%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : GRP126-3.005 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:41:58 PM UTC 2026
% Result : Satisfiable 59.72s 10.15s
% Output : Saturation 67.78s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named c_0_63ERROR: Could not build tree for root c_0_87ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(c_0_64,plain,
~ equalish(e_2,e_1),
c_0_58,
[final] ).
cnf(c_0_65,plain,
( ~ product(X4,X2,X3)
| ~ product(X1,X2,X3)
| equalish(X1,X4) ),
c_0_59,
[final] ).
cnf(c_0_69,plain,
~ equalish(e_5,e_3),
c_0_60,
[final] ).
cnf(c_0_70,plain,
( ~ next(X1,X4)
| ~ greater(X2,e_0)
| ~ product(X1,e_1,X3)
| ~ cycle(X1,X2)
| equalish(X3,X4) ),
c_0_61,
[final] ).
cnf(c_0_71,plain,
( ~ group_element(X1)
| cycle(X1,e_4)
| cycle(X1,e_3)
| cycle(X1,e_2)
| cycle(X1,e_1)
| cycle(X1,e_0) ),
c_0_62,
[final] ).
cnf(c_0_72,axiom,
group_element(e_2),
element_2,
[final] ).
cnf(c_0_73,plain,
( ~ group_element(X2)
| ~ group_element(X1)
| product(X1,X2,e_5)
| product(X1,X2,e_4)
| product(X1,X2,e_3)
| product(X1,X2,e_2)
| product(X1,X2,e_1) ),
c_0_63,
[final] ).
cnf(c_0_74,axiom,
group_element(e_1),
element_1,
[final] ).
cnf(c_0_75,plain,
( ~ product(e_2,X1,X2)
| ~ product(e_1,X1,X2) ),
inference(spm,[status(thm)],[c_0_64,c_0_65]),
[final] ).
cnf(c_0_76,axiom,
product(X1,X1,X1),
product_idempotence,
[final] ).
cnf(c_0_77,plain,
~ equalish(e_4,e_3),
c_0_66,
[final] ).
cnf(c_0_78,plain,
~ equalish(e_2,e_3),
c_0_67,
[final] ).
cnf(c_0_80,plain,
~ equalish(e_3,e_1),
c_0_68,
[final] ).
cnf(c_0_83,plain,
( ~ next(X1,e_3)
| ~ greater(X2,e_0)
| ~ cycle(X1,X2)
| ~ product(X1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_69,c_0_70]),
[final] ).
cnf(c_0_84,plain,
( cycle(e_2,e_0)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_2,e_3)
| cycle(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_71,c_0_72]),
[final] ).
cnf(c_0_85,axiom,
greater(e_1,e_0),
e_1_greater_e_0,
[final] ).
cnf(c_0_86,axiom,
next(e_2,e_3),
e_2_then_e_3,
[final] ).
cnf(c_0_87,plain,
( ~ group_element(X1)
| product(X1,e_1,e_1)
| product(X1,e_1,e_2)
| product(X1,e_1,e_3)
| product(X1,e_1,e_4)
| product(X1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_73,c_0_74]),
[final] ).
cnf(c_0_88,plain,
~ product(e_2,e_1,e_1),
inference(spm,[status(thm)],[c_0_75,c_0_76]),
[final] ).
cnf(c_0_89,plain,
( ~ next(X1,e_3)
| ~ greater(X2,e_0)
| ~ cycle(X1,X2)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_77,c_0_70]),
[final] ).
cnf(c_0_90,plain,
( ~ next(X1,e_3)
| ~ greater(X2,e_0)
| ~ cycle(X1,X2)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_78,c_0_70]),
[final] ).
cnf(c_0_91,plain,
~ equalish(e_5,e_4),
c_0_79,
[final] ).
cnf(c_0_92,axiom,
group_element(e_3),
element_3,
[final] ).
cnf(c_0_93,plain,
( ~ product(e_3,X1,X2)
| ~ product(e_1,X1,X2) ),
inference(spm,[status(thm)],[c_0_80,c_0_65]),
[final] ).
cnf(c_0_94,plain,
~ equalish(e_3,e_4),
c_0_81,
[final] ).
cnf(c_0_95,plain,
~ equalish(e_2,e_4),
c_0_82,
[final] ).
cnf(c_0_101,plain,
( ~ next(X1,e_4)
| ~ greater(X2,e_0)
| ~ cycle(X1,X2)
| ~ product(X1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_91,c_0_70]),
[final] ).
cnf(c_0_103,axiom,
next(e_3,e_4),
e_3_then_e_4,
[final] ).
cnf(c_0_104,plain,
~ product(e_3,e_1,e_1),
inference(spm,[status(thm)],[c_0_93,c_0_76]),
[final] ).
cnf(c_0_105,plain,
( ~ next(X1,e_4)
| ~ greater(X2,e_0)
| ~ cycle(X1,X2)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_94,c_0_70]),
[final] ).
cnf(c_0_106,plain,
( ~ next(X1,e_4)
| ~ greater(X2,e_0)
| ~ cycle(X1,X2)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_95,c_0_70]),
[final] ).
cnf(c_0_107,plain,
( ~ greater(X2,X1)
| ~ product(X1,e_1,X2)
| ~ cycle(X1,e_0) ),
c_0_96,
[final] ).
cnf(c_0_116,axiom,
greater(e_5,e_2),
e_5_greater_e_2,
[final] ).
cnf(c_0_117,plain,
~ equalish(e_4,e_1),
c_0_109,
[final] ).
cnf(c_0_119,plain,
~ equalish(e_1,e_5),
c_0_110,
[final] ).
cnf(c_0_122,axiom,
greater(e_4,e_0),
e_4_greater_e_0,
[final] ).
cnf(c_0_123,plain,
( ~ product(e_4,X1,X2)
| ~ product(e_1,X1,X2) ),
inference(spm,[status(thm)],[c_0_117,c_0_65]),
[final] ).
cnf(c_0_124,plain,
( ~ product(X1,X4,X3)
| ~ product(X1,X2,X3)
| equalish(X2,X4) ),
c_0_118,
[final] ).
cnf(c_0_127,plain,
( ~ product(e_1,X1,X2)
| ~ product(e_5,X1,X2) ),
inference(spm,[status(thm)],[c_0_119,c_0_65]),
[final] ).
cnf(c_0_129,axiom,
greater(e_5,e_3),
e_5_greater_e_3,
[final] ).
cnf(c_0_131,axiom,
greater(e_3,e_0),
e_3_greater_e_0,
[final] ).
cnf(c_0_133,axiom,
group_element(e_4),
element_4,
[final] ).
cnf(c_0_134,plain,
~ product(e_4,e_1,e_1),
inference(spm,[status(thm)],[c_0_123,c_0_76]),
[final] ).
cnf(c_0_135,plain,
( ~ product(X1,e_4,X2)
| ~ product(X1,e_1,X2) ),
inference(spm,[status(thm)],[c_0_117,c_0_124]),
[final] ).
cnf(c_0_136,plain,
~ equalish(e_4,e_5),
c_0_125,
[final] ).
cnf(c_0_137,plain,
( ~ product(X1,X2,X4)
| ~ product(X1,X2,X3)
| equalish(X3,X4) ),
c_0_126,
[final] ).
cnf(c_0_139,axiom,
group_element(e_5),
element_5,
[final] ).
cnf(c_0_140,plain,
~ product(e_5,e_1,e_1),
inference(spm,[status(thm)],[c_0_127,c_0_76]),
[final] ).
cnf(c_0_143,axiom,
greater(e_2,e_0),
e_2_greater_e_0,
[final] ).
cnf(c_0_144,negated_conjecture,
( ~ product(X2,X1,X4)
| ~ product(X1,X2,X3)
| product(X3,X4,X2) ),
c_0_132,
[final] ).
cnf(c_0_146,plain,
( ~ group_element(X1)
| product(X1,e_4,e_1)
| product(X1,e_4,e_2)
| product(X1,e_4,e_3)
| product(X1,e_4,e_4)
| product(X1,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_73,c_0_133]),
[final] ).
cnf(c_0_147,plain,
~ product(e_1,e_4,e_1),
inference(spm,[status(thm)],[c_0_135,c_0_76]),
[final] ).
cnf(c_0_148,plain,
( ~ product(X1,X2,e_4)
| ~ product(X1,X2,e_5) ),
inference(spm,[status(thm)],[c_0_136,c_0_137]),
[final] ).
cnf(c_0_149,plain,
~ equalish(e_3,e_5),
c_0_138,
[final] ).
cnf(c_0_150,plain,
( ~ product(X1,e_1,X2)
| ~ product(X1,e_5,X2) ),
inference(spm,[status(thm)],[c_0_119,c_0_124]),
[final] ).
cnf(c_0_154,axiom,
greater(e_4,e_2),
e_4_greater_e_2,
[final] ).
cnf(c_0_157,plain,
~ product(e_5,e_5,e_4),
inference(spm,[status(thm)],[c_0_148,c_0_76]),
[final] ).
cnf(c_0_159,plain,
( ~ product(e_3,X1,X2)
| ~ product(e_5,X1,X2) ),
inference(spm,[status(thm)],[c_0_149,c_0_65]),
[final] ).
cnf(c_0_160,plain,
( product(e_5,e_1,e_2)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_151]),c_0_76])]),
[final] ).
cnf(c_0_165,plain,
~ equalish(e_2,e_5),
c_0_158,
[final] ).
cnf(c_0_166,plain,
( ~ product(e_3,e_1,e_4)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_159,c_0_160]),
[final] ).
cnf(c_0_168,plain,
~ equalish(e_3,e_2),
c_0_162,
[final] ).
cnf(c_0_171,plain,
( ~ product(e_2,X1,X2)
| ~ product(e_5,X1,X2) ),
inference(spm,[status(thm)],[c_0_165,c_0_65]),
[final] ).
cnf(c_0_173,plain,
( ~ product(e_3,X1,X2)
| ~ product(e_2,X1,X2) ),
inference(spm,[status(thm)],[c_0_168,c_0_65]),
[final] ).
cnf(c_0_179,plain,
( ~ product(e_4,X1,X2)
| ~ product(e_5,X1,X2) ),
inference(spm,[status(thm)],[c_0_136,c_0_65]),
[final] ).
cnf(c_0_181,plain,
( ~ product(e_3,X1,X2)
| ~ product(e_4,X1,X2) ),
inference(spm,[status(thm)],[c_0_94,c_0_65]),
[final] ).
cnf(c_0_182,plain,
( ~ product(e_2,X1,X2)
| ~ product(e_4,X1,X2) ),
inference(spm,[status(thm)],[c_0_95,c_0_65]),
[final] ).
cnf(c_0_183,plain,
( ~ group_element(X1)
| product(X1,e_5,e_1)
| product(X1,e_5,e_2)
| product(X1,e_5,e_3)
| product(X1,e_5,e_4)
| product(X1,e_5,e_5) ),
inference(spm,[status(thm)],[c_0_73,c_0_139]),
[final] ).
cnf(c_0_184,plain,
~ product(e_1,e_5,e_1),
inference(spm,[status(thm)],[c_0_150,c_0_76]),
[final] ).
cnf(c_0_186,plain,
~ product(e_4,e_1,e_2),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_180]),c_0_181]),c_0_182]),
[final] ).
cnf(c_0_195,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_3,e_5,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_177]),c_0_193]),
[final] ).
cnf(c_0_197,negated_conjecture,
( product(e_1,e_5,e_2)
| product(e_1,e_5,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_195]),c_0_196]),
[final] ).
cnf(c_0_198,negated_conjecture,
( ~ product(e_5,e_1,X1)
| product(X1,e_3,e_1)
| product(e_1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_144,c_0_197]),
[final] ).
cnf(c_0_199,negated_conjecture,
( product(e_1,e_5,e_2)
| product(e_4,e_3,e_1)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_198,c_0_160]),
[final] ).
cnf(c_0_200,negated_conjecture,
( ~ product(e_5,e_1,X1)
| product(X1,e_2,e_1)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_3)
| product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_144,c_0_199]),
[final] ).
cnf(c_0_208,plain,
( ~ product(X1,e_3,X2)
| ~ product(X1,e_1,X2) ),
inference(spm,[status(thm)],[c_0_80,c_0_124]),
[final] ).
cnf(c_0_211,negated_conjecture,
( ~ product(e_3,e_1,e_2)
| product(e_4,e_2,e_1)
| product(e_4,e_3,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_207]),c_0_173]),
[final] ).
cnf(c_0_212,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_3,e_1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_209]),c_0_76])]),
[final] ).
cnf(c_0_216,plain,
~ product(e_4,e_5,e_5),
inference(spm,[status(thm)],[c_0_179,c_0_76]),
[final] ).
cnf(c_0_218,plain,
( ~ product(X1,e_2,X2)
| ~ product(X1,e_5,X2) ),
inference(spm,[status(thm)],[c_0_165,c_0_124]),
[final] ).
cnf(c_0_223,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_2,e_5,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_220,c_0_177]),c_0_221]),
[final] ).
cnf(c_0_224,plain,
~ product(e_2,e_5,e_5),
inference(spm,[status(thm)],[c_0_171,c_0_76]),
[final] ).
cnf(c_0_225,plain,
( ~ product(X1,e_2,X2)
| ~ product(X1,e_1,X2) ),
inference(spm,[status(thm)],[c_0_64,c_0_124]),
[final] ).
cnf(c_0_227,negated_conjecture,
( ~ product(e_4,e_5,e_3)
| product(e_1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_123,c_0_197]),
[final] ).
cnf(c_0_228,plain,
( ~ product(X1,e_4,X2)
| ~ product(X1,e_5,X2) ),
inference(spm,[status(thm)],[c_0_136,c_0_124]),
[final] ).
cnf(c_0_231,plain,
~ product(e_2,e_5,e_3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_225,c_0_226]),c_0_76])]),
[final] ).
cnf(c_0_234,plain,
( ~ product(X1,X2,e_2)
| ~ product(X1,X2,e_4) ),
inference(spm,[status(thm)],[c_0_95,c_0_137]),
[final] ).
cnf(c_0_235,plain,
( ~ group_element(X1)
| product(X1,e_2,e_1)
| product(X1,e_2,e_2)
| product(X1,e_2,e_3)
| product(X1,e_2,e_4)
| product(X1,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_73,c_0_72]),
[final] ).
cnf(c_0_236,plain,
~ product(e_5,e_2,e_5),
inference(spm,[status(thm)],[c_0_218,c_0_76]),
[final] ).
cnf(c_0_238,negated_conjecture,
~ product(e_2,e_5,e_2),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_232,c_0_233]),c_0_234]),c_0_182]),
[final] ).
cnf(c_0_240,plain,
( product(e_2,e_5,e_4)
| product(e_2,e_5,e_1) ),
inference(sr,[status(thm)],[c_0_237,c_0_238]),
[final] ).
cnf(c_0_242,negated_conjecture,
( ~ product(e_5,e_2,X1)
| product(X1,e_1,e_2)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_144,c_0_240]),
[final] ).
cnf(c_0_244,plain,
( ~ product(X1,e_3,X2)
| ~ product(X1,e_4,X2) ),
inference(spm,[status(thm)],[c_0_94,c_0_124]),
[final] ).
cnf(c_0_245,plain,
( ~ group_element(X1)
| product(X1,e_3,e_1)
| product(X1,e_3,e_2)
| product(X1,e_3,e_3)
| product(X1,e_3,e_4)
| product(X1,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_73,c_0_92]),
[final] ).
cnf(c_0_246,plain,
~ product(e_1,e_3,e_1),
inference(spm,[status(thm)],[c_0_208,c_0_76]),
[final] ).
cnf(c_0_250,plain,
( ~ product(X1,e_3,X2)
| ~ product(X1,e_5,X2) ),
inference(spm,[status(thm)],[c_0_149,c_0_124]),
[final] ).
cnf(c_0_251,plain,
( ~ product(X1,e_3,X2)
| ~ product(X1,e_2,X2) ),
inference(spm,[status(thm)],[c_0_168,c_0_124]),
[final] ).
cnf(c_0_253,negated_conjecture,
( ~ product(e_1,e_4,e_3)
| product(e_1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_228,c_0_197]),
[final] ).
cnf(c_0_256,plain,
~ product(e_1,e_2,e_1),
inference(spm,[status(thm)],[c_0_225,c_0_76]),
[final] ).
cnf(c_0_257,plain,
~ product(e_3,e_2,e_3),
inference(spm,[status(thm)],[c_0_251,c_0_76]),
[final] ).
cnf(c_0_262,plain,
( ~ product(X1,e_2,X2)
| ~ product(X1,e_4,X2) ),
inference(spm,[status(thm)],[c_0_95,c_0_124]),
[final] ).
cnf(c_0_266,negated_conjecture,
( ~ product(e_3,e_2,e_4)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_218,c_0_195]),
[final] ).
cnf(c_0_271,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_3,e_2,e_5) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_264,c_0_265]),c_0_266]),c_0_267]),
[final] ).
cnf(c_0_274,plain,
~ product(e_5,e_4,e_5),
inference(spm,[status(thm)],[c_0_228,c_0_76]),
[final] ).
cnf(c_0_276,plain,
( ~ product(X1,X2,e_3)
| ~ product(X1,X2,e_2) ),
inference(spm,[status(thm)],[c_0_168,c_0_137]),
[final] ).
cnf(c_0_280,plain,
~ product(e_3,e_3,e_2),
inference(spm,[status(thm)],[c_0_276,c_0_76]),
[final] ).
cnf(c_0_282,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_2,e_5,e_4) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_278,c_0_279]),c_0_280]),c_0_221]),
[final] ).
cnf(c_0_285,negated_conjecture,
( ~ product(e_1,e_5,X1)
| product(X1,e_4,e_5)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_144,c_0_160]),
[final] ).
cnf(c_0_286,plain,
~ product(e_5,e_3,e_5),
inference(spm,[status(thm)],[c_0_250,c_0_76]),
[final] ).
cnf(c_0_289,negated_conjecture,
( product(e_5,e_1,e_2)
| product(e_5,e_1,e_3)
| product(e_3,e_4,e_5)
| product(e_1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_285,c_0_197]),
[final] ).
cnf(c_0_295,negated_conjecture,
( ~ product(e_5,e_3,e_2)
| product(e_2,e_5,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_244,c_0_291]),c_0_251]),
[final] ).
cnf(c_0_296,plain,
( ~ product(X1,X2,e_3)
| ~ product(X1,X2,e_4) ),
inference(spm,[status(thm)],[c_0_94,c_0_137]),
[final] ).
cnf(c_0_297,plain,
~ product(e_4,e_3,e_4),
inference(spm,[status(thm)],[c_0_244,c_0_76]),
[final] ).
cnf(c_0_300,negated_conjecture,
( ~ product(e_5,e_3,X1)
| product(X1,e_4,e_3)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_144,c_0_195]),
[final] ).
cnf(c_0_302,plain,
~ product(e_4,e_4,e_3),
inference(spm,[status(thm)],[c_0_296,c_0_76]),
[final] ).
cnf(c_0_320,plain,
( ~ product(X1,X2,e_4)
| ~ product(X1,X2,e_1) ),
inference(spm,[status(thm)],[c_0_117,c_0_137]),
[final] ).
cnf(c_0_325,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_4,e_3,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_319]),c_0_76])]),
[final] ).
cnf(c_0_327,plain,
~ product(e_1,e_1,e_4),
inference(spm,[status(thm)],[c_0_320,c_0_76]),
[final] ).
cnf(c_0_328,plain,
~ product(e_2,e_4,e_4),
inference(spm,[status(thm)],[c_0_182,c_0_76]),
[final] ).
cnf(c_0_331,negated_conjecture,
( ~ product(e_1,e_3,X1)
| product(X1,e_2,e_3)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_144,c_0_212]),
[final] ).
cnf(c_0_334,negated_conjecture,
( ~ product(e_3,e_4,X1)
| product(X1,e_2,e_4)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_144,c_0_325]),
[final] ).
cnf(c_0_337,plain,
~ product(e_2,e_3,e_3),
inference(spm,[status(thm)],[c_0_173,c_0_76]),
[final] ).
cnf(c_0_341,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_334,c_0_282]),
[final] ).
cnf(c_0_346,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_2,e_4,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_338,c_0_177]),c_0_221]),
[final] ).
cnf(c_0_349,negated_conjecture,
( product(e_5,e_2,e_3)
| product(e_2,e_5,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_251,c_0_340]),c_0_341]),
[final] ).
cnf(c_0_353,plain,
~ product(e_2,e_4,e_3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_225,c_0_345]),c_0_76])]),
[final] ).
cnf(c_0_354,negated_conjecture,
( ~ product(e_2,e_3,e_4)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_250,c_0_346]),
[final] ).
cnf(c_0_357,negated_conjecture,
( ~ product(e_2,e_5,X1)
| product(X1,e_3,e_5)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_144,c_0_349]),
[final] ).
cnf(c_0_358,negated_conjecture,
( ~ product(e_5,e_2,X1)
| product(X1,e_4,e_2)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_144,c_0_346]),
[final] ).
cnf(c_0_360,plain,
~ product(e_4,e_4,e_2),
inference(spm,[status(thm)],[c_0_234,c_0_76]),
[final] ).
cnf(c_0_361,negated_conjecture,
( ~ product(e_4,e_5,e_3)
| ~ product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_228,c_0_227]),
[final] ).
cnf(c_0_365,negated_conjecture,
~ product(e_2,e_3,e_2),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_355]),c_0_182]),c_0_208]),
[final] ).
cnf(c_0_366,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_5,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_315,c_0_356]),
[final] ).
cnf(c_0_367,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_1,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_357,c_0_240]),
[final] ).
cnf(c_0_371,negated_conjecture,
( ~ product(e_2,e_4,X1)
| product(X1,e_1,e_4)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_144,c_0_223]),
[final] ).
cnf(c_0_374,negated_conjecture,
( ~ product(e_2,e_3,e_5)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_75,c_0_367]),
[final] ).
cnf(c_0_377,plain,
~ product(e_4,e_2,e_4),
inference(spm,[status(thm)],[c_0_262,c_0_76]),
[final] ).
cnf(c_0_378,plain,
( ~ product(X1,X2,e_2)
| ~ product(X1,X2,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_137]),
[final] ).
cnf(c_0_380,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_5,e_1,e_4) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_371,c_0_372]),c_0_373]),c_0_374]),
[final] ).
cnf(c_0_387,plain,
~ product(e_1,e_1,e_2),
inference(spm,[status(thm)],[c_0_378,c_0_76]),
[final] ).
cnf(c_0_389,negated_conjecture,
~ product(e_2,e_1,e_4),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_380]),c_0_150]),
[final] ).
cnf(c_0_391,plain,
~ product(e_2,e_2,e_5),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_262,c_0_382]),c_0_76])]),
[final] ).
cnf(c_0_396,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_4,e_5,e_2)
| product(e_3,e_1,e_4) ),
inference(sr,[status(thm)],[c_0_388,c_0_389]),
[final] ).
cnf(c_0_418,plain,
( ~ product(e_2,e_3,e_1)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_250,c_0_240]),
[final] ).
cnf(c_0_424,plain,
( ~ product(X1,X2,e_1)
| ~ product(X1,X2,e_5) ),
inference(spm,[status(thm)],[c_0_119,c_0_137]),
[final] ).
cnf(c_0_433,negated_conjecture,
( ~ product(e_3,e_1,e_2)
| product(e_3,e_5,e_4)
| product(e_3,e_4,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_422]),c_0_173]),
[final] ).
cnf(c_0_440,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_2,e_5,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_250,c_0_428]),c_0_325]),
[final] ).
cnf(c_0_443,negated_conjecture,
( ~ product(e_1,e_4,e_3)
| ~ product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_123,c_0_253]),
[final] ).
cnf(c_0_452,negated_conjecture,
( ~ product(e_5,e_2,X1)
| product(X1,e_4,e_2)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_144,c_0_440]),
[final] ).
cnf(c_0_456,plain,
~ product(e_2,e_2,e_4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_251,c_0_442]),c_0_76])]),
[final] ).
cnf(c_0_457,plain,
( ~ product(X1,X2,e_2)
| ~ product(X1,X2,e_5) ),
inference(spm,[status(thm)],[c_0_165,c_0_137]),
[final] ).
cnf(c_0_477,negated_conjecture,
~ product(e_2,e_1,e_5),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_467]),c_0_455]),
[final] ).
cnf(c_0_489,negated_conjecture,
( ~ product(e_3,e_1,e_2)
| product(e_3,e_5,e_4)
| product(e_4,e_3,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_479]),c_0_173]),
[final] ).
cnf(c_0_491,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_3,e_4,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_309,c_0_481]),c_0_482]),
[final] ).
cnf(c_0_493,plain,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5) ),
inference(sr,[status(thm)],[c_0_344,c_0_365]),
[final] ).
cnf(c_0_494,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_4,e_3,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_304,c_0_481]),c_0_484]),
[final] ).
cnf(c_0_498,plain,
~ product(e_3,e_5,e_5),
inference(spm,[status(thm)],[c_0_159,c_0_76]),
[final] ).
cnf(c_0_499,negated_conjecture,
( ~ product(e_5,e_4,X1)
| product(X1,e_2,e_4)
| product(e_3,e_1,e_4)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_144,c_0_396]),
[final] ).
cnf(c_0_501,negated_conjecture,
( ~ product(e_3,e_2,e_5)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_262,c_0_491]),
[final] ).
cnf(c_0_503,negated_conjecture,
( ~ product(e_2,e_3,e_1)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_182,c_0_494]),
[final] ).
cnf(c_0_507,negated_conjecture,
( ~ product(e_2,e_3,e_4)
| product(e_5,e_1,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_371,c_0_354]),c_0_250]),
[final] ).
cnf(c_0_513,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_3,e_1,e_4)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_499,c_0_497]),
[final] ).
cnf(c_0_516,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_501,c_0_502]),
[final] ).
cnf(c_0_517,negated_conjecture,
~ product(e_2,e_4,e_2),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_457,c_0_503]),c_0_504]),
[final] ).
cnf(c_0_520,negated_conjecture,
( ~ product(e_2,e_3,e_4)
| ~ product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_159,c_0_507]),
[final] ).
cnf(c_0_521,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_508,c_0_396]),
[final] ).
cnf(c_0_524,negated_conjecture,
( product(e_4,e_5,e_3)
| product(e_4,e_5,e_2)
| product(e_3,e_1,e_4) ),
inference(sr,[status(thm)],[c_0_370,c_0_389]),
[final] ).
cnf(c_0_531,plain,
( product(e_2,e_4,e_5)
| product(e_2,e_4,e_1) ),
inference(sr,[status(thm)],[c_0_399,c_0_517]),
[final] ).
cnf(c_0_534,negated_conjecture,
( ~ product(e_2,e_3,e_4)
| product(e_3,e_5,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_520,c_0_521]),c_0_148]),
[final] ).
cnf(c_0_539,negated_conjecture,
( ~ product(e_4,e_3,e_2)
| product(e_3,e_1,e_4)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_250,c_0_396]),
[final] ).
cnf(c_0_542,negated_conjecture,
( ~ product(e_5,e_1,e_2)
| product(e_3,e_2,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_234,c_0_528]),c_0_171]),
[final] ).
cnf(c_0_544,negated_conjecture,
( ~ product(e_5,e_1,X1)
| ~ product(e_1,e_4,e_3)
| product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_144,c_0_253]),
[final] ).
cnf(c_0_553,negated_conjecture,
( ~ product(e_1,e_4,e_3)
| ~ product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_93,c_0_253]),
[final] ).
cnf(c_0_561,plain,
~ product(e_2,e_2,e_1),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_244,c_0_546]),c_0_547]),
[final] ).
cnf(c_0_565,negated_conjecture,
( ~ product(e_3,e_5,e_2)
| product(e_1,e_4,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_553,c_0_444]),c_0_228]),
[final] ).
cnf(c_0_567,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_3,e_5,e_4)
| product(e_3,e_4,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_555]),c_0_556]),
[final] ).
cnf(c_0_578,negated_conjecture,
( ~ product(e_3,e_2,e_4)
| product(e_3,e_4,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_225,c_0_567]),c_0_218]),
[final] ).
cnf(c_0_580,plain,
( ~ product(X1,X2,e_3)
| ~ product(X1,X2,e_5) ),
inference(spm,[status(thm)],[c_0_149,c_0_137]),
[final] ).
cnf(c_0_582,negated_conjecture,
~ product(e_3,e_5,e_3),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_548,c_0_571]),c_0_572]),c_0_573]),c_0_150]),c_0_574]),
[final] ).
cnf(c_0_585,negated_conjecture,
( ~ product(e_5,e_4,e_2)
| product(e_3,e_5,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_576]),c_0_159]),
[final] ).
cnf(c_0_587,negated_conjecture,
( ~ product(e_3,e_2,X1)
| product(X1,e_1,e_2)
| product(e_2,e_3,e_5)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_144,c_0_493]),
[final] ).
cnf(c_0_588,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_3,e_2,e_5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_580,c_0_581]),c_0_76])]),
[final] ).
cnf(c_0_589,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_4,e_5,e_2)
| product(e_3,e_5,e_2) ),
inference(sr,[status(thm)],[c_0_563,c_0_582]),
[final] ).
cnf(c_0_592,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_2,e_3,e_5)
| product(e_5,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_587,c_0_588]),
[final] ).
cnf(c_0_593,negated_conjecture,
( ~ product(e_5,e_4,X1)
| product(X1,e_2,e_4)
| product(e_3,e_5,e_2)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_144,c_0_589]),
[final] ).
cnf(c_0_595,negated_conjecture,
( ~ product(e_4,e_3,e_2)
| product(e_3,e_5,e_2)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_250,c_0_589]),
[final] ).
cnf(c_0_598,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_3,e_5,e_2)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_595,c_0_596]),
[final] ).
cnf(c_0_599,plain,
~ product(e_1,e_1,e_5),
inference(spm,[status(thm)],[c_0_424,c_0_76]),
[final] ).
cnf(c_0_601,negated_conjecture,
( ~ product(e_4,e_5,e_3)
| ~ product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_93,c_0_227]),
[final] ).
cnf(c_0_602,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_3,e_5,e_2)
| product(e_3,e_5,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_597]),c_0_598]),
[final] ).
cnf(c_0_608,negated_conjecture,
( ~ product(e_3,e_5,e_2)
| product(e_3,e_1,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_601,c_0_524]),c_0_181]),
[final] ).
cnf(c_0_614,negated_conjecture,
( ~ product(e_3,e_5,e_2)
| ~ product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_225,c_0_608]),
[final] ).
cnf(c_0_615,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_3,e_1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_609]),c_0_76])]),
[final] ).
cnf(c_0_620,negated_conjecture,
( ~ product(e_3,e_5,e_2)
| product(e_3,e_3,e_5)
| product(e_5,e_1,e_2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_613]),c_0_614]),c_0_234]),
[final] ).
cnf(c_0_622,negated_conjecture,
~ product(e_3,e_3,e_5),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_616]),c_0_617]),
[final] ).
cnf(c_0_623,negated_conjecture,
~ product(e_3,e_4,e_2),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_615]),c_0_228]),
[final] ).
cnf(c_0_628,negated_conjecture,
~ product(e_2,e_1,e_2),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_620,c_0_621]),c_0_622]),c_0_171]),
[final] ).
cnf(c_0_629,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_1,e_4,e_3) ),
inference(sr,[status(thm)],[c_0_444,c_0_623]),
[final] ).
cnf(c_0_636,negated_conjecture,
( product(e_1,e_2,e_5)
| product(e_3,e_2,e_5) ),
inference(sr,[status(thm)],[c_0_627,c_0_628]),
[final] ).
cnf(c_0_637,negated_conjecture,
~ product(e_1,e_3,e_3),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_244,c_0_629]),c_0_323]),
[final] ).
cnf(c_0_638,negated_conjecture,
~ product(e_1,e_3,e_2),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_324,c_0_629]),c_0_244]),
[final] ).
cnf(c_0_640,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_3,e_2,e_5) ),
inference(sr,[status(thm)],[c_0_460,c_0_628]),
[final] ).
cnf(c_0_644,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_3,e_2,e_5) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_635,c_0_636]),c_0_637]),c_0_638]),
[final] ).
cnf(c_0_647,plain,
product(e_2,e_1,e_3),
inference(sr,[status(thm)],[c_0_177,c_0_628]),
[final] ).
cnf(c_0_648,negated_conjecture,
( ~ product(e_2,e_4,e_5)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_173,c_0_640]),
[final] ).
cnf(c_0_649,negated_conjecture,
~ product(e_1,e_2,e_3),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_262,c_0_629]),c_0_641]),
[final] ).
cnf(c_0_650,negated_conjecture,
~ product(e_1,e_2,e_2),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_259,c_0_629]),c_0_262]),
[final] ).
cnf(c_0_652,plain,
( product(e_1,e_3,e_4)
| product(e_1,e_3,e_5) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_249,c_0_637]),c_0_638]),
[final] ).
cnf(c_0_653,negated_conjecture,
( ~ product(e_3,e_1,X1)
| product(X1,e_4,e_1)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_144,c_0_644]),
[final] ).
cnf(c_0_654,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_3,e_2,e_5) ),
inference(sr,[status(thm)],[c_0_397,c_0_628]),
[final] ).
cnf(c_0_657,negated_conjecture,
( ~ product(e_1,e_2,X1)
| product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_144,c_0_647]),
[final] ).
cnf(c_0_658,negated_conjecture,
( ~ product(e_2,e_4,e_5)
| product(e_1,e_2,e_4) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_270,c_0_648]),c_0_649]),c_0_650]),
[final] ).
cnf(c_0_659,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_2,e_4,e_5) ),
inference(sr,[status(thm)],[c_0_651,c_0_517]),
[final] ).
cnf(c_0_660,plain,
( ~ product(e_2,e_3,e_5)
| product(e_1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_75,c_0_652]),
[final] ).
cnf(c_0_661,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_653,c_0_654]),
[final] ).
cnf(c_0_664,negated_conjecture,
( ~ product(e_2,e_4,e_5)
| product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_657,c_0_658]),
[final] ).
cnf(c_0_666,plain,
( ~ product(e_2,e_3,e_5)
| ~ product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_251,c_0_660]),
[final] ).
cnf(c_0_667,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_2,e_4,e_1) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_270,c_0_661]),c_0_649]),c_0_650]),
[final] ).
cnf(c_0_672,negated_conjecture,
~ product(e_4,e_2,e_5),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_225,c_0_663]),c_0_181]),
[final] ).
cnf(c_0_673,negated_conjecture,
~ product(e_4,e_2,e_2),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_251,c_0_664]),c_0_665]),
[final] ).
cnf(c_0_675,negated_conjecture,
( ~ product(e_2,e_3,e_5)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_666,c_0_667]),
[final] ).
cnf(c_0_679,plain,
( product(e_1,e_2,e_4)
| product(e_1,e_2,e_5) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_263,c_0_649]),c_0_650]),
[final] ).
cnf(c_0_681,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_3,e_2,e_5) ),
inference(sr,[status(thm)],[c_0_480,c_0_628]),
[final] ).
cnf(c_0_682,negated_conjecture,
~ product(e_4,e_1,e_4),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_670]),c_0_671]),
[final] ).
cnf(c_0_683,negated_conjecture,
( ~ product(e_4,e_2,X1)
| product(X1,e_5,e_2)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_144,c_0_516]),
[final] ).
cnf(c_0_684,plain,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_3) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_386,c_0_672]),c_0_673]),
[final] ).
cnf(c_0_685,negated_conjecture,
( ~ product(e_2,e_3,e_5)
| product(e_4,e_2,e_3) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_674,c_0_675]),c_0_672]),c_0_673]),c_0_327]),
[final] ).
cnf(c_0_690,negated_conjecture,
( product(e_5,e_3,e_2)
| product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_657,c_0_679]),
[final] ).
cnf(c_0_693,negated_conjecture,
( ~ product(e_3,e_5,e_4)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_320,c_0_681]),
[final] ).
cnf(c_0_696,negated_conjecture,
( product(e_1,e_5,e_2)
| product(e_4,e_2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_683,c_0_684]),c_0_685]),
[final] ).
cnf(c_0_701,negated_conjecture,
( ~ product(e_2,e_1,X1)
| product(X1,e_4,e_1)
| product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_144,c_0_690]),
[final] ).
cnf(c_0_704,negated_conjecture,
( ~ product(e_2,e_3,e_4)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_693,c_0_534]),
[final] ).
cnf(c_0_705,negated_conjecture,
( ~ product(e_4,e_5,e_3)
| product(e_5,e_3,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_361,c_0_694]),c_0_150]),
[final] ).
cnf(c_0_707,negated_conjecture,
( ~ product(e_4,e_5,e_2)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_123,c_0_696]),
[final] ).
cnf(c_0_712,negated_conjecture,
( product(e_5,e_3,e_2)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_701,c_0_647]),
[final] ).
cnf(c_0_716,negated_conjecture,
( ~ product(e_2,e_3,e_4)
| product(e_1,e_2,e_4) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_270,c_0_704]),c_0_649]),c_0_650]),
[final] ).
cnf(c_0_717,negated_conjecture,
( ~ product(e_3,e_5,X1)
| ~ product(e_4,e_5,e_3)
| product(X1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_144,c_0_705]),
[final] ).
cnf(c_0_718,plain,
( product(e_4,e_5,e_3)
| product(e_4,e_2,e_3) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_706,c_0_672]),c_0_673]),c_0_707]),
[final] ).
cnf(c_0_723,negated_conjecture,
( ~ product(e_4,e_3,e_2)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_179,c_0_712]),
[final] ).
cnf(c_0_727,negated_conjecture,
( ~ product(e_3,e_1,e_2)
| product(e_2,e_3,e_5)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_234,c_0_521]),
[final] ).
cnf(c_0_729,negated_conjecture,
( ~ product(e_2,e_3,e_4)
| product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_657,c_0_716]),
[final] ).
cnf(c_0_730,negated_conjecture,
( ~ product(e_3,e_5,X1)
| product(X1,e_1,e_5)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_717,c_0_718]),
[final] ).
cnf(c_0_732,negated_conjecture,
( ~ product(e_2,e_4,e_5)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_723,c_0_664]),
[final] ).
cnf(c_0_736,negated_conjecture,
( ~ product(e_5,e_1,X1)
| ~ product(e_4,e_5,e_3)
| product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_144,c_0_227]),
[final] ).
cnf(c_0_737,negated_conjecture,
( ~ product(e_5,e_1,X1)
| product(X1,e_2,e_1)
| product(e_3,e_4,e_5)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_144,c_0_289]),
[final] ).
cnf(c_0_738,plain,
~ product(e_3,e_4,e_4),
inference(spm,[status(thm)],[c_0_181,c_0_76]),
[final] ).
cnf(c_0_741,negated_conjecture,
( ~ product(e_2,e_3,e_4)
| product(e_4,e_2,e_1) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_728,c_0_729]),c_0_628]),c_0_320]),
[final] ).
cnf(c_0_745,negated_conjecture,
( ~ product(e_5,e_4,e_3)
| product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_127,c_0_629]),
[final] ).
cnf(c_0_750,negated_conjecture,
( ~ product(e_5,e_1,X1)
| product(X1,e_2,e_1)
| product(e_3,e_1,e_4)
| product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_736,c_0_524]),
[final] ).
cnf(c_0_756,negated_conjecture,
( ~ product(e_2,e_3,e_4)
| product(e_1,e_5,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_683,c_0_741]),c_0_148]),
[final] ).
cnf(c_0_757,negated_conjecture,
~ product(e_4,e_1,e_3),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_580,c_0_742]),c_0_225]),
[final] ).
cnf(c_0_758,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[c_0_743,c_0_628]),
[final] ).
cnf(c_0_759,negated_conjecture,
( product(e_5,e_4,e_2)
| product(e_5,e_4,e_3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_744]),c_0_76])]),
[final] ).
cnf(c_0_760,negated_conjecture,
( ~ product(e_4,e_1,X1)
| ~ product(e_5,e_4,e_3)
| product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_144,c_0_745]),
[final] ).
cnf(c_0_762,plain,
( ~ product(X1,X2,e_3)
| ~ product(X1,X2,e_1) ),
inference(spm,[status(thm)],[c_0_80,c_0_137]),
[final] ).
cnf(c_0_775,negated_conjecture,
( ~ product(e_2,e_3,e_4)
| ~ product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_228,c_0_756]),
[final] ).
cnf(c_0_776,negated_conjecture,
( product(e_5,e_3,e_1)
| product(e_1,e_4,e_2) ),
inference(sr,[status(thm)],[c_0_694,c_0_757]),
[final] ).
cnf(c_0_777,negated_conjecture,
( ~ product(e_5,e_4,e_2)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_127,c_0_758]),
[final] ).
cnf(c_0_779,negated_conjecture,
( ~ product(e_4,e_1,X1)
| product(X1,e_2,e_1)
| product(e_5,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_760,c_0_759]),
[final] ).
cnf(c_0_790,plain,
~ equalish(e_1,e_2),
c_0_768,
[final] ).
cnf(c_0_791,plain,
( ~ next(X4,X5)
| ~ greater(X2,e_0)
| ~ next(X1,X3)
| ~ cycle(X3,X4)
| ~ cycle(X1,X2)
| equalish(X2,X5) ),
c_0_769,
[final] ).
cnf(c_0_792,plain,
~ equalish(e_4,e_2),
c_0_770,
[final] ).
cnf(c_0_798,negated_conjecture,
( ~ product(e_2,e_3,e_4)
| product(e_5,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_775,c_0_776]),
[final] ).
cnf(c_0_800,negated_conjecture,
( ~ product(e_4,e_5,e_2)
| product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_443,c_0_629]),
[final] ).
cnf(c_0_802,negated_conjecture,
~ product(e_3,e_4,e_3),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_781]),c_0_782]),
[final] ).
cnf(c_0_803,plain,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_4) ),
inference(sr,[status(thm)],[c_0_678,c_0_628]),
[final] ).
cnf(c_0_804,negated_conjecture,
( ~ product(e_2,e_5,e_1)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_173,c_0_681]),
[final] ).
cnf(c_0_805,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_2,e_3,e_5)
| product(e_3,e_1,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_783,c_0_784]),c_0_785]),
[final] ).
cnf(c_0_810,negated_conjecture,
( ~ product(e_3,e_1,e_2)
| product(e_4,e_2,e_1)
| product(e_3,e_4,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_789]),c_0_173]),
[final] ).
cnf(c_0_811,plain,
( ~ next(X1,X2)
| ~ next(X3,e_2)
| ~ cycle(X2,X3)
| ~ cycle(X1,e_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_790,c_0_791]),c_0_85])]),
[final] ).
cnf(c_0_812,plain,
( ~ next(X1,X2)
| ~ next(X3,e_2)
| ~ cycle(X2,X3)
| ~ cycle(X1,e_3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_791]),c_0_131])]),
[final] ).
cnf(c_0_813,plain,
( ~ next(X1,X2)
| ~ next(X3,e_2)
| ~ cycle(X2,X3)
| ~ cycle(X1,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_792,c_0_791]),c_0_122])]),
[final] ).
cnf(c_0_814,negated_conjecture,
( product(e_5,e_1,e_4)
| product(e_2,e_4,e_5) ),
inference(sr,[status(thm)],[c_0_634,c_0_517]),
[final] ).
cnf(c_0_816,negated_conjecture,
( ~ product(e_2,e_3,e_4)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_723,c_0_729]),
[final] ).
cnf(c_0_819,negated_conjecture,
~ product(e_5,e_3,e_3),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_762,c_0_798]),c_0_799]),
[final] ).
cnf(c_0_820,negated_conjecture,
( ~ product(e_4,e_5,e_2)
| ~ product(e_5,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_127,c_0_800]),
[final] ).
cnf(c_0_821,negated_conjecture,
( product(e_5,e_2,e_1)
| product(e_5,e_4,e_2) ),
inference(sr,[status(thm)],[c_0_801,c_0_757]),
[final] ).
cnf(c_0_823,negated_conjecture,
( product(e_4,e_3,e_2)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_657,c_0_667]),
[final] ).
cnf(c_0_825,plain,
( ~ product(e_3,e_2,e_4)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_225,c_0_803]),
[final] ).
cnf(c_0_826,negated_conjecture,
( ~ product(e_2,e_5,e_1)
| ~ product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_148,c_0_804]),
[final] ).
cnf(c_0_827,negated_conjecture,
( ~ product(e_1,e_3,X1)
| product(X1,e_4,e_3)
| product(e_2,e_3,e_5)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_144,c_0_805]),
[final] ).
cnf(c_0_835,axiom,
next(e_1,e_2),
e_1_then_e_2,
[final] ).
cnf(c_0_837,negated_conjecture,
( ~ product(e_2,e_5,e_4)
| product(e_2,e_3,e_5)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_173,c_0_598]),
[final] ).
cnf(c_0_839,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_5,e_4,e_2)
| product(e_1,e_4,e_2) ),
inference(sr,[status(thm)],[c_0_815,c_0_623]),
[final] ).
cnf(c_0_840,negated_conjecture,
( ~ product(e_2,e_3,e_4)
| ~ product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_424,c_0_816]),
[final] ).
cnf(c_0_841,negated_conjecture,
( product(e_5,e_2,e_1)
| product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[c_0_731,c_0_628]),
[final] ).
cnf(c_0_845,plain,
( product(e_5,e_3,e_1)
| product(e_5,e_3,e_2)
| product(e_5,e_3,e_4) ),
inference(sr,[status(thm)],[c_0_290,c_0_819]),
[final] ).
cnf(c_0_846,negated_conjecture,
( ~ product(e_4,e_5,e_2)
| product(e_5,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_820,c_0_821]),
[final] ).
cnf(c_0_847,plain,
( product(e_3,e_4,e_5)
| product(e_3,e_4,e_1) ),
inference(sr,[status(thm)],[c_0_822,c_0_623]),
[final] ).
cnf(c_0_848,negated_conjecture,
( ~ product(e_1,e_3,X1)
| product(X1,e_2,e_3)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_144,c_0_615]),
[final] ).
cnf(c_0_849,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_3,e_1,e_4)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_539,c_0_823]),
[final] ).
cnf(c_0_850,negated_conjecture,
( ~ product(e_3,e_1,X1)
| product(X1,e_5,e_1)
| product(e_1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_144,c_0_652]),
[final] ).
cnf(c_0_851,negated_conjecture,
( ~ product(e_3,e_2,e_4)
| product(e_1,e_3,e_4) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_824,c_0_825]),c_0_637]),c_0_638]),c_0_826]),
[final] ).
cnf(c_0_858,plain,
( cycle(e_4,e_0)
| cycle(e_4,e_1)
| cycle(e_4,e_2)
| cycle(e_4,e_3)
| cycle(e_4,e_4) ),
inference(spm,[status(thm)],[c_0_71,c_0_133]),
[final] ).
cnf(c_0_860,negated_conjecture,
( ~ product(e_2,e_3,e_1)
| product(e_3,e_5,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_837,c_0_418]),c_0_424]),
[final] ).
cnf(c_0_861,negated_conjecture,
~ product(e_5,e_2,e_4),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_658]),c_0_838]),
[final] ).
cnf(c_0_862,negated_conjecture,
( ~ product(e_2,e_3,e_4)
| product(e_5,e_4,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_775,c_0_839]),c_0_840]),
[final] ).
cnf(c_0_866,plain,
( ~ product(e_2,e_3,e_5)
| ~ product(e_5,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_127,c_0_660]),
[final] ).
cnf(c_0_867,plain,
( ~ product(e_5,e_2,e_1)
| product(e_5,e_3,e_4)
| product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_251,c_0_845]),
[final] ).
cnf(c_0_869,plain,
( ~ product(e_2,e_4,e_1)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_173,c_0_847]),
[final] ).
cnf(c_0_870,negated_conjecture,
( ~ product(e_5,e_2,e_3)
| product(e_5,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_262,c_0_759]),
[final] ).
cnf(c_0_871,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_5,e_2,e_3)
| product(e_1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_848,c_0_652]),
[final] ).
cnf(c_0_872,negated_conjecture,
( ~ product(e_1,e_3,X1)
| product(X1,e_4,e_3)
| product(e_2,e_4,e_1)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_144,c_0_849]),
[final] ).
cnf(c_0_873,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_4,e_5,e_1)
| product(e_3,e_5,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_850,c_0_513]),c_0_851]),
[final] ).
cnf(c_0_875,plain,
( ~ product(e_3,e_2,e_5)
| product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_93,c_0_679]),
[final] ).
cnf(c_0_876,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_5,e_4,e_3) ),
inference(sr,[status(thm)],[c_0_853,c_0_628]),
[final] ).
cnf(c_0_880,plain,
( ~ next(X1,X2)
| ~ next(X3,e_5)
| ~ cycle(X2,X3)
| ~ cycle(X1,e_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_791]),c_0_85])]),
[final] ).
cnf(c_0_881,plain,
( ~ next(X1,X2)
| ~ next(X3,e_5)
| ~ cycle(X2,X3)
| ~ cycle(X1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_791]),c_0_143])]),
[final] ).
cnf(c_0_882,plain,
( ~ next(X1,X2)
| ~ next(X3,e_5)
| ~ cycle(X2,X3)
| ~ cycle(X1,e_3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_791]),c_0_131])]),
[final] ).
cnf(c_0_883,plain,
( ~ next(X1,X2)
| ~ next(X3,e_5)
| ~ cycle(X2,X3)
| ~ cycle(X1,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_791]),c_0_122])]),
[final] ).
cnf(c_0_886,negated_conjecture,
( ~ product(e_2,e_3,e_1)
| product(e_5,e_1,e_2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_859,c_0_860]),c_0_182]),c_0_173]),
[final] ).
cnf(c_0_889,negated_conjecture,
~ product(e_5,e_2,e_2),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_262,c_0_862]),c_0_863]),
[final] ).
cnf(c_0_891,negated_conjecture,
( ~ product(e_3,e_1,e_2)
| product(e_3,e_2,e_4)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_234,c_0_513]),
[final] ).
cnf(c_0_892,negated_conjecture,
( ~ product(e_5,e_3,e_4)
| product(e_3,e_5,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_865]),c_0_866]),
[final] ).
cnf(c_0_894,plain,
( ~ product(e_2,e_4,e_1)
| ~ product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_262,c_0_869]),
[final] ).
cnf(c_0_895,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_3,e_2,e_4) ),
inference(sr,[status(thm)],[c_0_447,c_0_628]),
[final] ).
cnf(c_0_896,negated_conjecture,
( ~ product(e_5,e_2,e_3)
| ~ product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_820,c_0_870]),
[final] ).
cnf(c_0_897,negated_conjecture,
( ~ product(e_1,e_2,e_4)
| product(e_5,e_2,e_3)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_251,c_0_871]),
[final] ).
cnf(c_0_898,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_2,e_4,e_1)
| product(e_4,e_5,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_872,c_0_873]),c_0_302]),
[final] ).
cnf(c_0_899,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_5,e_4,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_874,c_0_875]),c_0_876]),
[final] ).
cnf(c_0_902,plain,
( ~ next(e_3,X1)
| ~ next(X2,e_5)
| ~ cycle(X1,X2)
| cycle(e_3,e_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_880,c_0_102]),c_0_881]),c_0_882]),c_0_883]),
[final] ).
cnf(c_0_903,axiom,
next(e_4,e_5),
e_4_then_e_5,
[final] ).
cnf(c_0_905,plain,
product(e_4,e_1,e_5),
inference(sr,[status(thm)],[c_0_780,c_0_757]),
[final] ).
cnf(c_0_906,axiom,
greater(e_5,e_4),
e_5_greater_e_4,
[final] ).
cnf(c_0_907,negated_conjecture,
( ~ product(e_2,e_3,e_1)
| product(e_1,e_4,e_2) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_885,c_0_886]),c_0_561]),c_0_887]),
[final] ).
cnf(c_0_908,plain,
( product(e_5,e_2,e_3)
| product(e_5,e_2,e_1) ),
inference(sr,[status(thm)],[c_0_888,c_0_889]),
[final] ).
cnf(c_0_912,negated_conjecture,
( ~ product(e_2,e_4,e_1)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_894,c_0_895]),
[final] ).
cnf(c_0_914,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_5,e_2,e_3)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_897,c_0_667]),
[final] ).
cnf(c_0_916,negated_conjecture,
( ~ product(e_4,e_5,X1)
| product(X1,e_3,e_5)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_144,c_0_899]),
[final] ).
cnf(c_0_917,negated_conjecture,
( ~ product(e_4,e_5,e_3)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_361,c_0_758]),
[final] ).
cnf(c_0_919,plain,
( ~ next(e_3,X1)
| ~ cycle(X1,e_4)
| cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_902,c_0_903]),
[final] ).
cnf(c_0_921,negated_conjecture,
( ~ product(e_2,e_3,e_1)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_542,c_0_886]),
[final] ).
cnf(c_0_924,plain,
( ~ product(e_4,e_2,e_1)
| product(e_5,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_179,c_0_908]),
[final] ).
cnf(c_0_925,negated_conjecture,
( ~ product(e_2,e_3,e_4)
| ~ product(e_5,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_234,c_0_507]),
[final] ).
cnf(c_0_926,plain,
( product(e_3,e_1,e_2)
| product(e_5,e_1,e_2) ),
inference(sr,[status(thm)],[c_0_180,c_0_628]),
[final] ).
cnf(c_0_930,negated_conjecture,
( ~ product(e_2,e_4,e_1)
| product(e_3,e_5,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_709,c_0_912]),c_0_628]),
[final] ).
cnf(c_0_931,negated_conjecture,
( product(e_4,e_5,e_3)
| product(e_2,e_4,e_1)
| product(e_3,e_5,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_913,c_0_914]),c_0_915]),
[final] ).
cnf(c_0_935,negated_conjecture,
( product(e_4,e_3,e_2)
| product(e_5,e_2,e_1) ),
inference(sr,[status(thm)],[c_0_864,c_0_628]),
[final] ).
cnf(c_0_939,plain,
( ~ next(X1,X2)
| ~ next(X3,e_1)
| ~ cycle(X2,X3)
| ~ cycle(X1,e_3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_791]),c_0_131])]),
[final] ).
cnf(c_0_941,plain,
( ~ next(X1,X2)
| ~ next(X3,e_1)
| ~ cycle(X2,X3)
| ~ cycle(X1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_791]),c_0_143])]),
[final] ).
cnf(c_0_942,negated_conjecture,
( ~ product(e_2,e_3,e_1)
| product(e_1,e_2,e_4) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_270,c_0_921]),c_0_922]),c_0_923]),
[final] ).
cnf(c_0_943,negated_conjecture,
( ~ product(e_2,e_5,X1)
| ~ product(e_4,e_2,e_1)
| product(X1,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_144,c_0_924]),
[final] ).
cnf(c_0_944,negated_conjecture,
( ~ product(e_2,e_3,e_4)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_925,c_0_926]),
[final] ).
cnf(c_0_945,negated_conjecture,
( ~ product(e_4,e_2,e_1)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_179,c_0_841]),
[final] ).
cnf(c_0_946,negated_conjecture,
~ product(e_4,e_3,e_5),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_927]),c_0_457]),
[final] ).
cnf(c_0_950,plain,
( product(e_1,e_2,e_4)
| product(e_1,e_3,e_4) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_933,c_0_637]),c_0_649]),c_0_650]),c_0_638]),
[final] ).
cnf(c_0_951,negated_conjecture,
( ~ product(e_1,e_2,e_4)
| product(e_3,e_5,e_4)
| product(e_4,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_251,c_0_873]),
[final] ).
cnf(c_0_953,negated_conjecture,
( ~ product(e_4,e_2,e_1)
| product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_179,c_0_935]),
[final] ).
cnf(c_0_956,negated_conjecture,
( ~ product(e_1,e_3,X1)
| product(X1,e_4,e_3)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_144,c_0_803]),
[final] ).
cnf(c_0_959,plain,
~ equalish(e_1,e_3),
c_0_938,
[final] ).
cnf(c_0_961,axiom,
next(e_0,e_1),
e_0_then_e_1,
[final] ).
cnf(c_0_964,negated_conjecture,
( ~ product(e_2,e_3,e_1)
| product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_657,c_0_942]),
[final] ).
cnf(c_0_965,negated_conjecture,
( ~ product(e_2,e_5,X1)
| product(X1,e_3,e_5)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_943,c_0_684]),
[final] ).
cnf(c_0_966,negated_conjecture,
( ~ product(e_2,e_3,e_4)
| product(e_2,e_5,e_1) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_824,c_0_944]),c_0_637]),c_0_638]),c_0_75]),
[final] ).
cnf(c_0_967,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_945,c_0_684]),
[final] ).
cnf(c_0_968,negated_conjecture,
( product(e_5,e_2,e_1)
| product(e_3,e_5,e_4) ),
inference(sr,[status(thm)],[c_0_584,c_0_946]),
[final] ).
cnf(c_0_970,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_3,e_1,e_4)
| product(e_4,e_5,e_2) ),
inference(sr,[status(thm)],[c_0_831,c_0_628]),
[final] ).
cnf(c_0_971,negated_conjecture,
( ~ product(e_4,e_5,e_3)
| ~ product(e_5,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_251,c_0_705]),
[final] ).
cnf(c_0_974,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_3,e_5,e_4)
| product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_951,c_0_690]),
[final] ).
cnf(c_0_975,negated_conjecture,
( product(e_4,e_3,e_2)
| product(e_4,e_5,e_2) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_952,c_0_628]),c_0_953]),
[final] ).
cnf(c_0_978,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_4,e_5,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_956,c_0_957]),c_0_302]),
[final] ).
cnf(c_0_980,plain,
( ~ next(X1,X2)
| ~ next(X3,e_3)
| ~ cycle(X2,X3)
| ~ cycle(X1,e_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_959,c_0_791]),c_0_85])]),
[final] ).
cnf(c_0_981,plain,
( ~ next(X1,X2)
| ~ next(X3,e_3)
| ~ cycle(X2,X3)
| ~ cycle(X1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_791]),c_0_143])]),
[final] ).
cnf(c_0_982,plain,
( ~ next(X1,X2)
| ~ next(X3,e_3)
| ~ cycle(X2,X3)
| ~ cycle(X1,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_791]),c_0_122])]),
[final] ).
cnf(c_0_984,axiom,
cycle(e_5,e_0),
cycle3,
[final] ).
cnf(c_0_986,negated_conjecture,
( product(e_1,e_2,e_5)
| product(e_4,e_3,e_2) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_963,c_0_628]),c_0_964]),
[final] ).
cnf(c_0_987,negated_conjecture,
( product(e_4,e_2,e_3)
| product(e_1,e_3,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_965,c_0_966]),c_0_967]),
[final] ).
cnf(c_0_988,negated_conjecture,
( ~ product(e_4,e_2,e_1)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_179,c_0_968]),
[final] ).
cnf(c_0_991,negated_conjecture,
( ~ product(e_4,e_3,e_2)
| product(e_3,e_1,e_4)
| product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_250,c_0_970]),
[final] ).
cnf(c_0_994,negated_conjecture,
( ~ product(e_4,e_5,e_3)
| product(e_5,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_971,c_0_908]),
[final] ).
cnf(c_0_996,negated_conjecture,
( ~ product(e_4,e_3,e_2)
| product(e_3,e_5,e_4)
| product(e_4,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_179,c_0_974]),
[final] ).
cnf(c_0_997,negated_conjecture,
( ~ product(e_3,e_5,e_2)
| product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_181,c_0_975]),
[final] ).
cnf(c_0_1002,negated_conjecture,
( ~ product(e_1,e_4,e_2)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_3)
| product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_228,c_0_199]),
[final] ).
cnf(c_0_1003,negated_conjecture,
( ~ product(e_3,e_5,e_1)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_181,c_0_978]),
[final] ).
cnf(c_0_1006,plain,
( ~ next(e_2,X1)
| ~ next(X2,e_3)
| ~ cycle(X1,X2)
| cycle(e_2,e_3)
| cycle(e_2,e_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_980,c_0_84]),c_0_981]),c_0_982]),
[final] ).
cnf(c_0_1007,plain,
( cycle(e_3,e_2)
| cycle(e_3,e_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_983,c_0_984]),c_0_903])]),
[final] ).
cnf(c_0_1009,negated_conjecture,
( ~ product(e_3,e_2,e_5)
| product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_93,c_0_986]),
[final] ).
cnf(c_0_1010,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_4,e_2,e_1)
| product(e_3,e_1,e_4) ),
inference(sr,[status(thm)],[c_0_958,c_0_628]),
[final] ).
cnf(c_0_1011,negated_conjecture,
( ~ product(e_3,e_1,X1)
| product(X1,e_5,e_1)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_144,c_0_987]),
[final] ).
cnf(c_0_1012,plain,
( ~ product(e_3,e_5,e_4)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_150,c_0_803]),
[final] ).
cnf(c_0_1013,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_988,c_0_684]),
[final] ).
cnf(c_0_1014,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_4,e_2,e_1)
| product(e_3,e_1,e_4) ),
inference(sr,[status(thm)],[c_0_877,c_0_628]),
[final] ).
cnf(c_0_1015,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_4,e_2,e_1)
| product(e_3,e_1,e_4) ),
inference(sr,[status(thm)],[c_0_989,c_0_628]),
[final] ).
cnf(c_0_1016,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_4,e_2,e_1)
| product(e_3,e_1,e_4) ),
inference(sr,[status(thm)],[c_0_990,c_0_628]),
[final] ).
cnf(c_0_1017,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_3,e_1,e_4)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_991,c_0_823]),
[final] ).
cnf(c_0_1020,negated_conjecture,
( ~ product(e_2,e_5,X1)
| ~ product(e_4,e_5,e_3)
| product(X1,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_144,c_0_994]),
[final] ).
cnf(c_0_1021,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_4,e_5,e_3)
| product(e_3,e_5,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_995]),c_0_76])]),
[final] ).
cnf(c_0_1022,negated_conjecture,
( ~ product(e_4,e_5,X1)
| product(X1,e_3,e_5)
| product(e_5,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_144,c_0_759]),
[final] ).
cnf(c_0_1023,negated_conjecture,
( ~ product(e_3,e_5,e_2)
| product(e_4,e_5,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_996,c_0_997]),c_0_234]),
[final] ).
cnf(c_0_1024,negated_conjecture,
( ~ product(e_3,e_5,e_2)
| ~ product(e_5,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_127,c_0_565]),
[final] ).
cnf(c_0_1025,plain,
~ equalish(e_1,e_4),
c_0_998,
[final] ).
cnf(c_0_1026,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_2,e_3,e_1) ),
inference(sr,[status(thm)],[c_0_425,c_0_628]),
[final] ).
cnf(c_0_1032,negated_conjecture,
( ~ product(e_5,e_4,e_3)
| product(e_4,e_3,e_1)
| product(e_5,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1002,c_0_745]),c_0_135]),
[final] ).
cnf(c_0_1033,negated_conjecture,
( ~ product(e_3,e_5,e_1)
| product(e_1,e_3,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_850,c_0_1003]),c_0_173]),
[final] ).
cnf(c_0_1037,plain,
( ~ next(e_2,X1)
| ~ cycle(X1,e_2)
| cycle(e_2,e_0)
| cycle(e_2,e_3) ),
inference(spm,[status(thm)],[c_0_1006,c_0_86]),
[final] ).
cnf(c_0_1038,plain,
( ~ greater(X1,e_3)
| ~ product(e_3,e_1,X1)
| cycle(e_3,e_2) ),
inference(spm,[status(thm)],[c_0_107,c_0_1007]),
[final] ).
cnf(c_0_1039,negated_conjecture,
( ~ product(e_3,e_2,e_5)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1008,c_0_1009]),c_0_628]),
[final] ).
cnf(c_0_1040,negated_conjecture,
( ~ product(e_4,e_2,e_3)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_762,c_0_1010]),
[final] ).
cnf(c_0_1041,negated_conjecture,
( product(e_4,e_2,e_3)
| product(e_2,e_5,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1011,c_0_1012]),c_0_1013]),
[final] ).
cnf(c_0_1042,negated_conjecture,
( ~ product(e_4,e_2,e_3)
| product(e_3,e_1,e_4)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_762,c_0_1014]),
[final] ).
cnf(c_0_1043,negated_conjecture,
( ~ product(e_4,e_2,e_3)
| product(e_3,e_1,e_4)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_762,c_0_1015]),
[final] ).
cnf(c_0_1044,negated_conjecture,
( ~ product(e_4,e_2,e_3)
| product(e_3,e_1,e_4)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_762,c_0_1016]),
[final] ).
cnf(c_0_1045,negated_conjecture,
( ~ product(e_4,e_2,e_3)
| product(e_2,e_4,e_1)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_762,c_0_1017]),
[final] ).
cnf(c_0_1048,negated_conjecture,
( ~ product(e_3,e_1,e_2)
| product(e_3,e_5,e_1)
| product(e_2,e_3,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_234,c_0_1018]),c_0_173]),
[final] ).
cnf(c_0_1050,negated_conjecture,
( ~ product(e_2,e_5,X1)
| product(X1,e_3,e_5)
| product(e_3,e_5,e_2)
| product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_1020,c_0_1021]),
[final] ).
cnf(c_0_1051,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_5,e_2)
| product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_917,c_0_1021]),
[final] ).
cnf(c_0_1052,negated_conjecture,
( ~ product(e_3,e_5,e_2)
| product(e_1,e_3,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1022,c_0_1023]),c_0_1024]),
[final] ).
