TSTP Solution File: GEO169+1 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : GEO169+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% 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 03:43:51 EDT 2022
% Result : Theorem 14.09s 3.24s
% Output : CNFRefutation 14.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 60
% Number of leaves : 49
% Syntax : Number of clauses : 544 ( 100 unt; 120 nHn; 544 RR)
% Number of literals : 1332 ( 0 equ; 723 neg)
% Maximal clause size : 7 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 2 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 19 con; 0-0 aty)
% Number of variables : 254 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_50,plain,
( line_equal(X1,X2)
| point_equal(X3,X4)
| ~ incident(X4,X2)
| ~ incident(X4,X1)
| ~ incident(X3,X2)
| ~ incident(X3,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ejynbjsi/lgb.p',i_0_50) ).
cnf(i_0_18,plain,
incident(b2,b2c2),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ejynbjsi/lgb.p',i_0_18) ).
cnf(i_0_35,plain,
( goal
| ~ incident(a2,X1)
| ~ incident(b2,X1)
| ~ incident(c2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ejynbjsi/lgb.p',i_0_35) ).
cnf(i_0_51,negated_conjecture,
~ goal,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ejynbjsi/lgb.p',i_0_51) ).
cnf(i_0_48,plain,
( incident(X1,X2)
| ~ incident(X3,X2)
| ~ point_equal(X1,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ejynbjsi/lgb.p',i_0_48) ).
cnf(i_0_14,plain,
incident(c2,a2c2),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ejynbjsi/lgb.p',i_0_14) ).
cnf(i_0_27,plain,
incident(c2,oc),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ejynbjsi/lgb.p',i_0_27) ).
cnf(i_0_17,plain,
incident(c2,b2c2),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ejynbjsi/lgb.p',i_0_17) ).
cnf(i_0_13,plain,
incident(a2,a2c2),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ejynbjsi/lgb.p',i_0_13) ).
cnf(i_0_10,plain,
incident(b2,a2b2),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ejynbjsi/lgb.p',i_0_10) ).
cnf(i_0_29,plain,
incident(bc,b2c2),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ejynbjsi/lgb.p',i_0_29) ).
cnf(i_0_39,plain,
( goal
| ~ line_equal(b1c1,b2c2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ejynbjsi/lgb.p',i_0_39) ).
cnf(i_0_23,plain,
incident(a2,oa),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ejynbjsi/lgb.p',i_0_23) ).
cnf(i_0_9,plain,
incident(a2,a2b2),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ejynbjsi/lgb.p',i_0_9) ).
cnf(i_0_25,plain,
incident(b2,ob),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ejynbjsi/lgb.p',i_0_25) ).
cnf(i_0_12,plain,
incident(c1,a1c1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ejynbjsi/lgb.p',i_0_12) ).
cnf(i_0_15,plain,
incident(c1,b1c1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ejynbjsi/lgb.p',i_0_15) ).
cnf(i_0_28,plain,
incident(bc,b1c1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ejynbjsi/lgb.p',i_0_28) ).
cnf(i_0_33,plain,
incident(ab,a2b2),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ejynbjsi/lgb.p',i_0_33) ).
cnf(i_0_41,plain,
( goal
| ~ line_equal(a1b1,a2b2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ejynbjsi/lgb.p',i_0_41) ).
cnf(i_0_47,plain,
( line_equal(X1,X2)
| ~ line_equal(X3,X2)
| ~ line_equal(X1,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ejynbjsi/lgb.p',i_0_47) ).
cnf(i_0_38,plain,
( goal
| ~ point_equal(c2,c1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ejynbjsi/lgb.p',i_0_38) ).
cnf(i_0_1,plain,
( goal
| ~ line_equal(X1,X1)
| ~ incident(bc,X1)
| ~ incident(ac,X1)
| ~ incident(ab,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ejynbjsi/lgb.p',i_0_1) ).
cnf(i_0_45,plain,
( line_equal(X1,X1)
| ~ incident(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ejynbjsi/lgb.p',i_0_45) ).
cnf(i_0_11,plain,
incident(a1,a1c1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ejynbjsi/lgb.p',i_0_11) ).
cnf(i_0_7,plain,
incident(a1,a1b1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ejynbjsi/lgb.p',i_0_7) ).
cnf(i_0_32,plain,
incident(ab,a1b1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ejynbjsi/lgb.p',i_0_32) ).
cnf(i_0_49,plain,
( incident(X1,X2)
| ~ line_equal(X3,X2)
| ~ incident(X1,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ejynbjsi/lgb.p',i_0_49) ).
cnf(i_0_26,plain,
incident(c1,oc),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ejynbjsi/lgb.p',i_0_26) ).
cnf(i_0_30,plain,
incident(ac,a1c1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ejynbjsi/lgb.p',i_0_30) ).
cnf(i_0_46,plain,
( line_equal(X1,X2)
| ~ line_equal(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ejynbjsi/lgb.p',i_0_46) ).
cnf(i_0_19,plain,
incident(o,oa),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ejynbjsi/lgb.p',i_0_19) ).
cnf(i_0_22,plain,
incident(a1,oa),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ejynbjsi/lgb.p',i_0_22) ).
cnf(i_0_16,plain,
incident(b1,b1c1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ejynbjsi/lgb.p',i_0_16) ).
cnf(i_0_8,plain,
incident(b1,a1b1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ejynbjsi/lgb.p',i_0_8) ).
cnf(i_0_20,plain,
incident(o,ob),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ejynbjsi/lgb.p',i_0_20) ).
cnf(i_0_34,plain,
( goal
| ~ incident(a1,X1)
| ~ incident(b1,X1)
| ~ incident(c1,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ejynbjsi/lgb.p',i_0_34) ).
cnf(i_0_21,plain,
incident(o,oc),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ejynbjsi/lgb.p',i_0_21) ).
cnf(i_0_43,plain,
( point_equal(X1,X2)
| ~ point_equal(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ejynbjsi/lgb.p',i_0_43) ).
cnf(i_0_24,plain,
incident(b1,ob),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ejynbjsi/lgb.p',i_0_24) ).
cnf(i_0_37,plain,
( goal
| ~ point_equal(b2,b1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ejynbjsi/lgb.p',i_0_37) ).
cnf(i_0_31,plain,
incident(ac,a2c2),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ejynbjsi/lgb.p',i_0_31) ).
cnf(i_0_40,plain,
( goal
| ~ line_equal(a1c1,a2c2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ejynbjsi/lgb.p',i_0_40) ).
cnf(i_0_2,plain,
( goal
| ~ incident(a1,b2c2)
| ~ incident(b1,a2c2)
| ~ incident(c1,a2b2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ejynbjsi/lgb.p',i_0_2) ).
cnf(i_0_6,plain,
( incident(c1,a2b2)
| incident(a2,b1c1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ejynbjsi/lgb.p',i_0_6) ).
cnf(i_0_5,plain,
( incident(b1,a2c2)
| incident(c2,a1b1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ejynbjsi/lgb.p',i_0_5) ).
cnf(i_0_4,plain,
( incident(a1,b2c2)
| incident(b2,a1c1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ejynbjsi/lgb.p',i_0_4) ).
cnf(i_0_36,plain,
( goal
| ~ point_equal(a2,a1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ejynbjsi/lgb.p',i_0_36) ).
cnf(i_0_3,plain,
( goal
| ~ incident(a2,b1c1)
| ~ incident(b2,a1c1)
| ~ incident(c2,a1b1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ejynbjsi/lgb.p',i_0_3) ).
cnf(c_0_101,plain,
( line_equal(X1,X2)
| point_equal(X3,X4)
| ~ incident(X4,X2)
| ~ incident(X4,X1)
| ~ incident(X3,X2)
| ~ incident(X3,X1) ),
i_0_50 ).
cnf(c_0_102,plain,
incident(b2,b2c2),
i_0_18 ).
cnf(c_0_103,plain,
( goal
| ~ incident(a2,X1)
| ~ incident(b2,X1)
| ~ incident(c2,X1) ),
i_0_35 ).
cnf(c_0_104,negated_conjecture,
~ goal,
i_0_51 ).
cnf(c_0_105,plain,
( incident(X1,X2)
| ~ incident(X3,X2)
| ~ point_equal(X1,X3) ),
i_0_48 ).
cnf(c_0_106,plain,
incident(c2,a2c2),
i_0_14 ).
cnf(c_0_107,plain,
( point_equal(b2,X1)
| line_equal(X2,b2c2)
| ~ incident(X1,b2c2)
| ~ incident(b2,X2)
| ~ incident(X1,X2) ),
inference(spm,[status(thm)],[c_0_101,c_0_102]) ).
cnf(c_0_108,plain,
incident(c2,oc),
i_0_27 ).
cnf(c_0_109,plain,
incident(c2,b2c2),
i_0_17 ).
cnf(c_0_110,plain,
( ~ incident(a2,X1)
| ~ incident(b2,X1)
| ~ incident(c2,X1) ),
inference(sr,[status(thm)],[c_0_103,c_0_104]) ).
cnf(c_0_111,plain,
incident(a2,a2c2),
i_0_13 ).
cnf(c_0_112,plain,
incident(b2,a2b2),
i_0_10 ).
cnf(c_0_113,plain,
incident(bc,b2c2),
i_0_29 ).
cnf(c_0_114,plain,
( goal
| ~ line_equal(b1c1,b2c2) ),
i_0_39 ).
cnf(c_0_115,plain,
( incident(X1,a2c2)
| ~ point_equal(X1,c2) ),
inference(spm,[status(thm)],[c_0_105,c_0_106]) ).
cnf(c_0_116,plain,
( point_equal(b2,c2)
| line_equal(oc,b2c2)
| ~ incident(b2,oc) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_108]),c_0_109])]) ).
cnf(c_0_117,plain,
~ incident(b2,a2c2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_106]),c_0_111])]) ).
cnf(c_0_118,plain,
( point_equal(b2,X1)
| line_equal(X2,a2b2)
| ~ incident(X1,a2b2)
| ~ incident(b2,X2)
| ~ incident(X1,X2) ),
inference(spm,[status(thm)],[c_0_101,c_0_112]) ).
cnf(c_0_119,plain,
incident(a2,oa),
i_0_23 ).
cnf(c_0_120,plain,
incident(a2,a2b2),
i_0_9 ).
cnf(c_0_121,plain,
incident(b2,ob),
i_0_25 ).
cnf(c_0_122,plain,
incident(c1,a1c1),
i_0_12 ).
cnf(c_0_123,plain,
( point_equal(bc,X1)
| line_equal(X2,b2c2)
| ~ incident(X1,b2c2)
| ~ incident(bc,X2)
| ~ incident(X1,X2) ),
inference(spm,[status(thm)],[c_0_101,c_0_113]) ).
cnf(c_0_124,plain,
incident(c1,b1c1),
i_0_15 ).
cnf(c_0_125,plain,
incident(bc,b1c1),
i_0_28 ).
cnf(c_0_126,plain,
~ line_equal(b1c1,b2c2),
inference(sr,[status(thm)],[c_0_114,c_0_104]) ).
cnf(c_0_127,plain,
incident(ab,a2b2),
i_0_33 ).
cnf(c_0_128,plain,
( goal
| ~ line_equal(a1b1,a2b2) ),
i_0_41 ).
cnf(c_0_129,plain,
( line_equal(X1,X2)
| ~ line_equal(X3,X2)
| ~ line_equal(X1,X3) ),
i_0_47 ).
cnf(c_0_130,plain,
( line_equal(oc,b2c2)
| ~ incident(b2,oc) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_116]),c_0_117]) ).
cnf(c_0_131,plain,
( incident(X1,a2c2)
| ~ point_equal(X1,a2) ),
inference(spm,[status(thm)],[c_0_105,c_0_111]) ).
cnf(c_0_132,plain,
( point_equal(b2,a2)
| line_equal(oa,a2b2)
| ~ incident(b2,oa) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_119]),c_0_120])]) ).
cnf(c_0_133,plain,
( point_equal(b2,X1)
| line_equal(X2,ob)
| ~ incident(X1,ob)
| ~ incident(b2,X2)
| ~ incident(X1,X2) ),
inference(spm,[status(thm)],[c_0_101,c_0_121]) ).
cnf(c_0_134,plain,
( goal
| ~ point_equal(c2,c1) ),
i_0_38 ).
cnf(c_0_135,plain,
( goal
| ~ line_equal(X1,X1)
| ~ incident(bc,X1)
| ~ incident(ac,X1)
| ~ incident(ab,X1) ),
i_0_1 ).
cnf(c_0_136,plain,
( line_equal(X1,X1)
| ~ incident(X2,X1) ),
i_0_45 ).
