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Enigma---0.5.1.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : GRA117+1 : TPTP v9.3.0. Released v9.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n012.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  : 300s
% DateTime : Tue May  5 06:26:34 PM UTC 2026

% Result   : Unsatisfiable 73.16s 10.32s
% Output   : CNFRefutation 73.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   51
%            Number of leaves      :   18
% Syntax   : Number of clauses     :  319 (  42 unt; 267 nHn; 297 RR)
%            Number of literals    : 1023 ( 156 equ; 149 neg)
%            Maximal clause size   :    6 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   6 con; 0-0 aty)
%            Number of variables   :   73 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_14,plain,
    v5 != v0,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1nob9c83/input.p',i_0_14) ).

cnf(i_0_3,plain,
    ( X1 = X2
    | X3 = X2
    | X3 = X1
    | r(X1,X2)
    | r(X3,X2)
    | r(X3,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1nob9c83/input.p',i_0_3) ).

cnf(i_0_16,plain,
    v5 != v2,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1nob9c83/input.p',i_0_16) ).

cnf(i_0_5,plain,
    v2 != v0,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1nob9c83/input.p',i_0_5) ).

cnf(i_0_4,plain,
    v0 != v1,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1nob9c83/input.p',i_0_4) ).

cnf(i_0_17,plain,
    v5 != v3,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1nob9c83/input.p',i_0_17) ).

cnf(i_0_7,plain,
    v3 != v0,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1nob9c83/input.p',i_0_7) ).

cnf(i_0_18,plain,
    v5 != v4,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1nob9c83/input.p',i_0_18) ).

cnf(i_0_12,plain,
    v4 != v2,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1nob9c83/input.p',i_0_12) ).

cnf(i_0_6,plain,
    v2 != v1,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1nob9c83/input.p',i_0_6) ).

cnf(i_0_1,plain,
    ( r(X1,X2)
    | ~ r(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1nob9c83/input.p',i_0_1) ).

cnf(i_0_15,plain,
    v5 != v1,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1nob9c83/input.p',i_0_15) ).

cnf(i_0_8,plain,
    v3 != v1,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1nob9c83/input.p',i_0_8) ).

cnf(i_0_11,plain,
    v4 != v1,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1nob9c83/input.p',i_0_11) ).

cnf(i_0_2,plain,
    ( X1 = X2
    | X3 = X2
    | X3 = X1
    | ~ r(X1,X2)
    | ~ r(X3,X2)
    | ~ r(X3,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1nob9c83/input.p',i_0_2) ).

cnf(i_0_13,plain,
    v4 != v3,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1nob9c83/input.p',i_0_13) ).

cnf(i_0_10,plain,
    v4 != v0,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1nob9c83/input.p',i_0_10) ).

cnf(i_0_9,plain,
    v3 != v2,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1nob9c83/input.p',i_0_9) ).

cnf(c_0_37,plain,
    v5 != v0,
    i_0_14 ).

cnf(c_0_38,plain,
    ( X1 = X2
    | X3 = X2
    | X3 = X1
    | r(X1,X2)
    | r(X3,X2)
    | r(X3,X1) ),
    i_0_3 ).

cnf(c_0_39,plain,
    v5 != v2,
    i_0_16 ).

cnf(c_0_40,plain,
    ( v0 = X1
    | v5 = X1
    | r(v0,v5)
    | r(X1,v0)
    | r(X1,v5) ),
    inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38])]) ).

cnf(c_0_41,plain,
    v2 != v0,
    i_0_5 ).

cnf(c_0_42,plain,
    v0 != v1,
    i_0_4 ).

cnf(c_0_43,plain,
    v5 != v3,
    i_0_17 ).

cnf(c_0_44,plain,
    v3 != v0,
    i_0_7 ).

cnf(c_0_45,plain,
    v5 != v4,
    i_0_18 ).

cnf(c_0_46,plain,
    ( v2 = X1
    | v5 = X1
    | r(v2,v5)
    | r(X1,v2)
    | r(X1,v5) ),
    inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_38])]) ).

cnf(c_0_47,plain,
    v4 != v2,
    i_0_12 ).

cnf(c_0_48,plain,
    v2 != v1,
    i_0_6 ).

cnf(c_0_49,plain,
    ( r(X1,X2)
    | ~ r(X2,X1) ),
    i_0_1 ).

cnf(c_0_50,plain,
    ( r(v2,v5)
    | r(v2,v0)
    | r(v0,v5) ),
    inference(sr,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40])]),c_0_41]) ).

cnf(c_0_51,plain,
    ( v1 = X1
    | v0 = X1
    | r(v1,v0)
    | r(X1,v1)
    | r(X1,v0) ),
    inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_38])]) ).

cnf(c_0_52,plain,
    v5 != v1,
    i_0_15 ).

cnf(c_0_53,plain,
    ( v0 = X1
    | v2 = X1
    | r(v0,v2)
    | r(X1,v0)
    | r(X1,v2) ),
    inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_38])]) ).

cnf(c_0_54,plain,
    v3 != v1,
    i_0_8 ).

cnf(c_0_55,plain,
    ( r(v3,v5)
    | r(v3,v0)
    | r(v0,v5) ),
    inference(sr,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_40])]),c_0_44]) ).

cnf(c_0_56,plain,
    ( v0 = X1
    | v3 = X1
    | r(v0,v3)
    | r(X1,v0)
    | r(X1,v3) ),
    inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_38])]) ).

cnf(c_0_57,plain,
    ( r(v4,v5)
    | r(v4,v2)
    | r(v2,v5) ),
    inference(sr,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46])]),c_0_47]) ).

cnf(c_0_58,plain,
    ( v1 = X1
    | v2 = X1
    | r(v1,v2)
    | r(X1,v1)
    | r(X1,v2) ),
    inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_38])]) ).

cnf(c_0_59,plain,
    v4 != v1,
    i_0_11 ).

cnf(c_0_60,plain,
    ( v2 = X1
    | v4 = X1
    | r(v2,v4)
    | r(X1,v2)
    | r(X1,v4) ),
    inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_38])]) ).

cnf(c_0_61,plain,
    ( X1 = X2
    | X3 = X2
    | X3 = X1
    | ~ r(X1,X2)
    | ~ r(X3,X2)
    | ~ r(X3,X1) ),
    i_0_2 ).

cnf(c_0_62,plain,
    ( r(v0,v5)
    | r(v2,v0)
    | r(v5,v2) ),
    inference(spm,[status(thm)],[c_0_49,c_0_50]) ).

cnf(c_0_63,plain,
    ( r(v5,v0)
    | r(v5,v1)
    | r(v1,v0) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_51]),c_0_52]) ).

cnf(c_0_64,plain,
    ( r(v1,v2)
    | r(v1,v0)
    | r(v0,v2) ),
    inference(sr,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_53])]),c_0_42]) ).

cnf(c_0_65,plain,
    ( v4 = X1
    | v5 = X1
    | r(v4,v5)
    | r(X1,v4)
    | r(X1,v5) ),
    inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_38])]) ).

cnf(c_0_66,plain,
    v4 != v3,
    i_0_13 ).

cnf(c_0_67,plain,
    ( v1 = X1
    | v3 = X1
    | r(v1,v3)
    | r(X1,v1)
    | r(X1,v3) ),
    inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_38])]) ).

cnf(c_0_68,plain,
    ( r(v0,v5)
    | r(v3,v0)
    | r(v5,v3) ),
    inference(spm,[status(thm)],[c_0_49,c_0_55]) ).

cnf(c_0_69,plain,
    ( r(v1,v3)
    | r(v1,v0)
    | r(v0,v3) ),
    inference(sr,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_56])]),c_0_42]) ).

