%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : GRP129-3.005 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n003.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 12:38:39 PM UTC 2026
% Result : Satisfiable 147.42s 22.02s
% Output : Saturation 147.42s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named c_0_99ERROR: Could not build tree for root c_0_147ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(c_0_62,plain,
~ equalish(e_1,e_2),
c_0_57,
[final] ).
cnf(c_0_63,plain,
( ~ next(X4,X5)
| ~ greater(X2,e_0)
| ~ next(X1,X3)
| ~ cycle(X3,X4)
| ~ cycle(X1,X2)
| equalish(X2,X5) ),
c_0_58,
[final] ).
cnf(c_0_64,axiom,
greater(e_1,e_0),
e_1_greater_e_0,
[final] ).
cnf(c_0_65,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_59,
[final] ).
cnf(c_0_66,axiom,
group_element(e_3),
element_3,
[final] ).
cnf(c_0_67,plain,
~ equalish(e_3,e_2),
c_0_60,
[final] ).
cnf(c_0_68,axiom,
greater(e_3,e_0),
e_3_greater_e_0,
[final] ).
cnf(c_0_69,plain,
~ equalish(e_4,e_2),
c_0_61,
[final] ).
cnf(c_0_70,axiom,
greater(e_4,e_0),
e_4_greater_e_0,
[final] ).
cnf(c_0_72,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_62,c_0_63]),c_0_64])]),
[final] ).
cnf(c_0_74,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_67,c_0_63]),c_0_68])]),
[final] ).
cnf(c_0_75,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_69,c_0_63]),c_0_70])]),
[final] ).
cnf(c_0_78,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_71,
[final] ).
cnf(c_0_79,axiom,
group_element(e_1),
element_1,
[final] ).
cnf(c_0_81,axiom,
next(e_1,e_2),
e_1_then_e_2,
[final] ).
cnf(c_0_82,axiom,
group_element(e_4),
element_4,
[final] ).
cnf(c_0_83,plain,
~ equalish(e_3,e_1),
c_0_76,
[final] ).
cnf(c_0_84,plain,
( ~ product(X4,X2,X3)
| ~ product(X1,X2,X3)
| equalish(X1,X4) ),
c_0_77,
[final] ).
cnf(c_0_85,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_78,c_0_79]),
[final] ).
cnf(c_0_88,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_65,c_0_82]),
[final] ).
cnf(c_0_89,axiom,
next(e_3,e_4),
e_3_then_e_4,
[final] ).
cnf(c_0_90,plain,
( ~ product(e_3,X1,X2)
| ~ product(e_1,X1,X2) ),
inference(spm,[status(thm)],[c_0_83,c_0_84]),
[final] ).
cnf(c_0_91,plain,
( product(e_1,e_1,e_5)
| product(e_1,e_1,e_4)
| product(e_1,e_1,e_3)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_85,c_0_79]),
[final] ).
cnf(c_0_93,plain,
( ~ greater(X2,X5)
| ~ greater(X3,X1)
| ~ next(X3,X4)
| ~ cycle(X4,X5)
| ~ cycle(X3,e_0)
| ~ cycle(X1,X2) ),
c_0_86,
[final] ).
cnf(c_0_98,plain,
( ~ product(X1,X4,X3)
| ~ product(X1,X2,X3)
| equalish(X2,X4) ),
c_0_92,
[final] ).
cnf(c_0_104,axiom,
greater(e_4,e_3),
e_4_greater_e_3,
[final] ).
cnf(c_0_105,negated_conjecture,
( ~ product(X2,X3,X4)
| ~ product(X1,X2,X3)
| product(X3,X1,X4) ),
c_0_95,
[final] ).
cnf(c_0_107,plain,
( ~ product(X1,e_3,X2)
| ~ product(X1,e_1,X2) ),
inference(spm,[status(thm)],[c_0_83,c_0_98]),
[final] ).
cnf(c_0_111,plain,
~ equalish(e_1,e_5),
c_0_99,
[final] ).
cnf(c_0_112,plain,
~ equalish(e_2,e_5),
c_0_100,
[final] ).
cnf(c_0_113,axiom,
greater(e_2,e_0),
e_2_greater_e_0,
[final] ).
cnf(c_0_114,plain,
~ equalish(e_3,e_5),
c_0_101,
[final] ).
cnf(c_0_115,plain,
~ equalish(e_4,e_5),
c_0_102,
[final] ).
cnf(c_0_122,plain,
~ equalish(e_1,e_4),
c_0_108,
[final] ).
cnf(c_0_123,plain,
~ equalish(e_2,e_4),
c_0_109,
[final] ).
cnf(c_0_124,plain,
~ equalish(e_3,e_4),
c_0_110,
[final] ).
cnf(c_0_125,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_111,c_0_63]),c_0_64])]),
[final] ).
cnf(c_0_126,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_112,c_0_63]),c_0_113])]),
[final] ).
cnf(c_0_127,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_114,c_0_63]),c_0_68])]),
[final] ).
cnf(c_0_128,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_115,c_0_63]),c_0_70])]),
[final] ).
cnf(c_0_131,plain,
~ equalish(e_1,e_3),
c_0_119,
[final] ).
cnf(c_0_132,plain,
~ equalish(e_2,e_3),
c_0_120,
[final] ).
cnf(c_0_133,plain,
~ equalish(e_4,e_3),
c_0_121,
[final] ).
cnf(c_0_134,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_122,c_0_63]),c_0_64])]),
[final] ).
cnf(c_0_135,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_123,c_0_63]),c_0_113])]),
[final] ).
cnf(c_0_136,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_124,c_0_63]),c_0_68])]),
[final] ).
cnf(c_0_137,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_125,c_0_73]),c_0_126]),c_0_127]),c_0_128]),
[final] ).
cnf(c_0_138,axiom,
next(e_4,e_5),
e_4_then_e_5,
[final] ).
cnf(c_0_140,axiom,
cycle(e_5,e_0),
cycle3,
[final] ).
cnf(c_0_143,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_131,c_0_63]),c_0_64])]),
[final] ).
cnf(c_0_144,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_132,c_0_63]),c_0_113])]),
[final] ).
cnf(c_0_145,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_133,c_0_63]),c_0_70])]),
[final] ).
cnf(c_0_146,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_134,c_0_73]),c_0_135]),c_0_136]),
[final] ).
cnf(c_0_147,plain,
( ~ next(e_3,X1)
| ~ cycle(X1,e_4)
| cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_137,c_0_138]),
[final] ).
cnf(c_0_152,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_143,c_0_73]),c_0_144]),c_0_145]),
[final] ).
cnf(c_0_153,axiom,
next(e_2,e_3),
e_2_then_e_3,
[final] ).
cnf(c_0_154,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_146,c_0_89]),
[final] ).
cnf(c_0_158,plain,
( ~ next(X1,X4)
| ~ greater(X2,e_0)
| ~ product(X1,e_1,X3)
| ~ cycle(X1,X2)
| equalish(X3,X4) ),
c_0_150,
[final] ).
cnf(c_0_159,plain,
~ equalish(e_5,e_2),
c_0_151,
[final] ).
cnf(c_0_162,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_152,c_0_153]),
[final] ).
cnf(c_0_165,plain,
( ~ next(X1,e_2)
| ~ greater(X2,e_0)
| ~ cycle(X1,X2)
| ~ product(X1,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_62,c_0_158]),
[final] ).
cnf(c_0_166,plain,
( cycle(e_1,e_0)
| cycle(e_1,e_1)
| cycle(e_1,e_2)
| cycle(e_1,e_3)
| cycle(e_1,e_4) ),
inference(spm,[status(thm)],[c_0_65,c_0_79]),
[final] ).
cnf(c_0_167,plain,
( ~ next(X1,e_2)
| ~ greater(X2,e_0)
| ~ cycle(X1,X2)
| ~ product(X1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_159,c_0_158]),
[final] ).
cnf(c_0_168,plain,
( ~ next(X1,e_2)
| ~ greater(X2,e_0)
| ~ cycle(X1,X2)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_69,c_0_158]),
[final] ).
cnf(c_0_169,plain,
( ~ next(X1,e_2)
| ~ greater(X2,e_0)
| ~ cycle(X1,X2)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_67,c_0_158]),
[final] ).
cnf(c_0_170,plain,
~ equalish(e_4,e_1),
c_0_160,
[final] ).
cnf(c_0_171,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_78,c_0_82]),
[final] ).
cnf(c_0_173,plain,
( ~ greater(X2,X1)
| ~ product(X1,e_1,X2)
| ~ cycle(X1,e_0) ),
c_0_161,
[final] ).
cnf(c_0_177,plain,
( ~ product(e_1,e_1,e_1)
| 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(spm,[status(thm)],[c_0_165,c_0_166]),c_0_64]),c_0_81])]),
[final] ).
cnf(c_0_178,plain,
( ~ product(e_1,e_1,e_5)
| 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(spm,[status(thm)],[c_0_167,c_0_166]),c_0_64]),c_0_81])]),
[final] ).
cnf(c_0_179,plain,
( ~ product(e_1,e_1,e_4)
| 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(spm,[status(thm)],[c_0_168,c_0_166]),c_0_64]),c_0_81])]),
[final] ).
cnf(c_0_180,plain,
( ~ product(e_1,e_1,e_3)
| 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(spm,[status(thm)],[c_0_169,c_0_166]),c_0_64]),c_0_81])]),
[final] ).
cnf(c_0_181,plain,
( ~ product(X1,e_4,X2)
| ~ product(X1,e_1,X2) ),
inference(spm,[status(thm)],[c_0_170,c_0_98]),
[final] ).
cnf(c_0_183,plain,
~ equalish(e_5,e_4),
c_0_172,
[final] ).
cnf(c_0_186,axiom,
greater(e_5,e_3),
e_5_greater_e_3,
[final] ).
cnf(c_0_187,plain,
( cycle(e_1,e_0)
| cycle(e_1,e_2)
| cycle(e_1,e_3)
| cycle(e_1,e_4)
| product(e_1,e_1,e_2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_91]),c_0_178]),c_0_179]),c_0_180]),
[final] ).
cnf(c_0_190,plain,
( ~ next(X1,e_4)
| ~ greater(X2,e_0)
| ~ cycle(X1,X2)
| ~ product(X1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_183,c_0_158]),
[final] ).
cnf(c_0_192,plain,
( ~ greater(X1,e_1)
| ~ product(e_1,e_1,X1)
| cycle(e_1,e_4)
| cycle(e_1,e_3)
| cycle(e_1,e_2)
| product(e_1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_173,c_0_187]),
[final] ).
cnf(c_0_194,axiom,
greater(e_5,e_1),
e_5_greater_e_1,
[final] ).
cnf(c_0_201,plain,
~ equalish(e_2,e_1),
c_0_198,
[final] ).
cnf(c_0_203,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_170,c_0_63]),c_0_70])]),
[final] ).
cnf(c_0_205,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_83,c_0_63]),c_0_68])]),
[final] ).
cnf(c_0_206,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_201,c_0_63]),c_0_113])]),
[final] ).
cnf(c_0_207,plain,
( ~ next(X1,e_5)
| ~ greater(X2,e_0)
| ~ cycle(X1,X2)
| ~ product(X1,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_111,c_0_158]),
[final] ).
cnf(c_0_208,plain,
( ~ next(X1,e_5)
| ~ greater(X2,e_0)
| ~ cycle(X1,X2)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_115,c_0_158]),
[final] ).
cnf(c_0_209,plain,
( ~ next(X1,e_5)
| ~ greater(X2,e_0)
| ~ cycle(X1,X2)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_114,c_0_158]),
[final] ).
cnf(c_0_210,plain,
( ~ next(X1,e_5)
| ~ greater(X2,e_0)
| ~ cycle(X1,X2)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_112,c_0_158]),
[final] ).
cnf(c_0_212,axiom,
greater(e_3,e_1),
e_3_greater_e_1,
[final] ).
cnf(c_0_214,axiom,
next(e_0,e_1),
e_0_then_e_1,
[final] ).
cnf(c_0_222,negated_conjecture,
( ~ next(e_3,X1)
| ~ cycle(X1,e_0)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_213,c_0_214]),
[final] ).
cnf(c_0_225,negated_conjecture,
( ~ next(e_3,X1)
| ~ cycle(X1,e_4)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_221,c_0_138]),
[final] ).
cnf(c_0_235,axiom,
group_element(e_5),
element_5,
[final] ).
cnf(c_0_238,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_78,c_0_235]),
[final] ).
cnf(c_0_242,plain,
( ~ product(X1,e_1,X2)
| ~ product(X1,e_5,X2) ),
inference(spm,[status(thm)],[c_0_111,c_0_98]),
[final] ).
cnf(c_0_247,plain,
( ~ product(e_1,e_5,e_1)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_3)
| product(e_1,e_1,e_4)
| product(e_1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_242,c_0_91]),
[final] ).
cnf(c_0_249,plain,
( ~ product(X1,X2,X4)
| ~ product(X1,X2,X3)
| equalish(X3,X4) ),
c_0_244,
[final] ).
cnf(c_0_255,axiom,
greater(e_4,e_1),
e_4_greater_e_1,
[final] ).
cnf(c_0_256,plain,
( ~ product(X1,X2,e_4)
| ~ product(X1,X2,e_5) ),
inference(spm,[status(thm)],[c_0_115,c_0_249]),
[final] ).
cnf(c_0_258,plain,
( ~ product(e_4,X1,X2)
| ~ product(e_1,X1,X2) ),
inference(spm,[status(thm)],[c_0_170,c_0_84]),
[final] ).
cnf(c_0_259,plain,
( ~ product(X1,X2,e_2)
| ~ product(X1,X2,e_5) ),
inference(spm,[status(thm)],[c_0_112,c_0_249]),
[final] ).
cnf(c_0_260,plain,
( ~ product(e_4,X1,X2)
| ~ product(e_3,X1,X2) ),
inference(spm,[status(thm)],[c_0_133,c_0_84]),
[final] ).
cnf(c_0_261,plain,
( ~ product(X1,X2,e_3)
| ~ product(X1,X2,e_5) ),
inference(spm,[status(thm)],[c_0_114,c_0_249]),
[final] ).
cnf(c_0_278,plain,
( ~ product(X1,e_4,X2)
| ~ product(X1,e_3,X2) ),
inference(spm,[status(thm)],[c_0_133,c_0_98]),
[final] ).
cnf(c_0_293,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_78,c_0_66]),
[final] ).
cnf(c_0_299,plain,
( ~ product(e_1,e_3,e_1)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_3)
| product(e_1,e_1,e_4)
| product(e_1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_107,c_0_91]),
[final] ).
cnf(c_0_304,plain,
( ~ product(X1,e_4,X2)
| ~ product(X1,e_5,X2) ),
inference(spm,[status(thm)],[c_0_115,c_0_98]),
[final] ).
cnf(c_0_308,plain,
( ~ product(e_1,e_4,e_2)
| product(e_1,e_5,e_5)
| product(e_1,e_5,e_4)
| product(e_1,e_5,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_292]),c_0_304]),
[final] ).
cnf(c_0_312,plain,
( ~ product(X1,e_3,X2)
| ~ product(X1,e_5,X2) ),
inference(spm,[status(thm)],[c_0_114,c_0_98]),
[final] ).
cnf(c_0_325,axiom,
group_element(e_2),
element_2,
[final] ).
cnf(c_0_330,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_78,c_0_325]),
[final] ).
cnf(c_0_333,plain,
( ~ product(e_3,X1,X2)
| ~ product(e_5,X1,X2) ),
inference(spm,[status(thm)],[c_0_114,c_0_84]),
[final] ).
cnf(c_0_337,plain,
( ~ product(X1,e_3,X2)
| ~ product(X1,e_2,X2) ),
inference(spm,[status(thm)],[c_0_67,c_0_98]),
[final] ).
cnf(c_0_338,plain,
( ~ product(X1,e_2,X2)
| ~ product(X1,e_1,X2) ),
inference(spm,[status(thm)],[c_0_201,c_0_98]),
[final] ).
cnf(c_0_342,plain,
( ~ product(X1,e_4,X2)
| ~ product(X1,e_2,X2) ),
inference(spm,[status(thm)],[c_0_69,c_0_98]),
[final] ).
cnf(c_0_348,plain,
( ~ product(e_4,X1,X2)
| ~ product(e_5,X1,X2) ),
inference(spm,[status(thm)],[c_0_115,c_0_84]),
[final] ).
cnf(c_0_356,plain,
( ~ product(X1,X2,e_4)
| ~ product(X1,X2,e_2) ),
inference(spm,[status(thm)],[c_0_69,c_0_249]),
[final] ).
cnf(c_0_378,plain,
( ~ product(X1,X2,e_4)
| ~ product(X1,X2,e_3) ),
inference(spm,[status(thm)],[c_0_133,c_0_249]),
[final] ).
cnf(c_0_393,plain,
( ~ product(e_3,X1,X2)
| ~ product(e_2,X1,X2) ),
inference(spm,[status(thm)],[c_0_67,c_0_84]),
[final] ).
cnf(c_0_405,negated_conjecture,
~ product(e_3,e_3,e_2),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_397]),c_0_107]),c_0_259]),c_0_398]),c_0_312]),
[final] ).
cnf(c_0_406,plain,
( ~ product(e_2,X1,X2)
| ~ product(e_1,X1,X2) ),
inference(spm,[status(thm)],[c_0_201,c_0_84]),
[final] ).
cnf(c_0_413,plain,
( ~ product(X1,X2,e_3)
| ~ product(X1,X2,e_2) ),
inference(spm,[status(thm)],[c_0_67,c_0_249]),
[final] ).
cnf(c_0_417,plain,
( ~ product(X1,X2,e_2)
| ~ product(X1,X2,e_1) ),
inference(spm,[status(thm)],[c_0_201,c_0_249]),
[final] ).
cnf(c_0_420,negated_conjecture,
~ product(e_3,e_1,e_5),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_260,c_0_234]),c_0_261]),c_0_259]),
[final] ).
cnf(c_0_422,negated_conjecture,
~ product(e_3,e_4,e_2),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_412]),c_0_304]),c_0_413]),
[final] ).
cnf(c_0_424,negated_conjecture,
~ product(e_2,e_1,e_2),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_393,c_0_416]),c_0_413]),c_0_417]),
[final] ).
cnf(c_0_427,plain,
( ~ product(e_1,X1,X2)
| ~ product(e_5,X1,X2) ),
inference(spm,[status(thm)],[c_0_111,c_0_84]),
[final] ).
cnf(c_0_433,plain,
( ~ product(e_4,X1,X2)
| ~ product(e_2,X1,X2) ),
inference(spm,[status(thm)],[c_0_69,c_0_84]),
[final] ).
cnf(c_0_502,negated_conjecture,
~ product(e_2,e_3,e_3),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_500]),c_0_261]),c_0_378]),c_0_413]),
[final] ).
cnf(c_0_511,plain,
( ~ product(X1,e_2,X2)
| ~ product(X1,e_5,X2) ),
inference(spm,[status(thm)],[c_0_112,c_0_98]),
[final] ).
cnf(c_0_523,negated_conjecture,
~ product(e_3,e_2,e_2),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_519]),c_0_514]),
[final] ).
cnf(c_0_555,axiom,
greater(e_4,e_2),
e_4_greater_e_2,
[final] ).
cnf(c_0_556,plain,
~ equalish(e_5,e_3),
c_0_548,
[final] ).
cnf(c_0_563,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_65,c_0_325]),
[final] ).
cnf(c_0_564,plain,
( ~ next(X1,e_3)
| ~ greater(X2,e_0)
| ~ cycle(X1,X2)
| ~ product(X1,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_131,c_0_158]),
[final] ).
cnf(c_0_565,plain,
( ~ next(X1,e_3)
| ~ greater(X2,e_0)
| ~ cycle(X1,X2)
| ~ product(X1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_556,c_0_158]),
[final] ).
cnf(c_0_566,plain,
( ~ next(X1,e_3)
| ~ greater(X2,e_0)
| ~ cycle(X1,X2)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_133,c_0_158]),
[final] ).
cnf(c_0_567,plain,
( ~ next(X1,e_3)
| ~ greater(X2,e_0)
| ~ cycle(X1,X2)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_132,c_0_158]),
[final] ).
cnf(c_0_608,axiom,
greater(e_3,e_2),
e_3_greater_e_2,
[final] ).
cnf(c_0_633,axiom,
greater(e_5,e_2),
e_5_greater_e_2,
[final] ).
cnf(c_0_683,negated_conjecture,
product(e_2,e_1,e_3),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_566,c_0_674]),c_0_113]),c_0_153])]),c_0_652]),
[final] ).
cnf(c_0_719,plain,
( ~ product(e_2,X1,X2)
| ~ product(e_5,X1,X2) ),
inference(spm,[status(thm)],[c_0_112,c_0_84]),
[final] ).
cnf(c_0_747,negated_conjecture,
~ product(e_2,e_2,e_3),
inference(spm,[status(thm)],[c_0_338,c_0_683]),
[final] ).
cnf(c_0_755,negated_conjecture,
( ~ product(X1,e_2,e_1)
| product(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_105,c_0_683]),
[final] ).
cnf(c_0_776,negated_conjecture,
product(e_4,e_1,e_5),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_770,c_0_140]),c_0_214]),c_0_138])]),
[final] ).
cnf(c_0_778,negated_conjecture,
~ product(e_2,e_4,e_3),
inference(spm,[status(thm)],[c_0_181,c_0_683]),
[final] ).
cnf(c_0_782,negated_conjecture,
( ~ product(X1,e_4,e_1)
| product(e_1,X1,e_5) ),
inference(spm,[status(thm)],[c_0_105,c_0_776]),
[final] ).
cnf(c_0_795,negated_conjecture,
~ product(e_2,e_1,e_5),
inference(spm,[status(thm)],[c_0_433,c_0_776]),
[final] ).
cnf(c_0_801,axiom,
greater(e_5,e_4),
e_5_greater_e_4,
[final] ).
cnf(c_0_819,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_143,c_0_563]),c_0_144]),c_0_145]),
[final] ).
cnf(c_0_822,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_819,c_0_153]),
[final] ).
cnf(c_0_831,negated_conjecture,
~ product(e_2,e_2,e_5),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_828,c_0_829]),c_0_256]),
[final] ).
cnf(c_0_842,negated_conjecture,
~ product(e_2,e_3,e_2),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_259,c_0_839]),c_0_337]),
[final] ).
cnf(c_0_850,negated_conjecture,
~ product(e_4,e_3,e_5),
inference(spm,[status(thm)],[c_0_107,c_0_776]),
[final] ).
cnf(c_0_881,negated_conjecture,
~ product(e_3,e_2,e_3),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_342,c_0_876]),c_0_337]),c_0_261]),
[final] ).
cnf(c_0_883,negated_conjecture,
( ~ product(e_1,e_3,e_5)
| product(e_2,e_3,e_4)
| product(e_3,e_4,e_1)
| product(e_1,e_4,e_4)
| product(e_1,e_4,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_278,c_0_879]),c_0_406]),
[final] ).
cnf(c_0_887,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_3,e_2,e_5) ),
inference(sr,[status(thm)],[c_0_802,c_0_881]),
[final] ).
cnf(c_0_905,negated_conjecture,
product(e_3,e_3,e_3),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_903,c_0_784]),c_0_502]),
[final] ).
cnf(c_0_908,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_3,e_5,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_389,c_0_905])]),
[final] ).
cnf(c_0_911,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_4,e_3,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_539,c_0_905])]),
[final] ).
cnf(c_0_915,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_3,e_4,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_348,c_0_910]),c_0_911]),
[final] ).
cnf(c_0_919,negated_conjecture,
( ~ product(e_3,e_5,e_2)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_242,c_0_915]),
[final] ).
cnf(c_0_920,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_3,e_5,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_916,c_0_908]),c_0_502]),
[final] ).
cnf(c_0_934,negated_conjecture,
( ~ product(X1,e_3,e_5)
| product(e_5,X1,e_2)
| product(e_2,e_3,e_4)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_105,c_0_920]),
[final] ).
cnf(c_0_937,negated_conjecture,
~ product(e_4,e_2,e_5),
inference(spm,[status(thm)],[c_0_338,c_0_776]),
[final] ).
cnf(c_0_946,negated_conjecture,
( ~ product(e_5,e_1,e_2)
| product(e_3,e_1,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_427,c_0_933]),c_0_333]),
[final] ).
cnf(c_0_947,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_5,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_934,c_0_935]),
[final] ).
cnf(c_0_957,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_2,e_3,e_4)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_946,c_0_947]),
[final] ).
cnf(c_0_960,negated_conjecture,
( ~ product(X1,e_4,e_3)
| product(e_3,X1,e_2)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_105,c_0_911]),
[final] ).
cnf(c_0_980,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_3,e_2,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_348,c_0_973]),c_0_974]),
[final] ).
cnf(c_0_983,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_4,e_2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_333,c_0_979]),c_0_980]),
[final] ).
cnf(c_0_985,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_258,c_0_982]),c_0_983]),
[final] ).
cnf(c_0_986,negated_conjecture,
( ~ product(X1,e_3,e_2)
| product(e_2,X1,e_5)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_105,c_0_887]),
[final] ).
cnf(c_0_990,negated_conjecture,
~ product(e_3,e_1,e_3),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_378,c_0_985]),c_0_413]),
[final] ).
cnf(c_0_992,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_256,c_0_987]),c_0_406]),
[final] ).
cnf(c_0_994,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_2,e_3,e_5)
| product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[c_0_634,c_0_842]),
[final] ).
cnf(c_0_996,negated_conjecture,
~ product(e_4,e_1,e_4),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_762]),c_0_113]),c_0_138])]),c_0_256]),
[final] ).
cnf(c_0_997,negated_conjecture,
~ product(e_4,e_1,e_3),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_209,c_0_762]),c_0_113]),c_0_138])]),c_0_261]),
[final] ).
cnf(c_0_998,negated_conjecture,
~ product(e_4,e_1,e_2),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_210,c_0_762]),c_0_113]),c_0_138])]),c_0_259]),
[final] ).
cnf(c_0_1001,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_2,e_4,e_5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_393,c_0_991]),c_0_683])]),
[final] ).
cnf(c_0_1027,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_5,e_4,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1015,c_0_1016]),c_0_1017]),
[final] ).
cnf(c_0_1040,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_3,e_2,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1028,c_0_683]),c_0_523]),
[final] ).
cnf(c_0_1042,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_3,e_1,e_2) ),
inference(sr,[status(thm)],[c_0_309,c_0_990]),
[final] ).
cnf(c_0_1059,negated_conjecture,
( product(e_5,e_3,e_4)
| product(e_3,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_259,c_0_1047]),c_0_1048]),
[final] ).
cnf(c_0_1069,negated_conjecture,
( ~ product(X1,e_5,e_1)
| product(e_1,X1,e_2)
| product(e_2,e_3,e_4)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_105,c_0_947]),
[final] ).
cnf(c_0_1070,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_2,e_4)
| product(e_4,e_5,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1058,c_0_1059]),c_0_1033]),
[final] ).
cnf(c_0_1077,negated_conjecture,
( ~ product(e_3,e_2,e_4)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_338,c_0_985]),
[final] ).
cnf(c_0_1078,negated_conjecture,
( ~ product(e_2,e_3,e_4)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_719,c_0_1059]),
[final] ).
cnf(c_0_1079,plain,
( ~ product(X1,X2,e_1)
| ~ product(X1,X2,e_5) ),
inference(spm,[status(thm)],[c_0_111,c_0_249]),
[final] ).
cnf(c_0_1098,negated_conjecture,
~ product(e_4,e_5,e_5),
inference(spm,[status(thm)],[c_0_242,c_0_776]),
[final] ).
cnf(c_0_1099,negated_conjecture,
~ product(e_4,e_4,e_5),
inference(spm,[status(thm)],[c_0_181,c_0_776]),
[final] ).
cnf(c_0_1100,negated_conjecture,
( ~ product(X1,e_3,e_1)
| ~ product(e_3,e_2,e_4)
| product(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_105,c_0_1077]),
[final] ).
cnf(c_0_1101,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1033,c_0_1086]),c_0_1087]),
[final] ).
cnf(c_0_1102,negated_conjecture,
( ~ product(X1,e_3,e_1)
| ~ product(e_2,e_3,e_4)
| product(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_105,c_0_1078]),
[final] ).
cnf(c_0_1109,plain,
( ~ next(X1,e_4)
| ~ greater(X2,e_0)
| ~ cycle(X1,X2)
| ~ product(X1,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_122,c_0_158]),
[final] ).
cnf(c_0_1111,plain,
( ~ product(X1,X2,e_3)
| ~ product(X1,X2,e_1) ),
inference(spm,[status(thm)],[c_0_83,c_0_249]),
[final] ).
cnf(c_0_1119,negated_conjecture,
( ~ product(X1,e_3,e_1)
| product(e_1,X1,e_2)
| product(e_2,e_3,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1100,c_0_1101]),c_0_1102]),
[final] ).
cnf(c_0_1123,negated_conjecture,
( ~ product(e_2,e_3,e_5)
| product(e_3,e_2,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_406,c_0_935]),c_0_256]),
[final] ).
cnf(c_0_1124,negated_conjecture,
product(e_2,e_2,e_2),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_393,c_0_1106]),c_0_824]),
[final] ).
cnf(c_0_1125,negated_conjecture,
( ~ product(X1,e_3,e_1)
| product(e_1,X1,e_2)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_105,c_0_1001]),
[final] ).
cnf(c_0_1128,negated_conjecture,
~ product(e_3,e_1,e_1),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1109,c_0_1110]),c_0_113]),c_0_89])]),c_0_426]),c_0_267]),c_0_266]),c_0_1111]),c_0_417]),
[final] ).
cnf(c_0_1139,negated_conjecture,
( ~ product(X1,e_2,e_2)
| product(e_2,X1,e_2) ),
inference(spm,[status(thm)],[c_0_105,c_0_1124]),
[final] ).
cnf(c_0_1141,negated_conjecture,
( product(e_5,e_3,e_4)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_4) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1126,c_0_1127]),c_0_1128]),c_0_1129]),c_0_1130]),c_0_1131]),
[final] ).
cnf(c_0_1144,negated_conjecture,
~ product(e_4,e_2,e_4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_719,c_0_1133]),c_0_1124])]),
[final] ).
cnf(c_0_1178,negated_conjecture,
( ~ product(e_3,e_2,e_4)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_256,c_0_1040]),
[final] ).
cnf(c_0_1203,negated_conjecture,
( ~ product(X1,e_3,e_3)
| product(e_3,X1,e_3) ),
inference(spm,[status(thm)],[c_0_105,c_0_905]),
[final] ).
cnf(c_0_1211,negated_conjecture,
( ~ product(X1,e_3,e_2)
| product(e_2,X1,e_5)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_105,c_0_1040]),
[final] ).
cnf(c_0_1230,negated_conjecture,
( product(e_5,e_3,e_4)
| product(e_2,e_3,e_5)
| product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[c_0_1225,c_0_842]),
[final] ).
cnf(c_0_1231,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_4,e_5) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1226,c_0_1227]),c_0_1178]),c_0_1228]),
[final] ).
cnf(c_0_1247,plain,
( ~ product(e_5,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_3)
| product(e_1,e_1,e_4)
| product(e_1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_427,c_0_91]),
[final] ).
cnf(c_0_1251,negated_conjecture,
( ~ product(X1,e_3,e_2)
| product(e_2,X1,e_4)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_105,c_0_1101]),
[final] ).
cnf(c_0_1257,negated_conjecture,
~ product(e_2,e_5,e_3),
inference(spm,[status(thm)],[c_0_242,c_0_683]),
[final] ).
cnf(c_0_1261,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_2,e_3,e_5)
| product(e_3,e_5,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1255,c_0_1256]),c_0_1257]),
[final] ).
cnf(c_0_1263,negated_conjecture,
( ~ product(e_5,e_1,e_3)
| product(e_1,e_1,e_2)
| product(e_3,e_1,e_2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_427,c_0_449]),c_0_333]),c_0_719]),
[final] ).
cnf(c_0_1265,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_5)
| product(e_2,e_5,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1260,c_0_1261]),c_0_1041]),
[final] ).
cnf(c_0_1267,negated_conjecture,
( ~ product(X1,e_5,e_4)
| product(e_4,X1,e_3)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_105,c_0_1027]),
[final] ).
cnf(c_0_1269,negated_conjecture,
( ~ product(X1,e_2,e_5)
| product(e_5,X1,e_1)
| product(e_2,e_3,e_5)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_105,c_0_1265]),
[final] ).
cnf(c_0_1271,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_1,e_5,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1267,c_0_1268]),c_0_997]),
[final] ).
cnf(c_0_1272,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_1269,c_0_1040]),
[final] ).
cnf(c_0_1273,negated_conjecture,
( product(e_5,e_1,e_2)
| product(e_3,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_1270]),c_0_1042]),
[final] ).
cnf(c_0_1275,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_348,c_0_1272]),c_0_433]),
[final] ).
cnf(c_0_1276,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_3,e_1,e_2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_895,c_0_1273]),c_0_1077]),c_0_1274]),
[final] ).
cnf(c_0_1277,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_256,c_0_935]),c_0_406]),
[final] ).
cnf(c_0_1279,negated_conjecture,
( ~ product(e_3,e_5,e_2)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_242,c_0_1276]),
[final] ).
cnf(c_0_1281,negated_conjecture,
( product(e_4,e_3,e_2)
| product(e_2,e_3,e_5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_260,c_0_1278]),c_0_905])]),
[final] ).
cnf(c_0_1284,negated_conjecture,
( ~ product(X1,e_4,e_3)
| product(e_3,X1,e_2)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_105,c_0_1281]),
[final] ).
cnf(c_0_1286,negated_conjecture,
( ~ product(e_2,e_3,e_1)
| product(e_2,e_5,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_312,c_0_1282]),c_0_1079]),
[final] ).
cnf(c_0_1289,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_3,e_5,e_2)
| product(e_5,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_1284,c_0_1239]),
[final] ).
cnf(c_0_1290,negated_conjecture,
( ~ product(e_2,e_3,e_1)
| product(e_4,e_2,e_3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1285,c_0_1286]),c_0_1240]),c_0_1079]),
[final] ).
cnf(c_0_1295,negated_conjecture,
( ~ product(X1,e_5,e_4)
| product(e_4,X1,e_2)
| product(e_3,e_5,e_2)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_105,c_0_1289]),
[final] ).
cnf(c_0_1297,plain,
( ~ product(e_1,e_5,e_2)
| product(e_1,e_4,e_5)
| product(e_1,e_4,e_4)
| product(e_1,e_4,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_242,c_0_229]),c_0_304]),
[final] ).
cnf(c_0_1301,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_3,e_2,e_4) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1292,c_0_1227]),c_0_1293]),c_0_1294]),
[final] ).
cnf(c_0_1305,negated_conjecture,
( ~ product(e_2,e_3,e_1)
| product(e_3,e_5,e_2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1295,c_0_1286]),c_0_1296]),c_0_1079]),
[final] ).
cnf(c_0_1312,negated_conjecture,
( ~ product(e_2,e_3,e_1)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_919,c_0_1305]),
[final] ).
cnf(c_0_1315,negated_conjecture,
( ~ product(X1,e_3,e_2)
| product(e_2,X1,e_4)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_105,c_0_1301]),
[final] ).
cnf(c_0_1319,negated_conjecture,
( ~ product(e_2,e_3,e_1)
| product(e_1,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_782,c_0_1312]),
[final] ).
cnf(c_0_1326,negated_conjecture,
~ product(e_5,e_3,e_5),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_427,c_0_1319]),c_0_1320]),
[final] ).
cnf(c_0_1361,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_2,e_5,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_278,c_0_1357]),c_0_905])]),
[final] ).
cnf(c_0_1362,negated_conjecture,
~ product(e_3,e_4,e_4),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_260,c_0_1358]),c_0_342]),
[final] ).
cnf(c_0_1365,negated_conjecture,
~ product(e_2,e_4,e_4),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_304,c_0_1361]),c_0_256]),
[final] ).
cnf(c_0_1373,negated_conjecture,
( ~ product(e_5,e_4,e_3)
| product(e_1,e_4,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_427,c_0_1367]),c_0_333]),
[final] ).
cnf(c_0_1376,negated_conjecture,
( ~ product(e_5,e_4,e_2)
| product(e_2,e_4,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_427,c_0_1370]),c_0_719]),
[final] ).
cnf(c_0_1392,negated_conjecture,
~ product(e_2,e_4,e_2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_278,c_0_1388]),c_0_905])]),
[final] ).
cnf(c_0_1407,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_1,e_5,e_2)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_1119,c_0_1272]),
[final] ).
cnf(c_0_1411,negated_conjecture,
( ~ product(X1,e_3,e_2)
| ~ product(e_2,e_3,e_5)
| product(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_105,c_0_1123]),
[final] ).
cnf(c_0_1417,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_417,c_0_1410]),c_0_1411]),
[final] ).
cnf(c_0_1419,negated_conjecture,
( ~ product(X1,e_5,e_3)
| product(e_3,X1,e_1)
| product(e_2,e_3,e_5)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_105,c_0_1272]),
[final] ).
cnf(c_0_1420,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_4,e_5,e_3)
| product(e_2,e_3,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_304,c_0_1413]),c_0_1414]),
[final] ).
cnf(c_0_1425,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_3,e_4,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1419,c_0_1420]),c_0_1312]),
[final] ).
cnf(c_0_1427,negated_conjecture,
( ~ product(e_5,e_4,e_3)
| product(e_5,e_3,e_4)
| product(e_5,e_3,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1422,c_0_1373]),c_0_278]),
[final] ).
cnf(c_0_1430,negated_conjecture,
( product(e_1,e_3,e_5)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_782,c_0_1425]),
[final] ).
cnf(c_0_1431,negated_conjecture,
( ~ product(X1,e_3,e_1)
| product(e_1,X1,e_2)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_105,c_0_1276]),
[final] ).
cnf(c_0_1435,negated_conjecture,
( ~ product(e_2,e_3,e_4)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_312,c_0_1361]),
[final] ).
cnf(c_0_1446,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_2,e_5,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_278,c_0_1444]),c_0_905])]),
[final] ).
cnf(c_0_1448,negated_conjecture,
( ~ product(e_3,e_2,e_4)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_256,c_0_1446]),
[final] ).
cnf(c_0_1449,negated_conjecture,
( ~ product(X1,e_3,e_4)
| product(e_4,X1,e_1)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_105,c_0_1425]),
[final] ).
cnf(c_0_1452,negated_conjecture,
( ~ product(e_2,e_3,e_5)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_1448,c_0_1123]),
[final] ).
cnf(c_0_1454,negated_conjecture,
~ product(e_2,e_5,e_5),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1079,c_0_1282]),c_0_256]),c_0_312]),
[final] ).
cnf(c_0_1455,negated_conjecture,
( product(e_5,e_4,e_3)
| product(e_5,e_4,e_2) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1451,c_0_1452]),c_0_1144]),c_0_1239]),
[final] ).
cnf(c_0_1461,negated_conjecture,
~ product(e_4,e_4,e_3),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_348,c_0_1455]),c_0_1456]),
[final] ).
cnf(c_0_1462,negated_conjecture,
~ product(e_4,e_4,e_2),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1457,c_0_1455]),c_0_348]),
[final] ).
cnf(c_0_1475,negated_conjecture,
product(e_4,e_4,e_4),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_406,c_0_1472]),c_0_1396]),
[final] ).
cnf(c_0_1476,negated_conjecture,
~ product(e_1,e_4,e_4),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_256,c_0_1472]),c_0_258]),
[final] ).
cnf(c_0_1479,negated_conjecture,
~ product(e_4,e_3,e_4),
inference(spm,[status(thm)],[c_0_278,c_0_1475]),
[final] ).
cnf(c_0_1481,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_1,e_4,e_2) ),
inference(sr,[status(thm)],[c_0_1370,c_0_1392]),
[final] ).
cnf(c_0_1485,negated_conjecture,
( ~ product(X1,e_5,e_4)
| product(e_4,X1,e_3)
| product(e_5,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_105,c_0_1455]),
[final] ).
cnf(c_0_1486,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_1,e_4,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_406,c_0_1480]),c_0_1481]),
[final] ).
cnf(c_0_1494,negated_conjecture,
( product(e_5,e_4,e_2)
| product(e_4,e_2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1485,c_0_1452]),c_0_1242]),
[final] ).
cnf(c_0_1502,negated_conjecture,
~ product(e_3,e_4,e_3),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_427,c_0_1495]),c_0_1496]),
[final] ).
cnf(c_0_1503,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1211,c_0_1497]),c_0_1454]),
[final] ).
cnf(c_0_1504,negated_conjecture,
( ~ product(e_2,e_3,e_4)
| ~ product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_242,c_0_1078]),
[final] ).
cnf(c_0_1509,negated_conjecture,
( product(e_4,e_2,e_3)
| product(e_4,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1203,c_0_1501]),c_0_1502]),
[final] ).
cnf(c_0_1511,negated_conjecture,
( ~ product(e_2,e_3,e_4)
| product(e_2,e_5,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1504,c_0_1261]),c_0_256]),
[final] ).
cnf(c_0_1515,negated_conjecture,
~ product(e_4,e_2,e_2),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_337,c_0_1509]),c_0_413]),
[final] ).
cnf(c_0_1517,negated_conjecture,
( ~ product(e_2,e_3,e_4)
| product(e_4,e_5,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1510,c_0_1511]),c_0_256]),
[final] ).
cnf(c_0_1523,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_4,e_2,e_3) ),
inference(sr,[status(thm)],[c_0_1299,c_0_1515]),
[final] ).
cnf(c_0_1524,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_1516,c_0_1517]),c_0_256]),
[final] ).
cnf(c_0_1525,negated_conjecture,
( ~ product(e_3,e_4,e_5)
| product(e_2,e_4,e_4)
| product(e_2,e_4,e_2)
| product(e_5,e_4,e_3)
| product(e_5,e_4,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_333,c_0_1518]),c_0_393]),
[final] ).
cnf(c_0_1526,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_3,e_2,e_5) ),
inference(sr,[status(thm)],[c_0_1429,c_0_1502]),
[final] ).
cnf(c_0_1529,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_4,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_986,c_0_1521]),c_0_1454]),
[final] ).
cnf(c_0_1533,negated_conjecture,
~ product(e_1,e_2,e_3),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_342,c_0_1523]),c_0_258]),
[final] ).
cnf(c_0_1534,negated_conjecture,
( ~ product(e_2,e_3,e_4)
| ~ product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_304,c_0_1524]),
[final] ).
cnf(c_0_1538,negated_conjecture,
( ~ product(X1,e_4,e_3)
| product(e_3,X1,e_2)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_105,c_0_1529]),
[final] ).
cnf(c_0_1540,plain,
( ~ product(e_1,e_2,e_4)
| product(e_1,e_1,e_2)
| product(e_1,e_3,e_5)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_338,c_0_322]),c_0_337]),
[final] ).
cnf(c_0_1542,plain,
( ~ product(X1,X2,e_4)
| ~ product(X1,X2,e_1) ),
inference(spm,[status(thm)],[c_0_170,c_0_249]),
[final] ).
cnf(c_0_1545,negated_conjecture,
( ~ product(e_5,e_4,e_3)
| ~ product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1534,c_0_1373]),
[final] ).
cnf(c_0_1546,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_5,e_4,e_3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_348,c_0_1535]),c_0_1475])]),
[final] ).
cnf(c_0_1550,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_1538,c_0_1500]),
[final] ).
cnf(c_0_1556,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1448,c_0_1046]),
[final] ).
cnf(c_0_1558,negated_conjecture,
( ~ product(e_2,e_3,e_4)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_1545,c_0_1546]),
[final] ).
cnf(c_0_1560,negated_conjecture,
( product(e_5,e_2,e_3)
| product(e_4,e_2,e_3) ),
inference(sr,[status(thm)],[c_0_1547,c_0_1515]),
[final] ).
cnf(c_0_1562,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_3,e_2,e_4)
| product(e_3,e_5,e_2) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1549,c_0_1550]),c_0_1257]),c_0_1551]),
[final] ).
cnf(c_0_1571,negated_conjecture,
( ~ product(X1,e_2,e_5)
| product(e_5,X1,e_4)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_105,c_0_1556]),
[final] ).
cnf(c_0_1572,negated_conjecture,
( ~ product(e_2,e_3,e_4)
| product(e_1,e_2,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1557,c_0_1558]),c_0_1559]),
[final] ).
cnf(c_0_1573,negated_conjecture,
( ~ product(X1,e_5,e_2)
| product(e_2,X1,e_3)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_105,c_0_1560]),
[final] ).
cnf(c_0_1576,negated_conjecture,
( product(e_1,e_3,e_5)
| product(e_3,e_1,e_2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1563,c_0_1042]),c_0_1274]),c_0_1077]),c_0_1564]),
[final] ).
cnf(c_0_1579,negated_conjecture,
( ~ product(e_3,e_2,e_4)
| ~ product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_242,c_0_1077]),
[final] ).
cnf(c_0_1585,negated_conjecture,
~ product(e_4,e_3,e_3),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1573,c_0_1574]),c_0_778]),c_0_337]),
[final] ).
cnf(c_0_1586,negated_conjecture,
( ~ product(X1,e_3,e_5)
| product(e_5,X1,e_2)
| product(e_3,e_2,e_4)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_105,c_0_1562]),
[final] ).
cnf(c_0_1588,negated_conjecture,
( ~ product(e_2,e_3,e_5)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_406,c_0_1576]),
[final] ).
cnf(c_0_1599,plain,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2) ),
inference(sr,[status(thm)],[c_0_1584,c_0_1585]),
[final] ).
cnf(c_0_1600,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_4,e_3,e_2) ),
inference(sr,[status(thm)],[c_0_1484,c_0_1585]),
[final] ).
cnf(c_0_1601,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_3,e_2,e_4)
| product(e_5,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_1586,c_0_1587]),
[final] ).
cnf(c_0_1602,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_3,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1449,c_0_1059]),c_0_1588]),
[final] ).
cnf(c_0_1605,negated_conjecture,
( ~ product(X1,e_3,e_4)
| product(e_4,X1,e_5)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_105,c_0_1526]),
[final] ).
cnf(c_0_1609,negated_conjecture,
( ~ product(e_2,e_3,e_1)
| product(e_1,e_4,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1592,c_0_1305]),c_0_1593]),
[final] ).
cnf(c_0_1615,negated_conjecture,
( ~ product(X1,e_4,e_3)
| product(e_3,X1,e_1)
| product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_105,c_0_1599]),
[final] ).
cnf(c_0_1616,negated_conjecture,
( ~ product(e_5,e_4,e_2)
| product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_427,c_0_1600]),
[final] ).
cnf(c_0_1617,negated_conjecture,
( ~ product(e_3,e_1,e_2)
| product(e_3,e_2,e_4)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_333,c_0_1601]),
[final] ).
cnf(c_0_1618,negated_conjecture,
( ~ product(e_3,e_5,e_1)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_260,c_0_1602]),
[final] ).
cnf(c_0_1620,negated_conjecture,
( ~ product(e_5,e_4,e_3)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_4)
| product(e_1,e_5,e_5) ),
inference(spm,[status(thm)],[c_0_308,c_0_1373]),
[final] ).
cnf(c_0_1622,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_5,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1605,c_0_1606]),c_0_1098]),
[final] ).
cnf(c_0_1625,negated_conjecture,
( ~ product(e_2,e_3,e_1)
| ~ product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_1079,c_0_1312]),
[final] ).
cnf(c_0_1626,negated_conjecture,
( ~ product(e_2,e_3,e_1)
| ~ product(e_5,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_427,c_0_1609]),
[final] ).
cnf(c_0_1629,negated_conjecture,
( product(e_1,e_3,e_5)
| product(e_3,e_4,e_5) ),
inference(sr,[status(thm)],[c_0_1591,c_0_1502]),
[final] ).
cnf(c_0_1633,negated_conjecture,
( product(e_4,e_3,e_2)
| product(e_3,e_5,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1615,c_0_1455]),c_0_1616]),
[final] ).
cnf(c_0_1634,negated_conjecture,
( ~ product(e_3,e_5,e_1)
| product(e_3,e_2,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1617,c_0_1618]),c_0_393]),
[final] ).
cnf(c_0_1640,negated_conjecture,
( ~ product(e_4,e_3,e_2)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_348,c_0_1622]),
[final] ).
cnf(c_0_1641,negated_conjecture,
( ~ product(e_2,e_3,e_1)
| product(e_1,e_5,e_3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1623,c_0_1286]),c_0_1624]),c_0_1625]),c_0_1626]),
[final] ).
cnf(c_0_1645,negated_conjecture,
( ~ product(e_2,e_3,e_5)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_406,c_0_1629]),
[final] ).
cnf(c_0_1647,negated_conjecture,
( ~ product(X1,e_1,e_4)
| product(e_4,X1,e_3)
| product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_105,c_0_1486]),
[final] ).
cnf(c_0_1649,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_2,e_3,e_1)
| product(e_3,e_5,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1251,c_0_1633]),c_0_1365]),
[final] ).
cnf(c_0_1656,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1640,c_0_1633]),
[final] ).
cnf(c_0_1659,negated_conjecture,
( ~ product(e_2,e_5,e_1)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_433,c_0_1602]),
[final] ).
cnf(c_0_1662,negated_conjecture,
~ product(e_2,e_5,e_2),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1448,c_0_1637]),c_0_356]),
[final] ).
cnf(c_0_1663,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_5,e_4,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1644,c_0_1645]),c_0_1646]),
[final] ).
cnf(c_0_1664,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_4,e_5,e_3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1647,c_0_1632]),c_0_1517]),c_0_1609]),
[final] ).
cnf(c_0_1665,negated_conjecture,
~ product(e_1,e_3,e_2),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_278,c_0_1600]),c_0_258]),
[final] ).
cnf(c_0_1666,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_2,e_3,e_1)
| product(e_1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1648,c_0_1649]),
[final] ).
cnf(c_0_1673,negated_conjecture,
( ~ product(e_2,e_3,e_5)
| ~ product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_242,c_0_1588]),
[final] ).
cnf(c_0_1675,negated_conjecture,
( ~ product(e_2,e_5,e_1)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_393,c_0_1656]),
[final] ).
cnf(c_0_1676,negated_conjecture,
~ product(e_3,e_5,e_3),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1111,c_0_1649]),c_0_1657]),c_0_1658]),
[final] ).
cnf(c_0_1677,negated_conjecture,
( ~ product(e_2,e_5,e_1)
| ~ product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_242,c_0_1659]),
[final] ).
cnf(c_0_1679,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_5,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1661,c_0_1446]),c_0_1662]),
[final] ).
cnf(c_0_1680,negated_conjecture,
( ~ product(e_1,e_4,e_2)
| product(e_5,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_413,c_0_1663]),
[final] ).
cnf(c_0_1683,negated_conjecture,
~ product(e_1,e_3,e_3),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_378,c_0_1666]),c_0_1667]),c_0_1668]),
[final] ).
cnf(c_0_1688,negated_conjecture,
( ~ product(e_1,e_5,e_2)
| product(e_1,e_2,e_4) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_356,c_0_1671]),c_0_413]),c_0_511]),
[final] ).
cnf(c_0_1690,negated_conjecture,
( ~ product(e_3,e_5,e_2)
| product(e_2,e_3,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_1407]),c_0_1673]),
[final] ).
cnf(c_0_1691,negated_conjecture,
( ~ product(e_2,e_5,e_1)
| product(e_3,e_5,e_4) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1674,c_0_1675]),c_0_1362]),c_0_1502]),c_0_1676]),c_0_1677]),
[final] ).
cnf(c_0_1693,negated_conjecture,
( ~ product(X1,e_5,e_3)
| product(e_3,X1,e_1)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_105,c_0_1679]),
[final] ).
cnf(c_0_1694,negated_conjecture,
( product(e_5,e_4,e_3)
| product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_1680,c_0_1664]),
[final] ).
cnf(c_0_1696,negated_conjecture,
( product(e_1,e_3,e_5)
| product(e_1,e_3,e_4) ),
inference(sr,[status(thm)],[c_0_1682,c_0_1683]),
[final] ).
cnf(c_0_1700,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1690,c_0_1562]),
[final] ).
cnf(c_0_1701,negated_conjecture,
( ~ product(X1,e_3,e_5)
| ~ product(e_2,e_5,e_1)
| product(e_5,X1,e_4) ),
inference(spm,[status(thm)],[c_0_105,c_0_1691]),
[final] ).
cnf(c_0_1702,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1448,c_0_1692]),
[final] ).
cnf(c_0_1703,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_3,e_4,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1693,c_0_1517]),c_0_1556]),
[final] ).
cnf(c_0_1704,negated_conjecture,
( ~ product(X1,e_5,e_4)
| product(e_4,X1,e_3)
| product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_105,c_0_1694]),
[final] ).
cnf(c_0_1708,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_90,c_0_1698]),c_0_1673]),
[final] ).
cnf(c_0_1709,negated_conjecture,
( ~ product(e_5,e_4,e_2)
| product(e_1,e_2,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_427,c_0_1699]),c_0_259]),
[final] ).
cnf(c_0_1711,negated_conjecture,
( ~ product(X1,e_3,e_2)
| product(e_2,X1,e_4)
| product(e_2,e_5,e_1)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_105,c_0_1700]),
[final] ).
cnf(c_0_1714,negated_conjecture,
( ~ product(X1,e_3,e_5)
| product(e_5,X1,e_4)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_1701,c_0_1702]),
[final] ).
cnf(c_0_1715,negated_conjecture,
( product(e_1,e_3,e_5)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_782,c_0_1703]),
[final] ).
cnf(c_0_1719,negated_conjecture,
( ~ product(e_5,e_4,e_2)
| ~ product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_90,c_0_1709]),
[final] ).
cnf(c_0_1720,negated_conjecture,
( product(e_5,e_3,e_2)
| product(e_5,e_3,e_4)
| product(e_5,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_1427,c_0_1455]),
[final] ).
cnf(c_0_1721,negated_conjecture,
~ product(e_3,e_5,e_5),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1079,c_0_1656]),c_0_511]),
[final] ).
cnf(c_0_1722,negated_conjecture,
( ~ product(X1,e_1,e_2)
| ~ product(e_5,e_4,e_2)
| product(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_105,c_0_1709]),
[final] ).
cnf(c_0_1723,negated_conjecture,
( ~ product(e_5,e_4,e_2)
| product(e_1,e_3,e_5)
| product(e_1,e_1,e_2) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1540,c_0_1709]),c_0_1665]),c_0_1710]),
[final] ).
cnf(c_0_1726,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_4,e_2,e_3) ),
inference(sr,[status(thm)],[c_0_1712,c_0_1515]),
[final] ).
cnf(c_0_1727,negated_conjecture,
( ~ product(X1,e_4,e_3)
| product(e_3,X1,e_2)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_105,c_0_1633]),
[final] ).
cnf(c_0_1728,negated_conjecture,
( ~ product(X1,e_3,e_5)
| product(e_5,X1,e_2)
| product(e_2,e_3,e_5)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_105,c_0_1261]),
[final] ).
cnf(c_0_1730,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_5,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_1714,c_0_1715]),
[final] ).
cnf(c_0_1731,negated_conjecture,
( ~ product(e_1,e_3,e_4)
| product(e_1,e_2,e_2)
| product(e_1,e_5,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_312,c_0_1671]),c_0_337]),
[final] ).
cnf(c_0_1736,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)],[inference(sr,[status(thm)],[c_0_1604,c_0_1721]),c_0_1676]),
[final] ).
cnf(c_0_1737,negated_conjecture,
( ~ product(X1,e_1,e_2)
| product(e_2,X1,e_4)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_1722,c_0_1494]),
[final] ).
cnf(c_0_1739,negated_conjecture,
~ product(e_2,e_1,e_4),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1448,c_0_969]),c_0_242]),
[final] ).
cnf(c_0_1740,negated_conjecture,
( ~ product(e_3,e_5,e_2)
| ~ product(e_5,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_427,c_0_1708]),
[final] ).
cnf(c_0_1742,negated_conjecture,
( product(e_4,e_2,e_3)
| product(e_2,e_5,e_1) ),
inference(sr,[status(thm)],[c_0_1725,c_0_1515]),
[final] ).
cnf(c_0_1743,negated_conjecture,
( ~ product(X1,e_4,e_2)
| product(e_2,X1,e_3)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_105,c_0_1726]),
[final] ).
cnf(c_0_1744,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_3,e_5,e_2)
| product(e_5,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_1727,c_0_1455]),
[final] ).
cnf(c_0_1745,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_2,e_3,e_5)
| product(e_5,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_1728,c_0_1729]),
[final] ).
cnf(c_0_1747,negated_conjecture,
~ product(e_5,e_5,e_4),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_242,c_0_1730]),c_0_719]),
[final] ).
cnf(c_0_1749,negated_conjecture,
( ~ product(e_2,e_5,e_1)
| product(e_5,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1485,c_0_1691]),c_0_1585]),
[final] ).
cnf(c_0_1750,negated_conjecture,
( ~ product(e_2,e_5,e_1)
| ~ product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_256,c_0_1675]),
[final] ).
cnf(c_0_1751,negated_conjecture,
( ~ product(e_2,e_3,e_5)
| ~ product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_342,c_0_1645]),
[final] ).
cnf(c_0_1752,negated_conjecture,
( ~ product(e_5,e_3,e_4)
| product(e_3,e_4,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_1733]),c_0_719]),
[final] ).
cnf(c_0_1753,negated_conjecture,
( product(e_4,e_5,e_3)
| product(e_5,e_3,e_4)
| product(e_5,e_3,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1734,c_0_1720]),c_0_1735]),
[final] ).
cnf(c_0_1754,negated_conjecture,
( ~ product(X1,e_3,e_5)
| product(e_5,X1,e_1)
| product(e_3,e_5,e_4)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_105,c_0_1736]),
[final] ).
cnf(c_0_1755,negated_conjecture,
( product(e_4,e_2,e_3)
| product(e_1,e_3,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1737,c_0_1738]),c_0_1739]),
[final] ).
cnf(c_0_1756,negated_conjecture,
( ~ product(e_3,e_5,e_2)
| product(e_4,e_2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1740,c_0_1217]),c_0_1579]),
[final] ).
