%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : GRP126-2.005 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:38:02 PM UTC 2026
% Result : Satisfiable 22.35s 3.84s
% Output : Saturation 22.35s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named c_0_46ERROR: Could not build tree for root c_0_55ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(c_0_49,plain,
( ~ group_element(X2)
| ~ group_element(X1)
| product(X1,X2,e_5)
| product(X1,X2,e_4)
| product(X1,X2,e_3)
| product(X1,X2,e_2)
| product(X1,X2,e_1) ),
c_0_46,
[final] ).
cnf(c_0_50,axiom,
group_element(e_1),
element_1,
[final] ).
cnf(c_0_51,plain,
~ equalish(e_1,e_5),
c_0_47,
[final] ).
cnf(c_0_52,plain,
( ~ product(X4,X2,X3)
| ~ product(X1,X2,X3)
| equalish(X1,X4) ),
c_0_48,
[final] ).
cnf(c_0_55,plain,
( ~ group_element(X1)
| product(X1,e_1,e_1)
| product(X1,e_1,e_2)
| product(X1,e_1,e_3)
| product(X1,e_1,e_4)
| product(X1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_49,c_0_50]),
[final] ).
cnf(c_0_56,axiom,
group_element(e_5),
element_5,
[final] ).
cnf(c_0_57,plain,
( ~ product(e_1,X1,X2)
| ~ product(e_5,X1,X2) ),
inference(spm,[status(thm)],[c_0_51,c_0_52]),
[final] ).
cnf(c_0_58,axiom,
product(X1,X1,X1),
product_idempotence,
[final] ).
cnf(c_0_59,plain,
( ~ greater(X2,X3)
| ~ next(X1,X3)
| ~ product(X1,e_1,X2) ),
c_0_53,
[final] ).
cnf(c_0_60,axiom,
greater(e_5,e_4),
e_5_greater_e_4,
[final] ).
cnf(c_0_63,plain,
( ~ product(X1,X4,X3)
| ~ product(X1,X2,X3)
| equalish(X2,X4) ),
c_0_54,
[final] ).
cnf(c_0_65,plain,
~ product(e_5,e_1,e_1),
inference(spm,[status(thm)],[c_0_57,c_0_58]),
[final] ).
cnf(c_0_66,axiom,
group_element(e_3),
element_3,
[final] ).
cnf(c_0_67,plain,
( ~ next(X1,e_4)
| ~ product(X1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_59,c_0_60]),
[final] ).
cnf(c_0_68,axiom,
next(e_3,e_4),
e_3_then_e_4,
[final] ).
cnf(c_0_69,plain,
~ equalish(e_1,e_3),
c_0_61,
[final] ).
cnf(c_0_70,axiom,
greater(e_5,e_3),
e_5_greater_e_3,
[final] ).
cnf(c_0_71,plain,
~ equalish(e_3,e_5),
c_0_62,
[final] ).
cnf(c_0_72,plain,
( ~ product(X1,e_1,X2)
| ~ product(X1,e_5,X2) ),
inference(spm,[status(thm)],[c_0_51,c_0_63]),
[final] ).
cnf(c_0_75,plain,
~ product(e_3,e_1,e_5),
inference(spm,[status(thm)],[c_0_67,c_0_68]),
[final] ).
cnf(c_0_76,plain,
( ~ product(e_1,X1,X2)
| ~ product(e_3,X1,X2) ),
inference(spm,[status(thm)],[c_0_69,c_0_52]),
[final] ).
cnf(c_0_77,axiom,
group_element(e_2),
element_2,
[final] ).
cnf(c_0_78,plain,
( ~ next(X1,e_3)
| ~ product(X1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_59,c_0_70]),
[final] ).
cnf(c_0_79,axiom,
next(e_2,e_3),
e_2_then_e_3,
[final] ).
cnf(c_0_80,axiom,
greater(e_4,e_3),
e_4_greater_e_3,
[final] ).
cnf(c_0_83,plain,
( ~ product(e_3,X1,X2)
| ~ product(e_5,X1,X2) ),
inference(spm,[status(thm)],[c_0_71,c_0_52]),
[final] ).
cnf(c_0_84,plain,
( product(e_5,e_1,e_4)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_58])]),
[final] ).
cnf(c_0_86,plain,
~ product(e_3,e_1,e_1),
inference(spm,[status(thm)],[c_0_76,c_0_58]),
[final] ).
cnf(c_0_89,plain,
~ product(e_2,e_1,e_5),
inference(spm,[status(thm)],[c_0_78,c_0_79]),
[final] ).
cnf(c_0_90,plain,
( ~ next(X1,e_3)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_59,c_0_80]),
[final] ).
cnf(c_0_91,plain,
~ equalish(e_2,e_1),
c_0_81,
[final] ).
cnf(c_0_93,plain,
~ equalish(e_2,e_5),
c_0_82,
[final] ).
cnf(c_0_96,plain,
~ equalish(e_2,e_3),
c_0_87,
[final] ).
cnf(c_0_98,plain,
~ product(e_2,e_1,e_4),
inference(spm,[status(thm)],[c_0_90,c_0_79]),
[final] ).
cnf(c_0_99,plain,
( ~ product(e_2,X1,X2)
| ~ product(e_1,X1,X2) ),
inference(spm,[status(thm)],[c_0_91,c_0_52]),
[final] ).
cnf(c_0_100,plain,
~ equalish(e_1,e_4),
c_0_92,
[final] ).
cnf(c_0_102,plain,
( ~ product(e_2,X1,X2)
| ~ product(e_5,X1,X2) ),
inference(spm,[status(thm)],[c_0_93,c_0_52]),
[final] ).
cnf(c_0_104,plain,
( ~ product(e_2,X1,X2)
| ~ product(e_3,X1,X2) ),
inference(spm,[status(thm)],[c_0_96,c_0_52]),
[final] ).
cnf(c_0_106,plain,
~ product(e_2,e_1,e_1),
inference(spm,[status(thm)],[c_0_99,c_0_58]),
[final] ).
cnf(c_0_109,axiom,
group_element(e_4),
element_4,
[final] ).
cnf(c_0_110,plain,
( ~ product(e_1,X1,X2)
| ~ product(e_4,X1,X2) ),
inference(spm,[status(thm)],[c_0_100,c_0_52]),
[final] ).
cnf(c_0_111,plain,
~ equalish(e_4,e_5),
c_0_101,
[final] ).
cnf(c_0_114,plain,
~ equalish(e_3,e_4),
c_0_107,
[final] ).
cnf(c_0_115,plain,
~ equalish(e_2,e_4),
c_0_108,
[final] ).
cnf(c_0_117,plain,
~ product(e_4,e_1,e_1),
inference(spm,[status(thm)],[c_0_110,c_0_58]),
[final] ).
cnf(c_0_118,plain,
( ~ product(e_4,X1,X2)
| ~ product(e_5,X1,X2) ),
inference(spm,[status(thm)],[c_0_111,c_0_52]),
[final] ).
cnf(c_0_120,plain,
( ~ product(e_3,X1,X2)
| ~ product(e_4,X1,X2) ),
inference(spm,[status(thm)],[c_0_114,c_0_52]),
[final] ).
cnf(c_0_121,plain,
( ~ product(e_2,X1,X2)
| ~ product(e_4,X1,X2) ),
inference(spm,[status(thm)],[c_0_115,c_0_52]),
[final] ).
cnf(c_0_123,plain,
( ~ group_element(X1)
| product(X1,e_5,e_1)
| product(X1,e_5,e_2)
| product(X1,e_5,e_3)
| product(X1,e_5,e_4)
| product(X1,e_5,e_5) ),
inference(spm,[status(thm)],[c_0_49,c_0_56]),
[final] ).
cnf(c_0_124,plain,
( ~ product(X1,e_2,X2)
| ~ product(X1,e_1,X2) ),
inference(spm,[status(thm)],[c_0_91,c_0_63]),
[final] ).
cnf(c_0_128,plain,
~ product(e_4,e_1,e_2),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_119]),c_0_120]),c_0_121]),
[final] ).
cnf(c_0_129,plain,
( ~ group_element(X1)
| product(X1,e_4,e_1)
| product(X1,e_4,e_2)
| product(X1,e_4,e_3)
| product(X1,e_4,e_4)
| product(X1,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_49,c_0_109]),
[final] ).
cnf(c_0_130,plain,
( ~ product(X1,e_1,X2)
| ~ product(X1,e_4,X2) ),
inference(spm,[status(thm)],[c_0_100,c_0_63]),
[final] ).
cnf(c_0_131,plain,
( ~ product(X1,X2,X4)
| ~ product(X1,X2,X3)
| equalish(X3,X4) ),
c_0_122,
[final] ).
cnf(c_0_133,plain,
~ product(e_2,e_5,e_3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_125]),c_0_58])]),
[final] ).
cnf(c_0_134,negated_conjecture,
( ~ product(X2,X1,X4)
| ~ product(X1,X2,X3)
| product(X3,X4,X2) ),
c_0_126,
[final] ).
cnf(c_0_137,plain,
~ product(e_1,e_4,e_1),
inference(spm,[status(thm)],[c_0_130,c_0_58]),
[final] ).
cnf(c_0_138,plain,
( ~ product(X1,X2,e_4)
| ~ product(X1,X2,e_5) ),
inference(spm,[status(thm)],[c_0_111,c_0_131]),
[final] ).
cnf(c_0_140,plain,
~ product(e_2,e_5,e_5),
inference(spm,[status(thm)],[c_0_102,c_0_58]),
[final] ).
cnf(c_0_141,plain,
( ~ group_element(X1)
| product(X1,e_2,e_1)
| product(X1,e_2,e_2)
| product(X1,e_2,e_3)
| product(X1,e_2,e_4)
| product(X1,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_49,c_0_77]),
[final] ).
cnf(c_0_142,plain,
( ~ product(X1,e_2,X2)
| ~ product(X1,e_5,X2) ),
inference(spm,[status(thm)],[c_0_93,c_0_63]),
[final] ).
cnf(c_0_145,plain,
~ product(e_5,e_5,e_4),
inference(spm,[status(thm)],[c_0_138,c_0_58]),
[final] ).
cnf(c_0_148,plain,
~ product(e_5,e_2,e_5),
inference(spm,[status(thm)],[c_0_142,c_0_58]),
[final] ).
cnf(c_0_149,plain,
( ~ product(X1,X2,e_2)
| ~ product(X1,X2,e_1) ),
inference(spm,[status(thm)],[c_0_91,c_0_131]),
[final] ).
cnf(c_0_153,plain,
~ product(e_1,e_1,e_2),
inference(spm,[status(thm)],[c_0_149,c_0_58]),
[final] ).
cnf(c_0_159,plain,
~ product(e_1,e_5,e_1),
inference(spm,[status(thm)],[c_0_72,c_0_58]),
[final] ).
cnf(c_0_169,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_2,e_5,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_113]),c_0_167]),
[final] ).
cnf(c_0_171,negated_conjecture,
( ~ product(e_1,e_5,X1)
| product(X1,e_4,e_5)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_134,c_0_84]),
[final] ).
cnf(c_0_172,negated_conjecture,
( product(e_1,e_5,e_3)
| product(e_1,e_5,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_169]),c_0_170]),
[final] ).
cnf(c_0_173,negated_conjecture,
( product(e_5,e_1,e_3)
| product(e_5,e_1,e_2)
| product(e_3,e_4,e_5)
| product(e_1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_171,c_0_172]),
[final] ).
cnf(c_0_175,plain,
~ product(e_1,e_2,e_1),
inference(spm,[status(thm)],[c_0_124,c_0_58]),
[final] ).
cnf(c_0_182,plain,
( ~ product(X1,e_1,X2)
| ~ product(X1,e_3,X2) ),
inference(spm,[status(thm)],[c_0_69,c_0_63]),
[final] ).
cnf(c_0_186,plain,
( ~ product(X1,X2,e_2)
| ~ product(X1,X2,e_3) ),
inference(spm,[status(thm)],[c_0_96,c_0_131]),
[final] ).
cnf(c_0_188,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_3,e_1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_183]),c_0_58])]),
[final] ).
cnf(c_0_190,plain,
~ product(e_3,e_3,e_2),
inference(spm,[status(thm)],[c_0_186,c_0_58]),
[final] ).
cnf(c_0_195,plain,
( ~ group_element(X1)
| product(X1,e_3,e_1)
| product(X1,e_3,e_2)
| product(X1,e_3,e_3)
| product(X1,e_3,e_4)
| product(X1,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_49,c_0_66]),
[final] ).
cnf(c_0_197,plain,
~ product(e_2,e_4,e_3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_191]),c_0_58])]),
[final] ).
cnf(c_0_198,plain,
~ product(e_2,e_4,e_4),
inference(spm,[status(thm)],[c_0_121,c_0_58]),
[final] ).
cnf(c_0_204,plain,
~ product(e_1,e_3,e_1),
inference(spm,[status(thm)],[c_0_182,c_0_58]),
[final] ).
cnf(c_0_205,plain,
( ~ product(X1,e_3,X2)
| ~ product(X1,e_4,X2) ),
inference(spm,[status(thm)],[c_0_114,c_0_63]),
[final] ).
cnf(c_0_208,plain,
~ product(e_2,e_3,e_3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_199]),c_0_58])]),
[final] ).
cnf(c_0_210,plain,
( ~ product(X1,X2,e_1)
| ~ product(X1,X2,e_4) ),
inference(spm,[status(thm)],[c_0_100,c_0_131]),
[final] ).
cnf(c_0_214,plain,
( ~ product(X1,X2,e_3)
| ~ product(X1,X2,e_4) ),
inference(spm,[status(thm)],[c_0_114,c_0_131]),
[final] ).
cnf(c_0_215,negated_conjecture,
( ~ product(e_5,e_1,X1)
| product(X1,e_3,e_1)
| product(e_1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_134,c_0_172]),
[final] ).
cnf(c_0_219,plain,
( ~ product(X1,e_3,X2)
| ~ product(X1,e_5,X2) ),
inference(spm,[status(thm)],[c_0_71,c_0_63]),
[final] ).
cnf(c_0_220,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_2,e_4,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_210,c_0_211]),c_0_169]),
[final] ).
cnf(c_0_222,plain,
~ product(e_4,e_4,e_3),
inference(spm,[status(thm)],[c_0_214,c_0_58]),
[final] ).
cnf(c_0_223,negated_conjecture,
( product(e_1,e_5,e_2)
| product(e_4,e_3,e_1)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_215,c_0_84]),
[final] ).
cnf(c_0_225,negated_conjecture,
~ product(e_2,e_3,e_2),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_218]),c_0_121]),c_0_182]),
[final] ).
cnf(c_0_226,negated_conjecture,
( ~ product(e_2,e_3,e_4)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_219,c_0_220]),
[final] ).
cnf(c_0_230,plain,
( ~ product(X1,e_2,X2)
| ~ product(X1,e_4,X2) ),
inference(spm,[status(thm)],[c_0_115,c_0_63]),
[final] ).
cnf(c_0_232,plain,
( ~ product(X1,e_2,X2)
| ~ product(X1,e_3,X2) ),
inference(spm,[status(thm)],[c_0_96,c_0_63]),
[final] ).
