TSTP Solution File: GEO169+2 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : GEO169+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n028.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 11.27s 2.87s
% Output   : CNFRefutation 11.27s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   69
%            Number of leaves      :   50
% Syntax   : Number of clauses     :  302 (  82 unt; 159 nHn; 302 RR)
%            Number of literals    :  975 ( 609 equ; 260 neg)
%            Maximal clause size   :    8 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   2 prp; 0-2 aty)
%            Number of functors    :   21 (  21 usr;  19 con; 0-2 aty)
%            Number of variables   :  108 (   4 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_3,plain,
    ( goal
    | ~ incident(b1,a2a3)
    | ~ incident(b2,a3a1)
    | ~ incident(b3,a1a2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_fg7rf_h/lgb.p',i_0_3) ).

cnf(i_0_55,negated_conjecture,
    ~ goal,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_fg7rf_h/lgb.p',i_0_55) ).

cnf(i_0_6,plain,
    ( incident(a3,b1b2)
    | incident(b2,a3a1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_fg7rf_h/lgb.p',i_0_6) ).

cnf(i_0_5,plain,
    ( incident(a2,b3b1)
    | incident(b1,a2a3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_fg7rf_h/lgb.p',i_0_5) ).

cnf(i_0_4,plain,
    ( incident(a1,b2b3)
    | incident(b3,a1a2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_fg7rf_h/lgb.p',i_0_4) ).

cnf(i_0_50,plain,
    ( X1 = X2
    | X3 = X4
    | ~ incident(X4,X2)
    | ~ incident(X4,X1)
    | ~ incident(X3,X2)
    | ~ incident(X3,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_fg7rf_h/lgb.p',i_0_50) ).

cnf(i_0_12,plain,
    incident(a1,a3a1),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_fg7rf_h/lgb.p',i_0_12) ).

cnf(i_0_15,plain,
    incident(b2,b2b3),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_fg7rf_h/lgb.p',i_0_15) ).

cnf(i_0_17,plain,
    incident(b3,b3b1),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_fg7rf_h/lgb.p',i_0_17) ).

cnf(i_0_8,plain,
    incident(a2,a1a2),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_fg7rf_h/lgb.p',i_0_8) ).

cnf(i_0_2,plain,
    ( goal
    | ~ incident(a1,b2b3)
    | ~ incident(a2,b3b1)
    | ~ incident(a3,b1b2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_fg7rf_h/lgb.p',i_0_2) ).

cnf(i_0_13,plain,
    incident(b1,b1b2),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_fg7rf_h/lgb.p',i_0_13) ).

cnf(i_0_10,plain,
    incident(a3,a2a3),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_fg7rf_h/lgb.p',i_0_10) ).

cnf(i_0_22,plain,
    incident(a1,s1),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_fg7rf_h/lgb.p',i_0_22) ).

cnf(i_0_19,plain,
    incident(s,s1),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_fg7rf_h/lgb.p',i_0_19) ).

cnf(i_0_18,plain,
    incident(b1,b3b1),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_fg7rf_h/lgb.p',i_0_18) ).

cnf(i_0_25,plain,
    incident(b1,s1),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_fg7rf_h/lgb.p',i_0_25) ).

cnf(i_0_21,plain,
    incident(s,s3),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_fg7rf_h/lgb.p',i_0_21) ).

cnf(i_0_23,plain,
    incident(a2,s2),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_fg7rf_h/lgb.p',i_0_23) ).

cnf(i_0_20,plain,
    incident(s,s2),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_fg7rf_h/lgb.p',i_0_20) ).

cnf(i_0_7,plain,
    incident(a1,a1a2),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_fg7rf_h/lgb.p',i_0_7) ).

cnf(i_0_29,plain,
    incident(p3,b1b2),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_fg7rf_h/lgb.p',i_0_29) ).

cnf(i_0_42,plain,
    ( goal
    | a1a2 != b1b2 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_fg7rf_h/lgb.p',i_0_42) ).

cnf(i_0_26,plain,
    incident(b2,s2),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_fg7rf_h/lgb.p',i_0_26) ).

cnf(i_0_24,plain,
    incident(a3,s3),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_fg7rf_h/lgb.p',i_0_24) ).

cnf(i_0_37,plain,
    ( goal
    | a3 != a2 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_fg7rf_h/lgb.p',i_0_37) ).

cnf(i_0_1,plain,
    ( goal
    | ~ incident(p3,X1)
    | ~ incident(p1,X1)
    | ~ incident(p2,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_fg7rf_h/lgb.p',i_0_1) ).

cnf(i_0_28,plain,
    incident(p3,a1a2),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_fg7rf_h/lgb.p',i_0_28) ).

cnf(i_0_27,plain,
    incident(b3,s3),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_fg7rf_h/lgb.p',i_0_27) ).

cnf(i_0_14,plain,
    incident(b2,b1b2),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_fg7rf_h/lgb.p',i_0_14) ).

cnf(i_0_9,plain,
    incident(a2,a2a3),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_fg7rf_h/lgb.p',i_0_9) ).

cnf(i_0_31,plain,
    incident(p1,b2b3),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_fg7rf_h/lgb.p',i_0_31) ).

cnf(i_0_16,plain,
    incident(b3,b2b3),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_fg7rf_h/lgb.p',i_0_16) ).

cnf(i_0_43,plain,
    ( goal
    | a2a3 != b2b3 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_fg7rf_h/lgb.p',i_0_43) ).

cnf(i_0_33,plain,
    incident(p2,b3b1),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_fg7rf_h/lgb.p',i_0_33) ).

cnf(i_0_30,plain,
    incident(p1,a2a3),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_fg7rf_h/lgb.p',i_0_30) ).

cnf(i_0_44,plain,
    ( goal
    | a3a1 != b3b1 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_fg7rf_h/lgb.p',i_0_44) ).

cnf(i_0_39,plain,
    ( goal
    | b2 != b1 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_fg7rf_h/lgb.p',i_0_39) ).

cnf(i_0_32,plain,
    incident(p2,a3a1),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_fg7rf_h/lgb.p',i_0_32) ).

cnf(i_0_11,plain,
    incident(a3,a3a1),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_fg7rf_h/lgb.p',i_0_11) ).

cnf(i_0_36,plain,
    ( goal
    | a2 != a1 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_fg7rf_h/lgb.p',i_0_36) ).

cnf(i_0_41,plain,
    ( goal
    | b3 != b1 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_fg7rf_h/lgb.p',i_0_41) ).

cnf(i_0_38,plain,
    ( goal
    | a3 != a1 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_fg7rf_h/lgb.p',i_0_38) ).

cnf(i_0_40,plain,
    ( goal
    | b3 != b2 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_fg7rf_h/lgb.p',i_0_40) ).

cnf(i_0_34,plain,
    ( point(X1)
    | ~ incident(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_fg7rf_h/lgb.p',i_0_34) ).

cnf(i_0_52,plain,
    ( incident(X1,esk1_2(X1,X2))
    | ~ point(X2)
    | ~ point(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_fg7rf_h/lgb.p',i_0_52) ).

cnf(i_0_51,plain,
    ( incident(X1,esk1_2(X2,X1))
    | ~ point(X2)
    | ~ point(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_fg7rf_h/lgb.p',i_0_51) ).