cnf(c_0_137,plain,
( incident(X1,a1c1)
| ~ point_equal(X1,c1) ),
inference(spm,[status(thm)],[c_0_105,c_0_122]) ).
cnf(c_0_138,plain,
( point_equal(bc,c1)
| ~ incident(c1,b2c2) ),
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_139,plain,
incident(a1,a1c1),
i_0_11 ).
cnf(c_0_140,plain,
( point_equal(ab,X1)
| line_equal(X2,a2b2)
| ~ incident(X1,a2b2)
| ~ incident(ab,X2)
| ~ incident(X1,X2) ),
inference(spm,[status(thm)],[c_0_101,c_0_127]) ).
cnf(c_0_141,plain,
incident(a1,a1b1),
i_0_7 ).
cnf(c_0_142,plain,
incident(ab,a1b1),
i_0_32 ).
cnf(c_0_143,plain,
~ line_equal(a1b1,a2b2),
inference(sr,[status(thm)],[c_0_128,c_0_104]) ).
cnf(c_0_144,plain,
( incident(X1,X2)
| ~ line_equal(X3,X2)
| ~ incident(X1,X3) ),
i_0_49 ).
cnf(c_0_145,plain,
( line_equal(oc,X1)
| ~ line_equal(b2c2,X1)
| ~ incident(b2,oc) ),
inference(spm,[status(thm)],[c_0_129,c_0_130]) ).
cnf(c_0_146,plain,
( line_equal(oa,a2b2)
| ~ incident(b2,oa) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_132]),c_0_117]) ).
cnf(c_0_147,plain,
( point_equal(b2,a2)
| line_equal(a2b2,ob)
| ~ incident(a2,ob) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_120]),c_0_112])]) ).
cnf(c_0_148,plain,
( point_equal(c2,X1)
| line_equal(X2,b2c2)
| ~ incident(X1,b2c2)
| ~ incident(c2,X2)
| ~ incident(X1,X2) ),
inference(spm,[status(thm)],[c_0_101,c_0_109]) ).
cnf(c_0_149,plain,
incident(c1,oc),
i_0_26 ).
cnf(c_0_150,plain,
~ point_equal(c2,c1),
inference(sr,[status(thm)],[c_0_134,c_0_104]) ).
cnf(c_0_151,plain,
( ~ incident(ab,X1)
| ~ incident(ac,X1)
| ~ incident(bc,X1) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_135,c_0_104]),c_0_136]) ).
cnf(c_0_152,plain,
( incident(bc,a1c1)
| ~ incident(c1,b2c2) ),
inference(spm,[status(thm)],[c_0_137,c_0_138]) ).
cnf(c_0_153,plain,
incident(ac,a1c1),
i_0_30 ).
cnf(c_0_154,plain,
( incident(X1,a1c1)
| ~ point_equal(X1,a1) ),
inference(spm,[status(thm)],[c_0_105,c_0_139]) ).
cnf(c_0_155,plain,
( point_equal(ab,a1)
| ~ incident(a1,a2b2) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_141]),c_0_142])]),c_0_143]) ).
cnf(c_0_156,plain,
( incident(X1,X2)
| ~ line_equal(b2c2,X2)
| ~ incident(b2,oc)
| ~ incident(X1,oc) ),
inference(spm,[status(thm)],[c_0_144,c_0_145]) ).
cnf(c_0_157,plain,
( line_equal(oa,X1)
| ~ line_equal(a2b2,X1)
| ~ incident(b2,oa) ),
inference(spm,[status(thm)],[c_0_129,c_0_146]) ).
cnf(c_0_158,plain,
( line_equal(X1,X2)
| ~ line_equal(X2,X1) ),
i_0_46 ).
cnf(c_0_159,plain,
( line_equal(a2b2,ob)
| ~ incident(a2,ob) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_147]),c_0_117]) ).
cnf(c_0_160,plain,
( line_equal(oc,b2c2)
| ~ incident(c1,b2c2) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_149]),c_0_108])]),c_0_150]) ).
cnf(c_0_161,plain,
incident(o,oa),
i_0_19 ).
cnf(c_0_162,plain,
( ~ incident(ab,a1c1)
| ~ incident(c1,b2c2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_152]),c_0_153])]) ).
cnf(c_0_163,plain,
( incident(ab,a1c1)
| ~ incident(a1,a2b2) ),
inference(spm,[status(thm)],[c_0_154,c_0_155]) ).
cnf(c_0_164,plain,
( incident(c1,X1)
| ~ line_equal(b2c2,X1)
| ~ incident(b2,oc) ),
inference(spm,[status(thm)],[c_0_156,c_0_149]) ).
cnf(c_0_165,plain,
line_equal(b2c2,b2c2),
inference(spm,[status(thm)],[c_0_136,c_0_113]) ).
cnf(c_0_166,plain,
( incident(X1,X2)
| ~ line_equal(a2b2,X2)
| ~ incident(b2,oa)
| ~ incident(X1,oa) ),
inference(spm,[status(thm)],[c_0_144,c_0_157]) ).
cnf(c_0_167,plain,
incident(a1,oa),
i_0_22 ).
cnf(c_0_168,plain,
incident(b1,b1c1),
i_0_16 ).
cnf(c_0_169,plain,
incident(b1,a1b1),
i_0_8 ).
cnf(c_0_170,plain,
( line_equal(ob,a2b2)
| ~ incident(a2,ob) ),
inference(spm,[status(thm)],[c_0_158,c_0_159]) ).
cnf(c_0_171,plain,
( line_equal(oc,X1)
| ~ line_equal(b2c2,X1)
| ~ incident(c1,b2c2) ),
inference(spm,[status(thm)],[c_0_129,c_0_160]) ).
cnf(c_0_172,plain,
( point_equal(o,X1)
| line_equal(X2,oa)
| ~ incident(X1,oa)
| ~ incident(o,X2)
| ~ incident(X1,X2) ),
inference(spm,[status(thm)],[c_0_101,c_0_161]) ).
cnf(c_0_173,plain,
incident(o,ob),
i_0_20 ).
cnf(c_0_174,plain,
( ~ incident(c1,b2c2)
| ~ incident(a1,a2b2) ),
inference(spm,[status(thm)],[c_0_162,c_0_163]) ).
cnf(c_0_175,plain,
( incident(c1,b2c2)
| ~ incident(b2,oc) ),
inference(spm,[status(thm)],[c_0_164,c_0_165]) ).
cnf(c_0_176,plain,
( incident(a1,X1)
| ~ line_equal(a2b2,X1)
| ~ incident(b2,oa) ),
inference(spm,[status(thm)],[c_0_166,c_0_167]) ).
cnf(c_0_177,plain,
line_equal(a2b2,a2b2),
inference(spm,[status(thm)],[c_0_136,c_0_127]) ).
cnf(c_0_178,plain,
( incident(X1,b1c1)
| ~ point_equal(X1,b1) ),
inference(spm,[status(thm)],[c_0_105,c_0_168]) ).
cnf(c_0_179,plain,
( point_equal(ab,b1)
| ~ incident(b1,a2b2) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_169]),c_0_142])]),c_0_143]) ).
cnf(c_0_180,plain,
( goal
| ~ incident(a1,X1)
| ~ incident(b1,X1)
| ~ incident(c1,X1) ),
i_0_34 ).
cnf(c_0_181,plain,
( line_equal(ob,X1)
| ~ line_equal(a2b2,X1)
| ~ incident(a2,ob) ),
inference(spm,[status(thm)],[c_0_129,c_0_170]) ).
cnf(c_0_182,plain,
( incident(X1,X2)
| ~ line_equal(b2c2,X2)
| ~ incident(c1,b2c2)
| ~ incident(X1,oc) ),
inference(spm,[status(thm)],[c_0_144,c_0_171]) ).
cnf(c_0_183,plain,
incident(o,oc),
i_0_21 ).
cnf(c_0_184,plain,
( point_equal(X1,X2)
| ~ point_equal(X2,X1) ),
i_0_43 ).
cnf(c_0_185,plain,
( point_equal(o,b2)
| line_equal(ob,oa)
| ~ incident(b2,oa) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_121]),c_0_173])]) ).
cnf(c_0_186,plain,
( ~ incident(a1,a2b2)
| ~ incident(b2,oc) ),
inference(spm,[status(thm)],[c_0_174,c_0_175]) ).
cnf(c_0_187,plain,
( incident(a1,a2b2)
| ~ incident(b2,oa) ),
inference(spm,[status(thm)],[c_0_176,c_0_177]) ).
cnf(c_0_188,plain,
( incident(ab,b1c1)
| ~ incident(b1,a2b2) ),
inference(spm,[status(thm)],[c_0_178,c_0_179]) ).
cnf(c_0_189,plain,
( ~ incident(a1,X1)
| ~ incident(b1,X1)
| ~ incident(c1,X1) ),
inference(sr,[status(thm)],[c_0_180,c_0_104]) ).
cnf(c_0_190,plain,
( incident(X1,X2)
| ~ line_equal(a2b2,X2)
| ~ incident(a2,ob)
| ~ incident(X1,ob) ),
inference(spm,[status(thm)],[c_0_144,c_0_181]) ).
cnf(c_0_191,plain,
incident(b1,ob),
i_0_24 ).
cnf(c_0_192,plain,
( point_equal(b2,c2)
| line_equal(b2c2,ob)
| ~ incident(c2,ob) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_109]),c_0_102])]) ).
cnf(c_0_193,plain,
( point_equal(b1,X1)
| line_equal(X2,b1c1)
| ~ incident(X1,b1c1)
| ~ incident(b1,X2)
| ~ incident(X1,X2) ),
inference(spm,[status(thm)],[c_0_101,c_0_168]) ).
cnf(c_0_194,plain,
( incident(o,X1)
| ~ line_equal(b2c2,X1)
| ~ incident(c1,b2c2) ),
inference(spm,[status(thm)],[c_0_182,c_0_183]) ).
cnf(c_0_195,plain,
( incident(X1,oc)
| ~ point_equal(X1,o) ),
inference(spm,[status(thm)],[c_0_105,c_0_183]) ).
cnf(c_0_196,plain,
( point_equal(b2,o)
| line_equal(ob,oa)
| ~ incident(b2,oa) ),
inference(spm,[status(thm)],[c_0_184,c_0_185]) ).
cnf(c_0_197,plain,
( ~ incident(b2,oc)
| ~ incident(b2,oa) ),
inference(spm,[status(thm)],[c_0_186,c_0_187]) ).
cnf(c_0_198,plain,
( incident(X1,b1c1)
| ~ point_equal(X1,ab)
| ~ incident(b1,a2b2) ),
inference(spm,[status(thm)],[c_0_105,c_0_188]) ).
cnf(c_0_199,plain,
( point_equal(a1,ab)
| ~ incident(a1,a2b2) ),
inference(spm,[status(thm)],[c_0_184,c_0_155]) ).
cnf(c_0_200,plain,
~ incident(a1,b1c1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_124]),c_0_168])]) ).
cnf(c_0_201,plain,
( incident(b1,X1)
| ~ line_equal(a2b2,X1)
| ~ incident(a2,ob) ),
inference(spm,[status(thm)],[c_0_190,c_0_191]) ).
cnf(c_0_202,plain,
( line_equal(b2c2,ob)
| ~ incident(c2,ob) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_192]),c_0_117]) ).
cnf(c_0_203,plain,
( point_equal(b1,c1)
| line_equal(oc,b1c1)
| ~ incident(b1,oc) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_193,c_0_149]),c_0_124])]) ).
cnf(c_0_204,plain,
~ incident(b1,a1c1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_122]),c_0_139])]) ).
cnf(c_0_205,plain,
( point_equal(a2,X1)
| line_equal(X2,a2c2)
| ~ incident(X1,a2c2)
| ~ incident(a2,X2)
| ~ incident(X1,X2) ),
inference(spm,[status(thm)],[c_0_101,c_0_111]) ).
cnf(c_0_206,plain,
( incident(o,b2c2)
| ~ incident(c1,b2c2) ),
inference(spm,[status(thm)],[c_0_194,c_0_165]) ).
cnf(c_0_207,plain,
( line_equal(a2b2,oa)
| ~ incident(b2,oa) ),
inference(spm,[status(thm)],[c_0_158,c_0_146]) ).
cnf(c_0_208,plain,
( line_equal(ob,oa)
| ~ incident(b2,oa) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_195,c_0_196]),c_0_197]) ).
cnf(c_0_209,plain,
( ~ incident(b1,a2b2)
| ~ incident(a1,a2b2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_198,c_0_199]),c_0_200]) ).