cnf(c_0_1759,negated_conjecture,
( ~ product(X1,e_4,e_2)
| product(e_2,X1,e_3)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_105,c_0_1742]),
[final] ).
cnf(c_0_1760,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_5,e_2)
| product(e_3,e_5,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1743,c_0_1744]),c_0_1257]),
[final] ).
cnf(c_0_1763,negated_conjecture,
( ~ product(e_3,e_1,e_2)
| product(e_2,e_3,e_5)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_333,c_0_1745]),
[final] ).
cnf(c_0_1765,negated_conjecture,
~ product(e_5,e_5,e_3),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1139,c_0_1748]),c_0_424]),
[final] ).
cnf(c_0_1766,negated_conjecture,
( ~ product(e_2,e_5,e_1)
| product(e_4,e_5,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1734,c_0_1749]),c_0_1750]),
[final] ).
cnf(c_0_1767,negated_conjecture,
( ~ product(e_2,e_5,e_1)
| ~ product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_1751,c_0_1675]),
[final] ).
cnf(c_0_1770,negated_conjecture,
( ~ product(X1,e_3,e_5)
| product(e_5,X1,e_4)
| product(e_2,e_3,e_5)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_1701,c_0_1265]),
[final] ).
cnf(c_0_1774,negated_conjecture,
( product(e_2,e_5,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_1759,c_0_1744]),c_0_1257]),
[final] ).
cnf(c_0_1775,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_304,c_0_1760]),
[final] ).
cnf(c_0_1776,plain,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_5) ),
inference(sr,[status(thm)],[c_0_1761,c_0_1502]),
[final] ).
cnf(c_0_1777,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_5,e_1)
| product(e_4,e_5,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1762,c_0_1059]),c_0_1763]),
[final] ).
cnf(c_0_1779,negated_conjecture,
( ~ product(X1,e_5,e_4)
| product(e_4,X1,e_2)
| product(e_3,e_5,e_2)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_105,c_0_1744]),
[final] ).
cnf(c_0_1780,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_1516,c_0_1766]),c_0_1767]),
[final] ).
cnf(c_0_1784,negated_conjecture,
( ~ product(e_2,e_3,e_5)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_406,c_0_1755]),
[final] ).
cnf(c_0_1786,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_107,c_0_1632]),c_0_719]),
[final] ).
cnf(c_0_1787,negated_conjecture,
( ~ product(e_3,e_5,e_2)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_242,c_0_980]),
[final] ).
cnf(c_0_1789,negated_conjecture,
( ~ product(e_3,e_4,e_1)
| product(e_3,e_5,e_2)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_304,c_0_1774]),
[final] ).
cnf(c_0_1791,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_5,e_2)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_1775,c_0_1776]),
[final] ).
cnf(c_0_1792,negated_conjecture,
( ~ product(X1,e_4,e_5)
| product(e_5,X1,e_1)
| product(e_2,e_5,e_1)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_105,c_0_1777]),
[final] ).
cnf(c_0_1794,negated_conjecture,
( ~ product(e_2,e_3,e_5)
| product(e_3,e_5,e_1) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1779,c_0_1452]),c_0_1515]),c_0_1673]),
[final] ).
cnf(c_0_1797,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_4,e_2,e_3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1782,c_0_1783]),c_0_1290]),c_0_1784]),
[final] ).
cnf(c_0_1799,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_5,e_3,e_2)
| product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_1786,c_0_1753]),
[final] ).
cnf(c_0_1800,negated_conjecture,
( ~ product(e_2,e_3,e_1)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_1787,c_0_1305]),
[final] ).
cnf(c_0_1802,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_3,e_5,e_2)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_1789,c_0_1776]),
[final] ).
cnf(c_0_1805,negated_conjecture,
( ~ product(X1,e_3,e_5)
| product(e_5,X1,e_2)
| product(e_3,e_4,e_5)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_105,c_0_1791]),
[final] ).
cnf(c_0_1807,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_5,e_1)
| product(e_5,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_1792,c_0_1231]),
[final] ).
cnf(c_0_1812,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_4,e_5,e_3)
| product(e_2,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_986,c_0_1799]),c_0_1454]),
[final] ).
cnf(c_0_1813,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_1571,c_0_1800]),c_0_1542]),
[final] ).
cnf(c_0_1815,negated_conjecture,
( ~ product(X1,e_3,e_5)
| product(e_5,X1,e_2)
| product(e_3,e_4,e_5)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_105,c_0_1802]),
[final] ).
cnf(c_0_1817,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_1431,c_0_1679]),
[final] ).
cnf(c_0_1818,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_107,c_0_1804]),c_0_719]),
[final] ).
cnf(c_0_1819,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_4,e_5)
| product(e_5,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_1805,c_0_1629]),
[final] ).
cnf(c_0_1822,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_2,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_393,c_0_1810]),c_0_1703]),
[final] ).
cnf(c_0_1823,negated_conjecture,
( product(e_5,e_4,e_2)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_1811,c_0_1812]),
[final] ).
cnf(c_0_1824,negated_conjecture,
( ~ product(e_2,e_3,e_1)
| ~ product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_356,c_0_1813]),
[final] ).
cnf(c_0_1825,negated_conjecture,
( ~ product(e_1,e_2,e_5)
| product(e_1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_337,c_0_1696]),
[final] ).
cnf(c_0_1827,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_3,e_4,e_5)
| product(e_5,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_1815,c_0_1629]),
[final] ).
cnf(c_0_1828,negated_conjecture,
( ~ product(e_2,e_5,e_1)
| ~ product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_278,c_0_1749]),
[final] ).
cnf(c_0_1832,negated_conjecture,
( ~ product(e_1,e_2,e_5)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_337,c_0_1715]),
[final] ).
cnf(c_0_1836,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_5,e_3,e_2)
| product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_1818,c_0_1753]),
[final] ).
cnf(c_0_1839,negated_conjecture,
( ~ product(X1,e_3,e_4)
| product(e_4,X1,e_1)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_105,c_0_1822]),
[final] ).
cnf(c_0_1840,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_278,c_0_1823]),c_0_1824]),
[final] ).
cnf(c_0_1841,negated_conjecture,
( ~ product(e_1,e_2,e_5)
| ~ product(e_5,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_427,c_0_1825]),
[final] ).
cnf(c_0_1843,negated_conjecture,
( ~ product(X1,e_3,e_4)
| product(e_4,X1,e_1)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_105,c_0_1776]),
[final] ).
cnf(c_0_1844,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_107,c_0_1827]),c_0_1828]),
[final] ).
cnf(c_0_1845,negated_conjecture,
( ~ product(e_3,e_4,e_1)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_304,c_0_1649]),
[final] ).
cnf(c_0_1851,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_1,e_2,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1832,c_0_1544]),c_0_1833]),
[final] ).
cnf(c_0_1853,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_3,e_5,e_2)
| product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_1835,c_0_1836]),
[final] ).
cnf(c_0_1854,negated_conjecture,
~ product(e_5,e_4,e_5),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1837,c_0_1838]),c_0_333]),
[final] ).
cnf(c_0_1855,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_4,e_5,e_1)
| product(e_4,e_5,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1839,c_0_1753]),c_0_1840]),
[final] ).
cnf(c_0_1856,negated_conjecture,
( ~ product(e_3,e_5,e_2)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_242,c_0_1001]),
[final] ).
cnf(c_0_1861,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_4,e_5,e_1)
| product(e_4,e_5,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1843,c_0_1753]),c_0_1844]),
[final] ).
cnf(c_0_1862,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_2,e_3,e_1)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_1845,c_0_1776]),
[final] ).
cnf(c_0_1863,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_1846,c_0_1609]),c_0_1079]),
[final] ).
cnf(c_0_1864,negated_conjecture,
~ product(e_5,e_2,e_4),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1847,c_0_1065]),c_0_1848]),
[final] ).
cnf(c_0_1868,negated_conjecture,
( ~ product(e_4,e_3,e_2)
| product(e_4,e_5,e_3)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_348,c_0_1799]),
[final] ).
cnf(c_0_1869,negated_conjecture,
( ~ product(e_2,e_3,e_1)
| ~ product(e_1,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_337,c_0_1319]),
[final] ).
cnf(c_0_1871,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_3,e_5,e_2)
| product(e_1,e_5,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_258,c_0_1852]),c_0_1853]),
[final] ).
cnf(c_0_1874,negated_conjecture,
( product(e_1,e_5,e_2)
| product(e_1,e_5,e_3) ),
inference(sr,[status(thm)],[c_0_1581,c_0_1854]),
[final] ).
cnf(c_0_1875,negated_conjecture,
( ~ product(X1,e_4,e_5)
| product(e_5,X1,e_1)
| product(e_4,e_5,e_3)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_105,c_0_1855]),
[final] ).
cnf(c_0_1876,negated_conjecture,
( ~ product(e_2,e_3,e_1)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_1856,c_0_1305]),
[final] ).
cnf(c_0_1879,negated_conjecture,
( ~ product(X1,e_4,e_5)
| product(e_5,X1,e_1)
| product(e_4,e_5,e_3)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_105,c_0_1861]),
[final] ).
cnf(c_0_1880,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_4,e_5,e_3)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_1844,c_0_1799]),
[final] ).
cnf(c_0_1883,negated_conjecture,
~ product(e_5,e_2,e_5),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1865,c_0_1622]),c_0_333]),
[final] ).
cnf(c_0_1890,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_4,e_5,e_3)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1868,c_0_1633]),
[final] ).
cnf(c_0_1891,negated_conjecture,
( ~ product(e_2,e_3,e_1)
| product(e_1,e_2,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1869,c_0_1544]),c_0_1870]),
[final] ).
cnf(c_0_1893,negated_conjecture,
( ~ product(e_1,e_5,e_2)
| product(e_5,e_4,e_2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_259,c_0_1873]),c_0_356]),c_0_413]),
[final] ).
cnf(c_0_1894,negated_conjecture,
( ~ product(e_4,e_5,e_3)
| product(e_1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_258,c_0_1874]),
[final] ).
cnf(c_0_1895,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_4,e_5,e_3)
| product(e_5,e_2,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1875,c_0_1876]),c_0_1812]),
[final] ).
cnf(c_0_1900,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_4,e_5,e_3)
| product(e_5,e_2,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1879,c_0_1876]),c_0_1880]),
[final] ).
cnf(c_0_1901,negated_conjecture,
( ~ product(X1,e_1,e_4)
| ~ product(e_5,e_4,e_3)
| product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_105,c_0_1373]),
[final] ).
cnf(c_0_1902,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_5,e_4,e_3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_348,c_0_1881]),c_0_1475])]),
[final] ).
cnf(c_0_1909,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_3,e_5,e_1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1889,c_0_1890]),c_0_1891]),c_0_1892]),
[final] ).
cnf(c_0_1911,negated_conjecture,
( ~ product(e_4,e_5,e_3)
| product(e_5,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_1893,c_0_1894]),
[final] ).
cnf(c_0_1913,negated_conjecture,
~ product(e_1,e_2,e_2),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_511,c_0_1894]),c_0_1897]),
[final] ).
cnf(c_0_1916,negated_conjecture,
( ~ product(X1,e_5,e_3)
| product(e_3,X1,e_4)
| product(e_5,e_3,e_2)
| product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_105,c_0_1753]),
[final] ).
cnf(c_0_1918,negated_conjecture,
( ~ product(X1,e_1,e_4)
| product(e_4,X1,e_2)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1901,c_0_1902]),
[final] ).
cnf(c_0_1921,negated_conjecture,
( ~ product(e_5,e_4,e_2)
| product(e_5,e_2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_413,c_0_1903]),c_0_342]),
[final] ).
cnf(c_0_1923,negated_conjecture,
( ~ product(e_1,e_3,e_4)
| product(e_5,e_3,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_256,c_0_1904]),c_0_427]),
[final] ).
cnf(c_0_1928,negated_conjecture,
~ product(e_5,e_2,e_2),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_342,c_0_1911]),c_0_1912]),
[final] ).
cnf(c_0_1929,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_5,e_1,e_4) ),
inference(sr,[status(thm)],[c_0_1583,c_0_1913]),
[final] ).
cnf(c_0_1931,negated_conjecture,
( ~ product(X1,e_4,e_2)
| product(e_2,X1,e_3)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_105,c_0_1797]),
[final] ).
cnf(c_0_1933,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_1916,c_0_1917]),c_0_1844]),
[final] ).
cnf(c_0_1937,negated_conjecture,
~ product(e_5,e_3,e_3),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1921,c_0_1922]),c_0_337]),
[final] ).
cnf(c_0_1941,plain,
( product(e_5,e_2,e_1)
| product(e_5,e_2,e_3) ),
inference(sr,[status(thm)],[c_0_1927,c_0_1928]),
[final] ).
cnf(c_0_1942,negated_conjecture,
( ~ product(X1,e_1,e_4)
| product(e_4,X1,e_2)
| product(e_5,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_1901,c_0_1455]),
[final] ).
cnf(c_0_1943,negated_conjecture,
( ~ product(e_3,e_2,e_4)
| product(e_5,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_90,c_0_1929]),
[final] ).
cnf(c_0_1944,negated_conjecture,
( ~ product(e_5,e_2,e_3)
| product(e_5,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_342,c_0_1455]),
[final] ).
cnf(c_0_1947,negated_conjecture,
( ~ product(e_2,e_3,e_5)
| product(e_1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_406,c_0_1696]),
[final] ).
cnf(c_0_1948,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_5,e_3,e_4)
| product(e_5,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1931,c_0_1720]),c_0_1257]),
[final] ).
cnf(c_0_1950,negated_conjecture,
( ~ product(e_4,e_2,e_3)
| product(e_3,e_4,e_5)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_511,c_0_1933]),
[final] ).
cnf(c_0_1953,plain,
( product(e_5,e_3,e_4)
| product(e_5,e_3,e_2)
| product(e_5,e_3,e_1) ),
inference(sr,[status(thm)],[c_0_1936,c_0_1937]),
[final] ).
cnf(c_0_1957,negated_conjecture,
( product(e_1,e_5,e_2)
| product(e_3,e_5,e_1)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_1940,c_0_1890]),
[final] ).
cnf(c_0_1958,negated_conjecture,
( ~ product(X1,e_5,e_2)
| product(e_2,X1,e_1)
| product(e_5,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_105,c_0_1941]),
[final] ).
cnf(c_0_1959,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_1942,c_0_1943]),c_0_1719]),
[final] ).
cnf(c_0_1960,negated_conjecture,
( ~ product(e_5,e_2,e_3)
| ~ product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_1719,c_0_1944]),
[final] ).
cnf(c_0_1962,negated_conjecture,
( ~ product(e_2,e_3,e_5)
| ~ product(e_5,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_427,c_0_1947]),
[final] ).
cnf(c_0_1963,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_5,e_3,e_4)
| product(e_5,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1759,c_0_1720]),c_0_1257]),
[final] ).
cnf(c_0_1964,negated_conjecture,
( ~ product(X1,e_5,e_3)
| product(e_3,X1,e_4)
| product(e_5,e_3,e_2)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_105,c_0_1948]),
[final] ).
cnf(c_0_1966,negated_conjecture,
( ~ product(e_5,e_3,e_4)
| product(e_5,e_4,e_5)
| product(e_5,e_4,e_3)
| product(e_1,e_3,e_3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_427,c_0_1949]),c_0_719]),c_0_278]),
[final] ).
cnf(c_0_1967,negated_conjecture,
( ~ product(X1,e_1,e_4)
| product(e_4,X1,e_3)
| product(e_5,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_105,c_0_1663]),
[final] ).
cnf(c_0_1968,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_3,e_4,e_5)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_1950,c_0_1797]),
[final] ).
cnf(c_0_1972,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_1952,c_0_1517]),c_0_256]),
[final] ).
cnf(c_0_1973,negated_conjecture,
( ~ product(X1,e_5,e_3)
| product(e_3,X1,e_1)
| product(e_5,e_3,e_2)
| product(e_5,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_105,c_0_1953]),
[final] ).
cnf(c_0_1974,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_5,e_3,e_4)
| product(e_5,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1743,c_0_1720]),c_0_1257]),
[final] ).
cnf(c_0_1975,negated_conjecture,
( product(e_5,e_3,e_2)
| product(e_1,e_3,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_1954]),c_0_1576]),
[final] ).
cnf(c_0_1978,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_125,c_0_563]),c_0_126]),c_0_127]),c_0_128]),
[final] ).
cnf(c_0_1979,negated_conjecture,
( product(e_5,e_4,e_2)
| product(e_2,e_3,e_1)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1893,c_0_1957]),
[final] ).
cnf(c_0_1980,negated_conjecture,
( ~ product(e_3,e_2,e_4)
| product(e_2,e_4,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1958,c_0_1959]),c_0_1960]),
[final] ).
cnf(c_0_1981,negated_conjecture,
( ~ product(e_3,e_4,e_5)
| product(e_5,e_3,e_2)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_333,c_0_1961]),c_0_1079]),c_0_278]),
[final] ).
cnf(c_0_1982,plain,
( ~ product(e_2,e_4,e_1)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_393,c_0_1776]),
[final] ).
cnf(c_0_1983,negated_conjecture,
( ~ product(e_5,e_3,e_2)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_356,c_0_1059]),
[final] ).
cnf(c_0_1984,negated_conjecture,
( ~ product(e_2,e_3,e_5)
| product(e_5,e_3,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1962,c_0_1963]),c_0_1767]),
[final] ).
cnf(c_0_1991,negated_conjecture,
( ~ product(e_5,e_4,e_2)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_413,c_0_1546]),
[final] ).
cnf(c_0_1993,negated_conjecture,
( product(e_1,e_2,e_5)
| product(e_1,e_2,e_4) ),
inference(sr,[status(thm)],[c_0_1544,c_0_1913]),
[final] ).
cnf(c_0_1994,negated_conjecture,
( ~ product(e_2,e_3,e_4)
| ~ product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_278,c_0_1972]),
[final] ).
cnf(c_0_1995,negated_conjecture,
( product(e_5,e_3,e_2)
| product(e_3,e_4,e_1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1973,c_0_1517]),c_0_1974]),c_0_1752]),
[final] ).
cnf(c_0_1998,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_5,e_1)
| product(e_3,e_5,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1711,c_0_1633]),c_0_1365]),
[final] ).
cnf(c_0_2001,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_134,c_0_563]),c_0_135]),c_0_136]),
[final] ).
cnf(c_0_2002,plain,
( ~ next(e_2,X1)
| ~ cycle(X1,e_4)
| cycle(e_2,e_0) ),
inference(spm,[status(thm)],[c_0_1978,c_0_138]),
[final] ).
cnf(c_0_2004,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_278,c_0_1979]),c_0_1824]),
[final] ).
cnf(c_0_2005,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_5,e_1)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_1980,c_0_1700]),
[final] ).
cnf(c_0_2006,negated_conjecture,
( ~ product(X1,e_1,e_2)
| product(e_2,X1,e_4)
| product(e_5,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_105,c_0_1929]),
[final] ).
cnf(c_0_2008,negated_conjecture,
( ~ product(e_2,e_4,e_1)
| product(e_3,e_1,e_2) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1981,c_0_1982]),c_0_990]),c_0_1983]),
[final] ).
cnf(c_0_2009,negated_conjecture,
( ~ product(e_2,e_3,e_4)
| ~ product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_304,c_0_1511]),
[final] ).
cnf(c_0_2010,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_5,e_3,e_2)
| product(e_3,e_5,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1449,c_0_1948]),c_0_1984]),
[final] ).
cnf(c_0_2013,negated_conjecture,
( ~ product(e_2,e_3,e_4)
| product(e_4,e_3,e_2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1148,c_0_1972]),c_0_1988]),c_0_433]),
[final] ).
cnf(c_0_2014,negated_conjecture,
( cycle(e_3,e_0)
| cycle(e_3,e_2) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_1084,c_0_997]),c_0_998]),c_0_996]),
[final] ).
cnf(c_0_2015,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_3,e_1,e_4)
| product(e_4,e_5,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1211,c_0_1989]),c_0_1454]),
[final] ).
cnf(c_0_2016,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_2,e_3,e_4)
| product(e_1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1990,c_0_1760]),
[final] ).
cnf(c_0_2017,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_1991,c_0_1494]),
[final] ).
cnf(c_0_2019,negated_conjecture,
( ~ product(e_3,e_2,e_5)
| product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_90,c_0_1993]),
[final] ).
cnf(c_0_2020,negated_conjecture,
( ~ product(e_2,e_3,e_4)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_1994,c_0_1995]),
[final] ).
cnf(c_0_2022,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_5,e_1)
| product(e_1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1997,c_0_1998]),
[final] ).
cnf(c_0_2029,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_2001,c_0_89]),
[final] ).
cnf(c_0_2031,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_2004,c_0_1995]),
[final] ).
cnf(c_0_2032,negated_conjecture,
( ~ product(X1,e_3,e_5)
| product(e_5,X1,e_4)
| product(e_2,e_3,e_1)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_1701,c_0_2005]),
[final] ).
cnf(c_0_2033,negated_conjecture,
( product(e_5,e_1,e_4)
| product(e_1,e_3,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2006,c_0_2007]),c_0_1739]),
[final] ).
cnf(c_0_2034,negated_conjecture,
( ~ product(e_2,e_4,e_1)
| product(e_5,e_1,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2006,c_0_2008]),c_0_2009]),
[final] ).
cnf(c_0_2035,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_348,c_0_2010]),
[final] ).
cnf(c_0_2036,negated_conjecture,
( ~ product(e_3,e_5,e_2)
| product(e_4,e_3,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_260,c_0_1491]),c_0_1579]),
[final] ).
cnf(c_0_2037,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_5,e_3,e_2)
| product(e_3,e_1,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2011,c_0_1373]),c_0_2012]),
[final] ).
cnf(c_0_2038,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_4,e_3,e_2) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1172,c_0_1726]),c_0_1479]),c_0_2013]),
[final] ).
cnf(c_0_2039,negated_conjecture,
( ~ product(e_5,e_2,e_3)
| product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_1616,c_0_1944]),
[final] ).
cnf(c_0_2040,negated_conjecture,
( ~ greater(X1,e_3)
| ~ product(e_3,e_1,X1)
| cycle(e_3,e_2) ),
inference(spm,[status(thm)],[c_0_173,c_0_2014]),
[final] ).
cnf(c_0_2041,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_511,c_0_2015]),
[final] ).
cnf(c_0_2042,negated_conjecture,
( ~ product(e_1,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_337,c_0_2016]),
[final] ).
cnf(c_0_2043,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_3,e_2,e_5) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1172,c_0_2017]),c_0_1479]),c_0_1640]),
[final] ).
cnf(c_0_2044,negated_conjecture,
( ~ product(e_5,e_2,e_3)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_342,c_0_1546]),
[final] ).
cnf(c_0_2045,negated_conjecture,
( ~ product(e_3,e_2,e_5)
| product(e_3,e_4,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2018,c_0_2019]),c_0_2020]),
[final] ).
cnf(c_0_2046,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_3,e_5,e_4)
| product(e_4,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_2004,c_0_2010]),
[final] ).
cnf(c_0_2047,negated_conjecture,
( product(e_4,e_5,e_3)
| product(e_5,e_3,e_2)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_1916,c_0_2021]),
[final] ).
cnf(c_0_2048,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_3,e_5,e_4)
| product(e_4,e_5,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_986,c_0_2010]),c_0_1454]),
[final] ).
cnf(c_0_2049,negated_conjecture,
( ~ product(X1,e_5,e_3)
| product(e_3,X1,e_4)
| product(e_5,e_3,e_2)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_105,c_0_1963]),
[final] ).
cnf(c_0_2051,negated_conjecture,
( ~ product(X1,e_5,e_3)
| product(e_3,X1,e_4)
| product(e_5,e_3,e_2)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_105,c_0_1974]),
[final] ).
cnf(c_0_2061,negated_conjecture,
( ~ product(X1,e_3,e_5)
| product(e_5,X1,e_1)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_105,c_0_2031]),
[final] ).
cnf(c_0_2062,negated_conjecture,
( ~ product(X1,e_1,e_4)
| product(e_4,X1,e_2)
| product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_105,c_0_1664]),
[final] ).
cnf(c_0_2063,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_2032,c_0_2033]),c_0_2034]),
[final] ).
cnf(c_0_2065,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_2035,c_0_2036]),c_0_356]),
[final] ).
cnf(c_0_2066,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_348,c_0_2037]),
[final] ).
cnf(c_0_2067,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_4,e_3,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1958,c_0_2038]),c_0_2039]),
[final] ).
cnf(c_0_2068,negated_conjecture,
( ~ 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_822,c_0_2040]),c_0_153])]),
[final] ).
cnf(c_0_2069,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_2041,c_0_1756]),c_0_1673]),
[final] ).
cnf(c_0_2070,negated_conjecture,
( ~ product(e_3,e_2,e_5)
| product(e_3,e_5,e_2)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_2042,c_0_2019]),
[final] ).
cnf(c_0_2071,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_3,e_2,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1958,c_0_2043]),c_0_2044]),
[final] ).
cnf(c_0_2072,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_1789,c_0_2045]),
[final] ).
cnf(c_0_2074,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_3,e_1,e_4)
| product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_2004,c_0_2047]),
[final] ).
cnf(c_0_2076,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_3,e_1,e_4)
| product(e_4,e_5,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_986,c_0_2047]),c_0_1454]),
[final] ).
cnf(c_0_2077,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_5,e_3,e_2)
| product(e_3,e_1,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2049,c_0_2050]),c_0_1939]),
[final] ).
cnf(c_0_2078,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_5,e_3,e_2)
| product(e_3,e_1,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2051,c_0_2052]),c_0_1939]),
[final] ).
cnf(c_0_2084,negated_conjecture,
( ~ product(X1,e_1,e_3)
| product(e_3,X1,e_5)
| product(e_5,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_105,c_0_2033]),
[final] ).
cnf(c_0_2088,negated_conjecture,
( ~ product(e_4,e_5,e_3)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1297,c_0_1894]),c_0_1476]),
[final] ).
cnf(c_0_2089,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_2062,c_0_2063]),
[final] ).
cnf(c_0_2092,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_2066,c_0_2067]),
[final] ).
cnf(c_0_2093,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_2068,c_0_2069]),c_0_104])]),
[final] ).
cnf(c_0_2094,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_2070,c_0_2071]),
[final] ).
cnf(c_0_2095,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_2,e_5,e_1)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_2072,c_0_2071]),
[final] ).
cnf(c_0_2096,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_3,e_5,e_4)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_2073,c_0_2074]),
[final] ).
cnf(c_0_2097,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_3,e_5,e_4)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_2075,c_0_2076]),
[final] ).
cnf(c_0_2098,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_2004,c_0_2077]),
[final] ).
cnf(c_0_2099,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_2004,c_0_2078]),
[final] ).
cnf(c_0_2100,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_3,e_1,e_4)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_2041,c_0_1797]),
[final] ).
cnf(c_0_2104,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_3,e_2,e_4)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_946,c_0_1601]),
[final] ).
cnf(c_0_2105,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_2,e_3,e_5)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_946,c_0_1745]),
[final] ).
cnf(c_0_2112,negated_conjecture,
( product(e_5,e_4,e_3)
| product(e_1,e_2,e_4) ),
inference(sr,[status(thm)],[c_0_2087,c_0_1854]),
[final] ).
cnf(c_0_2113,negated_conjecture,
( ~ product(e_1,e_4,e_3)
| product(e_1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_304,c_0_1874]),
[final] ).
cnf(c_0_2138,negated_conjecture,
( product(e_5,e_1,e_4)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2006,c_0_2110]),c_0_1739]),
[final] ).
cnf(c_0_2139,negated_conjecture,
( ~ product(e_3,e_4,e_1)
| product(e_2,e_5,e_1)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_304,c_0_1998]),
[final] ).
cnf(c_0_2140,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_1,e_2,e_4) ),
inference(sr,[status(thm)],[c_0_1699,c_0_1854]),
[final] ).
cnf(c_0_2144,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_2,e_3,e_1)
| product(e_1,e_4,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_259,c_0_2114]),c_0_1486]),
[final] ).
cnf(c_0_2149,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_304,c_0_1736]),
[final] ).
cnf(c_0_2151,negated_conjecture,
( ~ product(e_5,e_2,e_3)
| ~ product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_278,c_0_1944]),
[final] ).
cnf(c_0_2155,negated_conjecture,
( ~ product(X1,e_1,e_2)
| product(e_2,X1,e_4)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_105,c_0_1909]),
[final] ).
cnf(c_0_2162,negated_conjecture,
( ~ product(e_3,e_1,e_2)
| product(e_3,e_4,e_5)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_333,c_0_1827]),
[final] ).
cnf(c_0_2164,negated_conjecture,
( ~ product(X1,e_4,e_5)
| product(e_5,X1,e_2)
| product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_105,c_0_2038]),
[final] ).
cnf(c_0_2178,negated_conjecture,
( product(e_5,e_3,e_2)
| product(e_5,e_3,e_4)
| product(e_5,e_2,e_3) ),
inference(sr,[status(thm)],[c_0_2137,c_0_1883]),
[final] ).
cnf(c_0_2179,negated_conjecture,
( ~ product(X1,e_5,e_1)
| product(e_1,X1,e_4)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_105,c_0_2138]),
[final] ).
cnf(c_0_2180,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_5,e_1)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_2139,c_0_1776]),
[final] ).
cnf(c_0_2181,negated_conjecture,
( ~ product(X1,e_1,e_4)
| product(e_4,X1,e_2)
| product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_105,c_0_2140]),
[final] ).
cnf(c_0_2184,negated_conjecture,
~ product(e_5,e_5,e_2),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2143,c_0_2144]),c_0_348]),c_0_2145]),
[final] ).
cnf(c_0_2185,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_2146,c_0_683]),c_0_608])]),
[final] ).
cnf(c_0_2186,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_2147,c_0_683]),c_0_608])]),
[final] ).
cnf(c_0_2187,negated_conjecture,
( product(e_5,e_4,e_2)
| product(e_4,e_5,e_2)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_1942,c_0_2063]),
[final] ).
cnf(c_0_2188,negated_conjecture,
( cycle(e_2,e_3)
| 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_2148,c_0_683]),c_0_608])]),
[final] ).
cnf(c_0_2189,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_1,e_2,e_4) ),
inference(sr,[status(thm)],[c_0_892,c_0_1533]),
[final] ).
cnf(c_0_2190,negated_conjecture,
( ~ product(e_4,e_2,e_3)
| product(e_3,e_5,e_1)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_511,c_0_1890]),
[final] ).
cnf(c_0_2191,negated_conjecture,
( ~ product(e_3,e_2,e_5)
| product(e_3,e_5,e_2)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_2149,c_0_2045]),
[final] ).
cnf(c_0_2192,negated_conjecture,
( ~ product(e_2,e_4,e_1)
| product(e_3,e_2,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_393,c_0_1575]),c_0_304]),
[final] ).
cnf(c_0_2196,negated_conjecture,
( ~ product(e_5,e_2,e_3)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_2151,c_0_1995]),
[final] ).
cnf(c_0_2198,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_2153,c_0_683]),c_0_608])]),
[final] ).
cnf(c_0_2199,negated_conjecture,
( cycle(e_2,e_3)
| 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_2154,c_0_683]),c_0_608])]),
[final] ).
cnf(c_0_2200,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_1,e_3,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2155,c_0_2156]),c_0_1739]),
[final] ).
cnf(c_0_2201,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_1449,c_0_1813]),c_0_1079]),
[final] ).
cnf(c_0_2202,negated_conjecture,
( cycle(e_2,e_3)
| 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_2157,c_0_683]),c_0_608])]),
[final] ).
cnf(c_0_2203,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_2158,c_0_683]),c_0_608])]),
[final] ).
cnf(c_0_2204,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_2159,c_0_683]),c_0_608])]),
[final] ).
cnf(c_0_2205,negated_conjecture,
( cycle(e_2,e_3)
| 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_2160,c_0_683]),c_0_608])]),
[final] ).
cnf(c_0_2207,negated_conjecture,
( ~ product(e_3,e_5,e_1)
| product(e_3,e_4,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2162,c_0_1618]),c_0_393]),
[final] ).
cnf(c_0_2208,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_4,e_5,e_1)
| product(e_2,e_3,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1843,c_0_1974]),c_0_1844]),
[final] ).
cnf(c_0_2209,negated_conjecture,
( ~ product(e_2,e_3,e_4)
| ~ product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_413,c_0_1517]),
[final] ).
cnf(c_0_2211,negated_conjecture,
( product(e_4,e_3,e_2)
| product(e_5,e_3,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2164,c_0_1645]),c_0_1281]),
[final] ).
cnf(c_0_2212,negated_conjecture,
( cycle(e_2,e_3)
| 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_2165,c_0_683]),c_0_608])]),
[final] ).
cnf(c_0_2213,negated_conjecture,
( cycle(e_2,e_3)
| 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_2166,c_0_683]),c_0_608])]),
[final] ).
cnf(c_0_2215,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_2168,c_0_683]),c_0_608])]),
[final] ).
cnf(c_0_2216,negated_conjecture,
( ~ product(e_3,e_5,e_2)
| product(e_5,e_4,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_1445]),c_0_1673]),
[final] ).
cnf(c_0_2219,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_2170,c_0_683]),c_0_608])]),
[final] ).
cnf(c_0_2220,negated_conjecture,
( cycle(e_2,e_3)
| 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_2171,c_0_683]),c_0_608])]),
[final] ).
cnf(c_0_2223,plain,
( ~ next(e_1,X1)
| ~ next(X2,e_4)
| ~ cycle(X1,X2)
| cycle(e_1,e_4)
| cycle(e_1,e_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_166]),c_0_135]),c_0_136]),
[final] ).
cnf(c_0_2226,negated_conjecture,
( ~ product(e_2,e_3,e_1)
| ~ product(e_5,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_342,c_0_1863]),
[final] ).
cnf(c_0_2227,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_5,e_2,e_3)
| product(e_5,e_3,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1449,c_0_2178]),c_0_1984]),
[final] ).
cnf(c_0_2228,negated_conjecture,
( ~ product(X1,e_3,e_2)
| product(e_2,X1,e_5)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_105,c_0_2071]),
[final] ).
cnf(c_0_2230,negated_conjecture,
( ~ product(X1,e_1,e_3)
| product(e_3,X1,e_5)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_105,c_0_1430]),
[final] ).
cnf(c_0_2232,negated_conjecture,
( ~ 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_107,c_0_2138]),
[final] ).
cnf(c_0_2234,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_4,e_5,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2181,c_0_2063]),c_0_1891]),
[final] ).
cnf(c_0_2235,negated_conjecture,
( ~ product(e_2,e_4,e_1)
| product(e_5,e_4,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2182,c_0_2034]),c_0_393]),
[final] ).
cnf(c_0_2237,negated_conjecture,
product(e_5,e_5,e_5),
inference(sr,[status(thm)],[c_0_1821,c_0_2184]),
[final] ).
cnf(c_0_2238,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_205,c_0_2185]),
[final] ).
cnf(c_0_2239,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_205,c_0_2186]),
[final] ).
cnf(c_0_2240,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_278,c_0_2187]),c_0_1824]),
[final] ).
cnf(c_0_2241,negated_conjecture,
( ~ next(e_2,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_205,c_0_2188]),
[final] ).
cnf(c_0_2243,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_3,e_5,e_1)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_2190,c_0_1797]),
[final] ).
cnf(c_0_2244,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_2191,c_0_2071]),
[final] ).
cnf(c_0_2246,negated_conjecture,
( ~ product(e_2,e_4,e_1)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_1448,c_0_2192]),
[final] ).
cnf(c_0_2247,negated_conjecture,
( ~ product(e_2,e_4,e_1)
| ~ product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_242,c_0_2008]),
[final] ).
cnf(c_0_2248,negated_conjecture,
( ~ product(X1,e_5,e_4)
| product(e_4,X1,e_3)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_105,c_0_1546]),
[final] ).
cnf(c_0_2252,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_2195,c_0_1941]),c_0_2196]),
[final] ).
cnf(c_0_2254,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_205,c_0_2198]),
[final] ).
cnf(c_0_2255,negated_conjecture,
( ~ next(e_2,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_205,c_0_2199]),
[final] ).
cnf(c_0_2257,plain,
( ~ product(e_4,e_2,e_1)
| product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_337,c_0_1599]),
[final] ).
cnf(c_0_2258,negated_conjecture,
( ~ product(e_2,e_3,e_1)
| ~ product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_511,c_0_2201]),
[final] ).
cnf(c_0_2259,negated_conjecture,
( ~ product(e_2,e_3,e_5)
| ~ product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_348,c_0_1984]),
[final] ).
cnf(c_0_2260,negated_conjecture,
( ~ next(e_2,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_205,c_0_2202]),
[final] ).
cnf(c_0_2261,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_205,c_0_2203]),
[final] ).
cnf(c_0_2262,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_205,c_0_2204]),
[final] ).
cnf(c_0_2263,negated_conjecture,
( ~ next(e_2,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_205,c_0_2205]),
[final] ).
cnf(c_0_2266,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_2207,c_0_1736]),
[final] ).
cnf(c_0_2267,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_417,c_0_2208]),c_0_2209]),
[final] ).
cnf(c_0_2269,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_1844,c_0_2211]),
[final] ).
cnf(c_0_2270,negated_conjecture,
( ~ next(e_2,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_205,c_0_2212]),
[final] ).
cnf(c_0_2271,negated_conjecture,
( ~ next(e_2,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_205,c_0_2213]),
[final] ).
cnf(c_0_2275,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_205,c_0_2215]),
[final] ).
cnf(c_0_2276,negated_conjecture,
( ~ product(e_3,e_5,e_2)
| product(e_5,e_3,e_2)
| product(e_5,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1427,c_0_2216]),
[final] ).
cnf(c_0_2278,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_4,e_5,e_3)
| product(e_2,e_3,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_304,c_0_2217]),c_0_2218]),
[final] ).
cnf(c_0_2279,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_205,c_0_2219]),
[final] ).
cnf(c_0_2280,negated_conjecture,
( ~ next(e_2,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_205,c_0_2220]),
[final] ).
cnf(c_0_2284,plain,
( ~ next(e_1,X1)
| ~ next(X2,e_2)
| ~ cycle(X1,X2)
| cycle(e_1,e_2)
| cycle(e_1,e_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_166]),c_0_74]),c_0_75]),
[final] ).
cnf(c_0_2286,plain,
( ~ next(e_1,X1)
| ~ cycle(X1,e_3)
| cycle(e_1,e_0)
| cycle(e_1,e_4) ),
inference(spm,[status(thm)],[c_0_2223,c_0_89]),
[final] ).
cnf(c_0_2288,plain,
( ~ next(e_5,X1)
| ~ greater(X4,X2)
| ~ greater(e_5,X3)
| ~ cycle(X3,X4)
| ~ cycle(X1,X2) ),
inference(spm,[status(thm)],[c_0_93,c_0_140]),
[final] ).
cnf(c_0_2289,negated_conjecture,
( ~ product(e_5,e_2,e_3)
| product(e_4,e_5,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2151,c_0_1799]),c_0_2226]),
[final] ).
cnf(c_0_2290,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_5,e_2,e_3)
| product(e_4,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_2004,c_0_2227]),
[final] ).
cnf(c_0_2291,negated_conjecture,
( ~ product(e_3,e_2,e_5)
| product(e_1,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_782,c_0_2045]),
[final] ).
cnf(c_0_2292,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_5,e_2,e_3)
| product(e_4,e_5,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2228,c_0_2227]),c_0_1454]),
[final] ).
cnf(c_0_2294,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_4,e_5,e_3)
| product(e_5,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2230,c_0_2231]),c_0_1721]),
[final] ).
cnf(c_0_2296,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_5,e_4,e_3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_348,c_0_2233]),c_0_1475])]),
[final] ).
cnf(c_0_2297,negated_conjecture,
( ~ product(X1,e_1,e_2)
| product(e_2,X1,e_4)
| product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_105,c_0_2234]),
[final] ).
cnf(c_0_2299,negated_conjecture,
( product(e_5,e_4,e_3)
| product(e_3,e_5,e_4) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1967,c_0_2092]),c_0_1585]),c_0_2235]),
[final] ).
cnf(c_0_2301,negated_conjecture,
( product(e_5,e_4,e_3)
| product(e_5,e_2,e_3) ),
inference(sr,[status(thm)],[c_0_1903,c_0_1928]),
[final] ).
cnf(c_0_2302,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_348,c_0_2047]),
[final] ).
cnf(c_0_2303,negated_conjecture,
( ~ product(e_4,e_3,e_2)
| product(e_4,e_5,e_3)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_348,c_0_1836]),
[final] ).
cnf(c_0_2304,negated_conjecture,
( ~ product(e_4,e_3,e_2)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_348,c_0_1995]),
[final] ).
cnf(c_0_2305,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_2238,c_0_214]),
[final] ).
cnf(c_0_2306,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_2239,c_0_214]),
[final] ).
cnf(c_0_2307,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_5,e_2,e_3)
| product(e_4,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_2240,c_0_2227]),
[final] ).
cnf(c_0_2308,negated_conjecture,
( ~ product(e_5,e_2,e_3)
| product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1743,c_0_1944]),c_0_1257]),
[final] ).
cnf(c_0_2309,negated_conjecture,
( ~ next(e_2,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_2241,c_0_214]),
[final] ).
cnf(c_0_2310,negated_conjecture,
( ~ product(e_5,e_2,e_3)
| product(e_2,e_5,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1759,c_0_1944]),c_0_1257]),
[final] ).
cnf(c_0_2312,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_304,c_0_2243]),
[final] ).
cnf(c_0_2313,negated_conjecture,
( ~ product(X1,e_3,e_5)
| product(e_5,X1,e_4)
| product(e_2,e_4,e_1)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_105,c_0_2244]),
[final] ).
cnf(c_0_2315,negated_conjecture,
( ~ product(X1,e_5,e_1)
| product(e_1,X1,e_4)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_105,c_0_2063]),
[final] ).
cnf(c_0_2317,negated_conjecture,
( ~ product(e_3,e_2,e_4)
| product(e_3,e_5,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1719,c_0_1744]),c_0_1579]),
[final] ).
cnf(c_0_2318,negated_conjecture,
( ~ product(e_2,e_3,e_1)
| ~ product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_1579,c_0_1305]),
[final] ).
cnf(c_0_2319,negated_conjecture,
( ~ product(e_2,e_4,e_1)
| product(e_3,e_5,e_1) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1779,c_0_2246]),c_0_1515]),c_0_2247]),
[final] ).
cnf(c_0_2320,negated_conjecture,
( ~ product(X1,e_2,e_5)
| product(e_5,X1,e_1)
| product(e_2,e_3,e_1)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_105,c_0_2005]),
[final] ).
cnf(c_0_2323,negated_conjecture,
( product(e_5,e_4,e_3)
| product(e_2,e_4,e_5) ),
inference(sr,[status(thm)],[c_0_2251,c_0_1392]),
[final] ).
cnf(c_0_2325,negated_conjecture,
( ~ product(X1,e_5,e_1)
| product(e_1,X1,e_4)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_105,c_0_2252]),
[final] ).
cnf(c_0_2329,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_2254,c_0_214]),
[final] ).
cnf(c_0_2330,negated_conjecture,
( ~ next(e_2,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_2255,c_0_214]),
[final] ).
cnf(c_0_2332,negated_conjecture,
( ~ product(e_4,e_2,e_1)
| product(e_4,e_5,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1868,c_0_2257]),c_0_2258]),
[final] ).
cnf(c_0_2333,negated_conjecture,
( ~ product(e_4,e_2,e_1)
| ~ product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_2259,c_0_2257]),
[final] ).
cnf(c_0_2334,negated_conjecture,
( ~ next(e_2,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_2260,c_0_214]),
[final] ).
cnf(c_0_2335,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_2261,c_0_214]),
[final] ).
cnf(c_0_2336,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_2262,c_0_214]),
[final] ).
cnf(c_0_2338,negated_conjecture,
( ~ next(e_2,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_2263,c_0_214]),
[final] ).
cnf(c_0_2340,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_511,c_0_1812]),
[final] ).
cnf(c_0_2342,negated_conjecture,
( product(e_4,e_5,e_3)
| product(e_3,e_2,e_4)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_1734,c_0_1550]),
[final] ).
cnf(c_0_2344,negated_conjecture,
( product(e_4,e_5,e_3)
| product(e_3,e_5,e_2)
| product(e_3,e_4,e_5) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2265,c_0_2266]),c_0_1662]),c_0_2267]),
[final] ).
cnf(c_0_2346,negated_conjecture,
( ~ product(X1,e_4,e_3)
| product(e_3,X1,e_2)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_105,c_0_2269]),
[final] ).
cnf(c_0_2347,negated_conjecture,
( ~ next(e_2,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_2270,c_0_214]),
[final] ).
cnf(c_0_2348,negated_conjecture,
( ~ next(e_2,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_2271,c_0_214]),
[final] ).
cnf(c_0_2349,negated_conjecture,
( ~ product(e_4,e_5,e_2)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_258,c_0_1817]),
[final] ).
cnf(c_0_2350,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_1,e_5,e_2)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_1516,c_0_2015]),
[final] ).
cnf(c_0_2356,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_2275,c_0_214]),
[final] ).
cnf(c_0_2358,negated_conjecture,
( product(e_5,e_3,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_2276,c_0_1562]),c_0_2277]),
[final] ).
cnf(c_0_2359,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_1,e_5,e_2)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_1516,c_0_2278]),
[final] ).
cnf(c_0_2361,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_2279,c_0_214]),
[final] ).
cnf(c_0_2362,negated_conjecture,
( ~ 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_93,c_0_2014]),
[final] ).
cnf(c_0_2364,plain,
( ~ next(X1,e_4)
| ~ greater(X2,e_0)
| ~ cycle(X1,X2)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_123,c_0_158]),
[final] ).
cnf(c_0_2365,negated_conjecture,
( ~ next(e_2,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_2280,c_0_214]),
[final] ).
cnf(c_0_2367,plain,
( ~ next(X1,e_4)
| ~ greater(X2,e_0)
| ~ cycle(X1,X2)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_124,c_0_158]),
[final] ).
cnf(c_0_2369,plain,
( ~ cycle(X1,X3)
| ~ cycle(X1,X2)
| equalish(X2,X3) ),
c_0_2282,
[final] ).
cnf(c_0_2371,plain,
( ~ next(e_1,X1)
| ~ cycle(X1,e_1)
| cycle(e_1,e_0)
| cycle(e_1,e_2) ),
inference(spm,[status(thm)],[c_0_2284,c_0_81]),
[final] ).
cnf(c_0_2372,negated_conjecture,
( cycle(e_2,e_3)
| product(e_3,e_1,e_2) ),
inference(sr,[status(thm)],[c_0_2285,c_0_990]),
[final] ).
cnf(c_0_2374,plain,
( ~ next(e_5,X2)
| ~ greater(X1,X3)
| ~ cycle(X2,X3)
| ~ cycle(e_2,X1) ),
inference(spm,[status(thm)],[c_0_2288,c_0_633]),
[final] ).
cnf(c_0_2376,negated_conjecture,
( product(e_4,e_5,e_3)
| product(e_4,e_5,e_1)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_2289,c_0_2290]),
[final] ).
cnf(c_0_2377,negated_conjecture,
( ~ product(X1,e_1,e_3)
| ~ product(e_3,e_2,e_5)
| product(e_3,X1,e_5) ),
inference(spm,[status(thm)],[c_0_105,c_0_2291]),
[final] ).
cnf(c_0_2378,negated_conjecture,
( product(e_4,e_5,e_3)
| product(e_4,e_5,e_1)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_2289,c_0_2292]),
[final] ).
cnf(c_0_2379,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_1,e_3,e_5) ),
inference(sr,[status(thm)],[c_0_2293,c_0_1683]),
[final] ).
cnf(c_0_2380,negated_conjecture,
( ~ product(e_2,e_3,e_1)
| ~ product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_258,c_0_1641]),
[final] ).
cnf(c_0_2381,negated_conjecture,
( ~ product(e_3,e_1,e_2)
| product(e_4,e_5,e_3)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_333,c_0_2294]),
[final] ).
cnf(c_0_2382,negated_conjecture,
( ~ product(e_3,e_5,e_4)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_242,c_0_985]),
[final] ).
cnf(c_0_2383,negated_conjecture,
( ~ product(e_2,e_3,e_5)
| ~ product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_1542,c_0_1794]),
[final] ).
cnf(c_0_2384,negated_conjecture,
( ~ 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_333,c_0_2138]),
[final] ).
cnf(c_0_2385,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_5,e_3,e_2)
| product(e_5,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_2295]),c_0_2296]),
[final] ).
cnf(c_0_2386,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_1,e_3,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2297,c_0_2298]),c_0_1739]),
[final] ).
cnf(c_0_2387,negated_conjecture,
( ~ product(X1,e_1,e_4)
| product(e_4,X1,e_2)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_1901,c_0_2299]),
[final] ).
cnf(c_0_2388,negated_conjecture,
( ~ product(X1,e_1,e_4)
| product(e_4,X1,e_2)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1901,c_0_2296]),
[final] ).
cnf(c_0_2391,negated_conjecture,
( ~ product(X1,e_1,e_4)
| product(e_4,X1,e_2)
| product(e_5,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_1901,c_0_2301]),
[final] ).
cnf(c_0_2392,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_3,e_1,e_4)
| product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_2240,c_0_2047]),
[final] ).
cnf(c_0_2393,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_4,e_5,e_3)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_2240,c_0_1836]),
[final] ).
cnf(c_0_2394,negated_conjecture,
( product(e_4,e_5,e_3)
| product(e_3,e_1,e_4)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_2302,c_0_2067]),
[final] ).
cnf(c_0_2395,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_4,e_5,e_3)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_2303,c_0_2067]),
[final] ).
cnf(c_0_2396,negated_conjecture,
( ~ product(e_2,e_5,e_1)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1297,c_0_1780]),c_0_1476]),
[final] ).
cnf(c_0_2397,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_2304,c_0_2067]),
[final] ).
cnf(c_0_2398,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_2305,c_0_2014]),c_0_153])]),
[final] ).
cnf(c_0_2399,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_2306,c_0_2014]),c_0_153])]),
[final] ).
cnf(c_0_2400,negated_conjecture,
( product(e_4,e_5,e_3)
| product(e_4,e_5,e_1)
| product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_2289,c_0_2307]),
[final] ).
cnf(c_0_2401,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_4,e_5,e_1)
| product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_2308,c_0_2307]),
[final] ).
cnf(c_0_2402,negated_conjecture,
( cycle(e_3,e_2)
| 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_2309,c_0_2014]),c_0_153])]),
[final] ).
cnf(c_0_2403,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_4,e_5,e_1)
| product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_2310,c_0_2307]),
[final] ).
cnf(c_0_2404,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_2240,c_0_2010]),
[final] ).
cnf(c_0_2405,negated_conjecture,
( product(e_1,e_5,e_2)
| product(e_3,e_5,e_1)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_1940,c_0_2074]),
[final] ).
cnf(c_0_2406,negated_conjecture,
( product(e_1,e_5,e_2)
| product(e_3,e_2,e_4)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_2311,c_0_2076]),
[final] ).
cnf(c_0_2407,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_4,e_5,e_1)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_2308,c_0_2290]),
[final] ).
cnf(c_0_2408,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_4,e_5,e_1)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_2310,c_0_2290]),
[final] ).
cnf(c_0_2409,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_3,e_5,e_4)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_2035,c_0_2067]),
[final] ).
cnf(c_0_2410,negated_conjecture,
( ~ product(e_3,e_2,e_5)
| product(e_2,e_3,e_1)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_2312,c_0_2045]),
[final] ).
cnf(c_0_2411,negated_conjecture,
( ~ product(X1,e_4,e_5)
| ~ product(e_3,e_5,e_2)
| product(e_5,X1,e_1) ),
inference(spm,[status(thm)],[c_0_105,c_0_2065]),
[final] ).
cnf(c_0_2412,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_5,e_1,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2313,c_0_2033]),c_0_2034]),
[final] ).
cnf(c_0_2413,negated_conjecture,
( ~ product(e_1,e_4,e_3)
| ~ product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_258,c_0_2113]),
[final] ).
cnf(c_0_2414,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_1980,c_0_1101]),
[final] ).
cnf(c_0_2417,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_1,e_3,e_4)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_2315,c_0_2243]),
[final] ).
cnf(c_0_2419,negated_conjecture,
( ~ product(e_3,e_2,e_4)
| product(e_1,e_3,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2315,c_0_2317]),c_0_2318]),
[final] ).
cnf(c_0_2420,negated_conjecture,
( ~ product(e_2,e_4,e_1)
| product(e_1,e_3,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2315,c_0_2319]),c_0_278]),
[final] ).
cnf(c_0_2421,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_3,e_1)
| product(e_5,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_2320,c_0_2071]),
[final] ).
cnf(c_0_2422,negated_conjecture,
( product(e_1,e_5,e_3)
| product(e_3,e_2,e_5) ),
inference(sr,[status(thm)],[c_0_2321,c_0_1854]),
[final] ).
cnf(c_0_2423,negated_conjecture,
( product(e_5,e_4,e_3)
| product(e_4,e_3,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_719,c_0_2322]),c_0_2323]),
[final] ).
cnf(c_0_2425,negated_conjecture,
( ~ product(X1,e_5,e_3)
| product(e_3,X1,e_4)
| product(e_5,e_2,e_3)
| product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_105,c_0_2178]),
[final] ).
cnf(c_0_2426,negated_conjecture,
( product(e_5,e_2,e_3)
| product(e_1,e_5,e_3) ),
inference(sr,[status(thm)],[c_0_2314,c_0_1928]),
[final] ).
cnf(c_0_2428,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_5,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_2182,c_0_2252]),
[final] ).
cnf(c_0_2429,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_2325,c_0_2031]),
[final] ).
cnf(c_0_2430,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_5,e_3,e_2) ),
inference(sr,[status(thm)],[c_0_1938,c_0_1913]),
[final] ).
cnf(c_0_2433,negated_conjecture,
( ~ product(e_5,e_3,e_2)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_278,c_0_1494]),
[final] ).
cnf(c_0_2436,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_1,e_5,e_2)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_2328,c_0_1933]),
[final] ).
cnf(c_0_2437,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_2329,c_0_2014]),c_0_153])]),
[final] ).
cnf(c_0_2438,negated_conjecture,
( cycle(e_3,e_2)
| 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_2330,c_0_2014]),c_0_153])]),
[final] ).
cnf(c_0_2440,negated_conjecture,
( ~ product(e_4,e_2,e_1)
| product(e_5,e_4,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1952,c_0_2332]),c_0_2333]),
[final] ).
cnf(c_0_2441,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_3,e_5,e_4)
| product(e_4,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1844,c_0_2010]),
[final] ).
cnf(c_0_2442,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_511,c_0_1880]),
[final] ).
cnf(c_0_2443,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_3,e_5,e_4)
| product(e_4,e_5,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1211,c_0_2010]),c_0_1454]),
[final] ).
cnf(c_0_2444,negated_conjecture,
( cycle(e_3,e_2)
| 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_2334,c_0_2014]),c_0_153])]),
[final] ).
cnf(c_0_2445,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_2335,c_0_2014]),c_0_153])]),
[final] ).
cnf(c_0_2446,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_2336,c_0_2014]),c_0_153])]),
[final] ).
cnf(c_0_2448,negated_conjecture,
( cycle(e_3,e_2)
| 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_2338,c_0_2014]),c_0_153])]),
[final] ).
cnf(c_0_2449,negated_conjecture,
( product(e_5,e_3,e_2)
| product(e_5,e_3,e_4)
| product(e_1,e_5,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_258,c_0_2339]),c_0_1753]),
[final] ).
cnf(c_0_2450,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_2,e_3,e_1)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_2340,c_0_1797]),
[final] ).
cnf(c_0_2451,negated_conjecture,
( product(e_1,e_5,e_2)
| product(e_3,e_2,e_4)
| product(e_3,e_5,e_2) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2341,c_0_2342]),c_0_1665]),c_0_1533]),c_0_1683]),
[final] ).
cnf(c_0_2452,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_1,e_5,e_2)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_2328,c_0_1880]),
[final] ).
cnf(c_0_2453,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_5,e_4,e_2)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_2343,c_0_1880]),
[final] ).
cnf(c_0_2454,negated_conjecture,
( product(e_1,e_5,e_2)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_1) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2341,c_0_1812]),c_0_1665]),c_0_1683]),c_0_1533]),
[final] ).
cnf(c_0_2455,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_1,e_5,e_2)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_2328,c_0_2344]),
[final] ).
cnf(c_0_2456,negated_conjecture,
( ~ product(e_1,e_2,e_5)
| product(e_1,e_5,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1731,c_0_1825]),c_0_259]),
[final] ).
cnf(c_0_2457,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_5,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1139,c_0_2345]),c_0_424]),
[final] ).
cnf(c_0_2458,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_3,e_5,e_2)
| product(e_5,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_2346,c_0_1455]),
[final] ).
cnf(c_0_2459,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_4,e_5,e_1)
| product(e_2,e_5,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1843,c_0_1963]),c_0_1844]),
[final] ).
cnf(c_0_2460,negated_conjecture,
( cycle(e_3,e_2)
| 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_2347,c_0_2014]),c_0_153])]),
[final] ).
cnf(c_0_2461,negated_conjecture,
( cycle(e_3,e_2)
| 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_2348,c_0_2014]),c_0_153])]),
[final] ).
cnf(c_0_2462,negated_conjecture,
( ~ product(e_2,e_4,e_5)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_393,c_0_1526]),
[final] ).
cnf(c_0_2463,plain,
( product(e_2,e_5,e_4)
| product(e_4,e_5,e_3) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1636,c_0_1475])]),c_0_1662]),c_0_2349]),
[final] ).
cnf(c_0_2464,negated_conjecture,
( ~ product(e_1,e_4,e_2)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_304,c_0_1817]),
[final] ).
cnf(c_0_2471,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_2356,c_0_2014]),c_0_153])]),
[final] ).
cnf(c_0_2472,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_2,e_5,e_1)
| product(e_4,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_2357,c_0_2358]),
[final] ).
