TSTP Solution File: GEO293+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : GEO293+1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n018.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 03:45:09 EDT 2022

% Result   : Theorem 22.04s 4.30s
% Output   : CNFRefutation 22.04s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   31
% Syntax   : Number of clauses     :  103 (  48 unt;  25 nHn; 103 RR)
%            Number of literals    :  446 ( 201 equ; 265 neg)
%            Maximal clause size   :   26 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-3 aty)
%            Number of functors    :   18 (  18 usr;  14 con; 0-3 aty)
%            Number of variables   :  195 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_47,plain,
    vd1199 = esk9_0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-q29wv42m/lgb.p',i_0_47) ).

cnf(i_0_5,plain,
    vd1199 = vd1185,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-q29wv42m/lgb.p',i_0_5) ).

cnf(i_0_300,plain,
    ( X1 = X2
    | X1 = X3
    | X1 = X4
    | X1 = X5
    | vangle(X3,X1,X5) = vangle(X2,X1,X4)
    | rR(X1,X3,X2)
    | rR(X1,X5,X4)
    | X6 != X7
    | X8 != X9
    | X2 != X10
    | X3 != X11
    | X4 != X12
    | X5 != X13
    | X1 != X14
    | ~ rline(X7)
    | ~ rline(X9)
    | ~ rpoint(X14)
    | ~ rpoint(X11)
    | ~ rpoint(X13)
    | ~ rpoint(X10)
    | ~ rpoint(X12)
    | ~ ron(X2,X6)
    | ~ ron(X3,X6)
    | ~ ron(X4,X8)
    | ~ ron(X5,X8)
    | ~ ron(X1,X6) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-q29wv42m/lgb.p',i_0_300) ).

cnf(i_0_46,plain,
    rpoint(esk9_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-q29wv42m/lgb.p',i_0_46) ).

cnf(i_0_54,plain,
    ron(vd1185,vd1234),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-q29wv42m/lgb.p',i_0_54) ).

cnf(i_0_55,plain,
    rline(vd1234),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-q29wv42m/lgb.p',i_0_55) ).

cnf(i_0_257,plain,
    ( rreal(esk53_2(X1,X2))
    | X2 != X3
    | X1 != X4
    | ~ rpoint(X4)
    | ~ rpoint(X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-q29wv42m/lgb.p',i_0_257) ).

cnf(i_0_258,plain,
    ( esk53_2(X1,X2) = vf(X1,X2)
    | X2 != X3
    | X1 != X4
    | ~ rpoint(X4)
    | ~ rpoint(X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-q29wv42m/lgb.p',i_0_258) ).

cnf(i_0_57,plain,
    ron(vd1185,vd1232),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-q29wv42m/lgb.p',i_0_57) ).

cnf(i_0_58,plain,
    rline(vd1232),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-q29wv42m/lgb.p',i_0_58) ).

cnf(i_0_42,plain,
    rpoint(esk7_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-q29wv42m/lgb.p',i_0_42) ).

cnf(i_0_43,plain,
    vd1201 = esk7_0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-q29wv42m/lgb.p',i_0_43) ).

cnf(i_0_52,plain,
    ( X1 = X2
    | X2 != X3
    | X4 != X5
    | X1 != X6
    | vplus(X1,X4) != vplus(X2,X4)
    | ~ rreal(X6)
    | ~ rreal(X3)
    | ~ rreal(X5) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-q29wv42m/lgb.p',i_0_52) ).

cnf(i_0_78,plain,
    ( vplus(X1,X2) = vplus(X2,X1)
    | X2 != X3
    | X1 != X4
    | ~ rreal(X3)
    | ~ rreal(X4) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-q29wv42m/lgb.p',i_0_78) ).

cnf(i_0_32,plain,
    ( vplus(X1,v0) = X1
    | X1 != X2
    | ~ rreal(X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-q29wv42m/lgb.p',i_0_32) ).

cnf(i_0_53,plain,
    ron(vd1201,vd1234),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-q29wv42m/lgb.p',i_0_53) ).

cnf(i_0_82,plain,
    rreal(vd684),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-q29wv42m/lgb.p',i_0_82) ).

cnf(i_0_81,plain,
    v0 = vd684,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-q29wv42m/lgb.p',i_0_81) ).

cnf(i_0_26,plain,
    rpoint(esk1_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-q29wv42m/lgb.p',i_0_26) ).

cnf(i_0_27,plain,
    vd1187 = esk1_0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-q29wv42m/lgb.p',i_0_27) ).