cnf(c_0_210,plain,
( incident(b1,a2b2)
| ~ incident(a2,ob) ),
inference(spm,[status(thm)],[c_0_201,c_0_177]) ).
cnf(c_0_211,plain,
( line_equal(ob,b2c2)
| ~ incident(c2,ob) ),
inference(spm,[status(thm)],[c_0_158,c_0_202]) ).
cnf(c_0_212,plain,
( line_equal(oc,b1c1)
| ~ incident(b1,oc) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_203]),c_0_204]) ).
cnf(c_0_213,plain,
( goal
| ~ point_equal(b2,b1) ),
i_0_37 ).
cnf(c_0_214,plain,
incident(ac,a2c2),
i_0_31 ).
cnf(c_0_215,plain,
( goal
| ~ line_equal(a1c1,a2c2) ),
i_0_40 ).
cnf(c_0_216,plain,
( incident(X1,b2c2)
| ~ point_equal(X1,c2) ),
inference(spm,[status(thm)],[c_0_105,c_0_109]) ).
cnf(c_0_217,plain,
( point_equal(a2,c2)
| line_equal(oc,a2c2)
| ~ incident(a2,oc) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_205,c_0_108]),c_0_106])]) ).
cnf(c_0_218,plain,
~ incident(a2,b2c2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_109]),c_0_102])]) ).
cnf(c_0_219,plain,
( incident(X1,oa)
| ~ point_equal(X1,o) ),
inference(spm,[status(thm)],[c_0_105,c_0_161]) ).
cnf(c_0_220,plain,
( point_equal(b2,o)
| line_equal(b2c2,ob)
| ~ incident(c1,b2c2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_206]),c_0_173]),c_0_102])]) ).
cnf(c_0_221,plain,
( line_equal(a2b2,X1)
| ~ line_equal(oa,X1)
| ~ incident(b2,oa) ),
inference(spm,[status(thm)],[c_0_129,c_0_207]) ).
cnf(c_0_222,plain,
( line_equal(oa,ob)
| ~ incident(b2,oa) ),
inference(spm,[status(thm)],[c_0_158,c_0_208]) ).
cnf(c_0_223,plain,
( ~ incident(a1,a2b2)
| ~ incident(a2,ob) ),
inference(spm,[status(thm)],[c_0_209,c_0_210]) ).
cnf(c_0_224,plain,
( line_equal(ob,X1)
| ~ line_equal(b2c2,X1)
| ~ incident(c2,ob) ),
inference(spm,[status(thm)],[c_0_129,c_0_211]) ).
cnf(c_0_225,plain,
( line_equal(b1c1,oc)
| ~ incident(b1,oc) ),
inference(spm,[status(thm)],[c_0_158,c_0_212]) ).
cnf(c_0_226,plain,
~ point_equal(b2,b1),
inference(sr,[status(thm)],[c_0_213,c_0_104]) ).
cnf(c_0_227,plain,
( point_equal(ac,X1)
| line_equal(X2,a2c2)
| ~ incident(X1,a2c2)
| ~ incident(ac,X2)
| ~ incident(X1,X2) ),
inference(spm,[status(thm)],[c_0_101,c_0_214]) ).
cnf(c_0_228,plain,
~ line_equal(a1c1,a2c2),
inference(sr,[status(thm)],[c_0_215,c_0_104]) ).
cnf(c_0_229,plain,
( line_equal(oc,a2c2)
| ~ incident(a2,oc) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_217]),c_0_218]) ).
cnf(c_0_230,plain,
( line_equal(b2c2,ob)
| incident(b2,oa)
| ~ incident(c1,b2c2) ),
inference(spm,[status(thm)],[c_0_219,c_0_220]) ).
cnf(c_0_231,plain,
( incident(a2,X1)
| ~ line_equal(a2b2,X1)
| ~ incident(b2,oa) ),
inference(spm,[status(thm)],[c_0_166,c_0_119]) ).
cnf(c_0_232,plain,
( line_equal(a2b2,ob)
| ~ incident(b2,oa) ),
inference(spm,[status(thm)],[c_0_221,c_0_222]) ).
cnf(c_0_233,plain,
( ~ incident(a2,ob)
| ~ incident(b2,oa) ),
inference(spm,[status(thm)],[c_0_223,c_0_187]) ).
cnf(c_0_234,plain,
( incident(X1,X2)
| ~ line_equal(b2c2,X2)
| ~ incident(c2,ob)
| ~ incident(X1,ob) ),
inference(spm,[status(thm)],[c_0_144,c_0_224]) ).
cnf(c_0_235,plain,
( line_equal(b1c1,X1)
| ~ line_equal(oc,X1)
| ~ incident(b1,oc) ),
inference(spm,[status(thm)],[c_0_129,c_0_225]) ).
cnf(c_0_236,plain,
( line_equal(ob,b2c2)
| ~ incident(b1,b2c2) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_191]),c_0_121])]),c_0_226]) ).
cnf(c_0_237,plain,
( incident(X1,b1c1)
| ~ point_equal(X1,c1) ),
inference(spm,[status(thm)],[c_0_105,c_0_124]) ).
cnf(c_0_238,plain,
( point_equal(ac,c1)
| ~ incident(c1,a2c2) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_227,c_0_122]),c_0_153])]),c_0_228]) ).
cnf(c_0_239,plain,
( line_equal(oc,X1)
| ~ line_equal(a2c2,X1)
| ~ incident(a2,oc) ),
inference(spm,[status(thm)],[c_0_129,c_0_229]) ).
cnf(c_0_240,plain,
( line_equal(ob,b2c2)
| incident(b2,oa)
| ~ incident(c1,b2c2) ),
inference(spm,[status(thm)],[c_0_158,c_0_230]) ).
cnf(c_0_241,plain,
~ incident(b2,oa),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_231,c_0_232]),c_0_233]) ).
cnf(c_0_242,plain,
( incident(b1,X1)
| ~ line_equal(b2c2,X1)
| ~ incident(c2,ob) ),
inference(spm,[status(thm)],[c_0_234,c_0_191]) ).
cnf(c_0_243,plain,
( line_equal(b2c2,oc)
| ~ incident(c1,b2c2) ),
inference(spm,[status(thm)],[c_0_158,c_0_160]) ).
cnf(c_0_244,plain,
( ~ incident(b1,oc)
| ~ incident(c1,b2c2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_235,c_0_160]),c_0_126]) ).
cnf(c_0_245,plain,
( line_equal(ob,X1)
| ~ line_equal(b2c2,X1)
| ~ incident(b1,b2c2) ),
inference(spm,[status(thm)],[c_0_129,c_0_236]) ).
cnf(c_0_246,plain,
( ~ incident(ab,b1c1)
| ~ incident(ac,b1c1) ),
inference(spm,[status(thm)],[c_0_151,c_0_125]) ).
cnf(c_0_247,plain,
( incident(ac,b1c1)
| ~ incident(c1,a2c2) ),
inference(spm,[status(thm)],[c_0_237,c_0_238]) ).
cnf(c_0_248,plain,
( incident(X1,X2)
| ~ line_equal(a2c2,X2)
| ~ incident(a2,oc)
| ~ incident(X1,oc) ),
inference(spm,[status(thm)],[c_0_144,c_0_239]) ).
cnf(c_0_249,plain,
( point_equal(o,X1)
| line_equal(X2,oc)
| ~ incident(X1,oc)
| ~ incident(o,X2)
| ~ incident(X1,X2) ),
inference(spm,[status(thm)],[c_0_101,c_0_183]) ).
cnf(c_0_250,plain,
( incident(c2,X1)
| ~ line_equal(b2c2,X1)
| ~ incident(c1,b2c2) ),
inference(spm,[status(thm)],[c_0_182,c_0_108]) ).
cnf(c_0_251,plain,
( line_equal(b2c2,ob)
| ~ incident(c1,b2c2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_240]),c_0_241]) ).
cnf(c_0_252,plain,
( ~ incident(c2,ob)
| ~ incident(c1,b2c2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_242,c_0_243]),c_0_244]) ).
cnf(c_0_253,plain,
( incident(X1,X2)
| ~ line_equal(b2c2,X2)
| ~ incident(b1,b2c2)
| ~ incident(X1,ob) ),
inference(spm,[status(thm)],[c_0_144,c_0_245]) ).
cnf(c_0_254,plain,
( ~ incident(ab,b1c1)
| ~ incident(c1,a2c2) ),
inference(spm,[status(thm)],[c_0_246,c_0_247]) ).
cnf(c_0_255,plain,
( incident(c1,X1)
| ~ line_equal(a2c2,X1)
| ~ incident(a2,oc) ),
inference(spm,[status(thm)],[c_0_248,c_0_149]) ).
cnf(c_0_256,plain,
line_equal(a2c2,a2c2),
inference(spm,[status(thm)],[c_0_136,c_0_214]) ).
cnf(c_0_257,plain,
( point_equal(o,c2)
| line_equal(b2c2,oc)
| ~ incident(o,b2c2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_249,c_0_109]),c_0_108])]) ).
cnf(c_0_258,plain,
~ incident(c1,b2c2),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_250,c_0_251]),c_0_252]) ).
cnf(c_0_259,plain,
( incident(o,X1)
| ~ line_equal(b2c2,X1)
| ~ incident(b1,b2c2) ),
inference(spm,[status(thm)],[c_0_253,c_0_173]) ).
cnf(c_0_260,plain,
( point_equal(o,a2)
| line_equal(a2b2,oa)
| ~ incident(o,a2b2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_120]),c_0_119])]) ).
cnf(c_0_261,plain,
( ~ incident(c1,a2c2)
| ~ incident(b1,a2b2) ),
inference(spm,[status(thm)],[c_0_254,c_0_188]) ).
cnf(c_0_262,plain,
( incident(c1,a2c2)
| ~ incident(a2,oc) ),
inference(spm,[status(thm)],[c_0_255,c_0_256]) ).
cnf(c_0_263,plain,
( incident(b2,X1)
| ~ line_equal(b2c2,X1)
| ~ incident(b1,b2c2) ),
inference(spm,[status(thm)],[c_0_253,c_0_121]) ).
cnf(c_0_264,plain,
( line_equal(b2c2,oc)
| incident(o,a2c2)
| ~ incident(o,b2c2) ),
inference(spm,[status(thm)],[c_0_115,c_0_257]) ).
cnf(c_0_265,plain,
~ incident(b2,oc),
inference(spm,[status(thm)],[c_0_258,c_0_175]) ).
cnf(c_0_266,plain,
( incident(o,b2c2)
| ~ incident(b1,b2c2) ),
inference(spm,[status(thm)],[c_0_259,c_0_165]) ).
cnf(c_0_267,plain,
( point_equal(a2,o)
| line_equal(a2b2,oa)
| ~ incident(o,a2b2) ),
inference(spm,[status(thm)],[c_0_184,c_0_260]) ).
cnf(c_0_268,plain,
( incident(o,X1)
| ~ line_equal(a2b2,X1)
| ~ incident(a2,ob) ),
inference(spm,[status(thm)],[c_0_190,c_0_173]) ).
cnf(c_0_269,plain,
( ~ incident(b1,a2b2)
| ~ incident(a2,oc) ),
inference(spm,[status(thm)],[c_0_261,c_0_262]) ).
cnf(c_0_270,plain,
( point_equal(a2,X1)
| line_equal(X2,oa)
| ~ incident(X1,oa)
| ~ incident(a2,X2)
| ~ incident(X1,X2) ),
inference(spm,[status(thm)],[c_0_101,c_0_119]) ).
cnf(c_0_271,plain,
( incident(o,a2c2)
| ~ incident(b1,b2c2) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_263,c_0_264]),c_0_265]),c_0_266]) ).
cnf(c_0_272,plain,
( incident(b2,X1)
| ~ line_equal(a2b2,X1)
| ~ incident(a2,ob) ),
inference(spm,[status(thm)],[c_0_190,c_0_121]) ).
cnf(c_0_273,plain,
( line_equal(a2b2,oa)
| incident(a2,oc)
| ~ incident(o,a2b2) ),
inference(spm,[status(thm)],[c_0_195,c_0_267]) ).
cnf(c_0_274,plain,
( incident(o,a2b2)
| ~ incident(a2,ob) ),
inference(spm,[status(thm)],[c_0_268,c_0_177]) ).
cnf(c_0_275,plain,
( ~ incident(a2,oc)
| ~ incident(a2,ob) ),
inference(spm,[status(thm)],[c_0_269,c_0_210]) ).
cnf(c_0_276,plain,
( point_equal(o,a2)
| line_equal(oa,oc)
| ~ incident(a2,oc) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_249,c_0_119]),c_0_161])]) ).
