != X218
      | ~ rpoint(X218)
      | X214 != X219
      | ~ rpoint(X219)
      | vplus(vf(X214,X215),vf(X215,X216)) = vf(X214,X216) ),
    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(180), 0), imp(cond(axiom(180), 0)))'])])])])]) ).

cnf(c_0_99,plain,
    vf(vd1378,vd1363) = vf(vd1361,vd1362),
    inference(split_conjunct,[status(thm)],['holds(conjunct1(397), 1381, 0)']) ).

cnf(c_0_100,plain,
    vf(vd1363,vd1378) = vf(vd1361,vd1362),
    inference(split_conjunct,[status(thm)],['holds(conjunct2(396), 1380, 0)']) ).

cnf(c_0_101,plain,
    ( rreal(esk11_2(X2,X4))
    | ~ rpoint(X1)
    | X2 != X1
    | ~ rpoint(X3)
    | X4 != X3 ),
    inference(split_conjunct,[status(thm)],[c_0_90]) ).

cnf(c_0_102,plain,
    ( vf(X2,X4) = esk11_2(X2,X4)
    | ~ rpoint(X1)
    | X2 != X1
    | ~ rpoint(X3)
    | X4 != X3 ),
    inference(split_conjunct,[status(thm)],[c_0_90]) ).

fof(c_0_103,plain,
    ! [X72,X73,X74,X75] :
      ( ( vf(X72,X73) != v0
        | X72 = X73
        | X73 != X74
        | ~ rpoint(X74)
        | X72 != X75
        | ~ rpoint(X75) )
      & ( X72 != X73
        | vf(X72,X73) = v0
        | X73 != X74
        | ~ rpoint(X74)
        | X72 != X75
        | ~ rpoint(X75) ) ),
    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)],['qu(cond(axiom(162), 0), imp(cond(axiom(162), 0)))'])])])])])]) ).

cnf(c_0_104,plain,
    ( vangle(vd1378,X1,esk3_0) = vangle(vd1378,X1,esk2_0)
    | X1 = esk3_0
    | X1 = vd1378
    | X1 = esk2_0
    | rR(X1,vd1378,vd1378)
    | rR(X1,esk2_0,esk3_0)
    | ~ rpoint(X1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_60]),c_0_62]) ).

cnf(c_0_105,negated_conjecture,
    ( vd1378 = esk2_0
    | vd1378 = esk3_0
    | vd1378 = esk1_0 ),
    inference(spm,[status(thm)],[c_0_92,c_0_93]) ).

cnf(c_0_106,plain,
    ( X1 = X2
    | vplus(X1,X3) != vplus(X2,X3)
    | ~ rreal(X3)
    | ~ rreal(X2)
    | ~ rreal(X1) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_94])])]) ).

cnf(c_0_107,plain,
    ( vplus(vd684,X1) = X1
    | ~ rreal(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_95,c_0_96]),c_0_97])]) ).

cnf(c_0_108,plain,
    ( vplus(vf(X1,X2),vf(X2,X3)) = vf(X1,X3)
    | ~ rpoint(X4)
    | X1 != X4
    | ~ rpoint(X5)
    | X2 != X5
    | ~ rpoint(X6)
    | X3 != X6
    | ~ rR(X2,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_98]) ).

cnf(c_0_109,plain,
    vf(vd1378,esk1_0) = vf(esk3_0,esk2_0),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_99,c_0_48]),c_0_49]),c_0_47]) ).

cnf(c_0_110,plain,
    vf(esk3_0,esk2_0) = vf(esk1_0,vd1378),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_100,c_0_48]),c_0_49]),c_0_47]) ).

cnf(c_0_111,plain,
    ( rreal(esk11_2(X1,X2))
    | ~ rpoint(X2)
    | ~ rpoint(X1) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_101])]) ).

cnf(c_0_112,plain,
    ( esk11_2(X1,X2) = vf(X1,X2)
    | ~ rpoint(X2)
    | ~ rpoint(X1) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_102])]) ).

