%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : GRP123-3.004 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:41:51 PM UTC 2026
% Result : Satisfiable 2.02s 0.70s
% Output : Saturation 2.02s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named c_0_47ERROR: Could not build tree for root c_0_55ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(c_0_45,plain,
( ~ group_element(X2)
| ~ group_element(X1)
| product(X1,X2,e_4)
| product(X1,X2,e_3)
| product(X1,X2,e_2)
| product(X1,X2,e_1) ),
c_0_44,
[final] ).
cnf(c_0_46,axiom,
group_element(e_1),
element_1,
[final] ).
cnf(c_0_48,plain,
( ~ group_element(X1)
| product(X1,e_1,e_4)
| product(X1,e_1,e_3)
| product(X1,e_1,e_2)
| product(X1,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_45,c_0_46]),
[final] ).
cnf(c_0_49,axiom,
group_element(e_2),
element_2,
[final] ).
cnf(c_0_51,plain,
( ~ greater(X2,X1)
| ~ product(X1,e_1,X2)
| ~ cycle(X1,e_0) ),
c_0_47,
[final] ).
cnf(c_0_52,plain,
( product(e_2,e_1,e_4)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_48,c_0_49]),
[final] ).
cnf(c_0_53,axiom,
greater(e_4,e_2),
e_4_greater_e_2,
[final] ).
cnf(c_0_54,plain,
( ~ group_element(X1)
| cycle(X1,e_3)
| cycle(X1,e_2)
| cycle(X1,e_1)
| cycle(X1,e_0) ),
c_0_50,
[final] ).
cnf(c_0_55,plain,
( ~ cycle(e_2,e_0)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_53])]),
[final] ).
cnf(c_0_59,axiom,
greater(e_3,e_2),
e_3_greater_e_2,
[final] ).
cnf(c_0_61,plain,
( ~ product(X1,X4,X3)
| ~ product(X1,X2,X3)
| equalish(X2,X4) ),
c_0_57,
[final] ).
cnf(c_0_62,axiom,
product(X1,X1,X1),
product_idempotence,
[final] ).
cnf(c_0_66,plain,
( ~ product(X4,X2,X3)
| ~ product(X1,X2,X3)
| equalish(X1,X4) ),
c_0_60,
[final] ).
cnf(c_0_67,plain,
( ~ product(X2,X1,X2)
| equalish(X1,X2) ),
inference(spm,[status(thm)],[c_0_61,c_0_62]),
[final] ).
cnf(c_0_69,plain,
~ equalish(e_1,e_2),
c_0_64,
[final] ).
cnf(c_0_71,plain,
( ~ next(X4,X5)
| ~ greater(X2,e_0)
| ~ next(X1,X3)
| ~ cycle(X3,X4)
| ~ cycle(X1,X2)
| equalish(X2,X5) ),
c_0_65,
[final] ).
cnf(c_0_72,axiom,
greater(e_3,e_0),
e_3_greater_e_0,
[final] ).
cnf(c_0_73,plain,
( ~ product(X1,X2,X2)
| equalish(X1,X2) ),
inference(spm,[status(thm)],[c_0_66,c_0_62]),
[final] ).
cnf(c_0_75,plain,
~ equalish(e_2,e_1),
c_0_70,
[final] ).
cnf(c_0_76,plain,
( ~ next(X2,X3)
| ~ next(X4,X1)
| ~ cycle(X3,X4)
| ~ cycle(X2,e_3)
| equalish(e_3,X1) ),
inference(spm,[status(thm)],[c_0_71,c_0_72]),
[final] ).
cnf(c_0_79,axiom,
next(e_2,e_3),
e_2_then_e_3,
[final] ).
cnf(c_0_80,axiom,
group_element(e_3),
element_3,
[final] ).
cnf(c_0_82,plain,
( cycle(e_3,e_3)
| cycle(e_3,e_2)
| cycle(e_3,e_1)
| cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_54,c_0_80]),
[final] ).
cnf(c_0_85,axiom,
next(e_0,e_1),
e_0_then_e_1,
[final] ).
cnf(c_0_86,plain,
~ equalish(e_3,e_1),
c_0_83,
[final] ).
cnf(c_0_89,axiom,
greater(e_2,e_0),
e_2_greater_e_0,
[final] ).
cnf(c_0_91,axiom,
next(e_3,e_4),
e_3_then_e_4,
[final] ).
cnf(c_0_92,plain,
~ equalish(e_3,e_4),
c_0_88,
[final] ).
cnf(c_0_93,plain,
( ~ next(X2,X3)
| ~ next(X4,X1)
| ~ cycle(X3,X4)
| ~ cycle(X2,e_2)
| equalish(e_2,X1) ),
inference(spm,[status(thm)],[c_0_71,c_0_89]),
[final] ).
cnf(c_0_96,axiom,
group_element(e_4),
element_4,
[final] ).
cnf(c_0_98,axiom,
cycle(e_4,e_0),
cycle3,
[final] ).
cnf(c_0_101,plain,
( ~ group_element(X1)
| product(X1,e_4,e_4)
| product(X1,e_4,e_3)
| product(X1,e_4,e_2)
| product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_45,c_0_96]),
[final] ).
cnf(c_0_104,plain,
( ~ greater(X2,X5)
| ~ greater(X3,X1)
| ~ next(X3,X4)
| ~ cycle(X4,X5)
| ~ cycle(X3,e_0)
| ~ cycle(X1,X2) ),
c_0_99,
[final] ).
cnf(c_0_105,plain,
( ~ group_element(X1)
| product(X1,e_3,e_4)
| product(X1,e_3,e_3)
| product(X1,e_3,e_2)
| product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_45,c_0_80]),
[final] ).
cnf(c_0_106,plain,
( ~ group_element(X1)
| product(X1,e_2,e_4)
| product(X1,e_2,e_3)
| product(X1,e_2,e_2)
| product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_45,c_0_49]),
[final] ).
cnf(c_0_107,negated_conjecture,
( ~ product(X6,X5,X4)
| ~ product(X6,X2,X1)
| ~ product(X4,X5,X3)
| ~ product(X1,X2,X3)
| equalish(X2,X5) ),
c_0_100,
[final] ).
cnf(c_0_109,plain,
~ equalish(e_2,e_4),
c_0_102,
[final] ).
cnf(c_0_113,plain,
( ~ next(e_3,X1)
| ~ greater(X4,X2)
| ~ greater(e_3,X3)
| ~ cycle(X3,X4)
| ~ cycle(X1,X2)
| cycle(e_3,e_3)
| cycle(e_3,e_2)
| cycle(e_3,e_1) ),
inference(spm,[status(thm)],[c_0_104,c_0_82]),
[final] ).
cnf(c_0_117,negated_conjecture,
( ~ product(X3,X1,X4)
| ~ product(X2,X2,X4)
| ~ product(X2,X1,X3)
| equalish(X1,X2) ),
inference(spm,[status(thm)],[c_0_107,c_0_62]),
[final] ).
cnf(c_0_118,plain,
( product(e_2,e_4,e_3)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_108]),c_0_109]),
[final] ).
cnf(c_0_119,plain,
~ equalish(e_4,e_2),
c_0_110,
[final] ).
cnf(c_0_121,plain,
( product(e_3,e_2,e_4)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_106,c_0_80]),
[final] ).
cnf(c_0_123,axiom,
next(e_1,e_2),
e_1_then_e_2,
[final] ).
cnf(c_0_124,plain,
~ equalish(e_3,e_2),
c_0_112,
[final] ).
cnf(c_0_125,plain,
( ~ next(e_3,X2)
| ~ greater(X1,X3)
| ~ cycle(X2,X3)
| ~ cycle(e_2,X1)
| cycle(e_3,e_3)
| cycle(e_3,e_2)
| cycle(e_3,e_1) ),
inference(spm,[status(thm)],[c_0_113,c_0_59]),
[final] ).
cnf(c_0_127,plain,
~ equalish(e_4,e_3),
c_0_115,
[final] ).
cnf(c_0_128,plain,
( product(e_4,e_2,e_3)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_116]),c_0_109]),
[final] ).
cnf(c_0_129,negated_conjecture,
( ~ product(e_3,e_4,X1)
| ~ product(e_2,e_2,X1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_118]),c_0_119]),
[final] ).
cnf(c_0_131,plain,
( ~ product(e_3,X1,e_4)
| equalish(X1,e_2)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_61,c_0_121]),
[final] ).
cnf(c_0_132,plain,
( product(e_3,e_1,e_4)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_48,c_0_80]),
[final] ).
cnf(c_0_134,plain,
( cycle(e_2,e_2)
| cycle(e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_123]),c_0_124]),
[final] ).
cnf(c_0_135,plain,
( ~ greater(X1,X2)
| ~ cycle(e_4,X2)
| ~ cycle(e_2,X1)
| cycle(e_3,e_3)
| cycle(e_3,e_2)
| cycle(e_3,e_1) ),
inference(spm,[status(thm)],[c_0_125,c_0_91]),
[final] ).
cnf(c_0_136,plain,
( product(e_4,e_3,e_2)
| product(e_4,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_126]),c_0_127]),
[final] ).
cnf(c_0_137,negated_conjecture,
( ~ product(e_3,e_2,X1)
| ~ product(e_4,e_4,X1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_128]),c_0_109]),
[final] ).
cnf(c_0_138,negated_conjecture,
( ~ product(e_3,e_4,e_2)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_129,c_0_62]),
[final] ).
cnf(c_0_139,plain,
( product(e_3,e_4,e_2)
| product(e_3,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_130]),c_0_127]),
[final] ).
cnf(c_0_141,plain,
~ equalish(e_2,e_3),
c_0_133,
[final] ).
cnf(c_0_142,plain,
( ~ next(X3,X1)
| ~ next(e_2,X2)
| ~ cycle(X2,X3)
| cycle(e_2,e_1)
| equalish(e_2,X1) ),
inference(spm,[status(thm)],[c_0_93,c_0_134]),
[final] ).
cnf(c_0_144,negated_conjecture,
( ~ product(e_2,e_3,X1)
| ~ product(e_4,e_4,X1)
| product(e_4,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_136]),c_0_92]),
[final] ).
cnf(c_0_145,negated_conjecture,
( ~ product(e_3,e_2,e_4)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_137,c_0_62]),
[final] ).
cnf(c_0_146,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_138,c_0_139]),
[final] ).
cnf(c_0_148,plain,
( ~ next(X2,X1)
| ~ cycle(e_3,X2)
| cycle(e_2,e_1)
| equalish(e_2,X1) ),
inference(spm,[status(thm)],[c_0_142,c_0_79]),
[final] ).
cnf(c_0_150,axiom,
greater(e_4,e_3),
e_4_greater_e_3,
[final] ).
cnf(c_0_151,negated_conjecture,
( ~ product(e_2,e_3,e_4)
| product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_144,c_0_62]),
[final] ).
cnf(c_0_153,negated_conjecture,
( ~ product(e_3,X1,e_1)
| equalish(X1,e_4)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_61,c_0_146]),
[final] ).
cnf(c_0_154,plain,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1)
| product(e_3,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_147]),c_0_124]),
[final] ).
cnf(c_0_157,plain,
( ~ cycle(e_3,e_0)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_132]),c_0_150])]),
[final] ).
cnf(c_0_158,negated_conjecture,
( ~ product(e_4,X1,e_1)
| ~ product(e_2,e_3,e_4)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_61,c_0_151]),
[final] ).
cnf(c_0_159,negated_conjecture,
( product(e_3,e_2,e_3)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_1)
| product(e_4,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_152]),c_0_119]),
[final] ).
cnf(c_0_162,plain,
~ equalish(e_1,e_3),
c_0_155,
[final] ).
cnf(c_0_166,negated_conjecture,
( ~ product(e_2,e_3,e_4)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_159]),c_0_141]),
[final] ).
cnf(c_0_167,plain,
( product(e_2,e_3,e_4)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_105,c_0_49]),
[final] ).
cnf(c_0_168,plain,
( ~ next(X1,X4)
| ~ greater(X2,e_0)
| ~ product(X1,e_1,X3)
| ~ cycle(X1,X2)
| equalish(X3,X4) ),
c_0_160,
[final] ).
cnf(c_0_169,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_161]),c_0_162]),
[final] ).
cnf(c_0_172,plain,
( ~ product(X1,e_2,e_4)
| equalish(X1,e_3)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_66,c_0_121]),
[final] ).
cnf(c_0_173,plain,
( 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_2,e_1) ),
inference(spm,[status(thm)],[c_0_106,c_0_46]),
[final] ).
cnf(c_0_174,plain,
( ~ product(e_3,X1,e_2)
| equalish(X1,e_4)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_61,c_0_139]),
[final] ).
cnf(c_0_175,plain,
( cycle(e_3,e_3)
| cycle(e_3,e_2)
| cycle(e_3,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_164]),c_0_162]),
[final] ).
cnf(c_0_176,plain,
~ equalish(e_1,e_4),
c_0_165,
[final] ).
cnf(c_0_178,negated_conjecture,
( ~ next(e_3,X1)
| ~ greater(X2,e_0)
| ~ cycle(e_3,X2)
| equalish(e_2,X1)
| product(e_3,e_1,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_168,c_0_169]),
[final] ).
cnf(c_0_179,plain,
( cycle(e_3,e_1)
| cycle(e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_79]),c_0_141]),
[final] ).
cnf(c_0_180,axiom,
greater(e_1,e_0),
e_1_greater_e_0,
[final] ).
cnf(c_0_181,plain,
( ~ product(X1,e_3,e_4)
| equalish(X1,e_2)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_66,c_0_167]),
[final] ).
cnf(c_0_182,plain,
( 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_3,e_1) ),
inference(spm,[status(thm)],[c_0_105,c_0_46]),
[final] ).
cnf(c_0_183,plain,
( ~ next(e_2,X1)
| ~ greater(X2,e_0)
| ~ cycle(e_2,X2)
| equalish(e_4,X1)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_168,c_0_52]),
[final] ).
cnf(c_0_185,negated_conjecture,
( ~ product(X6,X5,X4)
| ~ product(X6,X2,X1)
| ~ product(X4,X5,X3)
| ~ product(X1,X2,X3)
| equalish(X1,X4) ),
c_0_171,
[final] ).
cnf(c_0_187,plain,
( cycle(e_3,e_3)
| cycle(e_3,e_2)
| cycle(e_3,e_1)
| product(e_3,e_1,e_1)
| product(e_3,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_175]),c_0_176]),
[final] ).
cnf(c_0_193,plain,
( ~ product(X1,e_4,e_3)
| equalish(X1,e_2)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_66,c_0_118]),
[final] ).
cnf(c_0_194,plain,
( product(e_1,e_4,e_3)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_184]),c_0_176]),
[final] ).
cnf(c_0_195,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_3,X3,X1)
| ~ product(e_4,e_2,X2)
| equalish(X1,e_4)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_185,c_0_121]),
[final] ).
cnf(c_0_197,plain,
( ~ product(e_3,X1,e_1)
| cycle(e_3,e_3)
| cycle(e_3,e_2)
| cycle(e_3,e_1)
| equalish(X1,e_4)
| product(e_3,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_61,c_0_187]),
[final] ).
cnf(c_0_198,negated_conjecture,
( product(e_2,e_3,e_3)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_1)
| product(e_3,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_188]),c_0_124]),
[final] ).
cnf(c_0_200,plain,
( product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_190]),c_0_176]),
[final] ).
cnf(c_0_202,plain,
( ~ product(e_2,X1,e_3)
| equalish(X1,e_4)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_61,c_0_118]),
[final] ).
cnf(c_0_203,plain,
( cycle(e_2,e_1)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_79]),c_0_127]),
[final] ).
cnf(c_0_205,negated_conjecture,
( ~ product(X1,X2,e_1)
| ~ product(e_3,X2,X1)
| equalish(X1,e_4)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_195,c_0_159]),
[final] ).
cnf(c_0_206,plain,
( product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1)
| product(e_3,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_196]),c_0_124]),
[final] ).
cnf(c_0_208,plain,
( ~ product(e_4,X1,e_3)
| equalish(X1,e_2)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_61,c_0_128]),
[final] ).
cnf(c_0_210,negated_conjecture,
( ~ product(e_3,e_1,X1)
| ~ product(e_4,e_4,X1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_200]),c_0_176]),
[final] ).
cnf(c_0_211,plain,
( product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_1)
| product(e_2,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_201]),c_0_124]),
[final] ).
cnf(c_0_213,plain,
( ~ product(e_2,X1,e_4)
| equalish(X1,e_3)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_61,c_0_167]),
[final] ).
cnf(c_0_214,plain,
( product(e_1,e_4,e_2)
| product(e_1,e_4,e_1)
| product(e_2,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_204]),c_0_119]),
[final] ).
cnf(c_0_215,negated_conjecture,
( ~ product(e_2,e_4,e_1)
| product(e_3,e_4,e_1)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_205,c_0_139]),c_0_109]),
[final] ).
cnf(c_0_219,negated_conjecture,
( cycle(e_2,e_1)
| product(e_2,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_209]),c_0_119]),
[final] ).
cnf(c_0_220,negated_conjecture,
( ~ product(e_3,e_1,e_4)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_210,c_0_62]),
[final] ).
cnf(c_0_221,plain,
( ~ product(e_2,X1,e_1)
| equalish(X1,e_3)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_61,c_0_211]),
[final] ).
cnf(c_0_224,plain,
( ~ product(X1,e_4,e_1)
| equalish(X1,e_2)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_66,c_0_214]),
[final] ).
cnf(c_0_226,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1)
| product(e_2,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_216]),c_0_119]),
[final] ).
cnf(c_0_228,plain,
( product(e_4,e_1,e_2)
| product(e_4,e_1,e_1)
| product(e_4,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_218]),c_0_119]),
[final] ).
cnf(c_0_229,negated_conjecture,
( ~ product(X1,e_4,e_1)
| cycle(e_2,e_1)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_66,c_0_219]),
[final] ).
cnf(c_0_231,negated_conjecture,
( ~ product(e_4,e_3,X1)
| ~ product(e_1,e_1,X1)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_182]),c_0_86]),
[final] ).
cnf(c_0_232,plain,
( ~ product(e_4,X1,e_2)
| equalish(X1,e_3)
| product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_61,c_0_136]),
[final] ).
cnf(c_0_233,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_220,c_0_132]),
[final] ).
cnf(c_0_237,negated_conjecture,
( ~ product(e_2,X1,e_1)
| equalish(X1,e_4)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_61,c_0_226]),
[final] ).
cnf(c_0_238,negated_conjecture,
( cycle(e_3,e_3)
| cycle(e_3,e_2)
| cycle(e_3,e_1)
| product(e_2,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_227]),c_0_124]),
[final] ).
cnf(c_0_239,plain,
( ~ product(e_1,X1,e_4)
| equalish(X1,e_3)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_61,c_0_182]),
[final] ).
cnf(c_0_240,negated_conjecture,
( ~ product(e_1,e_2,X1)
| ~ product(e_4,e_4,X1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_228]),c_0_109]),
[final] ).
cnf(c_0_242,negated_conjecture,
( ~ product(e_4,e_3,e_1)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_231,c_0_62]),
[final] ).
cnf(c_0_243,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1)
| product(e_4,e_1,e_1)
| product(e_4,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_232,c_0_233]),c_0_162]),
[final] ).
cnf(c_0_246,plain,
( product(e_2,e_1,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| product(e_2,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_235]),c_0_124]),
[final] ).
cnf(c_0_247,plain,
( ~ product(X1,e_1,e_4)
| equalish(X1,e_3)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_66,c_0_132]),
[final] ).
cnf(c_0_248,plain,
( ~ product(e_2,X1,e_1)
| equalish(X1,e_4)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_61,c_0_214]),
[final] ).
cnf(c_0_250,plain,
( ~ product(X1,e_2,e_3)
| equalish(X1,e_4)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_66,c_0_128]),
[final] ).
cnf(c_0_251,negated_conjecture,
( cycle(e_3,e_3)
| cycle(e_3,e_2)
| cycle(e_3,e_1)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_237,c_0_238]),c_0_92]),
[final] ).
cnf(c_0_254,negated_conjecture,
( ~ product(e_1,e_2,e_4)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_240,c_0_62]),
[final] ).
cnf(c_0_257,plain,
~ equalish(e_4,e_1),
c_0_244,
[final] ).
cnf(c_0_259,plain,
( ~ product(e_2,X1,e_1)
| equalish(X1,e_3)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_61,c_0_246]),
[final] ).
cnf(c_0_260,negated_conjecture,
( ~ product(e_4,e_3,X1)
| ~ product(e_2,e_2,X1)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_167]),c_0_124]),
[final] ).
cnf(c_0_262,plain,
( ~ product(X1,e_4,e_2)
| equalish(X1,e_3)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_66,c_0_139]),
[final] ).
cnf(c_0_263,plain,
( product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_248,c_0_211]),c_0_92]),
[final] ).
cnf(c_0_264,plain,
( ~ product(X1,e_2,e_1)
| equalish(X1,e_4)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_66,c_0_228]),
[final] ).
cnf(c_0_265,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_249]),c_0_124]),
[final] ).
cnf(c_0_267,plain,
( ~ product(X1,e_3,e_2)
| equalish(X1,e_4)
| product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_66,c_0_136]),
[final] ).
cnf(c_0_268,plain,
( product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_252]),c_0_162]),
[final] ).
cnf(c_0_269,plain,
( cycle(e_3,e_3)
| cycle(e_3,e_2)
| cycle(e_3,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_253]),c_0_86]),
[final] ).