cnf(c_0_277,plain,
( incident(X1,ob)
| ~ point_equal(X1,o) ),
inference(spm,[status(thm)],[c_0_105,c_0_173]) ).
cnf(c_0_278,plain,
( point_equal(a2,o)
| line_equal(a2c2,oa)
| ~ incident(b1,b2c2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_270,c_0_271]),c_0_161]),c_0_111])]) ).
cnf(c_0_279,plain,
~ incident(a2,ob),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_272,c_0_273]),c_0_241]),c_0_274]),c_0_275]) ).
cnf(c_0_280,plain,
( point_equal(a1,X1)
| line_equal(X2,oa)
| ~ incident(X1,oa)
| ~ incident(a1,X2)
| ~ incident(X1,X2) ),
inference(spm,[status(thm)],[c_0_101,c_0_167]) ).
cnf(c_0_281,plain,
( point_equal(a2,o)
| line_equal(oa,oc)
| ~ incident(a2,oc) ),
inference(spm,[status(thm)],[c_0_184,c_0_276]) ).
cnf(c_0_282,plain,
( line_equal(a2c2,oa)
| ~ incident(b1,b2c2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_277,c_0_278]),c_0_279]) ).
cnf(c_0_283,plain,
( point_equal(a1,c1)
| line_equal(a1c1,oa)
| ~ incident(c1,oa) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_280,c_0_122]),c_0_139])]) ).
cnf(c_0_284,plain,
( line_equal(a2c2,oc)
| ~ incident(a2,oc) ),
inference(spm,[status(thm)],[c_0_158,c_0_229]) ).
cnf(c_0_285,plain,
( line_equal(oa,oc)
| ~ incident(a2,oc) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_277,c_0_281]),c_0_279]) ).
cnf(c_0_286,plain,
( line_equal(oa,a2c2)
| ~ incident(b1,b2c2) ),
inference(spm,[status(thm)],[c_0_158,c_0_282]) ).
cnf(c_0_287,plain,
( incident(X1,a1b1)
| ~ point_equal(X1,b1) ),
inference(spm,[status(thm)],[c_0_105,c_0_169]) ).
cnf(c_0_288,plain,
( point_equal(bc,b1)
| ~ incident(b1,b2c2) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_168]),c_0_125])]),c_0_126]) ).
cnf(c_0_289,plain,
( line_equal(a1c1,oa)
| ~ incident(c1,oa) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_237,c_0_283]),c_0_200]) ).
cnf(c_0_290,plain,
( line_equal(a2c2,X1)
| ~ line_equal(oc,X1)
| ~ incident(a2,oc) ),
inference(spm,[status(thm)],[c_0_129,c_0_284]) ).
cnf(c_0_291,plain,
( line_equal(oc,oa)
| ~ incident(a2,oc) ),
inference(spm,[status(thm)],[c_0_158,c_0_285]) ).
cnf(c_0_292,plain,
( line_equal(oa,X1)
| ~ line_equal(a2c2,X1)
| ~ incident(b1,b2c2) ),
inference(spm,[status(thm)],[c_0_129,c_0_286]) ).
cnf(c_0_293,plain,
( incident(bc,a1b1)
| ~ incident(b1,b2c2) ),
inference(spm,[status(thm)],[c_0_287,c_0_288]) ).
cnf(c_0_294,plain,
( incident(X1,a1b1)
| ~ point_equal(X1,a1) ),
inference(spm,[status(thm)],[c_0_105,c_0_141]) ).
cnf(c_0_295,plain,
( point_equal(ac,a1)
| ~ incident(a1,a2c2) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_227,c_0_139]),c_0_153])]),c_0_228]) ).
cnf(c_0_296,plain,
( line_equal(oa,a1c1)
| ~ incident(c1,oa) ),
inference(spm,[status(thm)],[c_0_158,c_0_289]) ).
cnf(c_0_297,plain,
( point_equal(o,c1)
| line_equal(oc,oa)
| ~ incident(c1,oa) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_149]),c_0_183])]) ).
cnf(c_0_298,plain,
( line_equal(a2c2,oa)
| ~ incident(a2,oc) ),
inference(spm,[status(thm)],[c_0_290,c_0_291]) ).
cnf(c_0_299,plain,
( point_equal(bc,X1)
| line_equal(X2,b1c1)
| ~ incident(X1,b1c1)
| ~ incident(bc,X2)
| ~ incident(X1,X2) ),
inference(spm,[status(thm)],[c_0_101,c_0_125]) ).
cnf(c_0_300,plain,
( incident(X1,X2)
| ~ line_equal(a2c2,X2)
| ~ incident(b1,b2c2)
| ~ incident(X1,oa) ),
inference(spm,[status(thm)],[c_0_144,c_0_292]) ).
cnf(c_0_301,plain,
( ~ incident(ac,a1b1)
| ~ incident(b1,b2c2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_293]),c_0_142])]) ).
cnf(c_0_302,plain,
( incident(ac,a1b1)
| ~ incident(a1,a2c2) ),
inference(spm,[status(thm)],[c_0_294,c_0_295]) ).
cnf(c_0_303,plain,
( line_equal(oa,X1)
| ~ line_equal(a1c1,X1)
| ~ incident(c1,oa) ),
inference(spm,[status(thm)],[c_0_129,c_0_296]) ).
cnf(c_0_304,plain,
( line_equal(oc,oa)
| incident(o,b1c1)
| ~ incident(c1,oa) ),
inference(spm,[status(thm)],[c_0_237,c_0_297]) ).
cnf(c_0_305,plain,
( line_equal(a1c1,X1)
| ~ line_equal(oa,X1)
| ~ incident(c1,oa) ),
inference(spm,[status(thm)],[c_0_129,c_0_289]) ).
cnf(c_0_306,plain,
( line_equal(oa,a2c2)
| ~ incident(a2,oc) ),
inference(spm,[status(thm)],[c_0_158,c_0_298]) ).
cnf(c_0_307,plain,
( point_equal(bc,b1)
| line_equal(ob,b1c1)
| ~ incident(bc,ob) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_299,c_0_191]),c_0_168])]) ).
cnf(c_0_308,plain,
( incident(a1,X1)
| ~ line_equal(a2c2,X1)
| ~ incident(b1,b2c2) ),
inference(spm,[status(thm)],[c_0_300,c_0_167]) ).
cnf(c_0_309,plain,
( ~ incident(b1,b2c2)
| ~ incident(a1,a2c2) ),
inference(spm,[status(thm)],[c_0_301,c_0_302]) ).
cnf(c_0_310,plain,
( incident(X1,X2)
| ~ line_equal(a1c1,X2)
| ~ incident(c1,oa)
| ~ incident(X1,oa) ),
inference(spm,[status(thm)],[c_0_144,c_0_303]) ).
cnf(c_0_311,plain,
( line_equal(oa,oc)
| incident(o,b1c1)
| ~ incident(c1,oa) ),
inference(spm,[status(thm)],[c_0_158,c_0_304]) ).
cnf(c_0_312,plain,
( ~ incident(c1,oa)
| ~ incident(a2,oc) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_305,c_0_306]),c_0_228]) ).
cnf(c_0_313,plain,
( incident(X1,b2c2)
| ~ point_equal(X1,bc) ),
inference(spm,[status(thm)],[c_0_105,c_0_113]) ).
cnf(c_0_314,plain,
( point_equal(b1,bc)
| line_equal(ob,b1c1)
| ~ incident(bc,ob) ),
inference(spm,[status(thm)],[c_0_184,c_0_307]) ).
cnf(c_0_315,plain,
~ incident(b1,b2c2),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_308,c_0_256]),c_0_309]) ).
cnf(c_0_316,plain,
( incident(o,X1)
| ~ line_equal(a1c1,X1)
| ~ incident(c1,oa) ),
inference(spm,[status(thm)],[c_0_310,c_0_161]) ).
cnf(c_0_317,plain,
line_equal(a1c1,a1c1),
inference(spm,[status(thm)],[c_0_136,c_0_153]) ).
cnf(c_0_318,plain,
( incident(a2,X1)
| ~ line_equal(a1c1,X1)
| ~ incident(c1,oa) ),
inference(spm,[status(thm)],[c_0_310,c_0_119]) ).
cnf(c_0_319,plain,
( line_equal(a1c1,oc)
| incident(o,b1c1)
| ~ incident(c1,oa) ),
inference(spm,[status(thm)],[c_0_305,c_0_311]) ).
cnf(c_0_320,plain,
~ incident(a2,oc),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_255,c_0_298]),c_0_312]) ).
cnf(c_0_321,plain,
( line_equal(ob,b1c1)
| ~ incident(bc,ob) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_313,c_0_314]),c_0_315]) ).
cnf(c_0_322,plain,
( incident(o,a1c1)
| ~ incident(c1,oa) ),
inference(spm,[status(thm)],[c_0_316,c_0_317]) ).
cnf(c_0_323,plain,
( point_equal(b1,X1)
| line_equal(X2,ob)
| ~ incident(X1,ob)
| ~ incident(b1,X2)
| ~ incident(X1,X2) ),
inference(spm,[status(thm)],[c_0_101,c_0_191]) ).
cnf(c_0_324,plain,
( incident(o,b1c1)
| ~ incident(c1,oa) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_318,c_0_319]),c_0_320]) ).
cnf(c_0_325,plain,
( line_equal(ob,X1)
| ~ line_equal(b1c1,X1)
| ~ incident(bc,ob) ),
inference(spm,[status(thm)],[c_0_129,c_0_321]) ).
cnf(c_0_326,plain,
( incident(X1,a1c1)
| ~ point_equal(X1,o)
| ~ incident(c1,oa) ),
inference(spm,[status(thm)],[c_0_105,c_0_322]) ).
cnf(c_0_327,plain,
( point_equal(b1,o)
| line_equal(b1c1,ob)
| ~ incident(c1,oa) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_323,c_0_324]),c_0_173]),c_0_168])]) ).
cnf(c_0_328,plain,
( point_equal(o,c1)
| line_equal(b1c1,oc)
| ~ incident(o,b1c1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_249,c_0_124]),c_0_149])]) ).
cnf(c_0_329,plain,
( incident(X1,X2)
| ~ line_equal(b1c1,X2)
| ~ incident(bc,ob)
| ~ incident(X1,ob) ),
inference(spm,[status(thm)],[c_0_144,c_0_325]) ).
cnf(c_0_330,plain,
( point_equal(b2,bc)
| ~ incident(b2,b1c1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_125]),c_0_113])]),c_0_126]) ).
cnf(c_0_331,plain,
( point_equal(c2,X1)
| line_equal(X2,oc)
| ~ incident(X1,oc)
| ~ incident(c2,X2)
| ~ incident(X1,X2) ),
inference(spm,[status(thm)],[c_0_101,c_0_108]) ).
cnf(c_0_332,plain,
( line_equal(b1c1,ob)
| ~ incident(c1,oa) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_326,c_0_327]),c_0_204]) ).
cnf(c_0_333,plain,
( point_equal(c1,o)
| line_equal(b1c1,oc)
| ~ incident(o,b1c1) ),
inference(spm,[status(thm)],[c_0_184,c_0_328]) ).
cnf(c_0_334,plain,
( incident(o,X1)
| ~ line_equal(b1c1,X1)
| ~ incident(bc,ob) ),
inference(spm,[status(thm)],[c_0_329,c_0_173]) ).
cnf(c_0_335,plain,
line_equal(b1c1,b1c1),
inference(spm,[status(thm)],[c_0_136,c_0_125]) ).
cnf(c_0_336,plain,
( incident(X1,a2b2)
| ~ point_equal(X1,b2) ),
inference(spm,[status(thm)],[c_0_105,c_0_112]) ).
cnf(c_0_337,plain,
( point_equal(bc,b2)
| ~ incident(b2,b1c1) ),
inference(spm,[status(thm)],[c_0_184,c_0_330]) ).
cnf(c_0_338,plain,
( point_equal(a2,ac)
| ~ incident(a2,a1c1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_205,c_0_153]),c_0_214])]),c_0_228]) ).
cnf(c_0_339,plain,
( line_equal(b1c1,oc)
| ~ incident(c2,b1c1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_124]),c_0_149])]),c_0_150]) ).
cnf(c_0_340,plain,
( point_equal(c2,X1)
| line_equal(X2,a2c2)
| ~ incident(X1,a2c2)
| ~ incident(c2,X2)
| ~ incident(X1,X2) ),
inference(spm,[status(thm)],[c_0_101,c_0_106]) ).
cnf(c_0_341,plain,
( line_equal(ob,b1c1)
| ~ incident(c1,oa) ),
inference(spm,[status(thm)],[c_0_158,c_0_332]) ).