cnf(c_0_1053,plain,
( ~ next(X1,X2)
| ~ next(X3,e_4)
| ~ cycle(X2,X3)
| ~ cycle(X1,e_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1025,c_0_791]),c_0_85])]),
[final] ).
cnf(c_0_1054,plain,
( ~ next(X1,X2)
| ~ next(X3,e_4)
| ~ cycle(X2,X3)
| ~ cycle(X1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_791]),c_0_143])]),
[final] ).
cnf(c_0_1055,plain,
( ~ next(X1,X2)
| ~ next(X3,e_4)
| ~ cycle(X2,X3)
| ~ cycle(X1,e_3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_791]),c_0_131])]),
[final] ).
cnf(c_0_1056,negated_conjecture,
( ~ product(e_2,e_5,e_1)
| product(e_1,e_2,e_4) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_270,c_0_804]),c_0_649]),c_0_650]),
[final] ).
cnf(c_0_1057,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_2,e_5,e_1)
| product(e_2,e_3,e_1) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_824,c_0_1026]),c_0_637]),c_0_638]),
[final] ).
cnf(c_0_1059,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_3,e_5,e_2)
| product(e_4,e_2,e_1) ),
inference(sr,[status(thm)],[c_0_1028,c_0_628]),
[final] ).
cnf(c_0_1064,negated_conjecture,
( product(e_5,e_1,e_2)
| product(e_4,e_3,e_1)
| product(e_5,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_1032,c_0_759]),
[final] ).
cnf(c_0_1065,negated_conjecture,
( ~ product(e_3,e_5,e_1)
| ~ product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_251,c_0_1033]),
[final] ).
cnf(c_0_1067,negated_conjecture,
( ~ product(e_2,e_3,e_1)
| product(e_3,e_1,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1035,c_0_886]),c_0_424]),
[final] ).
cnf(c_0_1070,plain,
( ~ greater(X1,e_3)
| ~ product(e_3,e_1,X1)
| cycle(e_2,e_3)
| cycle(e_2,e_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1037,c_0_1038]),c_0_86])]),
[final] ).
cnf(c_0_1071,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_2,e_3,e_4)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_1039,c_0_661]),
[final] ).
cnf(c_0_1072,axiom,
greater(e_4,e_3),
e_4_greater_e_3,
[final] ).
cnf(c_0_1073,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_3,e_1,e_4)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1040,c_0_1041]),
[final] ).
cnf(c_0_1074,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_3,e_1,e_4)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1042,c_0_1041]),
[final] ).
cnf(c_0_1075,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_3,e_1,e_4)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1043,c_0_1041]),
[final] ).
cnf(c_0_1076,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_3,e_1,e_4)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1044,c_0_1041]),
[final] ).
cnf(c_0_1077,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_2,e_4,e_1)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1045,c_0_1041]),
[final] ).
cnf(c_0_1078,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[c_0_1046,c_0_628]),
[final] ).
cnf(c_0_1079,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_3,e_4,e_5)
| product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[c_0_1047,c_0_628]),
[final] ).
cnf(c_0_1080,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_3,e_5,e_1)
| product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[c_0_1018,c_0_628]),
[final] ).
cnf(c_0_1081,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_3,e_1,e_4)
| product(e_3,e_5,e_4) ),
inference(sr,[status(thm)],[c_0_698,c_0_628]),
[final] ).
cnf(c_0_1082,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_5,e_1)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_1048,c_0_615]),
[final] ).
cnf(c_0_1083,negated_conjecture,
( ~ product(e_2,e_1,X1)
| product(X1,e_4,e_1)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_144,c_0_667]),
[final] ).
cnf(c_0_1085,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_1,e_3,e_5) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1050,c_0_966]),c_0_1051]),c_0_1052]),
[final] ).
cnf(c_0_1086,plain,
( ~ next(e_3,X1)
| ~ next(X2,e_4)
| ~ cycle(X1,X2)
| cycle(e_3,e_4)
| cycle(e_3,e_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1053,c_0_102]),c_0_1054]),c_0_1055]),
[final] ).
cnf(c_0_1087,negated_conjecture,
( ~ product(e_2,e_5,e_1)
| product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_657,c_0_1056]),
[final] ).
cnf(c_0_1088,negated_conjecture,
( ~ product(e_1,e_2,e_4)
| product(e_2,e_3,e_1)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_251,c_0_1057]),
[final] ).
cnf(c_0_1089,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_3,e_4,e_5) ),
inference(sr,[status(thm)],[c_0_1058,c_0_628]),
[final] ).
cnf(c_0_1090,negated_conjecture,
( ~ product(e_4,e_2,e_3)
| product(e_3,e_5,e_2)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_762,c_0_1059]),
[final] ).
cnf(c_0_1094,negated_conjecture,
( ~ product(e_5,e_3,e_2)
| product(e_4,e_3,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_1064]),c_0_244]),
[final] ).
cnf(c_0_1095,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_5,e_2,e_3)
| product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_897,c_0_690]),
[final] ).
cnf(c_0_1096,negated_conjecture,
( ~ product(e_1,e_3,X1)
| product(X1,e_2,e_3)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_144,c_0_1026]),
[final] ).
cnf(c_0_1097,negated_conjecture,
( ~ product(e_3,e_5,e_1)
| product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_1065,c_0_690]),
[final] ).
cnf(c_0_1100,negated_conjecture,
( ~ product(e_2,e_5,X1)
| product(X1,e_1,e_5)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_144,c_0_968]),
[final] ).
cnf(c_0_1101,negated_conjecture,
( ~ product(e_2,e_3,e_1)
| ~ product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_150,c_0_1067]),
[final] ).
cnf(c_0_1119,negated_conjecture,
( ~ product(e_3,e_4,e_1)
| product(e_3,e_5,e_2)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_228,c_0_1082]),
[final] ).
cnf(c_0_1120,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_1083,c_0_647]),
[final] ).
cnf(c_0_1122,negated_conjecture,
( ~ product(e_1,e_3,e_4)
| product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_148,c_0_1085]),
[final] ).
cnf(c_0_1123,plain,
( ~ next(e_3,X1)
| ~ next(X2,e_3)
| ~ cycle(X1,X2)
| cycle(e_3,e_3)
| cycle(e_3,e_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_980,c_0_102]),c_0_981]),c_0_982]),
[final] ).
cnf(c_0_1124,plain,
( ~ next(e_3,X1)
| ~ cycle(X1,e_3)
| cycle(e_3,e_0)
| cycle(e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1086,c_0_103]),
[final] ).
cnf(c_0_1125,negated_conjecture,
( ~ product(e_2,e_5,e_1)
| product(e_4,e_2,e_1) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_728,c_0_1087]),c_0_628]),c_0_250]),
[final] ).
cnf(c_0_1126,negated_conjecture,
( ~ product(e_2,e_5,e_1)
| ~ product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_666,c_0_1056]),
[final] ).
cnf(c_0_1127,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_2,e_3,e_1)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_1088,c_0_1089]),
[final] ).
cnf(c_0_1128,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_2,e_3,e_1)
| product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_1088,c_0_690]),
[final] ).
cnf(c_0_1129,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_3,e_5,e_2)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1090,c_0_1041]),
[final] ).
cnf(c_0_1130,negated_conjecture,
( product(e_5,e_2,e_1)
| product(e_5,e_3,e_1) ),
inference(sr,[status(thm)],[c_0_1091,c_0_757]),
[final] ).
cnf(c_0_1131,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_4,e_2,e_1) ),
inference(sr,[status(thm)],[c_0_1092,c_0_628]),
[final] ).
cnf(c_0_1132,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_2,e_1)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_211,c_0_615]),
[final] ).
cnf(c_0_1135,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_5,e_2,e_3)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_1094,c_0_1095]),
[final] ).
cnf(c_0_1136,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_5,e_2,e_3)
| product(e_1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1096,c_0_652]),
[final] ).
cnf(c_0_1137,negated_conjecture,
( ~ product(e_3,e_2,e_4)
| product(e_4,e_3,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_489,c_0_825]),c_0_218]),
[final] ).
cnf(c_0_1138,negated_conjecture,
( ~ product(e_3,e_5,e_1)
| ~ product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_179,c_0_1097]),
[final] ).
cnf(c_0_1145,axiom,
greater(e_3,e_2),
e_3_greater_e_2,
[final] ).
cnf(c_0_1160,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_5,e_2)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_1119,c_0_1120]),
[final] ).
cnf(c_0_1163,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_3,e_5,e_4)
| product(e_4,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1122,c_0_873]),
[final] ).
cnf(c_0_1165,plain,
( ~ next(e_3,X1)
| ~ cycle(X1,e_2)
| cycle(e_3,e_0)
| cycle(e_3,e_3) ),
inference(spm,[status(thm)],[c_0_1123,c_0_86]),
[final] ).
cnf(c_0_1167,negated_conjecture,
( ~ product(e_2,e_5,e_1)
| product(e_1,e_5,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_683,c_0_1125]),c_0_1126]),
[final] ).
cnf(c_0_1168,negated_conjecture,
( ~ product(e_2,e_5,e_1)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_723,c_0_1087]),
[final] ).
cnf(c_0_1170,negated_conjecture,
( ~ product(e_4,e_3,X1)
| product(X1,e_5,e_3)
| product(e_2,e_3,e_1)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_144,c_0_1127]),
[final] ).
cnf(c_0_1171,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_2,e_3,e_1)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1094,c_0_1128]),
[final] ).
cnf(c_0_1172,negated_conjecture,
( product(e_5,e_1,e_2)
| product(e_2,e_5,e_1)
| product(e_3,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_620,c_0_1129]),c_0_622]),
[final] ).
cnf(c_0_1173,negated_conjecture,
( ~ product(e_5,e_3,e_2)
| product(e_5,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_378,c_0_1130]),
[final] ).
cnf(c_0_1174,negated_conjecture,
( ~ product(e_3,e_2,e_4)
| product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_93,c_0_690]),
[final] ).
cnf(c_0_1175,negated_conjecture,
( ~ product(e_4,e_1,X1)
| product(X1,e_2,e_1)
| product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_144,c_0_1131]),
[final] ).
cnf(c_0_1176,negated_conjecture,
( ~ product(e_4,e_3,e_2)
| product(e_3,e_5,e_2)
| product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_378,c_0_1132]),
[final] ).
cnf(c_0_1177,negated_conjecture,
( product(e_5,e_4,e_3)
| product(e_3,e_5,e_4) ),
inference(sr,[status(thm)],[c_0_594,c_0_946]),
[final] ).
cnf(c_0_1178,negated_conjecture,
( ~ product(e_3,e_1,e_4)
| product(e_4,e_3,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_1133]),c_0_150]),
[final] ).
cnf(c_0_1181,negated_conjecture,
( ~ product(e_4,e_5,e_2)
| product(e_4,e_3,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_896,c_0_1135]),c_0_181]),
[final] ).
cnf(c_0_1182,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[c_0_985,c_0_628]),
[final] ).
cnf(c_0_1183,negated_conjecture,
( ~ product(e_1,e_2,e_4)
| product(e_5,e_2,e_3)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_251,c_0_1136]),
[final] ).
cnf(c_0_1185,negated_conjecture,
( ~ product(e_3,e_4,X1)
| ~ product(e_3,e_2,e_4)
| product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_144,c_0_1137]),
[final] ).
cnf(c_0_1186,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_1) ),
inference(sr,[status(thm)],[c_0_710,c_0_628]),
[final] ).
cnf(c_0_1187,negated_conjecture,
( ~ product(e_4,e_2,e_1)
| ~ product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1138,c_0_953]),
[final] ).
cnf(c_0_1196,negated_conjecture,
( cycle(e_2,e_3)
| product(e_2,e_4,e_1)
| product(e_2,e_3,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1144,c_0_647]),c_0_1145])]),
[final] ).
cnf(c_0_1197,negated_conjecture,
( cycle(e_2,e_3)
| product(e_2,e_5,e_1)
| product(e_2,e_3,e_5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1146,c_0_647]),c_0_1145])]),
[final] ).
cnf(c_0_1198,negated_conjecture,
( cycle(e_2,e_3)
| product(e_2,e_5,e_1)
| product(e_3,e_4,e_5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1147,c_0_647]),c_0_1145])]),
[final] ).
cnf(c_0_1199,negated_conjecture,
( cycle(e_2,e_3)
| product(e_2,e_5,e_1)
| product(e_3,e_5,e_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1148,c_0_647]),c_0_1145])]),
[final] ).
cnf(c_0_1200,negated_conjecture,
( cycle(e_2,e_3)
| product(e_2,e_5,e_1)
| product(e_3,e_2,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1149,c_0_647]),c_0_1145])]),
[final] ).
cnf(c_0_1201,negated_conjecture,
( cycle(e_2,e_3)
| product(e_2,e_4,e_1)
| product(e_3,e_5,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1150,c_0_647]),c_0_1145])]),
[final] ).
cnf(c_0_1202,negated_conjecture,
( cycle(e_2,e_3)
| product(e_2,e_5,e_1)
| product(e_2,e_4,e_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1151,c_0_647]),c_0_1145])]),
[final] ).
cnf(c_0_1203,negated_conjecture,
( cycle(e_2,e_3)
| product(e_2,e_3,e_4)
| product(e_3,e_2,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1152,c_0_647]),c_0_1145])]),
[final] ).
cnf(c_0_1204,negated_conjecture,
( cycle(e_2,e_3)
| product(e_2,e_3,e_4)
| product(e_3,e_4,e_5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1153,c_0_647]),c_0_1145])]),
[final] ).
cnf(c_0_1205,negated_conjecture,
( cycle(e_2,e_3)
| product(e_2,e_3,e_4)
| product(e_3,e_5,e_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1154,c_0_647]),c_0_1145])]),
[final] ).
cnf(c_0_1206,negated_conjecture,
( cycle(e_2,e_3)
| product(e_3,e_5,e_4)
| product(e_3,e_5,e_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1155,c_0_647]),c_0_1145])]),
[final] ).
cnf(c_0_1207,negated_conjecture,
( cycle(e_2,e_3)
| product(e_2,e_3,e_5)
| product(e_2,e_3,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1156,c_0_647]),c_0_1145])]),
[final] ).
cnf(c_0_1208,negated_conjecture,
( cycle(e_2,e_3)
| product(e_3,e_4,e_5)
| product(e_3,e_5,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1157,c_0_647]),c_0_1145])]),
[final] ).
cnf(c_0_1209,negated_conjecture,
( cycle(e_2,e_3)
| product(e_2,e_3,e_5)
| product(e_3,e_5,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1158,c_0_647]),c_0_1145])]),
[final] ).
cnf(c_0_1210,negated_conjecture,
( cycle(e_2,e_3)
| product(e_3,e_2,e_4)
| product(e_3,e_5,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1159,c_0_647]),c_0_1145])]),
[final] ).
cnf(c_0_1211,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_3,e_2,e_4) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_270,c_0_895]),c_0_649]),c_0_650]),
[final] ).
cnf(c_0_1212,negated_conjecture,
( product(e_5,e_1,e_2)
| product(e_2,e_4,e_1)
| product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_620,c_0_1160]),c_0_622]),
[final] ).
cnf(c_0_1213,negated_conjecture,
( ~ product(e_2,e_3,e_4)
| ~ product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_244,c_0_862]),
[final] ).
cnf(c_0_1214,negated_conjecture,
( ~ product(e_5,e_3,e_4)
| product(e_3,e_1,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_1161]),c_0_866]),
[final] ).
cnf(c_0_1215,plain,
( product(e_5,e_3,e_2)
| product(e_5,e_3,e_4)
| product(e_5,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_867,c_0_908]),
[final] ).
cnf(c_0_1217,negated_conjecture,
~ product(e_4,e_5,e_4),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_320,c_0_1163]),c_0_234]),c_0_181]),
[final] ).
cnf(c_0_1218,negated_conjecture,
( ~ product(e_3,e_1,e_2)
| product(e_3,e_5,e_1)
| product(e_3,e_5,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_234,c_0_698]),c_0_173]),
[final] ).
cnf(c_0_1221,negated_conjecture,
( ~ product(e_2,e_5,e_1)
| ~ product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_228,c_0_1167]),
[final] ).
cnf(c_0_1222,negated_conjecture,
( ~ product(e_2,e_5,e_1)
| ~ product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_424,c_0_1168]),
[final] ).
cnf(c_0_1223,negated_conjecture,
( product(e_1,e_5,e_2)
| product(e_3,e_4,e_5)
| product(e_3,e_1,e_4) ),
inference(sr,[status(thm)],[c_0_954,c_0_628]),
[final] ).
cnf(c_0_1224,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_1,e_5,e_2)
| product(e_2,e_3,e_5) ),
inference(sr,[status(thm)],[c_0_1169,c_0_628]),
[final] ).
cnf(c_0_1225,plain,
( ~ product(e_1,e_2,e_5)
| product(e_1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_251,c_0_652]),
[final] ).
cnf(c_0_1226,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_2,e_3,e_1)
| product(e_1,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_1170,c_0_1171]),
[final] ).
cnf(c_0_1228,negated_conjecture,
( ~ product(e_3,e_2,e_4)
| product(e_5,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_1173,c_0_1174]),
[final] ).
cnf(c_0_1231,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_4,e_2,e_1)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_810,c_0_615]),
[final] ).
cnf(c_0_1232,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_3,e_5,e_2)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_1176,c_0_823]),
[final] ).
cnf(c_0_1233,negated_conjecture,
( ~ product(e_4,e_5,X1)
| product(X1,e_3,e_5)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_144,c_0_1177]),
[final] ).
cnf(c_0_1234,negated_conjecture,
( ~ product(e_3,e_1,e_4)
| product(e_4,e_5,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_996,c_0_1178]),c_0_150]),
[final] ).
cnf(c_0_1235,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_2,e_3,e_1)
| product(e_4,e_2,e_1) ),
inference(sr,[status(thm)],[c_0_1179,c_0_628]),
[final] ).
cnf(c_0_1236,negated_conjecture,
( ~ product(e_2,e_3,e_1)
| product(e_4,e_5,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_951,c_0_942]),c_0_1101]),
[final] ).
cnf(c_0_1237,negated_conjecture,
( ~ product(e_2,e_3,e_1)
| ~ product(e_5,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_135,c_0_886]),
[final] ).
cnf(c_0_1238,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_2,e_3,e_1)
| product(e_4,e_2,e_1) ),
inference(sr,[status(thm)],[c_0_1180,c_0_628]),
[final] ).
cnf(c_0_1239,negated_conjecture,
( ~ product(e_3,e_1,e_2)
| product(e_3,e_4,e_5)
| product(e_2,e_3,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_234,c_0_1047]),c_0_173]),
[final] ).
cnf(c_0_1240,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_1181,c_0_1182]),
[final] ).
cnf(c_0_1241,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_5,e_2,e_3)
| product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_1183,c_0_690]),
[final] ).
cnf(c_0_1243,negated_conjecture,
( ~ product(e_3,e_4,X1)
| product(X1,e_1,e_4)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1185,c_0_1186]),
[final] ).
cnf(c_0_1244,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_2,e_3,e_1)
| product(e_3,e_4,e_5) ),
inference(sr,[status(thm)],[c_0_687,c_0_628]),
[final] ).
cnf(c_0_1245,negated_conjecture,
( ~ product(e_3,e_5,e_1)
| product(e_4,e_3,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_211,c_0_1003]),c_0_1187]),
[final] ).
cnf(c_0_1249,negated_conjecture,
( ~ product(e_4,e_3,e_2)
| product(e_2,e_3,e_1)
| product(e_3,e_5,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_378,c_0_1190]),c_0_457]),
[final] ).
cnf(c_0_1251,negated_conjecture,
( ~ product(e_2,e_3,e_1)
| product(e_5,e_2,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_1091]),c_0_1193]),
[final] ).
cnf(c_0_1255,plain,
( ~ greater(X2,X5)
| ~ greater(X3,X1)
| ~ next(X3,X4)
| ~ cycle(X4,X5)
| ~ cycle(X3,e_0)
| ~ cycle(X1,X2) ),
c_0_1195,
[final] ).
cnf(c_0_1256,negated_conjecture,
( ~ next(e_2,X1)
| ~ next(X2,e_1)
| ~ cycle(X1,X2)
| product(e_2,e_3,e_4)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_939,c_0_1196]),
[final] ).
cnf(c_0_1257,negated_conjecture,
( ~ next(e_2,X1)
| ~ next(X2,e_1)
| ~ cycle(X1,X2)
| product(e_2,e_3,e_5)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_939,c_0_1197]),
[final] ).
cnf(c_0_1258,negated_conjecture,
( ~ next(e_2,X1)
| ~ next(X2,e_1)
| ~ cycle(X1,X2)
| product(e_3,e_4,e_5)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_939,c_0_1198]),
[final] ).
cnf(c_0_1259,negated_conjecture,
( ~ next(e_2,X1)
| ~ next(X2,e_1)
| ~ cycle(X1,X2)
| product(e_3,e_5,e_1)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_939,c_0_1199]),
[final] ).
cnf(c_0_1260,negated_conjecture,
( ~ next(e_2,X1)
| ~ next(X2,e_1)
| ~ cycle(X1,X2)
| product(e_3,e_2,e_4)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_939,c_0_1200]),
[final] ).
cnf(c_0_1261,negated_conjecture,
( ~ next(e_2,X1)
| ~ next(X2,e_1)
| ~ cycle(X1,X2)
| product(e_3,e_5,e_4)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_939,c_0_1201]),
[final] ).
cnf(c_0_1262,negated_conjecture,
( ~ next(e_2,X1)
| ~ next(X2,e_1)
| ~ cycle(X1,X2)
| product(e_2,e_4,e_1)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_939,c_0_1202]),
[final] ).
cnf(c_0_1263,negated_conjecture,
( ~ next(e_2,X1)
| ~ next(X2,e_1)
| ~ cycle(X1,X2)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_939,c_0_1203]),
[final] ).
cnf(c_0_1264,negated_conjecture,
( ~ next(e_2,X1)
| ~ next(X2,e_1)
| ~ cycle(X1,X2)
| product(e_3,e_4,e_5)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_939,c_0_1204]),
[final] ).
cnf(c_0_1265,negated_conjecture,
( ~ next(e_2,X1)
| ~ next(X2,e_1)
| ~ cycle(X1,X2)
| product(e_3,e_5,e_1)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_939,c_0_1205]),
[final] ).
cnf(c_0_1266,negated_conjecture,
( ~ next(e_2,X1)
| ~ next(X2,e_1)
| ~ cycle(X1,X2)
| product(e_3,e_5,e_1)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_939,c_0_1206]),
[final] ).
cnf(c_0_1267,negated_conjecture,
( ~ next(e_2,X1)
| ~ next(X2,e_1)
| ~ cycle(X1,X2)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_939,c_0_1207]),
[final] ).
cnf(c_0_1268,negated_conjecture,
( ~ next(e_2,X1)
| ~ next(X2,e_1)
| ~ cycle(X1,X2)
| product(e_3,e_5,e_4)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_939,c_0_1208]),
[final] ).
cnf(c_0_1269,negated_conjecture,
( ~ next(e_2,X1)
| ~ next(X2,e_1)
| ~ cycle(X1,X2)
| product(e_3,e_5,e_4)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_939,c_0_1209]),
[final] ).
cnf(c_0_1270,negated_conjecture,
( ~ next(e_2,X1)
| ~ next(X2,e_1)
| ~ cycle(X1,X2)
| product(e_3,e_5,e_4)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_939,c_0_1210]),
[final] ).
cnf(c_0_1271,negated_conjecture,
( ~ product(e_2,e_3,e_5)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_666,c_0_1211]),
[final] ).
cnf(c_0_1272,negated_conjecture,
( ~ product(e_5,e_3,e_2)
| product(e_2,e_4,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_1212]),c_0_1213]),
[final] ).
cnf(c_0_1273,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_5,e_2,e_3)
| product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_1214,c_0_1215]),
[final] ).
cnf(c_0_1274,negated_conjecture,
( ~ product(e_5,e_3,e_4)
| product(e_2,e_3,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_1216]),c_0_866]),
[final] ).
cnf(c_0_1275,negated_conjecture,
( product(e_5,e_2,e_1)
| product(e_4,e_5,e_3) ),
inference(sr,[status(thm)],[c_0_868,c_0_1217]),
[final] ).
cnf(c_0_1276,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_1,e_4,e_2) ),
inference(sr,[status(thm)],[c_0_576,c_0_623]),
[final] ).
cnf(c_0_1278,plain,
( cycle(e_2,e_3)
| product(e_3,e_1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1219,c_0_647]),c_0_1145])]),
[final] ).
cnf(c_0_1280,negated_conjecture,
( ~ product(e_2,e_5,e_1)
| product(e_5,e_4,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1221,c_0_839]),c_0_1222]),
[final] ).
cnf(c_0_1281,negated_conjecture,
( ~ product(e_1,e_4,e_2)
| product(e_3,e_1,e_4)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_228,c_0_1223]),
[final] ).
cnf(c_0_1282,negated_conjecture,
( ~ product(e_1,e_4,e_2)
| product(e_2,e_3,e_5)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_228,c_0_1224]),
[final] ).
cnf(c_0_1284,plain,
( ~ product(e_1,e_2,e_5)
| ~ product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_75,c_0_1225]),
[final] ).
cnf(c_0_1285,negated_conjecture,
( ~ product(e_1,e_4,e_3)
| product(e_2,e_3,e_1)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_228,c_0_1226]),
[final] ).
cnf(c_0_1286,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_5,e_2,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1227,c_0_821]),c_0_1228]),
[final] ).
cnf(c_0_1287,negated_conjecture,
( product(e_5,e_2,e_1)
| product(e_4,e_2,e_1) ),
inference(sr,[status(thm)],[c_0_1229,c_0_757]),
[final] ).
cnf(c_0_1289,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_3,e_5,e_2)
| product(e_4,e_2,e_1) ),
inference(sr,[status(thm)],[c_0_1230,c_0_628]),
[final] ).
cnf(c_0_1290,negated_conjecture,
( ~ product(e_4,e_2,e_3)
| product(e_3,e_5,e_2)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_762,c_0_1231]),
[final] ).
cnf(c_0_1291,negated_conjecture,
( ~ product(e_4,e_2,e_3)
| product(e_2,e_4,e_1)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_762,c_0_1232]),
[final] ).
cnf(c_0_1292,negated_conjecture,
( ~ product(e_2,e_5,X1)
| product(X1,e_3,e_5)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_943,c_0_1010]),
[final] ).
cnf(c_0_1293,negated_conjecture,
( ~ product(e_3,e_1,e_4)
| product(e_1,e_3,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1233,c_0_1234]),c_0_150]),
[final] ).
cnf(c_0_1294,negated_conjecture,
( ~ product(e_2,e_5,X1)
| product(X1,e_3,e_5)
| product(e_2,e_4,e_1)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_943,c_0_1232]),
[final] ).
cnf(c_0_1295,negated_conjecture,
( ~ product(e_2,e_5,X1)
| product(X1,e_3,e_5)
| product(e_2,e_3,e_1)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_943,c_0_1235]),
[final] ).
cnf(c_0_1296,negated_conjecture,
( ~ product(e_2,e_3,e_1)
| product(e_1,e_3,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1022,c_0_1236]),c_0_1237]),
[final] ).
cnf(c_0_1297,negated_conjecture,
( ~ product(e_2,e_5,X1)
| product(X1,e_3,e_5)
| product(e_2,e_3,e_1)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_943,c_0_1238]),
[final] ).
cnf(c_0_1298,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_3,e_5,e_1) ),
inference(sr,[status(thm)],[c_0_720,c_0_628]),
[final] ).
cnf(c_0_1299,negated_conjecture,
( ~ product(e_2,e_5,X1)
| product(X1,e_3,e_5)
| product(e_3,e_5,e_2)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_943,c_0_1231]),
[final] ).
cnf(c_0_1300,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_4,e_5)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_1239,c_0_615]),
[final] ).
cnf(c_0_1301,negated_conjecture,
( ~ product(e_3,e_4,X1)
| product(X1,e_1,e_4)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_144,c_0_1240]),
[final] ).
cnf(c_0_1302,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_5,e_2,e_3)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_1094,c_0_1241]),
[final] ).
cnf(c_0_1304,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_5,e_1,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1243,c_0_1244]),c_0_507]),
[final] ).
cnf(c_0_1305,negated_conjecture,
( ~ product(e_3,e_4,X1)
| ~ product(e_3,e_5,e_1)
| product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_144,c_0_1245]),
[final] ).
cnf(c_0_1306,negated_conjecture,
( ~ product(e_2,e_5,e_4)
| product(e_3,e_5,e_2)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_173,c_0_602]),
[final] ).
cnf(c_0_1312,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_2,e_3,e_1)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_1249,c_0_823]),
[final] ).
cnf(c_0_1313,negated_conjecture,
( ~ product(e_3,e_2,e_4)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_148,c_0_661]),
[final] ).
cnf(c_0_1314,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_3,e_2,e_4)
| product(e_3,e_5,e_4) ),
inference(sr,[status(thm)],[c_0_1063,c_0_628]),
[final] ).
cnf(c_0_1315,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_3,e_5,e_2)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_595,c_0_823]),
[final] ).
cnf(c_0_1317,negated_conjecture,
( product(e_5,e_2,e_1)
| product(e_3,e_1,e_2) ),
inference(sr,[status(thm)],[c_0_1250,c_0_628]),
[final] ).
cnf(c_0_1318,negated_conjecture,
( ~ product(e_2,e_3,e_1)
| ~ product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_179,c_0_1251]),
[final] ).
cnf(c_0_1319,negated_conjecture,
( ~ product(e_2,e_4,e_1)
| product(e_5,e_3,e_2) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1252,c_0_912]),c_0_628]),c_0_650]),c_0_649]),
[final] ).
cnf(c_0_1320,negated_conjecture,
( ~ product(e_1,e_2,e_5)
| product(e_3,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_956,c_0_1225]),c_0_302]),
[final] ).
cnf(c_0_1325,negated_conjecture,
( ~ product(e_5,e_3,e_4)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_208,c_0_814]),
[final] ).
cnf(c_0_1326,negated_conjecture,
( product(e_1,e_5,e_3)
| product(e_2,e_4,e_5) ),
inference(sr,[status(thm)],[c_0_633,c_0_517]),
[final] ).
cnf(c_0_1328,plain,
( ~ next(e_3,X1)
| ~ greater(X4,X2)
| ~ greater(e_3,X3)
| ~ cycle(X3,X4)
| ~ cycle(X1,X2)
| cycle(e_3,e_2) ),
inference(spm,[status(thm)],[c_0_1255,c_0_1007]),
[final] ).
cnf(c_0_1329,plain,
( ~ next(e_5,X1)
| ~ greater(X4,X2)
| ~ greater(e_5,X3)
| ~ cycle(X3,X4)
| ~ cycle(X1,X2) ),
inference(spm,[status(thm)],[c_0_1255,c_0_984]),
[final] ).
cnf(c_0_1330,negated_conjecture,
( ~ next(e_2,X1)
| ~ cycle(X1,e_0)
| product(e_2,e_4,e_1)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1256,c_0_961]),
[final] ).
cnf(c_0_1331,negated_conjecture,
( ~ next(e_2,X1)
| ~ cycle(X1,e_0)
| product(e_2,e_5,e_1)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_1257,c_0_961]),
[final] ).
cnf(c_0_1332,negated_conjecture,
( ~ next(e_2,X1)
| ~ cycle(X1,e_0)
| product(e_2,e_5,e_1)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_1258,c_0_961]),
[final] ).
cnf(c_0_1333,negated_conjecture,
( ~ next(e_2,X1)
| ~ cycle(X1,e_0)
| product(e_2,e_5,e_1)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1259,c_0_961]),
[final] ).
cnf(c_0_1334,negated_conjecture,
( ~ next(e_2,X1)
| ~ cycle(X1,e_0)
| product(e_2,e_5,e_1)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_1260,c_0_961]),
[final] ).
cnf(c_0_1335,negated_conjecture,
( ~ next(e_2,X1)
| ~ cycle(X1,e_0)
| product(e_2,e_4,e_1)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_1261,c_0_961]),
[final] ).
cnf(c_0_1336,negated_conjecture,
( ~ next(e_2,X1)
| ~ cycle(X1,e_0)
| product(e_2,e_5,e_1)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_1262,c_0_961]),
[final] ).
cnf(c_0_1337,negated_conjecture,
( ~ next(e_2,X1)
| ~ cycle(X1,e_0)
| product(e_2,e_3,e_4)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_1263,c_0_961]),
[final] ).
cnf(c_0_1338,negated_conjecture,
( ~ next(e_2,X1)
| ~ cycle(X1,e_0)
| product(e_2,e_3,e_4)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_1264,c_0_961]),
[final] ).
cnf(c_0_1339,negated_conjecture,
( ~ next(e_2,X1)
| ~ cycle(X1,e_0)
| product(e_2,e_3,e_4)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1265,c_0_961]),
[final] ).
cnf(c_0_1340,negated_conjecture,
( ~ next(e_2,X1)
| ~ cycle(X1,e_0)
| product(e_3,e_5,e_4)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1266,c_0_961]),
[final] ).
cnf(c_0_1341,negated_conjecture,
( ~ next(e_2,X1)
| ~ cycle(X1,e_0)
| product(e_2,e_3,e_5)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1267,c_0_961]),
[final] ).
cnf(c_0_1342,negated_conjecture,
( ~ next(e_2,X1)
| ~ cycle(X1,e_0)
| product(e_3,e_4,e_5)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_1268,c_0_961]),
[final] ).
cnf(c_0_1343,negated_conjecture,
( ~ next(e_2,X1)
| ~ cycle(X1,e_0)
| product(e_2,e_3,e_5)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_1269,c_0_961]),
[final] ).
cnf(c_0_1344,negated_conjecture,
( ~ next(e_2,X1)
| ~ cycle(X1,e_0)
| product(e_3,e_2,e_4)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_1270,c_0_961]),
[final] ).
cnf(c_0_1345,plain,
( ~ product(e_5,e_3,e_4)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_208,c_0_160]),
[final] ).
cnf(c_0_1346,negated_conjecture,
( product(e_4,e_5,e_3)
| product(e_5,e_3,e_4)
| product(e_5,e_3,e_2) ),
inference(sr,[status(thm)],[c_0_893,c_0_1217]),
[final] ).
cnf(c_0_1347,negated_conjecture,
( ~ product(e_4,e_5,e_3)
| ~ product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_378,c_0_705]),
[final] ).
cnf(c_0_1348,negated_conjecture,
( ~ product(e_2,e_3,e_5)
| product(e_5,e_3,e_2) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1252,c_0_1271]),c_0_628]),c_0_650]),c_0_649]),
[final] ).
cnf(c_0_1350,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_5,e_2,e_3)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_1272,c_0_1273]),
[final] ).
cnf(c_0_1352,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_5,e_2,e_3)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_1183,c_0_667]),
[final] ).
cnf(c_0_1353,negated_conjecture,
( ~ product(e_5,e_2,e_3)
| product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_762,c_0_1275]),
[final] ).
cnf(c_0_1354,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_5,e_2,e_3)
| product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_1096,c_0_1085]),
[final] ).
cnf(c_0_1355,negated_conjecture,
( ~ product(e_4,e_5,e_3)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_361,c_0_1276]),
[final] ).
cnf(c_0_1356,negated_conjecture,
( ~ product(e_3,e_5,X1)
| ~ product(e_3,e_5,e_1)
| product(X1,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_144,c_0_1097]),
[final] ).
cnf(c_0_1357,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_3,e_5,e_1)
| product(e_3,e_5,e_4) ),
inference(sr,[status(thm)],[c_0_1277,c_0_628]),
[final] ).
cnf(c_0_1358,plain,
( ~ next(e_2,X1)
| ~ next(X2,e_5)
| ~ cycle(X1,X2)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_882,c_0_1278]),
[final] ).
cnf(c_0_1360,negated_conjecture,
( product(e_5,e_1,e_2)
| product(e_4,e_2,e_1)
| product(e_4,e_5,e_2) ),
inference(sr,[status(thm)],[c_0_809,c_0_628]),
[final] ).
cnf(c_0_1361,negated_conjecture,
( ~ product(e_3,e_1,e_2)
| product(e_4,e_2,e_1)
| product(e_4,e_5,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_809]),c_0_173]),
[final] ).
cnf(c_0_1362,negated_conjecture,
( ~ product(e_1,e_3,X1)
| product(X1,e_4,e_3)
| product(e_3,e_5,e_4)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_144,c_0_1081]),
[final] ).
cnf(c_0_1363,negated_conjecture,
( ~ product(e_2,e_5,e_1)
| ~ product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_244,c_0_1280]),
[final] ).
cnf(c_0_1364,negated_conjecture,
( ~ product(e_1,e_3,X1)
| product(X1,e_4,e_3)
| product(e_3,e_2,e_4)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_144,c_0_513]),
[final] ).
cnf(c_0_1365,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_3,e_1,e_4)
| product(e_5,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_1281,c_0_776]),
[final] ).
cnf(c_0_1366,negated_conjecture,
( ~ product(e_1,e_3,X1)
| product(X1,e_4,e_3)
| product(e_3,e_4,e_5)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_144,c_0_567]),
[final] ).
cnf(c_0_1367,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_2,e_3,e_5)
| product(e_5,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_1282,c_0_776]),
[final] ).
cnf(c_0_1368,negated_conjecture,
( ~ product(e_1,e_3,X1)
| product(X1,e_4,e_3)
| product(e_2,e_3,e_5)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_144,c_0_521]),
[final] ).
cnf(c_0_1369,negated_conjecture,
( ~ product(e_1,e_2,e_5)
| product(e_3,e_5,e_1) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1283,c_0_1225]),c_0_628]),c_0_302]),c_0_1284]),
[final] ).
cnf(c_0_1370,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_1,e_4,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1285,c_0_629]),c_0_907]),
[final] ).
cnf(c_0_1371,negated_conjecture,
( product(e_5,e_3,e_2)
| product(e_5,e_3,e_4)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_867,c_0_1286]),
[final] ).
cnf(c_0_1372,negated_conjecture,
( product(e_5,e_3,e_2)
| product(e_5,e_3,e_4)
| product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_867,c_0_1287]),
[final] ).
cnf(c_0_1373,negated_conjecture,
( ~ product(e_1,e_4,e_2)
| product(e_3,e_4,e_5)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_228,c_0_289]),
[final] ).
cnf(c_0_1374,negated_conjecture,
( product(e_5,e_3,e_4)
| product(e_5,e_3,e_2)
| product(e_2,e_3,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1288,c_0_841]),c_0_799]),
[final] ).
cnf(c_0_1376,negated_conjecture,
( ~ product(e_4,e_2,e_3)
| product(e_3,e_5,e_2)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_762,c_0_1289]),
[final] ).
cnf(c_0_1377,negated_conjecture,
( ~ product(e_1,e_3,X1)
| ~ product(e_3,e_5,e_2)
| product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_144,c_0_608]),
[final] ).
cnf(c_0_1378,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_3,e_5,e_2)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1290,c_0_1041]),
[final] ).
cnf(c_0_1379,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_2,e_4,e_1)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1291,c_0_1041]),
[final] ).
cnf(c_0_1380,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_4,e_2,e_1)
| product(e_4,e_3,e_1) ),
inference(sr,[status(thm)],[c_0_715,c_0_628]),
[final] ).
cnf(c_0_1381,negated_conjecture,
( product(e_5,e_3,e_2)
| product(e_5,e_3,e_4)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_867,c_0_968]),
[final] ).
cnf(c_0_1382,negated_conjecture,
( ~ product(e_5,e_3,e_4)
| product(e_5,e_4,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_852]),c_0_171]),
[final] ).
cnf(c_0_1383,negated_conjecture,
( ~ product(e_2,e_4,X1)
| product(X1,e_3,e_4)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_144,c_0_1041]),
[final] ).
cnf(c_0_1384,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_3,e_1,e_4)
| product(e_1,e_3,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1292,c_0_966]),c_0_805]),
[final] ).
cnf(c_0_1385,negated_conjecture,
( ~ product(e_3,e_1,X1)
| ~ product(e_3,e_1,e_4)
| product(X1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_144,c_0_1293]),
[final] ).
cnf(c_0_1386,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_2,e_4,e_1)
| product(e_1,e_3,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1294,c_0_966]),c_0_1160]),
[final] ).
cnf(c_0_1387,negated_conjecture,
( ~ product(e_3,e_1,X1)
| ~ product(e_3,e_5,e_2)
| product(X1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_144,c_0_1052]),
[final] ).
cnf(c_0_1388,negated_conjecture,
( ~ product(e_2,e_5,X1)
| product(X1,e_3,e_5)
| product(e_3,e_1,e_4)
| product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_1020,c_0_524]),
[final] ).
cnf(c_0_1389,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_2,e_3,e_1)
| product(e_1,e_3,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1295,c_0_966]),c_0_1186]),
[final] ).
cnf(c_0_1390,negated_conjecture,
( ~ product(e_3,e_1,X1)
| ~ product(e_2,e_3,e_1)
| product(X1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_144,c_0_1296]),
[final] ).
cnf(c_0_1391,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_2,e_3,e_1)
| product(e_1,e_3,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1297,c_0_966]),c_0_1298]),
[final] ).
cnf(c_0_1392,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_3,e_5,e_2)
| product(e_1,e_3,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1299,c_0_966]),c_0_1300]),
[final] ).
cnf(c_0_1393,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_5,e_1,e_4) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1301,c_0_578]),c_0_1078]),c_0_507]),
[final] ).
cnf(c_0_1394,negated_conjecture,
( ~ product(e_2,e_5,X1)
| product(X1,e_3,e_5)
| product(e_2,e_3,e_1)
| product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_144,c_0_1302]),
[final] ).
cnf(c_0_1395,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_4,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1303,c_0_1304]),c_0_628]),
[final] ).
cnf(c_0_1396,negated_conjecture,
( ~ product(e_3,e_4,X1)
| product(X1,e_1,e_4)
| product(e_3,e_5,e_2)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1305,c_0_1082]),
[final] ).
cnf(c_0_1397,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_3,e_5,e_2)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1306,c_0_440]),
[final] ).
cnf(c_0_1399,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_1,e_5,e_2)
| product(e_2,e_3,e_5) ),
inference(sr,[status(thm)],[c_0_1308,c_0_628]),
[final] ).
cnf(c_0_1400,negated_conjecture,
( product(e_1,e_5,e_2)
| product(e_3,e_4,e_5)
| product(e_2,e_3,e_1) ),
inference(sr,[status(thm)],[c_0_1309,c_0_628]),
[final] ).
cnf(c_0_1402,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_1,e_5,e_2)
| product(e_2,e_3,e_5) ),
inference(sr,[status(thm)],[c_0_1311,c_0_628]),
[final] ).
cnf(c_0_1403,negated_conjecture,
( ~ product(e_5,e_4,e_2)
| product(e_5,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_127,c_0_776]),
[final] ).
cnf(c_0_1404,negated_conjecture,
( ~ product(e_5,e_3,X1)
| product(X1,e_4,e_3)
| product(e_2,e_4,e_1)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_144,c_0_1312]),
[final] ).
cnf(c_0_1405,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1313,c_0_1186]),
[final] ).
cnf(c_0_1406,negated_conjecture,
( ~ product(e_5,e_3,X1)
| product(X1,e_4,e_3)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_144,c_0_1314]),
[final] ).
cnf(c_0_1407,negated_conjecture,
( ~ product(e_5,e_3,X1)
| product(X1,e_4,e_3)
| product(e_2,e_4,e_1)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_144,c_0_1315]),
[final] ).
cnf(c_0_1408,negated_conjecture,
( ~ product(e_5,e_3,X1)
| product(X1,e_4,e_3)
| product(e_3,e_5,e_2)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_144,c_0_602]),
[final] ).
cnf(c_0_1409,negated_conjecture,
( product(e_1,e_5,e_2)
| product(e_4,e_3,e_1)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_198,c_0_1304]),
[final] ).
cnf(c_0_1410,negated_conjecture,
( ~ product(e_3,e_5,e_2)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_166,c_0_608]),
[final] ).
cnf(c_0_1411,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_4,e_3,e_2) ),
inference(sr,[status(thm)],[c_0_414,c_0_628]),
[final] ).
cnf(c_0_1414,plain,
( ~ cycle(X1,X3)
| ~ cycle(X1,X2)
| equalish(X2,X3) ),
c_0_1316,
[final] ).
cnf(c_0_1415,negated_conjecture,
( ~ product(e_2,e_4,X1)
| product(X1,e_3,e_4)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_144,c_0_967]),
[final] ).
cnf(c_0_1417,negated_conjecture,
( ~ product(e_4,e_2,e_1)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_179,c_0_1317]),
[final] ).
cnf(c_0_1418,negated_conjecture,
( ~ product(e_2,e_3,e_1)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_1318,c_0_684]),
[final] ).
cnf(c_0_1419,plain,
( ~ product(e_2,e_4,e_1)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_228,c_0_240]),
[final] ).
cnf(c_0_1420,negated_conjecture,
( ~ product(e_2,e_4,e_1)
| ~ product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_320,c_0_930]),
[final] ).
cnf(c_0_1421,negated_conjecture,
( ~ product(e_2,e_4,e_1)
| ~ product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_179,c_0_1319]),
[final] ).
cnf(c_0_1422,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_1320,c_0_679]),
[final] ).
cnf(c_0_1425,negated_conjecture,
( ~ product(e_3,e_2,e_4)
| ~ product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_251,c_0_1137]),
[final] ).
cnf(c_0_1430,negated_conjecture,
( ~ product(e_1,e_4,e_3)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_228,c_0_1326]),
[final] ).
cnf(c_0_1434,plain,
( ~ next(e_3,X2)
| ~ greater(X1,X3)
| ~ cycle(X2,X3)
| ~ cycle(e_2,X1)
| cycle(e_3,e_2) ),
inference(spm,[status(thm)],[c_0_1328,c_0_1145]),
[final] ).
cnf(c_0_1435,plain,
( ~ next(e_5,X2)
| ~ greater(X1,X3)
| ~ cycle(X2,X3)
| ~ cycle(e_2,X1) ),
inference(spm,[status(thm)],[c_0_1329,c_0_116]),
[final] ).
cnf(c_0_1436,negated_conjecture,
( cycle(e_3,e_2)
| product(e_2,e_3,e_4)
| product(e_2,e_4,e_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1330,c_0_1007]),c_0_86])]),
[final] ).
cnf(c_0_1437,negated_conjecture,
( cycle(e_3,e_2)
| product(e_2,e_3,e_5)
| product(e_2,e_5,e_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1331,c_0_1007]),c_0_86])]),
[final] ).
cnf(c_0_1438,negated_conjecture,
( cycle(e_3,e_2)
| product(e_3,e_4,e_5)
| product(e_2,e_5,e_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1332,c_0_1007]),c_0_86])]),
[final] ).
cnf(c_0_1439,negated_conjecture,
( cycle(e_3,e_2)
| product(e_3,e_5,e_1)
| product(e_2,e_5,e_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1333,c_0_1007]),c_0_86])]),
[final] ).
cnf(c_0_1440,negated_conjecture,
( cycle(e_3,e_2)
| product(e_3,e_2,e_4)
| product(e_2,e_5,e_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1334,c_0_1007]),c_0_86])]),
[final] ).
cnf(c_0_1441,negated_conjecture,
( cycle(e_3,e_2)
| product(e_3,e_5,e_4)
| product(e_2,e_4,e_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1335,c_0_1007]),c_0_86])]),
[final] ).
cnf(c_0_1442,negated_conjecture,
( cycle(e_3,e_2)
| product(e_2,e_4,e_1)
| product(e_2,e_5,e_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1336,c_0_1007]),c_0_86])]),
[final] ).
cnf(c_0_1443,negated_conjecture,
( cycle(e_3,e_2)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1337,c_0_1007]),c_0_86])]),
[final] ).
cnf(c_0_1444,negated_conjecture,
( cycle(e_3,e_2)
| product(e_3,e_4,e_5)
| product(e_2,e_3,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1338,c_0_1007]),c_0_86])]),
[final] ).
cnf(c_0_1445,negated_conjecture,
( cycle(e_3,e_2)
| product(e_3,e_5,e_1)
| product(e_2,e_3,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1339,c_0_1007]),c_0_86])]),
[final] ).
cnf(c_0_1446,negated_conjecture,
( cycle(e_3,e_2)
| product(e_3,e_5,e_1)
| product(e_3,e_5,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1340,c_0_1007]),c_0_86])]),
[final] ).
cnf(c_0_1447,negated_conjecture,
( cycle(e_3,e_2)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1341,c_0_1007]),c_0_86])]),
[final] ).
cnf(c_0_1448,negated_conjecture,
( cycle(e_3,e_2)
| product(e_3,e_5,e_4)
| product(e_3,e_4,e_5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1342,c_0_1007]),c_0_86])]),
[final] ).
cnf(c_0_1449,negated_conjecture,
( cycle(e_3,e_2)
| product(e_3,e_5,e_4)
| product(e_2,e_3,e_5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1343,c_0_1007]),c_0_86])]),
[final] ).
cnf(c_0_1450,negated_conjecture,
( cycle(e_3,e_2)
| product(e_3,e_5,e_4)
| product(e_3,e_2,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1344,c_0_1007]),c_0_86])]),
[final] ).
cnf(c_0_1452,negated_conjecture,
( ~ product(e_5,e_3,X1)
| product(X1,e_4,e_3)
| product(e_2,e_3,e_5)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_144,c_0_598]),
[final] ).
cnf(c_0_1453,negated_conjecture,
( ~ product(e_2,e_3,e_5)
| ~ product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_1347,c_0_1348]),
[final] ).
cnf(c_0_1455,negated_conjecture,
( product(e_4,e_5,e_3)
| product(e_3,e_1,e_4)
| product(e_2,e_4,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_913,c_0_1350]),c_0_915]),
[final] ).
cnf(c_0_1457,negated_conjecture,
( product(e_4,e_5,e_3)
| product(e_2,e_4,e_1)
| product(e_2,e_3,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_913,c_0_1352]),c_0_915]),
[final] ).
cnf(c_0_1458,negated_conjecture,
( product(e_4,e_5,e_3)
| product(e_4,e_5,e_2)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_1353,c_0_1354]),
[final] ).
cnf(c_0_1459,negated_conjecture,
( ~ product(e_2,e_5,e_1)
| product(e_5,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_1221,c_0_776]),
[final] ).
cnf(c_0_1460,negated_conjecture,
( ~ product(e_5,e_4,e_3)
| ~ product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_361,c_0_745]),
[final] ).
cnf(c_0_1463,negated_conjecture,
( ~ product(e_3,e_5,X1)
| product(X1,e_2,e_5)
| product(e_3,e_5,e_4)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_1356,c_0_1357]),
[final] ).
cnf(c_0_1464,plain,
( ~ next(e_2,X1)
| ~ next(X2,e_4)
| ~ cycle(X1,X2)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_1055,c_0_1278]),
[final] ).
cnf(c_0_1466,plain,
( ~ next(e_5,X2)
| ~ greater(X1,X3)
| ~ cycle(X2,X3)
| ~ cycle(e_4,X1) ),
inference(spm,[status(thm)],[c_0_1329,c_0_906]),
[final] ).
cnf(c_0_1468,negated_conjecture,
( ~ product(e_3,e_5,e_4)
| product(e_4,e_5,e_2)
| product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_1361,c_0_1012]),
[final] ).
cnf(c_0_1469,negated_conjecture,
( ~ product(e_4,e_3,e_2)
| product(e_5,e_2,e_3)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_179,c_0_1273]),
[final] ).
cnf(c_0_1470,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_3,e_5,e_4)
| product(e_4,e_5,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1362,c_0_873]),c_0_302]),
[final] ).
cnf(c_0_1471,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_3,e_5,e_4)
| product(e_4,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1094,c_0_974]),
[final] ).
cnf(c_0_1472,negated_conjecture,
( ~ product(e_5,e_3,e_2)
| product(e_3,e_2,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_1172]),c_0_1363]),
[final] ).
cnf(c_0_1473,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_3,e_2,e_4)
| product(e_4,e_5,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1364,c_0_873]),c_0_302]),
[final] ).
cnf(c_0_1474,negated_conjecture,
( ~ product(e_5,e_2,e_1)
| product(e_3,e_1,e_4)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_251,c_0_1365]),
[final] ).
cnf(c_0_1475,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_3,e_4,e_5)
| product(e_4,e_5,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1366,c_0_873]),c_0_302]),
[final] ).
cnf(c_0_1476,negated_conjecture,
( ~ product(e_5,e_2,e_1)
| product(e_2,e_3,e_5)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_251,c_0_1367]),
[final] ).
cnf(c_0_1477,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_2,e_3,e_5)
| product(e_4,e_5,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1368,c_0_873]),c_0_302]),
[final] ).
cnf(c_0_1478,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_2,e_3,e_5) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_270,c_0_588]),c_0_1321]),c_0_1322]),
[final] ).
cnf(c_0_1479,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_1369,c_0_679]),
[final] ).
cnf(c_0_1488,negated_conjecture,
( ~ product(e_1,e_3,X1)
| product(X1,e_4,e_3)
| product(e_2,e_5,e_1)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_144,c_0_1075]),
[final] ).
cnf(c_0_1489,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_3,e_5,e_2)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1376,c_0_1041]),
[final] ).
cnf(c_0_1490,negated_conjecture,
( ~ product(e_1,e_3,X1)
| product(X1,e_4,e_3)
| product(e_2,e_5,e_1)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_144,c_0_1076]),
[final] ).
cnf(c_0_1491,negated_conjecture,
( ~ product(e_1,e_3,X1)
| product(X1,e_4,e_3)
| product(e_2,e_5,e_1)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_1377,c_0_1378]),
[final] ).
cnf(c_0_1492,negated_conjecture,
( ~ product(e_1,e_3,X1)
| product(X1,e_4,e_3)
| product(e_2,e_5,e_1)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_1377,c_0_1379]),
[final] ).
cnf(c_0_1493,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_2,e_5,e_1)
| product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_1214,c_0_1371]),
[final] ).
cnf(c_0_1494,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_4,e_2,e_1)
| product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_892,c_0_1372]),
[final] ).
cnf(c_0_1495,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_4,e_2,e_1)
| product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_1214,c_0_1372]),
[final] ).
cnf(c_0_1496,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_4,e_2,e_1)
| product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_1274,c_0_1372]),
[final] ).
cnf(c_0_1497,negated_conjecture,
( ~ product(e_4,e_3,e_2)
| product(e_4,e_2,e_1)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_378,c_0_1380]),
[final] ).
cnf(c_0_1498,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_3,e_5,e_4)
| product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_1214,c_0_1381]),
[final] ).
cnf(c_0_1499,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_2,e_3,e_4)
| product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_1214,c_0_1374]),
[final] ).
cnf(c_0_1500,negated_conjecture,
( ~ product(e_4,e_5,X1)
| ~ product(e_5,e_3,e_4)
| product(X1,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_144,c_0_1382]),
[final] ).
cnf(c_0_1501,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_5,e_3,e_4)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_1383,c_0_516]),
[final] ).
cnf(c_0_1502,negated_conjecture,
( ~ product(e_3,e_1,X1)
| product(X1,e_5,e_1)
| product(e_2,e_3,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_1384]),c_0_1385]),
[final] ).
cnf(c_0_1504,negated_conjecture,
( ~ product(e_3,e_1,X1)
| product(X1,e_5,e_1)
| product(e_2,e_4,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_1386]),c_0_1387]),
[final] ).
cnf(c_0_1506,negated_conjecture,
( ~ product(e_3,e_1,e_4)
| ~ product(e_1,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_251,c_0_1293]),
[final] ).
cnf(c_0_1507,negated_conjecture,
( ~ product(e_3,e_1,X1)
| product(X1,e_5,e_1)
| product(e_3,e_2,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_1389]),c_0_1390]),
[final] ).
cnf(c_0_1508,negated_conjecture,
( ~ product(e_3,e_1,X1)
| product(X1,e_5,e_1)
| product(e_3,e_5,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_1391]),c_0_1390]),
[final] ).
cnf(c_0_1509,negated_conjecture,
( ~ product(e_3,e_1,X1)
| product(X1,e_5,e_1)
| product(e_3,e_4,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_1392]),c_0_1387]),
[final] ).
cnf(c_0_1510,negated_conjecture,
( product(e_1,e_5,e_2)
| product(e_4,e_3,e_1)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_198,c_0_1393]),
[final] ).
cnf(c_0_1511,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_1,e_3,e_5) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1394,c_0_966]),c_0_1395]),c_0_1296]),
[final] ).
cnf(c_0_1512,negated_conjecture,
( ~ product(e_3,e_5,X1)
| ~ product(e_3,e_2,e_4)
| product(X1,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_144,c_0_1174]),
[final] ).
cnf(c_0_1513,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_2,e_3,e_1)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_1088,c_0_1211]),
[final] ).
cnf(c_0_1515,plain,
( ~ next(e_5,X2)
| ~ greater(X1,X3)
| ~ cycle(X2,X3)
| ~ cycle(e_3,X1) ),
inference(spm,[status(thm)],[c_0_1329,c_0_129]),
[final] ).
cnf(c_0_1516,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_5,e_1,e_4) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1396,c_0_578]),c_0_1397]),c_0_507]),
[final] ).
cnf(c_0_1517,plain,
( product(e_3,e_5,e_1)
| product(e_3,e_5,e_2)
| product(e_3,e_5,e_4) ),
inference(sr,[status(thm)],[c_0_510,c_0_582]),
[final] ).
cnf(c_0_1518,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_3,e_5,e_4)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_433,c_0_615]),
[final] ).
cnf(c_0_1519,negated_conjecture,
( product(e_5,e_4,e_2)
| product(e_3,e_4,e_5)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_1398,c_0_1231]),
[final] ).
cnf(c_0_1520,negated_conjecture,
( ~ product(e_1,e_4,e_2)
| product(e_2,e_3,e_5)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_228,c_0_1399]),
[final] ).
cnf(c_0_1521,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_3,e_5,e_4)
| product(e_3,e_4,e_5) ),
inference(sr,[status(thm)],[c_0_668,c_0_628]),
[final] ).
cnf(c_0_1522,negated_conjecture,
( ~ product(e_1,e_4,e_2)
| product(e_2,e_3,e_1)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_228,c_0_1400]),
[final] ).
cnf(c_0_1523,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_1)
| product(e_3,e_5,e_4) ),
inference(sr,[status(thm)],[c_0_1401,c_0_622]),
[final] ).
cnf(c_0_1524,negated_conjecture,
( ~ product(e_1,e_4,e_2)
| product(e_2,e_3,e_5)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_228,c_0_1402]),
[final] ).
cnf(c_0_1525,negated_conjecture,
( ~ product(e_5,e_2,e_3)
| product(e_5,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_1403,c_0_870]),
[final] ).
cnf(c_0_1526,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_4,e_1)
| product(e_1,e_4,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1404,c_0_798]),c_0_1405]),
[final] ).
cnf(c_0_1527,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_3,e_2,e_4)
| product(e_1,e_4,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1406,c_0_798]),c_0_1186]),
[final] ).
cnf(c_0_1528,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_2,e_4,e_1)
| product(e_1,e_4,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1407,c_0_798]),c_0_1160]),
[final] ).
cnf(c_0_1529,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_3,e_5,e_2)
| product(e_1,e_4,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1408,c_0_798]),c_0_1397]),
[final] ).
cnf(c_0_1531,negated_conjecture,
( ~ product(e_4,e_2,e_3)
| product(e_3,e_1,e_4)
| product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_218,c_0_524]),
[final] ).
cnf(c_0_1532,negated_conjecture,
( ~ product(e_1,e_4,e_2)
| product(e_2,e_3,e_1)
| product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_228,c_0_1409]),
[final] ).
cnf(c_0_1533,negated_conjecture,
( product(e_5,e_3,e_1)
| product(e_4,e_5,e_2)
| product(e_3,e_1,e_4) ),
inference(sr,[status(thm)],[c_0_714,c_0_682]),
[final] ).
cnf(c_0_1535,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_3,e_5,e_2)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_683,c_0_1041]),
[final] ).
cnf(c_0_1536,negated_conjecture,
( ~ product(e_5,e_4,e_3)
| product(e_5,e_1,e_2)
| product(e_3,e_4,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1373,c_0_745]),c_0_135]),
[final] ).
cnf(c_0_1537,negated_conjecture,
( ~ product(e_3,e_4,X1)
| product(X1,e_2,e_4)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_144,c_0_1411]),
[final] ).
cnf(c_0_1538,plain,
~ equalish(e_5,e_2),
c_0_1412,
[final] ).
cnf(c_0_1539,plain,
~ equalish(e_5,e_1),
c_0_1413,
[final] ).
cnf(c_0_1540,negated_conjecture,
( ~ product(e_3,e_1,e_2)
| product(e_5,e_4,e_2)
| product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_159,c_0_1064]),
[final] ).
cnf(c_0_1542,negated_conjecture,
( ~ product(e_1,e_4,e_2)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_228,c_0_696]),
[final] ).
cnf(c_0_1543,plain,
( ~ cycle(X1,e_1)
| ~ cycle(X1,e_5) ),
inference(spm,[status(thm)],[c_0_119,c_0_1414]),
[final] ).
cnf(c_0_1544,plain,
( ~ cycle(X1,e_2)
| ~ cycle(X1,e_5) ),
inference(spm,[status(thm)],[c_0_165,c_0_1414]),
[final] ).
cnf(c_0_1545,plain,
( ~ cycle(X1,e_3)
| ~ cycle(X1,e_5) ),
inference(spm,[status(thm)],[c_0_149,c_0_1414]),
[final] ).
cnf(c_0_1546,plain,
( ~ cycle(X1,e_4)
| ~ cycle(X1,e_5) ),
inference(spm,[status(thm)],[c_0_136,c_0_1414]),
[final] ).
cnf(c_0_1547,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_2,e_5,e_1)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_850,c_0_615]),
[final] ).
cnf(c_0_1548,negated_conjecture,
( ~ product(e_3,e_5,e_1)
| product(e_4,e_5,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1361,c_0_1003]),c_0_1187]),
[final] ).
cnf(c_0_1552,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_1,e_3,e_4)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_1415,c_0_1405]),
[final] ).
cnf(c_0_1553,negated_conjecture,
( ~ product(e_2,e_4,X1)
| product(X1,e_1,e_4)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_144,c_0_684]),
[final] ).
cnf(c_0_1554,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_723,c_0_1411]),
[final] ).
cnf(c_0_1555,negated_conjecture,
( ~ product(e_2,e_1,X1)
| product(X1,e_4,e_1)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_144,c_0_1211]),
[final] ).
cnf(c_0_1556,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_5,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_956,c_0_1416]),c_0_302]),
[final] ).
cnf(c_0_1557,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_1417,c_0_684]),
[final] ).
cnf(c_0_1558,negated_conjecture,
( ~ product(e_1,e_2,e_5)
| product(e_4,e_2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1096,c_0_1225]),c_0_1418]),
[final] ).
cnf(c_0_1560,negated_conjecture,
( product(e_4,e_3,e_2)
| product(e_4,e_3,e_1) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_1031,c_0_628]),c_0_953]),
[final] ).
cnf(c_0_1562,negated_conjecture,
( ~ product(e_4,e_2,e_1)
| ~ product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_1421,c_0_953]),
[final] ).
cnf(c_0_1563,negated_conjecture,
( ~ product(e_2,e_1,X1)
| product(X1,e_4,e_1)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_144,c_0_1422]),
[final] ).
cnf(c_0_1566,negated_conjecture,
( ~ product(e_3,e_2,e_4)
| product(e_4,e_5,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1361,c_0_825]),c_0_1425]),
[final] ).
cnf(c_0_1567,negated_conjecture,
( ~ product(e_4,e_1,X1)
| ~ product(e_4,e_5,e_2)
| product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_144,c_0_800]),
[final] ).
cnf(c_0_1568,plain,
( ~ product(e_5,e_3,e_2)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_208,c_0_926]),
[final] ).
cnf(c_0_1574,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_5,e_3,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_1428]),c_0_76])]),
[final] ).
cnf(c_0_1576,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_1,e_4,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1430,c_0_444]),c_0_486]),
[final] ).
cnf(c_0_1580,plain,
( ~ next(X1,e_2)
| ~ greater(X2,e_0)
| ~ cycle(X1,X2)
| ~ product(X1,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_790,c_0_70]),
[final] ).
cnf(c_0_1584,plain,
( ~ next(e_3,X1)
| ~ greater(e_1,X2)
| ~ cycle(X1,X2)
| cycle(e_3,e_2)
| cycle(e_2,e_4)
| cycle(e_2,e_3)
| cycle(e_2,e_2)
| cycle(e_2,e_0) ),
inference(spm,[status(thm)],[c_0_1434,c_0_84]),
[final] ).
cnf(c_0_1585,negated_conjecture,
( ~ next(e_5,X1)
| ~ greater(e_3,X2)
| ~ cycle(X1,X2)
| product(e_2,e_3,e_4)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_1435,c_0_1196]),
[final] ).
cnf(c_0_1586,axiom,
greater(e_3,e_1),
e_3_greater_e_1,
[final] ).
cnf(c_0_1587,negated_conjecture,
( ~ next(e_5,X1)
| ~ greater(e_3,X2)
| ~ cycle(X1,X2)
| product(e_2,e_3,e_5)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1435,c_0_1197]),
[final] ).