cnf(c_0_70,plain,
    ( r(v2,v5)
    | r(v4,v2)
    | r(v5,v4) ),
    inference(spm,[status(thm)],[c_0_49,c_0_57]) ).

cnf(c_0_71,plain,
    ( r(v5,v2)
    | r(v5,v1)
    | r(v1,v2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_58]),c_0_52]) ).

cnf(c_0_72,plain,
    ( r(v1,v4)
    | r(v1,v2)
    | r(v2,v4) ),
    inference(sr,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60])]),c_0_48]) ).

cnf(c_0_73,plain,
    ( v1 = X1
    | v4 = X1
    | r(v1,v4)
    | r(X1,v1)
    | r(X1,v4) ),
    inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_38])]) ).

cnf(c_0_74,plain,
    ( X1 = v2
    | X1 = v5
    | r(v2,v0)
    | r(v0,v5)
    | ~ r(v5,X1)
    | ~ r(X1,v2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_39]) ).

cnf(c_0_75,plain,
    ( r(v1,v0)
    | r(v5,v1)
    | r(v0,v5) ),
    inference(spm,[status(thm)],[c_0_49,c_0_63]) ).

cnf(c_0_76,plain,
    ( r(v1,v0)
    | r(v1,v2)
    | r(v2,v0) ),
    inference(spm,[status(thm)],[c_0_49,c_0_64]) ).

cnf(c_0_77,plain,
    ( r(v3,v5)
    | r(v3,v4)
    | r(v4,v5) ),
    inference(sr,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_65])]),c_0_66]) ).

cnf(c_0_78,plain,
    ( r(v4,v3)
    | r(v4,v1)
    | r(v1,v3) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_59]) ).

cnf(c_0_79,plain,
    ( v3 = X1
    | v5 = X1
    | r(v3,v5)
    | r(X1,v3)
    | r(X1,v5) ),
    inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_38])]) ).

cnf(c_0_80,plain,
    v4 != v0,
    i_0_10 ).

cnf(c_0_81,plain,
    ( X1 = v3
    | X1 = v5
    | r(v3,v0)
    | r(v0,v5)
    | ~ r(v5,X1)
    | ~ r(X1,v3) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_68]),c_0_43]) ).

cnf(c_0_82,plain,
    ( r(v1,v0)
    | r(v1,v3)
    | r(v3,v0) ),
    inference(spm,[status(thm)],[c_0_49,c_0_69]) ).

cnf(c_0_83,plain,
    ( X1 = v4
    | X1 = v5
    | r(v4,v2)
    | r(v2,v5)
    | ~ r(v5,X1)
    | ~ r(X1,v4) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_70]),c_0_45]) ).

cnf(c_0_84,plain,
    ( r(v1,v2)
    | r(v5,v1)
    | r(v2,v5) ),
    inference(spm,[status(thm)],[c_0_49,c_0_71]) ).

cnf(c_0_85,plain,
    ( r(v1,v2)
    | r(v1,v4)
    | r(v4,v2) ),
    inference(spm,[status(thm)],[c_0_49,c_0_72]) ).

cnf(c_0_86,plain,
    ( v3 = X1
    | v4 = X1
    | r(v3,v4)
    | r(X1,v3)
    | r(X1,v4) ),
    inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_38])]) ).

cnf(c_0_87,plain,
    ( r(v5,v4)
    | r(v5,v1)
    | r(v1,v4) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_73]),c_0_52]) ).

cnf(c_0_88,plain,
    ( r(v1,v0)
    | r(v0,v5)
    | r(v2,v0) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_48]),c_0_52]),c_0_76]) ).

cnf(c_0_89,plain,
    ( X1 = v5
    | X1 = v4
    | r(v3,v4)
    | r(v3,v5)
    | ~ r(v4,X1)
    | ~ r(X1,v5) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_77]),c_0_45]) ).

cnf(c_0_90,plain,
    ( r(v1,v3)
    | r(v4,v1)
    | r(v3,v4) ),
    inference(spm,[status(thm)],[c_0_49,c_0_78]) ).

cnf(c_0_91,plain,
    ( r(v1,v5)
    | r(v1,v3)
    | r(v3,v5) ),
    inference(sr,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_79])]),c_0_54]) ).

cnf(c_0_92,plain,
    ( r(v0,v4)
    | r(v0,v2)
    | r(v2,v4) ),
    inference(sr,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_60])]),c_0_41]) ).

cnf(c_0_93,plain,
    ( r(v2,v0)
    | r(v2,v1)
    | r(v1,v0) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_51]),c_0_48]) ).

cnf(c_0_94,plain,
    ( v0 = X1
    | v4 = X1
    | r(v0,v4)
    | r(X1,v0)
    | r(X1,v4) ),
    inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_38])]) ).

cnf(c_0_95,plain,
    ( r(v1,v0)
    | r(v0,v5)
    | r(v3,v0) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_75]),c_0_54]),c_0_52]),c_0_82]) ).

cnf(c_0_96,plain,
    ( r(v1,v2)
    | r(v2,v5)
    | r(v4,v2) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_84]),c_0_59]),c_0_52]),c_0_85]) ).

cnf(c_0_97,plain,
    ( r(v0,v4)
    | r(v0,v3)
    | r(v3,v4) ),
    inference(sr,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_86])]),c_0_44]) ).

cnf(c_0_98,plain,
    ( r(v3,v0)
    | r(v3,v1)
    | r(v1,v0) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_51]),c_0_54]) ).

cnf(c_0_99,plain,
    ( r(v1,v4)
    | r(v5,v1)
    | r(v4,v5) ),
    inference(spm,[status(thm)],[c_0_49,c_0_87]) ).

cnf(c_0_100,plain,
    ( v5 = X1
    | v3 = X1
    | r(v5,v3)
    | r(X1,v5)
    | r(X1,v3) ),
    inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_38])]) ).

cnf(c_0_101,plain,
    ( r(v3,v4)
    | r(v3,v1)
    | r(v1,v4) ),
    inference(sr,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_73])]),c_0_54]) ).

cnf(c_0_102,plain,
    v3 != v2,
    i_0_9 ).

cnf(c_0_103,plain,
    ( X1 = v3
    | X1 = v0
    | r(v1,v0)
    | r(v1,v3)
    | ~ r(v0,X1)
    | ~ r(X1,v3) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_69]),c_0_44]) ).

cnf(c_0_104,plain,
    ( r(v0,v5)
    | r(v1,v0)
    | r(v0,v2) ),
    inference(spm,[status(thm)],[c_0_49,c_0_88]) ).

cnf(c_0_105,plain,
    ( r(v1,v3)
    | r(v3,v5)
    | r(v3,v4) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_90]),c_0_52]),c_0_59]),c_0_91]) ).

cnf(c_0_106,plain,
    ( X1 = v4
    | X1 = v2
    | r(v0,v2)
    | r(v0,v4)
    | ~ r(v2,X1)
    | ~ r(X1,v4) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_92]),c_0_47]) ).

cnf(c_0_107,plain,
    ( r(v1,v0)
    | r(v2,v1)
    | r(v0,v2) ),
    inference(spm,[status(thm)],[c_0_49,c_0_93]) ).

cnf(c_0_108,plain,
    ( r(v1,v4)
    | r(v1,v0)
    | r(v0,v4) ),
    inference(sr,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_94])]),c_0_42]) ).

cnf(c_0_109,plain,
    ( X1 = v2
    | X1 = v0
    | r(v1,v0)
    | r(v1,v2)
    | ~ r(v0,X1)
    | ~ r(X1,v2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_64]),c_0_41]) ).