cnf(c_0_270,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_254,c_0_173]),
[final] ).
cnf(c_0_271,negated_conjecture,
( cycle(e_2,e_1)
| product(e_3,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_255]),c_0_124]),
[final] ).
cnf(c_0_273,plain,
( cycle(e_2,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_258]),c_0_162]),
[final] ).
cnf(c_0_274,negated_conjecture,
( ~ product(e_2,e_4,X1)
| ~ product(e_3,e_3,X1)
| product(e_3,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_139]),c_0_127]),
[final] ).
cnf(c_0_275,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_259,c_0_226]),c_0_127]),
[final] ).
cnf(c_0_276,plain,
( product(e_2,e_1,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_248,c_0_246]),c_0_92]),
[final] ).
cnf(c_0_277,negated_conjecture,
( ~ product(e_4,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_260,c_0_62]),
[final] ).
cnf(c_0_278,plain,
( product(e_2,e_1,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_261]),c_0_162]),
[final] ).
cnf(c_0_279,plain,
( product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_1)
| product(e_1,e_4,e_1)
| product(e_3,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_262,c_0_263]),c_0_162]),
[final] ).
cnf(c_0_280,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_1,e_4,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_264,c_0_265]),c_0_92]),
[final] ).
cnf(c_0_282,negated_conjecture,
( cycle(e_3,e_3)
| cycle(e_3,e_2)
| cycle(e_3,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1)
| product(e_4,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_266]),c_0_119]),
[final] ).
cnf(c_0_283,plain,
( product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1)
| product(e_1,e_3,e_1)
| product(e_4,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_267,c_0_268]),c_0_176]),
[final] ).
cnf(c_0_284,plain,
( cycle(e_3,e_3)
| cycle(e_3,e_2)
| cycle(e_3,e_1)
| product(e_1,e_4,e_1)
| product(e_3,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_262,c_0_269]),c_0_162]),
[final] ).
cnf(c_0_285,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1)
| product(e_4,e_1,e_1)
| product(e_4,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_232,c_0_270]),c_0_162]),
[final] ).
cnf(c_0_286,negated_conjecture,
( cycle(e_2,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_264,c_0_271]),c_0_92]),
[final] ).
cnf(c_0_287,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_1)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_272]),c_0_162]),
[final] ).
cnf(c_0_288,negated_conjecture,
( ~ product(e_2,e_3,e_4)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_228]),c_0_141]),
[final] ).
cnf(c_0_289,axiom,
greater(e_3,e_1),
e_3_greater_e_1,
[final] ).
cnf(c_0_290,plain,
( cycle(e_2,e_1)
| product(e_1,e_3,e_1)
| product(e_4,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_267,c_0_273]),c_0_176]),
[final] ).
cnf(c_0_291,plain,
( ~ next(X2,X3)
| ~ next(X4,X1)
| ~ cycle(X3,X4)
| ~ cycle(X2,e_1)
| equalish(e_1,X1) ),
inference(spm,[status(thm)],[c_0_71,c_0_180]),
[final] ).
cnf(c_0_292,plain,
( ~ next(e_4,X1)
| ~ greater(X4,X2)
| ~ greater(e_4,X3)
| ~ cycle(X3,X4)
| ~ cycle(X1,X2) ),
inference(spm,[status(thm)],[c_0_104,c_0_98]),
[final] ).
cnf(c_0_293,plain,
( cycle(e_1,e_3)
| cycle(e_1,e_2)
| cycle(e_1,e_1)
| cycle(e_1,e_0) ),
inference(spm,[status(thm)],[c_0_54,c_0_46]),
[final] ).
cnf(c_0_294,negated_conjecture,
( ~ product(e_2,e_4,e_3)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_274,c_0_62]),
[final] ).
cnf(c_0_296,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_2,X3,X1)
| ~ product(e_3,e_1,X2)
| equalish(X1,e_3)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_185,c_0_275]),
[final] ).
cnf(c_0_297,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_1,X3,X1)
| ~ product(e_3,e_2,X2)
| cycle(e_3,e_3)
| cycle(e_3,e_2)
| cycle(e_3,e_1)
| equalish(X1,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_185,c_0_251]),
[final] ).
cnf(c_0_298,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_2,X3,X1)
| ~ product(e_3,e_1,X2)
| equalish(X1,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_185,c_0_276]),
[final] ).
cnf(c_0_299,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_1,X3,X1)
| ~ product(e_2,e_3,X2)
| equalish(X1,e_2)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1)
| product(e_1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_185,c_0_268]),
[final] ).
cnf(c_0_300,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_2,X3,X1)
| ~ product(e_3,e_1,X2)
| cycle(e_2,e_1)
| equalish(X1,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_185,c_0_203]),
[final] ).
cnf(c_0_301,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_1,X3,X1)
| ~ product(e_4,e_3,X2)
| equalish(X1,e_4)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_185,c_0_182]),
[final] ).
cnf(c_0_302,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_4,X3,X1)
| ~ product(e_2,e_1,X2)
| equalish(X1,e_2)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1)
| product(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_185,c_0_270]),
[final] ).
cnf(c_0_303,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_1,X3,X1)
| ~ product(e_2,e_4,X2)
| cycle(e_3,e_3)
| cycle(e_3,e_2)
| cycle(e_3,e_1)
| equalish(X1,e_2)
| product(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_185,c_0_269]),
[final] ).
cnf(c_0_304,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_2,X3,X1)
| ~ product(e_4,e_3,X2)
| equalish(X1,e_4)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_185,c_0_167]),
[final] ).
cnf(c_0_305,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_277,c_0_136]),
[final] ).
cnf(c_0_306,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_4,X3,X1)
| ~ product(e_3,e_1,X2)
| equalish(X1,e_3)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_185,c_0_200]),
[final] ).
cnf(c_0_307,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_3,X3,X1)
| ~ product(e_2,e_1,X2)
| equalish(X1,e_2)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| product(e_3,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_185,c_0_278]),
[final] ).
cnf(c_0_308,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_3,X3,X1)
| ~ product(e_1,e_4,X2)
| equalish(X1,e_1)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_1)
| product(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_185,c_0_279]),
[final] ).
cnf(c_0_309,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_4,X3,X1)
| ~ product(e_2,e_1,X2)
| equalish(X1,e_2)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_1)
| product(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_185,c_0_280]),
[final] ).
cnf(c_0_310,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_1,X3,X1)
| ~ product(e_2,e_4,X2)
| equalish(X1,e_2)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_1)
| product(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_185,c_0_263]),
[final] ).
cnf(c_0_311,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_2,X3,X1)
| ~ product(e_4,e_1,X2)
| equalish(X1,e_4)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_185,c_0_52]),
[final] ).
cnf(c_0_312,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_1,X3,X1)
| ~ product(e_4,e_2,X2)
| equalish(X1,e_4)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_185,c_0_173]),
[final] ).
cnf(c_0_313,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_3,X3,X1)
| ~ product(e_2,e_4,X2)
| equalish(X1,e_2)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_185,c_0_139]),
[final] ).
cnf(c_0_314,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_4,X3,X1)
| ~ product(e_2,e_3,X2)
| equalish(X1,e_2)
| product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_185,c_0_136]),
[final] ).
cnf(c_0_315,negated_conjecture,
( product(e_2,e_3,e_3)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_1)
| product(e_2,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_281]),c_0_119]),
[final] ).
cnf(c_0_316,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_1,X3,X1)
| ~ product(e_3,e_4,X2)
| equalish(X1,e_3)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_185,c_0_194]),
[final] ).
cnf(c_0_317,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_1,X3,X1)
| ~ product(e_2,e_3,X2)
| cycle(e_2,e_1)
| equalish(X1,e_2)
| product(e_1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_185,c_0_273]),
[final] ).
cnf(c_0_318,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_4,X3,X1)
| ~ product(e_1,e_2,X2)
| cycle(e_3,e_3)
| cycle(e_3,e_2)
| cycle(e_3,e_1)
| equalish(X1,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_185,c_0_282]),
[final] ).
cnf(c_0_319,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_4,X3,X1)
| ~ product(e_3,e_2,X2)
| equalish(X1,e_3)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_185,c_0_128]),
[final] ).
cnf(c_0_320,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_4,X3,X1)
| ~ product(e_1,e_3,X2)
| equalish(X1,e_1)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1)
| product(e_1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_185,c_0_283]),
[final] ).
cnf(c_0_321,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_3,X3,X1)
| ~ product(e_1,e_4,X2)
| cycle(e_3,e_3)
| cycle(e_3,e_2)
| cycle(e_3,e_1)
| equalish(X1,e_1)
| product(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_185,c_0_284]),
[final] ).
cnf(c_0_322,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_4,X3,X1)
| ~ product(e_1,e_3,X2)
| equalish(X1,e_1)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1)
| product(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_185,c_0_285]),
[final] ).
cnf(c_0_323,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_3,X3,X1)
| ~ product(e_1,e_2,X2)
| equalish(X1,e_1)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_185,c_0_206]),
[final] ).
cnf(c_0_324,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_2,X3,X1)
| ~ product(e_1,e_3,X2)
| equalish(X1,e_1)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_185,c_0_211]),
[final] ).
cnf(c_0_325,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_4,X3,X1)
| ~ product(e_2,e_1,X2)
| cycle(e_2,e_1)
| equalish(X1,e_2)
| product(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_185,c_0_286]),
[final] ).
cnf(c_0_326,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_1)
| product(e_3,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_287]),c_0_176]),
[final] ).
cnf(c_0_327,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_3,X3,X1)
| ~ product(e_4,e_1,X2)
| equalish(X1,e_4)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_185,c_0_132]),
[final] ).
cnf(c_0_328,plain,
( product(e_2,e_1,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| product(e_3,e_1,e_1)
| product(e_3,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_278]),c_0_176]),
[final] ).
cnf(c_0_329,negated_conjecture,
( product(e_2,e_3,e_3)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_288,c_0_167]),
[final] ).
cnf(c_0_330,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_2,X3,X1)
| ~ product(e_1,e_4,X2)
| equalish(X1,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_185,c_0_214]),
[final] ).
cnf(c_0_331,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_2,X3,X1)
| ~ product(e_3,e_4,X2)
| equalish(X1,e_3)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_185,c_0_118]),
[final] ).
cnf(c_0_332,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_1,e_4,e_1)
| product(e_4,e_1,e_1)
| product(e_4,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_232,c_0_280]),c_0_162]),
[final] ).
cnf(c_0_333,plain,
( ~ next(e_3,X2)
| ~ greater(X1,X3)
| ~ cycle(X2,X3)
| ~ cycle(e_1,X1)
| cycle(e_3,e_3)
| cycle(e_3,e_2)
| cycle(e_3,e_1) ),
inference(spm,[status(thm)],[c_0_113,c_0_289]),
[final] ).
cnf(c_0_334,negated_conjecture,
( cycle(e_2,e_1)
| product(e_4,e_1,e_1)
| product(e_4,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_232,c_0_286]),c_0_162]),
[final] ).
cnf(c_0_335,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_4,X3,X1)
| ~ product(e_1,e_3,X2)
| cycle(e_2,e_1)
| equalish(X1,e_1)
| product(e_1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_185,c_0_290]),
[final] ).
cnf(c_0_336,plain,
( ~ product(e_4,X1,e_1)
| equalish(X1,e_2)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_61,c_0_228]),
[final] ).
cnf(c_0_338,negated_conjecture,
( ~ product(e_1,e_3,X1)
| ~ product(e_4,e_4,X1)
| ~ product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_151]),c_0_92]),
[final] ).
cnf(c_0_339,plain,
( ~ next(X3,X1)
| ~ next(e_3,X2)
| ~ cycle(X2,X3)
| cycle(e_2,e_1)
| equalish(e_1,X1) ),
inference(spm,[status(thm)],[c_0_291,c_0_179]),
[final] ).
cnf(c_0_341,plain,
( ~ next(e_4,X2)
| ~ greater(X1,X3)
| ~ cycle(X2,X3)
| ~ cycle(e_2,X1) ),
inference(spm,[status(thm)],[c_0_292,c_0_53]),
[final] ).
cnf(c_0_342,plain,
( ~ next(e_1,X1)
| ~ greater(X4,X2)
| ~ greater(e_1,X3)
| ~ cycle(X3,X4)
| ~ cycle(X1,X2)
| cycle(e_1,e_3)
| cycle(e_1,e_2)
| cycle(e_1,e_1) ),
inference(spm,[status(thm)],[c_0_104,c_0_293]),
[final] ).
cnf(c_0_343,negated_conjecture,
( ~ product(e_1,e_4,X1)
| ~ product(e_3,e_3,X1)
| ~ product(e_2,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_294]),c_0_127]),
[final] ).
cnf(c_0_344,axiom,
greater(e_4,e_1),
e_4_greater_e_1,
[final] ).
cnf(c_0_345,plain,
( ~ product(X1,X2,X4)
| ~ product(X1,X2,X3)
| equalish(X3,X4) ),
c_0_295,
[final] ).
cnf(c_0_346,negated_conjecture,
( ~ product(X1,X2,e_4)
| ~ product(e_2,X2,X1)
| equalish(X1,e_3)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_296,c_0_132]),
[final] ).
cnf(c_0_347,negated_conjecture,
( ~ product(X1,X2,e_4)
| ~ product(e_1,X2,X1)
| cycle(e_3,e_3)
| cycle(e_3,e_2)
| cycle(e_3,e_1)
| equalish(X1,e_3)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_297,c_0_121]),
[final] ).
cnf(c_0_348,negated_conjecture,
( ~ product(X1,X2,e_4)
| ~ product(e_2,X2,X1)
| equalish(X1,e_3)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_298,c_0_132]),
[final] ).
cnf(c_0_349,negated_conjecture,
( ~ product(X1,X2,e_4)
| ~ product(e_1,X2,X1)
| equalish(X1,e_2)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_1)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1)
| product(e_1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_299,c_0_167]),
[final] ).
cnf(c_0_350,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_2,X1,X3)
| ~ product(e_3,e_1,X2)
| equalish(X1,e_1)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_107,c_0_275]),
[final] ).
cnf(c_0_351,negated_conjecture,
( ~ product(X1,X2,e_4)
| ~ product(e_2,X2,X1)
| cycle(e_2,e_1)
| equalish(X1,e_3)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_300,c_0_132]),
[final] ).
cnf(c_0_352,negated_conjecture,
( ~ product(X1,X2,e_2)
| ~ product(e_1,X2,X1)
| equalish(X1,e_4)
| product(e_4,e_3,e_1)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_301,c_0_136]),
[final] ).
cnf(c_0_353,negated_conjecture,
( ~ product(X1,X2,e_3)
| ~ product(e_4,X2,X1)
| equalish(X1,e_2)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1)
| product(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_302,c_0_275]),
[final] ).
cnf(c_0_354,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_1,X1,X3)
| ~ product(e_3,e_2,X2)
| cycle(e_3,e_3)
| cycle(e_3,e_2)
| cycle(e_3,e_1)
| equalish(X1,e_2)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_107,c_0_251]),
[final] ).
cnf(c_0_355,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_1,X1,X3)
| ~ product(e_2,e_3,X2)
| equalish(X1,e_3)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1)
| product(e_1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_107,c_0_268]),
[final] ).
cnf(c_0_356,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_2,X1,X3)
| ~ product(e_3,e_1,X2)
| equalish(X1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_107,c_0_276]),
[final] ).
cnf(c_0_357,negated_conjecture,
( ~ product(X1,X2,e_3)
| ~ product(e_1,X2,X1)
| cycle(e_3,e_3)
| cycle(e_3,e_2)
| cycle(e_3,e_1)
| equalish(X1,e_2)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_1)
| product(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_303,c_0_118]),
[final] ).
cnf(c_0_358,negated_conjecture,
( ~ product(X1,X2,e_1)
| ~ product(e_2,X2,X1)
| equalish(X1,e_4)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_304,c_0_305]),
[final] ).
cnf(c_0_359,negated_conjecture,
( ~ product(X1,X2,e_2)
| ~ product(e_4,X2,X1)
| equalish(X1,e_3)
| product(e_3,e_1,e_1)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_306,c_0_287]),
[final] ).
cnf(c_0_360,negated_conjecture,
( ~ product(X1,X2,e_2)
| ~ product(e_4,X2,X1)
| equalish(X1,e_3)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| product(e_3,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_306,c_0_278]),
[final] ).
cnf(c_0_361,negated_conjecture,
( ~ product(X1,X2,e_4)
| ~ product(e_3,X2,X1)
| equalish(X1,e_2)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| product(e_3,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_307,c_0_52]),
[final] ).
cnf(c_0_362,negated_conjecture,
( ~ next(e_3,X1)
| ~ greater(X2,e_0)
| ~ cycle(e_3,X2)
| equalish(e_2,X1)
| product(e_3,e_1,e_1)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_168,c_0_287]),
[final] ).
cnf(c_0_363,plain,
( ~ next(e_3,X1)
| ~ greater(X2,e_0)
| ~ cycle(e_3,X2)
| equalish(e_2,X1)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| product(e_3,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_168,c_0_278]),
[final] ).
cnf(c_0_364,negated_conjecture,
( ~ product(X1,X2,e_2)
| ~ product(e_3,X2,X1)
| equalish(X1,e_1)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_1)
| product(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_308,c_0_263]),
[final] ).
cnf(c_0_365,negated_conjecture,
( ~ product(X1,X2,e_3)
| ~ product(e_4,X2,X1)
| equalish(X1,e_2)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_1)
| product(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_309,c_0_276]),
[final] ).
cnf(c_0_366,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_1,X1,X3)
| ~ product(e_2,e_4,X2)
| equalish(X1,e_4)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_1)
| product(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_107,c_0_263]),
[final] ).
cnf(c_0_367,negated_conjecture,
( ~ product(X1,X2,e_3)
| ~ product(e_1,X2,X1)
| equalish(X1,e_2)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_1)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_1)
| product(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_310,c_0_118]),
[final] ).
cnf(c_0_368,negated_conjecture,
( ~ product(X1,X2,e_3)
| ~ product(e_2,X2,X1)
| equalish(X1,e_4)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_1)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_311,c_0_200]),
[final] ).
cnf(c_0_369,negated_conjecture,
( ~ product(X1,X2,e_3)
| ~ product(e_1,X2,X1)
| equalish(X1,e_4)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_1)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_312,c_0_128]),
[final] ).
cnf(c_0_370,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_4,X1,X3)
| ~ product(e_3,e_1,X2)
| equalish(X1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_107,c_0_200]),
[final] ).
cnf(c_0_371,negated_conjecture,
( ~ product(X1,X2,e_1)
| ~ product(e_3,X2,X1)
| equalish(X1,e_2)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_313,c_0_226]),
[final] ).
cnf(c_0_372,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_4,X1,X3)
| ~ product(e_2,e_1,X2)
| equalish(X1,e_1)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1)
| product(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_107,c_0_270]),
[final] ).
cnf(c_0_373,negated_conjecture,
( ~ product(X1,X2,e_1)
| ~ product(e_4,X2,X1)
| equalish(X1,e_2)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_1)
| product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_314,c_0_211]),
[final] ).
cnf(c_0_374,negated_conjecture,
( ~ product(X1,X2,e_1)
| ~ product(e_4,X2,X1)
| equalish(X1,e_2)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_314,c_0_246]),
[final] ).
cnf(c_0_375,negated_conjecture,
( ~ product(X1,X2,e_1)
| ~ product(e_3,X2,X1)
| equalish(X1,e_2)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_1)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_313,c_0_315]),
[final] ).
cnf(c_0_376,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_2,X1,X3)
| ~ product(e_3,e_1,X2)
| cycle(e_2,e_1)
| equalish(X1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_107,c_0_203]),
[final] ).
cnf(c_0_377,negated_conjecture,
( ~ product(X1,X2,e_2)
| ~ product(e_1,X2,X1)
| equalish(X1,e_3)
| product(e_3,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_316,c_0_139]),
[final] ).
cnf(c_0_378,negated_conjecture,
( ~ product(X1,X2,e_4)
| ~ product(e_1,X2,X1)
| cycle(e_2,e_1)
| equalish(X1,e_2)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_1)
| product(e_1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_317,c_0_167]),
[final] ).
cnf(c_0_379,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_4,X1,X3)
| ~ product(e_1,e_2,X2)
| cycle(e_3,e_3)
| cycle(e_3,e_2)
| cycle(e_3,e_1)
| equalish(X1,e_2)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_107,c_0_282]),
[final] ).
cnf(c_0_380,negated_conjecture,
( ~ product(X1,X2,e_3)
| ~ product(e_4,X2,X1)
| cycle(e_3,e_3)
| cycle(e_3,e_2)
| cycle(e_3,e_1)
| equalish(X1,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_318,c_0_251]),
[final] ).
cnf(c_0_381,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_1,X1,X3)
| ~ product(e_2,e_4,X2)
| cycle(e_3,e_3)
| cycle(e_3,e_2)
| cycle(e_3,e_1)
| equalish(X1,e_4)
| product(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_107,c_0_269]),
[final] ).
cnf(c_0_382,negated_conjecture,
( ~ product(X1,X2,e_2)
| ~ product(e_4,X2,X1)
| cycle(e_3,e_3)
| cycle(e_3,e_2)
| cycle(e_3,e_1)
| equalish(X1,e_3)
| product(e_3,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_306,c_0_175]),
[final] ).
cnf(c_0_383,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_3,X1,X3)
| ~ product(e_2,e_1,X2)
| equalish(X1,e_1)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| product(e_3,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_107,c_0_278]),
[final] ).