cnf(c_0_342,plain,
( incident(b2,X1)
| ~ line_equal(b1c1,X1)
| ~ incident(bc,ob) ),
inference(spm,[status(thm)],[c_0_329,c_0_121]) ).
cnf(c_0_343,plain,
( line_equal(b1c1,oc)
| incident(c1,oa)
| ~ incident(o,b1c1) ),
inference(spm,[status(thm)],[c_0_219,c_0_333]) ).
cnf(c_0_344,plain,
( incident(o,b1c1)
| ~ incident(bc,ob) ),
inference(spm,[status(thm)],[c_0_334,c_0_335]) ).
cnf(c_0_345,plain,
( incident(X1,ob)
| ~ point_equal(X1,b2) ),
inference(spm,[status(thm)],[c_0_105,c_0_121]) ).
cnf(c_0_346,plain,
( incident(bc,a2b2)
| ~ incident(b2,b1c1) ),
inference(spm,[status(thm)],[c_0_336,c_0_337]) ).
cnf(c_0_347,plain,
( incident(X1,a2b2)
| ~ point_equal(X1,a2) ),
inference(spm,[status(thm)],[c_0_105,c_0_120]) ).
cnf(c_0_348,plain,
( point_equal(ac,a2)
| ~ incident(a2,a1c1) ),
inference(spm,[status(thm)],[c_0_184,c_0_338]) ).
cnf(c_0_349,plain,
( point_equal(bc,c1)
| line_equal(oc,b1c1)
| ~ incident(bc,oc) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_299,c_0_149]),c_0_124])]) ).
cnf(c_0_350,plain,
( line_equal(oc,b1c1)
| ~ incident(c2,b1c1) ),
inference(spm,[status(thm)],[c_0_158,c_0_339]) ).
cnf(c_0_351,plain,
( line_equal(oc,a2c2)
| ~ incident(c1,a2c2) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_340,c_0_149]),c_0_108])]),c_0_150]) ).
cnf(c_0_352,plain,
( line_equal(ob,X1)
| ~ line_equal(b1c1,X1)
| ~ incident(c1,oa) ),
inference(spm,[status(thm)],[c_0_129,c_0_341]) ).
cnf(c_0_353,plain,
( incident(c1,oa)
| ~ incident(bc,ob) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_342,c_0_343]),c_0_265]),c_0_344]) ).
cnf(c_0_354,plain,
( incident(bc,ob)
| ~ incident(b2,b1c1) ),
inference(spm,[status(thm)],[c_0_345,c_0_337]) ).
cnf(c_0_355,plain,
( ~ incident(ac,a2b2)
| ~ incident(b2,b1c1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_346]),c_0_127])]) ).
cnf(c_0_356,plain,
( incident(ac,a2b2)
| ~ incident(a2,a1c1) ),
inference(spm,[status(thm)],[c_0_347,c_0_348]) ).
cnf(c_0_357,plain,
( point_equal(c1,bc)
| line_equal(oc,b1c1)
| ~ incident(bc,oc) ),
inference(spm,[status(thm)],[c_0_184,c_0_349]) ).
cnf(c_0_358,plain,
( line_equal(oc,X1)
| ~ line_equal(b1c1,X1)
| ~ incident(c2,b1c1) ),
inference(spm,[status(thm)],[c_0_129,c_0_350]) ).
cnf(c_0_359,plain,
( line_equal(oc,X1)
| ~ line_equal(a2c2,X1)
| ~ incident(c1,a2c2) ),
inference(spm,[status(thm)],[c_0_129,c_0_351]) ).
cnf(c_0_360,plain,
( point_equal(c1,X1)
| line_equal(X2,b1c1)
| ~ incident(X1,b1c1)
| ~ incident(c1,X2)
| ~ incident(X1,X2) ),
inference(spm,[status(thm)],[c_0_101,c_0_124]) ).
cnf(c_0_361,plain,
( incident(X1,X2)
| ~ line_equal(b1c1,X2)
| ~ incident(c1,oa)
| ~ incident(X1,ob) ),
inference(spm,[status(thm)],[c_0_144,c_0_352]) ).
cnf(c_0_362,plain,
( incident(a2,a1c1)
| ~ incident(c1,oa) ),
inference(spm,[status(thm)],[c_0_318,c_0_317]) ).
cnf(c_0_363,plain,
( incident(c1,oa)
| ~ incident(b2,b1c1) ),
inference(spm,[status(thm)],[c_0_353,c_0_354]) ).
cnf(c_0_364,plain,
( ~ incident(b2,b1c1)
| ~ incident(a2,a1c1) ),
inference(spm,[status(thm)],[c_0_355,c_0_356]) ).
cnf(c_0_365,plain,
( point_equal(b1,X1)
| line_equal(X2,a1b1)
| ~ incident(X1,a1b1)
| ~ incident(b1,X2)
| ~ incident(X1,X2) ),
inference(spm,[status(thm)],[c_0_101,c_0_169]) ).
cnf(c_0_366,plain,
( line_equal(oc,b1c1)
| ~ incident(bc,oc) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_313,c_0_357]),c_0_258]) ).
cnf(c_0_367,plain,
( point_equal(b1,c1)
| line_equal(b1c1,ob)
| ~ incident(c1,ob) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_323,c_0_124]),c_0_168])]) ).
cnf(c_0_368,plain,
( incident(X1,X2)
| ~ line_equal(b1c1,X2)
| ~ incident(c2,b1c1)
| ~ incident(X1,oc) ),
inference(spm,[status(thm)],[c_0_144,c_0_358]) ).
cnf(c_0_369,plain,
( incident(X1,X2)
| ~ line_equal(a2c2,X2)
| ~ incident(c1,a2c2)
| ~ incident(X1,oc) ),
inference(spm,[status(thm)],[c_0_144,c_0_359]) ).
cnf(c_0_370,plain,
( point_equal(c1,o)
| line_equal(oc,b1c1)
| ~ incident(o,b1c1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_360,c_0_183]),c_0_149])]) ).
cnf(c_0_371,plain,
( incident(b2,X1)
| ~ line_equal(b1c1,X1)
| ~ incident(c1,oa) ),
inference(spm,[status(thm)],[c_0_361,c_0_121]) ).
cnf(c_0_372,plain,
~ incident(b2,b1c1),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_362,c_0_363]),c_0_364]) ).
cnf(c_0_373,plain,
( point_equal(b1,a1)
| line_equal(oa,a1b1)
| ~ incident(b1,oa) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_365,c_0_167]),c_0_141])]) ).
cnf(c_0_374,plain,
( line_equal(oc,X1)
| ~ line_equal(b1c1,X1)
| ~ incident(bc,oc) ),
inference(spm,[status(thm)],[c_0_129,c_0_366]) ).
cnf(c_0_375,plain,
( line_equal(b1c1,ob)
| ~ incident(c1,ob) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_367]),c_0_204]) ).
cnf(c_0_376,plain,
( incident(o,X1)
| ~ line_equal(b1c1,X1)
| ~ incident(c2,b1c1) ),
inference(spm,[status(thm)],[c_0_368,c_0_183]) ).
cnf(c_0_377,plain,
( goal
| ~ incident(a1,b2c2)
| ~ incident(b1,a2c2)
| ~ incident(c1,a2b2) ),
i_0_2 ).
cnf(c_0_378,plain,
( incident(o,X1)
| ~ line_equal(a2c2,X1)
| ~ incident(c1,a2c2) ),
inference(spm,[status(thm)],[c_0_369,c_0_183]) ).
cnf(c_0_379,plain,
( line_equal(oc,b1c1)
| incident(c1,oa)
| ~ incident(o,b1c1) ),
inference(spm,[status(thm)],[c_0_219,c_0_370]) ).
cnf(c_0_380,plain,
~ incident(c1,oa),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_371,c_0_335]),c_0_372]) ).
cnf(c_0_381,plain,
( line_equal(oa,a1b1)
| ~ incident(b1,oa) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_373]),c_0_204]) ).
cnf(c_0_382,plain,
( incident(X1,X2)
| ~ line_equal(b1c1,X2)
| ~ incident(bc,oc)
| ~ incident(X1,oc) ),
inference(spm,[status(thm)],[c_0_144,c_0_374]) ).
cnf(c_0_383,plain,
( line_equal(b1c1,X1)
| ~ line_equal(ob,X1)
| ~ incident(c1,ob) ),
inference(spm,[status(thm)],[c_0_129,c_0_375]) ).
cnf(c_0_384,plain,
( point_equal(c2,bc)
| ~ incident(c2,b1c1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_125]),c_0_113])]),c_0_126]) ).
cnf(c_0_385,plain,
( incident(o,b1c1)
| ~ incident(c2,b1c1) ),
inference(spm,[status(thm)],[c_0_376,c_0_335]) ).
cnf(c_0_386,plain,
( point_equal(a2,X1)
| line_equal(X2,a2b2)
| ~ incident(X1,a2b2)
| ~ incident(a2,X2)
| ~ incident(X1,X2) ),
inference(spm,[status(thm)],[c_0_101,c_0_120]) ).
cnf(c_0_387,plain,
( ~ incident(a1,b2c2)
| ~ incident(b1,a2c2)
| ~ incident(c1,a2b2) ),
inference(sr,[status(thm)],[c_0_377,c_0_104]) ).
cnf(c_0_388,plain,
( incident(c1,a2b2)
| incident(a2,b1c1) ),
i_0_6 ).
cnf(c_0_389,plain,
( incident(o,a2c2)
| ~ incident(c1,a2c2) ),
inference(spm,[status(thm)],[c_0_378,c_0_256]) ).
cnf(c_0_390,plain,
( line_equal(b1c1,oc)
| ~ incident(o,b1c1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_379]),c_0_380]) ).
cnf(c_0_391,plain,
( line_equal(oa,X1)
| ~ line_equal(a1b1,X1)
| ~ incident(b1,oa) ),
inference(spm,[status(thm)],[c_0_129,c_0_381]) ).
cnf(c_0_392,plain,
( incident(c2,X1)
| ~ line_equal(b1c1,X1)
| ~ incident(bc,oc) ),
inference(spm,[status(thm)],[c_0_382,c_0_108]) ).
cnf(c_0_393,plain,
( ~ incident(c1,ob)
| ~ incident(c2,ob) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_383,c_0_211]),c_0_126]) ).
cnf(c_0_394,plain,
( incident(X1,oc)
| ~ point_equal(X1,c2) ),
inference(spm,[status(thm)],[c_0_105,c_0_108]) ).
cnf(c_0_395,plain,
( point_equal(bc,c2)
| ~ incident(c2,b1c1) ),
inference(spm,[status(thm)],[c_0_184,c_0_384]) ).
cnf(c_0_396,plain,
( point_equal(b1,o)
| line_equal(b1c1,ob)
| ~ incident(c2,b1c1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_323,c_0_385]),c_0_173]),c_0_168])]) ).
cnf(c_0_397,plain,
( point_equal(a2,ab)
| ~ incident(a2,a1b1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_386,c_0_142]),c_0_127])]),c_0_143]) ).
cnf(c_0_398,plain,
( incident(a2,b1c1)
| ~ incident(a1,b2c2)
| ~ incident(b1,a2c2) ),
inference(spm,[status(thm)],[c_0_387,c_0_388]) ).
cnf(c_0_399,plain,
( incident(b1,a2c2)
| incident(c2,a1b1) ),
i_0_5 ).
cnf(c_0_400,plain,
( incident(b1,b2c2)
| ~ incident(c2,ob) ),
inference(spm,[status(thm)],[c_0_242,c_0_165]) ).
cnf(c_0_401,plain,
( point_equal(a2,o)
| line_equal(a2c2,oa)
| ~ incident(c1,a2c2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_270,c_0_389]),c_0_161]),c_0_111])]) ).
cnf(c_0_402,plain,
( line_equal(oc,b1c1)
| ~ incident(o,b1c1) ),
inference(spm,[status(thm)],[c_0_158,c_0_390]) ).
cnf(c_0_403,plain,
( incident(X1,X2)
| ~ line_equal(a1b1,X2)
| ~ incident(b1,oa)
| ~ incident(X1,oa) ),
inference(spm,[status(thm)],[c_0_144,c_0_391]) ).
cnf(c_0_404,plain,
( ~ incident(bc,oc)
| ~ incident(c1,ob) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_392,c_0_375]),c_0_393]) ).
cnf(c_0_405,plain,
( incident(bc,oc)
| ~ incident(c2,b1c1) ),
inference(spm,[status(thm)],[c_0_394,c_0_395]) ).