cnf(c_0_110,plain,
    ( r(v0,v5)
    | r(v1,v0)
    | r(v0,v3) ),
    inference(spm,[status(thm)],[c_0_49,c_0_95]) ).

cnf(c_0_111,plain,
    ( r(v2,v5)
    | r(v1,v2)
    | r(v2,v4) ),
    inference(spm,[status(thm)],[c_0_49,c_0_96]) ).

cnf(c_0_112,plain,
    ( X1 = v4
    | X1 = v3
    | r(v0,v3)
    | r(v0,v4)
    | ~ r(v3,X1)
    | ~ r(X1,v4) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_97]),c_0_66]) ).

cnf(c_0_113,plain,
    ( r(v1,v0)
    | r(v3,v1)
    | r(v0,v3) ),
    inference(spm,[status(thm)],[c_0_49,c_0_98]) ).

cnf(c_0_114,plain,
    ( X1 = v1
    | X1 = v5
    | r(v4,v5)
    | r(v1,v4)
    | ~ r(v5,X1)
    | ~ r(X1,v1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_99]),c_0_52]) ).

cnf(c_0_115,plain,
    ( r(v4,v3)
    | r(v4,v5)
    | r(v5,v3) ),
    inference(sr,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_100])]),c_0_66]) ).

cnf(c_0_116,plain,
    ( r(v1,v4)
    | r(v3,v1)
    | r(v4,v3) ),
    inference(spm,[status(thm)],[c_0_49,c_0_101]) ).

cnf(c_0_117,plain,
    ( v2 = X1
    | v3 = X1
    | r(v2,v3)
    | r(X1,v2)
    | r(X1,v3) ),
    inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_38])]) ).

cnf(c_0_118,plain,
    ( r(v0,v2)
    | r(v1,v3)
    | r(v1,v0)
    | ~ r(v5,v3) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_104]),c_0_43]),c_0_37]) ).

cnf(c_0_119,plain,
    ( r(v3,v4)
    | r(v1,v3)
    | r(v5,v3) ),
    inference(spm,[status(thm)],[c_0_49,c_0_105]) ).

cnf(c_0_120,plain,
    ( r(v1,v0)
    | r(v0,v4)
    | r(v0,v2) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_107]),c_0_59]),c_0_48]),c_0_108]) ).

cnf(c_0_121,plain,
    ( r(v4,v5)
    | r(v4,v0)
    | r(v0,v5) ),
    inference(sr,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_40])]),c_0_80]) ).

cnf(c_0_122,plain,
    ( r(v0,v3)
    | r(v1,v2)
    | r(v1,v0)
    | ~ r(v5,v2) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_110]),c_0_39]),c_0_37]) ).

cnf(c_0_123,plain,
    ( r(v2,v4)
    | r(v1,v2)
    | r(v5,v2) ),
    inference(spm,[status(thm)],[c_0_49,c_0_111]) ).

cnf(c_0_124,plain,
    ( r(v1,v0)
    | r(v0,v4)
    | r(v0,v3) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_113]),c_0_59]),c_0_54]),c_0_108]) ).

cnf(c_0_125,plain,
    ( r(v3,v5)
    | r(v3,v2)
    | r(v2,v5) ),
    inference(sr,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_46])]),c_0_102]) ).

cnf(c_0_126,plain,
    ( X1 = v4
    | X1 = v0
    | r(v1,v0)
    | r(v1,v4)
    | ~ r(v0,X1)
    | ~ r(X1,v4) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_108]),c_0_80]) ).

cnf(c_0_127,plain,
    ( r(v4,v3)
    | r(v1,v4)
    | r(v4,v5) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_115]),c_0_54]),c_0_43]),c_0_116]) ).

cnf(c_0_128,plain,
    ( r(v0,v3)
    | r(v0,v2)
    | r(v2,v3) ),
    inference(sr,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_117])]),c_0_41]) ).

cnf(c_0_129,plain,
    ( r(v3,v4)
    | r(v1,v0)
    | r(v1,v3)
    | r(v0,v2) ),
    inference(spm,[status(thm)],[c_0_118,c_0_119]) ).

cnf(c_0_130,plain,
    ( r(v0,v2)
    | r(v1,v3)
    | r(v1,v0)
    | ~ r(v4,v3) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_120]),c_0_66]),c_0_80]) ).

cnf(c_0_131,plain,
    ( r(v0,v5)
    | r(v4,v0)
    | r(v5,v4) ),
    inference(spm,[status(thm)],[c_0_49,c_0_121]) ).

cnf(c_0_132,plain,
    ( r(v2,v4)
    | r(v1,v0)
    | r(v1,v2)
    | r(v0,v3) ),
    inference(spm,[status(thm)],[c_0_122,c_0_123]) ).

cnf(c_0_133,plain,
    ( r(v0,v3)
    | r(v1,v2)
    | r(v1,v0)
    | ~ r(v4,v2) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_124]),c_0_47]),c_0_80]) ).

cnf(c_0_134,plain,
    ( r(v2,v5)
    | r(v3,v2)
    | r(v5,v3) ),
    inference(spm,[status(thm)],[c_0_49,c_0_125]) ).

cnf(c_0_135,plain,
    ( r(v1,v3)
    | r(v1,v2)
    | r(v2,v3) ),
    inference(sr,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_117])]),c_0_48]) ).

cnf(c_0_136,plain,
    ( r(v3,v4)
    | r(v3,v2)
    | r(v2,v4) ),
    inference(sr,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_60])]),c_0_102]) ).

cnf(c_0_137,plain,
    ( r(v1,v0)
    | r(v1,v4)
    | r(v4,v0) ),
    inference(spm,[status(thm)],[c_0_49,c_0_108]) ).

cnf(c_0_138,plain,
    ( r(v0,v2)
    | r(v1,v4)
    | r(v1,v0)
    | ~ r(v5,v4) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_104]),c_0_45]),c_0_37]) ).

cnf(c_0_139,plain,
    ( r(v1,v4)
    | r(v4,v3)
    | r(v5,v4) ),
    inference(spm,[status(thm)],[c_0_49,c_0_127]) ).

cnf(c_0_140,plain,
    ( X1 = v3
    | X1 = v2
    | r(v0,v2)
    | r(v0,v3)
    | ~ r(v2,X1)
    | ~ r(X1,v3) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_128]),c_0_102]) ).

cnf(c_0_141,plain,
    ( r(v0,v2)
    | r(v1,v3)
    | r(v1,v0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_129]),c_0_130]) ).

cnf(c_0_142,plain,
    ( r(v5,v4)
    | r(v5,v2)
    | r(v2,v4) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_60]),c_0_39]) ).

cnf(c_0_143,plain,
    ( X1 = v4
    | X1 = v5
    | r(v4,v0)
    | r(v0,v5)
    | ~ r(v5,X1)
    | ~ r(X1,v4) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_131]),c_0_45]) ).

cnf(c_0_144,plain,
    ( r(v0,v3)
    | r(v1,v2)
    | r(v1,v0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_132]),c_0_133]) ).

cnf(c_0_145,plain,
    ( X1 = v3
    | X1 = v5
    | r(v3,v2)
    | r(v2,v5)
    | ~ r(v5,X1)
    | ~ r(X1,v3) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_134]),c_0_43]) ).

cnf(c_0_146,plain,
    ( r(v1,v2)
    | r(v1,v3)
    | r(v3,v2) ),
    inference(spm,[status(thm)],[c_0_49,c_0_135]) ).

cnf(c_0_147,plain,
    ( r(v2,v4)
    | r(v3,v2)
    | r(v4,v3) ),
    inference(spm,[status(thm)],[c_0_49,c_0_136]) ).