cnf(c_0_241,plain,
~ product(e_2,e_2,e_5),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_230,c_0_236]),c_0_58])]),
[final] ).
cnf(c_0_247,negated_conjecture,
( ~ product(e_5,e_1,X1)
| product(X1,e_2,e_1)
| product(e_3,e_4,e_5)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_134,c_0_173]),
[final] ).
cnf(c_0_248,negated_conjecture,
~ product(e_2,e_1,e_2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_245]),c_0_58])]),
[final] ).
cnf(c_0_250,plain,
( ~ product(X1,e_4,X2)
| ~ product(X1,e_5,X2) ),
inference(spm,[status(thm)],[c_0_111,c_0_63]),
[final] ).
cnf(c_0_252,plain,
product(e_2,e_1,e_3),
inference(sr,[status(thm)],[c_0_113,c_0_248]),
[final] ).
cnf(c_0_253,negated_conjecture,
( product(e_5,e_3,e_2)
| product(e_4,e_3,e_2) ),
inference(sr,[status(thm)],[c_0_218,c_0_248]),
[final] ).
cnf(c_0_256,axiom,
greater(e_4,e_2),
e_4_greater_e_2,
[final] ).
cnf(c_0_257,negated_conjecture,
( ~ product(e_1,e_4,e_2)
| product(e_3,e_4,e_5)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_250,c_0_173]),
[final] ).
cnf(c_0_259,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_3,e_4,e_5)
| product(e_5,e_1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_251]),c_0_252])]),
[final] ).
cnf(c_0_260,negated_conjecture,
( ~ product(e_3,e_5,X1)
| product(X1,e_2,e_5)
| product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_134,c_0_253]),
[final] ).
cnf(c_0_264,plain,
( ~ next(X1,e_2)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_59,c_0_256]),
[final] ).
cnf(c_0_265,axiom,
next(e_1,e_2),
e_1_then_e_2,
[final] ).
cnf(c_0_268,negated_conjecture,
( ~ product(e_3,e_1,e_2)
| product(e_3,e_4,e_5)
| product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_83,c_0_259]),
[final] ).
cnf(c_0_269,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_3,e_2,e_5) ),
inference(sr,[status(thm)],[c_0_244,c_0_248]),
[final] ).
cnf(c_0_272,plain,
~ product(e_4,e_2,e_4),
inference(spm,[status(thm)],[c_0_230,c_0_58]),
[final] ).
cnf(c_0_273,plain,
~ product(e_1,e_1,e_4),
inference(spm,[status(thm)],[c_0_264,c_0_265]),
[final] ).
cnf(c_0_277,plain,
~ product(e_3,e_2,e_3),
inference(spm,[status(thm)],[c_0_232,c_0_58]),
[final] ).
cnf(c_0_278,plain,
( ~ product(X1,X2,e_2)
| ~ product(X1,X2,e_5) ),
inference(spm,[status(thm)],[c_0_93,c_0_131]),
[final] ).
cnf(c_0_280,plain,
( ~ product(X1,X2,e_1)
| ~ product(X1,X2,e_5) ),
inference(spm,[status(thm)],[c_0_51,c_0_131]),
[final] ).
cnf(c_0_283,negated_conjecture,
( product(e_4,e_3,e_2)
| product(e_3,e_1,e_2) ),
inference(sr,[status(thm)],[c_0_274,c_0_248]),
[final] ).
cnf(c_0_286,negated_conjecture,
~ product(e_3,e_2,e_2),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_269]),c_0_278]),
[final] ).
cnf(c_0_290,plain,
( ~ product(X1,X2,e_2)
| ~ product(X1,X2,e_4) ),
inference(spm,[status(thm)],[c_0_115,c_0_131]),
[final] ).
cnf(c_0_296,negated_conjecture,
~ product(e_3,e_2,e_1),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_287]),c_0_288]),
[final] ).
cnf(c_0_298,plain,
~ product(e_5,e_3,e_5),
inference(spm,[status(thm)],[c_0_219,c_0_58]),
[final] ).
cnf(c_0_299,negated_conjecture,
( ~ product(e_5,e_2,X1)
| product(X1,e_4,e_2)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_134,c_0_220]),
[final] ).
cnf(c_0_301,plain,
~ product(e_4,e_4,e_2),
inference(spm,[status(thm)],[c_0_290,c_0_58]),
[final] ).
cnf(c_0_304,plain,
( product(e_3,e_2,e_4)
| product(e_3,e_2,e_5) ),
inference(sr,[status(thm)],[c_0_295,c_0_296]),
[final] ).
cnf(c_0_308,negated_conjecture,
( ~ product(e_1,e_4,e_2)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_2)
| product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_250,c_0_223]),
[final] ).
cnf(c_0_309,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_3,e_2,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_303]),c_0_304]),
[final] ).
cnf(c_0_313,negated_conjecture,
( ~ product(e_4,e_3,X1)
| product(X1,e_5,e_3)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_134,c_0_309]),
[final] ).
cnf(c_0_314,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_4,e_3,e_2) ),
inference(sr,[status(thm)],[c_0_202,c_0_248]),
[final] ).
cnf(c_0_315,negated_conjecture,
( ~ product(e_5,e_3,X1)
| product(X1,e_4,e_3)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_134,c_0_169]),
[final] ).
cnf(c_0_319,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_3,e_5,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_313,c_0_314]),c_0_133]),
[final] ).
cnf(c_0_324,negated_conjecture,
( ~ product(e_3,e_5,e_4)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_210,c_0_319]),
[final] ).
cnf(c_0_329,negated_conjecture,
( ~ product(e_1,e_4,e_3)
| product(e_1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_250,c_0_172]),
[final] ).
cnf(c_0_332,plain,
~ product(e_4,e_5,e_5),
inference(spm,[status(thm)],[c_0_118,c_0_58]),
[final] ).
cnf(c_0_335,plain,
( ~ product(X1,X2,e_3)
| ~ product(X1,X2,e_5) ),
inference(spm,[status(thm)],[c_0_71,c_0_131]),
[final] ).
cnf(c_0_336,negated_conjecture,
( ~ product(e_5,e_1,X1)
| product(X1,e_2,e_1)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_2)
| product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_223]),
[final] ).
cnf(c_0_338,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_1,e_4,e_3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_327]),c_0_58])]),
[final] ).
cnf(c_0_342,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_4,e_3,e_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_330]),c_0_252])]),
[final] ).
cnf(c_0_343,plain,
( product(e_3,e_1,e_2)
| product(e_5,e_1,e_2) ),
inference(sr,[status(thm)],[c_0_119,c_0_248]),
[final] ).
cnf(c_0_350,negated_conjecture,
~ product(e_1,e_2,e_3),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_230,c_0_338]),c_0_339]),
[final] ).
cnf(c_0_351,negated_conjecture,
~ product(e_1,e_2,e_2),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_340,c_0_338]),c_0_230]),
[final] ).
cnf(c_0_354,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_1,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_313,c_0_342]),
[final] ).
cnf(c_0_355,negated_conjecture,
( ~ product(e_1,e_5,X1)
| product(X1,e_2,e_5)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_134,c_0_343]),
[final] ).
cnf(c_0_358,plain,
~ product(e_5,e_4,e_5),
inference(spm,[status(thm)],[c_0_250,c_0_58]),
[final] ).
cnf(c_0_359,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_1,e_4,e_3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_315,c_0_345]),c_0_346]),c_0_347]),
[final] ).
cnf(c_0_360,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_5,e_1,e_2)
| product(e_4,e_3,e_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_348]),c_0_252])]),
[final] ).
cnf(c_0_363,plain,
( product(e_1,e_2,e_5)
| product(e_1,e_2,e_4) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_177,c_0_350]),c_0_351]),
[final] ).
cnf(c_0_364,negated_conjecture,
~ product(e_1,e_3,e_2),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_352,c_0_338]),c_0_205]),
[final] ).
cnf(c_0_365,negated_conjecture,
~ product(e_1,e_3,e_3),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_205,c_0_338]),c_0_353]),
[final] ).
cnf(c_0_367,negated_conjecture,
( ~ product(e_4,e_5,e_3)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_110,c_0_354]),
[final] ).
cnf(c_0_368,negated_conjecture,
( ~ product(e_1,e_4,e_3)
| product(e_3,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_355,c_0_329]),c_0_241]),
[final] ).
cnf(c_0_371,negated_conjecture,
( ~ product(e_1,e_4,e_3)
| ~ product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_110,c_0_329]),
[final] ).
cnf(c_0_373,negated_conjecture,
( ~ product(e_4,e_1,X1)
| product(X1,e_3,e_1)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_134,c_0_359]),
[final] ).
cnf(c_0_374,negated_conjecture,
( ~ product(e_3,e_1,e_2)
| product(e_4,e_3,e_1)
| product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_83,c_0_360]),
[final] ).
cnf(c_0_375,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_2,e_3,e_1) ),
inference(sr,[status(thm)],[c_0_361,c_0_248]),
[final] ).
cnf(c_0_376,plain,
( product(e_1,e_3,e_4)
| product(e_1,e_2,e_4) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_362,c_0_363]),c_0_364]),c_0_365]),
[final] ).
cnf(c_0_377,negated_conjecture,
( ~ product(e_3,e_4,X1)
| product(X1,e_1,e_4)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_134,c_0_342]),
[final] ).
cnf(c_0_381,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_368,c_0_338]),
[final] ).
cnf(c_0_383,negated_conjecture,
~ product(e_2,e_5,e_2),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_370,c_0_359]),c_0_290]),
[final] ).
cnf(c_0_384,negated_conjecture,
( ~ product(e_4,e_5,e_2)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_371,c_0_359]),
[final] ).
cnf(c_0_386,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_5,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_373,c_0_334]),
[final] ).
cnf(c_0_387,negated_conjecture,
( ~ product(e_5,e_4,e_3)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_57,c_0_359]),
[final] ).
cnf(c_0_388,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_3,e_1)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_374,c_0_375]),
[final] ).
cnf(c_0_389,negated_conjecture,
( ~ product(e_1,e_2,X1)
| product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_134,c_0_252]),
[final] ).
cnf(c_0_390,plain,
( ~ product(e_2,e_3,e_4)
| product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_99,c_0_376]),
[final] ).
cnf(c_0_391,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_5,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_377,c_0_309]),
[final] ).
cnf(c_0_393,plain,
( ~ product(e_3,e_2,e_5)
| product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_76,c_0_363]),
[final] ).
cnf(c_0_394,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_4,e_5,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_250,c_0_379]),c_0_58])]),
[final] ).
cnf(c_0_398,plain,
( product(e_4,e_5,e_3)
| product(e_2,e_5,e_4) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_382,c_0_383]),c_0_384]),
[final] ).
cnf(c_0_400,negated_conjecture,
( ~ product(e_4,e_3,e_2)
| product(e_2,e_3,e_1)
| product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_149,c_0_388]),
[final] ).
cnf(c_0_401,negated_conjecture,
( ~ product(e_2,e_3,e_4)
| product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_389,c_0_390]),
[final] ).
cnf(c_0_404,negated_conjecture,
~ product(e_4,e_2,e_5),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_313,c_0_392]),c_0_133]),c_0_120]),
[final] ).
cnf(c_0_405,negated_conjecture,
( ~ product(e_3,e_2,e_5)
| product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_389,c_0_393]),
[final] ).
cnf(c_0_408,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_3,e_4,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_396]),c_0_397]),
[final] ).
cnf(c_0_411,negated_conjecture,
( ~ product(e_5,e_4,X1)
| product(X1,e_3,e_4)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_134,c_0_398]),
[final] ).
cnf(c_0_412,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_5,e_4,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_399]),c_0_58])]),
[final] ).
cnf(c_0_414,negated_conjecture,
( ~ product(e_2,e_3,e_4)
| product(e_4,e_2,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_400,c_0_401]),c_0_210]),
[final] ).
cnf(c_0_415,plain,
~ product(e_5,e_2,e_4),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_393]),c_0_402]),
[final] ).
cnf(c_0_417,negated_conjecture,
~ product(e_4,e_2,e_2),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_232,c_0_405]),c_0_406]),
[final] ).
cnf(c_0_419,plain,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_1) ),
inference(sr,[status(thm)],[c_0_217,c_0_225]),
[final] ).
cnf(c_0_421,negated_conjecture,
( ~ product(e_2,e_4,e_5)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_104,c_0_309]),
[final] ).
cnf(c_0_422,negated_conjecture,
( ~ product(e_3,e_2,e_5)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_230,c_0_408]),
[final] ).
cnf(c_0_423,negated_conjecture,
( ~ product(e_2,e_3,e_1)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_121,c_0_342]),
[final] ).
cnf(c_0_425,axiom,
greater(e_5,e_2),
e_5_greater_e_2,
[final] ).
cnf(c_0_426,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_411,c_0_412]),
[final] ).
cnf(c_0_428,plain,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_3) ),
inference(sr,[status(thm)],[c_0_416,c_0_417]),
[final] ).
cnf(c_0_429,plain,
( ~ product(X1,X2,e_1)
| ~ product(X1,X2,e_3) ),
inference(spm,[status(thm)],[c_0_69,c_0_131]),
[final] ).
cnf(c_0_431,plain,
( product(e_1,e_3,e_5)
| product(e_1,e_3,e_4) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_213,c_0_365]),c_0_364]),
[final] ).
cnf(c_0_432,negated_conjecture,
( ~ product(e_2,e_4,e_5)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_420,c_0_421]),
[final] ).
cnf(c_0_433,negated_conjecture,
( ~ product(e_2,e_3,e_1)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_422,c_0_423]),
[final] ).
cnf(c_0_436,negated_conjecture,
( ~ product(e_1,e_4,e_3)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_250,c_0_354]),
[final] ).
cnf(c_0_437,negated_conjecture,
( ~ product(e_4,e_5,X1)
| product(X1,e_2,e_5)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_134,c_0_412]),
[final] ).
cnf(c_0_438,plain,
( ~ next(X1,e_2)
| ~ product(X1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_59,c_0_425]),
[final] ).
cnf(c_0_439,negated_conjecture,
( ~ product(e_5,e_2,X1)
| product(X1,e_4,e_2)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_134,c_0_426]),
[final] ).
cnf(c_0_441,negated_conjecture,
~ product(e_3,e_4,e_2),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_381]),c_0_130]),
[final] ).
cnf(c_0_442,negated_conjecture,
( ~ product(e_2,e_4,X1)
| product(X1,e_1,e_4)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_134,c_0_428]),
[final] ).
cnf(c_0_443,negated_conjecture,
( ~ product(e_2,e_3,e_4)
| ~ product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_429,c_0_414]),
[final] ).
cnf(c_0_445,plain,
( ~ product(e_2,e_3,e_5)
| product(e_1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_99,c_0_431]),
[final] ).
cnf(c_0_446,negated_conjecture,
( ~ product(e_1,e_3,X1)
| product(X1,e_2,e_3)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_375]),
[final] ).
cnf(c_0_447,negated_conjecture,
( ~ product(e_2,e_3,e_1)
| product(e_1,e_2,e_4) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_432,c_0_433]),c_0_350]),c_0_351]),
[final] ).