cnf(c_0_113,plain,
    ( X2 = X4
    | ~ rpoint(X1)
    | X2 != X1
    | ~ rpoint(X3)
    | X4 != X3
    | vf(X2,X4) != v0 ),
    inference(split_conjunct,[status(thm)],[c_0_103]) ).

cnf(c_0_114,plain,
    ( vangle(vd1378,X1,esk3_0) = vangle(vd1378,X1,esk2_0)
    | X1 = esk3_0
    | X1 = vd1378
    | X1 = esk2_0
    | rR(X1,esk2_0,esk3_0)
    | ~ rpoint(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_104]),c_0_66])]) ).

cnf(c_0_115,negated_conjecture,
    ( vd1378 = esk2_0
    | vd1378 = esk1_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_105]),c_0_69])]) ).

cnf(c_0_116,plain,
    ( X1 = vd684
    | vplus(X1,X2) != X2
    | ~ rreal(X2)
    | ~ rreal(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_107]),c_0_97])]) ).

cnf(c_0_117,plain,
    ( vplus(vf(X1,X2),vf(X2,X3)) = vf(X1,X3)
    | ~ rpoint(X3)
    | ~ rpoint(X2)
    | ~ rpoint(X1)
    | ~ rR(X2,X1,X3) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_108])])]) ).

cnf(c_0_118,plain,
    vf(vd1378,esk1_0) = vf(esk1_0,vd1378),
    inference(rw,[status(thm)],[c_0_109,c_0_110]) ).

cnf(c_0_119,plain,
    ( rreal(vf(X1,X2))
    | ~ rpoint(X2)
    | ~ rpoint(X1) ),
    inference(spm,[status(thm)],[c_0_111,c_0_112]) ).

cnf(c_0_120,plain,
    ( X1 = X2
    | vf(X1,X2) != vd684
    | ~ rpoint(X2)
    | ~ rpoint(X1) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[inference(rw,[status(thm)],[c_0_113,c_0_88])])]) ).

cnf(c_0_121,plain,
    ( vangle(vd1378,X1,esk3_0) = vangle(vd1378,X1,esk2_0)
    | X1 = esk3_0
    | X1 = vd1378
    | X1 = esk2_0
    | ~ rpoint(X1)
    | ~ rR(esk2_0,X1,esk3_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_114]),c_0_55]),c_0_60])]) ).

cnf(c_0_122,negated_conjecture,
    ( vd1378 = esk1_0
    | rR(esk2_0,esk1_0,esk3_0) ),
    inference(spm,[status(thm)],[c_0_71,c_0_115]) ).

cnf(c_0_123,plain,
    ( X1 = vd684
    | vplus(X2,X1) != X2
    | ~ rreal(X2)
    | ~ rreal(X1) ),
    inference(pm,[status(thm)],[c_0_116,c_0_96]) ).

cnf(c_0_124,plain,
    ( vplus(vf(X1,vd1378),vf(esk1_0,vd1378)) = vf(X1,esk1_0)
    | ~ rpoint(X1)
    | ~ rR(vd1378,X1,esk1_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_118]),c_0_59]),c_0_66])]) ).

cnf(c_0_125,plain,
    rreal(vf(esk1_0,vd1378)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_110]),c_0_60]),c_0_55])]) ).

cnf(c_0_126,plain,
    vf(esk1_0,vd1378) != vd684,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_110]),c_0_60]),c_0_55])]),c_0_62]) ).

cnf(c_0_127,negated_conjecture,
    ( vangle(vd1378,esk1_0,esk3_0) = vangle(vd1378,esk1_0,esk2_0)
    | vd1378 = esk1_0 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_122]),c_0_59])]),c_0_61]),c_0_80]) ).

cnf(c_0_128,plain,
    ( vf(X1,vd1378) != vf(X1,esk1_0)
    | ~ rreal(vf(X1,vd1378))
    | ~ rpoint(X1)
    | ~ rR(vd1378,X1,esk1_0) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_124]),c_0_125])]),c_0_126]) ).

cnf(c_0_129,negated_conjecture,
    ( vangle(vd1378,esk1_0,esk2_0) = vangle(esk3_0,esk1_0,vd1378)
    | vd1378 = esk3_0
    | vd1378 = esk1_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_127]),c_0_55]),c_0_59]),c_0_66])]) ).