cnf(i_0_54,plain,
    ( incident(esk2_2(X1,X2),X1)
    | ~ line(X2)
    | ~ line(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_fg7rf_h/lgb.p',i_0_54) ).

cnf(i_0_35,plain,
    ( line(X1)
    | ~ incident(X2,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_fg7rf_h/lgb.p',i_0_35) ).

cnf(i_0_53,plain,
    ( incident(esk2_2(X1,X2),X2)
    | ~ line(X2)
    | ~ line(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_fg7rf_h/lgb.p',i_0_53) ).

cnf(c_0_106,plain,
    ( goal
    | ~ incident(b1,a2a3)
    | ~ incident(b2,a3a1)
    | ~ incident(b3,a1a2) ),
    i_0_3 ).

cnf(c_0_107,negated_conjecture,
    ~ goal,
    i_0_55 ).

cnf(c_0_108,plain,
    ( ~ incident(b2,a3a1)
    | ~ incident(b1,a2a3)
    | ~ incident(b3,a1a2) ),
    inference(sr,[status(thm)],[c_0_106,c_0_107]) ).

cnf(c_0_109,plain,
    ( incident(a3,b1b2)
    | incident(b2,a3a1) ),
    i_0_6 ).

cnf(c_0_110,plain,
    ( incident(a3,b1b2)
    | ~ incident(b1,a2a3)
    | ~ incident(b3,a1a2) ),
    inference(spm,[status(thm)],[c_0_108,c_0_109]) ).

cnf(c_0_111,plain,
    ( incident(a2,b3b1)
    | incident(b1,a2a3) ),
    i_0_5 ).

cnf(c_0_112,plain,
    ( incident(a2,b3b1)
    | incident(a3,b1b2)
    | ~ incident(b3,a1a2) ),
    inference(spm,[status(thm)],[c_0_110,c_0_111]) ).

cnf(c_0_113,plain,
    ( incident(a1,b2b3)
    | incident(b3,a1a2) ),
    i_0_4 ).

cnf(c_0_114,plain,
    ( X1 = X2
    | X3 = X4
    | ~ incident(X4,X2)
    | ~ incident(X4,X1)
    | ~ incident(X3,X2)
    | ~ incident(X3,X1) ),
    i_0_50 ).

cnf(c_0_115,plain,
    ( incident(a1,b2b3)
    | incident(a3,b1b2)
    | incident(a2,b3b1) ),
    inference(spm,[status(thm)],[c_0_112,c_0_113]) ).

cnf(c_0_116,plain,
    ( X1 = b2b3
    | X2 = a1
    | incident(a2,b3b1)
    | incident(a3,b1b2)
    | ~ incident(a1,X1)
    | ~ incident(X2,b2b3)
    | ~ incident(X2,X1) ),
    inference(spm,[status(thm)],[c_0_114,c_0_115]) ).

cnf(c_0_117,plain,
    incident(a1,a3a1),
    i_0_12 ).

cnf(c_0_118,plain,
    incident(b2,b2b3),
    i_0_15 ).

cnf(c_0_119,plain,
    ( X1 = a1a2
    | X2 = b3
    | incident(a1,b2b3)
    | ~ incident(b3,X1)
    | ~ incident(X2,a1a2)
    | ~ incident(X2,X1) ),
    inference(spm,[status(thm)],[c_0_114,c_0_113]) ).

cnf(c_0_120,plain,
    ( a1 = b2
    | a3a1 = b2b3
    | incident(a3,b1b2)
    | incident(a2,b3b1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_109]),c_0_117]),c_0_118])]) ).

cnf(c_0_121,plain,
    incident(b3,b3b1),
    i_0_17 ).

cnf(c_0_122,plain,
    incident(a2,a1a2),
    i_0_8 ).

cnf(c_0_123,plain,
    ( goal
    | ~ incident(a1,b2b3)
    | ~ incident(a2,b3b1)
    | ~ incident(a3,b1b2) ),
    i_0_2 ).

cnf(c_0_124,plain,
    ( X1 = a3a1
    | X2 = b2
    | incident(a3,b1b2)
    | ~ incident(b2,X1)
    | ~ incident(X2,a3a1)
    | ~ incident(X2,X1) ),
    inference(spm,[status(thm)],[c_0_114,c_0_109]) ).

cnf(c_0_125,plain,
    ( a3a1 = b2b3
    | a1 = b2
    | b3 = a2
    | b3b1 = a1a2
    | incident(a3,b1b2)
    | incident(a1,b2b3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_120]),c_0_121]),c_0_122])]) ).

cnf(c_0_126,plain,
    ( ~ incident(a3,b1b2)
    | ~ incident(a2,b3b1)
    | ~ incident(a1,b2b3) ),
    inference(sr,[status(thm)],[c_0_123,c_0_107]) ).

cnf(c_0_127,plain,
    ( b3b1 = a1a2
    | b3 = a2
    | a1 = b2
    | a3a1 = b2b3
    | incident(a3,b1b2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_125]),c_0_118]),c_0_117])]) ).

cnf(c_0_128,plain,
    ( X1 = a2a3
    | X2 = b1
    | incident(a2,b3b1)
    | ~ incident(b1,X1)
    | ~ incident(X2,a2a3)
    | ~ incident(X2,X1) ),
    inference(spm,[status(thm)],[c_0_114,c_0_111]) ).

cnf(c_0_129,plain,
    incident(b1,b1b2),
    i_0_13 ).

cnf(c_0_130,plain,
    incident(a3,a2a3),
    i_0_10 ).

cnf(c_0_131,plain,
    incident(a1,s1),
    i_0_22 ).

cnf(c_0_132,plain,
    ( a3a1 = b2b3
    | a1 = b2
    | b3 = a2
    | b3b1 = a1a2
    | ~ incident(a2,b3b1)
    | ~ incident(a1,b2b3) ),
    inference(spm,[status(thm)],[c_0_126,c_0_127]) ).

cnf(c_0_133,plain,
    ( a3a1 = b2b3
    | a1 = b2
    | b3 = a2
    | b3b1 = a1a2
    | b1 = a3
    | a2a3 = b1b2
    | incident(a2,b3b1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_127]),c_0_129]),c_0_130])]) ).

cnf(c_0_134,plain,
    incident(s,s1),
    i_0_19 ).

cnf(c_0_135,plain,
    ( X1 = s1
    | X2 = a1
    | ~ incident(a1,X1)
    | ~ incident(X2,s1)
    | ~ incident(X2,X1) ),
    inference(spm,[status(thm)],[c_0_114,c_0_131]) ).

cnf(c_0_136,plain,
    incident(b1,b3b1),
    i_0_18 ).

cnf(c_0_137,plain,
    incident(b1,s1),
    i_0_25 ).

cnf(c_0_138,plain,
    ( a2a3 = b1b2
    | b1 = a3
    | b3b1 = a1a2
    | b3 = a2
    | a1 = b2
    | a3a1 = b2b3
    | ~ incident(a1,b2b3) ),
    inference(spm,[status(thm)],[c_0_132,c_0_133]) ).

cnf(c_0_139,plain,
    incident(s,s3),
    i_0_21 ).