cnf(c_0_2474,negated_conjecture,
( ~ product(e_3,e_5,e_1)
| product(e_2,e_3,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_260,c_0_1777]),c_0_393]),
[final] ).
cnf(c_0_2478,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_2361,c_0_2014]),c_0_153])]),
[final] ).
cnf(c_0_2479,plain,
( ~ next(e_5,X2)
| ~ greater(X1,X3)
| ~ cycle(X2,X3)
| ~ cycle(e_3,X1) ),
inference(spm,[status(thm)],[c_0_2288,c_0_186]),
[final] ).
cnf(c_0_2480,negated_conjecture,
( cycle(e_3,e_2)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5) ),
inference(sr,[status(thm)],[c_0_2225,c_0_842]),
[final] ).
cnf(c_0_2481,negated_conjecture,
( cycle(e_2,e_3)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5) ),
inference(sr,[status(thm)],[c_0_2287,c_0_842]),
[final] ).
cnf(c_0_2482,negated_conjecture,
( ~ 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_2362,c_0_212]),
[final] ).
cnf(c_0_2486,negated_conjecture,
( cycle(e_3,e_2)
| 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_2365,c_0_2014]),c_0_153])]),
[final] ).
cnf(c_0_2489,plain,
( ~ next(e_5,X2)
| ~ greater(X1,X3)
| ~ cycle(X2,X3)
| ~ cycle(e_1,X1) ),
inference(spm,[status(thm)],[c_0_2288,c_0_194]),
[final] ).
cnf(c_0_2491,plain,
~ equalish(e_5,e_1),
c_0_2368,
[final] ).
cnf(c_0_2492,plain,
( ~ cycle(X1,e_1)
| ~ cycle(X1,e_5) ),
inference(spm,[status(thm)],[c_0_111,c_0_2369]),
[final] ).
cnf(c_0_2493,plain,
( ~ cycle(X1,e_2)
| ~ cycle(X1,e_5) ),
inference(spm,[status(thm)],[c_0_112,c_0_2369]),
[final] ).
cnf(c_0_2494,plain,
( ~ cycle(X1,e_3)
| ~ cycle(X1,e_5) ),
inference(spm,[status(thm)],[c_0_114,c_0_2369]),
[final] ).
cnf(c_0_2495,plain,
( ~ cycle(X1,e_4)
| ~ cycle(X1,e_5) ),
inference(spm,[status(thm)],[c_0_115,c_0_2369]),
[final] ).
cnf(c_0_2497,plain,
( ~ next(e_5,X2)
| ~ greater(X1,X3)
| ~ cycle(X2,X3)
| ~ cycle(e_4,X1) ),
inference(spm,[status(thm)],[c_0_2288,c_0_801]),
[final] ).
cnf(c_0_2499,plain,
( cycle(e_1,e_2)
| cycle(e_1,e_0)
| 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_2371,c_0_563]),c_0_81])]),
[final] ).
cnf(c_0_2504,negated_conjecture,
( cycle(e_1,e_4)
| cycle(e_1,e_0)
| 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_2286,c_0_2185]),c_0_81])]),
[final] ).
cnf(c_0_2505,negated_conjecture,
( cycle(e_1,e_4)
| cycle(e_1,e_0)
| 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_2286,c_0_2186]),c_0_81])]),
[final] ).
cnf(c_0_2506,negated_conjecture,
( cycle(e_1,e_4)
| cycle(e_1,e_0)
| 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_2286,c_0_2188]),c_0_81])]),
[final] ).
cnf(c_0_2507,negated_conjecture,
( cycle(e_1,e_4)
| cycle(e_1,e_0)
| 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_2286,c_0_2198]),c_0_81])]),
[final] ).
cnf(c_0_2508,negated_conjecture,
( cycle(e_1,e_4)
| cycle(e_1,e_0)
| 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_2286,c_0_2199]),c_0_81])]),
[final] ).
cnf(c_0_2509,negated_conjecture,
( cycle(e_1,e_4)
| cycle(e_1,e_0)
| 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_2286,c_0_2202]),c_0_81])]),
[final] ).
cnf(c_0_2510,negated_conjecture,
( cycle(e_1,e_4)
| cycle(e_1,e_0)
| 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_2286,c_0_2203]),c_0_81])]),
[final] ).
cnf(c_0_2511,negated_conjecture,
( cycle(e_1,e_4)
| cycle(e_1,e_0)
| 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_2286,c_0_2204]),c_0_81])]),
[final] ).
cnf(c_0_2512,negated_conjecture,
( cycle(e_1,e_4)
| cycle(e_1,e_0)
| 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_2286,c_0_2205]),c_0_81])]),
[final] ).
cnf(c_0_2513,negated_conjecture,
( cycle(e_1,e_4)
| cycle(e_1,e_0)
| 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_2286,c_0_2212]),c_0_81])]),
[final] ).
cnf(c_0_2514,negated_conjecture,
( cycle(e_1,e_4)
| cycle(e_1,e_0)
| 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_2286,c_0_2213]),c_0_81])]),
[final] ).
cnf(c_0_2515,negated_conjecture,
( cycle(e_1,e_4)
| cycle(e_1,e_0)
| 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_2286,c_0_2215]),c_0_81])]),
[final] ).
cnf(c_0_2516,negated_conjecture,
( cycle(e_1,e_4)
| cycle(e_1,e_0)
| 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_2286,c_0_2219]),c_0_81])]),
[final] ).
cnf(c_0_2517,negated_conjecture,
( cycle(e_1,e_4)
| cycle(e_1,e_0)
| 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_2286,c_0_2220]),c_0_81])]),
[final] ).
cnf(c_0_2518,negated_conjecture,
( cycle(e_1,e_0)
| cycle(e_1,e_4)
| product(e_2,e_3,e_5)
| product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[c_0_2373,c_0_842]),
[final] ).
cnf(c_0_2519,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_2374,c_0_2185]),
[final] ).
cnf(c_0_2520,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_2374,c_0_2186]),
[final] ).
cnf(c_0_2521,negated_conjecture,
( ~ next(e_5,X1)
| ~ greater(e_3,X2)
| ~ cycle(X1,X2)
| product(e_2,e_5,e_1)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_2374,c_0_2188]),
[final] ).
cnf(c_0_2522,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_2374,c_0_2198]),
[final] ).
cnf(c_0_2523,negated_conjecture,
( ~ next(e_5,X1)
| ~ greater(e_3,X2)
| ~ cycle(X1,X2)
| product(e_3,e_2,e_4)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_2374,c_0_2199]),
[final] ).
cnf(c_0_2524,negated_conjecture,
( ~ next(e_5,X1)
| ~ greater(e_3,X2)
| ~ cycle(X1,X2)
| product(e_3,e_4,e_5)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_2374,c_0_2202]),
[final] ).
cnf(c_0_2525,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_2374,c_0_2203]),
[final] ).
cnf(c_0_2526,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_2374,c_0_2204]),
[final] ).
cnf(c_0_2527,negated_conjecture,
( cycle(e_1,e_0)
| cycle(e_1,e_4)
| product(e_3,e_1,e_2) ),
inference(sr,[status(thm)],[c_0_2375,c_0_990]),
[final] ).
cnf(c_0_2528,negated_conjecture,
( ~ next(e_5,X1)
| ~ greater(e_3,X2)
| ~ cycle(X1,X2)
| product(e_2,e_3,e_5)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_2374,c_0_2205]),
[final] ).
cnf(c_0_2529,negated_conjecture,
( ~ next(e_5,X1)
| ~ greater(e_3,X2)
| ~ cycle(X1,X2)
| product(e_2,e_3,e_4)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_2374,c_0_2212]),
[final] ).
cnf(c_0_2530,negated_conjecture,
( ~ next(e_5,X1)
| ~ greater(e_3,X2)
| ~ cycle(X1,X2)
| product(e_2,e_5,e_1)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_2374,c_0_2213]),
[final] ).
cnf(c_0_2531,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_2374,c_0_2215]),
[final] ).
cnf(c_0_2532,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_2374,c_0_2219]),
[final] ).
cnf(c_0_2533,negated_conjecture,
( ~ product(X1,e_1,e_3)
| product(e_3,X1,e_5)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_105,c_0_2200]),
[final] ).
cnf(c_0_2535,negated_conjecture,
( ~ product(X1,e_1,e_3)
| product(e_3,X1,e_5)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_2377,c_0_2071]),
[final] ).
cnf(c_0_2537,negated_conjecture,
( ~ product(X1,e_1,e_3)
| product(e_3,X1,e_5)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_105,c_0_2379]),
[final] ).
cnf(c_0_2539,negated_conjecture,
( ~ product(X1,e_1,e_3)
| product(e_3,X1,e_5)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_105,c_0_1629]),
[final] ).
cnf(c_0_2541,negated_conjecture,
( product(e_5,e_2,e_3)
| product(e_5,e_3,e_2)
| product(e_2,e_3,e_1) ),
inference(sr,[status(thm)],[c_0_2337,c_0_1883]),
[final] ).
cnf(c_0_2542,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_2380,c_0_2015]),c_0_1079]),
[final] ).
cnf(c_0_2543,negated_conjecture,
( ~ product(X1,e_5,e_3)
| product(e_3,X1,e_2)
| product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_105,c_0_2211]),
[final] ).
cnf(c_0_2544,negated_conjecture,
( ~ product(e_3,e_5,e_4)
| product(e_4,e_5,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2381,c_0_2382]),c_0_2383]),
[final] ).
cnf(c_0_2545,negated_conjecture,
( ~ product(e_4,e_5,e_3)
| product(e_5,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_1921,c_0_1911]),
[final] ).
cnf(c_0_2553,negated_conjecture,
( ~ product(X1,e_1,e_3)
| product(e_3,X1,e_5)
| product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_105,c_0_1975]),
[final] ).
cnf(c_0_2557,negated_conjecture,
( ~ product(e_3,e_1,e_2)
| product(e_5,e_3,e_2)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_333,c_0_2385]),
[final] ).
cnf(c_0_2558,negated_conjecture,
( ~ product(X1,e_1,e_3)
| product(e_3,X1,e_5)
| product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_105,c_0_2386]),
[final] ).
cnf(c_0_2563,negated_conjecture,
( product(e_5,e_1,e_2)
| product(e_4,e_5,e_2)
| product(e_5,e_4,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_2389]),c_0_1455]),
[final] ).
cnf(c_0_2564,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_143,c_0_88]),c_0_144]),c_0_145]),
[final] ).
cnf(c_0_2565,plain,
( ~ next(e_1,X1)
| ~ next(X2,e_3)
| ~ cycle(X1,X2)
| cycle(e_1,e_3)
| cycle(e_1,e_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_166]),c_0_144]),c_0_145]),
[final] ).
cnf(c_0_2566,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_134,c_0_88]),c_0_135]),c_0_136]),
[final] ).
cnf(c_0_2574,negated_conjecture,
( product(e_1,e_3,e_5)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_782,c_0_2397]),
[final] ).
cnf(c_0_2575,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_206,c_0_2398]),
[final] ).
cnf(c_0_2576,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_126,c_0_2398]),
[final] ).
cnf(c_0_2577,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_144,c_0_2398]),
[final] ).
cnf(c_0_2578,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_135,c_0_2398]),
[final] ).
cnf(c_0_2579,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_206,c_0_2399]),
[final] ).
cnf(c_0_2580,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_126,c_0_2399]),
[final] ).
cnf(c_0_2581,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_144,c_0_2399]),
[final] ).
cnf(c_0_2582,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_135,c_0_2399]),
[final] ).
cnf(c_0_2583,negated_conjecture,
( ~ product(X1,e_4,e_5)
| product(e_5,X1,e_1)
| product(e_4,e_5,e_2)
| product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_105,c_0_2400]),
[final] ).
cnf(c_0_2584,negated_conjecture,
( ~ product(X1,e_4,e_5)
| product(e_5,X1,e_1)
| product(e_4,e_5,e_2)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_105,c_0_2401]),
[final] ).
cnf(c_0_2585,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_4,e_5,e_2)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_1918,c_0_1632]),
[final] ).
cnf(c_0_2586,negated_conjecture,
( ~ next(e_3,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_206,c_0_2402]),
[final] ).
cnf(c_0_2587,negated_conjecture,
( ~ next(e_3,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_126,c_0_2402]),
[final] ).
cnf(c_0_2588,negated_conjecture,
( ~ next(e_3,X1)
| ~ next(X2,e_3)
| ~ cycle(X1,X2)
| product(e_2,e_4,e_1)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_144,c_0_2402]),
[final] ).
cnf(c_0_2589,negated_conjecture,
( ~ next(e_3,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_135,c_0_2402]),
[final] ).
cnf(c_0_2590,negated_conjecture,
( ~ product(X1,e_4,e_5)
| product(e_5,X1,e_1)
| product(e_4,e_5,e_2)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_105,c_0_2403]),
[final] ).
cnf(c_0_2591,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_4,e_5,e_2)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_2388,c_0_1976]),
[final] ).
cnf(c_0_2592,negated_conjecture,
( ~ product(X1,e_4,e_5)
| product(e_5,X1,e_1)
| product(e_3,e_5,e_4)
| product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_105,c_0_2404]),
[final] ).
cnf(c_0_2593,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_4,e_5,e_2)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_2387,c_0_2063]),
[final] ).
cnf(c_0_2596,negated_conjecture,
( ~ product(X1,e_4,e_5)
| product(e_5,X1,e_1)
| product(e_3,e_5,e_1)
| product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_105,c_0_2376]),
[final] ).
cnf(c_0_2597,negated_conjecture,
( ~ product(X1,e_4,e_5)
| product(e_5,X1,e_1)
| product(e_3,e_5,e_1)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_105,c_0_2407]),
[final] ).
cnf(c_0_2598,negated_conjecture,
( ~ product(X1,e_4,e_5)
| product(e_5,X1,e_1)
| product(e_3,e_5,e_1)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_105,c_0_2408]),
[final] ).
cnf(c_0_2599,negated_conjecture,
( ~ product(X1,e_4,e_5)
| product(e_5,X1,e_1)
| product(e_2,e_4,e_1)
| product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_105,c_0_2378]),
[final] ).
cnf(c_0_2600,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_4,e_5,e_3)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_1868,c_0_2067]),
[final] ).
cnf(c_0_2601,negated_conjecture,
( ~ product(X1,e_4,e_5)
| product(e_5,X1,e_1)
| product(e_2,e_4,e_1)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_105,c_0_2409]),
[final] ).
cnf(c_0_2602,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_2410,c_0_2071]),
[final] ).
cnf(c_0_2603,negated_conjecture,
( ~ product(X1,e_4,e_5)
| product(e_5,X1,e_1)
| product(e_2,e_4,e_1)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_2411,c_0_2094]),
[final] ).
cnf(c_0_2604,negated_conjecture,
( ~ product(X1,e_4,e_5)
| product(e_5,X1,e_1)
| product(e_2,e_4,e_1)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_2411,c_0_2095]),
[final] ).
cnf(c_0_2605,negated_conjecture,
( ~ product(X1,e_5,e_1)
| product(e_1,X1,e_4)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_105,c_0_2412]),
[final] ).
cnf(c_0_2606,negated_conjecture,
( ~ product(X1,e_3,e_5)
| product(e_5,X1,e_2)
| product(e_2,e_4,e_1)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_105,c_0_2094]),
[final] ).
cnf(c_0_2607,negated_conjecture,
( ~ product(X1,e_3,e_5)
| product(e_5,X1,e_2)
| product(e_2,e_4,e_1)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_105,c_0_2095]),
[final] ).
cnf(c_0_2608,negated_conjecture,
( ~ product(e_4,e_5,e_2)
| product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_2413,c_0_1486]),
[final] ).
cnf(c_0_2609,negated_conjecture,
( ~ product(X1,e_1,e_5)
| ~ product(e_4,e_5,e_3)
| product(e_5,X1,e_2) ),
inference(spm,[status(thm)],[c_0_105,c_0_1894]),
[final] ).
cnf(c_0_2610,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_5,e_3,e_2)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_1818,c_0_1948]),
[final] ).
cnf(c_0_2611,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_5,e_3,e_2)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1818,c_0_1963]),
[final] ).
cnf(c_0_2612,negated_conjecture,
( ~ product(X1,e_2,e_4)
| product(e_4,X1,e_1)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_105,c_0_2414]),
[final] ).
cnf(c_0_2613,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_2415,c_0_1780]),c_0_2416]),
[final] ).
cnf(c_0_2614,negated_conjecture,
( product(e_1,e_5,e_3)
| product(e_3,e_5,e_4) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1731,c_0_2417]),c_0_1913]),c_0_1641]),
[final] ).
cnf(c_0_2615,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_260,c_0_2404]),c_0_1542]),
[final] ).
cnf(c_0_2616,negated_conjecture,
( ~ product(e_4,e_5,e_2)
| product(e_5,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_2413,c_0_1663]),
[final] ).
cnf(c_0_2617,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_5,e_2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_333,c_0_2418]),c_0_1446]),
[final] ).
cnf(c_0_2618,negated_conjecture,
( ~ product(e_3,e_2,e_4)
| product(e_1,e_5,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1731,c_0_2419]),c_0_1913]),
[final] ).
cnf(c_0_2619,negated_conjecture,
( ~ product(e_2,e_4,e_1)
| product(e_1,e_5,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1731,c_0_2420]),c_0_1913]),
[final] ).
cnf(c_0_2620,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_1,e_5,e_2)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_1119,c_0_2421]),
[final] ).
cnf(c_0_2622,negated_conjecture,
( ~ product(X1,e_5,e_4)
| product(e_4,X1,e_3)
| product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_105,c_0_2423]),
[final] ).
cnf(c_0_2624,negated_conjecture,
( ~ product(e_2,e_3,e_5)
| ~ product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_337,c_0_1947]),
[final] ).
cnf(c_0_2625,negated_conjecture,
( ~ product(X1,e_3,e_4)
| ~ product(e_3,e_2,e_5)
| product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_105,c_0_2045]),
[final] ).
cnf(c_0_2626,negated_conjecture,
( product(e_5,e_3,e_2)
| product(e_5,e_2,e_3)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_2425,c_0_2426]),
[final] ).
cnf(c_0_2627,negated_conjecture,
( product(e_5,e_2,e_3)
| product(e_5,e_3,e_2)
| product(e_3,e_5,e_2) ),
inference(sr,[status(thm)],[c_0_2427,c_0_1883]),
[final] ).
cnf(c_0_2628,negated_conjecture,
( ~ product(e_4,e_3,e_2)
| product(e_3,e_1,e_4)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_348,c_0_2077]),
[final] ).
cnf(c_0_2629,negated_conjecture,
( ~ product(X1,e_1,e_4)
| product(e_4,X1,e_2)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_1901,c_0_2428]),
[final] ).
cnf(c_0_2630,negated_conjecture,
( product(e_1,e_5,e_3)
| product(e_3,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1731,c_0_2429]),c_0_1913]),
[final] ).
cnf(c_0_2631,negated_conjecture,
( ~ product(e_2,e_3,e_5)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_1980,c_0_1123]),
[final] ).
cnf(c_0_2632,negated_conjecture,
( ~ product(X1,e_1,e_2)
| product(e_2,X1,e_4)
| product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_105,c_0_2430]),
[final] ).
cnf(c_0_2633,negated_conjecture,
( ~ product(X1,e_1,e_2)
| product(e_2,X1,e_4)
| product(e_5,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_105,c_0_2112]),
[final] ).
cnf(c_0_2636,negated_conjecture,
( ~ product(e_3,e_2,e_4)
| product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_90,c_0_2430]),
[final] ).
cnf(c_0_2638,negated_conjecture,
( ~ product(e_3,e_2,e_4)
| product(e_5,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_90,c_0_2112]),
[final] ).
cnf(c_0_2639,negated_conjecture,
( product(e_4,e_2,e_3)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_2433,c_0_1995]),
[final] ).
cnf(c_0_2640,negated_conjecture,
( ~ product(e_1,e_5,e_2)
| product(e_2,e_5,e_1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_259,c_0_2434]),c_0_356]),c_0_413]),
[final] ).
cnf(c_0_2641,negated_conjecture,
( ~ product(e_1,e_5,e_2)
| product(e_2,e_3,e_4) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_259,c_0_2435]),c_0_356]),c_0_413]),
[final] ).
cnf(c_0_2645,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_206,c_0_2437]),
[final] ).
cnf(c_0_2646,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_126,c_0_2437]),
[final] ).
cnf(c_0_2647,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_144,c_0_2437]),
[final] ).
cnf(c_0_2648,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_135,c_0_2437]),
[final] ).
cnf(c_0_2649,negated_conjecture,
( ~ next(e_3,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_206,c_0_2438]),
[final] ).
cnf(c_0_2650,negated_conjecture,
( ~ next(e_3,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_126,c_0_2438]),
[final] ).
cnf(c_0_2651,negated_conjecture,
( ~ next(e_3,X1)
| ~ next(X2,e_3)
| ~ cycle(X1,X2)
| product(e_3,e_5,e_4)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_144,c_0_2438]),
[final] ).
cnf(c_0_2652,negated_conjecture,
( ~ next(e_3,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_135,c_0_2438]),
[final] ).
cnf(c_0_2653,negated_conjecture,
( ~ product(e_2,e_5,e_1)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_1828,c_0_1995]),
[final] ).
cnf(c_0_2654,negated_conjecture,
( product(e_5,e_4,e_2)
| product(e_3,e_5,e_1)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_2439,c_0_2074]),
[final] ).
cnf(c_0_2655,negated_conjecture,
( product(e_5,e_4,e_2)
| product(e_3,e_2,e_4)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_1811,c_0_2076]),
[final] ).
cnf(c_0_2656,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_5,e_4,e_2)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_2343,c_0_1933]),
[final] ).
cnf(c_0_2659,negated_conjecture,
( ~ product(X1,e_4,e_5)
| product(e_5,X1,e_1)
| product(e_3,e_5,e_4)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_105,c_0_2046]),
[final] ).
cnf(c_0_2660,negated_conjecture,
( ~ product(X1,e_4,e_5)
| product(e_5,X1,e_1)
| product(e_3,e_5,e_4)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_105,c_0_2441]),
[final] ).
cnf(c_0_2661,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_2,e_3,e_1)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_2442,c_0_1797]),
[final] ).
cnf(c_0_2662,negated_conjecture,
( ~ product(X1,e_4,e_5)
| product(e_5,X1,e_1)
| product(e_3,e_5,e_4)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_105,c_0_2048]),
[final] ).
cnf(c_0_2663,negated_conjecture,
( ~ product(X1,e_4,e_5)
| product(e_5,X1,e_1)
| product(e_3,e_5,e_4)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_105,c_0_2443]),
[final] ).
cnf(c_0_2665,negated_conjecture,
( ~ next(e_3,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_206,c_0_2444]),
[final] ).
cnf(c_0_2666,negated_conjecture,
( ~ next(e_3,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_126,c_0_2444]),
[final] ).
cnf(c_0_2667,negated_conjecture,
( ~ next(e_3,X1)
| ~ next(X2,e_3)
| ~ cycle(X1,X2)
| product(e_3,e_5,e_4)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_144,c_0_2444]),
[final] ).
cnf(c_0_2668,negated_conjecture,
( ~ next(e_3,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_135,c_0_2444]),
[final] ).
cnf(c_0_2669,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_206,c_0_2445]),
[final] ).
cnf(c_0_2670,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_126,c_0_2445]),
[final] ).
cnf(c_0_2671,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_144,c_0_2445]),
[final] ).
cnf(c_0_2672,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_135,c_0_2445]),
[final] ).
cnf(c_0_2673,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_206,c_0_2446]),
[final] ).
cnf(c_0_2674,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_126,c_0_2446]),
[final] ).
cnf(c_0_2675,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_144,c_0_2446]),
[final] ).
cnf(c_0_2676,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_135,c_0_2446]),
[final] ).
cnf(c_0_2679,negated_conjecture,
( ~ next(e_3,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_206,c_0_2448]),
[final] ).
cnf(c_0_2680,negated_conjecture,
( ~ next(e_3,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_126,c_0_2448]),
[final] ).
cnf(c_0_2681,negated_conjecture,
( ~ next(e_3,X1)
| ~ next(X2,e_3)
| ~ cycle(X1,X2)
| product(e_3,e_5,e_4)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_144,c_0_2448]),
[final] ).
cnf(c_0_2682,negated_conjecture,
( ~ next(e_3,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_135,c_0_2448]),
[final] ).
cnf(c_0_2684,negated_conjecture,
( ~ product(X1,e_3,e_5)
| product(e_5,X1,e_4)
| product(e_2,e_3,e_1)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_105,c_0_2450]),
[final] ).
cnf(c_0_2691,negated_conjecture,
( ~ product(e_4,e_2,e_1)
| product(e_1,e_5,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1516,c_0_2332]),c_0_2333]),
[final] ).
cnf(c_0_2692,negated_conjecture,
( ~ product(e_1,e_2,e_5)
| ~ product(e_1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_304,c_0_2456]),
[final] ).
cnf(c_0_2693,negated_conjecture,
( ~ product(X1,e_5,e_1)
| product(e_1,X1,e_4)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_105,c_0_2457]),
[final] ).
cnf(c_0_2695,negated_conjecture,
( ~ product(e_3,e_2,e_4)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_1719,c_0_1494]),
[final] ).
cnf(c_0_2698,negated_conjecture,
( ~ product(X1,e_4,e_5)
| product(e_5,X1,e_1)
| product(e_2,e_3,e_4)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_105,c_0_2208]),
[final] ).
cnf(c_0_2699,negated_conjecture,
( ~ product(X1,e_4,e_5)
| product(e_5,X1,e_1)
| product(e_2,e_5,e_1)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_105,c_0_2459]),
[final] ).
cnf(c_0_2700,negated_conjecture,
( ~ next(e_3,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_206,c_0_2460]),
[final] ).
cnf(c_0_2701,negated_conjecture,
( ~ next(e_3,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_126,c_0_2460]),
[final] ).
cnf(c_0_2702,negated_conjecture,
( ~ next(e_3,X1)
| ~ next(X2,e_3)
| ~ cycle(X1,X2)
| product(e_3,e_4,e_5)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_144,c_0_2460]),
[final] ).
cnf(c_0_2703,negated_conjecture,
( ~ next(e_3,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_135,c_0_2460]),
[final] ).
cnf(c_0_2704,negated_conjecture,
( ~ next(e_3,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_206,c_0_2461]),
[final] ).
cnf(c_0_2705,negated_conjecture,
( ~ next(e_3,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_126,c_0_2461]),
[final] ).
cnf(c_0_2706,negated_conjecture,
( ~ next(e_3,X1)
| ~ next(X2,e_3)
| ~ cycle(X1,X2)
| product(e_3,e_4,e_5)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_144,c_0_2461]),
[final] ).
cnf(c_0_2707,negated_conjecture,
( ~ next(e_3,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_135,c_0_2461]),
[final] ).
cnf(c_0_2708,negated_conjecture,
( ~ product(X1,e_3,e_4)
| product(e_4,X1,e_5)
| product(e_2,e_5,e_1)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_105,c_0_2180]),
[final] ).
cnf(c_0_2709,negated_conjecture,
( ~ product(X1,e_3,e_4)
| product(e_4,X1,e_5)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_105,c_0_1862]),
[final] ).
cnf(c_0_2711,negated_conjecture,
( ~ product(e_2,e_4,e_5)
| product(e_3,e_5,e_2)
| product(e_3,e_5,e_4) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1674,c_0_2462]),c_0_1362]),c_0_1502]),c_0_1676]),
[final] ).
cnf(c_0_2714,negated_conjecture,
( ~ product(e_4,e_3,e_1)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_348,c_0_1679]),
[final] ).
cnf(c_0_2716,negated_conjecture,
( ~ product(e_5,e_4,e_3)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_2464,c_0_1373]),
[final] ).
cnf(c_0_2720,negated_conjecture,
( ~ product(e_2,e_3,e_4)
| ~ product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_511,c_0_1517]),
[final] ).
cnf(c_0_2722,negated_conjecture,
( ~ product(X1,e_4,e_5)
| product(e_5,X1,e_3)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_105,c_0_2015]),
[final] ).
cnf(c_0_2723,negated_conjecture,
( ~ product(X1,e_4,e_5)
| product(e_5,X1,e_1)
| product(e_4,e_5,e_3)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_105,c_0_1503]),
[final] ).
cnf(c_0_2734,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_206,c_0_2471]),
[final] ).
cnf(c_0_2735,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_126,c_0_2471]),
[final] ).
cnf(c_0_2736,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_144,c_0_2471]),
[final] ).
cnf(c_0_2737,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_135,c_0_2471]),
[final] ).
cnf(c_0_2738,negated_conjecture,
( ~ product(X1,e_4,e_5)
| product(e_5,X1,e_1)
| product(e_2,e_5,e_1)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_105,c_0_2472]),
[final] ).
cnf(c_0_2744,negated_conjecture,
( ~ product(X1,e_4,e_5)
| product(e_5,X1,e_3)
| product(e_2,e_3,e_5)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_105,c_0_2278]),
[final] ).
cnf(c_0_2745,negated_conjecture,
( ~ product(X1,e_4,e_5)
| product(e_5,X1,e_3)
| product(e_2,e_3,e_5)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_105,c_0_1420]),
[final] ).
cnf(c_0_2746,negated_conjecture,
( ~ product(X1,e_4,e_5)
| product(e_5,X1,e_1)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_105,c_0_1602]),
[final] ).
cnf(c_0_2747,negated_conjecture,
( ~ product(X1,e_4,e_5)
| product(e_5,X1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_105,c_0_1070]),
[final] ).
cnf(c_0_2749,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_206,c_0_2478]),
[final] ).
cnf(c_0_2750,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_126,c_0_2478]),
[final] ).
cnf(c_0_2751,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_144,c_0_2478]),
[final] ).
cnf(c_0_2752,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_135,c_0_2478]),
[final] ).
cnf(c_0_2755,negated_conjecture,
( ~ product(e_1,e_2,e_5)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_337,c_0_1576]),
[final] ).
cnf(c_0_2757,negated_conjecture,
( ~ next(e_5,X1)
| ~ greater(e_3,X2)
| ~ cycle(X1,X2)
| product(e_2,e_3,e_4)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2374,c_0_2220]),
[final] ).
cnf(c_0_2758,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_2479,c_0_2480]),
[final] ).
cnf(c_0_2759,axiom,
greater(e_2,e_1),
e_2_greater_e_1,
[final] ).
cnf(c_0_2760,negated_conjecture,
( ~ next(e_5,X1)
| ~ greater(e_3,X2)
| ~ cycle(X1,X2)
| product(e_2,e_3,e_5)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_2374,c_0_2481]),
[final] ).
cnf(c_0_2761,negated_conjecture,
( ~ next(e_3,X1)
| ~ greater(e_1,X2)
| ~ cycle(X1,X2)
| cycle(e_3,e_2)
| cycle(e_1,e_4)
| cycle(e_1,e_3)
| cycle(e_1,e_2)
| cycle(e_1,e_0) ),
inference(spm,[status(thm)],[c_0_2482,c_0_166]),
[final] ).
cnf(c_0_2764,negated_conjecture,
( cycle(e_3,e_2)
| product(e_3,e_1,e_2) ),
inference(sr,[status(thm)],[c_0_2135,c_0_990]),
[final] ).
cnf(c_0_2765,negated_conjecture,
( ~ 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_2364,c_0_2485]),c_0_113]),c_0_89])]),
[final] ).
cnf(c_0_2770,negated_conjecture,
( ~ next(e_3,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_206,c_0_2486]),
[final] ).
cnf(c_0_2771,negated_conjecture,
( ~ next(e_3,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_126,c_0_2486]),
[final] ).
cnf(c_0_2772,negated_conjecture,
( ~ next(e_3,X1)
| ~ next(X2,e_3)
| ~ cycle(X1,X2)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_144,c_0_2486]),
[final] ).
cnf(c_0_2773,negated_conjecture,
( ~ next(e_3,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_135,c_0_2486]),
[final] ).
cnf(c_0_2775,negated_conjecture,
( ~ next(e_2,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_205,c_0_2481]),
[final] ).
cnf(c_0_2776,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_206,c_0_2480]),
[final] ).
cnf(c_0_2781,plain,
( ~ next(e_5,X1)
| ~ greater(e_1,X2)
| ~ cycle(X1,X2)
| cycle(e_1,e_4)
| cycle(e_1,e_3)
| cycle(e_1,e_2)
| cycle(e_1,e_0) ),
inference(spm,[status(thm)],[c_0_2489,c_0_166]),
[final] ).
cnf(c_0_2782,plain,
( ~ next(X1,e_1)
| ~ greater(X2,e_0)
| ~ cycle(X1,X2)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_201,c_0_158]),
[final] ).
cnf(c_0_2784,plain,
( ~ next(X1,e_1)
| ~ greater(X2,e_0)
| ~ cycle(X1,X2)
| ~ product(X1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_2491,c_0_158]),
[final] ).
cnf(c_0_2785,negated_conjecture,
( ~ 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_2479,c_0_2040]),
[final] ).
cnf(c_0_2786,plain,
( ~ next(X1,e_1)
| ~ greater(X2,e_0)
| ~ cycle(X1,X2)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_170,c_0_158]),
[final] ).
cnf(c_0_2787,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_2492,c_0_88]),c_0_2493]),c_0_2494]),c_0_2495]),
[final] ).
cnf(c_0_2788,plain,
( ~ next(X1,e_1)
| ~ greater(X2,e_0)
| ~ cycle(X1,X2)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_83,c_0_158]),
[final] ).
cnf(c_0_2789,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_2492,c_0_563]),c_0_2493]),c_0_2494]),c_0_2495]),
[final] ).
cnf(c_0_2792,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_2497,c_0_88]),
[final] ).
cnf(c_0_2793,plain,
( ~ next(e_3,X1)
| ~ greater(e_1,X2)
| ~ cycle(X1,X2)
| 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_2498,c_0_563]),
[final] ).
cnf(c_0_2794,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_2374,c_0_563]),
[final] ).
cnf(c_0_2795,plain,
( ~ greater(X1,e_1)
| ~ product(e_1,e_1,X1)
| cycle(e_2,e_0)
| cycle(e_2,e_2)
| cycle(e_2,e_3)
| cycle(e_2,e_4)
| cycle(e_1,e_2) ),
inference(spm,[status(thm)],[c_0_173,c_0_2499]),
[final] ).
cnf(c_0_2798,plain,
( ~ next(e_1,X1)
| ~ next(X2,e_5)
| ~ cycle(X1,X2)
| cycle(e_1,e_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_166]),c_0_126]),c_0_127]),c_0_128]),
[final] ).
cnf(c_0_2799,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_72,c_0_563]),c_0_74]),c_0_75]),
[final] ).
cnf(c_0_2800,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_72,c_0_88]),c_0_74]),c_0_75]),
[final] ).
cnf(c_0_2801,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_125,c_0_88]),c_0_126]),c_0_127]),c_0_128]),
[final] ).
cnf(c_0_2803,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_3,e_5,e_1) ),
inference(sr,[status(thm)],[c_0_2501,c_0_1392]),
[final] ).
cnf(c_0_2804,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_4,e_3,e_1) ),
inference(sr,[status(thm)],[c_0_2502,c_0_1392]),
[final] ).
cnf(c_0_2805,plain,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_5) ),
inference(sr,[status(thm)],[c_0_2503,c_0_1392]),
[final] ).
cnf(c_0_2807,negated_conjecture,
( ~ greater(X1,e_1)
| ~ product(e_1,e_1,X1)
| cycle(e_1,e_4)
| product(e_2,e_4,e_1)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_173,c_0_2504]),
[final] ).
cnf(c_0_2808,negated_conjecture,
( ~ greater(X1,e_1)
| ~ product(e_1,e_1,X1)
| cycle(e_1,e_4)
| product(e_2,e_4,e_1)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_173,c_0_2505]),
[final] ).
cnf(c_0_2809,negated_conjecture,
( ~ greater(X1,e_1)
| ~ product(e_1,e_1,X1)
| cycle(e_1,e_4)
| product(e_2,e_4,e_1)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_173,c_0_2506]),
[final] ).
cnf(c_0_2810,negated_conjecture,
( ~ greater(X1,e_1)
| ~ product(e_1,e_1,X1)
| cycle(e_1,e_4)
| product(e_3,e_5,e_4)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_173,c_0_2507]),
[final] ).
cnf(c_0_2811,negated_conjecture,
( ~ greater(X1,e_1)
| ~ product(e_1,e_1,X1)
| cycle(e_1,e_4)
| product(e_3,e_5,e_4)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_173,c_0_2508]),
[final] ).
cnf(c_0_2812,negated_conjecture,
( ~ greater(X1,e_1)
| ~ product(e_1,e_1,X1)
| cycle(e_1,e_4)
| product(e_3,e_5,e_4)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_173,c_0_2509]),
[final] ).
cnf(c_0_2813,negated_conjecture,
( ~ greater(X1,e_1)
| ~ product(e_1,e_1,X1)
| cycle(e_1,e_4)
| product(e_2,e_5,e_1)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_173,c_0_2510]),
[final] ).
cnf(c_0_2814,negated_conjecture,
( ~ greater(X1,e_1)
| ~ product(e_1,e_1,X1)
| cycle(e_1,e_4)
| product(e_2,e_3,e_4)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_173,c_0_2511]),
[final] ).
cnf(c_0_2815,negated_conjecture,
( ~ greater(X1,e_1)
| ~ product(e_1,e_1,X1)
| cycle(e_1,e_4)
| product(e_3,e_5,e_4)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_173,c_0_2512]),
[final] ).
cnf(c_0_2816,negated_conjecture,
( ~ greater(X1,e_1)
| ~ product(e_1,e_1,X1)
| cycle(e_1,e_4)
| product(e_3,e_4,e_5)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_173,c_0_2513]),
[final] ).
cnf(c_0_2817,negated_conjecture,
( ~ greater(X1,e_1)
| ~ product(e_1,e_1,X1)
| cycle(e_1,e_4)
| product(e_3,e_4,e_5)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_173,c_0_2514]),
[final] ).
cnf(c_0_2818,negated_conjecture,
( ~ greater(X1,e_1)
| ~ product(e_1,e_1,X1)
| cycle(e_1,e_4)
| product(e_2,e_5,e_1)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_173,c_0_2515]),
[final] ).
cnf(c_0_2819,negated_conjecture,
( ~ greater(X1,e_1)
| ~ product(e_1,e_1,X1)
| cycle(e_1,e_4)
| product(e_2,e_5,e_1)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_173,c_0_2516]),
[final] ).
cnf(c_0_2820,negated_conjecture,
( ~ greater(X1,e_1)
| ~ product(e_1,e_1,X1)
| cycle(e_1,e_4)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_173,c_0_2517]),
[final] ).
cnf(c_0_2821,negated_conjecture,
( ~ greater(X1,e_1)
| ~ product(e_1,e_1,X1)
| cycle(e_1,e_4)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_173,c_0_2518]),
[final] ).
cnf(c_0_2822,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_2519,c_0_212]),
[final] ).
cnf(c_0_2823,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_2519,c_0_68]),
[final] ).
cnf(c_0_2824,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_2519,c_0_608]),
[final] ).
cnf(c_0_2825,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_2520,c_0_212]),
[final] ).
cnf(c_0_2826,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_2520,c_0_68]),
[final] ).
cnf(c_0_2827,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_2520,c_0_608]),
[final] ).
cnf(c_0_2828,negated_conjecture,
( ~ next(e_5,X1)
| ~ cycle(X1,e_1)
| product(e_2,e_4,e_1)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_2521,c_0_212]),
[final] ).
cnf(c_0_2829,negated_conjecture,
( ~ next(e_5,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_2521,c_0_68]),
[final] ).
cnf(c_0_2830,negated_conjecture,
( ~ next(e_5,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_2521,c_0_608]),
[final] ).
cnf(c_0_2831,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_2522,c_0_212]),
[final] ).
cnf(c_0_2832,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_2522,c_0_68]),
[final] ).
cnf(c_0_2833,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_2522,c_0_608]),
[final] ).
cnf(c_0_2834,negated_conjecture,
( ~ next(e_5,X1)
| ~ cycle(X1,e_1)
| product(e_3,e_5,e_4)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2523,c_0_212]),
[final] ).
cnf(c_0_2835,negated_conjecture,
( ~ next(e_5,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_2523,c_0_68]),
[final] ).
cnf(c_0_2836,negated_conjecture,
( ~ next(e_5,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_2523,c_0_608]),
[final] ).
cnf(c_0_2837,negated_conjecture,
( ~ next(e_5,X1)
| ~ cycle(X1,e_1)
| product(e_3,e_5,e_4)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_2524,c_0_212]),
[final] ).
cnf(c_0_2838,negated_conjecture,
( ~ next(e_5,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_2524,c_0_68]),
[final] ).
cnf(c_0_2839,negated_conjecture,
( ~ next(e_5,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_2524,c_0_608]),
[final] ).
cnf(c_0_2840,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_2525,c_0_212]),
[final] ).
cnf(c_0_2841,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_2525,c_0_68]),
[final] ).
cnf(c_0_2842,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_2525,c_0_608]),
[final] ).
cnf(c_0_2843,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_2526,c_0_212]),
[final] ).
cnf(c_0_2844,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_2526,c_0_68]),
[final] ).
cnf(c_0_2845,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_2526,c_0_608]),
[final] ).
cnf(c_0_2846,negated_conjecture,
( ~ greater(X1,e_1)
| ~ product(e_1,e_1,X1)
| cycle(e_1,e_4)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_173,c_0_2527]),
[final] ).
cnf(c_0_2847,negated_conjecture,
( ~ next(e_5,X1)
| ~ cycle(X1,e_1)
| product(e_3,e_5,e_4)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_2528,c_0_212]),
[final] ).
cnf(c_0_2848,negated_conjecture,
( ~ next(e_5,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_2528,c_0_68]),
[final] ).
cnf(c_0_2849,negated_conjecture,
( ~ next(e_5,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_2528,c_0_608]),
[final] ).
cnf(c_0_2850,negated_conjecture,
( ~ next(e_5,X1)
| ~ cycle(X1,e_1)
| product(e_3,e_4,e_5)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_2529,c_0_212]),
[final] ).
cnf(c_0_2851,negated_conjecture,
( ~ next(e_5,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_2529,c_0_68]),
[final] ).
cnf(c_0_2852,negated_conjecture,
( ~ next(e_5,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_2529,c_0_608]),
[final] ).
cnf(c_0_2853,negated_conjecture,
( ~ next(e_5,X1)
| ~ cycle(X1,e_1)
| product(e_3,e_4,e_5)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_2530,c_0_212]),
[final] ).
cnf(c_0_2854,negated_conjecture,
( ~ next(e_5,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_2530,c_0_68]),
[final] ).
cnf(c_0_2855,negated_conjecture,
( ~ next(e_5,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_2530,c_0_608]),
[final] ).
cnf(c_0_2856,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_2531,c_0_212]),
[final] ).
cnf(c_0_2857,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_2531,c_0_68]),
[final] ).
cnf(c_0_2858,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_2531,c_0_608]),
[final] ).
cnf(c_0_2859,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_2532,c_0_212]),
[final] ).
cnf(c_0_2860,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_2532,c_0_68]),
[final] ).
cnf(c_0_2861,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_2532,c_0_608]),
[final] ).
cnf(c_0_2862,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_4,e_5,e_3)
| product(e_5,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2533,c_0_2534]),c_0_1721]),
[final] ).
cnf(c_0_2863,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_4,e_5,e_3)
| product(e_5,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2535,c_0_2536]),c_0_1721]),
[final] ).
cnf(c_0_2864,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_4,e_5,e_3)
| product(e_5,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2537,c_0_2538]),c_0_1721]),
[final] ).
cnf(c_0_2865,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_4,e_5,e_3)
| product(e_5,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2539,c_0_2540]),c_0_1721]),
[final] ).
cnf(c_0_2866,negated_conjecture,
( ~ product(e_4,e_5,e_3)
| product(e_1,e_1,e_2)
| product(e_1,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_1723,c_0_1911]),
[final] ).
cnf(c_0_2867,negated_conjecture,
( ~ product(X1,e_5,e_3)
| product(e_3,X1,e_2)
| product(e_2,e_3,e_1)
| product(e_5,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_105,c_0_2541]),
[final] ).
cnf(c_0_2868,negated_conjecture,
( ~ product(e_2,e_3,e_1)
| ~ product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_242,c_0_2542]),
[final] ).
cnf(c_0_2869,negated_conjecture,
( ~ product(e_3,e_5,e_4)
| product(e_4,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2543,c_0_2544]),c_0_422]),
[final] ).
cnf(c_0_2870,negated_conjecture,
( ~ product(X1,e_5,e_2)
| ~ product(e_4,e_5,e_3)
| product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_105,c_0_2545]),
[final] ).
cnf(c_0_2871,negated_conjecture,
( ~ product(X1,e_1,e_2)
| ~ product(e_4,e_5,e_3)
| product(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_1722,c_0_1911]),
[final] ).
cnf(c_0_2872,negated_conjecture,
( ~ product(X1,e_5,e_4)
| ~ product(e_4,e_5,e_3)
| product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_105,c_0_1911]),
[final] ).
cnf(c_0_2873,negated_conjecture,
( ~ product(e_4,e_5,e_3)
| ~ product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_278,c_0_1911]),
[final] ).
cnf(c_0_2874,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_3,e_5,e_4)
| product(e_5,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2533,c_0_2546]),c_0_1721]),
[final] ).
cnf(c_0_2875,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_3,e_5,e_4)
| product(e_5,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2537,c_0_2547]),c_0_1721]),
[final] ).
cnf(c_0_2876,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_2,e_4,e_1)
| product(e_5,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_2548]),c_0_2299]),
[final] ).
cnf(c_0_2877,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_3,e_5,e_4)
| product(e_5,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2539,c_0_2549]),c_0_1721]),
[final] ).
cnf(c_0_2878,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_2,e_3,e_4)
| product(e_5,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2533,c_0_2550]),c_0_1721]),
[final] ).
cnf(c_0_2879,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_2,e_5,e_1)
| product(e_5,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2533,c_0_2551]),c_0_1721]),
[final] ).
cnf(c_0_2880,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_3,e_5,e_4)
| product(e_5,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2230,c_0_2552]),c_0_1721]),
[final] ).
cnf(c_0_2881,negated_conjecture,
( product(e_5,e_3,e_2)
| product(e_3,e_5,e_4)
| product(e_5,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2553,c_0_2554]),c_0_1721]),
[final] ).
cnf(c_0_2882,negated_conjecture,
( product(e_5,e_3,e_2)
| product(e_4,e_5,e_3)
| product(e_5,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2553,c_0_2555]),c_0_1721]),
[final] ).
cnf(c_0_2883,negated_conjecture,
( product(e_5,e_3,e_2)
| product(e_2,e_3,e_4)
| product(e_5,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2553,c_0_2556]),c_0_1721]),
[final] ).
cnf(c_0_2884,negated_conjecture,
( ~ product(e_3,e_5,e_1)
| product(e_5,e_3,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2557,c_0_1618]),c_0_393]),
[final] ).
cnf(c_0_2885,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_5,e_1,e_2)
| product(e_3,e_5,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2558,c_0_2559]),c_0_1721]),
[final] ).
cnf(c_0_2886,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_5,e_1,e_2)
| product(e_4,e_5,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2558,c_0_2560]),c_0_1721]),
[final] ).
cnf(c_0_2887,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_5,e_1,e_2)
| product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2558,c_0_2561]),c_0_1721]),
[final] ).
cnf(c_0_2888,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_5,e_1,e_2)
| product(e_2,e_5,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2558,c_0_2562]),c_0_1721]),
[final] ).
cnf(c_0_2889,negated_conjecture,
( ~ product(e_3,e_1,e_2)
| product(e_5,e_4,e_2)
| product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_333,c_0_2563]),
[final] ).
cnf(c_0_2890,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_2564,c_0_153]),
[final] ).
cnf(c_0_2891,plain,
( ~ next(e_1,X1)
| ~ cycle(X1,e_2)
| cycle(e_1,e_0)
| cycle(e_1,e_3) ),
inference(spm,[status(thm)],[c_0_2565,c_0_153]),
[final] ).
cnf(c_0_2892,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_2566,c_0_89]),
[final] ).
cnf(c_0_2893,negated_conjecture,
( product(e_5,e_3,e_2)
| product(e_5,e_2,e_3)
| product(e_5,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2553,c_0_2567]),c_0_1721]),
[final] ).
cnf(c_0_2894,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_5,e_1,e_2)
| product(e_5,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2558,c_0_2568]),c_0_1721]),
[final] ).
cnf(c_0_2896,negated_conjecture,
( ~ product(e_3,e_5,e_2)
| ~ product(e_5,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_342,c_0_2216]),
[final] ).
cnf(c_0_2897,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_3,e_1,e_4)
| product(e_1,e_4,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_259,c_0_2569]),c_0_1486]),
[final] ).
cnf(c_0_2898,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_3,e_5,e_2)
| product(e_1,e_4,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_259,c_0_2570]),c_0_1486]),
[final] ).
cnf(c_0_2899,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_2,e_4,e_1)
| product(e_1,e_4,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_259,c_0_2571]),c_0_1486]),
[final] ).
cnf(c_0_2900,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_259,c_0_2572]),c_0_1486]),
[final] ).
cnf(c_0_2901,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_3,e_1)
| product(e_1,e_4,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_278,c_0_2573]),c_0_2574]),
[final] ).
cnf(c_0_2902,negated_conjecture,
( ~ next(e_1,X1)
| ~ greater(X4,X2)
| ~ greater(e_1,X3)
| ~ cycle(X3,X4)
| ~ cycle(X1,X2)
| cycle(e_1,e_4)
| product(e_2,e_4,e_1)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_93,c_0_2504]),
[final] ).
cnf(c_0_2903,negated_conjecture,
( ~ next(e_1,X1)
| ~ greater(X4,X2)
| ~ greater(e_1,X3)
| ~ cycle(X3,X4)
| ~ cycle(X1,X2)
| cycle(e_1,e_4)
| product(e_2,e_4,e_1)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_93,c_0_2505]),
[final] ).
cnf(c_0_2904,negated_conjecture,
( ~ next(e_1,X1)
| ~ greater(X4,X2)
| ~ greater(e_1,X3)
| ~ cycle(X3,X4)
| ~ cycle(X1,X2)
| cycle(e_1,e_4)
| product(e_2,e_4,e_1)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_93,c_0_2506]),
[final] ).
cnf(c_0_2905,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_2575,c_0_214]),
[final] ).
cnf(c_0_2906,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_2576,c_0_138]),
[final] ).
cnf(c_0_2907,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_2577,c_0_153]),
[final] ).
cnf(c_0_2908,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_2578,c_0_89]),
[final] ).
cnf(c_0_2909,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_2492,c_0_166]),c_0_2493]),c_0_2494]),c_0_2495]),
[final] ).
cnf(c_0_2910,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_2492,c_0_73]),c_0_2493]),c_0_2494]),c_0_2495]),
[final] ).
cnf(c_0_2911,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_74,c_0_2185]),
[final] ).
cnf(c_0_2912,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_136,c_0_2185]),
[final] ).
cnf(c_0_2913,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_127,c_0_2185]),
[final] ).
cnf(c_0_2914,plain,
( ~ cycle(X1,e_3)
| ~ cycle(X1,e_2) ),
inference(spm,[status(thm)],[c_0_67,c_0_2369]),
[final] ).
cnf(c_0_2915,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_2579,c_0_214]),
[final] ).
cnf(c_0_2916,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_2580,c_0_138]),
[final] ).
cnf(c_0_2917,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_2581,c_0_153]),
[final] ).
cnf(c_0_2918,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_2582,c_0_89]),
[final] ).
cnf(c_0_2919,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_74,c_0_2186]),
[final] ).
cnf(c_0_2920,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_136,c_0_2186]),
[final] ).
cnf(c_0_2921,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_127,c_0_2186]),
[final] ).
cnf(c_0_2922,negated_conjecture,
( product(e_4,e_5,e_3)
| product(e_4,e_5,e_2)
| product(e_5,e_2,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2583,c_0_1876]),c_0_2089]),
[final] ).
cnf(c_0_2923,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_4,e_5,e_2)
| product(e_5,e_2,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2584,c_0_1876]),c_0_2585]),
[final] ).
cnf(c_0_2924,negated_conjecture,
( ~ next(e_3,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_2586,c_0_214]),
[final] ).
cnf(c_0_2925,negated_conjecture,
( ~ next(e_3,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_2587,c_0_138]),
[final] ).
cnf(c_0_2926,negated_conjecture,
( ~ next(e_3,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_2588,c_0_153]),
[final] ).
cnf(c_0_2927,negated_conjecture,
( ~ next(e_3,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_2589,c_0_89]),
[final] ).
cnf(c_0_2928,negated_conjecture,
( ~ next(e_2,X1)
| ~ next(X2,e_2)
| ~ cycle(X1,X2)
| product(e_2,e_5,e_1)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_74,c_0_2188]),
[final] ).
cnf(c_0_2929,negated_conjecture,
( ~ next(e_2,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_136,c_0_2188]),
[final] ).
cnf(c_0_2930,negated_conjecture,
( ~ next(e_2,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_127,c_0_2188]),
[final] ).
cnf(c_0_2931,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_4,e_5,e_2)
| product(e_5,e_2,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2590,c_0_1876]),c_0_2591]),
[final] ).
cnf(c_0_2932,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_3,e_5,e_4)
| product(e_5,e_2,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2592,c_0_1876]),c_0_2593]),
[final] ).
cnf(c_0_2933,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_3,e_1,e_4)
| product(e_1,e_4,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_278,c_0_2594]),c_0_2200]),
[final] ).
cnf(c_0_2934,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_3,e_1,e_4)
| product(e_1,e_4,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_278,c_0_2595]),c_0_2379]),
[final] ).
cnf(c_0_2935,negated_conjecture,
( product(e_4,e_5,e_3)
| product(e_3,e_5,e_1)
| product(e_5,e_2,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2596,c_0_1876]),c_0_1890]),
[final] ).
cnf(c_0_2936,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_5,e_1)
| product(e_5,e_2,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2597,c_0_1876]),c_0_1649]),
[final] ).
cnf(c_0_2937,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_3,e_5,e_1)
| product(e_5,e_2,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2598,c_0_1876]),c_0_1998]),
[final] ).
cnf(c_0_2938,negated_conjecture,
( product(e_4,e_5,e_3)
| product(e_2,e_4,e_1)
| product(e_5,e_2,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2599,c_0_1876]),c_0_2600]),
[final] ).
cnf(c_0_2939,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_2,e_4,e_1)
| product(e_5,e_2,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2601,c_0_1876]),c_0_2602]),
[final] ).
cnf(c_0_2940,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_2,e_4,e_1)
| product(e_5,e_2,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2603,c_0_1876]),c_0_2414]),
[final] ).
cnf(c_0_2941,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_2,e_4,e_1)
| product(e_5,e_2,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2604,c_0_1876]),c_0_2005]),
[final] ).
cnf(c_0_2942,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_1,e_3,e_4)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_2605,c_0_1736]),
[final] ).
cnf(c_0_2943,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_1,e_3,e_4)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_2605,c_0_1774]),
[final] ).
cnf(c_0_2944,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_2,e_4,e_1)
| product(e_5,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_2606,c_0_2574]),
[final] ).
cnf(c_0_2945,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_2,e_4,e_1)
| product(e_5,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_2607,c_0_2574]),
[final] ).
cnf(c_0_2946,negated_conjecture,
( ~ product(e_4,e_5,e_2)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_4)
| product(e_1,e_5,e_5) ),
inference(spm,[status(thm)],[c_0_308,c_0_2608]),
[final] ).
cnf(c_0_2947,negated_conjecture,
( ~ product(X1,e_1,e_5)
| product(e_5,X1,e_2)
| product(e_3,e_1,e_4)
| product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_2609,c_0_2392]),
[final] ).
cnf(c_0_2948,negated_conjecture,
( ~ product(X1,e_5,e_4)
| ~ product(e_5,e_2,e_3)
| product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_105,c_0_1944]),
[final] ).
cnf(c_0_2949,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_3,e_5,e_4)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_2240,c_0_2610]),
[final] ).
cnf(c_0_2950,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_3,e_1,e_4)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_2240,c_0_2037]),
[final] ).
cnf(c_0_2951,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_2240,c_0_2077]),
[final] ).
cnf(c_0_2952,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_2240,c_0_2611]),
[final] ).
cnf(c_0_2953,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_2240,c_0_2078]),
[final] ).
cnf(c_0_2954,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_2612,c_0_1101]),
[final] ).
cnf(c_0_2955,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_5,e_2,e_3)
| product(e_4,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1844,c_0_2227]),
[final] ).
cnf(c_0_2956,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_5,e_2,e_3)
| product(e_4,e_5,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_986,c_0_2227]),c_0_1454]),
[final] ).
cnf(c_0_2957,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_5,e_2,e_3)
| product(e_4,e_5,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1211,c_0_2227]),c_0_1454]),
[final] ).
cnf(c_0_2958,negated_conjecture,
( product(e_1,e_2,e_5)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_782,c_0_2414]),
[final] ).
cnf(c_0_2959,negated_conjecture,
( ~ product(X1,e_1,e_5)
| product(e_5,X1,e_2)
| product(e_2,e_4,e_1)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_2609,c_0_2394]),
[final] ).
cnf(c_0_2960,negated_conjecture,
( ~ product(X1,e_3,e_1)
| ~ product(e_3,e_5,e_2)
| product(e_1,X1,e_4) ),
inference(spm,[status(thm)],[c_0_105,c_0_2069]),
[final] ).
cnf(c_0_2961,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_5,e_3,e_4)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_1571,c_0_2071]),
[final] ).
cnf(c_0_2962,negated_conjecture,
( ~ product(X1,e_5,e_2)
| ~ product(e_2,e_5,e_1)
| product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_105,c_0_2613]),
[final] ).
cnf(c_0_2963,negated_conjecture,
( ~ product(X1,e_1,e_5)
| ~ product(e_2,e_5,e_1)
| product(e_5,X1,e_2) ),
inference(spm,[status(thm)],[c_0_105,c_0_1780]),
[final] ).