cnf(c_0_450,plain,
~ product(e_3,e_5,e_5),
inference(spm,[status(thm)],[c_0_83,c_0_58]),
[final] ).
cnf(c_0_453,negated_conjecture,
( ~ product(e_1,e_3,X1)
| product(X1,e_2,e_3)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_134,c_0_188]),
[final] ).
cnf(c_0_456,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_437,c_0_398]),
[final] ).
cnf(c_0_459,plain,
~ product(e_1,e_1,e_5),
inference(spm,[status(thm)],[c_0_438,c_0_265]),
[final] ).
cnf(c_0_460,negated_conjecture,
( ~ product(e_5,e_3,e_4)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_182,c_0_391]),
[final] ).
cnf(c_0_462,negated_conjecture,
( ~ product(e_2,e_3,e_4)
| product(e_5,e_1,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_442,c_0_226]),c_0_443]),
[final] ).
cnf(c_0_463,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_2,e_3,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_444,c_0_408]),c_0_415]),
[final] ).
cnf(c_0_464,plain,
( ~ product(e_2,e_3,e_5)
| ~ product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_232,c_0_445]),
[final] ).
cnf(c_0_465,negated_conjecture,
( product(e_4,e_2,e_3)
| product(e_1,e_2,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_446,c_0_376]),c_0_447]),
[final] ).
cnf(c_0_469,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_1,e_4,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_452]),c_0_58])]),
[final] ).
cnf(c_0_471,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_2,e_5,e_4) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_420,c_0_456]),c_0_457]),c_0_458]),
[final] ).
cnf(c_0_475,negated_conjecture,
( ~ product(e_4,e_2,X1)
| product(X1,e_5,e_2)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_134,c_0_463]),
[final] ).
cnf(c_0_476,negated_conjecture,
( ~ product(e_2,e_3,e_5)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_464,c_0_465]),
[final] ).
cnf(c_0_479,negated_conjecture,
( ~ product(e_5,e_4,e_4)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_130,c_0_391]),
[final] ).
cnf(c_0_480,negated_conjecture,
( ~ product(e_5,e_4,e_2)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_57,c_0_469]),
[final] ).
cnf(c_0_481,negated_conjecture,
( product(e_5,e_2,e_3)
| product(e_2,e_5,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_232,c_0_470]),c_0_471]),
[final] ).
cnf(c_0_482,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_5,e_3,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_472]),c_0_58])]),
[final] ).
cnf(c_0_483,negated_conjecture,
( ~ product(e_4,e_5,e_3)
| product(e_1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_110,c_0_172]),
[final] ).
cnf(c_0_484,negated_conjecture,
~ product(e_4,e_1,e_4),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_473]),c_0_474]),
[final] ).
cnf(c_0_486,negated_conjecture,
( product(e_1,e_5,e_2)
| product(e_4,e_2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_475,c_0_428]),c_0_476]),
[final] ).
cnf(c_0_488,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_3,e_1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_477]),c_0_58])]),
[final] ).
cnf(c_0_489,negated_conjecture,
( ~ product(e_3,e_1,X1)
| product(X1,e_5,e_1)
| product(e_1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_134,c_0_431]),
[final] ).
cnf(c_0_490,negated_conjecture,
( product(e_5,e_4,e_3)
| product(e_3,e_2,e_5) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_478,c_0_394]),c_0_89]),c_0_479]),c_0_480]),
[final] ).
cnf(c_0_492,negated_conjecture,
( ~ product(e_2,e_5,X1)
| product(X1,e_3,e_5)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_134,c_0_481]),
[final] ).
cnf(c_0_493,plain,
( product(e_2,e_5,e_1)
| product(e_2,e_5,e_4) ),
inference(sr,[status(thm)],[c_0_146,c_0_383]),
[final] ).
cnf(c_0_494,negated_conjecture,
( ~ product(e_3,e_5,X1)
| product(X1,e_2,e_5)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_134,c_0_482]),
[final] ).
cnf(c_0_495,negated_conjecture,
( ~ product(e_4,e_5,e_3)
| ~ product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_250,c_0_483]),
[final] ).
cnf(c_0_498,negated_conjecture,
( ~ product(e_4,e_5,e_2)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_110,c_0_486]),
[final] ).
cnf(c_0_499,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_4,e_3,e_1)
| product(e_3,e_5,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_487]),c_0_252])]),
[final] ).
cnf(c_0_500,negated_conjecture,
( ~ product(e_1,e_3,X1)
| product(X1,e_2,e_3)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_134,c_0_488]),
[final] ).
cnf(c_0_501,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_2,e_5,e_1)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_489,c_0_488]),
[final] ).
cnf(c_0_502,negated_conjecture,
( ~ product(e_3,e_5,e_2)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_76,c_0_486]),
[final] ).
cnf(c_0_503,negated_conjecture,
( ~ product(e_4,e_5,X1)
| product(X1,e_3,e_5)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_134,c_0_490]),
[final] ).
cnf(c_0_504,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_3,e_4,e_5)
| product(e_3,e_5,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_491]),c_0_252])]),
[final] ).
cnf(c_0_505,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_1,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_492,c_0_493]),
[final] ).
cnf(c_0_506,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_1,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_494,c_0_319]),
[final] ).
cnf(c_0_509,negated_conjecture,
( ~ product(e_4,e_5,e_3)
| product(e_5,e_3,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_495,c_0_496]),c_0_72]),
[final] ).
cnf(c_0_511,negated_conjecture,
( ~ product(e_4,e_3,e_2)
| product(e_3,e_5,e_4)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_149,c_0_499]),
[final] ).
cnf(c_0_513,negated_conjecture,
( product(e_4,e_2,e_3)
| product(e_2,e_5,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_500,c_0_501]),c_0_502]),
[final] ).
cnf(c_0_514,negated_conjecture,
( product(e_5,e_3,e_2)
| product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_389,c_0_363]),
[final] ).
cnf(c_0_515,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_503,c_0_394]),
[final] ).
cnf(c_0_516,negated_conjecture,
( ~ product(e_2,e_5,e_4)
| product(e_3,e_4,e_5)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_104,c_0_504]),
[final] ).
cnf(c_0_517,negated_conjecture,
( ~ product(e_2,e_3,e_5)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_99,c_0_505]),
[final] ).
cnf(c_0_518,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_3,e_2,e_5) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_362,c_0_506]),c_0_507]),c_0_508]),
[final] ).
cnf(c_0_519,negated_conjecture,
( ~ product(e_3,e_5,X1)
| ~ product(e_4,e_5,e_3)
| product(X1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_134,c_0_509]),
[final] ).
cnf(c_0_520,plain,
( product(e_4,e_5,e_3)
| product(e_4,e_2,e_3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_250,c_0_510]),c_0_58])]),
[final] ).
cnf(c_0_521,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_3,e_5,e_4)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_511,c_0_314]),
[final] ).
cnf(c_0_524,negated_conjecture,
( ~ product(e_2,e_1,X1)
| product(X1,e_4,e_1)
| product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_134,c_0_514]),
[final] ).
cnf(c_0_526,negated_conjecture,
( ~ product(e_2,e_3,e_5)
| product(e_3,e_4,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_516,c_0_517]),c_0_280]),
[final] ).
cnf(c_0_527,negated_conjecture,
( ~ product(e_3,e_1,X1)
| product(X1,e_4,e_1)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_134,c_0_518]),
[final] ).
cnf(c_0_528,negated_conjecture,
( ~ product(e_3,e_5,X1)
| product(X1,e_1,e_5)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_519,c_0_520]),
[final] ).
cnf(c_0_529,negated_conjecture,
( ~ product(e_2,e_5,e_1)
| product(e_3,e_5,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_521]),c_0_219]),
[final] ).
cnf(c_0_532,negated_conjecture,
( product(e_5,e_3,e_2)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_524,c_0_252]),
[final] ).
cnf(c_0_533,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_1,e_2,e_4) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_525,c_0_350]),c_0_351]),
[final] ).
cnf(c_0_534,negated_conjecture,
( ~ product(e_2,e_3,e_5)
| ~ product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_230,c_0_526]),
[final] ).
cnf(c_0_535,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_527,c_0_269]),
[final] ).
cnf(c_0_539,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_5,e_2,e_3)
| product(e_1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_446,c_0_431]),
[final] ).
cnf(c_0_542,negated_conjecture,
( ~ product(e_4,e_3,e_2)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_118,c_0_532]),
[final] ).
cnf(c_0_543,negated_conjecture,
( product(e_4,e_3,e_2)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_389,c_0_533]),
[final] ).
cnf(c_0_545,negated_conjecture,
( ~ product(e_2,e_3,e_5)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_534,c_0_535]),
[final] ).
cnf(c_0_547,negated_conjecture,
~ product(e_4,e_1,e_3),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_335,c_0_538]),c_0_124]),
[final] ).
cnf(c_0_548,negated_conjecture,
( ~ product(e_1,e_2,e_4)
| product(e_5,e_2,e_3)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_232,c_0_539]),
[final] ).
cnf(c_0_549,plain,
( product(e_3,e_2,e_4)
| product(e_1,e_2,e_4) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_523,c_0_350]),c_0_351]),
[final] ).
cnf(c_0_550,negated_conjecture,
( ~ product(e_3,e_2,e_4)
| product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_76,c_0_514]),
[final] ).
cnf(c_0_551,negated_conjecture,
( product(e_4,e_3,e_2)
| product(e_3,e_2,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_540]),c_0_58])]),
[final] ).
cnf(c_0_556,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_542,c_0_543]),
[final] ).
cnf(c_0_558,negated_conjecture,
( product(e_5,e_2,e_1)
| product(e_5,e_3,e_1) ),
inference(sr,[status(thm)],[c_0_546,c_0_547]),
[final] ).
cnf(c_0_559,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_5,e_2,e_3)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_548,c_0_549]),
[final] ).
cnf(c_0_562,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_542,c_0_551]),
[final] ).
cnf(c_0_565,negated_conjecture,
( ~ product(e_2,e_3,e_1)
| product(e_5,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_102,c_0_558]),
[final] ).
cnf(c_0_567,negated_conjecture,
( ~ product(e_2,e_3,e_5)
| product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_464,c_0_514]),
[final] ).
cnf(c_0_568,negated_conjecture,
( ~ product(e_2,e_3,X1)
| ~ product(e_2,e_4,e_5)
| product(X1,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_134,c_0_421]),
[final] ).
cnf(c_0_570,negated_conjecture,
( ~ product(e_5,e_4,e_3)
| product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_57,c_0_338]),
[final] ).
cnf(c_0_572,negated_conjecture,
( ~ product(e_4,e_5,e_3)
| ~ product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_149,c_0_509]),
[final] ).
cnf(c_0_573,plain,
( ~ product(e_5,e_4,e_3)
| product(e_5,e_3,e_2)
| product(e_5,e_2,e_2)
| product(e_5,e_1,e_2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_563]),c_0_230]),c_0_205]),
[final] ).
cnf(c_0_574,negated_conjecture,
( product(e_5,e_4,e_3)
| product(e_5,e_4,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_564]),c_0_58])]),
[final] ).
cnf(c_0_575,negated_conjecture,
~ product(e_5,e_2,e_2),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_565]),c_0_566]),
[final] ).
cnf(c_0_577,negated_conjecture,
( ~ product(e_2,e_3,X1)
| product(X1,e_5,e_3)
| product(e_2,e_3,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_568,c_0_231]),c_0_569]),
[final] ).
cnf(c_0_578,negated_conjecture,
( ~ product(e_5,e_4,e_3)
| ~ product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_495,c_0_570]),
[final] ).
cnf(c_0_580,negated_conjecture,
( ~ product(e_3,e_2,e_4)
| ~ product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_572,c_0_550]),
[final] ).
cnf(c_0_581,negated_conjecture,
( product(e_5,e_1,e_2)
| product(e_5,e_3,e_2)
| product(e_5,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_573,c_0_574]),c_0_575]),
[final] ).
cnf(c_0_583,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_1,e_5,e_3)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_577,c_0_419]),
[final] ).
cnf(c_0_584,negated_conjecture,
( ~ product(e_3,e_2,e_4)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_76,c_0_465]),
[final] ).
cnf(c_0_586,negated_conjecture,
( ~ product(e_4,e_5,e_3)
| product(e_5,e_4,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_578,c_0_579]),c_0_580]),
[final] ).
cnf(c_0_587,negated_conjecture,
( ~ product(e_4,e_5,e_2)
| product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_371,c_0_338]),
[final] ).
cnf(c_0_588,negated_conjecture,
( ~ product(e_3,e_1,e_2)
| product(e_5,e_4,e_2)
| product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_83,c_0_581]),
[final] ).
cnf(c_0_591,negated_conjecture,
( ~ product(e_1,e_4,e_3)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_250,c_0_583]),
[final] ).
cnf(c_0_596,negated_conjecture,
( ~ product(e_4,e_5,e_2)
| ~ product(e_5,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_57,c_0_587]),
[final] ).
cnf(c_0_597,negated_conjecture,
( product(e_5,e_3,e_2)
| product(e_5,e_4,e_2)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_588,c_0_488]),
[final] ).
cnf(c_0_598,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_3,e_4,e_5)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_516,c_0_426]),
[final] ).
cnf(c_0_599,negated_conjecture,
( ~ product(e_2,e_3,e_5)
| product(e_5,e_2,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_589,c_0_567]),c_0_590]),
[final] ).
cnf(c_0_607,plain,
( ~ product(e_5,e_3,e_2)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_182,c_0_343]),
[final] ).
cnf(c_0_608,negated_conjecture,
( ~ product(e_4,e_5,e_2)
| product(e_5,e_3,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_596,c_0_597]),c_0_120]),
[final] ).
cnf(c_0_609,negated_conjecture,
( ~ product(e_3,e_2,e_5)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_230,c_0_598]),
[final] ).
cnf(c_0_610,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_1,e_4,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_439,c_0_599]),c_0_600]),
[final] ).
cnf(c_0_611,negated_conjecture,
( product(e_4,e_2,e_3)
| product(e_2,e_3,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_601]),c_0_58])]),
[final] ).
cnf(c_0_612,negated_conjecture,
( ~ product(e_2,e_3,e_4)
| product(e_1,e_5,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_475,c_0_414]),c_0_138]),
[final] ).
cnf(c_0_613,negated_conjecture,
( ~ product(e_3,e_2,e_4)
| product(e_5,e_2,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_589,c_0_550]),c_0_602]),
[final] ).
cnf(c_0_616,negated_conjecture,
( ~ product(e_2,e_3,e_4)
| product(e_3,e_5,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_511,c_0_401]),c_0_210]),
[final] ).
cnf(c_0_617,negated_conjecture,
( ~ product(e_4,e_5,e_3)
| product(e_3,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_355,c_0_483]),c_0_241]),
[final] ).
cnf(c_0_618,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_250,c_0_606]),c_0_58])]),
[final] ).
cnf(c_0_619,negated_conjecture,
( ~ product(e_4,e_5,e_2)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_607,c_0_608]),
[final] ).
cnf(c_0_620,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_609,c_0_535]),
[final] ).
cnf(c_0_621,negated_conjecture,
( ~ product(e_5,e_4,e_2)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_57,c_0_610]),
[final] ).