cnf(c_0_1588,negated_conjecture,
( ~ next(e_5,X1)
| ~ greater(e_3,X2)
| ~ cycle(X1,X2)
| product(e_3,e_4,e_5)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1435,c_0_1198]),
[final] ).
cnf(c_0_1589,negated_conjecture,
( ~ next(e_5,X1)
| ~ greater(e_3,X2)
| ~ cycle(X1,X2)
| product(e_3,e_5,e_1)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1435,c_0_1199]),
[final] ).
cnf(c_0_1590,negated_conjecture,
( ~ next(e_5,X1)
| ~ greater(e_3,X2)
| ~ cycle(X1,X2)
| product(e_3,e_2,e_4)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1435,c_0_1200]),
[final] ).
cnf(c_0_1591,negated_conjecture,
( ~ next(e_5,X1)
| ~ greater(e_3,X2)
| ~ cycle(X1,X2)
| product(e_3,e_5,e_4)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_1435,c_0_1201]),
[final] ).
cnf(c_0_1592,negated_conjecture,
( ~ next(e_5,X1)
| ~ greater(e_3,X2)
| ~ cycle(X1,X2)
| product(e_2,e_4,e_1)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1435,c_0_1202]),
[final] ).
cnf(c_0_1593,negated_conjecture,
( ~ next(e_5,X1)
| ~ greater(e_3,X2)
| ~ cycle(X1,X2)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1435,c_0_1203]),
[final] ).
cnf(c_0_1594,negated_conjecture,
( ~ next(e_5,X1)
| ~ greater(e_3,X2)
| ~ cycle(X1,X2)
| product(e_3,e_4,e_5)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1435,c_0_1204]),
[final] ).
cnf(c_0_1595,negated_conjecture,
( ~ next(e_5,X1)
| ~ greater(e_3,X2)
| ~ cycle(X1,X2)
| product(e_3,e_5,e_1)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1435,c_0_1205]),
[final] ).
cnf(c_0_1596,negated_conjecture,
( ~ next(e_5,X1)
| ~ greater(e_3,X2)
| ~ cycle(X1,X2)
| product(e_3,e_5,e_1)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_1435,c_0_1206]),
[final] ).
cnf(c_0_1597,negated_conjecture,
( ~ next(e_5,X1)
| ~ greater(e_3,X2)
| ~ cycle(X1,X2)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_1435,c_0_1207]),
[final] ).
cnf(c_0_1598,negated_conjecture,
( ~ next(e_5,X1)
| ~ greater(e_3,X2)
| ~ cycle(X1,X2)
| product(e_3,e_5,e_4)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_1435,c_0_1208]),
[final] ).
cnf(c_0_1599,negated_conjecture,
( ~ next(e_5,X1)
| ~ greater(e_3,X2)
| ~ cycle(X1,X2)
| product(e_3,e_5,e_4)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_1435,c_0_1209]),
[final] ).
cnf(c_0_1600,negated_conjecture,
( ~ next(e_5,X1)
| ~ greater(e_3,X2)
| ~ cycle(X1,X2)
| product(e_3,e_5,e_4)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_1435,c_0_1210]),
[final] ).
cnf(c_0_1601,negated_conjecture,
( ~ next(e_3,X1)
| ~ next(X2,e_1)
| ~ cycle(X1,X2)
| product(e_2,e_4,e_1)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_941,c_0_1436]),
[final] ).
cnf(c_0_1602,negated_conjecture,
( ~ next(e_3,X1)
| ~ next(X2,e_5)
| ~ cycle(X1,X2)
| product(e_2,e_4,e_1)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_881,c_0_1436]),
[final] ).
cnf(c_0_1603,negated_conjecture,
( ~ next(e_3,X1)
| ~ next(X2,e_4)
| ~ cycle(X1,X2)
| product(e_2,e_4,e_1)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1054,c_0_1436]),
[final] ).
cnf(c_0_1604,negated_conjecture,
( ~ next(e_3,X1)
| ~ next(X2,e_3)
| ~ cycle(X1,X2)
| product(e_2,e_4,e_1)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_981,c_0_1436]),
[final] ).
cnf(c_0_1605,negated_conjecture,
( ~ next(e_3,X1)
| ~ next(X2,e_1)
| ~ cycle(X1,X2)
| product(e_2,e_5,e_1)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_941,c_0_1437]),
[final] ).
cnf(c_0_1606,negated_conjecture,
( ~ next(e_3,X1)
| ~ next(X2,e_5)
| ~ cycle(X1,X2)
| product(e_2,e_5,e_1)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_881,c_0_1437]),
[final] ).
cnf(c_0_1607,negated_conjecture,
( ~ next(e_3,X1)
| ~ next(X2,e_4)
| ~ cycle(X1,X2)
| product(e_2,e_5,e_1)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_1054,c_0_1437]),
[final] ).
cnf(c_0_1608,negated_conjecture,
( ~ next(e_3,X1)
| ~ next(X2,e_3)
| ~ cycle(X1,X2)
| product(e_2,e_5,e_1)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_981,c_0_1437]),
[final] ).
cnf(c_0_1609,negated_conjecture,
( ~ next(e_3,X1)
| ~ next(X2,e_1)
| ~ cycle(X1,X2)
| product(e_2,e_5,e_1)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_941,c_0_1438]),
[final] ).
cnf(c_0_1610,negated_conjecture,
( ~ next(e_3,X1)
| ~ next(X2,e_5)
| ~ cycle(X1,X2)
| product(e_2,e_5,e_1)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_881,c_0_1438]),
[final] ).
cnf(c_0_1611,negated_conjecture,
( ~ next(e_3,X1)
| ~ next(X2,e_4)
| ~ cycle(X1,X2)
| product(e_2,e_5,e_1)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_1054,c_0_1438]),
[final] ).
cnf(c_0_1612,negated_conjecture,
( ~ next(e_3,X1)
| ~ next(X2,e_3)
| ~ cycle(X1,X2)
| product(e_2,e_5,e_1)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_981,c_0_1438]),
[final] ).
cnf(c_0_1613,negated_conjecture,
( ~ next(e_3,X1)
| ~ next(X2,e_1)
| ~ cycle(X1,X2)
| product(e_2,e_5,e_1)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_941,c_0_1439]),
[final] ).
cnf(c_0_1614,negated_conjecture,
( ~ next(e_3,X1)
| ~ next(X2,e_5)
| ~ cycle(X1,X2)
| product(e_2,e_5,e_1)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_881,c_0_1439]),
[final] ).
cnf(c_0_1615,negated_conjecture,
( ~ next(e_3,X1)
| ~ next(X2,e_4)
| ~ cycle(X1,X2)
| product(e_2,e_5,e_1)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1054,c_0_1439]),
[final] ).
cnf(c_0_1616,negated_conjecture,
( ~ next(e_3,X1)
| ~ next(X2,e_3)
| ~ cycle(X1,X2)
| product(e_2,e_5,e_1)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_981,c_0_1439]),
[final] ).
cnf(c_0_1617,negated_conjecture,
( ~ next(e_3,X1)
| ~ next(X2,e_1)
| ~ cycle(X1,X2)
| product(e_2,e_5,e_1)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_941,c_0_1440]),
[final] ).
cnf(c_0_1618,negated_conjecture,
( ~ next(e_3,X1)
| ~ next(X2,e_5)
| ~ cycle(X1,X2)
| product(e_2,e_5,e_1)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_881,c_0_1440]),
[final] ).
cnf(c_0_1619,negated_conjecture,
( ~ next(e_3,X1)
| ~ next(X2,e_4)
| ~ cycle(X1,X2)
| product(e_2,e_5,e_1)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_1054,c_0_1440]),
[final] ).
cnf(c_0_1620,negated_conjecture,
( ~ next(e_3,X1)
| ~ next(X2,e_3)
| ~ cycle(X1,X2)
| product(e_2,e_5,e_1)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_981,c_0_1440]),
[final] ).
cnf(c_0_1621,negated_conjecture,
( ~ next(e_3,X1)
| ~ next(X2,e_1)
| ~ cycle(X1,X2)
| product(e_2,e_4,e_1)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_941,c_0_1441]),
[final] ).
cnf(c_0_1622,negated_conjecture,
( ~ next(e_3,X1)
| ~ next(X2,e_5)
| ~ cycle(X1,X2)
| product(e_2,e_4,e_1)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_881,c_0_1441]),
[final] ).
cnf(c_0_1623,negated_conjecture,
( ~ next(e_3,X1)
| ~ next(X2,e_4)
| ~ cycle(X1,X2)
| product(e_2,e_4,e_1)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_1054,c_0_1441]),
[final] ).
cnf(c_0_1624,negated_conjecture,
( ~ next(e_3,X1)
| ~ next(X2,e_3)
| ~ cycle(X1,X2)
| product(e_2,e_4,e_1)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_981,c_0_1441]),
[final] ).
cnf(c_0_1625,negated_conjecture,
( ~ next(e_3,X1)
| ~ next(X2,e_1)
| ~ cycle(X1,X2)
| product(e_2,e_5,e_1)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_941,c_0_1442]),
[final] ).
cnf(c_0_1626,negated_conjecture,
( ~ next(e_3,X1)
| ~ next(X2,e_5)
| ~ cycle(X1,X2)
| product(e_2,e_5,e_1)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_881,c_0_1442]),
[final] ).
cnf(c_0_1627,negated_conjecture,
( ~ next(e_3,X1)
| ~ next(X2,e_4)
| ~ cycle(X1,X2)
| product(e_2,e_5,e_1)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_1054,c_0_1442]),
[final] ).
cnf(c_0_1628,negated_conjecture,
( ~ next(e_3,X1)
| ~ next(X2,e_3)
| ~ cycle(X1,X2)
| product(e_2,e_5,e_1)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_981,c_0_1442]),
[final] ).
cnf(c_0_1629,negated_conjecture,
( ~ next(e_3,X1)
| ~ next(X2,e_1)
| ~ cycle(X1,X2)
| product(e_2,e_3,e_4)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_941,c_0_1443]),
[final] ).
cnf(c_0_1630,negated_conjecture,
( ~ next(e_3,X1)
| ~ next(X2,e_5)
| ~ cycle(X1,X2)
| product(e_2,e_3,e_4)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_881,c_0_1443]),
[final] ).
cnf(c_0_1631,negated_conjecture,
( ~ next(e_3,X1)
| ~ next(X2,e_4)
| ~ cycle(X1,X2)
| product(e_2,e_3,e_4)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_1054,c_0_1443]),
[final] ).
cnf(c_0_1632,negated_conjecture,
( ~ next(e_3,X1)
| ~ next(X2,e_3)
| ~ cycle(X1,X2)
| product(e_2,e_3,e_4)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_981,c_0_1443]),
[final] ).
cnf(c_0_1633,negated_conjecture,
( ~ next(e_3,X1)
| ~ next(X2,e_1)
| ~ cycle(X1,X2)
| product(e_2,e_3,e_4)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_941,c_0_1444]),
[final] ).
cnf(c_0_1634,negated_conjecture,
( ~ next(e_3,X1)
| ~ next(X2,e_5)
| ~ cycle(X1,X2)
| product(e_2,e_3,e_4)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_881,c_0_1444]),
[final] ).
cnf(c_0_1635,negated_conjecture,
( ~ next(e_3,X1)
| ~ next(X2,e_4)
| ~ cycle(X1,X2)
| product(e_2,e_3,e_4)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_1054,c_0_1444]),
[final] ).
cnf(c_0_1636,negated_conjecture,
( ~ next(e_3,X1)
| ~ next(X2,e_3)
| ~ cycle(X1,X2)
| product(e_2,e_3,e_4)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_981,c_0_1444]),
[final] ).
cnf(c_0_1637,negated_conjecture,
( ~ next(e_3,X1)
| ~ next(X2,e_1)
| ~ cycle(X1,X2)
| product(e_2,e_3,e_4)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_941,c_0_1445]),
[final] ).
cnf(c_0_1638,negated_conjecture,
( ~ next(e_3,X1)
| ~ next(X2,e_5)
| ~ cycle(X1,X2)
| product(e_2,e_3,e_4)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_881,c_0_1445]),
[final] ).
cnf(c_0_1639,negated_conjecture,
( ~ next(e_3,X1)
| ~ next(X2,e_4)
| ~ cycle(X1,X2)
| product(e_2,e_3,e_4)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1054,c_0_1445]),
[final] ).
cnf(c_0_1640,negated_conjecture,
( ~ next(e_3,X1)
| ~ next(X2,e_3)
| ~ cycle(X1,X2)
| product(e_2,e_3,e_4)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_981,c_0_1445]),
[final] ).
cnf(c_0_1641,negated_conjecture,
( ~ next(e_3,X1)
| ~ next(X2,e_1)
| ~ cycle(X1,X2)
| product(e_3,e_5,e_4)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_941,c_0_1446]),
[final] ).
cnf(c_0_1642,negated_conjecture,
( ~ next(e_3,X1)
| ~ next(X2,e_5)
| ~ cycle(X1,X2)
| product(e_3,e_5,e_4)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_881,c_0_1446]),
[final] ).
cnf(c_0_1643,negated_conjecture,
( ~ next(e_3,X1)
| ~ next(X2,e_4)
| ~ cycle(X1,X2)
| product(e_3,e_5,e_4)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1054,c_0_1446]),
[final] ).
cnf(c_0_1644,negated_conjecture,
( ~ next(e_3,X1)
| ~ next(X2,e_3)
| ~ cycle(X1,X2)
| product(e_3,e_5,e_4)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_981,c_0_1446]),
[final] ).
cnf(c_0_1645,negated_conjecture,
( ~ next(e_3,X1)
| ~ next(X2,e_1)
| ~ cycle(X1,X2)
| product(e_2,e_3,e_5)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_941,c_0_1447]),
[final] ).
cnf(c_0_1646,negated_conjecture,
( ~ next(e_3,X1)
| ~ next(X2,e_5)
| ~ cycle(X1,X2)
| product(e_2,e_3,e_5)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_881,c_0_1447]),
[final] ).
cnf(c_0_1647,negated_conjecture,
( ~ next(e_3,X1)
| ~ next(X2,e_4)
| ~ cycle(X1,X2)
| product(e_2,e_3,e_5)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1054,c_0_1447]),
[final] ).
cnf(c_0_1648,negated_conjecture,
( ~ next(e_3,X1)
| ~ next(X2,e_3)
| ~ cycle(X1,X2)
| product(e_2,e_3,e_5)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_981,c_0_1447]),
[final] ).
cnf(c_0_1649,negated_conjecture,
( ~ next(e_3,X1)
| ~ next(X2,e_1)
| ~ cycle(X1,X2)
| product(e_3,e_4,e_5)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_941,c_0_1448]),
[final] ).
cnf(c_0_1650,negated_conjecture,
( ~ next(e_3,X1)
| ~ next(X2,e_5)
| ~ cycle(X1,X2)
| product(e_3,e_4,e_5)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_881,c_0_1448]),
[final] ).
cnf(c_0_1651,negated_conjecture,
( ~ next(e_3,X1)
| ~ next(X2,e_4)
| ~ cycle(X1,X2)
| product(e_3,e_4,e_5)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_1054,c_0_1448]),
[final] ).
cnf(c_0_1652,negated_conjecture,
( ~ next(e_3,X1)
| ~ next(X2,e_3)
| ~ cycle(X1,X2)
| product(e_3,e_4,e_5)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_981,c_0_1448]),
[final] ).
cnf(c_0_1653,negated_conjecture,
( ~ next(e_3,X1)
| ~ next(X2,e_1)
| ~ cycle(X1,X2)
| product(e_2,e_3,e_5)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_941,c_0_1449]),
[final] ).
cnf(c_0_1654,negated_conjecture,
( ~ next(e_3,X1)
| ~ next(X2,e_5)
| ~ cycle(X1,X2)
| product(e_2,e_3,e_5)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_881,c_0_1449]),
[final] ).
cnf(c_0_1655,negated_conjecture,
( ~ next(e_3,X1)
| ~ next(X2,e_4)
| ~ cycle(X1,X2)
| product(e_2,e_3,e_5)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_1054,c_0_1449]),
[final] ).
cnf(c_0_1656,negated_conjecture,
( ~ next(e_3,X1)
| ~ next(X2,e_3)
| ~ cycle(X1,X2)
| product(e_2,e_3,e_5)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_981,c_0_1449]),
[final] ).
cnf(c_0_1657,negated_conjecture,
( ~ next(e_3,X1)
| ~ next(X2,e_1)
| ~ cycle(X1,X2)
| product(e_3,e_2,e_4)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_941,c_0_1450]),
[final] ).
cnf(c_0_1658,negated_conjecture,
( ~ next(e_3,X1)
| ~ next(X2,e_5)
| ~ cycle(X1,X2)
| product(e_3,e_2,e_4)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_881,c_0_1450]),
[final] ).
cnf(c_0_1659,negated_conjecture,
( ~ next(e_3,X1)
| ~ next(X2,e_4)
| ~ cycle(X1,X2)
| product(e_3,e_2,e_4)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_1054,c_0_1450]),
[final] ).
cnf(c_0_1660,negated_conjecture,
( ~ next(e_3,X1)
| ~ next(X2,e_3)
| ~ cycle(X1,X2)
| product(e_3,e_2,e_4)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_981,c_0_1450]),
[final] ).
cnf(c_0_1661,negated_conjecture,
( product(e_4,e_5,e_3)
| product(e_5,e_3,e_2)
| product(e_5,e_1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_1451]),c_0_647])]),
[final] ).
cnf(c_0_1662,negated_conjecture,
( ~ product(e_4,e_5,e_3)
| product(e_1,e_4,e_3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1452,c_0_705]),c_0_1453]),c_0_601]),
[final] ).
cnf(c_0_1665,negated_conjecture,
( product(e_5,e_4,e_2)
| product(e_2,e_3,e_1)
| product(e_4,e_5,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1022,c_0_1458]),c_0_622]),
[final] ).
cnf(c_0_1666,negated_conjecture,
( product(e_5,e_3,e_2)
| product(e_4,e_5,e_3)
| product(e_3,e_5,e_2) ),
inference(sr,[status(thm)],[c_0_911,c_0_1217]),
[final] ).
cnf(c_0_1667,negated_conjecture,
( product(e_5,e_3,e_2)
| product(e_4,e_5,e_3)
| product(e_3,e_1,e_4) ),
inference(sr,[status(thm)],[c_0_1349,c_0_1217]),
[final] ).
cnf(c_0_1668,negated_conjecture,
( product(e_5,e_3,e_2)
| product(e_4,e_5,e_3)
| product(e_2,e_3,e_1) ),
inference(sr,[status(thm)],[c_0_1351,c_0_1217]),
[final] ).
cnf(c_0_1669,negated_conjecture,
( ~ product(e_2,e_3,e_4)
| ~ product(e_5,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_251,c_0_798]),
[final] ).
cnf(c_0_1670,negated_conjecture,
( ~ product(e_2,e_5,e_1)
| ~ product(e_5,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_251,c_0_1459]),
[final] ).
cnf(c_0_1671,negated_conjecture,
( ~ product(e_4,e_2,e_1)
| product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_179,c_0_1275]),
[final] ).
cnf(c_0_1672,negated_conjecture,
( ~ product(e_4,e_5,e_3)
| product(e_5,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_1460,c_0_759]),
[final] ).
cnf(c_0_1673,plain,
( product(e_5,e_3,e_2)
| product(e_5,e_2,e_3)
| product(e_5,e_1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_1461]),c_0_647])]),
[final] ).
cnf(c_0_1674,negated_conjecture,
( product(e_5,e_4,e_2)
| product(e_3,e_5,e_2)
| product(e_4,e_5,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1022,c_0_1021]),c_0_622]),
[final] ).
cnf(c_0_1676,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_3,e_5,e_4)
| product(e_1,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_1463,c_0_1357]),
[final] ).
cnf(c_0_1677,plain,
( cycle(e_3,e_2)
| product(e_3,e_1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1464,c_0_1465]),c_0_103]),c_0_86])]),
[final] ).
cnf(c_0_1678,plain,
( ~ next(e_5,X1)
| ~ greater(e_1,X2)
| ~ cycle(X1,X2)
| cycle(e_2,e_4)
| cycle(e_2,e_3)
| cycle(e_2,e_2)
| cycle(e_2,e_0) ),
inference(spm,[status(thm)],[c_0_1435,c_0_84]),
[final] ).
cnf(c_0_1679,plain,
( ~ next(e_5,X1)
| ~ greater(e_1,X2)
| ~ cycle(X1,X2)
| cycle(e_4,e_4)
| cycle(e_4,e_3)
| cycle(e_4,e_2)
| cycle(e_4,e_0) ),
inference(spm,[status(thm)],[c_0_1466,c_0_858]),
[final] ).
cnf(c_0_1680,plain,
( ~ next(e_4,X1)
| ~ next(X2,e_3)
| ~ cycle(X1,X2)
| cycle(e_4,e_3)
| cycle(e_4,e_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_980,c_0_858]),c_0_981]),c_0_982]),
[final] ).
cnf(c_0_1681,plain,
( ~ next(e_4,X1)
| ~ next(X2,e_4)
| ~ cycle(X1,X2)
| cycle(e_4,e_4)
| cycle(e_4,e_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1053,c_0_858]),c_0_1054]),c_0_1055]),
[final] ).
cnf(c_0_1682,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_5,e_2)
| product(e_4,e_5,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1467,c_0_974]),c_0_1468]),
[final] ).
cnf(c_0_1683,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_5,e_2,e_3)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1469,c_0_1411]),
[final] ).
cnf(c_0_1685,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_5,e_2,e_3)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_1094,c_0_1273]),
[final] ).
cnf(c_0_1687,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_5,e_2,e_3)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_1472,c_0_1273]),
[final] ).
cnf(c_0_1689,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_3,e_1,e_4)
| product(e_5,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_1474,c_0_908]),
[final] ).
cnf(c_0_1691,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_2,e_3,e_5)
| product(e_5,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_1476,c_0_908]),
[final] ).
cnf(c_0_1693,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_5,e_2,e_3)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_897,c_0_1089]),
[final] ).
cnf(c_0_1694,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_5,e_2,e_3)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_897,c_0_1211]),
[final] ).
cnf(c_0_1695,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_5,e_2,e_3)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_1183,c_0_1478]),
[final] ).
cnf(c_0_1696,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_5,e_2,e_3)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_897,c_0_1479]),
[final] ).
cnf(c_0_1697,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_5,e_2,e_3)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_897,c_0_1478]),
[final] ).
cnf(c_0_1698,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_5,e_2,e_3)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_1183,c_0_1089]),
[final] ).
cnf(c_0_1699,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_5,e_2,e_3)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1183,c_0_1479]),
[final] ).
cnf(c_0_1700,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_5,e_2,e_3)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_1183,c_0_1211]),
[final] ).
cnf(c_0_1701,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_5,e_1,e_2)
| product(e_4,e_3,e_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_1480]),c_0_647])]),
[final] ).
cnf(c_0_1702,negated_conjecture,
( product(e_5,e_3,e_2)
| product(e_2,e_5,e_1)
| product(e_5,e_1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_1481]),c_0_647])]),
[final] ).
cnf(c_0_1703,negated_conjecture,
( product(e_5,e_3,e_2)
| product(e_4,e_2,e_1)
| product(e_5,e_1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_1482]),c_0_647])]),
[final] ).
cnf(c_0_1705,negated_conjecture,
( product(e_5,e_3,e_1)
| product(e_5,e_1,e_2)
| product(e_4,e_3,e_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_1483]),c_0_647])]),
[final] ).
cnf(c_0_1706,negated_conjecture,
( product(e_5,e_3,e_1)
| product(e_3,e_4,e_5)
| product(e_5,e_1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_1484]),c_0_647])]),
[final] ).
cnf(c_0_1707,negated_conjecture,
( product(e_5,e_3,e_2)
| product(e_2,e_3,e_4)
| product(e_5,e_1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_1485]),c_0_647])]),
[final] ).
cnf(c_0_1709,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_2,e_5,e_1)
| product(e_5,e_1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_1487]),c_0_647])]),
[final] ).
cnf(c_0_1710,negated_conjecture,
( ~ product(e_3,e_5,X1)
| product(X1,e_2,e_5)
| product(e_3,e_5,e_4)
| product(e_4,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_144,c_0_974]),
[final] ).
cnf(c_0_1712,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_2,e_5,e_1)
| product(e_5,e_4,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1488,c_0_1052]),c_0_1489]),
[final] ).
cnf(c_0_1713,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_2,e_5,e_1)
| product(e_5,e_4,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1490,c_0_1052]),c_0_1129]),
[final] ).
cnf(c_0_1714,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_2,e_5,e_1)
| product(e_5,e_4,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1491,c_0_1052]),c_0_1378]),
[final] ).
cnf(c_0_1715,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_5,e_1)
| product(e_5,e_4,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1492,c_0_1052]),c_0_1379]),
[final] ).
cnf(c_0_1716,negated_conjecture,
( ~ product(e_3,e_5,X1)
| product(X1,e_2,e_5)
| product(e_2,e_5,e_1)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_144,c_0_1493]),
[final] ).
cnf(c_0_1717,negated_conjecture,
( ~ product(e_3,e_5,X1)
| product(X1,e_2,e_5)
| product(e_4,e_2,e_1)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_144,c_0_1494]),
[final] ).
cnf(c_0_1718,negated_conjecture,
( ~ product(e_3,e_5,X1)
| product(X1,e_2,e_5)
| product(e_4,e_2,e_1)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_144,c_0_1495]),
[final] ).
cnf(c_0_1719,negated_conjecture,
( ~ product(e_3,e_5,X1)
| product(X1,e_2,e_5)
| product(e_4,e_2,e_1)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_144,c_0_1496]),
[final] ).
cnf(c_0_1720,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_4,e_2,e_1)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_1497,c_0_823]),
[final] ).
cnf(c_0_1721,negated_conjecture,
( ~ product(e_3,e_5,X1)
| product(X1,e_2,e_5)
| product(e_5,e_2,e_3)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_144,c_0_1273]),
[final] ).
cnf(c_0_1722,negated_conjecture,
( ~ product(e_3,e_5,X1)
| product(X1,e_2,e_5)
| product(e_3,e_5,e_4)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_144,c_0_1498]),
[final] ).
cnf(c_0_1723,negated_conjecture,
( ~ product(e_3,e_5,X1)
| product(X1,e_2,e_5)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_144,c_0_1499]),
[final] ).
cnf(c_0_1724,negated_conjecture,
( ~ product(e_3,e_5,X1)
| product(X1,e_2,e_5)
| product(e_5,e_2,e_3)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_144,c_0_1241]),
[final] ).
cnf(c_0_1725,negated_conjecture,
( ~ product(e_3,e_5,X1)
| product(X1,e_2,e_5)
| product(e_5,e_2,e_3)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_144,c_0_1095]),
[final] ).
cnf(c_0_1726,negated_conjecture,
( ~ product(e_4,e_5,X1)
| product(X1,e_3,e_5)
| product(e_2,e_3,e_5)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1500,c_0_1501]),
[final] ).
cnf(c_0_1727,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_4,e_5,e_1)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1502,c_0_1073]),
[final] ).
cnf(c_0_1728,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_2,e_3,e_4)
| product(e_5,e_1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_1503]),c_0_647])]),
[final] ).
cnf(c_0_1729,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_4,e_5,e_1)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1504,c_0_1071]),
[final] ).
cnf(c_0_1731,negated_conjecture,
( ~ product(e_3,e_1,e_4)
| product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_1506,c_0_679]),
[final] ).
cnf(c_0_1732,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_4,e_5,e_1)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1502,c_0_805]),
[final] ).
cnf(c_0_1733,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_4,e_5,e_1)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1507,c_0_1078]),
[final] ).
cnf(c_0_1734,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_4,e_5,e_1)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1508,c_0_1080]),
[final] ).
cnf(c_0_1735,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_4,e_5,e_1)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1509,c_0_1079]),
[final] ).
cnf(c_0_1736,negated_conjecture,
( ~ product(e_1,e_4,e_2)
| product(e_3,e_1,e_4)
| product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_228,c_0_1510]),
[final] ).
cnf(c_0_1737,negated_conjecture,
( ~ product(e_1,e_2,e_5)
| product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_251,c_0_1511]),
[final] ).
cnf(c_0_1738,negated_conjecture,
( ~ product(e_3,e_5,X1)
| product(X1,e_2,e_5)
| product(e_2,e_5,e_1)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_1356,c_0_1489]),
[final] ).
cnf(c_0_1739,negated_conjecture,
( ~ product(e_3,e_5,X1)
| product(X1,e_2,e_5)
| product(e_2,e_3,e_1)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1512,c_0_1513]),
[final] ).
cnf(c_0_1740,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_2,e_3,e_1)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1088,c_0_1479]),
[final] ).
cnf(c_0_1741,plain,
( ~ next(X1,e_1)
| ~ greater(X2,e_0)
| ~ cycle(X1,X2)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_80,c_0_70]),
[final] ).
cnf(c_0_1742,plain,
( ~ greater(e_0,e_0)
| ~ product(e_3,e_1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_1514]),c_0_143]),c_0_103])]),
[final] ).
cnf(c_0_1743,plain,
( ~ next(X1,e_2)
| ~ greater(X2,e_0)
| ~ cycle(X1,X2)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_168,c_0_70]),
[final] ).
cnf(c_0_1744,plain,
( ~ next(X1,e_5)
| ~ greater(X2,e_0)
| ~ cycle(X1,X2)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_149,c_0_70]),
[final] ).
cnf(c_0_1745,plain,
( ~ next(e_5,X2)
| ~ greater(X1,e_3)
| ~ greater(e_2,X3)
| ~ cycle(X2,X3)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_1515,c_0_1038]),
[final] ).
cnf(c_0_1746,plain,
( ~ next(X1,e_2)
| ~ greater(X2,e_0)
| ~ cycle(X1,X2)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_792,c_0_70]),
[final] ).
cnf(c_0_1747,plain,
( ~ next(X1,e_1)
| ~ greater(X2,e_0)
| ~ cycle(X1,X2)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_117,c_0_70]),
[final] ).
cnf(c_0_1748,plain,
( ~ next(X1,e_5)
| ~ greater(X2,e_0)
| ~ cycle(X1,X2)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_136,c_0_70]),
[final] ).
cnf(c_0_1749,negated_conjecture,
( ~ product(e_4,e_5,X1)
| product(X1,e_2,e_5)
| product(e_5,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_144,c_0_821]),
[final] ).
cnf(c_0_1750,negated_conjecture,
( ~ product(e_3,e_5,e_2)
| ~ product(e_1,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_251,c_0_1052]),
[final] ).
cnf(c_0_1751,negated_conjecture,
( ~ product(e_3,e_5,X1)
| product(X1,e_2,e_5)
| product(e_3,e_5,e_2)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1356,c_0_1082]),
[final] ).
cnf(c_0_1752,negated_conjecture,
( product(e_1,e_5,e_2)
| product(e_4,e_3,e_1)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_198,c_0_1516]),
[final] ).
cnf(c_0_1753,negated_conjecture,
( ~ product(e_3,e_5,X1)
| product(X1,e_2,e_5)
| product(e_3,e_5,e_4)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_1356,c_0_1517]),
[final] ).
cnf(c_0_1754,negated_conjecture,
( ~ product(e_5,e_3,X1)
| product(X1,e_4,e_3)
| product(e_3,e_5,e_2)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_144,c_0_1518]),
[final] ).
cnf(c_0_1755,negated_conjecture,
( product(e_5,e_3,e_1)
| product(e_3,e_5,e_2)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_1403,c_0_1519]),
[final] ).
cnf(c_0_1756,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_2,e_3,e_5)
| product(e_5,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_1520,c_0_776]),
[final] ).
cnf(c_0_1757,negated_conjecture,
( ~ product(e_5,e_3,X1)
| product(X1,e_4,e_3)
| product(e_3,e_4,e_5)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_144,c_0_1521]),
[final] ).
cnf(c_0_1758,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_2,e_3,e_1)
| product(e_5,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_1522,c_0_776]),
[final] ).
cnf(c_0_1759,negated_conjecture,
( ~ product(e_5,e_3,X1)
| product(X1,e_4,e_3)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_144,c_0_1523]),
[final] ).
cnf(c_0_1760,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_5)
| product(e_5,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_1524,c_0_776]),
[final] ).
cnf(c_0_1761,negated_conjecture,
( ~ product(e_3,e_5,X1)
| ~ product(e_5,e_2,e_3)
| product(X1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_144,c_0_1525]),
[final] ).
cnf(c_0_1762,negated_conjecture,
( ~ product(e_1,e_4,e_2)
| product(e_2,e_4,e_1)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_276,c_0_1526]),
[final] ).
cnf(c_0_1763,negated_conjecture,
( ~ product(e_1,e_4,e_2)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_276,c_0_1527]),
[final] ).
cnf(c_0_1764,negated_conjecture,
( ~ product(e_1,e_4,e_2)
| product(e_2,e_4,e_1)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_276,c_0_1528]),
[final] ).
cnf(c_0_1765,negated_conjecture,
( ~ product(e_1,e_4,e_2)
| product(e_3,e_5,e_2)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_276,c_0_1529]),
[final] ).
cnf(c_0_1766,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_5,e_1,e_2)
| product(e_4,e_3,e_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_1530]),c_0_647])]),
[final] ).
cnf(c_0_1767,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_3,e_5,e_2)
| product(e_4,e_2,e_1) ),
inference(sr,[status(thm)],[c_0_797,c_0_628]),
[final] ).
cnf(c_0_1769,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_4,e_2,e_1)
| product(e_2,e_3,e_1) ),
inference(sr,[status(thm)],[c_0_856,c_0_628]),
[final] ).
cnf(c_0_1770,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_3,e_1,e_4)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1531,c_0_1041]),
[final] ).
cnf(c_0_1771,negated_conjecture,
( ~ product(e_5,e_4,e_3)
| product(e_4,e_3,e_1)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_1532,c_0_745]),
[final] ).
cnf(c_0_1772,negated_conjecture,
( ~ product(e_4,e_5,X1)
| ~ product(e_5,e_2,e_3)
| product(X1,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_144,c_0_870]),
[final] ).
cnf(c_0_1773,negated_conjecture,
( ~ product(e_5,e_2,e_1)
| product(e_3,e_1,e_4)
| product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_251,c_0_1533]),
[final] ).
cnf(c_0_1775,negated_conjecture,
( ~ product(e_3,e_5,X1)
| product(X1,e_2,e_5)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1512,c_0_1186]),
[final] ).
cnf(c_0_1776,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_5,e_1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_1534]),c_0_647])]),
[final] ).
cnf(c_0_1777,negated_conjecture,
( product(e_5,e_1,e_2)
| product(e_2,e_5,e_1)
| product(e_2,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_620,c_0_1379]),c_0_622]),
[final] ).
cnf(c_0_1778,negated_conjecture,
( product(e_5,e_1,e_2)
| product(e_2,e_5,e_1)
| product(e_3,e_4,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_620,c_0_1378]),c_0_622]),
[final] ).
cnf(c_0_1779,negated_conjecture,
( product(e_5,e_1,e_2)
| product(e_2,e_5,e_1)
| product(e_2,e_3,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_620,c_0_1535]),c_0_622]),
[final] ).
cnf(c_0_1780,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_5,e_1,e_2)
| product(e_5,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_1536,c_0_1246]),
[final] ).
cnf(c_0_1781,negated_conjecture,
( ~ product(e_2,e_4,X1)
| product(X1,e_3,e_4)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_144,c_0_1013]),
[final] ).
cnf(c_0_1782,negated_conjecture,
( ~ product(e_3,e_2,e_4)
| product(e_3,e_5,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1537,c_0_578]),c_0_861]),
[final] ).
cnf(c_0_1783,plain,
( ~ next(X1,e_2)
| ~ greater(X2,e_0)
| ~ cycle(X1,X2)
| ~ product(X1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_1538,c_0_70]),
[final] ).
cnf(c_0_1784,plain,
( ~ next(X1,e_1)
| ~ greater(X2,e_0)
| ~ cycle(X1,X2)
| ~ product(X1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_1539,c_0_70]),
[final] ).
cnf(c_0_1785,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_5,e_4,e_2)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_1540,c_0_615]),
[final] ).
cnf(c_0_1786,negated_conjecture,
( ~ product(e_4,e_3,e_1)
| product(e_5,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_179,c_0_1130]),
[final] ).
cnf(c_0_1789,plain,
( ~ cycle(e_4,e_5)
| cycle(e_4,e_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1543,c_0_858]),c_0_1544]),c_0_1545]),c_0_1546]),
[final] ).
cnf(c_0_1790,negated_conjecture,
( ~ product(e_2,e_3,e_1)
| product(e_5,e_3,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1415,c_0_503]),c_0_320]),
[final] ).
cnf(c_0_1791,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_1)
| product(e_4,e_2,e_1) ),
inference(sr,[status(thm)],[c_0_1084,c_0_628]),
[final] ).
cnf(c_0_1792,negated_conjecture,
( ~ product(e_1,e_2,e_4)
| product(e_3,e_5,e_2)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_251,c_0_1547]),
[final] ).
cnf(c_0_1793,negated_conjecture,
( ~ product(e_5,e_4,e_3)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_1542,c_0_745]),
[final] ).
cnf(c_0_1797,negated_conjecture,
( ~ product(e_5,e_2,e_3)
| ~ product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_244,c_0_870]),
[final] ).
cnf(c_0_1798,negated_conjecture,
( ~ product(e_5,e_4,X1)
| ~ product(e_3,e_5,e_1)
| product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_144,c_0_1548]),
[final] ).
cnf(c_0_1799,negated_conjecture,
( ~ product(e_5,e_4,e_3)
| product(e_3,e_1,e_4)
| product(e_3,e_4,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1549,c_0_745]),c_0_628]),
[final] ).
cnf(c_0_1800,negated_conjecture,
( ~ product(e_5,e_4,e_3)
| product(e_2,e_3,e_1)
| product(e_3,e_4,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1550,c_0_745]),c_0_628]),
[final] ).
cnf(c_0_1801,negated_conjecture,
( product(e_5,e_1,e_2)
| product(e_3,e_4,e_5)
| product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_620,c_0_1300]),c_0_622]),
[final] ).
cnf(c_0_1804,negated_conjecture,
( ~ product(e_1,e_2,e_4)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_251,c_0_1552]),
[final] ).
cnf(c_0_1805,negated_conjecture,
( product(e_4,e_2,e_3)
| product(e_5,e_1,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1553,c_0_516]),c_0_685]),
[final] ).
cnf(c_0_1806,negated_conjecture,
( ~ product(e_3,e_4,X1)
| product(X1,e_1,e_4)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_1305,c_0_1554]),
[final] ).
cnf(c_0_1807,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_1555,c_0_647]),
[final] ).
cnf(c_0_1808,negated_conjecture,
( ~ product(e_4,e_5,X1)
| product(X1,e_3,e_5)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_144,c_0_1556]),
[final] ).
cnf(c_0_1809,negated_conjecture,
( ~ product(e_1,e_3,e_4)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_148,c_0_987]),
[final] ).
cnf(c_0_1810,negated_conjecture,
( ~ product(e_2,e_5,e_1)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_1417,c_0_1125]),
[final] ).
cnf(c_0_1811,negated_conjecture,
( ~ product(e_2,e_4,X1)
| product(X1,e_3,e_4)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_144,c_0_1557]),
[final] ).
cnf(c_0_1812,negated_conjecture,
( ~ product(e_3,e_5,X1)
| product(X1,e_2,e_5)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_144,c_0_712]),
[final] ).
cnf(c_0_1813,negated_conjecture,
( product(e_4,e_2,e_3)
| product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_1558,c_0_986]),
[final] ).
cnf(c_0_1815,negated_conjecture,
~ product(e_4,e_3,e_3),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_762,c_0_1560]),c_0_276]),
[final] ).
cnf(c_0_1816,negated_conjecture,
( product(e_4,e_3,e_2)
| product(e_2,e_3,e_5) ),
inference(sr,[status(thm)],[c_0_774,c_0_628]),
[final] ).
cnf(c_0_1817,negated_conjecture,
( ~ product(e_2,e_4,e_1)
| product(e_5,e_2,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1175,c_0_1561]),c_0_1562]),
[final] ).
cnf(c_0_1818,negated_conjecture,
( ~ product(e_2,e_3,e_1)
| ~ product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_159,c_0_886]),
[final] ).
cnf(c_0_1819,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_1563,c_0_647]),
[final] ).
cnf(c_0_1820,negated_conjecture,
( ~ product(e_2,e_3,e_5)
| ~ product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_179,c_0_1348]),
[final] ).
cnf(c_0_1823,negated_conjecture,
( ~ product(e_3,e_2,e_4)
| product(e_4,e_2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_848,c_0_851]),c_0_614]),
[final] ).
cnf(c_0_1824,plain,
( ~ product(e_1,e_2,e_5)
| ~ product(e_5,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_127,c_0_1225]),
[final] ).
cnf(c_0_1825,negated_conjecture,
( ~ product(e_5,e_4,X1)
| ~ product(e_3,e_2,e_4)
| product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_144,c_0_1566]),
[final] ).
cnf(c_0_1826,negated_conjecture,
( ~ product(e_4,e_1,X1)
| ~ product(e_3,e_2,e_4)
| product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_1567,c_0_1566]),
[final] ).
cnf(c_0_1827,negated_conjecture,
( ~ product(e_2,e_3,e_5)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_666,c_0_1089]),
[final] ).
cnf(c_0_1828,negated_conjecture,
( ~ product(e_2,e_4,e_1)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_1568,c_0_1319]),
[final] ).
cnf(c_0_1833,negated_conjecture,
( ~ product(e_2,e_3,X1)
| product(X1,e_5,e_3)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_144,c_0_588]),
[final] ).
cnf(c_0_1836,negated_conjecture,
( ~ product(e_3,e_5,X1)
| product(X1,e_2,e_5)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_144,c_0_1574]),
[final] ).
cnf(c_0_1837,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_2,e_4,e_5) ),
inference(sr,[status(thm)],[c_0_1575,c_0_517]),
[final] ).
cnf(c_0_1838,negated_conjecture,
( ~ product(e_4,e_1,X1)
| product(X1,e_2,e_1)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_144,c_0_1576]),
[final] ).
cnf(c_0_1841,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_5,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_315,c_0_1579]),
[final] ).
cnf(c_0_1842,plain,
( ~ next(e_2,X1)
| ~ next(X2,e_2)
| ~ cycle(X1,X2)
| cycle(e_2,e_2)
| cycle(e_2,e_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_811,c_0_84]),c_0_812]),c_0_813]),
[final] ).
cnf(c_0_1843,plain,
( ~ next(e_2,X1)
| ~ next(X2,e_5)
| ~ cycle(X1,X2)
| cycle(e_2,e_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_880,c_0_84]),c_0_881]),c_0_882]),c_0_883]),
[final] ).
cnf(c_0_1844,plain,
( ~ next(e_4,X1)
| ~ next(X2,e_2)
| ~ cycle(X1,X2)
| cycle(e_4,e_2)
| cycle(e_4,e_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_811,c_0_858]),c_0_812]),c_0_813]),
[final] ).
cnf(c_0_1845,plain,
( ~ next(e_4,X1)
| ~ next(X2,e_5)
| ~ cycle(X1,X2)
| cycle(e_4,e_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_880,c_0_858]),c_0_881]),c_0_882]),c_0_883]),
[final] ).
cnf(c_0_1846,plain,
( ~ next(e_2,X1)
| ~ next(X2,e_4)
| ~ cycle(X1,X2)
| cycle(e_2,e_4)
| cycle(e_2,e_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1053,c_0_84]),c_0_1054]),c_0_1055]),
[final] ).
cnf(c_0_1847,plain,
( cycle(e_1,e_4)
| cycle(e_1,e_3)
| cycle(e_1,e_2)
| cycle(e_1,e_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1580,c_0_1581]),c_0_76]),c_0_85]),c_0_835])]),
[final] ).
cnf(c_0_1848,axiom,
greater(e_5,e_1),
e_5_greater_e_1,
[final] ).
cnf(c_0_1849,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_4,e_5,e_1)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1504,c_0_1077]),
[final] ).
cnf(c_0_1851,plain,
( ~ next(e_3,X1)
| ~ cycle(X1,e_0)
| cycle(e_2,e_0)
| cycle(e_2,e_2)
| cycle(e_2,e_3)
| cycle(e_2,e_4)
| cycle(e_3,e_2) ),
inference(spm,[status(thm)],[c_0_1584,c_0_85]),
[final] ).
cnf(c_0_1852,negated_conjecture,
( ~ next(e_5,X1)
| ~ cycle(X1,e_1)
| product(e_2,e_4,e_1)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1585,c_0_1586]),
[final] ).
cnf(c_0_1853,negated_conjecture,
( ~ next(e_5,X1)
| ~ cycle(X1,e_0)
| product(e_2,e_4,e_1)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1585,c_0_131]),
[final] ).
cnf(c_0_1854,negated_conjecture,
( ~ next(e_5,X1)
| ~ cycle(X1,e_2)
| product(e_2,e_4,e_1)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1585,c_0_1145]),
[final] ).
cnf(c_0_1855,negated_conjecture,
( ~ next(e_5,X1)
| ~ cycle(X1,e_1)
| product(e_2,e_5,e_1)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_1587,c_0_1586]),
[final] ).
cnf(c_0_1856,negated_conjecture,
( ~ next(e_5,X1)
| ~ cycle(X1,e_0)
| product(e_2,e_5,e_1)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_1587,c_0_131]),
[final] ).
cnf(c_0_1857,negated_conjecture,
( ~ next(e_5,X1)
| ~ cycle(X1,e_2)
| product(e_2,e_5,e_1)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_1587,c_0_1145]),
[final] ).
cnf(c_0_1858,negated_conjecture,
( ~ next(e_5,X1)
| ~ cycle(X1,e_1)
| product(e_2,e_5,e_1)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_1588,c_0_1586]),
[final] ).
cnf(c_0_1859,negated_conjecture,
( ~ next(e_5,X1)
| ~ cycle(X1,e_0)
| product(e_2,e_5,e_1)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_1588,c_0_131]),
[final] ).
cnf(c_0_1860,negated_conjecture,
( ~ next(e_5,X1)
| ~ cycle(X1,e_2)
| product(e_2,e_5,e_1)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_1588,c_0_1145]),
[final] ).
cnf(c_0_1861,negated_conjecture,
( ~ next(e_5,X1)
| ~ cycle(X1,e_1)
| product(e_2,e_5,e_1)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1589,c_0_1586]),
[final] ).
cnf(c_0_1862,negated_conjecture,
( ~ next(e_5,X1)
| ~ cycle(X1,e_0)
| product(e_2,e_5,e_1)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1589,c_0_131]),
[final] ).
cnf(c_0_1863,negated_conjecture,
( ~ next(e_5,X1)
| ~ cycle(X1,e_2)
| product(e_2,e_5,e_1)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1589,c_0_1145]),
[final] ).
cnf(c_0_1864,negated_conjecture,
( ~ next(e_5,X1)
| ~ cycle(X1,e_1)
| product(e_2,e_5,e_1)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_1590,c_0_1586]),
[final] ).
cnf(c_0_1865,negated_conjecture,
( ~ next(e_5,X1)
| ~ cycle(X1,e_0)
| product(e_2,e_5,e_1)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_1590,c_0_131]),
[final] ).
cnf(c_0_1866,negated_conjecture,
( ~ next(e_5,X1)
| ~ cycle(X1,e_2)
| product(e_2,e_5,e_1)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_1590,c_0_1145]),
[final] ).
cnf(c_0_1867,negated_conjecture,
( ~ next(e_5,X1)
| ~ cycle(X1,e_1)
| product(e_2,e_4,e_1)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_1591,c_0_1586]),
[final] ).
cnf(c_0_1868,negated_conjecture,
( ~ next(e_5,X1)
| ~ cycle(X1,e_0)
| product(e_2,e_4,e_1)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_1591,c_0_131]),
[final] ).
cnf(c_0_1869,negated_conjecture,
( ~ next(e_5,X1)
| ~ cycle(X1,e_2)
| product(e_2,e_4,e_1)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_1591,c_0_1145]),
[final] ).
cnf(c_0_1870,negated_conjecture,
( ~ next(e_5,X1)
| ~ cycle(X1,e_1)
| product(e_2,e_5,e_1)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_1592,c_0_1586]),
[final] ).
cnf(c_0_1871,negated_conjecture,
( ~ next(e_5,X1)
| ~ cycle(X1,e_0)
| product(e_2,e_5,e_1)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_1592,c_0_131]),
[final] ).
cnf(c_0_1872,negated_conjecture,
( ~ next(e_5,X1)
| ~ cycle(X1,e_2)
| product(e_2,e_5,e_1)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_1592,c_0_1145]),
[final] ).
cnf(c_0_1873,negated_conjecture,
( ~ next(e_5,X1)
| ~ cycle(X1,e_1)
| product(e_2,e_3,e_4)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_1593,c_0_1586]),
[final] ).
cnf(c_0_1874,negated_conjecture,
( ~ next(e_5,X1)
| ~ cycle(X1,e_0)
| product(e_2,e_3,e_4)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_1593,c_0_131]),
[final] ).
cnf(c_0_1875,negated_conjecture,
( ~ next(e_5,X1)
| ~ cycle(X1,e_2)
| product(e_2,e_3,e_4)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_1593,c_0_1145]),
[final] ).
cnf(c_0_1876,negated_conjecture,
( ~ next(e_5,X1)
| ~ cycle(X1,e_1)
| product(e_2,e_3,e_4)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_1594,c_0_1586]),
[final] ).
cnf(c_0_1877,negated_conjecture,
( ~ next(e_5,X1)
| ~ cycle(X1,e_0)
| product(e_2,e_3,e_4)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_1594,c_0_131]),
[final] ).
cnf(c_0_1878,negated_conjecture,
( ~ next(e_5,X1)
| ~ cycle(X1,e_2)
| product(e_2,e_3,e_4)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_1594,c_0_1145]),
[final] ).
cnf(c_0_1879,negated_conjecture,
( ~ next(e_5,X1)
| ~ cycle(X1,e_1)
| product(e_2,e_3,e_4)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1595,c_0_1586]),
[final] ).
cnf(c_0_1880,negated_conjecture,
( ~ next(e_5,X1)
| ~ cycle(X1,e_0)
| product(e_2,e_3,e_4)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1595,c_0_131]),
[final] ).
cnf(c_0_1881,negated_conjecture,
( ~ next(e_5,X1)
| ~ cycle(X1,e_2)
| product(e_2,e_3,e_4)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1595,c_0_1145]),
[final] ).
cnf(c_0_1882,negated_conjecture,
( ~ next(e_5,X1)
| ~ cycle(X1,e_1)
| product(e_3,e_5,e_4)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1596,c_0_1586]),
[final] ).
cnf(c_0_1883,negated_conjecture,
( ~ next(e_5,X1)
| ~ cycle(X1,e_0)
| product(e_3,e_5,e_4)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1596,c_0_131]),
[final] ).
cnf(c_0_1884,negated_conjecture,
( ~ next(e_5,X1)
| ~ cycle(X1,e_2)
| product(e_3,e_5,e_4)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1596,c_0_1145]),
[final] ).
cnf(c_0_1885,negated_conjecture,
( ~ next(e_5,X1)
| ~ cycle(X1,e_1)
| product(e_2,e_3,e_5)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1597,c_0_1586]),
[final] ).
cnf(c_0_1886,negated_conjecture,
( ~ next(e_5,X1)
| ~ cycle(X1,e_0)
| product(e_2,e_3,e_5)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1597,c_0_131]),
[final] ).
cnf(c_0_1887,negated_conjecture,
( ~ next(e_5,X1)
| ~ cycle(X1,e_2)
| product(e_2,e_3,e_5)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1597,c_0_1145]),
[final] ).
cnf(c_0_1888,negated_conjecture,
( ~ next(e_5,X1)
| ~ cycle(X1,e_1)
| product(e_3,e_4,e_5)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_1598,c_0_1586]),
[final] ).
cnf(c_0_1889,negated_conjecture,
( ~ next(e_5,X1)
| ~ cycle(X1,e_0)
| product(e_3,e_4,e_5)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_1598,c_0_131]),
[final] ).
cnf(c_0_1890,negated_conjecture,
( ~ next(e_5,X1)
| ~ cycle(X1,e_2)
| product(e_3,e_4,e_5)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_1598,c_0_1145]),
[final] ).
cnf(c_0_1891,negated_conjecture,
( ~ next(e_5,X1)
| ~ cycle(X1,e_1)
| product(e_2,e_3,e_5)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_1599,c_0_1586]),
[final] ).
cnf(c_0_1892,negated_conjecture,
( ~ next(e_5,X1)
| ~ cycle(X1,e_0)
| product(e_2,e_3,e_5)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_1599,c_0_131]),
[final] ).
cnf(c_0_1893,negated_conjecture,
( ~ next(e_5,X1)
| ~ cycle(X1,e_2)
| product(e_2,e_3,e_5)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_1599,c_0_1145]),
[final] ).
cnf(c_0_1894,negated_conjecture,
( ~ next(e_5,X1)
| ~ cycle(X1,e_1)
| product(e_3,e_2,e_4)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_1600,c_0_1586]),
[final] ).
cnf(c_0_1895,negated_conjecture,
( ~ next(e_5,X1)
| ~ cycle(X1,e_0)
| product(e_3,e_2,e_4)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_1600,c_0_131]),
[final] ).
cnf(c_0_1896,negated_conjecture,
( ~ next(e_5,X1)
| ~ cycle(X1,e_2)
| product(e_3,e_2,e_4)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_1600,c_0_1145]),
[final] ).
cnf(c_0_1897,plain,
( ~ cycle(e_1,e_5)
| cycle(e_1,e_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1543,c_0_1581]),c_0_1544]),c_0_1545]),c_0_1546]),
[final] ).
cnf(c_0_1898,negated_conjecture,
( ~ next(e_3,X1)
| ~ cycle(X1,e_0)
| product(e_2,e_3,e_4)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_1601,c_0_961]),
[final] ).
cnf(c_0_1899,negated_conjecture,
( ~ next(e_3,X1)
| ~ cycle(X1,e_4)
| product(e_2,e_3,e_4)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_1602,c_0_903]),
[final] ).
cnf(c_0_1900,negated_conjecture,
( ~ next(e_3,X1)
| ~ cycle(X1,e_3)
| product(e_2,e_3,e_4)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_1603,c_0_103]),
[final] ).
cnf(c_0_1901,negated_conjecture,
( ~ next(e_3,X1)
| ~ cycle(X1,e_2)
| product(e_2,e_3,e_4)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_1604,c_0_86]),
[final] ).
cnf(c_0_1902,negated_conjecture,
( ~ next(e_3,X1)
| ~ cycle(X1,e_0)
| product(e_2,e_3,e_5)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1605,c_0_961]),
[final] ).
cnf(c_0_1903,negated_conjecture,
( ~ next(e_3,X1)
| ~ cycle(X1,e_4)
| product(e_2,e_3,e_5)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1606,c_0_903]),
[final] ).
cnf(c_0_1904,negated_conjecture,
( ~ next(e_3,X1)
| ~ cycle(X1,e_3)
| product(e_2,e_3,e_5)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1607,c_0_103]),
[final] ).
cnf(c_0_1905,negated_conjecture,
( ~ next(e_3,X1)
| ~ cycle(X1,e_2)
| product(e_2,e_3,e_5)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1608,c_0_86]),
[final] ).
cnf(c_0_1906,negated_conjecture,
( ~ next(e_3,X1)
| ~ cycle(X1,e_0)
| product(e_3,e_4,e_5)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1609,c_0_961]),
[final] ).
cnf(c_0_1907,negated_conjecture,
( ~ next(e_3,X1)
| ~ cycle(X1,e_4)
| product(e_3,e_4,e_5)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1610,c_0_903]),
[final] ).
cnf(c_0_1908,negated_conjecture,
( ~ next(e_3,X1)
| ~ cycle(X1,e_3)
| product(e_3,e_4,e_5)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1611,c_0_103]),
[final] ).
cnf(c_0_1909,negated_conjecture,
( ~ next(e_3,X1)
| ~ cycle(X1,e_2)
| product(e_3,e_4,e_5)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1612,c_0_86]),
[final] ).
cnf(c_0_1910,negated_conjecture,
( ~ next(e_3,X1)
| ~ cycle(X1,e_0)
| product(e_3,e_5,e_1)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1613,c_0_961]),
[final] ).
cnf(c_0_1911,negated_conjecture,
( ~ next(e_3,X1)
| ~ cycle(X1,e_4)
| product(e_3,e_5,e_1)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1614,c_0_903]),
[final] ).
cnf(c_0_1912,negated_conjecture,
( ~ next(e_3,X1)
| ~ cycle(X1,e_3)
| product(e_3,e_5,e_1)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1615,c_0_103]),
[final] ).
cnf(c_0_1913,negated_conjecture,
( ~ next(e_3,X1)
| ~ cycle(X1,e_2)
| product(e_3,e_5,e_1)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1616,c_0_86]),
[final] ).
cnf(c_0_1914,negated_conjecture,
( ~ next(e_3,X1)
| ~ cycle(X1,e_0)
| product(e_3,e_2,e_4)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1617,c_0_961]),
[final] ).
cnf(c_0_1915,negated_conjecture,
( ~ next(e_3,X1)
| ~ cycle(X1,e_4)
| product(e_3,e_2,e_4)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1618,c_0_903]),
[final] ).
cnf(c_0_1916,negated_conjecture,
( ~ next(e_3,X1)
| ~ cycle(X1,e_3)
| product(e_3,e_2,e_4)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1619,c_0_103]),
[final] ).
cnf(c_0_1917,negated_conjecture,
( ~ next(e_3,X1)
| ~ cycle(X1,e_2)
| product(e_3,e_2,e_4)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1620,c_0_86]),
[final] ).
cnf(c_0_1918,negated_conjecture,
( ~ next(e_3,X1)
| ~ cycle(X1,e_0)
| product(e_3,e_5,e_4)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_1621,c_0_961]),
[final] ).
cnf(c_0_1919,negated_conjecture,
( ~ next(e_3,X1)
| ~ cycle(X1,e_4)
| product(e_3,e_5,e_4)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_1622,c_0_903]),
[final] ).
cnf(c_0_1920,negated_conjecture,
( ~ next(e_3,X1)
| ~ cycle(X1,e_3)
| product(e_3,e_5,e_4)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_1623,c_0_103]),
[final] ).
cnf(c_0_1921,negated_conjecture,
( ~ next(e_3,X1)
| ~ cycle(X1,e_2)
| product(e_3,e_5,e_4)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_1624,c_0_86]),
[final] ).
cnf(c_0_1922,negated_conjecture,
( ~ next(e_3,X1)
| ~ cycle(X1,e_0)
| product(e_2,e_4,e_1)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1625,c_0_961]),
[final] ).
cnf(c_0_1923,negated_conjecture,
( ~ next(e_3,X1)
| ~ cycle(X1,e_4)
| product(e_2,e_4,e_1)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1626,c_0_903]),
[final] ).
cnf(c_0_1924,negated_conjecture,
( ~ next(e_3,X1)
| ~ cycle(X1,e_3)
| product(e_2,e_4,e_1)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1627,c_0_103]),
[final] ).
cnf(c_0_1925,negated_conjecture,
( ~ next(e_3,X1)
| ~ cycle(X1,e_2)
| product(e_2,e_4,e_1)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1628,c_0_86]),
[final] ).
cnf(c_0_1926,negated_conjecture,
( ~ next(e_3,X1)
| ~ cycle(X1,e_0)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1629,c_0_961]),
[final] ).
cnf(c_0_1927,negated_conjecture,
( ~ next(e_3,X1)
| ~ cycle(X1,e_4)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1630,c_0_903]),
[final] ).
cnf(c_0_1928,negated_conjecture,
( ~ next(e_3,X1)
| ~ cycle(X1,e_3)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1631,c_0_103]),
[final] ).
cnf(c_0_1929,negated_conjecture,
( ~ next(e_3,X1)
| ~ cycle(X1,e_2)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1632,c_0_86]),
[final] ).
cnf(c_0_1930,negated_conjecture,
( ~ next(e_3,X1)
| ~ cycle(X1,e_0)
| product(e_3,e_4,e_5)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1633,c_0_961]),
[final] ).
cnf(c_0_1931,negated_conjecture,
( ~ next(e_3,X1)
| ~ cycle(X1,e_4)
| product(e_3,e_4,e_5)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1634,c_0_903]),
[final] ).
cnf(c_0_1932,negated_conjecture,
( ~ next(e_3,X1)
| ~ cycle(X1,e_3)
| product(e_3,e_4,e_5)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1635,c_0_103]),
[final] ).
cnf(c_0_1933,negated_conjecture,
( ~ next(e_3,X1)
| ~ cycle(X1,e_2)
| product(e_3,e_4,e_5)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1636,c_0_86]),
[final] ).
cnf(c_0_1934,negated_conjecture,
( ~ next(e_3,X1)
| ~ cycle(X1,e_0)
| product(e_3,e_5,e_1)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1637,c_0_961]),
[final] ).
cnf(c_0_1935,negated_conjecture,
( ~ next(e_3,X1)
| ~ cycle(X1,e_4)
| product(e_3,e_5,e_1)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1638,c_0_903]),
[final] ).
cnf(c_0_1936,negated_conjecture,
( ~ next(e_3,X1)
| ~ cycle(X1,e_3)
| product(e_3,e_5,e_1)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1639,c_0_103]),
[final] ).
cnf(c_0_1937,negated_conjecture,
( ~ next(e_3,X1)
| ~ cycle(X1,e_2)
| product(e_3,e_5,e_1)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1640,c_0_86]),
[final] ).
cnf(c_0_1938,negated_conjecture,
( ~ next(e_3,X1)
| ~ cycle(X1,e_0)
| product(e_3,e_5,e_1)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_1641,c_0_961]),
[final] ).
cnf(c_0_1939,negated_conjecture,
( ~ next(e_3,X1)
| ~ cycle(X1,e_4)
| product(e_3,e_5,e_1)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_1642,c_0_903]),
[final] ).
cnf(c_0_1940,negated_conjecture,
( ~ next(e_3,X1)
| ~ cycle(X1,e_3)
| product(e_3,e_5,e_1)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_1643,c_0_103]),
[final] ).
cnf(c_0_1941,negated_conjecture,
( ~ next(e_3,X1)
| ~ cycle(X1,e_2)
| product(e_3,e_5,e_1)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_1644,c_0_86]),
[final] ).
cnf(c_0_1942,negated_conjecture,
( ~ next(e_3,X1)
| ~ cycle(X1,e_0)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_1645,c_0_961]),
[final] ).
cnf(c_0_1943,negated_conjecture,
( ~ next(e_3,X1)
| ~ cycle(X1,e_4)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_1646,c_0_903]),
[final] ).
cnf(c_0_1944,negated_conjecture,
( ~ next(e_3,X1)
| ~ cycle(X1,e_3)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_1647,c_0_103]),
[final] ).
cnf(c_0_1945,negated_conjecture,
( ~ next(e_3,X1)
| ~ cycle(X1,e_2)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_1648,c_0_86]),
[final] ).
cnf(c_0_1946,negated_conjecture,
( ~ next(e_3,X1)
| ~ cycle(X1,e_0)
| product(e_3,e_5,e_4)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_1649,c_0_961]),
[final] ).
cnf(c_0_1947,negated_conjecture,
( ~ next(e_3,X1)
| ~ cycle(X1,e_4)
| product(e_3,e_5,e_4)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_1650,c_0_903]),
[final] ).
cnf(c_0_1948,negated_conjecture,
( ~ next(e_3,X1)
| ~ cycle(X1,e_3)
| product(e_3,e_5,e_4)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_1651,c_0_103]),
[final] ).
cnf(c_0_1949,negated_conjecture,
( ~ next(e_3,X1)
| ~ cycle(X1,e_2)
| product(e_3,e_5,e_4)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_1652,c_0_86]),
[final] ).
cnf(c_0_1950,negated_conjecture,
( ~ next(e_3,X1)
| ~ cycle(X1,e_0)
| product(e_3,e_5,e_4)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_1653,c_0_961]),
[final] ).
cnf(c_0_1951,negated_conjecture,
( ~ next(e_3,X1)
| ~ cycle(X1,e_4)
| product(e_3,e_5,e_4)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_1654,c_0_903]),
[final] ).
cnf(c_0_1952,negated_conjecture,
( ~ next(e_3,X1)
| ~ cycle(X1,e_3)
| product(e_3,e_5,e_4)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_1655,c_0_103]),
[final] ).
cnf(c_0_1953,negated_conjecture,
( ~ next(e_3,X1)
| ~ cycle(X1,e_2)
| product(e_3,e_5,e_4)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_1656,c_0_86]),
[final] ).
cnf(c_0_1954,negated_conjecture,
( ~ next(e_3,X1)
| ~ cycle(X1,e_0)
| product(e_3,e_5,e_4)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_1657,c_0_961]),
[final] ).
cnf(c_0_1955,negated_conjecture,
( ~ next(e_3,X1)
| ~ cycle(X1,e_4)
| product(e_3,e_5,e_4)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_1658,c_0_903]),
[final] ).
cnf(c_0_1956,negated_conjecture,
( ~ next(e_3,X1)
| ~ cycle(X1,e_3)
| product(e_3,e_5,e_4)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_1659,c_0_103]),
[final] ).
cnf(c_0_1957,negated_conjecture,
( ~ next(e_3,X1)
| ~ cycle(X1,e_2)
| product(e_3,e_5,e_4)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_1660,c_0_86]),
[final] ).