cnf(c_0_384,negated_conjecture,
( ~ product(X1,X2,e_1)
| ~ product(e_4,X2,X1)
| equalish(X1,e_3)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_319,c_0_206]),
[final] ).
cnf(c_0_385,negated_conjecture,
( ~ product(X1,X2,e_1)
| ~ product(e_4,X2,X1)
| equalish(X1,e_3)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_319,c_0_154]),
[final] ).
cnf(c_0_386,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_4,X1,X3)
| ~ product(e_1,e_3,X2)
| equalish(X1,e_3)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1)
| product(e_1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_107,c_0_283]),
[final] ).
cnf(c_0_387,negated_conjecture,
( ~ product(X1,X2,e_2)
| ~ product(e_4,X2,X1)
| equalish(X1,e_1)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1)
| product(e_1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_320,c_0_268]),
[final] ).
cnf(c_0_388,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_3,X1,X3)
| ~ product(e_1,e_4,X2)
| equalish(X1,e_4)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_1)
| product(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_107,c_0_279]),
[final] ).
cnf(c_0_389,negated_conjecture,
( ~ product(X1,X2,e_2)
| ~ product(e_3,X2,X1)
| cycle(e_3,e_3)
| cycle(e_3,e_2)
| cycle(e_3,e_1)
| equalish(X1,e_1)
| product(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_321,c_0_269]),
[final] ).
cnf(c_0_390,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_4,X1,X3)
| ~ product(e_2,e_1,X2)
| equalish(X1,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_1)
| product(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_107,c_0_280]),
[final] ).
cnf(c_0_391,negated_conjecture,
( ~ product(X1,X2,e_1)
| ~ product(e_4,X2,X1)
| cycle(e_3,e_3)
| cycle(e_3,e_2)
| cycle(e_3,e_1)
| equalish(X1,e_2)
| product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_314,c_0_238]),
[final] ).
cnf(c_0_393,negated_conjecture,
( ~ product(X1,X2,e_2)
| ~ product(e_4,X2,X1)
| equalish(X1,e_3)
| product(e_3,e_1,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_306,c_0_169]),
[final] ).
cnf(c_0_394,negated_conjecture,
( ~ product(e_3,e_1,X1)
| ~ product(e_2,e_2,X1)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_275]),c_0_69]),
[final] ).
cnf(c_0_395,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_2,X1,X3)
| ~ product(e_4,e_1,X2)
| equalish(X1,e_1)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_107,c_0_52]),
[final] ).
cnf(c_0_396,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_1,X1,X3)
| ~ product(e_4,e_2,X2)
| equalish(X1,e_2)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_107,c_0_173]),
[final] ).
cnf(c_0_397,negated_conjecture,
( ~ product(X1,X2,e_1)
| ~ product(e_4,X2,X1)
| equalish(X1,e_3)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_319,c_0_198]),
[final] ).
cnf(c_0_398,negated_conjecture,
( ~ product(X1,X2,e_4)
| ~ product(e_3,X2,X1)
| equalish(X1,e_1)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_323,c_0_173]),
[final] ).
cnf(c_0_399,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_4,X1,X3)
| ~ product(e_3,e_2,X2)
| equalish(X1,e_2)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_107,c_0_128]),
[final] ).
cnf(c_0_400,negated_conjecture,
( ~ product(X1,X2,e_4)
| ~ product(e_2,X2,X1)
| equalish(X1,e_1)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_324,c_0_182]),
[final] ).
cnf(c_0_401,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_1,X1,X3)
| ~ product(e_2,e_3,X2)
| cycle(e_2,e_1)
| equalish(X1,e_3)
| product(e_1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_107,c_0_273]),
[final] ).
cnf(c_0_402,negated_conjecture,
( ~ product(X1,X2,e_1)
| ~ product(e_3,X2,X1)
| equalish(X1,e_2)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_1)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_313,c_0_214]),
[final] ).
cnf(c_0_403,negated_conjecture,
( ~ greater(e_2,e_3)
| ~ cycle(e_3,e_0)
| product(e_3,e_1,e_1)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_51,c_0_287]),
[final] ).
cnf(c_0_404,plain,
( ~ greater(e_2,e_3)
| ~ cycle(e_3,e_0)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| product(e_3,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_51,c_0_278]),
[final] ).
cnf(c_0_405,negated_conjecture,
( ~ product(e_1,e_2,X1)
| ~ product(e_4,e_4,X1)
| cycle(e_3,e_3)
| cycle(e_3,e_2)
| cycle(e_3,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_282]),c_0_109]),
[final] ).
cnf(c_0_406,negated_conjecture,
( ~ product(e_3,e_2,X1)
| ~ product(e_1,e_1,X1)
| cycle(e_3,e_3)
| cycle(e_3,e_2)
| cycle(e_3,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_251]),c_0_75]),
[final] ).
cnf(c_0_407,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_3,X1,X3)
| ~ product(e_1,e_2,X2)
| equalish(X1,e_2)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_107,c_0_206]),
[final] ).
cnf(c_0_408,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_2,X1,X3)
| ~ product(e_1,e_3,X2)
| equalish(X1,e_3)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_107,c_0_211]),
[final] ).
cnf(c_0_409,negated_conjecture,
( ~ product(X1,X2,e_3)
| ~ product(e_4,X2,X1)
| cycle(e_2,e_1)
| equalish(X1,e_2)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| product(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_325,c_0_203]),
[final] ).
cnf(c_0_410,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_4,X1,X3)
| ~ product(e_1,e_3,X2)
| ~ product(e_2,e_3,e_4)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_107,c_0_151]),
[final] ).
cnf(c_0_411,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_4,X3,X1)
| ~ product(e_1,e_3,X2)
| ~ product(e_2,e_3,e_4)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_185,c_0_151]),
[final] ).
cnf(c_0_412,negated_conjecture,
( ~ product(e_1,e_4,X1)
| ~ product(e_3,e_3,X1)
| product(e_3,e_1,e_1)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_326]),c_0_127]),
[final] ).
cnf(c_0_413,negated_conjecture,
( ~ product(X1,X2,e_1)
| ~ product(e_4,X2,X1)
| equalish(X1,e_3)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_319,c_0_265]),
[final] ).
cnf(c_0_414,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_3,X1,X3)
| ~ product(e_1,e_4,X2)
| cycle(e_3,e_3)
| cycle(e_3,e_2)
| cycle(e_3,e_1)
| equalish(X1,e_4)
| product(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_107,c_0_284]),
[final] ).
cnf(c_0_415,negated_conjecture,
( ~ product(e_2,e_1,X1)
| ~ product(e_3,e_3,X1)
| product(e_3,e_1,e_1)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_287]),c_0_162]),
[final] ).
cnf(c_0_416,negated_conjecture,
( ~ product(X1,X2,e_2)
| ~ product(e_3,X2,X1)
| equalish(X1,e_4)
| product(e_4,e_1,e_1)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_327,c_0_233]),
[final] ).
cnf(c_0_417,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_3,X1,X3)
| ~ product(e_4,e_1,X2)
| equalish(X1,e_1)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_107,c_0_132]),
[final] ).
cnf(c_0_418,negated_conjecture,
( ~ product(e_1,e_4,X1)
| ~ product(e_3,e_3,X1)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| product(e_3,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_328]),c_0_127]),
[final] ).
cnf(c_0_419,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_3,X1,X3)
| ~ product(e_2,e_4,X2)
| equalish(X1,e_4)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_107,c_0_139]),
[final] ).
cnf(c_0_420,negated_conjecture,
( ~ product(e_1,e_3,X1)
| ~ product(e_4,e_4,X1)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1)
| product(e_1,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_283]),c_0_92]),
[final] ).
cnf(c_0_421,negated_conjecture,
( ~ product(e_2,e_3,X1)
| ~ product(e_1,e_1,X1)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1)
| product(e_1,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_268]),c_0_86]),
[final] ).
cnf(c_0_422,negated_conjecture,
( ~ product(e_1,e_4,X1)
| ~ product(e_3,e_3,X1)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_1)
| product(e_1,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_279]),c_0_127]),
[final] ).
cnf(c_0_423,negated_conjecture,
( ~ product(e_2,e_4,X1)
| ~ product(e_1,e_1,X1)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_1)
| product(e_1,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_263]),c_0_257]),
[final] ).
cnf(c_0_424,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_4,X1,X3)
| ~ product(e_2,e_3,X2)
| equalish(X1,e_3)
| product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_107,c_0_136]),
[final] ).
cnf(c_0_425,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_1,X1,X3)
| ~ product(e_4,e_3,X2)
| equalish(X1,e_3)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_107,c_0_182]),
[final] ).
cnf(c_0_426,negated_conjecture,
( ~ product(e_3,e_1,X1)
| ~ product(e_2,e_2,X1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_276]),c_0_69]),
[final] ).
cnf(c_0_427,negated_conjecture,
( ~ product(e_1,e_3,X1)
| ~ product(e_4,e_4,X1)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1)
| product(e_4,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_285]),c_0_92]),
[final] ).
cnf(c_0_428,negated_conjecture,
( ~ next(e_4,X1)
| ~ greater(X2,e_0)
| ~ cycle(e_4,X2)
| equalish(e_2,X1)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1)
| product(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_168,c_0_270]),
[final] ).
cnf(c_0_429,negated_conjecture,
( ~ next(e_4,X1)
| ~ greater(X2,e_0)
| ~ cycle(e_4,X2)
| equalish(e_2,X1)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1)
| product(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_168,c_0_233]),
[final] ).
cnf(c_0_430,negated_conjecture,
( ~ next(e_4,X1)
| ~ greater(X2,e_0)
| ~ cycle(e_4,X2)
| equalish(e_2,X1)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_1)
| product(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_168,c_0_329]),
[final] ).
cnf(c_0_431,negated_conjecture,
( ~ product(X1,X2,e_3)
| ~ product(e_2,X2,X1)
| equalish(X1,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_330,c_0_194]),
[final] ).
cnf(c_0_432,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_4,X1,X3)
| ~ product(e_2,e_1,X2)
| cycle(e_2,e_1)
| equalish(X1,e_1)
| product(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_107,c_0_286]),
[final] ).
cnf(c_0_433,negated_conjecture,
( ~ product(e_1,e_3,X1)
| ~ product(e_4,e_4,X1)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1)
| product(e_4,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_243]),c_0_92]),
[final] ).
cnf(c_0_434,negated_conjecture,
( ~ product(X1,X2,e_1)
| ~ product(e_2,X2,X1)
| equalish(X1,e_3)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_331,c_0_146]),
[final] ).
cnf(c_0_435,negated_conjecture,
( ~ product(e_1,e_3,X1)
| ~ product(e_2,e_2,X1)
| cycle(e_3,e_3)
| cycle(e_3,e_2)
| cycle(e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_238]),c_0_124]),
[final] ).
cnf(c_0_436,negated_conjecture,
( ~ product(X1,e_3,e_1)
| cycle(e_3,e_3)
| cycle(e_3,e_2)
| cycle(e_3,e_1)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_66,c_0_238]),
[final] ).
cnf(c_0_437,negated_conjecture,
( ~ greater(e_2,e_3)
| ~ cycle(e_3,e_0)
| product(e_3,e_1,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_51,c_0_169]),
[final] ).
cnf(c_0_438,negated_conjecture,
( ~ product(e_2,e_1,X1)
| ~ product(e_4,e_4,X1)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1)
| product(e_4,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_270]),c_0_176]),
[final] ).
cnf(c_0_439,plain,
( ~ next(e_3,X1)
| ~ greater(X2,e_0)
| ~ cycle(e_3,X2)
| cycle(e_3,e_3)
| cycle(e_3,e_2)
| cycle(e_3,e_1)
| equalish(e_2,X1)
| product(e_3,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_168,c_0_175]),
[final] ).
cnf(c_0_440,axiom,
greater(e_4,e_0),
e_4_greater_e_0,
[final] ).
cnf(c_0_441,negated_conjecture,
( ~ product(X1,X2,e_1)
| ~ product(e_3,X2,X1)
| cycle(e_2,e_1)
| equalish(X1,e_2)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_313,c_0_219]),
[final] ).
cnf(c_0_442,negated_conjecture,
( ~ next(e_4,X1)
| ~ greater(X2,e_0)
| ~ cycle(e_4,X2)
| equalish(e_2,X1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_1)
| product(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_168,c_0_280]),
[final] ).
cnf(c_0_443,negated_conjecture,
( ~ product(e_1,e_3,X1)
| ~ product(e_4,e_4,X1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_1)
| product(e_4,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_332]),c_0_92]),
[final] ).
cnf(c_0_444,negated_conjecture,
( ~ product(e_2,e_1,X1)
| ~ product(e_4,e_4,X1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_1)
| product(e_4,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_280]),c_0_176]),
[final] ).
cnf(c_0_445,negated_conjecture,
( ~ product(e_2,e_1,X1)
| ~ product(e_4,e_4,X1)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1)
| product(e_4,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_233]),c_0_176]),
[final] ).
cnf(c_0_446,negated_conjecture,
( ~ product(e_1,e_2,X1)
| ~ product(e_3,e_3,X1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_265]),c_0_141]),
[final] ).
cnf(c_0_447,negated_conjecture,
( ~ product(e_1,e_4,X1)
| ~ product(e_3,e_3,X1)
| cycle(e_3,e_3)
| cycle(e_3,e_2)
| cycle(e_3,e_1)
| product(e_1,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_284]),c_0_127]),
[final] ).
cnf(c_0_448,negated_conjecture,
( ~ product(e_2,e_4,X1)
| ~ product(e_1,e_1,X1)
| cycle(e_3,e_3)
| cycle(e_3,e_2)
| cycle(e_3,e_1)
| product(e_1,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_269]),c_0_257]),
[final] ).
cnf(c_0_449,plain,
( ~ greater(X1,X2)
| ~ cycle(e_4,X2)
| ~ cycle(e_1,X1)
| cycle(e_3,e_3)
| cycle(e_3,e_2)
| cycle(e_3,e_1) ),
inference(spm,[status(thm)],[c_0_333,c_0_91]),
[final] ).
cnf(c_0_450,negated_conjecture,
( ~ product(e_1,e_4,X1)
| ~ product(e_3,e_3,X1)
| cycle(e_3,e_3)
| cycle(e_3,e_2)
| cycle(e_3,e_1)
| product(e_3,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_187]),c_0_127]),
[final] ).
cnf(c_0_451,negated_conjecture,
( ~ product(e_2,e_1,X1)
| ~ product(e_3,e_3,X1)
| cycle(e_3,e_3)
| cycle(e_3,e_2)
| cycle(e_3,e_1)
| product(e_3,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_175]),c_0_162]),
[final] ).
cnf(c_0_452,negated_conjecture,
( ~ product(X1,X2,e_1)
| ~ product(e_4,X2,X1)
| cycle(e_2,e_1)
| equalish(X1,e_3)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_319,c_0_271]),
[final] ).
cnf(c_0_453,negated_conjecture,
( ~ product(e_2,e_1,X1)
| ~ product(e_4,e_4,X1)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_1)
| product(e_4,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_329]),c_0_176]),
[final] ).
cnf(c_0_454,negated_conjecture,
( ~ next(e_4,X1)
| ~ greater(X2,e_0)
| ~ cycle(e_4,X2)
| cycle(e_2,e_1)
| equalish(e_2,X1)
| product(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_168,c_0_286]),
[final] ).
cnf(c_0_455,negated_conjecture,
( ~ product(e_1,e_3,X1)
| ~ product(e_4,e_4,X1)
| cycle(e_2,e_1)
| product(e_4,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_334]),c_0_92]),
[final] ).
cnf(c_0_456,negated_conjecture,
( ~ product(e_2,e_1,X1)
| ~ product(e_4,e_4,X1)
| cycle(e_2,e_1)
| product(e_4,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_286]),c_0_176]),
[final] ).
cnf(c_0_457,negated_conjecture,
( ~ product(e_1,e_2,X1)
| ~ product(e_3,e_3,X1)
| cycle(e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_271]),c_0_141]),
[final] ).
cnf(c_0_458,negated_conjecture,
( ~ product(e_1,e_4,X1)
| ~ product(e_2,e_2,X1)
| cycle(e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_219]),c_0_119]),
[final] ).
cnf(c_0_459,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_4,X1,X3)
| ~ product(e_1,e_3,X2)
| cycle(e_2,e_1)
| equalish(X1,e_3)
| product(e_1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_107,c_0_290]),
[final] ).
cnf(c_0_460,negated_conjecture,
( ~ product(X1,X2,e_2)
| ~ product(e_4,X2,X1)
| cycle(e_2,e_1)
| equalish(X1,e_1)
| product(e_1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_335,c_0_273]),
[final] ).
cnf(c_0_463,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_2,X1,X3)
| ~ product(e_1,e_4,X2)
| equalish(X1,e_4)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_107,c_0_214]),
[final] ).
cnf(c_0_464,negated_conjecture,
( ~ product(e_1,e_3,X1)
| ~ product(e_4,e_4,X1)
| cycle(e_2,e_1)
| product(e_1,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_290]),c_0_92]),
[final] ).
cnf(c_0_465,negated_conjecture,
( ~ product(e_2,e_3,X1)
| ~ product(e_1,e_1,X1)
| cycle(e_2,e_1)
| product(e_1,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_273]),c_0_86]),
[final] ).
cnf(c_0_466,negated_conjecture,
( ~ product(e_3,e_1,X1)
| ~ product(e_2,e_2,X1)
| cycle(e_2,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_203]),c_0_69]),
[final] ).
cnf(c_0_467,plain,
( ~ next(e_3,X1)
| ~ greater(X2,e_0)
| ~ cycle(e_3,X2)
| equalish(e_4,X1)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_168,c_0_132]),
[final] ).
cnf(c_0_468,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_3,X1,X3)
| ~ product(e_4,e_2,X2)
| equalish(X1,e_2)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_107,c_0_121]),
[final] ).
cnf(c_0_469,negated_conjecture,
( ~ product(e_1,e_4,X1)
| ~ product(e_2,e_2,X1)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_226]),c_0_119]),
[final] ).
cnf(c_0_470,negated_conjecture,
( ~ product(e_2,e_1,X1)
| ~ product(e_3,e_3,X1)
| product(e_3,e_1,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_169]),c_0_162]),
[final] ).
cnf(c_0_471,negated_conjecture,
( ~ product(e_1,e_2,X1)
| ~ product(e_3,e_3,X1)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_154]),c_0_141]),
[final] ).
cnf(c_0_472,negated_conjecture,
( ~ product(e_1,e_3,X1)
| ~ product(e_2,e_2,X1)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_246]),c_0_124]),
[final] ).
cnf(c_0_473,negated_conjecture,
( ~ product(e_1,e_4,X1)
| ~ product(e_2,e_2,X1)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_315]),c_0_119]),
[final] ).
cnf(c_0_474,negated_conjecture,
( ~ product(e_1,e_2,X1)
| ~ product(e_3,e_3,X1)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_198]),c_0_141]),
[final] ).
cnf(c_0_475,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_2,X1,X3)
| ~ product(e_4,e_3,X2)
| equalish(X1,e_3)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_107,c_0_167]),
[final] ).
cnf(c_0_476,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_1,X1,X3)
| ~ product(e_3,e_4,X2)
| equalish(X1,e_4)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_107,c_0_194]),
[final] ).
cnf(c_0_477,negated_conjecture,
( ~ product(e_1,e_2,X1)
| ~ product(e_4,e_4,X1)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_159]),c_0_109]),
[final] ).
cnf(c_0_478,negated_conjecture,
( ~ product(e_4,e_1,X1)
| ~ product(e_2,e_2,X1)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_52]),c_0_69]),
[final] ).
cnf(c_0_479,negated_conjecture,
( ~ product(e_3,X1,e_1)
| ~ product(e_2,e_4,e_3)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_61,c_0_294]),
[final] ).
cnf(c_0_480,negated_conjecture,
( ~ product(e_4,e_1,X1)
| ~ product(e_3,e_3,X1)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_132]),c_0_162]),
[final] ).
cnf(c_0_481,negated_conjecture,
( ~ product(e_4,e_2,X1)
| ~ product(e_1,e_1,X1)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_173]),c_0_75]),
[final] ).
cnf(c_0_482,plain,
( ~ product(X1,e_3,e_1)
| equalish(X1,e_2)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_66,c_0_246]),
[final] ).
cnf(c_0_483,negated_conjecture,
( ~ product(e_4,e_2,X1)
| ~ product(e_3,e_3,X1)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_121]),c_0_141]),
[final] ).
cnf(c_0_484,negated_conjecture,
( ~ product(e_1,e_3,X1)
| ~ product(e_4,e_4,X1)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_338,c_0_167]),
[final] ).
cnf(c_0_485,plain,
( ~ next(X2,X1)
| ~ cycle(e_4,X2)
| cycle(e_2,e_1)
| equalish(e_1,X1) ),
inference(spm,[status(thm)],[c_0_339,c_0_91]),
[final] ).
cnf(c_0_486,plain,
( ~ next(e_4,X2)
| ~ greater(X1,X3)
| ~ cycle(X2,X3)
| ~ cycle(e_3,X1) ),
inference(spm,[status(thm)],[c_0_292,c_0_150]),
[final] ).
cnf(c_0_487,plain,
( ~ cycle(X1,X3)
| ~ cycle(X1,X2)
| equalish(X2,X3) ),
c_0_340,
[final] ).