cnf(c_0_2964,negated_conjecture,
( ~ product(e_1,e_5,e_2)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_413,c_0_2614]),
[final] ).
cnf(c_0_2965,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_1,e_5,e_2) ),
inference(sr,[status(thm)],[c_0_1689,c_0_1854]),
[final] ).
cnf(c_0_2966,negated_conjecture,
( ~ product(e_3,e_5,e_1)
| product(e_4,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1573,c_0_2615]),c_0_778]),
[final] ).
cnf(c_0_2967,negated_conjecture,
( ~ product(X1,e_1,e_4)
| ~ product(e_4,e_5,e_2)
| product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_105,c_0_2608]),
[final] ).
cnf(c_0_2968,negated_conjecture,
( ~ product(X1,e_5,e_4)
| ~ product(e_4,e_5,e_2)
| product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_105,c_0_2616]),
[final] ).
cnf(c_0_2969,negated_conjecture,
( ~ product(e_4,e_2,e_1)
| ~ product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_413,c_0_2332]),
[final] ).
cnf(c_0_2970,negated_conjecture,
( ~ product(X1,e_5,e_2)
| product(e_2,X1,e_3)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_105,c_0_2617]),
[final] ).
cnf(c_0_2971,negated_conjecture,
( ~ product(X1,e_5,e_4)
| ~ product(e_2,e_5,e_1)
| product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_105,c_0_1749]),
[final] ).
cnf(c_0_2972,negated_conjecture,
( ~ product(e_3,e_2,e_4)
| ~ product(e_1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_413,c_0_2618]),
[final] ).
cnf(c_0_2973,negated_conjecture,
( ~ product(e_2,e_4,e_1)
| ~ product(e_1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_413,c_0_2619]),
[final] ).
cnf(c_0_2974,negated_conjecture,
( ~ product(X1,e_4,e_5)
| ~ product(e_2,e_5,e_1)
| product(e_5,X1,e_3) ),
inference(spm,[status(thm)],[c_0_105,c_0_1766]),
[final] ).
cnf(c_0_2975,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_304,c_0_2620]),
[final] ).
cnf(c_0_2976,negated_conjecture,
( product(e_4,e_5,e_3)
| product(e_1,e_5,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1704,c_0_2621]),c_0_997]),
[final] ).
cnf(c_0_2977,negated_conjecture,
( product(e_4,e_3,e_2)
| product(e_1,e_5,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2622,c_0_2623]),c_0_997]),
[final] ).
cnf(c_0_2978,negated_conjecture,
( ~ product(e_2,e_3,e_5)
| product(e_5,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_2624,c_0_2112]),
[final] ).
cnf(c_0_2979,negated_conjecture,
( ~ product(X1,e_3,e_4)
| product(e_4,X1,e_1)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_2625,c_0_2071]),
[final] ).
cnf(c_0_2980,negated_conjecture,
( ~ product(X1,e_4,e_3)
| product(e_3,X1,e_2)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_105,c_0_2067]),
[final] ).
cnf(c_0_2981,negated_conjecture,
( ~ product(e_4,e_3,e_2)
| product(e_3,e_1,e_4)
| product(e_5,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_348,c_0_2626]),
[final] ).
cnf(c_0_2982,negated_conjecture,
( ~ product(e_4,e_3,e_2)
| product(e_3,e_5,e_2)
| product(e_5,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_348,c_0_2627]),
[final] ).
cnf(c_0_2983,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_3,e_1,e_4)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_2628,c_0_2067]),
[final] ).
cnf(c_0_2984,negated_conjecture,
( ~ product(e_4,e_3,e_2)
| product(e_2,e_3,e_1)
| product(e_5,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_348,c_0_2541]),
[final] ).
cnf(c_0_2985,negated_conjecture,
( ~ product(e_4,e_3,e_2)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_348,c_0_2078]),
[final] ).
cnf(c_0_2986,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_2629,c_0_2252]),
[final] ).
cnf(c_0_2987,negated_conjecture,
( ~ product(e_1,e_5,e_2)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_413,c_0_2630]),
[final] ).
cnf(c_0_2988,negated_conjecture,
( ~ product(X1,e_1,e_2)
| ~ product(e_3,e_2,e_5)
| product(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_105,c_0_2019]),
[final] ).
cnf(c_0_2989,negated_conjecture,
( ~ product(e_1,e_3,e_4)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_256,c_0_2574]),
[final] ).
cnf(c_0_2990,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_1,e_2,e_4) ),
inference(sr,[status(thm)],[c_0_1924,c_0_1913]),
[final] ).
cnf(c_0_2991,negated_conjecture,
( ~ product(X1,e_1,e_5)
| ~ product(e_1,e_2,e_5)
| product(e_5,X1,e_3) ),
inference(spm,[status(thm)],[c_0_105,c_0_2456]),
[final] ).
cnf(c_0_2992,negated_conjecture,
( ~ product(e_2,e_3,e_5)
| product(e_1,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_782,c_0_2631]),
[final] ).
cnf(c_0_2993,negated_conjecture,
( ~ product(e_2,e_4,e_1)
| product(e_5,e_3,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2632,c_0_2008]),c_0_2009]),
[final] ).
cnf(c_0_2994,negated_conjecture,
( ~ product(e_4,e_2,e_1)
| ~ product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_278,c_0_2440]),
[final] ).
cnf(c_0_2995,negated_conjecture,
( product(e_5,e_4,e_3)
| product(e_1,e_3,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2633,c_0_2634]),c_0_1739]),
[final] ).
cnf(c_0_2996,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_1,e_5,e_3) ),
inference(sr,[status(thm)],[c_0_2050,c_0_1913]),
[final] ).
cnf(c_0_2997,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_1,e_5,e_3) ),
inference(sr,[status(thm)],[c_0_2052,c_0_1913]),
[final] ).
cnf(c_0_2998,negated_conjecture,
( ~ product(e_2,e_3,e_5)
| product(e_5,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_2624,c_0_1929]),
[final] ).
cnf(c_0_2999,negated_conjecture,
( ~ product(e_5,e_4,e_2)
| ~ product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_2624,c_0_1709]),
[final] ).
cnf(c_0_3000,negated_conjecture,
( ~ product(X1,e_4,e_5)
| ~ product(e_3,e_2,e_4)
| product(e_5,X1,e_2) ),
inference(spm,[status(thm)],[c_0_105,c_0_1959]),
[final] ).
cnf(c_0_3001,negated_conjecture,
( ~ product(e_5,e_3,e_4)
| product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_1841,c_0_1993]),
[final] ).
cnf(c_0_3002,negated_conjecture,
( ~ product(X1,e_1,e_3)
| ~ product(e_1,e_2,e_5)
| product(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_105,c_0_1825]),
[final] ).
cnf(c_0_3003,negated_conjecture,
( product(e_1,e_5,e_3)
| product(e_5,e_4,e_2) ),
inference(sr,[status(thm)],[c_0_2635,c_0_1854]),
[final] ).
cnf(c_0_3004,negated_conjecture,
( ~ product(X1,e_1,e_5)
| ~ product(e_1,e_4,e_3)
| product(e_5,X1,e_2) ),
inference(spm,[status(thm)],[c_0_105,c_0_2113]),
[final] ).
cnf(c_0_3005,negated_conjecture,
( ~ product(X1,e_5,e_3)
| ~ product(e_3,e_2,e_4)
| product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_105,c_0_2636]),
[final] ).
cnf(c_0_3006,negated_conjecture,
( ~ product(X1,e_5,e_1)
| ~ product(e_3,e_2,e_4)
| product(e_1,X1,e_4) ),
inference(spm,[status(thm)],[c_0_105,c_0_1943]),
[final] ).
cnf(c_0_3008,negated_conjecture,
( ~ product(X1,e_1,e_4)
| ~ product(e_3,e_2,e_4)
| product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_1901,c_0_2638]),
[final] ).
cnf(c_0_3009,negated_conjecture,
( ~ product(X1,e_5,e_4)
| ~ product(e_3,e_2,e_4)
| product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_105,c_0_2638]),
[final] ).
cnf(c_0_3010,negated_conjecture,
( ~ product(X1,e_4,e_2)
| product(e_2,X1,e_3)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_105,c_0_2639]),
[final] ).
cnf(c_0_3011,negated_conjecture,
( ~ product(e_1,e_5,e_2)
| product(e_4,e_3,e_2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_259,c_0_2324]),c_0_413]),c_0_356]),
[final] ).
cnf(c_0_3012,negated_conjecture,
( ~ product(e_1,e_5,e_2)
| product(e_3,e_2,e_5) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_259,c_0_1638]),c_0_356]),c_0_413]),
[final] ).
cnf(c_0_3015,negated_conjecture,
( ~ product(e_4,e_5,e_3)
| ~ product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_304,c_0_1894]),
[final] ).
cnf(c_0_3016,negated_conjecture,
( ~ product(e_1,e_5,e_2)
| product(e_4,e_5,e_3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_259,c_0_1681]),c_0_413]),c_0_356]),
[final] ).
cnf(c_0_3019,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_3,e_1,e_4)
| product(e_1,e_4,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_278,c_0_2644]),c_0_1629]),
[final] ).
cnf(c_0_3020,negated_conjecture,
( ~ next(e_1,X1)
| ~ greater(X4,X2)
| ~ greater(e_1,X3)
| ~ cycle(X3,X4)
| ~ cycle(X1,X2)
| cycle(e_1,e_4)
| product(e_3,e_5,e_4)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_93,c_0_2507]),
[final] ).
cnf(c_0_3021,negated_conjecture,
( ~ next(e_1,X1)
| ~ greater(X4,X2)
| ~ greater(e_1,X3)
| ~ cycle(X3,X4)
| ~ cycle(X1,X2)
| cycle(e_1,e_4)
| product(e_3,e_5,e_4)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_93,c_0_2508]),
[final] ).
cnf(c_0_3022,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_2645,c_0_214]),
[final] ).
cnf(c_0_3023,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_2646,c_0_138]),
[final] ).
cnf(c_0_3024,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_2647,c_0_153]),
[final] ).
cnf(c_0_3025,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_2648,c_0_89]),
[final] ).
cnf(c_0_3026,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_74,c_0_2198]),
[final] ).
cnf(c_0_3027,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_136,c_0_2198]),
[final] ).
cnf(c_0_3028,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_127,c_0_2198]),
[final] ).
cnf(c_0_3029,negated_conjecture,
( ~ next(e_3,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_2649,c_0_214]),
[final] ).
cnf(c_0_3030,negated_conjecture,
( ~ next(e_3,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_2650,c_0_138]),
[final] ).
cnf(c_0_3031,negated_conjecture,
( ~ next(e_3,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_2651,c_0_153]),
[final] ).
cnf(c_0_3032,negated_conjecture,
( ~ next(e_3,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_2652,c_0_89]),
[final] ).
cnf(c_0_3033,negated_conjecture,
( ~ next(e_2,X1)
| ~ next(X2,e_2)
| ~ cycle(X1,X2)
| product(e_3,e_2,e_4)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_74,c_0_2199]),
[final] ).
cnf(c_0_3034,negated_conjecture,
( ~ next(e_2,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_136,c_0_2199]),
[final] ).
cnf(c_0_3035,negated_conjecture,
( ~ next(e_2,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_127,c_0_2199]),
[final] ).
cnf(c_0_3036,negated_conjecture,
( ~ product(e_2,e_5,e_1)
| product(e_1,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_782,c_0_2653]),
[final] ).
cnf(c_0_3037,negated_conjecture,
( ~ product(e_2,e_3,e_4)
| product(e_1,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_782,c_0_2020]),
[final] ).
cnf(c_0_3038,negated_conjecture,
( product(e_5,e_2,e_3)
| product(e_3,e_1,e_4)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1921,c_0_2654]),
[final] ).
cnf(c_0_3039,negated_conjecture,
( product(e_5,e_2,e_3)
| product(e_3,e_1,e_4)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_1921,c_0_2655]),
[final] ).
cnf(c_0_3040,negated_conjecture,
( product(e_5,e_2,e_3)
| product(e_3,e_1,e_4)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_1921,c_0_2656]),
[final] ).
cnf(c_0_3043,negated_conjecture,
( ~ product(e_1,e_4,e_2)
| product(e_3,e_1,e_4)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_304,c_0_2405]),
[final] ).
cnf(c_0_3044,negated_conjecture,
( ~ product(e_1,e_4,e_2)
| product(e_3,e_1,e_4)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_304,c_0_2406]),
[final] ).
cnf(c_0_3045,plain,
( ~ product(e_4,e_2,e_1)
| product(e_5,e_2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_348,c_0_1927]),c_0_2658]),
[final] ).
cnf(c_0_3046,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_3,e_5,e_4)
| product(e_5,e_2,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2659,c_0_1876]),c_0_2243]),
[final] ).
cnf(c_0_3047,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_3,e_5,e_4)
| product(e_5,e_2,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2660,c_0_1876]),c_0_2661]),
[final] ).
cnf(c_0_3048,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_3,e_5,e_4)
| product(e_5,e_2,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2662,c_0_1876]),c_0_2450]),
[final] ).
cnf(c_0_3049,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_3,e_5,e_4)
| product(e_5,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_2663,c_0_1231]),
[final] ).
cnf(c_0_3050,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_2,e_3,e_1)
| product(e_1,e_4,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_278,c_0_2664]),c_0_2200]),
[final] ).
cnf(c_0_3051,negated_conjecture,
( ~ next(e_1,X1)
| ~ greater(X4,X2)
| ~ greater(e_1,X3)
| ~ cycle(X3,X4)
| ~ cycle(X1,X2)
| cycle(e_1,e_4)
| product(e_3,e_5,e_4)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_93,c_0_2509]),
[final] ).
cnf(c_0_3052,negated_conjecture,
( ~ next(e_3,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_2665,c_0_214]),
[final] ).
cnf(c_0_3053,negated_conjecture,
( ~ next(e_3,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_2666,c_0_138]),
[final] ).
cnf(c_0_3054,negated_conjecture,
( ~ next(e_3,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_2667,c_0_153]),
[final] ).
cnf(c_0_3055,negated_conjecture,
( ~ next(e_3,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_2668,c_0_89]),
[final] ).
cnf(c_0_3056,negated_conjecture,
( ~ next(e_2,X1)
| ~ next(X2,e_2)
| ~ cycle(X1,X2)
| product(e_3,e_4,e_5)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_74,c_0_2202]),
[final] ).
cnf(c_0_3057,negated_conjecture,
( ~ next(e_2,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_136,c_0_2202]),
[final] ).
cnf(c_0_3058,negated_conjecture,
( ~ next(e_2,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_127,c_0_2202]),
[final] ).
cnf(c_0_3059,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_304,c_0_2436]),
[final] ).
cnf(c_0_3060,negated_conjecture,
( ~ next(e_1,X1)
| ~ greater(X4,X2)
| ~ greater(e_1,X3)
| ~ cycle(X3,X4)
| ~ cycle(X1,X2)
| cycle(e_1,e_4)
| product(e_2,e_5,e_1)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_93,c_0_2510]),
[final] ).
cnf(c_0_3061,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_2669,c_0_214]),
[final] ).
cnf(c_0_3062,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_2670,c_0_138]),
[final] ).
cnf(c_0_3063,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_2671,c_0_153]),
[final] ).
cnf(c_0_3064,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_2672,c_0_89]),
[final] ).
cnf(c_0_3065,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_74,c_0_2203]),
[final] ).
cnf(c_0_3066,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_136,c_0_2203]),
[final] ).
cnf(c_0_3067,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_127,c_0_2203]),
[final] ).
cnf(c_0_3068,negated_conjecture,
( ~ next(e_1,X1)
| ~ greater(X4,X2)
| ~ greater(e_1,X3)
| ~ cycle(X3,X4)
| ~ cycle(X1,X2)
| cycle(e_1,e_4)
| product(e_2,e_3,e_4)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_93,c_0_2511]),
[final] ).
cnf(c_0_3069,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_2673,c_0_214]),
[final] ).
cnf(c_0_3070,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_2674,c_0_138]),
[final] ).
cnf(c_0_3071,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_2675,c_0_153]),
[final] ).
cnf(c_0_3072,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_2676,c_0_89]),
[final] ).
cnf(c_0_3073,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_74,c_0_2204]),
[final] ).
cnf(c_0_3074,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_136,c_0_2204]),
[final] ).
cnf(c_0_3075,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_127,c_0_2204]),
[final] ).
cnf(c_0_3076,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_5,e_2,e_3)
| product(e_2,e_3,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_333,c_0_2677]),c_0_1656]),
[final] ).
cnf(c_0_3077,negated_conjecture,
( ~ next(e_1,X1)
| ~ greater(X4,X2)
| ~ greater(e_1,X3)
| ~ cycle(X3,X4)
| ~ cycle(X1,X2)
| cycle(e_1,e_4)
| product(e_3,e_5,e_4)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_93,c_0_2512]),
[final] ).
cnf(c_0_3078,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_3,e_5,e_2)
| product(e_1,e_4,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_278,c_0_2678]),c_0_2200]),
[final] ).
cnf(c_0_3079,negated_conjecture,
( ~ next(e_3,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_2679,c_0_214]),
[final] ).
cnf(c_0_3080,negated_conjecture,
( ~ next(e_3,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_2680,c_0_138]),
[final] ).
cnf(c_0_3081,negated_conjecture,
( ~ next(e_3,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_2681,c_0_153]),
[final] ).
cnf(c_0_3082,negated_conjecture,
( ~ next(e_3,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_2682,c_0_89]),
[final] ).
cnf(c_0_3083,negated_conjecture,
( ~ next(e_2,X1)
| ~ next(X2,e_2)
| ~ cycle(X1,X2)
| product(e_2,e_3,e_5)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_74,c_0_2205]),
[final] ).
cnf(c_0_3084,negated_conjecture,
( ~ next(e_2,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_136,c_0_2205]),
[final] ).
cnf(c_0_3085,negated_conjecture,
( ~ next(e_2,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_127,c_0_2205]),
[final] ).
cnf(c_0_3086,negated_conjecture,
( product(e_5,e_3,e_2)
| product(e_5,e_3,e_4)
| product(e_1,e_4,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_278,c_0_2683]),c_0_1975]),
[final] ).
cnf(c_0_3087,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_5,e_3,e_2)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_1786,c_0_1948]),
[final] ).
cnf(c_0_3090,negated_conjecture,
( ~ product(e_4,e_2,e_3)
| product(e_2,e_3,e_5)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_511,c_0_1420]),
[final] ).
cnf(c_0_3091,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_278,c_0_2685]),c_0_2379]),
[final] ).
cnf(c_0_3092,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_2,e_3,e_1)
| product(e_1,e_4,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_278,c_0_2686]),c_0_1629]),
[final] ).
cnf(c_0_3093,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_2,e_3,e_1)
| product(e_5,e_2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_333,c_0_2687]),c_0_1526]),
[final] ).
cnf(c_0_3094,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_2,e_3,e_1)
| product(e_5,e_2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_333,c_0_2688]),c_0_887]),
[final] ).
cnf(c_0_3095,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_2,e_3,e_1)
| product(e_1,e_4,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_278,c_0_2689]),c_0_2379]),
[final] ).
cnf(c_0_3096,negated_conjecture,
( ~ product(e_1,e_4,e_2)
| product(e_2,e_3,e_1)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_304,c_0_1957]),
[final] ).
cnf(c_0_3097,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_3,e_5,e_2)
| product(e_1,e_4,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_278,c_0_2690]),c_0_1629]),
[final] ).
cnf(c_0_3098,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_3,e_4,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1688,c_0_2452]),c_0_1891]),
[final] ).
cnf(c_0_3099,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_304,c_0_2452]),
[final] ).
cnf(c_0_3100,negated_conjecture,
( ~ product(e_1,e_4,e_2)
| product(e_2,e_3,e_1)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_304,c_0_2454]),
[final] ).
cnf(c_0_3101,negated_conjecture,
( ~ product(e_4,e_2,e_1)
| ~ product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_304,c_0_2691]),
[final] ).
cnf(c_0_3102,negated_conjecture,
( ~ product(e_1,e_2,e_5)
| ~ product(e_1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_413,c_0_2456]),
[final] ).
cnf(c_0_3103,negated_conjecture,
( product(e_4,e_5,e_3)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_2289,c_0_1560]),
[final] ).
cnf(c_0_3104,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_5,e_3,e_2)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1818,c_0_1974]),
[final] ).
cnf(c_0_3105,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_4,e_5,e_2)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_1918,c_0_1804]),
[final] ).
cnf(c_0_3106,negated_conjecture,
( ~ product(e_1,e_2,e_5)
| product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_2692,c_0_1486]),
[final] ).
cnf(c_0_3107,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_2693,c_0_1656]),
[final] ).
cnf(c_0_3108,negated_conjecture,
( product(e_4,e_2,e_3)
| product(e_1,e_5,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_304,c_0_2694]),c_0_1523]),
[final] ).
cnf(c_0_3109,negated_conjecture,
( ~ product(X1,e_4,e_2)
| ~ product(e_3,e_2,e_4)
| product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_105,c_0_2695]),
[final] ).
cnf(c_0_3110,negated_conjecture,
( ~ product(e_2,e_5,e_1)
| product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_1688,c_0_1780]),
[final] ).
cnf(c_0_3111,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_3,e_5,e_2)
| product(e_5,e_2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_333,c_0_2696]),c_0_1526]),
[final] ).
cnf(c_0_3112,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_3,e_5,e_2)
| product(e_5,e_2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_333,c_0_2697]),c_0_1656]),
[final] ).
cnf(c_0_3113,negated_conjecture,
( ~ product(e_2,e_5,e_1)
| ~ product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_304,c_0_1780]),
[final] ).
cnf(c_0_3114,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_2,e_3,e_4)
| product(e_5,e_2,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2698,c_0_1876]),c_0_1862]),
[final] ).
cnf(c_0_3115,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_2,e_5,e_1)
| product(e_5,e_2,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2699,c_0_1876]),c_0_2180]),
[final] ).
cnf(c_0_3116,negated_conjecture,
( ~ next(e_1,X1)
| ~ greater(X4,X2)
| ~ greater(e_1,X3)
| ~ cycle(X3,X4)
| ~ cycle(X1,X2)
| cycle(e_1,e_4)
| product(e_3,e_4,e_5)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_93,c_0_2513]),
[final] ).
cnf(c_0_3117,negated_conjecture,
( ~ next(e_1,X1)
| ~ greater(X4,X2)
| ~ greater(e_1,X3)
| ~ cycle(X3,X4)
| ~ cycle(X1,X2)
| cycle(e_1,e_4)
| product(e_3,e_4,e_5)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_93,c_0_2514]),
[final] ).
cnf(c_0_3118,negated_conjecture,
( ~ next(e_3,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_2700,c_0_214]),
[final] ).
cnf(c_0_3119,negated_conjecture,
( ~ next(e_3,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_2701,c_0_138]),
[final] ).
cnf(c_0_3120,negated_conjecture,
( ~ next(e_3,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_2702,c_0_153]),
[final] ).
cnf(c_0_3121,negated_conjecture,
( ~ next(e_3,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_2703,c_0_89]),
[final] ).
cnf(c_0_3122,negated_conjecture,
( ~ next(e_2,X1)
| ~ next(X2,e_2)
| ~ cycle(X1,X2)
| product(e_2,e_3,e_4)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_74,c_0_2212]),
[final] ).
cnf(c_0_3123,negated_conjecture,
( ~ next(e_2,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_136,c_0_2212]),
[final] ).
cnf(c_0_3124,negated_conjecture,
( ~ next(e_2,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_127,c_0_2212]),
[final] ).
cnf(c_0_3125,negated_conjecture,
( ~ next(e_3,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_2704,c_0_214]),
[final] ).
cnf(c_0_3126,negated_conjecture,
( ~ next(e_3,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_2705,c_0_138]),
[final] ).
cnf(c_0_3127,negated_conjecture,
( ~ next(e_3,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_2706,c_0_153]),
[final] ).
cnf(c_0_3128,negated_conjecture,
( ~ next(e_3,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_2707,c_0_89]),
[final] ).
cnf(c_0_3129,negated_conjecture,
( ~ next(e_2,X1)
| ~ next(X2,e_2)
| ~ cycle(X1,X2)
| product(e_2,e_5,e_1)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_74,c_0_2213]),
[final] ).
cnf(c_0_3130,negated_conjecture,
( ~ next(e_2,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_136,c_0_2213]),
[final] ).
cnf(c_0_3131,negated_conjecture,
( ~ next(e_2,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_127,c_0_2213]),
[final] ).
cnf(c_0_3132,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_5,e_1)
| product(e_5,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2708,c_0_1963]),c_0_1098]),
[final] ).
cnf(c_0_3133,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_2,e_3,e_1)
| product(e_5,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2709,c_0_1974]),c_0_1098]),
[final] ).
cnf(c_0_3134,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_1,e_4,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_278,c_0_2710]),c_0_1715]),
[final] ).
cnf(c_0_3135,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_3,e_5,e_2)
| product(e_3,e_5,e_4) ),
inference(sr,[status(thm)],[c_0_1669,c_0_1676]),
[final] ).
cnf(c_0_3136,negated_conjecture,
( ~ product(e_2,e_5,e_1)
| product(e_4,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2622,c_0_1691]),c_0_1585]),
[final] ).
cnf(c_0_3137,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_2711,c_0_1435]),c_0_1504]),
[final] ).
cnf(c_0_3138,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_1579,c_0_1802]),c_0_1750]),
[final] ).
cnf(c_0_3139,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_1,e_2,e_4) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_2712,c_0_1533]),c_0_2713]),
[final] ).
cnf(c_0_3140,plain,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_3) ),
inference(sr,[status(thm)],[c_0_1238,c_0_1515]),
[final] ).
cnf(c_0_3141,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_4,e_3,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2714,c_0_1584]),c_0_2715]),
[final] ).
cnf(c_0_3142,negated_conjecture,
( ~ product(e_2,e_4,e_5)
| ~ product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_256,c_0_2462]),
[final] ).
cnf(c_0_3143,negated_conjecture,
( ~ product(X1,e_3,e_2)
| ~ product(e_2,e_4,e_5)
| product(e_2,X1,e_5) ),
inference(spm,[status(thm)],[c_0_105,c_0_2462]),
[final] ).
cnf(c_0_3144,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_5,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_2716,c_0_1455]),
[final] ).
cnf(c_0_3145,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_1,e_4,e_3)
| product(e_3,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1630,c_0_2717]),c_0_996]),
[final] ).
cnf(c_0_3146,negated_conjecture,
( ~ product(e_2,e_3,e_4)
| product(e_5,e_2,e_3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2718,c_0_1524]),c_0_2719]),c_0_2720]),c_0_2721]),
[final] ).
cnf(c_0_3147,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_3,e_1,e_4)
| product(e_5,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_2722,c_0_1231]),
[final] ).
cnf(c_0_3148,negated_conjecture,
( product(e_5,e_4,e_2)
| product(e_2,e_3,e_5)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_1952,c_0_2015]),
[final] ).
cnf(c_0_3149,negated_conjecture,
( ~ product(e_1,e_4,e_2)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_304,c_0_2350]),
[final] ).
cnf(c_0_3150,negated_conjecture,
( ~ product(e_2,e_3,e_1)
| ~ product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_356,c_0_2542]),
[final] ).
cnf(c_0_3151,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_4,e_5,e_3)
| product(e_5,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_2723,c_0_1231]),
[final] ).
cnf(c_0_3152,negated_conjecture,
( product(e_5,e_2,e_3)
| product(e_3,e_5,e_2)
| product(e_3,e_2,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2724,c_0_2725]),c_0_1202]),
[final] ).
cnf(c_0_3153,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_1,e_3,e_4) ),
inference(sr,[status(thm)],[c_0_2726,c_0_1392]),
[final] ).
cnf(c_0_3154,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_4,e_5,e_2) ),
inference(sr,[status(thm)],[c_0_2727,c_0_1392]),
[final] ).
cnf(c_0_3155,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_5,e_1,e_4) ),
inference(sr,[status(thm)],[c_0_2728,c_0_1392]),
[final] ).
cnf(c_0_3156,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_5,e_3,e_2) ),
inference(sr,[status(thm)],[c_0_2729,c_0_1392]),
[final] ).
cnf(c_0_3157,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_2,e_4,e_5) ),
inference(sr,[status(thm)],[c_0_2730,c_0_1392]),
[final] ).
cnf(c_0_3158,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_4,e_2,e_3) ),
inference(sr,[status(thm)],[c_0_2731,c_0_1392]),
[final] ).
cnf(c_0_3159,negated_conjecture,
( product(e_1,e_2,e_5)
| product(e_2,e_4,e_5) ),
inference(sr,[status(thm)],[c_0_2732,c_0_1392]),
[final] ).
cnf(c_0_3160,negated_conjecture,
( product(e_1,e_5,e_3)
| product(e_2,e_4,e_5) ),
inference(sr,[status(thm)],[c_0_2733,c_0_1392]),
[final] ).
cnf(c_0_3161,negated_conjecture,
( ~ next(e_1,X1)
| ~ greater(X4,X2)
| ~ greater(e_1,X3)
| ~ cycle(X3,X4)
| ~ cycle(X1,X2)
| cycle(e_1,e_4)
| product(e_2,e_5,e_1)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_93,c_0_2515]),
[final] ).
cnf(c_0_3162,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_2734,c_0_214]),
[final] ).
cnf(c_0_3163,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_2735,c_0_138]),
[final] ).
cnf(c_0_3164,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_2736,c_0_153]),
[final] ).
cnf(c_0_3165,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_2737,c_0_89]),
[final] ).
cnf(c_0_3166,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_74,c_0_2215]),
[final] ).
cnf(c_0_3167,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_136,c_0_2215]),
[final] ).
cnf(c_0_3168,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_127,c_0_2215]),
[final] ).
cnf(c_0_3169,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_2,e_5,e_1)
| product(e_5,e_2,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2738,c_0_1876]),c_0_1700]),
[final] ).
cnf(c_0_3170,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_1,e_4,e_3)
| product(e_3,e_5,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1630,c_0_2739]),c_0_996]),
[final] ).
cnf(c_0_3171,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_3,e_5,e_2)
| product(e_2,e_3,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_511,c_0_2740]),c_0_1040]),
[final] ).
cnf(c_0_3172,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_1,e_4,e_3)
| product(e_2,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1630,c_0_2741]),c_0_996]),
[final] ).
cnf(c_0_3173,negated_conjecture,
( product(e_5,e_3,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_1427,c_0_2742]),c_0_2743]),
[final] ).
cnf(c_0_3174,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_304,c_0_1407]),
[final] ).
cnf(c_0_3175,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_2,e_3,e_5)
| product(e_5,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_2744,c_0_1231]),
[final] ).
cnf(c_0_3176,negated_conjecture,
( ~ product(X1,e_5,e_4)
| ~ product(e_3,e_5,e_2)
| product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_105,c_0_2216]),
[final] ).
cnf(c_0_3177,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_5)
| product(e_5,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_2745,c_0_1231]),
[final] ).
cnf(c_0_3178,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_5,e_2,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2746,c_0_1231]),c_0_1588]),
[final] ).
cnf(c_0_3179,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_2,e_4)
| product(e_5,e_2,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2747,c_0_1876]),c_0_1101]),
[final] ).
cnf(c_0_3180,negated_conjecture,
( ~ product(e_2,e_3,e_1)
| product(e_4,e_3,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2748,c_0_1305]),c_0_312]),
[final] ).
cnf(c_0_3181,negated_conjecture,
( ~ next(e_1,X1)
| ~ greater(X4,X2)
| ~ greater(e_1,X3)
| ~ cycle(X3,X4)
| ~ cycle(X1,X2)
| cycle(e_1,e_4)
| product(e_2,e_5,e_1)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_93,c_0_2516]),
[final] ).
cnf(c_0_3182,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_2749,c_0_214]),
[final] ).
cnf(c_0_3183,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_2750,c_0_138]),
[final] ).
cnf(c_0_3184,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_2751,c_0_153]),
[final] ).
cnf(c_0_3185,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_2752,c_0_89]),
[final] ).
cnf(c_0_3186,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_74,c_0_2219]),
[final] ).
cnf(c_0_3187,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_136,c_0_2219]),
[final] ).
cnf(c_0_3188,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_127,c_0_2219]),
[final] ).
cnf(c_0_3189,negated_conjecture,
( product(e_5,e_4,e_2)
| product(e_2,e_3,e_5)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_2753,c_0_1407]),
[final] ).
cnf(c_0_3190,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_3,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2754,c_0_1059]),c_0_1588]),
[final] ).
cnf(c_0_3191,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_1,e_2,e_4) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2755,c_0_880]),c_0_1274]),c_0_2756]),
[final] ).
cnf(c_0_3192,negated_conjecture,
( ~ next(e_5,X1)
| ~ cycle(X1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_2757,c_0_212]),
[final] ).
cnf(c_0_3193,negated_conjecture,
( ~ next(e_5,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_2757,c_0_68]),
[final] ).
cnf(c_0_3194,negated_conjecture,
( ~ next(e_5,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_2757,c_0_608]),
[final] ).
cnf(c_0_3195,negated_conjecture,
( ~ next(e_5,X1)
| ~ cycle(X1,e_1)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_2758,c_0_2759]),
[final] ).
cnf(c_0_3196,negated_conjecture,
( ~ next(e_5,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_2758,c_0_113]),
[final] ).
cnf(c_0_3197,negated_conjecture,
( ~ next(e_5,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_2760,c_0_608]),
[final] ).
cnf(c_0_3198,negated_conjecture,
( ~ next(e_3,X1)
| ~ cycle(X1,e_0)
| cycle(e_1,e_0)
| cycle(e_1,e_2)
| cycle(e_1,e_3)
| cycle(e_1,e_4)
| cycle(e_3,e_2) ),
inference(spm,[status(thm)],[c_0_2761,c_0_64]),
[final] ).
cnf(c_0_3200,negated_conjecture,
( ~ next(e_5,X1)
| ~ greater(e_2,X2)
| ~ cycle(X1,X2)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_2479,c_0_2764]),
[final] ).
cnf(c_0_3201,negated_conjecture,
( ~ next(e_3,X1)
| ~ next(X2,e_1)
| ~ cycle(X1,X2)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_206,c_0_2764]),
[final] ).
cnf(c_0_3202,negated_conjecture,
( ~ next(e_3,X1)
| ~ next(X2,e_3)
| ~ cycle(X1,X2)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_144,c_0_2764]),
[final] ).
cnf(c_0_3203,negated_conjecture,
( ~ next(e_3,X1)
| ~ next(X2,e_4)
| ~ cycle(X1,X2)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_135,c_0_2764]),
[final] ).
cnf(c_0_3204,negated_conjecture,
( ~ next(e_3,X1)
| ~ next(X2,e_5)
| ~ cycle(X1,X2)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_126,c_0_2764]),
[final] ).
cnf(c_0_3205,negated_conjecture,
( ~ next(e_1,X1)
| ~ greater(X4,X2)
| ~ greater(e_1,X3)
| ~ cycle(X3,X4)
| ~ cycle(X1,X2)
| cycle(e_1,e_4)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_93,c_0_2527]),
[final] ).
cnf(c_0_3209,negated_conjecture,
( ~ next(e_5,X1)
| ~ greater(e_3,X2)
| ~ cycle(X1,X2)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_2374,c_0_2372]),
[final] ).
cnf(c_0_3210,negated_conjecture,
( ~ next(e_2,X1)
| ~ next(X2,e_1)
| ~ cycle(X1,X2)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_205,c_0_2372]),
[final] ).
cnf(c_0_3211,negated_conjecture,
( ~ next(e_5,X1)
| ~ cycle(X1,e_0)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_2766,c_0_113]),
[final] ).
cnf(c_0_3212,negated_conjecture,
( ~ next(e_3,X1)
| ~ cycle(X1,e_3)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_2767,c_0_89]),
[final] ).
cnf(c_0_3213,negated_conjecture,
( ~ next(e_5,X1)
| ~ cycle(X1,e_2)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_2768,c_0_608]),
[final] ).
cnf(c_0_3214,negated_conjecture,
( ~ next(e_3,X1)
| ~ cycle(X1,e_2)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_2769,c_0_153]),
[final] ).
cnf(c_0_3215,negated_conjecture,
( ~ 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_206,c_0_2040]),
[final] ).
cnf(c_0_3216,negated_conjecture,
( ~ 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_144,c_0_2040]),
[final] ).
cnf(c_0_3217,negated_conjecture,
( ~ next(e_1,X1)
| ~ greater(X4,X2)
| ~ greater(e_1,X3)
| ~ cycle(X3,X4)
| ~ cycle(X1,X2)
| cycle(e_1,e_4)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_93,c_0_2517]),
[final] ).
cnf(c_0_3218,negated_conjecture,
( ~ next(e_3,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_2770,c_0_214]),
[final] ).
cnf(c_0_3219,negated_conjecture,
( ~ next(e_3,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_2771,c_0_138]),
[final] ).
cnf(c_0_3220,negated_conjecture,
( ~ next(e_3,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_2772,c_0_153]),
[final] ).
cnf(c_0_3221,negated_conjecture,
( ~ next(e_3,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_2773,c_0_89]),
[final] ).
cnf(c_0_3222,negated_conjecture,
( ~ next(e_2,X1)
| ~ next(X2,e_2)
| ~ cycle(X1,X2)
| product(e_2,e_3,e_4)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_74,c_0_2220]),
[final] ).
cnf(c_0_3223,negated_conjecture,
( ~ next(e_2,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_136,c_0_2220]),
[final] ).
cnf(c_0_3224,negated_conjecture,
( ~ next(e_2,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_127,c_0_2220]),
[final] ).
cnf(c_0_3225,negated_conjecture,
( ~ 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_135,c_0_2040]),
[final] ).
cnf(c_0_3226,negated_conjecture,
( ~ 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_126,c_0_2040]),
[final] ).
cnf(c_0_3227,negated_conjecture,
( ~ next(e_1,X1)
| ~ greater(X4,X2)
| ~ greater(e_1,X3)
| ~ cycle(X3,X4)
| ~ cycle(X1,X2)
| cycle(e_1,e_4)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_93,c_0_2518]),
[final] ).
cnf(c_0_3228,negated_conjecture,
( product(e_5,e_1,e_2)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5) ),
inference(sr,[status(thm)],[c_0_2774,c_0_842]),
[final] ).
cnf(c_0_3229,negated_conjecture,
( product(e_5,e_2,e_1)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5) ),
inference(sr,[status(thm)],[c_0_625,c_0_842]),
[final] ).
cnf(c_0_3230,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5) ),
inference(sr,[status(thm)],[c_0_616,c_0_842]),
[final] ).
cnf(c_0_3231,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_2,e_3,e_5)
| product(e_3,e_5,e_2) ),
inference(sr,[status(thm)],[c_0_534,c_0_842]),
[final] ).
cnf(c_0_3232,plain,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_1) ),
inference(sr,[status(thm)],[c_0_508,c_0_842]),
[final] ).
cnf(c_0_3233,negated_conjecture,
( ~ next(e_2,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_2775,c_0_214]),
[final] ).
cnf(c_0_3234,negated_conjecture,
( ~ next(e_2,X1)
| ~ next(X2,e_2)
| ~ cycle(X1,X2)
| product(e_2,e_3,e_5)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_74,c_0_2481]),
[final] ).
cnf(c_0_3235,negated_conjecture,
( ~ next(e_2,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_136,c_0_2481]),
[final] ).
cnf(c_0_3236,negated_conjecture,
( ~ next(e_2,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_127,c_0_2481]),
[final] ).
cnf(c_0_3237,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_2776,c_0_214]),
[final] ).
cnf(c_0_3238,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_144,c_0_2480]),
[final] ).
cnf(c_0_3239,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_135,c_0_2480]),
[final] ).
cnf(c_0_3240,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_126,c_0_2480]),
[final] ).
cnf(c_0_3245,plain,
( ~ next(e_5,X1)
| ~ cycle(X1,e_0)
| cycle(e_1,e_0)
| cycle(e_1,e_2)
| cycle(e_1,e_3)
| cycle(e_1,e_4) ),
inference(spm,[status(thm)],[c_0_2781,c_0_64]),
[final] ).
cnf(c_0_3250,negated_conjecture,
( ~ 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_2364,c_0_2040]),c_0_113]),c_0_89])]),
[final] ).
cnf(c_0_3256,negated_conjecture,
( ~ 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_2785,c_0_140]),c_0_113])]),
[final] ).
cnf(c_0_3257,negated_conjecture,
( ~ 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_2362,c_0_608]),
[final] ).
cnf(c_0_3280,negated_conjecture,
( ~ next(e_5,X1)
| ~ cycle(X1,e_1)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_2766,c_0_2759]),
[final] ).
cnf(c_0_3281,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_2792,c_0_64]),
[final] ).
cnf(c_0_3283,plain,
( ~ next(e_3,X1)
| ~ cycle(X1,e_0)
| 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_2793,c_0_64]),
[final] ).
cnf(c_0_3284,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_2794,c_0_64]),
[final] ).
cnf(c_0_3291,plain,
( ~ next(e_1,X1)
| ~ greater(X4,X2)
| ~ greater(e_1,X3)
| ~ cycle(X3,X4)
| ~ cycle(X1,X2)
| cycle(e_1,e_4)
| cycle(e_1,e_3)
| cycle(e_1,e_2)
| product(e_1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_93,c_0_187]),
[final] ).
cnf(c_0_3292,plain,
( ~ next(e_1,X1)
| ~ greater(X4,X2)
| ~ greater(e_1,X3)
| ~ cycle(X3,X4)
| ~ cycle(X1,X2)
| cycle(e_2,e_0)
| cycle(e_2,e_2)
| cycle(e_2,e_3)
| cycle(e_2,e_4)
| cycle(e_1,e_2) ),
inference(spm,[status(thm)],[c_0_93,c_0_2499]),
[final] ).
cnf(c_0_3293,plain,
( ~ next(e_1,X1)
| ~ cycle(X1,e_4)
| cycle(e_1,e_0) ),
inference(spm,[status(thm)],[c_0_2798,c_0_138]),
[final] ).
cnf(c_0_3294,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_2799,c_0_81]),
[final] ).
cnf(c_0_3295,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_2800,c_0_81]),
[final] ).
cnf(c_0_3296,plain,
( ~ next(e_4,X1)
| ~ cycle(X1,e_4)
| cycle(e_4,e_0) ),
inference(spm,[status(thm)],[c_0_2801,c_0_138]),
[final] ).
cnf(c_0_3297,axiom,
greater(e_5,e_0),
e_5_greater_e_0,
[final] ).
cnf(c_0_3298,negated_conjecture,
( ~ product(X1,e_5,e_3)
| product(e_3,X1,e_2)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_105,c_0_1995]),
[final] ).
cnf(c_0_3308,negated_conjecture,
( ~ greater(e_1,e_1)
| cycle(e_1,e_4)
| product(e_3,e_5,e_4)
| product(e_2,e_4,e_1)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_3)
| product(e_1,e_1,e_4)
| product(e_1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_2807,c_0_91]),
[final] ).
cnf(c_0_3309,negated_conjecture,
( ~ greater(e_1,e_1)
| cycle(e_1,e_4)
| product(e_2,e_3,e_4)
| product(e_2,e_4,e_1)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_3)
| product(e_1,e_1,e_4)
| product(e_1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_2808,c_0_91]),
[final] ).
cnf(c_0_3310,negated_conjecture,
( ~ greater(e_1,e_1)
| cycle(e_1,e_4)
| product(e_2,e_5,e_1)
| product(e_2,e_4,e_1)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_3)
| product(e_1,e_1,e_4)
| product(e_1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_2809,c_0_91]),
[final] ).
cnf(c_0_3311,negated_conjecture,
( ~ greater(e_1,e_1)
| cycle(e_1,e_4)
| product(e_3,e_5,e_1)
| product(e_3,e_5,e_4)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_3)
| product(e_1,e_1,e_4)
| product(e_1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_2810,c_0_91]),
[final] ).
cnf(c_0_3312,negated_conjecture,
( ~ greater(e_1,e_1)
| cycle(e_1,e_4)
| product(e_3,e_2,e_4)
| product(e_3,e_5,e_4)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_3)
| product(e_1,e_1,e_4)
| product(e_1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_2811,c_0_91]),
[final] ).
cnf(c_0_3313,negated_conjecture,
( ~ greater(e_1,e_1)
| cycle(e_1,e_4)
| product(e_3,e_4,e_5)
| product(e_3,e_5,e_4)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_3)
| product(e_1,e_1,e_4)
| product(e_1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_2812,c_0_91]),
[final] ).
cnf(c_0_3314,negated_conjecture,
( ~ greater(e_1,e_1)
| cycle(e_1,e_4)
| product(e_3,e_5,e_1)
| product(e_2,e_5,e_1)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_3)
| product(e_1,e_1,e_4)
| product(e_1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_2813,c_0_91]),
[final] ).
cnf(c_0_3315,negated_conjecture,
( ~ greater(e_1,e_1)
| cycle(e_1,e_4)
| product(e_3,e_5,e_1)
| product(e_2,e_3,e_4)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_3)
| product(e_1,e_1,e_4)
| product(e_1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_2814,c_0_91]),
[final] ).
cnf(c_0_3316,negated_conjecture,
( ~ greater(e_1,e_1)
| cycle(e_1,e_4)
| product(e_2,e_3,e_5)
| product(e_3,e_5,e_4)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_3)
| product(e_1,e_1,e_4)
| product(e_1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_2815,c_0_91]),
[final] ).
cnf(c_0_3317,negated_conjecture,
( ~ greater(e_1,e_1)
| cycle(e_1,e_4)
| product(e_2,e_3,e_4)
| product(e_3,e_4,e_5)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_3)
| product(e_1,e_1,e_4)
| product(e_1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_2816,c_0_91]),
[final] ).
cnf(c_0_3318,negated_conjecture,
( ~ greater(e_1,e_1)
| cycle(e_1,e_4)
| product(e_2,e_5,e_1)
| product(e_3,e_4,e_5)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_3)
| product(e_1,e_1,e_4)
| product(e_1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_2817,c_0_91]),
[final] ).
cnf(c_0_3319,negated_conjecture,
( ~ greater(e_1,e_1)
| cycle(e_1,e_4)
| product(e_3,e_2,e_4)
| product(e_2,e_5,e_1)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_3)
| product(e_1,e_1,e_4)
| product(e_1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_2818,c_0_91]),
[final] ).
cnf(c_0_3320,negated_conjecture,
( ~ greater(e_1,e_1)
| cycle(e_1,e_4)
| product(e_2,e_3,e_5)
| product(e_2,e_5,e_1)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_3)
| product(e_1,e_1,e_4)
| product(e_1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_2819,c_0_91]),
[final] ).
cnf(c_0_3321,negated_conjecture,
( ~ greater(e_1,e_1)
| cycle(e_1,e_4)
| product(e_2,e_3,e_4)
| product(e_3,e_2,e_4)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_3)
| product(e_1,e_1,e_4)
| product(e_1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_2820,c_0_91]),
[final] ).
cnf(c_0_3322,negated_conjecture,
( ~ greater(e_1,e_1)
| cycle(e_1,e_4)
| product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_3)
| product(e_1,e_1,e_4)
| product(e_1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_2821,c_0_91]),
[final] ).
cnf(c_0_3323,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_2822,c_0_88]),c_0_2823]),c_0_2824]),
[final] ).
cnf(c_0_3324,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_2825,c_0_88]),c_0_2826]),c_0_2827]),
[final] ).
cnf(c_0_3325,negated_conjecture,
( ~ next(e_5,e_4)
| cycle(e_4,e_4)
| cycle(e_4,e_3)
| product(e_2,e_5,e_1)
| product(e_2,e_4,e_1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2828,c_0_88]),c_0_2829]),c_0_2830]),
[final] ).
cnf(c_0_3326,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_2831,c_0_88]),c_0_2832]),c_0_2833]),
[final] ).
cnf(c_0_3327,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_3,e_5,e_4) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2834,c_0_88]),c_0_2835]),c_0_2836]),
[final] ).
cnf(c_0_3328,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_3,e_5,e_4) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2837,c_0_88]),c_0_2838]),c_0_2839]),
[final] ).
cnf(c_0_3329,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_2840,c_0_88]),c_0_2841]),c_0_2842]),
[final] ).
cnf(c_0_3330,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_2843,c_0_88]),c_0_2844]),c_0_2845]),
[final] ).
cnf(c_0_3331,negated_conjecture,
( ~ greater(e_1,e_1)
| cycle(e_1,e_4)
| product(e_3,e_1,e_2)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_3)
| product(e_1,e_1,e_4)
| product(e_1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_2846,c_0_91]),
[final] ).
cnf(c_0_3332,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_3,e_5,e_4) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2847,c_0_88]),c_0_2848]),c_0_2849]),
[final] ).
cnf(c_0_3333,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_3,e_4,e_5) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2850,c_0_88]),c_0_2851]),c_0_2852]),
[final] ).
cnf(c_0_3334,negated_conjecture,
( ~ next(e_5,e_4)
| cycle(e_4,e_4)
| cycle(e_4,e_3)
| product(e_2,e_5,e_1)
| product(e_3,e_4,e_5) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2853,c_0_88]),c_0_2854]),c_0_2855]),
[final] ).
cnf(c_0_3335,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_2856,c_0_88]),c_0_2857]),c_0_2858]),
[final] ).
cnf(c_0_3336,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_2859,c_0_88]),c_0_2860]),c_0_2861]),
[final] ).
cnf(c_0_3337,negated_conjecture,
( ~ product(X1,e_5,e_1)
| product(e_1,X1,e_2)
| product(e_4,e_5,e_3)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_105,c_0_2862]),
[final] ).
cnf(c_0_3338,negated_conjecture,
( ~ product(X1,e_5,e_1)
| product(e_1,X1,e_2)
| product(e_4,e_5,e_3)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_105,c_0_2863]),
[final] ).
cnf(c_0_3339,negated_conjecture,
( ~ product(X1,e_5,e_1)
| product(e_1,X1,e_2)
| product(e_4,e_5,e_3)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_105,c_0_2864]),
[final] ).
cnf(c_0_3340,negated_conjecture,
( ~ product(X1,e_5,e_1)
| product(e_1,X1,e_2)
| product(e_4,e_5,e_3)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_105,c_0_2865]),
[final] ).
cnf(c_0_3341,negated_conjecture,
( ~ product(e_3,e_1,e_2)
| product(e_4,e_5,e_3)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_333,c_0_2862]),
[final] ).
cnf(c_0_3342,negated_conjecture,
( ~ product(e_3,e_1,e_2)
| product(e_4,e_5,e_3)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_333,c_0_2863]),
[final] ).
cnf(c_0_3343,negated_conjecture,
( ~ product(e_3,e_1,e_2)
| product(e_4,e_5,e_3)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_333,c_0_2864]),
[final] ).
cnf(c_0_3344,negated_conjecture,
( ~ product(e_3,e_1,e_2)
| product(e_4,e_5,e_3)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_333,c_0_2865]),
[final] ).
cnf(c_0_3345,negated_conjecture,
( ~ product(X1,e_5,e_1)
| product(e_1,X1,e_2)
| product(e_4,e_5,e_3)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_105,c_0_2294]),
[final] ).
cnf(c_0_3346,negated_conjecture,
( ~ product(e_3,e_5,e_4)
| product(e_1,e_4,e_5)
| product(e_1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_2088,c_0_2544]),
[final] ).
cnf(c_0_3347,negated_conjecture,
( ~ product(e_3,e_5,e_4)
| product(e_1,e_3,e_5)
| product(e_1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_2866,c_0_2544]),
[final] ).
cnf(c_0_3348,negated_conjecture,
( ~ product(e_3,e_5,e_4)
| product(e_5,e_2,e_3) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2867,c_0_2544]),c_0_422]),c_0_2868]),
[final] ).
cnf(c_0_3349,negated_conjecture,
( ~ product(X1,e_4,e_3)
| ~ product(e_3,e_5,e_4)
| product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_105,c_0_2869]),
[final] ).
cnf(c_0_3350,negated_conjecture,
( ~ product(X1,e_1,e_5)
| ~ product(e_3,e_5,e_4)
| product(e_5,X1,e_2) ),
inference(spm,[status(thm)],[c_0_2609,c_0_2544]),
[final] ).
cnf(c_0_3351,negated_conjecture,
( ~ product(X1,e_5,e_2)
| ~ product(e_3,e_5,e_4)
| product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_2870,c_0_2544]),
[final] ).
cnf(c_0_3352,negated_conjecture,
( ~ product(X1,e_1,e_2)
| ~ product(e_3,e_5,e_4)
| product(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_2871,c_0_2544]),
[final] ).
cnf(c_0_3353,negated_conjecture,
( ~ product(X1,e_5,e_4)
| ~ product(e_3,e_5,e_4)
| product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_2872,c_0_2544]),
[final] ).
cnf(c_0_3354,negated_conjecture,
( ~ product(X1,e_4,e_5)
| ~ product(e_3,e_5,e_4)
| product(e_5,X1,e_3) ),
inference(spm,[status(thm)],[c_0_105,c_0_2544]),
[final] ).
cnf(c_0_3355,negated_conjecture,
( ~ product(e_3,e_5,e_4)
| ~ product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_511,c_0_2544]),
[final] ).
cnf(c_0_3356,negated_conjecture,
( ~ product(e_3,e_5,e_4)
| ~ product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_413,c_0_2544]),
[final] ).
cnf(c_0_3357,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_107,c_0_2294]),c_0_2873]),
[final] ).
cnf(c_0_3358,negated_conjecture,
( ~ product(X1,e_5,e_1)
| product(e_1,X1,e_2)
| product(e_3,e_5,e_4)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_105,c_0_2874]),
[final] ).
cnf(c_0_3359,negated_conjecture,
( ~ product(X1,e_5,e_1)
| product(e_1,X1,e_2)
| product(e_3,e_5,e_4)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_105,c_0_2875]),
[final] ).
cnf(c_0_3360,negated_conjecture,
( ~ product(X1,e_5,e_1)
| product(e_1,X1,e_2)
| product(e_2,e_4,e_1)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_105,c_0_2876]),
[final] ).
cnf(c_0_3361,negated_conjecture,
( ~ product(X1,e_5,e_1)
| product(e_1,X1,e_2)
| product(e_3,e_5,e_4)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_105,c_0_2877]),
[final] ).
cnf(c_0_3362,negated_conjecture,
( ~ product(X1,e_5,e_1)
| product(e_1,X1,e_2)
| product(e_2,e_3,e_4)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_105,c_0_2878]),
[final] ).
cnf(c_0_3363,negated_conjecture,
( ~ product(X1,e_5,e_1)
| product(e_1,X1,e_2)
| product(e_2,e_5,e_1)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_105,c_0_2879]),
[final] ).
cnf(c_0_3364,negated_conjecture,
( ~ product(X1,e_5,e_1)
| product(e_1,X1,e_2)
| product(e_3,e_5,e_4)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_105,c_0_2880]),
[final] ).
cnf(c_0_3365,negated_conjecture,
( ~ product(X1,e_5,e_1)
| product(e_1,X1,e_2)
| product(e_3,e_5,e_4)
| product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_105,c_0_2881]),
[final] ).
cnf(c_0_3366,negated_conjecture,
( ~ product(X1,e_5,e_1)
| product(e_1,X1,e_2)
| product(e_4,e_5,e_3)
| product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_105,c_0_2882]),
[final] ).
cnf(c_0_3367,negated_conjecture,
( ~ product(X1,e_5,e_1)
| product(e_1,X1,e_2)
| product(e_2,e_3,e_4)
| product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_105,c_0_2883]),
[final] ).
cnf(c_0_3368,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_333,c_0_2881]),
[final] ).
cnf(c_0_3369,negated_conjecture,
( ~ product(e_3,e_1,e_2)
| product(e_4,e_5,e_3)
| product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_333,c_0_2882]),
[final] ).
cnf(c_0_3370,negated_conjecture,
( ~ product(X1,e_5,e_1)
| product(e_1,X1,e_2)
| product(e_5,e_3,e_2)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_105,c_0_2385]),
[final] ).
cnf(c_0_3371,negated_conjecture,
( ~ product(e_3,e_5,e_1)
| ~ product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_2873,c_0_2884]),
[final] ).
cnf(c_0_3372,negated_conjecture,
( ~ product(e_3,e_5,e_1)
| ~ product(e_5,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_2151,c_0_2884]),
[final] ).
cnf(c_0_3373,negated_conjecture,
( ~ product(X1,e_5,e_3)
| ~ product(e_3,e_5,e_1)
| product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_105,c_0_2884]),
[final] ).
cnf(c_0_3374,negated_conjecture,
( ~ product(X1,e_5,e_1)
| product(e_1,X1,e_2)
| product(e_3,e_5,e_4)
| product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_105,c_0_2885]),
[final] ).
cnf(c_0_3375,negated_conjecture,
( ~ product(e_3,e_1,e_2)
| product(e_3,e_5,e_4)
| product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_333,c_0_2885]),
[final] ).
cnf(c_0_3376,negated_conjecture,
( ~ product(X1,e_5,e_1)
| product(e_1,X1,e_2)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_105,c_0_2886]),
[final] ).
cnf(c_0_3377,negated_conjecture,
( ~ product(X1,e_5,e_1)
| product(e_1,X1,e_2)
| product(e_2,e_3,e_4)
| product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_105,c_0_2887]),
[final] ).
cnf(c_0_3378,negated_conjecture,
( ~ product(e_3,e_1,e_2)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_333,c_0_2886]),
[final] ).
cnf(c_0_3379,negated_conjecture,
( ~ product(X1,e_5,e_1)
| product(e_1,X1,e_2)
| product(e_2,e_5,e_1)
| product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_105,c_0_2888]),
[final] ).
cnf(c_0_3380,negated_conjecture,
( ~ product(e_3,e_1,e_2)
| product(e_2,e_5,e_1)
| product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_333,c_0_2888]),
[final] ).
cnf(c_0_3381,negated_conjecture,
( ~ product(X1,e_5,e_1)
| product(e_1,X1,e_2)
| product(e_5,e_4,e_2)
| product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_105,c_0_2563]),
[final] ).