cnf(c_0_406,plain,
( incident(c1,X1)
| ~ line_equal(b1c1,X1)
| ~ incident(c2,b1c1) ),
inference(spm,[status(thm)],[c_0_368,c_0_149]) ).
cnf(c_0_407,plain,
( line_equal(b1c1,ob)
| incident(b1,oa)
| ~ incident(c2,b1c1) ),
inference(spm,[status(thm)],[c_0_219,c_0_396]) ).
cnf(c_0_408,plain,
( incident(bc,a2c2)
| ~ incident(c2,b1c1) ),
inference(spm,[status(thm)],[c_0_115,c_0_395]) ).
cnf(c_0_409,plain,
( point_equal(ab,a2)
| ~ incident(a2,a1b1) ),
inference(spm,[status(thm)],[c_0_184,c_0_397]) ).
cnf(c_0_410,plain,
( incident(c2,a1b1)
| incident(a2,b1c1)
| ~ incident(a1,b2c2) ),
inference(spm,[status(thm)],[c_0_398,c_0_399]) ).
cnf(c_0_411,plain,
( incident(a1,b2c2)
| incident(b2,a1c1) ),
i_0_4 ).
cnf(c_0_412,plain,
( point_equal(c2,o)
| line_equal(oa,oc)
| ~ incident(c2,oa) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_161]),c_0_183])]) ).
cnf(c_0_413,plain,
~ incident(c2,ob),
inference(spm,[status(thm)],[c_0_315,c_0_400]) ).
cnf(c_0_414,plain,
( incident(X1,oc)
| ~ point_equal(X1,c1) ),
inference(spm,[status(thm)],[c_0_105,c_0_149]) ).
cnf(c_0_415,plain,
( line_equal(a2c2,oa)
| incident(a2,ob)
| ~ incident(c1,a2c2) ),
inference(spm,[status(thm)],[c_0_277,c_0_401]) ).
cnf(c_0_416,plain,
( point_equal(bc,b1)
| line_equal(a1b1,b1c1)
| ~ incident(bc,a1b1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_299,c_0_169]),c_0_168])]) ).
cnf(c_0_417,plain,
( point_equal(o,X1)
| line_equal(X2,ob)
| ~ incident(X1,ob)
| ~ incident(o,X2)
| ~ incident(X1,X2) ),
inference(spm,[status(thm)],[c_0_101,c_0_173]) ).
cnf(c_0_418,plain,
( line_equal(oc,X1)
| ~ line_equal(b1c1,X1)
| ~ incident(o,b1c1) ),
inference(spm,[status(thm)],[c_0_129,c_0_402]) ).
cnf(c_0_419,plain,
( incident(a2,X1)
| ~ line_equal(a1b1,X1)
| ~ incident(b1,oa) ),
inference(spm,[status(thm)],[c_0_403,c_0_119]) ).
cnf(c_0_420,plain,
line_equal(a1b1,a1b1),
inference(spm,[status(thm)],[c_0_136,c_0_142]) ).
cnf(c_0_421,plain,
( ~ incident(c1,ob)
| ~ incident(c2,b1c1) ),
inference(spm,[status(thm)],[c_0_404,c_0_405]) ).
cnf(c_0_422,plain,
( incident(b1,oa)
| incident(c1,ob)
| ~ incident(c2,b1c1) ),
inference(spm,[status(thm)],[c_0_406,c_0_407]) ).
cnf(c_0_423,plain,
( ~ incident(ab,a2c2)
| ~ incident(c2,b1c1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_408]),c_0_214])]) ).
cnf(c_0_424,plain,
( incident(ab,a2c2)
| ~ incident(a2,a1b1) ),
inference(spm,[status(thm)],[c_0_131,c_0_409]) ).
cnf(c_0_425,plain,
( point_equal(o,b1)
| line_equal(ob,oa)
| ~ incident(b1,oa) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_191]),c_0_173])]) ).
cnf(c_0_426,plain,
( incident(b2,a1c1)
| incident(a2,b1c1)
| incident(c2,a1b1) ),
inference(spm,[status(thm)],[c_0_410,c_0_411]) ).
cnf(c_0_427,plain,
( line_equal(oa,oc)
| ~ incident(c2,oa) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_277,c_0_412]),c_0_413]) ).
cnf(c_0_428,plain,
( incident(ac,oc)
| ~ incident(c1,a2c2) ),
inference(spm,[status(thm)],[c_0_414,c_0_238]) ).
cnf(c_0_429,plain,
( line_equal(oa,a2c2)
| incident(a2,ob)
| ~ incident(c1,a2c2) ),
inference(spm,[status(thm)],[c_0_158,c_0_415]) ).
cnf(c_0_430,plain,
( point_equal(b1,bc)
| line_equal(a1b1,b1c1)
| ~ incident(bc,a1b1) ),
inference(spm,[status(thm)],[c_0_184,c_0_416]) ).
cnf(c_0_431,plain,
( point_equal(b1,c1)
| line_equal(b1c1,a1b1)
| ~ incident(c1,a1b1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_365,c_0_124]),c_0_168])]) ).
cnf(c_0_432,plain,
( point_equal(o,c1)
| line_equal(oc,ob)
| ~ incident(c1,ob) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_417,c_0_149]),c_0_183])]) ).
cnf(c_0_433,plain,
( incident(X1,X2)
| ~ line_equal(b1c1,X2)
| ~ incident(o,b1c1)
| ~ incident(X1,oc) ),
inference(spm,[status(thm)],[c_0_144,c_0_418]) ).
cnf(c_0_434,plain,
( incident(a2,a1b1)
| ~ incident(b1,oa) ),
inference(spm,[status(thm)],[c_0_419,c_0_420]) ).
cnf(c_0_435,plain,
( incident(b1,oa)
| ~ incident(c2,b1c1) ),
inference(spm,[status(thm)],[c_0_421,c_0_422]) ).
cnf(c_0_436,plain,
( ~ incident(c2,b1c1)
| ~ incident(a2,a1b1) ),
inference(spm,[status(thm)],[c_0_423,c_0_424]) ).
cnf(c_0_437,plain,
( line_equal(a1b1,oa)
| ~ incident(b1,oa) ),
inference(spm,[status(thm)],[c_0_158,c_0_381]) ).
cnf(c_0_438,plain,
( line_equal(ob,oa)
| incident(o,b1c1)
| ~ incident(b1,oa) ),
inference(spm,[status(thm)],[c_0_178,c_0_425]) ).
cnf(c_0_439,plain,
( point_equal(c2,X1)
| line_equal(X2,a1b1)
| incident(a2,b1c1)
| incident(b2,a1c1)
| ~ incident(X1,a1b1)
| ~ incident(c2,X2)
| ~ incident(X1,X2) ),
inference(spm,[status(thm)],[c_0_101,c_0_426]) ).
cnf(c_0_440,plain,
( line_equal(oc,oa)
| ~ incident(c2,oa) ),
inference(spm,[status(thm)],[c_0_158,c_0_427]) ).
cnf(c_0_441,plain,
( incident(ac,X1)
| ~ line_equal(a2c2,X1)
| ~ incident(c1,a2c2) ),
inference(spm,[status(thm)],[c_0_369,c_0_428]) ).
cnf(c_0_442,plain,
( line_equal(a2c2,oa)
| ~ incident(c1,a2c2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_429]),c_0_279]) ).
cnf(c_0_443,plain,
( line_equal(a1b1,b1c1)
| ~ incident(bc,a1b1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_313,c_0_430]),c_0_315]) ).
cnf(c_0_444,plain,
( line_equal(b1c1,a1b1)
| ~ incident(c1,a1b1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_431]),c_0_204]) ).
cnf(c_0_445,plain,
( point_equal(a1,X1)
| line_equal(X2,a1b1)
| ~ incident(X1,a1b1)
| ~ incident(a1,X2)
| ~ incident(X1,X2) ),
inference(spm,[status(thm)],[c_0_101,c_0_141]) ).
cnf(c_0_446,plain,
( line_equal(oc,ob)
| incident(o,b1c1)
| ~ incident(c1,ob) ),
inference(spm,[status(thm)],[c_0_237,c_0_432]) ).
cnf(c_0_447,plain,
( incident(c2,X1)
| ~ line_equal(b1c1,X1)
| ~ incident(o,b1c1) ),
inference(spm,[status(thm)],[c_0_433,c_0_108]) ).
cnf(c_0_448,plain,
~ incident(c2,b1c1),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_434,c_0_435]),c_0_436]) ).
cnf(c_0_449,plain,
( line_equal(a1b1,X1)
| ~ line_equal(oa,X1)
| ~ incident(b1,oa) ),
inference(spm,[status(thm)],[c_0_129,c_0_437]) ).
cnf(c_0_450,plain,
( line_equal(oa,ob)
| incident(o,b1c1)
| ~ incident(b1,oa) ),
inference(spm,[status(thm)],[c_0_158,c_0_438]) ).
cnf(c_0_451,plain,
( incident(X1,oa)
| ~ point_equal(X1,a1) ),
inference(spm,[status(thm)],[c_0_105,c_0_167]) ).
cnf(c_0_452,plain,
( point_equal(c2,a1)
| line_equal(b2c2,a1b1)
| incident(b2,a1c1)
| incident(a2,b1c1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_439,c_0_411]),c_0_141]),c_0_109])]) ).
cnf(c_0_453,plain,
( line_equal(oc,X1)
| ~ line_equal(oa,X1)
| ~ incident(c2,oa) ),
inference(spm,[status(thm)],[c_0_129,c_0_440]) ).
cnf(c_0_454,plain,
( point_equal(a2,c2)
| line_equal(a2c2,oa)
| ~ incident(c2,oa) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_270,c_0_106]),c_0_111])]) ).
cnf(c_0_455,plain,
( incident(ac,oa)
| ~ incident(c1,a2c2) ),
inference(spm,[status(thm)],[c_0_441,c_0_442]) ).
cnf(c_0_456,plain,
( line_equal(oa,a2c2)
| ~ incident(c1,a2c2) ),
inference(spm,[status(thm)],[c_0_158,c_0_442]) ).
cnf(c_0_457,plain,
( line_equal(b1c1,a1b1)
| ~ incident(bc,a1b1) ),
inference(spm,[status(thm)],[c_0_158,c_0_443]) ).
cnf(c_0_458,plain,
( line_equal(b1c1,X1)
| ~ line_equal(a1b1,X1)
| ~ incident(c1,a1b1) ),
inference(spm,[status(thm)],[c_0_129,c_0_444]) ).
cnf(c_0_459,plain,
( point_equal(a1,c1)
| line_equal(a1c1,a1b1)
| ~ incident(c1,a1b1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_445,c_0_122]),c_0_139])]) ).
cnf(c_0_460,plain,
( line_equal(ob,oc)
| incident(o,b1c1)
| ~ incident(c1,ob) ),
inference(spm,[status(thm)],[c_0_158,c_0_446]) ).
cnf(c_0_461,plain,
~ incident(o,b1c1),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_447,c_0_335]),c_0_448]) ).
cnf(c_0_462,plain,
( point_equal(o,b1)
| line_equal(a1b1,ob)
| ~ incident(o,a1b1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_417,c_0_169]),c_0_191])]) ).
cnf(c_0_463,plain,
( line_equal(a1b1,ob)
| incident(o,b1c1)
| ~ incident(b1,oa) ),
inference(spm,[status(thm)],[c_0_449,c_0_450]) ).
cnf(c_0_464,plain,
( line_equal(b2c2,a1b1)
| incident(a2,b1c1)
| incident(b2,a1c1)
| incident(c2,oa) ),
inference(spm,[status(thm)],[c_0_451,c_0_452]) ).
cnf(c_0_465,plain,
( incident(X1,X2)
| ~ line_equal(oa,X2)
| ~ incident(c2,oa)
| ~ incident(X1,oc) ),
inference(spm,[status(thm)],[c_0_144,c_0_453]) ).
cnf(c_0_466,plain,
( line_equal(a2c2,oa)
| ~ incident(c2,oa) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_454]),c_0_218]) ).
cnf(c_0_467,plain,
( incident(X1,oa)
| ~ point_equal(X1,ac)
| ~ incident(c1,a2c2) ),
inference(spm,[status(thm)],[c_0_105,c_0_455]) ).
cnf(c_0_468,plain,
( point_equal(c1,ac)
| ~ incident(c1,a2c2) ),
inference(spm,[status(thm)],[c_0_184,c_0_238]) ).
cnf(c_0_469,plain,
( ~ incident(c1,oa)
| ~ incident(c1,a2c2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_305,c_0_456]),c_0_228]) ).
cnf(c_0_470,plain,
( line_equal(b1c1,X1)
| ~ line_equal(a1b1,X1)
| ~ incident(bc,a1b1) ),
inference(spm,[status(thm)],[c_0_129,c_0_457]) ).