cnf(c_0_148,plain,
    ( r(v4,v2)
    | r(v4,v1)
    | r(v1,v2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_58]),c_0_59]) ).

cnf(c_0_149,plain,
    ( X1 = v0
    | X1 = v4
    | r(v1,v4)
    | r(v1,v0)
    | ~ r(v4,X1)
    | ~ r(X1,v0) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_137]),c_0_80]) ).

cnf(c_0_150,plain,
    ( r(v4,v3)
    | r(v1,v0)
    | r(v1,v4)
    | r(v0,v2) ),
    inference(spm,[status(thm)],[c_0_138,c_0_139]) ).

cnf(c_0_151,plain,
    ( r(v1,v0)
    | r(v0,v3)
    | r(v0,v2) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_107]),c_0_54]),c_0_48]),c_0_141]) ).

cnf(c_0_152,plain,
    ( r(v2,v4)
    | r(v5,v2)
    | r(v4,v5) ),
    inference(spm,[status(thm)],[c_0_49,c_0_142]) ).

cnf(c_0_153,plain,
    ( r(v2,v4)
    | r(v2,v1)
    | r(v1,v4) ),
    inference(sr,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_73])]),c_0_48]) ).

cnf(c_0_154,plain,
    ( r(v1,v0)
    | r(v0,v5)
    | r(v4,v0) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_75]),c_0_59]),c_0_52]),c_0_137]) ).

cnf(c_0_155,plain,
    ( r(v1,v2)
    | r(v1,v0)
    | ~ r(v3,v2) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_144]),c_0_102]),c_0_44]) ).

cnf(c_0_156,plain,
    ( r(v1,v2)
    | r(v2,v5)
    | r(v3,v2) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_84]),c_0_54]),c_0_52]),c_0_146]) ).

cnf(c_0_157,plain,
    ( X1 = v3
    | X1 = v4
    | r(v3,v2)
    | r(v2,v4)
    | ~ r(v4,X1)
    | ~ r(X1,v3) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_147]),c_0_66]) ).

cnf(c_0_158,plain,
    ( r(v1,v2)
    | r(v4,v1)
    | r(v2,v4) ),
    inference(spm,[status(thm)],[c_0_49,c_0_148]) ).

cnf(c_0_159,plain,
    ( r(v0,v2)
    | r(v1,v0)
    | r(v1,v4)
    | ~ r(v3,v0) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_150]),c_0_44]),c_0_66]) ).

cnf(c_0_160,plain,
    ( r(v0,v2)
    | r(v1,v0)
    | r(v3,v0) ),
    inference(spm,[status(thm)],[c_0_49,c_0_151]) ).

cnf(c_0_161,plain,
    ( r(v2,v4)
    | r(v1,v4)
    | r(v4,v5) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_152]),c_0_48]),c_0_39]),c_0_153]) ).

cnf(c_0_162,plain,
    ( r(v0,v5)
    | r(v1,v0)
    | r(v0,v4) ),
    inference(spm,[status(thm)],[c_0_49,c_0_154]) ).

cnf(c_0_163,plain,
    ( r(v2,v5)
    | r(v1,v0)
    | r(v1,v2) ),
    inference(spm,[status(thm)],[c_0_155,c_0_156]) ).

cnf(c_0_164,plain,
    ( r(v1,v2)
    | r(v2,v4)
    | r(v3,v2) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_158]),c_0_54]),c_0_59]),c_0_146]) ).

cnf(c_0_165,plain,
    ( r(v1,v4)
    | r(v1,v0)
    | r(v0,v2) ),
    inference(spm,[status(thm)],[c_0_159,c_0_160]) ).

cnf(c_0_166,plain,
    ( r(v0,v3)
    | r(v1,v4)
    | r(v1,v0)
    | ~ r(v5,v4) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_110]),c_0_45]),c_0_37]) ).

cnf(c_0_167,plain,
    ( r(v1,v4)
    | r(v2,v4)
    | r(v5,v4) ),
    inference(spm,[status(thm)],[c_0_49,c_0_161]) ).

cnf(c_0_168,plain,
    ( r(v0,v4)
    | r(v1,v2)
    | r(v1,v0)
    | ~ r(v5,v2) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_162]),c_0_39]),c_0_37]) ).

cnf(c_0_169,plain,
    ( r(v1,v2)
    | r(v1,v0)
    | r(v5,v2) ),
    inference(spm,[status(thm)],[c_0_49,c_0_163]) ).

cnf(c_0_170,plain,
    ( r(v2,v4)
    | r(v1,v0)
    | r(v1,v2) ),
    inference(spm,[status(thm)],[c_0_155,c_0_164]) ).

cnf(c_0_171,plain,
    ( r(v1,v4)
    | r(v1,v0)
    | ~ r(v2,v4) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_165]),c_0_47]),c_0_41]) ).

cnf(c_0_172,plain,
    ( r(v2,v4)
    | r(v1,v0)
    | r(v1,v4)
    | r(v0,v3) ),
    inference(spm,[status(thm)],[c_0_166,c_0_167]) ).

cnf(c_0_173,plain,
    ( r(v1,v0)
    | r(v1,v2)
    | r(v0,v4) ),
    inference(spm,[status(thm)],[c_0_168,c_0_169]) ).

cnf(c_0_174,plain,
    ( r(v1,v2)
    | r(v1,v0)
    | r(v4,v2) ),
    inference(spm,[status(thm)],[c_0_49,c_0_170]) ).

cnf(c_0_175,plain,
    ( r(v0,v3)
    | r(v1,v0)
    | r(v1,v4) ),
    inference(spm,[status(thm)],[c_0_171,c_0_172]) ).

cnf(c_0_176,plain,
    ( r(v1,v2)
    | r(v1,v0) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_173]),c_0_47]),c_0_80]),c_0_174]) ).

cnf(c_0_177,plain,
    ( r(v1,v4)
    | r(v1,v0)
    | ~ r(v3,v4) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_175]),c_0_66]),c_0_44]) ).

cnf(c_0_178,plain,
    ( r(v1,v0)
    | r(v2,v1) ),
    inference(spm,[status(thm)],[c_0_49,c_0_176]) ).

cnf(c_0_179,plain,
    ( r(v3,v2)
    | r(v1,v0)
    | r(v1,v4) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_136]),c_0_171]) ).

cnf(c_0_180,plain,
    ( X1 = v4
    | X1 = v3
    | r(v1,v4)
    | r(v3,v1)
    | ~ r(v3,X1)
    | ~ r(X1,v4) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_101]),c_0_66]) ).

cnf(c_0_181,plain,
    ( X1 = v1
    | X1 = v2
    | r(v1,v0)
    | ~ r(v2,X1)
    | ~ r(X1,v1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_178]),c_0_48]) ).

cnf(c_0_182,plain,
    ( r(v1,v4)
    | r(v1,v0)
    | r(v2,v3) ),
    inference(spm,[status(thm)],[c_0_49,c_0_179]) ).

cnf(c_0_183,plain,
    ( r(v1,v0)
    | r(v3,v1)
    | r(v1,v4) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_98]),c_0_80]),c_0_44]),c_0_108]) ).

cnf(c_0_184,plain,
    ( r(v2,v4)
    | r(v2,v3)
    | r(v3,v4) ),
    inference(sr,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_86])]),c_0_102]) ).

cnf(c_0_185,plain,
    ( r(v3,v2)
    | r(v3,v0)
    | r(v0,v2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_53]),c_0_44]) ).

cnf(c_0_186,plain,
    ( X1 = v2
    | X1 = v1
    | r(v1,v0)
    | ~ r(v1,X1)
    | ~ r(X1,v2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_176]),c_0_48]) ).

