TSTP Solution File: GEO321+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : GEO321+1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n026.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 03:45:19 EDT 2022

% Result   : Theorem 25.58s 4.76s
% Output   : CNFRefutation 25.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   29
% Syntax   : Number of clauses     :   85 (  64 unt;  18 nHn;  85 RR)
%            Number of literals    :  313 ( 133 equ; 164 neg)
%            Maximal clause size   :   26 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :   12 (  12 usr;  11 con; 0-3 aty)
%            Number of variables   :   96 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_23,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
    | ~ rpoint(X14)
    | ~ rpoint(X11)
    | ~ rpoint(X13)
    | ~ rpoint(X10)
    | ~ rpoint(X12)
    | ~ rline(X7)
    | ~ rline(X9)
    | ~ ron(X2,X6)
    | ~ ron(X3,X6)
    | ~ ron(X4,X8)
    | ~ ron(X5,X8)
    | ~ ron(X1,X6) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jd2q_6o4/input.p',i_0_23) ).

cnf(i_0_17,plain,
    rpoint(esk1_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jd2q_6o4/input.p',i_0_17) ).

cnf(i_0_18,plain,
    vd1289 = esk1_0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jd2q_6o4/input.p',i_0_18) ).

cnf(i_0_9,plain,
    rpoint(vd1303),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jd2q_6o4/input.p',i_0_9) ).

cnf(i_0_11,plain,
    vd1302 = vd1303,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jd2q_6o4/input.p',i_0_11) ).

cnf(i_0_73,plain,
    ron(vd1289,vd1297),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jd2q_6o4/input.p',i_0_73) ).

cnf(i_0_75,plain,
    rline(vd1297),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jd2q_6o4/input.p',i_0_75) ).

cnf(i_0_15,plain,
    rpoint(esk2_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jd2q_6o4/input.p',i_0_15) ).

cnf(i_0_16,plain,
    vd1288 = esk2_0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jd2q_6o4/input.p',i_0_16) ).

cnf(i_0_71,plain,
    ron(vd1302,vd1297),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jd2q_6o4/input.p',i_0_71) ).

cnf(i_0_69,plain,
    ron(vd1288,vd1295),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jd2q_6o4/input.p',i_0_69) ).

cnf(i_0_78,plain,
    rline(vd1295),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jd2q_6o4/input.p',i_0_78) ).

cnf(i_0_13,plain,
    rpoint(esk3_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jd2q_6o4/input.p',i_0_13) ).

cnf(i_0_14,plain,
    vd1287 = esk3_0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jd2q_6o4/input.p',i_0_14) ).

cnf(i_0_3,plain,
    ~ rR(vd1287,vd1288,vd1329),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jd2q_6o4/input.p',i_0_3) ).

cnf(i_0_35,plain,
    ron(vd1329,vd1295),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jd2q_6o4/input.p',i_0_35) ).

cnf(i_0_77,plain,
    ron(vd1287,vd1295),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jd2q_6o4/input.p',i_0_77) ).

cnf(i_0_6,plain,
    rpoint(vd1329),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jd2q_6o4/input.p',i_0_6) ).

cnf(i_0_30,plain,
    vd1287 != vd1302,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jd2q_6o4/input.p',i_0_30) ).

cnf(i_0_20,plain,
    vd1287 != vd1289,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jd2q_6o4/input.p',i_0_20) ).

cnf(i_0_19,plain,
    vd1287 != vd1288,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jd2q_6o4/input.p',i_0_19) ).

cnf(i_0_29,plain,
    vd1329 != vd1287,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jd2q_6o4/input.p',i_0_29) ).

cnf(i_0_4,plain,
    ~ rR(vd1287,vd1289,vd1302),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jd2q_6o4/input.p',i_0_4) ).

cnf(i_0_27,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-jd2q_6o4/input.p',i_0_27) ).