cnf(c_0_622,negated_conjecture,
( ~ product(e_2,e_4,X1)
| product(X1,e_3,e_4)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_134,c_0_611]),
[final] ).
cnf(c_0_623,negated_conjecture,
( ~ product(e_2,e_3,e_4)
| ~ product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_250,c_0_612]),
[final] ).
cnf(c_0_624,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_5,e_3,e_1) ),
inference(sr,[status(thm)],[c_0_496,c_0_547]),
[final] ).
cnf(c_0_625,negated_conjecture,
( ~ product(e_3,e_2,e_4)
| ~ product(e_5,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_429,c_0_613]),
[final] ).
cnf(c_0_626,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_5,e_2,e_3)
| product(e_1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_500,c_0_431]),
[final] ).
cnf(c_0_629,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_1,e_4,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_615,c_0_338]),c_0_616]),
[final] ).
cnf(c_0_630,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_617,c_0_618]),c_0_619]),
[final] ).
cnf(c_0_634,negated_conjecture,
( ~ product(e_2,e_3,e_1)
| product(e_5,e_3,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_622,c_0_433]),c_0_210]),
[final] ).
cnf(c_0_635,negated_conjecture,
( ~ product(e_2,e_3,e_4)
| product(e_5,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_623,c_0_624]),
[final] ).
cnf(c_0_637,negated_conjecture,
( ~ product(e_4,e_3,X1)
| product(X1,e_5,e_3)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_598]),
[final] ).
cnf(c_0_638,negated_conjecture,
( ~ product(e_5,e_2,e_3)
| product(e_5,e_4,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_230,c_0_579]),c_0_625]),
[final] ).
cnf(c_0_639,negated_conjecture,
( ~ product(e_1,e_2,e_4)
| product(e_5,e_2,e_3)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_232,c_0_626]),
[final] ).
cnf(c_0_640,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_3,e_5,e_1) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_627,c_0_350]),c_0_351]),
[final] ).
cnf(c_0_641,negated_conjecture,
( product(e_5,e_4,e_3)
| product(e_3,e_5,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_628]),c_0_58])]),
[final] ).
cnf(c_0_642,negated_conjecture,
( ~ product(e_4,e_5,e_3)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_495,c_0_629]),
[final] ).
cnf(c_0_643,negated_conjecture,
~ product(e_3,e_1,e_3),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_214,c_0_630]),c_0_186]),
[final] ).
cnf(c_0_647,axiom,
greater(e_3,e_2),
e_3_greater_e_2,
[final] ).
cnf(c_0_654,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_3,e_5,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_637,c_0_314]),c_0_133]),
[final] ).
cnf(c_0_656,negated_conjecture,
( ~ product(e_5,e_2,e_3)
| ~ product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_596,c_0_638]),
[final] ).
cnf(c_0_657,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_5,e_2,e_3)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_639,c_0_640]),
[final] ).
cnf(c_0_659,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_3,e_1,e_2) ),
inference(sr,[status(thm)],[c_0_448,c_0_643]),
[final] ).
cnf(c_0_661,plain,
~ product(e_4,e_3,e_4),
inference(spm,[status(thm)],[c_0_205,c_0_58]),
[final] ).
cnf(c_0_665,plain,
~ product(e_3,e_4,e_4),
inference(spm,[status(thm)],[c_0_120,c_0_58]),
[final] ).
cnf(c_0_668,plain,
( ~ next(X1,e_2)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_647]),
[final] ).
cnf(c_0_670,negated_conjecture,
~ product(e_5,e_3,e_3),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_205,c_0_650]),c_0_651]),c_0_652]),
[final] ).
cnf(c_0_672,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_5,e_2,e_3)
| product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_639,c_0_514]),
[final] ).
cnf(c_0_673,negated_conjecture,
( ~ product(e_4,e_5,e_3)
| ~ product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_76,c_0_483]),
[final] ).
cnf(c_0_676,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_1,e_2,e_4) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_655,c_0_350]),c_0_351]),
[final] ).
cnf(c_0_677,negated_conjecture,
( ~ product(e_4,e_5,e_2)
| product(e_3,e_5,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_656,c_0_657]),c_0_120]),
[final] ).
cnf(c_0_678,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_3,e_1,e_4)
| product(e_4,e_5,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_250,c_0_658]),c_0_58])]),
[final] ).
cnf(c_0_679,negated_conjecture,
( ~ product(e_3,e_5,e_1)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_120,c_0_659]),
[final] ).
cnf(c_0_681,plain,
~ product(e_4,e_3,e_5),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_662,c_0_393]),c_0_663]),
[final] ).
cnf(c_0_685,negated_conjecture,
( ~ product(e_4,e_3,X1)
| product(X1,e_1,e_3)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_134,c_0_556]),
[final] ).
cnf(c_0_686,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_3,e_1)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_374,c_0_488]),
[final] ).
cnf(c_0_687,plain,
~ product(e_1,e_1,e_3),
inference(spm,[status(thm)],[c_0_668,c_0_265]),
[final] ).
cnf(c_0_688,negated_conjecture,
( ~ product(e_5,e_3,e_4)
| product(e_5,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_210,c_0_558]),
[final] ).
cnf(c_0_689,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_5,e_3,e_4)
| product(e_5,e_3,e_2) ),
inference(sr,[status(thm)],[c_0_669,c_0_670]),
[final] ).
cnf(c_0_690,negated_conjecture,
( ~ product(e_5,e_3,e_2)
| product(e_5,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_149,c_0_558]),
[final] ).
cnf(c_0_692,negated_conjecture,
( ~ product(e_2,e_5,e_1)
| product(e_4,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_260,c_0_529]),c_0_404]),
[final] ).
cnf(c_0_693,negated_conjecture,
( ~ product(e_2,e_5,e_1)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_104,c_0_319]),
[final] ).
cnf(c_0_694,negated_conjecture,
( ~ product(e_4,e_5,e_3)
| product(e_5,e_2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_572,c_0_672]),c_0_673]),
[final] ).
cnf(c_0_696,negated_conjecture,
( ~ product(e_2,e_3,e_4)
| ~ product(e_5,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_290,c_0_462]),
[final] ).
cnf(c_0_697,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_1,e_5,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_637,c_0_499]),c_0_675]),
[final] ).
cnf(c_0_698,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_2,e_3,e_1)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_400,c_0_551]),
[final] ).
cnf(c_0_699,negated_conjecture,
( product(e_4,e_3,e_2)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_389,c_0_676]),
[final] ).
cnf(c_0_700,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_3,e_1,e_4)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_677,c_0_678]),
[final] ).
cnf(c_0_701,negated_conjecture,
( ~ product(e_3,e_5,e_1)
| product(e_1,e_3,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_489,c_0_679]),c_0_104]),
[final] ).
cnf(c_0_703,plain,
~ product(e_4,e_3,e_3),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_219,c_0_520]),c_0_232]),
[final] ).
cnf(c_0_704,negated_conjecture,
( ~ product(e_3,e_2,e_4)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_76,c_0_640]),
[final] ).
cnf(c_0_706,negated_conjecture,
~ product(e_3,e_4,e_3),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_429,c_0_562]),c_0_683]),
[final] ).
cnf(c_0_708,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_3,e_5,e_2)
| product(e_4,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_685,c_0_686]),c_0_687]),
[final] ).
cnf(c_0_709,negated_conjecture,
( ~ product(e_4,e_5,e_3)
| ~ product(e_5,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_232,c_0_509]),
[final] ).
cnf(c_0_710,negated_conjecture,
( product(e_5,e_2,e_1)
| product(e_4,e_2,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_688,c_0_689]),c_0_690]),
[final] ).
cnf(c_0_712,negated_conjecture,
( ~ product(e_2,e_5,e_1)
| product(e_4,e_2,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_400,c_0_692]),c_0_219]),
[final] ).
cnf(c_0_713,negated_conjecture,
( ~ product(e_2,e_5,e_1)
| ~ product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_534,c_0_693]),
[final] ).
cnf(c_0_714,negated_conjecture,
( ~ product(e_2,e_5,X1)
| ~ product(e_4,e_5,e_3)
| product(X1,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_134,c_0_694]),
[final] ).
cnf(c_0_715,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_250,c_0_695]),c_0_58])]),
[final] ).
cnf(c_0_716,negated_conjecture,
( ~ product(e_2,e_3,e_4)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_696,c_0_343]),
[final] ).
cnf(c_0_718,negated_conjecture,
( ~ product(e_2,e_4,X1)
| product(X1,e_1,e_4)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_698]),
[final] ).
cnf(c_0_719,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_609,c_0_304]),
[final] ).
cnf(c_0_720,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_542,c_0_699]),
[final] ).
cnf(c_0_721,negated_conjecture,
( ~ product(e_1,e_5,e_2)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_186,c_0_697]),
[final] ).
cnf(c_0_724,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_4,e_5,e_1)
| product(e_3,e_5,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_489,c_0_700]),c_0_701]),
[final] ).
cnf(c_0_725,plain,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2) ),
inference(sr,[status(thm)],[c_0_702,c_0_703]),
[final] ).
cnf(c_0_726,negated_conjecture,
( ~ product(e_3,e_2,e_4)
| ~ product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_250,c_0_704]),
[final] ).
cnf(c_0_727,plain,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_5) ),
inference(sr,[status(thm)],[c_0_705,c_0_706]),
[final] ).
cnf(c_0_729,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_1,e_5,e_2)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_475,c_0_708]),
[final] ).
cnf(c_0_730,negated_conjecture,
( ~ product(e_4,e_5,e_3)
| product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_709,c_0_710]),
[final] ).
cnf(c_0_732,negated_conjecture,
( ~ product(e_3,e_5,e_2)
| product(e_3,e_1,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_678]),c_0_290]),
[final] ).
cnf(c_0_733,negated_conjecture,
( ~ product(e_1,e_2,e_4)
| product(e_3,e_5,e_2)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_232,c_0_501]),
[final] ).
cnf(c_0_734,negated_conjecture,
( ~ product(e_2,e_5,e_1)
| product(e_1,e_5,e_2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_711,c_0_712]),c_0_713]),c_0_219]),
[final] ).
cnf(c_0_735,negated_conjecture,
( ~ product(e_4,e_1,X1)
| ~ product(e_5,e_4,e_3)
| product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_570]),
[final] ).
cnf(c_0_736,negated_conjecture,
( ~ product(e_2,e_5,X1)
| product(X1,e_3,e_5)
| product(e_4,e_5,e_2)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_714,c_0_715]),
[final] ).
cnf(c_0_737,negated_conjecture,
( ~ product(e_2,e_3,e_4)
| product(e_2,e_5,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_489,c_0_716]),c_0_99]),
[final] ).
cnf(c_0_738,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_717,c_0_715]),
[final] ).
cnf(c_0_740,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_3,e_5,e_4)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_511,c_0_551]),
[final] ).
cnf(c_0_741,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_1,e_3,e_4)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_622,c_0_620]),
[final] ).
cnf(c_0_742,negated_conjecture,
( ~ product(e_4,e_3,X1)
| product(X1,e_1,e_3)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_720]),
[final] ).
cnf(c_0_748,negated_conjecture,
( ~ product(e_1,e_2,e_4)
| product(e_3,e_5,e_4)
| product(e_4,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_232,c_0_724]),
[final] ).
cnf(c_0_749,negated_conjecture,
( ~ product(e_3,e_4,X1)
| product(X1,e_1,e_4)
| product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_134,c_0_725]),
[final] ).
cnf(c_0_750,negated_conjecture,
( ~ product(e_3,e_2,e_4)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_726,c_0_727]),
[final] ).
cnf(c_0_753,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_2,e_5,e_1)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_489,c_0_375]),
[final] ).
cnf(c_0_754,negated_conjecture,
( ~ product(e_4,e_5,e_2)
| product(e_2,e_3,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_729]),c_0_120]),
[final] ).
cnf(c_0_755,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_5,e_2)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_730,c_0_618]),
[final] ).
cnf(c_0_758,negated_conjecture,
( ~ product(e_1,e_3,X1)
| ~ product(e_3,e_5,e_2)
| product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_134,c_0_732]),
[final] ).
cnf(c_0_759,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_3,e_5,e_2)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_733,c_0_549]),
[final] ).
cnf(c_0_760,negated_conjecture,
( ~ product(e_3,e_2,e_4)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_607,c_0_550]),
[final] ).
cnf(c_0_761,negated_conjecture,
( ~ product(e_2,e_5,e_1)
| ~ product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_138,c_0_693]),
[final] ).
cnf(c_0_762,negated_conjecture,
( ~ product(e_2,e_5,e_1)
| ~ product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_250,c_0_734]),
[final] ).
cnf(c_0_763,negated_conjecture,
( ~ product(e_4,e_1,X1)
| product(X1,e_2,e_1)
| product(e_5,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_735,c_0_574]),
[final] ).
cnf(c_0_764,plain,
product(e_4,e_1,e_5),
inference(sr,[status(thm)],[c_0_537,c_0_547]),
[final] ).
cnf(c_0_768,negated_conjecture,
( ~ product(e_5,e_3,X1)
| product(X1,e_4,e_3)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_740]),
[final] ).
cnf(c_0_769,negated_conjecture,
( ~ product(e_5,e_3,e_4)
| product(e_2,e_3,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_741]),c_0_102]),
[final] ).
cnf(c_0_770,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_3,e_5,e_2)
| product(e_4,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_742,c_0_686]),c_0_687]),
[final] ).
cnf(c_0_771,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_5,e_1,e_2)
| product(e_2,e_3,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_743]),c_0_252])]),
[final] ).
cnf(c_0_772,negated_conjecture,
( ~ product(e_2,e_3,e_4)
| ~ product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_149,c_0_635]),
[final] ).
cnf(c_0_777,negated_conjecture,
( product(e_4,e_3,e_2)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_389,c_0_465]),
[final] ).
cnf(c_0_778,plain,
( ~ product(e_2,e_4,e_1)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_250,c_0_493]),
[final] ).
cnf(c_0_779,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_3,e_5,e_4)
| product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_748,c_0_514]),
[final] ).
cnf(c_0_780,negated_conjecture,
( product(e_4,e_3,e_2)
| product(e_5,e_1,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_749,c_0_750]),c_0_551]),
[final] ).
cnf(c_0_782,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_3,e_5,e_4)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_511,c_0_752]),
[final] ).
cnf(c_0_783,negated_conjecture,
( ~ product(e_1,e_2,e_4)
| product(e_2,e_3,e_1)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_232,c_0_753]),
[final] ).
cnf(c_0_784,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_3,e_1,e_4)
| product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_754,c_0_755]),
[final] ).
cnf(c_0_787,negated_conjecture,
( ~ product(e_1,e_3,X1)
| product(X1,e_4,e_3)
| product(e_3,e_2,e_4)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_758,c_0_759]),
[final] ).
cnf(c_0_788,negated_conjecture,
( ~ product(e_3,e_2,e_4)
| product(e_1,e_3,e_4) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_409,c_0_760]),c_0_364]),c_0_365]),c_0_761]),
[final] ).
cnf(c_0_789,negated_conjecture,
( ~ product(e_2,e_5,e_1)
| product(e_5,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_762,c_0_624]),
[final] ).