cnf(c_0_488,plain,
( ~ next(e_4,X1)
| ~ greater(e_2,X2)
| ~ cycle(X1,X2)
| cycle(e_2,e_1) ),
inference(spm,[status(thm)],[c_0_341,c_0_134]),
[final] ).
cnf(c_0_489,axiom,
greater(e_2,e_1),
e_2_greater_e_1,
[final] ).
cnf(c_0_490,plain,
( ~ next(e_1,X2)
| ~ greater(X1,X3)
| ~ cycle(X2,X3)
| ~ cycle(e_0,X1)
| cycle(e_1,e_3)
| cycle(e_1,e_2)
| cycle(e_1,e_1) ),
inference(spm,[status(thm)],[c_0_342,c_0_180]),
[final] ).
cnf(c_0_491,plain,
( ~ next(e_3,X2)
| ~ greater(X1,X3)
| ~ cycle(X2,X3)
| ~ cycle(e_0,X1)
| cycle(e_3,e_3)
| cycle(e_3,e_2)
| cycle(e_3,e_1) ),
inference(spm,[status(thm)],[c_0_113,c_0_72]),
[final] ).
cnf(c_0_492,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_2,X1,X3)
| ~ product(e_3,e_4,X2)
| equalish(X1,e_4)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_107,c_0_118]),
[final] ).
cnf(c_0_493,negated_conjecture,
( ~ product(X1,e_3,e_1)
| ~ product(e_2,e_3,e_4)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_66,c_0_151]),
[final] ).
cnf(c_0_494,plain,
( ~ next(e_4,X1)
| ~ greater(X2,e_0)
| ~ cycle(e_4,X2)
| equalish(e_3,X1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_168,c_0_200]),
[final] ).
cnf(c_0_495,plain,
( ~ next(e_1,X1)
| ~ greater(X2,e_0)
| ~ cycle(e_1,X2)
| equalish(e_1,X1) ),
inference(spm,[status(thm)],[c_0_168,c_0_62]),
[final] ).
cnf(c_0_496,negated_conjecture,
( ~ product(e_1,e_4,X1)
| ~ product(e_3,e_3,X1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_343,c_0_118]),
[final] ).
cnf(c_0_497,negated_conjecture,
( ~ product(e_3,e_4,X1)
| ~ product(e_1,e_1,X1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_194]),c_0_257]),
[final] ).
cnf(c_0_498,plain,
( ~ next(e_4,X2)
| ~ greater(X1,X3)
| ~ cycle(X2,X3)
| ~ cycle(e_1,X1) ),
inference(spm,[status(thm)],[c_0_292,c_0_344]),
[final] ).
cnf(c_0_499,negated_conjecture,
( ~ product(X1,e_4,e_1)
| ~ product(e_2,e_4,e_3)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_66,c_0_294]),
[final] ).
cnf(c_0_500,plain,
( ~ greater(e_1,e_1)
| ~ cycle(e_1,e_0) ),
inference(spm,[status(thm)],[c_0_51,c_0_62]),
[final] ).
cnf(c_0_501,plain,
( ~ product(X2,X2,X1)
| equalish(X1,X2) ),
inference(spm,[status(thm)],[c_0_345,c_0_62]),
[final] ).
cnf(c_0_502,negated_conjecture,
( ~ product(e_4,e_3,e_4)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_1)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_346,c_0_167]),c_0_127]),
[final] ).
cnf(c_0_503,negated_conjecture,
( ~ product(e_4,e_3,e_4)
| cycle(e_3,e_3)
| cycle(e_3,e_2)
| cycle(e_3,e_1)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_1)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_347,c_0_182]),c_0_127]),
[final] ).
cnf(c_0_504,negated_conjecture,
( ~ product(e_4,e_3,e_4)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_1)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_348,c_0_167]),c_0_127]),
[final] ).
cnf(c_0_505,negated_conjecture,
( ~ product(e_3,e_4,e_4)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_1)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_1)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1)
| product(e_1,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_349,c_0_194]),c_0_124]),
[final] ).
cnf(c_0_506,negated_conjecture,
( ~ product(X2,X1,e_4)
| ~ product(e_2,X1,X2)
| equalish(X1,e_1)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_350,c_0_132]),
[final] ).
cnf(c_0_507,negated_conjecture,
( ~ product(e_1,e_4,e_4)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_346,c_0_226]),c_0_162]),
[final] ).
cnf(c_0_508,negated_conjecture,
( ~ product(e_2,e_2,e_4)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_346,c_0_62]),c_0_141]),
[final] ).
cnf(c_0_509,negated_conjecture,
( ~ product(e_4,e_3,e_4)
| cycle(e_2,e_1)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_1)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_351,c_0_167]),c_0_127]),
[final] ).
cnf(c_0_510,negated_conjecture,
( ~ product(e_2,e_4,e_4)
| cycle(e_3,e_3)
| cycle(e_3,e_2)
| cycle(e_3,e_1)
| product(e_1,e_4,e_1)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_347,c_0_269]),c_0_141]),
[final] ).
cnf(c_0_511,negated_conjecture,
( ~ product(e_3,e_2,e_2)
| cycle(e_3,e_3)
| cycle(e_3,e_2)
| cycle(e_3,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1)
| product(e_4,e_3,e_1)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_352,c_0_251]),c_0_92]),
[final] ).
cnf(c_0_512,negated_conjecture,
( ~ product(e_3,e_2,e_3)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1)
| product(e_4,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_353,c_0_128]),c_0_124]),
[final] ).
cnf(c_0_513,negated_conjecture,
( ~ product(X2,X1,e_4)
| ~ product(e_1,X1,X2)
| cycle(e_3,e_3)
| cycle(e_3,e_2)
| cycle(e_3,e_1)
| equalish(X1,e_2)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_354,c_0_121]),
[final] ).
cnf(c_0_514,negated_conjecture,
( ~ product(e_1,e_1,e_4)
| cycle(e_3,e_3)
| cycle(e_3,e_2)
| cycle(e_3,e_1)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_347,c_0_62]),c_0_162]),
[final] ).
cnf(c_0_515,negated_conjecture,
( ~ product(X2,X1,e_4)
| ~ product(e_1,X1,X2)
| equalish(X1,e_3)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_1)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1)
| product(e_1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_355,c_0_167]),
[final] ).
cnf(c_0_516,negated_conjecture,
( ~ product(e_4,e_2,e_4)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_1)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1)
| product(e_1,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_349,c_0_173]),c_0_119]),
[final] ).
cnf(c_0_517,negated_conjecture,
( ~ product(e_1,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_1)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1)
| product(e_1,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_349,c_0_62]),c_0_69]),
[final] ).
cnf(c_0_518,negated_conjecture,
( ~ product(X2,X1,e_4)
| ~ product(e_2,X1,X2)
| equalish(X1,e_1)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_356,c_0_132]),
[final] ).
cnf(c_0_519,negated_conjecture,
( ~ product(e_1,e_4,e_4)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_348,c_0_214]),c_0_162]),
[final] ).
cnf(c_0_520,negated_conjecture,
( ~ product(e_2,e_2,e_4)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_348,c_0_62]),c_0_141]),
[final] ).
cnf(c_0_521,negated_conjecture,
( ~ product(e_3,e_2,e_3)
| cycle(e_3,e_3)
| cycle(e_3,e_2)
| cycle(e_3,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_1)
| product(e_1,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_357,c_0_251]),c_0_124]),
[final] ).
cnf(c_0_522,negated_conjecture,
( ~ product(e_3,e_1,e_1)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_358,c_0_275]),c_0_92]),
[final] ).
cnf(c_0_523,negated_conjecture,
( ~ product(e_2,e_3,e_2)
| product(e_4,e_3,e_1)
| product(e_3,e_1,e_1)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_359,c_0_136]),c_0_141]),
[final] ).
cnf(c_0_524,negated_conjecture,
( ~ product(e_2,e_3,e_2)
| product(e_4,e_3,e_1)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| product(e_3,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_360,c_0_136]),c_0_141]),
[final] ).
cnf(c_0_525,negated_conjecture,
( ~ product(e_4,e_2,e_4)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_1)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| product(e_3,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_361,c_0_121]),c_0_119]),
[final] ).
cnf(c_0_526,negated_conjecture,
( ~ next(e_3,X1)
| ~ greater(e_0,e_0)
| cycle(e_3,e_3)
| cycle(e_3,e_2)
| cycle(e_3,e_1)
| equalish(e_2,X1)
| product(e_3,e_1,e_1)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_362,c_0_82]),
[final] ).
cnf(c_0_527,plain,
( ~ next(e_3,X1)
| ~ greater(e_0,e_0)
| cycle(e_3,e_3)
| cycle(e_3,e_2)
| cycle(e_3,e_1)
| equalish(e_2,X1)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| product(e_3,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_363,c_0_82]),
[final] ).
cnf(c_0_528,negated_conjecture,
( ~ product(e_4,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_1)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_1)
| product(e_1,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_364,c_0_121]),c_0_257]),
[final] ).
cnf(c_0_529,negated_conjecture,
( ~ product(e_3,e_2,e_3)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_1)
| product(e_4,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_365,c_0_128]),c_0_124]),
[final] ).
cnf(c_0_530,negated_conjecture,
( ~ product(X2,X1,e_3)
| ~ product(e_1,X1,X2)
| equalish(X1,e_4)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_1)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_1)
| product(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_366,c_0_118]),
[final] ).
cnf(c_0_531,negated_conjecture,
( ~ product(e_4,e_3,e_3)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_1)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_1)
| product(e_1,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_367,c_0_182]),c_0_119]),
[final] ).
cnf(c_0_532,negated_conjecture,
( ~ product(e_1,e_1,e_3)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_1)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_1)
| product(e_1,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_367,c_0_62]),c_0_69]),
[final] ).
cnf(c_0_533,negated_conjecture,
( ~ product(e_3,e_4,e_3)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_1)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_368,c_0_118]),c_0_92]),
[final] ).
cnf(c_0_534,negated_conjecture,
( ~ product(e_3,e_4,e_3)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_1)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_369,c_0_194]),c_0_92]),
[final] ).
cnf(c_0_535,negated_conjecture,
( ~ product(X2,X1,e_2)
| ~ product(e_4,X1,X2)
| equalish(X1,e_1)
| product(e_3,e_1,e_1)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_370,c_0_287]),
[final] ).
cnf(c_0_536,negated_conjecture,
( ~ product(e_1,e_2,e_2)
| product(e_3,e_1,e_1)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_359,c_0_228]),c_0_162]),
[final] ).
cnf(c_0_537,negated_conjecture,
( ~ product(e_4,e_4,e_2)
| product(e_3,e_1,e_1)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_359,c_0_62]),c_0_127]),
[final] ).
cnf(c_0_538,negated_conjecture,
( ~ product(e_4,e_1,e_1)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1)
| product(e_3,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_371,c_0_132]),c_0_119]),
[final] ).
cnf(c_0_539,negated_conjecture,
( ~ product(X2,X1,e_3)
| ~ product(e_4,X1,X2)
| equalish(X1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1)
| product(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_372,c_0_275]),
[final] ).
cnf(c_0_540,negated_conjecture,
( ~ product(e_1,e_3,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1)
| product(e_4,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_353,c_0_285]),c_0_69]),
[final] ).
cnf(c_0_541,negated_conjecture,
( ~ product(e_4,e_4,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1)
| product(e_4,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_353,c_0_62]),c_0_119]),
[final] ).
cnf(c_0_542,negated_conjecture,
( ~ product(e_1,e_2,e_1)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_1)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_1)
| product(e_4,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_373,c_0_159]),c_0_69]),
[final] ).
cnf(c_0_543,negated_conjecture,
( ~ product(e_1,e_4,e_1)
| product(e_3,e_1,e_1)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_1)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_205,c_0_326]),c_0_176]),
[final] ).
cnf(c_0_544,negated_conjecture,
( ~ product(e_2,e_1,e_1)
| product(e_3,e_1,e_1)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_1)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_205,c_0_287]),c_0_109]),
[final] ).
cnf(c_0_545,negated_conjecture,
( ~ product(e_1,e_2,e_1)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_1)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| product(e_4,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_374,c_0_159]),c_0_69]),
[final] ).
cnf(c_0_546,negated_conjecture,
( ~ product(X2,X1,e_2)
| ~ product(e_4,X1,X2)
| equalish(X1,e_1)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| product(e_3,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_370,c_0_278]),
[final] ).
cnf(c_0_547,negated_conjecture,
( ~ product(e_1,e_2,e_2)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| product(e_3,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_360,c_0_228]),c_0_162]),
[final] ).
cnf(c_0_548,negated_conjecture,
( ~ product(e_4,e_4,e_2)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| product(e_3,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_360,c_0_62]),c_0_127]),
[final] ).
cnf(c_0_549,negated_conjecture,
( ~ product(e_4,e_1,e_1)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_1)
| product(e_3,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_375,c_0_132]),c_0_119]),
[final] ).
cnf(c_0_550,negated_conjecture,
( ~ product(e_1,e_4,e_1)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| product(e_3,e_1,e_1)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_205,c_0_328]),c_0_176]),
[final] ).
cnf(c_0_551,negated_conjecture,
( ~ product(e_3,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_1)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_358,c_0_276]),c_0_92]),
[final] ).
cnf(c_0_552,negated_conjecture,
( ~ product(X2,X1,e_4)
| ~ product(e_2,X1,X2)
| cycle(e_2,e_1)
| equalish(X1,e_1)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_376,c_0_132]),
[final] ).
cnf(c_0_553,negated_conjecture,
( ~ product(e_2,e_3,e_2)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1)
| product(e_1,e_3,e_1)
| product(e_3,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_377,c_0_268]),c_0_141]),
[final] ).
cnf(c_0_554,negated_conjecture,
( ~ product(e_1,e_4,e_4)
| cycle(e_2,e_1)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_351,c_0_219]),c_0_162]),
[final] ).
cnf(c_0_555,negated_conjecture,
( ~ product(e_2,e_2,e_4)
| cycle(e_2,e_1)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_351,c_0_62]),c_0_141]),
[final] ).
cnf(c_0_556,negated_conjecture,
( ~ product(e_3,e_4,e_4)
| cycle(e_2,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_1)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_1)
| product(e_1,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_378,c_0_194]),c_0_124]),
[final] ).
cnf(c_0_557,negated_conjecture,
( ~ product(X2,X1,e_3)
| ~ product(e_4,X1,X2)
| cycle(e_3,e_3)
| cycle(e_3,e_2)
| cycle(e_3,e_1)
| equalish(X1,e_2)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_379,c_0_251]),
[final] ).
cnf(c_0_558,negated_conjecture,
( ~ product(e_3,e_1,e_3)
| cycle(e_3,e_3)
| cycle(e_3,e_2)
| cycle(e_3,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_380,c_0_200]),c_0_86]),
[final] ).
cnf(c_0_559,negated_conjecture,
( ~ product(e_2,e_3,e_3)
| cycle(e_3,e_3)
| cycle(e_3,e_2)
| cycle(e_3,e_1)
| product(e_4,e_3,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_380,c_0_136]),c_0_75]),
[final] ).
cnf(c_0_560,negated_conjecture,
( ~ product(e_4,e_4,e_3)
| cycle(e_3,e_3)
| cycle(e_3,e_2)
| cycle(e_3,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_380,c_0_62]),c_0_257]),
[final] ).
cnf(c_0_561,negated_conjecture,
( ~ product(X2,X1,e_3)
| ~ product(e_1,X1,X2)
| cycle(e_3,e_3)
| cycle(e_3,e_2)
| cycle(e_3,e_1)
| equalish(X1,e_4)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_1)
| product(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_381,c_0_118]),
[final] ).
cnf(c_0_562,negated_conjecture,
( ~ product(e_1,e_1,e_3)
| cycle(e_3,e_3)
| cycle(e_3,e_2)
| cycle(e_3,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_1)
| product(e_1,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_357,c_0_62]),c_0_69]),
[final] ).
cnf(c_0_563,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_3,X1,X3)
| ~ product(e_1,e_4,X2)
| equalish(X1,e_4)
| product(e_3,e_1,e_1)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_107,c_0_326]),
[final] ).
cnf(c_0_564,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_3,X3,X1)
| ~ product(e_1,e_4,X2)
| equalish(X1,e_1)
| product(e_3,e_1,e_1)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_185,c_0_326]),
[final] ).
cnf(c_0_565,negated_conjecture,
( ~ product(e_2,e_3,e_2)
| cycle(e_3,e_3)
| cycle(e_3,e_2)
| cycle(e_3,e_1)
| product(e_4,e_3,e_1)
| product(e_3,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_382,c_0_136]),c_0_141]),
[final] ).
cnf(c_0_566,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_3,X1,X3)
| ~ product(e_2,e_1,X2)
| equalish(X1,e_1)
| product(e_3,e_1,e_1)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_107,c_0_287]),
[final] ).
cnf(c_0_567,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_3,X3,X1)
| ~ product(e_2,e_1,X2)
| equalish(X1,e_2)
| product(e_3,e_1,e_1)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_185,c_0_287]),
[final] ).
cnf(c_0_568,negated_conjecture,
( ~ product(X2,X1,e_2)
| ~ product(e_4,X1,X2)
| cycle(e_3,e_3)
| cycle(e_3,e_2)
| cycle(e_3,e_1)
| equalish(X1,e_1)
| product(e_3,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_370,c_0_175]),
[final] ).
cnf(c_0_569,negated_conjecture,
( ~ product(e_1,e_2,e_2)
| cycle(e_3,e_3)
| cycle(e_3,e_2)
| cycle(e_3,e_1)
| product(e_3,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_382,c_0_228]),c_0_162]),
[final] ).
cnf(c_0_570,negated_conjecture,
( ~ product(e_4,e_4,e_2)
| cycle(e_3,e_3)
| cycle(e_3,e_2)
| cycle(e_3,e_1)
| product(e_3,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_382,c_0_62]),c_0_127]),
[final] ).
cnf(c_0_571,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_3,X1,X3)
| ~ product(e_1,e_4,X2)
| equalish(X1,e_4)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| product(e_3,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_107,c_0_328]),
[final] ).
cnf(c_0_572,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_3,X3,X1)
| ~ product(e_1,e_4,X2)
| equalish(X1,e_1)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| product(e_3,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_185,c_0_328]),
[final] ).
cnf(c_0_573,negated_conjecture,
( ~ product(X2,X1,e_4)
| ~ product(e_3,X1,X2)
| equalish(X1,e_1)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| product(e_3,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_383,c_0_52]),
[final] ).
cnf(c_0_574,negated_conjecture,
( ~ product(e_1,e_4,e_4)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| product(e_3,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_361,c_0_328]),c_0_69]),
[final] ).
cnf(c_0_575,negated_conjecture,
( ~ product(e_3,e_3,e_4)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| product(e_3,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_361,c_0_62]),c_0_124]),
[final] ).
cnf(c_0_576,negated_conjecture,
( ~ product(e_2,e_3,e_4)
| ~ product(e_1,e_3,e_1)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_384,c_0_151]),c_0_162]),
[final] ).
cnf(c_0_577,negated_conjecture,
( ~ product(e_2,e_3,e_4)
| ~ product(e_1,e_3,e_1)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_385,c_0_151]),c_0_162]),
[final] ).
cnf(c_0_578,negated_conjecture,
( ~ product(X2,X1,e_2)
| ~ product(e_4,X1,X2)
| equalish(X1,e_3)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1)
| product(e_1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_386,c_0_268]),
[final] ).
cnf(c_0_579,negated_conjecture,
( ~ product(e_3,e_2,e_2)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_1)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1)
| product(e_1,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_387,c_0_128]),c_0_86]),
[final] ).
cnf(c_0_580,negated_conjecture,
( ~ product(e_4,e_4,e_2)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1)
| product(e_1,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_387,c_0_62]),c_0_257]),
[final] ).
cnf(c_0_581,negated_conjecture,
( ~ product(X2,X1,e_2)
| ~ product(e_3,X1,X2)
| equalish(X1,e_4)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_1)
| product(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_388,c_0_263]),
[final] ).
cnf(c_0_582,negated_conjecture,
( ~ next(e_2,X1)
| ~ greater(X2,e_0)
| ~ cycle(e_2,X2)
| equalish(e_3,X1)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_168,c_0_275]),
[final] ).
cnf(c_0_583,negated_conjecture,
( ~ product(e_2,e_1,e_2)
| product(e_3,e_1,e_1)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_1)
| product(e_1,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_364,c_0_287]),c_0_75]),
[final] ).
cnf(c_0_584,negated_conjecture,
( ~ product(e_3,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_1)
| product(e_1,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_364,c_0_62]),c_0_86]),
[final] ).
cnf(c_0_585,negated_conjecture,
( ~ product(e_4,e_2,e_2)
| cycle(e_3,e_3)
| cycle(e_3,e_2)
| cycle(e_3,e_1)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_1)
| product(e_1,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_389,c_0_121]),c_0_257]),
[final] ).
cnf(c_0_586,negated_conjecture,
( ~ next(e_3,X1)
| ~ greater(e_0,e_0)
| cycle(e_3,e_3)
| cycle(e_3,e_2)
| cycle(e_3,e_1)
| equalish(e_2,X1)
| product(e_3,e_1,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_178,c_0_82]),
[final] ).
cnf(c_0_587,negated_conjecture,
( ~ product(X2,X1,e_3)
| ~ product(e_4,X1,X2)
| equalish(X1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_1)
| product(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_390,c_0_276]),
[final] ).