cnf(c_0_130,plain,
    ( vf(X1,vd1378) != vf(X1,esk1_0)
    | ~ rpoint(X1)
    | ~ rR(vd1378,X1,esk1_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_119]),c_0_66])]) ).

cnf(c_0_131,negated_conjecture,
    ( vd1378 = esk3_0
    | vd1378 = esk1_0
    | vangle(esk3_0,esk1_0,vd1378) != vangle(esk1_0,esk2_0,esk3_0) ),
    inference(spm,[status(thm)],[c_0_83,c_0_129]) ).

cnf(c_0_132,plain,
    vf(esk3_0,vd1378) != vf(esk3_0,esk1_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_65]),c_0_55])]) ).

cnf(c_0_133,negated_conjecture,
    vd1378 = esk1_0,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_115]),c_0_69])]),c_0_62]),c_0_80]) ).

cnf(c_0_134,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_132,c_0_133])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GEO337+1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.13  % Command  : run_ET %s %d
% 0.12/0.34  % Computer : n017.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Fri Jun 17 19:04:42 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.42/23.43  eprover: CPU time limit exceeded, terminating
% 0.42/23.44  eprover: CPU time limit exceeded, terminating
% 0.42/23.44  eprover: CPU time limit exceeded, terminating
% 0.42/23.45  eprover: CPU time limit exceeded, terminating
% 0.60/46.44  eprover: CPU time limit exceeded, terminating
% 0.60/46.45  eprover: CPU time limit exceeded, terminating
% 0.60/46.47  eprover: CPU time limit exceeded, terminating
% 0.60/46.48  eprover: CPU time limit exceeded, terminating
% 0.78/69.46  eprover: CPU time limit exceeded, terminating
% 0.78/69.47  eprover: CPU time limit exceeded, terminating
% 0.78/69.48  eprover: CPU time limit exceeded, terminating
% 0.78/69.49  eprover: CPU time limit exceeded, terminating
% 0.96/92.48  eprover: CPU time limit exceeded, terminating
% 0.96/92.48  eprover: CPU time limit exceeded, terminating
% 0.96/92.50  eprover: CPU time limit exceeded, terminating
% 0.96/92.51  eprover: CPU time limit exceeded, terminating
% 1.15/115.49  eprover: CPU time limit exceeded, terminating
% 1.15/115.50  eprover: CPU time limit exceeded, terminating
% 1.15/115.52  eprover: CPU time limit exceeded, terminating
% 1.15/115.52  eprover: CPU time limit exceeded, terminating
% 1.33/138.51  eprover: CPU time limit exceeded, terminating
% 1.33/138.52  eprover: CPU time limit exceeded, terminating
% 1.33/138.53  eprover: CPU time limit exceeded, terminating
% 1.33/138.54  eprover: CPU time limit exceeded, terminating
% 1.50/161.54  eprover: CPU time limit exceeded, terminating
% 1.50/161.54  eprover: CPU time limit exceeded, terminating
% 1.50/161.55  eprover: CPU time limit exceeded, terminating
% 1.50/161.55  eprover: CPU time limit exceeded, terminating
% 1.68/184.55  eprover: CPU time limit exceeded, terminating
% 1.68/184.55  eprover: CPU time limit exceeded, terminating
% 1.68/184.57  eprover: eprover: CPU time limit exceeded, terminatingCPU time limit exceeded, terminating
% 1.68/184.57  
% 1.88/207.57  eprover: CPU time limit exceeded, terminating
% 1.88/207.57  eprover: CPU time limit exceeded, terminating
% 1.88/207.58  eprover: eprover: CPU time limit exceeded, terminatingCPU time limit exceeded, terminating
% 1.88/207.58  
% 2.01/226.18  # Running protocol protocol_eprover_2d86bd69119e7e9cc4417c0ee581499eaf828bb2 for 23 seconds:
% 2.01/226.18  
% 2.01/226.18  # Failure: Resource limit exceeded (time)
% 2.01/226.18  # OLD status Res
% 2.01/226.18  # SinE strategy is GSinE(CountFormulas,,1.1,,02,500,1.0)
% 2.01/226.18  # Preprocessing time       : 0.051 s