cnf(c_0_790,negated_conjecture,
( product(e_5,e_4,e_2)
| product(e_5,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_763,c_0_764]),
[final] ).
cnf(c_0_792,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_3,e_4,e_5)
| product(e_1,e_5,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_766,c_0_172]),c_0_767]),
[final] ).
cnf(c_0_794,negated_conjecture,
( ~ product(e_4,e_2,e_3)
| product(e_3,e_5,e_2)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_429,c_0_770]),
[final] ).
cnf(c_0_795,negated_conjecture,
( ~ product(e_5,e_3,e_2)
| product(e_4,e_3,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_771]),c_0_772]),
[final] ).
cnf(c_0_796,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_5,e_2,e_3)
| product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_548,c_0_514]),
[final] ).
cnf(c_0_797,negated_conjecture,
( ~ product(e_4,e_2,e_1)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_232,c_0_342]),
[final] ).
cnf(c_0_801,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_1,e_2,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_776,c_0_727]),c_0_447]),
[final] ).
cnf(c_0_803,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_2,e_3,e_1)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_400,c_0_314]),
[final] ).
cnf(c_0_804,negated_conjecture,
( ~ product(e_3,e_4,X1)
| product(X1,e_2,e_4)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_134,c_0_777]),
[final] ).
cnf(c_0_805,negated_conjecture,
( ~ product(e_2,e_4,e_1)
| product(e_3,e_4,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_516,c_0_778]),c_0_205]),
[final] ).
cnf(c_0_806,negated_conjecture,
( ~ product(e_4,e_3,e_2)
| product(e_3,e_5,e_4)
| product(e_4,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_118,c_0_779]),
[final] ).
cnf(c_0_807,negated_conjecture,
( ~ product(e_3,e_1,e_4)
| product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_83,c_0_780]),
[final] ).
cnf(c_0_809,negated_conjecture,
( ~ product(e_2,e_3,e_1)
| ~ product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_290,c_0_634]),
[final] ).
cnf(c_0_810,negated_conjecture,
( ~ product(e_5,e_3,X1)
| product(X1,e_4,e_3)
| product(e_2,e_4,e_1)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_782]),
[final] ).
cnf(c_0_811,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_2,e_3,e_1)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_783,c_0_676]),
[final] ).
cnf(c_0_812,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_1,e_5,e_2)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_475,c_0_784]),
[final] ).
cnf(c_0_814,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_5,e_2,e_3)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_548,c_0_640]),
[final] ).
cnf(c_0_815,negated_conjecture,
( ~ product(e_1,e_4,e_2)
| product(e_3,e_5,e_2)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_250,c_0_729]),
[final] ).
cnf(c_0_816,plain,
( product(e_5,e_3,e_4)
| product(e_5,e_3,e_2)
| product(e_5,e_3,e_1) ),
inference(sr,[status(thm)],[c_0_305,c_0_670]),
[final] ).
cnf(c_0_817,negated_conjecture,
( ~ product(e_4,e_1,X1)
| product(X1,e_2,e_1)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_134,c_0_610]),
[final] ).
cnf(c_0_821,negated_conjecture,
( ~ product(e_2,e_5,e_1)
| ~ product(e_5,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_210,c_0_789]),
[final] ).
cnf(c_0_822,negated_conjecture,
( ~ product(e_4,e_5,e_2)
| product(e_5,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_596,c_0_790]),
[final] ).
cnf(c_0_823,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_1,e_2,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_791,c_0_376]),c_0_447]),
[final] ).
cnf(c_0_824,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_3,e_4,e_5)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_268,c_0_375]),
[final] ).
cnf(c_0_826,negated_conjecture,
( ~ product(e_4,e_5,e_3)
| product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_439,c_0_694]),c_0_441]),
[final] ).
cnf(c_0_827,negated_conjecture,
( product(e_5,e_3,e_2)
| product(e_1,e_4,e_3)
| product(e_2,e_3,e_1) ),
inference(sr,[status(thm)],[c_0_793,c_0_670]),
[final] ).
cnf(c_0_828,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_3,e_5,e_2)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_794,c_0_611]),
[final] ).
cnf(c_0_829,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_5,e_2,e_3)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_795,c_0_796]),
[final] ).
cnf(c_0_830,negated_conjecture,
( ~ product(e_5,e_1,X1)
| product(X1,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_697]),
[final] ).
cnf(c_0_831,negated_conjecture,
( ~ product(e_4,e_3,X1)
| product(X1,e_1,e_3)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_134,c_0_562]),
[final] ).
cnf(c_0_832,negated_conjecture,
( ~ product(e_3,e_2,X1)
| product(X1,e_1,e_2)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_134,c_0_419]),
[final] ).
cnf(c_0_836,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_5,e_2,e_3)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_639,c_0_801]),
[final] ).
cnf(c_0_837,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_3,e_5,e_4)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_511,c_0_802]),
[final] ).
cnf(c_0_838,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_5,e_2,e_3)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_795,c_0_672]),
[final] ).
cnf(c_0_839,negated_conjecture,
( ~ product(e_4,e_2,e_3)
| product(e_3,e_5,e_1)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_429,c_0_803]),
[final] ).
cnf(c_0_840,negated_conjecture,
( ~ product(e_2,e_4,e_1)
| product(e_4,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_804,c_0_805]),c_0_415]),
[final] ).
cnf(c_0_841,negated_conjecture,
( ~ product(e_4,e_5,X1)
| product(X1,e_3,e_5)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_134,c_0_641]),
[final] ).
cnf(c_0_842,negated_conjecture,
( ~ product(e_3,e_1,e_4)
| product(e_4,e_5,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_806,c_0_807]),c_0_72]),
[final] ).
cnf(c_0_843,negated_conjecture,
( product(e_4,e_2,e_3)
| product(e_5,e_1,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_442,c_0_463]),c_0_476]),
[final] ).
cnf(c_0_844,negated_conjecture,
( ~ product(e_4,e_5,e_3)
| product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_572,c_0_253]),
[final] ).
cnf(c_0_846,negated_conjecture,
( ~ product(e_4,e_5,e_3)
| ~ product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_102,c_0_509]),
[final] ).
cnf(c_0_847,negated_conjecture,
( ~ product(e_4,e_5,e_2)
| ~ product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_809,c_0_608]),
[final] ).
cnf(c_0_848,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_4,e_1)
| product(e_1,e_4,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_810,c_0_789]),c_0_811]),
[final] ).
cnf(c_0_849,negated_conjecture,
( ~ product(e_1,e_4,e_2)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_250,c_0_812]),
[final] ).
cnf(c_0_853,negated_conjecture,
( ~ product(e_2,e_3,e_5)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_534,c_0_304]),
[final] ).
cnf(c_0_854,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_3,e_5,e_2)
| product(e_5,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_815,c_0_624]),
[final] ).
cnf(c_0_855,plain,
( ~ product(e_2,e_3,e_5)
| ~ product(e_5,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_57,c_0_445]),
[final] ).
cnf(c_0_856,plain,
( ~ product(e_5,e_2,e_1)
| product(e_5,e_3,e_2)
| product(e_5,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_232,c_0_816]),
[final] ).
cnf(c_0_857,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_5,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_817,c_0_764]),
[final] ).
cnf(c_0_858,negated_conjecture,
~ product(e_3,e_5,e_3),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_818,c_0_640]),c_0_429]),
[final] ).
cnf(c_0_859,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_5,e_1,e_2)
| product(e_3,e_5,e_4) ),
inference(sr,[status(thm)],[c_0_318,c_0_547]),
[final] ).
cnf(c_0_861,negated_conjecture,
( ~ product(e_5,e_3,e_4)
| product(e_5,e_4,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_820]),c_0_821]),
[final] ).
cnf(c_0_863,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_3,e_5,e_4)
| product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_748,c_0_823]),
[final] ).
cnf(c_0_865,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_4,e_5,e_2)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_826,c_0_618]),
[final] ).
cnf(c_0_866,negated_conjecture,
( ~ product(e_1,e_4,e_2)
| product(e_2,e_3,e_1)
| product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_186,c_0_827]),
[final] ).
cnf(c_0_867,negated_conjecture,
( ~ product(e_5,e_4,e_2)
| product(e_5,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_57,c_0_624]),
[final] ).
cnf(c_0_868,negated_conjecture,
( ~ product(e_1,e_3,X1)
| product(X1,e_4,e_3)
| product(e_2,e_3,e_4)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_758,c_0_828]),
[final] ).
cnf(c_0_869,negated_conjecture,
( ~ product(e_2,e_5,X1)
| product(X1,e_3,e_5)
| product(e_2,e_3,e_1)
| product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_829]),
[final] ).
cnf(c_0_870,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_830,c_0_771]),
[final] ).
cnf(c_0_871,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_3,e_5,e_2)
| product(e_4,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_831,c_0_686]),c_0_687]),
[final] ).
cnf(c_0_872,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| product(e_5,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_832,c_0_833]),
[final] ).
cnf(c_0_873,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_3,e_4,e_5)
| product(e_4,e_2,e_1) ),
inference(sr,[status(thm)],[c_0_834,c_0_441]),
[final] ).
cnf(c_0_874,negated_conjecture,
( product(e_5,e_4,e_2)
| product(e_3,e_4,e_5)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_835,c_0_836]),
[final] ).
cnf(c_0_876,negated_conjecture,
( ~ product(e_4,e_5,e_2)
| product(e_4,e_3,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_656,c_0_838]),c_0_120]),
[final] ).
cnf(c_0_877,negated_conjecture,
( ~ product(e_3,e_5,X1)
| product(X1,e_1,e_5)
| product(e_5,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_558]),
[final] ).
cnf(c_0_878,negated_conjecture,
( ~ product(e_2,e_4,e_1)
| product(e_3,e_5,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_839,c_0_840]),c_0_205]),
[final] ).
cnf(c_0_879,negated_conjecture,
( ~ product(e_3,e_1,e_4)
| product(e_1,e_3,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_841,c_0_842]),c_0_72]),
[final] ).
cnf(c_0_880,negated_conjecture,
( ~ product(e_2,e_5,e_1)
| ~ product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_429,c_0_712]),
[final] ).
cnf(c_0_881,negated_conjecture,
( ~ product(e_3,e_1,e_4)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_83,c_0_843]),
[final] ).
cnf(c_0_882,negated_conjecture,
( product(e_4,e_3,e_2)
| product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_844,c_0_845]),
[final] ).
cnf(c_0_883,negated_conjecture,
( ~ product(e_1,e_4,e_3)
| ~ product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_76,c_0_329]),
[final] ).
cnf(c_0_884,negated_conjecture,
( ~ product(e_2,e_3,e_1)
| product(e_3,e_1,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_846,c_0_618]),c_0_847]),
[final] ).
cnf(c_0_885,negated_conjecture,
( ~ product(e_1,e_4,e_2)
| product(e_2,e_4,e_1)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_186,c_0_848]),
[final] ).
cnf(c_0_886,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_3,e_1,e_4)
| product(e_5,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_849,c_0_624]),
[final] ).
cnf(c_0_887,plain,
( product(e_5,e_2,e_1)
| product(e_5,e_2,e_3) ),
inference(sr,[status(thm)],[c_0_850,c_0_575]),
[final] ).
cnf(c_0_888,negated_conjecture,
( ~ product(e_4,e_5,X1)
| product(X1,e_3,e_5)
| product(e_5,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_134,c_0_574]),
[final] ).
cnf(c_0_889,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_3,e_5,e_1)
| product(e_4,e_5,e_3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_250,c_0_851]),c_0_58])]),
[final] ).
cnf(c_0_890,negated_conjecture,
~ product(e_3,e_3,e_5),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_205,c_0_309]),c_0_232]),
[final] ).
cnf(c_0_891,negated_conjecture,
( ~ product(e_1,e_4,e_2)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_250,c_0_852]),c_0_853]),
[final] ).
cnf(c_0_892,negated_conjecture,
( ~ product(e_5,e_3,e_4)
| product(e_3,e_5,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_210,c_0_854]),c_0_855]),
[final] ).
cnf(c_0_893,negated_conjecture,
( product(e_5,e_3,e_4)
| product(e_5,e_3,e_2)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_856,c_0_857]),
[final] ).
cnf(c_0_895,negated_conjecture,
( product(e_4,e_2,e_3)
| product(e_5,e_2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_500,c_0_626]),c_0_502]),
[final] ).
cnf(c_0_896,plain,
( product(e_3,e_5,e_4)
| product(e_3,e_5,e_2)
| product(e_3,e_5,e_1) ),
inference(sr,[status(thm)],[c_0_467,c_0_858]),
[final] ).
cnf(c_0_898,negated_conjecture,
( ~ product(e_5,e_1,e_2)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_290,c_0_843]),
[final] ).
cnf(c_0_902,negated_conjecture,
( ~ product(e_5,e_1,X1)
| ~ product(e_1,e_4,e_3)
| product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_329]),
[final] ).
cnf(c_0_903,negated_conjecture,
( ~ product(e_5,e_3,e_4)
| product(e_5,e_1,e_2) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_573,c_0_861]),c_0_575]),c_0_290]),
[final] ).
cnf(c_0_905,negated_conjecture,
~ product(e_4,e_5,e_4),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_210,c_0_863]),c_0_120]),c_0_290]),
[final] ).
cnf(c_0_907,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_2,e_3,e_1)
| product(e_4,e_5,e_3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_250,c_0_864]),c_0_58])]),
[final] ).
cnf(c_0_908,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_677,c_0_865]),
[final] ).
cnf(c_0_909,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_2,e_3,e_1)
| product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_783,c_0_514]),
[final] ).
cnf(c_0_910,negated_conjecture,
( product(e_5,e_3,e_2)
| product(e_2,e_3,e_1)
| product(e_5,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_866,c_0_624]),
[final] ).
cnf(c_0_911,negated_conjecture,
( product(e_5,e_3,e_1)
| product(e_3,e_5,e_2)
| product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_867,c_0_597]),
[final] ).
cnf(c_0_912,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_5,e_2,e_3)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_639,c_0_676]),
[final] ).
cnf(c_0_916,negated_conjecture,
( ~ product(e_4,e_2,e_3)
| product(e_3,e_5,e_2)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_429,c_0_871]),
[final] ).
cnf(c_0_917,negated_conjecture,
( ~ product(e_3,e_1,e_2)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_83,c_0_872]),
[final] ).
cnf(c_0_918,negated_conjecture,
( ~ product(e_4,e_2,e_3)
| product(e_3,e_4,e_5)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_429,c_0_873]),
[final] ).
cnf(c_0_919,negated_conjecture,
( ~ product(e_4,e_5,e_2)
| product(e_3,e_4,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_596,c_0_874]),c_0_120]),
[final] ).
cnf(c_0_920,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_400,c_0_875]),
[final] ).
cnf(c_0_921,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_876,c_0_865]),
[final] ).
cnf(c_0_922,negated_conjecture,
( ~ product(e_2,e_4,X1)
| product(X1,e_1,e_4)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_134,c_0_784]),
[final] ).