cnf(c_0_140,plain,
    ( X1 = s1
    | X2 = s
    | ~ incident(s,X1)
    | ~ incident(X2,s1)
    | ~ incident(X2,X1) ),
    inference(spm,[status(thm)],[c_0_114,c_0_134]) ).

cnf(c_0_141,plain,
    incident(a2,s2),
    i_0_23 ).

cnf(c_0_142,plain,
    incident(s,s2),
    i_0_20 ).

cnf(c_0_143,plain,
    ( a1 = b1
    | s1 = b3b1
    | ~ incident(a1,b3b1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_136]),c_0_137])]) ).

cnf(c_0_144,plain,
    ( a2a3 = b1b2
    | b1 = a3
    | a1 = b2
    | a3a1 = b2b3
    | b3 = a2
    | b3b1 = a1a2 ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_133]),c_0_121]),c_0_122])]),c_0_138]) ).

cnf(c_0_145,plain,
    incident(a1,a1a2),
    i_0_7 ).

cnf(c_0_146,plain,
    ( X1 = b3b1
    | X2 = b1
    | ~ incident(b1,X1)
    | ~ incident(X2,b3b1)
    | ~ incident(X2,X1) ),
    inference(spm,[status(thm)],[c_0_114,c_0_136]) ).

cnf(c_0_147,plain,
    incident(p3,b1b2),
    i_0_29 ).

cnf(c_0_148,plain,
    ( goal
    | a1a2 != b1b2 ),
    i_0_42 ).

cnf(c_0_149,plain,
    incident(b2,s2),
    i_0_26 ).

cnf(c_0_150,plain,
    ( X1 = s3
    | X2 = s
    | ~ incident(s,X1)
    | ~ incident(X2,s3)
    | ~ incident(X2,X1) ),
    inference(spm,[status(thm)],[c_0_114,c_0_139]) ).

cnf(c_0_151,plain,
    incident(a3,s3),
    i_0_24 ).

cnf(c_0_152,plain,
    ( s = a2
    | s1 = s2
    | ~ incident(a2,s1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_141]),c_0_142])]) ).

cnf(c_0_153,plain,
    ( b3 = a2
    | a3a1 = b2b3
    | a1 = b2
    | b1 = a3
    | a2a3 = b1b2
    | s1 = a1a2
    | a1 = b1 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_144]),c_0_145])]) ).

cnf(c_0_154,plain,
    ( goal
    | a3 != a2 ),
    i_0_37 ).

cnf(c_0_155,plain,
    ( goal
    | ~ incident(p3,X1)
    | ~ incident(p1,X1)
    | ~ incident(p2,X1) ),
    i_0_1 ).

cnf(c_0_156,plain,
    ( p3 = b1
    | b3b1 = b1b2
    | ~ incident(p3,b3b1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_147]),c_0_129])]) ).

cnf(c_0_157,plain,
    incident(p3,a1a2),
    i_0_28 ).

cnf(c_0_158,plain,
    a1a2 != b1b2,
    inference(sr,[status(thm)],[c_0_148,c_0_107]) ).

cnf(c_0_159,plain,
    incident(b3,s3),
    i_0_27 ).

cnf(c_0_160,plain,
    ( X1 = s2
    | X2 = b2
    | ~ incident(b2,X1)
    | ~ incident(X2,s2)
    | ~ incident(X2,X1) ),
    inference(spm,[status(thm)],[c_0_114,c_0_149]) ).

cnf(c_0_161,plain,
    incident(b2,b1b2),
    i_0_14 ).

cnf(c_0_162,plain,
    ( s = a3
    | s3 = a2a3
    | ~ incident(s,a2a3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_130]),c_0_151])]) ).

cnf(c_0_163,plain,
    ( a1 = b1
    | a2a3 = b1b2
    | b1 = a3
    | a1 = b2
    | a3a1 = b2b3
    | b3 = a2
    | s2 = a1a2
    | s = a2 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_153]),c_0_122])]) ).

cnf(c_0_164,plain,
    incident(a2,a2a3),
    i_0_9 ).

cnf(c_0_165,plain,
    a2 != a3,
    inference(sr,[status(thm)],[c_0_154,c_0_107]) ).

cnf(c_0_166,plain,
    ( ~ incident(p3,X1)
    | ~ incident(p1,X1)
    | ~ incident(p2,X1) ),
    inference(sr,[status(thm)],[c_0_155,c_0_107]) ).

cnf(c_0_167,plain,
    ( b3 = a2
    | a3a1 = b2b3
    | a1 = b2
    | b1 = a3
    | a2a3 = b1b2
    | p3 = b1 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_144]),c_0_157])]),c_0_158]) ).

cnf(c_0_168,plain,
    ( X1 = s3
    | X2 = b3
    | ~ incident(b3,X1)
    | ~ incident(X2,s3)
    | ~ incident(X2,X1) ),
    inference(spm,[status(thm)],[c_0_114,c_0_159]) ).

cnf(c_0_169,plain,
    incident(p1,b2b3),
    i_0_31 ).

cnf(c_0_170,plain,
    incident(b3,b2b3),
    i_0_16 ).

cnf(c_0_171,plain,
    ( p3 = b2
    | s2 = b1b2
    | ~ incident(p3,s2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_147]),c_0_161])]) ).

cnf(c_0_172,plain,
    ( s2 = a1a2
    | b3 = a2
    | a3a1 = b2b3
    | a1 = b2
    | b1 = a3
    | a2a3 = b1b2
    | a1 = b1
    | s3 = a2a3 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_163]),c_0_164])]),c_0_165]) ).

cnf(c_0_173,plain,
    ( goal
    | a2a3 != b2b3 ),
    i_0_43 ).

cnf(c_0_174,plain,
    ( a2a3 = b1b2
    | b1 = a3
    | a1 = b2
    | a3a1 = b2b3
    | b3 = a2
    | ~ incident(b1,X1)
    | ~ incident(p1,X1)
    | ~ incident(p2,X1) ),
    inference(spm,[status(thm)],[c_0_166,c_0_167]) ).

cnf(c_0_175,plain,
    incident(p2,b3b1),
    i_0_33 ).

cnf(c_0_176,plain,
    ( p1 = b3
    | s3 = b2b3
    | ~ incident(p1,s3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_169]),c_0_170])]) ).

cnf(c_0_177,plain,
    ( s3 = a2a3
    | a1 = b1
    | a2a3 = b1b2
    | b1 = a3
    | a1 = b2
    | a3a1 = b2b3
    | b3 = a2
    | p3 = b2 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_172]),c_0_157])]),c_0_158]) ).

cnf(c_0_178,plain,
    incident(p1,a2a3),
    i_0_30 ).

cnf(c_0_179,plain,
    b2b3 != a2a3,
    inference(sr,[status(thm)],[c_0_173,c_0_107]) ).

cnf(c_0_180,plain,
    ( goal
    | a3a1 != b3b1 ),
    i_0_44 ).

cnf(c_0_181,plain,
    ( b3 = a2
    | a3a1 = b2b3
    | a1 = b2
    | b1 = a3
    | a2a3 = b1b2
    | ~ incident(p1,b3b1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_136]),c_0_175])]) ).

cnf(c_0_182,plain,
    ( p3 = b2
    | b3 = a2
    | a3a1 = b2b3
    | a1 = b2
    | b1 = a3
    | a2a3 = b1b2
    | a1 = b1
    | p1 = b3 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_177]),c_0_178])]),c_0_179]) ).