cnf(i_0_266,plain,
    ( vplus(vf(X1,X2),vf(X2,X3)) = vf(X1,X3)
    | X3 != X4
    | X1 != X5
    | X2 != X6
    | ~ rpoint(X5)
    | ~ rpoint(X6)
    | ~ rpoint(X4)
    | ~ rR(X2,X1,X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-q29wv42m/lgb.p',i_0_266) ).

cnf(i_0_56,plain,
    ron(vd1187,vd1232),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-q29wv42m/lgb.p',i_0_56) ).

cnf(i_0_37,plain,
    vf(vd1199,vd1201) = vf(vd1178,vd1180),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-q29wv42m/lgb.p',i_0_37) ).

cnf(i_0_29,plain,
    vf(vd1178,vd1180) = vf(vd1185,vd1187),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-q29wv42m/lgb.p',i_0_29) ).

cnf(i_0_261,plain,
    ( X1 = X2
    | X1 = X3
    | vangle(X3,X1,X2) = v0
    | rR(X1,X3,X2)
    | X4 != X5
    | X2 != X6
    | X3 != X7
    | X1 != X8
    | ~ rline(X5)
    | ~ rpoint(X8)
    | ~ rpoint(X7)
    | ~ rpoint(X6)
    | ~ ron(X2,X4)
    | ~ ron(X3,X4)
    | ~ ron(X1,X4) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-q29wv42m/lgb.p',i_0_261) ).

cnf(i_0_119,plain,
    ( X1 != X2
    | X3 != X4
    | X5 != X6
    | X5 != X3
    | ~ rpoint(X6)
    | ~ rpoint(X2)
    | ~ rpoint(X4)
    | ~ rR(X1,X5,X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-q29wv42m/lgb.p',i_0_119) ).

cnf(i_0_72,plain,
    ( X1 = X2
    | X2 != X3
    | X1 != X4
    | vf(X1,X2) != v0
    | ~ rpoint(X4)
    | ~ rpoint(X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-q29wv42m/lgb.p',i_0_72) ).

cnf(i_0_259,plain,
    ( X1 = X2
    | X3 = X2
    | ron(X3,X4)
    | X2 != X5
    | X1 != X6
    | X4 != X7
    | X3 != X8
    | vangle(X1,X2,X3) != v0
    | ~ rline(X7)
    | ~ rpoint(X5)
    | ~ rpoint(X6)
    | ~ rpoint(X8)
    | ~ ron(X2,X4)
    | ~ ron(X1,X4) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-q29wv42m/lgb.p',i_0_259) ).

cnf(i_0_49,plain,
    ~ ron(vd1201,vd1232),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-q29wv42m/lgb.p',i_0_49) ).

cnf(i_0_69,plain,
    ~ ron(vd1187,vd1197),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-q29wv42m/lgb.p',i_0_69) ).

cnf(i_0_63,plain,
    ron(vd1185,vd1197),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-q29wv42m/lgb.p',i_0_63) ).

cnf(c_0_332,plain,
    vd1199 = esk9_0,
    i_0_47 ).

cnf(c_0_333,plain,
    vd1199 = vd1185,
    i_0_5 ).

cnf(c_0_334,plain,
    ( X1 = X2
    | X1 = X3
    | X1 = X4
    | X1 = X5
    | vangle(X3,X1,X5) = vangle(X2,X1,X4)
    | rR(X1,X3,X2)
    | rR(X1,X5,X4)
    | X6 != X7
    | X8 != X9
    | X2 != X10
    | X3 != X11
    | X4 != X12
    | X5 != X13
    | X1 != X14
    | ~ rline(X7)
    | ~ rline(X9)
    | ~ rpoint(X14)
    | ~ rpoint(X11)
    | ~ rpoint(X13)
    | ~ rpoint(X10)
    | ~ rpoint(X12)
    | ~ ron(X2,X6)
    | ~ ron(X3,X6)
    | ~ ron(X4,X8)
    | ~ ron(X5,X8)
    | ~ ron(X1,X6) ),
    i_0_300 ).

cnf(c_0_335,plain,
    rpoint(esk9_0),
    i_0_46 ).

cnf(c_0_336,plain,
    esk9_0 = vd1185,
    inference(rw,[status(thm)],[c_0_332,c_0_333]) ).