cnf(i_0_300,plain,
    ( X1 = X2
    | X1 = X3
    | vangle(X1,X2,X3) = vangle(X3,X2,X1)
    | X2 != X4
    | X3 != X5
    | X1 != X6
    | ~ rpoint(X6)
    | ~ rpoint(X4)
    | ~ rpoint(X5) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jd2q_6o4/input.p',i_0_300) ).

cnf(i_0_70,plain,
    vd1329 != vd1302,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jd2q_6o4/input.p',i_0_70) ).

cnf(i_0_21,plain,
    vd1288 != vd1289,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jd2q_6o4/input.p',i_0_21) ).

cnf(i_0_1,negated_conjecture,
    vangle(vd1289,vd1287,vd1288) != vangle(vd1302,vd1287,vd1288),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jd2q_6o4/input.p',i_0_1) ).

cnf(i_0_74,plain,
    ron(vd1287,vd1297),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jd2q_6o4/input.p',i_0_74) ).

cnf(c_0_330,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
    | ~ rpoint(X14)
    | ~ rpoint(X11)
    | ~ rpoint(X13)
    | ~ rpoint(X10)
    | ~ rpoint(X12)
    | ~ rline(X7)
    | ~ rline(X9)
    | ~ ron(X2,X6)
    | ~ ron(X3,X6)
    | ~ ron(X4,X8)
    | ~ ron(X5,X8)
    | ~ ron(X1,X6) ),
    i_0_23 ).

cnf(c_0_331,plain,
    rpoint(esk1_0),
    i_0_17 ).

cnf(c_0_332,plain,
    vd1289 = esk1_0,
    i_0_18 ).

cnf(c_0_333,plain,
    rpoint(vd1303),
    i_0_9 ).

cnf(c_0_334,plain,
    vd1302 = vd1303,
    i_0_11 ).

cnf(c_0_335,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)
    | ~ rline(X6)
    | ~ rline(X7)
    | ~ rpoint(X2)
    | ~ rpoint(X5)
    | ~ rpoint(X3)
    | ~ rpoint(X4)
    | ~ rpoint(X1) ),
    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_330])])])])])])]) ).

cnf(c_0_336,plain,
    ron(vd1289,vd1297),
    i_0_73 ).

cnf(c_0_337,plain,
    rline(vd1297),
    i_0_75 ).

cnf(c_0_338,plain,
    rpoint(vd1289),
    inference(rw,[status(thm)],[c_0_331,c_0_332]) ).

cnf(c_0_339,plain,
    rpoint(esk2_0),
    i_0_15 ).

cnf(c_0_340,plain,
    vd1288 = esk2_0,
    i_0_16 ).

cnf(c_0_341,plain,
    ron(vd1302,vd1297),
    i_0_71 ).

cnf(c_0_342,plain,
    rpoint(vd1302),
    inference(rw,[status(thm)],[c_0_333,c_0_334]) ).

cnf(c_0_343,plain,
    ( vangle(X1,X2,X3) = vangle(X4,X2,vd1289)
    | X2 = vd1289
    | X2 = X1
    | X2 = X4
    | X2 = X3
    | rR(X2,vd1289,X3)
    | rR(X2,X4,X1)
    | ~ ron(X3,vd1297)
    | ~ ron(X4,X5)
    | ~ ron(X1,X5)
    | ~ ron(X2,X5)
    | ~ rline(X5)
    | ~ rpoint(X2)
    | ~ rpoint(X3)
    | ~ rpoint(X4)
    | ~ rpoint(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_335,c_0_336]),c_0_337]),c_0_338])]) ).

cnf(c_0_344,plain,
    ron(vd1288,vd1295),
    i_0_69 ).

cnf(c_0_345,plain,
    rline(vd1295),
    i_0_78 ).

cnf(c_0_346,plain,
    rpoint(vd1288),
    inference(rw,[status(thm)],[c_0_339,c_0_340]) ).