cnf(c_0_183,plain,
    ( goal
    | b2 != b1 ),
    i_0_39 ).

cnf(c_0_184,plain,
    ( X1 = b3b1
    | X2 = b3
    | ~ incident(b3,X1)
    | ~ incident(X2,b3b1)
    | ~ incident(X2,X1) ),
    inference(spm,[status(thm)],[c_0_114,c_0_121]) ).

cnf(c_0_185,plain,
    incident(p2,a3a1),
    i_0_32 ).

cnf(c_0_186,plain,
    b3b1 != a3a1,
    inference(sr,[status(thm)],[c_0_180,c_0_107]) ).

cnf(c_0_187,plain,
    ( a1 = b1
    | p3 = b2
    | a2a3 = b1b2
    | b1 = a3
    | a1 = b2
    | a3a1 = b2b3
    | b3 = a2 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_182]),c_0_121])]) ).

cnf(c_0_188,plain,
    b1 != b2,
    inference(sr,[status(thm)],[c_0_183,c_0_107]) ).

cnf(c_0_189,plain,
    incident(a3,a3a1),
    i_0_11 ).

cnf(c_0_190,plain,
    ( X1 = s3
    | X2 = a3
    | ~ incident(a3,X1)
    | ~ incident(X2,s3)
    | ~ incident(X2,X1) ),
    inference(spm,[status(thm)],[c_0_114,c_0_151]) ).

cnf(c_0_191,plain,
    ( p2 = b3
    | ~ incident(b3,a3a1) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_185]),c_0_175])]),c_0_186]) ).

cnf(c_0_192,plain,
    ( a1 = b1
    | a2a3 = b1b2
    | b1 = a3
    | a1 = b2
    | a3a1 = b2b3
    | b3 = a2 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_187]),c_0_188]) ).

cnf(c_0_193,plain,
    ( b3 = a3
    | s3 = a3a1
    | ~ incident(b3,a3a1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_189]),c_0_151])]) ).

cnf(c_0_194,plain,
    ( p2 = a3
    | s3 = a3a1
    | ~ incident(p2,s3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_190,c_0_185]),c_0_189])]) ).

cnf(c_0_195,plain,
    ( b3 = a2
    | a1 = b2
    | b1 = a3
    | a2a3 = b1b2
    | a1 = b1
    | p2 = b3 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_192]),c_0_170])]) ).

cnf(c_0_196,plain,
    ( s = b2
    | s2 = s3
    | ~ incident(b2,s3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_149]),c_0_142])]) ).

cnf(c_0_197,plain,
    ( b3 = a2
    | a1 = b2
    | b1 = a3
    | a2a3 = b1b2
    | a1 = b1
    | s3 = b2b3
    | b3 = a3 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_193,c_0_192]),c_0_170])]) ).

cnf(c_0_198,plain,
    ( X1 = s2
    | X2 = s
    | ~ incident(s,X1)
    | ~ incident(X2,s2)
    | ~ incident(X2,X1) ),
    inference(spm,[status(thm)],[c_0_114,c_0_142]) ).

cnf(c_0_199,plain,
    ( s = a1
    | s1 = s3
    | ~ incident(a1,s3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_131]),c_0_134])]) ).

cnf(c_0_200,plain,
    ( a1 = b1
    | a2a3 = b1b2
    | b1 = a3
    | a1 = b2
    | b3 = a2
    | s3 = a3a1
    | b3 = a3 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_195]),c_0_159])]) ).

cnf(c_0_201,plain,
    ( goal
    | a2 != a1 ),
    i_0_36 ).

cnf(c_0_202,plain,
    ( s = b1
    | s1 = b1b2
    | ~ incident(s,b1b2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_129]),c_0_137])]) ).

cnf(c_0_203,plain,
    ( b3 = a3
    | a1 = b1
    | a2a3 = b1b2
    | b1 = a3
    | a1 = b2
    | b3 = a2
    | s2 = b2b3
    | s = b2 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_196,c_0_197]),c_0_118])]) ).

cnf(c_0_204,plain,
    ( X1 = s1
    | X2 = b1
    | ~ incident(b1,X1)
    | ~ incident(X2,s1)
    | ~ incident(X2,X1) ),
    inference(spm,[status(thm)],[c_0_114,c_0_137]) ).

cnf(c_0_205,plain,
    ( s = a2
    | s2 = a1a2
    | ~ incident(s,a1a2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_198,c_0_122]),c_0_141])]) ).

cnf(c_0_206,plain,
    ( b3 = a3
    | b3 = a2
    | a1 = b2
    | b1 = a3
    | a2a3 = b1b2
    | a1 = b1
    | s1 = a3a1
    | s = a1 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_199,c_0_200]),c_0_117])]) ).

cnf(c_0_207,plain,
    a1 != a2,
    inference(sr,[status(thm)],[c_0_201,c_0_107]) ).

cnf(c_0_208,plain,
    ( X1 = a3a1
    | X2 = a3
    | ~ incident(a3,X1)
    | ~ incident(X2,a3a1)
    | ~ incident(X2,X1) ),
    inference(spm,[status(thm)],[c_0_114,c_0_189]) ).

cnf(c_0_209,plain,
    ( X1 = s2
    | X2 = a2
    | ~ incident(a2,X1)
    | ~ incident(X2,s2)
    | ~ incident(X2,X1) ),
    inference(spm,[status(thm)],[c_0_114,c_0_141]) ).

cnf(c_0_210,plain,
    ( p3 = a1
    | s1 = a1a2
    | ~ incident(p3,s1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_157]),c_0_145])]) ).

cnf(c_0_211,plain,
    ( s2 = b2b3
    | b3 = a2
    | a1 = b2
    | b1 = a3
    | a2a3 = b1b2
    | a1 = b1
    | b3 = a3
    | s1 = b1b2 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_203]),c_0_161])]),c_0_188]) ).

cnf(c_0_212,plain,
    ( p2 = b1
    | s1 = b3b1
    | ~ incident(p2,s1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_204,c_0_175]),c_0_136])]) ).

cnf(c_0_213,plain,
    ( s1 = a3a1
    | a1 = b1
    | a2a3 = b1b2
    | b1 = a3
    | a1 = b2
    | b3 = a2
    | b3 = a3
    | s2 = a1a2 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_205,c_0_206]),c_0_145])]),c_0_207]) ).

cnf(c_0_214,plain,
    ( p1 = a3
    | a3a1 = a2a3
    | ~ incident(p1,a3a1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_178]),c_0_130])]) ).

cnf(c_0_215,plain,
    ( p1 = a2
    | s2 = a2a3
    | ~ incident(p1,s2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_209,c_0_178]),c_0_164])]) ).

cnf(c_0_216,plain,
    ( b3 = a3
    | a1 = b1
    | a2a3 = b1b2
    | b1 = a3
    | a1 = b2
    | b3 = a2
    | s2 = b2b3
    | p3 = a1 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_210,c_0_211]),c_0_147])]),c_0_158]) ).