cnf(c_0_588,negated_conjecture,
( ~ product(e_1,e_2,e_1)
| cycle(e_3,e_3)
| cycle(e_3,e_2)
| cycle(e_3,e_1)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_1)
| product(e_4,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_391,c_0_159]),c_0_69]),
[final] ).
cnf(c_0_589,negated_conjecture,
( ~ product(e_1,e_3,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_1)
| product(e_4,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_365,c_0_332]),c_0_69]),
[final] ).
cnf(c_0_590,negated_conjecture,
( ~ product(e_4,e_4,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_1)
| product(e_4,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_365,c_0_62]),c_0_119]),
[final] ).
cnf(c_0_591,negated_conjecture,
( ~ product(e_2,e_1,e_1)
| cycle(e_3,e_3)
| cycle(e_3,e_2)
| cycle(e_3,e_1)
| product(e_3,e_1,e_1)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_205,c_0_175]),c_0_109]),
[final] ).
cnf(c_0_592,negated_conjecture,
( ~ product(e_1,e_4,e_1)
| cycle(e_3,e_3)
| cycle(e_3,e_2)
| cycle(e_3,e_1)
| product(e_3,e_1,e_1)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_205,c_0_187]),c_0_176]),
[final] ).
cnf(c_0_593,negated_conjecture,
( ~ product(e_2,e_1,e_2)
| product(e_1,e_3,e_1)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1)
| product(e_4,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_392,c_0_270]),c_0_75]),
[final] ).
cnf(c_0_594,negated_conjecture,
( ~ product(e_2,e_3,e_2)
| product(e_4,e_3,e_1)
| product(e_3,e_1,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_393,c_0_136]),c_0_141]),
[final] ).
cnf(c_0_595,negated_conjecture,
( ~ product(e_2,e_3,e_3)
| product(e_1,e_3,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_1)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_369,c_0_268]),c_0_109]),
[final] ).
cnf(c_0_596,negated_conjecture,
( ~ product(e_2,e_1,e_1)
| product(e_4,e_1,e_1)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_384,c_0_270]),c_0_141]),
[final] ).
cnf(c_0_597,negated_conjecture,
( ~ product(e_3,e_1,e_2)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_394,c_0_62]),
[final] ).
cnf(c_0_598,negated_conjecture,
( ~ product(e_2,e_3,e_1)
| product(e_4,e_3,e_1)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_384,c_0_136]),c_0_141]),
[final] ).
cnf(c_0_599,negated_conjecture,
( ~ product(e_1,e_3,e_1)
| product(e_4,e_1,e_1)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_384,c_0_285]),c_0_162]),
[final] ).
cnf(c_0_600,negated_conjecture,
( ~ product(X2,X1,e_3)
| ~ product(e_2,X1,X2)
| equalish(X1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_1)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_395,c_0_200]),
[final] ).
cnf(c_0_601,negated_conjecture,
( ~ product(e_1,e_3,e_3)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_1)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_368,c_0_246]),c_0_176]),
[final] ).
cnf(c_0_602,negated_conjecture,
( ~ product(e_2,e_2,e_3)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_1)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_368,c_0_62]),c_0_109]),
[final] ).
cnf(c_0_603,negated_conjecture,
( ~ product(e_2,e_1,e_1)
| product(e_4,e_1,e_1)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_385,c_0_233]),c_0_141]),
[final] ).
cnf(c_0_604,negated_conjecture,
( ~ product(e_2,e_3,e_1)
| product(e_4,e_3,e_1)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_385,c_0_136]),c_0_141]),
[final] ).
cnf(c_0_605,negated_conjecture,
( ~ product(e_1,e_3,e_1)
| product(e_4,e_1,e_1)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_385,c_0_243]),c_0_162]),
[final] ).
cnf(c_0_606,negated_conjecture,
( ~ product(X2,X1,e_2)
| ~ product(e_4,X1,X2)
| equalish(X1,e_1)
| product(e_3,e_1,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_370,c_0_169]),
[final] ).
cnf(c_0_607,negated_conjecture,
( ~ product(e_1,e_2,e_2)
| product(e_3,e_1,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_393,c_0_228]),c_0_162]),
[final] ).
cnf(c_0_608,negated_conjecture,
( ~ product(e_4,e_4,e_2)
| product(e_3,e_1,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_393,c_0_62]),c_0_127]),
[final] ).
cnf(c_0_609,negated_conjecture,
( ~ product(X2,X1,e_3)
| ~ product(e_1,X1,X2)
| equalish(X1,e_2)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_1)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_396,c_0_128]),
[final] ).
cnf(c_0_610,negated_conjecture,
( ~ product(e_2,e_1,e_1)
| product(e_4,e_1,e_1)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_397,c_0_329]),c_0_141]),
[final] ).
cnf(c_0_611,negated_conjecture,
( ~ product(e_4,e_1,e_4)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_398,c_0_132]),c_0_257]),
[final] ).
cnf(c_0_612,negated_conjecture,
( ~ product(e_1,e_1,e_3)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_1)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_369,c_0_62]),c_0_176]),
[final] ).
cnf(c_0_613,negated_conjecture,
( ~ product(X2,X1,e_1)
| ~ product(e_4,X1,X2)
| equalish(X1,e_2)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_399,c_0_206]),
[final] ).
cnf(c_0_614,negated_conjecture,
( ~ product(e_4,e_4,e_1)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_384,c_0_62]),c_0_127]),
[final] ).
cnf(c_0_615,negated_conjecture,
( ~ product(e_4,e_1,e_4)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_400,c_0_52]),c_0_257]),
[final] ).
cnf(c_0_616,negated_conjecture,
( ~ product(X2,X1,e_1)
| ~ product(e_4,X1,X2)
| equalish(X1,e_2)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_399,c_0_154]),
[final] ).
cnf(c_0_617,negated_conjecture,
( ~ product(X2,X1,e_1)
| ~ product(e_4,X1,X2)
| equalish(X1,e_2)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_399,c_0_198]),
[final] ).
cnf(c_0_618,negated_conjecture,
( ~ product(e_3,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_1)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_1)
| product(e_4,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_373,c_0_200]),c_0_124]),
[final] ).
cnf(c_0_619,negated_conjecture,
( ~ product(e_3,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_1)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_1)
| product(e_4,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_373,c_0_128]),c_0_124]),
[final] ).
cnf(c_0_620,negated_conjecture,
( ~ product(e_1,e_2,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_1)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_1)
| product(e_4,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_373,c_0_228]),c_0_69]),
[final] ).
cnf(c_0_621,negated_conjecture,
( ~ product(e_4,e_4,e_1)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_385,c_0_62]),c_0_127]),
[final] ).
cnf(c_0_622,negated_conjecture,
( ~ product(e_1,e_3,e_1)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_397,c_0_305]),c_0_162]),
[final] ).
cnf(c_0_623,negated_conjecture,
( ~ product(e_4,e_4,e_1)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_397,c_0_62]),c_0_127]),
[final] ).
cnf(c_0_624,negated_conjecture,
( ~ product(e_3,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_1)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| product(e_4,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_374,c_0_200]),c_0_124]),
[final] ).
cnf(c_0_625,negated_conjecture,
( ~ product(e_3,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_1)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| product(e_4,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_374,c_0_128]),c_0_124]),
[final] ).
cnf(c_0_626,negated_conjecture,
( ~ product(e_1,e_2,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_1)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| product(e_4,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_374,c_0_228]),c_0_69]),
[final] ).
cnf(c_0_627,negated_conjecture,
( ~ product(e_2,e_1,e_1)
| product(e_3,e_1,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_1)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_205,c_0_169]),c_0_109]),
[final] ).
cnf(c_0_628,negated_conjecture,
( ~ product(X2,X1,e_4)
| ~ product(e_1,X1,X2)
| cycle(e_2,e_1)
| equalish(X1,e_3)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_1)
| product(e_1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_401,c_0_167]),
[final] ).
cnf(c_0_629,negated_conjecture,
( ~ product(e_4,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1)
| product(e_3,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_377,c_0_173]),c_0_127]),
[final] ).
cnf(c_0_630,negated_conjecture,
( ~ product(e_1,e_1,e_4)
| cycle(e_2,e_1)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_1)
| product(e_1,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_378,c_0_62]),c_0_69]),
[final] ).
cnf(c_0_631,negated_conjecture,
( ~ product(X1,e_1,e_3)
| equalish(X1,e_2)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_66,c_0_275]),
[final] ).
cnf(c_0_632,negated_conjecture,
( ~ product(e_2,X1,e_3)
| equalish(X1,e_1)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_61,c_0_275]),
[final] ).
cnf(c_0_633,negated_conjecture,
( ~ product(e_4,e_1,e_1)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_1)
| product(e_3,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_402,c_0_132]),c_0_119]),
[final] ).
cnf(c_0_634,negated_conjecture,
( ~ product(e_2,e_1,X1)
| equalish(X1,e_3)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_345,c_0_275]),
[final] ).
cnf(c_0_635,negated_conjecture,
( ~ greater(e_2,e_3)
| cycle(e_3,e_3)
| cycle(e_3,e_2)
| cycle(e_3,e_1)
| product(e_3,e_1,e_1)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_403,c_0_82]),
[final] ).
cnf(c_0_636,plain,
( ~ greater(e_2,e_3)
| cycle(e_3,e_3)
| cycle(e_3,e_2)
| cycle(e_3,e_1)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| product(e_3,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_404,c_0_82]),
[final] ).
cnf(c_0_637,negated_conjecture,
( ~ product(e_1,e_2,e_4)
| cycle(e_3,e_3)
| cycle(e_3,e_2)
| cycle(e_3,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_405,c_0_62]),
[final] ).
cnf(c_0_638,negated_conjecture,
( ~ product(e_3,e_2,e_1)
| cycle(e_3,e_3)
| cycle(e_3,e_2)
| cycle(e_3,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_406,c_0_62]),
[final] ).
cnf(c_0_639,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_4,X1,X3)
| ~ product(e_1,e_3,X2)
| equalish(X1,e_3)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_1)
| product(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_107,c_0_332]),
[final] ).
cnf(c_0_640,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_4,X3,X1)
| ~ product(e_1,e_3,X2)
| equalish(X1,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_1)
| product(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_185,c_0_332]),
[final] ).
cnf(c_0_641,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_2,X1,X3)
| ~ product(e_1,e_4,X2)
| equalish(X1,e_4)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_107,c_0_226]),
[final] ).
cnf(c_0_642,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_2,X3,X1)
| ~ product(e_1,e_4,X2)
| equalish(X1,e_1)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_185,c_0_226]),
[final] ).
cnf(c_0_643,negated_conjecture,
( ~ product(X2,X1,e_4)
| ~ product(e_3,X1,X2)
| equalish(X1,e_2)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_407,c_0_173]),
[final] ).
cnf(c_0_644,negated_conjecture,
( ~ product(e_2,e_4,e_4)
| product(e_3,e_4,e_1)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_398,c_0_139]),c_0_75]),
[final] ).
cnf(c_0_645,negated_conjecture,
( ~ product(e_3,e_3,e_4)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_398,c_0_62]),c_0_86]),
[final] ).
cnf(c_0_646,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_3,X1,X3)
| ~ product(e_2,e_1,X2)
| equalish(X1,e_1)
| product(e_3,e_1,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_107,c_0_169]),
[final] ).
cnf(c_0_647,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_3,X3,X1)
| ~ product(e_2,e_1,X2)
| equalish(X1,e_2)
| product(e_3,e_1,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_185,c_0_169]),
[final] ).
cnf(c_0_648,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_3,X1,X3)
| ~ product(e_1,e_2,X2)
| equalish(X1,e_2)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_107,c_0_154]),
[final] ).
cnf(c_0_649,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_3,X3,X1)
| ~ product(e_1,e_2,X2)
| equalish(X1,e_1)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_185,c_0_154]),
[final] ).
cnf(c_0_650,negated_conjecture,
( ~ product(X2,X1,e_4)
| ~ product(e_2,X1,X2)
| equalish(X1,e_3)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_408,c_0_182]),
[final] ).
cnf(c_0_651,negated_conjecture,
( ~ product(e_3,e_2,e_3)
| cycle(e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| product(e_4,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_409,c_0_128]),c_0_124]),
[final] ).
cnf(c_0_652,negated_conjecture,
( ~ product(e_3,e_4,e_4)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_1)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_400,c_0_118]),c_0_86]),
[final] ).
cnf(c_0_653,negated_conjecture,
( ~ product(e_2,e_2,e_4)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_400,c_0_62]),c_0_75]),
[final] ).
cnf(c_0_654,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_2,X1,X3)
| ~ product(e_1,e_3,X2)
| equalish(X1,e_3)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_107,c_0_246]),
[final] ).
cnf(c_0_655,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_2,X3,X1)
| ~ product(e_1,e_3,X2)
| equalish(X1,e_1)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_185,c_0_246]),
[final] ).
cnf(c_0_656,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_2,X1,X3)
| ~ product(e_1,e_4,X2)
| equalish(X1,e_4)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_107,c_0_315]),
[final] ).
cnf(c_0_657,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_2,X3,X1)
| ~ product(e_1,e_4,X2)
| equalish(X1,e_1)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_185,c_0_315]),
[final] ).
cnf(c_0_658,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_3,X1,X3)
| ~ product(e_1,e_2,X2)
| equalish(X1,e_2)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_107,c_0_198]),
[final] ).
cnf(c_0_659,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_3,X3,X1)
| ~ product(e_1,e_2,X2)
| equalish(X1,e_1)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_185,c_0_198]),
[final] ).
cnf(c_0_660,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_4,X1,X3)
| ~ product(e_1,e_3,X2)
| equalish(X1,e_3)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_410,c_0_167]),
[final] ).
cnf(c_0_661,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_4,X3,X1)
| ~ product(e_1,e_3,X2)
| equalish(X1,e_1)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_411,c_0_167]),
[final] ).
cnf(c_0_662,plain,
( ~ next(e_2,X1)
| ~ greater(X2,e_0)
| ~ cycle(e_2,X2)
| equalish(e_3,X1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_168,c_0_276]),
[final] ).
cnf(c_0_663,negated_conjecture,
( ~ product(e_1,e_4,e_3)
| product(e_3,e_1,e_1)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_412,c_0_62]),
[final] ).
cnf(c_0_664,negated_conjecture,
( ~ product(X2,X1,e_1)
| ~ product(e_4,X1,X2)
| equalish(X1,e_2)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_399,c_0_265]),
[final] ).
cnf(c_0_665,negated_conjecture,
( ~ product(e_2,e_3,e_4)
| ~ product(e_1,e_3,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_413,c_0_151]),c_0_162]),
[final] ).
cnf(c_0_666,negated_conjecture,
( ~ product(e_2,e_1,e_1)
| product(e_4,e_1,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_413,c_0_280]),c_0_141]),
[final] ).
cnf(c_0_667,negated_conjecture,
( ~ product(e_2,e_3,e_1)
| product(e_4,e_3,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_413,c_0_136]),c_0_141]),
[final] ).
cnf(c_0_668,negated_conjecture,
( ~ product(e_1,e_3,e_1)
| product(e_4,e_1,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_413,c_0_332]),c_0_162]),
[final] ).
cnf(c_0_669,negated_conjecture,
( ~ product(e_4,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_413,c_0_62]),c_0_127]),
[final] ).
cnf(c_0_670,negated_conjecture,
( ~ product(X2,X1,e_2)
| ~ product(e_3,X1,X2)
| cycle(e_3,e_3)
| cycle(e_3,e_2)
| cycle(e_3,e_1)
| equalish(X1,e_4)
| product(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_414,c_0_269]),
[final] ).
cnf(c_0_671,negated_conjecture,
( ~ product(e_2,e_1,e_3)
| product(e_3,e_1,e_1)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_415,c_0_62]),
[final] ).
cnf(c_0_672,negated_conjecture,
( ~ product(e_2,e_1,e_2)
| cycle(e_3,e_3)
| cycle(e_3,e_2)
| cycle(e_3,e_1)
| product(e_3,e_1,e_1)
| product(e_1,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_389,c_0_175]),c_0_75]),
[final] ).
cnf(c_0_673,negated_conjecture,
( ~ product(e_3,e_3,e_2)
| cycle(e_3,e_3)
| cycle(e_3,e_2)
| cycle(e_3,e_1)
| product(e_1,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_389,c_0_62]),c_0_86]),
[final] ).
cnf(c_0_674,negated_conjecture,
( ~ product(e_2,e_4,e_2)
| product(e_3,e_4,e_1)
| product(e_4,e_1,e_1)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_416,c_0_139]),c_0_109]),
[final] ).
cnf(c_0_675,negated_conjecture,
( ~ product(X2,X1,e_2)
| ~ product(e_3,X1,X2)
| equalish(X1,e_1)
| product(e_4,e_1,e_1)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_417,c_0_233]),
[final] ).
cnf(c_0_676,negated_conjecture,
( ~ product(e_1,e_2,e_2)
| product(e_4,e_1,e_1)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_416,c_0_154]),c_0_176]),
[final] ).
cnf(c_0_677,negated_conjecture,
( ~ product(e_3,e_3,e_2)
| product(e_4,e_1,e_1)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_416,c_0_62]),c_0_92]),
[final] ).
cnf(c_0_678,negated_conjecture,
( ~ product(e_1,e_4,e_3)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| product(e_3,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_418,c_0_62]),
[final] ).
cnf(c_0_679,negated_conjecture,
( ~ product(e_2,e_1,X1)
| ~ product(e_3,e_3,X1)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| product(e_3,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_278]),c_0_162]),
[final] ).
cnf(c_0_680,negated_conjecture,
( ~ product(X2,X1,e_1)
| ~ product(e_3,X1,X2)
| equalish(X1,e_4)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_419,c_0_226]),
[final] ).
cnf(c_0_681,negated_conjecture,
( ~ product(e_3,e_3,e_1)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1)
| product(e_3,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_371,c_0_62]),c_0_124]),
[final] ).
cnf(c_0_682,negated_conjecture,
( ~ product(e_3,e_1,e_1)
| cycle(e_2,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_358,c_0_203]),c_0_92]),
[final] ).
cnf(c_0_683,negated_conjecture,
( ~ product(e_1,e_3,e_4)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1)
| product(e_1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_420,c_0_62]),
[final] ).
cnf(c_0_684,negated_conjecture,
( ~ product(e_2,e_3,e_1)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1)
| product(e_1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_421,c_0_62]),
[final] ).
cnf(c_0_685,negated_conjecture,
( ~ product(e_1,e_4,e_3)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_1)
| product(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_422,c_0_62]),
[final] ).
cnf(c_0_686,negated_conjecture,
( ~ product(e_2,e_4,e_1)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_1)
| product(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_423,c_0_62]),
[final] ).
cnf(c_0_687,negated_conjecture,
( ~ product(X2,X1,e_1)
| ~ product(e_4,X1,X2)
| equalish(X1,e_3)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_1)
| product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_424,c_0_211]),
[final] ).
cnf(c_0_688,negated_conjecture,
( ~ product(e_4,e_4,e_1)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_1)
| product(e_4,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_373,c_0_62]),c_0_119]),
[final] ).
cnf(c_0_689,negated_conjecture,
( ~ product(X2,X1,e_2)
| ~ product(e_1,X1,X2)
| equalish(X1,e_3)
| product(e_4,e_3,e_1)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_425,c_0_136]),
[final] ).
cnf(c_0_690,negated_conjecture,
( ~ product(e_3,e_1,e_2)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_426,c_0_62]),
[final] ).
cnf(c_0_691,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_3,X1,X3)
| ~ product(e_1,e_4,X2)
| cycle(e_3,e_3)
| cycle(e_3,e_2)
| cycle(e_3,e_1)
| equalish(X1,e_4)
| product(e_3,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_107,c_0_187]),
[final] ).
cnf(c_0_692,negated_conjecture,
( ~ product(X1,e_4,e_1)
| equalish(X1,e_3)
| product(e_3,e_1,e_1)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_66,c_0_326]),
[final] ).
cnf(c_0_693,negated_conjecture,
( ~ product(e_3,X1,e_1)
| equalish(X1,e_4)
| product(e_3,e_1,e_1)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_61,c_0_326]),
[final] ).
cnf(c_0_694,negated_conjecture,
( ~ product(e_3,e_4,X1)
| equalish(X1,e_1)
| product(e_3,e_1,e_1)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_345,c_0_326]),
[final] ).
cnf(c_0_695,negated_conjecture,
( ~ product(X1,e_1,e_2)
| equalish(X1,e_3)
| product(e_3,e_1,e_1)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_66,c_0_287]),
[final] ).
cnf(c_0_696,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_3,X3,X1)
| ~ product(e_1,e_4,X2)
| cycle(e_3,e_3)
| cycle(e_3,e_2)
| cycle(e_3,e_1)
| equalish(X1,e_1)
| product(e_3,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_185,c_0_187]),
[final] ).
cnf(c_0_697,negated_conjecture,
( ~ product(e_3,X1,e_2)
| equalish(X1,e_1)
| product(e_3,e_1,e_1)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_61,c_0_287]),
[final] ).
cnf(c_0_698,negated_conjecture,
( ~ product(e_3,e_1,X1)
| equalish(X1,e_2)
| product(e_3,e_1,e_1)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_345,c_0_287]),
[final] ).
cnf(c_0_699,negated_conjecture,
( ~ product(e_2,e_4,e_2)
| product(e_1,e_4,e_1)
| product(e_4,e_3,e_1)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_352,c_0_263]),c_0_109]),
[final] ).