cnf(c_0_187,plain,
    ( r(v1,v4)
    | r(v1,v0) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_182]),c_0_54]),c_0_102]),c_0_183]) ).

cnf(c_0_188,plain,
    ( X1 = v5
    | X1 = v4
    | r(v2,v5)
    | r(v4,v2)
    | ~ r(v4,X1)
    | ~ r(X1,v5) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_57]),c_0_45]) ).

cnf(c_0_189,plain,
    ( r(v4,v3)
    | r(v4,v2)
    | r(v2,v3) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_117]),c_0_47]) ).

cnf(c_0_190,plain,
    ( r(v2,v5)
    | r(v2,v3)
    | r(v3,v5) ),
    inference(sr,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_79])]),c_0_102]) ).

cnf(c_0_191,plain,
    ( r(v1,v5)
    | r(v1,v0)
    | r(v0,v5) ),
    inference(sr,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_40])]),c_0_42]) ).

cnf(c_0_192,plain,
    ( X1 = v4
    | X1 = v3
    | r(v2,v3)
    | r(v2,v4)
    | ~ r(v3,X1)
    | ~ r(X1,v4) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_184]),c_0_66]) ).

cnf(c_0_193,plain,
    ( r(v0,v2)
    | r(v3,v0)
    | r(v2,v3) ),
    inference(spm,[status(thm)],[c_0_49,c_0_185]) ).

cnf(c_0_194,plain,
    ( r(v1,v0)
    | ~ r(v4,v2) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_186,c_0_187]),c_0_47]),c_0_59]) ).

cnf(c_0_195,plain,
    ( r(v2,v3)
    | r(v4,v2)
    | r(v2,v5) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_188,c_0_189]),c_0_43]),c_0_66]),c_0_190]) ).

cnf(c_0_196,plain,
    ( X1 = v5
    | X1 = v0
    | r(v1,v0)
    | r(v1,v5)
    | ~ r(v0,X1)
    | ~ r(X1,v5) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_191]),c_0_37]) ).

cnf(c_0_197,plain,
    ( r(v5,v4)
    | r(v5,v0)
    | r(v0,v4) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_94]),c_0_37]) ).

cnf(c_0_198,plain,
    ( r(v0,v2)
    | r(v2,v4)
    | r(v2,v3) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_193]),c_0_80]),c_0_44]),c_0_92]) ).

cnf(c_0_199,plain,
    ( r(v2,v5)
    | r(v2,v3)
    | r(v1,v0) ),
    inference(spm,[status(thm)],[c_0_194,c_0_195]) ).

cnf(c_0_200,plain,
    ( r(v1,v3)
    | r(v1,v5)
    | r(v1,v0) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_196,c_0_69]),c_0_43]),c_0_44]),c_0_91]) ).

cnf(c_0_201,plain,
    ( v3 = X1
    | v2 = X1
    | r(v3,v2)
    | r(X1,v3)
    | r(X1,v2) ),
    inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_38])]) ).

cnf(c_0_202,plain,
    ( r(v3,v2)
    | r(v3,v1)
    | r(v1,v2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_58]),c_0_54]) ).

cnf(c_0_203,plain,
    ( r(v0,v4)
    | r(v5,v0)
    | r(v4,v5) ),
    inference(spm,[status(thm)],[c_0_49,c_0_197]) ).

cnf(c_0_204,plain,
    ( r(v2,v3)
    | r(v0,v2)
    | r(v4,v2) ),
    inference(spm,[status(thm)],[c_0_49,c_0_198]) ).

cnf(c_0_205,plain,
    ( r(v2,v3)
    | r(v1,v0)
    | ~ r(v5,v1) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_199]),c_0_52]),c_0_39]) ).

cnf(c_0_206,plain,
    ( r(v1,v0)
    | r(v1,v3)
    | r(v5,v1) ),
    inference(spm,[status(thm)],[c_0_49,c_0_200]) ).

cnf(c_0_207,plain,
    ( r(v1,v3)
    | r(v1,v0)
    | ~ r(v2,v3) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_141]),c_0_102]),c_0_41]) ).

cnf(c_0_208,plain,
    ( r(v4,v2)
    | r(v4,v3)
    | r(v3,v2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_201]),c_0_47]) ).

cnf(c_0_209,plain,
    ( X1 = v5
    | X1 = v3
    | r(v2,v3)
    | r(v2,v5)
    | ~ r(v3,X1)
    | ~ r(X1,v5) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_190]),c_0_43]) ).

cnf(c_0_210,plain,
    ( r(v1,v2)
    | r(v3,v1)
    | r(v2,v3) ),
    inference(spm,[status(thm)],[c_0_49,c_0_202]) ).

cnf(c_0_211,plain,
    ( r(v1,v5)
    | r(v1,v2)
    | r(v2,v5) ),
    inference(sr,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_46])]),c_0_48]) ).

cnf(c_0_212,plain,
    ( X1 = v0
    | X1 = v5
    | r(v4,v5)
    | r(v0,v4)
    | ~ r(v5,X1)
    | ~ r(X1,v0) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_203]),c_0_37]) ).

cnf(c_0_213,plain,
    ( r(v0,v2)
    | r(v2,v3)
    | r(v1,v0) ),
    inference(spm,[status(thm)],[c_0_194,c_0_204]) ).

cnf(c_0_214,plain,
    ( r(v1,v3)
    | r(v1,v0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_205,c_0_206]),c_0_207]) ).

cnf(c_0_215,plain,
    ( r(v3,v2)
    | r(v4,v2)
    | r(v2,v5) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_188,c_0_208]),c_0_43]),c_0_66]),c_0_125]) ).

cnf(c_0_216,plain,
    ( X1 = v4
    | X1 = v2
    | r(v1,v2)
    | r(v1,v4)
    | ~ r(v2,X1)
    | ~ r(X1,v4) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_72]),c_0_47]) ).

cnf(c_0_217,plain,
    ( r(v1,v2)
    | r(v2,v5)
    | r(v2,v3) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_209,c_0_210]),c_0_52]),c_0_54]),c_0_211]) ).

cnf(c_0_218,plain,
    ( r(v1,v4)
    | r(v0,v4)
    | r(v4,v5) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_212,c_0_99]),c_0_42]),c_0_52]),c_0_108]) ).

cnf(c_0_219,plain,
    ( r(v0,v2)
    | r(v1,v0)
    | ~ r(v3,v1) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_213]),c_0_54]),c_0_102]) ).

cnf(c_0_220,plain,
    ( r(v1,v0)
    | r(v3,v1) ),
    inference(spm,[status(thm)],[c_0_49,c_0_214]) ).

cnf(c_0_221,plain,
    ( r(v1,v0)
    | ~ r(v3,v2) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_186,c_0_214]),c_0_102]),c_0_54]) ).

cnf(c_0_222,plain,
    ( r(v2,v5)
    | r(v3,v2)
    | r(v1,v0) ),
    inference(spm,[status(thm)],[c_0_194,c_0_215]) ).

cnf(c_0_223,plain,
    ( v1 = X1
    | v5 = X1
    | r(v1,v5)
    | r(X1,v1)
    | r(X1,v5) ),
    inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_38])]) ).

cnf(c_0_224,plain,
    ( r(v2,v3)
    | r(v1,v4)
    | r(v1,v2)
    | ~ r(v5,v4) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_217]),c_0_45]),c_0_39]) ).

cnf(c_0_225,plain,
    ( r(v0,v4)
    | r(v1,v4)
    | r(v5,v4) ),
    inference(spm,[status(thm)],[c_0_49,c_0_218]) ).