cnf(c_0_923,negated_conjecture,
( ~ product(e_2,e_4,e_1)
| product(e_5,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_877,c_0_878]),c_0_459]),
[final] ).
cnf(c_0_924,negated_conjecture,
( ~ product(e_3,e_1,e_4)
| ~ product(e_1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_138,c_0_879]),
[final] ).
cnf(c_0_925,negated_conjecture,
( ~ product(e_3,e_1,e_4)
| ~ product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_880,c_0_881]),
[final] ).
cnf(c_0_926,negated_conjecture,
( ~ product(e_3,e_5,e_2)
| product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_120,c_0_882]),
[final] ).
cnf(c_0_927,negated_conjecture,
( ~ product(e_3,e_5,e_2)
| product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_883,c_0_338]),
[final] ).
cnf(c_0_928,negated_conjecture,
( ~ product(e_2,e_3,e_1)
| ~ product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_72,c_0_884]),
[final] ).
cnf(c_0_929,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_4,e_1)
| product(e_5,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_885,c_0_624]),
[final] ).
cnf(c_0_930,negated_conjecture,
( ~ product(e_5,e_3,e_4)
| product(e_3,e_1,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_210,c_0_886]),c_0_855]),
[final] ).
cnf(c_0_931,plain,
( product(e_5,e_3,e_4)
| product(e_5,e_3,e_2)
| product(e_5,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_856,c_0_887]),
[final] ).
cnf(c_0_932,negated_conjecture,
( product(e_5,e_4,e_2)
| product(e_3,e_5,e_1)
| product(e_2,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_888,c_0_889]),c_0_890]),
[final] ).
cnf(c_0_933,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_3,e_2,e_4)
| product(e_5,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_891,c_0_624]),
[final] ).
cnf(c_0_934,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_2,e_3,e_4)
| product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_892,c_0_893]),
[final] ).
cnf(c_0_936,plain,
( ~ product(e_3,e_4,e_1)
| product(e_3,e_5,e_2)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_250,c_0_896]),
[final] ).
cnf(c_0_937,negated_conjecture,
( ~ product(e_3,e_2,e_4)
| product(e_4,e_3,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_897,c_0_550]),c_0_142]),
[final] ).
cnf(c_0_938,negated_conjecture,
( ~ product(e_2,e_3,e_1)
| ~ product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_138,c_0_423]),
[final] ).
cnf(c_0_939,negated_conjecture,
( product(e_4,e_2,e_3)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_898,c_0_343]),
[final] ).
cnf(c_0_942,negated_conjecture,
( ~ product(e_2,e_4,e_1)
| ~ product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_230,c_0_805]),
[final] ).
cnf(c_0_944,negated_conjecture,
( ~ product(e_5,e_1,X1)
| product(X1,e_2,e_1)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_902,c_0_359]),
[final] ).
cnf(c_0_945,negated_conjecture,
( ~ product(e_1,e_5,X1)
| ~ product(e_5,e_3,e_4)
| product(X1,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_134,c_0_903]),
[final] ).
cnf(c_0_946,negated_conjecture,
( product(e_4,e_5,e_3)
| product(e_5,e_3,e_2)
| product(e_5,e_3,e_4) ),
inference(sr,[status(thm)],[c_0_904,c_0_905]),
[final] ).
cnf(c_0_947,negated_conjecture,
( product(e_5,e_3,e_1)
| product(e_2,e_3,e_1)
| product(e_3,e_4,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_906,c_0_907]),c_0_484]),
[final] ).
cnf(c_0_948,negated_conjecture,
( ~ product(e_4,e_1,X1)
| product(X1,e_2,e_1)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_134,c_0_469]),
[final] ).
cnf(c_0_951,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_4,e_5,e_1)
| product(e_2,e_3,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_489,c_0_908]),c_0_701]),
[final] ).
cnf(c_0_952,negated_conjecture,
( product(e_5,e_2,e_1)
| product(e_2,e_5,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_690,c_0_909]),c_0_565]),
[final] ).
cnf(c_0_953,negated_conjecture,
( ~ product(e_5,e_2,e_1)
| product(e_2,e_3,e_1)
| product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_232,c_0_910]),
[final] ).
cnf(c_0_954,negated_conjecture,
( ~ product(e_5,e_2,e_1)
| product(e_5,e_3,e_2)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_232,c_0_911]),
[final] ).
cnf(c_0_955,negated_conjecture,
( ~ product(e_4,e_5,e_2)
| product(e_2,e_4,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_656,c_0_912]),c_0_120]),
[final] ).
cnf(c_0_956,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_3,e_5,e_2)
| product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_733,c_0_514]),
[final] ).
cnf(c_0_960,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_5,e_2,e_3)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_639,c_0_549]),
[final] ).
cnf(c_0_961,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_3,e_5,e_2)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_916,c_0_611]),
[final] ).
cnf(c_0_962,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_917,c_0_488]),
[final] ).
cnf(c_0_963,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_3,e_4,e_5)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_918,c_0_611]),
[final] ).
cnf(c_0_964,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_919,c_0_865]),
[final] ).
cnf(c_0_965,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_5)
| product(e_1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_711,c_0_920]),
[final] ).
cnf(c_0_966,negated_conjecture,
( ~ product(e_3,e_4,X1)
| product(X1,e_1,e_4)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_134,c_0_921]),
[final] ).
cnf(c_0_968,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_5,e_2,e_1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_810,c_0_558]),c_0_923]),c_0_565]),
[final] ).
cnf(c_0_969,negated_conjecture,
( ~ product(e_5,e_4,e_3)
| product(e_4,e_3,e_1)
| product(e_5,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_308,c_0_570]),c_0_130]),
[final] ).
cnf(c_0_970,negated_conjecture,
( ~ product(e_3,e_1,e_4)
| product(e_5,e_4,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_924,c_0_820]),c_0_925]),
[final] ).
cnf(c_0_971,negated_conjecture,
( ~ product(e_3,e_1,e_4)
| ~ product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_219,c_0_842]),
[final] ).
cnf(c_0_972,negated_conjecture,
( ~ product(e_3,e_5,e_2)
| product(e_4,e_5,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_806,c_0_926]),c_0_290]),
[final] ).
cnf(c_0_973,negated_conjecture,
( ~ product(e_3,e_5,e_2)
| ~ product(e_5,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_57,c_0_927]),
[final] ).
cnf(c_0_974,negated_conjecture,
( ~ product(e_2,e_3,e_1)
| product(e_4,e_5,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_748,c_0_447]),c_0_928]),
[final] ).
cnf(c_0_976,negated_conjecture,
( product(e_5,e_2,e_1)
| product(e_4,e_5,e_3) ),
inference(sr,[status(thm)],[c_0_862,c_0_905]),
[final] ).
cnf(c_0_977,negated_conjecture,
( ~ product(e_5,e_3,e_2)
| product(e_2,e_4,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_929]),c_0_809]),
[final] ).
cnf(c_0_978,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_5,e_2,e_3)
| product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_930,c_0_931]),
[final] ).
cnf(c_0_979,negated_conjecture,
( ~ product(e_5,e_3,e_2)
| product(e_3,e_5,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_205,c_0_932]),c_0_809]),
[final] ).
cnf(c_0_980,negated_conjecture,
( ~ product(e_5,e_3,e_2)
| product(e_3,e_2,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_933]),c_0_809]),
[final] ).
cnf(c_0_981,plain,
( ~ product(e_4,e_2,e_1)
| product(e_5,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_118,c_0_887]),
[final] ).
cnf(c_0_983,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_795,c_0_934]),
[final] ).
cnf(c_0_984,negated_conjecture,
( ~ product(e_2,e_4,X1)
| product(X1,e_1,e_4)
| product(e_3,e_5,e_2)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_134,c_0_708]),
[final] ).
cnf(c_0_986,negated_conjecture,
( product(e_4,e_2,e_3)
| product(e_3,e_5,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_935]),c_0_252])]),
[final] ).
cnf(c_0_987,negated_conjecture,
( ~ product(e_2,e_4,X1)
| product(X1,e_3,e_4)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_513]),
[final] ).
cnf(c_0_988,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_3,e_5,e_2)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_936,c_0_562]),
[final] ).
cnf(c_0_989,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_3,e_5,e_2)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_936,c_0_720]),
[final] ).
cnf(c_0_990,negated_conjecture,
( ~ product(e_3,e_4,X1)
| ~ product(e_3,e_2,e_4)
| product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_134,c_0_937]),
[final] ).
cnf(c_0_991,negated_conjecture,
( ~ product(e_3,e_2,e_4)
| product(e_4,e_5,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_580,c_0_715]),c_0_938]),
[final] ).
cnf(c_0_992,negated_conjecture,
( ~ product(e_2,e_4,X1)
| product(X1,e_3,e_4)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_134,c_0_939]),
[final] ).
cnf(c_0_993,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_542,c_0_314]),
[final] ).
cnf(c_0_994,negated_conjecture,
( ~ product(e_4,e_2,e_3)
| product(e_4,e_5,e_2)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_142,c_0_715]),
[final] ).
cnf(c_0_995,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_542,c_0_777]),
[final] ).
cnf(c_0_999,negated_conjecture,
( ~ product(e_2,e_4,e_1)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_942,c_0_304]),
[final] ).
cnf(c_0_1002,negated_conjecture,
( ~ product(e_1,e_5,X1)
| product(X1,e_2,e_5)
| product(e_5,e_3,e_2)
| product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_945,c_0_946]),
[final] ).
cnf(c_0_1003,negated_conjecture,
( ~ product(e_5,e_3,e_2)
| product(e_3,e_4,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_947]),c_0_809]),
[final] ).
cnf(c_0_1006,negated_conjecture,
( ~ product(e_4,e_5,e_3)
| ~ product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_118,c_0_509]),
[final] ).
cnf(c_0_1007,negated_conjecture,
( ~ product(e_5,e_3,e_4)
| product(e_4,e_5,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_951]),c_0_102]),
[final] ).
cnf(c_0_1008,negated_conjecture,
( product(e_5,e_3,e_4)
| product(e_5,e_3,e_2)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_856,c_0_952]),
[final] ).
cnf(c_0_1009,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_3,e_5,e_2)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_733,c_0_676]),
[final] ).
cnf(c_0_1011,negated_conjecture,
( ~ product(e_1,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_4,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_232,c_0_951]),
[final] ).
cnf(c_0_1013,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_5,e_2,e_3)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_548,c_0_676]),
[final] ).
cnf(c_0_1015,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_3,e_1,e_4)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_955,c_0_678]),
[final] ).
cnf(c_0_1016,negated_conjecture,
( ~ product(e_4,e_5,e_3)
| product(e_2,e_5,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_572,c_0_956]),c_0_673]),
[final] ).
cnf(c_0_1018,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_5,e_4,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_958,c_0_393]),c_0_490]),
[final] ).
cnf(c_0_1019,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_1,e_2,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_959,c_0_376]),c_0_447]),
[final] ).
cnf(c_0_1020,negated_conjecture,
( ~ product(e_4,e_5,e_2)
| product(e_3,e_2,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_656,c_0_960]),c_0_120]),
[final] ).
cnf(c_0_1021,negated_conjecture,
( ~ product(e_1,e_3,X1)
| product(X1,e_4,e_3)
| product(e_2,e_3,e_4)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_758,c_0_961]),
[final] ).
cnf(c_0_1022,negated_conjecture,
( ~ product(e_1,e_3,X1)
| product(X1,e_4,e_3)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_758,c_0_962]),
[final] ).
cnf(c_0_1023,negated_conjecture,
( ~ product(e_1,e_3,X1)
| product(X1,e_4,e_3)
| product(e_2,e_3,e_4)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_908]),
[final] ).
cnf(c_0_1024,negated_conjecture,
( ~ product(e_1,e_3,X1)
| product(X1,e_4,e_3)
| product(e_2,e_3,e_4)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_758,c_0_963]),
[final] ).
cnf(c_0_1026,negated_conjecture,
( ~ product(e_1,e_4,e_2)
| product(e_2,e_3,e_5)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_250,c_0_965]),
[final] ).
cnf(c_0_1027,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_5,e_1,e_4) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_966,c_0_526]),c_0_967]),c_0_462]),
[final] ).
cnf(c_0_1028,negated_conjecture,
( ~ product(e_5,e_4,e_3)
| product(e_5,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_57,c_0_968]),
[final] ).
cnf(c_0_1029,negated_conjecture,
( ~ product(e_3,e_1,e_4)
| product(e_5,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_969,c_0_970]),c_0_971]),
[final] ).
cnf(c_0_1031,negated_conjecture,
( ~ product(e_2,e_4,e_1)
| ~ product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_709,c_0_923]),
[final] ).
cnf(c_0_1032,negated_conjecture,
( ~ product(e_3,e_5,e_2)
| product(e_1,e_3,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_888,c_0_972]),c_0_973]),
[final] ).
cnf(c_0_1033,negated_conjecture,
( ~ product(e_2,e_3,e_1)
| product(e_1,e_3,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_841,c_0_974]),c_0_928]),
[final] ).
cnf(c_0_1034,negated_conjecture,
( ~ product(e_2,e_4,X1)
| product(X1,e_3,e_4)
| product(e_3,e_2,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_975]),c_0_406]),
[final] ).
cnf(c_0_1035,negated_conjecture,
( ~ product(e_5,e_2,e_3)
| product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_429,c_0_976]),
[final] ).
cnf(c_0_1036,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_5,e_2,e_3)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_977,c_0_978]),
[final] ).
cnf(c_0_1037,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_5,e_2,e_3)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_979,c_0_978]),
[final] ).
cnf(c_0_1038,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_5,e_2,e_3)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_795,c_0_978]),
[final] ).
cnf(c_0_1039,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_5,e_2,e_3)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_980,c_0_978]),
[final] ).
cnf(c_0_1041,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_3,e_1,e_4)
| product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_919,c_0_755]),
[final] ).
cnf(c_0_1042,negated_conjecture,
( ~ product(e_2,e_5,X1)
| product(X1,e_3,e_5)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_134,c_0_895]),
[final] ).
cnf(c_0_1047,negated_conjecture,
( ~ product(e_3,e_4,X1)
| product(X1,e_1,e_4)
| product(e_3,e_5,e_2)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_134,c_0_983]),
[final] ).
cnf(c_0_1049,negated_conjecture,
( ~ product(e_5,e_3,X1)
| product(X1,e_1,e_3)
| product(e_3,e_5,e_4)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_521]),
[final] ).
cnf(c_0_1050,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_5,e_3,e_4)
| product(e_5,e_3,e_2) ),
inference(sr,[status(thm)],[c_0_985,c_0_670]),
[final] ).
cnf(c_0_1053,negated_conjecture,
( ~ product(e_2,e_4,X1)
| product(X1,e_3,e_4)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_134,c_0_986]),
[final] ).
cnf(c_0_1054,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_5,e_3,e_4)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_987,c_0_463]),
[final] ).
cnf(c_0_1055,negated_conjecture,
( ~ product(e_5,e_3,X1)
| product(X1,e_4,e_3)
| product(e_3,e_2,e_4)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_134,c_0_988]),
[final] ).
cnf(c_0_1056,negated_conjecture,
( ~ product(e_5,e_3,X1)
| product(X1,e_4,e_3)
| product(e_2,e_4,e_1)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_134,c_0_989]),
[final] ).