cnf(c_0_471,plain,
( incident(X1,X2)
| ~ line_equal(a1b1,X2)
| ~ incident(c1,a1b1)
| ~ incident(X1,b1c1) ),
inference(spm,[status(thm)],[c_0_144,c_0_458]) ).
cnf(c_0_472,plain,
( line_equal(a1c1,a1b1)
| ~ incident(c1,a1b1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_237,c_0_459]),c_0_200]) ).
cnf(c_0_473,plain,
( line_equal(b1c1,oc)
| ~ incident(c1,ob) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_383,c_0_460]),c_0_461]) ).
cnf(c_0_474,plain,
( point_equal(b1,o)
| line_equal(a1b1,ob)
| ~ incident(o,a1b1) ),
inference(spm,[status(thm)],[c_0_184,c_0_462]) ).
cnf(c_0_475,plain,
( incident(o,b1c1)
| ~ incident(b1,oa) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_419,c_0_463]),c_0_279]) ).
cnf(c_0_476,plain,
( incident(c2,oa)
| incident(b2,a1c1)
| incident(a2,b1c1)
| incident(X1,a1b1)
| ~ incident(X1,b2c2) ),
inference(spm,[status(thm)],[c_0_144,c_0_464]) ).
cnf(c_0_477,plain,
( incident(c1,X1)
| ~ line_equal(oa,X1)
| ~ incident(c2,oa) ),
inference(spm,[status(thm)],[c_0_465,c_0_149]) ).
cnf(c_0_478,plain,
( line_equal(oa,a2c2)
| ~ incident(c2,oa) ),
inference(spm,[status(thm)],[c_0_158,c_0_466]) ).
cnf(c_0_479,plain,
~ incident(c1,a2c2),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_467,c_0_468]),c_0_469]) ).
cnf(c_0_480,plain,
( incident(X1,X2)
| ~ line_equal(a1b1,X2)
| ~ incident(bc,a1b1)
| ~ incident(X1,b1c1) ),
inference(spm,[status(thm)],[c_0_144,c_0_470]) ).
cnf(c_0_481,plain,
( incident(b1,X1)
| ~ line_equal(a1b1,X1)
| ~ incident(c1,a1b1) ),
inference(spm,[status(thm)],[c_0_471,c_0_168]) ).
cnf(c_0_482,plain,
( line_equal(a1b1,a1c1)
| ~ incident(c1,a1b1) ),
inference(spm,[status(thm)],[c_0_158,c_0_472]) ).
cnf(c_0_483,plain,
( line_equal(oc,b1c1)
| ~ incident(c1,ob) ),
inference(spm,[status(thm)],[c_0_158,c_0_473]) ).
cnf(c_0_484,plain,
( line_equal(a1b1,ob)
| incident(b1,oa)
| ~ incident(o,a1b1) ),
inference(spm,[status(thm)],[c_0_219,c_0_474]) ).
cnf(c_0_485,plain,
~ incident(b1,oa),
inference(spm,[status(thm)],[c_0_461,c_0_475]) ).
cnf(c_0_486,plain,
( incident(bc,a1b1)
| incident(a2,b1c1)
| incident(b2,a1c1)
| incident(c2,oa) ),
inference(spm,[status(thm)],[c_0_476,c_0_113]) ).
cnf(c_0_487,plain,
~ incident(c2,oa),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_477,c_0_478]),c_0_479]) ).
cnf(c_0_488,plain,
( incident(c1,X1)
| ~ line_equal(a1b1,X1)
| ~ incident(bc,a1b1) ),
inference(spm,[status(thm)],[c_0_480,c_0_124]) ).
cnf(c_0_489,plain,
~ incident(c1,a1b1),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_481,c_0_482]),c_0_204]) ).
cnf(c_0_490,plain,
( line_equal(oc,X1)
| ~ line_equal(b1c1,X1)
| ~ incident(c1,ob) ),
inference(spm,[status(thm)],[c_0_129,c_0_483]) ).
cnf(c_0_491,plain,
( line_equal(ob,a1b1)
| ~ incident(o,a1b1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_484]),c_0_485]) ).
cnf(c_0_492,plain,
( point_equal(c1,X1)
| line_equal(X2,a1c1)
| ~ incident(X1,a1c1)
| ~ incident(c1,X2)
| ~ incident(X1,X2) ),
inference(spm,[status(thm)],[c_0_101,c_0_122]) ).
cnf(c_0_493,plain,
( incident(b2,a1c1)
| incident(a2,b1c1)
| incident(bc,a1b1) ),
inference(sr,[status(thm)],[c_0_486,c_0_487]) ).
cnf(c_0_494,plain,
~ incident(bc,a1b1),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_488,c_0_420]),c_0_489]) ).
cnf(c_0_495,plain,
( incident(X1,X2)
| ~ line_equal(b1c1,X2)
| ~ incident(c1,ob)
| ~ incident(X1,oc) ),
inference(spm,[status(thm)],[c_0_144,c_0_490]) ).
cnf(c_0_496,plain,
( line_equal(ob,X1)
| ~ line_equal(a1b1,X1)
| ~ incident(o,a1b1) ),
inference(spm,[status(thm)],[c_0_129,c_0_491]) ).
cnf(c_0_497,plain,
( point_equal(c1,o)
| line_equal(oc,a1c1)
| ~ incident(o,a1c1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_492,c_0_183]),c_0_149])]) ).
cnf(c_0_498,plain,
( goal
| ~ point_equal(a2,a1) ),
i_0_36 ).
cnf(c_0_499,plain,
( point_equal(c1,X1)
| line_equal(X2,a2b2)
| incident(a2,b1c1)
| ~ incident(X1,a2b2)
| ~ incident(c1,X2)
| ~ incident(X1,X2) ),
inference(spm,[status(thm)],[c_0_101,c_0_388]) ).
cnf(c_0_500,plain,
( incident(a2,b1c1)
| incident(b2,a1c1) ),
inference(sr,[status(thm)],[c_0_493,c_0_494]) ).
cnf(c_0_501,plain,
( incident(o,X1)
| ~ line_equal(b1c1,X1)
| ~ incident(c1,ob) ),
inference(spm,[status(thm)],[c_0_495,c_0_183]) ).
cnf(c_0_502,plain,
( incident(X1,X2)
| ~ line_equal(a1b1,X2)
| ~ incident(o,a1b1)
| ~ incident(X1,ob) ),
inference(spm,[status(thm)],[c_0_144,c_0_496]) ).
cnf(c_0_503,plain,
( point_equal(o,a1)
| line_equal(a1b1,oa)
| ~ incident(o,a1b1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_141]),c_0_167])]) ).
cnf(c_0_504,plain,
( line_equal(oc,a1c1)
| incident(c1,oa)
| ~ incident(o,a1c1) ),
inference(spm,[status(thm)],[c_0_219,c_0_497]) ).
cnf(c_0_505,plain,
~ point_equal(a2,a1),
inference(sr,[status(thm)],[c_0_498,c_0_104]) ).
cnf(c_0_506,plain,
( point_equal(c1,b2)
| line_equal(a1c1,a2b2)
| incident(a2,b1c1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_499,c_0_500]),c_0_112]),c_0_122])]) ).
cnf(c_0_507,plain,
~ incident(c1,ob),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_501,c_0_335]),c_0_461]) ).
cnf(c_0_508,plain,
( incident(X1,b1c1)
| ~ point_equal(X1,bc) ),
inference(spm,[status(thm)],[c_0_105,c_0_125]) ).
cnf(c_0_509,plain,
( point_equal(c2,bc)
| line_equal(b2c2,oc)
| ~ incident(bc,oc) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_113]),c_0_109])]) ).
cnf(c_0_510,plain,
( incident(b1,X1)
| ~ line_equal(a1b1,X1)
| ~ incident(o,a1b1) ),
inference(spm,[status(thm)],[c_0_502,c_0_191]) ).
cnf(c_0_511,plain,
( line_equal(a1b1,oa)
| incident(o,a1c1)
| ~ incident(o,a1b1) ),
inference(spm,[status(thm)],[c_0_154,c_0_503]) ).
cnf(c_0_512,plain,
( line_equal(a1c1,oc)
| ~ incident(o,a1c1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_504]),c_0_380]) ).
cnf(c_0_513,plain,
( line_equal(a1c1,oc)
| ~ incident(c2,a1c1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_122]),c_0_149])]),c_0_150]) ).
cnf(c_0_514,plain,
( line_equal(oa,a2b2)
| ~ incident(a1,a2b2) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_386,c_0_167]),c_0_119])]),c_0_505]) ).
cnf(c_0_515,plain,
( line_equal(a1c1,a2b2)
| incident(a2,b1c1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_345,c_0_506]),c_0_507]) ).
cnf(c_0_516,plain,
( line_equal(b1c1,oc)
| ~ incident(bc,oc) ),
inference(spm,[status(thm)],[c_0_158,c_0_366]) ).
cnf(c_0_517,plain,
( line_equal(b2c2,oc)
| ~ incident(bc,oc) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_508,c_0_509]),c_0_448]) ).
cnf(c_0_518,plain,
( point_equal(c1,X1)
| line_equal(X2,oc)
| ~ incident(X1,oc)
| ~ incident(c1,X2)
| ~ incident(X1,X2) ),
inference(spm,[status(thm)],[c_0_101,c_0_149]) ).
cnf(c_0_519,plain,
( incident(o,a1c1)
| ~ incident(o,a1b1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_510,c_0_511]),c_0_485]) ).
cnf(c_0_520,plain,
( line_equal(oc,a1c1)
| ~ incident(o,a1c1) ),
inference(spm,[status(thm)],[c_0_158,c_0_512]) ).
cnf(c_0_521,plain,
( line_equal(oc,a1c1)
| ~ incident(c2,a1c1) ),
inference(spm,[status(thm)],[c_0_158,c_0_513]) ).
cnf(c_0_522,plain,
( point_equal(a1,X1)
| line_equal(X2,a1c1)
| ~ incident(X1,a1c1)
| ~ incident(a1,X2)
| ~ incident(X1,X2) ),
inference(spm,[status(thm)],[c_0_101,c_0_139]) ).
cnf(c_0_523,plain,
( line_equal(a2b2,oa)
| ~ incident(a1,a2b2) ),
inference(spm,[status(thm)],[c_0_158,c_0_514]) ).
cnf(c_0_524,plain,
( incident(a2,b1c1)
| incident(X1,a2b2)
| ~ incident(X1,a1c1) ),
inference(spm,[status(thm)],[c_0_144,c_0_515]) ).
cnf(c_0_525,plain,
( point_equal(c2,bc)
| line_equal(b2c2,a2c2)
| ~ incident(bc,a2c2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_340,c_0_113]),c_0_109])]) ).
cnf(c_0_526,plain,
( line_equal(b1c1,X1)
| ~ line_equal(oc,X1)
| ~ incident(bc,oc) ),
inference(spm,[status(thm)],[c_0_129,c_0_516]) ).
cnf(c_0_527,plain,
( line_equal(oc,b2c2)
| ~ incident(bc,oc) ),
inference(spm,[status(thm)],[c_0_158,c_0_517]) ).
cnf(c_0_528,plain,
( point_equal(c1,o)
| line_equal(a1c1,oc)
| ~ incident(o,a1b1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_518,c_0_519]),c_0_183]),c_0_122])]) ).
cnf(c_0_529,plain,
( line_equal(oc,X1)
| ~ line_equal(a1c1,X1)
| ~ incident(o,a1c1) ),
inference(spm,[status(thm)],[c_0_129,c_0_520]) ).
cnf(c_0_530,plain,
( line_equal(oc,X1)
| ~ line_equal(a1c1,X1)
| ~ incident(c2,a1c1) ),
inference(spm,[status(thm)],[c_0_129,c_0_521]) ).
cnf(c_0_531,plain,
( point_equal(c2,ac)
| ~ incident(c2,a1c1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_340,c_0_153]),c_0_214])]),c_0_228]) ).
cnf(c_0_532,plain,
( point_equal(a1,c1)
| line_equal(oc,a1c1)
| ~ incident(a1,oc) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_522,c_0_149]),c_0_122])]) ).
cnf(c_0_533,plain,
( incident(X1,oa)
| ~ point_equal(X1,a2) ),
inference(spm,[status(thm)],[c_0_105,c_0_119]) ).
cnf(c_0_534,plain,
( point_equal(b1,a2)
| line_equal(a2c2,b1c1)
| ~ incident(a2,b1c1)
| ~ incident(b1,a2c2) ),
inference(spm,[status(thm)],[c_0_193,c_0_111]) ).