cnf(c_0_337,plain,
    ( vangle(X1,X2,X3) = vangle(X4,X2,X5)
    | X2 = X5
    | X2 = X3
    | X2 = X4
    | X2 = X1
    | rR(X2,X5,X3)
    | rR(X2,X4,X1)
    | ~ ron(X5,X6)
    | ~ ron(X3,X6)
    | ~ ron(X4,X7)
    | ~ ron(X1,X7)
    | ~ ron(X2,X7)
    | ~ rpoint(X2)
    | ~ rpoint(X5)
    | ~ rpoint(X3)
    | ~ rpoint(X4)
    | ~ rpoint(X1)
    | ~ rline(X6)
    | ~ rline(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_334])])])])])])]) ).

cnf(c_0_338,plain,
    ron(vd1185,vd1234),
    i_0_54 ).

cnf(c_0_339,plain,
    rpoint(vd1185),
    inference(rw,[status(thm)],[c_0_335,c_0_336]) ).

cnf(c_0_340,plain,
    rline(vd1234),
    i_0_55 ).

cnf(c_0_341,plain,
    ( rreal(esk53_2(X1,X2))
    | X2 != X3
    | X1 != X4
    | ~ rpoint(X4)
    | ~ rpoint(X3) ),
    i_0_257 ).

cnf(c_0_342,plain,
    ( esk53_2(X1,X2) = vf(X1,X2)
    | X2 != X3
    | X1 != X4
    | ~ rpoint(X4)
    | ~ rpoint(X3) ),
    i_0_258 ).

cnf(c_0_343,plain,
    ( vangle(X1,X2,X3) = vangle(X4,X2,vd1185)
    | X2 = vd1185
    | X2 = X3
    | X2 = X4
    | X2 = X1
    | rR(X2,vd1185,X3)
    | rR(X2,X4,X1)
    | ~ ron(X3,vd1234)
    | ~ ron(X4,X5)
    | ~ ron(X1,X5)
    | ~ ron(X2,X5)
    | ~ rpoint(X2)
    | ~ rpoint(X3)
    | ~ rpoint(X4)
    | ~ rpoint(X1)
    | ~ rline(X5) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_337,c_0_338]),c_0_339]),c_0_340])]) ).

cnf(c_0_344,plain,
    ron(vd1185,vd1232),
    i_0_57 ).

cnf(c_0_345,plain,
    rline(vd1232),
    i_0_58 ).

cnf(c_0_346,plain,
    rpoint(esk7_0),
    i_0_42 ).

cnf(c_0_347,plain,
    vd1201 = esk7_0,
    i_0_43 ).

cnf(c_0_348,plain,
    ( X1 = X2
    | X2 != X3
    | X4 != X5
    | X1 != X6
    | vplus(X1,X4) != vplus(X2,X4)
    | ~ rreal(X6)
    | ~ rreal(X3)
    | ~ rreal(X5) ),
    i_0_52 ).

cnf(c_0_349,plain,
    ( vplus(X1,X2) = vplus(X2,X1)
    | X2 != X3
    | X1 != X4
    | ~ rreal(X3)
    | ~ rreal(X4) ),
    i_0_78 ).

cnf(c_0_350,plain,
    ( vplus(X1,v0) = X1
    | X1 != X2
    | ~ rreal(X2) ),
    i_0_32 ).

cnf(c_0_351,plain,
    ( rreal(esk53_2(X1,X2))
    | ~ rpoint(X1)
    | ~ rpoint(X2) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_341])]) ).

cnf(c_0_352,plain,
    ( esk53_2(X1,X2) = vf(X1,X2)
    | ~ rpoint(X1)
    | ~ rpoint(X2) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_342])]) ).

cnf(c_0_353,plain,
    ( vangle(X1,X2,X3) = vangle(vd1185,X2,vd1185)
    | X2 = vd1185
    | X2 = X1
    | X2 = X3
    | rR(X2,vd1185,X1)
    | rR(X2,vd1185,X3)
    | ~ ron(X3,vd1234)
    | ~ ron(X1,vd1232)
    | ~ ron(X2,vd1232)
    | ~ rpoint(X2)
    | ~ rpoint(X3)
    | ~ rpoint(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_343,c_0_344]),c_0_339]),c_0_345])]) ).

cnf(c_0_354,plain,
    ron(vd1201,vd1234),
    i_0_53 ).

cnf(c_0_355,plain,
    rpoint(vd1201),
    inference(rw,[status(thm)],[c_0_346,c_0_347]) ).

cnf(c_0_356,plain,
    ( X1 = X2
    | vplus(X1,X3) != vplus(X2,X3)
    | ~ rreal(X1)
    | ~ rreal(X3)
    | ~ rreal(X2) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_348])])]) ).