cnf(c_0_3382,negated_conjecture,
( ~ product(e_3,e_5,e_4)
| product(e_4,e_5,e_2)
| product(e_5,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_2889,c_0_2382]),
[final] ).
cnf(c_0_3383,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_2890,c_0_2398]),
[final] ).
cnf(c_0_3384,negated_conjecture,
( ~ next(e_1,e_3)
| cycle(e_1,e_3)
| cycle(e_1,e_0)
| product(e_2,e_4,e_1)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_2891,c_0_2398]),
[final] ).
cnf(c_0_3385,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_2892,c_0_2185]),
[final] ).
cnf(c_0_3386,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_2890,c_0_2399]),
[final] ).
cnf(c_0_3387,negated_conjecture,
( ~ next(e_1,e_3)
| cycle(e_1,e_3)
| cycle(e_1,e_0)
| product(e_2,e_4,e_1)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_2891,c_0_2399]),
[final] ).
cnf(c_0_3388,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_2892,c_0_2186]),
[final] ).
cnf(c_0_3389,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_5,e_1) ),
inference(spm,[status(thm)],[c_0_2890,c_0_2402]),
[final] ).
cnf(c_0_3390,negated_conjecture,
( ~ next(e_1,e_3)
| cycle(e_1,e_3)
| cycle(e_1,e_0)
| product(e_2,e_4,e_1)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_2891,c_0_2402]),
[final] ).
cnf(c_0_3391,negated_conjecture,
( ~ next(e_4,e_2)
| cycle(e_4,e_4)
| 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_2892,c_0_2188]),
[final] ).
cnf(c_0_3392,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_2890,c_0_2437]),
[final] ).
cnf(c_0_3393,negated_conjecture,
( ~ next(e_1,e_3)
| cycle(e_1,e_3)
| cycle(e_1,e_0)
| product(e_3,e_5,e_4)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_2891,c_0_2437]),
[final] ).
cnf(c_0_3394,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_2892,c_0_2198]),
[final] ).
cnf(c_0_3395,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_2,e_4) ),
inference(spm,[status(thm)],[c_0_2890,c_0_2438]),
[final] ).
cnf(c_0_3396,negated_conjecture,
( ~ next(e_1,e_3)
| cycle(e_1,e_3)
| cycle(e_1,e_0)
| product(e_3,e_5,e_4)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2891,c_0_2438]),
[final] ).
cnf(c_0_3397,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_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_2892,c_0_2199]),
[final] ).
cnf(c_0_3398,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_4,e_5) ),
inference(spm,[status(thm)],[c_0_2890,c_0_2444]),
[final] ).
cnf(c_0_3399,negated_conjecture,
( ~ next(e_1,e_3)
| cycle(e_1,e_3)
| cycle(e_1,e_0)
| product(e_3,e_5,e_4)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_2891,c_0_2444]),
[final] ).
cnf(c_0_3400,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_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_2892,c_0_2202]),
[final] ).
cnf(c_0_3401,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_2890,c_0_2445]),
[final] ).
cnf(c_0_3402,negated_conjecture,
( ~ next(e_1,e_3)
| cycle(e_1,e_3)
| cycle(e_1,e_0)
| product(e_2,e_5,e_1)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_2891,c_0_2445]),
[final] ).
cnf(c_0_3403,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_2892,c_0_2203]),
[final] ).
cnf(c_0_3404,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_2890,c_0_2446]),
[final] ).
cnf(c_0_3405,negated_conjecture,
( ~ next(e_1,e_3)
| cycle(e_1,e_3)
| cycle(e_1,e_0)
| product(e_2,e_3,e_4)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_2891,c_0_2446]),
[final] ).
cnf(c_0_3406,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_2892,c_0_2204]),
[final] ).
cnf(c_0_3407,negated_conjecture,
( ~ product(X1,e_5,e_1)
| product(e_1,X1,e_2)
| product(e_5,e_2,e_3)
| product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_105,c_0_2893]),
[final] ).
cnf(c_0_3408,negated_conjecture,
( ~ 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_333,c_0_2893]),
[final] ).
cnf(c_0_3409,negated_conjecture,
( ~ product(X1,e_5,e_1)
| product(e_1,X1,e_2)
| product(e_5,e_2,e_3)
| product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_105,c_0_2894]),
[final] ).
cnf(c_0_3410,negated_conjecture,
( ~ product(e_3,e_1,e_2)
| product(e_5,e_2,e_3)
| product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_333,c_0_2894]),
[final] ).
cnf(c_0_3411,negated_conjecture,
( ~ product(e_3,e_5,e_2)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2895,c_0_2069]),c_0_2896]),
[final] ).
cnf(c_0_3412,negated_conjecture,
( ~ product(e_2,e_3,e_1)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2390,c_0_1813]),c_0_2226]),
[final] ).
cnf(c_0_3413,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_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_2890,c_0_2448]),
[final] ).
cnf(c_0_3414,negated_conjecture,
( ~ next(e_1,e_3)
| cycle(e_1,e_3)
| cycle(e_1,e_0)
| product(e_3,e_5,e_4)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_2891,c_0_2448]),
[final] ).
cnf(c_0_3415,negated_conjecture,
( ~ product(X1,e_1,e_4)
| product(e_4,X1,e_3)
| product(e_3,e_1,e_4)
| product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_105,c_0_2897]),
[final] ).
cnf(c_0_3416,negated_conjecture,
( ~ product(e_5,e_4,e_3)
| product(e_3,e_1,e_4)
| product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_427,c_0_2897]),
[final] ).
cnf(c_0_3417,negated_conjecture,
( ~ product(e_1,e_4,e_2)
| product(e_3,e_1,e_4)
| product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_413,c_0_2897]),
[final] ).
cnf(c_0_3418,negated_conjecture,
( ~ product(X1,e_1,e_4)
| product(e_4,X1,e_3)
| product(e_3,e_5,e_2)
| product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_105,c_0_2898]),
[final] ).
cnf(c_0_3419,negated_conjecture,
( ~ product(e_5,e_4,e_3)
| product(e_3,e_5,e_2)
| product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_427,c_0_2898]),
[final] ).
cnf(c_0_3420,negated_conjecture,
( ~ product(e_1,e_4,e_2)
| product(e_3,e_5,e_2)
| product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_413,c_0_2898]),
[final] ).
cnf(c_0_3421,negated_conjecture,
( ~ product(X1,e_1,e_4)
| product(e_4,X1,e_3)
| product(e_2,e_3,e_1)
| product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_105,c_0_2144]),
[final] ).
cnf(c_0_3422,negated_conjecture,
( ~ product(X1,e_5,e_5)
| product(e_5,X1,e_5) ),
inference(spm,[status(thm)],[c_0_105,c_0_2237]),
[final] ).
cnf(c_0_3423,negated_conjecture,
( ~ product(e_5,e_4,e_3)
| product(e_2,e_3,e_1)
| product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_427,c_0_2144]),
[final] ).
cnf(c_0_3424,negated_conjecture,
( ~ product(e_1,e_4,e_2)
| product(e_2,e_3,e_1)
| product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_413,c_0_2144]),
[final] ).
cnf(c_0_3425,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_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_2892,c_0_2205]),
[final] ).
cnf(c_0_3426,negated_conjecture,
( ~ product(X1,e_1,e_4)
| product(e_4,X1,e_3)
| product(e_2,e_4,e_1)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_105,c_0_2899]),
[final] ).
cnf(c_0_3427,negated_conjecture,
( ~ product(e_5,e_4,e_3)
| product(e_2,e_4,e_1)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_427,c_0_2899]),
[final] ).
cnf(c_0_3428,negated_conjecture,
( ~ product(e_1,e_4,e_2)
| product(e_2,e_4,e_1)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_413,c_0_2899]),
[final] ).
cnf(c_0_3429,negated_conjecture,
( ~ product(X1,e_1,e_4)
| product(e_4,X1,e_3)
| product(e_2,e_4,e_1)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_105,c_0_2900]),
[final] ).
cnf(c_0_3430,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_413,c_0_2900]),
[final] ).
cnf(c_0_3431,negated_conjecture,
( ~ product(X1,e_1,e_4)
| product(e_4,X1,e_3)
| product(e_2,e_3,e_1)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_105,c_0_2901]),
[final] ).
cnf(c_0_3432,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_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_2890,c_0_2460]),
[final] ).
cnf(c_0_3433,negated_conjecture,
( ~ next(e_1,e_3)
| cycle(e_1,e_3)
| cycle(e_1,e_0)
| product(e_3,e_4,e_5)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_2891,c_0_2460]),
[final] ).
cnf(c_0_3434,negated_conjecture,
( ~ next(e_1,X2)
| ~ greater(X1,X3)
| ~ cycle(X2,X3)
| ~ cycle(e_0,X1)
| cycle(e_1,e_4)
| product(e_3,e_5,e_4)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_2902,c_0_64]),
[final] ).
cnf(c_0_3435,negated_conjecture,
( ~ next(e_1,X2)
| ~ greater(X1,X3)
| ~ cycle(X2,X3)
| ~ cycle(e_0,X1)
| cycle(e_1,e_4)
| product(e_2,e_3,e_4)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_2903,c_0_64]),
[final] ).
cnf(c_0_3436,negated_conjecture,
( ~ next(e_1,X2)
| ~ greater(X1,X3)
| ~ cycle(X2,X3)
| ~ cycle(e_0,X1)
| cycle(e_1,e_4)
| product(e_2,e_5,e_1)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_2904,c_0_64]),
[final] ).
cnf(c_0_3437,negated_conjecture,
( ~ next(e_5,X1)
| ~ greater(e_0,X2)
| ~ cycle(X1,X2)
| cycle(e_1,e_4)
| product(e_2,e_4,e_1)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_2489,c_0_2504]),
[final] ).
cnf(c_0_3438,negated_conjecture,
( ~ next(e_5,X1)
| ~ greater(e_0,X2)
| ~ cycle(X1,X2)
| cycle(e_1,e_4)
| product(e_2,e_4,e_1)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_2489,c_0_2505]),
[final] ).
cnf(c_0_3439,negated_conjecture,
( ~ next(e_5,X1)
| ~ greater(e_0,X2)
| ~ cycle(X1,X2)
| cycle(e_1,e_4)
| product(e_2,e_4,e_1)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_2489,c_0_2506]),
[final] ).
cnf(c_0_3440,negated_conjecture,
( ~ greater(e_0,e_0)
| ~ product(e_1,e_1,e_3)
| cycle(e_1,e_4)
| 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_169,c_0_2504]),c_0_81])]),
[final] ).
cnf(c_0_3441,negated_conjecture,
( ~ greater(e_0,e_0)
| ~ product(e_1,e_1,e_3)
| cycle(e_1,e_4)
| 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_169,c_0_2505]),c_0_81])]),
[final] ).
cnf(c_0_3442,negated_conjecture,
( ~ greater(e_0,e_0)
| ~ product(e_1,e_1,e_3)
| cycle(e_1,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(spm,[status(thm)],[c_0_169,c_0_2506]),c_0_81])]),
[final] ).
cnf(c_0_3443,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(spm,[status(thm)],[c_0_2905,c_0_2504]),c_0_2906]),
[final] ).
cnf(c_0_3444,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_2479,c_0_2398]),
[final] ).
cnf(c_0_3445,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_2905,c_0_2787]),c_0_89])]),
[final] ).
cnf(c_0_3446,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_2905,c_0_140]),
[final] ).
cnf(c_0_3447,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_2907,c_0_2398]),
[final] ).
cnf(c_0_3448,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_2908,c_0_2185]),
[final] ).
cnf(c_0_3449,negated_conjecture,
( ~ next(e_5,e_1)
| cycle(e_1,e_4)
| product(e_3,e_5,e_4)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_2823,c_0_2504]),
[final] ).
cnf(c_0_3450,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_2823,c_0_2909]),
[final] ).
cnf(c_0_3451,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_2823,c_0_2789]),
[final] ).
cnf(c_0_3452,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_2823,c_0_140]),
[final] ).
cnf(c_0_3453,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_2824,c_0_2398]),
[final] ).
cnf(c_0_3454,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_2305,c_0_2910]),c_0_153])]),
[final] ).
cnf(c_0_3455,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_2911,c_0_81]),
[final] ).
cnf(c_0_3456,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_2912,c_0_89]),
[final] ).
cnf(c_0_3457,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_2913,c_0_138]),
[final] ).
cnf(c_0_3458,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_2914,c_0_2185]),
[final] ).
cnf(c_0_3459,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_2788,c_0_2185]),c_0_683]),c_0_68])]),
[final] ).
cnf(c_0_3460,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_169,c_0_2185]),c_0_683]),c_0_68])]),
[final] ).
cnf(c_0_3461,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_2367,c_0_2185]),c_0_683]),c_0_68])]),
[final] ).
cnf(c_0_3462,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_209,c_0_2185]),c_0_683]),c_0_68])]),
[final] ).
cnf(c_0_3463,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(spm,[status(thm)],[c_0_2915,c_0_2505]),c_0_2916]),
[final] ).
cnf(c_0_3464,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_2479,c_0_2399]),
[final] ).
cnf(c_0_3465,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_2915,c_0_2787]),c_0_89])]),
[final] ).
cnf(c_0_3466,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_2915,c_0_140]),
[final] ).
cnf(c_0_3467,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_2917,c_0_2399]),
[final] ).
cnf(c_0_3468,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_2918,c_0_2186]),
[final] ).
cnf(c_0_3469,negated_conjecture,
( ~ next(e_5,e_1)
| cycle(e_1,e_4)
| product(e_2,e_3,e_4)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_2826,c_0_2505]),
[final] ).
cnf(c_0_3470,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_2826,c_0_2909]),
[final] ).
cnf(c_0_3471,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_2826,c_0_2789]),
[final] ).
cnf(c_0_3472,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_2827,c_0_2399]),
[final] ).
cnf(c_0_3473,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_2826,c_0_140]),
[final] ).
cnf(c_0_3474,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_2306,c_0_2910]),c_0_153])]),
[final] ).
cnf(c_0_3475,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_2919,c_0_81]),
[final] ).
cnf(c_0_3476,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_2920,c_0_89]),
[final] ).
cnf(c_0_3477,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_2921,c_0_138]),
[final] ).
cnf(c_0_3478,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_2914,c_0_2186]),
[final] ).
cnf(c_0_3479,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_2788,c_0_2186]),c_0_683]),c_0_68])]),
[final] ).
cnf(c_0_3480,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_169,c_0_2186]),c_0_683]),c_0_68])]),
[final] ).
cnf(c_0_3481,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_2367,c_0_2186]),c_0_683]),c_0_68])]),
[final] ).
cnf(c_0_3482,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_209,c_0_2186]),c_0_683]),c_0_68])]),
[final] ).
cnf(c_0_3483,negated_conjecture,
( ~ product(X1,e_5,e_2)
| product(e_2,X1,e_1)
| product(e_4,e_5,e_2)
| product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_105,c_0_2922]),
[final] ).
cnf(c_0_3484,negated_conjecture,
( ~ product(X1,e_5,e_2)
| product(e_2,X1,e_1)
| product(e_4,e_5,e_2)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_105,c_0_2923]),
[final] ).
cnf(c_0_3485,negated_conjecture,
( ~ next(e_3,e_1)
| product(e_2,e_4,e_1)
| product(e_2,e_5,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2924,c_0_2506]),c_0_2925]),
[final] ).
cnf(c_0_3486,negated_conjecture,
( ~ next(e_5,X1)
| ~ greater(e_2,X2)
| ~ cycle(X1,X2)
| product(e_2,e_4,e_1)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_2479,c_0_2402]),
[final] ).
cnf(c_0_3487,negated_conjecture,
( ~ cycle(e_4,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_2924,c_0_2787]),c_0_89])]),
[final] ).
cnf(c_0_3488,negated_conjecture,
( ~ next(e_3,e_5)
| product(e_2,e_4,e_1)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_2924,c_0_140]),
[final] ).
cnf(c_0_3489,negated_conjecture,
( ~ next(e_3,e_3)
| product(e_2,e_4,e_1)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_2926,c_0_2402]),
[final] ).
cnf(c_0_3490,negated_conjecture,
( ~ next(e_3,e_2)
| product(e_2,e_4,e_1)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_2927,c_0_2188]),
[final] ).
cnf(c_0_3491,negated_conjecture,
( ~ next(e_5,e_1)
| cycle(e_1,e_4)
| product(e_2,e_5,e_1)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_2829,c_0_2506]),
[final] ).
cnf(c_0_3492,negated_conjecture,
( ~ next(e_5,e_3)
| product(e_2,e_5,e_1)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_2830,c_0_2402]),
[final] ).
cnf(c_0_3493,negated_conjecture,
( ~ next(e_5,e_1)
| ~ cycle(e_1,e_5)
| product(e_2,e_5,e_1)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_2829,c_0_2909]),
[final] ).
cnf(c_0_3494,negated_conjecture,
( ~ next(e_5,e_2)
| ~ cycle(e_2,e_5)
| product(e_2,e_5,e_1)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_2829,c_0_2789]),
[final] ).
cnf(c_0_3495,negated_conjecture,
( ~ next(e_5,e_5)
| product(e_2,e_5,e_1)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_2829,c_0_140]),
[final] ).
cnf(c_0_3496,negated_conjecture,
( ~ cycle(e_3,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_2309,c_0_2910]),c_0_153])]),
[final] ).
cnf(c_0_3497,negated_conjecture,
( ~ next(e_2,X1)
| ~ cycle(X1,e_1)
| product(e_2,e_4,e_1)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_2928,c_0_81]),
[final] ).
cnf(c_0_3498,negated_conjecture,
( ~ next(e_2,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_2929,c_0_89]),
[final] ).
cnf(c_0_3499,negated_conjecture,
( ~ next(e_2,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_2930,c_0_138]),
[final] ).
cnf(c_0_3500,negated_conjecture,
( ~ cycle(e_2,e_2)
| product(e_2,e_5,e_1)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_2914,c_0_2188]),
[final] ).
cnf(c_0_3501,negated_conjecture,
( ~ next(e_2,e_1)
| product(e_2,e_5,e_1)
| 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_2788,c_0_2188]),c_0_683]),c_0_68])]),
[final] ).
cnf(c_0_3502,negated_conjecture,
( ~ next(e_2,e_2)
| product(e_2,e_5,e_1)
| 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_169,c_0_2188]),c_0_683]),c_0_68])]),
[final] ).
cnf(c_0_3503,negated_conjecture,
( ~ next(e_2,e_4)
| product(e_2,e_5,e_1)
| 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_2367,c_0_2188]),c_0_683]),c_0_68])]),
[final] ).
cnf(c_0_3504,negated_conjecture,
( ~ next(e_2,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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_209,c_0_2188]),c_0_683]),c_0_68])]),
[final] ).
cnf(c_0_3505,negated_conjecture,
( ~ product(X1,e_5,e_2)
| product(e_2,X1,e_1)
| product(e_4,e_5,e_2)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_105,c_0_2931]),
[final] ).
cnf(c_0_3506,negated_conjecture,
( ~ product(X1,e_5,e_2)
| product(e_2,X1,e_1)
| product(e_3,e_5,e_4)
| product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_105,c_0_2932]),
[final] ).
cnf(c_0_3507,negated_conjecture,
( ~ product(X1,e_1,e_4)
| product(e_4,X1,e_3)
| product(e_3,e_1,e_4)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_105,c_0_2933]),
[final] ).
cnf(c_0_3508,negated_conjecture,
( ~ product(X1,e_1,e_4)
| product(e_4,X1,e_3)
| product(e_3,e_1,e_4)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_105,c_0_2934]),
[final] ).
cnf(c_0_3509,negated_conjecture,
( ~ product(X1,e_5,e_2)
| product(e_2,X1,e_1)
| product(e_3,e_5,e_1)
| product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_105,c_0_2935]),
[final] ).
cnf(c_0_3510,negated_conjecture,
( ~ product(X1,e_5,e_2)
| product(e_2,X1,e_1)
| product(e_3,e_5,e_1)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_105,c_0_2936]),
[final] ).
cnf(c_0_3511,negated_conjecture,
( ~ product(X1,e_5,e_2)
| product(e_2,X1,e_1)
| product(e_3,e_5,e_1)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_105,c_0_2937]),
[final] ).
cnf(c_0_3512,negated_conjecture,
( ~ product(X1,e_5,e_2)
| product(e_2,X1,e_1)
| product(e_2,e_4,e_1)
| product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_105,c_0_2938]),
[final] ).
cnf(c_0_3513,negated_conjecture,
( ~ product(X1,e_5,e_2)
| product(e_2,X1,e_1)
| product(e_2,e_4,e_1)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_105,c_0_2939]),
[final] ).
cnf(c_0_3514,negated_conjecture,
( ~ product(X1,e_5,e_2)
| product(e_2,X1,e_1)
| product(e_2,e_4,e_1)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_105,c_0_2940]),
[final] ).
cnf(c_0_3515,negated_conjecture,
( ~ product(X1,e_5,e_2)
| product(e_2,X1,e_1)
| product(e_2,e_4,e_1)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_105,c_0_2941]),
[final] ).
cnf(c_0_3516,negated_conjecture,
( ~ product(X1,e_1,e_3)
| product(e_3,X1,e_4)
| product(e_3,e_5,e_4)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_105,c_0_2942]),
[final] ).
cnf(c_0_3517,negated_conjecture,
( ~ product(X1,e_1,e_3)
| product(e_3,X1,e_4)
| product(e_2,e_5,e_1)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_105,c_0_2943]),
[final] ).
cnf(c_0_3518,negated_conjecture,
( ~ product(X1,e_5,e_1)
| product(e_1,X1,e_2)
| product(e_2,e_4,e_1)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_105,c_0_2944]),
[final] ).
cnf(c_0_3519,negated_conjecture,
( ~ product(X1,e_5,e_1)
| product(e_1,X1,e_2)
| product(e_2,e_4,e_1)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_105,c_0_2945]),
[final] ).
cnf(c_0_3520,negated_conjecture,
( ~ product(e_3,e_5,e_1)
| product(e_1,e_5,e_5)
| product(e_1,e_5,e_4)
| product(e_1,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_2946,c_0_2615]),
[final] ).
cnf(c_0_3521,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_3,e_1,e_4)
| product(e_5,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_2947,c_0_776]),
[final] ).
cnf(c_0_3522,negated_conjecture,
( ~ product(X1,e_5,e_2)
| product(e_2,X1,e_3)
| product(e_3,e_1,e_4)
| product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_2870,c_0_2392]),
[final] ).
cnf(c_0_3523,negated_conjecture,
( ~ product(X1,e_5,e_4)
| product(e_4,X1,e_2)
| product(e_3,e_1,e_4)
| product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_2872,c_0_2392]),
[final] ).
cnf(c_0_3524,negated_conjecture,
( ~ product(X1,e_4,e_5)
| product(e_5,X1,e_3)
| product(e_3,e_1,e_4)
| product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_105,c_0_2392]),
[final] ).
cnf(c_0_3525,negated_conjecture,
( ~ product(X1,e_5,e_4)
| product(e_4,X1,e_2)
| product(e_4,e_5,e_1)
| product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_2948,c_0_2307]),
[final] ).
cnf(c_0_3526,negated_conjecture,
( ~ product(X1,e_5,e_2)
| product(e_2,X1,e_3)
| product(e_4,e_5,e_1)
| product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_105,c_0_2307]),
[final] ).
cnf(c_0_3527,negated_conjecture,
( ~ product(X1,e_4,e_5)
| product(e_5,X1,e_2)
| product(e_3,e_5,e_2)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_105,c_0_2949]),
[final] ).
cnf(c_0_3528,negated_conjecture,
( ~ product(X1,e_4,e_5)
| product(e_5,X1,e_2)
| product(e_3,e_5,e_4)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_105,c_0_2950]),
[final] ).
cnf(c_0_3529,negated_conjecture,
( ~ product(X1,e_4,e_5)
| product(e_5,X1,e_2)
| product(e_2,e_5,e_1)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_105,c_0_2951]),
[final] ).
cnf(c_0_3530,negated_conjecture,
( ~ product(X1,e_4,e_5)
| product(e_5,X1,e_2)
| product(e_3,e_5,e_2)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_105,c_0_2952]),
[final] ).
cnf(c_0_3531,negated_conjecture,
( ~ product(X1,e_4,e_5)
| product(e_5,X1,e_2)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_105,c_0_2953]),
[final] ).
cnf(c_0_3532,negated_conjecture,
( ~ product(X1,e_1,e_5)
| product(e_5,X1,e_2)
| product(e_3,e_5,e_2)
| product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_2609,c_0_2393]),
[final] ).
cnf(c_0_3533,negated_conjecture,
( ~ product(X1,e_5,e_2)
| product(e_2,X1,e_3)
| product(e_3,e_5,e_2)
| product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_2870,c_0_2393]),
[final] ).
cnf(c_0_3534,negated_conjecture,
( ~ product(X1,e_5,e_4)
| product(e_4,X1,e_2)
| product(e_3,e_5,e_2)
| product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_2872,c_0_2393]),
[final] ).
cnf(c_0_3535,negated_conjecture,
( ~ product(X1,e_4,e_5)
| product(e_5,X1,e_3)
| product(e_3,e_5,e_2)
| product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_105,c_0_2393]),
[final] ).
cnf(c_0_3536,negated_conjecture,
( ~ product(X1,e_1,e_3)
| product(e_3,X1,e_4)
| product(e_3,e_5,e_4)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_105,c_0_2417]),
[final] ).
cnf(c_0_3537,negated_conjecture,
( ~ product(X1,e_4,e_5)
| product(e_5,X1,e_2)
| product(e_2,e_3,e_1)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_105,c_0_2593]),
[final] ).
cnf(c_0_3538,negated_conjecture,
( ~ product(X1,e_1,e_5)
| product(e_5,X1,e_2)
| product(e_2,e_3,e_1)
| product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_2609,c_0_2089]),
[final] ).
cnf(c_0_3539,negated_conjecture,
( ~ product(X1,e_5,e_2)
| product(e_2,X1,e_3)
| product(e_2,e_3,e_1)
| product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_2870,c_0_2089]),
[final] ).
cnf(c_0_3540,negated_conjecture,
( ~ product(X1,e_4,e_5)
| product(e_5,X1,e_3)
| product(e_2,e_3,e_1)
| product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_105,c_0_2089]),
[final] ).
cnf(c_0_3541,negated_conjecture,
( ~ product(X1,e_5,e_4)
| product(e_4,X1,e_2)
| product(e_2,e_3,e_1)
| product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_105,c_0_2187]),
[final] ).
cnf(c_0_3542,negated_conjecture,
( ~ product(X1,e_5,e_3)
| product(e_3,X1,e_1)
| product(e_2,e_3,e_1)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_105,c_0_2421]),
[final] ).
cnf(c_0_3543,negated_conjecture,
( ~ product(X1,e_4,e_3)
| product(e_3,X1,e_1)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_105,c_0_2954]),
[final] ).
cnf(c_0_3544,negated_conjecture,
( ~ product(X1,e_5,e_4)
| product(e_4,X1,e_2)
| product(e_4,e_5,e_1)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_2948,c_0_2290]),
[final] ).
cnf(c_0_3545,negated_conjecture,
( ~ product(X1,e_5,e_2)
| product(e_2,X1,e_3)
| product(e_4,e_5,e_1)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_105,c_0_2290]),
[final] ).
cnf(c_0_3546,negated_conjecture,
( ~ product(X1,e_5,e_4)
| product(e_4,X1,e_2)
| product(e_4,e_5,e_1)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_2948,c_0_2955]),
[final] ).
cnf(c_0_3547,negated_conjecture,
( ~ product(X1,e_5,e_2)
| product(e_2,X1,e_3)
| product(e_4,e_5,e_1)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_105,c_0_2955]),
[final] ).
cnf(c_0_3548,negated_conjecture,
( ~ product(X1,e_5,e_4)
| product(e_4,X1,e_2)
| product(e_4,e_5,e_1)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_2948,c_0_2292]),
[final] ).
cnf(c_0_3549,negated_conjecture,
( ~ product(X1,e_5,e_2)
| product(e_2,X1,e_3)
| product(e_4,e_5,e_1)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_105,c_0_2292]),
[final] ).
cnf(c_0_3550,negated_conjecture,
( ~ product(X1,e_5,e_4)
| product(e_4,X1,e_2)
| product(e_4,e_5,e_1)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2948,c_0_2956]),
[final] ).
cnf(c_0_3551,negated_conjecture,
( ~ product(X1,e_5,e_2)
| product(e_2,X1,e_3)
| product(e_4,e_5,e_1)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_105,c_0_2956]),
[final] ).
cnf(c_0_3552,negated_conjecture,
( ~ product(X1,e_5,e_4)
| product(e_4,X1,e_2)
| product(e_4,e_5,e_1)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_2948,c_0_2957]),
[final] ).
cnf(c_0_3553,negated_conjecture,
( ~ product(X1,e_5,e_2)
| product(e_2,X1,e_3)
| product(e_4,e_5,e_1)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_105,c_0_2957]),
[final] ).
cnf(c_0_3554,negated_conjecture,
( ~ product(X1,e_5,e_3)
| product(e_3,X1,e_2)
| product(e_5,e_2,e_3)
| product(e_4,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_105,c_0_2227]),
[final] ).
cnf(c_0_3555,negated_conjecture,
( ~ product(X1,e_1,e_2)
| product(e_2,X1,e_5)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_105,c_0_2958]),
[final] ).
cnf(c_0_3556,negated_conjecture,
( ~ product(X1,e_3,e_1)
| product(e_1,X1,e_4)
| product(e_2,e_4,e_1)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_105,c_0_2092]),
[final] ).
cnf(c_0_3557,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_2,e_4,e_1)
| product(e_5,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_2959,c_0_776]),
[final] ).
cnf(c_0_3558,negated_conjecture,
( ~ product(X1,e_5,e_2)
| product(e_2,X1,e_3)
| product(e_2,e_4,e_1)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_2870,c_0_2394]),
[final] ).
cnf(c_0_3559,negated_conjecture,
( ~ product(X1,e_5,e_4)
| product(e_4,X1,e_2)
| product(e_2,e_4,e_1)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_2872,c_0_2394]),
[final] ).
cnf(c_0_3560,negated_conjecture,
( ~ product(X1,e_4,e_5)
| product(e_5,X1,e_3)
| product(e_2,e_4,e_1)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_105,c_0_2394]),
[final] ).
cnf(c_0_3561,negated_conjecture,
( ~ product(X1,e_1,e_5)
| product(e_5,X1,e_2)
| product(e_2,e_4,e_1)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_2609,c_0_2395]),
[final] ).
cnf(c_0_3562,negated_conjecture,
( ~ product(X1,e_5,e_2)
| product(e_2,X1,e_3)
| product(e_2,e_4,e_1)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_2870,c_0_2395]),
[final] ).
cnf(c_0_3563,negated_conjecture,
( ~ product(X1,e_5,e_4)
| product(e_4,X1,e_2)
| product(e_2,e_4,e_1)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_2872,c_0_2395]),
[final] ).
cnf(c_0_3564,negated_conjecture,
( ~ product(X1,e_4,e_5)
| product(e_5,X1,e_3)
| product(e_2,e_4,e_1)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_105,c_0_2395]),
[final] ).
cnf(c_0_3565,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_337,c_0_2942]),
[final] ).
cnf(c_0_3566,negated_conjecture,
( ~ product(e_1,e_2,e_4)
| product(e_2,e_5,e_1)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_337,c_0_2943]),
[final] ).
cnf(c_0_3567,negated_conjecture,
( product(e_5,e_4,e_2)
| product(e_4,e_5,e_2)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_1942,c_0_2412]),
[final] ).
cnf(c_0_3568,negated_conjecture,
( ~ product(e_5,e_1,e_2)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_356,c_0_2412]),
[final] ).
cnf(c_0_3569,negated_conjecture,
( ~ product(e_5,e_1,e_3)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_378,c_0_2412]),
[final] ).
cnf(c_0_3570,negated_conjecture,
( ~ product(X1,e_3,e_1)
| product(e_1,X1,e_4)
| product(e_2,e_4,e_1)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_2960,c_0_2094]),
[final] ).
cnf(c_0_3571,negated_conjecture,
( ~ product(X1,e_3,e_1)
| product(e_1,X1,e_4)
| product(e_2,e_4,e_1)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_2960,c_0_2095]),
[final] ).
cnf(c_0_3572,negated_conjecture,
( ~ product(X1,e_5,e_3)
| product(e_3,X1,e_4)
| product(e_2,e_4,e_1)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_105,c_0_2961]),
[final] ).
cnf(c_0_3573,negated_conjecture,
( ~ product(e_4,e_3,e_1)
| product(e_4,e_5,e_2)
| product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_312,c_0_2400]),
[final] ).
cnf(c_0_3574,negated_conjecture,
( ~ product(e_4,e_3,e_1)
| product(e_4,e_5,e_2)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_312,c_0_2401]),
[final] ).
cnf(c_0_3575,negated_conjecture,
( ~ product(e_4,e_3,e_1)
| product(e_4,e_5,e_2)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_312,c_0_2403]),
[final] ).
cnf(c_0_3576,negated_conjecture,
( ~ product(X1,e_5,e_2)
| product(e_2,X1,e_3)
| product(e_2,e_3,e_1)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_2962,c_0_2005]),
[final] ).
cnf(c_0_3577,negated_conjecture,
( ~ product(X1,e_1,e_5)
| product(e_5,X1,e_2)
| product(e_2,e_3,e_1)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_2963,c_0_2005]),
[final] ).
cnf(c_0_3578,negated_conjecture,
( ~ product(X1,e_1,e_5)
| product(e_5,X1,e_3)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_105,c_0_2614]),
[final] ).
cnf(c_0_3579,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_511,c_0_2392]),
[final] ).
cnf(c_0_3580,negated_conjecture,
( ~ product(e_4,e_2,e_3)
| product(e_4,e_5,e_1)
| product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_348,c_0_2307]),
[final] ).
cnf(c_0_3581,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_2964,c_0_2965]),
[final] ).
cnf(c_0_3582,negated_conjecture,
( ~ product(e_1,e_4,e_3)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_304,c_0_2614]),
[final] ).
cnf(c_0_3583,negated_conjecture,
( ~ product(X1,e_4,e_2)
| ~ product(e_3,e_5,e_1)
| product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_105,c_0_2966]),
[final] ).
cnf(c_0_3584,negated_conjecture,
( ~ product(X1,e_1,e_4)
| ~ product(e_3,e_5,e_1)
| product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_2967,c_0_2615]),
[final] ).
cnf(c_0_3585,negated_conjecture,
( ~ product(X1,e_5,e_4)
| ~ product(e_3,e_5,e_1)
| product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_2968,c_0_2615]),
[final] ).
cnf(c_0_3586,negated_conjecture,
( ~ product(e_3,e_5,e_1)
| ~ product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_2969,c_0_2615]),
[final] ).
cnf(c_0_3587,negated_conjecture,
( ~ product(e_3,e_5,e_1)
| product(e_2,e_5,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2970,c_0_2615]),c_0_778]),
[final] ).
cnf(c_0_3588,negated_conjecture,
( ~ product(e_3,e_5,e_1)
| ~ product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_2209,c_0_2615]),
[final] ).
cnf(c_0_3589,negated_conjecture,
( ~ product(X1,e_4,e_5)
| ~ product(e_3,e_5,e_1)
| product(e_5,X1,e_2) ),
inference(spm,[status(thm)],[c_0_105,c_0_2615]),
[final] ).
cnf(c_0_3590,negated_conjecture,
( ~ product(e_3,e_5,e_1)
| ~ product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_312,c_0_2615]),
[final] ).
cnf(c_0_3591,negated_conjecture,
( ~ product(e_4,e_3,e_1)
| product(e_3,e_5,e_4)
| product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_312,c_0_2404]),
[final] ).
cnf(c_0_3592,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_2240,c_0_2626]),
[final] ).
cnf(c_0_3593,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_3,e_5,e_2)
| product(e_5,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_2240,c_0_2627]),
[final] ).
cnf(c_0_3594,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_511,c_0_2393]),
[final] ).
cnf(c_0_3595,negated_conjecture,
( ~ product(e_1,e_2,e_5)
| product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_337,c_0_2386]),
[final] ).
cnf(c_0_3596,negated_conjecture,
( ~ product(e_1,e_3,e_4)
| product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_256,c_0_2386]),
[final] ).
cnf(c_0_3597,negated_conjecture,
( ~ product(X1,e_5,e_4)
| product(e_4,X1,e_2)
| product(e_2,e_3,e_1)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_2971,c_0_2005]),
[final] ).
cnf(c_0_3598,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_337,c_0_2417]),
[final] ).
cnf(c_0_3599,negated_conjecture,
( ~ product(e_4,e_2,e_3)
| product(e_2,e_3,e_1)
| product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_511,c_0_2089]),
[final] ).
cnf(c_0_3600,negated_conjecture,
( product(e_5,e_2,e_3)
| product(e_4,e_5,e_2)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_2391,c_0_2063]),
[final] ).
cnf(c_0_3601,negated_conjecture,
( ~ product(X1,e_1,e_5)
| ~ product(e_3,e_2,e_4)
| product(e_5,X1,e_3) ),
inference(spm,[status(thm)],[c_0_105,c_0_2618]),
[final] ).
cnf(c_0_3602,negated_conjecture,
( ~ product(e_3,e_2,e_4)
| product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_2972,c_0_2965]),
[final] ).
cnf(c_0_3603,negated_conjecture,
( ~ product(e_3,e_2,e_4)
| ~ product(e_1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_304,c_0_2618]),
[final] ).
cnf(c_0_3604,negated_conjecture,
( ~ product(X1,e_1,e_3)
| ~ product(e_3,e_2,e_4)
| product(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_105,c_0_2419]),
[final] ).
cnf(c_0_3605,negated_conjecture,
( ~ product(e_2,e_4,e_1)
| product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_2973,c_0_2965]),
[final] ).
cnf(c_0_3606,negated_conjecture,
( ~ product(X1,e_1,e_5)
| ~ product(e_2,e_4,e_1)
| product(e_5,X1,e_3) ),
inference(spm,[status(thm)],[c_0_105,c_0_2619]),
[final] ).
cnf(c_0_3607,negated_conjecture,
( ~ product(e_2,e_4,e_1)
| ~ product(e_1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_304,c_0_2619]),
[final] ).
cnf(c_0_3608,negated_conjecture,
( ~ product(X1,e_1,e_3)
| ~ product(e_2,e_4,e_1)
| product(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_105,c_0_2420]),
[final] ).
cnf(c_0_3609,negated_conjecture,
( ~ product(e_2,e_4,e_1)
| ~ product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_337,c_0_2420]),
[final] ).
cnf(c_0_3610,negated_conjecture,
( ~ product(e_5,e_1,e_2)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_356,c_0_2063]),
[final] ).
cnf(c_0_3611,negated_conjecture,
( ~ product(e_5,e_1,e_3)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_378,c_0_2063]),
[final] ).
cnf(c_0_3612,negated_conjecture,
( ~ product(X1,e_4,e_5)
| product(e_5,X1,e_3)
| product(e_2,e_3,e_1)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_2974,c_0_2005]),
[final] ).
cnf(c_0_3613,negated_conjecture,
( ~ product(e_5,e_4,e_3)
| product(e_2,e_3,e_1)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_2975,c_0_1373]),
[final] ).
cnf(c_0_3614,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_348,c_0_2421]),c_0_433]),
[final] ).
cnf(c_0_3615,negated_conjecture,
( ~ product(e_5,e_2,e_1)
| product(e_2,e_3,e_1)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_337,c_0_2421]),
[final] ).
cnf(c_0_3616,negated_conjecture,
( ~ product(X1,e_5,e_3)
| product(e_3,X1,e_2)
| product(e_3,e_1,e_4)
| product(e_5,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_105,c_0_2626]),
[final] ).
cnf(c_0_3617,negated_conjecture,
( ~ product(X1,e_1,e_5)
| product(e_5,X1,e_3)
| product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_105,c_0_2976]),
[final] ).
cnf(c_0_3618,negated_conjecture,
( ~ product(X1,e_1,e_5)
| product(e_5,X1,e_3)
| product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_105,c_0_2977]),
[final] ).
cnf(c_0_3619,negated_conjecture,
( ~ product(e_2,e_3,e_5)
| product(e_1,e_5,e_5)
| product(e_1,e_5,e_4)
| product(e_1,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_1620,c_0_2978]),
[final] ).
cnf(c_0_3620,negated_conjecture,
( ~ product(e_4,e_3,e_1)
| product(e_3,e_5,e_1)
| product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_312,c_0_2376]),
[final] ).
cnf(c_0_3621,negated_conjecture,
( ~ product(e_4,e_3,e_1)
| product(e_3,e_5,e_1)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_312,c_0_2407]),
[final] ).
cnf(c_0_3622,negated_conjecture,
( ~ product(e_4,e_3,e_1)
| product(e_3,e_5,e_1)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_312,c_0_2408]),
[final] ).
cnf(c_0_3623,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_4,e_5,e_1)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_2310,c_0_2292]),
[final] ).
cnf(c_0_3624,negated_conjecture,
( ~ product(e_4,e_2,e_3)
| product(e_4,e_5,e_1)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_348,c_0_2290]),
[final] ).
cnf(c_0_3625,negated_conjecture,
( ~ product(e_4,e_2,e_3)
| product(e_4,e_5,e_1)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_348,c_0_2955]),
[final] ).
cnf(c_0_3626,negated_conjecture,
( ~ product(e_4,e_2,e_3)
| product(e_4,e_5,e_1)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_348,c_0_2292]),
[final] ).
cnf(c_0_3627,negated_conjecture,
( ~ product(e_4,e_2,e_3)
| product(e_4,e_5,e_1)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_348,c_0_2956]),
[final] ).
cnf(c_0_3628,negated_conjecture,
( ~ product(e_4,e_2,e_3)
| product(e_4,e_5,e_1)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_348,c_0_2957]),
[final] ).
cnf(c_0_3629,negated_conjecture,
( ~ product(e_4,e_3,e_2)
| product(e_5,e_2,e_3)
| product(e_4,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_348,c_0_2227]),
[final] ).
cnf(c_0_3630,negated_conjecture,
( ~ product(X1,e_5,e_4)
| product(e_4,X1,e_3)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_105,c_0_2299]),
[final] ).
cnf(c_0_3631,negated_conjecture,
( product(e_5,e_4,e_2)
| product(e_2,e_4,e_1)
| product(e_2,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1485,c_0_2602]),c_0_1585]),
[final] ).
cnf(c_0_3632,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_2979,c_0_2961]),
[final] ).
cnf(c_0_3633,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_3,e_5,e_2)
| product(e_5,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_2980,c_0_1455]),
[final] ).
cnf(c_0_3634,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_356,c_0_2092]),
[final] ).
cnf(c_0_3635,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_511,c_0_2394]),
[final] ).
cnf(c_0_3636,negated_conjecture,
( ~ product(e_3,e_5,e_1)
| product(e_2,e_4,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_260,c_0_2409]),c_0_1542]),
[final] ).
cnf(c_0_3637,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_511,c_0_2395]),
[final] ).
cnf(c_0_3638,negated_conjecture,
( product(e_5,e_2,e_3)
| product(e_3,e_1,e_4)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_2981,c_0_2067]),
[final] ).
cnf(c_0_3639,negated_conjecture,
( product(e_5,e_2,e_3)
| product(e_3,e_5,e_2)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_2982,c_0_2067]),
[final] ).
cnf(c_0_3640,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_511,c_0_2600]),
[final] ).
cnf(c_0_3641,negated_conjecture,
( ~ product(e_3,e_1,e_2)
| product(e_2,e_4,e_1)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_356,c_0_2983]),
[final] ).
cnf(c_0_3642,negated_conjecture,
( product(e_5,e_2,e_3)
| product(e_2,e_3,e_1)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_2984,c_0_2067]),
[final] ).
cnf(c_0_3643,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_1,e_4)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_2985,c_0_2067]),
[final] ).
cnf(c_0_3644,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_393,c_0_2244]),
[final] ).
cnf(c_0_3645,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_356,c_0_2961]),c_0_1994]),
[final] ).
cnf(c_0_3646,negated_conjecture,
( ~ product(X1,e_4,e_5)
| product(e_5,X1,e_2)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_105,c_0_2986]),
[final] ).
cnf(c_0_3647,negated_conjecture,
( ~ product(X1,e_1,e_5)
| product(e_5,X1,e_3)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_105,c_0_2630]),
[final] ).
cnf(c_0_3648,negated_conjecture,
( ~ product(X1,e_1,e_3)
| product(e_3,X1,e_4)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_105,c_0_2429]),
[final] ).
cnf(c_0_3649,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_2987,c_0_2965]),
[final] ).
cnf(c_0_3650,negated_conjecture,
( ~ product(e_1,e_4,e_3)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_304,c_0_2630]),
[final] ).
cnf(c_0_3651,negated_conjecture,
( ~ product(X1,e_5,e_4)
| product(e_4,X1,e_3)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_105,c_0_2428]),
[final] ).
cnf(c_0_3652,negated_conjecture,
( ~ product(e_1,e_2,e_4)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_337,c_0_2429]),
[final] ).
cnf(c_0_3653,negated_conjecture,
( ~ product(e_5,e_4,e_2)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_413,c_0_2428]),
[final] ).
cnf(c_0_3654,negated_conjecture,
( ~ product(e_3,e_1,e_4)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_333,c_0_2252]),
[final] ).
cnf(c_0_3655,negated_conjecture,
( ~ product(e_2,e_5,e_4)
| product(e_2,e_3,e_1)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_1542,c_0_2005]),
[final] ).
cnf(c_0_3656,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_2980,c_0_2616]),c_0_260]),
[final] ).
cnf(c_0_3657,negated_conjecture,
( ~ product(X1,e_1,e_2)
| product(e_2,X1,e_4)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_2988,c_0_2071]),
[final] ).
cnf(c_0_3658,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2989,c_0_2990]),
[final] ).
cnf(c_0_3659,negated_conjecture,
( ~ product(e_1,e_2,e_5)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_337,c_0_2574]),
[final] ).
cnf(c_0_3660,negated_conjecture,
( ~ product(e_3,e_4,e_5)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_1079,c_0_2397]),
[final] ).
cnf(c_0_3661,negated_conjecture,
( ~ product(e_5,e_1,e_5)
| product(e_3,e_4,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1079,c_0_2150]),c_0_256]),
[final] ).
cnf(c_0_3662,negated_conjecture,
( ~ product(e_5,e_1,e_2)
| product(e_3,e_4,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_417,c_0_2150]),c_0_356]),
[final] ).
cnf(c_0_3663,negated_conjecture,
( ~ product(e_1,e_2,e_5)
| product(e_5,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_337,c_0_2033]),
[final] ).
cnf(c_0_3664,negated_conjecture,
( ~ product(e_1,e_3,e_4)
| product(e_5,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_256,c_0_2033]),
[final] ).
cnf(c_0_3665,negated_conjecture,
( ~ product(e_2,e_4,e_1)
| ~ product(e_5,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_413,c_0_2235]),
[final] ).
cnf(c_0_3666,negated_conjecture,
( ~ product(e_2,e_4,e_1)
| product(e_4,e_5,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2388,c_0_2034]),c_0_304]),
[final] ).
cnf(c_0_3667,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_2410,c_0_2462]),
[final] ).
cnf(c_0_3668,negated_conjecture,
( ~ product(e_2,e_4,e_5)
| product(e_3,e_5,e_2)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_2072,c_0_2462]),
[final] ).
cnf(c_0_3669,negated_conjecture,
( ~ product(X1,e_1,e_5)
| ~ product(e_2,e_3,e_5)
| product(e_5,X1,e_3) ),
inference(spm,[status(thm)],[c_0_2991,c_0_2992]),
[final] ).
cnf(c_0_3670,negated_conjecture,
( ~ product(X1,e_1,e_2)
| ~ product(e_2,e_3,e_5)
| product(e_2,X1,e_5) ),
inference(spm,[status(thm)],[c_0_105,c_0_2992]),
[final] ).
cnf(c_0_3671,negated_conjecture,
( ~ product(X1,e_2,e_4)
| ~ product(e_2,e_3,e_5)
| product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_105,c_0_2631]),
[final] ).
cnf(c_0_3672,negated_conjecture,
( ~ product(e_2,e_4,e_1)
| ~ product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_2873,c_0_2993]),
[final] ).
cnf(c_0_3673,negated_conjecture,
( ~ product(e_2,e_4,e_1)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_2433,c_0_2993]),
[final] ).
cnf(c_0_3674,negated_conjecture,
( ~ product(e_2,e_4,e_1)
| ~ product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_2994,c_0_2993]),
[final] ).
cnf(c_0_3675,negated_conjecture,
( ~ product(e_2,e_4,e_1)
| ~ product(e_5,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_2151,c_0_2993]),
[final] ).
cnf(c_0_3676,negated_conjecture,
( ~ product(e_2,e_4,e_1)
| ~ product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_348,c_0_2993]),
[final] ).
cnf(c_0_3677,negated_conjecture,
( ~ product(e_2,e_4,e_1)
| ~ product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_333,c_0_2034]),
[final] ).
cnf(c_0_3678,negated_conjecture,
( ~ product(e_2,e_4,e_1)
| ~ product(e_5,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_107,c_0_2034]),
[final] ).
cnf(c_0_3679,negated_conjecture,
( ~ product(e_2,e_4,e_1)
| ~ product(e_5,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_356,c_0_2034]),
[final] ).
cnf(c_0_3680,negated_conjecture,
( ~ product(e_2,e_4,e_1)
| ~ product(e_5,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_378,c_0_2034]),
[final] ).
cnf(c_0_3681,negated_conjecture,
( ~ product(e_3,e_5,e_1)
| product(e_5,e_1,e_4)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_2006,c_0_1618]),
[final] ).
cnf(c_0_3682,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_2070,c_0_2462]),
[final] ).
cnf(c_0_3683,negated_conjecture,
( ~ product(e_5,e_1,e_3)
| product(e_3,e_4,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1111,c_0_2141]),c_0_181]),
[final] ).
cnf(c_0_3684,negated_conjecture,
( ~ product(X1,e_1,e_3)
| product(e_3,X1,e_5)
| product(e_5,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_105,c_0_2995]),
[final] ).
cnf(c_0_3685,negated_conjecture,
( ~ product(X1,e_5,e_4)
| product(e_4,X1,e_3)
| product(e_5,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_105,c_0_2301]),
[final] ).
cnf(c_0_3686,negated_conjecture,
( ~ product(X1,e_1,e_5)
| product(e_5,X1,e_3)
| product(e_5,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_105,c_0_2426]),
[final] ).
cnf(c_0_3687,negated_conjecture,
( ~ product(X1,e_1,e_5)
| product(e_5,X1,e_3)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_105,c_0_2996]),
[final] ).
cnf(c_0_3688,negated_conjecture,
( ~ product(X1,e_1,e_5)
| product(e_5,X1,e_3)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_105,c_0_2997]),
[final] ).
cnf(c_0_3689,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_1942,c_0_2998]),c_0_2999]),
[final] ).
cnf(c_0_3690,negated_conjecture,
( ~ product(X1,e_4,e_5)
| ~ product(e_2,e_4,e_1)
| product(e_5,X1,e_2) ),
inference(spm,[status(thm)],[c_0_3000,c_0_2192]),
[final] ).
cnf(c_0_3691,negated_conjecture,
( ~ product(X1,e_4,e_5)
| ~ product(e_2,e_3,e_5)
| product(e_5,X1,e_2) ),
inference(spm,[status(thm)],[c_0_3000,c_0_1123]),
[final] ).
cnf(c_0_3692,negated_conjecture,
( ~ product(e_5,e_3,e_4)
| product(e_1,e_3,e_5)
| product(e_1,e_1,e_2) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1540,c_0_3001]),c_0_1665]),c_0_1683]),
[final] ).
cnf(c_0_3693,negated_conjecture,
( ~ product(X1,e_1,e_3)
| ~ product(e_2,e_4,e_5)
| product(e_3,X1,e_5) ),
inference(spm,[status(thm)],[c_0_2377,c_0_2462]),
[final] ).
cnf(c_0_3694,negated_conjecture,
( ~ product(X1,e_3,e_4)
| ~ product(e_2,e_4,e_5)
| product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_2625,c_0_2462]),
[final] ).
cnf(c_0_3695,negated_conjecture,
( ~ product(e_3,e_2,e_5)
| ~ product(e_1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_256,c_0_2291]),
[final] ).
cnf(c_0_3696,negated_conjecture,
( ~ product(X1,e_1,e_3)
| product(e_3,X1,e_4)
| product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_3002,c_0_1993]),
[final] ).
cnf(c_0_3697,negated_conjecture,
( ~ product(X1,e_1,e_5)
| product(e_5,X1,e_3)
| product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2991,c_0_1993]),
[final] ).
cnf(c_0_3698,negated_conjecture,
( ~ product(X1,e_1,e_2)
| product(e_2,X1,e_5)
| product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_105,c_0_1993]),
[final] ).
cnf(c_0_3699,negated_conjecture,
( ~ product(e_1,e_3,e_4)
| product(e_5,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_256,c_0_2995]),
[final] ).
cnf(c_0_3700,negated_conjecture,
( ~ product(X1,e_1,e_5)
| product(e_5,X1,e_3)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_105,c_0_2422]),
[final] ).
cnf(c_0_3701,negated_conjecture,
( ~ product(X1,e_1,e_5)
| product(e_5,X1,e_3)
| product(e_5,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_105,c_0_3003]),
[final] ).
cnf(c_0_3702,negated_conjecture,
( ~ product(X1,e_1,e_5)
| product(e_5,X1,e_2)
| product(e_5,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_3004,c_0_1663]),
[final] ).
cnf(c_0_3703,negated_conjecture,
( ~ product(X1,e_1,e_5)
| product(e_5,X1,e_2)
| product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_3004,c_0_1486]),
[final] ).
cnf(c_0_3704,negated_conjecture,
( ~ product(X1,e_1,e_5)
| product(e_5,X1,e_3)
| product(e_1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_105,c_0_1874]),
[final] ).
cnf(c_0_3705,negated_conjecture,
( ~ product(X1,e_5,e_3)
| ~ product(e_2,e_4,e_1)
| product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_3005,c_0_2192]),
[final] ).
cnf(c_0_3706,negated_conjecture,
( ~ product(X1,e_5,e_1)
| ~ product(e_2,e_4,e_1)
| product(e_1,X1,e_4) ),
inference(spm,[status(thm)],[c_0_3006,c_0_2192]),
[final] ).
cnf(c_0_3707,negated_conjecture,
( ~ product(e_1,e_4,e_3)
| product(e_5,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_304,c_0_2426]),
[final] ).
cnf(c_0_3708,negated_conjecture,
( ~ product(e_1,e_5,e_2)
| product(e_5,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_413,c_0_2426]),
[final] ).
cnf(c_0_3709,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_5,e_2,e_3) ),
inference(sr,[status(thm)],[c_0_3007,c_0_1928]),
[final] ).
cnf(c_0_3710,negated_conjecture,
( ~ product(X1,e_1,e_2)
| ~ product(e_2,e_4,e_5)
| product(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_2988,c_0_2462]),
[final] ).
cnf(c_0_3711,negated_conjecture,
( ~ product(X1,e_5,e_1)
| ~ product(e_2,e_3,e_5)
| product(e_1,X1,e_4) ),
inference(spm,[status(thm)],[c_0_105,c_0_2998]),
[final] ).
cnf(c_0_3712,negated_conjecture,
( ~ product(X1,e_1,e_2)
| ~ product(e_5,e_3,e_4)
| product(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_105,c_0_3001]),
[final] ).
cnf(c_0_3713,negated_conjecture,
( ~ product(X1,e_1,e_4)
| ~ product(e_2,e_4,e_1)
| product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_3008,c_0_2192]),
[final] ).
cnf(c_0_3714,negated_conjecture,
( ~ product(e_3,e_2,e_4)
| ~ product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_348,c_0_2636]),
[final] ).
cnf(c_0_3715,negated_conjecture,
( ~ product(e_2,e_3,e_5)
| ~ product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_333,c_0_2998]),
[final] ).
cnf(c_0_3716,negated_conjecture,
( ~ product(e_2,e_3,e_5)
| ~ product(e_5,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_356,c_0_2998]),
[final] ).
cnf(c_0_3717,negated_conjecture,
( ~ product(e_2,e_3,e_5)
| ~ product(e_5,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_378,c_0_2998]),
[final] ).
cnf(c_0_3718,negated_conjecture,
( ~ product(e_3,e_2,e_4)
| ~ product(e_5,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_356,c_0_1943]),
[final] ).
cnf(c_0_3719,negated_conjecture,
( ~ product(e_3,e_2,e_4)
| ~ product(e_5,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_378,c_0_1943]),
[final] ).
cnf(c_0_3720,negated_conjecture,
( ~ product(X1,e_5,e_4)
| ~ product(e_2,e_4,e_1)
| product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_3009,c_0_2192]),
[final] ).
cnf(c_0_3721,negated_conjecture,
( product(e_1,e_5,e_3)
| product(e_1,e_2,e_4) ),
inference(sr,[status(thm)],[c_0_1867,c_0_1913]),
[final] ).
cnf(c_0_3722,negated_conjecture,
( ~ product(e_5,e_3,e_4)
| ~ product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_90,c_0_3001]),
[final] ).
cnf(c_0_3723,negated_conjecture,
( ~ product(X1,e_1,e_4)
| ~ product(e_2,e_3,e_5)
| product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_1901,c_0_2978]),
[final] ).
cnf(c_0_3724,negated_conjecture,
( ~ product(X1,e_5,e_4)
| ~ product(e_2,e_3,e_5)
| product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_105,c_0_2978]),
[final] ).
cnf(c_0_3725,negated_conjecture,
( ~ product(e_4,e_5,e_2)
| ~ product(e_5,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_342,c_0_2616]),
[final] ).
cnf(c_0_3726,negated_conjecture,
( ~ product(e_4,e_5,e_3)
| product(e_3,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_3010,c_0_1911]),c_0_1257]),
[final] ).
cnf(c_0_3727,negated_conjecture,
( ~ product(e_4,e_5,e_3)
| product(e_3,e_5,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1931,c_0_1911]),c_0_1257]),
[final] ).