cnf(c_0_1958,negated_conjecture,
( ~ product(e_1,e_5,X1)
| product(X1,e_2,e_5)
| product(e_5,e_3,e_2)
| product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_144,c_0_1661]),
[final] ).
cnf(c_0_1959,negated_conjecture,
( ~ product(e_3,e_1,e_2)
| product(e_5,e_3,e_2)
| product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_159,c_0_1661]),
[final] ).
cnf(c_0_1960,negated_conjecture,
( ~ product(e_5,e_1,X1)
| product(X1,e_2,e_1)
| product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_544,c_0_629]),
[final] ).
cnf(c_0_1961,negated_conjecture,
( ~ product(e_4,e_1,X1)
| ~ product(e_4,e_5,e_3)
| product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_144,c_0_1662]),
[final] ).
cnf(c_0_1962,negated_conjecture,
( ~ product(e_3,e_1,X1)
| ~ product(e_1,e_2,e_5)
| product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_144,c_0_1225]),
[final] ).
cnf(c_0_1963,negated_conjecture,
( product(e_1,e_2,e_5)
| product(e_4,e_5,e_3)
| product(e_3,e_5,e_2) ),
inference(sr,[status(thm)],[c_0_948,c_0_1217]),
[final] ).
cnf(c_0_1964,negated_conjecture,
( product(e_1,e_2,e_5)
| product(e_4,e_5,e_3)
| product(e_3,e_1,e_4) ),
inference(sr,[status(thm)],[c_0_1663,c_0_1217]),
[final] ).
cnf(c_0_1965,negated_conjecture,
( product(e_1,e_2,e_5)
| product(e_4,e_5,e_3)
| product(e_2,e_3,e_1) ),
inference(sr,[status(thm)],[c_0_1664,c_0_1217]),
[final] ).
cnf(c_0_1966,negated_conjecture,
( ~ product(e_4,e_1,X1)
| ~ product(e_5,e_3,e_4)
| product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_760,c_0_1382]),
[final] ).
cnf(c_0_1967,plain,
( product(e_4,e_5,e_1)
| product(e_4,e_5,e_2)
| product(e_4,e_5,e_3) ),
inference(sr,[status(thm)],[c_0_219,c_0_1217]),
[final] ).
cnf(c_0_1968,negated_conjecture,
( product(e_5,e_3,e_1)
| product(e_4,e_5,e_2)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_1403,c_0_1665]),
[final] ).
cnf(c_0_1969,negated_conjecture,
( ~ product(e_2,e_3,e_1)
| ~ product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_208,c_0_886]),
[final] ).
cnf(c_0_1970,negated_conjecture,
( ~ product(e_4,e_3,e_2)
| product(e_3,e_5,e_2)
| product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_179,c_0_1666]),
[final] ).
cnf(c_0_1971,negated_conjecture,
( ~ product(e_4,e_3,e_2)
| product(e_3,e_1,e_4)
| product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_179,c_0_1667]),
[final] ).
cnf(c_0_1972,negated_conjecture,
( ~ product(e_4,e_3,e_2)
| product(e_2,e_3,e_1)
| product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_179,c_0_1668]),
[final] ).
cnf(c_0_1973,negated_conjecture,
( ~ product(e_2,e_3,e_4)
| product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_1669,c_0_1275]),
[final] ).
cnf(c_0_1974,negated_conjecture,
( ~ product(e_2,e_5,e_1)
| product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_1670,c_0_1275]),
[final] ).
cnf(c_0_1975,negated_conjecture,
( ~ product(e_5,e_3,e_4)
| ~ product(e_5,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_276,c_0_1382]),
[final] ).
cnf(c_0_1976,negated_conjecture,
( ~ product(e_4,e_2,e_1)
| product(e_5,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1022,c_0_1671]),c_0_622]),
[final] ).
cnf(c_0_1977,negated_conjecture,
( ~ product(e_4,e_5,X1)
| ~ product(e_4,e_5,e_3)
| product(X1,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_144,c_0_1672]),
[final] ).
cnf(c_0_1978,plain,
( ~ product(e_5,e_4,e_2)
| product(e_5,e_2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_1673]),c_0_244]),
[final] ).
cnf(c_0_1979,negated_conjecture,
( product(e_5,e_3,e_1)
| product(e_4,e_5,e_2)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_1403,c_0_1674]),
[final] ).
cnf(c_0_1982,plain,
( ~ next(e_3,X1)
| ~ next(X2,e_1)
| ~ cycle(X1,X2)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_941,c_0_1677]),
[final] ).
cnf(c_0_1983,plain,
( ~ next(e_3,X1)
| ~ next(X2,e_3)
| ~ cycle(X1,X2)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_981,c_0_1677]),
[final] ).
cnf(c_0_1984,plain,
( ~ next(e_3,X1)
| ~ next(X2,e_4)
| ~ cycle(X1,X2)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_1054,c_0_1677]),
[final] ).
cnf(c_0_1985,plain,
( ~ next(e_3,X1)
| ~ next(X2,e_5)
| ~ cycle(X1,X2)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_881,c_0_1677]),
[final] ).
cnf(c_0_1986,plain,
( ~ next(e_5,X1)
| ~ greater(e_3,X2)
| ~ cycle(X1,X2)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_1435,c_0_1278]),
[final] ).
cnf(c_0_1987,plain,
( ~ next(e_5,X1)
| ~ cycle(X1,e_0)
| cycle(e_2,e_0)
| cycle(e_2,e_2)
| cycle(e_2,e_3)
| cycle(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_1678,c_0_85]),
[final] ).
cnf(c_0_1988,plain,
( ~ next(e_5,X1)
| ~ cycle(X1,e_0)
| cycle(e_4,e_0)
| cycle(e_4,e_2)
| cycle(e_4,e_3)
| cycle(e_4,e_4) ),
inference(spm,[status(thm)],[c_0_1679,c_0_85]),
[final] ).
cnf(c_0_1989,plain,
( ~ next(e_4,X1)
| ~ cycle(X1,e_2)
| cycle(e_4,e_0)
| cycle(e_4,e_3) ),
inference(spm,[status(thm)],[c_0_1680,c_0_86]),
[final] ).
cnf(c_0_1990,plain,
( ~ next(e_4,X1)
| ~ cycle(X1,e_3)
| cycle(e_4,e_0)
| cycle(e_4,e_4) ),
inference(spm,[status(thm)],[c_0_1681,c_0_103]),
[final] ).
cnf(c_0_1991,axiom,
greater(e_2,e_1),
e_2_greater_e_1,
[final] ).
cnf(c_0_1992,plain,
( ~ next(e_3,X2)
| ~ next(X3,e_1)
| ~ greater(X1,e_3)
| ~ cycle(X2,X3)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_941,c_0_1038]),
[final] ).
cnf(c_0_1993,plain,
( ~ next(e_3,X2)
| ~ next(X3,e_3)
| ~ greater(X1,e_3)
| ~ cycle(X2,X3)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_981,c_0_1038]),
[final] ).
cnf(c_0_1994,plain,
( ~ next(e_3,X2)
| ~ next(X3,e_4)
| ~ greater(X1,e_3)
| ~ cycle(X2,X3)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_1054,c_0_1038]),
[final] ).
cnf(c_0_1995,plain,
( ~ next(e_3,X2)
| ~ next(X3,e_5)
| ~ greater(X1,e_3)
| ~ cycle(X2,X3)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_881,c_0_1038]),
[final] ).
cnf(c_0_1996,plain,
( ~ next(e_3,X2)
| ~ greater(X1,X3)
| ~ cycle(X2,X3)
| ~ cycle(e_1,X1)
| cycle(e_3,e_2) ),
inference(spm,[status(thm)],[c_0_1328,c_0_1586]),
[final] ).
cnf(c_0_1997,negated_conjecture,
( ~ product(e_4,e_3,e_1)
| product(e_4,e_5,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_250,c_0_1682]),c_0_251]),
[final] ).
cnf(c_0_1998,negated_conjecture,
( product(e_4,e_5,e_3)
| product(e_3,e_5,e_1)
| product(e_3,e_1,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_913,c_0_1683]),c_0_1684]),
[final] ).
cnf(c_0_1999,negated_conjecture,
( product(e_4,e_5,e_3)
| product(e_3,e_1,e_4)
| product(e_4,e_3,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_913,c_0_1685]),c_0_1686]),
[final] ).
cnf(c_0_2000,negated_conjecture,
( product(e_4,e_5,e_3)
| product(e_3,e_1,e_4)
| product(e_3,e_2,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_913,c_0_1687]),c_0_1688]),
[final] ).
cnf(c_0_2001,negated_conjecture,
( product(e_4,e_5,e_3)
| product(e_3,e_1,e_4)
| product(e_3,e_4,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_913,c_0_1689]),c_0_1690]),
[final] ).
cnf(c_0_2002,negated_conjecture,
( product(e_4,e_5,e_3)
| product(e_2,e_3,e_5)
| product(e_3,e_1,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_913,c_0_1691]),c_0_1692]),
[final] ).
cnf(c_0_2003,negated_conjecture,
( product(e_4,e_5,e_3)
| product(e_2,e_3,e_1)
| product(e_4,e_3,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_913,c_0_1302]),c_0_1686]),
[final] ).
cnf(c_0_2004,negated_conjecture,
( product(e_4,e_5,e_3)
| product(e_3,e_5,e_2)
| product(e_4,e_3,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_913,c_0_1135]),c_0_1686]),
[final] ).
cnf(c_0_2005,negated_conjecture,
( product(e_4,e_5,e_3)
| product(e_3,e_4,e_5)
| product(e_3,e_5,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_913,c_0_1693]),c_0_1690]),
[final] ).
cnf(c_0_2006,negated_conjecture,
( product(e_4,e_5,e_3)
| product(e_3,e_2,e_4)
| product(e_3,e_5,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_913,c_0_1694]),c_0_1688]),
[final] ).
cnf(c_0_2007,negated_conjecture,
( product(e_4,e_5,e_3)
| product(e_2,e_3,e_5)
| product(e_2,e_3,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_913,c_0_1695]),c_0_1692]),
[final] ).
cnf(c_0_2008,negated_conjecture,
( product(e_4,e_5,e_3)
| product(e_3,e_5,e_1)
| product(e_3,e_5,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_913,c_0_1696]),c_0_1684]),
[final] ).
cnf(c_0_2009,negated_conjecture,
( product(e_4,e_5,e_3)
| product(e_2,e_3,e_5)
| product(e_3,e_5,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_913,c_0_1697]),c_0_1692]),
[final] ).
cnf(c_0_2010,negated_conjecture,
( product(e_4,e_5,e_3)
| product(e_3,e_4,e_5)
| product(e_2,e_3,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_913,c_0_1698]),c_0_1690]),
[final] ).
cnf(c_0_2011,negated_conjecture,
( product(e_4,e_5,e_3)
| product(e_3,e_5,e_1)
| product(e_2,e_3,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_913,c_0_1699]),c_0_1684]),
[final] ).
cnf(c_0_2012,negated_conjecture,
( product(e_4,e_5,e_3)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_913,c_0_1700]),c_0_1688]),
[final] ).
cnf(c_0_2013,negated_conjecture,
( ~ product(e_1,e_5,X1)
| product(X1,e_2,e_5)
| product(e_4,e_3,e_1)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_144,c_0_1701]),
[final] ).
cnf(c_0_2014,negated_conjecture,
( ~ product(e_1,e_5,X1)
| product(X1,e_2,e_5)
| product(e_2,e_5,e_1)
| product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_144,c_0_1702]),
[final] ).
cnf(c_0_2015,negated_conjecture,
( ~ product(e_3,e_1,e_2)
| product(e_4,e_2,e_1)
| product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_159,c_0_1703]),
[final] ).
cnf(c_0_2016,negated_conjecture,
( ~ product(e_1,e_5,X1)
| product(X1,e_2,e_5)
| product(e_5,e_2,e_3)
| product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_144,c_0_1673]),
[final] ).
cnf(c_0_2017,plain,
( ~ product(e_3,e_1,e_2)
| product(e_5,e_2,e_3)
| product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_159,c_0_1673]),
[final] ).
cnf(c_0_2018,negated_conjecture,
( product(e_5,e_3,e_2)
| product(e_3,e_5,e_4)
| product(e_5,e_1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_1704]),c_0_647])]),
[final] ).
cnf(c_0_2019,negated_conjecture,
( ~ product(e_1,e_5,X1)
| product(X1,e_2,e_5)
| product(e_4,e_3,e_1)
| product(e_5,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_144,c_0_1705]),
[final] ).
cnf(c_0_2020,negated_conjecture,
( ~ product(e_3,e_1,e_2)
| product(e_4,e_3,e_1)
| product(e_5,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_159,c_0_1705]),
[final] ).
cnf(c_0_2021,negated_conjecture,
( ~ product(e_1,e_5,X1)
| product(X1,e_2,e_5)
| product(e_3,e_4,e_5)
| product(e_5,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_144,c_0_1706]),
[final] ).
cnf(c_0_2022,negated_conjecture,
( ~ product(e_3,e_1,e_2)
| product(e_3,e_4,e_5)
| product(e_5,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_159,c_0_1706]),
[final] ).
cnf(c_0_2023,negated_conjecture,
( ~ product(e_1,e_5,X1)
| product(X1,e_2,e_5)
| product(e_2,e_3,e_4)
| product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_144,c_0_1707]),
[final] ).
cnf(c_0_2024,negated_conjecture,
( product(e_5,e_3,e_1)
| product(e_2,e_4,e_1)
| product(e_3,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1708,c_0_1017]),c_0_757]),
[final] ).
cnf(c_0_2025,negated_conjecture,
( product(e_5,e_3,e_1)
| product(e_3,e_1,e_4)
| product(e_3,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1708,c_0_1016]),c_0_757]),
[final] ).
cnf(c_0_2026,negated_conjecture,
( product(e_5,e_3,e_1)
| product(e_3,e_5,e_2)
| product(e_3,e_5,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1708,c_0_1289]),c_0_757]),
[final] ).
cnf(c_0_2027,negated_conjecture,
( product(e_5,e_3,e_1)
| product(e_3,e_1,e_4)
| product(e_3,e_5,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1708,c_0_1015]),c_0_757]),
[final] ).
cnf(c_0_2028,negated_conjecture,
( product(e_5,e_3,e_1)
| product(e_2,e_3,e_1)
| product(e_3,e_5,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1708,c_0_1238]),c_0_757]),
[final] ).
cnf(c_0_2029,plain,
( ~ cycle(e_2,e_5)
| cycle(e_2,e_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1543,c_0_84]),c_0_1544]),c_0_1545]),c_0_1546]),
[final] ).
cnf(c_0_2030,plain,
( ~ cycle(e_3,e_5)
| cycle(e_3,e_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1543,c_0_102]),c_0_1544]),c_0_1545]),c_0_1546]),
[final] ).
cnf(c_0_2031,negated_conjecture,
( ~ next(e_2,X1)
| ~ next(X2,e_2)
| ~ cycle(X1,X2)
| product(e_2,e_3,e_4)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_812,c_0_1196]),
[final] ).
cnf(c_0_2032,negated_conjecture,
( ~ next(e_2,X1)
| ~ next(X2,e_4)
| ~ cycle(X1,X2)
| product(e_2,e_3,e_4)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_1055,c_0_1196]),
[final] ).
cnf(c_0_2033,negated_conjecture,
( ~ next(e_2,X1)
| ~ next(X2,e_5)
| ~ cycle(X1,X2)
| product(e_2,e_3,e_4)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_882,c_0_1196]),
[final] ).
cnf(c_0_2034,plain,
( ~ cycle(X1,e_3)
| ~ cycle(X1,e_2) ),
inference(spm,[status(thm)],[c_0_168,c_0_1414]),
[final] ).
cnf(c_0_2035,negated_conjecture,
( ~ next(e_2,X1)
| ~ next(X2,e_2)
| ~ cycle(X1,X2)
| product(e_2,e_3,e_5)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_812,c_0_1197]),
[final] ).
cnf(c_0_2036,negated_conjecture,
( ~ next(e_2,X1)
| ~ next(X2,e_4)
| ~ cycle(X1,X2)
| product(e_2,e_3,e_5)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1055,c_0_1197]),
[final] ).
cnf(c_0_2037,negated_conjecture,
( ~ next(e_2,X1)
| ~ next(X2,e_5)
| ~ cycle(X1,X2)
| product(e_2,e_3,e_5)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_882,c_0_1197]),
[final] ).
cnf(c_0_2038,negated_conjecture,
( ~ next(e_2,X1)
| ~ next(X2,e_2)
| ~ cycle(X1,X2)
| product(e_3,e_4,e_5)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_812,c_0_1198]),
[final] ).
cnf(c_0_2039,negated_conjecture,
( ~ next(e_2,X1)
| ~ next(X2,e_4)
| ~ cycle(X1,X2)
| product(e_3,e_4,e_5)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1055,c_0_1198]),
[final] ).
cnf(c_0_2040,negated_conjecture,
( ~ next(e_2,X1)
| ~ next(X2,e_5)
| ~ cycle(X1,X2)
| product(e_3,e_4,e_5)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_882,c_0_1198]),
[final] ).
cnf(c_0_2041,negated_conjecture,
( ~ next(e_2,X1)
| ~ next(X2,e_2)
| ~ cycle(X1,X2)
| product(e_3,e_5,e_1)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_812,c_0_1199]),
[final] ).
cnf(c_0_2042,negated_conjecture,
( ~ next(e_2,X1)
| ~ next(X2,e_4)
| ~ cycle(X1,X2)
| product(e_3,e_5,e_1)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1055,c_0_1199]),
[final] ).
cnf(c_0_2043,negated_conjecture,
( ~ next(e_2,X1)
| ~ next(X2,e_5)
| ~ cycle(X1,X2)
| product(e_3,e_5,e_1)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_882,c_0_1199]),
[final] ).
cnf(c_0_2044,negated_conjecture,
( ~ next(e_2,X1)
| ~ next(X2,e_2)
| ~ cycle(X1,X2)
| product(e_3,e_2,e_4)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_812,c_0_1200]),
[final] ).
cnf(c_0_2045,negated_conjecture,
( ~ next(e_2,X1)
| ~ next(X2,e_4)
| ~ cycle(X1,X2)
| product(e_3,e_2,e_4)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1055,c_0_1200]),
[final] ).
cnf(c_0_2046,negated_conjecture,
( ~ next(e_2,X1)
| ~ next(X2,e_5)
| ~ cycle(X1,X2)
| product(e_3,e_2,e_4)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_882,c_0_1200]),
[final] ).
cnf(c_0_2047,negated_conjecture,
( ~ next(e_2,X1)
| ~ next(X2,e_2)
| ~ cycle(X1,X2)
| product(e_3,e_5,e_4)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_812,c_0_1201]),
[final] ).
cnf(c_0_2048,negated_conjecture,
( ~ next(e_2,X1)
| ~ next(X2,e_4)
| ~ cycle(X1,X2)
| product(e_3,e_5,e_4)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_1055,c_0_1201]),
[final] ).
cnf(c_0_2049,negated_conjecture,
( ~ next(e_2,X1)
| ~ next(X2,e_5)
| ~ cycle(X1,X2)
| product(e_3,e_5,e_4)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_882,c_0_1201]),
[final] ).
cnf(c_0_2050,negated_conjecture,
( ~ next(e_2,X1)
| ~ next(X2,e_2)
| ~ cycle(X1,X2)
| product(e_2,e_4,e_1)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_812,c_0_1202]),
[final] ).
cnf(c_0_2051,negated_conjecture,
( ~ next(e_2,X1)
| ~ next(X2,e_4)
| ~ cycle(X1,X2)
| product(e_2,e_4,e_1)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1055,c_0_1202]),
[final] ).
cnf(c_0_2052,negated_conjecture,
( ~ next(e_2,X1)
| ~ next(X2,e_5)
| ~ cycle(X1,X2)
| product(e_2,e_4,e_1)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_882,c_0_1202]),
[final] ).
cnf(c_0_2053,negated_conjecture,
( ~ next(e_2,X1)
| ~ next(X2,e_2)
| ~ cycle(X1,X2)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_812,c_0_1203]),
[final] ).
cnf(c_0_2054,negated_conjecture,
( ~ next(e_2,X1)
| ~ next(X2,e_4)
| ~ cycle(X1,X2)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1055,c_0_1203]),
[final] ).
cnf(c_0_2055,negated_conjecture,
( ~ next(e_2,X1)
| ~ next(X2,e_5)
| ~ cycle(X1,X2)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_882,c_0_1203]),
[final] ).
cnf(c_0_2056,negated_conjecture,
( ~ next(e_2,X1)
| ~ next(X2,e_2)
| ~ cycle(X1,X2)
| product(e_3,e_4,e_5)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_812,c_0_1204]),
[final] ).
cnf(c_0_2057,negated_conjecture,
( ~ next(e_2,X1)
| ~ next(X2,e_4)
| ~ cycle(X1,X2)
| product(e_3,e_4,e_5)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1055,c_0_1204]),
[final] ).
cnf(c_0_2058,negated_conjecture,
( ~ next(e_2,X1)
| ~ next(X2,e_5)
| ~ cycle(X1,X2)
| product(e_3,e_4,e_5)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_882,c_0_1204]),
[final] ).
cnf(c_0_2059,negated_conjecture,
( ~ next(e_2,X1)
| ~ next(X2,e_2)
| ~ cycle(X1,X2)
| product(e_3,e_5,e_1)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_812,c_0_1205]),
[final] ).
cnf(c_0_2060,negated_conjecture,
( ~ next(e_2,X1)
| ~ next(X2,e_4)
| ~ cycle(X1,X2)
| product(e_3,e_5,e_1)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1055,c_0_1205]),
[final] ).
cnf(c_0_2061,negated_conjecture,
( ~ next(e_2,X1)
| ~ next(X2,e_5)
| ~ cycle(X1,X2)
| product(e_3,e_5,e_1)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_882,c_0_1205]),
[final] ).
cnf(c_0_2062,negated_conjecture,
( ~ next(e_2,X1)
| ~ next(X2,e_2)
| ~ cycle(X1,X2)
| product(e_3,e_5,e_1)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_812,c_0_1206]),
[final] ).
cnf(c_0_2063,negated_conjecture,
( ~ next(e_2,X1)
| ~ next(X2,e_4)
| ~ cycle(X1,X2)
| product(e_3,e_5,e_1)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_1055,c_0_1206]),
[final] ).
cnf(c_0_2064,negated_conjecture,
( ~ next(e_2,X1)
| ~ next(X2,e_5)
| ~ cycle(X1,X2)
| product(e_3,e_5,e_1)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_882,c_0_1206]),
[final] ).
cnf(c_0_2065,negated_conjecture,
( ~ next(e_2,X1)
| ~ next(X2,e_2)
| ~ cycle(X1,X2)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_812,c_0_1207]),
[final] ).
cnf(c_0_2066,negated_conjecture,
( ~ next(e_2,X1)
| ~ next(X2,e_4)
| ~ cycle(X1,X2)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_1055,c_0_1207]),
[final] ).
cnf(c_0_2067,negated_conjecture,
( ~ next(e_2,X1)
| ~ next(X2,e_5)
| ~ cycle(X1,X2)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_882,c_0_1207]),
[final] ).
cnf(c_0_2068,negated_conjecture,
( ~ next(e_2,X1)
| ~ next(X2,e_2)
| ~ cycle(X1,X2)
| product(e_3,e_5,e_4)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_812,c_0_1208]),
[final] ).
cnf(c_0_2069,negated_conjecture,
( ~ next(e_2,X1)
| ~ next(X2,e_4)
| ~ cycle(X1,X2)
| product(e_3,e_5,e_4)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_1055,c_0_1208]),
[final] ).
cnf(c_0_2070,negated_conjecture,
( ~ next(e_2,X1)
| ~ next(X2,e_5)
| ~ cycle(X1,X2)
| product(e_3,e_5,e_4)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_882,c_0_1208]),
[final] ).
cnf(c_0_2071,negated_conjecture,
( ~ next(e_2,X1)
| ~ next(X2,e_2)
| ~ cycle(X1,X2)
| product(e_3,e_5,e_4)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_812,c_0_1209]),
[final] ).
cnf(c_0_2072,negated_conjecture,
( ~ next(e_2,X1)
| ~ next(X2,e_4)
| ~ cycle(X1,X2)
| product(e_3,e_5,e_4)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_1055,c_0_1209]),
[final] ).
cnf(c_0_2073,negated_conjecture,
( ~ next(e_2,X1)
| ~ next(X2,e_5)
| ~ cycle(X1,X2)
| product(e_3,e_5,e_4)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_882,c_0_1209]),
[final] ).
cnf(c_0_2074,negated_conjecture,
( ~ next(e_2,X1)
| ~ next(X2,e_2)
| ~ cycle(X1,X2)
| product(e_3,e_5,e_4)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_812,c_0_1210]),
[final] ).
cnf(c_0_2075,negated_conjecture,
( ~ next(e_2,X1)
| ~ next(X2,e_4)
| ~ cycle(X1,X2)
| product(e_3,e_5,e_4)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_1055,c_0_1210]),
[final] ).
cnf(c_0_2076,negated_conjecture,
( ~ next(e_2,X1)
| ~ next(X2,e_5)
| ~ cycle(X1,X2)
| product(e_3,e_5,e_4)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_882,c_0_1210]),
[final] ).
cnf(c_0_2077,negated_conjecture,
( ~ product(e_1,e_5,X1)
| product(X1,e_2,e_5)
| product(e_2,e_5,e_1)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_144,c_0_1709]),
[final] ).
cnf(c_0_2078,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_3,e_5,e_4)
| product(e_1,e_2,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1710,c_0_930]),c_0_898]),
[final] ).
cnf(c_0_2079,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_2,e_4,e_1)
| product(e_5,e_1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_1711]),c_0_647])]),
[final] ).
cnf(c_0_2080,negated_conjecture,
( ~ product(e_4,e_5,X1)
| product(X1,e_3,e_5)
| product(e_2,e_5,e_1)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_144,c_0_1712]),
[final] ).
cnf(c_0_2081,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_4,e_5,e_1)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1508,c_0_1075]),
[final] ).
cnf(c_0_2082,negated_conjecture,
( ~ product(e_4,e_5,X1)
| product(X1,e_3,e_5)
| product(e_2,e_5,e_1)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_144,c_0_1713]),
[final] ).
cnf(c_0_2083,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_4,e_5,e_1)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1507,c_0_1076]),
[final] ).
cnf(c_0_2084,negated_conjecture,
( ~ product(e_4,e_5,X1)
| product(X1,e_3,e_5)
| product(e_2,e_5,e_1)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_144,c_0_1714]),
[final] ).
cnf(c_0_2085,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_4,e_5,e_1)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1509,c_0_1074]),
[final] ).
cnf(c_0_2086,negated_conjecture,
( ~ product(e_4,e_5,X1)
| product(X1,e_3,e_5)
| product(e_2,e_5,e_1)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_144,c_0_1715]),
[final] ).
cnf(c_0_2087,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_2,e_5,e_1)
| product(e_1,e_2,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1716,c_0_930]),c_0_1077]),
[final] ).
cnf(c_0_2088,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_4,e_2,e_1)
| product(e_1,e_2,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1717,c_0_930]),c_0_1232]),
[final] ).
cnf(c_0_2089,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_4,e_2,e_1)
| product(e_1,e_2,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1718,c_0_930]),c_0_1017]),
[final] ).
cnf(c_0_2090,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_4,e_2,e_1)
| product(e_1,e_2,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1719,c_0_930]),c_0_1720]),
[final] ).
cnf(c_0_2091,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_5,e_2,e_3)
| product(e_1,e_2,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1721,c_0_930]),c_0_1350]),
[final] ).
cnf(c_0_2092,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_3,e_5,e_4)
| product(e_1,e_2,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1722,c_0_930]),c_0_849]),
[final] ).
cnf(c_0_2093,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_2,e_3,e_4)
| product(e_1,e_2,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1723,c_0_930]),c_0_1071]),
[final] ).
cnf(c_0_2094,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_5,e_2,e_3)
| product(e_1,e_2,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1724,c_0_930]),c_0_1352]),
[final] ).
cnf(c_0_2095,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_5,e_2,e_3)
| product(e_1,e_2,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1725,c_0_930]),c_0_914]),
[final] ).
cnf(c_0_2096,negated_conjecture,
( ~ product(e_5,e_4,X1)
| ~ product(e_3,e_1,e_4)
| product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_144,c_0_1234]),
[final] ).
cnf(c_0_2097,negated_conjecture,
( ~ product(e_5,e_4,X1)
| ~ product(e_3,e_5,e_2)
| product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_144,c_0_1023]),
[final] ).
cnf(c_0_2098,negated_conjecture,
( ~ product(e_5,e_4,X1)
| ~ product(e_2,e_3,e_1)
| product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_144,c_0_1236]),
[final] ).
cnf(c_0_2099,negated_conjecture,
( ~ product(e_1,e_3,X1)
| product(X1,e_4,e_3)
| product(e_2,e_5,e_1)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_1377,c_0_1535]),
[final] ).
cnf(c_0_2100,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_2,e_3,e_5)
| product(e_1,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_1726,c_0_1727]),
[final] ).
cnf(c_0_2101,negated_conjecture,
( ~ product(e_1,e_5,X1)
| product(X1,e_2,e_5)
| product(e_2,e_3,e_4)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_144,c_0_1728]),
[final] ).
cnf(c_0_2102,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_1,e_3,e_5)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_916,c_0_1729]),
[final] ).
cnf(c_0_2103,negated_conjecture,
( ~ product(e_3,e_1,X1)
| product(X1,e_5,e_1)
| product(e_4,e_5,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_1505]),c_0_1385]),
[final] ).
cnf(c_0_2105,negated_conjecture,
( ~ product(e_2,e_1,X1)
| ~ product(e_3,e_1,e_4)
| product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_144,c_0_1731]),
[final] ).
cnf(c_0_2106,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_1,e_3,e_5)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_916,c_0_1732]),
[final] ).
cnf(c_0_2107,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_1,e_3,e_5)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_916,c_0_1733]),
[final] ).
cnf(c_0_2108,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_1,e_3,e_5)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_916,c_0_1734]),
[final] ).
cnf(c_0_2109,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_1,e_3,e_5)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_916,c_0_1735]),
[final] ).
cnf(c_0_2110,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_3,e_1,e_4)
| product(e_5,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_1736,c_0_776]),
[final] ).
cnf(c_0_2111,negated_conjecture,
( ~ product(e_5,e_1,e_2)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_234,c_0_1393]),
[final] ).
cnf(c_0_2112,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_1737,c_0_679]),
[final] ).
cnf(c_0_2113,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_2,e_5,e_1)
| product(e_1,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_1738,c_0_1489]),
[final] ).
cnf(c_0_2114,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_2,e_3,e_1)
| product(e_1,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_1739,c_0_1740]),
[final] ).
cnf(c_0_2116,plain,
( ~ next(e_5,X1)
| ~ greater(e_2,X2)
| ~ cycle(X1,X2)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_1515,c_0_1677]),
[final] ).
cnf(c_0_2117,plain,
( ~ greater(X1,e_3)
| ~ product(e_3,e_1,X1)
| ~ product(e_3,e_1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_1038]),c_0_143]),c_0_103])]),
[final] ).
cnf(c_0_2118,plain,
( ~ next(e_2,X1)
| ~ next(X2,e_1)
| ~ cycle(X1,X2)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_939,c_0_1278]),
[final] ).
cnf(c_0_2123,plain,
( ~ next(e_5,e_5)
| ~ greater(X1,e_3)
| ~ product(e_3,e_1,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1745,c_0_984]),c_0_143])]),
[final] ).
cnf(c_0_2124,negated_conjecture,
( ~ product(e_3,e_5,e_2)
| cycle(e_2,e_0)
| cycle(e_2,e_3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1070,c_0_608]),c_0_1072])]),
[final] ).
cnf(c_0_2129,negated_conjecture,
( ~ product(e_3,e_1,e_4)
| product(e_5,e_2,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1749,c_0_1234]),c_0_1506]),
[final] ).
cnf(c_0_2130,negated_conjecture,
( ~ product(e_3,e_5,e_2)
| product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_1750,c_0_679]),
[final] ).
cnf(c_0_2131,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_5,e_2)
| product(e_1,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_1751,c_0_1082]),
[final] ).
cnf(c_0_2132,negated_conjecture,
( ~ product(e_1,e_5,X1)
| product(X1,e_4,e_5)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_144,c_0_1516]),
[final] ).
cnf(c_0_2133,negated_conjecture,
( ~ product(e_1,e_4,e_2)
| product(e_3,e_5,e_2)
| product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_228,c_0_1752]),
[final] ).
cnf(c_0_2134,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_3,e_5,e_4)
| product(e_1,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_1753,c_0_1517]),
[final] ).
cnf(c_0_2135,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_3,e_5,e_2)
| product(e_1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_1754,c_0_1755]),
[final] ).
cnf(c_0_2136,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_2,e_3,e_5)
| product(e_1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_1452,c_0_1756]),
[final] ).
cnf(c_0_2137,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_3,e_4,e_5)
| product(e_1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_1757,c_0_1758]),
[final] ).
cnf(c_0_2138,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_1)
| product(e_1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_1759,c_0_1760]),
[final] ).
cnf(c_0_2139,negated_conjecture,
( ~ product(e_3,e_5,X1)
| ~ product(e_4,e_2,e_1)
| product(X1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_1761,c_0_924]),
[final] ).
cnf(c_0_2140,negated_conjecture,
( ~ product(e_3,e_5,X1)
| ~ product(e_2,e_5,e_1)
| product(X1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_144,c_0_1459]),
[final] ).
cnf(c_0_2141,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_1088,c_0_1478]),
[final] ).
cnf(c_0_2142,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_2,e_3,e_1)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_1088,c_0_667]),
[final] ).
cnf(c_0_2143,negated_conjecture,
( ~ product(e_5,e_4,e_3)
| product(e_2,e_4,e_1)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_127,c_0_1526]),
[final] ).
cnf(c_0_2144,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_4,e_1)
| product(e_5,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_1762,c_0_776]),
[final] ).
cnf(c_0_2145,negated_conjecture,
( ~ product(e_5,e_4,e_3)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_127,c_0_1527]),
[final] ).
cnf(c_0_2146,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_3,e_2,e_4)
| product(e_5,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_1763,c_0_776]),
[final] ).
cnf(c_0_2147,negated_conjecture,
( ~ product(e_5,e_4,e_3)
| product(e_2,e_4,e_1)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_127,c_0_1528]),
[final] ).
cnf(c_0_2148,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_2,e_4,e_1)
| product(e_5,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_1764,c_0_776]),
[final] ).
cnf(c_0_2149,negated_conjecture,
( ~ product(e_5,e_4,e_3)
| product(e_3,e_5,e_2)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_127,c_0_1529]),
[final] ).
cnf(c_0_2150,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_3,e_5,e_2)
| product(e_5,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_1765,c_0_776]),
[final] ).
cnf(c_0_2151,negated_conjecture,
( ~ product(e_1,e_5,X1)
| product(X1,e_2,e_5)
| product(e_4,e_3,e_1)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_144,c_0_1766]),
[final] ).
cnf(c_0_2152,negated_conjecture,
( ~ product(e_2,e_5,X1)
| product(X1,e_3,e_5)
| product(e_2,e_4,e_1)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_943,c_0_1017]),
[final] ).
cnf(c_0_2153,negated_conjecture,
( ~ product(e_2,e_5,X1)
| product(X1,e_3,e_5)
| product(e_3,e_5,e_2)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_943,c_0_1767]),
[final] ).
cnf(c_0_2154,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_2,e_3,e_5)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1768,c_0_592]),
[final] ).
cnf(c_0_2155,negated_conjecture,
( ~ product(e_2,e_5,X1)
| product(X1,e_3,e_5)
| product(e_3,e_5,e_2)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_943,c_0_1059]),
[final] ).
cnf(c_0_2156,negated_conjecture,
( ~ product(e_2,e_5,X1)
| product(X1,e_3,e_5)
| product(e_3,e_1,e_4)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_943,c_0_1016]),
[final] ).
cnf(c_0_2157,negated_conjecture,
( ~ product(e_2,e_5,X1)
| product(X1,e_3,e_5)
| product(e_3,e_5,e_2)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_943,c_0_1289]),
[final] ).
cnf(c_0_2158,negated_conjecture,
( ~ product(e_2,e_5,X1)
| product(X1,e_3,e_5)
| product(e_3,e_1,e_4)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_943,c_0_1014]),
[final] ).
cnf(c_0_2159,negated_conjecture,
( ~ product(e_2,e_5,X1)
| product(X1,e_3,e_5)
| product(e_3,e_1,e_4)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_943,c_0_1015]),
[final] ).
cnf(c_0_2160,negated_conjecture,
( ~ product(e_2,e_5,X1)
| product(X1,e_3,e_5)
| product(e_2,e_3,e_1)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_943,c_0_1769]),
[final] ).
cnf(c_0_2161,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_2,e_5,e_1)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_1181,c_0_1770]),
[final] ).
cnf(c_0_2162,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_3,e_1,e_4)
| product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_1181,c_0_970]),
[final] ).
cnf(c_0_2163,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_4,e_3,e_1)
| product(e_5,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_1771,c_0_759]),
[final] ).
cnf(c_0_2164,negated_conjecture,
( ~ product(e_1,e_5,X1)
| product(X1,e_2,e_5)
| product(e_5,e_4,e_2)
| product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_144,c_0_1064]),
[final] ).
cnf(c_0_2165,negated_conjecture,
( ~ product(e_4,e_5,X1)
| ~ product(e_4,e_2,e_1)
| product(X1,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_1772,c_0_924]),
[final] ).
cnf(c_0_2166,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_3,e_1,e_4)
| product(e_5,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_1773,c_0_908]),
[final] ).
cnf(c_0_2167,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_4,e_5,e_3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_1774]),c_0_76])]),
[final] ).
cnf(c_0_2168,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_2,e_3,e_1)
| product(e_1,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_1775,c_0_1298]),
[final] ).
cnf(c_0_2169,negated_conjecture,
( ~ product(e_1,e_5,X1)
| product(X1,e_2,e_5)
| product(e_2,e_3,e_4)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_144,c_0_1776]),
[final] ).
cnf(c_0_2170,negated_conjecture,
( ~ product(e_1,e_5,X1)
| product(X1,e_2,e_5)
| product(e_2,e_4,e_1)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_144,c_0_1777]),
[final] ).
cnf(c_0_2171,negated_conjecture,
( ~ product(e_1,e_5,X1)
| product(X1,e_2,e_5)
| product(e_3,e_2,e_4)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_144,c_0_1172]),
[final] ).
cnf(c_0_2172,negated_conjecture,
( ~ product(e_1,e_5,X1)
| product(X1,e_2,e_5)
| product(e_3,e_4,e_5)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_144,c_0_1778]),
[final] ).
cnf(c_0_2173,negated_conjecture,
( ~ product(e_1,e_5,X1)
| product(X1,e_2,e_5)
| product(e_2,e_3,e_5)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_144,c_0_1779]),
[final] ).
cnf(c_0_2174,negated_conjecture,
( ~ product(e_1,e_5,X1)
| product(X1,e_2,e_5)
| product(e_2,e_3,e_4)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_144,c_0_1212]),
[final] ).
cnf(c_0_2175,negated_conjecture,
( ~ product(e_1,e_5,X1)
| product(X1,e_2,e_5)
| product(e_5,e_4,e_2)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_144,c_0_1780]),
[final] ).
cnf(c_0_2176,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_5,e_3,e_4)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_1781,c_0_516]),
[final] ).
cnf(c_0_2177,negated_conjecture,
( ~ product(e_5,e_3,X1)
| ~ product(e_3,e_2,e_4)
| product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_144,c_0_1782]),
[final] ).
cnf(c_0_2178,negated_conjecture,
( ~ product(e_4,e_5,X1)
| ~ product(e_2,e_5,e_1)
| product(X1,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_144,c_0_1280]),
[final] ).
cnf(c_0_2179,negated_conjecture,
( ~ product(e_5,e_1,X1)
| ~ product(e_2,e_5,e_1)
| product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_144,c_0_1167]),
[final] ).
cnf(c_0_2183,negated_conjecture,
( ~ product(e_5,e_3,X1)
| product(X1,e_1,e_3)
| product(e_3,e_5,e_4)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_144,c_0_1357]),
[final] ).
cnf(c_0_2184,negated_conjecture,
( ~ product(e_5,e_3,X1)
| product(X1,e_1,e_3)
| product(e_3,e_5,e_4)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_144,c_0_1517]),
[final] ).
cnf(c_0_2185,negated_conjecture,
( product(e_5,e_3,e_1)
| product(e_3,e_5,e_2)
| product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_1403,c_0_1785]),
[final] ).
cnf(c_0_2186,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_2,e_3,e_1)
| product(e_5,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_1532,c_0_776]),
[final] ).
cnf(c_0_2187,negated_conjecture,
( ~ product(e_4,e_3,e_1)
| ~ product(e_5,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_762,c_0_1786]),
[final] ).
cnf(c_0_2188,negated_conjecture,
( ~ product(e_3,e_5,e_2)
| product(e_5,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_1024,c_0_821]),
[final] ).
cnf(c_0_2189,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_5,e_2,e_1) ),
inference(sr,[status(thm)],[c_0_1787,c_0_757]),
[final] ).
cnf(c_0_2190,negated_conjecture,
( ~ product(e_3,e_5,e_1)
| product(e_5,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_1173,c_0_1097]),
[final] ).
cnf(c_0_2191,negated_conjecture,
( product(e_5,e_3,e_1)
| product(e_4,e_2,e_3) ),
inference(sr,[status(thm)],[c_0_1788,c_0_757]),
[final] ).
cnf(c_0_2196,negated_conjecture,
( ~ product(e_4,e_5,e_3)
| ~ product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_179,c_0_705]),
[final] ).
cnf(c_0_2197,negated_conjecture,
( ~ product(e_3,e_1,X1)
| ~ product(e_3,e_5,e_1)
| product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_144,c_0_1033]),
[final] ).
cnf(c_0_2198,negated_conjecture,
( ~ product(e_1,e_3,X1)
| product(X1,e_4,e_3)
| product(e_2,e_4,e_1)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_144,c_0_1071]),
[final] ).
cnf(c_0_2199,negated_conjecture,
( ~ product(e_2,e_5,X1)
| product(X1,e_3,e_5)
| product(e_2,e_4,e_1)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_943,c_0_1720]),
[final] ).
cnf(c_0_2200,negated_conjecture,
( ~ product(e_3,e_5,X1)
| ~ product(e_2,e_3,e_1)
| product(X1,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_144,c_0_1790]),
[final] ).
cnf(c_0_2201,negated_conjecture,
( ~ product(e_2,e_5,X1)
| product(X1,e_3,e_5)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_943,c_0_1791]),
[final] ).
cnf(c_0_2202,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_5,e_2)
| product(e_4,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_452,c_0_1135]),c_0_623]),
[final] ).
cnf(c_0_2203,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_3,e_5,e_2)
| product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_1792,c_0_690]),
[final] ).
cnf(c_0_2204,negated_conjecture,
( product(e_4,e_2,e_3)
| product(e_5,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_1793,c_0_759]),
[final] ).
cnf(c_0_2205,negated_conjecture,
( ~ product(e_5,e_4,e_3)
| product(e_2,e_3,e_5)
| product(e_3,e_5,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1794,c_0_745]),c_0_628]),
[final] ).
cnf(c_0_2206,negated_conjecture,
( ~ product(e_5,e_4,e_3)
| product(e_2,e_3,e_5)
| product(e_3,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1795,c_0_745]),c_0_628]),
[final] ).
cnf(c_0_2207,negated_conjecture,
( ~ product(e_5,e_4,e_3)
| product(e_2,e_3,e_5)
| product(e_2,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1796,c_0_745]),c_0_628]),
[final] ).
cnf(c_0_2208,negated_conjecture,
( ~ product(e_3,e_2,e_4)
| ~ product(e_5,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_1797,c_0_1174]),
[final] ).
cnf(c_0_2209,negated_conjecture,
( ~ product(e_5,e_4,X1)
| product(X1,e_3,e_4)
| product(e_3,e_1,e_4)
| product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_144,c_0_524]),
[final] ).
cnf(c_0_2210,negated_conjecture,
~ product(e_3,e_3,e_4),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_513]),c_0_250]),c_0_251]),
[final] ).
cnf(c_0_2211,negated_conjecture,
( ~ product(e_5,e_2,e_3)
| ~ product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_1024,c_0_870]),
[final] ).
cnf(c_0_2212,negated_conjecture,
( ~ product(e_5,e_4,e_2)
| product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_127,c_0_1131]),
[final] ).
cnf(c_0_2213,negated_conjecture,
( ~ product(e_5,e_4,X1)
| product(X1,e_2,e_4)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_1798,c_0_1554]),
[final] ).
cnf(c_0_2214,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_3,e_1,e_4)
| product(e_5,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_1799,c_0_1246]),
[final] ).
cnf(c_0_2215,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_2,e_3,e_1)
| product(e_5,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_1800,c_0_1246]),
[final] ).
cnf(c_0_2216,negated_conjecture,
( ~ product(e_1,e_5,X1)
| product(X1,e_2,e_5)
| product(e_2,e_3,e_4)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_144,c_0_1801]),
[final] ).
cnf(c_0_2217,negated_conjecture,
( product(e_1,e_5,e_3)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_1) ),
inference(sr,[status(thm)],[c_0_1242,c_0_628]),
[final] ).
cnf(c_0_2218,negated_conjecture,
( product(e_5,e_1,e_2)
| product(e_3,e_5,e_1)
| product(e_3,e_5,e_4) ),
inference(sr,[status(thm)],[c_0_1802,c_0_628]),
[final] ).
cnf(c_0_2219,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_4,e_2,e_1)
| product(e_4,e_5,e_2) ),
inference(sr,[status(thm)],[c_0_1803,c_0_628]),
[final] ).
cnf(c_0_2220,negated_conjecture,
( ~ product(e_1,e_5,X1)
| product(X1,e_2,e_5)
| product(e_4,e_5,e_2)
| product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_144,c_0_1360]),
[final] ).
cnf(c_0_2221,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_3,e_2,e_4)
| product(e_5,e_1,e_2) ),
inference(sr,[status(thm)],[c_0_557,c_0_628]),
[final] ).
cnf(c_0_2222,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_3,e_5,e_4)
| product(e_4,e_3,e_1) ),
inference(sr,[status(thm)],[c_0_1034,c_0_628]),
[final] ).
cnf(c_0_2223,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_5,e_1,e_2)
| product(e_4,e_3,e_1) ),
inference(sr,[status(thm)],[c_0_479,c_0_628]),
[final] ).
cnf(c_0_2224,negated_conjecture,
( ~ product(e_3,e_1,X1)
| ~ product(e_3,e_2,e_4)
| product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_144,c_0_851]),
[final] ).
cnf(c_0_2228,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_3,e_4,e_5)
| product(e_5,e_1,e_2) ),
inference(sr,[status(thm)],[c_0_422,c_0_628]),
[final] ).
cnf(c_0_2229,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_5,e_1,e_2)
| product(e_4,e_3,e_1) ),
inference(sr,[status(thm)],[c_0_207,c_0_628]),
[final] ).
cnf(c_0_2230,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_3,e_4,e_5)
| product(e_5,e_1,e_2) ),
inference(sr,[status(thm)],[c_0_789,c_0_628]),
[final] ).
cnf(c_0_2231,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_2,e_3,e_1)
| product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_1804,c_0_690]),
[final] ).
cnf(c_0_2232,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_4,e_2,e_1)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_1361,c_0_615]),
[final] ).
cnf(c_0_2233,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_3,e_5,e_4)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_489,c_0_615]),
[final] ).
cnf(c_0_2234,negated_conjecture,
( ~ product(e_3,e_1,e_2)
| product(e_5,e_4,e_2)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_159,c_0_1780]),
[final] ).
cnf(c_0_2235,negated_conjecture,
( ~ product(e_4,e_3,e_2)
| product(e_2,e_5,e_1)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_250,c_0_1770]),
[final] ).
cnf(c_0_2236,negated_conjecture,
( ~ product(e_3,e_5,e_2)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_93,c_0_696]),
[final] ).
cnf(c_0_2237,negated_conjecture,
( ~ product(e_4,e_3,e_2)
| product(e_2,e_3,e_1)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_179,c_0_1128]),
[final] ).
cnf(c_0_2238,negated_conjecture,
( ~ product(e_2,e_3,e_1)
| ~ product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_361,c_0_907]),
[final] ).
cnf(c_0_2239,negated_conjecture,
( ~ product(e_3,e_1,e_4)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_159,c_0_1805]),
[final] ).
cnf(c_0_2240,negated_conjecture,
( ~ product(e_2,e_5,e_1)
| ~ product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_762,c_0_1125]),
[final] ).
cnf(c_0_2241,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_5,e_1,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1806,c_0_578]),c_0_1807]),
[final] ).
cnf(c_0_2242,negated_conjecture,
( ~ product(e_4,e_2,e_1)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_723,c_0_953]),
[final] ).
cnf(c_0_2243,negated_conjecture,
( ~ product(e_4,e_1,X1)
| ~ product(e_3,e_5,e_1)
| product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_1567,c_0_1548]),
[final] ).
cnf(c_0_2244,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_1,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_1808,c_0_978]),
[final] ).
cnf(c_0_2245,negated_conjecture,
( ~ product(e_3,e_5,e_1)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_1809,c_0_1033]),
[final] ).
cnf(c_0_2246,negated_conjecture,
( ~ product(e_1,e_3,e_4)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_148,c_0_367]),
[final] ).
cnf(c_0_2247,negated_conjecture,
( ~ product(e_2,e_5,e_1)
| ~ product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_150,c_0_1810]),
[final] ).
cnf(c_0_2248,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_2,e_3,e_5)
| product(e_5,e_1,e_2) ),
inference(sr,[status(thm)],[c_0_1310,c_0_622]),
[final] ).
cnf(c_0_2249,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_5,e_3,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1811,c_0_503]),c_0_1026]),
[final] ).
cnf(c_0_2250,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_1,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_1812,c_0_1554]),
[final] ).
cnf(c_0_2251,negated_conjecture,
( ~ product(e_2,e_5,X1)
| product(X1,e_1,e_5)
| product(e_5,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_144,c_0_908]),
[final] ).
cnf(c_0_2252,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_723,c_0_1813]),
[final] ).
cnf(c_0_2253,negated_conjecture,
( ~ product(e_3,e_2,e_5)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_723,c_0_1009]),
[final] ).
cnf(c_0_2254,negated_conjecture,
( product(e_5,e_1,e_4)
| product(e_4,e_3,e_2) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1814,c_0_1271]),c_0_1815]),c_0_946]),c_0_1816]),
[final] ).
cnf(c_0_2255,negated_conjecture,
( product(e_4,e_2,e_3)
| product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_1558,c_0_679]),
[final] ).
cnf(c_0_2256,negated_conjecture,
( ~ product(e_2,e_5,X1)
| ~ product(e_2,e_4,e_1)
| product(X1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_144,c_0_1817]),
[final] ).
cnf(c_0_2257,negated_conjecture,
( ~ product(e_3,e_4,X1)
| ~ product(e_4,e_2,e_1)
| product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_144,c_0_953]),
[final] ).
cnf(c_0_2258,negated_conjecture,
( ~ product(e_2,e_3,e_1)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_1818,c_0_1819]),
[final] ).
cnf(c_0_2259,negated_conjecture,
( ~ product(e_2,e_3,e_5)
| product(e_3,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_956,c_0_660]),c_0_302]),
[final] ).
cnf(c_0_2260,negated_conjecture,
( ~ product(e_4,e_2,e_1)
| ~ product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_1820,c_0_953]),
[final] ).
cnf(c_0_2261,negated_conjecture,
( ~ product(e_1,e_3,X1)
| product(X1,e_4,e_3)
| product(e_2,e_3,e_4)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_1377,c_0_1397]),
[final] ).
cnf(c_0_2263,negated_conjecture,
( ~ product(e_3,e_4,X1)
| ~ product(e_3,e_2,e_5)
| product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_144,c_0_1009]),
[final] ).
cnf(c_0_2264,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_4,e_3,e_2) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_635,c_0_986]),c_0_637]),c_0_638]),
[final] ).
cnf(c_0_2267,negated_conjecture,
( ~ product(e_2,e_4,X1)
| ~ product(e_3,e_2,e_4)
| product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_144,c_0_1823]),
[final] ).
cnf(c_0_2268,plain,
( ~ product(e_5,e_3,e_4)
| product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_1824,c_0_679]),
[final] ).
cnf(c_0_2269,negated_conjecture,
( ~ product(e_5,e_4,X1)
| ~ product(e_2,e_4,e_1)
| product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_1825,c_0_912]),
[final] ).
cnf(c_0_2270,negated_conjecture,
( ~ product(e_4,e_1,X1)
| ~ product(e_2,e_4,e_1)
| product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_1826,c_0_912]),
[final] ).
cnf(c_0_2271,negated_conjecture,
( ~ product(e_3,e_4,X1)
| ~ product(e_2,e_4,e_1)
| product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_1185,c_0_912]),
[final] ).
cnf(c_0_2272,negated_conjecture,
( ~ product(e_2,e_3,X1)
| ~ product(e_2,e_4,e_1)
| product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_144,c_0_912]),
[final] ).
cnf(c_0_2273,negated_conjecture,
( ~ product(e_3,e_5,X1)
| ~ product(e_2,e_4,e_1)
| product(X1,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_144,c_0_1319]),
[final] ).
cnf(c_0_2274,negated_conjecture,
( ~ product(e_5,e_3,X1)
| ~ product(e_2,e_4,e_1)
| product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_144,c_0_930]),
[final] ).
cnf(c_0_2275,negated_conjecture,
( ~ product(e_2,e_3,e_5)
| product(e_3,e_5,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1537,c_0_1827]),c_0_861]),
[final] ).
cnf(c_0_2276,negated_conjecture,
( ~ product(e_2,e_4,e_1)
| product(e_1,e_3,e_4) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_824,c_0_1828]),c_0_637]),c_0_638]),c_0_228]),
[final] ).
cnf(c_0_2277,negated_conjecture,
( ~ product(e_2,e_5,e_1)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_988,c_0_1125]),
[final] ).
cnf(c_0_2278,negated_conjecture,
( ~ product(e_2,e_4,X1)
| ~ product(e_2,e_5,e_1)
| product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_144,c_0_1125]),
[final] ).
cnf(c_0_2279,negated_conjecture,
( product(e_4,e_2,e_3)
| product(e_3,e_2,e_5) ),
inference(sr,[status(thm)],[c_0_1829,c_0_628]),
[final] ).
cnf(c_0_2280,negated_conjecture,
( product(e_5,e_3,e_2)
| product(e_3,e_2,e_5) ),
inference(sr,[status(thm)],[c_0_612,c_0_628]),
[final] ).
cnf(c_0_2281,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_2,e_3,e_5) ),
inference(sr,[status(thm)],[c_0_1830,c_0_628]),
[final] ).
cnf(c_0_2282,negated_conjecture,
( product(e_4,e_3,e_2)
| product(e_1,e_4,e_2) ),
inference(sr,[status(thm)],[c_0_1831,c_0_628]),
[final] ).
cnf(c_0_2283,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_1,e_4,e_2) ),
inference(sr,[status(thm)],[c_0_1832,c_0_628]),
[final] ).
cnf(c_0_2284,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_4,e_3,e_2) ),
inference(sr,[status(thm)],[c_0_969,c_0_628]),
[final] ).
cnf(c_0_2285,negated_conjecture,
( product(e_4,e_3,e_2)
| product(e_3,e_4,e_5) ),
inference(sr,[status(thm)],[c_0_999,c_0_628]),
[final] ).
cnf(c_0_2286,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_5,e_2,e_1) ),
inference(sr,[status(thm)],[c_0_639,c_0_628]),
[final] ).
cnf(c_0_2287,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_3,e_2,e_5) ),
inference(sr,[status(thm)],[c_0_828,c_0_628]),
[final] ).
cnf(c_0_2288,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_3,e_2,e_5) ),
inference(sr,[status(thm)],[c_0_808,c_0_628]),
[final] ).
cnf(c_0_2289,negated_conjecture,
( product(e_5,e_1,e_4)
| product(e_3,e_2,e_5) ),
inference(sr,[status(thm)],[c_0_528,c_0_628]),
[final] ).
cnf(c_0_2290,negated_conjecture,
( product(e_1,e_5,e_3)
| product(e_3,e_2,e_5) ),
inference(sr,[status(thm)],[c_0_765,c_0_628]),
[final] ).
cnf(c_0_2291,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_4,e_3,e_1) ),
inference(sr,[status(thm)],[c_0_500,c_0_628]),
[final] ).
cnf(c_0_2292,negated_conjecture,
( product(e_4,e_3,e_2)
| product(e_3,e_1,e_2) ),
inference(sr,[status(thm)],[c_0_441,c_0_628]),
[final] ).
cnf(c_0_2293,negated_conjecture,
( product(e_5,e_3,e_2)
| product(e_4,e_3,e_2) ),
inference(sr,[status(thm)],[c_0_355,c_0_628]),
[final] ).
cnf(c_0_2294,negated_conjecture,
( ~ product(e_1,e_5,X1)
| product(X1,e_2,e_5)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_144,c_0_926]),
[final] ).
cnf(c_0_2295,negated_conjecture,
( ~ product(e_1,e_3,X1)
| ~ product(e_3,e_2,e_4)
| product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_144,c_0_825]),
[final] ).
cnf(c_0_2296,negated_conjecture,
( ~ product(e_2,e_5,e_4)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_173,c_0_1523]),
[final] ).
cnf(c_0_2298,negated_conjecture,
( ~ product(e_4,e_1,X1)
| ~ product(e_3,e_5,e_2)
| product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_144,c_0_565]),
[final] ).
cnf(c_0_2299,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_1,e_5,e_3)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1833,c_0_493]),
[final] ).
cnf(c_0_2300,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_3,e_1,e_4)
| product(e_4,e_3,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_591,c_0_1834]),c_0_539]),
[final] ).
cnf(c_0_2302,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_3,e_1,e_2) ),
inference(sr,[status(thm)],[c_0_427,c_0_517]),
[final] ).
cnf(c_0_2304,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_1,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_1836,c_0_1837]),
[final] ).
cnf(c_0_2305,negated_conjecture,
( ~ product(e_5,e_4,e_2)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_127,c_0_1576]),
[final] ).
cnf(c_0_2306,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_5,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_1838,c_0_1194]),
[final] ).
cnf(c_0_2307,negated_conjecture,
( product(e_4,e_2,e_3)
| product(e_2,e_4,e_5) ),
inference(sr,[status(thm)],[c_0_1103,c_0_517]),
[final] ).
cnf(c_0_2308,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_2,e_4,e_5) ),
inference(sr,[status(thm)],[c_0_1069,c_0_517]),
[final] ).
cnf(c_0_2309,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_2,e_4,e_5) ),
inference(sr,[status(thm)],[c_0_1839,c_0_517]),
[final] ).
cnf(c_0_2311,negated_conjecture,
( ~ product(e_4,e_3,e_1)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_179,c_0_1841]),
[final] ).
cnf(c_0_2312,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_300,c_0_1841]),
[final] ).
cnf(c_0_2313,plain,
( ~ next(e_2,X1)
| ~ cycle(X1,e_1)
| cycle(e_2,e_0)
| cycle(e_2,e_2) ),
inference(spm,[status(thm)],[c_0_1842,c_0_835]),
[final] ).
cnf(c_0_2314,plain,
( ~ next(e_2,X1)
| ~ cycle(X1,e_4)
| cycle(e_2,e_0) ),
inference(spm,[status(thm)],[c_0_1843,c_0_903]),
[final] ).
cnf(c_0_2315,plain,
( ~ next(e_4,X1)
| ~ cycle(X1,e_1)
| cycle(e_4,e_0)
| cycle(e_4,e_2) ),
inference(spm,[status(thm)],[c_0_1844,c_0_835]),
[final] ).
cnf(c_0_2316,plain,
( ~ next(e_4,X1)
| ~ cycle(X1,e_4)
| cycle(e_4,e_0) ),
inference(spm,[status(thm)],[c_0_1845,c_0_903]),
[final] ).
cnf(c_0_2317,plain,
( ~ next(e_2,X1)
| ~ cycle(X1,e_3)
| cycle(e_2,e_0)
| cycle(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_1846,c_0_103]),
[final] ).
cnf(c_0_2318,plain,
( ~ next(e_1,X1)
| ~ greater(X4,X2)
| ~ greater(e_1,X3)
| ~ cycle(X3,X4)
| ~ cycle(X1,X2)
| cycle(e_1,e_2)
| cycle(e_1,e_3)
| cycle(e_1,e_4) ),
inference(spm,[status(thm)],[c_0_1255,c_0_1847]),
[final] ).
cnf(c_0_2319,plain,
( ~ next(e_5,X2)
| ~ greater(X1,X3)
| ~ cycle(X2,X3)
| ~ cycle(e_1,X1) ),
inference(spm,[status(thm)],[c_0_1329,c_0_1848]),
[final] ).
cnf(c_0_2320,plain,
( ~ greater(X1,e_1)
| ~ product(e_1,e_1,X1)
| cycle(e_1,e_2)
| cycle(e_1,e_3)
| cycle(e_1,e_4) ),
inference(spm,[status(thm)],[c_0_107,c_0_1847]),
[final] ).
cnf(c_0_2321,axiom,
greater(e_5,e_0),
e_5_greater_e_0,
[final] ).
cnf(c_0_2322,plain,
( ~ next(X1,e_1)
| ~ greater(X2,e_0)
| ~ cycle(X1,X2)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_70]),
[final] ).
cnf(c_0_2323,plain,
( ~ next(X1,e_5)
| ~ greater(X2,e_0)
| ~ cycle(X1,X2)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_165,c_0_70]),
[final] ).
cnf(c_0_2324,negated_conjecture,
( ~ product(e_2,e_5,e_1)
| ~ product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_123,c_0_1167]),
[final] ).
cnf(c_0_2332,plain,
( ~ next(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_2,e_4)
| cycle(e_2,e_3)
| cycle(e_2,e_2)
| cycle(e_2,e_0)
| cycle(e_1,e_2)
| cycle(e_1,e_3)
| cycle(e_1,e_4) ),
inference(spm,[status(thm)],[c_0_1851,c_0_1847]),
[final] ).
cnf(c_0_2333,negated_conjecture,
( ~ next(e_5,e_4)
| cycle(e_4,e_4)
| cycle(e_4,e_3)
| product(e_2,e_3,e_4)
| product(e_2,e_4,e_1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1852,c_0_858]),c_0_1853]),c_0_1854]),
[final] ).
cnf(c_0_2334,negated_conjecture,
( ~ next(e_5,e_4)
| cycle(e_4,e_4)
| cycle(e_4,e_3)
| product(e_2,e_3,e_5)
| product(e_2,e_5,e_1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1855,c_0_858]),c_0_1856]),c_0_1857]),
[final] ).
cnf(c_0_2335,negated_conjecture,
( ~ next(e_5,e_4)
| cycle(e_4,e_4)
| cycle(e_4,e_3)
| product(e_3,e_4,e_5)
| product(e_2,e_5,e_1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1858,c_0_858]),c_0_1859]),c_0_1860]),
[final] ).
cnf(c_0_2336,negated_conjecture,
( ~ next(e_5,e_4)
| cycle(e_4,e_4)
| cycle(e_4,e_3)
| product(e_3,e_5,e_1)
| product(e_2,e_5,e_1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1861,c_0_858]),c_0_1862]),c_0_1863]),
[final] ).
cnf(c_0_2337,negated_conjecture,
( ~ next(e_5,e_4)
| cycle(e_4,e_4)
| cycle(e_4,e_3)
| product(e_3,e_2,e_4)
| product(e_2,e_5,e_1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1864,c_0_858]),c_0_1865]),c_0_1866]),
[final] ).
cnf(c_0_2338,negated_conjecture,
( ~ next(e_5,e_4)
| cycle(e_4,e_4)
| cycle(e_4,e_3)
| product(e_3,e_5,e_4)
| product(e_2,e_4,e_1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1867,c_0_858]),c_0_1868]),c_0_1869]),
[final] ).
cnf(c_0_2339,negated_conjecture,
( ~ next(e_5,e_4)
| cycle(e_4,e_4)
| cycle(e_4,e_3)
| product(e_2,e_4,e_1)
| product(e_2,e_5,e_1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1870,c_0_858]),c_0_1871]),c_0_1872]),
[final] ).
cnf(c_0_2340,negated_conjecture,
( ~ next(e_5,e_4)
| cycle(e_4,e_4)
| cycle(e_4,e_3)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_4) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1873,c_0_858]),c_0_1874]),c_0_1875]),
[final] ).
cnf(c_0_2341,negated_conjecture,
( ~ next(e_5,e_4)
| cycle(e_4,e_4)
| cycle(e_4,e_3)
| product(e_3,e_4,e_5)
| product(e_2,e_3,e_4) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1876,c_0_858]),c_0_1877]),c_0_1878]),
[final] ).
cnf(c_0_2342,negated_conjecture,
( ~ next(e_5,e_4)
| cycle(e_4,e_4)
| cycle(e_4,e_3)
| product(e_3,e_5,e_1)
| product(e_2,e_3,e_4) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1879,c_0_858]),c_0_1880]),c_0_1881]),
[final] ).