cnf(c_0_217,plain,
    ( s2 = a1a2
    | b3 = a3
    | b3 = a2
    | a1 = b2
    | b1 = a3
    | a2a3 = b1b2
    | a1 = b1
    | p2 = b1 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_212,c_0_213]),c_0_185])]),c_0_186]) ).

cnf(c_0_218,plain,
    ( goal
    | b3 != b1 ),
    i_0_41 ).

cnf(c_0_219,plain,
    ( b3 = a2
    | a1 = b2
    | b1 = a3
    | a2a3 = b1b2
    | a1 = b1
    | p1 = a3 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_214,c_0_192]),c_0_169])]),c_0_179]) ).

cnf(c_0_220,plain,
    ( p3 = a1
    | b3 = a2
    | a1 = b2
    | b1 = a3
    | a2a3 = b1b2
    | a1 = b1
    | b3 = a3
    | p1 = a2 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_215,c_0_216]),c_0_169])]),c_0_179]) ).

cnf(c_0_221,plain,
    ( p2 = b1
    | a1 = b1
    | a2a3 = b1b2
    | b1 = a3
    | a1 = b2
    | b3 = a2
    | b3 = a3
    | p3 = b2 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_217]),c_0_157])]),c_0_158]) ).

cnf(c_0_222,plain,
    b3 != b1,
    inference(sr,[status(thm)],[c_0_218,c_0_107]) ).

cnf(c_0_223,plain,
    ( X1 = b2b3
    | X2 = b2
    | ~ incident(b2,X1)
    | ~ incident(X2,b2b3)
    | ~ incident(X2,X1) ),
    inference(spm,[status(thm)],[c_0_114,c_0_118]) ).

cnf(c_0_224,plain,
    ( b3 = a3
    | p3 = a1
    | a1 = b1
    | a2a3 = b1b2
    | b1 = a3
    | a1 = b2
    | b3 = a2 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_219,c_0_220]),c_0_165]) ).

cnf(c_0_225,plain,
    ( p3 = b2
    | b3 = a3
    | a1 = b1
    | a2a3 = b1b2
    | b1 = a3
    | a1 = b2
    | b3 = a2 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_195,c_0_221]),c_0_222]) ).

cnf(c_0_226,plain,
    ( p1 = b2
    | ~ incident(b2,a2a3) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_223,c_0_178]),c_0_169])]),c_0_179]) ).

cnf(c_0_227,plain,
    ( b3 = a2
    | b1 = a3
    | a2a3 = b1b2
    | a1 = b1
    | a1 = b2
    | b3 = a3 ),
    inference(spm,[status(thm)],[c_0_224,c_0_225]) ).

cnf(c_0_228,plain,
    ( b3 = a3
    | a1 = b2
    | a1 = b1
    | b1 = a3
    | b3 = a2
    | p1 = b2 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_226,c_0_227]),c_0_161])]) ).

cnf(c_0_229,plain,
    ( s = a3
    | s2 = s3
    | ~ incident(a3,s2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_198,c_0_151]),c_0_139])]) ).

cnf(c_0_230,plain,
    ( b3 = a2
    | b1 = a3
    | a1 = b1
    | a1 = b2
    | b3 = a3
    | s2 = a2a3
    | a2 = b2 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_215,c_0_228]),c_0_149])]) ).

cnf(c_0_231,plain,
    ( goal
    | a3 != a1 ),
    i_0_38 ).

cnf(c_0_232,plain,
    ( s = a1
    | s1 = a3a1
    | ~ incident(s,a3a1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_117]),c_0_131])]) ).

cnf(c_0_233,plain,
    ( a2 = b2
    | b3 = a3
    | a1 = b2
    | a1 = b1
    | b1 = a3
    | b3 = a2
    | s3 = a2a3
    | s = a3 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_229,c_0_230]),c_0_130])]) ).

cnf(c_0_234,plain,
    a1 != a3,
    inference(sr,[status(thm)],[c_0_231,c_0_107]) ).

cnf(c_0_235,plain,
    ( s3 = a2a3
    | b3 = a2
    | b1 = a3
    | a1 = b1
    | a1 = b2
    | b3 = a3
    | a2 = b2
    | s1 = a3a1 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_232,c_0_233]),c_0_189])]),c_0_234]) ).

cnf(c_0_236,plain,
    ( ~ incident(p1,b1b2)
    | ~ incident(p2,b1b2) ),
    inference(spm,[status(thm)],[c_0_166,c_0_147]) ).

cnf(c_0_237,plain,
    ( a2 = b2
    | b3 = a3
    | a1 = b2
    | a1 = b1
    | b1 = a3
    | b3 = a2
    | s3 = a2a3
    | p2 = b1 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_212,c_0_235]),c_0_185])]),c_0_186]) ).

cnf(c_0_238,plain,
    ( goal
    | b3 != b2 ),
    i_0_40 ).

cnf(c_0_239,plain,
    ( b3 = a2
    | b1 = a3
    | a1 = b1
    | a1 = b2
    | b3 = a3
    | ~ incident(p2,b1b2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_236,c_0_228]),c_0_161])]) ).

cnf(c_0_240,plain,
    ( p2 = b1
    | b3 = a2
    | b1 = a3
    | a1 = b1
    | a1 = b2
    | b3 = a3
    | a2 = b2
    | p1 = b3 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_237]),c_0_178])]),c_0_179]) ).

cnf(c_0_241,plain,
    ( X1 = b2b3
    | X2 = b3
    | ~ incident(b3,X1)
    | ~ incident(X2,b2b3)
    | ~ incident(X2,X1) ),
    inference(spm,[status(thm)],[c_0_114,c_0_170]) ).

cnf(c_0_242,plain,
    b3 != b2,
    inference(sr,[status(thm)],[c_0_238,c_0_107]) ).

cnf(c_0_243,plain,
    ( p1 = b3
    | a2 = b2
    | b3 = a3
    | a1 = b2
    | a1 = b1
    | b1 = a3
    | b3 = a2 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_239,c_0_240]),c_0_129])]) ).

cnf(c_0_244,plain,
    ( s2 = b2b3
    | ~ incident(b3,s2) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_241,c_0_149]),c_0_118])]),c_0_242]) ).

cnf(c_0_245,plain,
    ( a2 = b2
    | b3 = a2
    | b1 = a3
    | a1 = b1
    | a1 = b2
    | b3 = a3 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_243]),c_0_242]) ).

cnf(c_0_246,plain,
    ( s = b3
    | s2 = s3
    | ~ incident(b3,s2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_198,c_0_159]),c_0_139])]) ).

cnf(c_0_247,plain,
    ( b3 = a3
    | a1 = b2
    | a1 = b1
    | b1 = a3
    | a2 = b2
    | s2 = b2b3 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_244,c_0_245]),c_0_141])]) ).

cnf(c_0_248,plain,
    ( s = b1
    | s1 = b3b1
    | ~ incident(s,b3b1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_136]),c_0_137])]) ).

cnf(c_0_249,plain,
    ( a2 = b2
    | b1 = a3
    | a1 = b1
    | a1 = b2
    | b3 = a3
    | s3 = b2b3
    | s = b3 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_246,c_0_247]),c_0_170])]) ).

cnf(c_0_250,plain,
    ( p1 = b3
    | ~ incident(b3,a2a3) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_241,c_0_178]),c_0_169])]),c_0_179]) ).