cnf(c_0_3728,negated_conjecture,
( ~ product(e_4,e_5,e_2)
| ~ product(e_5,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_427,c_0_2608]),
[final] ).
cnf(c_0_3729,negated_conjecture,
( ~ product(e_4,e_5,e_3)
| ~ product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_2999,c_0_1911]),
[final] ).
cnf(c_0_3730,negated_conjecture,
( ~ product(e_4,e_5,e_3)
| ~ product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_1719,c_0_1911]),
[final] ).
cnf(c_0_3731,negated_conjecture,
( ~ product(e_4,e_5,e_3)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_2640,c_0_1894]),
[final] ).
cnf(c_0_3732,negated_conjecture,
( ~ product(e_4,e_5,e_3)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_2641,c_0_1894]),
[final] ).
cnf(c_0_3733,negated_conjecture,
( ~ product(e_4,e_5,e_3)
| product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_3011,c_0_1894]),
[final] ).
cnf(c_0_3734,negated_conjecture,
( ~ product(e_4,e_5,e_3)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_3012,c_0_1894]),
[final] ).
cnf(c_0_3735,negated_conjecture,
( ~ product(e_4,e_5,e_3)
| product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_1688,c_0_1894]),
[final] ).
cnf(c_0_3736,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_2,e_5,e_1) ),
inference(sr,[status(thm)],[c_0_3013,c_0_1854]),
[final] ).
cnf(c_0_3737,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[c_0_3014,c_0_1854]),
[final] ).
cnf(c_0_3738,negated_conjecture,
( ~ product(e_5,e_4,e_3)
| ~ product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_3015,c_0_1373]),
[final] ).
cnf(c_0_3739,negated_conjecture,
( ~ product(e_1,e_4,e_3)
| product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_3016,c_0_2113]),
[final] ).
cnf(c_0_3740,negated_conjecture,
( ~ product(e_1,e_4,e_3)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_2640,c_0_2113]),
[final] ).
cnf(c_0_3741,negated_conjecture,
( ~ product(e_1,e_4,e_3)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_2641,c_0_2113]),
[final] ).
cnf(c_0_3742,negated_conjecture,
( ~ product(e_1,e_4,e_3)
| product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_3011,c_0_2113]),
[final] ).
cnf(c_0_3743,negated_conjecture,
( ~ product(e_1,e_4,e_3)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_3012,c_0_2113]),
[final] ).
cnf(c_0_3744,negated_conjecture,
( ~ product(e_1,e_4,e_3)
| product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_1688,c_0_2113]),
[final] ).
cnf(c_0_3745,negated_conjecture,
( ~ product(e_1,e_4,e_3)
| product(e_5,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_1893,c_0_2113]),
[final] ).
cnf(c_0_3746,negated_conjecture,
( product(e_5,e_4,e_2)
| product(e_1,e_4,e_2) ),
inference(sr,[status(thm)],[c_0_3017,c_0_1854]),
[final] ).
cnf(c_0_3747,negated_conjecture,
( product(e_5,e_4,e_3)
| product(e_1,e_5,e_2) ),
inference(sr,[status(thm)],[c_0_1611,c_0_1854]),
[final] ).
cnf(c_0_3748,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_1,e_4,e_2) ),
inference(sr,[status(thm)],[c_0_3018,c_0_1854]),
[final] ).
cnf(c_0_3749,negated_conjecture,
( ~ product(e_1,e_4,e_3)
| ~ product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_90,c_0_2113]),
[final] ).
cnf(c_0_3750,negated_conjecture,
( ~ product(X1,e_1,e_4)
| product(e_4,X1,e_3)
| product(e_3,e_1,e_4)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_105,c_0_3019]),
[final] ).
cnf(c_0_3751,negated_conjecture,
( ~ next(e_1,X2)
| ~ greater(X1,X3)
| ~ cycle(X2,X3)
| ~ cycle(e_0,X1)
| cycle(e_1,e_4)
| product(e_3,e_5,e_1)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_3020,c_0_64]),
[final] ).
cnf(c_0_3752,negated_conjecture,
( ~ next(e_1,X2)
| ~ greater(X1,X3)
| ~ cycle(X2,X3)
| ~ cycle(e_0,X1)
| cycle(e_1,e_4)
| product(e_3,e_2,e_4)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_3021,c_0_64]),
[final] ).
cnf(c_0_3753,negated_conjecture,
( ~ next(e_5,X1)
| ~ greater(e_0,X2)
| ~ cycle(X1,X2)
| cycle(e_1,e_4)
| product(e_3,e_5,e_4)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_2489,c_0_2507]),
[final] ).
cnf(c_0_3754,negated_conjecture,
( ~ next(e_5,X1)
| ~ greater(e_0,X2)
| ~ cycle(X1,X2)
| cycle(e_1,e_4)
| product(e_3,e_5,e_4)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2489,c_0_2508]),
[final] ).
cnf(c_0_3755,negated_conjecture,
( ~ greater(e_0,e_0)
| ~ product(e_1,e_1,e_3)
| cycle(e_1,e_4)
| 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_169,c_0_2507]),c_0_81])]),
[final] ).
cnf(c_0_3756,negated_conjecture,
( ~ greater(e_0,e_0)
| ~ product(e_1,e_1,e_3)
| cycle(e_1,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(spm,[status(thm)],[c_0_169,c_0_2508]),c_0_81])]),
[final] ).
cnf(c_0_3757,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(spm,[status(thm)],[c_0_3022,c_0_2507]),c_0_3023]),
[final] ).
cnf(c_0_3758,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_2479,c_0_2437]),
[final] ).
cnf(c_0_3759,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_3022,c_0_2787]),c_0_89])]),
[final] ).
cnf(c_0_3760,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_3022,c_0_140]),
[final] ).
cnf(c_0_3761,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_3024,c_0_2437]),
[final] ).
cnf(c_0_3762,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_3025,c_0_2198]),
[final] ).
cnf(c_0_3763,negated_conjecture,
( ~ next(e_5,e_1)
| cycle(e_1,e_4)
| product(e_3,e_5,e_1)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_2832,c_0_2507]),
[final] ).
cnf(c_0_3764,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_2832,c_0_2909]),
[final] ).
cnf(c_0_3765,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_2832,c_0_2789]),
[final] ).
cnf(c_0_3766,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_2832,c_0_140]),
[final] ).
cnf(c_0_3767,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_2833,c_0_2437]),
[final] ).
cnf(c_0_3768,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_2329,c_0_2910]),c_0_153])]),
[final] ).
cnf(c_0_3769,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_3026,c_0_81]),
[final] ).
cnf(c_0_3770,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_3027,c_0_89]),
[final] ).
cnf(c_0_3771,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_3028,c_0_138]),
[final] ).
cnf(c_0_3772,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_2914,c_0_2198]),
[final] ).
cnf(c_0_3773,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_2788,c_0_2198]),c_0_683]),c_0_68])]),
[final] ).
cnf(c_0_3774,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_169,c_0_2198]),c_0_683]),c_0_68])]),
[final] ).
cnf(c_0_3775,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_2367,c_0_2198]),c_0_683]),c_0_68])]),
[final] ).
cnf(c_0_3776,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_209,c_0_2198]),c_0_683]),c_0_68])]),
[final] ).
cnf(c_0_3777,negated_conjecture,
( ~ next(e_3,e_1)
| product(e_3,e_5,e_4)
| product(e_3,e_2,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_3029,c_0_2508]),c_0_3030]),
[final] ).
cnf(c_0_3778,negated_conjecture,
( ~ next(e_5,X1)
| ~ greater(e_2,X2)
| ~ cycle(X1,X2)
| product(e_3,e_5,e_4)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2479,c_0_2438]),
[final] ).
cnf(c_0_3779,negated_conjecture,
( ~ cycle(e_4,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_3029,c_0_2787]),c_0_89])]),
[final] ).
cnf(c_0_3780,negated_conjecture,
( ~ next(e_3,e_5)
| product(e_3,e_5,e_4)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_3029,c_0_140]),
[final] ).
cnf(c_0_3781,negated_conjecture,
( ~ next(e_3,e_3)
| product(e_3,e_5,e_4)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_3031,c_0_2438]),
[final] ).
cnf(c_0_3782,negated_conjecture,
( ~ next(e_3,e_2)
| product(e_3,e_5,e_4)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_3032,c_0_2199]),
[final] ).
cnf(c_0_3783,negated_conjecture,
( ~ next(e_5,e_1)
| cycle(e_1,e_4)
| product(e_3,e_2,e_4)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_2835,c_0_2508]),
[final] ).
cnf(c_0_3784,negated_conjecture,
( ~ next(e_5,e_1)
| ~ cycle(e_1,e_5)
| product(e_3,e_2,e_4)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_2835,c_0_2909]),
[final] ).
cnf(c_0_3785,negated_conjecture,
( ~ next(e_5,e_2)
| ~ cycle(e_2,e_5)
| product(e_3,e_2,e_4)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_2835,c_0_2789]),
[final] ).
cnf(c_0_3786,negated_conjecture,
( ~ next(e_5,e_5)
| product(e_3,e_2,e_4)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_2835,c_0_140]),
[final] ).
cnf(c_0_3787,negated_conjecture,
( ~ next(e_5,e_3)
| product(e_3,e_2,e_4)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_2836,c_0_2438]),
[final] ).
cnf(c_0_3788,negated_conjecture,
( ~ cycle(e_3,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_2330,c_0_2910]),c_0_153])]),
[final] ).
cnf(c_0_3789,negated_conjecture,
( ~ next(e_2,X1)
| ~ cycle(X1,e_1)
| product(e_3,e_5,e_4)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_3033,c_0_81]),
[final] ).
cnf(c_0_3790,negated_conjecture,
( ~ next(e_2,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_3034,c_0_89]),
[final] ).
cnf(c_0_3791,negated_conjecture,
( ~ next(e_2,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_3035,c_0_138]),
[final] ).
cnf(c_0_3792,negated_conjecture,
( ~ cycle(e_2,e_2)
| product(e_3,e_2,e_4)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_2914,c_0_2199]),
[final] ).
cnf(c_0_3793,negated_conjecture,
( ~ next(e_2,e_1)
| product(e_3,e_2,e_4)
| 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_2788,c_0_2199]),c_0_683]),c_0_68])]),
[final] ).
cnf(c_0_3794,negated_conjecture,
( ~ next(e_2,e_2)
| product(e_3,e_2,e_4)
| 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_169,c_0_2199]),c_0_683]),c_0_68])]),
[final] ).
cnf(c_0_3795,negated_conjecture,
( ~ next(e_2,e_4)
| product(e_3,e_2,e_4)
| 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_2367,c_0_2199]),c_0_683]),c_0_68])]),
[final] ).
cnf(c_0_3796,negated_conjecture,
( ~ next(e_2,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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_209,c_0_2199]),c_0_683]),c_0_68])]),
[final] ).
cnf(c_0_3797,negated_conjecture,
( ~ product(X1,e_5,e_3)
| product(e_3,X1,e_2)
| product(e_3,e_1,e_4)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_105,c_0_2037]),
[final] ).
cnf(c_0_3798,negated_conjecture,
( ~ product(X1,e_1,e_3)
| ~ product(e_2,e_5,e_1)
| product(e_3,X1,e_5) ),
inference(spm,[status(thm)],[c_0_105,c_0_3036]),
[final] ).
cnf(c_0_3799,negated_conjecture,
( ~ product(X1,e_1,e_3)
| ~ product(e_2,e_3,e_4)
| product(e_3,X1,e_5) ),
inference(spm,[status(thm)],[c_0_105,c_0_3037]),
[final] ).
cnf(c_0_3800,negated_conjecture,
( ~ product(e_3,e_5,e_4)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_1542,c_0_2031]),
[final] ).
cnf(c_0_3801,negated_conjecture,
( ~ product(e_2,e_5,e_1)
| ~ product(e_1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_256,c_0_3036]),
[final] ).
cnf(c_0_3802,negated_conjecture,
( ~ product(X1,e_3,e_4)
| ~ product(e_2,e_5,e_1)
| product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_105,c_0_2653]),
[final] ).
cnf(c_0_3803,negated_conjecture,
( ~ product(X1,e_3,e_4)
| ~ product(e_2,e_3,e_4)
| product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_105,c_0_2020]),
[final] ).
cnf(c_0_3804,negated_conjecture,
( ~ product(e_2,e_5,e_1)
| ~ product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_1079,c_0_2653]),
[final] ).
cnf(c_0_3805,negated_conjecture,
( ~ product(e_2,e_3,e_4)
| ~ product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_1079,c_0_2020]),
[final] ).
cnf(c_0_3806,negated_conjecture,
( ~ product(e_4,e_2,e_1)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_2994,c_0_1995]),
[final] ).
cnf(c_0_3807,negated_conjecture,
( ~ product(X1,e_5,e_2)
| product(e_2,X1,e_3)
| product(e_3,e_5,e_1)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_105,c_0_3038]),
[final] ).
cnf(c_0_3808,negated_conjecture,
( ~ product(X1,e_5,e_2)
| product(e_2,X1,e_3)
| product(e_3,e_2,e_4)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_105,c_0_3039]),
[final] ).
cnf(c_0_3809,negated_conjecture,
( ~ product(X1,e_3,e_1)
| product(e_1,X1,e_4)
| product(e_3,e_5,e_4)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_105,c_0_2096]),
[final] ).
cnf(c_0_3810,negated_conjecture,
( ~ product(X1,e_1,e_5)
| product(e_5,X1,e_2)
| product(e_3,e_1,e_4)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_105,c_0_2405]),
[final] ).
cnf(c_0_3811,negated_conjecture,
( ~ product(X1,e_5,e_4)
| product(e_4,X1,e_2)
| product(e_3,e_1,e_4)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_105,c_0_2654]),
[final] ).
cnf(c_0_3812,negated_conjecture,
( ~ product(X1,e_1,e_5)
| product(e_5,X1,e_2)
| product(e_3,e_1,e_4)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_105,c_0_2406]),
[final] ).
cnf(c_0_3813,negated_conjecture,
( ~ product(X1,e_5,e_4)
| product(e_4,X1,e_2)
| product(e_3,e_1,e_4)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_105,c_0_2655]),
[final] ).
cnf(c_0_3814,negated_conjecture,
( ~ product(X1,e_3,e_1)
| product(e_1,X1,e_4)
| product(e_3,e_5,e_4)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_105,c_0_2097]),
[final] ).
cnf(c_0_3815,negated_conjecture,
( ~ product(X1,e_4,e_5)
| product(e_5,X1,e_3)
| product(e_3,e_1,e_4)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_105,c_0_2074]),
[final] ).
cnf(c_0_3816,negated_conjecture,
( ~ product(X1,e_4,e_5)
| product(e_5,X1,e_3)
| product(e_3,e_1,e_4)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_105,c_0_2076]),
[final] ).
cnf(c_0_3817,negated_conjecture,
( ~ product(X1,e_5,e_3)
| product(e_3,X1,e_2)
| product(e_3,e_1,e_4)
| product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_105,c_0_2047]),
[final] ).
cnf(c_0_3818,negated_conjecture,
( ~ product(X1,e_5,e_2)
| product(e_2,X1,e_3)
| product(e_3,e_4,e_5)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_105,c_0_3040]),
[final] ).
cnf(c_0_3819,negated_conjecture,
( ~ product(X1,e_5,e_3)
| product(e_3,X1,e_2)
| product(e_3,e_5,e_2)
| product(e_5,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_105,c_0_2627]),
[final] ).
cnf(c_0_3820,negated_conjecture,
( ~ product(e_3,e_5,e_2)
| product(e_1,e_5,e_4)
| product(e_1,e_5,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_3041,c_0_3042]),c_0_90]),
[final] ).
cnf(c_0_3821,negated_conjecture,
( ~ product(e_5,e_4,e_3)
| product(e_3,e_5,e_1)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_3043,c_0_1373]),
[final] ).
cnf(c_0_3822,negated_conjecture,
( ~ product(e_3,e_1,e_2)
| product(e_3,e_5,e_4)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_356,c_0_2096]),
[final] ).
cnf(c_0_3823,negated_conjecture,
( ~ product(e_5,e_4,e_3)
| product(e_3,e_2,e_4)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_3044,c_0_1373]),
[final] ).
cnf(c_0_3824,negated_conjecture,
( ~ product(e_3,e_1,e_2)
| product(e_3,e_5,e_4)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_356,c_0_2097]),
[final] ).
cnf(c_0_3825,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_511,c_0_2074]),
[final] ).
cnf(c_0_3826,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_511,c_0_2076]),
[final] ).
cnf(c_0_3827,plain,
( ~ product(e_4,e_3,e_1)
| product(e_5,e_3,e_2)
| product(e_5,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_348,c_0_1953]),
[final] ).
cnf(c_0_3828,plain,
( ~ product(e_5,e_2,e_1)
| product(e_5,e_3,e_2)
| product(e_5,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_337,c_0_1953]),
[final] ).
cnf(c_0_3829,negated_conjecture,
( ~ product(X1,e_5,e_2)
| ~ product(e_4,e_2,e_1)
| product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_105,c_0_3045]),
[final] ).
cnf(c_0_3830,negated_conjecture,
( ~ product(X1,e_5,e_2)
| product(e_2,X1,e_1)
| product(e_4,e_5,e_3)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_105,c_0_1895]),
[final] ).
cnf(c_0_3831,negated_conjecture,
( ~ product(X1,e_5,e_2)
| product(e_2,X1,e_1)
| product(e_3,e_5,e_4)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_105,c_0_3046]),
[final] ).
cnf(c_0_3832,negated_conjecture,
( ~ product(X1,e_5,e_2)
| product(e_2,X1,e_1)
| product(e_3,e_5,e_4)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_105,c_0_3047]),
[final] ).
cnf(c_0_3833,negated_conjecture,
( ~ product(X1,e_5,e_2)
| product(e_2,X1,e_1)
| product(e_3,e_5,e_4)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_105,c_0_3048]),
[final] ).
cnf(c_0_3834,negated_conjecture,
( ~ product(X1,e_5,e_2)
| product(e_2,X1,e_1)
| product(e_3,e_5,e_4)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_105,c_0_3049]),
[final] ).
cnf(c_0_3835,negated_conjecture,
( ~ product(e_4,e_3,e_1)
| product(e_4,e_5,e_3)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_312,c_0_1855]),
[final] ).
cnf(c_0_3836,negated_conjecture,
( ~ product(X1,e_5,e_3)
| product(e_3,X1,e_2)
| product(e_3,e_5,e_4)
| product(e_4,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_105,c_0_2010]),
[final] ).
cnf(c_0_3837,negated_conjecture,
( ~ product(e_4,e_3,e_1)
| product(e_3,e_5,e_4)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_312,c_0_2046]),
[final] ).
cnf(c_0_3838,negated_conjecture,
( ~ product(e_4,e_3,e_1)
| product(e_3,e_5,e_4)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_312,c_0_2441]),
[final] ).
cnf(c_0_3839,negated_conjecture,
( ~ product(e_3,e_5,e_2)
| ~ product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_312,c_0_2065]),
[final] ).
cnf(c_0_3840,negated_conjecture,
( ~ product(e_3,e_5,e_2)
| ~ product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_1111,c_0_2065]),
[final] ).
cnf(c_0_3841,negated_conjecture,
( ~ product(e_4,e_3,e_1)
| product(e_3,e_5,e_4)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_312,c_0_2048]),
[final] ).
cnf(c_0_3842,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_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_2892,c_0_2212]),
[final] ).
cnf(c_0_3843,negated_conjecture,
( ~ product(X1,e_1,e_4)
| product(e_4,X1,e_3)
| product(e_2,e_3,e_1)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_105,c_0_3050]),
[final] ).
cnf(c_0_3844,negated_conjecture,
( ~ next(e_1,X2)
| ~ greater(X1,X3)
| ~ cycle(X2,X3)
| ~ cycle(e_0,X1)
| cycle(e_1,e_4)
| product(e_3,e_4,e_5)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_3051,c_0_64]),
[final] ).
cnf(c_0_3845,negated_conjecture,
( ~ next(e_5,X1)
| ~ greater(e_0,X2)
| ~ cycle(X1,X2)
| cycle(e_1,e_4)
| product(e_3,e_5,e_4)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_2489,c_0_2509]),
[final] ).
cnf(c_0_3846,negated_conjecture,
( ~ greater(e_0,e_0)
| ~ product(e_1,e_1,e_3)
| cycle(e_1,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(spm,[status(thm)],[c_0_169,c_0_2509]),c_0_81])]),
[final] ).
cnf(c_0_3847,negated_conjecture,
( ~ next(e_3,e_1)
| product(e_3,e_5,e_4)
| product(e_3,e_4,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_3052,c_0_2509]),c_0_3053]),
[final] ).
cnf(c_0_3848,negated_conjecture,
( ~ next(e_5,X1)
| ~ greater(e_2,X2)
| ~ cycle(X1,X2)
| product(e_3,e_5,e_4)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_2479,c_0_2444]),
[final] ).
cnf(c_0_3849,negated_conjecture,
( ~ cycle(e_4,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_3052,c_0_2787]),c_0_89])]),
[final] ).
cnf(c_0_3850,negated_conjecture,
( ~ next(e_3,e_5)
| product(e_3,e_5,e_4)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_3052,c_0_140]),
[final] ).
cnf(c_0_3851,negated_conjecture,
( ~ next(e_3,e_3)
| product(e_3,e_5,e_4)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_3054,c_0_2444]),
[final] ).
cnf(c_0_3852,negated_conjecture,
( ~ next(e_3,e_2)
| product(e_3,e_5,e_4)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_3055,c_0_2202]),
[final] ).
cnf(c_0_3853,negated_conjecture,
( ~ next(e_5,e_1)
| cycle(e_1,e_4)
| product(e_3,e_4,e_5)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_2838,c_0_2509]),
[final] ).
cnf(c_0_3854,negated_conjecture,
( ~ next(e_5,e_1)
| ~ cycle(e_1,e_5)
| product(e_3,e_4,e_5)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_2838,c_0_2909]),
[final] ).
cnf(c_0_3855,negated_conjecture,
( ~ next(e_5,e_2)
| ~ cycle(e_2,e_5)
| product(e_3,e_4,e_5)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_2838,c_0_2789]),
[final] ).
cnf(c_0_3856,negated_conjecture,
( ~ next(e_5,e_5)
| product(e_3,e_4,e_5)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_2838,c_0_140]),
[final] ).
cnf(c_0_3857,negated_conjecture,
( ~ next(e_5,e_3)
| product(e_3,e_4,e_5)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_2839,c_0_2444]),
[final] ).
cnf(c_0_3858,negated_conjecture,
( ~ cycle(e_3,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_2334,c_0_2910]),c_0_153])]),
[final] ).
cnf(c_0_3859,negated_conjecture,
( ~ next(e_2,X1)
| ~ cycle(X1,e_1)
| product(e_3,e_5,e_4)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_3056,c_0_81]),
[final] ).
cnf(c_0_3860,negated_conjecture,
( ~ next(e_2,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_3057,c_0_89]),
[final] ).
cnf(c_0_3861,negated_conjecture,
( ~ next(e_2,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_3058,c_0_138]),
[final] ).
cnf(c_0_3862,negated_conjecture,
( ~ cycle(e_2,e_2)
| product(e_3,e_4,e_5)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_2914,c_0_2202]),
[final] ).
cnf(c_0_3863,negated_conjecture,
( ~ next(e_2,e_1)
| product(e_3,e_4,e_5)
| 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_2788,c_0_2202]),c_0_683]),c_0_68])]),
[final] ).
cnf(c_0_3864,negated_conjecture,
( ~ next(e_2,e_2)
| product(e_3,e_4,e_5)
| 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_169,c_0_2202]),c_0_683]),c_0_68])]),
[final] ).
cnf(c_0_3865,negated_conjecture,
( ~ next(e_2,e_4)
| product(e_3,e_4,e_5)
| 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_2367,c_0_2202]),c_0_683]),c_0_68])]),
[final] ).
cnf(c_0_3866,negated_conjecture,
( ~ next(e_2,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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_209,c_0_2202]),c_0_683]),c_0_68])]),
[final] ).
cnf(c_0_3867,negated_conjecture,
( ~ product(X1,e_3,e_1)
| product(e_1,X1,e_4)
| product(e_3,e_5,e_4)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_105,c_0_1968]),
[final] ).
cnf(c_0_3868,negated_conjecture,
( ~ product(X1,e_1,e_5)
| product(e_5,X1,e_2)
| product(e_3,e_1,e_4)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_105,c_0_2436]),
[final] ).
cnf(c_0_3869,negated_conjecture,
( ~ product(X1,e_5,e_4)
| product(e_4,X1,e_2)
| product(e_3,e_1,e_4)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_105,c_0_2656]),
[final] ).
cnf(c_0_3870,negated_conjecture,
( ~ product(X1,e_4,e_5)
| product(e_5,X1,e_3)
| product(e_3,e_4,e_5)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_105,c_0_1933]),
[final] ).
cnf(c_0_3871,negated_conjecture,
( ~ product(e_3,e_1,e_2)
| product(e_3,e_5,e_4)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_356,c_0_1968]),
[final] ).
cnf(c_0_3872,negated_conjecture,
( ~ product(e_5,e_4,e_3)
| product(e_3,e_4,e_5)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_3059,c_0_1373]),
[final] ).
cnf(c_0_3873,negated_conjecture,
( ~ next(e_1,X2)
| ~ greater(X1,X3)
| ~ cycle(X2,X3)
| ~ cycle(e_0,X1)
| cycle(e_1,e_4)
| product(e_3,e_5,e_1)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_3060,c_0_64]),
[final] ).
cnf(c_0_3874,negated_conjecture,
( ~ next(e_5,X1)
| ~ greater(e_0,X2)
| ~ cycle(X1,X2)
| cycle(e_1,e_4)
| product(e_2,e_5,e_1)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_2489,c_0_2510]),
[final] ).
cnf(c_0_3875,negated_conjecture,
( ~ greater(e_0,e_0)
| ~ product(e_1,e_1,e_3)
| cycle(e_1,e_4)
| 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_169,c_0_2510]),c_0_81])]),
[final] ).
cnf(c_0_3876,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(spm,[status(thm)],[c_0_3061,c_0_2510]),c_0_3062]),
[final] ).
cnf(c_0_3877,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_2479,c_0_2445]),
[final] ).
cnf(c_0_3878,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_3061,c_0_2787]),c_0_89])]),
[final] ).
cnf(c_0_3879,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_3061,c_0_140]),
[final] ).
cnf(c_0_3880,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_3063,c_0_2445]),
[final] ).
cnf(c_0_3881,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_3064,c_0_2203]),
[final] ).
cnf(c_0_3882,negated_conjecture,
( ~ next(e_5,e_1)
| cycle(e_1,e_4)
| product(e_3,e_5,e_1)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_2841,c_0_2510]),
[final] ).
cnf(c_0_3883,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_2841,c_0_2909]),
[final] ).
cnf(c_0_3884,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_2841,c_0_2789]),
[final] ).
cnf(c_0_3885,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_2841,c_0_140]),
[final] ).
cnf(c_0_3886,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_2842,c_0_2445]),
[final] ).
cnf(c_0_3887,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_2335,c_0_2910]),c_0_153])]),
[final] ).
cnf(c_0_3888,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_3065,c_0_81]),
[final] ).
cnf(c_0_3889,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_3066,c_0_89]),
[final] ).
cnf(c_0_3890,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_3067,c_0_138]),
[final] ).
cnf(c_0_3891,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_2914,c_0_2203]),
[final] ).
cnf(c_0_3892,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_2788,c_0_2203]),c_0_683]),c_0_68])]),
[final] ).
cnf(c_0_3893,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_169,c_0_2203]),c_0_683]),c_0_68])]),
[final] ).
cnf(c_0_3894,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_2367,c_0_2203]),c_0_683]),c_0_68])]),
[final] ).
cnf(c_0_3895,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_209,c_0_2203]),c_0_683]),c_0_68])]),
[final] ).
cnf(c_0_3896,negated_conjecture,
( ~ product(X1,e_3,e_1)
| product(e_1,X1,e_4)
| product(e_2,e_5,e_1)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_105,c_0_2098]),
[final] ).
cnf(c_0_3897,negated_conjecture,
( ~ product(X1,e_5,e_3)
| product(e_3,X1,e_2)
| product(e_3,e_1,e_4)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_105,c_0_2077]),
[final] ).
cnf(c_0_3898,negated_conjecture,
( ~ product(e_3,e_1,e_2)
| product(e_2,e_5,e_1)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_356,c_0_2098]),
[final] ).
cnf(c_0_3899,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_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_2890,c_0_2461]),
[final] ).
cnf(c_0_3900,negated_conjecture,
( ~ next(e_1,e_3)
| cycle(e_1,e_3)
| cycle(e_1,e_0)
| product(e_3,e_4,e_5)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_2891,c_0_2461]),
[final] ).
cnf(c_0_3901,negated_conjecture,
( ~ next(e_1,X2)
| ~ greater(X1,X3)
| ~ cycle(X2,X3)
| ~ cycle(e_0,X1)
| cycle(e_1,e_4)
| product(e_3,e_5,e_1)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_3068,c_0_64]),
[final] ).
cnf(c_0_3902,negated_conjecture,
( ~ next(e_5,X1)
| ~ greater(e_0,X2)
| ~ cycle(X1,X2)
| cycle(e_1,e_4)
| product(e_2,e_3,e_4)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_2489,c_0_2511]),
[final] ).
cnf(c_0_3903,negated_conjecture,
( ~ greater(e_0,e_0)
| ~ product(e_1,e_1,e_3)
| cycle(e_1,e_4)
| 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_169,c_0_2511]),c_0_81])]),
[final] ).
cnf(c_0_3904,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(spm,[status(thm)],[c_0_3069,c_0_2511]),c_0_3070]),
[final] ).
cnf(c_0_3905,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_2479,c_0_2446]),
[final] ).
cnf(c_0_3906,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_3069,c_0_2787]),c_0_89])]),
[final] ).
cnf(c_0_3907,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_3069,c_0_140]),
[final] ).
cnf(c_0_3908,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_3071,c_0_2446]),
[final] ).
cnf(c_0_3909,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_3072,c_0_2204]),
[final] ).
cnf(c_0_3910,negated_conjecture,
( ~ next(e_5,e_1)
| cycle(e_1,e_4)
| product(e_3,e_5,e_1)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_2844,c_0_2511]),
[final] ).
cnf(c_0_3911,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_2844,c_0_2909]),
[final] ).
cnf(c_0_3912,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_2844,c_0_2789]),
[final] ).
cnf(c_0_3913,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_2845,c_0_2446]),
[final] ).
cnf(c_0_3914,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_2844,c_0_140]),
[final] ).
cnf(c_0_3915,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_2336,c_0_2910]),c_0_153])]),
[final] ).
cnf(c_0_3916,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_3073,c_0_81]),
[final] ).
cnf(c_0_3917,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_3074,c_0_89]),
[final] ).
cnf(c_0_3918,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_3075,c_0_138]),
[final] ).
cnf(c_0_3919,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_2914,c_0_2204]),
[final] ).
cnf(c_0_3920,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_2788,c_0_2204]),c_0_683]),c_0_68])]),
[final] ).
cnf(c_0_3921,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_169,c_0_2204]),c_0_683]),c_0_68])]),
[final] ).
cnf(c_0_3922,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_2367,c_0_2204]),c_0_683]),c_0_68])]),
[final] ).
cnf(c_0_3923,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_209,c_0_2204]),c_0_683]),c_0_68])]),
[final] ).
cnf(c_0_3924,negated_conjecture,
( ~ product(X1,e_3,e_1)
| product(e_1,X1,e_4)
| product(e_2,e_3,e_4)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_105,c_0_2099]),
[final] ).
cnf(c_0_3925,negated_conjecture,
( ~ product(X1,e_5,e_3)
| product(e_3,X1,e_2)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_105,c_0_2078]),
[final] ).
cnf(c_0_3926,negated_conjecture,
( ~ product(X1,e_5,e_2)
| product(e_2,X1,e_3)
| product(e_2,e_3,e_1)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_105,c_0_3076]),
[final] ).
cnf(c_0_3927,negated_conjecture,
( ~ next(e_1,X2)
| ~ greater(X1,X3)
| ~ cycle(X2,X3)
| ~ cycle(e_0,X1)
| cycle(e_1,e_4)
| product(e_2,e_3,e_5)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_3077,c_0_64]),
[final] ).
cnf(c_0_3928,negated_conjecture,
( ~ product(X1,e_1,e_4)
| product(e_4,X1,e_3)
| product(e_3,e_5,e_2)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_105,c_0_3078]),
[final] ).
cnf(c_0_3929,negated_conjecture,
( ~ next(e_5,X1)
| ~ greater(e_0,X2)
| ~ cycle(X1,X2)
| cycle(e_1,e_4)
| product(e_3,e_5,e_4)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_2489,c_0_2512]),
[final] ).
cnf(c_0_3930,negated_conjecture,
( ~ greater(e_0,e_0)
| ~ product(e_1,e_1,e_3)
| cycle(e_1,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(spm,[status(thm)],[c_0_169,c_0_2512]),c_0_81])]),
[final] ).
cnf(c_0_3931,negated_conjecture,
( ~ next(e_3,e_1)
| product(e_3,e_5,e_4)
| product(e_2,e_3,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_3079,c_0_2512]),c_0_3080]),
[final] ).
cnf(c_0_3932,negated_conjecture,
( ~ next(e_5,X1)
| ~ greater(e_2,X2)
| ~ cycle(X1,X2)
| product(e_3,e_5,e_4)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_2479,c_0_2448]),
[final] ).
cnf(c_0_3933,negated_conjecture,
( ~ cycle(e_4,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_3079,c_0_2787]),c_0_89])]),
[final] ).
cnf(c_0_3934,negated_conjecture,
( ~ next(e_3,e_5)
| product(e_3,e_5,e_4)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_3079,c_0_140]),
[final] ).
cnf(c_0_3935,negated_conjecture,
( ~ next(e_3,e_3)
| product(e_3,e_5,e_4)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_3081,c_0_2448]),
[final] ).
cnf(c_0_3936,negated_conjecture,
( ~ next(e_3,e_2)
| product(e_3,e_5,e_4)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_3082,c_0_2205]),
[final] ).
cnf(c_0_3937,negated_conjecture,
( ~ next(e_5,e_1)
| cycle(e_1,e_4)
| product(e_2,e_3,e_5)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_2848,c_0_2512]),
[final] ).
cnf(c_0_3938,negated_conjecture,
( ~ next(e_5,e_1)
| ~ cycle(e_1,e_5)
| product(e_2,e_3,e_5)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_2848,c_0_2909]),
[final] ).
cnf(c_0_3939,negated_conjecture,
( ~ next(e_5,e_2)
| ~ cycle(e_2,e_5)
| product(e_2,e_3,e_5)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_2848,c_0_2789]),
[final] ).
cnf(c_0_3940,negated_conjecture,
( ~ next(e_5,e_5)
| product(e_2,e_3,e_5)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_2848,c_0_140]),
[final] ).
cnf(c_0_3941,negated_conjecture,
( ~ next(e_5,e_3)
| product(e_2,e_3,e_5)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_2849,c_0_2448]),
[final] ).
cnf(c_0_3942,negated_conjecture,
( ~ cycle(e_3,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_2338,c_0_2910]),c_0_153])]),
[final] ).
cnf(c_0_3943,negated_conjecture,
( ~ next(e_2,X1)
| ~ cycle(X1,e_1)
| product(e_3,e_5,e_4)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_3083,c_0_81]),
[final] ).
cnf(c_0_3944,negated_conjecture,
( ~ next(e_2,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_3084,c_0_89]),
[final] ).
cnf(c_0_3945,negated_conjecture,
( ~ next(e_2,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_3085,c_0_138]),
[final] ).
cnf(c_0_3946,negated_conjecture,
( ~ cycle(e_2,e_2)
| product(e_2,e_3,e_5)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_2914,c_0_2205]),
[final] ).
cnf(c_0_3947,negated_conjecture,
( ~ next(e_2,e_1)
| product(e_2,e_3,e_5)
| 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_2788,c_0_2205]),c_0_683]),c_0_68])]),
[final] ).
cnf(c_0_3948,negated_conjecture,
( ~ next(e_2,e_2)
| product(e_2,e_3,e_5)
| 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_169,c_0_2205]),c_0_683]),c_0_68])]),
[final] ).
cnf(c_0_3949,negated_conjecture,
( ~ next(e_2,e_4)
| product(e_2,e_3,e_5)
| 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_2367,c_0_2205]),c_0_683]),c_0_68])]),
[final] ).
cnf(c_0_3950,negated_conjecture,
( ~ next(e_2,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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_209,c_0_2205]),c_0_683]),c_0_68])]),
[final] ).
cnf(c_0_3951,negated_conjecture,
( ~ product(X1,e_1,e_4)
| product(e_4,X1,e_3)
| product(e_5,e_3,e_4)
| product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_105,c_0_3086]),
[final] ).
cnf(c_0_3952,negated_conjecture,
( ~ product(X1,e_5,e_3)
| product(e_3,X1,e_2)
| product(e_3,e_5,e_4)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_105,c_0_2610]),
[final] ).
cnf(c_0_3953,negated_conjecture,
( ~ product(X1,e_5,e_3)
| product(e_3,X1,e_2)
| product(e_3,e_5,e_4)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_105,c_0_3087]),
[final] ).
cnf(c_0_3954,negated_conjecture,
( ~ product(X1,e_3,e_5)
| product(e_5,X1,e_4)
| product(e_2,e_3,e_1)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_105,c_0_2661]),
[final] ).
cnf(c_0_3955,negated_conjecture,
( ~ product(X1,e_3,e_5)
| product(e_5,X1,e_1)
| product(e_3,e_5,e_4)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_105,c_0_2243]),
[final] ).
cnf(c_0_3956,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_333,c_0_3088]),c_0_338]),
[final] ).
cnf(c_0_3957,negated_conjecture,
( ~ product(e_4,e_3,e_2)
| product(e_3,e_5,e_4)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_348,c_0_2610]),
[final] ).
cnf(c_0_3958,negated_conjecture,
( ~ product(e_4,e_3,e_2)
| product(e_3,e_5,e_4)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_348,c_0_3087]),
[final] ).
cnf(c_0_3959,negated_conjecture,
( ~ product(X1,e_3,e_1)
| product(e_1,X1,e_4)
| product(e_3,e_5,e_4)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_105,c_0_2100]),
[final] ).
cnf(c_0_3960,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_427,c_0_3089]),c_0_2999]),
[final] ).
cnf(c_0_3961,negated_conjecture,
( ~ product(e_2,e_5,e_4)
| product(e_2,e_3,e_1)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_393,c_0_2661]),
[final] ).
cnf(c_0_3962,negated_conjecture,
( ~ product(e_3,e_4,e_5)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_1079,c_0_1822]),
[final] ).
cnf(c_0_3963,negated_conjecture,
( ~ product(e_2,e_5,e_4)
| product(e_2,e_3,e_1)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_393,c_0_2450]),
[final] ).
cnf(c_0_3964,negated_conjecture,
( ~ product(e_3,e_1,e_2)
| product(e_3,e_5,e_4)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_356,c_0_2100]),
[final] ).
cnf(c_0_3965,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_5)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_3090,c_0_1797]),
[final] ).
cnf(c_0_3966,negated_conjecture,
( ~ product(e_4,e_2,e_1)
| product(e_3,e_5,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1931,c_0_2440]),c_0_1257]),
[final] ).
cnf(c_0_3967,negated_conjecture,
( ~ product(e_5,e_2,e_3)
| product(e_3,e_5,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1931,c_0_1944]),c_0_1257]),
[final] ).
cnf(c_0_3968,negated_conjecture,
( ~ product(X1,e_1,e_4)
| product(e_4,X1,e_3)
| product(e_3,e_5,e_2)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_105,c_0_3091]),
[final] ).
cnf(c_0_3969,negated_conjecture,
( ~ product(X1,e_1,e_4)
| product(e_4,X1,e_3)
| product(e_2,e_3,e_1)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_105,c_0_3092]),
[final] ).
cnf(c_0_3970,negated_conjecture,
( ~ product(X1,e_5,e_2)
| product(e_2,X1,e_3)
| product(e_2,e_3,e_1)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_105,c_0_3093]),
[final] ).
cnf(c_0_3971,negated_conjecture,
( ~ product(X1,e_5,e_2)
| product(e_2,X1,e_3)
| product(e_2,e_3,e_1)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_105,c_0_3094]),
[final] ).
cnf(c_0_3972,negated_conjecture,
( ~ product(X1,e_1,e_4)
| product(e_4,X1,e_3)
| product(e_2,e_3,e_1)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_105,c_0_3095]),
[final] ).
cnf(c_0_3973,negated_conjecture,
( ~ product(X1,e_5,e_4)
| product(e_4,X1,e_2)
| product(e_3,e_5,e_1)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_105,c_0_1979]),
[final] ).
cnf(c_0_3974,negated_conjecture,
( ~ product(X1,e_1,e_5)
| product(e_5,X1,e_2)
| product(e_2,e_3,e_1)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_105,c_0_1957]),
[final] ).
cnf(c_0_3975,negated_conjecture,
( ~ product(e_5,e_4,e_3)
| product(e_3,e_5,e_1)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_3096,c_0_1373]),
[final] ).
cnf(c_0_3976,negated_conjecture,
( ~ product(e_1,e_2,e_5)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_337,c_0_2200]),
[final] ).
cnf(c_0_3977,negated_conjecture,
( ~ product(e_1,e_3,e_4)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_256,c_0_2200]),
[final] ).
cnf(c_0_3978,negated_conjecture,
( ~ product(X1,e_5,e_2)
| product(e_2,X1,e_1)
| product(e_4,e_5,e_3)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_105,c_0_1900]),
[final] ).
cnf(c_0_3979,negated_conjecture,
( ~ product(e_4,e_3,e_1)
| product(e_4,e_5,e_3)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_312,c_0_1861]),
[final] ).
cnf(c_0_3980,negated_conjecture,
( ~ product(X1,e_1,e_4)
| product(e_4,X1,e_3)
| product(e_3,e_5,e_2)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_105,c_0_3097]),
[final] ).
cnf(c_0_3981,negated_conjecture,
( ~ product(e_5,e_4,e_2)
| product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_427,c_0_1664]),
[final] ).
cnf(c_0_3982,negated_conjecture,
( ~ product(X1,e_1,e_5)
| product(e_5,X1,e_2)
| product(e_3,e_5,e_2)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_105,c_0_1871]),
[final] ).
cnf(c_0_3983,negated_conjecture,
( ~ product(e_1,e_4,e_2)
| product(e_3,e_5,e_2)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_304,c_0_1871]),
[final] ).
cnf(c_0_3984,negated_conjecture,
( ~ product(X1,e_1,e_5)
| product(e_5,X1,e_2)
| product(e_5,e_3,e_4)
| product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_105,c_0_2449]),
[final] ).
cnf(c_0_3985,negated_conjecture,
( ~ product(e_4,e_5,e_2)
| product(e_5,e_3,e_4)
| product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_258,c_0_2449]),
[final] ).
cnf(c_0_3986,negated_conjecture,
( ~ product(e_1,e_4,e_2)
| product(e_5,e_3,e_4)
| product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_304,c_0_2449]),
[final] ).
cnf(c_0_3987,negated_conjecture,
( ~ product(e_1,e_2,e_5)
| product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_1923,c_0_1825]),
[final] ).
cnf(c_0_3988,negated_conjecture,
( ~ next(e_4,e_2)
| cycle(e_4,e_4)
| 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_2892,c_0_2213]),
[final] ).
cnf(c_0_3989,negated_conjecture,
( ~ product(X1,e_1,e_5)
| product(e_5,X1,e_2)
| product(e_3,e_5,e_2)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_105,c_0_2451]),
[final] ).
cnf(c_0_3990,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_304,c_0_2451]),
[final] ).
cnf(c_0_3991,negated_conjecture,
( ~ product(X1,e_1,e_5)
| product(e_5,X1,e_2)
| product(e_2,e_3,e_1)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_105,c_0_2452]),
[final] ).
cnf(c_0_3992,negated_conjecture,
( ~ product(X1,e_5,e_4)
| product(e_4,X1,e_2)
| product(e_2,e_3,e_1)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_105,c_0_2453]),
[final] ).
cnf(c_0_3993,negated_conjecture,
( ~ product(X1,e_5,e_4)
| product(e_4,X1,e_2)
| product(e_2,e_3,e_1)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_105,c_0_1823]),
[final] ).
cnf(c_0_3994,negated_conjecture,
( ~ product(X1,e_1,e_5)
| product(e_5,X1,e_2)
| product(e_2,e_3,e_1)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_105,c_0_2454]),
[final] ).
cnf(c_0_3995,negated_conjecture,
( ~ product(X1,e_4,e_5)
| product(e_5,X1,e_3)
| product(e_3,e_5,e_1)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_105,c_0_1890]),
[final] ).
cnf(c_0_3996,negated_conjecture,
( ~ product(X1,e_4,e_5)
| product(e_5,X1,e_3)
| product(e_3,e_5,e_2)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_105,c_0_1853]),
[final] ).
cnf(c_0_3997,negated_conjecture,
( ~ product(X1,e_4,e_5)
| product(e_5,X1,e_3)
| product(e_2,e_3,e_1)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_105,c_0_1880]),
[final] ).
cnf(c_0_3998,negated_conjecture,
( ~ product(X1,e_4,e_5)
| product(e_5,X1,e_3)
| product(e_2,e_3,e_1)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_105,c_0_1812]),
[final] ).
cnf(c_0_3999,negated_conjecture,
( ~ product(X1,e_1,e_2)
| product(e_2,X1,e_4)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_105,c_0_3098]),
[final] ).
cnf(c_0_4000,negated_conjecture,
( ~ product(X1,e_5,e_3)
| product(e_3,X1,e_2)
| product(e_4,e_5,e_3)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_105,c_0_1836]),
[final] ).
cnf(c_0_4001,negated_conjecture,
( ~ product(X1,e_5,e_3)
| product(e_3,X1,e_2)
| product(e_4,e_5,e_3)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_105,c_0_1799]),
[final] ).
cnf(c_0_4002,negated_conjecture,
( ~ product(e_5,e_4,e_3)
| product(e_3,e_4,e_5)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_3099,c_0_1373]),
[final] ).
cnf(c_0_4003,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_3100,c_0_1373]),
[final] ).
cnf(c_0_4004,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_413,c_0_1853]),c_0_260]),
[final] ).
cnf(c_0_4005,negated_conjecture,
( ~ product(e_4,e_2,e_1)
| product(e_1,e_1,e_2)
| product(e_1,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_1723,c_0_2440]),
[final] ).
cnf(c_0_4006,negated_conjecture,
( ~ product(e_5,e_4,e_3)
| ~ product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_3101,c_0_1373]),
[final] ).
cnf(c_0_4007,negated_conjecture,
( ~ product(e_4,e_2,e_1)
| ~ product(e_1,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_3102,c_0_2691]),
[final] ).
cnf(c_0_4008,negated_conjecture,
( ~ product(X1,e_1,e_5)
| ~ product(e_4,e_2,e_1)
| product(e_5,X1,e_2) ),
inference(spm,[status(thm)],[c_0_105,c_0_2691]),
[final] ).
cnf(c_0_4009,negated_conjecture,
( ~ product(e_4,e_2,e_1)
| product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_1688,c_0_2691]),
[final] ).
cnf(c_0_4010,negated_conjecture,
( ~ product(X1,e_1,e_2)
| ~ product(e_4,e_2,e_1)
| product(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_1722,c_0_2440]),
[final] ).
cnf(c_0_4011,negated_conjecture,
( ~ product(e_4,e_2,e_1)
| ~ product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_1719,c_0_2440]),
[final] ).
cnf(c_0_4012,negated_conjecture,
( ~ product(e_4,e_2,e_1)
| ~ product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_1740,c_0_2440]),
[final] ).
cnf(c_0_4013,negated_conjecture,
( ~ product(X1,e_5,e_4)
| ~ product(e_4,e_2,e_1)
| product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_105,c_0_2440]),
[final] ).
cnf(c_0_4014,negated_conjecture,
( ~ product(X1,e_4,e_5)
| product(e_5,X1,e_3)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_105,c_0_3103]),
[final] ).
cnf(c_0_4015,negated_conjecture,
( ~ product(X1,e_4,e_5)
| ~ product(e_4,e_2,e_1)
| product(e_5,X1,e_3) ),
inference(spm,[status(thm)],[c_0_105,c_0_2332]),
[final] ).
cnf(c_0_4016,negated_conjecture,
( ~ product(X1,e_1,e_5)
| product(e_5,X1,e_2)
| product(e_3,e_5,e_2)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_105,c_0_2455]),
[final] ).
cnf(c_0_4017,negated_conjecture,
( ~ product(X1,e_4,e_5)
| product(e_5,X1,e_3)
| product(e_3,e_4,e_5)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_105,c_0_2344]),
[final] ).
cnf(c_0_4018,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_304,c_0_2455]),
[final] ).
cnf(c_0_4019,negated_conjecture,
( ~ product(X1,e_1,e_3)
| product(e_3,X1,e_4)
| product(e_2,e_3,e_4)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_105,c_0_2016]),
[final] ).
cnf(c_0_4020,negated_conjecture,
( ~ product(X1,e_1,e_3)
| product(e_3,X1,e_4)
| product(e_2,e_5,e_1)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_105,c_0_2022]),
[final] ).
cnf(c_0_4021,negated_conjecture,
( ~ product(X1,e_5,e_3)
| product(e_3,X1,e_2)
| product(e_2,e_3,e_4)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_105,c_0_3104]),
[final] ).
cnf(c_0_4022,negated_conjecture,
( ~ product(X1,e_5,e_3)
| product(e_3,X1,e_2)
| product(e_2,e_5,e_1)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_105,c_0_2611]),
[final] ).
cnf(c_0_4023,negated_conjecture,
( ~ product(X1,e_4,e_5)
| product(e_5,X1,e_2)
| product(e_3,e_5,e_2)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_105,c_0_3105]),
[final] ).
cnf(c_0_4024,negated_conjecture,
( ~ product(X1,e_1,e_3)
| product(e_3,X1,e_4)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_105,c_0_1666]),
[final] ).
cnf(c_0_4025,negated_conjecture,
( ~ product(e_1,e_2,e_4)
| product(e_2,e_5,e_1)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_337,c_0_2022]),
[final] ).
cnf(c_0_4026,negated_conjecture,
( ~ product(X1,e_4,e_5)
| product(e_5,X1,e_2)
| product(e_2,e_3,e_1)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_105,c_0_2591]),
[final] ).
cnf(c_0_4027,negated_conjecture,
( ~ product(e_4,e_3,e_2)
| product(e_2,e_5,e_1)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_348,c_0_2611]),
[final] ).
cnf(c_0_4028,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_312,c_0_3105]),
[final] ).
cnf(c_0_4029,negated_conjecture,
( ~ product(X1,e_4,e_5)
| product(e_5,X1,e_2)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_105,c_0_2585]),
[final] ).
cnf(c_0_4030,negated_conjecture,
( ~ product(X1,e_5,e_3)
| ~ product(e_2,e_3,e_5)
| product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_105,c_0_1984]),
[final] ).
cnf(c_0_4031,negated_conjecture,
( ~ product(e_2,e_3,e_5)
| product(e_1,e_5,e_3)
| product(e_1,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_1731,c_0_1947]),
[final] ).
cnf(c_0_4032,negated_conjecture,
( ~ product(X1,e_1,e_4)
| ~ product(e_1,e_2,e_5)
| product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_105,c_0_3106]),
[final] ).
cnf(c_0_4033,negated_conjecture,
( ~ product(e_1,e_2,e_5)
| ~ product(e_5,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_427,c_0_3106]),
[final] ).
cnf(c_0_4034,negated_conjecture,
( ~ product(e_1,e_2,e_5)
| product(e_5,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_2692,c_0_1663]),
[final] ).
cnf(c_0_4035,negated_conjecture,
( ~ product(e_2,e_5,e_1)
| ~ product(e_1,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_3102,c_0_1780]),
[final] ).
cnf(c_0_4036,negated_conjecture,
( ~ product(e_1,e_2,e_5)
| ~ product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_258,c_0_2456]),
[final] ).
cnf(c_0_4037,negated_conjecture,
( ~ product(X1,e_1,e_3)
| product(e_3,X1,e_5)
| product(e_1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_105,c_0_1696]),
[final] ).
cnf(c_0_4038,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_337,c_0_1666]),
[final] ).
cnf(c_0_4039,negated_conjecture,
( ~ product(X1,e_1,e_3)
| ~ product(e_2,e_3,e_5)
| product(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_105,c_0_1947]),
[final] ).
cnf(c_0_4040,negated_conjecture,
( ~ product(e_5,e_2,e_3)
| ~ product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_2999,c_0_1944]),
[final] ).
cnf(c_0_4041,negated_conjecture,
( ~ product(e_1,e_2,e_5)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_1277,c_0_1825]),
[final] ).
cnf(c_0_4042,negated_conjecture,
( ~ product(e_1,e_2,e_5)
| ~ product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_406,c_0_1825]),
[final] ).
cnf(c_0_4043,negated_conjecture,
( ~ product(X1,e_1,e_3)
| product(e_3,X1,e_4)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_105,c_0_3107]),
[final] ).
cnf(c_0_4044,negated_conjecture,
( ~ product(e_1,e_2,e_4)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_337,c_0_3107]),
[final] ).
cnf(c_0_4045,negated_conjecture,
( ~ product(e_3,e_1,e_4)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_333,c_0_2457]),
[final] ).
cnf(c_0_4046,negated_conjecture,
( ~ product(e_5,e_3,e_4)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_107,c_0_2457]),
[final] ).
cnf(c_0_4047,negated_conjecture,
( ~ product(e_5,e_1,e_2)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_356,c_0_2457]),
[final] ).
cnf(c_0_4048,negated_conjecture,
( ~ product(e_5,e_1,e_3)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_378,c_0_2457]),
[final] ).
cnf(c_0_4049,negated_conjecture,
( ~ product(X1,e_1,e_5)
| product(e_5,X1,e_2)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_105,c_0_3108]),
[final] ).
cnf(c_0_4050,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_1688,c_0_3108]),
[final] ).
cnf(c_0_4051,negated_conjecture,
( ~ product(e_4,e_5,e_2)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_258,c_0_3108]),
[final] ).
cnf(c_0_4052,negated_conjecture,
( ~ product(X1,e_1,e_3)
| product(e_3,X1,e_5)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_105,c_0_1755]),
[final] ).
cnf(c_0_4053,negated_conjecture,
( ~ product(e_1,e_2,e_5)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_337,c_0_1755]),
[final] ).
cnf(c_0_4054,negated_conjecture,
( ~ product(e_1,e_3,e_4)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_256,c_0_1755]),
[final] ).
cnf(c_0_4055,negated_conjecture,
( ~ product(e_5,e_2,e_3)
| product(e_1,e_1,e_2)
| product(e_1,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_1723,c_0_1944]),
[final] ).
cnf(c_0_4056,negated_conjecture,
( ~ product(X1,e_3,e_5)
| ~ product(e_3,e_2,e_4)
| product(e_5,X1,e_1) ),
inference(spm,[status(thm)],[c_0_105,c_0_2317]),
[final] ).
cnf(c_0_4057,negated_conjecture,
( ~ product(e_3,e_2,e_4)
| ~ product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_304,c_0_2317]),
[final] ).
cnf(c_0_4058,negated_conjecture,
( ~ product(X1,e_4,e_2)
| ~ product(e_2,e_4,e_1)
| product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_3109,c_0_2192]),
[final] ).
cnf(c_0_4059,negated_conjecture,
( ~ product(X1,e_4,e_2)
| ~ product(e_2,e_3,e_5)
| product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_3109,c_0_1123]),
[final] ).
cnf(c_0_4060,negated_conjecture,
( ~ product(X1,e_1,e_2)
| ~ product(e_5,e_2,e_3)
| product(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_1722,c_0_1944]),
[final] ).
cnf(c_0_4061,negated_conjecture,
( ~ product(X1,e_1,e_2)
| ~ product(e_2,e_5,e_1)
| product(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_105,c_0_3110]),
[final] ).
cnf(c_0_4062,negated_conjecture,
( ~ product(X1,e_5,e_2)
| product(e_2,X1,e_3)
| product(e_3,e_5,e_2)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_105,c_0_3111]),
[final] ).
cnf(c_0_4063,negated_conjecture,
( ~ product(X1,e_5,e_2)
| product(e_2,X1,e_3)
| product(e_3,e_5,e_2)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_105,c_0_3112]),
[final] ).
cnf(c_0_4064,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_348,c_0_3111]),
[final] ).
cnf(c_0_4065,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_348,c_0_3112]),
[final] ).
cnf(c_0_4066,negated_conjecture,
( ~ product(X1,e_5,e_4)
| product(e_4,X1,e_3)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_105,c_0_2296]),
[final] ).
cnf(c_0_4067,negated_conjecture,
( ~ product(e_5,e_4,e_2)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_413,c_0_2296]),
[final] ).
cnf(c_0_4068,negated_conjecture,
( ~ product(X1,e_5,e_4)
| product(e_4,X1,e_3)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_105,c_0_1902]),
[final] ).
cnf(c_0_4069,negated_conjecture,
( ~ product(e_5,e_4,e_2)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_413,c_0_1902]),
[final] ).
cnf(c_0_4070,negated_conjecture,
( ~ product(X1,e_4,e_5)
| product(e_5,X1,e_3)
| product(e_3,e_5,e_2)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_105,c_0_2342]),
[final] ).
cnf(c_0_4071,negated_conjecture,
( ~ product(e_2,e_3,e_4)
| product(e_1,e_4,e_5)
| product(e_1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_2396,c_0_1511]),
[final] ).
cnf(c_0_4072,negated_conjecture,
( ~ product(e_5,e_4,e_3)
| ~ product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_3113,c_0_1373]),
[final] ).
cnf(c_0_4073,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_413,c_0_2342]),c_0_260]),
[final] ).
cnf(c_0_4074,negated_conjecture,
( ~ product(e_2,e_5,e_1)
| ~ product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_511,c_0_1766]),
[final] ).