cnf(c_0_226,plain,
    ( r(v1,v0)
    | r(v0,v2) ),
    inference(spm,[status(thm)],[c_0_219,c_0_220]) ).

cnf(c_0_227,plain,
    ( r(v2,v5)
    | r(v1,v0) ),
    inference(spm,[status(thm)],[c_0_221,c_0_222]) ).

cnf(c_0_228,plain,
    ( r(v2,v5)
    | r(v2,v1)
    | r(v1,v5) ),
    inference(sr,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_223])]),c_0_48]) ).

cnf(c_0_229,plain,
    ( r(v0,v4)
    | r(v1,v2)
    | r(v1,v4)
    | r(v2,v3) ),
    inference(spm,[status(thm)],[c_0_224,c_0_225]) ).

cnf(c_0_230,plain,
    ( r(v1,v5)
    | r(v1,v0) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_196,c_0_226]),c_0_39]),c_0_41]),c_0_227]) ).

cnf(c_0_231,plain,
    ( r(v1,v0)
    | r(v5,v2) ),
    inference(spm,[status(thm)],[c_0_49,c_0_227]) ).

cnf(c_0_232,plain,
    ( X1 = v5
    | X1 = v2
    | r(v1,v5)
    | r(v2,v1)
    | ~ r(v2,X1)
    | ~ r(X1,v5) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_228]),c_0_39]) ).

cnf(c_0_233,plain,
    ( r(v1,v5)
    | r(v1,v4)
    | r(v4,v5) ),
    inference(sr,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_65])]),c_0_59]) ).

cnf(c_0_234,plain,
    ( X1 = v5
    | X1 = v2
    | r(v0,v5)
    | r(v2,v0)
    | ~ r(v2,X1)
    | ~ r(X1,v5) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_50]),c_0_39]) ).

cnf(c_0_235,plain,
    ( r(v2,v3)
    | r(v2,v0)
    | r(v0,v3) ),
    inference(sr,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_56])]),c_0_41]) ).

cnf(c_0_236,plain,
    ( r(v0,v5)
    | r(v0,v3)
    | r(v3,v5) ),
    inference(sr,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_79])]),c_0_44]) ).

cnf(c_0_237,plain,
    ( r(v0,v4)
    | r(v1,v4)
    | r(v1,v2)
    | ~ r(v3,v4) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_229]),c_0_66]),c_0_102]) ).

cnf(c_0_238,plain,
    r(v1,v0),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_186,c_0_230]),c_0_39]),c_0_52]),c_0_231]) ).

cnf(c_0_239,plain,
    ( r(v1,v4)
    | r(v2,v1)
    | r(v1,v5) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_232,c_0_153]),c_0_45]),c_0_47]),c_0_233]) ).

cnf(c_0_240,plain,
    ( r(v0,v3)
    | r(v2,v0)
    | r(v0,v5) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_234,c_0_235]),c_0_43]),c_0_102]),c_0_236]) ).

cnf(c_0_241,plain,
    ( r(v0,v3)
    | r(v1,v2)
    | r(v1,v4)
    | r(v0,v4) ),
    inference(spm,[status(thm)],[c_0_237,c_0_97]) ).

cnf(c_0_242,plain,
    ( X1 = v0
    | X1 = v1
    | ~ r(v1,X1)
    | ~ r(X1,v0) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_238]),c_0_42]) ).

cnf(c_0_243,plain,
    ( r(v1,v5)
    | r(v1,v4)
    | r(v1,v2) ),
    inference(spm,[status(thm)],[c_0_49,c_0_239]) ).

cnf(c_0_244,plain,
    ( r(v0,v5)
    | r(v0,v3)
    | r(v0,v2) ),
    inference(spm,[status(thm)],[c_0_49,c_0_240]) ).

cnf(c_0_245,plain,
    ( X1 = v2
    | X1 = v4
    | r(v1,v4)
    | r(v1,v2)
    | ~ r(v4,X1)
    | ~ r(X1,v2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_85]),c_0_47]) ).

cnf(c_0_246,plain,
    ( r(v1,v4)
    | r(v1,v2)
    | r(v0,v3)
    | r(v4,v0) ),
    inference(spm,[status(thm)],[c_0_49,c_0_241]) ).

cnf(c_0_247,plain,
    r(v0,v1),
    inference(spm,[status(thm)],[c_0_49,c_0_238]) ).

cnf(c_0_248,plain,
    ( r(v1,v2)
    | r(v1,v4)
    | ~ r(v5,v0) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_242,c_0_243]),c_0_37]),c_0_52]) ).

cnf(c_0_249,plain,
    ( r(v0,v2)
    | r(v0,v3)
    | r(v5,v0) ),
    inference(spm,[status(thm)],[c_0_49,c_0_244]) ).

cnf(c_0_250,plain,
    ( r(v0,v3)
    | r(v1,v2)
    | r(v1,v4)
    | ~ r(v0,v2) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_246]),c_0_41]),c_0_80]) ).

cnf(c_0_251,plain,
    ( r(v2,v4)
    | r(v2,v0)
    | r(v0,v4) ),
    inference(sr,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_94])]),c_0_41]) ).

cnf(c_0_252,plain,
    ( X1 = v1
    | X1 = v0
    | ~ r(v0,X1)
    | ~ r(X1,v1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_247]),c_0_42]) ).

cnf(c_0_253,plain,
    ( r(v0,v3)
    | r(v1,v4)
    | r(v1,v2) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_248,c_0_249]),c_0_250]) ).

cnf(c_0_254,plain,
    ( r(v1,v2)
    | r(v3,v1)
    | r(v1,v4) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_202]),c_0_47]),c_0_102]),c_0_72]) ).

cnf(c_0_255,plain,
    ( X1 = v4
    | X1 = v2
    | r(v0,v4)
    | r(v2,v0)
    | ~ r(v2,X1)
    | ~ r(X1,v4) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_251]),c_0_47]) ).

cnf(c_0_256,plain,
    ( r(v1,v2)
    | r(v1,v4) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_252,c_0_253]),c_0_54]),c_0_44]),c_0_254]) ).

cnf(c_0_257,plain,
    ( X1 = v5
    | X1 = v4
    | r(v0,v5)
    | r(v4,v0)
    | ~ r(v4,X1)
    | ~ r(X1,v5) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_121]),c_0_45]) ).

cnf(c_0_258,plain,
    ( r(v4,v2)
    | r(v4,v0)
    | r(v0,v2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_53]),c_0_80]) ).

cnf(c_0_259,plain,
    ( r(v0,v5)
    | r(v0,v2)
    | r(v2,v5) ),
    inference(sr,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_46])]),c_0_41]) ).

cnf(c_0_260,plain,
    ( r(v2,v3)
    | r(v2,v1)
    | r(v1,v3) ),
    inference(sr,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_67])]),c_0_48]) ).

cnf(c_0_261,plain,
    ( r(v0,v3)
    | r(v2,v0)
    | r(v0,v4) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_255,c_0_235]),c_0_66]),c_0_102]),c_0_97]) ).

cnf(c_0_262,plain,
    ( r(v1,v2)
    | ~ r(v4,v0) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_242,c_0_256]),c_0_80]),c_0_59]) ).

cnf(c_0_263,plain,
    ( r(v0,v2)
    | r(v4,v0)
    | r(v0,v5) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_257,c_0_258]),c_0_39]),c_0_47]),c_0_259]) ).

cnf(c_0_264,plain,
    ( r(v1,v3)
    | r(v2,v1)
    | r(v1,v5) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_232,c_0_260]),c_0_43]),c_0_102]),c_0_91]) ).

cnf(c_0_265,plain,
    ( r(v4,v3)
    | r(v4,v0)
    | r(v0,v3) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_56]),c_0_80]) ).