cnf(c_0_1058,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_3,e_5,e_2)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_733,c_0_801]),
[final] ).
cnf(c_0_1059,negated_conjecture,
( ~ product(e_2,e_5,e_1)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_542,c_0_692]),
[final] ).
cnf(c_0_1060,negated_conjecture,
( ~ product(e_3,e_4,X1)
| product(X1,e_1,e_4)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_990,c_0_719]),
[final] ).
cnf(c_0_1062,negated_conjecture,
( product(e_5,e_1,e_2)
| product(e_4,e_3,e_1)
| product(e_5,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_969,c_0_574]),
[final] ).
cnf(c_0_1063,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_5,e_3,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_992,c_0_433]),c_0_375]),
[final] ).
cnf(c_0_1065,negated_conjecture,
~ product(e_2,e_4,e_2),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_422,c_0_561]),c_0_278]),
[final] ).
cnf(c_0_1066,negated_conjecture,
( ~ product(e_3,e_5,e_4)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_210,c_0_993]),
[final] ).
cnf(c_0_1067,negated_conjecture,
( ~ product(e_2,e_4,e_1)
| product(e_4,e_5,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_994,c_0_840]),c_0_205]),
[final] ).
cnf(c_0_1068,negated_conjecture,
( ~ product(e_2,e_4,X1)
| product(X1,e_1,e_4)
| product(e_3,e_5,e_1)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_803]),
[final] ).
cnf(c_0_1072,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_2,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1000,c_0_408]),c_0_415]),
[final] ).
cnf(c_0_1079,negated_conjecture,
( ~ product(e_4,e_3,e_1)
| product(e_4,e_5,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1006,c_0_715]),c_0_121]),
[final] ).
cnf(c_0_1080,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_5,e_3,e_2)
| product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_1007,c_0_946]),
[final] ).
cnf(c_0_1081,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_5,e_2,e_3)
| product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_1007,c_0_931]),
[final] ).
cnf(c_0_1082,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_2,e_5,e_1)
| product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_1007,c_0_1008]),
[final] ).
cnf(c_0_1083,negated_conjecture,
( ~ product(e_5,e_3,X1)
| product(X1,e_2,e_3)
| product(e_2,e_4,e_1)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_1009]),
[final] ).
cnf(c_0_1084,plain,
~ product(e_2,e_2,e_3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_1010]),c_0_58])]),
[final] ).
cnf(c_0_1085,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_5,e_3,e_2)
| product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_1007,c_0_689]),
[final] ).
cnf(c_0_1086,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_2,e_3,e_4)
| product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_1011,c_0_514]),
[final] ).
cnf(c_0_1087,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_5,e_3,e_2)
| product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_930,c_0_946]),
[final] ).
cnf(c_0_1088,negated_conjecture,
( product(e_4,e_5,e_3)
| product(e_2,e_3,e_1)
| product(e_5,e_3,e_2) ),
inference(sr,[status(thm)],[c_0_1012,c_0_905]),
[final] ).
cnf(c_0_1090,negated_conjecture,
( product(e_4,e_5,e_3)
| product(e_5,e_3,e_2)
| product(e_3,e_5,e_2) ),
inference(sr,[status(thm)],[c_0_1014,c_0_905]),
[final] ).
cnf(c_0_1092,negated_conjecture,
( ~ product(e_1,e_3,X1)
| product(X1,e_4,e_3)
| product(e_3,e_5,e_4)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_1015]),
[final] ).
cnf(c_0_1093,negated_conjecture,
( ~ product(e_3,e_5,X1)
| ~ product(e_4,e_5,e_2)
| product(X1,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_134,c_0_608]),
[final] ).
cnf(c_0_1094,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_4,e_5,e_2)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_1016,c_0_618]),
[final] ).
cnf(c_0_1096,negated_conjecture,
( ~ product(e_4,e_5,X1)
| product(X1,e_3,e_5)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_134,c_0_1018]),
[final] ).
cnf(c_0_1097,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_2,e_3,e_4)
| product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_1011,c_0_1019]),
[final] ).
cnf(c_0_1098,negated_conjecture,
( ~ product(e_2,e_5,X1)
| ~ product(e_4,e_2,e_1)
| product(X1,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_134,c_0_981]),
[final] ).
cnf(c_0_1099,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_3,e_1,e_4)
| product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_955,c_0_755]),
[final] ).
cnf(c_0_1100,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_3,e_4)
| product(e_4,e_5,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_868,c_0_951]),c_0_222]),
[final] ).
cnf(c_0_1101,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_3,e_1,e_4)
| product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_1020,c_0_755]),
[final] ).
cnf(c_0_1102,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_4,e_5,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1021,c_0_951]),c_0_222]),
[final] ).
cnf(c_0_1103,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| product(e_4,e_5,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1022,c_0_951]),c_0_222]),
[final] ).
cnf(c_0_1104,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_3,e_1,e_4)
| product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_677,c_0_755]),
[final] ).
cnf(c_0_1105,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_2,e_3,e_4)
| product(e_4,e_5,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1023,c_0_951]),c_0_222]),
[final] ).
cnf(c_0_1106,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_2,e_3,e_4)
| product(e_4,e_5,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1024,c_0_1025]),c_0_222]),
[final] ).
cnf(c_0_1107,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_5)
| product(e_5,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_1026,c_0_624]),
[final] ).
cnf(c_0_1108,negated_conjecture,
( product(e_5,e_4,e_2)
| product(e_4,e_5,e_2)
| product(e_2,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_888,c_0_715]),c_0_890]),
[final] ).
cnf(c_0_1109,negated_conjecture,
( ~ product(e_1,e_5,X1)
| product(X1,e_4,e_5)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_134,c_0_1027]),
[final] ).
cnf(c_0_1110,negated_conjecture,
( ~ product(e_3,e_1,e_4)
| product(e_5,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_1028,c_0_970]),
[final] ).
cnf(c_0_1111,negated_conjecture,
( ~ product(e_3,e_1,e_4)
| ~ product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_182,c_0_1029]),
[final] ).
cnf(c_0_1112,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_2,e_3,e_4)
| product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_1011,c_0_823]),
[final] ).
cnf(c_0_1117,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_3,e_1,e_4)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_1020,c_0_678]),
[final] ).
cnf(c_0_1118,negated_conjecture,
( ~ product(e_4,e_5,e_3)
| product(e_1,e_4,e_3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_810,c_0_509]),c_0_1031]),c_0_846]),
[final] ).
cnf(c_0_1119,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_3,e_1,e_4)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_754,c_0_678]),
[final] ).
cnf(c_0_1120,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_3,e_1,e_4)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_919,c_0_678]),
[final] ).
cnf(c_0_1121,negated_conjecture,
( ~ product(e_5,e_2,e_3)
| product(e_5,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_867,c_0_638]),
[final] ).
cnf(c_0_1122,negated_conjecture,
( ~ product(e_3,e_5,e_2)
| ~ product(e_1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_138,c_0_1032]),
[final] ).
cnf(c_0_1123,negated_conjecture,
( ~ product(e_2,e_5,e_1)
| ~ product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_290,c_0_529]),
[final] ).
cnf(c_0_1124,negated_conjecture,
( ~ product(e_2,e_3,e_1)
| ~ product(e_1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_138,c_0_1033]),
[final] ).
cnf(c_0_1125,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_5,e_2,e_3)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_548,c_0_533]),
[final] ).
cnf(c_0_1126,negated_conjecture,
( ~ product(e_2,e_3,e_4)
| product(e_3,e_2,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1034,c_0_226]),c_0_102]),
[final] ).
cnf(c_0_1127,negated_conjecture,
( product(e_4,e_5,e_3)
| product(e_3,e_1,e_4)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_1035,c_0_1036]),
[final] ).
cnf(c_0_1128,negated_conjecture,
( product(e_4,e_5,e_3)
| product(e_3,e_1,e_4)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1035,c_0_1037]),
[final] ).
cnf(c_0_1129,negated_conjecture,
( product(e_4,e_5,e_3)
| product(e_3,e_1,e_4)
| product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_1035,c_0_1038]),
[final] ).
cnf(c_0_1130,negated_conjecture,
( product(e_4,e_5,e_3)
| product(e_3,e_1,e_4)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_1035,c_0_1039]),
[final] ).
cnf(c_0_1131,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_5,e_4,e_2)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_1040,c_0_1041]),
[final] ).
cnf(c_0_1132,negated_conjecture,
( ~ product(e_4,e_2,e_1)
| product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_118,c_0_976]),
[final] ).
cnf(c_0_1133,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_5,e_2,e_3)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_639,c_0_533]),
[final] ).
cnf(c_0_1135,negated_conjecture,
( product(e_4,e_2,e_3)
| product(e_1,e_3,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1042,c_0_737]),c_0_611]),
[final] ).
cnf(c_0_1136,negated_conjecture,
( ~ product(e_3,e_5,e_1)
| ~ product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_232,c_0_701]),
[final] ).
cnf(c_0_1140,negated_conjecture,
( ~ product(e_5,e_4,e_3)
| product(e_5,e_1,e_2)
| product(e_3,e_4,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_257,c_0_570]),c_0_130]),
[final] ).
cnf(c_0_1144,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_3,e_5,e_1)
| product(e_4,e_5,e_3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_250,c_0_1046]),c_0_58])]),
[final] ).
cnf(c_0_1145,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_5,e_3,e_2)
| product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_769,c_0_689]),
[final] ).
cnf(c_0_1147,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_5,e_3,e_2)
| product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_892,c_0_689]),
[final] ).
cnf(c_0_1148,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_5,e_1,e_4) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1047,c_0_526]),c_0_1048]),c_0_462]),
[final] ).
cnf(c_0_1151,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_3,e_5,e_4)
| product(e_5,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1049,c_0_1050]),c_0_547]),
[final] ).
cnf(c_0_1152,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_3,e_5,e_4)
| product(e_5,e_3,e_2) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1051,c_0_1050]),c_0_858]),c_0_547]),
[final] ).
cnf(c_0_1154,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_5,e_3,e_4)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_1053,c_0_463]),
[final] ).
cnf(c_0_1156,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_3,e_2,e_4)
| product(e_1,e_4,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1055,c_0_789]),c_0_759]),
[final] ).
cnf(c_0_1157,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_3,e_5,e_2)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_936,c_0_556]),
[final] ).
cnf(c_0_1158,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_2,e_4,e_1)
| product(e_1,e_4,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1056,c_0_789]),c_0_1009]),
[final] ).
cnf(c_0_1160,negated_conjecture,
( ~ product(e_4,e_3,X1)
| ~ product(e_3,e_2,e_4)
| product(X1,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_134,c_0_750]),
[final] ).
cnf(c_0_1161,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_2,e_3,e_1)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_783,c_0_549]),
[final] ).
cnf(c_0_1162,negated_conjecture,
( ~ product(e_3,e_5,X1)
| ~ product(e_3,e_2,e_4)
| product(X1,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_134,c_0_550]),
[final] ).
cnf(c_0_1164,negated_conjecture,
( ~ product(e_5,e_4,e_3)
| ~ product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_762,c_0_570]),
[final] ).
cnf(c_0_1165,negated_conjecture,
( ~ product(e_2,e_5,e_1)
| ~ product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_280,c_0_1059]),
[final] ).
cnf(c_0_1166,negated_conjecture,
( ~ product(e_1,e_4,e_2)
| product(e_3,e_4,e_5)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_250,c_0_792]),
[final] ).
cnf(c_0_1167,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_5,e_1,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1060,c_0_598]),c_0_462]),
[final] ).
cnf(c_0_1168,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_250,c_0_1061]),c_0_58])]),
[final] ).
cnf(c_0_1169,negated_conjecture,
( ~ product(e_3,e_1,e_2)
| product(e_5,e_4,e_2)
| product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_83,c_0_1062]),
[final] ).
cnf(c_0_1172,negated_conjecture,
( ~ product(e_3,e_4,X1)
| product(X1,e_2,e_4)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_314]),
[final] ).
cnf(c_0_1173,negated_conjecture,
( product(e_1,e_5,e_3)
| product(e_2,e_4,e_5) ),
inference(sr,[status(thm)],[c_0_940,c_0_1065]),
[final] ).
cnf(c_0_1174,negated_conjecture,
( ~ product(e_1,e_5,X1)
| product(X1,e_2,e_5)
| product(e_4,e_3,e_1)
| product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_360]),
[final] ).
cnf(c_0_1175,negated_conjecture,
( ~ product(e_2,e_3,e_4)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_542,c_0_401]),
[final] ).
cnf(c_0_1176,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_3,e_4,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_897,c_0_532]),c_0_1066]),
[final] ).
cnf(c_0_1177,negated_conjecture,
( ~ product(e_2,e_4,e_1)
| ~ product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_219,c_0_1067]),
[final] ).
cnf(c_0_1178,negated_conjecture,
( ~ product(e_2,e_3,e_5)
| product(e_3,e_5,e_1) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1068,c_0_545]),c_0_273]),c_0_280]),
[final] ).
cnf(c_0_1179,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_5,e_1)
| product(e_3,e_5,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_439,c_0_657]),c_0_441]),
[final] ).
cnf(c_0_1180,negated_conjecture,
( ~ product(e_4,e_1,X1)
| ~ product(e_4,e_5,e_2)
| product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_587]),
[final] ).
cnf(c_0_1181,negated_conjecture,
( ~ product(e_3,e_4,X1)
| product(X1,e_2,e_4)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_134,c_0_283]),
[final] ).
cnf(c_0_1182,negated_conjecture,
( ~ product(e_1,e_4,e_2)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_250,c_0_486]),
[final] ).
cnf(c_0_1183,negated_conjecture,
( ~ product(e_5,e_3,X1)
| product(X1,e_1,e_3)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_993]),
[final] ).
cnf(c_0_1184,negated_conjecture,
( ~ product(e_2,e_3,e_1)
| product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_389,c_0_447]),
[final] ).
cnf(c_0_1189,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_2,e_4,e_5) ),
inference(sr,[status(thm)],[c_0_1070,c_0_1065]),
[final] ).
cnf(c_0_1190,negated_conjecture,
( product(e_5,e_3,e_2)
| product(e_2,e_4,e_5) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1071,c_0_1072]),c_0_350]),c_0_351]),
[final] ).
cnf(c_0_1195,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_4,e_2,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_1074]),c_0_412]),
[final] ).
cnf(c_0_1198,negated_conjecture,
( ~ product(e_5,e_1,X1)
| product(X1,e_2,e_1)
| product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_902,c_0_338]),
[final] ).
cnf(c_0_1199,negated_conjecture,
( product(e_5,e_1,e_2)
| product(e_3,e_4,e_5)
| product(e_4,e_5,e_3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_1076]),c_0_252])]),
[final] ).
cnf(c_0_1200,negated_conjecture,
~ product(e_2,e_2,e_1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_1077]),c_0_252])]),
[final] ).
cnf(c_0_1201,negated_conjecture,
( ~ product(e_4,e_3,e_1)
| product(e_5,e_3,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1078,c_0_1079]),c_0_121]),
[final] ).