cnf(c_0_2343,negated_conjecture,
( ~ next(e_5,e_4)
| cycle(e_4,e_4)
| cycle(e_4,e_3)
| product(e_3,e_5,e_1)
| product(e_3,e_5,e_4) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1882,c_0_858]),c_0_1883]),c_0_1884]),
[final] ).
cnf(c_0_2344,negated_conjecture,
( ~ next(e_5,e_4)
| cycle(e_4,e_4)
| cycle(e_4,e_3)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1885,c_0_858]),c_0_1886]),c_0_1887]),
[final] ).
cnf(c_0_2345,negated_conjecture,
( ~ next(e_5,e_4)
| cycle(e_4,e_4)
| cycle(e_4,e_3)
| product(e_3,e_5,e_4)
| product(e_3,e_4,e_5) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1888,c_0_858]),c_0_1889]),c_0_1890]),
[final] ).
cnf(c_0_2346,negated_conjecture,
( ~ next(e_5,e_4)
| cycle(e_4,e_4)
| cycle(e_4,e_3)
| product(e_3,e_5,e_4)
| product(e_2,e_3,e_5) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1891,c_0_858]),c_0_1892]),c_0_1893]),
[final] ).
cnf(c_0_2347,negated_conjecture,
( ~ next(e_5,e_4)
| cycle(e_4,e_4)
| cycle(e_4,e_3)
| product(e_3,e_5,e_4)
| product(e_3,e_2,e_4) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1894,c_0_858]),c_0_1895]),c_0_1896]),
[final] ).
cnf(c_0_2348,plain,
( ~ next(e_3,e_1)
| ~ cycle(e_1,e_5)
| cycle(e_3,e_2)
| cycle(e_2,e_4)
| cycle(e_2,e_3)
| cycle(e_2,e_2)
| cycle(e_2,e_0) ),
inference(spm,[status(thm)],[c_0_1851,c_0_1897]),
[final] ).
cnf(c_0_2349,plain,
( ~ next(e_3,e_3)
| cycle(e_3,e_2)
| cycle(e_2,e_4)
| cycle(e_2,e_3)
| cycle(e_2,e_2)
| cycle(e_2,e_0) ),
inference(spm,[status(thm)],[c_0_1851,c_0_1007]),
[final] ).
cnf(c_0_2350,plain,
( ~ cycle(e_4,e_5)
| cycle(e_3,e_2)
| cycle(e_2,e_4)
| cycle(e_2,e_3)
| cycle(e_2,e_2)
| cycle(e_2,e_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1851,c_0_1789]),c_0_103])]),
[final] ).
cnf(c_0_2351,plain,
( ~ next(e_3,e_5)
| cycle(e_3,e_2)
| cycle(e_2,e_4)
| cycle(e_2,e_3)
| cycle(e_2,e_2)
| cycle(e_2,e_0) ),
inference(spm,[status(thm)],[c_0_1851,c_0_984]),
[final] ).
cnf(c_0_2352,negated_conjecture,
( ~ next(e_3,e_1)
| product(e_2,e_4,e_1)
| product(e_2,e_3,e_4) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1898,c_0_1847]),c_0_1899]),c_0_1900]),c_0_1901]),
[final] ).
cnf(c_0_2353,negated_conjecture,
( ~ next(e_5,e_1)
| cycle(e_1,e_3)
| cycle(e_1,e_4)
| product(e_2,e_3,e_4)
| product(e_2,e_4,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1853,c_0_1847]),c_0_1854]),
[final] ).
cnf(c_0_2354,negated_conjecture,
( ~ next(e_3,e_1)
| product(e_2,e_5,e_1)
| product(e_2,e_3,e_5) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1902,c_0_1847]),c_0_1903]),c_0_1904]),c_0_1905]),
[final] ).
cnf(c_0_2355,negated_conjecture,
( ~ next(e_5,e_1)
| cycle(e_1,e_3)
| cycle(e_1,e_4)
| product(e_2,e_3,e_5)
| product(e_2,e_5,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1856,c_0_1847]),c_0_1857]),
[final] ).
cnf(c_0_2356,negated_conjecture,
( ~ next(e_3,e_1)
| product(e_2,e_5,e_1)
| product(e_3,e_4,e_5) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1906,c_0_1847]),c_0_1907]),c_0_1908]),c_0_1909]),
[final] ).
cnf(c_0_2357,negated_conjecture,
( ~ next(e_5,e_1)
| cycle(e_1,e_3)
| cycle(e_1,e_4)
| product(e_3,e_4,e_5)
| product(e_2,e_5,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1859,c_0_1847]),c_0_1860]),
[final] ).
cnf(c_0_2358,negated_conjecture,
( ~ next(e_3,e_1)
| product(e_2,e_5,e_1)
| product(e_3,e_5,e_1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1910,c_0_1847]),c_0_1911]),c_0_1912]),c_0_1913]),
[final] ).
cnf(c_0_2359,negated_conjecture,
( ~ next(e_5,e_1)
| cycle(e_1,e_3)
| cycle(e_1,e_4)
| product(e_3,e_5,e_1)
| product(e_2,e_5,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1862,c_0_1847]),c_0_1863]),
[final] ).
cnf(c_0_2360,negated_conjecture,
( ~ next(e_3,e_1)
| product(e_2,e_5,e_1)
| product(e_3,e_2,e_4) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1914,c_0_1847]),c_0_1915]),c_0_1916]),c_0_1917]),
[final] ).
cnf(c_0_2361,negated_conjecture,
( ~ next(e_5,e_1)
| cycle(e_1,e_3)
| cycle(e_1,e_4)
| product(e_3,e_2,e_4)
| product(e_2,e_5,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1865,c_0_1847]),c_0_1866]),
[final] ).
cnf(c_0_2362,negated_conjecture,
( ~ next(e_3,e_1)
| product(e_2,e_4,e_1)
| product(e_3,e_5,e_4) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1918,c_0_1847]),c_0_1919]),c_0_1920]),c_0_1921]),
[final] ).
cnf(c_0_2363,negated_conjecture,
( ~ next(e_5,e_1)
| cycle(e_1,e_3)
| cycle(e_1,e_4)
| product(e_3,e_5,e_4)
| product(e_2,e_4,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1868,c_0_1847]),c_0_1869]),
[final] ).
cnf(c_0_2364,negated_conjecture,
( ~ next(e_3,e_1)
| product(e_2,e_5,e_1)
| product(e_2,e_4,e_1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1922,c_0_1847]),c_0_1923]),c_0_1924]),c_0_1925]),
[final] ).
cnf(c_0_2365,negated_conjecture,
( ~ next(e_5,e_1)
| cycle(e_1,e_3)
| cycle(e_1,e_4)
| product(e_2,e_4,e_1)
| product(e_2,e_5,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1871,c_0_1847]),c_0_1872]),
[final] ).
cnf(c_0_2366,negated_conjecture,
( ~ next(e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_3,e_2,e_4) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1926,c_0_1847]),c_0_1927]),c_0_1928]),c_0_1929]),
[final] ).
cnf(c_0_2367,negated_conjecture,
( ~ next(e_5,e_1)
| cycle(e_1,e_3)
| cycle(e_1,e_4)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1874,c_0_1847]),c_0_1875]),
[final] ).
cnf(c_0_2368,negated_conjecture,
( ~ next(e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_3,e_4,e_5) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1930,c_0_1847]),c_0_1931]),c_0_1932]),c_0_1933]),
[final] ).
cnf(c_0_2369,negated_conjecture,
( ~ next(e_5,e_1)
| cycle(e_1,e_3)
| cycle(e_1,e_4)
| product(e_3,e_4,e_5)
| product(e_2,e_3,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1877,c_0_1847]),c_0_1878]),
[final] ).
cnf(c_0_2370,negated_conjecture,
( ~ next(e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_3,e_5,e_1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1934,c_0_1847]),c_0_1935]),c_0_1936]),c_0_1937]),
[final] ).
cnf(c_0_2371,negated_conjecture,
( ~ next(e_5,e_1)
| cycle(e_1,e_3)
| cycle(e_1,e_4)
| product(e_3,e_5,e_1)
| product(e_2,e_3,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1880,c_0_1847]),c_0_1881]),
[final] ).
cnf(c_0_2372,negated_conjecture,
( ~ next(e_3,e_1)
| product(e_3,e_5,e_4)
| product(e_3,e_5,e_1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1938,c_0_1847]),c_0_1939]),c_0_1940]),c_0_1941]),
[final] ).
cnf(c_0_2373,negated_conjecture,
( ~ next(e_5,e_1)
| cycle(e_1,e_3)
| cycle(e_1,e_4)
| product(e_3,e_5,e_1)
| product(e_3,e_5,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1883,c_0_1847]),c_0_1884]),
[final] ).
cnf(c_0_2374,negated_conjecture,
( ~ next(e_3,e_1)
| product(e_2,e_3,e_5)
| product(e_2,e_3,e_4) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1942,c_0_1847]),c_0_1943]),c_0_1944]),c_0_1945]),
[final] ).
cnf(c_0_2375,negated_conjecture,
( ~ next(e_5,e_1)
| cycle(e_1,e_3)
| cycle(e_1,e_4)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1886,c_0_1847]),c_0_1887]),
[final] ).
cnf(c_0_2376,negated_conjecture,
( ~ next(e_3,e_1)
| product(e_3,e_4,e_5)
| product(e_3,e_5,e_4) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1946,c_0_1847]),c_0_1947]),c_0_1948]),c_0_1949]),
[final] ).
cnf(c_0_2377,negated_conjecture,
( ~ next(e_5,e_1)
| cycle(e_1,e_3)
| cycle(e_1,e_4)
| product(e_3,e_5,e_4)
| product(e_3,e_4,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1889,c_0_1847]),c_0_1890]),
[final] ).
cnf(c_0_2378,negated_conjecture,
( ~ next(e_3,e_1)
| product(e_2,e_3,e_5)
| product(e_3,e_5,e_4) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1950,c_0_1847]),c_0_1951]),c_0_1952]),c_0_1953]),
[final] ).
cnf(c_0_2379,negated_conjecture,
( ~ next(e_5,e_1)
| cycle(e_1,e_3)
| cycle(e_1,e_4)
| product(e_3,e_5,e_4)
| product(e_2,e_3,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1892,c_0_1847]),c_0_1893]),
[final] ).
cnf(c_0_2380,negated_conjecture,
( ~ next(e_3,e_1)
| product(e_3,e_2,e_4)
| product(e_3,e_5,e_4) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1954,c_0_1847]),c_0_1955]),c_0_1956]),c_0_1957]),
[final] ).
cnf(c_0_2381,negated_conjecture,
( ~ next(e_5,e_1)
| cycle(e_1,e_3)
| cycle(e_1,e_4)
| product(e_3,e_5,e_4)
| product(e_3,e_2,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1895,c_0_1847]),c_0_1896]),
[final] ).
cnf(c_0_2382,negated_conjecture,
( ~ product(e_1,e_4,e_3)
| product(e_4,e_5,e_3)
| product(e_5,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1958,c_0_253]),c_0_391]),
[final] ).
cnf(c_0_2383,negated_conjecture,
( ~ product(e_3,e_5,e_4)
| product(e_4,e_5,e_3)
| product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_1959,c_0_1012]),
[final] ).
cnf(c_0_2384,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_5,e_3,e_2)
| product(e_4,e_5,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1960,c_0_1661]),c_0_561]),
[final] ).
cnf(c_0_2385,negated_conjecture,
( ~ product(e_5,e_4,e_2)
| product(e_4,e_5,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_1661]),c_0_244]),
[final] ).
cnf(c_0_2386,negated_conjecture,
( ~ product(e_4,e_1,X1)
| product(X1,e_3,e_1)
| product(e_2,e_3,e_1)
| product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_1961,c_0_1458]),
[final] ).
cnf(c_0_2387,negated_conjecture,
( ~ product(e_5,e_1,X1)
| product(X1,e_2,e_1)
| product(e_2,e_3,e_1)
| product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_736,c_0_1458]),
[final] ).
cnf(c_0_2388,negated_conjecture,
( ~ product(e_5,e_4,X1)
| product(X1,e_3,e_4)
| product(e_2,e_3,e_1)
| product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_144,c_0_1458]),
[final] ).
cnf(c_0_2389,negated_conjecture,
( ~ product(e_3,e_1,X1)
| product(X1,e_4,e_1)
| product(e_3,e_5,e_2)
| product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_1962,c_0_1963]),
[final] ).
cnf(c_0_2390,negated_conjecture,
( ~ product(e_2,e_1,X1)
| product(X1,e_5,e_1)
| product(e_3,e_5,e_2)
| product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_144,c_0_1963]),
[final] ).
cnf(c_0_2391,negated_conjecture,
( ~ product(e_3,e_1,X1)
| product(X1,e_4,e_1)
| product(e_3,e_1,e_4)
| product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_1962,c_0_1964]),
[final] ).
cnf(c_0_2392,negated_conjecture,
( ~ product(e_2,e_1,X1)
| product(X1,e_5,e_1)
| product(e_3,e_1,e_4)
| product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_144,c_0_1964]),
[final] ).
cnf(c_0_2393,negated_conjecture,
( ~ product(e_3,e_1,X1)
| product(X1,e_4,e_1)
| product(e_2,e_3,e_1)
| product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_1962,c_0_1965]),
[final] ).
cnf(c_0_2394,negated_conjecture,
( ~ product(e_2,e_1,X1)
| product(X1,e_5,e_1)
| product(e_2,e_3,e_1)
| product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_144,c_0_1965]),
[final] ).
cnf(c_0_2395,negated_conjecture,
( ~ product(e_3,e_5,X1)
| product(X1,e_2,e_5)
| product(e_3,e_5,e_2)
| product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_144,c_0_1666]),
[final] ).
cnf(c_0_2396,negated_conjecture,
( ~ product(e_3,e_5,X1)
| product(X1,e_2,e_5)
| product(e_3,e_1,e_4)
| product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_144,c_0_1667]),
[final] ).
cnf(c_0_2397,negated_conjecture,
( ~ product(e_3,e_5,X1)
| product(X1,e_2,e_5)
| product(e_2,e_3,e_1)
| product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_144,c_0_1668]),
[final] ).
cnf(c_0_2398,negated_conjecture,
( ~ product(e_4,e_1,X1)
| product(X1,e_2,e_1)
| product(e_5,e_3,e_2)
| product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_1966,c_0_1346]),
[final] ).
cnf(c_0_2399,negated_conjecture,
( ~ product(e_4,e_5,X1)
| product(X1,e_3,e_5)
| product(e_5,e_3,e_2)
| product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_1500,c_0_1346]),
[final] ).
cnf(c_0_2400,negated_conjecture,
( ~ product(e_3,e_5,X1)
| product(X1,e_4,e_5)
| product(e_5,e_3,e_2)
| product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_144,c_0_1346]),
[final] ).
cnf(c_0_2401,negated_conjecture,
( ~ product(e_5,e_4,X1)
| product(X1,e_1,e_4)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_144,c_0_1967]),
[final] ).
cnf(c_0_2402,negated_conjecture,
( ~ product(e_5,e_2,e_1)
| product(e_2,e_3,e_1)
| product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_251,c_0_1968]),
[final] ).
cnf(c_0_2403,negated_conjecture,
( ~ product(e_5,e_3,e_2)
| product(e_4,e_5,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_244,c_0_1665]),c_0_1969]),
[final] ).
cnf(c_0_2404,negated_conjecture,
( ~ product(e_5,e_4,X1)
| product(X1,e_1,e_4)
| product(e_3,e_5,e_4)
| product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_144,c_0_1163]),
[final] ).
cnf(c_0_2405,negated_conjecture,
( ~ product(e_3,e_5,X1)
| product(X1,e_1,e_5)
| product(e_4,e_5,e_2)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_1761,c_0_1354]),
[final] ).
cnf(c_0_2406,negated_conjecture,
( ~ product(e_4,e_5,X1)
| product(X1,e_2,e_5)
| product(e_4,e_5,e_2)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_1772,c_0_1354]),
[final] ).
cnf(c_0_2407,negated_conjecture,
( ~ product(e_2,e_5,X1)
| product(X1,e_3,e_5)
| product(e_4,e_5,e_2)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_144,c_0_1354]),
[final] ).
cnf(c_0_2408,negated_conjecture,
( ~ product(e_2,e_4,e_5)
| product(e_4,e_5,e_3)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_1970,c_0_664]),
[final] ).
cnf(c_0_2409,negated_conjecture,
( ~ product(e_2,e_4,e_5)
| product(e_4,e_5,e_3)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_1971,c_0_664]),
[final] ).
cnf(c_0_2410,negated_conjecture,
( ~ product(e_2,e_4,e_5)
| product(e_4,e_5,e_3)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_1972,c_0_664]),
[final] ).
cnf(c_0_2411,negated_conjecture,
( ~ product(e_3,e_2,e_5)
| product(e_3,e_5,e_2)
| product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_93,c_0_1963]),
[final] ).
cnf(c_0_2412,negated_conjecture,
( ~ product(e_1,e_2,e_4)
| product(e_3,e_5,e_2)
| product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_148,c_0_1963]),
[final] ).
cnf(c_0_2413,negated_conjecture,
( ~ product(e_3,e_2,e_5)
| product(e_3,e_1,e_4)
| product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_93,c_0_1964]),
[final] ).
cnf(c_0_2414,negated_conjecture,
( ~ product(e_1,e_2,e_4)
| product(e_3,e_1,e_4)
| product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_148,c_0_1964]),
[final] ).
cnf(c_0_2415,negated_conjecture,
( ~ product(e_3,e_2,e_5)
| product(e_2,e_3,e_1)
| product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_93,c_0_1965]),
[final] ).
cnf(c_0_2416,negated_conjecture,
( ~ product(e_1,e_2,e_4)
| product(e_2,e_3,e_1)
| product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_148,c_0_1965]),
[final] ).
cnf(c_0_2417,negated_conjecture,
( ~ product(e_2,e_5,X1)
| product(X1,e_1,e_5)
| product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_144,c_0_1275]),
[final] ).
cnf(c_0_2418,negated_conjecture,
( ~ product(e_4,e_1,X1)
| ~ product(e_2,e_3,e_4)
| product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_1961,c_0_1973]),
[final] ).
cnf(c_0_2419,negated_conjecture,
( ~ product(e_5,e_4,X1)
| ~ product(e_2,e_3,e_4)
| product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_144,c_0_1973]),
[final] ).
cnf(c_0_2420,negated_conjecture,
( ~ product(e_4,e_1,X1)
| ~ product(e_2,e_5,e_1)
| product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_1961,c_0_1974]),
[final] ).
cnf(c_0_2421,negated_conjecture,
( ~ product(e_5,e_4,X1)
| ~ product(e_2,e_5,e_1)
| product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_144,c_0_1974]),
[final] ).
cnf(c_0_2422,negated_conjecture,
( ~ product(e_4,e_1,X1)
| ~ product(e_4,e_2,e_1)
| product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_1961,c_0_1671]),
[final] ).
cnf(c_0_2423,negated_conjecture,
( ~ product(e_4,e_2,e_1)
| ~ product(e_5,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1975,c_0_1976]),
[final] ).
cnf(c_0_2424,negated_conjecture,
( ~ product(e_4,e_2,e_1)
| product(e_5,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_1403,c_0_1976]),
[final] ).
cnf(c_0_2425,negated_conjecture,
( ~ product(e_4,e_2,e_1)
| ~ product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_244,c_0_1976]),
[final] ).
cnf(c_0_2426,negated_conjecture,
( ~ product(e_5,e_1,X1)
| ~ product(e_4,e_2,e_1)
| product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_736,c_0_1671]),
[final] ).
cnf(c_0_2427,negated_conjecture,
( ~ product(e_5,e_4,X1)
| ~ product(e_4,e_2,e_1)
| product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_144,c_0_1671]),
[final] ).
cnf(c_0_2428,negated_conjecture,
( ~ product(e_4,e_2,e_3)
| product(e_4,e_5,e_2)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_179,c_0_1354]),
[final] ).
cnf(c_0_2429,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_1122,c_0_950]),
[final] ).
cnf(c_0_2430,negated_conjecture,
( ~ product(e_1,e_2,e_5)
| product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_251,c_0_1085]),
[final] ).
cnf(c_0_2431,negated_conjecture,
( ~ product(e_4,e_5,X1)
| product(X1,e_2,e_5)
| product(e_3,e_5,e_2)
| product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_1977,c_0_1021]),
[final] ).
cnf(c_0_2432,negated_conjecture,
( ~ product(e_4,e_1,X1)
| product(X1,e_3,e_1)
| product(e_3,e_5,e_2)
| product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_1961,c_0_1021]),
[final] ).
cnf(c_0_2433,negated_conjecture,
( ~ product(e_3,e_5,X1)
| product(X1,e_1,e_5)
| product(e_3,e_5,e_2)
| product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_717,c_0_1021]),
[final] ).
cnf(c_0_2434,negated_conjecture,
( ~ product(e_5,e_1,X1)
| product(X1,e_2,e_1)
| product(e_3,e_5,e_2)
| product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_736,c_0_1021]),
[final] ).
cnf(c_0_2435,negated_conjecture,
( ~ product(e_5,e_4,X1)
| product(X1,e_3,e_4)
| product(e_3,e_5,e_2)
| product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_144,c_0_1021]),
[final] ).
cnf(c_0_2436,negated_conjecture,
( product(e_5,e_2,e_3)
| product(e_4,e_5,e_2)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_1978,c_0_1674]),
[final] ).
cnf(c_0_2437,negated_conjecture,
( ~ product(e_5,e_2,e_1)
| product(e_3,e_5,e_2)
| product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_251,c_0_1979]),
[final] ).
cnf(c_0_2438,negated_conjecture,
( ~ product(e_4,e_2,e_3)
| product(e_3,e_5,e_2)
| product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_218,c_0_1021]),
[final] ).
cnf(c_0_2439,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_2,e_3,e_1)
| product(e_4,e_5,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_1980]),c_0_76])]),
[final] ).
cnf(c_0_2440,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_4,e_5,e_2)
| product(e_3,e_5,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_1981]),c_0_76])]),
[final] ).
cnf(c_0_2441,plain,
( ~ next(e_1,e_1)
| cycle(e_4,e_4)
| cycle(e_4,e_3)
| cycle(e_4,e_2)
| cycle(e_4,e_0)
| product(e_3,e_1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1982,c_0_858]),c_0_103])]),
[final] ).
cnf(c_0_2442,plain,
( ~ next(e_1,e_3)
| cycle(e_4,e_4)
| cycle(e_4,e_3)
| cycle(e_4,e_2)
| cycle(e_4,e_0)
| product(e_3,e_1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1983,c_0_858]),c_0_103])]),
[final] ).
cnf(c_0_2443,plain,
( ~ next(e_1,e_4)
| cycle(e_4,e_4)
| cycle(e_4,e_3)
| cycle(e_4,e_2)
| cycle(e_4,e_0)
| product(e_3,e_1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1984,c_0_858]),c_0_103])]),
[final] ).
cnf(c_0_2444,plain,
( ~ next(e_1,e_5)
| cycle(e_4,e_4)
| cycle(e_4,e_3)
| cycle(e_4,e_2)
| cycle(e_4,e_0)
| product(e_3,e_1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1985,c_0_858]),c_0_103])]),
[final] ).
cnf(c_0_2445,plain,
( ~ next(e_5,e_4)
| cycle(e_4,e_4)
| cycle(e_4,e_3)
| cycle(e_4,e_2)
| cycle(e_4,e_0)
| product(e_3,e_1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1986,c_0_858]),c_0_1586])]),
[final] ).
cnf(c_0_2446,plain,
( ~ next(e_5,e_3)
| cycle(e_2,e_4)
| cycle(e_2,e_3)
| cycle(e_2,e_2)
| cycle(e_2,e_0)
| cycle(e_3,e_2) ),
inference(spm,[status(thm)],[c_0_1987,c_0_1007]),
[final] ).
cnf(c_0_2447,plain,
( ~ next(e_5,e_3)
| cycle(e_4,e_4)
| cycle(e_4,e_3)
| cycle(e_4,e_2)
| cycle(e_4,e_0)
| cycle(e_3,e_2) ),
inference(spm,[status(thm)],[c_0_1988,c_0_1007]),
[final] ).
cnf(c_0_2448,negated_conjecture,
( ~ next(e_4,e_3)
| cycle(e_4,e_3)
| cycle(e_4,e_0)
| product(e_2,e_4,e_1)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1989,c_0_1436]),
[final] ).
cnf(c_0_2449,negated_conjecture,
( ~ next(e_4,e_2)
| cycle(e_4,e_4)
| cycle(e_4,e_0)
| product(e_2,e_3,e_4)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_1990,c_0_1196]),
[final] ).
cnf(c_0_2450,negated_conjecture,
( ~ next(e_4,e_3)
| cycle(e_4,e_3)
| cycle(e_4,e_0)
| product(e_2,e_5,e_1)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_1989,c_0_1437]),
[final] ).
cnf(c_0_2451,negated_conjecture,
( ~ next(e_4,e_2)
| cycle(e_4,e_4)
| cycle(e_4,e_0)
| product(e_2,e_3,e_5)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1990,c_0_1197]),
[final] ).
cnf(c_0_2452,negated_conjecture,
( ~ next(e_4,e_3)
| cycle(e_4,e_3)
| cycle(e_4,e_0)
| product(e_2,e_5,e_1)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_1989,c_0_1438]),
[final] ).
cnf(c_0_2453,negated_conjecture,
( ~ next(e_4,e_2)
| cycle(e_4,e_4)
| cycle(e_4,e_0)
| product(e_3,e_4,e_5)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1990,c_0_1198]),
[final] ).
cnf(c_0_2454,negated_conjecture,
( ~ next(e_4,e_3)
| cycle(e_4,e_3)
| cycle(e_4,e_0)
| product(e_2,e_5,e_1)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1989,c_0_1439]),
[final] ).
cnf(c_0_2455,negated_conjecture,
( ~ next(e_4,e_2)
| cycle(e_4,e_4)
| cycle(e_4,e_0)
| product(e_3,e_5,e_1)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1990,c_0_1199]),
[final] ).
cnf(c_0_2456,negated_conjecture,
( ~ next(e_4,e_3)
| cycle(e_4,e_3)
| cycle(e_4,e_0)
| product(e_2,e_5,e_1)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_1989,c_0_1440]),
[final] ).
cnf(c_0_2457,negated_conjecture,
( ~ next(e_4,e_2)
| cycle(e_4,e_4)
| cycle(e_4,e_0)
| product(e_3,e_2,e_4)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1990,c_0_1200]),
[final] ).
cnf(c_0_2458,negated_conjecture,
( ~ next(e_4,e_3)
| cycle(e_4,e_3)
| cycle(e_4,e_0)
| product(e_2,e_4,e_1)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_1989,c_0_1441]),
[final] ).
cnf(c_0_2459,negated_conjecture,
( ~ next(e_4,e_2)
| cycle(e_4,e_4)
| cycle(e_4,e_0)
| product(e_3,e_5,e_4)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_1990,c_0_1201]),
[final] ).
cnf(c_0_2460,negated_conjecture,
( ~ next(e_4,e_3)
| cycle(e_4,e_3)
| cycle(e_4,e_0)
| product(e_2,e_5,e_1)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_1989,c_0_1442]),
[final] ).
cnf(c_0_2461,negated_conjecture,
( ~ next(e_4,e_2)
| cycle(e_4,e_4)
| cycle(e_4,e_0)
| product(e_2,e_4,e_1)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1990,c_0_1202]),
[final] ).
cnf(c_0_2462,negated_conjecture,
( ~ next(e_4,e_3)
| cycle(e_4,e_3)
| cycle(e_4,e_0)
| product(e_2,e_3,e_4)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_1989,c_0_1443]),
[final] ).
cnf(c_0_2463,negated_conjecture,
( ~ next(e_4,e_2)
| cycle(e_4,e_4)
| cycle(e_4,e_0)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1990,c_0_1203]),
[final] ).
cnf(c_0_2464,negated_conjecture,
( ~ next(e_4,e_3)
| cycle(e_4,e_3)
| cycle(e_4,e_0)
| product(e_2,e_3,e_4)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_1989,c_0_1444]),
[final] ).
cnf(c_0_2465,negated_conjecture,
( ~ next(e_4,e_2)
| cycle(e_4,e_4)
| cycle(e_4,e_0)
| product(e_3,e_4,e_5)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1990,c_0_1204]),
[final] ).
cnf(c_0_2466,negated_conjecture,
( ~ next(e_4,e_3)
| cycle(e_4,e_3)
| cycle(e_4,e_0)
| product(e_2,e_3,e_4)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1989,c_0_1445]),
[final] ).
cnf(c_0_2467,negated_conjecture,
( ~ next(e_4,e_2)
| cycle(e_4,e_4)
| cycle(e_4,e_0)
| product(e_3,e_5,e_1)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1990,c_0_1205]),
[final] ).
cnf(c_0_2468,negated_conjecture,
( ~ next(e_4,e_3)
| cycle(e_4,e_3)
| cycle(e_4,e_0)
| product(e_3,e_5,e_4)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1989,c_0_1446]),
[final] ).
cnf(c_0_2469,negated_conjecture,
( ~ next(e_4,e_2)
| cycle(e_4,e_4)
| cycle(e_4,e_0)
| product(e_3,e_5,e_1)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_1990,c_0_1206]),
[final] ).
cnf(c_0_2470,negated_conjecture,
( ~ next(e_4,e_3)
| cycle(e_4,e_3)
| cycle(e_4,e_0)
| product(e_2,e_3,e_5)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1989,c_0_1447]),
[final] ).
cnf(c_0_2471,negated_conjecture,
( ~ next(e_4,e_2)
| cycle(e_4,e_4)
| cycle(e_4,e_0)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_1990,c_0_1207]),
[final] ).
cnf(c_0_2472,negated_conjecture,
( ~ next(e_4,e_3)
| cycle(e_4,e_3)
| cycle(e_4,e_0)
| product(e_3,e_4,e_5)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_1989,c_0_1448]),
[final] ).
cnf(c_0_2473,negated_conjecture,
( ~ next(e_4,e_2)
| cycle(e_4,e_4)
| cycle(e_4,e_0)
| product(e_3,e_5,e_4)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_1990,c_0_1208]),
[final] ).
cnf(c_0_2474,negated_conjecture,
( ~ next(e_4,e_3)
| cycle(e_4,e_3)
| cycle(e_4,e_0)
| product(e_2,e_3,e_5)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_1989,c_0_1449]),
[final] ).
cnf(c_0_2475,negated_conjecture,
( ~ next(e_4,e_2)
| cycle(e_4,e_4)
| cycle(e_4,e_0)
| product(e_3,e_5,e_4)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_1990,c_0_1209]),
[final] ).
cnf(c_0_2476,negated_conjecture,
( ~ next(e_4,e_3)
| cycle(e_4,e_3)
| cycle(e_4,e_0)
| product(e_3,e_2,e_4)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_1989,c_0_1450]),
[final] ).
cnf(c_0_2477,negated_conjecture,
( ~ next(e_4,e_2)
| cycle(e_4,e_4)
| cycle(e_4,e_0)
| product(e_3,e_5,e_4)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_1990,c_0_1210]),
[final] ).
cnf(c_0_2478,plain,
( ~ next(e_5,e_4)
| ~ greater(X1,e_3)
| ~ product(e_3,e_1,X1)
| cycle(e_4,e_4)
| cycle(e_4,e_3)
| cycle(e_4,e_2)
| cycle(e_4,e_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1745,c_0_858]),c_0_1991])]),
[final] ).
cnf(c_0_2479,plain,
( ~ next(e_1,e_1)
| ~ greater(X1,e_3)
| ~ product(e_3,e_1,X1)
| cycle(e_4,e_4)
| cycle(e_4,e_3)
| cycle(e_4,e_2)
| cycle(e_4,e_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1992,c_0_858]),c_0_103])]),
[final] ).
cnf(c_0_2480,plain,
( ~ next(e_1,e_3)
| ~ greater(X1,e_3)
| ~ product(e_3,e_1,X1)
| cycle(e_4,e_4)
| cycle(e_4,e_3)
| cycle(e_4,e_2)
| cycle(e_4,e_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1993,c_0_858]),c_0_103])]),
[final] ).
cnf(c_0_2481,plain,
( ~ next(e_1,e_4)
| ~ greater(X1,e_3)
| ~ product(e_3,e_1,X1)
| cycle(e_4,e_4)
| cycle(e_4,e_3)
| cycle(e_4,e_2)
| cycle(e_4,e_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1994,c_0_858]),c_0_103])]),
[final] ).
cnf(c_0_2482,plain,
( ~ next(e_1,e_5)
| ~ greater(X1,e_3)
| ~ product(e_3,e_1,X1)
| cycle(e_4,e_4)
| cycle(e_4,e_3)
| cycle(e_4,e_2)
| cycle(e_4,e_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1995,c_0_858]),c_0_103])]),
[final] ).
cnf(c_0_2483,plain,
( ~ next(e_3,X1)
| ~ greater(e_0,X2)
| ~ cycle(X1,X2)
| cycle(e_3,e_2)
| cycle(e_1,e_2)
| cycle(e_1,e_3)
| cycle(e_1,e_4) ),
inference(spm,[status(thm)],[c_0_1996,c_0_1847]),
[final] ).
cnf(c_0_2484,plain,
( ~ next(e_3,e_1)
| cycle(e_1,e_2)
| cycle(e_1,e_3)
| cycle(e_1,e_4)
| product(e_3,e_1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1982,c_0_1847]),c_0_961])]),
[final] ).
cnf(c_0_2485,plain,
( ~ next(e_5,e_1)
| cycle(e_1,e_2)
| cycle(e_1,e_3)
| cycle(e_1,e_4)
| product(e_3,e_1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1986,c_0_1847]),c_0_131])]),
[final] ).
cnf(c_0_2486,negated_conjecture,
( ~ product(e_5,e_4,X1)
| product(X1,e_1,e_4)
| product(e_4,e_5,e_2)
| product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_144,c_0_1682]),
[final] ).
cnf(c_0_2487,negated_conjecture,
( ~ product(e_4,e_1,X1)
| ~ product(e_4,e_3,e_1)
| product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_1567,c_0_1997]),
[final] ).
cnf(c_0_2488,negated_conjecture,
( ~ product(e_5,e_4,X1)
| ~ product(e_4,e_3,e_1)
| product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_144,c_0_1997]),
[final] ).
cnf(c_0_2489,negated_conjecture,
( ~ product(e_4,e_1,X1)
| product(X1,e_3,e_1)
| product(e_3,e_1,e_4)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1961,c_0_1998]),
[final] ).
cnf(c_0_2490,negated_conjecture,
( ~ product(e_5,e_1,X1)
| product(X1,e_2,e_1)
| product(e_3,e_1,e_4)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_736,c_0_1998]),
[final] ).
cnf(c_0_2491,negated_conjecture,
( ~ product(e_5,e_4,X1)
| product(X1,e_3,e_4)
| product(e_3,e_1,e_4)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_144,c_0_1998]),
[final] ).
cnf(c_0_2492,negated_conjecture,
( ~ product(e_4,e_1,X1)
| product(X1,e_3,e_1)
| product(e_4,e_3,e_1)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_1961,c_0_1999]),
[final] ).
cnf(c_0_2493,negated_conjecture,
( ~ product(e_5,e_4,X1)
| product(X1,e_3,e_4)
| product(e_4,e_3,e_1)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_144,c_0_1999]),
[final] ).
cnf(c_0_2494,negated_conjecture,
( ~ product(e_4,e_1,X1)
| product(X1,e_3,e_1)
| product(e_3,e_2,e_4)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_1961,c_0_2000]),
[final] ).
cnf(c_0_2495,negated_conjecture,
( ~ product(e_5,e_1,X1)
| product(X1,e_2,e_1)
| product(e_3,e_2,e_4)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_736,c_0_2000]),
[final] ).
cnf(c_0_2496,negated_conjecture,
( ~ product(e_5,e_4,X1)
| product(X1,e_3,e_4)
| product(e_3,e_2,e_4)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_144,c_0_2000]),
[final] ).
cnf(c_0_2497,negated_conjecture,
( ~ product(e_4,e_1,X1)
| product(X1,e_3,e_1)
| product(e_2,e_4,e_1)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_1961,c_0_1455]),
[final] ).
cnf(c_0_2498,negated_conjecture,
( ~ product(e_5,e_1,X1)
| product(X1,e_2,e_1)
| product(e_2,e_4,e_1)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_736,c_0_1455]),
[final] ).
cnf(c_0_2499,negated_conjecture,
( ~ product(e_5,e_4,X1)
| product(X1,e_3,e_4)
| product(e_2,e_4,e_1)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_144,c_0_1455]),
[final] ).
cnf(c_0_2500,negated_conjecture,
( ~ product(e_4,e_1,X1)
| product(X1,e_3,e_1)
| product(e_3,e_4,e_5)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_1961,c_0_2001]),
[final] ).
cnf(c_0_2501,negated_conjecture,
( ~ product(e_5,e_4,X1)
| product(X1,e_3,e_4)
| product(e_3,e_4,e_5)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_144,c_0_2001]),
[final] ).
cnf(c_0_2502,negated_conjecture,
( ~ product(e_4,e_1,X1)
| product(X1,e_3,e_1)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_1961,c_0_2002]),
[final] ).
cnf(c_0_2503,negated_conjecture,
( ~ product(e_5,e_4,X1)
| product(X1,e_3,e_4)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_144,c_0_2002]),
[final] ).
cnf(c_0_2504,negated_conjecture,
( ~ product(e_4,e_1,X1)
| product(X1,e_3,e_1)
| product(e_4,e_3,e_1)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_1961,c_0_2003]),
[final] ).
cnf(c_0_2505,negated_conjecture,
( ~ product(e_5,e_4,X1)
| product(X1,e_3,e_4)
| product(e_4,e_3,e_1)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_144,c_0_2003]),
[final] ).
cnf(c_0_2506,negated_conjecture,
( ~ product(e_4,e_1,X1)
| product(X1,e_3,e_1)
| product(e_4,e_3,e_1)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_1961,c_0_2004]),
[final] ).
cnf(c_0_2507,negated_conjecture,
( ~ product(e_5,e_4,X1)
| product(X1,e_3,e_4)
| product(e_4,e_3,e_1)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_144,c_0_2004]),
[final] ).
cnf(c_0_2508,negated_conjecture,
( ~ product(e_5,e_4,X1)
| product(X1,e_3,e_4)
| product(e_3,e_5,e_2)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_144,c_0_2005]),
[final] ).
cnf(c_0_2509,negated_conjecture,
( ~ product(e_5,e_4,X1)
| product(X1,e_3,e_4)
| product(e_3,e_5,e_2)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_144,c_0_2006]),
[final] ).
cnf(c_0_2510,negated_conjecture,
( ~ product(e_5,e_4,X1)
| product(X1,e_3,e_4)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_144,c_0_2007]),
[final] ).
cnf(c_0_2511,negated_conjecture,
( product(e_5,e_4,e_2)
| product(e_3,e_1,e_4)
| product(e_3,e_5,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1022,c_0_1998]),c_0_622]),
[final] ).
cnf(c_0_2512,negated_conjecture,
( ~ product(e_4,e_1,X1)
| product(X1,e_3,e_1)
| product(e_3,e_5,e_2)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1961,c_0_2008]),
[final] ).
cnf(c_0_2513,negated_conjecture,
( ~ product(e_5,e_1,X1)
| product(X1,e_2,e_1)
| product(e_3,e_5,e_2)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_736,c_0_2008]),
[final] ).
cnf(c_0_2514,negated_conjecture,
( ~ product(e_5,e_4,X1)
| product(X1,e_3,e_4)
| product(e_3,e_5,e_2)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_144,c_0_2008]),
[final] ).
cnf(c_0_2515,negated_conjecture,
( product(e_5,e_4,e_2)
| product(e_3,e_2,e_4)
| product(e_3,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1022,c_0_2000]),c_0_622]),
[final] ).
cnf(c_0_2516,negated_conjecture,
( ~ product(e_5,e_4,X1)
| product(X1,e_3,e_4)
| product(e_3,e_5,e_2)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_144,c_0_931]),
[final] ).
cnf(c_0_2517,negated_conjecture,
( product(e_5,e_4,e_2)
| product(e_2,e_4,e_1)
| product(e_3,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1022,c_0_1455]),c_0_622]),
[final] ).
cnf(c_0_2518,negated_conjecture,
( ~ product(e_5,e_4,X1)
| product(X1,e_3,e_4)
| product(e_3,e_5,e_2)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_144,c_0_2009]),
[final] ).
cnf(c_0_2519,negated_conjecture,
( ~ product(e_5,e_4,X1)
| product(X1,e_3,e_4)
| product(e_2,e_3,e_1)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_144,c_0_1457]),
[final] ).
cnf(c_0_2520,negated_conjecture,
( ~ product(e_5,e_4,X1)
| product(X1,e_3,e_4)
| product(e_2,e_3,e_1)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_144,c_0_2010]),
[final] ).
cnf(c_0_2521,negated_conjecture,
( product(e_5,e_4,e_2)
| product(e_3,e_5,e_2)
| product(e_3,e_5,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1022,c_0_2008]),c_0_622]),
[final] ).
cnf(c_0_2522,negated_conjecture,
( ~ product(e_4,e_1,X1)
| product(X1,e_3,e_1)
| product(e_2,e_3,e_1)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1961,c_0_2011]),
[final] ).
cnf(c_0_2523,negated_conjecture,
( ~ product(e_5,e_1,X1)
| product(X1,e_2,e_1)
| product(e_2,e_3,e_1)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_736,c_0_2011]),
[final] ).
cnf(c_0_2524,negated_conjecture,
( ~ product(e_5,e_4,X1)
| product(X1,e_3,e_4)
| product(e_2,e_3,e_1)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_144,c_0_2011]),
[final] ).
cnf(c_0_2525,negated_conjecture,
( product(e_5,e_4,e_2)
| product(e_2,e_3,e_1)
| product(e_3,e_5,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1022,c_0_2011]),c_0_622]),
[final] ).
cnf(c_0_2526,negated_conjecture,
( ~ product(e_5,e_4,X1)
| product(X1,e_3,e_4)
| product(e_2,e_3,e_1)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_144,c_0_2012]),
[final] ).
cnf(c_0_2527,negated_conjecture,
( ~ product(e_1,e_4,e_3)
| product(e_2,e_5,e_1)
| product(e_4,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2013,c_0_253]),c_0_391]),
[final] ).
cnf(c_0_2528,negated_conjecture,
( ~ product(e_1,e_4,e_3)
| product(e_5,e_3,e_2)
| product(e_2,e_5,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2014,c_0_253]),c_0_391]),
[final] ).
cnf(c_0_2529,negated_conjecture,
( ~ product(e_3,e_1,e_2)
| product(e_2,e_5,e_1)
| product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_159,c_0_1702]),
[final] ).
cnf(c_0_2530,negated_conjecture,
( ~ product(e_1,e_5,X1)
| product(X1,e_2,e_5)
| product(e_4,e_2,e_1)
| product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_144,c_0_1703]),
[final] ).
cnf(c_0_2531,negated_conjecture,
( ~ product(e_3,e_5,e_4)
| product(e_5,e_3,e_2)
| product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_2015,c_0_1012]),
[final] ).
cnf(c_0_2532,negated_conjecture,
( ~ product(e_1,e_4,e_3)
| product(e_5,e_3,e_2)
| product(e_5,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2016,c_0_253]),c_0_391]),
[final] ).
cnf(c_0_2533,plain,
( ~ product(e_3,e_5,e_4)
| product(e_5,e_3,e_2)
| product(e_5,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_2017,c_0_1012]),
[final] ).
cnf(c_0_2534,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_5,e_2,e_3)
| product(e_5,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1960,c_0_1673]),c_0_561]),
[final] ).
cnf(c_0_2535,negated_conjecture,
( ~ product(e_1,e_5,X1)
| product(X1,e_2,e_5)
| product(e_3,e_5,e_4)
| product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_144,c_0_2018]),
[final] ).
cnf(c_0_2536,negated_conjecture,
( ~ product(e_3,e_1,e_2)
| product(e_3,e_5,e_4)
| product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_159,c_0_2018]),
[final] ).
cnf(c_0_2537,negated_conjecture,
( ~ product(e_1,e_4,e_3)
| product(e_5,e_3,e_1)
| product(e_4,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2019,c_0_253]),c_0_391]),
[final] ).
cnf(c_0_2538,negated_conjecture,
( ~ product(e_3,e_5,e_4)
| product(e_5,e_3,e_1)
| product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_2020,c_0_1012]),
[final] ).
cnf(c_0_2539,negated_conjecture,
( ~ product(e_1,e_4,e_3)
| product(e_5,e_3,e_1)
| product(e_3,e_4,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2021,c_0_253]),c_0_391]),
[final] ).
cnf(c_0_2540,negated_conjecture,
( ~ product(e_3,e_5,e_4)
| product(e_5,e_3,e_1)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_2022,c_0_1012]),
[final] ).
cnf(c_0_2541,negated_conjecture,
( ~ product(e_1,e_4,e_3)
| product(e_5,e_3,e_2)
| product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2023,c_0_253]),c_0_391]),
[final] ).
cnf(c_0_2542,negated_conjecture,
( ~ product(e_3,e_1,e_2)
| product(e_2,e_3,e_4)
| product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_159,c_0_1707]),
[final] ).
cnf(c_0_2543,negated_conjecture,
( ~ product(e_5,e_2,e_1)
| product(e_3,e_1,e_4)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_251,c_0_2024]),
[final] ).
cnf(c_0_2544,negated_conjecture,
( ~ product(e_5,e_2,e_1)
| product(e_3,e_2,e_4)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_251,c_0_2025]),
[final] ).
cnf(c_0_2545,negated_conjecture,
( ~ product(e_5,e_2,e_1)
| product(e_3,e_5,e_1)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_251,c_0_2026]),
[final] ).
cnf(c_0_2546,negated_conjecture,
( ~ product(e_5,e_2,e_1)
| product(e_3,e_5,e_1)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_251,c_0_2027]),
[final] ).
cnf(c_0_2547,negated_conjecture,
( ~ product(e_5,e_2,e_1)
| product(e_3,e_5,e_1)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_251,c_0_2028]),
[final] ).
cnf(c_0_2548,negated_conjecture,
( ~ next(e_5,X1)
| ~ greater(e_2,X2)
| ~ cycle(X1,X2)
| product(e_2,e_4,e_1)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1515,c_0_1436]),
[final] ).
cnf(c_0_2549,negated_conjecture,
( ~ cycle(e_4,e_5)
| product(e_2,e_4,e_1)
| product(e_2,e_3,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1898,c_0_1789]),c_0_103])]),
[final] ).
cnf(c_0_2550,negated_conjecture,
( ~ next(e_3,e_5)
| product(e_2,e_4,e_1)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1898,c_0_984]),
[final] ).
cnf(c_0_2551,negated_conjecture,
( ~ next(e_3,e_3)
| product(e_2,e_4,e_1)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1901,c_0_1436]),
[final] ).
cnf(c_0_2552,negated_conjecture,
( ~ next(e_3,e_2)
| product(e_2,e_4,e_1)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1900,c_0_1196]),
[final] ).
cnf(c_0_2553,negated_conjecture,
( ~ next(e_5,e_1)
| ~ cycle(e_1,e_5)
| product(e_2,e_3,e_4)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_1853,c_0_1897]),
[final] ).
cnf(c_0_2554,negated_conjecture,
( ~ next(e_5,e_2)
| ~ cycle(e_2,e_5)
| product(e_2,e_3,e_4)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_1853,c_0_2029]),
[final] ).
cnf(c_0_2555,negated_conjecture,
( ~ next(e_5,e_5)
| product(e_2,e_3,e_4)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_1853,c_0_984]),
[final] ).
cnf(c_0_2556,negated_conjecture,
( ~ next(e_5,e_3)
| product(e_2,e_3,e_4)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_1854,c_0_1436]),
[final] ).
cnf(c_0_2557,negated_conjecture,
( ~ cycle(e_3,e_5)
| product(e_2,e_3,e_4)
| product(e_2,e_4,e_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1330,c_0_2030]),c_0_86])]),
[final] ).
cnf(c_0_2558,negated_conjecture,
( ~ next(e_2,X1)
| ~ cycle(X1,e_1)
| product(e_2,e_4,e_1)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_2031,c_0_835]),
[final] ).
cnf(c_0_2559,negated_conjecture,
( ~ next(e_2,X1)
| ~ cycle(X1,e_3)
| product(e_2,e_4,e_1)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_2032,c_0_103]),
[final] ).
cnf(c_0_2560,negated_conjecture,
( ~ next(e_2,X1)
| ~ cycle(X1,e_4)
| product(e_2,e_4,e_1)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_2033,c_0_903]),
[final] ).
cnf(c_0_2561,negated_conjecture,
( ~ cycle(e_2,e_2)
| product(e_2,e_3,e_4)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_2034,c_0_1196]),
[final] ).
cnf(c_0_2562,negated_conjecture,
( ~ next(e_2,e_1)
| product(e_2,e_3,e_4)
| product(e_2,e_4,e_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1741,c_0_1196]),c_0_647]),c_0_131])]),
[final] ).
cnf(c_0_2563,negated_conjecture,
( ~ next(e_2,e_2)
| product(e_2,e_3,e_4)
| product(e_2,e_4,e_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1743,c_0_1196]),c_0_647]),c_0_131])]),
[final] ).
cnf(c_0_2564,negated_conjecture,
( ~ next(e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_2,e_4,e_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_1196]),c_0_647]),c_0_131])]),
[final] ).
cnf(c_0_2565,negated_conjecture,
( ~ next(e_2,e_5)
| product(e_2,e_3,e_4)
| product(e_2,e_4,e_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1744,c_0_1196]),c_0_647]),c_0_131])]),
[final] ).
cnf(c_0_2566,negated_conjecture,
( ~ next(e_5,X1)
| ~ greater(e_2,X2)
| ~ cycle(X1,X2)
| product(e_2,e_5,e_1)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_1515,c_0_1437]),
[final] ).
cnf(c_0_2567,negated_conjecture,
( ~ cycle(e_4,e_5)
| product(e_2,e_5,e_1)
| product(e_2,e_3,e_5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1902,c_0_1789]),c_0_103])]),
[final] ).
cnf(c_0_2568,negated_conjecture,
( ~ next(e_3,e_5)
| product(e_2,e_5,e_1)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_1902,c_0_984]),
[final] ).
cnf(c_0_2569,negated_conjecture,
( ~ next(e_3,e_3)
| product(e_2,e_5,e_1)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_1905,c_0_1437]),
[final] ).
cnf(c_0_2570,negated_conjecture,
( ~ next(e_3,e_2)
| product(e_2,e_5,e_1)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_1904,c_0_1197]),
[final] ).
cnf(c_0_2571,negated_conjecture,
( ~ next(e_5,e_1)
| ~ cycle(e_1,e_5)
| product(e_2,e_3,e_5)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1856,c_0_1897]),
[final] ).
cnf(c_0_2572,negated_conjecture,
( ~ next(e_5,e_2)
| ~ cycle(e_2,e_5)
| product(e_2,e_3,e_5)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1856,c_0_2029]),
[final] ).
cnf(c_0_2573,negated_conjecture,
( ~ next(e_5,e_3)
| product(e_2,e_3,e_5)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1857,c_0_1437]),
[final] ).
cnf(c_0_2574,negated_conjecture,
( ~ next(e_5,e_5)
| product(e_2,e_3,e_5)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1856,c_0_984]),
[final] ).
cnf(c_0_2575,negated_conjecture,
( ~ cycle(e_3,e_5)
| product(e_2,e_3,e_5)
| product(e_2,e_5,e_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1331,c_0_2030]),c_0_86])]),
[final] ).
cnf(c_0_2576,negated_conjecture,
( ~ next(e_2,X1)
| ~ cycle(X1,e_1)
| product(e_2,e_5,e_1)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_2035,c_0_835]),
[final] ).
cnf(c_0_2577,negated_conjecture,
( ~ next(e_2,X1)
| ~ cycle(X1,e_3)
| product(e_2,e_5,e_1)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_2036,c_0_103]),
[final] ).
cnf(c_0_2578,negated_conjecture,
( ~ next(e_2,X1)
| ~ cycle(X1,e_4)
| product(e_2,e_5,e_1)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_2037,c_0_903]),
[final] ).
cnf(c_0_2579,negated_conjecture,
( ~ cycle(e_2,e_2)
| product(e_2,e_3,e_5)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_2034,c_0_1197]),
[final] ).
cnf(c_0_2580,negated_conjecture,
( ~ next(e_2,e_1)
| product(e_2,e_3,e_5)
| product(e_2,e_5,e_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1741,c_0_1197]),c_0_647]),c_0_131])]),
[final] ).
cnf(c_0_2581,negated_conjecture,
( ~ next(e_2,e_2)
| product(e_2,e_3,e_5)
| product(e_2,e_5,e_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1743,c_0_1197]),c_0_647]),c_0_131])]),
[final] ).
cnf(c_0_2582,negated_conjecture,
( ~ next(e_2,e_4)
| product(e_2,e_3,e_5)
| product(e_2,e_5,e_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_1197]),c_0_647]),c_0_131])]),
[final] ).
cnf(c_0_2583,negated_conjecture,
( ~ next(e_2,e_5)
| product(e_2,e_3,e_5)
| product(e_2,e_5,e_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1744,c_0_1197]),c_0_647]),c_0_131])]),
[final] ).
cnf(c_0_2584,negated_conjecture,
( ~ next(e_5,X1)
| ~ greater(e_2,X2)
| ~ cycle(X1,X2)
| product(e_2,e_5,e_1)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_1515,c_0_1438]),
[final] ).
cnf(c_0_2585,negated_conjecture,
( ~ cycle(e_4,e_5)
| product(e_2,e_5,e_1)
| product(e_3,e_4,e_5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1906,c_0_1789]),c_0_103])]),
[final] ).
cnf(c_0_2586,negated_conjecture,
( ~ next(e_3,e_5)
| product(e_2,e_5,e_1)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_1906,c_0_984]),
[final] ).
cnf(c_0_2587,negated_conjecture,
( ~ next(e_3,e_3)
| product(e_2,e_5,e_1)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_1909,c_0_1438]),
[final] ).
cnf(c_0_2588,negated_conjecture,
( ~ next(e_3,e_2)
| product(e_2,e_5,e_1)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_1908,c_0_1198]),
[final] ).
cnf(c_0_2589,negated_conjecture,
( ~ next(e_5,e_1)
| ~ cycle(e_1,e_5)
| product(e_3,e_4,e_5)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1859,c_0_1897]),
[final] ).
cnf(c_0_2590,negated_conjecture,
( ~ next(e_5,e_2)
| ~ cycle(e_2,e_5)
| product(e_3,e_4,e_5)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1859,c_0_2029]),
[final] ).
cnf(c_0_2591,negated_conjecture,
( ~ next(e_5,e_3)
| product(e_3,e_4,e_5)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1860,c_0_1438]),
[final] ).
cnf(c_0_2592,negated_conjecture,
( ~ next(e_5,e_5)
| product(e_3,e_4,e_5)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1859,c_0_984]),
[final] ).
cnf(c_0_2593,negated_conjecture,
( ~ cycle(e_3,e_5)
| product(e_3,e_4,e_5)
| product(e_2,e_5,e_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1332,c_0_2030]),c_0_86])]),
[final] ).
cnf(c_0_2594,negated_conjecture,
( ~ next(e_2,X1)
| ~ cycle(X1,e_1)
| product(e_2,e_5,e_1)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_2038,c_0_835]),
[final] ).
cnf(c_0_2595,negated_conjecture,
( ~ next(e_2,X1)
| ~ cycle(X1,e_3)
| product(e_2,e_5,e_1)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_2039,c_0_103]),
[final] ).
cnf(c_0_2596,negated_conjecture,
( ~ next(e_2,X1)
| ~ cycle(X1,e_4)
| product(e_2,e_5,e_1)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_2040,c_0_903]),
[final] ).
cnf(c_0_2597,negated_conjecture,
( ~ cycle(e_2,e_2)
| product(e_3,e_4,e_5)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_2034,c_0_1198]),
[final] ).
cnf(c_0_2598,negated_conjecture,
( ~ next(e_2,e_1)
| product(e_3,e_4,e_5)
| product(e_2,e_5,e_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1741,c_0_1198]),c_0_647]),c_0_131])]),
[final] ).
cnf(c_0_2599,negated_conjecture,
( ~ next(e_2,e_2)
| product(e_3,e_4,e_5)
| product(e_2,e_5,e_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1743,c_0_1198]),c_0_647]),c_0_131])]),
[final] ).
cnf(c_0_2600,negated_conjecture,
( ~ next(e_2,e_4)
| product(e_3,e_4,e_5)
| product(e_2,e_5,e_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_1198]),c_0_647]),c_0_131])]),
[final] ).
cnf(c_0_2601,negated_conjecture,
( ~ next(e_2,e_5)
| product(e_3,e_4,e_5)
| product(e_2,e_5,e_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1744,c_0_1198]),c_0_647]),c_0_131])]),
[final] ).
cnf(c_0_2602,negated_conjecture,
( ~ next(e_5,X1)
| ~ greater(e_2,X2)
| ~ cycle(X1,X2)
| product(e_2,e_5,e_1)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1515,c_0_1439]),
[final] ).
cnf(c_0_2603,negated_conjecture,
( ~ cycle(e_4,e_5)
| product(e_2,e_5,e_1)
| product(e_3,e_5,e_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1910,c_0_1789]),c_0_103])]),
[final] ).
cnf(c_0_2604,negated_conjecture,
( ~ next(e_3,e_5)
| product(e_2,e_5,e_1)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1910,c_0_984]),
[final] ).
cnf(c_0_2605,negated_conjecture,
( ~ next(e_3,e_3)
| product(e_2,e_5,e_1)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1913,c_0_1439]),
[final] ).
cnf(c_0_2606,negated_conjecture,
( ~ next(e_3,e_2)
| product(e_2,e_5,e_1)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1912,c_0_1199]),
[final] ).
cnf(c_0_2607,negated_conjecture,
( ~ next(e_5,e_1)
| ~ cycle(e_1,e_5)
| product(e_3,e_5,e_1)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1862,c_0_1897]),
[final] ).
cnf(c_0_2608,negated_conjecture,
( ~ next(e_5,e_2)
| ~ cycle(e_2,e_5)
| product(e_3,e_5,e_1)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1862,c_0_2029]),
[final] ).
cnf(c_0_2609,negated_conjecture,
( ~ next(e_5,e_3)
| product(e_3,e_5,e_1)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1863,c_0_1439]),
[final] ).
cnf(c_0_2610,negated_conjecture,
( ~ next(e_5,e_5)
| product(e_3,e_5,e_1)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1862,c_0_984]),
[final] ).
cnf(c_0_2611,negated_conjecture,
( ~ cycle(e_3,e_5)
| product(e_3,e_5,e_1)
| product(e_2,e_5,e_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1333,c_0_2030]),c_0_86])]),
[final] ).
cnf(c_0_2612,negated_conjecture,
( ~ next(e_2,X1)
| ~ cycle(X1,e_1)
| product(e_2,e_5,e_1)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_2041,c_0_835]),
[final] ).
cnf(c_0_2613,negated_conjecture,
( ~ next(e_2,X1)
| ~ cycle(X1,e_3)
| product(e_2,e_5,e_1)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_2042,c_0_103]),
[final] ).
cnf(c_0_2614,negated_conjecture,
( ~ next(e_2,X1)
| ~ cycle(X1,e_4)
| product(e_2,e_5,e_1)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_2043,c_0_903]),
[final] ).
cnf(c_0_2615,negated_conjecture,
( ~ cycle(e_2,e_2)
| product(e_3,e_5,e_1)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_2034,c_0_1199]),
[final] ).
cnf(c_0_2616,negated_conjecture,
( ~ next(e_2,e_1)
| product(e_3,e_5,e_1)
| product(e_2,e_5,e_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1741,c_0_1199]),c_0_647]),c_0_131])]),
[final] ).
cnf(c_0_2617,negated_conjecture,
( ~ next(e_2,e_2)
| product(e_3,e_5,e_1)
| product(e_2,e_5,e_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1743,c_0_1199]),c_0_647]),c_0_131])]),
[final] ).
cnf(c_0_2618,negated_conjecture,
( ~ next(e_2,e_4)
| product(e_3,e_5,e_1)
| product(e_2,e_5,e_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_1199]),c_0_647]),c_0_131])]),
[final] ).
cnf(c_0_2619,negated_conjecture,
( ~ next(e_2,e_5)
| product(e_3,e_5,e_1)
| product(e_2,e_5,e_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1744,c_0_1199]),c_0_647]),c_0_131])]),
[final] ).
cnf(c_0_2620,negated_conjecture,
( ~ next(e_5,X1)
| ~ greater(e_2,X2)
| ~ cycle(X1,X2)
| product(e_2,e_5,e_1)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_1515,c_0_1440]),
[final] ).
cnf(c_0_2621,negated_conjecture,
( ~ cycle(e_4,e_5)
| product(e_2,e_5,e_1)
| product(e_3,e_2,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1914,c_0_1789]),c_0_103])]),
[final] ).
cnf(c_0_2622,negated_conjecture,
( ~ next(e_3,e_5)
| product(e_2,e_5,e_1)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_1914,c_0_984]),
[final] ).
cnf(c_0_2623,negated_conjecture,
( ~ next(e_3,e_3)
| product(e_2,e_5,e_1)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_1917,c_0_1440]),
[final] ).
cnf(c_0_2624,negated_conjecture,
( ~ next(e_3,e_2)
| product(e_2,e_5,e_1)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_1916,c_0_1200]),
[final] ).
cnf(c_0_2625,negated_conjecture,
( ~ next(e_5,e_1)
| ~ cycle(e_1,e_5)
| product(e_3,e_2,e_4)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1865,c_0_1897]),
[final] ).
cnf(c_0_2626,negated_conjecture,
( ~ next(e_5,e_2)
| ~ cycle(e_2,e_5)
| product(e_3,e_2,e_4)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1865,c_0_2029]),
[final] ).
cnf(c_0_2627,negated_conjecture,
( ~ next(e_5,e_3)
| product(e_3,e_2,e_4)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1866,c_0_1440]),
[final] ).
cnf(c_0_2628,negated_conjecture,
( ~ next(e_5,e_5)
| product(e_3,e_2,e_4)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1865,c_0_984]),
[final] ).
cnf(c_0_2629,negated_conjecture,
( ~ cycle(e_3,e_5)
| product(e_3,e_2,e_4)
| product(e_2,e_5,e_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1334,c_0_2030]),c_0_86])]),
[final] ).
cnf(c_0_2630,negated_conjecture,
( ~ next(e_2,X1)
| ~ cycle(X1,e_1)
| product(e_2,e_5,e_1)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2044,c_0_835]),
[final] ).
cnf(c_0_2631,negated_conjecture,
( ~ next(e_2,X1)
| ~ cycle(X1,e_3)
| product(e_2,e_5,e_1)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2045,c_0_103]),
[final] ).
cnf(c_0_2632,negated_conjecture,
( ~ next(e_2,X1)
| ~ cycle(X1,e_4)
| product(e_2,e_5,e_1)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2046,c_0_903]),
[final] ).
cnf(c_0_2633,negated_conjecture,
( ~ cycle(e_2,e_2)
| product(e_3,e_2,e_4)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_2034,c_0_1200]),
[final] ).
cnf(c_0_2634,negated_conjecture,
( ~ next(e_2,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_5,e_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1741,c_0_1200]),c_0_647]),c_0_131])]),
[final] ).
cnf(c_0_2635,negated_conjecture,
( ~ next(e_2,e_2)
| product(e_3,e_2,e_4)
| product(e_2,e_5,e_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1743,c_0_1200]),c_0_647]),c_0_131])]),
[final] ).
cnf(c_0_2636,negated_conjecture,
( ~ next(e_2,e_4)
| product(e_3,e_2,e_4)
| product(e_2,e_5,e_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_1200]),c_0_647]),c_0_131])]),
[final] ).
cnf(c_0_2637,negated_conjecture,
( ~ next(e_2,e_5)
| product(e_3,e_2,e_4)
| product(e_2,e_5,e_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1744,c_0_1200]),c_0_647]),c_0_131])]),
[final] ).
cnf(c_0_2638,negated_conjecture,
( ~ next(e_5,X1)
| ~ greater(e_2,X2)
| ~ cycle(X1,X2)
| product(e_2,e_4,e_1)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_1515,c_0_1441]),
[final] ).
cnf(c_0_2639,negated_conjecture,
( ~ cycle(e_4,e_5)
| product(e_2,e_4,e_1)
| product(e_3,e_5,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1918,c_0_1789]),c_0_103])]),
[final] ).
cnf(c_0_2640,negated_conjecture,
( ~ next(e_3,e_5)
| product(e_2,e_4,e_1)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_1918,c_0_984]),
[final] ).
cnf(c_0_2641,negated_conjecture,
( ~ next(e_3,e_3)
| product(e_2,e_4,e_1)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_1921,c_0_1441]),
[final] ).
cnf(c_0_2642,negated_conjecture,
( ~ next(e_3,e_2)
| product(e_2,e_4,e_1)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_1920,c_0_1201]),
[final] ).
cnf(c_0_2643,negated_conjecture,
( ~ next(e_5,e_1)
| ~ cycle(e_1,e_5)
| product(e_3,e_5,e_4)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_1868,c_0_1897]),
[final] ).