cnf(c_0_251,plain,
    ( b3 = a3
    | s3 = a2a3
    | ~ incident(b3,a2a3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_130]),c_0_151])]) ).

cnf(c_0_252,plain,
    ( p2 = a1
    | s1 = a3a1
    | ~ incident(p2,s1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_185]),c_0_117])]) ).

cnf(c_0_253,plain,
    ( s3 = b2b3
    | b3 = a3
    | a1 = b2
    | a1 = b1
    | b1 = a3
    | a2 = b2
    | s1 = b3b1 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_248,c_0_249]),c_0_121])]),c_0_222]) ).

cnf(c_0_254,plain,
    ( point(X1)
    | ~ incident(X1,X2) ),
    i_0_34 ).

cnf(c_0_255,plain,
    ( ~ incident(p1,a1a2)
    | ~ incident(p2,a1a2) ),
    inference(spm,[status(thm)],[c_0_166,c_0_157]) ).

cnf(c_0_256,plain,
    ( b3 = a3
    | a1 = b2
    | a1 = b1
    | b1 = a3
    | a2 = b2
    | p1 = a2 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_250,c_0_245]),c_0_164])]) ).

cnf(c_0_257,plain,
    ( b3 = a3
    | a1 = b2
    | a1 = b1
    | b1 = a3
    | a2 = b2
    | s3 = a2a3 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_251,c_0_245]),c_0_164])]),c_0_165]) ).

cnf(c_0_258,plain,
    ( a2 = b2
    | b1 = a3
    | a1 = b1
    | a1 = b2
    | b3 = a3
    | s3 = b2b3
    | p2 = a1 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_252,c_0_253]),c_0_175])]),c_0_186]) ).

cnf(c_0_259,plain,
    ( incident(X1,esk1_2(X1,X2))
    | ~ point(X2)
    | ~ point(X1) ),
    i_0_52 ).

cnf(c_0_260,plain,
    point(p3),
    inference(spm,[status(thm)],[c_0_254,c_0_157]) ).

cnf(c_0_261,plain,
    ( a2 = b2
    | b1 = a3
    | a1 = b1
    | a1 = b2
    | b3 = a3
    | ~ incident(p2,a1a2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_255,c_0_256]),c_0_122])]) ).

cnf(c_0_262,plain,
    ( p2 = a1
    | a2 = b2
    | b1 = a3
    | a1 = b1
    | a1 = b2
    | b3 = a3 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_257,c_0_258]),c_0_179]) ).

cnf(c_0_263,plain,
    ( ~ point(X1)
    | ~ incident(p1,esk1_2(p3,X1))
    | ~ incident(p2,esk1_2(p3,X1)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_259]),c_0_260])]) ).

cnf(c_0_264,plain,
    ( incident(X1,esk1_2(X2,X1))
    | ~ point(X2)
    | ~ point(X1) ),
    i_0_51 ).

cnf(c_0_265,plain,
    point(p1),
    inference(spm,[status(thm)],[c_0_254,c_0_178]) ).

cnf(c_0_266,plain,
    ( b3 = a3
    | a1 = b2
    | a1 = b1
    | b1 = a3
    | a2 = b2 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_261,c_0_262]),c_0_145])]) ).

cnf(c_0_267,plain,
    ~ incident(p2,esk1_2(p3,p1)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_263,c_0_264]),c_0_265]),c_0_260])]) ).

cnf(c_0_268,plain,
    ( a2 = b2
    | b1 = a3
    | a1 = b1
    | a1 = b2
    | p1 = a3 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_250,c_0_266]),c_0_130])]) ).

cnf(c_0_269,plain,
    ( a1 = b2
    | a1 = b1
    | b1 = a3
    | a2 = b2
    | ~ incident(p2,esk1_2(p3,a3)) ),
    inference(spm,[status(thm)],[c_0_267,c_0_268]) ).

cnf(c_0_270,plain,
    ( a2 = b2
    | b1 = a3
    | a1 = b1
    | a1 = b2
    | p2 = a3 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_266]),c_0_189])]) ).

cnf(c_0_271,plain,
    ( X1 = a1a2
    | X2 = a1
    | ~ incident(a1,X1)
    | ~ incident(X2,a1a2)
    | ~ incident(X2,X1) ),
    inference(spm,[status(thm)],[c_0_114,c_0_145]) ).

cnf(c_0_272,plain,
    ( a2 = b2
    | b1 = a3
    | a1 = b1
    | a1 = b2
    | ~ incident(a3,esk1_2(p3,a3)) ),
    inference(spm,[status(thm)],[c_0_269,c_0_270]) ).

cnf(c_0_273,plain,
    point(a3),
    inference(spm,[status(thm)],[c_0_254,c_0_189]) ).

cnf(c_0_274,plain,
    ( p3 = a1
    | ~ incident(a1,b1b2) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_271,c_0_147]),c_0_157])]),c_0_158]) ).

cnf(c_0_275,plain,
    ( a1 = b2
    | a1 = b1
    | b1 = a3
    | a2 = b2 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_272,c_0_264]),c_0_260]),c_0_273])]) ).

cnf(c_0_276,plain,
    ( X1 = a3a1
    | X2 = a1
    | ~ incident(a1,X1)
    | ~ incident(X2,a3a1)
    | ~ incident(X2,X1) ),
    inference(spm,[status(thm)],[c_0_114,c_0_117]) ).

cnf(c_0_277,plain,
    ( a2 = b2
    | b1 = a3
    | a1 = b2
    | p3 = b1 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_274,c_0_275]),c_0_129])]) ).

cnf(c_0_278,plain,
    ( p2 = a1
    | ~ incident(a1,b3b1) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_276,c_0_175]),c_0_185])]),c_0_186]) ).

cnf(c_0_279,plain,
    ( a1 = b2
    | b1 = a3
    | a2 = b2
    | ~ incident(p2,esk1_2(b1,p1)) ),
    inference(spm,[status(thm)],[c_0_267,c_0_277]) ).

cnf(c_0_280,plain,
    ( a2 = b2
    | b1 = a3
    | a1 = b2
    | p2 = b1 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_278,c_0_275]),c_0_136])]) ).

cnf(c_0_281,plain,
    ( a2 = b2
    | b1 = a3
    | a1 = b2
    | ~ incident(b1,esk1_2(b1,p1)) ),
    inference(spm,[status(thm)],[c_0_279,c_0_280]) ).

cnf(c_0_282,plain,
    point(b1),
    inference(spm,[status(thm)],[c_0_254,c_0_129]) ).

cnf(c_0_283,plain,
    ( incident(esk2_2(X1,X2),X1)
    | ~ line(X2)
    | ~ line(X1) ),
    i_0_54 ).

cnf(c_0_284,plain,
    ( line(X1)
    | ~ incident(X2,X1) ),
    i_0_35 ).

cnf(c_0_285,plain,
    ( a1 = b1
    | s1 = b1b2
    | ~ incident(a1,b1b2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_129]),c_0_137])]) ).

cnf(c_0_286,plain,
    ( a1 = b2
    | b1 = a3
    | a2 = b2 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_281,c_0_259]),c_0_265]),c_0_282])]) ).