cnf(c_0_700,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_3,X1,X3)
| ~ product(e_2,e_1,X2)
| cycle(e_3,e_3)
| cycle(e_3,e_2)
| cycle(e_3,e_1)
| equalish(X1,e_1)
| product(e_3,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_107,c_0_175]),
[final] ).
cnf(c_0_701,negated_conjecture,
( ~ product(X2,X1,e_1)
| ~ product(e_4,X1,X2)
| equalish(X1,e_3)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_424,c_0_246]),
[final] ).
cnf(c_0_702,negated_conjecture,
( ~ product(e_4,e_4,e_1)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| product(e_4,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_374,c_0_62]),c_0_119]),
[final] ).
cnf(c_0_703,negated_conjecture,
( ~ product(e_1,e_1,e_2)
| product(e_4,e_3,e_1)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_352,c_0_62]),c_0_176]),
[final] ).
cnf(c_0_704,negated_conjecture,
( ~ product(X2,X1,e_1)
| ~ product(e_3,X1,X2)
| equalish(X1,e_4)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_1)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_419,c_0_315]),
[final] ).
cnf(c_0_705,negated_conjecture,
( ~ product(e_3,e_1,e_1)
| cycle(e_3,e_3)
| cycle(e_3,e_2)
| cycle(e_3,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_1)
| product(e_4,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_391,c_0_200]),c_0_124]),
[final] ).
cnf(c_0_706,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_3,X3,X1)
| ~ product(e_2,e_1,X2)
| cycle(e_3,e_3)
| cycle(e_3,e_2)
| cycle(e_3,e_1)
| equalish(X1,e_2)
| product(e_3,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_185,c_0_175]),
[final] ).
cnf(c_0_707,negated_conjecture,
( ~ product(e_1,e_2,e_1)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_1)
| product(e_3,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_375,c_0_198]),c_0_69]),
[final] ).
cnf(c_0_708,negated_conjecture,
( ~ product(e_3,e_3,e_1)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_1)
| product(e_3,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_375,c_0_62]),c_0_124]),
[final] ).
cnf(c_0_709,negated_conjecture,
( ~ product(e_3,e_2,e_1)
| cycle(e_3,e_3)
| cycle(e_3,e_2)
| cycle(e_3,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_1)
| product(e_4,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_391,c_0_128]),c_0_124]),
[final] ).
cnf(c_0_710,negated_conjecture,
( ~ product(e_1,e_2,e_1)
| cycle(e_3,e_3)
| cycle(e_3,e_2)
| cycle(e_3,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_1)
| product(e_4,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_391,c_0_228]),c_0_69]),
[final] ).
cnf(c_0_711,negated_conjecture,
( ~ product(e_1,e_3,e_4)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1)
| product(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_427,c_0_62]),
[final] ).
cnf(c_0_712,negated_conjecture,
( ~ product(X1,e_2,e_1)
| cycle(e_3,e_3)
| cycle(e_3,e_2)
| cycle(e_3,e_1)
| equalish(X1,e_4)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_66,c_0_282]),
[final] ).
cnf(c_0_713,negated_conjecture,
( ~ product(e_4,X1,e_1)
| cycle(e_3,e_3)
| cycle(e_3,e_2)
| cycle(e_3,e_1)
| equalish(X1,e_2)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_61,c_0_282]),
[final] ).
cnf(c_0_714,negated_conjecture,
( ~ product(e_4,e_2,X1)
| cycle(e_3,e_3)
| cycle(e_3,e_2)
| cycle(e_3,e_1)
| equalish(X1,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_345,c_0_282]),
[final] ).
cnf(c_0_715,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_4,X1,X3)
| ~ product(e_1,e_3,X2)
| equalish(X1,e_3)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1)
| product(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_107,c_0_285]),
[final] ).
cnf(c_0_716,negated_conjecture,
( ~ next(e_4,X1)
| ~ greater(e_0,e_0)
| equalish(e_2,X1)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1)
| product(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_428,c_0_98]),
[final] ).
cnf(c_0_717,negated_conjecture,
( ~ next(e_4,X1)
| ~ greater(e_0,e_0)
| equalish(e_2,X1)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1)
| product(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_429,c_0_98]),
[final] ).
cnf(c_0_718,negated_conjecture,
( ~ next(e_4,X1)
| ~ greater(e_0,e_0)
| equalish(e_2,X1)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_1)
| product(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_430,c_0_98]),
[final] ).
cnf(c_0_719,negated_conjecture,
( ~ product(X1,e_2,e_3)
| cycle(e_3,e_3)
| cycle(e_3,e_2)
| cycle(e_3,e_1)
| equalish(X1,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_66,c_0_251]),
[final] ).
cnf(c_0_720,negated_conjecture,
( ~ product(e_1,X1,e_3)
| cycle(e_3,e_3)
| cycle(e_3,e_2)
| cycle(e_3,e_1)
| equalish(X1,e_2)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_61,c_0_251]),
[final] ).
cnf(c_0_721,negated_conjecture,
( ~ product(e_1,e_2,X1)
| cycle(e_3,e_3)
| cycle(e_3,e_2)
| cycle(e_3,e_1)
| equalish(X1,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_345,c_0_251]),
[final] ).
cnf(c_0_722,negated_conjecture,
( ~ product(e_4,e_3,e_3)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_431,c_0_167]),c_0_257]),
[final] ).
cnf(c_0_723,negated_conjecture,
( ~ product(X2,X1,e_3)
| ~ product(e_4,X1,X2)
| cycle(e_2,e_1)
| equalish(X1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| product(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_432,c_0_203]),
[final] ).
cnf(c_0_724,negated_conjecture,
( ~ product(e_1,e_3,e_3)
| cycle(e_2,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| product(e_4,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_409,c_0_334]),c_0_69]),
[final] ).
cnf(c_0_725,negated_conjecture,
( ~ product(e_4,e_4,e_3)
| cycle(e_2,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| product(e_4,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_409,c_0_62]),c_0_119]),
[final] ).
cnf(c_0_726,negated_conjecture,
( ~ product(e_1,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_1)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_205,c_0_146]),c_0_176]),
[final] ).
cnf(c_0_727,negated_conjecture,
( ~ product(e_1,e_3,e_4)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1)
| product(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_433,c_0_62]),
[final] ).
cnf(c_0_728,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_4,X1,X3)
| ~ product(e_1,e_3,X2)
| equalish(X1,e_3)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1)
| product(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_107,c_0_243]),
[final] ).
cnf(c_0_729,plain,
( ~ product(X1,e_4,e_1)
| equalish(X1,e_3)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| product(e_3,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_66,c_0_328]),
[final] ).
cnf(c_0_730,plain,
( ~ product(e_3,X1,e_1)
| equalish(X1,e_4)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| product(e_3,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_61,c_0_328]),
[final] ).
cnf(c_0_731,plain,
( ~ product(e_3,e_4,X1)
| equalish(X1,e_1)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| product(e_3,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_345,c_0_328]),
[final] ).
cnf(c_0_732,plain,
( ~ product(X1,e_1,e_2)
| equalish(X1,e_3)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| product(e_3,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_66,c_0_278]),
[final] ).
cnf(c_0_733,negated_conjecture,
( ~ product(e_1,e_3,e_1)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_434,c_0_246]),c_0_162]),
[final] ).
cnf(c_0_734,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_4,X3,X1)
| ~ product(e_1,e_3,X2)
| equalish(X1,e_1)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1)
| product(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_185,c_0_243]),
[final] ).
cnf(c_0_735,plain,
( ~ product(e_3,X1,e_2)
| equalish(X1,e_1)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| product(e_3,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_61,c_0_278]),
[final] ).
cnf(c_0_736,plain,
( ~ product(e_3,e_1,X1)
| equalish(X1,e_2)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| product(e_3,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_345,c_0_278]),
[final] ).
cnf(c_0_737,plain,
( ~ product(X1,e_3,e_1)
| equalish(X1,e_4)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1)
| product(e_1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_66,c_0_283]),
[final] ).
cnf(c_0_738,plain,
( ~ product(e_4,X1,e_1)
| equalish(X1,e_3)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1)
| product(e_1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_61,c_0_283]),
[final] ).
cnf(c_0_739,plain,
( ~ product(e_4,e_3,X1)
| equalish(X1,e_1)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1)
| product(e_1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_345,c_0_283]),
[final] ).
cnf(c_0_740,plain,
( ~ product(X1,e_3,e_2)
| equalish(X1,e_1)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1)
| product(e_1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_66,c_0_268]),
[final] ).
cnf(c_0_741,plain,
( ~ product(e_1,X1,e_2)
| equalish(X1,e_3)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1)
| product(e_1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_61,c_0_268]),
[final] ).
cnf(c_0_742,plain,
( ~ product(e_1,e_3,X1)
| equalish(X1,e_2)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1)
| product(e_1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_345,c_0_268]),
[final] ).
cnf(c_0_743,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_2,X1,X3)
| ~ product(e_1,e_3,X2)
| cycle(e_3,e_3)
| cycle(e_3,e_2)
| cycle(e_3,e_1)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_107,c_0_238]),
[final] ).
cnf(c_0_744,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_2,X3,X1)
| ~ product(e_1,e_3,X2)
| cycle(e_3,e_3)
| cycle(e_3,e_2)
| cycle(e_3,e_1)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_185,c_0_238]),
[final] ).
cnf(c_0_745,negated_conjecture,
( ~ product(X2,X1,e_1)
| ~ product(e_4,X1,X2)
| cycle(e_3,e_3)
| cycle(e_3,e_2)
| cycle(e_3,e_1)
| equalish(X1,e_3)
| product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_424,c_0_238]),
[final] ).
cnf(c_0_746,negated_conjecture,
( ~ product(e_4,e_4,e_1)
| cycle(e_3,e_3)
| cycle(e_3,e_2)
| cycle(e_3,e_1)
| product(e_4,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_391,c_0_62]),c_0_119]),
[final] ).
cnf(c_0_747,negated_conjecture,
( ~ product(e_1,e_3,e_1)
| cycle(e_3,e_3)
| cycle(e_3,e_2)
| cycle(e_3,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_434,c_0_238]),c_0_162]),
[final] ).
cnf(c_0_748,negated_conjecture,
( ~ product(e_1,e_3,e_2)
| cycle(e_3,e_3)
| cycle(e_3,e_2)
| cycle(e_3,e_1) ),
inference(spm,[status(thm)],[c_0_435,c_0_62]),
[final] ).
cnf(c_0_749,negated_conjecture,
( ~ product(e_2,e_3,e_4)
| cycle(e_3,e_3)
| cycle(e_3,e_2)
| cycle(e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_436,c_0_151]),c_0_119]),
[final] ).
cnf(c_0_750,negated_conjecture,
( ~ product(e_2,X1,e_1)
| cycle(e_3,e_3)
| cycle(e_3,e_2)
| cycle(e_3,e_1)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_61,c_0_238]),
[final] ).
cnf(c_0_751,negated_conjecture,
( ~ product(e_2,e_3,X1)
| cycle(e_3,e_3)
| cycle(e_3,e_2)
| cycle(e_3,e_1)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_345,c_0_238]),
[final] ).
cnf(c_0_752,plain,
( ~ product(X1,e_4,e_1)
| equalish(X1,e_3)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_1)
| product(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_66,c_0_279]),
[final] ).
cnf(c_0_753,plain,
( ~ product(e_3,X1,e_1)
| equalish(X1,e_4)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_1)
| product(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_61,c_0_279]),
[final] ).
cnf(c_0_754,plain,
( ~ product(e_3,e_4,X1)
| equalish(X1,e_1)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_1)
| product(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_345,c_0_279]),
[final] ).
cnf(c_0_755,plain,
( ~ product(X1,e_4,e_2)
| equalish(X1,e_1)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_1)
| product(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_66,c_0_263]),
[final] ).
cnf(c_0_756,negated_conjecture,
( ~ product(e_4,e_1,e_1)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_434,c_0_52]),c_0_127]),
[final] ).
cnf(c_0_757,negated_conjecture,
( ~ greater(e_2,e_3)
| cycle(e_3,e_3)
| cycle(e_3,e_2)
| cycle(e_3,e_1)
| product(e_3,e_1,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_437,c_0_82]),
[final] ).
cnf(c_0_758,negated_conjecture,
( ~ product(e_2,e_1,e_4)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1)
| product(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_438,c_0_62]),
[final] ).
cnf(c_0_759,plain,
( ~ product(e_1,X1,e_2)
| equalish(X1,e_4)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_1)
| product(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_61,c_0_263]),
[final] ).
cnf(c_0_760,plain,
( ~ product(e_1,e_4,X1)
| equalish(X1,e_2)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_1)
| product(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_345,c_0_263]),
[final] ).
cnf(c_0_761,plain,
( ~ product(X1,e_1,e_3)
| equalish(X1,e_2)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_66,c_0_276]),
[final] ).
cnf(c_0_762,plain,
( ~ product(e_2,X1,e_3)
| equalish(X1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_61,c_0_276]),
[final] ).
cnf(c_0_763,plain,
( ~ product(e_2,e_1,X1)
| equalish(X1,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_345,c_0_276]),
[final] ).
cnf(c_0_764,negated_conjecture,
( ~ product(X1,e_3,e_1)
| equalish(X1,e_4)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1)
| product(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_66,c_0_285]),
[final] ).
cnf(c_0_765,negated_conjecture,
( ~ product(e_4,X1,e_1)
| equalish(X1,e_3)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1)
| product(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_61,c_0_285]),
[final] ).
cnf(c_0_766,negated_conjecture,
( ~ product(e_4,e_3,X1)
| equalish(X1,e_1)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1)
| product(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_345,c_0_285]),
[final] ).
cnf(c_0_767,negated_conjecture,
( ~ product(X1,e_3,e_1)
| equalish(X1,e_4)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1)
| product(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_66,c_0_243]),
[final] ).
cnf(c_0_768,negated_conjecture,
( ~ product(e_4,X1,e_1)
| equalish(X1,e_3)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1)
| product(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_61,c_0_243]),
[final] ).
cnf(c_0_769,negated_conjecture,
( ~ product(e_4,e_3,X1)
| equalish(X1,e_1)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1)
| product(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_345,c_0_243]),
[final] ).
cnf(c_0_770,negated_conjecture,
( ~ product(X1,e_1,e_2)
| equalish(X1,e_4)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1)
| product(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_66,c_0_270]),
[final] ).
cnf(c_0_771,negated_conjecture,
( ~ product(e_4,X1,e_2)
| equalish(X1,e_1)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1)
| product(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_61,c_0_270]),
[final] ).
cnf(c_0_772,negated_conjecture,
( ~ product(e_4,e_1,X1)
| equalish(X1,e_2)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1)
| product(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_345,c_0_270]),
[final] ).
cnf(c_0_773,plain,
( ~ next(e_3,X1)
| ~ cycle(e_3,e_4)
| cycle(e_3,e_3)
| cycle(e_3,e_2)
| cycle(e_3,e_1)
| equalish(e_2,X1)
| product(e_3,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_439,c_0_440]),
[final] ).
cnf(c_0_774,negated_conjecture,
( ~ product(e_4,e_1,e_1)
| cycle(e_2,e_1)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1)
| product(e_3,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_441,c_0_132]),c_0_119]),
[final] ).
cnf(c_0_775,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_3,X1,X3)
| ~ product(e_1,e_2,X2)
| equalish(X1,e_2)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_107,c_0_265]),
[final] ).
cnf(c_0_776,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_3,X3,X1)
| ~ product(e_1,e_2,X2)
| equalish(X1,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_185,c_0_265]),
[final] ).
cnf(c_0_777,negated_conjecture,
( ~ next(e_4,X1)
| ~ greater(e_0,e_0)
| equalish(e_2,X1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_1)
| product(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_442,c_0_98]),
[final] ).
cnf(c_0_778,negated_conjecture,
( ~ product(e_2,e_3,e_2)
| cycle(e_2,e_1)
| product(e_1,e_3,e_1)
| product(e_3,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_377,c_0_273]),c_0_141]),
[final] ).
cnf(c_0_779,negated_conjecture,
( ~ product(e_1,e_3,e_4)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_1)
| product(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_443,c_0_62]),
[final] ).
cnf(c_0_780,negated_conjecture,
( ~ product(e_2,e_1,e_4)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_1)
| product(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_444,c_0_62]),
[final] ).
cnf(c_0_781,negated_conjecture,
( ~ product(X1,e_3,e_1)
| equalish(X1,e_4)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_1)
| product(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_66,c_0_332]),
[final] ).
cnf(c_0_782,negated_conjecture,
( ~ product(e_4,X1,e_1)
| equalish(X1,e_3)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_1)
| product(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_61,c_0_332]),
[final] ).
cnf(c_0_783,negated_conjecture,
( ~ product(e_4,e_3,X1)
| equalish(X1,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_1)
| product(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_345,c_0_332]),
[final] ).
cnf(c_0_784,negated_conjecture,
( ~ product(e_2,e_1,e_4)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1)
| product(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_445,c_0_62]),
[final] ).
cnf(c_0_785,negated_conjecture,
( ~ product(X1,e_1,e_2)
| equalish(X1,e_4)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_1)
| product(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_66,c_0_280]),
[final] ).
cnf(c_0_786,negated_conjecture,
( ~ product(e_4,X1,e_2)
| equalish(X1,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_1)
| product(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_61,c_0_280]),
[final] ).
cnf(c_0_787,negated_conjecture,
( ~ product(e_4,e_1,X1)
| equalish(X1,e_2)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_1)
| product(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_345,c_0_280]),
[final] ).
cnf(c_0_788,negated_conjecture,
( ~ product(e_1,e_2,e_3)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_446,c_0_62]),
[final] ).
cnf(c_0_789,negated_conjecture,
( ~ product(e_1,e_2,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_1)
| product(e_3,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_402,c_0_265]),c_0_69]),
[final] ).
cnf(c_0_790,negated_conjecture,
( ~ product(X1,e_1,e_2)
| equalish(X1,e_4)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1)
| product(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_66,c_0_233]),
[final] ).
cnf(c_0_791,negated_conjecture,
( ~ product(X1,e_2,e_1)
| equalish(X1,e_3)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_66,c_0_265]),
[final] ).
cnf(c_0_792,negated_conjecture,
( ~ product(e_3,X1,e_1)
| equalish(X1,e_2)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_61,c_0_265]),
[final] ).
cnf(c_0_793,negated_conjecture,
( ~ product(e_3,e_2,X1)
| equalish(X1,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_345,c_0_265]),
[final] ).
cnf(c_0_794,negated_conjecture,
( ~ greater(e_2,e_4)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_1)
| product(e_4,e_1,e_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_280]),c_0_98])]),
[final] ).
cnf(c_0_795,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_4,X1,X3)
| ~ product(e_2,e_1,X2)
| equalish(X1,e_1)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1)
| product(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_107,c_0_233]),
[final] ).
cnf(c_0_796,negated_conjecture,
( ~ product(e_1,e_4,e_3)
| cycle(e_3,e_3)
| cycle(e_3,e_2)
| cycle(e_3,e_1)
| product(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_447,c_0_62]),
[final] ).
cnf(c_0_797,negated_conjecture,
( ~ product(e_2,e_4,e_1)
| cycle(e_3,e_3)
| cycle(e_3,e_2)
| cycle(e_3,e_1)
| product(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_448,c_0_62]),
[final] ).
cnf(c_0_798,plain,
( ~ greater(e_0,X1)
| ~ cycle(e_4,X1)
| cycle(e_1,e_3)
| cycle(e_1,e_2)
| cycle(e_1,e_1)
| cycle(e_3,e_3)
| cycle(e_3,e_2)
| cycle(e_3,e_1) ),
inference(spm,[status(thm)],[c_0_449,c_0_293]),
[final] ).
cnf(c_0_799,negated_conjecture,
( ~ product(e_4,X1,e_2)
| equalish(X1,e_1)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1)
| product(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_61,c_0_233]),
[final] ).
cnf(c_0_800,negated_conjecture,
( ~ product(e_1,e_4,e_3)
| cycle(e_3,e_3)
| cycle(e_3,e_2)
| cycle(e_3,e_1)
| product(e_3,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_450,c_0_62]),
[final] ).
cnf(c_0_801,negated_conjecture,
( ~ product(e_2,e_1,e_3)
| cycle(e_3,e_3)
| cycle(e_3,e_2)
| cycle(e_3,e_1)
| product(e_3,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_451,c_0_62]),
[final] ).
cnf(c_0_802,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_4,X1,X3)
| ~ product(e_1,e_3,X2)
| cycle(e_2,e_1)
| equalish(X1,e_3)
| product(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_107,c_0_334]),
[final] ).
cnf(c_0_803,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_4,X3,X1)
| ~ product(e_1,e_3,X2)
| cycle(e_2,e_1)
| equalish(X1,e_1)
| product(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_185,c_0_334]),
[final] ).
cnf(c_0_804,negated_conjecture,
( ~ product(e_2,e_3,e_4)
| ~ product(e_1,e_3,e_1)
| cycle(e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_452,c_0_151]),c_0_162]),
[final] ).
cnf(c_0_805,negated_conjecture,
( ~ product(e_2,e_1,e_1)
| cycle(e_2,e_1)
| product(e_4,e_1,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_452,c_0_286]),c_0_141]),
[final] ).
cnf(c_0_806,negated_conjecture,
( ~ product(e_2,e_3,e_1)
| cycle(e_2,e_1)
| product(e_4,e_3,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_452,c_0_136]),c_0_141]),
[final] ).