cnf(c_0_347,plain,
    ( vangle(X1,X2,X3) = vangle(X4,X2,vd1302)
    | X2 = vd1302
    | X2 = X1
    | X2 = X4
    | X2 = X3
    | rR(X2,vd1302,X3)
    | rR(X2,X4,X1)
    | ~ ron(X3,vd1297)
    | ~ ron(X4,X5)
    | ~ ron(X1,X5)
    | ~ ron(X2,X5)
    | ~ rline(X5)
    | ~ rpoint(X2)
    | ~ rpoint(X3)
    | ~ rpoint(X4)
    | ~ rpoint(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_335,c_0_341]),c_0_337]),c_0_342])]) ).

cnf(c_0_348,plain,
    ( vangle(X1,X2,X3) = vangle(vd1288,X2,vd1289)
    | X2 = vd1288
    | X2 = vd1289
    | X2 = X3
    | X2 = X1
    | rR(X2,vd1288,X1)
    | rR(X2,vd1289,X3)
    | ~ ron(X3,vd1297)
    | ~ ron(X1,vd1295)
    | ~ ron(X2,vd1295)
    | ~ 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_345]),c_0_346])]) ).

cnf(c_0_349,plain,
    rpoint(esk3_0),
    i_0_13 ).

cnf(c_0_350,plain,
    vd1287 = esk3_0,
    i_0_14 ).

cnf(c_0_351,plain,
    ( vangle(X1,X2,X3) = vangle(vd1288,X2,vd1302)
    | X2 = vd1288
    | X2 = vd1302
    | X2 = X3
    | X2 = X1
    | rR(X2,vd1288,X1)
    | rR(X2,vd1302,X3)
    | ~ ron(X3,vd1297)
    | ~ ron(X1,vd1295)
    | ~ ron(X2,vd1295)
    | ~ rpoint(X2)
    | ~ rpoint(X3)
    | ~ rpoint(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_347,c_0_344]),c_0_345]),c_0_346])]) ).

cnf(c_0_352,plain,
    ~ rR(vd1287,vd1288,vd1329),
    i_0_3 ).

cnf(c_0_353,plain,
    ( vangle(X1,X2,vd1302) = vangle(vd1288,X2,vd1289)
    | X2 = vd1302
    | X2 = vd1289
    | X2 = vd1288
    | X2 = X1
    | rR(X2,vd1289,vd1302)
    | rR(X2,vd1288,X1)
    | ~ ron(X1,vd1295)
    | ~ ron(X2,vd1295)
    | ~ rpoint(X2)
    | ~ rpoint(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_348,c_0_341]),c_0_342])]) ).

cnf(c_0_354,plain,
    ron(vd1329,vd1295),
    i_0_35 ).

cnf(c_0_355,plain,
    ron(vd1287,vd1295),
    i_0_77 ).

cnf(c_0_356,plain,
    rpoint(vd1287),
    inference(rw,[status(thm)],[c_0_349,c_0_350]) ).

cnf(c_0_357,plain,
    rpoint(vd1329),
    i_0_6 ).

cnf(c_0_358,plain,
    vd1287 != vd1302,
    i_0_30 ).

cnf(c_0_359,plain,
    vd1287 != vd1289,
    i_0_20 ).

cnf(c_0_360,plain,
    vd1287 != vd1288,
    i_0_19 ).

cnf(c_0_361,plain,
    vd1329 != vd1287,
    i_0_29 ).

cnf(c_0_362,plain,
    ~ rR(vd1287,vd1289,vd1302),
    i_0_4 ).

cnf(c_0_363,plain,
    ( X1 != X2
    | X3 != X4
    | X5 != X6
    | X5 != X3
    | ~ rpoint(X6)
    | ~ rpoint(X2)
    | ~ rpoint(X4)
    | ~ rR(X1,X5,X3) ),
    i_0_27 ).

cnf(c_0_364,plain,
    ( vangle(X1,X2,vd1302) = vangle(vd1288,X2,vd1302)
    | X2 = vd1302
    | X2 = vd1288
    | X2 = X1
    | rR(X2,vd1302,vd1302)
    | rR(X2,vd1288,X1)
    | ~ ron(X1,vd1295)
    | ~ ron(X2,vd1295)
    | ~ rpoint(X2)
    | ~ rpoint(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_351,c_0_341]),c_0_342])]) ).