cnf(c_0_357,plain,
    ( vplus(X1,X2) = vplus(X2,X1)
    | ~ rreal(X1)
    | ~ rreal(X2) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_349])]) ).

cnf(c_0_358,plain,
    ( vplus(X1,v0) = X1
    | ~ rreal(X1) ),
    inference(er,[status(thm)],[c_0_350]) ).

cnf(c_0_359,plain,
    ( rreal(vf(X1,X2))
    | ~ rpoint(X1)
    | ~ rpoint(X2) ),
    inference(spm,[status(thm)],[c_0_351,c_0_352]) ).

cnf(c_0_360,plain,
    rreal(vd684),
    i_0_82 ).

cnf(c_0_361,plain,
    v0 = vd684,
    i_0_81 ).

cnf(c_0_362,plain,
    ( vangle(X1,X2,vd1201) = vangle(vd1185,X2,vd1185)
    | X2 = vd1201
    | X2 = vd1185
    | X2 = X1
    | rR(X2,vd1185,vd1201)
    | rR(X2,vd1185,X1)
    | ~ ron(X1,vd1232)
    | ~ ron(X2,vd1232)
    | ~ rpoint(X2)
    | ~ rpoint(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_353,c_0_354]),c_0_355])]) ).

cnf(c_0_363,plain,
    rpoint(esk1_0),
    i_0_26 ).

cnf(c_0_364,plain,
    vd1187 = esk1_0,
    i_0_27 ).

cnf(c_0_365,plain,
    ( X1 = X2
    | vplus(X1,X3) != vplus(X3,X2)
    | ~ rreal(X1)
    | ~ rreal(X3)
    | ~ rreal(X2) ),
    inference(spm,[status(thm)],[c_0_356,c_0_357]) ).

cnf(c_0_366,plain,
    ( vplus(vf(X1,X2),v0) = vf(X1,X2)
    | ~ rpoint(X1)
    | ~ rpoint(X2) ),
    inference(spm,[status(thm)],[c_0_358,c_0_359]) ).

cnf(c_0_367,plain,
    rreal(v0),
    inference(rw,[status(thm)],[c_0_360,c_0_361]) ).

cnf(c_0_368,plain,
    ( vplus(vf(X1,X2),vf(X2,X3)) = vf(X1,X3)
    | X3 != X4
    | X1 != X5
    | X2 != X6
    | ~ rpoint(X5)
    | ~ rpoint(X6)
    | ~ rpoint(X4)
    | ~ rR(X2,X1,X3) ),
    i_0_266 ).

cnf(c_0_369,plain,
    ( vangle(vd1185,X1,vd1201) = vangle(vd1185,X1,vd1185)
    | X1 = vd1185
    | X1 = vd1201
    | rR(X1,vd1185,vd1185)
    | rR(X1,vd1185,vd1201)
    | ~ ron(X1,vd1232)
    | ~ rpoint(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_362,c_0_344]),c_0_339])]) ).

cnf(c_0_370,plain,
    ron(vd1187,vd1232),
    i_0_56 ).

cnf(c_0_371,plain,
    rpoint(vd1187),
    inference(rw,[status(thm)],[c_0_363,c_0_364]) ).

cnf(c_0_372,plain,
    vf(vd1199,vd1201) = vf(vd1178,vd1180),
    i_0_37 ).

cnf(c_0_373,plain,
    vf(vd1178,vd1180) = vf(vd1185,vd1187),
    i_0_29 ).

cnf(c_0_374,plain,
    ( X1 = v0
    | vplus(X1,vf(X2,X3)) != vf(X2,X3)
    | ~ rreal(X1)
    | ~ rpoint(X2)
    | ~ rpoint(X3) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_365,c_0_366]),c_0_367])]),c_0_359]) ).

cnf(c_0_375,plain,
    ( vplus(X1,vf(X2,X3)) = vplus(vf(X2,X3),X1)
    | ~ rreal(X1)
    | ~ rpoint(X2)
    | ~ rpoint(X3) ),
    inference(spm,[status(thm)],[c_0_357,c_0_359]) ).

cnf(c_0_376,plain,
    ( vplus(vf(X1,X2),vf(X2,X3)) = vf(X1,X3)
    | ~ rpoint(X2)
    | ~ rpoint(X1)
    | ~ rpoint(X3)
    | ~ rR(X2,X1,X3) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_368])])]) ).