cnf(c_0_807,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_4,X3,X1)
| ~ product(e_2,e_1,X2)
| equalish(X1,e_2)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1)
| product(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_185,c_0_233]),
[final] ).
cnf(c_0_808,negated_conjecture,
( ~ product(e_1,e_3,e_1)
| cycle(e_2,e_1)
| product(e_4,e_1,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_452,c_0_334]),c_0_162]),
[final] ).
cnf(c_0_809,negated_conjecture,
( ~ product(X2,X1,e_1)
| ~ product(e_4,X1,X2)
| cycle(e_2,e_1)
| equalish(X1,e_2)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_399,c_0_271]),
[final] ).
cnf(c_0_810,negated_conjecture,
( ~ product(e_4,e_4,e_1)
| cycle(e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_452,c_0_62]),c_0_127]),
[final] ).
cnf(c_0_811,negated_conjecture,
( ~ product(e_2,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_1)
| product(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_453,c_0_62]),
[final] ).
cnf(c_0_812,negated_conjecture,
( ~ product(e_4,e_1,X1)
| equalish(X1,e_2)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1)
| product(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_345,c_0_233]),
[final] ).
cnf(c_0_813,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_3,X1,X3)
| ~ product(e_1,e_2,X2)
| cycle(e_2,e_1)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_107,c_0_271]),
[final] ).
cnf(c_0_814,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_3,X3,X1)
| ~ product(e_1,e_2,X2)
| cycle(e_2,e_1)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_185,c_0_271]),
[final] ).
cnf(c_0_815,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_2,X1,X3)
| ~ product(e_1,e_4,X2)
| cycle(e_2,e_1)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_107,c_0_219]),
[final] ).
cnf(c_0_816,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_2,X3,X1)
| ~ product(e_1,e_4,X2)
| cycle(e_2,e_1)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_185,c_0_219]),
[final] ).
cnf(c_0_817,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_4,X1,X3)
| ~ product(e_1,e_2,X2)
| equalish(X1,e_2)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_107,c_0_159]),
[final] ).
cnf(c_0_818,negated_conjecture,
( ~ next(e_4,X1)
| ~ cycle(e_4,e_1)
| cycle(e_2,e_1)
| equalish(e_2,X1)
| product(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_454,c_0_180]),
[final] ).
cnf(c_0_819,negated_conjecture,
( ~ next(e_4,X1)
| ~ cycle(e_4,e_2)
| cycle(e_2,e_1)
| equalish(e_2,X1)
| product(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_454,c_0_89]),
[final] ).
cnf(c_0_820,negated_conjecture,
( ~ next(e_4,X1)
| ~ cycle(e_4,e_3)
| cycle(e_2,e_1)
| equalish(e_2,X1)
| product(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_454,c_0_72]),
[final] ).
cnf(c_0_821,negated_conjecture,
( ~ next(e_4,X1)
| ~ cycle(e_4,e_4)
| cycle(e_2,e_1)
| equalish(e_2,X1)
| product(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_454,c_0_440]),
[final] ).
cnf(c_0_822,negated_conjecture,
( ~ product(e_1,e_3,e_4)
| cycle(e_2,e_1)
| product(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_455,c_0_62]),
[final] ).
cnf(c_0_823,negated_conjecture,
( ~ product(e_2,e_1,e_4)
| cycle(e_2,e_1)
| product(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_456,c_0_62]),
[final] ).
cnf(c_0_824,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_4,X3,X1)
| ~ product(e_1,e_2,X2)
| equalish(X1,e_1)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_185,c_0_159]),
[final] ).
cnf(c_0_825,negated_conjecture,
( ~ product(X2,X1,e_1)
| ~ product(e_3,X1,X2)
| cycle(e_2,e_1)
| equalish(X1,e_4)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_419,c_0_219]),
[final] ).
cnf(c_0_826,negated_conjecture,
( ~ product(e_1,e_2,e_1)
| cycle(e_2,e_1)
| product(e_3,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_441,c_0_271]),c_0_69]),
[final] ).
cnf(c_0_827,negated_conjecture,
( ~ product(e_3,e_3,e_1)
| cycle(e_2,e_1)
| product(e_3,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_441,c_0_62]),c_0_124]),
[final] ).
cnf(c_0_828,negated_conjecture,
( ~ product(X1,e_3,e_1)
| cycle(e_2,e_1)
| equalish(X1,e_4)
| product(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_66,c_0_334]),
[final] ).
cnf(c_0_829,negated_conjecture,
( ~ product(e_4,X1,e_1)
| cycle(e_2,e_1)
| equalish(X1,e_3)
| product(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_61,c_0_334]),
[final] ).
cnf(c_0_830,negated_conjecture,
( ~ product(e_4,e_3,X1)
| cycle(e_2,e_1)
| equalish(X1,e_1)
| product(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_345,c_0_334]),
[final] ).
cnf(c_0_831,negated_conjecture,
( ~ product(X1,e_1,e_2)
| cycle(e_2,e_1)
| equalish(X1,e_4)
| product(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_66,c_0_286]),
[final] ).
cnf(c_0_832,negated_conjecture,
( ~ product(e_4,X1,e_2)
| cycle(e_2,e_1)
| equalish(X1,e_1)
| product(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_61,c_0_286]),
[final] ).
cnf(c_0_833,negated_conjecture,
( ~ product(e_4,e_1,X1)
| cycle(e_2,e_1)
| equalish(X1,e_2)
| product(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_345,c_0_286]),
[final] ).
cnf(c_0_834,negated_conjecture,
( ~ product(e_1,e_2,e_3)
| cycle(e_2,e_1) ),
inference(spm,[status(thm)],[c_0_457,c_0_62]),
[final] ).
cnf(c_0_835,negated_conjecture,
( ~ product(X1,e_2,e_1)
| cycle(e_2,e_1)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_66,c_0_271]),
[final] ).
cnf(c_0_836,negated_conjecture,
( ~ product(e_3,X1,e_1)
| cycle(e_2,e_1)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_61,c_0_271]),
[final] ).
cnf(c_0_837,negated_conjecture,
( ~ product(e_3,e_2,X1)
| cycle(e_2,e_1)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_345,c_0_271]),
[final] ).
cnf(c_0_838,negated_conjecture,
( ~ greater(e_2,e_4)
| cycle(e_2,e_1)
| product(e_4,e_1,e_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_286]),c_0_98])]),
[final] ).
cnf(c_0_839,negated_conjecture,
( ~ product(e_1,e_4,e_2)
| cycle(e_2,e_1) ),
inference(spm,[status(thm)],[c_0_458,c_0_62]),
[final] ).
cnf(c_0_840,negated_conjecture,
( ~ product(X1,e_1,e_2)
| equalish(X1,e_4)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_1)
| product(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_66,c_0_329]),
[final] ).
cnf(c_0_841,negated_conjecture,
( ~ product(e_2,e_4,e_3)
| cycle(e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_229,c_0_294]),c_0_124]),
[final] ).
cnf(c_0_842,negated_conjecture,
( ~ product(e_2,X1,e_1)
| cycle(e_2,e_1)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_61,c_0_219]),
[final] ).
cnf(c_0_843,negated_conjecture,
( ~ product(e_2,e_4,X1)
| cycle(e_2,e_1)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_345,c_0_219]),
[final] ).
cnf(c_0_844,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_4,X1,X3)
| ~ product(e_2,e_1,X2)
| equalish(X1,e_1)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_1)
| product(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_107,c_0_329]),
[final] ).
cnf(c_0_845,negated_conjecture,
( ~ product(X2,X1,e_2)
| ~ product(e_4,X1,X2)
| cycle(e_2,e_1)
| equalish(X1,e_3)
| product(e_1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_459,c_0_273]),
[final] ).
cnf(c_0_846,negated_conjecture,
( ~ cycle(e_2,e_0)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_275]),c_0_59])]),
[final] ).
cnf(c_0_847,negated_conjecture,
( ~ product(e_3,e_2,e_2)
| cycle(e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_1)
| product(e_1,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_460,c_0_128]),c_0_86]),
[final] ).
cnf(c_0_848,negated_conjecture,
( ~ product(e_2,e_1,e_2)
| cycle(e_2,e_1)
| product(e_4,e_1,e_1)
| product(e_1,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_460,c_0_461]),c_0_75]),
[final] ).
cnf(c_0_849,negated_conjecture,
( ~ product(e_4,e_4,e_2)
| cycle(e_2,e_1)
| product(e_1,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_460,c_0_62]),c_0_257]),
[final] ).
cnf(c_0_850,negated_conjecture,
( ~ product(e_4,X1,e_2)
| equalish(X1,e_1)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_1)
| product(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_61,c_0_329]),
[final] ).
cnf(c_0_851,plain,
( ~ next(e_2,X1)
| cycle(e_2,e_1)
| equalish(e_3,X1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_462,c_0_134]),
[final] ).
cnf(c_0_852,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_4,X3,X1)
| ~ product(e_2,e_1,X2)
| equalish(X1,e_2)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_1)
| product(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_185,c_0_329]),
[final] ).
cnf(c_0_853,negated_conjecture,
( ~ product(e_3,e_1,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_431,c_0_276]),c_0_86]),
[final] ).
cnf(c_0_854,negated_conjecture,
( ~ product(e_4,e_1,X1)
| equalish(X1,e_2)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_1)
| product(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_345,c_0_329]),
[final] ).
cnf(c_0_855,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_3,X1,X3)
| ~ product(e_1,e_4,X2)
| equalish(X1,e_4)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_107,c_0_146]),
[final] ).
cnf(c_0_856,negated_conjecture,
( ~ product(X2,X1,e_3)
| ~ product(e_2,X1,X2)
| equalish(X1,e_4)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_463,c_0_194]),
[final] ).
cnf(c_0_857,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_3,X3,X1)
| ~ product(e_1,e_4,X2)
| equalish(X1,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_185,c_0_146]),
[final] ).
cnf(c_0_858,negated_conjecture,
( ~ product(e_2,e_2,e_3)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_431,c_0_62]),c_0_75]),
[final] ).
cnf(c_0_859,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_4,X1,X3)
| ~ product(e_1,e_2,X2)
| equalish(X1,e_2)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_107,c_0_228]),
[final] ).
cnf(c_0_860,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_4,X3,X1)
| ~ product(e_1,e_2,X2)
| equalish(X1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_185,c_0_228]),
[final] ).
cnf(c_0_861,negated_conjecture,
( ~ product(e_1,e_3,e_4)
| cycle(e_2,e_1)
| product(e_1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_464,c_0_62]),
[final] ).
cnf(c_0_862,negated_conjecture,
( ~ product(e_2,e_3,e_1)
| cycle(e_2,e_1)
| product(e_1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_465,c_0_62]),
[final] ).
cnf(c_0_863,plain,
( ~ product(X1,e_3,e_1)
| cycle(e_2,e_1)
| equalish(X1,e_4)
| product(e_1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_66,c_0_290]),
[final] ).
cnf(c_0_864,plain,
( ~ product(e_4,X1,e_1)
| cycle(e_2,e_1)
| equalish(X1,e_3)
| product(e_1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_61,c_0_290]),
[final] ).
cnf(c_0_865,plain,
( ~ product(e_4,e_3,X1)
| cycle(e_2,e_1)
| equalish(X1,e_1)
| product(e_1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_345,c_0_290]),
[final] ).
cnf(c_0_866,plain,
( ~ product(X1,e_3,e_2)
| cycle(e_2,e_1)
| equalish(X1,e_1)
| product(e_1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_66,c_0_273]),
[final] ).
cnf(c_0_867,plain,
( ~ product(e_1,X1,e_2)
| cycle(e_2,e_1)
| equalish(X1,e_3)
| product(e_1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_61,c_0_273]),
[final] ).
cnf(c_0_868,plain,
( ~ product(e_1,e_3,X1)
| cycle(e_2,e_1)
| equalish(X1,e_2)
| product(e_1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_345,c_0_273]),
[final] ).
cnf(c_0_869,negated_conjecture,
( ~ product(e_3,e_1,e_2)
| cycle(e_2,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_466,c_0_62]),
[final] ).
cnf(c_0_870,plain,
( ~ product(X1,e_1,e_3)
| cycle(e_2,e_1)
| equalish(X1,e_2)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_66,c_0_203]),
[final] ).
cnf(c_0_871,plain,
( ~ product(e_2,X1,e_3)
| cycle(e_2,e_1)
| equalish(X1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_61,c_0_203]),
[final] ).
cnf(c_0_872,plain,
( ~ product(e_2,e_1,X1)
| cycle(e_2,e_1)
| equalish(X1,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_345,c_0_203]),
[final] ).
cnf(c_0_873,plain,
( ~ cycle(e_2,e_0)
| cycle(e_2,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_203]),c_0_59])]),
[final] ).
cnf(c_0_874,plain,
( ~ next(e_3,X1)
| cycle(e_2,e_1)
| equalish(e_4,X1)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_467,c_0_179]),c_0_180])]),
[final] ).
cnf(c_0_875,negated_conjecture,
( ~ product(e_2,e_4,e_3)
| ~ product(e_1,e_4,e_1)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_205,c_0_294]),c_0_176]),
[final] ).
cnf(c_0_876,negated_conjecture,
( ~ product(X2,X1,e_1)
| ~ product(e_3,X1,X2)
| equalish(X1,e_2)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_468,c_0_159]),
[final] ).
cnf(c_0_877,negated_conjecture,
( ~ product(e_1,e_4,e_2)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_469,c_0_62]),
[final] ).
cnf(c_0_878,negated_conjecture,
( ~ product(e_3,e_3,e_1)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_205,c_0_62]),c_0_92]),
[final] ).
cnf(c_0_879,negated_conjecture,
( ~ product(e_1,e_2,X1)
| ~ product(e_3,e_3,X1)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_206]),c_0_141]),
[final] ).
cnf(c_0_880,negated_conjecture,
( ~ product(e_2,e_1,e_3)
| product(e_3,e_1,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_470,c_0_62]),
[final] ).
cnf(c_0_881,negated_conjecture,
( ~ product(e_1,e_2,e_3)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_471,c_0_62]),
[final] ).
cnf(c_0_882,negated_conjecture,
( ~ product(e_1,e_3,X1)
| ~ product(e_2,e_2,X1)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_211]),c_0_124]),
[final] ).
cnf(c_0_883,negated_conjecture,
( ~ product(e_1,e_3,e_2)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_472,c_0_62]),
[final] ).
cnf(c_0_884,negated_conjecture,
( ~ product(e_1,e_4,e_2)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_473,c_0_62]),
[final] ).
cnf(c_0_885,negated_conjecture,
( ~ product(e_1,e_2,e_3)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_474,c_0_62]),
[final] ).
cnf(c_0_886,negated_conjecture,
( ~ product(X2,X1,e_1)
| ~ product(e_2,X1,X2)
| equalish(X1,e_3)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_475,c_0_305]),
[final] ).
cnf(c_0_887,negated_conjecture,
( ~ product(e_1,e_4,e_1)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_358,c_0_315]),c_0_176]),
[final] ).
cnf(c_0_888,negated_conjecture,
( ~ product(e_2,e_2,e_1)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_358,c_0_62]),c_0_109]),
[final] ).
cnf(c_0_889,negated_conjecture,
( ~ product(X2,X1,e_2)
| ~ product(e_1,X1,X2)
| equalish(X1,e_4)
| product(e_3,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_476,c_0_139]),
[final] ).
cnf(c_0_890,negated_conjecture,
( ~ product(e_1,e_1,e_2)
| product(e_3,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_377,c_0_62]),c_0_162]),
[final] ).
cnf(c_0_891,negated_conjecture,
( ~ product(X2,X1,e_1)
| ~ product(e_3,X1,X2)
| equalish(X1,e_4)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_1)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_419,c_0_214]),
[final] ).
cnf(c_0_892,negated_conjecture,
( ~ product(e_3,e_3,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_1)
| product(e_3,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_402,c_0_62]),c_0_124]),
[final] ).
cnf(c_0_893,negated_conjecture,
( ~ product(e_1,e_2,e_4)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_477,c_0_62]),
[final] ).
cnf(c_0_894,negated_conjecture,
( ~ product(e_4,e_1,e_2)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_478,c_0_62]),
[final] ).
cnf(c_0_895,negated_conjecture,
( ~ product(X1,e_4,e_1)
| equalish(X1,e_2)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_66,c_0_226]),
[final] ).
cnf(c_0_896,negated_conjecture,
( ~ product(e_2,e_4,X1)
| equalish(X1,e_1)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_345,c_0_226]),
[final] ).
cnf(c_0_897,plain,
( ~ product(X1,e_2,e_1)
| equalish(X1,e_3)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_66,c_0_206]),
[final] ).
cnf(c_0_898,plain,
( ~ product(e_3,X1,e_1)
| equalish(X1,e_2)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_61,c_0_206]),
[final] ).
cnf(c_0_899,plain,
( ~ product(e_3,e_2,X1)
| equalish(X1,e_1)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_345,c_0_206]),
[final] ).
cnf(c_0_900,negated_conjecture,
( ~ product(e_2,e_4,e_3)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_479,c_0_206]),c_0_109]),
[final] ).
cnf(c_0_901,negated_conjecture,
( ~ product(e_4,e_1,e_3)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_480,c_0_62]),
[final] ).
cnf(c_0_902,negated_conjecture,
( ~ product(X1,e_1,e_2)
| equalish(X1,e_3)
| product(e_3,e_1,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_66,c_0_169]),
[final] ).
cnf(c_0_903,negated_conjecture,
( ~ product(e_3,X1,e_2)
| equalish(X1,e_1)
| product(e_3,e_1,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_61,c_0_169]),
[final] ).
cnf(c_0_904,negated_conjecture,
( ~ product(e_3,e_1,X1)
| equalish(X1,e_2)
| product(e_3,e_1,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_345,c_0_169]),
[final] ).
cnf(c_0_905,plain,
( ~ product(X1,e_2,e_1)
| equalish(X1,e_3)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_66,c_0_154]),
[final] ).
cnf(c_0_906,plain,
( ~ product(e_3,X1,e_1)
| equalish(X1,e_2)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_61,c_0_154]),
[final] ).
cnf(c_0_907,plain,
( ~ product(e_3,e_2,X1)
| equalish(X1,e_1)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_345,c_0_154]),
[final] ).
cnf(c_0_908,negated_conjecture,
( ~ product(e_2,e_4,e_3)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_479,c_0_154]),c_0_109]),
[final] ).
cnf(c_0_909,negated_conjecture,
( ~ product(e_4,e_2,e_1)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_481,c_0_62]),
[final] ).
cnf(c_0_910,plain,
( ~ product(X1,e_3,e_1)
| equalish(X1,e_2)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_66,c_0_211]),
[final] ).
cnf(c_0_911,plain,
( ~ product(e_2,e_3,X1)
| equalish(X1,e_1)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_345,c_0_211]),
[final] ).
cnf(c_0_912,plain,
( ~ cycle(e_2,e_0)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_276]),c_0_59])]),
[final] ).
cnf(c_0_913,negated_conjecture,
( ~ product(e_2,e_3,e_4)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_482,c_0_151]),c_0_119]),
[final] ).
cnf(c_0_914,plain,
( ~ product(e_2,e_3,X1)
| equalish(X1,e_1)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_345,c_0_246]),
[final] ).
cnf(c_0_915,negated_conjecture,
( ~ product(X1,e_4,e_1)
| equalish(X1,e_2)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_66,c_0_315]),
[final] ).
cnf(c_0_916,negated_conjecture,
( ~ product(e_2,X1,e_1)
| equalish(X1,e_4)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_61,c_0_315]),
[final] ).
cnf(c_0_917,negated_conjecture,
( ~ product(e_2,e_4,X1)
| equalish(X1,e_1)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_345,c_0_315]),
[final] ).
cnf(c_0_918,negated_conjecture,
( ~ product(X1,e_2,e_1)
| equalish(X1,e_3)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_66,c_0_198]),
[final] ).
cnf(c_0_919,negated_conjecture,
( ~ product(e_3,X1,e_1)
| equalish(X1,e_2)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_61,c_0_198]),
[final] ).
cnf(c_0_920,negated_conjecture,
( ~ product(e_3,e_2,X1)
| equalish(X1,e_1)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_345,c_0_198]),
[final] ).
cnf(c_0_921,negated_conjecture,
( ~ product(e_2,e_4,e_3)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_479,c_0_198]),c_0_109]),
[final] ).
cnf(c_0_922,negated_conjecture,
( ~ product(e_4,e_2,e_3)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_483,c_0_62]),
[final] ).
cnf(c_0_923,negated_conjecture,
( ~ product(e_2,e_3,e_4)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_242,c_0_151]),
[final] ).
cnf(c_0_924,negated_conjecture,
( ~ product(e_1,e_3,e_4)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_484,c_0_62]),
[final] ).
cnf(c_0_925,negated_conjecture,
( ~ product(e_4,X1,e_1)
| equalish(X1,e_3)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_61,c_0_305]),
[final] ).
cnf(c_0_926,negated_conjecture,
( ~ product(e_4,e_3,X1)
| equalish(X1,e_1)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_345,c_0_305]),
[final] ).
cnf(c_0_927,plain,
( ~ product(X1,e_4,e_1)
| cycle(e_3,e_3)
| cycle(e_3,e_2)
| cycle(e_3,e_1)
| equalish(X1,e_3)
| product(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_66,c_0_284]),
[final] ).
cnf(c_0_928,plain,
( ~ product(e_3,X1,e_1)
| cycle(e_3,e_3)
| cycle(e_3,e_2)
| cycle(e_3,e_1)
| equalish(X1,e_4)
| product(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_61,c_0_284]),
[final] ).