cnf(c_0_365,plain,
    vangle(vd1329,vd1287,vd1302) = vangle(vd1288,vd1287,vd1289),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_352,c_0_353]),c_0_354]),c_0_355]),c_0_356]),c_0_357])]),c_0_358]),c_0_359]),c_0_360]),c_0_361]),c_0_362]) ).

cnf(c_0_366,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_363])])])]) ).

cnf(c_0_367,plain,
    ( vangle(vd1288,vd1287,vd1289) = vangle(vd1288,vd1287,vd1302)
    | rR(vd1287,vd1302,vd1302) ),
    inference(sr,[status(thm)],[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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_352,c_0_364]),c_0_365]),c_0_354]),c_0_355]),c_0_356]),c_0_357])]),c_0_358]),c_0_360]),c_0_361]) ).

cnf(c_0_368,plain,
    vangle(vd1288,vd1287,vd1289) = vangle(vd1288,vd1287,vd1302),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_366,c_0_367]),c_0_342]),c_0_356])]) ).

cnf(c_0_369,plain,
    ( X1 = X2
    | X1 = X3
    | vangle(X1,X2,X3) = vangle(X3,X2,X1)
    | X2 != X4
    | X3 != X5
    | X1 != X6
    | ~ rpoint(X6)
    | ~ rpoint(X4)
    | ~ rpoint(X5) ),
    i_0_300 ).

cnf(c_0_370,plain,
    ( vangle(X1,X2,X3) = vangle(X4,X2,vd1288)
    | X2 = vd1288
    | X2 = X1
    | X2 = X4
    | X2 = X3
    | rR(X2,vd1288,X3)
    | rR(X2,X4,X1)
    | ~ ron(X3,vd1295)
    | ~ ron(X4,X5)
    | ~ ron(X1,X5)
    | ~ ron(X2,X5)
    | ~ rline(X5)
    | ~ rpoint(X2)
    | ~ rpoint(X3)
    | ~ rpoint(X4)
    | ~ rpoint(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_335,c_0_344]),c_0_345]),c_0_346])]) ).

cnf(c_0_371,plain,
    vangle(vd1329,vd1287,vd1302) = vangle(vd1288,vd1287,vd1302),
    inference(rw,[status(thm)],[c_0_365,c_0_368]) ).

cnf(c_0_372,plain,
    ( vangle(X1,X2,X3) = vangle(X3,X2,X1)
    | X1 = X3
    | X1 = X2
    | ~ rpoint(X1)
    | ~ rpoint(X3)
    | ~ rpoint(X2) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_369])])]) ).

cnf(c_0_373,plain,
    vd1329 != vd1302,
    i_0_70 ).

cnf(c_0_374,plain,
    ( vangle(X1,X2,X3) = vangle(vd1289,X2,vd1288)
    | X2 = vd1289
    | X2 = vd1288
    | X2 = X3
    | X2 = X1
    | rR(X2,vd1289,X1)
    | rR(X2,vd1288,X3)
    | ~ ron(X3,vd1295)
    | ~ ron(X1,vd1297)
    | ~ ron(X2,vd1297)
    | ~ rpoint(X2)
    | ~ rpoint(X3)
    | ~ rpoint(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_370,c_0_336]),c_0_337]),c_0_338])]) ).

cnf(c_0_375,plain,
    vangle(vd1288,vd1287,vd1302) = vangle(vd1302,vd1287,vd1329),
    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_371,c_0_372]),c_0_342]),c_0_357]),c_0_356])]),c_0_373]),c_0_358]) ).