cnf(c_0_2644,negated_conjecture,
( ~ next(e_5,e_2)
| ~ cycle(e_2,e_5)
| product(e_3,e_5,e_4)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_1868,c_0_2029]),
[final] ).
cnf(c_0_2645,negated_conjecture,
( ~ next(e_5,e_3)
| product(e_3,e_5,e_4)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_1869,c_0_1441]),
[final] ).
cnf(c_0_2646,negated_conjecture,
( ~ next(e_5,e_5)
| product(e_3,e_5,e_4)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_1868,c_0_984]),
[final] ).
cnf(c_0_2647,negated_conjecture,
( ~ cycle(e_3,e_5)
| product(e_3,e_5,e_4)
| product(e_2,e_4,e_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1335,c_0_2030]),c_0_86])]),
[final] ).
cnf(c_0_2648,negated_conjecture,
( ~ next(e_2,X1)
| ~ cycle(X1,e_1)
| product(e_2,e_4,e_1)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_2047,c_0_835]),
[final] ).
cnf(c_0_2649,negated_conjecture,
( ~ next(e_2,X1)
| ~ cycle(X1,e_3)
| product(e_2,e_4,e_1)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_2048,c_0_103]),
[final] ).
cnf(c_0_2650,negated_conjecture,
( ~ next(e_2,X1)
| ~ cycle(X1,e_4)
| product(e_2,e_4,e_1)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_2049,c_0_903]),
[final] ).
cnf(c_0_2651,negated_conjecture,
( ~ cycle(e_2,e_2)
| product(e_3,e_5,e_4)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_2034,c_0_1201]),
[final] ).
cnf(c_0_2652,negated_conjecture,
( ~ next(e_2,e_1)
| product(e_3,e_5,e_4)
| product(e_2,e_4,e_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1741,c_0_1201]),c_0_647]),c_0_131])]),
[final] ).
cnf(c_0_2653,negated_conjecture,
( ~ next(e_2,e_2)
| product(e_3,e_5,e_4)
| product(e_2,e_4,e_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1743,c_0_1201]),c_0_647]),c_0_131])]),
[final] ).
cnf(c_0_2654,negated_conjecture,
( ~ next(e_2,e_4)
| product(e_3,e_5,e_4)
| product(e_2,e_4,e_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_1201]),c_0_647]),c_0_131])]),
[final] ).
cnf(c_0_2655,negated_conjecture,
( ~ next(e_2,e_5)
| product(e_3,e_5,e_4)
| product(e_2,e_4,e_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1744,c_0_1201]),c_0_647]),c_0_131])]),
[final] ).
cnf(c_0_2656,negated_conjecture,
( ~ next(e_5,X1)
| ~ greater(e_2,X2)
| ~ cycle(X1,X2)
| product(e_2,e_5,e_1)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_1515,c_0_1442]),
[final] ).
cnf(c_0_2657,negated_conjecture,
( ~ cycle(e_4,e_5)
| product(e_2,e_5,e_1)
| product(e_2,e_4,e_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1922,c_0_1789]),c_0_103])]),
[final] ).
cnf(c_0_2658,negated_conjecture,
( ~ next(e_3,e_5)
| product(e_2,e_5,e_1)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_1922,c_0_984]),
[final] ).
cnf(c_0_2659,negated_conjecture,
( ~ next(e_3,e_3)
| product(e_2,e_5,e_1)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_1925,c_0_1442]),
[final] ).
cnf(c_0_2660,negated_conjecture,
( ~ next(e_3,e_2)
| product(e_2,e_5,e_1)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_1924,c_0_1202]),
[final] ).
cnf(c_0_2661,negated_conjecture,
( ~ next(e_5,e_1)
| ~ cycle(e_1,e_5)
| product(e_2,e_4,e_1)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1871,c_0_1897]),
[final] ).
cnf(c_0_2662,negated_conjecture,
( ~ next(e_5,e_2)
| ~ cycle(e_2,e_5)
| product(e_2,e_4,e_1)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1871,c_0_2029]),
[final] ).
cnf(c_0_2663,negated_conjecture,
( ~ next(e_5,e_3)
| product(e_2,e_4,e_1)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1872,c_0_1442]),
[final] ).
cnf(c_0_2664,negated_conjecture,
( ~ next(e_5,e_5)
| product(e_2,e_4,e_1)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1871,c_0_984]),
[final] ).
cnf(c_0_2665,negated_conjecture,
( ~ cycle(e_3,e_5)
| product(e_2,e_4,e_1)
| product(e_2,e_5,e_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1336,c_0_2030]),c_0_86])]),
[final] ).
cnf(c_0_2666,negated_conjecture,
( ~ next(e_2,X1)
| ~ cycle(X1,e_1)
| product(e_2,e_5,e_1)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_2050,c_0_835]),
[final] ).
cnf(c_0_2667,negated_conjecture,
( ~ next(e_2,X1)
| ~ cycle(X1,e_3)
| product(e_2,e_5,e_1)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_2051,c_0_103]),
[final] ).
cnf(c_0_2668,negated_conjecture,
( ~ next(e_2,X1)
| ~ cycle(X1,e_4)
| product(e_2,e_5,e_1)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_2052,c_0_903]),
[final] ).
cnf(c_0_2669,negated_conjecture,
( ~ cycle(e_2,e_2)
| product(e_2,e_4,e_1)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_2034,c_0_1202]),
[final] ).
cnf(c_0_2670,negated_conjecture,
( ~ next(e_2,e_1)
| product(e_2,e_4,e_1)
| product(e_2,e_5,e_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1741,c_0_1202]),c_0_647]),c_0_131])]),
[final] ).
cnf(c_0_2671,negated_conjecture,
( ~ next(e_2,e_2)
| product(e_2,e_4,e_1)
| product(e_2,e_5,e_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1743,c_0_1202]),c_0_647]),c_0_131])]),
[final] ).
cnf(c_0_2672,negated_conjecture,
( ~ next(e_2,e_4)
| product(e_2,e_4,e_1)
| product(e_2,e_5,e_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_1202]),c_0_647]),c_0_131])]),
[final] ).
cnf(c_0_2673,negated_conjecture,
( ~ next(e_2,e_5)
| product(e_2,e_4,e_1)
| product(e_2,e_5,e_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1744,c_0_1202]),c_0_647]),c_0_131])]),
[final] ).
cnf(c_0_2674,negated_conjecture,
( ~ next(e_5,X1)
| ~ greater(e_2,X2)
| ~ cycle(X1,X2)
| product(e_2,e_3,e_4)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_1515,c_0_1443]),
[final] ).
cnf(c_0_2675,negated_conjecture,
( ~ cycle(e_4,e_5)
| product(e_2,e_3,e_4)
| product(e_3,e_2,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1926,c_0_1789]),c_0_103])]),
[final] ).
cnf(c_0_2676,negated_conjecture,
( ~ next(e_3,e_5)
| product(e_2,e_3,e_4)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_1926,c_0_984]),
[final] ).
cnf(c_0_2677,negated_conjecture,
( ~ next(e_3,e_3)
| product(e_2,e_3,e_4)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_1929,c_0_1443]),
[final] ).
cnf(c_0_2678,negated_conjecture,
( ~ next(e_3,e_2)
| product(e_2,e_3,e_4)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_1928,c_0_1203]),
[final] ).
cnf(c_0_2679,negated_conjecture,
( ~ next(e_5,e_1)
| ~ cycle(e_1,e_5)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1874,c_0_1897]),
[final] ).
cnf(c_0_2680,negated_conjecture,
( ~ next(e_5,e_2)
| ~ cycle(e_2,e_5)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1874,c_0_2029]),
[final] ).
cnf(c_0_2681,negated_conjecture,
( ~ next(e_5,e_3)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1875,c_0_1443]),
[final] ).
cnf(c_0_2682,negated_conjecture,
( ~ next(e_5,e_5)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1874,c_0_984]),
[final] ).
cnf(c_0_2683,negated_conjecture,
( ~ cycle(e_3,e_5)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1337,c_0_2030]),c_0_86])]),
[final] ).
cnf(c_0_2684,negated_conjecture,
( ~ next(e_2,X1)
| ~ cycle(X1,e_1)
| product(e_2,e_3,e_4)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2053,c_0_835]),
[final] ).
cnf(c_0_2685,negated_conjecture,
( ~ next(e_2,X1)
| ~ cycle(X1,e_3)
| product(e_2,e_3,e_4)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2054,c_0_103]),
[final] ).
cnf(c_0_2686,negated_conjecture,
( ~ next(e_2,X1)
| ~ cycle(X1,e_4)
| product(e_2,e_3,e_4)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2055,c_0_903]),
[final] ).
cnf(c_0_2687,negated_conjecture,
( ~ cycle(e_2,e_2)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_2034,c_0_1203]),
[final] ).
cnf(c_0_2688,negated_conjecture,
( ~ next(e_2,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1741,c_0_1203]),c_0_647]),c_0_131])]),
[final] ).
cnf(c_0_2689,negated_conjecture,
( ~ next(e_2,e_2)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1743,c_0_1203]),c_0_647]),c_0_131])]),
[final] ).
cnf(c_0_2690,negated_conjecture,
( ~ next(e_2,e_4)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_1203]),c_0_647]),c_0_131])]),
[final] ).
cnf(c_0_2691,negated_conjecture,
( ~ next(e_2,e_5)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1744,c_0_1203]),c_0_647]),c_0_131])]),
[final] ).
cnf(c_0_2692,negated_conjecture,
( ~ next(e_5,X1)
| ~ greater(e_2,X2)
| ~ cycle(X1,X2)
| product(e_2,e_3,e_4)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_1515,c_0_1444]),
[final] ).
cnf(c_0_2693,negated_conjecture,
( ~ cycle(e_4,e_5)
| product(e_2,e_3,e_4)
| product(e_3,e_4,e_5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1930,c_0_1789]),c_0_103])]),
[final] ).
cnf(c_0_2694,negated_conjecture,
( ~ next(e_3,e_5)
| product(e_2,e_3,e_4)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_1930,c_0_984]),
[final] ).
cnf(c_0_2695,negated_conjecture,
( ~ next(e_3,e_3)
| product(e_2,e_3,e_4)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_1933,c_0_1444]),
[final] ).
cnf(c_0_2696,negated_conjecture,
( ~ next(e_3,e_2)
| product(e_2,e_3,e_4)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_1932,c_0_1204]),
[final] ).
cnf(c_0_2697,negated_conjecture,
( ~ next(e_5,e_1)
| ~ cycle(e_1,e_5)
| product(e_3,e_4,e_5)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1877,c_0_1897]),
[final] ).
cnf(c_0_2698,negated_conjecture,
( ~ next(e_5,e_2)
| ~ cycle(e_2,e_5)
| product(e_3,e_4,e_5)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1877,c_0_2029]),
[final] ).
cnf(c_0_2699,negated_conjecture,
( ~ next(e_5,e_3)
| product(e_3,e_4,e_5)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1878,c_0_1444]),
[final] ).
cnf(c_0_2700,negated_conjecture,
( ~ next(e_5,e_5)
| product(e_3,e_4,e_5)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1877,c_0_984]),
[final] ).
cnf(c_0_2701,negated_conjecture,
( ~ cycle(e_3,e_5)
| product(e_3,e_4,e_5)
| product(e_2,e_3,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1338,c_0_2030]),c_0_86])]),
[final] ).
cnf(c_0_2702,negated_conjecture,
( ~ next(e_2,X1)
| ~ cycle(X1,e_1)
| product(e_2,e_3,e_4)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_2056,c_0_835]),
[final] ).
cnf(c_0_2703,negated_conjecture,
( ~ next(e_2,X1)
| ~ cycle(X1,e_3)
| product(e_2,e_3,e_4)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_2057,c_0_103]),
[final] ).
cnf(c_0_2704,negated_conjecture,
( ~ next(e_2,X1)
| ~ cycle(X1,e_4)
| product(e_2,e_3,e_4)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_2058,c_0_903]),
[final] ).
cnf(c_0_2705,negated_conjecture,
( ~ cycle(e_2,e_2)
| product(e_3,e_4,e_5)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_2034,c_0_1204]),
[final] ).
cnf(c_0_2706,negated_conjecture,
( ~ next(e_2,e_1)
| product(e_3,e_4,e_5)
| product(e_2,e_3,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1741,c_0_1204]),c_0_647]),c_0_131])]),
[final] ).
cnf(c_0_2707,negated_conjecture,
( ~ next(e_2,e_2)
| product(e_3,e_4,e_5)
| product(e_2,e_3,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1743,c_0_1204]),c_0_647]),c_0_131])]),
[final] ).
cnf(c_0_2708,negated_conjecture,
( ~ next(e_2,e_4)
| product(e_3,e_4,e_5)
| product(e_2,e_3,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_1204]),c_0_647]),c_0_131])]),
[final] ).
cnf(c_0_2709,negated_conjecture,
( ~ next(e_2,e_5)
| product(e_3,e_4,e_5)
| product(e_2,e_3,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1744,c_0_1204]),c_0_647]),c_0_131])]),
[final] ).
cnf(c_0_2710,negated_conjecture,
( ~ next(e_5,X1)
| ~ greater(e_2,X2)
| ~ cycle(X1,X2)
| product(e_2,e_3,e_4)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1515,c_0_1445]),
[final] ).
cnf(c_0_2711,negated_conjecture,
( ~ cycle(e_4,e_5)
| product(e_2,e_3,e_4)
| product(e_3,e_5,e_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1934,c_0_1789]),c_0_103])]),
[final] ).
cnf(c_0_2712,negated_conjecture,
( ~ next(e_3,e_5)
| product(e_2,e_3,e_4)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1934,c_0_984]),
[final] ).
cnf(c_0_2713,negated_conjecture,
( ~ next(e_3,e_3)
| product(e_2,e_3,e_4)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1937,c_0_1445]),
[final] ).
cnf(c_0_2714,negated_conjecture,
( ~ next(e_3,e_2)
| product(e_2,e_3,e_4)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1936,c_0_1205]),
[final] ).
cnf(c_0_2715,negated_conjecture,
( ~ next(e_5,e_1)
| ~ cycle(e_1,e_5)
| product(e_3,e_5,e_1)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1880,c_0_1897]),
[final] ).
cnf(c_0_2716,negated_conjecture,
( ~ next(e_5,e_2)
| ~ cycle(e_2,e_5)
| product(e_3,e_5,e_1)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1880,c_0_2029]),
[final] ).
cnf(c_0_2717,negated_conjecture,
( ~ next(e_5,e_5)
| product(e_3,e_5,e_1)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1880,c_0_984]),
[final] ).
cnf(c_0_2718,negated_conjecture,
( ~ next(e_5,e_3)
| product(e_3,e_5,e_1)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1881,c_0_1445]),
[final] ).
cnf(c_0_2719,negated_conjecture,
( ~ cycle(e_3,e_5)
| product(e_3,e_5,e_1)
| product(e_2,e_3,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1339,c_0_2030]),c_0_86])]),
[final] ).
cnf(c_0_2720,negated_conjecture,
( ~ next(e_2,X1)
| ~ cycle(X1,e_1)
| product(e_2,e_3,e_4)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_2059,c_0_835]),
[final] ).
cnf(c_0_2721,negated_conjecture,
( ~ next(e_2,X1)
| ~ cycle(X1,e_3)
| product(e_2,e_3,e_4)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_2060,c_0_103]),
[final] ).
cnf(c_0_2722,negated_conjecture,
( ~ next(e_2,X1)
| ~ cycle(X1,e_4)
| product(e_2,e_3,e_4)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_2061,c_0_903]),
[final] ).
cnf(c_0_2723,negated_conjecture,
( ~ cycle(e_2,e_2)
| product(e_3,e_5,e_1)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_2034,c_0_1205]),
[final] ).
cnf(c_0_2724,negated_conjecture,
( ~ next(e_2,e_1)
| product(e_3,e_5,e_1)
| product(e_2,e_3,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1741,c_0_1205]),c_0_647]),c_0_131])]),
[final] ).
cnf(c_0_2725,negated_conjecture,
( ~ next(e_2,e_2)
| product(e_3,e_5,e_1)
| product(e_2,e_3,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1743,c_0_1205]),c_0_647]),c_0_131])]),
[final] ).
cnf(c_0_2726,negated_conjecture,
( ~ next(e_2,e_4)
| product(e_3,e_5,e_1)
| product(e_2,e_3,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_1205]),c_0_647]),c_0_131])]),
[final] ).
cnf(c_0_2727,negated_conjecture,
( ~ next(e_2,e_5)
| product(e_3,e_5,e_1)
| product(e_2,e_3,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1744,c_0_1205]),c_0_647]),c_0_131])]),
[final] ).
cnf(c_0_2728,negated_conjecture,
( ~ next(e_5,X1)
| ~ greater(e_2,X2)
| ~ cycle(X1,X2)
| product(e_3,e_5,e_4)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1515,c_0_1446]),
[final] ).
cnf(c_0_2729,negated_conjecture,
( ~ cycle(e_4,e_5)
| product(e_3,e_5,e_4)
| product(e_3,e_5,e_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1938,c_0_1789]),c_0_103])]),
[final] ).
cnf(c_0_2730,negated_conjecture,
( ~ next(e_3,e_5)
| product(e_3,e_5,e_4)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1938,c_0_984]),
[final] ).
cnf(c_0_2731,negated_conjecture,
( ~ next(e_3,e_3)
| product(e_3,e_5,e_4)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1941,c_0_1446]),
[final] ).
cnf(c_0_2732,negated_conjecture,
( ~ next(e_3,e_2)
| product(e_3,e_5,e_4)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1940,c_0_1206]),
[final] ).
cnf(c_0_2733,negated_conjecture,
( ~ next(e_5,e_1)
| ~ cycle(e_1,e_5)
| product(e_3,e_5,e_1)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_1883,c_0_1897]),
[final] ).
cnf(c_0_2734,negated_conjecture,
( ~ next(e_5,e_2)
| ~ cycle(e_2,e_5)
| product(e_3,e_5,e_1)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_1883,c_0_2029]),
[final] ).
cnf(c_0_2735,negated_conjecture,
( ~ next(e_5,e_3)
| product(e_3,e_5,e_1)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_1884,c_0_1446]),
[final] ).
cnf(c_0_2736,negated_conjecture,
( ~ next(e_5,e_5)
| product(e_3,e_5,e_1)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_1883,c_0_984]),
[final] ).
cnf(c_0_2737,negated_conjecture,
( ~ cycle(e_3,e_5)
| product(e_3,e_5,e_1)
| product(e_3,e_5,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1340,c_0_2030]),c_0_86])]),
[final] ).
cnf(c_0_2738,negated_conjecture,
( ~ next(e_2,X1)
| ~ cycle(X1,e_1)
| product(e_3,e_5,e_4)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_2062,c_0_835]),
[final] ).
cnf(c_0_2739,negated_conjecture,
( ~ next(e_2,X1)
| ~ cycle(X1,e_3)
| product(e_3,e_5,e_4)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_2063,c_0_103]),
[final] ).
cnf(c_0_2740,negated_conjecture,
( ~ next(e_2,X1)
| ~ cycle(X1,e_4)
| product(e_3,e_5,e_4)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_2064,c_0_903]),
[final] ).
cnf(c_0_2741,negated_conjecture,
( ~ cycle(e_2,e_2)
| product(e_3,e_5,e_1)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_2034,c_0_1206]),
[final] ).
cnf(c_0_2742,negated_conjecture,
( ~ next(e_2,e_1)
| product(e_3,e_5,e_1)
| product(e_3,e_5,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1741,c_0_1206]),c_0_647]),c_0_131])]),
[final] ).
cnf(c_0_2743,negated_conjecture,
( ~ next(e_2,e_2)
| product(e_3,e_5,e_1)
| product(e_3,e_5,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1743,c_0_1206]),c_0_647]),c_0_131])]),
[final] ).
cnf(c_0_2744,negated_conjecture,
( ~ next(e_2,e_4)
| product(e_3,e_5,e_1)
| product(e_3,e_5,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_1206]),c_0_647]),c_0_131])]),
[final] ).
cnf(c_0_2745,negated_conjecture,
( ~ next(e_2,e_5)
| product(e_3,e_5,e_1)
| product(e_3,e_5,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1744,c_0_1206]),c_0_647]),c_0_131])]),
[final] ).
cnf(c_0_2746,negated_conjecture,
( ~ next(e_5,X1)
| ~ greater(e_2,X2)
| ~ cycle(X1,X2)
| product(e_2,e_3,e_5)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1515,c_0_1447]),
[final] ).
cnf(c_0_2747,negated_conjecture,
( ~ cycle(e_4,e_5)
| product(e_2,e_3,e_5)
| product(e_2,e_3,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1942,c_0_1789]),c_0_103])]),
[final] ).
cnf(c_0_2748,negated_conjecture,
( ~ next(e_3,e_5)
| product(e_2,e_3,e_5)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1942,c_0_984]),
[final] ).
cnf(c_0_2749,negated_conjecture,
( ~ next(e_3,e_3)
| product(e_2,e_3,e_5)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1945,c_0_1447]),
[final] ).
cnf(c_0_2750,negated_conjecture,
( ~ next(e_3,e_2)
| product(e_2,e_3,e_5)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1944,c_0_1207]),
[final] ).
cnf(c_0_2751,negated_conjecture,
( ~ next(e_5,e_1)
| ~ cycle(e_1,e_5)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_1886,c_0_1897]),
[final] ).
cnf(c_0_2752,negated_conjecture,
( ~ next(e_5,e_2)
| ~ cycle(e_2,e_5)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_1886,c_0_2029]),
[final] ).
cnf(c_0_2753,negated_conjecture,
( ~ next(e_5,e_5)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_1886,c_0_984]),
[final] ).
cnf(c_0_2754,negated_conjecture,
( ~ next(e_5,e_3)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_1887,c_0_1447]),
[final] ).
cnf(c_0_2755,negated_conjecture,
( ~ cycle(e_3,e_5)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1341,c_0_2030]),c_0_86])]),
[final] ).
cnf(c_0_2756,negated_conjecture,
( ~ next(e_2,X1)
| ~ cycle(X1,e_1)
| product(e_2,e_3,e_5)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_2065,c_0_835]),
[final] ).
cnf(c_0_2757,negated_conjecture,
( ~ next(e_2,X1)
| ~ cycle(X1,e_3)
| product(e_2,e_3,e_5)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_2066,c_0_103]),
[final] ).
cnf(c_0_2758,negated_conjecture,
( ~ next(e_2,X1)
| ~ cycle(X1,e_4)
| product(e_2,e_3,e_5)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_2067,c_0_903]),
[final] ).
cnf(c_0_2759,negated_conjecture,
( ~ cycle(e_2,e_2)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_2034,c_0_1207]),
[final] ).
cnf(c_0_2760,negated_conjecture,
( ~ next(e_2,e_1)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1741,c_0_1207]),c_0_647]),c_0_131])]),
[final] ).
cnf(c_0_2761,negated_conjecture,
( ~ next(e_2,e_2)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1743,c_0_1207]),c_0_647]),c_0_131])]),
[final] ).
cnf(c_0_2762,negated_conjecture,
( ~ next(e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_1207]),c_0_647]),c_0_131])]),
[final] ).
cnf(c_0_2763,negated_conjecture,
( ~ next(e_2,e_5)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1744,c_0_1207]),c_0_647]),c_0_131])]),
[final] ).
cnf(c_0_2764,negated_conjecture,
( ~ next(e_5,X1)
| ~ greater(e_2,X2)
| ~ cycle(X1,X2)
| product(e_3,e_4,e_5)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_1515,c_0_1448]),
[final] ).
cnf(c_0_2765,negated_conjecture,
( ~ cycle(e_4,e_5)
| product(e_3,e_4,e_5)
| product(e_3,e_5,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1946,c_0_1789]),c_0_103])]),
[final] ).
cnf(c_0_2766,negated_conjecture,
( ~ next(e_3,e_5)
| product(e_3,e_4,e_5)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_1946,c_0_984]),
[final] ).
cnf(c_0_2767,negated_conjecture,
( ~ next(e_3,e_3)
| product(e_3,e_4,e_5)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_1949,c_0_1448]),
[final] ).
cnf(c_0_2768,negated_conjecture,
( ~ next(e_3,e_2)
| product(e_3,e_4,e_5)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_1948,c_0_1208]),
[final] ).
cnf(c_0_2769,negated_conjecture,
( ~ next(e_5,e_1)
| ~ cycle(e_1,e_5)
| product(e_3,e_5,e_4)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_1889,c_0_1897]),
[final] ).
cnf(c_0_2770,negated_conjecture,
( ~ next(e_5,e_2)
| ~ cycle(e_2,e_5)
| product(e_3,e_5,e_4)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_1889,c_0_2029]),
[final] ).
cnf(c_0_2771,negated_conjecture,
( ~ next(e_5,e_3)
| product(e_3,e_5,e_4)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_1890,c_0_1448]),
[final] ).
cnf(c_0_2772,negated_conjecture,
( ~ next(e_5,e_5)
| product(e_3,e_5,e_4)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_1889,c_0_984]),
[final] ).
cnf(c_0_2773,negated_conjecture,
( ~ cycle(e_3,e_5)
| product(e_3,e_5,e_4)
| product(e_3,e_4,e_5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1342,c_0_2030]),c_0_86])]),
[final] ).
cnf(c_0_2774,negated_conjecture,
( ~ next(e_2,X1)
| ~ cycle(X1,e_1)
| product(e_3,e_4,e_5)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_2068,c_0_835]),
[final] ).
cnf(c_0_2775,negated_conjecture,
( ~ next(e_2,X1)
| ~ cycle(X1,e_3)
| product(e_3,e_4,e_5)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_2069,c_0_103]),
[final] ).
cnf(c_0_2776,negated_conjecture,
( ~ next(e_2,X1)
| ~ cycle(X1,e_4)
| product(e_3,e_4,e_5)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_2070,c_0_903]),
[final] ).
cnf(c_0_2777,negated_conjecture,
( ~ cycle(e_2,e_2)
| product(e_3,e_5,e_4)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_2034,c_0_1208]),
[final] ).
cnf(c_0_2778,negated_conjecture,
( ~ next(e_2,e_1)
| product(e_3,e_5,e_4)
| product(e_3,e_4,e_5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1741,c_0_1208]),c_0_647]),c_0_131])]),
[final] ).
cnf(c_0_2779,negated_conjecture,
( ~ next(e_2,e_2)
| product(e_3,e_5,e_4)
| product(e_3,e_4,e_5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1743,c_0_1208]),c_0_647]),c_0_131])]),
[final] ).
cnf(c_0_2780,negated_conjecture,
( ~ next(e_2,e_4)
| product(e_3,e_5,e_4)
| product(e_3,e_4,e_5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_1208]),c_0_647]),c_0_131])]),
[final] ).
cnf(c_0_2781,negated_conjecture,
( ~ next(e_2,e_5)
| product(e_3,e_5,e_4)
| product(e_3,e_4,e_5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1744,c_0_1208]),c_0_647]),c_0_131])]),
[final] ).
cnf(c_0_2782,negated_conjecture,
( ~ next(e_5,X1)
| ~ greater(e_2,X2)
| ~ cycle(X1,X2)
| product(e_2,e_3,e_5)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_1515,c_0_1449]),
[final] ).
cnf(c_0_2783,negated_conjecture,
( ~ cycle(e_4,e_5)
| product(e_2,e_3,e_5)
| product(e_3,e_5,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1950,c_0_1789]),c_0_103])]),
[final] ).
cnf(c_0_2784,negated_conjecture,
( ~ next(e_3,e_5)
| product(e_2,e_3,e_5)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_1950,c_0_984]),
[final] ).
cnf(c_0_2785,negated_conjecture,
( ~ next(e_3,e_3)
| product(e_2,e_3,e_5)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_1953,c_0_1449]),
[final] ).
cnf(c_0_2786,negated_conjecture,
( ~ next(e_3,e_2)
| product(e_2,e_3,e_5)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_1952,c_0_1209]),
[final] ).
cnf(c_0_2787,negated_conjecture,
( ~ next(e_5,e_1)
| ~ cycle(e_1,e_5)
| product(e_3,e_5,e_4)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_1892,c_0_1897]),
[final] ).
cnf(c_0_2788,negated_conjecture,
( ~ next(e_5,e_2)
| ~ cycle(e_2,e_5)
| product(e_3,e_5,e_4)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_1892,c_0_2029]),
[final] ).
cnf(c_0_2789,negated_conjecture,
( ~ next(e_5,e_3)
| product(e_3,e_5,e_4)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_1893,c_0_1449]),
[final] ).
cnf(c_0_2790,negated_conjecture,
( ~ next(e_5,e_5)
| product(e_3,e_5,e_4)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_1892,c_0_984]),
[final] ).
cnf(c_0_2791,negated_conjecture,
( ~ cycle(e_3,e_5)
| product(e_3,e_5,e_4)
| product(e_2,e_3,e_5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1343,c_0_2030]),c_0_86])]),
[final] ).
cnf(c_0_2792,negated_conjecture,
( ~ next(e_2,X1)
| ~ cycle(X1,e_1)
| product(e_2,e_3,e_5)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_2071,c_0_835]),
[final] ).
cnf(c_0_2793,negated_conjecture,
( ~ next(e_2,X1)
| ~ cycle(X1,e_3)
| product(e_2,e_3,e_5)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_2072,c_0_103]),
[final] ).
cnf(c_0_2794,negated_conjecture,
( ~ next(e_2,X1)
| ~ cycle(X1,e_4)
| product(e_2,e_3,e_5)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_2073,c_0_903]),
[final] ).
cnf(c_0_2795,negated_conjecture,
( ~ cycle(e_2,e_2)
| product(e_3,e_5,e_4)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_2034,c_0_1209]),
[final] ).
cnf(c_0_2796,negated_conjecture,
( ~ next(e_2,e_1)
| product(e_3,e_5,e_4)
| product(e_2,e_3,e_5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1741,c_0_1209]),c_0_647]),c_0_131])]),
[final] ).
cnf(c_0_2797,negated_conjecture,
( ~ next(e_2,e_2)
| product(e_3,e_5,e_4)
| product(e_2,e_3,e_5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1743,c_0_1209]),c_0_647]),c_0_131])]),
[final] ).
cnf(c_0_2798,negated_conjecture,
( ~ next(e_2,e_4)
| product(e_3,e_5,e_4)
| product(e_2,e_3,e_5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_1209]),c_0_647]),c_0_131])]),
[final] ).
cnf(c_0_2799,negated_conjecture,
( ~ next(e_2,e_5)
| product(e_3,e_5,e_4)
| product(e_2,e_3,e_5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1744,c_0_1209]),c_0_647]),c_0_131])]),
[final] ).
cnf(c_0_2800,negated_conjecture,
( ~ next(e_5,X1)
| ~ greater(e_2,X2)
| ~ cycle(X1,X2)
| product(e_3,e_2,e_4)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_1515,c_0_1450]),
[final] ).
cnf(c_0_2801,negated_conjecture,
( ~ cycle(e_4,e_5)
| product(e_3,e_2,e_4)
| product(e_3,e_5,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1954,c_0_1789]),c_0_103])]),
[final] ).
cnf(c_0_2802,negated_conjecture,
( ~ next(e_3,e_5)
| product(e_3,e_2,e_4)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_1954,c_0_984]),
[final] ).
cnf(c_0_2803,negated_conjecture,
( ~ next(e_3,e_3)
| product(e_3,e_2,e_4)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_1957,c_0_1450]),
[final] ).
cnf(c_0_2804,negated_conjecture,
( ~ next(e_3,e_2)
| product(e_3,e_2,e_4)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_1956,c_0_1210]),
[final] ).
cnf(c_0_2805,negated_conjecture,
( ~ next(e_5,e_1)
| ~ cycle(e_1,e_5)
| product(e_3,e_5,e_4)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_1895,c_0_1897]),
[final] ).
cnf(c_0_2806,negated_conjecture,
( ~ next(e_5,e_2)
| ~ cycle(e_2,e_5)
| product(e_3,e_5,e_4)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_1895,c_0_2029]),
[final] ).
cnf(c_0_2807,negated_conjecture,
( ~ next(e_5,e_3)
| product(e_3,e_5,e_4)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_1896,c_0_1450]),
[final] ).
cnf(c_0_2808,negated_conjecture,
( ~ next(e_5,e_5)
| product(e_3,e_5,e_4)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_1895,c_0_984]),
[final] ).
cnf(c_0_2809,negated_conjecture,
( ~ cycle(e_3,e_5)
| product(e_3,e_5,e_4)
| product(e_3,e_2,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1344,c_0_2030]),c_0_86])]),
[final] ).
cnf(c_0_2810,negated_conjecture,
( ~ next(e_2,X1)
| ~ cycle(X1,e_1)
| product(e_3,e_2,e_4)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_2074,c_0_835]),
[final] ).
cnf(c_0_2811,negated_conjecture,
( ~ next(e_2,X1)
| ~ cycle(X1,e_3)
| product(e_3,e_2,e_4)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_2075,c_0_103]),
[final] ).
cnf(c_0_2812,negated_conjecture,
( ~ next(e_2,X1)
| ~ cycle(X1,e_4)
| product(e_3,e_2,e_4)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_2076,c_0_903]),
[final] ).
cnf(c_0_2813,negated_conjecture,
( ~ cycle(e_2,e_2)
| product(e_3,e_5,e_4)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2034,c_0_1210]),
[final] ).
cnf(c_0_2814,negated_conjecture,
( ~ next(e_2,e_1)
| product(e_3,e_5,e_4)
| product(e_3,e_2,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1741,c_0_1210]),c_0_647]),c_0_131])]),
[final] ).
cnf(c_0_2815,negated_conjecture,
( ~ next(e_2,e_2)
| product(e_3,e_5,e_4)
| product(e_3,e_2,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1743,c_0_1210]),c_0_647]),c_0_131])]),
[final] ).
cnf(c_0_2816,negated_conjecture,
( ~ next(e_2,e_4)
| product(e_3,e_5,e_4)
| product(e_3,e_2,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_1210]),c_0_647]),c_0_131])]),
[final] ).
cnf(c_0_2817,negated_conjecture,
( ~ next(e_2,e_5)
| product(e_3,e_5,e_4)
| product(e_3,e_2,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1744,c_0_1210]),c_0_647]),c_0_131])]),
[final] ).
cnf(c_0_2818,negated_conjecture,
( ~ product(e_1,e_4,e_3)
| product(e_3,e_5,e_1)
| product(e_2,e_5,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2077,c_0_253]),c_0_391]),
[final] ).
cnf(c_0_2819,negated_conjecture,
( ~ product(e_2,e_1,X1)
| product(X1,e_5,e_1)
| product(e_3,e_5,e_4)
| product(e_4,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_144,c_0_2078]),
[final] ).
cnf(c_0_2820,negated_conjecture,
( ~ product(e_1,e_5,X1)
| product(X1,e_2,e_5)
| product(e_2,e_4,e_1)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_144,c_0_2079]),
[final] ).
cnf(c_0_2821,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_2,e_5,e_1)
| product(e_1,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_2080,c_0_2081]),
[final] ).
cnf(c_0_2822,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_2,e_5,e_1)
| product(e_1,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_2082,c_0_2083]),
[final] ).
cnf(c_0_2823,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_2,e_5,e_1)
| product(e_1,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_2084,c_0_2085]),
[final] ).
cnf(c_0_2824,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_5,e_1)
| product(e_1,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_2086,c_0_1849]),
[final] ).
cnf(c_0_2825,negated_conjecture,
( ~ product(e_3,e_1,X1)
| product(X1,e_4,e_1)
| product(e_2,e_5,e_1)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_1962,c_0_2087]),
[final] ).
cnf(c_0_2826,negated_conjecture,
( ~ product(e_2,e_1,X1)
| product(X1,e_5,e_1)
| product(e_2,e_5,e_1)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_144,c_0_2087]),
[final] ).
cnf(c_0_2827,negated_conjecture,
( ~ product(e_3,e_1,X1)
| product(X1,e_4,e_1)
| product(e_4,e_2,e_1)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_1962,c_0_2088]),
[final] ).
cnf(c_0_2828,plain,
( ~ next(e_5,e_1)
| ~ greater(X1,e_3)
| ~ product(e_3,e_1,X1)
| cycle(e_1,e_2)
| cycle(e_1,e_3)
| cycle(e_1,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1745,c_0_1847]),c_0_143])]),
[final] ).
cnf(c_0_2829,negated_conjecture,
( ~ product(e_2,e_1,X1)
| product(X1,e_5,e_1)
| product(e_4,e_2,e_1)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_144,c_0_2088]),
[final] ).
cnf(c_0_2830,negated_conjecture,
( ~ product(e_3,e_1,X1)
| product(X1,e_4,e_1)
| product(e_4,e_2,e_1)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_1962,c_0_2089]),
[final] ).
cnf(c_0_2831,negated_conjecture,
( ~ product(e_2,e_1,X1)
| product(X1,e_5,e_1)
| product(e_4,e_2,e_1)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_144,c_0_2089]),
[final] ).
cnf(c_0_2832,negated_conjecture,
( ~ product(e_3,e_1,X1)
| product(X1,e_4,e_1)
| product(e_4,e_2,e_1)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_1962,c_0_2090]),
[final] ).
cnf(c_0_2833,negated_conjecture,
( ~ product(e_2,e_1,X1)
| product(X1,e_5,e_1)
| product(e_4,e_2,e_1)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_144,c_0_2090]),
[final] ).
cnf(c_0_2834,negated_conjecture,
( ~ product(e_3,e_1,X1)
| product(X1,e_4,e_1)
| product(e_5,e_2,e_3)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_1962,c_0_2091]),
[final] ).
cnf(c_0_2835,negated_conjecture,
( ~ product(e_2,e_1,X1)
| product(X1,e_5,e_1)
| product(e_5,e_2,e_3)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_144,c_0_2091]),
[final] ).
cnf(c_0_2836,negated_conjecture,
( ~ product(e_3,e_1,X1)
| product(X1,e_4,e_1)
| product(e_3,e_5,e_4)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_1962,c_0_2092]),
[final] ).
cnf(c_0_2837,negated_conjecture,
( ~ product(e_2,e_1,X1)
| product(X1,e_5,e_1)
| product(e_3,e_5,e_4)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_144,c_0_2092]),
[final] ).
cnf(c_0_2838,plain,
( ~ next(e_3,e_1)
| ~ greater(X1,e_3)
| ~ product(e_3,e_1,X1)
| cycle(e_1,e_2)
| cycle(e_1,e_3)
| cycle(e_1,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1992,c_0_1847]),c_0_961])]),
[final] ).
cnf(c_0_2839,negated_conjecture,
( ~ product(e_3,e_1,X1)
| product(X1,e_4,e_1)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_1962,c_0_2093]),
[final] ).
cnf(c_0_2840,negated_conjecture,
( ~ product(e_2,e_1,X1)
| product(X1,e_5,e_1)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_144,c_0_2093]),
[final] ).
cnf(c_0_2841,negated_conjecture,
( ~ product(e_5,e_1,X1)
| product(X1,e_2,e_1)
| product(e_3,e_1,e_4)
| product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_144,c_0_1510]),
[final] ).
cnf(c_0_2842,negated_conjecture,
( ~ product(e_2,e_1,X1)
| product(X1,e_5,e_1)
| product(e_5,e_2,e_3)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_144,c_0_2094]),
[final] ).
cnf(c_0_2843,negated_conjecture,
( ~ product(e_2,e_1,X1)
| product(X1,e_5,e_1)
| product(e_5,e_2,e_3)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_144,c_0_2095]),
[final] ).
cnf(c_0_2844,negated_conjecture,
( ~ product(e_5,e_4,X1)
| product(X1,e_1,e_4)
| product(e_2,e_5,e_1)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_2096,c_0_1075]),
[final] ).
cnf(c_0_2845,negated_conjecture,
( ~ product(e_5,e_4,X1)
| product(X1,e_1,e_4)
| product(e_2,e_3,e_4)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_2096,c_0_1080]),
[final] ).
cnf(c_0_2846,negated_conjecture,
( ~ product(e_5,e_4,X1)
| product(X1,e_1,e_4)
| product(e_2,e_4,e_1)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_2097,c_0_1160]),
[final] ).
cnf(c_0_2847,negated_conjecture,
( ~ product(e_5,e_4,X1)
| product(X1,e_1,e_4)
| product(e_2,e_5,e_1)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_2097,c_0_1535]),
[final] ).
cnf(c_0_2848,negated_conjecture,
( ~ product(e_5,e_4,X1)
| product(X1,e_1,e_4)
| product(e_2,e_5,e_1)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2097,c_0_1129]),
[final] ).
cnf(c_0_2849,negated_conjecture,
( ~ product(e_5,e_4,X1)
| product(X1,e_1,e_4)
| product(e_2,e_5,e_1)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_2097,c_0_1379]),
[final] ).
cnf(c_0_2850,negated_conjecture,
( ~ product(e_5,e_4,X1)
| product(X1,e_1,e_4)
| product(e_2,e_5,e_1)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_2097,c_0_1378]),
[final] ).
cnf(c_0_2851,negated_conjecture,
( ~ product(e_5,e_4,X1)
| product(X1,e_1,e_4)
| product(e_3,e_4,e_5)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_2097,c_0_1300]),
[final] ).
cnf(c_0_2852,negated_conjecture,
( ~ product(e_5,e_4,X1)
| product(X1,e_1,e_4)
| product(e_2,e_3,e_4)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2097,c_0_1397]),
[final] ).
cnf(c_0_2853,negated_conjecture,
( ~ product(e_5,e_4,X1)
| product(X1,e_1,e_4)
| product(e_3,e_5,e_4)
| product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_144,c_0_1471]),
[final] ).
cnf(c_0_2854,negated_conjecture,
( ~ product(e_5,e_4,X1)
| product(X1,e_1,e_4)
| product(e_3,e_5,e_4)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_144,c_0_1470]),
[final] ).
cnf(c_0_2855,negated_conjecture,
( ~ product(e_5,e_4,X1)
| product(X1,e_1,e_4)
| product(e_2,e_4,e_1)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_144,c_0_898]),
[final] ).
cnf(c_0_2856,negated_conjecture,
( ~ product(e_5,e_4,X1)
| product(X1,e_1,e_4)
| product(e_2,e_3,e_5)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_144,c_0_1477]),
[final] ).
cnf(c_0_2857,negated_conjecture,
( ~ product(e_5,e_4,X1)
| product(X1,e_1,e_4)
| product(e_3,e_4,e_5)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_144,c_0_1475]),
[final] ).
cnf(c_0_2858,negated_conjecture,
( ~ product(e_5,e_4,X1)
| product(X1,e_1,e_4)
| product(e_3,e_2,e_4)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_144,c_0_1473]),
[final] ).
cnf(c_0_2859,negated_conjecture,
( ~ product(e_5,e_4,X1)
| product(X1,e_1,e_4)
| product(e_2,e_3,e_5)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_2098,c_0_493]),
[final] ).
cnf(c_0_2860,negated_conjecture,
( ~ product(e_3,e_1,X1)
| product(X1,e_4,e_1)
| product(e_3,e_5,e_4)
| product(e_4,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_144,c_0_873]),
[final] ).
cnf(c_0_2861,negated_conjecture,
( ~ product(e_1,e_2,e_4)
| product(e_2,e_5,e_1)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_148,c_0_2087]),
[final] ).
cnf(c_0_2862,negated_conjecture,
( ~ product(e_1,e_2,e_4)
| product(e_4,e_2,e_1)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_148,c_0_2088]),
[final] ).
cnf(c_0_2863,negated_conjecture,
( ~ product(e_1,e_2,e_4)
| product(e_4,e_2,e_1)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_148,c_0_2089]),
[final] ).
cnf(c_0_2864,negated_conjecture,
( ~ product(e_1,e_2,e_4)
| product(e_4,e_2,e_1)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_148,c_0_2090]),
[final] ).
cnf(c_0_2865,negated_conjecture,
( ~ product(e_1,e_2,e_4)
| product(e_5,e_2,e_3)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_148,c_0_2091]),
[final] ).
cnf(c_0_2866,negated_conjecture,
( ~ product(e_1,e_2,e_4)
| product(e_3,e_5,e_4)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_148,c_0_2092]),
[final] ).
cnf(c_0_2867,negated_conjecture,
( ~ product(e_4,e_1,X1)
| product(X1,e_2,e_1)
| product(e_5,e_2,e_3)
| product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_1966,c_0_1215]),
[final] ).
cnf(c_0_2868,negated_conjecture,
( ~ product(e_4,e_5,X1)
| product(X1,e_3,e_5)
| product(e_5,e_2,e_3)
| product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_1500,c_0_1215]),
[final] ).
cnf(c_0_2869,negated_conjecture,
( ~ product(e_4,e_5,X1)
| product(X1,e_3,e_5)
| product(e_4,e_2,e_1)
| product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_1500,c_0_1372]),
[final] ).
cnf(c_0_2870,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_5,e_1)
| product(e_5,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_2099,c_0_2100]),
[final] ).
cnf(c_0_2871,negated_conjecture,
( ~ product(e_4,e_5,X1)
| product(X1,e_3,e_5)
| product(e_2,e_5,e_1)
| product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_1500,c_0_1371]),
[final] ).
cnf(c_0_2872,negated_conjecture,
( ~ product(e_5,e_1,X1)
| product(X1,e_2,e_1)
| product(e_3,e_5,e_2)
| product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_144,c_0_1752]),
[final] ).
cnf(c_0_2873,negated_conjecture,
( ~ product(e_1,e_4,e_3)
| product(e_3,e_5,e_1)
| product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2101,c_0_253]),c_0_391]),
[final] ).
cnf(c_0_2874,negated_conjecture,
( ~ product(e_4,e_1,X1)
| product(X1,e_3,e_1)
| product(e_2,e_4,e_1)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_144,c_0_1526]),
[final] ).
cnf(c_0_2875,negated_conjecture,
( ~ product(e_5,e_1,X1)
| product(X1,e_2,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_544,c_0_1527]),
[final] ).
cnf(c_0_2876,negated_conjecture,
( ~ product(e_4,e_1,X1)
| product(X1,e_3,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_144,c_0_1527]),
[final] ).
cnf(c_0_2877,negated_conjecture,
( ~ product(e_5,e_1,X1)
| product(X1,e_2,e_1)
| product(e_2,e_4,e_1)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_544,c_0_1528]),
[final] ).
cnf(c_0_2878,negated_conjecture,
( ~ product(e_4,e_1,X1)
| product(X1,e_3,e_1)
| product(e_2,e_4,e_1)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_144,c_0_1528]),
[final] ).
cnf(c_0_2879,negated_conjecture,
( ~ product(e_5,e_1,X1)
| product(X1,e_2,e_1)
| product(e_3,e_5,e_2)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_544,c_0_1529]),
[final] ).
cnf(c_0_2880,negated_conjecture,
( ~ product(e_4,e_1,X1)
| product(X1,e_3,e_1)
| product(e_3,e_5,e_2)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_144,c_0_1529]),
[final] ).
cnf(c_0_2881,negated_conjecture,
( ~ product(e_1,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_148,c_0_2093]),
[final] ).
cnf(c_0_2882,negated_conjecture,
( ~ product(e_1,e_3,e_4)
| product(e_2,e_4,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_2102]),c_0_75]),
[final] ).
cnf(c_0_2883,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_2,e_5,e_1)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_2103,c_0_1026]),
[final] ).
cnf(c_0_2884,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_2,e_5,e_1)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_2103,c_0_615]),
[final] ).
cnf(c_0_2885,negated_conjecture,
( ~ product(e_2,e_1,X1)
| product(X1,e_4,e_1)
| product(e_4,e_5,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_2104]),c_0_2105]),
[final] ).
cnf(c_0_2886,negated_conjecture,
( ~ product(e_1,e_3,e_4)
| product(e_2,e_3,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_2106]),c_0_75]),
[final] ).
cnf(c_0_2887,negated_conjecture,
( ~ product(e_1,e_3,e_4)
| product(e_3,e_2,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_2107]),c_0_75]),
[final] ).
cnf(c_0_2888,negated_conjecture,
( ~ product(e_1,e_3,e_4)
| product(e_3,e_5,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_2108]),c_0_75]),
[final] ).
cnf(c_0_2889,negated_conjecture,
( ~ product(e_1,e_3,e_4)
| product(e_3,e_4,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_2109]),c_0_75]),
[final] ).
cnf(c_0_2890,negated_conjecture,
( ~ product(e_5,e_2,e_1)
| product(e_3,e_1,e_4)
| product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_251,c_0_2110]),
[final] ).
cnf(c_0_2891,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_5,e_4,e_2)
| product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_2111,c_0_1064]),
[final] ).
cnf(c_0_2892,negated_conjecture,
( ~ product(e_5,e_4,e_3)
| product(e_4,e_3,e_1)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_1736,c_0_745]),
[final] ).
cnf(c_0_2893,negated_conjecture,
( ~ product(e_1,e_5,X1)
| product(X1,e_4,e_5)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_144,c_0_1393]),
[final] ).
cnf(c_0_2894,negated_conjecture,
( ~ product(e_5,e_4,e_4)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_135,c_0_1393]),
[final] ).
cnf(c_0_2895,negated_conjecture,
( ~ product(e_5,e_1,e_3)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_296,c_0_1393]),
[final] ).
cnf(c_0_2896,negated_conjecture,
( ~ product(e_2,e_1,X1)
| product(X1,e_4,e_1)
| product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_144,c_0_2112]),
[final] ).
cnf(c_0_2897,negated_conjecture,
( ~ product(e_3,e_1,X1)
| product(X1,e_5,e_1)
| product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_144,c_0_1511]),
[final] ).
cnf(c_0_2898,negated_conjecture,
( ~ product(e_1,e_3,e_4)
| product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_148,c_0_1511]),
[final] ).
cnf(c_0_2899,negated_conjecture,
( ~ product(e_2,e_1,X1)
| product(X1,e_5,e_1)
| product(e_2,e_5,e_1)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_144,c_0_2113]),
[final] ).
cnf(c_0_2900,negated_conjecture,
( ~ product(e_2,e_1,X1)
| product(X1,e_5,e_1)
| product(e_2,e_3,e_1)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_144,c_0_2114]),
[final] ).
cnf(c_0_2901,plain,
( ~ next(e_3,e_3)
| ~ greater(X1,e_3)
| ~ product(e_3,e_1,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2034,c_0_2115]),c_0_1038]),
[final] ).
cnf(c_0_2902,plain,
( ~ next(e_4,e_3)
| ~ greater(X1,e_3)
| ~ product(e_3,e_1,X1)
| cycle(e_4,e_3)
| cycle(e_4,e_0) ),
inference(spm,[status(thm)],[c_0_1989,c_0_1038]),
[final] ).
cnf(c_0_2903,plain,
( ~ next(e_4,e_3)
| cycle(e_4,e_3)
| cycle(e_4,e_0)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_1989,c_0_1677]),
[final] ).
cnf(c_0_2904,plain,
( ~ next(e_5,e_2)
| ~ greater(e_2,e_3)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_2116,c_0_1278]),
[final] ).
cnf(c_0_2905,plain,
( ~ next(e_3,e_1)
| ~ cycle(e_1,e_5)
| product(e_3,e_1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1982,c_0_1897]),c_0_961])]),
[final] ).
cnf(c_0_2906,plain,
( ~ cycle(e_4,e_5)
| product(e_3,e_1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1982,c_0_1789]),c_0_961]),c_0_103])]),
[final] ).
cnf(c_0_2907,plain,
( ~ next(e_3,e_5)
| product(e_3,e_1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1982,c_0_984]),c_0_961])]),
[final] ).
cnf(c_0_2908,plain,
( ~ next(e_3,e_3)
| product(e_3,e_1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1983,c_0_1677]),c_0_86])]),
[final] ).
cnf(c_0_2909,plain,
( ~ next(e_3,e_2)
| product(e_3,e_1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1984,c_0_1278]),c_0_103])]),
[final] ).
cnf(c_0_2910,plain,
( ~ next(e_5,e_1)
| ~ cycle(e_1,e_5)
| product(e_3,e_1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1986,c_0_1897]),c_0_131])]),
[final] ).
cnf(c_0_2911,plain,
( ~ next(e_5,e_2)
| ~ cycle(e_2,e_5)
| product(e_3,e_1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1986,c_0_2029]),c_0_131])]),
[final] ).
cnf(c_0_2912,plain,
( ~ next(e_5,e_2)
| ~ greater(e_3,e_3)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_1986,c_0_1278]),
[final] ).
cnf(c_0_2913,plain,
( ~ next(e_5,e_3)
| product(e_3,e_1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1986,c_0_1677]),c_0_1145])]),
[final] ).
cnf(c_0_2914,plain,
( ~ next(e_5,e_5)
| product(e_3,e_1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1986,c_0_984]),c_0_131])]),
[final] ).
cnf(c_0_2915,plain,
( ~ next(e_4,e_2)
| cycle(e_4,e_4)
| cycle(e_4,e_0)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_1990,c_0_1278]),
[final] ).
cnf(c_0_2916,plain,
( ~ next(e_5,e_2)
| ~ greater(X1,e_3)
| ~ greater(e_2,e_3)
| ~ product(e_3,e_1,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1745,c_0_1278]),c_0_2117]),
[final] ).
cnf(c_0_2917,plain,
( ~ cycle(e_3,e_5)
| product(e_3,e_1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2118,c_0_2030]),c_0_961]),c_0_86])]),
[final] ).
cnf(c_0_2918,plain,
( ~ next(e_2,X1)
| ~ next(X2,e_2)
| ~ cycle(X1,X2)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_812,c_0_1278]),
[final] ).
cnf(c_0_2919,plain,
( ~ cycle(e_2,e_2)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_2034,c_0_1278]),
[final] ).
cnf(c_0_2920,plain,
( ~ next(e_2,e_1)
| product(e_3,e_1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1741,c_0_1278]),c_0_647]),c_0_131])]),
[final] ).
cnf(c_0_2921,plain,
( ~ next(e_2,e_2)
| product(e_3,e_1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1743,c_0_1278]),c_0_647]),c_0_131])]),
[final] ).
cnf(c_0_2922,plain,
( ~ next(e_2,e_4)
| product(e_3,e_1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_1278]),c_0_647]),c_0_131])]),
[final] ).
cnf(c_0_2923,plain,
( ~ next(e_2,e_5)
| product(e_3,e_1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1744,c_0_1278]),c_0_647]),c_0_131])]),
[final] ).
cnf(c_0_2924,plain,
( ~ next(e_2,e_1)
| ~ greater(e_0,e_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1741,c_0_2119]),c_0_647]),c_0_131])]),
[final] ).
cnf(c_0_2925,plain,
( ~ next(e_2,e_2)
| ~ greater(e_0,e_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1743,c_0_2120]),c_0_647]),c_0_131])]),
[final] ).
cnf(c_0_2926,plain,
( ~ next(e_2,e_4)
| ~ greater(e_0,e_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_2121]),c_0_647]),c_0_131])]),
[final] ).
cnf(c_0_2927,plain,
( ~ next(e_2,e_5)
| ~ greater(e_0,e_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1744,c_0_2122]),c_0_647]),c_0_131])]),
[final] ).
cnf(c_0_2928,plain,
( ~ next(e_5,e_3)
| ~ greater(X2,e_3)
| ~ greater(X1,e_3)
| ~ greater(e_2,e_2)
| ~ product(e_3,e_1,X2)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_1745,c_0_1038]),
[final] ).
cnf(c_0_2929,plain,
( ~ next(e_5,e_1)
| ~ greater(X1,e_3)
| ~ cycle(e_1,e_5)
| ~ product(e_3,e_1,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1745,c_0_1897]),c_0_143])]),
[final] ).
cnf(c_0_2930,plain,
( ~ next(e_5,e_2)
| ~ greater(X1,e_3)
| ~ cycle(e_2,e_5)
| ~ product(e_3,e_1,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1745,c_0_2029]),c_0_143])]),
[final] ).
cnf(c_0_2931,plain,
( ~ next(e_5,e_5)
| ~ product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_2123,c_0_1072]),
[final] ).
cnf(c_0_2932,plain,
( ~ next(e_3,e_1)
| ~ greater(X1,e_3)
| ~ cycle(e_1,e_5)
| ~ product(e_3,e_1,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1992,c_0_1897]),c_0_961])]),
[final] ).
cnf(c_0_2933,plain,
( ~ next(e_3,e_2)
| ~ greater(X1,e_3)
| ~ cycle(e_2,e_5)
| ~ product(e_3,e_1,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1992,c_0_2029]),c_0_961])]),
[final] ).
cnf(c_0_2934,negated_conjecture,
( ~ greater(e_2,e_3)
| cycle(e_2,e_0)
| cycle(e_2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1070,c_0_615]),c_0_2124]),
[final] ).
cnf(c_0_2935,plain,
( ~ greater(X1,e_3)
| ~ cycle(e_4,e_5)
| ~ product(e_3,e_1,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1992,c_0_1789]),c_0_961]),c_0_103])]),
[final] ).
cnf(c_0_2936,plain,
( ~ next(e_3,e_5)
| ~ greater(X1,e_3)
| ~ product(e_3,e_1,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1992,c_0_984]),c_0_961])]),
[final] ).
cnf(c_0_2937,plain,
( ~ next(e_3,X1)
| ~ greater(e_0,X2)
| ~ cycle(X1,X2)
| ~ cycle(e_1,e_5)
| cycle(e_3,e_2) ),
inference(spm,[status(thm)],[c_0_1996,c_0_1897]),
[final] ).
cnf(c_0_2938,plain,
( ~ next(e_3,X1)
| ~ greater(e_0,X2)
| ~ cycle(X1,X2)
| ~ cycle(e_2,e_5)
| cycle(e_3,e_2) ),
inference(spm,[status(thm)],[c_0_1434,c_0_2029]),
[final] ).
cnf(c_0_2939,plain,
( ~ next(e_3,X2)
| ~ greater(X1,X3)
| ~ cycle(X2,X3)
| ~ cycle(e_0,X1)
| cycle(e_3,e_2) ),
inference(spm,[status(thm)],[c_0_1328,c_0_131]),
[final] ).
cnf(c_0_2940,negated_conjecture,
( ~ product(e_2,e_3,e_1)
| cycle(e_2,e_0)
| cycle(e_2,e_3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1070,c_0_1067]),c_0_1072])]),
[final] ).
cnf(c_0_2941,plain,
( ~ next(e_3,e_2)
| ~ product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_2125,c_0_1072]),
[final] ).
cnf(c_0_2942,plain,
( ~ next(e_3,e_1)
| ~ product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_2126,c_0_1072]),
[final] ).
cnf(c_0_2943,plain,
( ~ next(e_3,e_5)
| ~ product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_2127,c_0_1072]),
[final] ).
cnf(c_0_2944,plain,
( ~ next(e_3,e_3)
| ~ product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_2128,c_0_1072]),
[final] ).
cnf(c_0_2945,plain,
( ~ next(e_5,X1)
| ~ greater(e_0,X2)
| ~ cycle(X1,X2)
| cycle(e_3,e_2) ),
inference(spm,[status(thm)],[c_0_1515,c_0_1007]),
[final] ).
cnf(c_0_2946,negated_conjecture,
( ~ product(e_3,e_1,e_4)
| product(e_5,e_3,e_2)
| product(e_5,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_867,c_0_2129]),
[final] ).
cnf(c_0_2947,negated_conjecture,
( ~ product(e_2,e_5,X1)
| ~ product(e_3,e_1,e_4)
| product(X1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_144,c_0_2129]),
[final] ).
cnf(c_0_2948,negated_conjecture,
( ~ product(e_3,e_1,e_4)
| ~ product(e_5,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_762,c_0_2129]),
[final] ).
cnf(c_0_2949,negated_conjecture,
( ~ product(e_3,e_1,e_4)
| ~ product(e_1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_148,c_0_1293]),
[final] ).
cnf(c_0_2950,negated_conjecture,
( ~ product(e_2,e_1,X1)
| ~ product(e_3,e_5,e_2)
| product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_144,c_0_2130]),
[final] ).
cnf(c_0_2951,negated_conjecture,
( ~ product(e_3,e_5,e_2)
| ~ product(e_1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_148,c_0_1052]),
[final] ).
cnf(c_0_2952,negated_conjecture,
( ~ product(e_3,e_1,e_4)
| ~ product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_218,c_0_1234]),
[final] ).
cnf(c_0_2953,negated_conjecture,
( ~ product(e_3,e_1,e_4)
| ~ product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_250,c_0_1234]),
[final] ).
cnf(c_0_2954,negated_conjecture,
( ~ product(e_3,e_1,e_4)
| ~ product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_378,c_0_1234]),
[final] ).
cnf(c_0_2955,negated_conjecture,
( ~ product(e_3,e_1,e_4)
| ~ product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_762,c_0_1234]),
[final] ).
cnf(c_0_2956,negated_conjecture,
( ~ product(e_3,e_5,e_2)
| ~ product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_250,c_0_1023]),
[final] ).
cnf(c_0_2957,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_1,e_3,e_5)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1233,c_0_1470]),
[final] ).
cnf(c_0_2958,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_1,e_3,e_5)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_1233,c_0_898]),
[final] ).
cnf(c_0_2959,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_1,e_3,e_5)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_1233,c_0_1477]),
[final] ).
cnf(c_0_2960,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_1,e_3,e_5)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_1233,c_0_1475]),
[final] ).
cnf(c_0_2961,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_1,e_3,e_5)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_1233,c_0_1473]),
[final] ).
cnf(c_0_2962,negated_conjecture,
( ~ product(e_2,e_3,e_1)
| ~ product(e_1,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_251,c_0_1296]),
[final] ).
cnf(c_0_2963,negated_conjecture,
( ~ product(e_2,e_3,e_1)
| ~ product(e_1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_148,c_0_1296]),
[final] ).
cnf(c_0_2964,negated_conjecture,
( ~ product(e_3,e_2,e_5)
| product(e_4,e_5,e_1)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_951,c_0_875]),
[final] ).
cnf(c_0_2965,negated_conjecture,
( ~ product(e_2,e_4,e_5)
| product(e_4,e_5,e_1)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_951,c_0_658]),
[final] ).
cnf(c_0_2966,negated_conjecture,
( ~ product(e_2,e_3,e_1)
| ~ product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_378,c_0_1236]),
[final] ).
cnf(c_0_2967,negated_conjecture,
( ~ product(e_5,e_3,e_4)
| product(e_3,e_5,e_4)
| product(e_4,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_127,c_0_873]),
[final] ).
cnf(c_0_2968,negated_conjecture,
( ~ product(e_5,e_1,X1)
| product(X1,e_3,e_1)
| product(e_2,e_3,e_1)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_144,c_0_1226]),
[final] ).
cnf(c_0_2969,negated_conjecture,
( ~ product(e_2,e_3,e_1)
| cycle(e_3,e_3)
| cycle(e_3,e_2)
| cycle(e_3,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1279,c_0_1067]),c_0_1072])]),
[final] ).
cnf(c_0_2970,negated_conjecture,
( ~ product(e_3,e_5,e_2)
| cycle(e_3,e_3)
| cycle(e_3,e_2)
| cycle(e_3,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1279,c_0_608]),c_0_1072])]),
[final] ).
cnf(c_0_2971,negated_conjecture,
( ~ product(e_3,e_5,X1)
| product(X1,e_1,e_5)
| product(e_3,e_1,e_4)
| product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_1761,c_0_1685]),
[final] ).
cnf(c_0_2972,negated_conjecture,
( ~ product(e_4,e_5,X1)
| product(X1,e_2,e_5)
| product(e_3,e_1,e_4)
| product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_1772,c_0_1685]),
[final] ).
cnf(c_0_2973,negated_conjecture,
( ~ product(e_2,e_5,X1)
| product(X1,e_3,e_5)
| product(e_3,e_1,e_4)
| product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_144,c_0_1685]),
[final] ).
cnf(c_0_2974,negated_conjecture,
( ~ product(e_2,e_1,X1)
| product(X1,e_5,e_1)
| product(e_3,e_5,e_4)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_144,c_0_1676]),
[final] ).
cnf(c_0_2975,negated_conjecture,
( ~ product(e_5,e_3,e_4)
| product(e_5,e_1,e_2)
| product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_1032,c_0_1382]),
[final] ).
cnf(c_0_2976,negated_conjecture,
( ~ product(e_5,e_3,e_4)
| product(e_3,e_4,e_5)
| product(e_5,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_1536,c_0_1382]),
[final] ).
cnf(c_0_2977,negated_conjecture,
( ~ product(e_2,e_3,e_1)
| product(e_5,e_4,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_874,c_0_942]),c_0_320]),
[final] ).
cnf(c_0_2978,negated_conjecture,
( ~ product(e_4,e_5,X1)
| ~ product(e_2,e_3,e_1)
| product(X1,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_1500,c_0_1790]),
[final] ).
cnf(c_0_2979,negated_conjecture,
( ~ product(e_2,e_1,X1)
| product(X1,e_5,e_1)
| product(e_3,e_5,e_2)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_144,c_0_2131]),
[final] ).
cnf(c_0_2980,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_3,e_4,e_5)
| product(e_1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_2132,c_0_197]),
[final] ).
cnf(c_0_2981,negated_conjecture,
( ~ product(e_5,e_4,e_3)
| product(e_4,e_3,e_1)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_2133,c_0_745]),
[final] ).