cnf(c_0_287,plain,
    ( X1 = esk2_2(X2,X3)
    | X4 = X2
    | ~ line(X3)
    | ~ incident(esk2_2(X2,X3),X4)
    | ~ incident(X1,X2)
    | ~ incident(X1,X4) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_283]),c_0_284]) ).

cnf(c_0_288,plain,
    ( s = b2
    | s1 = s2
    | ~ incident(b2,s1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_149]),c_0_142])]) ).

cnf(c_0_289,plain,
    ( a2 = b2
    | b1 = a3
    | s1 = b1b2 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_285,c_0_286]),c_0_161])]),c_0_188]) ).

cnf(c_0_290,plain,
    ( esk2_2(b2b3,X1) = p1
    | X2 = b2b3
    | ~ line(X1)
    | ~ incident(esk2_2(b2b3,X1),X2)
    | ~ incident(p1,X2) ),
    inference(spm,[status(thm)],[c_0_287,c_0_169]) ).

cnf(c_0_291,plain,
    ( s2 = a1a2
    | ~ incident(a1,s2) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_271,c_0_141]),c_0_122])]),c_0_207]) ).

cnf(c_0_292,plain,
    ( s = b3
    | s3 = b2b3
    | ~ incident(s,b2b3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_170]),c_0_159])]) ).

cnf(c_0_293,plain,
    ( b1 = a3
    | a2 = b2
    | s2 = b1b2
    | s = b2 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_288,c_0_289]),c_0_161])]) ).

cnf(c_0_294,plain,
    ( incident(esk2_2(X1,X2),X2)
    | ~ line(X2)
    | ~ line(X1) ),
    i_0_53 ).

cnf(c_0_295,plain,
    ( esk2_2(b2b3,X1) = p1
    | ~ line(X1)
    | ~ incident(esk2_2(b2b3,X1),a2a3) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_290,c_0_178]),c_0_179]) ).

cnf(c_0_296,plain,
    line(a2a3),
    inference(spm,[status(thm)],[c_0_284,c_0_178]) ).

cnf(c_0_297,plain,
    line(b2b3),
    inference(spm,[status(thm)],[c_0_284,c_0_169]) ).

cnf(c_0_298,plain,
    ( a2 = b2
    | b1 = a3
    | s2 = a1a2 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_291,c_0_286]),c_0_149])]) ).

cnf(c_0_299,plain,
    ( s2 = b1b2
    | a2 = b2
    | b1 = a3
    | s3 = b2b3 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_292,c_0_293]),c_0_118])]),c_0_242]) ).

cnf(c_0_300,plain,
    ( esk1_2(X1,X2) = a3a1
    | X2 = a1
    | ~ point(X1)
    | ~ incident(a1,esk1_2(X1,X2))
    | ~ incident(X2,a3a1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_276,c_0_264]),c_0_254]) ).

cnf(c_0_301,plain,
    ( esk2_2(X1,X2) = esk2_2(X2,X3)
    | X4 = X2
    | ~ line(X3)
    | ~ line(X2)
    | ~ line(X1)
    | ~ incident(esk2_2(X2,X3),X4)
    | ~ incident(esk2_2(X1,X2),X4) ),
    inference(spm,[status(thm)],[c_0_287,c_0_294]) ).

cnf(c_0_302,plain,
    esk2_2(b2b3,a2a3) = p1,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_295,c_0_294]),c_0_296]),c_0_297])]) ).

cnf(c_0_303,plain,
    ( b1 = a3
    | a2 = b2
    | p3 = a1 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_210,c_0_289]),c_0_147])]),c_0_158]) ).

cnf(c_0_304,plain,
    ( p1 = a3
    | s3 = a2a3
    | ~ incident(p1,s3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_190,c_0_178]),c_0_130])]) ).

cnf(c_0_305,plain,
    ( s3 = b2b3
    | b1 = a3
    | a2 = b2 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_298,c_0_299]),c_0_158]) ).

cnf(c_0_306,plain,
    ( esk1_2(X1,a3) = a3a1
    | ~ point(X1)
    | ~ incident(a1,esk1_2(X1,a3)) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_300,c_0_189]),c_0_234]) ).

cnf(c_0_307,plain,
    point(a1),
    inference(spm,[status(thm)],[c_0_254,c_0_117]) ).

cnf(c_0_308,plain,
    ( esk2_2(X1,b2b3) = p1
    | X2 = b2b3
    | ~ line(X1)
    | ~ incident(esk2_2(X1,b2b3),X2)
    | ~ incident(p1,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_301,c_0_302]),c_0_296]),c_0_297])]) ).

cnf(c_0_309,plain,
    ( a2 = b2
    | b1 = a3
    | ~ incident(p2,esk1_2(a1,p1)) ),
    inference(spm,[status(thm)],[c_0_267,c_0_303]) ).

cnf(c_0_310,plain,
    ( a2 = b2
    | b1 = a3
    | p1 = a3 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_304,c_0_305]),c_0_169])]),c_0_179]) ).

cnf(c_0_311,plain,
    esk1_2(a1,a3) = a3a1,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_306,c_0_259]),c_0_307]),c_0_273])]) ).

cnf(c_0_312,plain,
    ( esk1_2(X1,p1) = b2b3
    | esk2_2(X2,b2b3) = p1
    | ~ point(X1)
    | ~ line(X2)
    | ~ incident(esk2_2(X2,b2b3),esk1_2(X1,p1)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_308,c_0_264]),c_0_265])]) ).

cnf(c_0_313,plain,
    ( s3 = b3b1
    | ~ incident(b1,s3) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_136]),c_0_121])]),c_0_222]) ).

cnf(c_0_314,plain,
    ( b1 = a3
    | a2 = b2 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_309,c_0_310]),c_0_311]),c_0_185])]) ).

cnf(c_0_315,plain,
    ( esk2_2(esk1_2(X1,p1),b2b3) = p1
    | esk1_2(X1,p1) = b2b3
    | ~ point(X1)
    | ~ line(esk1_2(X1,p1)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_312,c_0_283]),c_0_297])]) ).

cnf(c_0_316,plain,
    ( line(esk1_2(X1,X2))
    | ~ point(X1)
    | ~ point(X2) ),
    inference(spm,[status(thm)],[c_0_284,c_0_264]) ).

cnf(c_0_317,plain,
    ( s = b1
    | s1 = s3
    | ~ incident(b1,s3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_137]),c_0_134])]) ).

cnf(c_0_318,plain,
    ( a2 = b2
    | s3 = b3b1 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_313,c_0_314]),c_0_151])]) ).

cnf(c_0_319,plain,
    ( esk2_2(esk1_2(X1,p1),b2b3) = p1
    | esk1_2(X1,p1) = b2b3
    | ~ point(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_315,c_0_316]),c_0_265])]) ).

cnf(c_0_320,plain,
    ( a1 = b1
    | s1 = a3a1
    | ~ incident(b1,a3a1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_276,c_0_137]),c_0_131])]) ).

cnf(c_0_321,plain,
    ( s = b2
    | s2 = b1b2
    | ~ incident(s,b1b2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_198,c_0_161]),c_0_149])]) ).

cnf(c_0_322,plain,
    ( a2 = b2
    | s1 = b3b1
    | s = b1 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_317,c_0_318]),c_0_136])]) ).