cnf(c_0_377,plain,
    ( vangle(vd1185,vd1187,vd1201) = vangle(vd1185,vd1187,vd1185)
    | vd1187 = vd1201
    | vd1187 = vd1185
    | rR(vd1187,vd1185,vd1201)
    | rR(vd1187,vd1185,vd1185) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_369,c_0_370]),c_0_371])]) ).

cnf(c_0_378,plain,
    vf(vd1185,vd1187) = vf(vd1185,vd1201),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_372,c_0_373]),c_0_333]) ).

cnf(c_0_379,plain,
    ( X1 = X2
    | X1 = X3
    | vangle(X3,X1,X2) = v0
    | rR(X1,X3,X2)
    | X4 != X5
    | X2 != X6
    | X3 != X7
    | X1 != X8
    | ~ rline(X5)
    | ~ rpoint(X8)
    | ~ rpoint(X7)
    | ~ rpoint(X6)
    | ~ ron(X2,X4)
    | ~ ron(X3,X4)
    | ~ ron(X1,X4) ),
    i_0_261 ).

cnf(c_0_380,plain,
    ( X1 = v0
    | vplus(vf(X2,X3),X1) != vf(X2,X3)
    | ~ rreal(X1)
    | ~ rpoint(X2)
    | ~ rpoint(X3) ),
    inference(spm,[status(thm)],[c_0_374,c_0_375]) ).

cnf(c_0_381,plain,
    ( vplus(vf(vd1185,vd1201),vf(vd1187,vd1201)) = vf(vd1185,vd1201)
    | vangle(vd1185,vd1187,vd1201) = vangle(vd1185,vd1187,vd1185)
    | vd1187 = vd1185
    | vd1187 = vd1201
    | rR(vd1187,vd1185,vd1185) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_376,c_0_377]),c_0_378]),c_0_371]),c_0_339]),c_0_355])]) ).

cnf(c_0_382,plain,
    ( vangle(X1,X2,X3) = v0
    | X2 = X1
    | X2 = X3
    | rR(X2,X1,X3)
    | ~ ron(X1,X4)
    | ~ ron(X3,X4)
    | ~ ron(X2,X4)
    | ~ rpoint(X2)
    | ~ rpoint(X1)
    | ~ rpoint(X3)
    | ~ rline(X4) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_379])])])]) ).

cnf(c_0_383,plain,
    ( X1 != X2
    | X3 != X4
    | X5 != X6
    | X5 != X3
    | ~ rpoint(X6)
    | ~ rpoint(X2)
    | ~ rpoint(X4)
    | ~ rR(X1,X5,X3) ),
    i_0_119 ).

cnf(c_0_384,plain,
    ( vangle(vd1185,vd1187,vd1201) = vangle(vd1185,vd1187,vd1185)
    | vf(vd1187,vd1201) = v0
    | vd1187 = vd1201
    | vd1187 = vd1185
    | rR(vd1187,vd1185,vd1185)
    | ~ rreal(vf(vd1187,vd1201)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_380,c_0_381]),c_0_339]),c_0_355])]) ).

cnf(c_0_385,plain,
    ( vangle(vd1185,X1,X2) = v0
    | X1 = vd1185
    | X1 = X2
    | rR(X1,vd1185,X2)
    | ~ ron(X2,vd1232)
    | ~ ron(X1,vd1232)
    | ~ rpoint(X1)
    | ~ rpoint(X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_382,c_0_344]),c_0_339]),c_0_345])]) ).

cnf(c_0_386,plain,
    ( X1 = X2
    | X2 != X3
    | X1 != X4
    | vf(X1,X2) != v0
    | ~ rpoint(X4)
    | ~ rpoint(X3) ),
    i_0_72 ).

cnf(c_0_387,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_383])])])]) ).

cnf(c_0_388,plain,
    ( vangle(vd1185,vd1187,vd1201) = vangle(vd1185,vd1187,vd1185)
    | vf(vd1187,vd1201) = v0
    | vd1187 = vd1185
    | vd1187 = vd1201
    | rR(vd1187,vd1185,vd1185) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_384,c_0_359]),c_0_371]),c_0_355])]) ).

cnf(c_0_389,plain,
    ( vangle(vd1185,X1,vd1185) = v0
    | X1 = vd1185
    | rR(X1,vd1185,vd1185)
    | ~ ron(X1,vd1232)
    | ~ rpoint(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_385,c_0_344]),c_0_339])]) ).