cnf(c_0_2982,negated_conjecture,
( ~ product(e_5,e_4,e_4)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_135,c_0_1516]),
[final] ).
cnf(c_0_2983,negated_conjecture,
( ~ product(e_5,e_1,e_2)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_234,c_0_1516]),
[final] ).
cnf(c_0_2984,negated_conjecture,
( ~ product(e_5,e_1,e_3)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_296,c_0_1516]),
[final] ).
cnf(c_0_2985,negated_conjecture,
( ~ product(e_2,e_1,X1)
| product(X1,e_5,e_1)
| product(e_3,e_5,e_4)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_144,c_0_2134]),
[final] ).
cnf(c_0_2986,negated_conjecture,
( ~ product(e_3,e_5,X1)
| product(X1,e_4,e_5)
| product(e_2,e_5,e_1)
| product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_144,c_0_1371]),
[final] ).
cnf(c_0_2987,negated_conjecture,
( ~ product(e_3,e_5,X1)
| product(X1,e_4,e_5)
| product(e_4,e_2,e_1)
| product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_144,c_0_1372]),
[final] ).
cnf(c_0_2988,negated_conjecture,
( ~ product(e_3,e_5,X1)
| product(X1,e_4,e_5)
| product(e_5,e_2,e_3)
| product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_144,c_0_1215]),
[final] ).
cnf(c_0_2989,negated_conjecture,
( ~ product(e_3,e_5,X1)
| product(X1,e_4,e_5)
| product(e_3,e_5,e_4)
| product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_144,c_0_1381]),
[final] ).
cnf(c_0_2990,negated_conjecture,
( ~ product(e_5,e_1,X1)
| product(X1,e_2,e_1)
| product(e_3,e_5,e_2)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_544,c_0_2135]),
[final] ).
cnf(c_0_2991,negated_conjecture,
( ~ product(e_4,e_1,X1)
| product(X1,e_3,e_1)
| product(e_3,e_5,e_2)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_144,c_0_2135]),
[final] ).
cnf(c_0_2992,negated_conjecture,
( ~ product(e_4,e_1,X1)
| product(X1,e_3,e_1)
| product(e_2,e_3,e_5)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_144,c_0_2136]),
[final] ).
cnf(c_0_2993,negated_conjecture,
( ~ product(e_4,e_1,X1)
| product(X1,e_3,e_1)
| product(e_3,e_4,e_5)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_144,c_0_2137]),
[final] ).
cnf(c_0_2994,negated_conjecture,
( ~ product(e_4,e_1,X1)
| product(X1,e_3,e_1)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_144,c_0_2138]),
[final] ).
cnf(c_0_2995,negated_conjecture,
( ~ product(e_3,e_5,X1)
| product(X1,e_1,e_5)
| product(e_5,e_3,e_4)
| product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_144,c_0_845]),
[final] ).
cnf(c_0_2996,negated_conjecture,
( ~ product(e_3,e_5,X1)
| product(X1,e_1,e_5)
| product(e_2,e_4,e_1)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_2139,c_0_1017]),
[final] ).
cnf(c_0_2997,negated_conjecture,
( ~ product(e_3,e_5,X1)
| product(X1,e_1,e_5)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_2139,c_0_1010]),
[final] ).
cnf(c_0_2998,negated_conjecture,
( ~ product(e_3,e_5,X1)
| product(X1,e_1,e_5)
| product(e_3,e_1,e_4)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2139,c_0_1016]),
[final] ).
cnf(c_0_2999,negated_conjecture,
( ~ product(e_3,e_5,X1)
| product(X1,e_1,e_5)
| product(e_3,e_1,e_4)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_2139,c_0_1014]),
[final] ).
cnf(c_0_3000,negated_conjecture,
( ~ product(e_3,e_5,X1)
| product(X1,e_1,e_5)
| product(e_3,e_1,e_4)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_2139,c_0_1015]),
[final] ).
cnf(c_0_3001,negated_conjecture,
( ~ product(e_3,e_5,X1)
| product(X1,e_1,e_5)
| product(e_2,e_3,e_1)
| product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_1761,c_0_1302]),
[final] ).
cnf(c_0_3002,negated_conjecture,
( ~ product(e_3,e_5,X1)
| product(X1,e_1,e_5)
| product(e_3,e_5,e_2)
| product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_1761,c_0_1135]),
[final] ).
cnf(c_0_3003,negated_conjecture,
( ~ product(e_3,e_5,X1)
| product(X1,e_1,e_5)
| product(e_3,e_4,e_5)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_1761,c_0_1693]),
[final] ).
cnf(c_0_3004,negated_conjecture,
( ~ product(e_3,e_5,X1)
| product(X1,e_1,e_5)
| product(e_3,e_2,e_4)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_1761,c_0_1694]),
[final] ).
cnf(c_0_3005,negated_conjecture,
( ~ product(e_3,e_5,X1)
| product(X1,e_1,e_5)
| product(e_3,e_5,e_1)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_1761,c_0_1696]),
[final] ).
cnf(c_0_3006,negated_conjecture,
( ~ product(e_3,e_5,X1)
| product(X1,e_1,e_5)
| product(e_2,e_4,e_1)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_1761,c_0_914]),
[final] ).
cnf(c_0_3007,negated_conjecture,
( ~ product(e_3,e_5,X1)
| product(X1,e_1,e_5)
| product(e_2,e_3,e_5)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_1761,c_0_1697]),
[final] ).
cnf(c_0_3008,negated_conjecture,
( ~ product(e_3,e_5,X1)
| product(X1,e_1,e_5)
| product(e_3,e_4,e_5)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_1761,c_0_1698]),
[final] ).
cnf(c_0_3009,negated_conjecture,
( ~ product(e_3,e_5,X1)
| product(X1,e_1,e_5)
| product(e_3,e_5,e_1)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_1761,c_0_1699]),
[final] ).
cnf(c_0_3010,negated_conjecture,
( ~ product(e_3,e_5,X1)
| product(X1,e_1,e_5)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_1761,c_0_1700]),
[final] ).
cnf(c_0_3011,negated_conjecture,
( ~ product(e_3,e_5,X1)
| product(X1,e_1,e_5)
| product(e_2,e_3,e_5)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_2140,c_0_2141]),
[final] ).
cnf(c_0_3012,negated_conjecture,
( ~ product(e_3,e_5,X1)
| product(X1,e_1,e_5)
| product(e_2,e_4,e_1)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_2140,c_0_2142]),
[final] ).
cnf(c_0_3013,negated_conjecture,
( ~ product(e_5,e_3,e_2)
| product(e_3,e_5,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_1728]),c_0_1213]),
[final] ).
cnf(c_0_3014,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_4,e_1)
| product(e_5,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_2143,c_0_759]),
[final] ).
cnf(c_0_3015,negated_conjecture,
( ~ product(e_5,e_2,e_1)
| product(e_2,e_4,e_1)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_251,c_0_2144]),
[final] ).
cnf(c_0_3016,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_3,e_2,e_4)
| product(e_5,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_2145,c_0_759]),
[final] ).
cnf(c_0_3017,negated_conjecture,
( ~ product(e_5,e_2,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_251,c_0_2146]),
[final] ).
cnf(c_0_3018,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_2,e_4,e_1)
| product(e_5,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_2147,c_0_759]),
[final] ).
cnf(c_0_3019,negated_conjecture,
( ~ product(e_5,e_2,e_1)
| product(e_2,e_4,e_1)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_251,c_0_2148]),
[final] ).
cnf(c_0_3020,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_3,e_5,e_2)
| product(e_5,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_2149,c_0_759]),
[final] ).
cnf(c_0_3021,negated_conjecture,
( ~ product(e_5,e_2,e_1)
| product(e_3,e_5,e_2)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_251,c_0_2150]),
[final] ).
cnf(c_0_3022,negated_conjecture,
( ~ product(e_1,e_4,e_3)
| product(e_2,e_3,e_4)
| product(e_4,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2151,c_0_253]),c_0_391]),
[final] ).
cnf(c_0_3023,negated_conjecture,
( ~ product(e_3,e_5,X1)
| product(X1,e_4,e_5)
| product(e_2,e_3,e_4)
| product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_144,c_0_1374]),
[final] ).
cnf(c_0_3024,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_2,e_4,e_1)
| product(e_1,e_3,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2152,c_0_966]),c_0_1071]),
[final] ).
cnf(c_0_3025,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_3,e_5,e_2)
| product(e_1,e_3,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2153,c_0_966]),c_0_2154]),
[final] ).
cnf(c_0_3026,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_3,e_5,e_2)
| product(e_1,e_3,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2155,c_0_966]),c_0_1397]),
[final] ).
cnf(c_0_3027,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_3,e_1,e_4)
| product(e_1,e_3,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2156,c_0_966]),c_0_1078]),
[final] ).
cnf(c_0_3028,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_3,e_5,e_2)
| product(e_1,e_3,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2157,c_0_966]),c_0_1082]),
[final] ).
cnf(c_0_3029,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_3,e_1,e_4)
| product(e_1,e_3,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2158,c_0_966]),c_0_1079]),
[final] ).
cnf(c_0_3030,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_3,e_1,e_4)
| product(e_1,e_3,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2159,c_0_966]),c_0_1080]),
[final] ).
cnf(c_0_3031,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_2,e_3,e_1)
| product(e_1,e_3,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2160,c_0_966]),c_0_1244]),
[final] ).
cnf(c_0_3032,negated_conjecture,
( ~ product(e_3,e_4,X1)
| product(X1,e_1,e_4)
| product(e_3,e_1,e_4)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_144,c_0_2161]),
[final] ).
cnf(c_0_3033,negated_conjecture,
( ~ product(e_3,e_4,X1)
| product(X1,e_1,e_4)
| product(e_4,e_2,e_1)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_144,c_0_2162]),
[final] ).
cnf(c_0_3034,negated_conjecture,
( ~ product(e_4,e_5,X1)
| product(X1,e_2,e_5)
| product(e_3,e_5,e_2)
| product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_1772,c_0_1135]),
[final] ).
cnf(c_0_3035,negated_conjecture,
( ~ product(e_2,e_5,X1)
| product(X1,e_3,e_5)
| product(e_3,e_5,e_2)
| product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_144,c_0_1135]),
[final] ).
cnf(c_0_3036,negated_conjecture,
( ~ product(e_4,e_5,X1)
| product(X1,e_2,e_5)
| product(e_4,e_3,e_1)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_144,c_0_2163]),
[final] ).
cnf(c_0_3037,negated_conjecture,
( ~ product(e_1,e_4,e_3)
| product(e_4,e_3,e_1)
| product(e_5,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2164,c_0_253]),c_0_391]),
[final] ).
cnf(c_0_3038,negated_conjecture,
( ~ product(e_4,e_5,X1)
| product(X1,e_2,e_5)
| product(e_2,e_4,e_1)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_2165,c_0_1017]),
[final] ).
cnf(c_0_3039,negated_conjecture,
( ~ product(e_4,e_5,X1)
| product(X1,e_2,e_5)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_2165,c_0_1010]),
[final] ).
cnf(c_0_3040,negated_conjecture,
( ~ product(e_4,e_5,X1)
| product(X1,e_2,e_5)
| product(e_3,e_1,e_4)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2165,c_0_1016]),
[final] ).
cnf(c_0_3041,negated_conjecture,
( ~ product(e_4,e_5,X1)
| product(X1,e_2,e_5)
| product(e_3,e_1,e_4)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_2165,c_0_1015]),
[final] ).
cnf(c_0_3042,negated_conjecture,
( ~ product(e_4,e_5,X1)
| product(X1,e_2,e_5)
| product(e_3,e_2,e_4)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_1772,c_0_1694]),
[final] ).
cnf(c_0_3043,negated_conjecture,
( ~ product(e_4,e_5,X1)
| product(X1,e_2,e_5)
| product(e_3,e_5,e_1)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_1772,c_0_1696]),
[final] ).
cnf(c_0_3044,negated_conjecture,
( ~ product(e_4,e_5,X1)
| product(X1,e_2,e_5)
| product(e_2,e_4,e_1)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_1772,c_0_914]),
[final] ).
cnf(c_0_3045,negated_conjecture,
( ~ product(e_4,e_5,X1)
| product(X1,e_2,e_5)
| product(e_2,e_3,e_5)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_1772,c_0_1697]),
[final] ).
cnf(c_0_3046,negated_conjecture,
( ~ product(e_4,e_5,X1)
| product(X1,e_2,e_5)
| product(e_3,e_1,e_4)
| product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_1772,c_0_2166]),
[final] ).
cnf(c_0_3047,negated_conjecture,
( ~ product(e_4,e_5,X1)
| product(X1,e_2,e_5)
| product(e_3,e_5,e_1)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_1772,c_0_1699]),
[final] ).
cnf(c_0_3048,negated_conjecture,
( ~ product(e_4,e_5,X1)
| product(X1,e_2,e_5)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_1772,c_0_1700]),
[final] ).
cnf(c_0_3049,negated_conjecture,
( ~ product(e_5,e_4,X1)
| product(X1,e_3,e_4)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_144,c_0_2167]),
[final] ).
cnf(c_0_3050,negated_conjecture,
( ~ product(e_4,e_1,X1)
| product(X1,e_3,e_1)
| product(e_3,e_1,e_4)
| product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_1961,c_0_524]),
[final] ).
cnf(c_0_3051,negated_conjecture,
( ~ product(e_2,e_1,X1)
| product(X1,e_5,e_1)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_144,c_0_2168]),
[final] ).
cnf(c_0_3052,negated_conjecture,
( ~ product(e_1,e_4,e_3)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2169,c_0_253]),c_0_391]),
[final] ).
cnf(c_0_3053,negated_conjecture,
( ~ product(e_5,e_1,X1)
| product(X1,e_2,e_1)
| product(e_2,e_3,e_1)
| product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_144,c_0_1409]),
[final] ).
cnf(c_0_3054,negated_conjecture,
( ~ product(e_1,e_4,e_3)
| product(e_2,e_5,e_1)
| product(e_2,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2170,c_0_253]),c_0_391]),
[final] ).
cnf(c_0_3055,negated_conjecture,
( ~ product(e_1,e_4,e_3)
| product(e_2,e_5,e_1)
| product(e_3,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2171,c_0_253]),c_0_391]),
[final] ).
cnf(c_0_3056,negated_conjecture,
( ~ product(e_1,e_4,e_3)
| product(e_2,e_5,e_1)
| product(e_3,e_4,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2172,c_0_253]),c_0_391]),
[final] ).
cnf(c_0_3057,negated_conjecture,
( ~ product(e_1,e_4,e_3)
| product(e_2,e_5,e_1)
| product(e_2,e_3,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2173,c_0_253]),c_0_391]),
[final] ).
cnf(c_0_3058,negated_conjecture,
( ~ product(e_1,e_4,e_3)
| product(e_2,e_4,e_1)
| product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2174,c_0_253]),c_0_391]),
[final] ).
cnf(c_0_3059,negated_conjecture,
( ~ product(e_1,e_4,e_3)
| product(e_3,e_4,e_5)
| product(e_5,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2175,c_0_253]),c_0_391]),
[final] ).
cnf(c_0_3060,negated_conjecture,
( ~ product(e_5,e_3,X1)
| product(X1,e_2,e_3)
| product(e_2,e_5,e_1)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_144,c_0_1379]),
[final] ).
cnf(c_0_3061,negated_conjecture,
( ~ product(e_3,e_5,X1)
| product(X1,e_4,e_5)
| product(e_2,e_3,e_5)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_144,c_0_1501]),
[final] ).
cnf(c_0_3062,negated_conjecture,
( ~ product(e_5,e_3,X1)
| product(X1,e_2,e_3)
| product(e_2,e_5,e_1)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_144,c_0_1129]),
[final] ).
cnf(c_0_3063,negated_conjecture,
( ~ product(e_5,e_4,X1)
| product(X1,e_2,e_4)
| product(e_2,e_5,e_1)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_1798,c_0_1489]),
[final] ).
cnf(c_0_3064,negated_conjecture,
( ~ product(e_3,e_4,X1)
| product(X1,e_1,e_4)
| product(e_2,e_5,e_1)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_1305,c_0_1489]),
[final] ).
cnf(c_0_3065,negated_conjecture,
( ~ product(e_5,e_3,X1)
| product(X1,e_1,e_3)
| product(e_2,e_5,e_1)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_144,c_0_1489]),
[final] ).
cnf(c_0_3066,negated_conjecture,
( ~ product(e_5,e_3,X1)
| product(X1,e_2,e_3)
| product(e_2,e_5,e_1)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_144,c_0_1378]),
[final] ).
cnf(c_0_3067,negated_conjecture,
( ~ product(e_5,e_4,X1)
| product(X1,e_2,e_4)
| product(e_2,e_5,e_1)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_144,c_0_1770]),
[final] ).
cnf(c_0_3068,negated_conjecture,
( ~ product(e_5,e_3,X1)
| product(X1,e_2,e_3)
| product(e_2,e_5,e_1)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_144,c_0_1535]),
[final] ).
cnf(c_0_3069,negated_conjecture,
( ~ product(e_4,e_5,X1)
| product(X1,e_2,e_5)
| product(e_3,e_5,e_2)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_144,c_0_1519]),
[final] ).
cnf(c_0_3070,negated_conjecture,
( ~ product(e_3,e_5,X1)
| product(X1,e_4,e_5)
| product(e_2,e_3,e_5)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_144,c_0_2176]),
[final] ).
cnf(c_0_3071,negated_conjecture,
( ~ product(e_3,e_4,X1)
| product(X1,e_1,e_4)
| product(e_2,e_3,e_1)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1185,c_0_1513]),
[final] ).
cnf(c_0_3072,negated_conjecture,
( ~ product(e_5,e_3,X1)
| product(X1,e_1,e_3)
| product(e_2,e_3,e_1)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_2177,c_0_1513]),
[final] ).
cnf(c_0_3073,negated_conjecture,
( ~ product(e_5,e_4,X1)
| product(X1,e_2,e_4)
| product(e_2,e_3,e_1)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1825,c_0_1513]),
[final] ).
cnf(c_0_3074,negated_conjecture,
( ~ product(e_2,e_3,X1)
| product(X1,e_4,e_3)
| product(e_2,e_3,e_1)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_144,c_0_1513]),
[final] ).
cnf(c_0_3075,negated_conjecture,
( ~ product(e_4,e_5,X1)
| product(X1,e_2,e_5)
| product(e_2,e_4,e_1)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_2178,c_0_2142]),
[final] ).
cnf(c_0_3076,negated_conjecture,
( ~ product(e_5,e_1,X1)
| product(X1,e_2,e_1)
| product(e_2,e_4,e_1)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_2179,c_0_2142]),
[final] ).
cnf(c_0_3077,negated_conjecture,
( ~ product(e_5,e_2,X1)
| product(X1,e_1,e_2)
| product(e_2,e_4,e_1)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_144,c_0_2142]),
[final] ).
cnf(c_0_3078,negated_conjecture,
( ~ product(e_4,e_1,X1)
| product(X1,e_2,e_1)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_144,c_0_1370]),
[final] ).
cnf(c_0_3079,negated_conjecture,
( ~ product(e_5,e_4,e_2)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_127,c_0_1370]),
[final] ).
cnf(c_0_3080,negated_conjecture,
( ~ product(e_1,e_5,e_2)
| product(e_2,e_3,e_1)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_276,c_0_1226]),
[final] ).
cnf(c_0_3081,negated_conjecture,
( ~ product(e_4,e_5,X1)
| product(X1,e_2,e_5)
| product(e_2,e_3,e_5)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_2178,c_0_2141]),
[final] ).
cnf(c_0_3082,plain,
( ~ next(e_4,e_3)
| cycle(e_4,e_0)
| cycle(e_4,e_2)
| cycle(e_4,e_3)
| cycle(e_4,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_2180,c_0_905])]),
[final] ).
cnf(c_0_3083,plain,
( ~ next(e_4,e_2)
| cycle(e_4,e_0)
| cycle(e_4,e_2)
| cycle(e_4,e_3)
| cycle(e_4,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_2181,c_0_905])]),
[final] ).
cnf(c_0_3084,plain,
( ~ next(e_4,e_1)
| cycle(e_4,e_0)
| cycle(e_4,e_2)
| cycle(e_4,e_3)
| cycle(e_4,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_2182,c_0_905])]),
[final] ).
cnf(c_0_3085,negated_conjecture,
( ~ product(e_5,e_2,X1)
| product(X1,e_1,e_2)
| product(e_2,e_3,e_5)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_144,c_0_2141]),
[final] ).
cnf(c_0_3086,negated_conjecture,
( ~ product(e_4,e_2,e_3)
| product(e_3,e_1,e_4)
| product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_179,c_0_1685]),
[final] ).
cnf(c_0_3087,negated_conjecture,
( ~ product(e_5,e_4,X1)
| product(X1,e_2,e_4)
| product(e_3,e_5,e_4)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_1798,c_0_1357]),
[final] ).
cnf(c_0_3088,negated_conjecture,
( ~ product(e_5,e_4,X1)
| product(X1,e_2,e_4)
| product(e_3,e_5,e_2)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1798,c_0_1082]),
[final] ).
cnf(c_0_3089,negated_conjecture,
( ~ product(e_3,e_2,e_5)
| product(e_3,e_1,e_4)
| product(e_5,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_1469,c_0_1009]),
[final] ).
cnf(c_0_3090,negated_conjecture,
( ~ product(e_2,e_4,e_5)
| product(e_3,e_1,e_4)
| product(e_5,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_1469,c_0_664]),
[final] ).
cnf(c_0_3091,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_3,e_5,e_4)
| product(e_5,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2183,c_0_1381]),c_0_757]),
[final] ).
cnf(c_0_3092,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_3,e_5,e_4)
| product(e_5,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2184,c_0_1381]),c_0_757]),
[final] ).
cnf(c_0_3093,negated_conjecture,
( ~ product(e_1,e_2,e_4)
| product(e_3,e_5,e_4)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_148,c_0_1676]),
[final] ).
cnf(c_0_3094,negated_conjecture,
( ~ product(e_1,e_2,e_4)
| product(e_3,e_5,e_2)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_148,c_0_2131]),
[final] ).
cnf(c_0_3095,negated_conjecture,
( ~ product(e_1,e_2,e_4)
| product(e_3,e_5,e_4)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_148,c_0_2134]),
[final] ).
cnf(c_0_3096,negated_conjecture,
( ~ product(e_5,e_4,e_3)
| product(e_3,e_5,e_2)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_127,c_0_2135]),
[final] ).
cnf(c_0_3097,negated_conjecture,
( ~ product(e_1,e_4,e_2)
| product(e_3,e_5,e_2)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_276,c_0_2135]),
[final] ).
cnf(c_0_3098,plain,
( ~ product(e_4,e_3,e_1)
| product(e_5,e_3,e_4)
| product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_179,c_0_845]),
[final] ).
cnf(c_0_3099,negated_conjecture,
( ~ product(e_5,e_2,e_1)
| product(e_4,e_3,e_1)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_251,c_0_2185]),
[final] ).
cnf(c_0_3100,negated_conjecture,
( ~ product(e_5,e_2,e_1)
| product(e_3,e_4,e_5)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_251,c_0_1755]),
[final] ).
cnf(c_0_3101,negated_conjecture,
( ~ product(e_2,e_5,X1)
| product(X1,e_1,e_5)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_144,c_0_1286]),
[final] ).
cnf(c_0_3102,negated_conjecture,
( ~ product(e_5,e_2,e_1)
| product(e_2,e_3,e_1)
| product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_251,c_0_2186]),
[final] ).
cnf(c_0_3103,negated_conjecture,
( ~ product(e_5,e_2,e_1)
| product(e_2,e_3,e_5)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_251,c_0_1756]),
[final] ).
cnf(c_0_3104,negated_conjecture,
( ~ product(e_5,e_2,e_1)
| product(e_2,e_3,e_1)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_251,c_0_1758]),
[final] ).
cnf(c_0_3105,negated_conjecture,
( ~ product(e_5,e_2,e_1)
| product(e_2,e_3,e_5)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_251,c_0_1760]),
[final] ).
cnf(c_0_3106,negated_conjecture,
( ~ product(e_4,e_3,e_1)
| product(e_2,e_3,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2187,c_0_1695]),c_0_182]),
[final] ).
cnf(c_0_3107,negated_conjecture,
( ~ product(e_4,e_3,e_1)
| product(e_2,e_4,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2187,c_0_1352]),c_0_182]),
[final] ).
cnf(c_0_3108,negated_conjecture,
( ~ product(e_4,e_3,e_1)
| product(e_3,e_4,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2187,c_0_1698]),c_0_182]),
[final] ).
cnf(c_0_3109,negated_conjecture,
( ~ product(e_4,e_3,e_1)
| product(e_3,e_5,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2187,c_0_1699]),c_0_182]),
[final] ).
cnf(c_0_3110,negated_conjecture,
( ~ product(e_4,e_3,e_1)
| product(e_3,e_2,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2187,c_0_1700]),c_0_182]),
[final] ).
cnf(c_0_3111,negated_conjecture,
( ~ product(e_4,e_5,e_2)
| product(e_5,e_3,e_4)
| product(e_5,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1288,c_0_846]),c_0_819]),
[final] ).
cnf(c_0_3112,negated_conjecture,
( ~ product(e_3,e_5,e_2)
| product(e_5,e_3,e_4)
| product(e_5,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1288,c_0_2188]),c_0_819]),
[final] ).
cnf(c_0_3113,negated_conjecture,
( ~ product(e_2,e_5,X1)
| product(X1,e_1,e_5)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_144,c_0_2189]),
[final] ).
cnf(c_0_3114,negated_conjecture,
( ~ product(e_2,e_5,X1)
| product(X1,e_1,e_5)
| product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_144,c_0_1287]),
[final] ).
cnf(c_0_3115,negated_conjecture,
( ~ product(e_3,e_5,X1)
| product(X1,e_1,e_5)
| product(e_5,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_144,c_0_1130]),
[final] ).
cnf(c_0_3116,negated_conjecture,
( ~ product(e_4,e_1,X1)
| product(X1,e_2,e_1)
| product(e_5,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_144,c_0_776]),
[final] ).
cnf(c_0_3117,negated_conjecture,
( ~ product(e_2,e_5,X1)
| ~ product(e_3,e_2,e_4)
| product(X1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_144,c_0_1228]),
[final] ).
cnf(c_0_3118,negated_conjecture,
( ~ product(e_2,e_5,X1)
| ~ product(e_3,e_5,e_1)
| product(X1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_144,c_0_2190]),
[final] ).
cnf(c_0_3119,negated_conjecture,
( ~ product(e_2,e_5,X1)
| ~ product(e_4,e_5,e_2)
| product(X1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_144,c_0_846]),
[final] ).
cnf(c_0_3120,negated_conjecture,
( ~ product(e_2,e_5,X1)
| ~ product(e_3,e_5,e_2)
| product(X1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_144,c_0_2188]),
[final] ).
cnf(c_0_3121,negated_conjecture,
( ~ product(e_5,e_2,e_3)
| ~ product(e_5,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_320,c_0_1525]),
[final] ).
cnf(c_0_3122,negated_conjecture,
( ~ product(e_2,e_5,X1)
| ~ product(e_4,e_3,e_1)
| product(X1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_144,c_0_1786]),
[final] ).
cnf(c_0_3123,negated_conjecture,
( ~ product(e_2,e_3,e_5)
| product(e_5,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_1173,c_0_1348]),
[final] ).
cnf(c_0_3124,negated_conjecture,
( ~ product(e_3,e_5,X1)
| ~ product(e_2,e_3,e_4)
| product(X1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_144,c_0_798]),
[final] ).
cnf(c_0_3125,negated_conjecture,
( ~ product(e_2,e_5,e_1)
| ~ product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_179,c_0_1459]),
[final] ).
cnf(c_0_3126,negated_conjecture,
( ~ product(e_2,e_5,e_1)
| ~ product(e_5,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_320,c_0_1459]),
[final] ).
cnf(c_0_3127,negated_conjecture,
( ~ product(e_2,e_3,e_4)
| ~ product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_179,c_0_798]),
[final] ).
cnf(c_0_3128,negated_conjecture,
( ~ product(e_5,e_2,e_1)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_251,c_0_2191]),
[final] ).
cnf(c_0_3129,negated_conjecture,
( ~ product(e_5,e_3,e_4)
| product(e_5,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_320,c_0_1130]),
[final] ).
cnf(c_0_3130,plain,
( ~ next(e_4,e_4)
| ~ greater(e_0,e_0)
| ~ cycle(e_4,e_5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_2192,c_0_905])]),
[final] ).
cnf(c_0_3131,plain,
( ~ next(e_4,e_3)
| ~ greater(e_0,e_0)
| ~ cycle(e_4,e_5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_2193,c_0_905])]),
[final] ).
cnf(c_0_3132,plain,
( ~ next(e_4,e_2)
| ~ greater(e_0,e_0)
| ~ cycle(e_4,e_5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_2194,c_0_905])]),
[final] ).
cnf(c_0_3133,plain,
( ~ next(e_4,e_1)
| ~ greater(e_0,e_0)
| ~ cycle(e_4,e_5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_2195,c_0_905])]),
[final] ).
cnf(c_0_3134,negated_conjecture,
( ~ product(e_1,e_4,X1)
| product(X1,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_144,c_0_905]),
[final] ).
cnf(c_0_3135,negated_conjecture,
( ~ product(e_4,e_1,X1)
| product(X1,e_3,e_1)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_1961,c_0_718]),
[final] ).
cnf(c_0_3136,negated_conjecture,
( ~ product(e_5,e_4,X1)
| product(X1,e_3,e_4)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_144,c_0_718]),
[final] ).
cnf(c_0_3137,negated_conjecture,
( ~ product(e_4,e_3,e_1)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_2196,c_0_718]),
[final] ).
cnf(c_0_3138,negated_conjecture,
( ~ product(e_3,e_1,e_2)
| product(e_4,e_3,e_1)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_159,c_0_1766]),
[final] ).
cnf(c_0_3139,negated_conjecture,
( ~ product(e_3,e_1,X1)
| product(X1,e_4,e_1)
| product(e_3,e_5,e_4)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_2197,c_0_1357]),
[final] ).
cnf(c_0_3140,negated_conjecture,
( ~ product(e_3,e_1,X1)
| product(X1,e_4,e_1)
| product(e_3,e_5,e_2)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_2197,c_0_1082]),
[final] ).
cnf(c_0_3141,negated_conjecture,
( ~ product(e_3,e_1,X1)
| product(X1,e_4,e_1)
| product(e_3,e_5,e_4)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_2197,c_0_1517]),
[final] ).
cnf(c_0_3142,negated_conjecture,
( ~ product(e_3,e_1,X1)
| product(X1,e_4,e_1)
| product(e_3,e_5,e_2)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_144,c_0_1547]),
[final] ).
cnf(c_0_3143,negated_conjecture,
( ~ product(e_5,e_3,X1)
| product(X1,e_2,e_3)
| product(e_2,e_4,e_1)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_144,c_0_1160]),
[final] ).
cnf(c_0_3144,negated_conjecture,
( ~ product(e_1,e_2,e_5)
| product(e_2,e_4,e_1) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2198,c_0_1225]),c_0_302]),c_0_1284]),
[final] ).
cnf(c_0_3145,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_2,e_3,e_4)
| product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_892,c_0_1374]),
[final] ).
cnf(c_0_3146,negated_conjecture,
( ~ product(e_2,e_4,X1)
| product(X1,e_1,e_4)
| product(e_2,e_4,e_1)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_144,c_0_1017]),
[final] ).
cnf(c_0_3147,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_4,e_1)
| product(e_1,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_2199,c_0_2142]),
[final] ).
cnf(c_0_3148,negated_conjecture,
( ~ product(e_2,e_4,X1)
| product(X1,e_1,e_4)
| product(e_2,e_4,e_1)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_144,c_0_1720]),
[final] ).
cnf(c_0_3149,negated_conjecture,
( ~ product(e_3,e_1,X1)
| product(X1,e_4,e_1)
| product(e_5,e_2,e_3)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_144,c_0_1136]),
[final] ).
cnf(c_0_3150,negated_conjecture,
( ~ product(e_3,e_1,X1)
| product(X1,e_4,e_1)
| product(e_5,e_2,e_3)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_144,c_0_871]),
[final] ).
cnf(c_0_3151,negated_conjecture,
( ~ product(e_2,e_4,X1)
| product(X1,e_1,e_4)
| product(e_2,e_4,e_1)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_144,c_0_1232]),
[final] ).
cnf(c_0_3152,negated_conjecture,
( ~ product(e_4,e_2,X1)
| product(X1,e_1,e_2)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_144,c_0_1405]),
[final] ).
cnf(c_0_3153,negated_conjecture,
( ~ product(e_3,e_5,X1)
| product(X1,e_4,e_5)
| product(e_2,e_3,e_5)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_2200,c_0_493]),
[final] ).
cnf(c_0_3154,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_1)
| product(e_1,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_2201,c_0_2141]),
[final] ).
cnf(c_0_3155,negated_conjecture,
( ~ product(e_4,e_3,e_2)
| product(e_3,e_5,e_2)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_378,c_0_2202]),
[final] ).
cnf(c_0_3156,negated_conjecture,
( ~ product(e_4,e_2,e_3)
| product(e_3,e_5,e_2)
| product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_179,c_0_1135]),
[final] ).
cnf(c_0_3157,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_3,e_5,e_2)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1094,c_0_2203]),
[final] ).
cnf(c_0_3158,negated_conjecture,
( ~ product(e_4,e_2,e_3)
| product(e_2,e_3,e_1)
| product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_179,c_0_1302]),
[final] ).
cnf(c_0_3159,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_5,e_4,e_2)
| product(e_4,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1960,c_0_1064]),c_0_561]),
[final] ).
cnf(c_0_3160,negated_conjecture,
( ~ product(e_3,e_5,e_4)
| product(e_4,e_3,e_1)
| product(e_5,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_1540,c_0_1012]),
[final] ).
cnf(c_0_3161,negated_conjecture,
( ~ product(e_4,e_5,e_2)
| product(e_3,e_2,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_896,c_0_1694]),c_0_181]),
[final] ).
cnf(c_0_3162,negated_conjecture,
( ~ product(e_4,e_5,e_2)
| product(e_3,e_5,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_896,c_0_1696]),c_0_181]),
[final] ).
cnf(c_0_3163,negated_conjecture,
( ~ product(e_4,e_5,e_2)
| product(e_2,e_4,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_896,c_0_914]),c_0_181]),
[final] ).
cnf(c_0_3164,negated_conjecture,
( ~ product(e_4,e_5,X1)
| product(X1,e_2,e_5)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_144,c_0_2204]),
[final] ).
cnf(c_0_3165,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_2,e_3,e_5)
| product(e_5,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_2205,c_0_759]),
[final] ).
cnf(c_0_3166,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_2,e_3,e_5)
| product(e_5,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_2206,c_0_759]),
[final] ).
cnf(c_0_3167,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_5)
| product(e_5,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_2207,c_0_759]),
[final] ).
cnf(c_0_3168,negated_conjecture,
( ~ product(e_5,e_2,e_3)
| product(e_2,e_5,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1227,c_0_870]),c_0_2208]),
[final] ).
cnf(c_0_3169,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_3,e_1,e_4)
| product(e_5,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2209,c_0_759]),c_0_2210]),
[final] ).
cnf(c_0_3170,negated_conjecture,
( ~ product(e_4,e_2,e_1)
| ~ product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_896,c_0_924]),
[final] ).
cnf(c_0_3171,negated_conjecture,
( ~ product(e_4,e_2,e_1)
| ~ product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_2211,c_0_924]),
[final] ).
cnf(c_0_3172,negated_conjecture,
( ~ product(e_5,e_3,e_2)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_244,c_0_2204]),
[final] ).
cnf(c_0_3173,negated_conjecture,
( ~ product(e_2,e_3,e_5)
| ~ product(e_5,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_1797,c_0_1348]),
[final] ).
cnf(c_0_3174,negated_conjecture,
( ~ product(e_3,e_5,e_1)
| ~ product(e_5,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_1797,c_0_1097]),
[final] ).
cnf(c_0_3175,negated_conjecture,
( ~ product(e_5,e_2,e_3)
| product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_2212,c_0_870]),
[final] ).
cnf(c_0_3176,negated_conjecture,
( ~ product(e_5,e_2,e_3)
| product(e_3,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2213,c_0_870]),c_0_456]),
[final] ).
cnf(c_0_3177,negated_conjecture,
( ~ product(e_4,e_5,X1)
| product(X1,e_2,e_5)
| product(e_3,e_1,e_4)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_144,c_0_2214]),
[final] ).
cnf(c_0_3178,negated_conjecture,
( ~ product(e_4,e_5,X1)
| product(X1,e_2,e_5)
| product(e_2,e_3,e_1)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_144,c_0_2215]),
[final] ).
cnf(c_0_3179,negated_conjecture,
( ~ product(e_1,e_4,e_3)
| product(e_3,e_4,e_5)
| product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2216,c_0_253]),c_0_391]),
[final] ).
cnf(c_0_3180,negated_conjecture,
( ~ product(e_3,e_1,X1)
| product(X1,e_4,e_1)
| product(e_2,e_3,e_1)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_144,c_0_1057]),
[final] ).
cnf(c_0_3181,negated_conjecture,
( ~ product(e_3,e_5,X1)
| product(X1,e_1,e_5)
| product(e_3,e_1,e_4)
| product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_144,c_0_1533]),
[final] ).
cnf(c_0_3182,negated_conjecture,
( ~ product(e_5,e_1,X1)
| product(X1,e_3,e_1)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_144,c_0_2217]),
[final] ).
cnf(c_0_3183,negated_conjecture,
( ~ product(e_5,e_4,X1)
| product(X1,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_144,c_0_1182]),
[final] ).
cnf(c_0_3184,negated_conjecture,
( ~ product(e_1,e_3,X1)
| product(X1,e_4,e_3)
| product(e_2,e_3,e_4)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_144,c_0_1080]),
[final] ).
cnf(c_0_3185,negated_conjecture,
( ~ product(e_5,e_1,X1)
| product(X1,e_2,e_1)
| product(e_2,e_3,e_5)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_144,c_0_1399]),
[final] ).
cnf(c_0_3186,negated_conjecture,
( ~ product(e_5,e_1,X1)
| product(X1,e_2,e_1)
| product(e_2,e_3,e_5)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_144,c_0_1224]),
[final] ).
cnf(c_0_3187,negated_conjecture,
( ~ product(e_2,e_4,X1)
| product(X1,e_1,e_4)
| product(e_3,e_5,e_2)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_144,c_0_1767]),
[final] ).
cnf(c_0_3188,negated_conjecture,
( ~ product(e_2,e_4,X1)
| product(X1,e_1,e_4)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_144,c_0_1010]),
[final] ).
cnf(c_0_3189,negated_conjecture,
( ~ product(e_2,e_4,X1)
| product(X1,e_1,e_4)
| product(e_3,e_5,e_2)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_144,c_0_1059]),
[final] ).
cnf(c_0_3190,negated_conjecture,
( ~ product(e_2,e_4,X1)
| product(X1,e_1,e_4)
| product(e_3,e_1,e_4)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_144,c_0_1016]),
[final] ).
cnf(c_0_3191,negated_conjecture,
( ~ product(e_2,e_4,X1)
| product(X1,e_1,e_4)
| product(e_3,e_5,e_2)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_144,c_0_1289]),
[final] ).
cnf(c_0_3192,negated_conjecture,
( ~ product(e_5,e_1,X1)
| product(X1,e_2,e_1)
| product(e_3,e_1,e_4)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_144,c_0_1223]),
[final] ).
cnf(c_0_3193,negated_conjecture,
( ~ product(e_5,e_1,X1)
| product(X1,e_2,e_1)
| product(e_2,e_3,e_1)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_144,c_0_1400]),
[final] ).
cnf(c_0_3194,negated_conjecture,
( ~ product(e_1,e_5,X1)
| product(X1,e_2,e_5)
| product(e_3,e_5,e_4)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_144,c_0_2218]),
[final] ).
cnf(c_0_3195,negated_conjecture,
( ~ product(e_5,e_1,X1)
| product(X1,e_2,e_1)
| product(e_2,e_3,e_5)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_144,c_0_1402]),
[final] ).
cnf(c_0_3196,negated_conjecture,
( ~ product(e_2,e_4,X1)
| product(X1,e_1,e_4)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_144,c_0_1791]),
[final] ).
cnf(c_0_3197,negated_conjecture,
( ~ product(e_2,e_4,X1)
| product(X1,e_1,e_4)
| product(e_2,e_3,e_1)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_144,c_0_1235]),
[final] ).
cnf(c_0_3198,negated_conjecture,
( ~ product(e_2,e_4,X1)
| product(X1,e_1,e_4)
| product(e_3,e_1,e_4)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_144,c_0_1014]),
[final] ).
cnf(c_0_3199,negated_conjecture,
( ~ product(e_2,e_4,X1)
| product(X1,e_1,e_4)
| product(e_3,e_1,e_4)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_144,c_0_1015]),
[final] ).
cnf(c_0_3200,negated_conjecture,
( ~ product(e_5,e_4,X1)
| product(X1,e_2,e_4)
| product(e_4,e_2,e_1)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_144,c_0_2219]),
[final] ).
cnf(c_0_3201,negated_conjecture,
( ~ product(e_5,e_4,X1)
| product(X1,e_2,e_4)
| product(e_3,e_1,e_4)
| product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_144,c_0_970]),
[final] ).
cnf(c_0_3202,negated_conjecture,
( ~ product(e_1,e_4,e_3)
| product(e_4,e_2,e_1) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2220,c_0_253]),c_0_391]),c_0_443]),
[final] ).
cnf(c_0_3203,negated_conjecture,
( ~ product(e_1,e_5,X1)
| product(X1,e_2,e_5)
| product(e_3,e_2,e_4)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_144,c_0_2221]),
[final] ).
cnf(c_0_3204,negated_conjecture,
( ~ product(e_5,e_4,X1)
| product(X1,e_2,e_4)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1825,c_0_1186]),
[final] ).
cnf(c_0_3205,negated_conjecture,
( ~ product(e_1,e_5,X1)
| product(X1,e_4,e_5)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_144,c_0_1304]),
[final] ).
cnf(c_0_3206,negated_conjecture,
( ~ product(e_5,e_4,e_4)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_135,c_0_1304]),
[final] ).
cnf(c_0_3207,negated_conjecture,
( ~ product(e_5,e_1,e_2)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_234,c_0_1304]),
[final] ).
cnf(c_0_3208,negated_conjecture,
( ~ product(e_5,e_1,e_3)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_296,c_0_1304]),
[final] ).
cnf(c_0_3209,negated_conjecture,
( ~ product(e_3,e_4,X1)
| product(X1,e_1,e_4)
| product(e_3,e_5,e_4)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_144,c_0_2222]),
[final] ).
cnf(c_0_3210,negated_conjecture,
( ~ product(e_1,e_5,X1)
| product(X1,e_2,e_5)
| product(e_4,e_3,e_1)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_144,c_0_2223]),
[final] ).
cnf(c_0_3211,negated_conjecture,
( ~ product(e_3,e_1,X1)
| product(X1,e_4,e_1)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_2224,c_0_1186]),
[final] ).
cnf(c_0_3212,negated_conjecture,
( ~ product(e_5,e_3,X1)
| product(X1,e_1,e_3)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_2177,c_0_1186]),
[final] ).
cnf(c_0_3213,negated_conjecture,
( ~ product(e_2,e_3,X1)
| product(X1,e_4,e_3)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_144,c_0_1186]),
[final] ).
cnf(c_0_3214,plain,
( ~ next(e_2,e_5)
| cycle(e_2,e_0)
| cycle(e_2,e_2)
| cycle(e_2,e_3)
| cycle(e_2,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_2225,c_0_647])]),
[final] ).
cnf(c_0_3215,plain,
( ~ next(e_2,e_4)
| cycle(e_2,e_0)
| cycle(e_2,e_2)
| cycle(e_2,e_3)
| cycle(e_2,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_2226,c_0_647])]),
[final] ).
cnf(c_0_3216,negated_conjecture,
( ~ product(e_4,e_3,X1)
| product(X1,e_5,e_3)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_144,c_0_1244]),
[final] ).
cnf(c_0_3217,plain,
( ~ next(e_2,e_1)
| cycle(e_2,e_0)
| cycle(e_2,e_2)
| cycle(e_2,e_3)
| cycle(e_2,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_2227,c_0_647])]),
[final] ).
cnf(c_0_3218,negated_conjecture,
( ~ product(e_1,e_5,X1)
| product(X1,e_2,e_5)
| product(e_3,e_4,e_5)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_144,c_0_2228]),
[final] ).
cnf(c_0_3219,negated_conjecture,
( ~ product(e_2,e_4,X1)
| product(X1,e_1,e_4)
| product(e_2,e_3,e_1)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_144,c_0_1238]),
[final] ).
cnf(c_0_3220,negated_conjecture,
( ~ product(e_3,e_4,X1)
| product(X1,e_1,e_4)
| product(e_4,e_2,e_1)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_144,c_0_1380]),
[final] ).
cnf(c_0_3221,negated_conjecture,
( ~ product(e_2,e_4,X1)
| product(X1,e_1,e_4)
| product(e_2,e_3,e_1)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_144,c_0_1769]),
[final] ).
cnf(c_0_3222,negated_conjecture,
( ~ product(e_1,e_5,X1)
| product(X1,e_2,e_5)
| product(e_4,e_3,e_1)
| product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_144,c_0_2229]),
[final] ).
cnf(c_0_3223,negated_conjecture,
( ~ product(e_1,e_5,X1)
| product(X1,e_2,e_5)
| product(e_3,e_4,e_5)
| product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_144,c_0_2230]),
[final] ).
cnf(c_0_3224,negated_conjecture,
( ~ product(e_4,e_3,e_2)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_179,c_0_2231]),
[final] ).
cnf(c_0_3225,negated_conjecture,
( ~ product(e_1,e_3,X1)
| product(X1,e_4,e_3)
| product(e_3,e_4,e_5)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1377,c_0_1300]),
[final] ).
cnf(c_0_3226,negated_conjecture,
( ~ product(e_5,e_3,X1)
| product(X1,e_2,e_3)
| product(e_3,e_4,e_5)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_144,c_0_1300]),
[final] ).
cnf(c_0_3227,negated_conjecture,
( ~ product(e_5,e_4,X1)
| product(X1,e_2,e_4)
| product(e_3,e_5,e_2)
| product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_144,c_0_2232]),
[final] ).
cnf(c_0_3228,negated_conjecture,
( ~ product(e_5,e_3,X1)
| product(X1,e_1,e_3)
| product(e_3,e_5,e_2)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_144,c_0_1082]),
[final] ).
cnf(c_0_3229,negated_conjecture,
( ~ product(e_3,e_4,X1)
| product(X1,e_1,e_4)
| product(e_3,e_5,e_2)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_144,c_0_2233]),
[final] ).
cnf(c_0_3230,negated_conjecture,
( ~ product(e_3,e_4,X1)
| product(X1,e_1,e_4)
| product(e_3,e_5,e_2)
| product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_144,c_0_1132]),
[final] ).
cnf(c_0_3231,negated_conjecture,
( ~ product(e_2,e_4,X1)
| product(X1,e_1,e_4)
| product(e_3,e_5,e_2)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_144,c_0_1231]),
[final] ).
cnf(c_0_3232,negated_conjecture,
( ~ product(e_4,e_3,e_2)
| product(e_3,e_5,e_2)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_179,c_0_2203]),
[final] ).
cnf(c_0_3233,negated_conjecture,
( ~ product(e_3,e_5,e_4)
| product(e_3,e_4,e_5)
| product(e_5,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_2234,c_0_1012]),
[final] ).
cnf(c_0_3234,negated_conjecture,
( ~ product(e_4,e_3,e_2)
| product(e_5,e_2,e_3)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_179,c_0_1241]),
[final] ).
cnf(c_0_3235,negated_conjecture,
( ~ product(e_4,e_3,e_2)
| product(e_5,e_2,e_3)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_179,c_0_1095]),
[final] ).
cnf(c_0_3236,negated_conjecture,
( ~ product(e_5,e_3,e_2)
| product(e_2,e_3,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_234,c_0_1501]),c_0_1363]),
[final] ).
cnf(c_0_3237,negated_conjecture,
( ~ product(e_3,e_2,e_5)
| product(e_3,e_1,e_4)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_2235,c_0_1009]),
[final] ).
cnf(c_0_3238,negated_conjecture,
( ~ product(e_2,e_4,e_5)
| product(e_3,e_1,e_4)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_2235,c_0_664]),
[final] ).
cnf(c_0_3239,negated_conjecture,
( ~ product(e_3,e_4,e_1)
| product(e_2,e_5,e_1)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_228,c_0_1489]),
[final] ).
cnf(c_0_3240,negated_conjecture,
( product(e_5,e_2,e_3)
| product(e_4,e_2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_848,c_0_987]),c_0_2236]),
[final] ).
cnf(c_0_3241,negated_conjecture,
( ~ product(e_4,e_5,e_2)
| product(e_3,e_4,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_820,c_0_1519]),c_0_181]),
[final] ).
cnf(c_0_3242,negated_conjecture,
( ~ product(e_4,e_2,e_1)
| product(e_2,e_5,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2237,c_0_953]),c_0_1318]),
[final] ).
cnf(c_0_3243,negated_conjecture,
( ~ product(e_1,e_5,X1)
| product(X1,e_4,e_5)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_144,c_0_1805]),
[final] ).
cnf(c_0_3244,negated_conjecture,
( ~ product(e_4,e_5,e_3)
| product(e_2,e_5,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1347,c_0_1128]),c_0_2238]),
[final] ).
cnf(c_0_3245,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_5,e_3,e_4)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_1415,c_0_516]),
[final] ).
cnf(c_0_3246,negated_conjecture,
( ~ product(e_2,e_4,X1)
| ~ product(e_3,e_1,e_4)
| product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_144,c_0_2239]),
[final] ).
cnf(c_0_3247,negated_conjecture,
( ~ product(e_3,e_1,e_4)
| ~ product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_2240,c_0_2239]),
[final] ).
cnf(c_0_3248,negated_conjecture,
( ~ product(e_5,e_3,e_4)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_208,c_0_1805]),
[final] ).
cnf(c_0_3249,negated_conjecture,
( ~ product(e_5,e_4,e_4)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_135,c_0_1805]),
[final] ).
cnf(c_0_3250,negated_conjecture,
( ~ product(e_5,e_1,e_2)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_234,c_0_1805]),
[final] ).
cnf(c_0_3251,negated_conjecture,
( ~ product(e_5,e_1,e_3)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_296,c_0_1805]),
[final] ).
cnf(c_0_3252,negated_conjecture,
( ~ product(e_3,e_4,e_1)
| product(e_2,e_3,e_1)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_228,c_0_1740]),
[final] ).
cnf(c_0_3253,negated_conjecture,
( ~ product(e_3,e_5,e_4)
| product(e_2,e_5,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_320,c_0_1740]),c_0_1101]),
[final] ).
cnf(c_0_3254,negated_conjecture,
( ~ product(e_1,e_5,X1)
| product(X1,e_4,e_5)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_144,c_0_2241]),
[final] ).
cnf(c_0_3255,negated_conjecture,
( ~ product(e_5,e_4,e_4)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_135,c_0_2241]),
[final] ).
cnf(c_0_3256,negated_conjecture,
( ~ product(e_5,e_1,e_2)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_234,c_0_2241]),
[final] ).
cnf(c_0_3257,negated_conjecture,
( ~ product(e_5,e_1,e_3)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_296,c_0_2241]),
[final] ).
cnf(c_0_3258,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_3,e_4,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1361,c_0_1819]),c_0_2242]),
[final] ).
cnf(c_0_3259,negated_conjecture,
( ~ product(e_3,e_2,e_5)
| product(e_2,e_5,e_1)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_1792,c_0_875]),
[final] ).
cnf(c_0_3260,negated_conjecture,
( ~ product(e_2,e_4,e_5)
| product(e_2,e_5,e_1)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_1792,c_0_658]),
[final] ).
cnf(c_0_3261,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_3,e_4,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_211,c_0_1819]),c_0_2242]),
[final] ).
cnf(c_0_3262,negated_conjecture,
( ~ product(e_4,e_1,X1)
| product(X1,e_2,e_1)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_2243,c_0_1554]),
[final] ).
cnf(c_0_3263,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_3,e_4,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_850,c_0_1819]),c_0_1168]),
[final] ).
cnf(c_0_3264,negated_conjecture,
( ~ product(e_3,e_1,X1)
| product(X1,e_5,e_1)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_144,c_0_2244]),
[final] ).
cnf(c_0_3265,negated_conjecture,
( ~ product(e_3,e_1,e_4)
| ~ product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1138,c_0_1178]),
[final] ).
cnf(c_0_3266,negated_conjecture,
( ~ product(e_3,e_5,e_1)
| ~ product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_1347,c_0_1097]),
[final] ).
cnf(c_0_3267,negated_conjecture,
( ~ product(e_2,e_4,X1)
| ~ product(e_3,e_5,e_1)
| product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_144,c_0_2245]),
[final] ).
cnf(c_0_3268,negated_conjecture,
( ~ product(e_3,e_5,e_1)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_1065,c_0_1211]),
[final] ).
cnf(c_0_3269,negated_conjecture,
( ~ product(e_3,e_5,e_1)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_1065,c_0_667]),
[final] ).
cnf(c_0_3270,negated_conjecture,
( ~ product(e_3,e_5,e_1)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_1065,c_0_1089]),
[final] ).
cnf(c_0_3271,negated_conjecture,
( ~ product(e_3,e_2,e_5)
| ~ product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1065,c_0_875]),
[final] ).
cnf(c_0_3272,negated_conjecture,
( ~ product(e_2,e_4,e_5)
| ~ product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1065,c_0_658]),
[final] ).
cnf(c_0_3273,negated_conjecture,
( ~ product(e_3,e_5,e_1)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_1065,c_0_1478]),
[final] ).
cnf(c_0_3274,negated_conjecture,
( ~ product(e_3,e_5,e_1)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_2246,c_0_1033]),
[final] ).
cnf(c_0_3275,negated_conjecture,
( ~ product(e_3,e_5,e_1)
| ~ product(e_5,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_127,c_0_1033]),
[final] ).
cnf(c_0_3276,negated_conjecture,
( ~ product(e_3,e_5,e_1)
| ~ product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_75,c_0_1033]),
[final] ).
cnf(c_0_3277,negated_conjecture,
( ~ product(e_5,e_4,X1)
| product(X1,e_1,e_4)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_144,c_0_978]),
[final] ).
cnf(c_0_3278,negated_conjecture,
( ~ product(e_1,e_3,e_4)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_148,c_0_2244]),
[final] ).
cnf(c_0_3279,negated_conjecture,
( ~ product(e_1,e_3,X1)
| ~ product(e_3,e_5,e_1)
| product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_144,c_0_1003]),
[final] ).
cnf(c_0_3280,negated_conjecture,
( ~ product(e_3,e_5,e_1)
| ~ product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_1818,c_0_1003]),
[final] ).
cnf(c_0_3281,negated_conjecture,
( ~ product(e_4,e_3,e_1)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_250,c_0_978]),
[final] ).
cnf(c_0_3282,negated_conjecture,
( ~ product(e_4,e_5,e_2)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_378,c_0_978]),
[final] ).
cnf(c_0_3283,negated_conjecture,
( ~ product(e_3,e_1,e_2)
| product(e_2,e_4,e_1)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_234,c_0_1071]),
[final] ).
cnf(c_0_3284,negated_conjecture,
( ~ product(e_5,e_1,X1)
| product(X1,e_2,e_1)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_144,c_0_696]),
[final] ).
cnf(c_0_3285,negated_conjecture,
( ~ product(e_2,e_4,X1)
| ~ product(e_3,e_5,e_2)
| product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_144,c_0_2236]),
[final] ).
cnf(c_0_3286,negated_conjecture,
( ~ product(e_4,e_2,e_3)
| product(e_2,e_4,e_1)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_762,c_0_1720]),
[final] ).
cnf(c_0_3287,negated_conjecture,
( ~ product(e_3,e_2,e_5)
| product(e_2,e_3,e_1)
| product(e_5,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_1183,c_0_875]),
[final] ).
cnf(c_0_3288,negated_conjecture,
( ~ product(e_2,e_4,e_5)
| product(e_2,e_3,e_1)
| product(e_5,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_1183,c_0_658]),
[final] ).
cnf(c_0_3289,negated_conjecture,
( ~ product(e_3,e_2,e_5)
| product(e_3,e_5,e_2)
| product(e_5,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_897,c_0_875]),
[final] ).
cnf(c_0_3290,negated_conjecture,
( ~ product(e_2,e_5,e_1)
| product(e_5,e_2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_897,c_0_1056]),c_0_2247]),
[final] ).
cnf(c_0_3291,negated_conjecture,
( ~ product(e_2,e_4,e_5)
| product(e_3,e_5,e_2)
| product(e_5,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_897,c_0_658]),
[final] ).
cnf(c_0_3292,negated_conjecture,
( ~ product(e_2,e_5,e_4)
| product(e_2,e_4,e_1)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_173,c_0_1312]),
[final] ).
cnf(c_0_3293,negated_conjecture,
( ~ product(e_2,e_5,e_4)
| product(e_2,e_4,e_1)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_173,c_0_1315]),
[final] ).
cnf(c_0_3294,negated_conjecture,
( ~ product(e_3,e_1,e_2)
| product(e_2,e_4,e_1)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_234,c_0_849]),
[final] ).
cnf(c_0_3295,negated_conjecture,
( ~ product(e_1,e_5,X1)
| product(X1,e_2,e_5)
| product(e_2,e_3,e_5)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_144,c_0_2248]),
[final] ).
cnf(c_0_3296,negated_conjecture,
( ~ product(e_3,e_5,X1)
| product(X1,e_4,e_5)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_144,c_0_2249]),
[final] ).
cnf(c_0_3297,negated_conjecture,
( ~ product(e_3,e_1,X1)
| product(X1,e_4,e_1)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_1962,c_0_2250]),
[final] ).
cnf(c_0_3298,negated_conjecture,
( ~ product(e_2,e_1,X1)
| product(X1,e_5,e_1)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_144,c_0_2250]),
[final] ).
cnf(c_0_3299,negated_conjecture,
( ~ product(e_2,e_3,e_4)
| product(e_5,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2251,c_0_966]),c_0_599]),
[final] ).
cnf(c_0_3300,negated_conjecture,
( ~ product(e_3,e_2,e_5)
| product(e_2,e_5,e_1)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_1088,c_0_875]),
[final] ).
cnf(c_0_3301,negated_conjecture,
( ~ product(e_2,e_4,e_5)
| product(e_2,e_5,e_1)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_1088,c_0_658]),
[final] ).
cnf(c_0_3302,negated_conjecture,
( ~ product(e_2,e_4,X1)
| product(X1,e_3,e_4)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_144,c_0_2252]),
[final] ).
cnf(c_0_3303,negated_conjecture,
( ~ product(e_5,e_3,X1)
| product(X1,e_1,e_3)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_144,c_0_1554]),
[final] ).
cnf(c_0_3304,negated_conjecture,
( ~ product(e_3,e_2,e_5)
| product(e_2,e_3,e_4)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_1119,c_0_2253]),
[final] ).
cnf(c_0_3305,negated_conjecture,
( ~ product(e_2,e_4,e_5)
| product(e_2,e_3,e_4)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_1119,c_0_732]),
[final] ).
cnf(c_0_3306,negated_conjecture,
( ~ product(e_5,e_3,e_4)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_1824,c_0_2250]),
[final] ).
cnf(c_0_3307,negated_conjecture,
( ~ product(e_1,e_2,e_4)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_148,c_0_2250]),
[final] ).
cnf(c_0_3308,negated_conjecture,
( ~ product(e_1,e_3,X1)
| product(X1,e_2,e_3)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_144,c_0_1819]),
[final] ).
cnf(c_0_3309,negated_conjecture,
( ~ product(e_1,e_5,X1)
| product(X1,e_4,e_5)
| product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_144,c_0_2254]),
[final] ).
cnf(c_0_3310,negated_conjecture,
( ~ product(e_2,e_1,X1)
| product(X1,e_4,e_1)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_144,c_0_2255]),
[final] ).
cnf(c_0_3311,negated_conjecture,
( ~ product(e_2,e_1,X1)
| product(X1,e_4,e_1)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_144,c_0_1479]),
[final] ).
cnf(c_0_3312,negated_conjecture,
( ~ product(e_5,e_3,e_2)
| product(e_3,e_4,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_1801]),c_0_1213]),
[final] ).
cnf(c_0_3313,negated_conjecture,
( ~ product(e_2,e_5,X1)
| ~ product(e_2,e_3,e_5)
| product(X1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_2256,c_0_675]),
[final] ).
cnf(c_0_3314,negated_conjecture,
( ~ product(e_2,e_4,e_1)
| ~ product(e_5,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_762,c_0_1817]),
[final] ).
cnf(c_0_3315,negated_conjecture,
( ~ product(e_4,e_3,X1)
| product(X1,e_1,e_3)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_144,c_0_1120]),
[final] ).
cnf(c_0_3316,negated_conjecture,
( ~ product(e_2,e_5,X1)
| ~ product(e_2,e_5,e_1)
| product(X1,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_943,c_0_1125]),
[final] ).
cnf(c_0_3317,negated_conjecture,
( ~ product(e_2,e_5,X1)
| ~ product(e_2,e_3,e_4)
| product(X1,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_943,c_0_741]),
[final] ).
cnf(c_0_3318,negated_conjecture,
( ~ product(e_4,e_5,X1)
| ~ product(e_2,e_3,e_4)
| product(X1,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_2178,c_0_966]),
[final] ).
cnf(c_0_3319,negated_conjecture,
( ~ product(e_3,e_4,X1)
| product(X1,e_2,e_4)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_2257,c_0_684]),
[final] ).
cnf(c_0_3320,negated_conjecture,
( ~ product(e_3,e_2,e_5)
| product(e_4,e_2,e_1)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_991,c_0_1009]),
[final] ).
cnf(c_0_3321,negated_conjecture,
( ~ product(e_3,e_2,e_5)
| product(e_2,e_3,e_1)
| product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_1497,c_0_1009]),
[final] ).
cnf(c_0_3322,negated_conjecture,
( ~ product(e_4,e_3,X1)
| ~ product(e_3,e_2,e_5)
| product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_144,c_0_2253]),
[final] ).
cnf(c_0_3323,negated_conjecture,
( ~ product(e_4,e_3,X1)
| ~ product(e_2,e_3,e_4)
| product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_144,c_0_816]),
[final] ).
cnf(c_0_3324,negated_conjecture,
( ~ product(e_3,e_5,e_4)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_320,c_0_1554]),
[final] ).
cnf(c_0_3325,negated_conjecture,
( ~ product(e_4,e_3,X1)
| ~ product(e_2,e_4,e_5)
| product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_144,c_0_732]),
[final] ).
cnf(c_0_3326,negated_conjecture,
( ~ product(e_4,e_3,X1)
| ~ product(e_2,e_5,e_1)
| product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_144,c_0_1168]),
[final] ).
cnf(c_0_3327,negated_conjecture,
( ~ product(e_3,e_1,e_4)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_723,c_0_1178]),
[final] ).
cnf(c_0_3328,negated_conjecture,
( ~ product(e_4,e_5,e_3)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_1347,c_0_712]),
[final] ).
cnf(c_0_3329,negated_conjecture,
( ~ product(e_4,e_3,X1)
| ~ product(e_2,e_3,e_1)
| product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_144,c_0_2258]),
[final] ).
cnf(c_0_3330,negated_conjecture,
( ~ product(e_2,e_3,e_1)
| ~ product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_424,c_0_2258]),
[final] ).
cnf(c_0_3331,negated_conjecture,
( ~ product(e_3,e_5,e_2)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_150,c_0_1819]),
[final] ).
cnf(c_0_3332,negated_conjecture,
( ~ product(e_3,e_1,X1)
| product(X1,e_4,e_1)
| product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_1962,c_0_679]),
[final] ).
cnf(c_0_3333,negated_conjecture,
( ~ product(e_2,e_1,X1)
| product(X1,e_5,e_1)
| product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_144,c_0_679]),
[final] ).
cnf(c_0_3334,negated_conjecture,
( ~ product(e_5,e_4,e_4)
| product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_135,c_0_2254]),
[final] ).
cnf(c_0_3335,negated_conjecture,
( ~ product(e_5,e_1,e_2)
| product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_234,c_0_2254]),
[final] ).
cnf(c_0_3336,negated_conjecture,
( ~ product(e_5,e_1,e_3)
| product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_296,c_0_2254]),
[final] ).
cnf(c_0_3337,negated_conjecture,
( ~ product(e_2,e_3,e_5)
| product(e_4,e_5,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1361,c_0_2259]),c_0_2260]),
[final] ).
cnf(c_0_3338,negated_conjecture,
( ~ product(e_2,e_3,e_5)
| product(e_4,e_3,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_211,c_0_2259]),c_0_2260]),
[final] ).
cnf(c_0_3339,negated_conjecture,
( ~ product(e_1,e_2,e_5)
| product(e_3,e_2,e_4) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2261,c_0_1225]),c_0_302]),c_0_1284]),
[final] ).
cnf(c_0_3340,negated_conjecture,
( ~ product(e_1,e_2,e_5)
| product(e_2,e_3,e_5) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_827,c_0_1225]),c_0_302]),c_0_1284]),
[final] ).