cnf(c_0_4075,negated_conjecture,
( ~ product(e_2,e_5,e_1)
| ~ product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_413,c_0_1766]),
[final] ).
cnf(c_0_4076,negated_conjecture,
( ~ product(X1,e_3,e_5)
| product(e_5,X1,e_4)
| product(e_3,e_5,e_2)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_105,c_0_2266]),
[final] ).
cnf(c_0_4077,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_393,c_0_2266]),
[final] ).
cnf(c_0_4078,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_2,e_5,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2149,c_0_1703]),c_0_1279]),
[final] ).
cnf(c_0_4079,negated_conjecture,
( ~ product(X1,e_5,e_2)
| product(e_2,X1,e_1)
| product(e_2,e_3,e_4)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_105,c_0_3114]),
[final] ).
cnf(c_0_4080,negated_conjecture,
( ~ product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_312,c_0_2208]),
[final] ).
cnf(c_0_4081,negated_conjecture,
( ~ product(X1,e_5,e_2)
| product(e_2,X1,e_1)
| product(e_2,e_5,e_1)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_105,c_0_3115]),
[final] ).
cnf(c_0_4082,negated_conjecture,
( ~ product(e_4,e_3,e_1)
| product(e_2,e_5,e_1)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_312,c_0_2459]),
[final] ).
cnf(c_0_4083,negated_conjecture,
( ~ next(e_1,X2)
| ~ greater(X1,X3)
| ~ cycle(X2,X3)
| ~ cycle(e_0,X1)
| cycle(e_1,e_4)
| product(e_2,e_3,e_4)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_3116,c_0_64]),
[final] ).
cnf(c_0_4084,negated_conjecture,
( ~ next(e_1,X2)
| ~ greater(X1,X3)
| ~ cycle(X2,X3)
| ~ cycle(e_0,X1)
| cycle(e_1,e_4)
| product(e_2,e_5,e_1)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_3117,c_0_64]),
[final] ).
cnf(c_0_4085,negated_conjecture,
( ~ next(e_5,X1)
| ~ greater(e_0,X2)
| ~ cycle(X1,X2)
| cycle(e_1,e_4)
| product(e_3,e_4,e_5)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_2489,c_0_2513]),
[final] ).
cnf(c_0_4086,negated_conjecture,
( ~ next(e_5,X1)
| ~ greater(e_0,X2)
| ~ cycle(X1,X2)
| cycle(e_1,e_4)
| product(e_3,e_4,e_5)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_2489,c_0_2514]),
[final] ).
cnf(c_0_4087,negated_conjecture,
( ~ greater(e_0,e_0)
| ~ product(e_1,e_1,e_3)
| cycle(e_1,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(spm,[status(thm)],[c_0_169,c_0_2513]),c_0_81])]),
[final] ).
cnf(c_0_4088,negated_conjecture,
( ~ greater(e_0,e_0)
| ~ product(e_1,e_1,e_3)
| cycle(e_1,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(spm,[status(thm)],[c_0_169,c_0_2514]),c_0_81])]),
[final] ).
cnf(c_0_4089,negated_conjecture,
( ~ next(e_3,e_1)
| product(e_3,e_4,e_5)
| product(e_2,e_3,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_3118,c_0_2513]),c_0_3119]),
[final] ).
cnf(c_0_4090,negated_conjecture,
( ~ next(e_5,X1)
| ~ greater(e_2,X2)
| ~ cycle(X1,X2)
| product(e_3,e_4,e_5)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_2479,c_0_2460]),
[final] ).
cnf(c_0_4091,negated_conjecture,
( ~ cycle(e_4,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_3118,c_0_2787]),c_0_89])]),
[final] ).
cnf(c_0_4092,negated_conjecture,
( ~ next(e_3,e_5)
| product(e_3,e_4,e_5)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_3118,c_0_140]),
[final] ).
cnf(c_0_4093,negated_conjecture,
( ~ next(e_3,e_3)
| product(e_3,e_4,e_5)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_3120,c_0_2460]),
[final] ).
cnf(c_0_4094,negated_conjecture,
( ~ next(e_3,e_2)
| product(e_3,e_4,e_5)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_3121,c_0_2212]),
[final] ).
cnf(c_0_4095,negated_conjecture,
( ~ next(e_5,e_1)
| cycle(e_1,e_4)
| product(e_2,e_3,e_4)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_2851,c_0_2513]),
[final] ).
cnf(c_0_4096,negated_conjecture,
( ~ next(e_5,e_1)
| ~ cycle(e_1,e_5)
| product(e_2,e_3,e_4)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_2851,c_0_2909]),
[final] ).
cnf(c_0_4097,negated_conjecture,
( ~ next(e_5,e_2)
| ~ cycle(e_2,e_5)
| product(e_2,e_3,e_4)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_2851,c_0_2789]),
[final] ).
cnf(c_0_4098,negated_conjecture,
( ~ next(e_5,e_3)
| product(e_2,e_3,e_4)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_2852,c_0_2460]),
[final] ).
cnf(c_0_4099,negated_conjecture,
( ~ next(e_5,e_5)
| product(e_2,e_3,e_4)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_2851,c_0_140]),
[final] ).
cnf(c_0_4100,negated_conjecture,
( ~ cycle(e_3,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_2347,c_0_2910]),c_0_153])]),
[final] ).
cnf(c_0_4101,negated_conjecture,
( ~ next(e_2,X1)
| ~ cycle(X1,e_1)
| product(e_3,e_4,e_5)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_3122,c_0_81]),
[final] ).
cnf(c_0_4102,negated_conjecture,
( ~ next(e_2,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_3123,c_0_89]),
[final] ).
cnf(c_0_4103,negated_conjecture,
( ~ next(e_2,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_3124,c_0_138]),
[final] ).
cnf(c_0_4104,negated_conjecture,
( ~ cycle(e_2,e_2)
| product(e_2,e_3,e_4)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_2914,c_0_2212]),
[final] ).
cnf(c_0_4105,negated_conjecture,
( ~ next(e_2,e_1)
| product(e_2,e_3,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_2788,c_0_2212]),c_0_683]),c_0_68])]),
[final] ).
cnf(c_0_4106,negated_conjecture,
( ~ next(e_2,e_2)
| product(e_2,e_3,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_169,c_0_2212]),c_0_683]),c_0_68])]),
[final] ).
cnf(c_0_4107,negated_conjecture,
( ~ next(e_2,e_4)
| product(e_2,e_3,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_2367,c_0_2212]),c_0_683]),c_0_68])]),
[final] ).
cnf(c_0_4108,negated_conjecture,
( ~ next(e_2,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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_209,c_0_2212]),c_0_683]),c_0_68])]),
[final] ).
cnf(c_0_4109,negated_conjecture,
( ~ next(e_3,e_1)
| product(e_3,e_4,e_5)
| product(e_2,e_5,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_3125,c_0_2514]),c_0_3126]),
[final] ).
cnf(c_0_4110,negated_conjecture,
( ~ next(e_5,X1)
| ~ greater(e_2,X2)
| ~ cycle(X1,X2)
| product(e_3,e_4,e_5)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_2479,c_0_2461]),
[final] ).
cnf(c_0_4111,negated_conjecture,
( ~ cycle(e_4,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_3125,c_0_2787]),c_0_89])]),
[final] ).
cnf(c_0_4112,negated_conjecture,
( ~ next(e_3,e_5)
| product(e_3,e_4,e_5)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_3125,c_0_140]),
[final] ).
cnf(c_0_4113,negated_conjecture,
( ~ next(e_3,e_3)
| product(e_3,e_4,e_5)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_3127,c_0_2461]),
[final] ).
cnf(c_0_4114,negated_conjecture,
( ~ next(e_3,e_2)
| product(e_3,e_4,e_5)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_3128,c_0_2213]),
[final] ).
cnf(c_0_4115,negated_conjecture,
( ~ next(e_5,e_1)
| cycle(e_1,e_4)
| product(e_2,e_5,e_1)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_2854,c_0_2514]),
[final] ).
cnf(c_0_4116,negated_conjecture,
( ~ next(e_5,e_1)
| ~ cycle(e_1,e_5)
| product(e_2,e_5,e_1)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_2854,c_0_2909]),
[final] ).
cnf(c_0_4117,negated_conjecture,
( ~ next(e_5,e_2)
| ~ cycle(e_2,e_5)
| product(e_2,e_5,e_1)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_2854,c_0_2789]),
[final] ).
cnf(c_0_4118,negated_conjecture,
( ~ next(e_5,e_3)
| product(e_2,e_5,e_1)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_2855,c_0_2461]),
[final] ).
cnf(c_0_4119,negated_conjecture,
( ~ next(e_5,e_5)
| product(e_2,e_5,e_1)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_2854,c_0_140]),
[final] ).
cnf(c_0_4120,negated_conjecture,
( ~ cycle(e_3,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_2348,c_0_2910]),c_0_153])]),
[final] ).
cnf(c_0_4121,negated_conjecture,
( ~ next(e_2,X1)
| ~ cycle(X1,e_1)
| product(e_3,e_4,e_5)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_3129,c_0_81]),
[final] ).
cnf(c_0_4122,negated_conjecture,
( ~ next(e_2,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_3130,c_0_89]),
[final] ).
cnf(c_0_4123,negated_conjecture,
( ~ next(e_2,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_3131,c_0_138]),
[final] ).
cnf(c_0_4124,negated_conjecture,
( ~ cycle(e_2,e_2)
| product(e_2,e_5,e_1)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_2914,c_0_2213]),
[final] ).
cnf(c_0_4125,negated_conjecture,
( ~ next(e_2,e_1)
| product(e_2,e_5,e_1)
| 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_2788,c_0_2213]),c_0_683]),c_0_68])]),
[final] ).
cnf(c_0_4126,negated_conjecture,
( ~ next(e_2,e_2)
| product(e_2,e_5,e_1)
| 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_169,c_0_2213]),c_0_683]),c_0_68])]),
[final] ).
cnf(c_0_4127,negated_conjecture,
( ~ next(e_2,e_4)
| product(e_2,e_5,e_1)
| 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_2367,c_0_2213]),c_0_683]),c_0_68])]),
[final] ).
cnf(c_0_4128,negated_conjecture,
( ~ next(e_2,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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_209,c_0_2213]),c_0_683]),c_0_68])]),
[final] ).
cnf(c_0_4129,negated_conjecture,
( ~ product(X1,e_5,e_1)
| product(e_1,X1,e_2)
| product(e_3,e_4,e_5)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_105,c_0_1819]),
[final] ).
cnf(c_0_4130,negated_conjecture,
( ~ product(X1,e_5,e_4)
| product(e_4,X1,e_2)
| product(e_3,e_5,e_2)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_105,c_0_2458]),
[final] ).
cnf(c_0_4131,negated_conjecture,
( ~ product(X1,e_5,e_1)
| product(e_1,X1,e_2)
| product(e_3,e_4,e_5)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_105,c_0_1827]),
[final] ).
cnf(c_0_4132,negated_conjecture,
( ~ product(X1,e_5,e_3)
| product(e_3,X1,e_2)
| product(e_2,e_5,e_1)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_105,c_0_3132]),
[final] ).
cnf(c_0_4133,negated_conjecture,
( ~ product(X1,e_5,e_3)
| product(e_3,X1,e_2)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_105,c_0_3133]),
[final] ).
cnf(c_0_4134,negated_conjecture,
( ~ product(X1,e_3,e_1)
| product(e_1,X1,e_4)
| product(e_3,e_4,e_5)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_2960,c_0_1791]),
[final] ).
cnf(c_0_4135,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_3,e_4,e_5)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_946,c_0_1819]),
[final] ).
cnf(c_0_4136,negated_conjecture,
( ~ product(X1,e_3,e_1)
| product(e_1,X1,e_4)
| product(e_3,e_4,e_5)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_2960,c_0_1802]),
[final] ).
cnf(c_0_4137,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_3,e_4,e_5)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_946,c_0_1827]),
[final] ).
cnf(c_0_4138,negated_conjecture,
( ~ product(X1,e_1,e_4)
| product(e_4,X1,e_3)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_105,c_0_3134]),
[final] ).
cnf(c_0_4139,negated_conjecture,
( ~ product(X1,e_3,e_5)
| product(e_5,X1,e_1)
| product(e_3,e_5,e_2)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_105,c_0_1760]),
[final] ).
cnf(c_0_4140,negated_conjecture,
( ~ product(X1,e_3,e_5)
| product(e_5,X1,e_1)
| product(e_3,e_5,e_2)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_105,c_0_1774]),
[final] ).
cnf(c_0_4141,negated_conjecture,
( ~ product(e_4,e_3,e_2)
| product(e_2,e_5,e_1)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_348,c_0_3132]),
[final] ).
cnf(c_0_4142,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_348,c_0_3133]),
[final] ).
cnf(c_0_4143,negated_conjecture,
( ~ product(X1,e_3,e_5)
| product(e_5,X1,e_4)
| product(e_3,e_5,e_2)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_105,c_0_3135]),
[final] ).
cnf(c_0_4144,negated_conjecture,
( ~ product(X1,e_3,e_5)
| ~ product(e_2,e_4,e_1)
| product(e_5,X1,e_1) ),
inference(spm,[status(thm)],[c_0_105,c_0_2319]),
[final] ).
cnf(c_0_4145,negated_conjecture,
( ~ product(X1,e_3,e_5)
| ~ product(e_2,e_3,e_5)
| product(e_5,X1,e_1) ),
inference(spm,[status(thm)],[c_0_105,c_0_1794]),
[final] ).
cnf(c_0_4146,negated_conjecture,
( ~ product(e_2,e_4,e_1)
| ~ product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_1542,c_0_2319]),
[final] ).
cnf(c_0_4147,negated_conjecture,
( ~ product(e_2,e_3,e_5)
| ~ product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_304,c_0_1794]),
[final] ).
cnf(c_0_4148,negated_conjecture,
( ~ product(X1,e_3,e_5)
| product(e_5,X1,e_1)
| product(e_2,e_5,e_1)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_105,c_0_1998]),
[final] ).
cnf(c_0_4149,negated_conjecture,
( ~ product(X1,e_3,e_5)
| product(e_5,X1,e_1)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_105,c_0_1649]),
[final] ).
cnf(c_0_4150,negated_conjecture,
( ~ product(X1,e_5,e_1)
| product(e_1,X1,e_4)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_105,c_0_1730]),
[final] ).
cnf(c_0_4151,negated_conjecture,
( ~ product(e_3,e_1,e_4)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_333,c_0_1730]),
[final] ).
cnf(c_0_4152,negated_conjecture,
( ~ product(e_5,e_1,e_2)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_356,c_0_1730]),
[final] ).
cnf(c_0_4153,negated_conjecture,
( ~ product(e_5,e_1,e_3)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_378,c_0_1730]),
[final] ).
cnf(c_0_4154,negated_conjecture,
( ~ product(X1,e_4,e_3)
| ~ product(e_2,e_5,e_1)
| product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_105,c_0_3136]),
[final] ).
cnf(c_0_4155,negated_conjecture,
( ~ product(X1,e_3,e_5)
| ~ product(e_2,e_3,e_4)
| product(e_5,X1,e_4) ),
inference(spm,[status(thm)],[c_0_105,c_0_3137]),
[final] ).
cnf(c_0_4156,negated_conjecture,
( ~ product(X1,e_5,e_4)
| product(e_4,X1,e_2)
| product(e_5,e_3,e_4)
| product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_105,c_0_1720]),
[final] ).
cnf(c_0_4157,negated_conjecture,
( ~ product(X1,e_3,e_4)
| ~ product(e_3,e_2,e_4)
| product(e_4,X1,e_5) ),
inference(spm,[status(thm)],[c_0_105,c_0_3138]),
[final] ).
cnf(c_0_4158,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_342,c_0_2180]),
[final] ).
cnf(c_0_4159,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_342,c_0_1862]),
[final] ).
cnf(c_0_4160,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_333,c_0_1707]),c_0_338]),
[final] ).
cnf(c_0_4161,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_393,c_0_3135]),
[final] ).
cnf(c_0_4162,negated_conjecture,
( ~ product(X1,e_1,e_2)
| product(e_2,X1,e_4)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_105,c_0_1851]),
[final] ).
cnf(c_0_4163,negated_conjecture,
( ~ product(e_2,e_5,e_1)
| product(e_2,e_3,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1750,c_0_1101]),c_0_312]),
[final] ).
cnf(c_0_4164,negated_conjecture,
( ~ product(X1,e_3,e_5)
| product(e_5,X1,e_1)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_105,c_0_1656]),
[final] ).
cnf(c_0_4165,negated_conjecture,
( ~ product(X1,e_3,e_2)
| ~ product(e_2,e_5,e_1)
| product(e_2,X1,e_5) ),
inference(spm,[status(thm)],[c_0_105,c_0_1675]),
[final] ).
cnf(c_0_4166,negated_conjecture,
( ~ product(e_3,e_4,e_1)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_304,c_0_1656]),
[final] ).
cnf(c_0_4167,negated_conjecture,
( ~ product(e_3,e_5,e_4)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_1542,c_0_1656]),
[final] ).
cnf(c_0_4168,negated_conjecture,
( ~ product(X1,e_1,e_2)
| product(e_2,X1,e_4)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_105,c_0_3139]),
[final] ).
cnf(c_0_4169,negated_conjecture,
( ~ product(X1,e_1,e_2)
| ~ product(e_2,e_3,e_4)
| product(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_105,c_0_1572]),
[final] ).
cnf(c_0_4170,negated_conjecture,
( ~ product(e_2,e_4,e_5)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_1557,c_0_2462]),
[final] ).
cnf(c_0_4171,negated_conjecture,
( ~ product(X1,e_1,e_2)
| ~ product(e_2,e_3,e_1)
| product(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_105,c_0_1891]),
[final] ).
cnf(c_0_4172,negated_conjecture,
( ~ product(e_4,e_2,e_1)
| product(e_2,e_5,e_1) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1711,c_0_2257]),c_0_1365]),c_0_2258]),
[final] ).
cnf(c_0_4173,negated_conjecture,
( ~ product(e_4,e_2,e_1)
| product(e_2,e_3,e_4) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1251,c_0_2257]),c_0_1365]),c_0_2258]),
[final] ).
cnf(c_0_4174,negated_conjecture,
( ~ product(X1,e_1,e_4)
| product(e_4,X1,e_2)
| product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_105,c_0_1600]),
[final] ).
cnf(c_0_4175,negated_conjecture,
( ~ product(X1,e_4,e_3)
| ~ product(e_4,e_2,e_1)
| product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_105,c_0_2257]),
[final] ).
cnf(c_0_4176,negated_conjecture,
( ~ product(e_4,e_2,e_1)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_1640,c_0_2257]),
[final] ).
cnf(c_0_4177,negated_conjecture,
( ~ product(X1,e_4,e_5)
| product(e_5,X1,e_2)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_105,c_0_2043]),
[final] ).
cnf(c_0_4178,negated_conjecture,
( ~ product(X1,e_5,e_3)
| product(e_3,X1,e_2)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_105,c_0_1622]),
[final] ).
cnf(c_0_4179,negated_conjecture,
( ~ product(X1,e_1,e_2)
| product(e_2,X1,e_4)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_105,c_0_2189]),
[final] ).
cnf(c_0_4180,negated_conjecture,
( ~ product(X1,e_1,e_4)
| product(e_4,X1,e_3)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_105,c_0_1523]),
[final] ).
cnf(c_0_4181,negated_conjecture,
( ~ product(X1,e_4,e_2)
| product(e_2,X1,e_1)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_105,c_0_3140]),
[final] ).
cnf(c_0_4182,negated_conjecture,
( ~ product(X1,e_4,e_3)
| product(e_3,X1,e_2)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_105,c_0_1509]),
[final] ).
cnf(c_0_4183,negated_conjecture,
( ~ product(e_5,e_4,e_3)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_427,c_0_1523]),
[final] ).
cnf(c_0_4184,negated_conjecture,
( ~ product(e_1,e_4,e_2)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_413,c_0_1523]),
[final] ).
cnf(c_0_4185,negated_conjecture,
( ~ product(X1,e_4,e_3)
| product(e_3,X1,e_2)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_105,c_0_3141]),
[final] ).
cnf(c_0_4186,negated_conjecture,
( ~ product(X1,e_4,e_2)
| product(e_2,X1,e_3)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_105,c_0_2017]),
[final] ).
cnf(c_0_4187,negated_conjecture,
( ~ product(X1,e_1,e_4)
| product(e_4,X1,e_2)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_1901,c_0_1546]),
[final] ).
cnf(c_0_4188,negated_conjecture,
( ~ product(e_2,e_3,e_4)
| ~ product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_256,c_0_1558]),
[final] ).
cnf(c_0_4189,negated_conjecture,
( ~ greater(e_2,e_3)
| ~ product(e_2,e_4,e_1)
| cycle(e_2,e_0)
| cycle(e_2,e_3) ),
inference(spm,[status(thm)],[c_0_2068,c_0_2008]),
[final] ).
cnf(c_0_4190,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_3142,c_0_1700]),
[final] ).
cnf(c_0_4191,negated_conjecture,
( ~ product(e_2,e_4,e_5)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_3142,c_0_1101]),
[final] ).
cnf(c_0_4192,negated_conjecture,
( ~ product(e_2,e_4,e_5)
| product(e_2,e_3,e_4)
| product(e_5,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1571,c_0_2462]),
[final] ).
cnf(c_0_4193,negated_conjecture,
( ~ product(X1,e_4,e_5)
| product(e_5,X1,e_3)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_105,c_0_2463]),
[final] ).
cnf(c_0_4194,negated_conjecture,
( ~ product(X1,e_3,e_2)
| ~ product(e_2,e_3,e_4)
| product(e_2,X1,e_5) ),
inference(spm,[status(thm)],[c_0_3143,c_0_1435]),
[final] ).
cnf(c_0_4195,negated_conjecture,
( ~ product(X1,e_3,e_4)
| ~ product(e_2,e_3,e_5)
| product(e_4,X1,e_5) ),
inference(spm,[status(thm)],[c_0_105,c_0_1645]),
[final] ).
cnf(c_0_4196,negated_conjecture,
( ~ product(X1,e_3,e_4)
| ~ product(e_2,e_4,e_1)
| product(e_4,X1,e_5) ),
inference(spm,[status(thm)],[c_0_105,c_0_1982]),
[final] ).
cnf(c_0_4197,plain,
( ~ product(e_2,e_4,e_1)
| ~ product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_342,c_0_1982]),
[final] ).
cnf(c_0_4198,negated_conjecture,
( ~ product(e_1,e_2,e_5)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_337,c_0_1629]),
[final] ).
cnf(c_0_4199,negated_conjecture,
( ~ product(e_1,e_3,e_4)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_256,c_0_1629]),
[final] ).
cnf(c_0_4200,plain,
( ~ product(e_4,e_2,e_3)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_511,c_0_2463]),
[final] ).
cnf(c_0_4201,negated_conjecture,
( ~ product(X1,e_1,e_3)
| product(e_3,X1,e_5)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_105,c_0_1715]),
[final] ).
cnf(c_0_4202,negated_conjecture,
( ~ product(X1,e_3,e_4)
| product(e_4,X1,e_1)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_105,c_0_1703]),
[final] ).
cnf(c_0_4203,negated_conjecture,
( ~ product(X1,e_5,e_4)
| product(e_4,X1,e_2)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_105,c_0_1494]),
[final] ).
cnf(c_0_4204,negated_conjecture,
( ~ product(X1,e_4,e_5)
| ~ product(e_2,e_3,e_1)
| product(e_5,X1,e_1) ),
inference(spm,[status(thm)],[c_0_105,c_0_2201]),
[final] ).
cnf(c_0_4205,negated_conjecture,
( ~ product(e_2,e_3,e_1)
| ~ product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_417,c_0_2201]),
[final] ).
cnf(c_0_4206,negated_conjecture,
( ~ product(e_1,e_3,e_4)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_256,c_0_1715]),
[final] ).
cnf(c_0_4207,negated_conjecture,
( ~ product(e_3,e_4,e_5)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_1079,c_0_1703]),
[final] ).
cnf(c_0_4208,negated_conjecture,
( ~ product(X1,e_4,e_4)
| product(e_4,X1,e_4) ),
inference(spm,[status(thm)],[c_0_105,c_0_1475]),
[final] ).
cnf(c_0_4209,negated_conjecture,
( ~ product(X1,e_5,e_3)
| ~ product(e_2,e_3,e_1)
| product(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_105,c_0_1813]),
[final] ).
cnf(c_0_4210,negated_conjecture,
( ~ product(X1,e_5,e_4)
| product(e_4,X1,e_2)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_105,c_0_3144]),
[final] ).
cnf(c_0_4211,negated_conjecture,
( ~ product(X1,e_1,e_5)
| product(e_5,X1,e_2)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_105,c_0_1817]),
[final] ).
cnf(c_0_4212,negated_conjecture,
( ~ product(X1,e_2,e_5)
| product(e_5,X1,e_1)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_105,c_0_1702]),
[final] ).
cnf(c_0_4213,negated_conjecture,
( ~ product(e_5,e_2,e_1)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_337,c_0_1679]),
[final] ).
cnf(c_0_4214,negated_conjecture,
( ~ product(e_5,e_3,e_4)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_1542,c_0_1679]),
[final] ).
cnf(c_0_4215,negated_conjecture,
( ~ product(X1,e_3,e_2)
| product(e_2,X1,e_5)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_105,c_0_1446]),
[final] ).
cnf(c_0_4216,negated_conjecture,
( ~ product(X1,e_2,e_5)
| ~ product(e_2,e_4,e_1)
| product(e_5,X1,e_4) ),
inference(spm,[status(thm)],[c_0_105,c_0_2246]),
[final] ).
cnf(c_0_4217,negated_conjecture,
( ~ product(X1,e_2,e_5)
| ~ product(e_2,e_3,e_5)
| product(e_5,X1,e_4) ),
inference(spm,[status(thm)],[c_0_105,c_0_1452]),
[final] ).
cnf(c_0_4218,negated_conjecture,
( ~ product(X1,e_1,e_4)
| product(e_4,X1,e_3)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_105,c_0_3145]),
[final] ).
cnf(c_0_4219,negated_conjecture,
( ~ product(X1,e_5,e_2)
| ~ product(e_2,e_3,e_4)
| product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_105,c_0_3146]),
[final] ).
cnf(c_0_4220,negated_conjecture,
( ~ product(X1,e_5,e_2)
| product(e_2,X1,e_3)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_105,c_0_3147]),
[final] ).
cnf(c_0_4221,negated_conjecture,
( ~ product(X1,e_1,e_5)
| product(e_5,X1,e_2)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_105,c_0_2350]),
[final] ).
cnf(c_0_4222,negated_conjecture,
( ~ product(X1,e_5,e_4)
| product(e_4,X1,e_2)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_105,c_0_3148]),
[final] ).
cnf(c_0_4223,negated_conjecture,
( ~ product(e_5,e_4,e_3)
| product(e_2,e_3,e_5)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_3149,c_0_1373]),
[final] ).
cnf(c_0_4224,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_2068,c_0_2542]),c_0_104])]),
[final] ).
cnf(c_0_4225,negated_conjecture,
( ~ product(e_3,e_5,e_1)
| ~ product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_3150,c_0_1618]),
[final] ).
cnf(c_0_4226,negated_conjecture,
( ~ product(X1,e_3,e_1)
| ~ product(e_2,e_3,e_1)
| product(e_1,X1,e_4) ),
inference(spm,[status(thm)],[c_0_105,c_0_2542]),
[final] ).
cnf(c_0_4227,negated_conjecture,
( ~ product(X1,e_5,e_2)
| product(e_2,X1,e_1)
| product(e_4,e_5,e_3)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_105,c_0_3151]),
[final] ).
cnf(c_0_4228,negated_conjecture,
( ~ product(X1,e_4,e_3)
| ~ product(e_2,e_3,e_4)
| product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_105,c_0_2013]),
[final] ).
cnf(c_0_4229,negated_conjecture,
( ~ product(X1,e_1,e_5)
| ~ product(e_2,e_3,e_4)
| product(e_5,X1,e_2) ),
inference(spm,[status(thm)],[c_0_105,c_0_1524]),
[final] ).
cnf(c_0_4230,negated_conjecture,
( ~ product(X1,e_5,e_4)
| ~ product(e_2,e_3,e_4)
| product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_105,c_0_1972]),
[final] ).
cnf(c_0_4231,negated_conjecture,
( ~ product(X1,e_4,e_5)
| ~ product(e_2,e_3,e_4)
| product(e_5,X1,e_3) ),
inference(spm,[status(thm)],[c_0_105,c_0_1517]),
[final] ).
cnf(c_0_4232,negated_conjecture,
( ~ product(X1,e_5,e_2)
| product(e_2,X1,e_3)
| product(e_3,e_2,e_4)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_105,c_0_3152]),
[final] ).
cnf(c_0_4233,negated_conjecture,
( ~ product(e_4,e_2,e_3)
| product(e_3,e_2,e_4)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_348,c_0_3152]),
[final] ).
cnf(c_0_4234,negated_conjecture,
( ~ product(X1,e_1,e_3)
| product(e_3,X1,e_4)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_105,c_0_3153]),
[final] ).
cnf(c_0_4235,negated_conjecture,
( ~ product(X1,e_4,e_5)
| product(e_5,X1,e_2)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_105,c_0_3154]),
[final] ).
cnf(c_0_4236,negated_conjecture,
( ~ product(X1,e_5,e_1)
| product(e_1,X1,e_4)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_105,c_0_3155]),
[final] ).
cnf(c_0_4237,negated_conjecture,
( ~ product(X1,e_5,e_3)
| product(e_3,X1,e_2)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_105,c_0_3156]),
[final] ).
cnf(c_0_4238,negated_conjecture,
( ~ product(X1,e_3,e_4)
| product(e_4,X1,e_5)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_105,c_0_3157]),
[final] ).
cnf(c_0_4239,negated_conjecture,
( ~ product(X1,e_3,e_5)
| product(e_5,X1,e_1)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_105,c_0_2803]),
[final] ).
cnf(c_0_4240,negated_conjecture,
( ~ product(X1,e_5,e_4)
| product(e_4,X1,e_3)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_105,c_0_2323]),
[final] ).
cnf(c_0_4241,negated_conjecture,
( ~ product(X1,e_4,e_2)
| product(e_2,X1,e_3)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_105,c_0_3158]),
[final] ).
cnf(c_0_4242,negated_conjecture,
( ~ product(X1,e_1,e_4)
| product(e_4,X1,e_2)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_105,c_0_1481]),
[final] ).
cnf(c_0_4243,negated_conjecture,
( ~ product(X1,e_4,e_3)
| product(e_3,X1,e_1)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_105,c_0_2804]),
[final] ).
cnf(c_0_4244,negated_conjecture,
( ~ product(X1,e_1,e_2)
| product(e_2,X1,e_5)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_105,c_0_3159]),
[final] ).
cnf(c_0_4245,negated_conjecture,
( ~ product(X1,e_2,e_4)
| product(e_4,X1,e_1)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_105,c_0_2805]),
[final] ).
cnf(c_0_4246,negated_conjecture,
( ~ product(X1,e_1,e_5)
| product(e_5,X1,e_3)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_105,c_0_3160]),
[final] ).
cnf(c_0_4247,negated_conjecture,
( ~ product(e_3,e_1,e_4)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_333,c_0_3155]),
[final] ).
cnf(c_0_4248,negated_conjecture,
( ~ product(e_5,e_3,e_4)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_107,c_0_3155]),
[final] ).
cnf(c_0_4249,negated_conjecture,
( ~ product(e_5,e_1,e_2)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_356,c_0_3155]),
[final] ).
cnf(c_0_4250,negated_conjecture,
( ~ product(e_5,e_1,e_3)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_378,c_0_3155]),
[final] ).
cnf(c_0_4251,negated_conjecture,
( ~ product(e_2,e_5,e_1)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_393,c_0_2803]),
[final] ).
cnf(c_0_4252,negated_conjecture,
( ~ product(e_3,e_4,e_1)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_304,c_0_2803]),
[final] ).
cnf(c_0_4253,negated_conjecture,
( ~ product(e_3,e_5,e_4)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_1542,c_0_2803]),
[final] ).
cnf(c_0_4254,negated_conjecture,
( ~ product(e_5,e_2,e_3)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_342,c_0_2323]),
[final] ).
cnf(c_0_4255,negated_conjecture,
( ~ product(e_4,e_2,e_1)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_337,c_0_2804]),
[final] ).
cnf(c_0_4256,negated_conjecture,
( ~ product(e_4,e_3,e_2)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_417,c_0_2804]),
[final] ).
cnf(c_0_4257,negated_conjecture,
( ~ product(e_3,e_2,e_5)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_90,c_0_3159]),
[final] ).
cnf(c_0_4258,negated_conjecture,
( ~ product(e_1,e_2,e_4)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_256,c_0_3159]),
[final] ).
cnf(c_0_4259,negated_conjecture,
( ~ product(e_4,e_5,e_3)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_258,c_0_3160]),
[final] ).
cnf(c_0_4260,negated_conjecture,
( ~ product(e_1,e_4,e_3)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_304,c_0_3160]),
[final] ).
cnf(c_0_4261,negated_conjecture,
( ~ product(e_1,e_5,e_2)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_413,c_0_3160]),
[final] ).
cnf(c_0_4262,negated_conjecture,
( ~ product(X1,e_2,e_5)
| product(e_5,X1,e_4)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_105,c_0_1361]),
[final] ).
cnf(c_0_4263,negated_conjecture,
( ~ product(X1,e_2,e_4)
| ~ product(e_2,e_3,e_4)
| product(e_4,X1,e_5) ),
inference(spm,[status(thm)],[c_0_105,c_0_1435]),
[final] ).
cnf(c_0_4264,negated_conjecture,
( ~ product(e_2,e_3,e_1)
| ~ product(e_1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_304,c_0_1641]),
[final] ).
cnf(c_0_4265,negated_conjecture,
( ~ product(X1,e_1,e_5)
| ~ product(e_2,e_3,e_1)
| product(e_5,X1,e_3) ),
inference(spm,[status(thm)],[c_0_105,c_0_1641]),
[final] ).
cnf(c_0_4266,negated_conjecture,
( ~ product(e_2,e_3,e_1)
| ~ product(e_1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_413,c_0_1641]),
[final] ).
cnf(c_0_4267,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_2890,c_0_2471]),
[final] ).
cnf(c_0_4268,negated_conjecture,
( ~ next(e_1,e_3)
| cycle(e_1,e_3)
| cycle(e_1,e_0)
| product(e_2,e_5,e_1)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2891,c_0_2471]),
[final] ).
cnf(c_0_4269,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_2892,c_0_2215]),
[final] ).
cnf(c_0_4270,negated_conjecture,
( ~ next(e_1,X2)
| ~ greater(X1,X3)
| ~ cycle(X2,X3)
| ~ cycle(e_0,X1)
| cycle(e_1,e_4)
| product(e_3,e_2,e_4)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_3161,c_0_64]),
[final] ).
cnf(c_0_4271,negated_conjecture,
( ~ next(e_5,X1)
| ~ greater(e_0,X2)
| ~ cycle(X1,X2)
| cycle(e_1,e_4)
| product(e_2,e_5,e_1)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2489,c_0_2515]),
[final] ).
cnf(c_0_4272,negated_conjecture,
( ~ greater(e_0,e_0)
| ~ product(e_1,e_1,e_3)
| cycle(e_1,e_4)
| 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_169,c_0_2515]),c_0_81])]),
[final] ).
cnf(c_0_4273,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(spm,[status(thm)],[c_0_3162,c_0_2515]),c_0_3163]),
[final] ).
cnf(c_0_4274,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_2479,c_0_2471]),
[final] ).
cnf(c_0_4275,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_3162,c_0_2787]),c_0_89])]),
[final] ).
cnf(c_0_4276,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_3162,c_0_140]),
[final] ).
cnf(c_0_4277,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_3164,c_0_2471]),
[final] ).
cnf(c_0_4278,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_3165,c_0_2215]),
[final] ).
cnf(c_0_4279,negated_conjecture,
( ~ next(e_5,e_1)
| cycle(e_1,e_4)
| product(e_3,e_2,e_4)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_2857,c_0_2515]),
[final] ).
cnf(c_0_4280,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_2857,c_0_2909]),
[final] ).
cnf(c_0_4281,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_2857,c_0_2789]),
[final] ).
cnf(c_0_4282,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_2858,c_0_2471]),
[final] ).
cnf(c_0_4283,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_2857,c_0_140]),
[final] ).
cnf(c_0_4284,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_2356,c_0_2910]),c_0_153])]),
[final] ).
cnf(c_0_4285,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_3166,c_0_81]),
[final] ).
cnf(c_0_4286,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_3167,c_0_89]),
[final] ).
cnf(c_0_4287,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_3168,c_0_138]),
[final] ).
cnf(c_0_4288,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_2914,c_0_2215]),
[final] ).
cnf(c_0_4289,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_2788,c_0_2215]),c_0_683]),c_0_68])]),
[final] ).
cnf(c_0_4290,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_169,c_0_2215]),c_0_683]),c_0_68])]),
[final] ).
cnf(c_0_4291,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_2367,c_0_2215]),c_0_683]),c_0_68])]),
[final] ).
cnf(c_0_4292,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_209,c_0_2215]),c_0_683]),c_0_68])]),
[final] ).
cnf(c_0_4293,negated_conjecture,
( ~ product(X1,e_5,e_2)
| product(e_2,X1,e_1)
| product(e_2,e_5,e_1)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_105,c_0_3169]),
[final] ).
cnf(c_0_4294,negated_conjecture,
( ~ product(X1,e_5,e_3)
| product(e_3,X1,e_4)
| product(e_2,e_5,e_1)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_105,c_0_2358]),
[final] ).
cnf(c_0_4295,negated_conjecture,
( ~ product(e_4,e_3,e_1)
| product(e_2,e_5,e_1)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_312,c_0_2472]),
[final] ).
cnf(c_0_4296,negated_conjecture,
( ~ product(X1,e_3,e_1)
| product(e_1,X1,e_4)
| product(e_2,e_5,e_1)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_105,c_0_2104]),
[final] ).
cnf(c_0_4297,negated_conjecture,
( ~ product(X1,e_5,e_1)
| product(e_1,X1,e_2)
| product(e_3,e_2,e_4)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_105,c_0_1601]),
[final] ).
cnf(c_0_4298,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_1617,c_0_2382]),c_0_511]),
[final] ).
cnf(c_0_4299,negated_conjecture,
( ~ product(X1,e_3,e_1)
| ~ product(e_2,e_4,e_1)
| product(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_1100,c_0_2192]),
[final] ).
cnf(c_0_4300,negated_conjecture,
( ~ product(X1,e_3,e_2)
| ~ product(e_2,e_4,e_1)
| product(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_105,c_0_2192]),
[final] ).
cnf(c_0_4301,negated_conjecture,
( ~ product(X1,e_5,e_4)
| product(e_4,X1,e_2)
| product(e_3,e_5,e_2)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_105,c_0_1550]),
[final] ).
cnf(c_0_4302,negated_conjecture,
( ~ product(X1,e_4,e_3)
| ~ product(e_3,e_5,e_2)
| product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_105,c_0_2036]),
[final] ).
cnf(c_0_4303,negated_conjecture,
( ~ product(X1,e_1,e_4)
| product(e_4,X1,e_3)
| product(e_3,e_5,e_2)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_105,c_0_3170]),
[final] ).
cnf(c_0_4304,negated_conjecture,
( ~ product(X1,e_3,e_5)
| product(e_5,X1,e_4)
| product(e_2,e_3,e_5)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_105,c_0_3171]),
[final] ).
cnf(c_0_4305,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_393,c_0_3171]),
[final] ).
cnf(c_0_4306,negated_conjecture,
( ~ product(X1,e_1,e_4)
| product(e_4,X1,e_3)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_105,c_0_3172]),
[final] ).
cnf(c_0_4307,negated_conjecture,
( ~ product(e_3,e_5,e_2)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_5)
| product(e_1,e_2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1563,c_0_1708]),c_0_1579]),
[final] ).
cnf(c_0_4308,negated_conjecture,
( ~ product(X1,e_5,e_3)
| product(e_3,X1,e_4)
| product(e_2,e_5,e_1)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_105,c_0_3173]),
[final] ).
cnf(c_0_4309,negated_conjecture,
( ~ product(e_5,e_4,e_3)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_3174,c_0_1373]),
[final] ).
cnf(c_0_4310,negated_conjecture,
( ~ product(X1,e_5,e_2)
| product(e_2,X1,e_3)
| product(e_2,e_3,e_5)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_105,c_0_3175]),
[final] ).
cnf(c_0_4311,negated_conjecture,
( ~ product(X1,e_1,e_5)
| product(e_5,X1,e_2)
| product(e_3,e_5,e_2)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_105,c_0_2359]),
[final] ).
cnf(c_0_4312,negated_conjecture,
( ~ product(e_1,e_4,e_2)
| product(e_3,e_5,e_2)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_304,c_0_2359]),
[final] ).
cnf(c_0_4313,negated_conjecture,
( ~ product(e_4,e_2,e_3)
| product(e_2,e_3,e_5)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_511,c_0_2278]),
[final] ).
cnf(c_0_4314,negated_conjecture,
( ~ product(e_4,e_5,e_2)
| product(e_2,e_3,e_5) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_356,c_0_2217]),c_0_413]),c_0_260]),
[final] ).
cnf(c_0_4315,negated_conjecture,
( ~ product(X1,e_5,e_4)
| ~ product(e_2,e_3,e_1)
| product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_3176,c_0_1305]),
[final] ).
cnf(c_0_4316,negated_conjecture,
( ~ product(X1,e_4,e_2)
| ~ product(e_3,e_5,e_2)
| product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_105,c_0_1756]),
[final] ).
cnf(c_0_4317,negated_conjecture,
( ~ product(X1,e_1,e_4)
| ~ product(e_3,e_5,e_2)
| product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_105,c_0_1708]),
[final] ).
cnf(c_0_4318,negated_conjecture,
( ~ product(X1,e_5,e_2)
| product(e_2,X1,e_3)
| product(e_2,e_3,e_5)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_105,c_0_3177]),
[final] ).
cnf(c_0_4319,negated_conjecture,
( ~ greater(e_2,e_3)
| ~ product(e_2,e_5,e_1)
| cycle(e_2,e_0)
| cycle(e_2,e_3) ),
inference(spm,[status(thm)],[c_0_2068,c_0_1659]),
[final] ).
cnf(c_0_4320,negated_conjecture,
( ~ product(X1,e_5,e_2)
| product(e_2,X1,e_1)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_105,c_0_3178]),
[final] ).
cnf(c_0_4321,negated_conjecture,
( ~ greater(e_2,e_3)
| ~ product(e_3,e_5,e_1)
| cycle(e_2,e_0)
| cycle(e_2,e_3) ),
inference(spm,[status(thm)],[c_0_2068,c_0_1618]),
[final] ).
cnf(c_0_4322,negated_conjecture,
( ~ product(X1,e_3,e_1)
| ~ product(e_2,e_5,e_1)
| product(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_105,c_0_1659]),
[final] ).
cnf(c_0_4323,negated_conjecture,
( ~ product(X1,e_3,e_1)
| ~ product(e_3,e_5,e_1)
| product(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_105,c_0_1618]),
[final] ).
cnf(c_0_4324,negated_conjecture,
( ~ product(e_4,e_2,e_1)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_511,c_0_1602]),
[final] ).
cnf(c_0_4325,negated_conjecture,
( ~ product(e_4,e_3,e_1)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_312,c_0_1602]),
[final] ).
cnf(c_0_4326,negated_conjecture,
( ~ product(e_4,e_5,e_2)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_417,c_0_1602]),
[final] ).
cnf(c_0_4327,negated_conjecture,
( ~ product(e_1,e_2,e_5)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_337,c_0_1430]),
[final] ).
cnf(c_0_4328,negated_conjecture,
( ~ product(e_3,e_4,e_5)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_1079,c_0_1425]),
[final] ).
cnf(c_0_4329,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_2890,c_0_2478]),
[final] ).
cnf(c_0_4330,negated_conjecture,
( ~ next(e_1,e_3)
| cycle(e_1,e_3)
| cycle(e_1,e_0)
| product(e_2,e_5,e_1)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_2891,c_0_2478]),
[final] ).
cnf(c_0_4331,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_2892,c_0_2219]),
[final] ).
cnf(c_0_4332,negated_conjecture,
( ~ product(X1,e_5,e_2)
| product(e_2,X1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_105,c_0_3179]),
[final] ).
cnf(c_0_4333,negated_conjecture,
( ~ product(X1,e_4,e_3)
| ~ product(e_2,e_3,e_1)
| product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_105,c_0_3180]),
[final] ).
cnf(c_0_4334,negated_conjecture,
( ~ product(X1,e_1,e_4)
| ~ product(e_2,e_3,e_1)
| product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_105,c_0_1609]),
[final] ).
cnf(c_0_4335,negated_conjecture,
( ~ product(X1,e_1,e_3)
| ~ product(e_2,e_3,e_1)
| product(e_3,X1,e_5) ),
inference(spm,[status(thm)],[c_0_105,c_0_1319]),
[final] ).
cnf(c_0_4336,negated_conjecture,
( ~ product(X1,e_3,e_4)
| ~ product(e_2,e_3,e_1)
| product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_105,c_0_1312]),
[final] ).
cnf(c_0_4337,negated_conjecture,
( ~ product(X1,e_3,e_2)
| ~ product(e_2,e_3,e_1)
| product(e_2,X1,e_5) ),
inference(spm,[status(thm)],[c_0_105,c_0_1800]),
[final] ).
cnf(c_0_4338,negated_conjecture,
( ~ product(X1,e_2,e_4)
| ~ product(e_2,e_3,e_1)
| product(e_4,X1,e_5) ),
inference(spm,[status(thm)],[c_0_105,c_0_1876]),
[final] ).
cnf(c_0_4339,negated_conjecture,
( ~ product(e_2,e_3,e_1)
| ~ product(e_1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_256,c_0_1319]),
[final] ).
cnf(c_0_4340,negated_conjecture,
( ~ product(X1,e_3,e_5)
| ~ product(e_2,e_3,e_1)
| product(e_5,X1,e_2) ),
inference(spm,[status(thm)],[c_0_105,c_0_1305]),
[final] ).
cnf(c_0_4341,negated_conjecture,
( ~ product(X1,e_5,e_2)
| product(e_2,X1,e_1)
| product(e_2,e_5,e_1)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_105,c_0_1807]),
[final] ).
cnf(c_0_4342,negated_conjecture,
( ~ next(e_1,X2)
| ~ greater(X1,X3)
| ~ cycle(X2,X3)
| ~ cycle(e_0,X1)
| cycle(e_1,e_4)
| product(e_2,e_3,e_5)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_3181,c_0_64]),
[final] ).
cnf(c_0_4343,negated_conjecture,
( ~ next(e_5,X1)
| ~ greater(e_0,X2)
| ~ cycle(X1,X2)
| cycle(e_1,e_4)
| product(e_2,e_5,e_1)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_2489,c_0_2516]),
[final] ).
cnf(c_0_4344,negated_conjecture,
( ~ greater(e_0,e_0)
| ~ product(e_1,e_1,e_3)
| cycle(e_1,e_4)
| 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_169,c_0_2516]),c_0_81])]),
[final] ).
cnf(c_0_4345,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(spm,[status(thm)],[c_0_3182,c_0_2516]),c_0_3183]),
[final] ).
cnf(c_0_4346,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_2479,c_0_2478]),
[final] ).
cnf(c_0_4347,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_3182,c_0_2787]),c_0_89])]),
[final] ).
cnf(c_0_4348,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_3182,c_0_140]),
[final] ).
cnf(c_0_4349,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_3184,c_0_2478]),
[final] ).
cnf(c_0_4350,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_3185,c_0_2219]),
[final] ).
cnf(c_0_4351,negated_conjecture,
( ~ next(e_5,e_1)
| cycle(e_1,e_4)
| product(e_2,e_3,e_5)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_2860,c_0_2516]),
[final] ).
cnf(c_0_4352,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_2860,c_0_2909]),
[final] ).
cnf(c_0_4353,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_2860,c_0_2789]),
[final] ).
cnf(c_0_4354,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_2860,c_0_140]),
[final] ).
cnf(c_0_4355,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_2861,c_0_2478]),
[final] ).
cnf(c_0_4356,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_2361,c_0_2910]),c_0_153])]),
[final] ).
cnf(c_0_4357,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_3186,c_0_81]),
[final] ).
cnf(c_0_4358,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_3187,c_0_89]),
[final] ).
cnf(c_0_4359,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_3188,c_0_138]),
[final] ).
cnf(c_0_4360,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_2914,c_0_2219]),
[final] ).
cnf(c_0_4361,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_2788,c_0_2219]),c_0_683]),c_0_68])]),
[final] ).
cnf(c_0_4362,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_169,c_0_2219]),c_0_683]),c_0_68])]),
[final] ).
cnf(c_0_4363,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_2367,c_0_2219]),c_0_683]),c_0_68])]),
[final] ).
cnf(c_0_4364,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_209,c_0_2219]),c_0_683]),c_0_68])]),
[final] ).
cnf(c_0_4365,negated_conjecture,
( ~ product(X1,e_5,e_4)
| product(e_4,X1,e_2)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_105,c_0_3189]),
[final] ).
cnf(c_0_4366,negated_conjecture,
( ~ product(X1,e_1,e_5)
| product(e_5,X1,e_2)
| product(e_2,e_3,e_5)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_105,c_0_1407]),
[final] ).
cnf(c_0_4367,negated_conjecture,
( ~ greater(e_2,e_3)
| cycle(e_2,e_0)
| cycle(e_2,e_3)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_2068,c_0_3190]),
[final] ).
cnf(c_0_4368,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_337,c_0_1272]),
[final] ).
cnf(c_0_4369,negated_conjecture,
( ~ product(e_2,e_5,e_4)
| product(e_2,e_3,e_5)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_1542,c_0_1265]),
[final] ).
cnf(c_0_4370,negated_conjecture,
( ~ product(X1,e_3,e_1)
| product(e_1,X1,e_4)
| product(e_2,e_5,e_1)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_105,c_0_2105]),
[final] ).
cnf(c_0_4371,negated_conjecture,
( ~ product(X1,e_5,e_1)
| product(e_1,X1,e_2)
| product(e_2,e_3,e_5)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_105,c_0_1745]),
[final] ).
cnf(c_0_4372,negated_conjecture,
( ~ product(X1,e_4,e_2)
| ~ product(e_2,e_3,e_1)
| product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_105,c_0_1290]),
[final] ).
cnf(c_0_4373,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_393,c_0_1713]),c_0_304]),
[final] ).
cnf(c_0_4374,negated_conjecture,
( ~ product(X1,e_2,e_5)
| ~ product(e_2,e_3,e_1)
| product(e_5,X1,e_4) ),
inference(spm,[status(thm)],[c_0_105,c_0_1286]),
[final] ).
cnf(c_0_4375,negated_conjecture,
( ~ product(X1,e_2,e_5)
| ~ product(e_2,e_3,e_4)
| product(e_5,X1,e_1) ),
inference(spm,[status(thm)],[c_0_105,c_0_1511]),
[final] ).
cnf(c_0_4376,negated_conjecture,
( ~ product(X1,e_2,e_4)
| product(e_4,X1,e_5)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_105,c_0_1231]),
[final] ).
cnf(c_0_4377,negated_conjecture,
( ~ product(X1,e_5,e_3)
| product(e_3,X1,e_4)
| product(e_2,e_3,e_4)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_105,c_0_1141]),
[final] ).
cnf(c_0_4378,negated_conjecture,
( ~ product(X1,e_1,e_2)
| product(e_2,X1,e_4)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_105,c_0_3191]),
[final] ).
cnf(c_0_4379,negated_conjecture,
( ~ greater(e_2,e_3)
| ~ product(e_2,e_3,e_5)
| cycle(e_2,e_0)
| cycle(e_2,e_3) ),
inference(spm,[status(thm)],[c_0_2068,c_0_1588]),
[final] ).
cnf(c_0_4380,negated_conjecture,
( ~ product(X1,e_1,e_3)
| product(e_3,X1,e_5)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_105,c_0_1576]),
[final] ).
cnf(c_0_4381,negated_conjecture,
( ~ product(e_1,e_3,e_4)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_256,c_0_1576]),
[final] ).
cnf(c_0_4382,negated_conjecture,
( ~ greater(e_2,e_3)
| cycle(e_2,e_0)
| cycle(e_2,e_3)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_2068,c_0_1276]),
[final] ).
cnf(c_0_4383,negated_conjecture,
( ~ product(X1,e_5,e_1)
| product(e_1,X1,e_2)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_105,c_0_1273]),
[final] ).
cnf(c_0_4384,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_3,e_2,e_4) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_3192,c_0_88]),c_0_3193]),c_0_3194]),
[final] ).
cnf(c_0_4385,negated_conjecture,
( ~ next(e_3,X1)
| ~ greater(e_0,X2)
| ~ cycle(X1,X2)
| cycle(e_3,e_2)
| cycle(e_1,e_4)
| cycle(e_1,e_3)
| cycle(e_1,e_2)
| product(e_1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_2482,c_0_187]),
[final] ).
cnf(c_0_4386,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_3,e_4) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_3195,c_0_88]),c_0_3196]),c_0_3197]),
[final] ).
cnf(c_0_4387,negated_conjecture,
( ~ next(e_3,e_2)
| ~ cycle(e_2,e_5)
| cycle(e_3,e_2)
| cycle(e_1,e_4)
| cycle(e_1,e_3)
| cycle(e_1,e_2)
| cycle(e_1,e_0) ),
inference(spm,[status(thm)],[c_0_3198,c_0_2789]),
[final] ).
cnf(c_0_4388,negated_conjecture,
( ~ next(e_3,e_3)
| cycle(e_3,e_2)
| cycle(e_1,e_4)
| cycle(e_1,e_3)
| cycle(e_1,e_2)
| cycle(e_1,e_0) ),
inference(spm,[status(thm)],[c_0_3198,c_0_2014]),
[final] ).
cnf(c_0_4389,negated_conjecture,
( ~ cycle(e_4,e_5)
| cycle(e_3,e_2)
| 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(spm,[status(thm)],[c_0_3198,c_0_2787]),c_0_89])]),
[final] ).
cnf(c_0_4390,negated_conjecture,
( ~ next(e_3,e_5)
| cycle(e_3,e_2)
| cycle(e_1,e_4)
| cycle(e_1,e_3)
| cycle(e_1,e_2)
| cycle(e_1,e_0) ),
inference(spm,[status(thm)],[c_0_3198,c_0_140]),
[final] ).
cnf(c_0_4391,negated_conjecture,
( ~ product(X1,e_1,e_5)
| product(e_5,X1,e_3)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_105,c_0_1271]),
[final] ).
cnf(c_0_4392,negated_conjecture,
( ~ product(e_4,e_5,e_3)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_258,c_0_1271]),
[final] ).
cnf(c_0_4393,negated_conjecture,
( ~ product(e_1,e_4,e_3)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_304,c_0_1271]),
[final] ).
cnf(c_0_4394,negated_conjecture,
( ~ product(e_5,e_3,e_4)
| product(e_5,e_4,e_3)
| product(e_3,e_2,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_278,c_0_3199]),c_0_719]),
[final] ).
cnf(c_0_4395,negated_conjecture,
( ~ 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_3200,c_0_88]),c_0_2759])]),
[final] ).
cnf(c_0_4396,negated_conjecture,
( ~ 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_3201,c_0_88]),c_0_89])]),
[final] ).
cnf(c_0_4397,negated_conjecture,
( ~ 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_3202,c_0_88]),c_0_89])]),
[final] ).
cnf(c_0_4398,negated_conjecture,
( ~ 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_3203,c_0_88]),c_0_89])]),
[final] ).
cnf(c_0_4399,negated_conjecture,
( ~ 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_3204,c_0_88]),c_0_89])]),
[final] ).
cnf(c_0_4400,negated_conjecture,
( ~ product(e_4,e_3,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_312,c_0_1070]),
[final] ).
cnf(c_0_4401,negated_conjecture,
( ~ greater(e_2,e_3)
| ~ product(e_2,e_3,e_4)
| cycle(e_2,e_0)
| cycle(e_2,e_3) ),
inference(spm,[status(thm)],[c_0_2068,c_0_1078]),
[final] ).
cnf(c_0_4402,negated_conjecture,
( ~ product(X1,e_5,e_3)
| product(e_3,X1,e_4)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_105,c_0_1059]),
[final] ).
cnf(c_0_4403,negated_conjecture,
( ~ product(e_1,e_5,e_2)
| product(e_3,e_1,e_2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_259,c_0_1259]),c_0_356]),c_0_413]),
[final] ).
cnf(c_0_4404,negated_conjecture,
( ~ next(e_1,X2)
| ~ greater(X1,X3)
| ~ cycle(X2,X3)
| ~ cycle(e_0,X1)
| cycle(e_1,e_4)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_3205,c_0_64]),
[final] ).
cnf(c_0_4405,negated_conjecture,
( ~ next(e_5,X1)
| ~ greater(e_0,X2)
| ~ cycle(X1,X2)
| cycle(e_1,e_4)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_2489,c_0_2527]),
[final] ).
cnf(c_0_4406,negated_conjecture,
( ~ 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_2892,c_0_2372]),
[final] ).
cnf(c_0_4407,negated_conjecture,
( ~ 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_2890,c_0_2764]),
[final] ).
cnf(c_0_4408,negated_conjecture,
( ~ greater(e_0,e_0)
| ~ product(e_1,e_1,e_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_3206]),c_0_70]),c_0_81])]),
[final] ).
cnf(c_0_4409,negated_conjecture,
( ~ greater(e_0,e_0)
| ~ product(e_1,e_1,e_5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_3207]),c_0_70]),c_0_81])]),
[final] ).
cnf(c_0_4410,negated_conjecture,
( ~ greater(e_0,e_0)
| ~ product(e_1,e_1,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_3208]),c_0_70]),c_0_81])]),
[final] ).