cnf(c_0_266,plain,
    ( r(v0,v4)
    | r(v0,v3)
    | r(v0,v2) ),
    inference(spm,[status(thm)],[c_0_49,c_0_261]) ).

cnf(c_0_267,plain,
    ( r(v0,v5)
    | r(v0,v2)
    | r(v1,v2) ),
    inference(spm,[status(thm)],[c_0_262,c_0_263]) ).

cnf(c_0_268,plain,
    ( r(v1,v5)
    | r(v1,v3)
    | r(v1,v2) ),
    inference(spm,[status(thm)],[c_0_49,c_0_264]) ).

cnf(c_0_269,plain,
    ( r(v0,v3)
    | r(v4,v0)
    | r(v0,v5) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_257,c_0_265]),c_0_43]),c_0_66]),c_0_236]) ).

cnf(c_0_270,plain,
    ( r(v0,v2)
    | r(v0,v3)
    | ~ r(v4,v1) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_252,c_0_266]),c_0_59]),c_0_80]) ).

cnf(c_0_271,plain,
    ( r(v1,v2)
    | r(v4,v1) ),
    inference(spm,[status(thm)],[c_0_49,c_0_256]) ).

cnf(c_0_272,plain,
    ( r(v3,v5)
    | r(v3,v1)
    | r(v1,v5) ),
    inference(sr,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_223])]),c_0_54]) ).

cnf(c_0_273,plain,
    ( r(v1,v2)
    | r(v0,v2)
    | ~ r(v5,v1) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_252,c_0_267]),c_0_52]),c_0_37]) ).

cnf(c_0_274,plain,
    ( r(v1,v2)
    | r(v1,v3)
    | r(v5,v1) ),
    inference(spm,[status(thm)],[c_0_49,c_0_268]) ).

cnf(c_0_275,plain,
    ( r(v0,v5)
    | r(v0,v3)
    | r(v1,v2) ),
    inference(spm,[status(thm)],[c_0_262,c_0_269]) ).

cnf(c_0_276,plain,
    ( r(v1,v2)
    | r(v0,v3)
    | r(v0,v2) ),
    inference(spm,[status(thm)],[c_0_270,c_0_271]) ).

cnf(c_0_277,plain,
    ( X1 = v5
    | X1 = v3
    | r(v1,v5)
    | r(v3,v1)
    | ~ r(v3,X1)
    | ~ r(X1,v5) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_272]),c_0_43]) ).

cnf(c_0_278,plain,
    ( r(v1,v3)
    | r(v0,v2)
    | r(v1,v2) ),
    inference(spm,[status(thm)],[c_0_273,c_0_274]) ).

cnf(c_0_279,plain,
    ( r(v1,v2)
    | r(v0,v3)
    | ~ r(v5,v1) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_252,c_0_275]),c_0_52]),c_0_37]) ).

cnf(c_0_280,plain,
    ( v3 = X1
    | v0 = X1
    | r(v3,v0)
    | r(X1,v3)
    | r(X1,v0) ),
    inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_38])]) ).

cnf(c_0_281,plain,
    ( r(v0,v2)
    | r(v1,v2)
    | ~ r(v3,v1) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_252,c_0_276]),c_0_54]),c_0_44]) ).

cnf(c_0_282,plain,
    ( r(v1,v2)
    | r(v3,v1)
    | r(v1,v5) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_277,c_0_202]),c_0_39]),c_0_102]),c_0_211]) ).

cnf(c_0_283,plain,
    ( X1 = v3
    | X1 = v2
    | r(v1,v2)
    | r(v1,v3)
    | ~ r(v2,X1)
    | ~ r(X1,v3) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_135]),c_0_102]) ).

cnf(c_0_284,plain,
    ( r(v1,v2)
    | r(v1,v3)
    | r(v2,v0) ),
    inference(spm,[status(thm)],[c_0_49,c_0_278]) ).

cnf(c_0_285,plain,
    ( r(v1,v3)
    | r(v0,v3)
    | r(v1,v2) ),
    inference(spm,[status(thm)],[c_0_279,c_0_274]) ).

cnf(c_0_286,plain,
    ( r(v4,v0)
    | r(v4,v3)
    | r(v3,v0) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_280]),c_0_80]) ).

cnf(c_0_287,plain,
    ( r(v1,v5)
    | r(v1,v2)
    | r(v0,v2) ),
    inference(spm,[status(thm)],[c_0_281,c_0_282]) ).

cnf(c_0_288,plain,
    ( r(v1,v3)
    | r(v1,v2) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_283,c_0_284]),c_0_44]),c_0_41]),c_0_285]) ).

cnf(c_0_289,plain,
    ( r(v3,v0)
    | r(v4,v0)
    | r(v0,v5) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_257,c_0_286]),c_0_43]),c_0_66]),c_0_55]) ).

cnf(c_0_290,plain,
    ( v5 = X1
    | v1 = X1
    | r(v5,v1)
    | r(X1,v5)
    | r(X1,v1) ),
    inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_38])]) ).

cnf(c_0_291,plain,
    ( r(v4,v0)
    | r(v4,v1)
    | r(v1,v0) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_51]),c_0_59]) ).

cnf(c_0_292,plain,
    ( X1 = v5
    | X1 = v2
    | r(v1,v2)
    | r(v1,v5)
    | ~ r(v2,X1)
    | ~ r(X1,v5) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_211]),c_0_39]) ).

cnf(c_0_293,plain,
    ( r(v1,v2)
    | r(v1,v5)
    | r(v2,v0) ),
    inference(spm,[status(thm)],[c_0_49,c_0_287]) ).

cnf(c_0_294,plain,
    ( r(v1,v2)
    | ~ r(v3,v0) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_242,c_0_288]),c_0_44]),c_0_54]) ).

cnf(c_0_295,plain,
    ( r(v0,v5)
    | r(v3,v0)
    | r(v1,v2) ),
    inference(spm,[status(thm)],[c_0_262,c_0_289]) ).

cnf(c_0_296,plain,
    ( r(v2,v0)
    | r(v2,v3)
    | r(v3,v0) ),
    inference(sr,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_280])]),c_0_41]) ).

cnf(c_0_297,plain,
    ( r(v4,v1)
    | r(v4,v5)
    | r(v5,v1) ),
    inference(sr,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_290])]),c_0_59]) ).

cnf(c_0_298,plain,
    ( r(v1,v0)
    | r(v4,v1)
    | r(v0,v4) ),
    inference(spm,[status(thm)],[c_0_49,c_0_291]) ).

cnf(c_0_299,plain,
    ( r(v1,v5)
    | r(v1,v2)
    | ~ r(v0,v5) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_292,c_0_293]),c_0_37]),c_0_41]) ).

cnf(c_0_300,plain,
    ( r(v0,v5)
    | r(v1,v2) ),
    inference(spm,[status(thm)],[c_0_294,c_0_295]) ).

cnf(c_0_301,plain,
    ( r(v2,v0)
    | r(v2,v5)
    | r(v2,v3) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_209,c_0_296]),c_0_37]),c_0_44]),c_0_50]) ).

cnf(c_0_302,plain,
    ( r(v4,v1)
    | r(v0,v4)
    | r(v4,v5) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_212,c_0_297]),c_0_42]),c_0_52]),c_0_298]) ).

cnf(c_0_303,plain,
    ( r(v1,v2)
    | r(v1,v5) ),
    inference(spm,[status(thm)],[c_0_299,c_0_300]) ).

cnf(c_0_304,plain,
    ( r(v1,v2)
    | r(v5,v0) ),
    inference(spm,[status(thm)],[c_0_49,c_0_300]) ).