% 2.01/226.18  # Running protocol protocol_eprover_230b6c199cce1dcf6700db59e75a93feb83d1bd9 for 23 seconds:
% 2.01/226.18  
% 2.01/226.18  # Failure: Resource limit exceeded (time)
% 2.01/226.18  # OLD status Res
% 2.01/226.18  # SinE strategy is GSinE(CountFormulas,hypos,1.1,,01,20000,1.0)
% 2.01/226.18  # Preprocessing time       : 0.023 s
% 2.01/226.18  # Running protocol protocol_eprover_48e494e00e0717ec2eabf59b73b2d711334607de for 23 seconds:
% 2.01/226.18  
% 2.01/226.18  # Failure: Resource limit exceeded (time)
% 2.01/226.18  # OLD status Res
% 2.01/226.18  # SinE strategy is GSinE(CountFormulas,hypos,1.1,,03,20000,1.0)
% 2.01/226.18  # Preprocessing time       : 0.031 s
% 2.01/226.18  # Running protocol protocol_eprover_33aa8a325940064c53b389b41203bb48a5cb5006 for 23 seconds:
% 2.01/226.18  
% 2.01/226.18  # Failure: Resource limit exceeded (time)
% 2.01/226.18  # OLD status Res
% 2.01/226.18  # Preprocessing time       : 0.070 s
% 2.01/226.18  # Running protocol protocol_eprover_260890dcdd2d907655d788d68835201aeffdef4a for 23 seconds:
% 2.01/226.18  
% 2.01/226.18  # Failure: Resource limit exceeded (time)
% 2.01/226.18  # OLD status Res
% 2.01/226.18  # SinE strategy is GSinE(CountFormulas,,1.5,,03,100,1.0)
% 2.01/226.18  # Preprocessing time       : 0.063 s
% 2.01/226.18  # Running protocol protocol_eprover_9a428cb4e1feff5dec19b8494e78e7f0e8ede446 for 23 seconds:
% 2.01/226.18  
% 2.01/226.18  # Failure: Resource limit exceeded (time)
% 2.01/226.18  # OLD status Res
% 2.01/226.18  # Preprocessing time       : 0.068 s
% 2.01/226.18  # Running protocol protocol_eprover_e6b386026570787d4ac06e541c4634c5e3f09cc5 for 23 seconds:
% 2.01/226.18  
% 2.01/226.18  # Failure: Resource limit exceeded (time)
% 2.01/226.18  # OLD status Res
% 2.01/226.18  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,02,100,1.0)
% 2.01/226.18  # Preprocessing time       : 0.056 s
% 2.01/226.18  # Running protocol protocol_eprover_2e85aeff02a0bd3743f362014f6604d7fba54d74 for 23 seconds:
% 2.01/226.18  
% 2.01/226.18  # Failure: Resource limit exceeded (time)
% 2.01/226.18  # OLD status Res
% 2.01/226.18  # SinE strategy is GSinE(CountFormulas,hypos,1.1,,02,500,1.0)
% 2.01/226.18  # Preprocessing time       : 0.029 s
% 2.01/226.18  # Running protocol protocol_eprover_334d43c175335e554899225728a5c2ebd420f86b for 23 seconds:
% 2.01/226.18  
% 2.01/226.18  # Failure: Resource limit exceeded (time)
% 2.01/226.18  # OLD status Res
% 2.01/226.18  # Preprocessing time       : 0.036 s
% 2.01/226.18  # Running protocol protocol_eprover_13918ce26d63c8fe682016bfda2032977bcbf85b for 23 seconds:
% 2.01/226.18  # Preprocessing time       : 0.068 s
% 2.01/226.18  
% 2.01/226.18  # Proof found!
% 2.01/226.18  # SZS status Theorem
% 2.01/226.18  # SZS output start CNFRefutation
% See solution above
% 2.01/226.18  # Proof object total steps             : 135
% 2.01/226.18  # Proof object clause steps            : 96
% 2.01/226.18  # Proof object formula steps           : 39
% 2.01/226.18  # Proof object conjectures             : 13
% 2.01/226.18  # Proof object clause conjectures      : 10
% 2.01/226.18  # Proof object formula conjectures     : 3
% 2.01/226.18  # Proof object initial clauses used    : 32
% 2.01/226.18  # Proof object initial formulas used   : 24
% 2.01/226.18  # Proof object generating inferences   : 38
% 2.01/226.18  # Proof object simplifying inferences  : 147
% 2.01/226.18  # Training examples: 0 positive, 0 negative
% 2.01/226.18  # Parsed axioms                        : 130