cnf(c_0_929,plain,
( ~ product(e_3,e_4,X1)
| cycle(e_3,e_3)
| cycle(e_3,e_2)
| cycle(e_3,e_1)
| equalish(X1,e_1)
| product(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_345,c_0_284]),
[final] ).
cnf(c_0_930,plain,
( ~ product(X1,e_4,e_2)
| cycle(e_3,e_3)
| cycle(e_3,e_2)
| cycle(e_3,e_1)
| equalish(X1,e_1)
| product(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_66,c_0_269]),
[final] ).
cnf(c_0_931,plain,
( ~ product(e_1,X1,e_2)
| cycle(e_3,e_3)
| cycle(e_3,e_2)
| cycle(e_3,e_1)
| equalish(X1,e_4)
| product(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_61,c_0_269]),
[final] ).
cnf(c_0_932,plain,
( ~ product(e_1,e_4,X1)
| cycle(e_3,e_3)
| cycle(e_3,e_2)
| cycle(e_3,e_1)
| equalish(X1,e_2)
| product(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_345,c_0_269]),
[final] ).
cnf(c_0_933,plain,
( ~ product(X1,e_4,e_1)
| cycle(e_3,e_3)
| cycle(e_3,e_2)
| cycle(e_3,e_1)
| equalish(X1,e_3)
| product(e_3,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_66,c_0_187]),
[final] ).
cnf(c_0_934,plain,
( ~ product(e_3,e_4,X1)
| cycle(e_3,e_3)
| cycle(e_3,e_2)
| cycle(e_3,e_1)
| equalish(X1,e_1)
| product(e_3,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_345,c_0_187]),
[final] ).
cnf(c_0_935,plain,
( ~ product(X1,e_1,e_2)
| cycle(e_3,e_3)
| cycle(e_3,e_2)
| cycle(e_3,e_1)
| equalish(X1,e_3)
| product(e_3,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_66,c_0_175]),
[final] ).
cnf(c_0_936,plain,
( ~ product(e_3,X1,e_2)
| cycle(e_3,e_3)
| cycle(e_3,e_2)
| cycle(e_3,e_1)
| equalish(X1,e_1)
| product(e_3,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_61,c_0_175]),
[final] ).
cnf(c_0_937,plain,
( ~ product(e_3,e_1,X1)
| cycle(e_3,e_3)
| cycle(e_3,e_2)
| cycle(e_3,e_1)
| equalish(X1,e_2)
| product(e_3,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_345,c_0_175]),
[final] ).
cnf(c_0_938,negated_conjecture,
( ~ product(X1,e_2,e_1)
| equalish(X1,e_4)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_66,c_0_159]),
[final] ).
cnf(c_0_939,negated_conjecture,
( ~ product(e_4,X1,e_1)
| equalish(X1,e_2)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_61,c_0_159]),
[final] ).
cnf(c_0_940,negated_conjecture,
( ~ product(e_4,e_2,X1)
| equalish(X1,e_1)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_345,c_0_159]),
[final] ).
cnf(c_0_941,plain,
( ~ product(X1,e_1,e_4)
| equalish(X1,e_2)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_66,c_0_52]),
[final] ).
cnf(c_0_942,plain,
( ~ product(e_2,X1,e_4)
| equalish(X1,e_1)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_61,c_0_52]),
[final] ).
cnf(c_0_943,plain,
( ~ product(e_2,e_1,X1)
| equalish(X1,e_4)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_345,c_0_52]),
[final] ).
cnf(c_0_944,plain,
( ~ product(e_3,X1,e_4)
| equalish(X1,e_1)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_61,c_0_132]),
[final] ).
cnf(c_0_945,plain,
( ~ product(e_3,e_1,X1)
| equalish(X1,e_4)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_345,c_0_132]),
[final] ).
cnf(c_0_946,plain,
( ~ product(X1,e_2,e_4)
| equalish(X1,e_1)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_66,c_0_173]),
[final] ).
cnf(c_0_947,plain,
( ~ product(e_1,X1,e_4)
| equalish(X1,e_2)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_61,c_0_173]),
[final] ).
cnf(c_0_948,plain,
( ~ product(e_1,e_2,X1)
| equalish(X1,e_4)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_345,c_0_173]),
[final] ).
cnf(c_0_949,plain,
( ~ product(e_3,e_2,X1)
| equalish(X1,e_4)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_345,c_0_121]),
[final] ).
cnf(c_0_950,plain,
( ~ product(X1,e_3,e_4)
| equalish(X1,e_1)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_66,c_0_182]),
[final] ).
cnf(c_0_951,plain,
( ~ next(e_0,X1)
| cycle(e_2,e_1)
| equalish(e_1,X1) ),
inference(spm,[status(thm)],[c_0_485,c_0_98]),
[final] ).
cnf(c_0_952,plain,
( ~ product(e_1,e_3,X1)
| equalish(X1,e_4)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_345,c_0_182]),
[final] ).
cnf(c_0_953,plain,
( ~ next(e_4,X1)
| ~ greater(e_1,X2)
| ~ cycle(X1,X2)
| cycle(e_2,e_1) ),
inference(spm,[status(thm)],[c_0_486,c_0_179]),
[final] ).
cnf(c_0_954,plain,
( ~ next(e_1,X1)
| cycle(e_2,e_1)
| equalish(e_2,X1) ),
inference(spm,[status(thm)],[c_0_148,c_0_179]),
[final] ).
cnf(c_0_955,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_3,X1,X3)
| ~ product(e_1,e_4,X2)
| ~ product(e_2,e_4,e_3)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_107,c_0_294]),
[final] ).
cnf(c_0_956,plain,
( ~ cycle(e_3,X1)
| cycle(e_2,e_1)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_487,c_0_179]),
[final] ).
cnf(c_0_957,plain,
( ~ next(e_4,X1)
| ~ cycle(X1,e_0)
| cycle(e_2,e_1) ),
inference(spm,[status(thm)],[c_0_488,c_0_89]),
[final] ).
cnf(c_0_958,plain,
( ~ next(e_4,X1)
| ~ cycle(X1,e_1)
| cycle(e_2,e_1) ),
inference(spm,[status(thm)],[c_0_488,c_0_489]),
[final] ).
cnf(c_0_959,plain,
( ~ cycle(e_2,X1)
| cycle(e_2,e_1)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_487,c_0_134]),
[final] ).
cnf(c_0_960,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_3,X3,X1)
| ~ product(e_1,e_4,X2)
| ~ product(e_2,e_4,e_3)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_185,c_0_294]),
[final] ).
cnf(c_0_961,plain,
( ~ greater(X1,X2)
| ~ cycle(e_2,X2)
| ~ cycle(e_0,X1)
| cycle(e_1,e_3)
| cycle(e_1,e_2)
| cycle(e_1,e_1) ),
inference(spm,[status(thm)],[c_0_490,c_0_123]),
[final] ).
cnf(c_0_962,plain,
( ~ greater(X1,X2)
| ~ cycle(e_4,X2)
| ~ cycle(e_0,X1)
| cycle(e_3,e_3)
| cycle(e_3,e_2)
| cycle(e_3,e_1) ),
inference(spm,[status(thm)],[c_0_491,c_0_91]),
[final] ).
cnf(c_0_963,negated_conjecture,
( ~ product(X2,X1,e_1)
| ~ product(e_2,X1,X2)
| equalish(X1,e_4)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_492,c_0_146]),
[final] ).
cnf(c_0_964,negated_conjecture,
( ~ product(X1,e_3,e_1)
| equalish(X1,e_4)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_493,c_0_167]),
[final] ).
cnf(c_0_965,plain,
( ~ greater(e_2,e_3)
| ~ cycle(e_3,e_0)
| cycle(e_3,e_3)
| cycle(e_3,e_2)
| cycle(e_3,e_1)
| product(e_3,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_51,c_0_175]),
[final] ).
cnf(c_0_966,plain,
( ~ product(e_2,e_3,X1)
| equalish(X1,e_4)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_345,c_0_167]),
[final] ).
cnf(c_0_967,negated_conjecture,
( ~ product(e_2,e_2,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_434,c_0_62]),c_0_141]),
[final] ).
cnf(c_0_968,plain,
( ~ next(e_4,X1)
| ~ greater(e_0,e_0)
| equalish(e_3,X1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_494,c_0_98]),
[final] ).
cnf(c_0_969,negated_conjecture,
( ~ greater(e_2,e_4)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1)
| product(e_4,e_1,e_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_270]),c_0_98])]),
[final] ).
cnf(c_0_970,negated_conjecture,
( ~ greater(e_2,e_4)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1)
| product(e_4,e_1,e_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_233]),c_0_98])]),
[final] ).
cnf(c_0_971,plain,
( ~ next(e_1,X1)
| ~ greater(e_0,e_0)
| cycle(e_1,e_3)
| cycle(e_1,e_2)
| cycle(e_1,e_1)
| equalish(e_1,X1) ),
inference(spm,[status(thm)],[c_0_495,c_0_293]),
[final] ).
cnf(c_0_972,negated_conjecture,
( ~ product(e_1,e_4,X1)
| ~ product(e_2,e_2,X1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_214]),c_0_119]),
[final] ).
cnf(c_0_973,negated_conjecture,
( ~ greater(e_2,e_4)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_1)
| product(e_4,e_1,e_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_329]),c_0_98])]),
[final] ).
cnf(c_0_974,negated_conjecture,
( ~ product(e_1,e_4,e_3)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_496,c_0_62]),
[final] ).
cnf(c_0_975,negated_conjecture,
( ~ product(e_3,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_497,c_0_62]),
[final] ).
cnf(c_0_976,negated_conjecture,
( ~ product(e_3,e_4,X1)
| equalish(X1,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_345,c_0_146]),
[final] ).
cnf(c_0_977,plain,
( ~ next(e_4,X1)
| ~ greater(e_0,X2)
| ~ cycle(X1,X2)
| cycle(e_1,e_3)
| cycle(e_1,e_2)
| cycle(e_1,e_1) ),
inference(spm,[status(thm)],[c_0_498,c_0_293]),
[final] ).
cnf(c_0_978,plain,
( ~ product(e_4,e_2,X1)
| equalish(X1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_345,c_0_228]),
[final] ).
cnf(c_0_979,negated_conjecture,
( ~ product(e_2,e_4,e_3)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_224,c_0_294]),c_0_124]),
[final] ).
cnf(c_0_980,plain,
( ~ next(e_4,X1)
| ~ greater(e_0,X2)
| ~ cycle(X1,X2)
| cycle(e_3,e_3)
| cycle(e_3,e_2)
| cycle(e_3,e_1) ),
inference(spm,[status(thm)],[c_0_486,c_0_82]),
[final] ).
cnf(c_0_981,plain,
( ~ product(e_2,e_4,X1)
| equalish(X1,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_345,c_0_214]),
[final] ).
cnf(c_0_982,plain,
( ~ product(X1,e_1,e_3)
| equalish(X1,e_4)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_66,c_0_200]),
[final] ).
cnf(c_0_983,plain,
( ~ product(e_4,X1,e_3)
| equalish(X1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_61,c_0_200]),
[final] ).
cnf(c_0_984,plain,
( ~ product(e_4,e_1,X1)
| equalish(X1,e_3)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_345,c_0_200]),
[final] ).
cnf(c_0_985,plain,
( ~ product(e_4,e_2,X1)
| equalish(X1,e_3)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_345,c_0_128]),
[final] ).
cnf(c_0_986,negated_conjecture,
( ~ product(X1,e_4,e_1)
| equalish(X1,e_3)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_499,c_0_118]),
[final] ).
cnf(c_0_987,plain,
( ~ product(X1,e_4,e_3)
| equalish(X1,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_66,c_0_194]),
[final] ).
cnf(c_0_988,plain,
( ~ product(e_1,X1,e_3)
| equalish(X1,e_4)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_61,c_0_194]),
[final] ).
cnf(c_0_989,plain,
( ~ product(e_1,e_4,X1)
| equalish(X1,e_3)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_345,c_0_194]),
[final] ).
cnf(c_0_990,plain,
( ~ product(e_2,e_4,X1)
| equalish(X1,e_3)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_345,c_0_118]),
[final] ).
cnf(c_0_991,plain,
( ~ greater(e_3,e_4)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_200]),c_0_98])]),
[final] ).
cnf(c_0_992,negated_conjecture,
( ~ product(e_4,e_3,X1)
| ~ product(e_2,e_3,e_4)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_345,c_0_151]),
[final] ).
cnf(c_0_993,plain,
( ~ product(e_4,e_3,X1)
| equalish(X1,e_2)
| product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_345,c_0_136]),
[final] ).
cnf(c_0_994,negated_conjecture,
( ~ product(e_3,e_4,X1)
| ~ product(e_2,e_4,e_3)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_345,c_0_294]),
[final] ).
cnf(c_0_995,plain,
( ~ cycle(e_1,X1)
| cycle(e_1,e_3)
| cycle(e_1,e_2)
| cycle(e_1,e_1)
| equalish(X1,e_0) ),
inference(spm,[status(thm)],[c_0_487,c_0_293]),
[final] ).
cnf(c_0_996,plain,
( ~ product(e_3,e_4,X1)
| equalish(X1,e_2)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_345,c_0_139]),
[final] ).
cnf(c_0_997,plain,
( ~ next(X2,X3)
| ~ next(X4,X1)
| ~ cycle(X3,X4)
| ~ cycle(X2,e_4)
| equalish(e_4,X1) ),
inference(spm,[status(thm)],[c_0_71,c_0_440]),
[final] ).
cnf(c_0_998,plain,
( ~ cycle(e_3,X1)
| cycle(e_3,e_3)
| cycle(e_3,e_2)
| cycle(e_3,e_1)
| equalish(X1,e_0) ),
inference(spm,[status(thm)],[c_0_487,c_0_82]),
[final] ).
cnf(c_0_999,plain,
( ~ greater(e_1,e_1)
| cycle(e_1,e_3)
| cycle(e_1,e_2)
| cycle(e_1,e_1) ),
inference(spm,[status(thm)],[c_0_500,c_0_293]),
[final] ).
cnf(c_0_1000,plain,
( ~ next(e_4,X2)
| ~ greater(X1,X3)
| ~ cycle(X2,X3)
| ~ cycle(e_0,X1) ),
inference(spm,[status(thm)],[c_0_292,c_0_440]),
[final] ).
cnf(c_0_1001,negated_conjecture,
( ~ product(X1,X3,X4)
| ~ product(X2,X2,X4)
| ~ product(X2,X3,X1)
| equalish(X1,X2) ),
inference(spm,[status(thm)],[c_0_185,c_0_62]),
[final] ).
cnf(c_0_1002,plain,
( ~ cycle(e_4,X1)
| equalish(X1,e_0) ),
inference(spm,[status(thm)],[c_0_487,c_0_98]),
[final] ).
cnf(c_0_1003,plain,
equalish(X1,X1),
inference(spm,[status(thm)],[c_0_501,c_0_62]),
[final] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP123-3.004 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.36 % Computer : n006.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Sun Sep 20 19:58:28 UTC 2026
% 0.04/0.37 % CPUTime :
% 0.04/0.37 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.04/0.41 Running first-order theorem proving
% 0.04/0.41 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.02/0.70 % Version: 3.5.1
% 2.02/0.70 % Preprocessing class: FSMSSMSSSSSNFFN.
% 2.02/0.70 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.02/0.70 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 2.02/0.70 % Starting new_bool_3 with 300s (1) cores
% 2.02/0.70 % Starting new_bool_1 with 300s (1) cores
% 2.02/0.70 % Starting sh5l with 300s (1) cores
% 2.02/0.70 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 1135039 completed with status 1
% 2.02/0.70 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 2.02/0.70 % Preprocessing class: FSMSSMSSSSSNFFN.
% 2.02/0.70 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.02/0.70 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 2.02/0.70 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 2.02/0.70 % No SInE strategy applied
% 2.02/0.70 % Search class: FGHNF-FFMM00-SFFFFFNN
% 2.02/0.70 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 2.02/0.70 % Starting SubtermCWHack with 136s (1) cores
% 2.02/0.70 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 2.02/0.70 % Starting H----_011_C07_F1_PI_AE_OS_R8_SP_S1U with 136s (1) cores
% 2.02/0.70 % Starting G----_425_C05_02_F1_SE_CS_SP_PS_RG_S04AI with 136s (1) cores
% 2.02/0.70 % Starting G-E--_208_B07--C_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 2.02/0.70 % H----_011_C07_F1_PI_AE_OS_R8_SP_S1U with pid 1135046 completed with status 1
% 2.02/0.70 % Result found by H----_011_C07_F1_PI_AE_OS_R8_SP_S1U
% 2.02/0.70 % Preprocessing class: FSMSSMSSSSSNFFN.
% 2.02/0.70 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.02/0.70 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 2.02/0.70 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 2.02/0.70 % No SInE strategy applied
% 2.02/0.70 % Search class: FGHNF-FFMM00-SFFFFFNN
% 2.02/0.70 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 2.02/0.70 % Starting SubtermCWHack with 136s (1) cores
% 2.02/0.70 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 2.02/0.70 % Starting H----_011_C07_F1_PI_AE_OS_R8_SP_S1U with 136s (1) cores
% 2.02/0.70 % Preprocessing time : 0.001 s
% 2.02/0.70
% 2.02/0.70 % No proof found!
% 2.02/0.70 % SZS status Satisfiable
% 2.02/0.70 % SZS output start Saturation
% See solution above
% 2.02/0.71 % Parsed axioms : 44
% 2.02/0.71 % Removed by relevancy pruning/SinE : 0
% 2.02/0.71 % Initial clauses : 44
% 2.02/0.71 % Removed in clause preprocessing : 0
% 2.02/0.71 % Initial clauses in saturation : 44
% 2.02/0.71 % Processed clauses : 2826
% 2.02/0.71 % ...of these trivial : 0
% 2.02/0.71 % ...subsumed : 1817
% 2.02/0.71 % ...remaining for further processing : 1009
% 2.02/0.71 % Other redundant clauses eliminated : 0
% 2.02/0.71 % Clauses deleted for lack of memory : 0
% 2.02/0.71 % Backward-subsumed : 148
% 2.02/0.71 % Backward-rewritten : 0
% 2.02/0.71 % Generated clauses : 5365
% 2.02/0.71 % ...of the previous two non-redundant : 3661
% 2.02/0.71 % ...aggressively subsumed : 0
% 2.02/0.71 % Contextual simplify-reflections : 0
% 2.02/0.71 % Paramodulations : 5365
% 2.02/0.71 % Factorizations : 0
% 2.02/0.71 % NegExts : 0
% 2.02/0.71 % Equation resolutions : 0
% 2.02/0.71 % Disequality decompositions : 0
% 2.02/0.71 % Total rewrite steps : 1534
% 2.02/0.71 % ...of those cached : 1518
% 2.02/0.71 % Propositional unsat checks : 0
% 2.02/0.71 % Propositional check models : 0
% 2.02/0.71 % Propositional check unsatisfiable : 0
% 2.02/0.71 % Propositional clauses : 0
% 2.02/0.71 % Propositional clauses after purity: 0
% 2.02/0.71 % Propositional unsat core size : 0
% 2.02/0.71 % Propositional preprocessing time : 0.000
% 2.02/0.71 % Propositional encoding time : 0.000
% 2.02/0.71 % Propositional solver time : 0.000
% 2.02/0.71 % Success case prop preproc time : 0.000
% 2.02/0.71 % Success case prop encoding time : 0.000
% 2.02/0.71 % Success case prop solver time : 0.000
% 2.02/0.71 % Current number of processed clauses : 861
% 2.02/0.71 % Positive orientable unit clauses : 21
% 2.02/0.71 % Positive unorientable unit clauses: 0
% 2.02/0.71 % Negative unit clauses : 12
% 2.02/0.71 % Non-unit-clauses : 828
% 2.02/0.71 % Current number of unprocessed clauses: 0
% 2.02/0.71 % ...number of literals in the above : 0
% 2.02/0.71 % Current number of archived formulas : 0
% 2.02/0.71 % Current number of archived clauses : 148
% 2.02/0.71 % Clause-clause subsumption calls (NU) : 148707
% 2.02/0.71 % Rec. Clause-clause subsumption calls : 4837
% 2.02/0.71 % Non-unit clause-clause subsumptions : 1965
% 2.02/0.71 % Unit Clause-clause subsumption calls : 77
% 2.02/0.71 % Rewrite failures with RHS unbound : 0
% 2.02/0.71 % BW rewrite match attempts : 13
% 2.02/0.71 % BW rewrite match successes : 0
% 2.02/0.71 % Condensation attempts : 0
% 2.02/0.71 % Condensation successes : 0
% 2.02/0.71 % Termbank termtop insertions : 138146
% 2.02/0.71 % Search garbage collected termcells : 107
% 2.02/0.71
% 2.02/0.71 % -------------------------------------------------
% 2.02/0.71 % User time : 0.258 s
% 2.02/0.71 % System time : 0.010 s
% 2.02/0.71 % Total time : 0.268 s
% 2.02/0.71 % Maximum resident set size: 3916 pages
% 2.02/0.71
% 2.02/0.71 % -------------------------------------------------
% 2.02/0.71 % User time : 1.292 s
% 2.02/0.71 % System time : 0.043 s
% 2.02/0.71 % Total time : 1.335 s
% 2.02/0.71 % Maximum resident set size: 5120 pages
% 2.02/0.71 % E exiting
%------------------------------------------------------------------------------