cnf(c_0_3341,negated_conjecture,
( ~ product(e_1,e_2,e_5)
| product(e_3,e_4,e_5) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2262,c_0_1225]),c_0_628]),c_0_302]),c_0_1284]),
[final] ).
cnf(c_0_3342,negated_conjecture,
( ~ product(e_2,e_4,X1)
| ~ product(e_2,e_3,e_1)
| product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_144,c_0_1418]),
[final] ).
cnf(c_0_3343,negated_conjecture,
( ~ product(e_2,e_5,X1)
| ~ product(e_2,e_3,e_1)
| product(X1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_144,c_0_1251]),
[final] ).
cnf(c_0_3344,negated_conjecture,
( ~ product(e_2,e_3,e_1)
| ~ product(e_5,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_762,c_0_1251]),
[final] ).
cnf(c_0_3345,negated_conjecture,
( ~ product(e_3,e_2,e_4)
| ~ product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_1347,c_0_1174]),
[final] ).
cnf(c_0_3346,negated_conjecture,
( ~ product(e_2,e_4,e_1)
| ~ product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_1347,c_0_1319]),
[final] ).
cnf(c_0_3347,negated_conjecture,
( ~ product(e_4,e_5,e_3)
| ~ product(e_5,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_320,c_0_705]),
[final] ).
cnf(c_0_3348,negated_conjecture,
( ~ product(e_3,e_2,e_5)
| product(e_4,e_2,e_1)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_1176,c_0_1009]),
[final] ).
cnf(c_0_3349,negated_conjecture,
( ~ product(e_3,e_4,e_5)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_424,c_0_1120]),
[final] ).
cnf(c_0_3350,negated_conjecture,
( ~ product(e_3,e_4,X1)
| product(X1,e_2,e_4)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_2263,c_0_661]),
[final] ).
cnf(c_0_3351,negated_conjecture,
( ~ product(e_2,e_3,X1)
| product(X1,e_5,e_3)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_144,c_0_661]),
[final] ).
cnf(c_0_3352,negated_conjecture,
( ~ product(e_5,e_4,e_3)
| ~ product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_775,c_0_745]),
[final] ).
cnf(c_0_3353,negated_conjecture,
( ~ product(e_2,e_3,e_4)
| ~ product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_123,c_0_756]),
[final] ).
cnf(c_0_3354,negated_conjecture,
( ~ product(e_5,e_1,X1)
| ~ product(e_2,e_3,e_4)
| product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_2179,c_0_966]),
[final] ).
cnf(c_0_3355,negated_conjecture,
( ~ product(e_5,e_4,e_3)
| ~ product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1221,c_0_745]),
[final] ).
cnf(c_0_3356,negated_conjecture,
( ~ product(e_4,e_3,X1)
| product(X1,e_1,e_3)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_144,c_0_1807]),
[final] ).
cnf(c_0_3357,negated_conjecture,
( ~ product(e_1,e_4,e_3)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_228,c_0_2217]),
[final] ).
cnf(c_0_3358,negated_conjecture,
( ~ product(e_1,e_5,e_2)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_276,c_0_2217]),
[final] ).
cnf(c_0_3359,negated_conjecture,
( ~ product(e_4,e_3,e_2)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_250,c_0_1182]),
[final] ).
cnf(c_0_3360,negated_conjecture,
( ~ product(e_3,e_1,X1)
| product(X1,e_4,e_1)
| product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_144,c_0_2264]),
[final] ).
cnf(c_0_3361,negated_conjecture,
( ~ product(e_3,e_2,e_5)
| product(e_3,e_5,e_4)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_1249,c_0_1009]),
[final] ).
cnf(c_0_3362,negated_conjecture,
( ~ product(e_3,e_2,e_5)
| product(e_3,e_5,e_4)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_595,c_0_1009]),
[final] ).
cnf(c_0_3363,negated_conjecture,
( ~ product(e_3,e_2,e_5)
| product(e_3,e_5,e_4)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_539,c_0_1009]),
[final] ).
cnf(c_0_3364,negated_conjecture,
( ~ product(e_2,e_1,X1)
| product(X1,e_5,e_1)
| product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_144,c_0_986]),
[final] ).
cnf(c_0_3365,negated_conjecture,
( ~ product(e_3,e_1,e_4)
| product(e_3,e_5,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_2265]),c_0_150]),
[final] ).
cnf(c_0_3366,negated_conjecture,
( ~ product(e_2,e_4,e_1)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_1562,c_0_684]),
[final] ).
cnf(c_0_3367,negated_conjecture,
( ~ product(e_3,e_1,e_4)
| product(e_2,e_3,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_2266]),c_0_150]),
[final] ).
cnf(c_0_3368,negated_conjecture,
( ~ product(e_3,e_4,X1)
| ~ product(e_3,e_1,e_4)
| product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_144,c_0_1178]),
[final] ).
cnf(c_0_3369,negated_conjecture,
( ~ product(e_3,e_1,e_4)
| ~ product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_1820,c_0_1178]),
[final] ).
cnf(c_0_3370,negated_conjecture,
( ~ product(e_3,e_1,e_4)
| ~ product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_1421,c_0_1178]),
[final] ).
cnf(c_0_3371,negated_conjecture,
( ~ product(e_4,e_2,e_3)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_762,c_0_1791]),
[final] ).
cnf(c_0_3372,negated_conjecture,
( ~ product(e_4,e_2,e_3)
| product(e_2,e_3,e_1)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_762,c_0_1235]),
[final] ).
cnf(c_0_3373,negated_conjecture,
( ~ product(e_5,e_4,X1)
| product(X1,e_2,e_4)
| product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_144,c_0_975]),
[final] ).
cnf(c_0_3374,negated_conjecture,
( ~ product(e_2,e_5,e_4)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_173,c_0_1314]),
[final] ).
cnf(c_0_3375,negated_conjecture,
( ~ product(e_3,e_4,e_1)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_228,c_0_1298]),
[final] ).
cnf(c_0_3376,negated_conjecture,
( ~ product(e_3,e_2,e_5)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_262,c_0_1244]),
[final] ).
cnf(c_0_3377,negated_conjecture,
( ~ product(e_2,e_5,e_4)
| product(e_3,e_4,e_5)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_173,c_0_1521]),
[final] ).
cnf(c_0_3378,negated_conjecture,
( ~ product(e_3,e_4,e_1)
| product(e_3,e_5,e_4)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_228,c_0_1357]),
[final] ).
cnf(c_0_3379,negated_conjecture,
( ~ product(e_2,e_4,X1)
| ~ product(e_2,e_4,e_1)
| product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_2267,c_0_912]),
[final] ).
cnf(c_0_3380,negated_conjecture,
( ~ product(e_4,e_2,e_3)
| product(e_2,e_3,e_1)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_762,c_0_1238]),
[final] ).
cnf(c_0_3381,negated_conjecture,
( ~ product(e_4,e_2,e_3)
| product(e_2,e_3,e_1)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_762,c_0_1769]),
[final] ).
cnf(c_0_3382,negated_conjecture,
( ~ product(e_3,e_4,X1)
| product(X1,e_1,e_4)
| product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_144,c_0_1560]),
[final] ).
cnf(c_0_3383,negated_conjecture,
( ~ product(e_2,e_1,X1)
| ~ product(e_5,e_3,e_4)
| product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_144,c_0_2268]),
[final] ).
cnf(c_0_3384,negated_conjecture,
( ~ product(e_2,e_1,X1)
| ~ product(e_3,e_2,e_5)
| product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_144,c_0_875]),
[final] ).
cnf(c_0_3385,negated_conjecture,
( ~ product(e_2,e_4,X1)
| ~ product(e_2,e_3,e_5)
| product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_144,c_0_685]),
[final] ).
cnf(c_0_3386,negated_conjecture,
( ~ product(e_5,e_4,X1)
| ~ product(e_2,e_3,e_5)
| product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2269,c_0_675]),
[final] ).
cnf(c_0_3387,negated_conjecture,
( ~ product(e_4,e_1,X1)
| ~ product(e_2,e_3,e_5)
| product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_2270,c_0_675]),
[final] ).
cnf(c_0_3388,negated_conjecture,
( ~ product(e_3,e_4,X1)
| ~ product(e_2,e_3,e_5)
| product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_2271,c_0_675]),
[final] ).
cnf(c_0_3389,negated_conjecture,
( ~ product(e_2,e_3,X1)
| ~ product(e_2,e_3,e_5)
| product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_2272,c_0_675]),
[final] ).
cnf(c_0_3390,negated_conjecture,
( ~ product(e_3,e_5,X1)
| ~ product(e_2,e_3,e_5)
| product(X1,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_2273,c_0_675]),
[final] ).
cnf(c_0_3391,negated_conjecture,
( ~ product(e_5,e_3,X1)
| ~ product(e_2,e_3,e_5)
| product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_2274,c_0_675]),
[final] ).
cnf(c_0_3392,negated_conjecture,
( ~ product(e_4,e_2,X1)
| ~ product(e_2,e_3,e_5)
| product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_144,c_0_675]),
[final] ).
cnf(c_0_3393,negated_conjecture,
( ~ product(e_4,e_3,X1)
| ~ product(e_2,e_3,e_5)
| product(X1,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_144,c_0_1827]),
[final] ).
cnf(c_0_3394,negated_conjecture,
( ~ product(e_2,e_3,e_5)
| ~ product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_228,c_0_2275]),
[final] ).
cnf(c_0_3395,negated_conjecture,
( ~ product(e_2,e_3,e_5)
| ~ product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_320,c_0_2275]),
[final] ).
cnf(c_0_3396,negated_conjecture,
( ~ product(e_1,e_3,X1)
| ~ product(e_2,e_3,e_5)
| product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_144,c_0_2259]),
[final] ).
cnf(c_0_3397,negated_conjecture,
( ~ product(e_3,e_1,X1)
| ~ product(e_2,e_3,e_5)
| product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_144,c_0_660]),
[final] ).
cnf(c_0_3398,negated_conjecture,
( ~ product(e_2,e_3,e_5)
| ~ product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_262,c_0_1827]),
[final] ).
cnf(c_0_3399,negated_conjecture,
( ~ product(e_2,e_3,e_5)
| ~ product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_150,c_0_2259]),
[final] ).
cnf(c_0_3400,negated_conjecture,
( ~ product(e_2,e_5,e_4)
| product(e_3,e_5,e_2)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_173,c_0_1518]),
[final] ).
cnf(c_0_3401,negated_conjecture,
( ~ product(e_2,e_3,e_4)
| ~ product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_762,c_0_741]),
[final] ).
cnf(c_0_3402,negated_conjecture,
( ~ product(e_2,e_4,e_1)
| ~ product(e_5,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_127,c_0_2276]),
[final] ).
cnf(c_0_3403,negated_conjecture,
( ~ product(e_2,e_4,e_1)
| ~ product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_251,c_0_2276]),
[final] ).
cnf(c_0_3404,negated_conjecture,
( ~ product(e_5,e_3,X1)
| ~ product(e_2,e_5,e_1)
| product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_144,c_0_2277]),
[final] ).
cnf(c_0_3405,negated_conjecture,
( ~ product(e_2,e_4,X1)
| ~ product(e_2,e_3,e_4)
| product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_2278,c_0_966]),
[final] ).
cnf(c_0_3406,negated_conjecture,
( ~ product(e_1,e_3,X1)
| ~ product(e_2,e_5,e_1)
| product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_144,c_0_1810]),
[final] ).
cnf(c_0_3407,negated_conjecture,
( ~ product(e_3,e_4,e_5)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_424,c_0_1807]),
[final] ).
cnf(c_0_3408,negated_conjecture,
( ~ product(e_2,e_4,e_5)
| product(e_3,e_5,e_4)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_1249,c_0_664]),
[final] ).
cnf(c_0_3409,negated_conjecture,
( ~ product(e_2,e_4,e_5)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1008,c_0_664]),c_0_628]),
[final] ).
cnf(c_0_3410,negated_conjecture,
( ~ product(e_2,e_4,e_5)
| product(e_4,e_2,e_1)
| product(e_3,e_5,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_773,c_0_664]),c_0_628]),
[final] ).
cnf(c_0_3411,negated_conjecture,
( ~ product(e_2,e_4,e_5)
| product(e_3,e_5,e_4)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_595,c_0_664]),
[final] ).
cnf(c_0_3412,negated_conjecture,
( ~ product(e_2,e_4,e_5)
| product(e_3,e_1,e_4)
| product(e_4,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_854,c_0_664]),c_0_628]),
[final] ).
cnf(c_0_3413,negated_conjecture,
( ~ product(e_2,e_4,e_5)
| product(e_4,e_2,e_1)
| product(e_2,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_728,c_0_664]),c_0_628]),
[final] ).
cnf(c_0_3414,negated_conjecture,
( ~ product(e_2,e_4,e_5)
| product(e_3,e_5,e_4)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_539,c_0_664]),
[final] ).
cnf(c_0_3415,negated_conjecture,
( ~ product(e_2,e_4,e_1)
| product(e_4,e_5,e_2) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_934,c_0_1319]),c_0_628]),c_0_1562]),
[final] ).
cnf(c_0_3416,negated_conjecture,
( ~ product(e_2,e_4,e_1)
| product(e_4,e_3,e_1) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1001,c_0_1319]),c_0_628]),c_0_1562]),
[final] ).
cnf(c_0_3417,negated_conjecture,
( ~ product(e_2,e_1,X1)
| product(X1,e_4,e_1)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_144,c_0_1089]),
[final] ).
cnf(c_0_3418,negated_conjecture,
( ~ product(e_4,e_1,X1)
| product(X1,e_2,e_1)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_144,c_0_758]),
[final] ).
cnf(c_0_3419,negated_conjecture,
( ~ product(e_2,e_5,X1)
| product(X1,e_1,e_5)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_144,c_0_841]),
[final] ).
cnf(c_0_3420,negated_conjecture,
( ~ product(e_4,e_5,X1)
| product(X1,e_3,e_5)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_144,c_0_876]),
[final] ).
cnf(c_0_3421,negated_conjecture,
( ~ product(e_2,e_4,X1)
| product(X1,e_3,e_4)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_144,c_0_2279]),
[final] ).
cnf(c_0_3422,negated_conjecture,
( ~ product(e_2,e_1,X1)
| product(X1,e_5,e_1)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_144,c_0_636]),
[final] ).
cnf(c_0_3423,negated_conjecture,
( ~ product(e_3,e_5,X1)
| product(X1,e_2,e_5)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_144,c_0_2280]),
[final] ).
cnf(c_0_3424,negated_conjecture,
( ~ product(e_5,e_3,e_4)
| product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_127,c_0_2264]),
[final] ).
cnf(c_0_3425,negated_conjecture,
( ~ product(e_4,e_3,X1)
| product(X1,e_1,e_3)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_144,c_0_2281]),
[final] ).
cnf(c_0_3426,negated_conjecture,
( ~ product(e_2,e_5,e_1)
| product(e_2,e_3,e_4) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_699,c_0_804]),c_0_628]),c_0_250]),
[final] ).
cnf(c_0_3427,negated_conjecture,
( ~ product(e_4,e_1,X1)
| product(X1,e_2,e_1)
| product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_144,c_0_2282]),
[final] ).
cnf(c_0_3428,negated_conjecture,
( ~ product(e_2,e_5,X1)
| product(X1,e_1,e_5)
| product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_144,c_0_935]),
[final] ).
cnf(c_0_3429,negated_conjecture,
( ~ product(e_4,e_1,X1)
| product(X1,e_2,e_1)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_144,c_0_2283]),
[final] ).
cnf(c_0_3430,negated_conjecture,
( ~ product(e_2,e_4,e_5)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_699,c_0_648]),c_0_628]),
[final] ).
cnf(c_0_3431,negated_conjecture,
( ~ product(e_2,e_5,X1)
| product(X1,e_1,e_5)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_144,c_0_1317]),
[final] ).
cnf(c_0_3432,negated_conjecture,
( ~ product(e_3,e_4,X1)
| product(X1,e_2,e_4)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_144,c_0_1816]),
[final] ).
cnf(c_0_3433,negated_conjecture,
( ~ product(e_3,e_4,X1)
| product(X1,e_2,e_4)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_144,c_0_2284]),
[final] ).
cnf(c_0_3434,negated_conjecture,
( ~ product(e_3,e_4,X1)
| product(X1,e_2,e_4)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_144,c_0_2285]),
[final] ).
cnf(c_0_3435,negated_conjecture,
( ~ product(e_2,e_5,X1)
| product(X1,e_1,e_5)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_144,c_0_2286]),
[final] ).
cnf(c_0_3436,negated_conjecture,
( ~ product(e_5,e_4,X1)
| product(X1,e_2,e_4)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_144,c_0_2287]),
[final] ).
cnf(c_0_3437,negated_conjecture,
( ~ product(e_4,e_1,X1)
| product(X1,e_2,e_1)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_144,c_0_2288]),
[final] ).
cnf(c_0_3438,negated_conjecture,
( ~ product(e_1,e_5,X1)
| product(X1,e_4,e_5)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_144,c_0_2289]),
[final] ).
cnf(c_0_3439,negated_conjecture,
( ~ product(e_3,e_5,e_4)
| product(e_2,e_3,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1048,c_0_1012]),c_0_320]),
[final] ).
cnf(c_0_3440,negated_conjecture,
( ~ product(e_3,e_5,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_211,c_0_1012]),
[final] ).
cnf(c_0_3441,negated_conjecture,
( ~ product(e_3,e_5,e_4)
| product(e_3,e_4,e_5)
| product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_810,c_0_1012]),
[final] ).
cnf(c_0_3442,negated_conjecture,
( ~ product(e_3,e_4,X1)
| ~ product(e_3,e_5,e_2)
| product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_144,c_0_997]),
[final] ).
cnf(c_0_3443,negated_conjecture,
( ~ product(e_3,e_2,e_4)
| ~ product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_378,c_0_1137]),
[final] ).
cnf(c_0_3444,negated_conjecture,
( ~ product(e_3,e_1,X1)
| ~ product(e_2,e_4,e_1)
| product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_2224,c_0_912]),
[final] ).
cnf(c_0_3445,negated_conjecture,
( ~ product(e_3,e_2,e_4)
| ~ product(e_5,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_127,c_0_851]),
[final] ).
cnf(c_0_3446,negated_conjecture,
( ~ product(e_5,e_1,X1)
| product(X1,e_3,e_1)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_144,c_0_2290]),
[final] ).
cnf(c_0_3447,negated_conjecture,
( ~ product(e_3,e_4,X1)
| product(X1,e_1,e_4)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_144,c_0_2291]),
[final] ).
cnf(c_0_3448,negated_conjecture,
( ~ product(e_5,e_3,X1)
| product(X1,e_1,e_3)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_144,c_0_681]),
[final] ).
cnf(c_0_3449,negated_conjecture,
( ~ product(e_4,e_3,X1)
| product(X1,e_5,e_3)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_144,c_0_640]),
[final] ).
cnf(c_0_3450,negated_conjecture,
( ~ product(e_2,e_3,X1)
| product(X1,e_5,e_3)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_144,c_0_895]),
[final] ).
cnf(c_0_3451,negated_conjecture,
( ~ product(e_5,e_2,X1)
| ~ product(e_2,e_3,e_4)
| product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_144,c_0_966]),
[final] ).
cnf(c_0_3452,negated_conjecture,
( ~ product(e_1,e_3,X1)
| product(X1,e_2,e_3)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_144,c_0_654]),
[final] ).
cnf(c_0_3453,negated_conjecture,
( ~ product(e_3,e_4,X1)
| product(X1,e_2,e_4)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_144,c_0_2292]),
[final] ).
cnf(c_0_3454,negated_conjecture,
( ~ product(e_3,e_5,X1)
| product(X1,e_2,e_5)
| product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_144,c_0_2293]),
[final] ).
cnf(c_0_3455,negated_conjecture,
( ~ product(e_3,e_2,e_4)
| ~ product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_228,c_0_1782]),
[final] ).
cnf(c_0_3456,negated_conjecture,
( ~ product(e_4,e_5,e_2)
| product(e_2,e_3,e_5) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1794,c_0_800]),c_0_628]),c_0_181]),
[final] ).
cnf(c_0_3457,negated_conjecture,
( ~ product(e_1,e_4,e_3)
| product(e_3,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2294,c_0_253]),c_0_391]),
[final] ).
cnf(c_0_3458,negated_conjecture,
( ~ product(e_4,e_3,X1)
| product(X1,e_1,e_3)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_144,c_0_847]),
[final] ).
cnf(c_0_3459,negated_conjecture,
( ~ product(e_4,e_1,X1)
| product(X1,e_2,e_1)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_144,c_0_1276]),
[final] ).
cnf(c_0_3460,negated_conjecture,
( ~ product(e_4,e_1,X1)
| product(X1,e_3,e_1)
| product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_144,c_0_629]),
[final] ).
cnf(c_0_3461,negated_conjecture,
( ~ product(e_5,e_2,e_3)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_762,c_0_968]),
[final] ).
cnf(c_0_3462,negated_conjecture,
( ~ product(e_3,e_4,X1)
| ~ product(e_2,e_3,e_4)
| product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_144,c_0_729]),
[final] ).
cnf(c_0_3463,negated_conjecture,
( ~ product(e_3,e_4,X1)
| ~ product(e_2,e_5,e_1)
| product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_144,c_0_1087]),
[final] ).
cnf(c_0_3464,negated_conjecture,
( ~ product(e_2,e_1,X1)
| ~ product(e_2,e_3,e_4)
| product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_144,c_0_716]),
[final] ).
cnf(c_0_3465,negated_conjecture,
( ~ product(e_3,e_4,X1)
| ~ product(e_2,e_4,e_5)
| product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_144,c_0_664]),
[final] ).
cnf(c_0_3466,negated_conjecture,
( ~ product(e_2,e_1,X1)
| ~ product(e_2,e_5,e_1)
| product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_144,c_0_1056]),
[final] ).
cnf(c_0_3467,negated_conjecture,
( ~ product(e_2,e_3,X1)
| ~ product(e_2,e_3,e_4)
| product(X1,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_144,c_0_704]),
[final] ).
cnf(c_0_3468,negated_conjecture,
( ~ product(e_2,e_1,X1)
| ~ product(e_2,e_4,e_5)
| product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_144,c_0_658]),
[final] ).
cnf(c_0_3469,negated_conjecture,
( ~ product(e_1,e_3,X1)
| ~ product(e_2,e_4,e_1)
| product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_2295,c_0_912]),
[final] ).
cnf(c_0_3470,negated_conjecture,
( ~ product(e_2,e_4,e_1)
| ~ product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_378,c_0_930]),
[final] ).
cnf(c_0_3471,negated_conjecture,
( ~ product(e_5,e_2,e_3)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_762,c_0_841]),
[final] ).
cnf(c_0_3472,negated_conjecture,
( ~ product(e_1,e_2,e_4)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_148,c_0_636]),
[final] ).
cnf(c_0_3473,negated_conjecture,
( ~ product(e_3,e_4,e_5)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_424,c_0_2281]),
[final] ).
cnf(c_0_3474,negated_conjecture,
( ~ product(e_2,e_3,X1)
| ~ product(e_2,e_5,e_1)
| product(X1,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_144,c_0_804]),
[final] ).
cnf(c_0_3475,negated_conjecture,
( ~ product(e_4,e_5,e_3)
| product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_361,c_0_2282]),
[final] ).
cnf(c_0_3476,negated_conjecture,
( ~ product(e_5,e_4,e_2)
| product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_127,c_0_2282]),
[final] ).
cnf(c_0_3477,negated_conjecture,
( ~ product(e_5,e_2,e_3)
| product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_762,c_0_935]),
[final] ).
cnf(c_0_3478,negated_conjecture,
( ~ product(e_4,e_5,e_3)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_361,c_0_2283]),
[final] ).
cnf(c_0_3479,negated_conjecture,
( ~ product(e_2,e_3,X1)
| ~ product(e_2,e_4,e_5)
| product(X1,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_144,c_0_648]),
[final] ).
cnf(c_0_3480,negated_conjecture,
( ~ product(e_5,e_2,e_3)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_762,c_0_1317]),
[final] ).
cnf(c_0_3481,negated_conjecture,
( ~ product(e_3,e_4,X1)
| ~ product(e_2,e_3,e_1)
| product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_144,c_0_964]),
[final] ).
cnf(c_0_3482,negated_conjecture,
( ~ product(e_5,e_2,e_3)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_762,c_0_2286]),
[final] ).
cnf(c_0_3483,negated_conjecture,
( ~ product(e_1,e_3,X1)
| ~ product(e_3,e_5,e_4)
| product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_144,c_0_1012]),
[final] ).
cnf(c_0_3484,negated_conjecture,
( ~ product(e_4,e_5,e_3)
| product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_361,c_0_1131]),
[final] ).
cnf(c_0_3485,negated_conjecture,
( ~ product(e_5,e_4,e_2)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_127,c_0_2288]),
[final] ).
cnf(c_0_3486,negated_conjecture,
( ~ product(e_3,e_1,e_4)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_159,c_0_2289]),
[final] ).
cnf(c_0_3487,negated_conjecture,
( ~ product(e_5,e_3,e_4)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_208,c_0_2289]),
[final] ).
cnf(c_0_3488,negated_conjecture,
( ~ product(e_5,e_4,e_4)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_135,c_0_2289]),
[final] ).
cnf(c_0_3489,negated_conjecture,
( ~ product(e_5,e_1,e_3)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_296,c_0_2289]),
[final] ).
cnf(c_0_3490,negated_conjecture,
( ~ product(e_1,e_3,X1)
| ~ product(e_2,e_3,e_4)
| product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_144,c_0_944]),
[final] ).
cnf(c_0_3491,negated_conjecture,
( ~ product(e_4,e_5,e_3)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_123,c_0_2290]),
[final] ).
cnf(c_0_3492,negated_conjecture,
( ~ product(e_1,e_4,e_3)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_228,c_0_2290]),
[final] ).
cnf(c_0_3493,negated_conjecture,
( ~ product(e_1,e_5,e_2)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_276,c_0_2290]),
[final] ).
cnf(c_0_3494,negated_conjecture,
( ~ product(e_4,e_2,e_1)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_251,c_0_2291]),
[final] ).
cnf(c_0_3495,negated_conjecture,
( ~ product(e_4,e_3,e_2)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_378,c_0_2291]),
[final] ).
cnf(c_0_3496,negated_conjecture,
( ~ product(e_3,e_4,e_1)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_228,c_0_681]),
[final] ).
cnf(c_0_3497,negated_conjecture,
( ~ product(e_4,e_3,X1)
| ~ product(e_2,e_4,e_1)
| product(X1,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_144,c_0_869]),
[final] ).
cnf(c_0_3498,negated_conjecture,
( ~ product(e_3,e_5,e_2)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_150,c_0_654]),
[final] ).
cnf(c_0_3499,negated_conjecture,
( ~ product(e_3,e_5,e_2)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_150,c_0_1026]),
[final] ).
cnf(c_0_3500,plain,
( ~ product(e_5,e_4,e_2)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_135,c_0_926]),
[final] ).
cnf(c_0_3501,negated_conjecture,
( ~ product(e_2,e_4,e_1)
| product(e_2,e_3,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2296,c_0_1419]),c_0_244]),
[final] ).
cnf(c_0_3502,negated_conjecture,
( ~ product(e_5,e_3,X1)
| product(X1,e_2,e_3)
| product(e_2,e_3,e_4)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_144,c_0_1397]),
[final] ).
cnf(c_0_3503,negated_conjecture,
( ~ product(e_3,e_1,e_2)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_234,c_0_1046]),c_0_173]),
[final] ).
cnf(c_0_3504,negated_conjecture,
( ~ product(e_3,e_5,e_2)
| product(e_5,e_1,e_2)
| product(e_3,e_3,e_1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_2297]),c_0_234]),c_0_614]),
[final] ).
cnf(c_0_3505,negated_conjecture,
( ~ product(e_2,e_1,X1)
| ~ product(e_2,e_3,e_1)
| product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_144,c_0_942]),
[final] ).
cnf(c_0_3506,negated_conjecture,
( ~ product(e_2,e_3,X1)
| ~ product(e_2,e_3,e_1)
| product(X1,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_144,c_0_921]),
[final] ).
cnf(c_0_3507,negated_conjecture,
( ~ product(e_1,e_5,X1)
| ~ product(e_2,e_3,e_1)
| product(X1,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_144,c_0_886]),
[final] ).
cnf(c_0_3508,negated_conjecture,
( ~ product(e_4,e_1,X1)
| ~ product(e_2,e_3,e_1)
| product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_2298,c_0_860]),
[final] ).
cnf(c_0_3509,negated_conjecture,
( ~ product(e_1,e_3,X1)
| ~ product(e_2,e_3,e_1)
| product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_1377,c_0_860]),
[final] ).
cnf(c_0_3510,negated_conjecture,
( ~ product(e_5,e_3,X1)
| ~ product(e_2,e_3,e_1)
| product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_144,c_0_860]),
[final] ).
cnf(c_0_3511,negated_conjecture,
( ~ product(e_2,e_3,e_1)
| ~ product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_614,c_0_860]),
[final] ).
cnf(c_0_3512,negated_conjecture,
( ~ product(e_2,e_1,X1)
| product(X1,e_4,e_1)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_144,c_0_1478]),
[final] ).
cnf(c_0_3513,negated_conjecture,
( ~ product(e_5,e_3,X1)
| product(X1,e_2,e_3)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_144,c_0_2154]),
[final] ).
cnf(c_0_3514,negated_conjecture,
( ~ product(e_5,e_1,X1)
| product(X1,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_144,c_0_2299]),
[final] ).
cnf(c_0_3515,negated_conjecture,
( ~ product(e_1,e_5,X1)
| product(X1,e_2,e_5)
| product(e_2,e_3,e_5)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_144,c_0_592]),
[final] ).
cnf(c_0_3516,negated_conjecture,
( ~ product(e_1,e_4,e_3)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_228,c_0_2299]),
[final] ).
cnf(c_0_3517,negated_conjecture,
( ~ product(e_1,e_5,e_2)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_276,c_0_2299]),
[final] ).
cnf(c_0_3518,plain,
( ~ product(e_3,e_4,e_1)
| product(e_3,e_5,e_4)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_228,c_0_1517]),
[final] ).
cnf(c_0_3519,negated_conjecture,
( ~ product(e_3,e_4,X1)
| product(X1,e_1,e_4)
| product(e_3,e_1,e_4)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_144,c_0_2300]),
[final] ).
cnf(c_0_3520,negated_conjecture,
( ~ greater(e_2,e_3)
| cycle(e_3,e_2)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_2301,c_0_2302]),
[final] ).
cnf(c_0_3521,negated_conjecture,
( ~ greater(e_0,e_0)
| cycle(e_3,e_2)
| product(e_2,e_4,e_5) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_1835]),c_0_103])]),c_0_2302]),
[final] ).
cnf(c_0_3522,negated_conjecture,
( ~ product(e_4,e_3,X1)
| ~ product(e_3,e_2,e_4)
| product(X1,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_144,c_0_578]),
[final] ).
cnf(c_0_3523,negated_conjecture,
( ~ product(e_3,e_2,e_4)
| ~ product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_173,c_0_578]),
[final] ).
cnf(c_0_3524,negated_conjecture,
( ~ product(e_5,e_3,X1)
| ~ product(e_2,e_3,e_4)
| product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_144,c_0_534]),
[final] ).
cnf(c_0_3525,negated_conjecture,
( ~ product(e_2,e_3,e_4)
| ~ product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_218,c_0_534]),
[final] ).
cnf(c_0_3526,negated_conjecture,
( ~ product(e_3,e_2,e_4)
| product(e_2,e_3,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_225,c_0_521]),c_0_218]),
[final] ).
cnf(c_0_3527,negated_conjecture,
( ~ product(e_3,e_1,e_2)
| product(e_2,e_3,e_5)
| product(e_2,e_3,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_2303]),c_0_173]),
[final] ).
cnf(c_0_3528,negated_conjecture,
( ~ product(e_2,e_1,X1)
| product(X1,e_5,e_1)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_144,c_0_2304]),
[final] ).
cnf(c_0_3529,negated_conjecture,
( ~ product(e_4,e_5,X1)
| product(X1,e_3,e_5)
| product(e_2,e_4,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_733]),c_0_2305]),
[final] ).
cnf(c_0_3530,negated_conjecture,
( ~ product(e_2,e_5,X1)
| product(X1,e_1,e_5)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_144,c_0_2306]),
[final] ).
cnf(c_0_3531,plain,
( ~ product(e_5,e_2,e_3)
| product(e_2,e_4,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_262,c_0_733]),c_0_2305]),
[final] ).
cnf(c_0_3532,negated_conjecture,
( ~ product(e_2,e_4,X1)
| product(X1,e_3,e_4)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_144,c_0_2307]),
[final] ).
cnf(c_0_3533,negated_conjecture,
( ~ product(e_3,e_1,X1)
| product(X1,e_4,e_1)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_144,c_0_2308]),
[final] ).
cnf(c_0_3534,negated_conjecture,
( ~ product(e_5,e_4,X1)
| product(X1,e_2,e_4)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_144,c_0_659]),
[final] ).
cnf(c_0_3535,negated_conjecture,
( ~ product(e_5,e_3,X1)
| product(X1,e_1,e_3)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_144,c_0_1837]),
[final] ).
cnf(c_0_3536,negated_conjecture,
( ~ product(e_2,e_3,X1)
| product(X1,e_4,e_3)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_144,c_0_2309]),
[final] ).
cnf(c_0_3537,negated_conjecture,
( ~ product(e_1,e_5,X1)
| product(X1,e_4,e_5)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_144,c_0_814]),
[final] ).
cnf(c_0_3538,negated_conjecture,
( ~ product(e_5,e_1,X1)
| product(X1,e_3,e_1)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_144,c_0_1326]),
[final] ).
cnf(c_0_3539,negated_conjecture,
( ~ product(e_1,e_3,X1)
| product(X1,e_2,e_3)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_144,c_0_2302]),
[final] ).
cnf(c_0_3540,negated_conjecture,
( ~ product(e_4,e_2,X1)
| product(X1,e_1,e_2)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_144,c_0_531]),
[final] ).
cnf(c_0_3541,negated_conjecture,
( ~ product(e_3,e_4,X1)
| product(X1,e_1,e_4)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_144,c_0_494]),
[final] ).
cnf(c_0_3542,negated_conjecture,
( ~ product(e_4,e_3,X1)
| product(X1,e_5,e_3)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_144,c_0_491]),
[final] ).
cnf(c_0_3543,negated_conjecture,
( ~ product(e_1,e_2,e_4)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_251,c_0_2308]),
[final] ).
cnf(c_0_3544,negated_conjecture,
( ~ product(e_2,e_5,e_1)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_173,c_0_1837]),
[final] ).
cnf(c_0_3545,negated_conjecture,
( ~ product(e_3,e_4,e_1)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_228,c_0_1837]),
[final] ).
cnf(c_0_3546,negated_conjecture,
( ~ product(e_3,e_5,e_4)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_320,c_0_1837]),
[final] ).
cnf(c_0_3547,negated_conjecture,
( ~ product(e_3,e_1,e_4)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_159,c_0_814]),
[final] ).
cnf(c_0_3548,negated_conjecture,
( ~ product(e_5,e_4,e_4)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_135,c_0_814]),
[final] ).
cnf(c_0_3549,negated_conjecture,
( ~ product(e_5,e_1,e_2)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_234,c_0_814]),
[final] ).
cnf(c_0_3550,negated_conjecture,
( ~ product(e_5,e_1,e_3)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_296,c_0_814]),
[final] ).
cnf(c_0_3551,negated_conjecture,
( ~ product(e_4,e_2,X1)
| ~ product(e_2,e_3,e_1)
| product(X1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_144,c_0_503]),
[final] ).
cnf(c_0_3552,negated_conjecture,
( ~ product(e_4,e_5,e_3)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_123,c_0_1326]),
[final] ).
cnf(c_0_3553,negated_conjecture,
( ~ product(e_1,e_5,e_2)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_276,c_0_1326]),
[final] ).
cnf(c_0_3554,negated_conjecture,
( ~ product(e_3,e_5,e_2)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_150,c_0_2302]),
[final] ).
cnf(c_0_3555,negated_conjecture,
( ~ product(e_4,e_2,e_1)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_251,c_0_494]),
[final] ).
cnf(c_0_3556,negated_conjecture,
( ~ product(e_4,e_3,e_2)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_378,c_0_494]),
[final] ).
cnf(c_0_3557,negated_conjecture,
( ~ greater(e_2,e_3)
| cycle(e_3,e_2)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_2310,c_0_212]),
[final] ).
cnf(c_0_3558,negated_conjecture,
( ~ greater(e_0,e_0)
| cycle(e_3,e_2)
| product(e_2,e_5,e_4) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_1840]),c_0_103])]),c_0_212]),
[final] ).
cnf(c_0_3559,negated_conjecture,
( ~ product(e_3,e_5,e_2)
| ~ product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_520,c_0_608]),
[final] ).
cnf(c_0_3560,negated_conjecture,
( product(e_1,e_5,e_2)
| product(e_2,e_5,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_198,c_0_380]),c_0_2311]),
[final] ).
cnf(c_0_3561,negated_conjecture,
( ~ product(e_1,e_5,X1)
| product(X1,e_4,e_5)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_144,c_0_380]),
[final] ).
cnf(c_0_3562,negated_conjecture,
( ~ product(e_3,e_1,e_4)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_159,c_0_380]),
[final] ).
cnf(c_0_3563,negated_conjecture,
( ~ product(e_5,e_4,e_4)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_135,c_0_380]),
[final] ).
cnf(c_0_3564,negated_conjecture,
( ~ product(e_5,e_1,e_2)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_234,c_0_380]),
[final] ).
cnf(c_0_3565,negated_conjecture,
( ~ product(e_5,e_1,e_3)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_296,c_0_380]),
[final] ).
cnf(c_0_3566,negated_conjecture,
( ~ product(e_3,e_1,X1)
| product(X1,e_5,e_1)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_144,c_0_367]),
[final] ).
cnf(c_0_3567,negated_conjecture,
( ~ product(e_5,e_2,X1)
| ~ product(e_2,e_3,e_5)
| product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_144,c_0_374]),
[final] ).
cnf(c_0_3568,negated_conjecture,
( ~ product(e_1,e_2,e_5)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_251,c_0_367]),
[final] ).
cnf(c_0_3569,negated_conjecture,
( ~ product(e_5,e_1,X1)
| product(X1,e_2,e_1)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_544,c_0_2312]),
[final] ).
cnf(c_0_3570,negated_conjecture,
( ~ product(e_4,e_1,X1)
| product(X1,e_3,e_1)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_144,c_0_2312]),
[final] ).
cnf(c_0_3571,negated_conjecture,
( ~ product(e_3,e_5,X1)
| product(X1,e_1,e_5)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_144,c_0_1841]),
[final] ).
cnf(c_0_3572,negated_conjecture,
( ~ product(e_4,e_5,e_2)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_443,c_0_2312]),
[final] ).
cnf(c_0_3573,negated_conjecture,
( ~ product(e_5,e_4,e_3)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_127,c_0_2312]),
[final] ).
cnf(c_0_3574,negated_conjecture,
( ~ product(e_5,e_2,e_1)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_251,c_0_1841]),
[final] ).
cnf(c_0_3575,negated_conjecture,
( ~ product(e_5,e_3,e_4)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_320,c_0_1841]),
[final] ).
cnf(c_0_3576,negated_conjecture,
( ~ product(e_4,e_5,X1)
| product(X1,e_2,e_5)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_144,c_0_366]),
[final] ).
cnf(c_0_3577,negated_conjecture,
( ~ product(e_2,e_1,X1)
| product(X1,e_4,e_1)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_144,c_0_341]),
[final] ).
cnf(c_0_3578,negated_conjecture,
( ~ product(e_4,e_3,X1)
| product(X1,e_1,e_3)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_144,c_0_282]),
[final] ).
cnf(c_0_3579,negated_conjecture,
( ~ product(e_3,e_4,e_5)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_424,c_0_282]),
[final] ).
cnf(c_0_3580,negated_conjecture,
( ~ product(e_2,e_3,X1)
| product(X1,e_5,e_3)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_144,c_0_271]),
[final] ).
cnf(c_0_3581,negated_conjecture,
( ~ product(e_5,e_2,X1)
| ~ product(e_2,e_4,e_1)
| product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_144,c_0_1419]),
[final] ).
cnf(c_0_3582,negated_conjecture,
( ~ product(e_5,e_2,X1)
| ~ product(e_2,e_3,e_1)
| product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_144,c_0_418]),
[final] ).
cnf(c_0_3583,plain,
( ~ product(e_2,e_4,e_1)
| ~ product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_250,c_0_1419]),
[final] ).
cnf(c_0_3584,negated_conjecture,
( ~ product(e_2,e_3,e_4)
| ~ product(e_5,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_135,c_0_507]),
[final] ).
cnf(c_0_3585,negated_conjecture,
( ~ product(e_2,e_3,e_4)
| ~ product(e_5,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_296,c_0_507]),
[final] ).
cnf(c_0_3586,negated_conjecture,
( ~ product(e_1,e_5,X1)
| ~ product(e_2,e_3,e_4)
| product(X1,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_144,c_0_507]),
[final] ).
cnf(c_0_3587,negated_conjecture,
( ~ product(e_4,e_2,e_3)
| product(e_2,e_5,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_225,c_0_217]),c_0_762]),
[final] ).
cnf(c_0_3588,negated_conjecture,
( ~ product(e_4,e_2,X1)
| ~ product(e_2,e_3,e_4)
| product(X1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_144,c_0_354]),
[final] ).
cnf(c_0_3589,negated_conjecture,
( ~ product(e_3,e_5,e_2)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_234,c_0_195]),
[final] ).
cnf(c_0_3590,plain,
( ~ next(e_5,e_1)
| cycle(e_2,e_4)
| cycle(e_2,e_3)
| cycle(e_2,e_2)
| cycle(e_2,e_0)
| cycle(e_1,e_2)
| cycle(e_1,e_3)
| cycle(e_1,e_4) ),
inference(spm,[status(thm)],[c_0_1987,c_0_1847]),
[final] ).
cnf(c_0_3591,plain,
( ~ next(e_5,e_1)
| cycle(e_4,e_4)
| cycle(e_4,e_3)
| cycle(e_4,e_2)
| cycle(e_4,e_0)
| cycle(e_1,e_2)
| cycle(e_1,e_3)
| cycle(e_1,e_4) ),
inference(spm,[status(thm)],[c_0_1988,c_0_1847]),
[final] ).
cnf(c_0_3592,plain,
( ~ product(e_5,e_4,e_4)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_135,c_0_160]),
[final] ).
cnf(c_0_3593,plain,
( ~ next(e_2,e_4)
| cycle(e_2,e_2)
| cycle(e_2,e_0)
| cycle(e_4,e_3)
| cycle(e_4,e_2)
| cycle(e_4,e_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2313,c_0_858]),c_0_2314]),
[final] ).
cnf(c_0_3594,plain,
( ~ next(e_4,e_2)
| cycle(e_4,e_2)
| cycle(e_4,e_0)
| cycle(e_2,e_3)
| cycle(e_2,e_2)
| cycle(e_2,e_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2315,c_0_84]),c_0_2316]),
[final] ).
cnf(c_0_3595,plain,
( ~ next(e_5,e_1)
| ~ cycle(e_1,e_5)
| cycle(e_2,e_4)
| cycle(e_2,e_3)
| cycle(e_2,e_2)
| cycle(e_2,e_0) ),
inference(spm,[status(thm)],[c_0_1987,c_0_1897]),
[final] ).
cnf(c_0_3596,plain,
( ~ next(e_5,e_3)
| ~ cycle(e_3,e_5)
| cycle(e_2,e_4)
| cycle(e_2,e_3)
| cycle(e_2,e_2)
| cycle(e_2,e_0) ),
inference(spm,[status(thm)],[c_0_1987,c_0_2030]),
[final] ).
cnf(c_0_3597,plain,
( ~ next(e_5,e_4)
| ~ cycle(e_4,e_5)
| cycle(e_2,e_4)
| cycle(e_2,e_3)
| cycle(e_2,e_2)
| cycle(e_2,e_0) ),
inference(spm,[status(thm)],[c_0_1987,c_0_1789]),
[final] ).
cnf(c_0_3598,plain,
( ~ next(e_5,e_5)
| cycle(e_2,e_4)
| cycle(e_2,e_3)
| cycle(e_2,e_2)
| cycle(e_2,e_0) ),
inference(spm,[status(thm)],[c_0_1987,c_0_984]),
[final] ).
cnf(c_0_3599,plain,
( ~ next(e_5,e_1)
| ~ cycle(e_1,e_5)
| cycle(e_4,e_4)
| cycle(e_4,e_3)
| cycle(e_4,e_2)
| cycle(e_4,e_0) ),
inference(spm,[status(thm)],[c_0_1988,c_0_1897]),
[final] ).
cnf(c_0_3600,plain,
( ~ next(e_5,e_2)
| ~ cycle(e_2,e_5)
| cycle(e_4,e_4)
| cycle(e_4,e_3)
| cycle(e_4,e_2)
| cycle(e_4,e_0) ),
inference(spm,[status(thm)],[c_0_1988,c_0_2029]),
[final] ).
cnf(c_0_3601,plain,
( ~ next(e_5,e_3)
| ~ cycle(e_3,e_5)
| cycle(e_4,e_4)
| cycle(e_4,e_3)
| cycle(e_4,e_2)
| cycle(e_4,e_0) ),
inference(spm,[status(thm)],[c_0_1988,c_0_2030]),
[final] ).
cnf(c_0_3602,plain,
( ~ next(e_5,e_5)
| cycle(e_4,e_4)
| cycle(e_4,e_3)
| cycle(e_4,e_2)
| cycle(e_4,e_0) ),
inference(spm,[status(thm)],[c_0_1988,c_0_984]),
[final] ).
cnf(c_0_3603,plain,
( ~ next(e_2,e_2)
| cycle(e_2,e_2)
| cycle(e_2,e_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2313,c_0_84]),c_0_2317]),c_0_2314]),
[final] ).
cnf(c_0_3604,plain,
( ~ next(e_4,e_4)
| cycle(e_4,e_2)
| cycle(e_4,e_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2315,c_0_858]),c_0_1990]),c_0_2316]),
[final] ).
cnf(c_0_3605,plain,
( ~ next(e_1,X2)
| ~ greater(X1,X3)
| ~ cycle(X2,X3)
| ~ cycle(e_0,X1)
| cycle(e_1,e_4)
| cycle(e_1,e_3)
| cycle(e_1,e_2) ),
inference(spm,[status(thm)],[c_0_2318,c_0_85]),
[final] ).
cnf(c_0_3606,plain,
( ~ next(e_5,X1)
| ~ greater(e_0,X2)
| ~ cycle(X1,X2)
| cycle(e_1,e_2)
| cycle(e_1,e_3)
| cycle(e_1,e_4) ),
inference(spm,[status(thm)],[c_0_2319,c_0_1847]),
[final] ).
cnf(c_0_3607,plain,
( ~ greater(e_1,e_1)
| cycle(e_1,e_4)
| cycle(e_1,e_3)
| cycle(e_1,e_2) ),
inference(spm,[status(thm)],[c_0_2320,c_0_76]),
[final] ).
cnf(c_0_3608,plain,
( ~ next(e_1,X1)
| ~ greater(X4,X2)
| ~ greater(e_1,X3)
| ~ cycle(X3,X4)
| ~ cycle(X1,X2)
| ~ cycle(e_1,e_5) ),
inference(spm,[status(thm)],[c_0_1255,c_0_1897]),
[final] ).
cnf(c_0_3609,plain,
( ~ next(e_2,X1)
| ~ greater(X4,X2)
| ~ greater(e_2,X3)
| ~ cycle(X3,X4)
| ~ cycle(X1,X2)
| ~ cycle(e_2,e_5) ),
inference(spm,[status(thm)],[c_0_1255,c_0_2029]),
[final] ).
cnf(c_0_3610,plain,
( ~ next(e_3,X1)
| ~ greater(X4,X2)
| ~ greater(e_3,X3)
| ~ cycle(X3,X4)
| ~ cycle(X1,X2)
| ~ cycle(e_3,e_5) ),
inference(spm,[status(thm)],[c_0_1255,c_0_2030]),
[final] ).
cnf(c_0_3611,plain,
( ~ next(e_4,X1)
| ~ greater(X4,X2)
| ~ greater(e_4,X3)
| ~ cycle(X3,X4)
| ~ cycle(X1,X2)
| ~ cycle(e_4,e_5) ),
inference(spm,[status(thm)],[c_0_1255,c_0_1789]),
[final] ).
cnf(c_0_3612,plain,
( ~ next(e_5,X1)
| ~ greater(e_0,X2)
| ~ cycle(X1,X2)
| ~ cycle(e_1,e_5) ),
inference(spm,[status(thm)],[c_0_2319,c_0_1897]),
[final] ).
cnf(c_0_3613,plain,
( ~ next(e_5,X1)
| ~ greater(e_0,X2)
| ~ cycle(X1,X2)
| ~ cycle(e_2,e_5) ),
inference(spm,[status(thm)],[c_0_1435,c_0_2029]),
[final] ).
cnf(c_0_3614,plain,
( ~ next(e_5,X1)
| ~ greater(e_0,X2)
| ~ cycle(X1,X2)
| ~ cycle(e_3,e_5) ),
inference(spm,[status(thm)],[c_0_1515,c_0_2030]),
[final] ).
cnf(c_0_3615,plain,
( ~ next(e_5,X1)
| ~ greater(e_0,X2)
| ~ cycle(X1,X2)
| ~ cycle(e_4,e_5) ),
inference(spm,[status(thm)],[c_0_1466,c_0_1789]),
[final] ).
cnf(c_0_3616,plain,
( ~ next(e_5,X2)
| ~ greater(X1,X3)
| ~ cycle(X2,X3)
| ~ cycle(e_0,X1) ),
inference(spm,[status(thm)],[c_0_1329,c_0_2321]),
[final] ).
cnf(c_0_3617,plain,
( ~ greater(e_0,e_0)
| cycle(e_1,e_2)
| cycle(e_1,e_3)
| cycle(e_1,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1580,c_0_1847]),c_0_76]),c_0_835])]),
[final] ).
cnf(c_0_3618,plain,
( ~ greater(e_0,e_0)
| ~ cycle(e_1,e_5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1580,c_0_1897]),c_0_76]),c_0_835])]),
[final] ).
cnf(c_0_3619,plain,
( ~ next(X1,e_3)
| ~ greater(X2,e_0)
| ~ cycle(X1,X2)
| ~ product(X1,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_959,c_0_70]),
[final] ).
cnf(c_0_3620,plain,
( ~ next(X1,e_4)
| ~ greater(X2,e_0)
| ~ cycle(X1,X2)
| ~ product(X1,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_1025,c_0_70]),
[final] ).
cnf(c_0_3621,plain,
( ~ next(X1,e_5)
| ~ greater(X2,e_0)
| ~ cycle(X1,X2)
| ~ product(X1,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_119,c_0_70]),
[final] ).
cnf(c_0_3622,plain,
( ~ next(e_5,e_1)
| ~ greater(e_0,e_0)
| ~ product(e_5,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_2322,c_0_984]),
[final] ).
cnf(c_0_3623,plain,
( ~ next(e_5,e_3)
| ~ greater(e_0,e_0)
| ~ product(e_5,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_90,c_0_984]),
[final] ).
cnf(c_0_3624,plain,
( ~ next(e_5,e_4)
| ~ greater(e_0,e_0)
| ~ product(e_5,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_106,c_0_984]),
[final] ).
cnf(c_0_3625,plain,
( ~ next(e_5,e_5)
| ~ greater(e_0,e_0)
| ~ product(e_5,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_2323,c_0_984]),
[final] ).
cnf(c_0_3626,plain,
( ~ next(e_5,e_1)
| ~ greater(e_0,e_0)
| ~ product(e_5,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_1741,c_0_984]),
[final] ).
cnf(c_0_3627,plain,
( ~ next(e_5,e_2)
| ~ greater(e_0,e_0)
| ~ product(e_5,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_1743,c_0_984]),
[final] ).
cnf(c_0_3628,plain,
( ~ next(e_5,e_4)
| ~ greater(e_0,e_0)
| ~ product(e_5,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_105,c_0_984]),
[final] ).
cnf(c_0_3629,plain,
( ~ next(e_5,e_5)
| ~ greater(e_0,e_0)
| ~ product(e_5,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_1744,c_0_984]),
[final] ).
cnf(c_0_3630,plain,
( ~ next(e_5,e_1)
| ~ greater(e_0,e_0)
| ~ product(e_5,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_1747,c_0_984]),
[final] ).
cnf(c_0_3631,plain,
( ~ next(e_5,e_2)
| ~ greater(e_0,e_0)
| ~ product(e_5,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_1746,c_0_984]),
[final] ).
cnf(c_0_3632,plain,
( ~ next(e_5,e_3)
| ~ greater(e_0,e_0)
| ~ product(e_5,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_89,c_0_984]),
[final] ).
cnf(c_0_3633,plain,
( ~ next(e_5,e_5)
| ~ greater(e_0,e_0)
| ~ product(e_5,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_1748,c_0_984]),
[final] ).
cnf(c_0_3634,plain,
( ~ next(e_5,e_1)
| ~ greater(e_0,e_0)
| ~ product(e_5,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_1784,c_0_984]),
[final] ).
cnf(c_0_3635,plain,
( ~ next(e_5,e_2)
| ~ greater(e_0,e_0)
| ~ product(e_5,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_1783,c_0_984]),
[final] ).
cnf(c_0_3636,plain,
( ~ next(e_5,e_3)
| ~ greater(e_0,e_0)
| ~ product(e_5,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_83,c_0_984]),
[final] ).
cnf(c_0_3637,plain,
( ~ next(X1,X2)
| ~ next(X3,e_1)
| ~ cycle(X2,X3)
| ~ cycle(X1,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_791]),c_0_122])]),
[final] ).
cnf(c_0_3638,plain,
( ~ next(X1,X2)
| ~ next(X3,e_1)
| ~ cycle(X2,X3)
| ~ cycle(X1,e_5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1539,c_0_791]),c_0_2321])]),
[final] ).
cnf(c_0_3639,plain,
( ~ next(X1,X2)
| ~ next(X3,e_2)
| ~ cycle(X2,X3)
| ~ cycle(X1,e_5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1538,c_0_791]),c_0_2321])]),
[final] ).
cnf(c_0_3640,plain,
( ~ next(X1,X2)
| ~ next(X3,e_3)
| ~ cycle(X2,X3)
| ~ cycle(X1,e_5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_791]),c_0_2321])]),
[final] ).
cnf(c_0_3641,plain,
( ~ next(X1,X2)
| ~ next(X3,e_4)
| ~ cycle(X2,X3)
| ~ cycle(X1,e_5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_791]),c_0_2321])]),
[final] ).
cnf(c_0_3642,plain,
( ~ next(e_5,e_4)
| ~ greater(e_0,e_0)
| ~ product(e_5,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_101,c_0_984]),
[final] ).
cnf(c_0_3643,plain,
( ~ greater(X1,e_1)
| ~ cycle(e_1,e_5)
| ~ product(e_1,e_1,X1) ),
inference(spm,[status(thm)],[c_0_107,c_0_1897]),
[final] ).
cnf(c_0_3644,plain,
( ~ greater(X1,e_2)
| ~ cycle(e_2,e_5)
| ~ product(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_107,c_0_2029]),
[final] ).
cnf(c_0_3645,plain,
( ~ greater(X1,e_3)
| ~ cycle(e_3,e_5)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_107,c_0_2030]),
[final] ).
cnf(c_0_3646,plain,
( ~ greater(X1,e_4)
| ~ cycle(e_4,e_5)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_107,c_0_1789]),
[final] ).
cnf(c_0_3647,plain,
( ~ greater(X1,e_5)
| ~ product(e_5,e_1,X1) ),
inference(spm,[status(thm)],[c_0_107,c_0_984]),
[final] ).
cnf(c_0_3648,negated_conjecture,
( ~ product(X2,X2,X1)
| product(X1,X2,X2) ),
inference(spm,[status(thm)],[c_0_144,c_0_76]),
[final] ).
cnf(c_0_3649,plain,
( ~ cycle(X1,e_2)
| ~ cycle(X1,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_1414]),
[final] ).
cnf(c_0_3650,plain,
( ~ cycle(X1,e_2)
| ~ cycle(X1,e_4) ),
inference(spm,[status(thm)],[c_0_95,c_0_1414]),
[final] ).
cnf(c_0_3651,plain,
( ~ cycle(X1,e_3)
| ~ cycle(X1,e_1) ),
inference(spm,[status(thm)],[c_0_80,c_0_1414]),
[final] ).
cnf(c_0_3652,plain,
( ~ cycle(X1,e_3)
| ~ cycle(X1,e_4) ),
inference(spm,[status(thm)],[c_0_94,c_0_1414]),
[final] ).
cnf(c_0_3653,plain,
( ~ cycle(X1,e_4)
| ~ cycle(X1,e_1) ),
inference(spm,[status(thm)],[c_0_117,c_0_1414]),
[final] ).
cnf(c_0_3654,negated_conjecture,
~ product(e_4,e_4,e_1),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2324,c_0_2325]),c_0_2326]),
[final] ).
cnf(c_0_3655,negated_conjecture,
~ product(e_3,e_1,e_5),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_663]),c_0_225]),
[final] ).
cnf(c_0_3656,plain,
~ product(e_3,e_2,e_1),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_2327]),c_0_2328]),
[final] ).
cnf(c_0_3657,plain,
~ product(e_3,e_3,e_1),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_2329]),c_0_2330]),
[final] ).
cnf(c_0_3658,plain,
~ product(e_3,e_1,e_3),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_296,c_0_803]),c_0_276]),
[final] ).
cnf(c_0_3659,negated_conjecture,
~ product(e_3,e_2,e_2),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_225,c_0_615]),c_0_218]),
[final] ).
cnf(c_0_3660,negated_conjecture,
~ product(e_4,e_4,e_5),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_393]),c_0_244]),c_0_182]),
[final] ).
cnf(c_0_3661,plain,
~ product(e_2,e_2,e_3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_225,c_0_2331]),c_0_76])]),
[final] ).
cnf(c_0_3662,plain,
~ product(e_5,e_5,e_2),
inference(spm,[status(thm)],[c_0_457,c_0_76]),
[final] ).
cnf(c_0_3663,plain,
~ product(e_1,e_1,e_3),
inference(spm,[status(thm)],[c_0_762,c_0_76]),
[final] ).
cnf(c_0_3664,plain,
~ product(e_5,e_5,e_3),
inference(spm,[status(thm)],[c_0_580,c_0_76]),
[final] ).
cnf(c_0_3665,axiom,
greater(e_4,e_1),
e_4_greater_e_1,
[final] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP126-3.005 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n026.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 20 20:03:07 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 59.72/10.15 % Version: 3.5.1
% 59.72/10.15 % Preprocessing class: FSMSSMSSSSSNFFN.
% 59.72/10.15 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 59.72/10.15 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 59.72/10.15 % Starting new_bool_3 with 300s (1) cores
% 59.72/10.15 % Starting new_bool_1 with 300s (1) cores
% 59.72/10.15 % Starting sh5l with 300s (1) cores
% 59.72/10.15 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 474936 completed with status 1
% 59.72/10.15 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 59.72/10.15 % Preprocessing class: FSMSSMSSSSSNFFN.
% 59.72/10.15 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 59.72/10.15 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 59.72/10.15 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 59.72/10.15 % No SInE strategy applied
% 59.72/10.15 % Search class: FGHNF-FFMM00-SFFFFFNN
% 59.72/10.15 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 59.72/10.15 % Starting SubtermCWHack with 136s (1) cores
% 59.72/10.15 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 59.72/10.15 % Starting H----_011_C07_F1_PI_AE_OS_R8_SP_S1U with 136s (1) cores
% 59.72/10.15 % Starting G----_425_C05_02_F1_SE_CS_SP_PS_RG_S04AI with 136s (1) cores
% 59.72/10.15 % Starting G-E--_208_B07--C_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 59.72/10.15 % G----_425_C05_02_F1_SE_CS_SP_PS_RG_S04AI with pid 474946 completed with status 1
% 59.72/10.15 % Result found by G----_425_C05_02_F1_SE_CS_SP_PS_RG_S04AI
% 59.72/10.15 % Preprocessing class: FSMSSMSSSSSNFFN.
% 59.72/10.15 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 59.72/10.15 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 59.72/10.15 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 59.72/10.15 % No SInE strategy applied
% 59.72/10.15 % Search class: FGHNF-FFMM00-SFFFFFNN
% 59.72/10.15 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 59.72/10.15 % Starting SubtermCWHack with 136s (1) cores
% 59.72/10.15 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 59.72/10.15 % Starting H----_011_C07_F1_PI_AE_OS_R8_SP_S1U with 136s (1) cores
% 59.72/10.15 % Starting G----_425_C05_02_F1_SE_CS_SP_PS_RG_S04AI with 136s (1) cores
% 59.72/10.15 % Preprocessing time : 0.001 s
% 59.72/10.15 % Presaturation interreduction done
% 59.72/10.15
% 59.72/10.15 % No proof found!
% 59.72/10.15 % SZS status Satisfiable
% 59.72/10.15 % SZS output start Saturation
% See solution above
% 67.78/10.17 % Parsed axioms : 58
% 67.78/10.17 % Removed by relevancy pruning/SinE : 0
% 67.78/10.17 % Initial clauses : 58
% 67.78/10.17 % Removed in clause preprocessing : 0
% 67.78/10.17 % Initial clauses in saturation : 58
% 67.78/10.17 % Processed clauses : 42060
% 67.78/10.17 % ...of these trivial : 26
% 67.78/10.17 % ...subsumed : 35639
% 67.78/10.17 % ...remaining for further processing : 6395
% 67.78/10.17 % Other redundant clauses eliminated : 0
% 67.78/10.17 % Clauses deleted for lack of memory : 0
% 67.78/10.17 % Backward-subsumed : 3246
% 67.78/10.17 % Backward-rewritten : 37
% 67.78/10.17 % Generated clauses : 63029
% 67.78/10.17 % ...of the previous two non-redundant : 60371
% 67.78/10.17 % ...aggressively subsumed : 0
% 67.78/10.17 % Contextual simplify-reflections : 969
% 67.78/10.17 % Paramodulations : 62768
% 67.78/10.17 % Factorizations : 0
% 67.78/10.17 % NegExts : 0
% 67.78/10.17 % Equation resolutions : 0
% 67.78/10.17 % Disequality decompositions : 0
% 67.78/10.17 % Total rewrite steps : 3673
% 67.78/10.17 % ...of those cached : 3646
% 67.78/10.17 % Propositional unsat checks : 0
% 67.78/10.17 % Propositional check models : 0
% 67.78/10.17 % Propositional check unsatisfiable : 0
% 67.78/10.17 % Propositional clauses : 0
% 67.78/10.17 % Propositional clauses after purity: 0
% 67.78/10.17 % Propositional unsat core size : 0
% 67.78/10.17 % Propositional preprocessing time : 0.000
% 67.78/10.17 % Propositional encoding time : 0.000
% 67.78/10.17 % Propositional solver time : 0.000
% 67.78/10.17 % Success case prop preproc time : 0.000
% 67.78/10.17 % Success case prop encoding time : 0.000
% 67.78/10.17 % Success case prop solver time : 0.000
% 67.78/10.17 % Current number of processed clauses : 2793
% 67.78/10.17 % Positive orientable unit clauses : 29
% 67.78/10.17 % Positive unorientable unit clauses: 0
% 67.78/10.17 % Negative unit clauses : 89
% 67.78/10.17 % Non-unit-clauses : 2675
% 67.78/10.17 % Current number of unprocessed clauses: 0
% 67.78/10.17 % ...number of literals in the above : 0
% 67.78/10.17 % Current number of archived formulas : 0
% 67.78/10.17 % Current number of archived clauses : 3602
% 67.78/10.17 % Clause-clause subsumption calls (NU) : 7091383
% 67.78/10.17 % Rec. Clause-clause subsumption calls : 2576164
% 67.78/10.17 % Non-unit clause-clause subsumptions : 35285
% 67.78/10.17 % Unit Clause-clause subsumption calls : 40894
% 67.78/10.17 % Rewrite failures with RHS unbound : 0
% 67.78/10.17 % BW rewrite match attempts : 12
% 67.78/10.17 % BW rewrite match successes : 2
% 67.78/10.17 % Condensation attempts : 0
% 67.78/10.17 % Condensation successes : 0
% 67.78/10.17 % Termbank termtop insertions : 910179
% 67.78/10.17 % Search garbage collected termcells : 114
% 67.78/10.17
% 67.78/10.17 % -------------------------------------------------
% 67.78/10.17 % User time : 8.488 s
% 67.78/10.17 % System time : 0.054 s
% 67.78/10.17 % Total time : 8.543 s
% 67.78/10.17 % Maximum resident set size: 3920 pages
% 67.78/10.17
% 67.78/10.17 % -------------------------------------------------
% 67.78/10.17 % User time : 40.368 s
% 67.78/10.17 % System time : 0.608 s
% 67.78/10.17 % Total time : 40.976 s
% 67.78/10.17 % Maximum resident set size: 5120 pages
% 67.78/10.17 % E exiting
%------------------------------------------------------------------------------