cnf(c_0_390,plain,
    ( X1 = X2
    | X3 = X2
    | ron(X3,X4)
    | X2 != X5
    | X1 != X6
    | X4 != X7
    | X3 != X8
    | vangle(X1,X2,X3) != v0
    | ~ rline(X7)
    | ~ rpoint(X5)
    | ~ rpoint(X6)
    | ~ rpoint(X8)
    | ~ ron(X2,X4)
    | ~ ron(X1,X4) ),
    i_0_259 ).

cnf(c_0_391,plain,
    ( X1 = X2
    | vf(X1,X2) != v0
    | ~ rpoint(X1)
    | ~ rpoint(X2) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_386])]) ).

cnf(c_0_392,plain,
    ( vangle(vd1185,vd1187,vd1201) = vangle(vd1185,vd1187,vd1185)
    | vf(vd1187,vd1201) = v0
    | vd1187 = vd1201
    | vd1187 = vd1185 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_387,c_0_388]),c_0_339]),c_0_371])]) ).

cnf(c_0_393,plain,
    ( vangle(vd1185,vd1187,vd1185) = v0
    | vd1187 = vd1185
    | rR(vd1187,vd1185,vd1185) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_389,c_0_370]),c_0_371])]) ).

cnf(c_0_394,plain,
    ( X1 = X2
    | X3 = X1
    | ron(X2,X4)
    | vangle(X3,X1,X2) != v0
    | ~ ron(X1,X4)
    | ~ ron(X3,X4)
    | ~ rpoint(X2)
    | ~ rpoint(X3)
    | ~ rpoint(X1)
    | ~ rline(X4) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_390])])])]) ).

cnf(c_0_395,plain,
    ( vangle(vd1185,vd1187,vd1201) = vangle(vd1185,vd1187,vd1185)
    | vd1187 = vd1185
    | vd1187 = vd1201 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_391,c_0_392]),c_0_371]),c_0_355])]) ).

cnf(c_0_396,plain,
    ( vangle(vd1185,vd1187,vd1185) = v0
    | vd1187 = vd1185 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_387,c_0_393]),c_0_339]),c_0_371])]) ).

cnf(c_0_397,plain,
    ( vd1187 = vd1201
    | vd1187 = vd1185
    | ron(vd1201,X1)
    | ~ ron(vd1187,X1)
    | ~ ron(vd1185,X1)
    | ~ rline(X1) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_394,c_0_395]),c_0_355]),c_0_339]),c_0_371])]),c_0_396]) ).

cnf(c_0_398,plain,
    ~ ron(vd1201,vd1232),
    i_0_49 ).

cnf(c_0_399,plain,
    ( vd1187 = vd1185
    | vd1187 = vd1201 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_397,c_0_370]),c_0_344]),c_0_345])]),c_0_398]) ).

cnf(c_0_400,plain,
    ~ ron(vd1187,vd1197),
    i_0_69 ).

cnf(c_0_401,plain,
    vd1187 = vd1185,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_370,c_0_399]),c_0_398]) ).

cnf(c_0_402,plain,
    ron(vd1185,vd1197),
    i_0_63 ).

cnf(c_0_403,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_400,c_0_401]),c_0_402])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : GEO293+1 : TPTP v8.1.0. Released v4.1.0.
% 0.00/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.33  % Computer : n018.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Fri Jun 17 15:29:34 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.19/0.44  # ENIGMATIC: Selected complete mode:
% 22.04/4.30  # ENIGMATIC: Solved by autoschedule-lgb:
% 22.04/4.30  # No SInE strategy applied
% 22.04/4.30  # Trying AutoSched0 for 150 seconds
% 22.04/4.30  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_S2m
% 22.04/4.30  # and selection function SelectCQArNTNpEqFirst.
% 22.04/4.30  #
% 22.04/4.30  # Preprocessing time       : 0.027 s
% 22.04/4.30  # Presaturation interreduction done
% 22.04/4.30  
% 22.04/4.30  # Proof found!
% 22.04/4.30  # SZS status Theorem
% 22.04/4.30  # SZS output start CNFRefutation
% See solution above
% 22.04/4.30  # Training examples: 0 positive, 0 negative
% 22.04/4.30  
% 22.04/4.30  # -------------------------------------------------
% 22.04/4.30  # User time                : 1.710 s
% 22.04/4.30  # System time              : 0.016 s
% 22.04/4.30  # Total time               : 1.726 s
% 22.04/4.30  # Maximum resident set size: 7124 pages
% 22.04/4.30  
%------------------------------------------------------------------------------