cnf(c_0_535,plain,
( incident(X1,oa)
| ~ incident(a1,a2b2)
| ~ incident(X1,a2b2) ),
inference(spm,[status(thm)],[c_0_144,c_0_523]) ).
cnf(c_0_536,plain,
( incident(a1,a2b2)
| incident(a2,b1c1) ),
inference(spm,[status(thm)],[c_0_524,c_0_139]) ).
cnf(c_0_537,plain,
( point_equal(bc,c2)
| line_equal(b2c2,a2c2)
| ~ incident(bc,a2c2) ),
inference(spm,[status(thm)],[c_0_184,c_0_525]) ).
cnf(c_0_538,plain,
~ incident(bc,oc),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_526,c_0_527]),c_0_126]) ).
cnf(c_0_539,plain,
( line_equal(a1c1,oc)
| ~ incident(o,a1b1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_219,c_0_528]),c_0_380]) ).
cnf(c_0_540,plain,
( incident(X1,X2)
| ~ line_equal(a1c1,X2)
| ~ incident(o,a1c1)
| ~ incident(X1,oc) ),
inference(spm,[status(thm)],[c_0_144,c_0_529]) ).
cnf(c_0_541,plain,
( point_equal(o,a1)
| line_equal(a1c1,oa)
| ~ incident(o,a1c1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_139]),c_0_167])]) ).
cnf(c_0_542,plain,
( incident(X1,X2)
| ~ line_equal(a1c1,X2)
| ~ incident(c2,a1c1)
| ~ incident(X1,oc) ),
inference(spm,[status(thm)],[c_0_144,c_0_530]) ).
cnf(c_0_543,plain,
( point_equal(ac,c2)
| ~ incident(c2,a1c1) ),
inference(spm,[status(thm)],[c_0_184,c_0_531]) ).
cnf(c_0_544,plain,
( point_equal(b2,ab)
| ~ incident(b2,a1b1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_142]),c_0_127])]),c_0_143]) ).
cnf(c_0_545,plain,
( line_equal(oc,a1c1)
| ~ incident(a1,oc) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_237,c_0_532]),c_0_200]) ).
cnf(c_0_546,plain,
( line_equal(a2c2,b1c1)
| ~ incident(a2,b1c1)
| ~ incident(b1,a2c2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_533,c_0_534]),c_0_485]) ).
cnf(c_0_547,plain,
( incident(a2,b1c1)
| incident(X1,oa)
| ~ incident(X1,a2b2) ),
inference(spm,[status(thm)],[c_0_535,c_0_536]) ).
cnf(c_0_548,plain,
( line_equal(b2c2,a2c2)
| ~ incident(bc,a2c2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_394,c_0_537]),c_0_538]) ).
cnf(c_0_549,plain,
( line_equal(oc,a1c1)
| ~ incident(o,a1b1) ),
inference(spm,[status(thm)],[c_0_158,c_0_539]) ).
cnf(c_0_550,plain,
( incident(c1,X1)
| ~ line_equal(a1c1,X1)
| ~ incident(o,a1c1) ),
inference(spm,[status(thm)],[c_0_540,c_0_149]) ).
cnf(c_0_551,plain,
( line_equal(a1c1,oa)
| incident(o,a1b1)
| ~ incident(o,a1c1) ),
inference(spm,[status(thm)],[c_0_294,c_0_541]) ).
cnf(c_0_552,plain,
( incident(o,X1)
| ~ line_equal(a1c1,X1)
| ~ incident(c2,a1c1) ),
inference(spm,[status(thm)],[c_0_542,c_0_183]) ).
cnf(c_0_553,plain,
( ~ incident(ab,b2c2)
| ~ incident(ac,b2c2) ),
inference(spm,[status(thm)],[c_0_151,c_0_113]) ).
cnf(c_0_554,plain,
( incident(ac,b2c2)
| ~ incident(c2,a1c1) ),
inference(spm,[status(thm)],[c_0_216,c_0_543]) ).
cnf(c_0_555,plain,
( incident(X1,b2c2)
| ~ point_equal(X1,b2) ),
inference(spm,[status(thm)],[c_0_105,c_0_102]) ).
cnf(c_0_556,plain,
( point_equal(ab,b2)
| ~ incident(b2,a1b1) ),
inference(spm,[status(thm)],[c_0_184,c_0_544]) ).
cnf(c_0_557,plain,
( line_equal(oc,X1)
| ~ line_equal(a1c1,X1)
| ~ incident(a1,oc) ),
inference(spm,[status(thm)],[c_0_129,c_0_545]) ).
cnf(c_0_558,plain,
( line_equal(b1c1,a2c2)
| ~ incident(a2,b1c1)
| ~ incident(b1,a2c2) ),
inference(spm,[status(thm)],[c_0_158,c_0_546]) ).
cnf(c_0_559,plain,
incident(a2,b1c1),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_547,c_0_388]),c_0_380]) ).
cnf(c_0_560,plain,
( line_equal(b2c2,X1)
| ~ line_equal(a2c2,X1)
| ~ incident(bc,a2c2) ),
inference(spm,[status(thm)],[c_0_129,c_0_548]) ).
cnf(c_0_561,plain,
( line_equal(oc,X1)
| ~ line_equal(a1c1,X1)
| ~ incident(o,a1b1) ),
inference(spm,[status(thm)],[c_0_129,c_0_549]) ).
cnf(c_0_562,plain,
( incident(b2,X1)
| ~ line_equal(a1b1,X1)
| ~ incident(o,a1b1) ),
inference(spm,[status(thm)],[c_0_502,c_0_121]) ).
cnf(c_0_563,plain,
( incident(o,a1b1)
| ~ incident(o,a1c1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_550,c_0_551]),c_0_380]) ).
cnf(c_0_564,plain,
( incident(o,a1c1)
| ~ incident(c2,a1c1) ),
inference(spm,[status(thm)],[c_0_552,c_0_317]) ).
cnf(c_0_565,plain,
( ~ incident(ab,b2c2)
| ~ incident(c2,a1c1) ),
inference(spm,[status(thm)],[c_0_553,c_0_554]) ).
cnf(c_0_566,plain,
( incident(ab,b2c2)
| ~ incident(b2,a1b1) ),
inference(spm,[status(thm)],[c_0_555,c_0_556]) ).
cnf(c_0_567,plain,
( incident(X1,X2)
| ~ line_equal(a1c1,X2)
| ~ incident(a1,oc)
| ~ incident(X1,oc) ),
inference(spm,[status(thm)],[c_0_144,c_0_557]) ).
cnf(c_0_568,plain,
( line_equal(b1c1,a2c2)
| ~ incident(b1,a2c2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_558,c_0_559])]) ).
cnf(c_0_569,plain,
( incident(X1,X2)
| ~ line_equal(a2c2,X2)
| ~ incident(bc,a2c2)
| ~ incident(X1,b2c2) ),
inference(spm,[status(thm)],[c_0_144,c_0_560]) ).
cnf(c_0_570,plain,
( incident(X1,X2)
| ~ line_equal(a1c1,X2)
| ~ incident(o,a1b1)
| ~ incident(X1,oc) ),
inference(spm,[status(thm)],[c_0_144,c_0_561]) ).
cnf(c_0_571,plain,
( incident(b2,a1b1)
| ~ incident(o,a1b1) ),
inference(spm,[status(thm)],[c_0_562,c_0_420]) ).
cnf(c_0_572,plain,
( incident(o,a1b1)
| ~ incident(c2,a1c1) ),
inference(spm,[status(thm)],[c_0_563,c_0_564]) ).
cnf(c_0_573,plain,
( ~ incident(c2,a1c1)
| ~ incident(b2,a1b1) ),
inference(spm,[status(thm)],[c_0_565,c_0_566]) ).
cnf(c_0_574,plain,
( incident(o,X1)
| ~ line_equal(a1c1,X1)
| ~ incident(a1,oc) ),
inference(spm,[status(thm)],[c_0_567,c_0_183]) ).
cnf(c_0_575,plain,
( goal
| ~ incident(a2,b1c1)
| ~ incident(b2,a1c1)
| ~ incident(c2,a1b1) ),
i_0_3 ).
cnf(c_0_576,plain,
( incident(X1,a2c2)
| ~ incident(b1,a2c2)
| ~ incident(X1,b1c1) ),
inference(spm,[status(thm)],[c_0_144,c_0_568]) ).
cnf(c_0_577,plain,
( incident(b2,X1)
| ~ line_equal(a2c2,X1)
| ~ incident(bc,a2c2) ),
inference(spm,[status(thm)],[c_0_569,c_0_102]) ).
cnf(c_0_578,plain,
( incident(c2,X1)
| ~ line_equal(a1c1,X1)
| ~ incident(o,a1b1) ),
inference(spm,[status(thm)],[c_0_570,c_0_108]) ).
cnf(c_0_579,plain,
~ incident(c2,a1c1),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_571,c_0_572]),c_0_573]) ).
cnf(c_0_580,plain,
( incident(o,a1c1)
| ~ incident(a1,oc) ),
inference(spm,[status(thm)],[c_0_574,c_0_317]) ).
cnf(c_0_581,plain,
( ~ incident(a2,b1c1)
| ~ incident(b2,a1c1)
| ~ incident(c2,a1b1) ),
inference(sr,[status(thm)],[c_0_575,c_0_104]) ).
cnf(c_0_582,plain,
( incident(c2,a1b1)
| incident(X1,a2c2)
| ~ incident(X1,b1c1) ),
inference(spm,[status(thm)],[c_0_576,c_0_399]) ).
cnf(c_0_583,plain,
~ incident(bc,a2c2),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_577,c_0_256]),c_0_117]) ).
cnf(c_0_584,plain,
~ incident(o,a1b1),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_578,c_0_317]),c_0_579]) ).
cnf(c_0_585,plain,
( incident(o,a1b1)
| ~ incident(a1,oc) ),
inference(spm,[status(thm)],[c_0_563,c_0_580]) ).
cnf(c_0_586,plain,
( ~ incident(b2,a1c1)
| ~ incident(c2,a1b1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_581,c_0_559])]) ).
cnf(c_0_587,plain,
incident(c2,a1b1),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_582,c_0_125]),c_0_583]) ).
cnf(c_0_588,plain,
( point_equal(a1,c2)
| line_equal(b2c2,a1b1)
| ~ incident(c2,a1b1)
| ~ incident(a1,b2c2) ),
inference(spm,[status(thm)],[c_0_445,c_0_109]) ).
cnf(c_0_589,plain,
~ incident(a1,oc),
inference(spm,[status(thm)],[c_0_584,c_0_585]) ).
cnf(c_0_590,plain,
~ incident(b2,a1c1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_586,c_0_587])]) ).
cnf(c_0_591,plain,
( line_equal(b2c2,a1b1)
| ~ incident(c2,a1b1)
| ~ incident(a1,b2c2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_394,c_0_588]),c_0_589]) ).
cnf(c_0_592,plain,
incident(a1,b2c2),
inference(sr,[status(thm)],[c_0_411,c_0_590]) ).
cnf(c_0_593,plain,
line_equal(b2c2,a1b1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_591,c_0_587])]),c_0_592])]) ).
cnf(c_0_594,plain,
( incident(X1,a1b1)
| ~ incident(X1,b2c2) ),
inference(spm,[status(thm)],[c_0_144,c_0_593]) ).
cnf(c_0_595,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_494,c_0_594]),c_0_113])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GEO169+1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n003.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sat Jun 18 15:35:59 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.43 # ENIGMATIC: Selected complete mode:
% 14.09/3.24 # ENIGMATIC: Solved by autoschedule-lgb:
% 14.09/3.24 # No SInE strategy applied
% 14.09/3.24 # Trying AutoSched0 for 150 seconds
% 14.09/3.24 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S05FN
% 14.09/3.24 # and selection function SelectMaxLComplexG.
% 14.09/3.24 #
% 14.09/3.24 # Preprocessing time : 0.023 s
% 14.09/3.24 # Presaturation interreduction done
% 14.09/3.24
% 14.09/3.24 # Proof found!
% 14.09/3.24 # SZS status Theorem
% 14.09/3.24 # SZS output start CNFRefutation
% See solution above
% 14.09/3.25 # Training examples: 0 positive, 0 negative
% 14.09/3.25
% 14.09/3.25 # -------------------------------------------------
% 14.09/3.25 # User time : 0.848 s
% 14.09/3.25 # System time : 0.018 s
% 14.09/3.25 # Total time : 0.866 s
% 14.09/3.25 # Maximum resident set size: 7120 pages
% 14.09/3.25
%------------------------------------------------------------------------------