cnf(c_0_323,plain,
    ( esk1_2(X1,p1) = b2b3
    | incident(p1,esk1_2(X1,p1))
    | ~ point(X1)
    | ~ line(esk1_2(X1,p1)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_283,c_0_319]),c_0_297])]) ).

cnf(c_0_324,plain,
    ( p2 = b1
    | ~ incident(b1,a3a1) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_185]),c_0_175])]),c_0_186]) ).

cnf(c_0_325,plain,
    ( a2 = b2
    | s1 = a3a1 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_320,c_0_314]),c_0_189])]),c_0_234]) ).

cnf(c_0_326,plain,
    ( s1 = b3b1
    | a2 = b2
    | s2 = b1b2 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_322]),c_0_129])]),c_0_188]) ).

cnf(c_0_327,plain,
    ( X1 = a2a3
    | X2 = a2
    | ~ incident(a2,X1)
    | ~ incident(X2,a2a3)
    | ~ incident(X2,X1) ),
    inference(spm,[status(thm)],[c_0_114,c_0_164]) ).

cnf(c_0_328,plain,
    ( esk1_2(X1,p1) = b2b3
    | incident(p1,esk1_2(X1,p1))
    | ~ point(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_323,c_0_316]),c_0_265])]) ).

cnf(c_0_329,plain,
    ( a2 = b2
    | p2 = a3 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_324,c_0_314]),c_0_189])]) ).

cnf(c_0_330,plain,
    ( p3 = a2
    | s2 = a1a2
    | ~ incident(p3,s2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_209,c_0_157]),c_0_122])]) ).

cnf(c_0_331,plain,
    ( s2 = b1b2
    | a2 = b2 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_325,c_0_326]),c_0_186]) ).

cnf(c_0_332,plain,
    ( esk1_2(X1,p1) = b2b3
    | esk1_2(X1,p1) = a2a3
    | p1 = a2
    | ~ point(X1)
    | ~ incident(a2,esk1_2(X1,p1)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_327,c_0_328]),c_0_178])]) ).

cnf(c_0_333,plain,
    point(a2),
    inference(spm,[status(thm)],[c_0_254,c_0_164]) ).

cnf(c_0_334,plain,
    ( a2 = b2
    | ~ incident(a3,esk1_2(p3,p1)) ),
    inference(spm,[status(thm)],[c_0_267,c_0_329]) ).

cnf(c_0_335,plain,
    ( a2 = b2
    | p3 = a2 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_330,c_0_331]),c_0_147])]),c_0_158]) ).

cnf(c_0_336,plain,
    ( esk1_2(a2,p1) = a2a3
    | esk1_2(a2,p1) = b2b3
    | p1 = a2 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_332,c_0_259]),c_0_333]),c_0_265])]) ).

cnf(c_0_337,plain,
    ( p1 = a2
    | ~ incident(a2,b2b3) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_327,c_0_169]),c_0_178])]),c_0_179]) ).

cnf(c_0_338,plain,
    ( s = a3
    | s1 = s3
    | ~ incident(a3,s1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_151]),c_0_139])]) ).

cnf(c_0_339,plain,
    ( a2 = b2
    | ~ incident(a3,esk1_2(a2,p1)) ),
    inference(spm,[status(thm)],[c_0_334,c_0_335]) ).

cnf(c_0_340,plain,
    ( esk1_2(a2,p1) = a2a3
    | p1 = a2 ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_259,c_0_336]),c_0_265]),c_0_333])]),c_0_337]) ).

cnf(c_0_341,plain,
    ( s = a2
    | s2 = a2a3
    | ~ incident(s,a2a3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_198,c_0_164]),c_0_141])]) ).

cnf(c_0_342,plain,
    ( a2 = b2
    | s3 = a3a1
    | s = a3 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_338,c_0_325]),c_0_189])]) ).

cnf(c_0_343,plain,
    ( p1 = b2
    | s2 = b2b3
    | ~ incident(p1,s2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_169]),c_0_118])]) ).

cnf(c_0_344,plain,
    ( p1 = a2
    | a2 = b2 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_339,c_0_340]),c_0_130])]) ).

cnf(c_0_345,plain,
    ( s3 = a3a1
    | a2 = b2
    | s2 = a2a3 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_341,c_0_342]),c_0_130])]),c_0_165]) ).

cnf(c_0_346,plain,
    ( s2 = b2b3
    | a2 = b2 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_343,c_0_344]),c_0_141])]) ).

cnf(c_0_347,plain,
    ( a2 = b2
    | s3 = a3a1 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_345,c_0_346]),c_0_179]) ).

cnf(c_0_348,plain,
    ( X1 = a1a2
    | X2 = a2
    | ~ incident(a2,X1)
    | ~ incident(X2,a1a2)
    | ~ incident(X2,X1) ),
    inference(spm,[status(thm)],[c_0_114,c_0_122]) ).

cnf(c_0_349,plain,
    a2 = b2,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_318,c_0_347]),c_0_186]) ).

cnf(c_0_350,plain,
    ( p3 = a2
    | ~ incident(a2,b1b2) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_348,c_0_147]),c_0_157])]),c_0_158]) ).

cnf(c_0_351,plain,
    p1 = b2,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_337,c_0_349]),c_0_349]),c_0_118])]) ).

cnf(c_0_352,plain,
    p3 = b2,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_350,c_0_349]),c_0_349]),c_0_161])]) ).

cnf(c_0_353,plain,
    ( ~ incident(b2,X1)
    | ~ incident(p2,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_166,c_0_351]),c_0_352])]) ).

cnf(c_0_354,plain,
    point(b2),
    inference(spm,[status(thm)],[c_0_254,c_0_161]) ).

cnf(c_0_355,plain,
    ( ~ point(X1)
    | ~ incident(p2,esk1_2(X1,b2)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_353,c_0_264]),c_0_354])]) ).

cnf(c_0_356,plain,
    point(p2),
    inference(spm,[status(thm)],[c_0_254,c_0_185]) ).

cnf(c_0_357,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_355,c_0_259]),c_0_356]),c_0_354])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : GEO169+2 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n028.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 : Fri Jun 17 16:26:29 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.45  # ENIGMATIC: Selected complete mode:
% 11.27/2.87  # ENIGMATIC: Solved by autoschedule-lgb:
% 11.27/2.87  # No SInE strategy applied
% 11.27/2.87  # Trying AutoSched0 for 150 seconds
% 11.27/2.87  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_S2m
% 11.27/2.87  # and selection function SelectCQArNTNpEqFirst.
% 11.27/2.87  #
% 11.27/2.87  # Preprocessing time       : 0.023 s
% 11.27/2.87  # Presaturation interreduction done
% 11.27/2.87  
% 11.27/2.87  # Proof found!
% 11.27/2.87  # SZS status Theorem
% 11.27/2.87  # SZS output start CNFRefutation
% See solution above
% 11.27/2.87  # Training examples: 0 positive, 0 negative
% 11.27/2.87  
% 11.27/2.87  # -------------------------------------------------
% 11.27/2.87  # User time                : 0.441 s
% 11.27/2.87  # System time              : 0.025 s
% 11.27/2.87  # Total time               : 0.466 s
% 11.27/2.87  # Maximum resident set size: 7120 pages
% 11.27/2.87  
%------------------------------------------------------------------------------