cnf(c_0_376,plain,
    ( vangle(X1,X2,vd1288) = vangle(vd1289,X2,vd1288)
    | X2 = vd1288
    | X2 = vd1289
    | X2 = X1
    | rR(X2,vd1288,vd1288)
    | rR(X2,vd1289,X1)
    | ~ ron(X1,vd1297)
    | ~ ron(X2,vd1297)
    | ~ rpoint(X2)
    | ~ rpoint(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_374,c_0_344]),c_0_346])]) ).

cnf(c_0_377,plain,
    vangle(vd1288,vd1287,vd1289) = vangle(vd1302,vd1287,vd1329),
    inference(rw,[status(thm)],[c_0_368,c_0_375]) ).

cnf(c_0_378,plain,
    vd1288 != vd1289,
    i_0_21 ).

cnf(c_0_379,plain,
    ( vangle(vd1289,X1,vd1288) = vangle(vd1302,X1,vd1288)
    | X1 = vd1302
    | X1 = vd1289
    | X1 = vd1288
    | rR(X1,vd1289,vd1302)
    | rR(X1,vd1288,vd1288)
    | ~ ron(X1,vd1297)
    | ~ rpoint(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_376,c_0_341]),c_0_342])]) ).

cnf(c_0_380,negated_conjecture,
    vangle(vd1289,vd1287,vd1288) != vangle(vd1302,vd1287,vd1288),
    i_0_1 ).

cnf(c_0_381,plain,
    vangle(vd1289,vd1287,vd1288) = vangle(vd1302,vd1287,vd1329),
    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_372,c_0_377]),c_0_346]),c_0_338]),c_0_356])]),c_0_378]),c_0_360]) ).

cnf(c_0_382,plain,
    ( vangle(vd1289,X1,vd1288) = vangle(vd1302,X1,vd1288)
    | X1 = vd1288
    | X1 = vd1289
    | X1 = vd1302
    | rR(X1,vd1289,vd1302)
    | ~ ron(X1,vd1297)
    | ~ rpoint(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_366,c_0_379]),c_0_346])]) ).

cnf(c_0_383,plain,
    ron(vd1287,vd1297),
    i_0_74 ).

cnf(c_0_384,negated_conjecture,
    vangle(vd1302,vd1287,vd1329) != vangle(vd1302,vd1287,vd1288),
    inference(rw,[status(thm)],[c_0_380,c_0_381]) ).

cnf(c_0_385,plain,
    $false,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[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_362,c_0_382]),c_0_381]),c_0_383]),c_0_356])]),c_0_384]),c_0_360]),c_0_359]),c_0_358]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : GEO321+1 : TPTP v8.1.0. Released v4.1.0.
% 0.12/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.34  % Computer : n026.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
% 0.19/0.34  % WCLimit  : 600
% 0.19/0.34  % DateTime : Sat Jun 18 18:46:11 EDT 2022
% 0.19/0.34  % CPUTime  : 
% 0.19/0.45  # ENIGMATIC: Selected complete mode:
% 25.58/4.76  # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d45-l8000-e0.15+coop-mzr02:
% 25.58/4.76  # ENIGMA: LightGBM model '/export/starexec/sandbox2/solver/bin/data/Enigma/tptp-cade20-model03-h2e15/lgb-t150-d45-l8000-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 20; version: 991; iters: 150)
% 25.58/4.76  # Preprocessing time       : 1.237 s
% 25.58/4.76  
% 25.58/4.76  # Proof found!
% 25.58/4.76  # SZS status Theorem
% 25.58/4.76  # SZS output start CNFRefutation
% See solution above
% 25.58/4.76  # Training examples: 0 positive, 0 negative
% 25.58/4.76  
% 25.58/4.76  # -------------------------------------------------
% 25.58/4.76  # User time                : 2.208 s
% 25.58/4.76  # System time              : 0.142 s
% 25.58/4.76  # Total time               : 2.350 s
% 25.58/4.76  # ...preprocessing         : 1.237 s
% 25.58/4.76  # ...main loop             : 1.114 s
% 25.58/4.76  # Maximum resident set size: 176052 pages
% 25.58/4.76  
%------------------------------------------------------------------------------