cnf(c_0_4411,negated_conjecture,
( ~ next(e_1,e_3)
| cycle(e_1,e_3)
| cycle(e_1,e_0)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_2891,c_0_2764]),
[final] ).
cnf(c_0_4412,negated_conjecture,
( ~ greater(e_2,e_3)
| ~ product(e_3,e_5,e_4)
| cycle(e_2,e_0)
| cycle(e_2,e_3) ),
inference(spm,[status(thm)],[c_0_2068,c_0_2382]),
[final] ).
cnf(c_0_4413,negated_conjecture,
( ~ greater(e_2,e_3)
| ~ product(e_3,e_2,e_4)
| cycle(e_2,e_0)
| cycle(e_2,e_3) ),
inference(spm,[status(thm)],[c_0_2068,c_0_1077]),
[final] ).
cnf(c_0_4414,negated_conjecture,
( ~ product(X1,e_1,e_4)
| product(e_4,X1,e_2)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_105,c_0_1042]),
[final] ).
cnf(c_0_4415,negated_conjecture,
( ~ next(e_5,e_2)
| ~ greater(e_3,e_3)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_3209,c_0_2372]),
[final] ).
cnf(c_0_4416,negated_conjecture,
( ~ 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_3210,c_0_2910]),c_0_214]),c_0_153])]),
[final] ).
cnf(c_0_4417,negated_conjecture,
( ~ next(e_2,X1)
| ~ next(X2,e_2)
| ~ cycle(X1,X2)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_74,c_0_2372]),
[final] ).
cnf(c_0_4418,negated_conjecture,
( ~ next(e_2,X1)
| ~ next(X2,e_4)
| ~ cycle(X1,X2)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_136,c_0_2372]),
[final] ).
cnf(c_0_4419,negated_conjecture,
( ~ next(e_2,X1)
| ~ next(X2,e_5)
| ~ cycle(X1,X2)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_127,c_0_2372]),
[final] ).
cnf(c_0_4420,negated_conjecture,
( ~ 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_3200,c_0_2909]),c_0_113])]),
[final] ).
cnf(c_0_4421,negated_conjecture,
( ~ 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_3200,c_0_2789]),c_0_113])]),
[final] ).
cnf(c_0_4422,negated_conjecture,
( ~ next(e_5,e_2)
| ~ greater(e_2,e_3)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_3200,c_0_2372]),
[final] ).
cnf(c_0_4423,negated_conjecture,
( ~ 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_3200,c_0_140]),c_0_113])]),
[final] ).
cnf(c_0_4424,negated_conjecture,
( ~ 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_3201,c_0_2909]),c_0_214])]),
[final] ).
cnf(c_0_4425,negated_conjecture,
( ~ 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_3201,c_0_2787]),c_0_214]),c_0_89])]),
[final] ).
cnf(c_0_4426,negated_conjecture,
( ~ 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_3201,c_0_140]),c_0_214])]),
[final] ).
cnf(c_0_4427,negated_conjecture,
( ~ product(X1,e_3,e_1)
| product(e_1,X1,e_4)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_105,c_0_985]),
[final] ).
cnf(c_0_4428,negated_conjecture,
( ~ product(X1,e_3,e_1)
| ~ product(e_2,e_3,e_5)
| product(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_1100,c_0_1123]),
[final] ).
cnf(c_0_4429,negated_conjecture,
( ~ next(e_3,e_1)
| cycle(e_1,e_4)
| product(e_3,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_222,c_0_2527]),c_0_990]),
[final] ).
cnf(c_0_4430,negated_conjecture,
( ~ next(e_5,e_1)
| cycle(e_1,e_4)
| product(e_3,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_3211,c_0_2527]),c_0_990]),
[final] ).
cnf(c_0_4431,negated_conjecture,
( ~ product(X1,e_3,e_1)
| ~ product(e_3,e_5,e_4)
| product(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_105,c_0_2382]),
[final] ).
cnf(c_0_4432,negated_conjecture,
( ~ next(e_3,e_2)
| product(e_3,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_3212,c_0_2372]),c_0_990]),
[final] ).
cnf(c_0_4433,negated_conjecture,
( ~ cycle(e_2,e_2)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_2914,c_0_2372]),
[final] ).
cnf(c_0_4434,negated_conjecture,
( ~ 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_2788,c_0_2372]),c_0_683]),c_0_68])]),
[final] ).
cnf(c_0_4435,negated_conjecture,
( ~ 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_169,c_0_2372]),c_0_683]),c_0_68])]),
[final] ).
cnf(c_0_4436,negated_conjecture,
( ~ 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_2367,c_0_2372]),c_0_683]),c_0_68])]),
[final] ).
cnf(c_0_4437,negated_conjecture,
( ~ 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_209,c_0_2372]),c_0_683]),c_0_68])]),
[final] ).
cnf(c_0_4438,negated_conjecture,
( ~ next(e_5,e_3)
| product(e_3,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_3213,c_0_2764]),c_0_990]),
[final] ).
cnf(c_0_4439,negated_conjecture,
( ~ next(e_3,e_3)
| product(e_3,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_3214,c_0_2764]),c_0_990]),
[final] ).
cnf(c_0_4440,negated_conjecture,
( ~ next(e_5,e_1)
| ~ greater(X1,e_3)
| ~ product(e_3,e_1,X1)
| cycle(e_1,e_4)
| cycle(e_1,e_3)
| cycle(e_1,e_2)
| product(e_1,e_1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2785,c_0_187]),c_0_113])]),
[final] ).
cnf(c_0_4441,negated_conjecture,
( ~ next(e_3,e_1)
| ~ greater(X1,e_3)
| ~ product(e_3,e_1,X1)
| cycle(e_1,e_4)
| cycle(e_1,e_3)
| cycle(e_1,e_2)
| product(e_1,e_1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3215,c_0_187]),c_0_214])]),
[final] ).
cnf(c_0_4442,negated_conjecture,
( ~ next(e_5,e_1)
| ~ greater(X1,e_3)
| ~ product(e_3,e_1,X1)
| 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(spm,[status(thm)],[c_0_2785,c_0_166]),c_0_2759])]),
[final] ).
cnf(c_0_4443,negated_conjecture,
( ~ 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_2785,c_0_88]),c_0_2759])]),
[final] ).
cnf(c_0_4444,negated_conjecture,
( ~ 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_3215,c_0_88]),c_0_89])]),
[final] ).
cnf(c_0_4445,negated_conjecture,
( ~ 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_3216,c_0_88]),c_0_89])]),
[final] ).
cnf(c_0_4446,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_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_2890,c_0_2486]),
[final] ).
cnf(c_0_4447,negated_conjecture,
( ~ next(e_1,e_3)
| cycle(e_1,e_3)
| cycle(e_1,e_0)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_2891,c_0_2486]),
[final] ).
cnf(c_0_4448,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_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2892,c_0_2220]),
[final] ).
cnf(c_0_4449,negated_conjecture,
( ~ next(e_1,X2)
| ~ greater(X1,X3)
| ~ cycle(X2,X3)
| ~ cycle(e_0,X1)
| cycle(e_1,e_4)
| product(e_2,e_3,e_4)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_3217,c_0_64]),
[final] ).
cnf(c_0_4450,negated_conjecture,
( ~ next(e_5,X1)
| ~ greater(e_0,X2)
| ~ cycle(X1,X2)
| cycle(e_1,e_4)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_2489,c_0_2517]),
[final] ).
cnf(c_0_4451,negated_conjecture,
( ~ greater(e_0,e_0)
| ~ product(e_1,e_1,e_3)
| cycle(e_1,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(spm,[status(thm)],[c_0_169,c_0_2517]),c_0_81])]),
[final] ).
cnf(c_0_4452,negated_conjecture,
( ~ next(e_3,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_3218,c_0_2517]),c_0_3219]),
[final] ).
cnf(c_0_4453,negated_conjecture,
( ~ next(e_5,X1)
| ~ greater(e_2,X2)
| ~ cycle(X1,X2)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_2479,c_0_2486]),
[final] ).
cnf(c_0_4454,negated_conjecture,
( ~ cycle(e_4,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_3218,c_0_2787]),c_0_89])]),
[final] ).
cnf(c_0_4455,negated_conjecture,
( ~ next(e_3,e_5)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_3218,c_0_140]),
[final] ).
cnf(c_0_4456,negated_conjecture,
( ~ next(e_3,e_3)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_3220,c_0_2486]),
[final] ).
cnf(c_0_4457,negated_conjecture,
( ~ next(e_3,e_2)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_3221,c_0_2220]),
[final] ).
cnf(c_0_4458,negated_conjecture,
( ~ next(e_5,e_1)
| cycle(e_1,e_4)
| product(e_2,e_3,e_4)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_3193,c_0_2517]),
[final] ).
cnf(c_0_4459,negated_conjecture,
( ~ next(e_5,e_1)
| ~ cycle(e_1,e_5)
| product(e_2,e_3,e_4)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_3193,c_0_2909]),
[final] ).
cnf(c_0_4460,negated_conjecture,
( ~ next(e_5,e_2)
| ~ cycle(e_2,e_5)
| product(e_2,e_3,e_4)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_3193,c_0_2789]),
[final] ).
cnf(c_0_4461,negated_conjecture,
( ~ next(e_5,e_3)
| product(e_2,e_3,e_4)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_3194,c_0_2486]),
[final] ).
cnf(c_0_4462,negated_conjecture,
( ~ next(e_5,e_5)
| product(e_2,e_3,e_4)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_3193,c_0_140]),
[final] ).
cnf(c_0_4463,negated_conjecture,
( ~ cycle(e_3,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_2365,c_0_2910]),c_0_153])]),
[final] ).
cnf(c_0_4464,negated_conjecture,
( ~ next(e_2,X1)
| ~ cycle(X1,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_3222,c_0_81]),
[final] ).
cnf(c_0_4465,negated_conjecture,
( ~ next(e_2,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_3223,c_0_89]),
[final] ).
cnf(c_0_4466,negated_conjecture,
( ~ next(e_2,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_3224,c_0_138]),
[final] ).
cnf(c_0_4467,negated_conjecture,
( ~ cycle(e_2,e_2)
| product(e_2,e_3,e_4)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2914,c_0_2220]),
[final] ).
cnf(c_0_4468,negated_conjecture,
( ~ next(e_2,e_1)
| product(e_2,e_3,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_2788,c_0_2220]),c_0_683]),c_0_68])]),
[final] ).
cnf(c_0_4469,negated_conjecture,
( ~ next(e_2,e_2)
| product(e_2,e_3,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_169,c_0_2220]),c_0_683]),c_0_68])]),
[final] ).
cnf(c_0_4470,negated_conjecture,
( ~ next(e_2,e_4)
| product(e_2,e_3,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_2367,c_0_2220]),c_0_683]),c_0_68])]),
[final] ).
cnf(c_0_4471,negated_conjecture,
( ~ next(e_2,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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_209,c_0_2220]),c_0_683]),c_0_68])]),
[final] ).
cnf(c_0_4472,negated_conjecture,
( ~ product(X1,e_3,e_1)
| product(e_1,X1,e_4)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_105,c_0_957]),
[final] ).
cnf(c_0_4473,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_242,c_0_957]),c_0_511]),
[final] ).
cnf(c_0_4474,negated_conjecture,
( ~ next(e_3,e_1)
| ~ next(e_1,e_4)
| ~ greater(X1,e_3)
| ~ product(e_3,e_1,X1)
| cycle(e_1,e_4)
| cycle(e_1,e_3)
| cycle(e_1,e_2)
| cycle(e_1,e_0) ),
inference(spm,[status(thm)],[c_0_3225,c_0_166]),
[final] ).
cnf(c_0_4475,negated_conjecture,
( ~ product(X1,e_4,e_2)
| product(e_2,X1,e_3)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_105,c_0_983]),
[final] ).
cnf(c_0_4476,negated_conjecture,
( ~ product(e_5,e_2,e_3)
| product(e_3,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_261,c_0_979]),c_0_348]),
[final] ).
cnf(c_0_4477,negated_conjecture,
( ~ 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_3225,c_0_88]),c_0_89])]),
[final] ).
cnf(c_0_4478,negated_conjecture,
( ~ greater(e_2,e_3)
| cycle(e_2,e_0)
| cycle(e_2,e_3)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_2068,c_0_915]),
[final] ).
cnf(c_0_4479,negated_conjecture,
( ~ greater(e_2,e_3)
| cycle(e_2,e_0)
| cycle(e_2,e_3)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_2068,c_0_908]),
[final] ).
cnf(c_0_4480,negated_conjecture,
( ~ product(e_5,e_4,e_2)
| product(e_3,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_413,c_0_1023]),c_0_278]),
[final] ).
cnf(c_0_4481,negated_conjecture,
( ~ product(X1,e_3,e_1)
| product(e_1,X1,e_2)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_105,c_0_915]),
[final] ).
cnf(c_0_4482,negated_conjecture,
( ~ product(X1,e_3,e_1)
| product(e_1,X1,e_2)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_105,c_0_908]),
[final] ).
cnf(c_0_4483,negated_conjecture,
( ~ next(e_3,e_1)
| ~ next(e_1,e_5)
| ~ greater(X1,e_3)
| ~ product(e_3,e_1,X1)
| cycle(e_1,e_4)
| cycle(e_1,e_3)
| cycle(e_1,e_2)
| cycle(e_1,e_0) ),
inference(spm,[status(thm)],[c_0_3226,c_0_166]),
[final] ).
cnf(c_0_4484,negated_conjecture,
( ~ greater(e_2,e_3)
| cycle(e_2,e_0)
| cycle(e_2,e_3)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_2068,c_0_980]),
[final] ).
cnf(c_0_4485,negated_conjecture,
( ~ product(X1,e_3,e_1)
| product(e_1,X1,e_2)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_105,c_0_980]),
[final] ).
cnf(c_0_4486,negated_conjecture,
( ~ greater(e_2,e_3)
| cycle(e_2,e_0)
| cycle(e_2,e_3)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_2068,c_0_1001]),
[final] ).
cnf(c_0_4487,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_3,e_4) ),
inference(spm,[status(thm)],[c_0_2892,c_0_2481]),
[final] ).
cnf(c_0_4488,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_2890,c_0_2480]),
[final] ).
cnf(c_0_4489,negated_conjecture,
( ~ next(e_1,e_3)
| cycle(e_1,e_3)
| cycle(e_1,e_0)
| product(e_2,e_3,e_5)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_2891,c_0_2480]),
[final] ).
cnf(c_0_4490,negated_conjecture,
( ~ 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_3226,c_0_88]),c_0_89])]),
[final] ).
cnf(c_0_4491,negated_conjecture,
( ~ next(e_1,X2)
| ~ greater(X1,X3)
| ~ cycle(X2,X3)
| ~ cycle(e_0,X1)
| cycle(e_1,e_4)
| product(e_2,e_3,e_5)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_3227,c_0_64]),
[final] ).
cnf(c_0_4492,negated_conjecture,
( ~ next(e_5,X1)
| ~ greater(e_0,X2)
| ~ cycle(X1,X2)
| cycle(e_1,e_4)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_2489,c_0_2518]),
[final] ).
cnf(c_0_4493,negated_conjecture,
( ~ greater(e_0,e_0)
| ~ product(e_1,e_1,e_3)
| cycle(e_1,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(spm,[status(thm)],[c_0_169,c_0_2518]),c_0_81])]),
[final] ).
cnf(c_0_4494,negated_conjecture,
( ~ product(X1,e_5,e_3)
| product(e_3,X1,e_4)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_105,c_0_1230]),
[final] ).
cnf(c_0_4495,negated_conjecture,
( ~ product(X1,e_5,e_1)
| product(e_1,X1,e_2)
| product(e_2,e_3,e_5)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_105,c_0_3228]),
[final] ).
cnf(c_0_4496,negated_conjecture,
( ~ product(X1,e_3,e_1)
| product(e_1,X1,e_4)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_105,c_0_994]),
[final] ).
cnf(c_0_4497,negated_conjecture,
( ~ product(X1,e_5,e_2)
| product(e_2,X1,e_1)
| product(e_2,e_3,e_5)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_105,c_0_3229]),
[final] ).
cnf(c_0_4498,negated_conjecture,
( ~ product(X1,e_4,e_5)
| product(e_5,X1,e_1)
| product(e_2,e_3,e_5)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_105,c_0_3230]),
[final] ).
cnf(c_0_4499,negated_conjecture,
( ~ product(X1,e_3,e_5)
| product(e_5,X1,e_2)
| product(e_2,e_3,e_5)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_105,c_0_3231]),
[final] ).
cnf(c_0_4500,negated_conjecture,
( ~ product(X1,e_2,e_3)
| product(e_3,X1,e_1)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_105,c_0_3232]),
[final] ).
cnf(c_0_4501,negated_conjecture,
( ~ cycle(e_3,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_3233,c_0_2910]),c_0_153])]),
[final] ).
cnf(c_0_4502,negated_conjecture,
( ~ next(e_2,X1)
| ~ cycle(X1,e_1)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_3234,c_0_81]),
[final] ).
cnf(c_0_4503,negated_conjecture,
( ~ next(e_2,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_3235,c_0_89]),
[final] ).
cnf(c_0_4504,negated_conjecture,
( ~ next(e_2,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_3236,c_0_138]),
[final] ).
cnf(c_0_4505,negated_conjecture,
( ~ next(e_5,e_1)
| cycle(e_1,e_4)
| product(e_2,e_3,e_5)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_3196,c_0_2518]),
[final] ).
cnf(c_0_4506,negated_conjecture,
( ~ next(e_5,e_1)
| ~ cycle(e_1,e_5)
| product(e_2,e_3,e_5)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_3196,c_0_2909]),
[final] ).
cnf(c_0_4507,negated_conjecture,
( ~ next(e_5,e_2)
| ~ cycle(e_2,e_5)
| product(e_2,e_3,e_5)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_3196,c_0_2789]),
[final] ).
cnf(c_0_4508,negated_conjecture,
( ~ next(e_5,e_5)
| product(e_2,e_3,e_5)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_3196,c_0_140]),
[final] ).
cnf(c_0_4509,negated_conjecture,
( ~ next(e_3,e_1)
| ~ cycle(e_1,e_5)
| product(e_2,e_3,e_5)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_3237,c_0_2909]),
[final] ).
cnf(c_0_4510,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_3237,c_0_2787]),c_0_89])]),
[final] ).
cnf(c_0_4511,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_3237,c_0_140]),
[final] ).
cnf(c_0_4512,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_3238,c_0_153]),
[final] ).
cnf(c_0_4513,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_3239,c_0_89]),
[final] ).
cnf(c_0_4514,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_3240,c_0_138]),
[final] ).
cnf(c_0_4515,negated_conjecture,
( ~ next(e_3,e_1)
| cycle(e_1,e_4)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_3241,c_0_2518]),c_0_842]),
[final] ).
cnf(c_0_4516,negated_conjecture,
( ~ next(e_3,e_2)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_3242,c_0_2481]),c_0_842]),
[final] ).
cnf(c_0_4517,negated_conjecture,
( ~ cycle(e_2,e_2)
| product(e_2,e_3,e_5)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_2914,c_0_2481]),
[final] ).
cnf(c_0_4518,negated_conjecture,
( ~ next(e_2,e_1)
| product(e_2,e_3,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_2788,c_0_2481]),c_0_683]),c_0_68])]),
[final] ).
cnf(c_0_4519,negated_conjecture,
( ~ next(e_2,e_2)
| product(e_2,e_3,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_169,c_0_2481]),c_0_683]),c_0_68])]),
[final] ).
cnf(c_0_4520,negated_conjecture,
( ~ next(e_2,e_4)
| product(e_2,e_3,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_2367,c_0_2481]),c_0_683]),c_0_68])]),
[final] ).
cnf(c_0_4521,negated_conjecture,
( ~ next(e_2,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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_209,c_0_2481]),c_0_683]),c_0_68])]),
[final] ).
cnf(c_0_4522,negated_conjecture,
( ~ next(e_5,e_3)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_3243,c_0_2480]),c_0_842]),
[final] ).
cnf(c_0_4523,negated_conjecture,
( ~ next(e_3,e_3)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_3244,c_0_2480]),c_0_842]),
[final] ).
cnf(c_0_4524,negated_conjecture,
( ~ next(e_5,e_3)
| cycle(e_1,e_4)
| cycle(e_1,e_3)
| cycle(e_1,e_2)
| cycle(e_1,e_0)
| cycle(e_3,e_2) ),
inference(spm,[status(thm)],[c_0_3245,c_0_2014]),
[final] ).
cnf(c_0_4525,negated_conjecture,
( ~ next(e_1,e_1)
| ~ greater(e_0,e_0)
| ~ product(e_1,e_1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2782,c_0_3246]),c_0_70])]),
[final] ).
cnf(c_0_4526,negated_conjecture,
( ~ next(e_1,e_3)
| ~ greater(e_0,e_0)
| ~ product(e_1,e_1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_567,c_0_3247]),c_0_70])]),
[final] ).
cnf(c_0_4527,negated_conjecture,
( ~ next(e_1,e_4)
| ~ greater(e_0,e_0)
| ~ product(e_1,e_1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2364,c_0_3248]),c_0_70])]),
[final] ).
cnf(c_0_4528,negated_conjecture,
( ~ next(e_1,e_5)
| ~ greater(e_0,e_0)
| ~ product(e_1,e_1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_210,c_0_3249]),c_0_70])]),
[final] ).
cnf(c_0_4529,negated_conjecture,
( ~ 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(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2785,c_0_2285]),c_0_3250]),c_0_3251]),
[final] ).
cnf(c_0_4530,negated_conjecture,
( ~ 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_2914,c_0_3252]),c_0_2040]),
[final] ).
cnf(c_0_4531,negated_conjecture,
( ~ 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_2890,c_0_2040]),
[final] ).
cnf(c_0_4532,negated_conjecture,
( ~ next(e_1,e_3)
| ~ greater(X1,e_3)
| ~ product(e_3,e_1,X1)
| cycle(e_1,e_3)
| cycle(e_1,e_0) ),
inference(spm,[status(thm)],[c_0_2891,c_0_2040]),
[final] ).
cnf(c_0_4533,negated_conjecture,
( ~ 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_2785,c_0_2040]),
[final] ).
cnf(c_0_4534,negated_conjecture,
( ~ 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_2785,c_0_2909]),c_0_113])]),
[final] ).
cnf(c_0_4535,negated_conjecture,
( ~ 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_2785,c_0_2789]),c_0_113])]),
[final] ).
cnf(c_0_4536,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_3253,c_0_776])]),
[final] ).
cnf(c_0_4537,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_3254,c_0_776])]),
[final] ).
cnf(c_0_4538,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_3255,c_0_776])]),
[final] ).
cnf(c_0_4539,negated_conjecture,
( ~ 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_3215,c_0_2909]),c_0_214])]),
[final] ).
cnf(c_0_4540,negated_conjecture,
( ~ next(e_5,e_5)
| ~ product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_3256,c_0_104]),
[final] ).
cnf(c_0_4541,negated_conjecture,
( ~ 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_3215,c_0_2789]),c_0_214])]),
[final] ).
cnf(c_0_4542,negated_conjecture,
( ~ 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_3215,c_0_2787]),c_0_214]),c_0_89])]),
[final] ).
cnf(c_0_4543,negated_conjecture,
( ~ 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_3215,c_0_140]),c_0_214])]),
[final] ).
cnf(c_0_4544,negated_conjecture,
( ~ 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_2482,c_0_2909]),
[final] ).
cnf(c_0_4545,negated_conjecture,
( ~ 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_3257,c_0_2789]),
[final] ).
cnf(c_0_4546,negated_conjecture,
( ~ 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_2362,c_0_68]),
[final] ).
cnf(c_0_4547,negated_conjecture,
( ~ next(e_3,e_1)
| ~ product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_3258,c_0_104]),
[final] ).
cnf(c_0_4548,negated_conjecture,
( ~ next(e_3,e_5)
| ~ product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_3259,c_0_104]),
[final] ).
cnf(c_0_4549,negated_conjecture,
( ~ next(e_3,e_3)
| ~ product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_3260,c_0_104]),
[final] ).
cnf(c_0_4550,negated_conjecture,
( ~ next(e_3,e_2)
| ~ product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_3261,c_0_104]),
[final] ).
cnf(c_0_4551,negated_conjecture,
( ~ next(e_5,X1)
| ~ greater(e_0,X2)
| ~ cycle(X1,X2)
| cycle(e_3,e_2) ),
inference(spm,[status(thm)],[c_0_2479,c_0_2014]),
[final] ).
cnf(c_0_4552,negated_conjecture,
( ~ greater(e_0,e_0)
| ~ product(e_1,e_1,e_3)
| cycle(e_1,e_4)
| product(e_3,e_1,e_2) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_169,c_0_2375]),c_0_81])]),c_0_90]),
[final] ).
cnf(c_0_4553,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_3262,c_0_776])]),
[final] ).
cnf(c_0_4554,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_3263,c_0_776])]),
[final] ).
cnf(c_0_4555,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_3264,c_0_776])]),
[final] ).
cnf(c_0_4556,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_3265,c_0_776])]),
[final] ).
cnf(c_0_4557,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_3266,c_0_683])]),
[final] ).
cnf(c_0_4558,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_3267,c_0_683])]),
[final] ).
cnf(c_0_4559,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_3268,c_0_683])]),
[final] ).
cnf(c_0_4560,negated_conjecture,
( ~ next(e_2,X1)
| ~ cycle(X1,e_0)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_3269,c_0_214]),
[final] ).
cnf(c_0_4561,negated_conjecture,
( ~ next(e_2,X1)
| ~ cycle(X1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_3270,c_0_81]),
[final] ).
cnf(c_0_4562,negated_conjecture,
( ~ next(e_2,X1)
| ~ cycle(X1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_3271,c_0_89]),
[final] ).
cnf(c_0_4563,negated_conjecture,
( ~ next(e_2,X1)
| ~ cycle(X1,e_4)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_3272,c_0_138]),
[final] ).
cnf(c_0_4564,plain,
( ~ next(e_2,e_5)
| ~ greater(e_0,e_0)
| ~ cycle(e_2,e_5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_3273,c_0_683])]),
[final] ).
cnf(c_0_4565,plain,
( ~ next(e_2,e_4)
| ~ greater(e_0,e_0)
| ~ cycle(e_2,e_5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_3274,c_0_683])]),
[final] ).
cnf(c_0_4566,plain,
( ~ next(e_2,e_2)
| ~ greater(e_0,e_0)
| ~ cycle(e_2,e_5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_3275,c_0_683])]),
[final] ).
cnf(c_0_4567,plain,
( ~ next(e_2,e_1)
| ~ greater(e_0,e_0)
| ~ cycle(e_2,e_5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_3276,c_0_683])]),
[final] ).
cnf(c_0_4568,negated_conjecture,
( ~ product(e_5,e_1,e_3)
| product(e_1,e_1,e_2)
| product(e_2,e_1,e_4)
| product(e_2,e_1,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_427,c_0_618]),c_0_719]),
[final] ).
cnf(c_0_4569,negated_conjecture,
( ~ product(e_2,e_5,e_4)
| product(e_1,e_3,e_4)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_3,e_5,e_2)
| product(e_1,e_5,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_406,c_0_1915]),c_0_312]),
[final] ).
cnf(c_0_4570,negated_conjecture,
( ~ greater(e_2,e_3)
| cycle(e_3,e_2)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1095,c_0_1171]),c_0_3277]),
[final] ).
cnf(c_0_4571,negated_conjecture,
( ~ greater(e_2,e_3)
| cycle(e_3,e_3)
| cycle(e_3,e_2)
| cycle(e_3,e_4)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_184,c_0_1171]),
[final] ).
cnf(c_0_4572,negated_conjecture,
( ~ product(e_1,e_3,e_5)
| product(e_3,e_5,e_2)
| product(e_2,e_3,e_4)
| product(e_1,e_4,e_4)
| product(e_1,e_4,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_278,c_0_3278]),c_0_406]),
[final] ).
cnf(c_0_4573,negated_conjecture,
( ~ product(e_2,e_4,e_5)
| product(e_2,e_3,e_4)
| product(e_3,e_4,e_1)
| product(e_1,e_4,e_4)
| product(e_1,e_4,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_406,c_0_879]),c_0_278]),
[final] ).
cnf(c_0_4574,negated_conjecture,
( ~ greater(e_2,e_3)
| cycle(e_3,e_3)
| cycle(e_3,e_2)
| cycle(e_3,e_4)
| product(e_3,e_4,e_3)
| product(e_2,e_2,e_5)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_184,c_0_954]),
[final] ).
cnf(c_0_4575,negated_conjecture,
( ~ greater(e_2,e_3)
| cycle(e_3,e_3)
| cycle(e_3,e_2)
| cycle(e_3,e_4)
| product(e_3,e_5,e_2)
| product(e_3,e_3,e_5)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_184,c_0_1758]),
[final] ).
cnf(c_0_4576,negated_conjecture,
( ~ next(e_3,e_1)
| product(e_2,e_2,e_4)
| product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| product(e_2,e_2,e_5) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2786,c_0_823]),c_0_113])]),c_0_725]),
[final] ).
cnf(c_0_4577,negated_conjecture,
( ~ next(e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2786,c_0_2225]),c_0_113])]),c_0_634]),
[final] ).
cnf(c_0_4578,negated_conjecture,
( ~ greater(e_2,e_3)
| cycle(e_3,e_2)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_3,e_4,e_3)
| product(e_3,e_5,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1095,c_0_412]),c_0_3279]),
[final] ).
cnf(c_0_4579,negated_conjecture,
( ~ greater(e_2,e_3)
| cycle(e_3,e_3)
| cycle(e_3,e_2)
| cycle(e_3,e_4)
| product(e_3,e_4,e_3)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_184,c_0_412]),
[final] ).
cnf(c_0_4580,negated_conjecture,
( ~ next(e_5,e_4)
| cycle(e_4,e_4)
| cycle(e_4,e_3)
| cycle(e_4,e_2)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_3280,c_0_88]),c_0_3211]),
[final] ).
cnf(c_0_4581,negated_conjecture,
( ~ next(e_3,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2786,c_0_2135]),c_0_113])]),c_0_200]),
[final] ).
cnf(c_0_4582,negated_conjecture,
( ~ product(e_5,e_1,e_4)
| product(e_3,e_1,e_5)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_427,c_0_130]),c_0_333]),
[final] ).
cnf(c_0_4583,negated_conjecture,
( ~ 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(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_3281,c_0_1084]),c_0_217]),c_0_218]),c_0_219]),
[final] ).
cnf(c_0_4584,plain,
( ~ next(e_3,X1)
| ~ greater(e_0,X2)
| ~ cycle(X1,X2)
| 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)
| cycle(e_1,e_2) ),
inference(spm,[status(thm)],[c_0_3282,c_0_2499]),
[final] ).
cnf(c_0_4585,plain,
( ~ next(e_3,e_1)
| 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)
| cycle(e_1,e_2) ),
inference(spm,[status(thm)],[c_0_3283,c_0_2499]),
[final] ).
cnf(c_0_4586,plain,
( ~ next(e_3,e_1)
| ~ cycle(e_1,e_5)
| 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_3283,c_0_2909]),
[final] ).
cnf(c_0_4587,plain,
( ~ next(e_3,e_3)
| 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_3283,c_0_2283]),
[final] ).
cnf(c_0_4588,plain,
( ~ cycle(e_4,e_5)
| 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(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3283,c_0_2787]),c_0_89])]),
[final] ).
cnf(c_0_4589,plain,
( ~ next(e_3,e_5)
| 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_3283,c_0_140]),
[final] ).
cnf(c_0_4590,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_3284,c_0_2283]),
[final] ).
cnf(c_0_4591,plain,
( ~ product(e_1,e_1,e_3)
| cycle(e_2,e_0)
| cycle(e_2,e_2)
| cycle(e_2,e_3)
| cycle(e_2,e_4)
| product(e_1,e_5,e_2)
| product(e_1,e_5,e_4)
| product(e_1,e_5,e_5) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_169,c_0_3285]),c_0_113]),c_0_81])]),c_0_242]),
[final] ).
cnf(c_0_4592,plain,
( ~ product(e_1,e_1,e_5)
| cycle(e_2,e_0)
| cycle(e_2,e_2)
| cycle(e_2,e_3)
| cycle(e_2,e_4)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_4) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_3286]),c_0_113]),c_0_81])]),c_0_107]),
[final] ).
cnf(c_0_4593,plain,
( ~ product(e_1,e_1,e_4)
| cycle(e_2,e_0)
| cycle(e_2,e_2)
| cycle(e_2,e_3)
| cycle(e_2,e_4)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_5) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_3286]),c_0_113]),c_0_81])]),c_0_107]),
[final] ).
cnf(c_0_4594,plain,
( ~ product(e_1,e_1,e_3)
| cycle(e_2,e_0)
| cycle(e_2,e_2)
| cycle(e_2,e_3)
| cycle(e_2,e_4)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_4)
| product(e_1,e_4,e_5) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_169,c_0_3287]),c_0_113]),c_0_81])]),c_0_181]),
[final] ).
cnf(c_0_4595,plain,
( ~ product(e_1,e_5,e_4)
| product(e_1,e_1,e_2)
| product(e_1,e_3,e_5)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_242,c_0_322]),c_0_312]),
[final] ).
cnf(c_0_4596,plain,
( ~ product(e_1,e_5,e_3)
| product(e_1,e_1,e_2)
| product(e_1,e_4,e_5)
| product(e_1,e_4,e_4)
| product(e_1,e_4,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_242,c_0_211]),c_0_304]),
[final] ).
cnf(c_0_4597,plain,
( ~ greater(e_1,e_1)
| cycle(e_1,e_2)
| cycle(e_2,e_4)
| cycle(e_2,e_3)
| cycle(e_2,e_2)
| cycle(e_2,e_0)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_3)
| product(e_1,e_1,e_4)
| product(e_1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_2795,c_0_91]),
[final] ).
cnf(c_0_4598,plain,
( ~ next(e_3,X1)
| ~ greater(e_0,X2)
| ~ cycle(X1,X2)
| cycle(e_3,e_4)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| cycle(e_2,e_2)
| cycle(e_2,e_3)
| cycle(e_2,e_4)
| cycle(e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_3288,c_0_2499]),c_0_3289]),
[final] ).
cnf(c_0_4599,plain,
( ~ product(e_5,e_1,e_5)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_3)
| product(e_1,e_1,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_427,c_0_909]),c_0_348]),
[final] ).
cnf(c_0_4600,plain,
( ~ product(e_1,e_5,e_5)
| product(e_1,e_2,e_4)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_1,e_3)
| product(e_1,e_1,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_242,c_0_3290]),c_0_511]),
[final] ).
cnf(c_0_4601,plain,
( ~ product(e_1,e_3,e_5)
| product(e_1,e_2,e_4)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_1,e_3)
| product(e_1,e_1,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_3290]),c_0_337]),
[final] ).
cnf(c_0_4602,plain,
( ~ product(e_1,e_4,e_5)
| product(e_1,e_2,e_4)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_1,e_3)
| product(e_1,e_1,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_3290]),c_0_342]),
[final] ).
cnf(c_0_4603,plain,
( ~ product(e_1,e_5,e_5)
| product(e_1,e_3,e_4)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_242,c_0_303]),c_0_312]),
[final] ).
cnf(c_0_4604,plain,
( ~ product(e_1,e_4,e_5)
| product(e_1,e_3,e_4)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_303]),c_0_278]),
[final] ).
cnf(c_0_4605,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_4)
| cycle(e_1,e_3)
| cycle(e_1,e_2)
| product(e_1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_3281,c_0_187]),
[final] ).
cnf(c_0_4606,plain,
( ~ greater(e_1,e_1)
| cycle(e_1,e_2)
| cycle(e_1,e_3)
| cycle(e_1,e_4)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_3)
| product(e_1,e_1,e_4)
| product(e_1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_192,c_0_91]),
[final] ).
cnf(c_0_4607,plain,
( ~ next(e_1,X2)
| ~ greater(X1,X3)
| ~ cycle(X2,X3)
| ~ cycle(e_0,X1)
| cycle(e_1,e_2)
| cycle(e_1,e_3)
| cycle(e_1,e_4)
| product(e_1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_3291,c_0_64]),
[final] ).
cnf(c_0_4608,plain,
( ~ next(e_5,X1)
| ~ greater(e_0,X2)
| ~ cycle(X1,X2)
| cycle(e_1,e_4)
| cycle(e_1,e_3)
| cycle(e_1,e_2)
| product(e_1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_2489,c_0_187]),
[final] ).
cnf(c_0_4609,plain,
( ~ greater(e_0,e_0)
| ~ product(e_1,e_1,e_3)
| cycle(e_1,e_4)
| cycle(e_1,e_3)
| cycle(e_1,e_2) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_169,c_0_187]),c_0_81])]),c_0_413]),
[final] ).
cnf(c_0_4610,plain,
( ~ next(e_1,X2)
| ~ greater(X1,X3)
| ~ cycle(X2,X3)
| ~ cycle(e_0,X1)
| cycle(e_1,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_3292,c_0_64]),
[final] ).
cnf(c_0_4611,negated_conjecture,
( ~ product(X1,e_1,e_1)
| product(e_1,X1,e_1)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_3)
| product(e_1,e_1,e_4)
| product(e_1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_105,c_0_91]),
[final] ).
cnf(c_0_4612,plain,
( ~ next(e_5,X1)
| ~ greater(e_0,X2)
| ~ cycle(X1,X2)
| cycle(e_2,e_2)
| cycle(e_2,e_3)
| cycle(e_2,e_4)
| cycle(e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2489,c_0_2499]),c_0_2374]),
[final] ).
cnf(c_0_4613,plain,
( ~ greater(e_0,e_0)
| ~ product(e_1,e_1,e_3)
| cycle(e_2,e_0)
| cycle(e_2,e_2)
| cycle(e_2,e_3)
| cycle(e_2,e_4)
| cycle(e_1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_169,c_0_2499]),c_0_81])]),
[final] ).
cnf(c_0_4614,plain,
( ~ next(e_1,e_4)
| cycle(e_1,e_2)
| cycle(e_1,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_2371,c_0_88]),c_0_3293]),
[final] ).
cnf(c_0_4615,plain,
( ~ next(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_2,e_0)
| cycle(e_1,e_3)
| cycle(e_1,e_2)
| cycle(e_1,e_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_3294,c_0_166]),c_0_2002]),
[final] ).
cnf(c_0_4616,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_3294,c_0_88]),c_0_2002]),
[final] ).
cnf(c_0_4617,plain,
( ~ next(e_4,e_1)
| cycle(e_4,e_2)
| cycle(e_4,e_0)
| cycle(e_1,e_3)
| cycle(e_1,e_2)
| cycle(e_1,e_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_3295,c_0_166]),c_0_3296]),
[final] ).
cnf(c_0_4618,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_3295,c_0_563]),c_0_3296]),
[final] ).
cnf(c_0_4619,plain,
( ~ next(e_5,e_2)
| ~ cycle(e_2,e_5)
| cycle(e_1,e_4)
| cycle(e_1,e_3)
| cycle(e_1,e_2)
| cycle(e_1,e_0) ),
inference(spm,[status(thm)],[c_0_3245,c_0_2789]),
[final] ).
cnf(c_0_4620,plain,
( ~ next(e_5,e_3)
| ~ cycle(e_3,e_5)
| cycle(e_1,e_4)
| cycle(e_1,e_3)
| cycle(e_1,e_2)
| cycle(e_1,e_0) ),
inference(spm,[status(thm)],[c_0_3245,c_0_2910]),
[final] ).
cnf(c_0_4621,plain,
( ~ next(e_5,e_4)
| ~ cycle(e_4,e_5)
| cycle(e_1,e_4)
| cycle(e_1,e_3)
| cycle(e_1,e_2)
| cycle(e_1,e_0) ),
inference(spm,[status(thm)],[c_0_3245,c_0_2787]),
[final] ).
cnf(c_0_4622,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) ),
inference(spm,[status(thm)],[c_0_3284,c_0_2499]),
[final] ).
cnf(c_0_4623,plain,
( ~ next(e_5,e_5)
| cycle(e_1,e_4)
| cycle(e_1,e_3)
| cycle(e_1,e_2)
| cycle(e_1,e_0) ),
inference(spm,[status(thm)],[c_0_3245,c_0_140]),
[final] ).
cnf(c_0_4624,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_3284,c_0_2909]),
[final] ).
cnf(c_0_4625,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_3284,c_0_2910]),
[final] ).
cnf(c_0_4626,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_3284,c_0_2787]),
[final] ).
cnf(c_0_4627,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_3284,c_0_140]),
[final] ).
cnf(c_0_4628,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_3281,c_0_2909]),
[final] ).
cnf(c_0_4629,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_3281,c_0_2789]),
[final] ).
cnf(c_0_4630,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_3281,c_0_2910]),
[final] ).
cnf(c_0_4631,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_3281,c_0_140]),
[final] ).
cnf(c_0_4632,plain,
( ~ next(e_1,e_1)
| cycle(e_1,e_2)
| cycle(e_1,e_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2371,c_0_166]),c_0_2286]),c_0_3293]),
[final] ).
cnf(c_0_4633,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_3294,c_0_563]),c_0_2029]),c_0_2002]),
[final] ).
cnf(c_0_4634,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_3295,c_0_88]),c_0_2892]),c_0_3296]),
[final] ).
cnf(c_0_4635,plain,
( ~ next(e_1,e_3)
| ~ product(e_1,e_1,e_2)
| 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(spm,[status(thm)],[c_0_567,c_0_166]),c_0_64])]),
[final] ).
cnf(c_0_4636,plain,
( ~ next(e_1,e_4)
| ~ product(e_1,e_1,e_2)
| 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(spm,[status(thm)],[c_0_2364,c_0_166]),c_0_64])]),
[final] ).
cnf(c_0_4637,plain,
( ~ next(e_1,e_5)
| ~ product(e_1,e_1,e_2)
| 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(spm,[status(thm)],[c_0_210,c_0_166]),c_0_64])]),
[final] ).
cnf(c_0_4638,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_93,c_0_2909]),
[final] ).
cnf(c_0_4639,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_93,c_0_2789]),
[final] ).
cnf(c_0_4640,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_93,c_0_2910]),
[final] ).
cnf(c_0_4641,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_93,c_0_2787]),
[final] ).
cnf(c_0_4642,plain,
( ~ next(e_5,X1)
| ~ greater(e_0,X2)
| ~ cycle(X1,X2)
| ~ cycle(e_1,e_5) ),
inference(spm,[status(thm)],[c_0_2489,c_0_2909]),
[final] ).
cnf(c_0_4643,plain,
( ~ next(e_5,X1)
| ~ greater(e_0,X2)
| ~ cycle(X1,X2)
| ~ cycle(e_2,e_5) ),
inference(spm,[status(thm)],[c_0_2374,c_0_2789]),
[final] ).
cnf(c_0_4644,plain,
( ~ next(e_5,X1)
| ~ greater(e_0,X2)
| ~ cycle(X1,X2)
| ~ cycle(e_3,e_5) ),
inference(spm,[status(thm)],[c_0_2479,c_0_2910]),
[final] ).
cnf(c_0_4645,plain,
( ~ next(e_5,X1)
| ~ greater(e_0,X2)
| ~ cycle(X1,X2)
| ~ cycle(e_4,e_5) ),
inference(spm,[status(thm)],[c_0_2497,c_0_2787]),
[final] ).
cnf(c_0_4646,plain,
( ~ next(e_5,X2)
| ~ greater(X1,X3)
| ~ cycle(X2,X3)
| ~ cycle(e_0,X1) ),
inference(spm,[status(thm)],[c_0_2288,c_0_3297]),
[final] ).
cnf(c_0_4647,plain,
( ~ next(e_5,e_2)
| ~ greater(e_0,e_0)
| ~ product(e_5,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_165,c_0_140]),
[final] ).
cnf(c_0_4648,plain,
( ~ next(e_5,e_3)
| ~ greater(e_0,e_0)
| ~ product(e_5,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_564,c_0_140]),
[final] ).
cnf(c_0_4649,plain,
( ~ next(e_5,e_4)
| ~ greater(e_0,e_0)
| ~ product(e_5,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_1109,c_0_140]),
[final] ).
cnf(c_0_4650,plain,
( ~ next(e_5,e_5)
| ~ greater(e_0,e_0)
| ~ product(e_5,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_207,c_0_140]),
[final] ).
cnf(c_0_4651,plain,
( ~ next(e_5,e_1)
| ~ greater(e_0,e_0)
| ~ product(e_5,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_2782,c_0_140]),
[final] ).
cnf(c_0_4652,plain,
( ~ next(e_5,e_3)
| ~ greater(e_0,e_0)
| ~ product(e_5,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_567,c_0_140]),
[final] ).
cnf(c_0_4653,plain,
( ~ next(e_5,e_4)
| ~ greater(e_0,e_0)
| ~ product(e_5,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_2364,c_0_140]),
[final] ).
cnf(c_0_4654,plain,
( ~ next(e_5,e_5)
| ~ greater(e_0,e_0)
| ~ product(e_5,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_210,c_0_140]),
[final] ).
cnf(c_0_4655,plain,
( ~ next(e_5,e_1)
| ~ greater(e_0,e_0)
| ~ product(e_5,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_2788,c_0_140]),
[final] ).
cnf(c_0_4656,plain,
( ~ greater(e_0,e_0)
| ~ cycle(e_1,e_5)
| ~ product(e_1,e_1,e_3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_169,c_0_2909]),c_0_81])]),
[final] ).
cnf(c_0_4657,plain,
( ~ next(e_5,e_2)
| ~ greater(e_0,e_0)
| ~ product(e_5,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_169,c_0_140]),
[final] ).
cnf(c_0_4658,plain,
( ~ next(e_5,e_4)
| ~ greater(e_0,e_0)
| ~ product(e_5,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_2367,c_0_140]),
[final] ).
cnf(c_0_4659,plain,
( ~ next(e_5,e_5)
| ~ greater(e_0,e_0)
| ~ product(e_5,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_209,c_0_140]),
[final] ).
cnf(c_0_4660,plain,
( ~ next(e_5,e_1)
| ~ greater(e_0,e_0)
| ~ product(e_5,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_2786,c_0_140]),
[final] ).
cnf(c_0_4661,plain,
( ~ next(e_5,e_2)
| ~ greater(e_0,e_0)
| ~ product(e_5,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_168,c_0_140]),
[final] ).
cnf(c_0_4662,plain,
( ~ next(e_5,e_3)
| ~ greater(e_0,e_0)
| ~ product(e_5,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_566,c_0_140]),
[final] ).
cnf(c_0_4663,plain,
( ~ next(e_5,e_5)
| ~ greater(e_0,e_0)
| ~ product(e_5,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_208,c_0_140]),
[final] ).
cnf(c_0_4664,plain,
( ~ next(e_5,e_1)
| ~ greater(e_0,e_0)
| ~ product(e_5,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_2784,c_0_140]),
[final] ).
cnf(c_0_4665,plain,
( ~ next(e_5,e_2)
| ~ greater(e_0,e_0)
| ~ product(e_5,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_167,c_0_140]),
[final] ).
cnf(c_0_4666,plain,
( ~ next(e_5,e_3)
| ~ greater(e_0,e_0)
| ~ product(e_5,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_565,c_0_140]),
[final] ).
cnf(c_0_4667,plain,
( ~ next(e_5,e_4)
| ~ greater(e_0,e_0)
| ~ product(e_5,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_190,c_0_140]),
[final] ).
cnf(c_0_4668,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_2491,c_0_63]),c_0_3297])]),
[final] ).
cnf(c_0_4669,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_159,c_0_63]),c_0_3297])]),
[final] ).
cnf(c_0_4670,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_556,c_0_63]),c_0_3297])]),
[final] ).
cnf(c_0_4671,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_183,c_0_63]),c_0_3297])]),
[final] ).
cnf(c_0_4672,plain,
( ~ greater(X1,e_1)
| ~ cycle(e_1,e_5)
| ~ product(e_1,e_1,X1) ),
inference(spm,[status(thm)],[c_0_173,c_0_2909]),
[final] ).
cnf(c_0_4673,plain,
( ~ greater(X1,e_2)
| ~ cycle(e_2,e_5)
| ~ product(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_173,c_0_2789]),
[final] ).
cnf(c_0_4674,plain,
( ~ greater(X1,e_3)
| ~ cycle(e_3,e_5)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_173,c_0_2910]),
[final] ).
cnf(c_0_4675,plain,
( ~ greater(X1,e_4)
| ~ cycle(e_4,e_5)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_173,c_0_2787]),
[final] ).
cnf(c_0_4676,plain,
( ~ greater(X1,e_5)
| ~ product(e_5,e_1,X1) ),
inference(spm,[status(thm)],[c_0_173,c_0_140]),
[final] ).
cnf(c_0_4677,plain,
( ~ cycle(X1,e_2)
| ~ cycle(X1,e_1) ),
inference(spm,[status(thm)],[c_0_201,c_0_2369]),
[final] ).
cnf(c_0_4678,plain,
( ~ cycle(X1,e_3)
| ~ cycle(X1,e_1) ),
inference(spm,[status(thm)],[c_0_83,c_0_2369]),
[final] ).
cnf(c_0_4679,plain,
( ~ cycle(X1,e_4)
| ~ cycle(X1,e_1) ),
inference(spm,[status(thm)],[c_0_170,c_0_2369]),
[final] ).
cnf(c_0_4680,plain,
( ~ cycle(X1,e_4)
| ~ cycle(X1,e_2) ),
inference(spm,[status(thm)],[c_0_69,c_0_2369]),
[final] ).
cnf(c_0_4681,plain,
( ~ cycle(X1,e_4)
| ~ cycle(X1,e_3) ),
inference(spm,[status(thm)],[c_0_133,c_0_2369]),
[final] ).
cnf(c_0_4682,negated_conjecture,
~ product(e_4,e_5,e_4),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1542,c_0_2404]),c_0_356]),c_0_260]),
[final] ).
cnf(c_0_4683,negated_conjecture,
~ product(e_4,e_4,e_1),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_3298,c_0_3299]),c_0_422]),c_0_260]),
[final] ).
cnf(c_0_4684,negated_conjecture,
~ product(e_2,e_1,e_1),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1980,c_0_3300]),c_0_181]),
[final] ).
cnf(c_0_4685,negated_conjecture,
~ product(e_5,e_4,e_1),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_2141]),c_0_333]),c_0_1111]),
[final] ).
cnf(c_0_4686,negated_conjecture,
~ product(e_5,e_4,e_4),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_1943]),c_0_1121]),
[final] ).
cnf(c_0_4687,plain,
~ product(e_3,e_2,e_1),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_393,c_0_3301]),c_0_3302]),
[final] ).
cnf(c_0_4688,plain,
~ product(e_3,e_3,e_1),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_393,c_0_3303]),c_0_3304]),
[final] ).
cnf(c_0_4689,plain,
~ product(e_2,e_2,e_1),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_278,c_0_3305]),c_0_3306]),
[final] ).
cnf(c_0_4690,negated_conjecture,
~ product(e_3,e_3,e_5),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_1430]),c_0_393]),
[final] ).
cnf(c_0_4691,negated_conjecture,
~ product(e_3,e_3,e_4),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_957]),c_0_393]),c_0_337]),
[final] ).
cnf(c_0_4692,negated_conjecture,
~ product(e_2,e_2,e_4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_433,c_0_3307]),c_0_1124])]),
[final] ).
cnf(c_0_4693,negated_conjecture,
~ product(e_4,e_1,e_1),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_207,c_0_762]),c_0_113]),c_0_138])]),c_0_1079]),
[final] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP129-3.005 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.36 % Computer : n003.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 20 20:02:30 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/0.42 Running first-order theorem proving
% 0.15/0.43 Running: /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p
% 147.42/22.02 % Version: 3.5.1
% 147.42/22.02 % Preprocessing class: FSMSSMSSSSSNFFN.
% 147.42/22.02 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 147.42/22.02 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 147.42/22.02 % Starting new_bool_3 with 300s (1) cores
% 147.42/22.02 % Starting new_bool_1 with 300s (1) cores
% 147.42/22.02 % Starting sh5l with 300s (1) cores
% 147.42/22.02 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 2453309 completed with status 1
% 147.42/22.02 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 147.42/22.02 % Preprocessing class: FSMSSMSSSSSNFFN.
% 147.42/22.02 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 147.42/22.02 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 147.42/22.02 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 147.42/22.02 % No SInE strategy applied
% 147.42/22.02 % Search class: FGHNF-FFMM00-SFFFFFNN
% 147.42/22.02 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 147.42/22.02 % Starting SubtermCWHack with 136s (1) cores
% 147.42/22.02 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 147.42/22.02 % Starting H----_011_C07_F1_PI_AE_OS_R8_SP_S1U with 136s (1) cores
% 147.42/22.02 % Starting G----_425_C05_02_F1_SE_CS_SP_PS_RG_S04AI with 136s (1) cores
% 147.42/22.02 % Starting G-E--_208_B07--C_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 147.42/22.02 % G----_425_C05_02_F1_SE_CS_SP_PS_RG_S04AI with pid 2453316 completed with status 1
% 147.42/22.02 % Result found by G----_425_C05_02_F1_SE_CS_SP_PS_RG_S04AI
% 147.42/22.02 % Preprocessing class: FSMSSMSSSSSNFFN.
% 147.42/22.02 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 147.42/22.02 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 147.42/22.02 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 147.42/22.02 % No SInE strategy applied
% 147.42/22.02 % Search class: FGHNF-FFMM00-SFFFFFNN
% 147.42/22.02 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 147.42/22.02 % Starting SubtermCWHack with 136s (1) cores
% 147.42/22.02 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 147.42/22.02 % Starting H----_011_C07_F1_PI_AE_OS_R8_SP_S1U with 136s (1) cores
% 147.42/22.02 % Starting G----_425_C05_02_F1_SE_CS_SP_PS_RG_S04AI with 136s (1) cores
% 147.42/22.02 % Preprocessing time : 0.002 s
% 147.42/22.02 % Presaturation interreduction done
% 147.42/22.02
% 147.42/22.02 % No proof found!
% 147.42/22.02 % SZS status Satisfiable
% 147.42/22.02 % SZS output start Saturation
% See solution above
% 147.42/22.04 % Parsed axioms : 57
% 147.42/22.04 % Removed by relevancy pruning/SinE : 0
% 147.42/22.04 % Initial clauses : 57
% 147.42/22.04 % Removed in clause preprocessing : 0
% 147.42/22.04 % Initial clauses in saturation : 57
% 147.42/22.04 % Processed clauses : 55056
% 147.42/22.04 % ...of these trivial : 65
% 147.42/22.04 % ...subsumed : 42190
% 147.42/22.04 % ...remaining for further processing : 12801
% 147.42/22.04 % Other redundant clauses eliminated : 0
% 147.42/22.04 % Clauses deleted for lack of memory : 0
% 147.42/22.04 % Backward-subsumed : 9031
% 147.42/22.04 % Backward-rewritten : 471
% 147.42/22.04 % Generated clauses : 121205
% 147.42/22.04 % ...of the previous two non-redundant : 114587
% 147.42/22.04 % ...aggressively subsumed : 0
% 147.42/22.04 % Contextual simplify-reflections : 3330
% 147.42/22.04 % Paramodulations : 120787
% 147.42/22.04 % Factorizations : 0
% 147.42/22.04 % NegExts : 0
% 147.42/22.04 % Equation resolutions : 0
% 147.42/22.04 % Disequality decompositions : 0
% 147.42/22.04 % Total rewrite steps : 9408
% 147.42/22.04 % ...of those cached : 9381
% 147.42/22.04 % Propositional unsat checks : 0
% 147.42/22.04 % Propositional check models : 0
% 147.42/22.04 % Propositional check unsatisfiable : 0
% 147.42/22.04 % Propositional clauses : 0
% 147.42/22.04 % Propositional clauses after purity: 0
% 147.42/22.04 % Propositional unsat core size : 0
% 147.42/22.04 % Propositional preprocessing time : 0.000
% 147.42/22.04 % Propositional encoding time : 0.000
% 147.42/22.04 % Propositional solver time : 0.000
% 147.42/22.04 % Success case prop preproc time : 0.000
% 147.42/22.04 % Success case prop encoding time : 0.000
% 147.42/22.04 % Success case prop solver time : 0.000
% 147.42/22.04 % Current number of processed clauses : 2824
% 147.42/22.04 % Positive orientable unit clauses : 32
% 147.42/22.04 % Positive unorientable unit clauses: 0
% 147.42/22.04 % Negative unit clauses : 83
% 147.42/22.04 % Non-unit-clauses : 2709
% 147.42/22.04 % Current number of unprocessed clauses: 0
% 147.42/22.04 % ...number of literals in the above : 0
% 147.42/22.04 % Current number of archived formulas : 0
% 147.42/22.04 % Current number of archived clauses : 9977
% 147.42/22.04 % Clause-clause subsumption calls (NU) : 11911815
% 147.42/22.04 % Rec. Clause-clause subsumption calls : 2829370
% 147.42/22.04 % Non-unit clause-clause subsumptions : 49144
% 147.42/22.04 % Unit Clause-clause subsumption calls : 92712
% 147.42/22.04 % Rewrite failures with RHS unbound : 0
% 147.42/22.04 % BW rewrite match attempts : 32
% 147.42/22.04 % BW rewrite match successes : 6
% 147.42/22.04 % Condensation attempts : 0
% 147.42/22.04 % Condensation successes : 0
% 147.42/22.04 % Termbank termtop insertions : 2234038
% 147.42/22.04 % Search garbage collected termcells : 114
% 147.42/22.04
% 147.42/22.04 % -------------------------------------------------
% 147.42/22.04 % User time : 21.025 s
% 147.42/22.04 % System time : 0.124 s
% 147.42/22.04 % Total time : 21.149 s
% 147.42/22.04 % Maximum resident set size: 4432 pages
% 147.42/22.04
% 147.42/22.04 % -------------------------------------------------
% 147.42/22.04 % User time : 103.002 s
% 147.42/22.04 % System time : 1.445 s
% 147.42/22.04 % Total time : 104.447 s
% 147.42/22.04 % Maximum resident set size: 5632 pages
% 147.42/22.04 % E exiting
%------------------------------------------------------------------------------