% 2.01/226.18  # Removed by relevancy pruning/SinE    : 0
% 2.01/226.18  # Initial clauses                      : 288
% 2.01/226.18  # Removed in clause preprocessing      : 2
% 2.01/226.18  # Initial clauses in saturation        : 286
% 2.01/226.18  # Processed clauses                    : 21205
% 2.01/226.18  # ...of these trivial                  : 31
% 2.01/226.18  # ...subsumed                          : 7361
% 2.01/226.18  # ...remaining for further processing  : 13813
% 2.01/226.18  # Other redundant clauses eliminated   : 1200
% 2.01/226.18  # Clauses deleted for lack of memory   : 347699
% 2.01/226.18  # Backward-subsumed                    : 3575
% 2.01/226.18  # Backward-rewritten                   : 4122
% 2.01/226.18  # Generated clauses                    : 483687
% 2.01/226.18  # ...of the previous two non-trivial   : 468686
% 2.01/226.18  # Contextual simplify-reflections      : 0
% 2.01/226.18  # Paramodulations                      : 483342
% 2.01/226.18  # Factorizations                       : 25
% 2.01/226.18  # Equation resolutions                 : 1255
% 2.01/226.18  # Current number of processed clauses  : 5857
% 2.01/226.18  #    Positive orientable unit clauses  : 19
% 2.01/226.18  #    Positive unorientable unit clauses: 0
% 2.01/226.18  #    Negative unit clauses             : 7
% 2.01/226.18  #    Non-unit-clauses                  : 5831
% 2.01/226.18  # Current number of unprocessed clauses: 27751
% 2.01/226.18  # ...number of literals in the above   : 406222
% 2.01/226.18  # Current number of archived formulas  : 0
% 2.01/226.18  # Current number of archived clauses   : 7702
% 2.01/226.18  # Clause-clause subsumption calls (NU) : 5387100
% 2.01/226.18  # Rec. Clause-clause subsumption calls : 71239
% 2.01/226.18  # Non-unit clause-clause subsumptions  : 10752
% 2.01/226.18  # Unit Clause-clause subsumption calls : 8190
% 2.01/226.18  # Rewrite failures with RHS unbound    : 0
% 2.01/226.18  # BW rewrite match attempts            : 9
% 2.01/226.18  # BW rewrite match successes           : 9
% 2.01/226.18  # Condensation attempts                : 0
% 2.01/226.18  # Condensation successes               : 0
% 2.01/226.18  # Termbank termtop insertions          : 23564840
% 2.01/226.18  
% 2.01/226.18  # -------------------------------------------------
% 2.01/226.18  # User time                : 17.447 s
% 2.01/226.18  # System time              : 0.177 s
% 2.01/226.18  # Total time               : 17.624 s
% 2.01/226.18  # Maximum resident set size: 148432 pages
% 2.01/230.58  eprover: CPU time limit exceeded, terminating
% 2.01/230.60  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 2.01/230.60  eprover: No such file or directory
% 2.01/230.60  eprover: eprover: CPU time limit exceeded, terminatingCPU time limit exceeded, terminating
% 2.01/230.60  
% 2.01/230.61  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 2.01/230.61  eprover: No such file or directory
% 2.01/230.61  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 2.01/230.61  eprover: No such file or directory
% 2.01/230.62  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 2.01/230.62  eprover: No such file or directory
% 2.01/230.62  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 2.01/230.62  eprover: No such file or directory
% 2.01/230.62  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 2.01/230.62  eprover: No such file or directory
%------------------------------------------------------------------------------