cnf(c_0_305,plain,
    ( r(v0,v4)
    | r(v2,v0)
    | r(v4,v2) ),
    inference(spm,[status(thm)],[c_0_49,c_0_251]) ).

cnf(c_0_306,plain,
    ( r(v2,v3)
    | r(v2,v0)
    | r(v0,v4)
    | ~ r(v5,v4) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_255,c_0_301]),c_0_45]),c_0_39]) ).

cnf(c_0_307,plain,
    ( r(v0,v4)
    | r(v4,v1)
    | r(v5,v4) ),
    inference(spm,[status(thm)],[c_0_49,c_0_302]) ).

cnf(c_0_308,plain,
    r(v1,v2),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_242,c_0_303]),c_0_37]),c_0_52]),c_0_304]) ).

cnf(c_0_309,plain,
    ( X1 = v2
    | X1 = v4
    | r(v2,v0)
    | r(v0,v4)
    | ~ r(v4,X1)
    | ~ r(X1,v2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_305]),c_0_47]) ).

cnf(c_0_310,plain,
    ( r(v4,v1)
    | r(v0,v4)
    | r(v2,v0)
    | r(v2,v3) ),
    inference(spm,[status(thm)],[c_0_306,c_0_307]) ).

cnf(c_0_311,plain,
    ( r(v1,v4)
    | r(v0,v4)
    | r(v2,v0)
    | r(v2,v3) ),
    inference(spm,[status(thm)],[c_0_306,c_0_225]) ).

cnf(c_0_312,plain,
    r(v2,v1),
    inference(spm,[status(thm)],[c_0_49,c_0_308]) ).

cnf(c_0_313,plain,
    ( r(v2,v3)
    | r(v0,v4)
    | r(v2,v0)
    | ~ r(v1,v2) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_309,c_0_310]),c_0_48]),c_0_59]) ).

cnf(c_0_314,plain,
    ~ r(v2,v0),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_242,c_0_308]),c_0_41]),c_0_48]) ).

cnf(c_0_315,plain,
    ( r(v1,v4)
    | r(v2,v0)
    | r(v0,v4)
    | ~ r(v3,v4) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_255,c_0_311]),c_0_66]),c_0_102]) ).

cnf(c_0_316,plain,
    ( X1 = v1
    | X1 = v2
    | ~ r(v2,X1)
    | ~ r(X1,v1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_312]),c_0_48]) ).

cnf(c_0_317,plain,
    ( r(v0,v4)
    | r(v2,v3) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_313,c_0_308])]),c_0_314]) ).

cnf(c_0_318,plain,
    ( r(v3,v1)
    | r(v0,v4)
    | r(v2,v0)
    | r(v1,v4) ),
    inference(spm,[status(thm)],[c_0_315,c_0_101]) ).

cnf(c_0_319,plain,
    ( r(v0,v4)
    | ~ r(v1,v4) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_255,c_0_312]),c_0_59]),c_0_48]),c_0_314]) ).

cnf(c_0_320,plain,
    ( r(v0,v4)
    | ~ r(v3,v1) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_316,c_0_317]),c_0_54]),c_0_102]) ).

cnf(c_0_321,plain,
    ( r(v4,v5)
    | r(v4,v1)
    | r(v1,v5) ),
    inference(sr,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_223])]),c_0_59]) ).

cnf(c_0_322,plain,
    r(v0,v4),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_318,c_0_314]),c_0_319]),c_0_320]) ).

cnf(c_0_323,plain,
    ( v3 = X1
    | v1 = X1
    | r(v3,v1)
    | r(X1,v3)
    | r(X1,v1) ),
    inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_38])]) ).

cnf(c_0_324,plain,
    ( X1 = v5
    | X1 = v4
    | r(v1,v5)
    | r(v4,v1)
    | ~ r(v4,X1)
    | ~ r(X1,v5) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_321]),c_0_45]) ).

cnf(c_0_325,plain,
    r(v4,v0),
    inference(spm,[status(thm)],[c_0_49,c_0_322]) ).

cnf(c_0_326,plain,
    ~ r(v4,v1),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_252,c_0_322]),c_0_59]),c_0_80]) ).

cnf(c_0_327,plain,
    ( r(v4,v1)
    | r(v4,v3)
    | r(v3,v1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_323]),c_0_59]) ).

cnf(c_0_328,plain,
    ( r(v1,v5)
    | ~ r(v0,v5) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_324,c_0_325]),c_0_37]),c_0_80]),c_0_326]) ).

cnf(c_0_329,plain,
    ( r(v0,v5)
    | r(v0,v3) ),
    inference(sr,[status(thm)],[c_0_240,c_0_314]) ).

cnf(c_0_330,plain,
    ( r(v3,v1)
    | r(v4,v1)
    | r(v1,v5) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_324,c_0_327]),c_0_43]),c_0_66]),c_0_272]) ).

cnf(c_0_331,plain,
    ( r(v0,v3)
    | r(v1,v5) ),
    inference(spm,[status(thm)],[c_0_328,c_0_329]) ).

cnf(c_0_332,plain,
    ( r(v1,v5)
    | r(v3,v1) ),
    inference(sr,[status(thm)],[c_0_330,c_0_326]) ).

cnf(c_0_333,plain,
    ( r(v0,v5)
    | ~ r(v1,v5) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_234,c_0_312]),c_0_52]),c_0_48]),c_0_314]) ).

cnf(c_0_334,plain,
    r(v1,v5),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_252,c_0_331]),c_0_54]),c_0_44]),c_0_332]) ).

cnf(c_0_335,plain,
    r(v0,v5),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_333,c_0_334])]) ).

cnf(c_0_336,plain,
    ~ r(v5,v0),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_242,c_0_334]),c_0_37]),c_0_52]) ).

cnf(c_0_337,plain,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_335]),c_0_336]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07  % Problem  : GRA117+1 : TPTP v9.3.0. Released v9.3.0.
% 0.00/0.07  % Command  : enigmatic-eprover.py %s %d 1
% 0.07/0.25  % Computer : n012.cluster.edu
% 0.07/0.25  % Model    : x86_64 x86_64
% 0.07/0.25  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.25  % Memory   : 8042.1875MB
% 0.07/0.25  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.07/0.25  % CPULimit : 300
% 0.07/0.25  % WCLimit  : 300
% 0.07/0.25  % DateTime : Mon May  4 21:05:02 EDT 2026
% 0.07/0.25  % CPUTime  : 
% 0.07/0.32  # ENIGMATIC: Selected complete mode:
% 73.16/10.32  # ENIGMATIC: Solved by autoschedule:
% 73.16/10.32  # No SInE strategy applied
% 73.16/10.32  # Trying AutoSched0 for 150 seconds
% 73.16/10.32  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S082A
% 73.16/10.32  # and selection function SelectCQIArNTNp.
% 73.16/10.32  #
% 73.16/10.32  # Preprocessing time       : 0.012 s
% 73.16/10.32  # Presaturation interreduction done
% 73.16/10.32  
% 73.16/10.32  # Proof found!
% 73.16/10.32  # SZS status Theorem
% 73.16/10.32  # SZS output start CNFRefutation
% See solution above
% 73.16/10.32  # Training examples: 0 positive, 0 negative
% 73.16/10.32  
% 73.16/10.32  # -------------------------------------------------
% 73.16/10.32  # User time                : 8.007 s
% 73.16/10.32  # System time              : 0.432 s
% 73.16/10.32  # Total time               : 8.438 s
% 73.16/10.32  # Maximum resident set size: 7124 pages
% 73.16/10.32  
%------------------------------------------------------------------------------