cnf(c_0_1202,plain,
( ~ product(e_1,e_2,e_5)
| product(e_1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_232,c_0_431]),
[final] ).
cnf(c_0_1203,negated_conjecture,
( ~ product(e_3,e_5,X1)
| product(X1,e_2,e_5)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_1080]),
[final] ).
cnf(c_0_1204,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_977,c_0_1080]),
[final] ).
cnf(c_0_1205,negated_conjecture,
( ~ product(e_3,e_5,X1)
| product(X1,e_2,e_5)
| product(e_5,e_2,e_3)
| product(e_4,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_1081]),
[final] ).
cnf(c_0_1206,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_5,e_2,e_3)
| product(e_4,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_977,c_0_1081]),
[final] ).
cnf(c_0_1207,negated_conjecture,
( ~ product(e_3,e_5,X1)
| product(X1,e_2,e_5)
| product(e_2,e_5,e_1)
| product(e_4,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_1082]),
[final] ).
cnf(c_0_1208,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_2,e_4,e_1)
| product(e_4,e_5,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1083,c_0_1082]),c_0_1084]),
[final] ).
cnf(c_0_1209,negated_conjecture,
( ~ product(e_3,e_5,X1)
| product(X1,e_2,e_5)
| product(e_4,e_2,e_1)
| product(e_4,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_1085]),
[final] ).
cnf(c_0_1210,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_4,e_2,e_1)
| product(e_4,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_977,c_0_1085]),
[final] ).
cnf(c_0_1211,negated_conjecture,
( ~ product(e_3,e_5,X1)
| product(X1,e_2,e_5)
| product(e_2,e_3,e_4)
| product(e_4,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_1086]),
[final] ).
cnf(c_0_1212,negated_conjecture,
( ~ product(e_3,e_5,X1)
| product(X1,e_2,e_5)
| product(e_4,e_5,e_3)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_134,c_0_1087]),
[final] ).
cnf(c_0_1213,negated_conjecture,
( ~ product(e_3,e_5,X1)
| product(X1,e_2,e_5)
| product(e_2,e_3,e_1)
| product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_134,c_0_1088]),
[final] ).
cnf(c_0_1214,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_4,e_1)
| product(e_4,e_5,e_3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_250,c_0_1089]),c_0_58])]),
[final] ).
cnf(c_0_1215,negated_conjecture,
( ~ product(e_3,e_5,X1)
| product(X1,e_2,e_5)
| product(e_3,e_5,e_2)
| product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_134,c_0_1090]),
[final] ).
cnf(c_0_1216,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_2,e_4,e_1)
| product(e_4,e_5,e_3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_250,c_0_1091]),c_0_58])]),
[final] ).
cnf(c_0_1217,negated_conjecture,
( ~ product(e_3,e_5,X1)
| product(X1,e_2,e_5)
| product(e_3,e_5,e_4)
| product(e_4,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_779]),
[final] ).
cnf(c_0_1218,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_3,e_5,e_4)
| product(e_4,e_5,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1092,c_0_724]),c_0_222]),
[final] ).
cnf(c_0_1219,negated_conjecture,
( ~ product(e_3,e_5,X1)
| product(X1,e_2,e_5)
| product(e_5,e_2,e_3)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_134,c_0_978]),
[final] ).
cnf(c_0_1220,negated_conjecture,
( ~ product(e_3,e_5,X1)
| product(X1,e_2,e_5)
| product(e_3,e_1,e_4)
| product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_1093,c_0_755]),
[final] ).
cnf(c_0_1221,negated_conjecture,
( ~ product(e_3,e_5,X1)
| product(X1,e_2,e_5)
| product(e_3,e_1,e_4)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1093,c_0_1094]),
[final] ).
cnf(c_0_1222,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_3,e_1,e_4)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_955,c_0_1094]),
[final] ).
cnf(c_0_1223,negated_conjecture,
( ~ product(e_3,e_5,X1)
| product(X1,e_2,e_5)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1093,c_0_865]),
[final] ).
cnf(c_0_1224,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_955,c_0_865]),
[final] ).
cnf(c_0_1225,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_5,e_4,e_2)
| product(e_5,e_3,e_2) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_1095,c_0_905]),c_0_930]),
[final] ).
cnf(c_0_1226,negated_conjecture,
( ~ product(e_2,e_5,X1)
| product(X1,e_3,e_5)
| product(e_3,e_1,e_4)
| product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_1038]),
[final] ).
cnf(c_0_1228,negated_conjecture,
( ~ product(e_2,e_5,X1)
| product(X1,e_3,e_5)
| product(e_3,e_1,e_4)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_1098,c_0_1099]),
[final] ).
cnf(c_0_1230,negated_conjecture,
( ~ product(e_2,e_5,X1)
| product(X1,e_3,e_5)
| product(e_3,e_1,e_4)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_1098,c_0_1101]),
[final] ).
cnf(c_0_1232,negated_conjecture,
( ~ product(e_2,e_5,X1)
| product(X1,e_3,e_5)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_1098,c_0_784]),
[final] ).
cnf(c_0_1234,negated_conjecture,
( ~ product(e_2,e_5,X1)
| product(X1,e_3,e_5)
| product(e_3,e_1,e_4)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1098,c_0_1104]),
[final] ).
cnf(c_0_1236,negated_conjecture,
( ~ product(e_2,e_5,X1)
| product(X1,e_3,e_5)
| product(e_3,e_1,e_4)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_1098,c_0_1041]),
[final] ).
cnf(c_0_1238,negated_conjecture,
( ~ product(e_5,e_3,e_2)
| product(e_2,e_3,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_1107]),c_0_809]),
[final] ).
cnf(c_0_1239,negated_conjecture,
( ~ product(e_5,e_3,e_2)
| product(e_4,e_5,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_205,c_0_1108]),c_0_809]),
[final] ).
cnf(c_0_1240,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_3,e_4,e_5)
| product(e_1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_1109,c_0_172]),
[final] ).
cnf(c_0_1241,negated_conjecture,
( product(e_1,e_5,e_2)
| product(e_4,e_3,e_1)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_215,c_0_1027]),
[final] ).
cnf(c_0_1242,negated_conjecture,
( ~ product(e_3,e_1,e_4)
| product(e_5,e_3,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_856,c_0_1110]),c_0_1111]),
[final] ).
cnf(c_0_1243,negated_conjecture,
( ~ product(e_1,e_5,X1)
| ~ product(e_3,e_1,e_4)
| product(X1,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_134,c_0_1029]),
[final] ).
cnf(c_0_1244,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_3,e_1,e_4)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_677,c_0_1094]),
[final] ).
cnf(c_0_1245,negated_conjecture,
( ~ product(e_1,e_4,e_3)
| product(e_4,e_5,e_3)
| product(e_5,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1002,c_0_329]),c_0_241]),
[final] ).
cnf(c_0_1246,negated_conjecture,
( ~ product(e_2,e_5,X1)
| product(X1,e_3,e_5)
| product(e_4,e_5,e_2)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_714,c_0_618]),
[final] ).
cnf(c_0_1248,negated_conjecture,
( ~ product(e_3,e_5,X1)
| product(X1,e_2,e_5)
| product(e_3,e_1,e_4)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_1093,c_0_678]),
[final] ).
cnf(c_0_1249,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_5,e_1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_1113]),c_0_252])]),
[final] ).
cnf(c_0_1250,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_2,e_4,e_1)
| product(e_5,e_1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_1114]),c_0_252])]),
[final] ).
cnf(c_0_1251,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_3,e_4)
| product(e_5,e_1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_1115]),c_0_252])]),
[final] ).
cnf(c_0_1252,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_3,e_2,e_4)
| product(e_5,e_1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_1116]),c_0_252])]),
[final] ).
cnf(c_0_1256,negated_conjecture,
( ~ product(e_4,e_1,X1)
| ~ product(e_4,e_5,e_3)
| product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_1118]),
[final] ).
cnf(c_0_1257,negated_conjecture,
( ~ product(e_5,e_1,X1)
| ~ product(e_4,e_5,e_3)
| product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_483]),
[final] ).
cnf(c_0_1258,negated_conjecture,
( ~ product(e_1,e_3,X1)
| product(X1,e_4,e_3)
| product(e_3,e_5,e_4)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_134,c_0_1117]),
[final] ).
cnf(c_0_1259,negated_conjecture,
( ~ product(e_1,e_3,X1)
| product(X1,e_4,e_3)
| product(e_3,e_5,e_4)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_134,c_0_1119]),
[final] ).
cnf(c_0_1260,negated_conjecture,
( ~ product(e_1,e_3,X1)
| product(X1,e_4,e_3)
| product(e_3,e_5,e_4)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_700]),
[final] ).
cnf(c_0_1261,negated_conjecture,
( ~ product(e_1,e_3,X1)
| product(X1,e_4,e_3)
| product(e_3,e_5,e_4)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_134,c_0_1120]),
[final] ).
cnf(c_0_1263,negated_conjecture,
( ~ product(e_3,e_5,X1)
| ~ product(e_5,e_2,e_3)
| product(X1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_134,c_0_1121]),
[final] ).
cnf(c_0_1264,negated_conjecture,
( ~ product(e_4,e_5,X1)
| ~ product(e_5,e_2,e_3)
| product(X1,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_134,c_0_638]),
[final] ).
cnf(c_0_1265,negated_conjecture,
( ~ product(e_4,e_3,e_2)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_118,c_0_1080]),
[final] ).
cnf(c_0_1266,negated_conjecture,
( ~ product(e_4,e_3,e_2)
| product(e_5,e_2,e_3)
| product(e_4,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_118,c_0_1081]),
[final] ).
cnf(c_0_1267,negated_conjecture,
( ~ product(e_4,e_3,e_2)
| product(e_2,e_5,e_1)
| product(e_4,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_118,c_0_1082]),
[final] ).
cnf(c_0_1268,negated_conjecture,
( ~ product(e_4,e_3,e_2)
| product(e_4,e_2,e_1)
| product(e_4,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_118,c_0_1085]),
[final] ).
cnf(c_0_1269,negated_conjecture,
( ~ product(e_5,e_3,e_4)
| ~ product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_83,c_0_903]),
[final] ).
cnf(c_0_1270,negated_conjecture,
( ~ product(e_3,e_5,e_2)
| product(e_5,e_4,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1122,c_0_820]),c_0_1123]),
[final] ).
cnf(c_0_1271,negated_conjecture,
( ~ product(e_4,e_3,e_1)
| ~ product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_120,c_0_1079]),
[final] ).
cnf(c_0_1272,negated_conjecture,
( ~ product(e_2,e_3,e_1)
| product(e_5,e_4,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1124,c_0_820]),c_0_219]),
[final] ).
cnf(c_0_1277,negated_conjecture,
( ~ product(e_2,e_3,e_4)
| ~ product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_138,c_0_1126]),
[final] ).
cnf(c_0_1279,negated_conjecture,
( ~ product(e_4,e_3,e_2)
| product(e_4,e_5,e_3)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_118,c_0_1087]),
[final] ).
cnf(c_0_1280,negated_conjecture,
( product(e_5,e_4,e_2)
| product(e_2,e_4,e_1)
| product(e_3,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_888,c_0_1127]),c_0_890]),
[final] ).
cnf(c_0_1281,negated_conjecture,
( product(e_5,e_4,e_2)
| product(e_3,e_5,e_1)
| product(e_3,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_888,c_0_1128]),c_0_890]),
[final] ).
cnf(c_0_1282,negated_conjecture,
( product(e_5,e_4,e_2)
| product(e_4,e_3,e_1)
| product(e_3,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_888,c_0_1129]),c_0_890]),
[final] ).
cnf(c_0_1283,negated_conjecture,
( product(e_5,e_4,e_2)
| product(e_3,e_2,e_4)
| product(e_3,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_888,c_0_1130]),c_0_890]),
[final] ).
cnf(c_0_1284,negated_conjecture,
( ~ product(e_4,e_3,e_2)
| product(e_2,e_3,e_1)
| product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_118,c_0_1088]),
[final] ).
cnf(c_0_1285,negated_conjecture,
( ~ product(e_4,e_3,e_2)
| product(e_3,e_5,e_2)
| product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_118,c_0_1090]),
[final] ).
cnf(c_0_1286,negated_conjecture,
( ~ product(e_2,e_5,e_1)
| ~ product(e_5,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_232,c_0_789]),
[final] ).
cnf(c_0_1287,negated_conjecture,
( product(e_5,e_3,e_1)
| product(e_3,e_1,e_4)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_867,c_0_1131]),
[final] ).
cnf(c_0_1288,negated_conjecture,
( ~ product(e_2,e_3,e_4)
| ~ product(e_5,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_232,c_0_635]),
[final] ).
cnf(c_0_1289,negated_conjecture,
( ~ product(e_4,e_2,e_1)
| product(e_5,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_888,c_0_1132]),c_0_890]),
[final] ).
cnf(c_0_1292,negated_conjecture,
( ~ product(e_4,e_3,e_2)
| product(e_5,e_2,e_3)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_118,c_0_978]),
[final] ).
cnf(c_0_1293,plain,
( product(e_5,e_1,e_2)
| product(e_5,e_2,e_3)
| product(e_5,e_3,e_2) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_1134,c_0_575]),c_0_670]),
[final] ).
cnf(c_0_1294,negated_conjecture,
( ~ product(e_4,e_3,e_2)
| product(e_3,e_1,e_4)
| product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_219,c_0_755]),
[final] ).
cnf(c_0_1295,negated_conjecture,
( ~ product(e_4,e_3,e_2)
| product(e_3,e_1,e_4)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_219,c_0_1094]),
[final] ).
cnf(c_0_1296,negated_conjecture,
( ~ product(e_4,e_3,e_2)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_219,c_0_865]),
[final] ).
cnf(c_0_1297,negated_conjecture,
( product(e_5,e_4,e_2)
| product(e_4,e_5,e_2)
| product(e_3,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_888,c_0_618]),c_0_890]),
[final] ).
cnf(c_0_1298,negated_conjecture,
( ~ product(e_1,e_3,e_4)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_138,c_0_1135]),
[final] ).
cnf(c_0_1299,negated_conjecture,
( ~ product(e_3,e_5,e_1)
| product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_1136,c_0_823]),
[final] ).
cnf(c_0_1300,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_5,e_1,e_2)
| product(e_5,e_3,e_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_1137]),c_0_252])]),
[final] ).
cnf(c_0_1301,negated_conjecture,
( product(e_5,e_1,e_2)
| product(e_3,e_4,e_5)
| product(e_5,e_3,e_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_1138]),c_0_252])]),
[final] ).
cnf(c_0_1302,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_5,e_3,e_2)
| product(e_5,e_1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_1139]),c_0_252])]),
[final] ).
cnf(c_0_1303,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_5,e_1,e_2)
| product(e_5,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_1140,c_0_800]),
[final] ).
cnf(c_0_1305,negated_conjecture,
( product(e_5,e_4,e_2)
| product(e_3,e_5,e_1)
| product(e_3,e_5,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_888,c_0_1144]),c_0_890]),
[final] ).
cnf(c_0_1306,negated_conjecture,
( ~ product(e_3,e_5,X1)
| product(X1,e_2,e_5)
| product(e_4,e_2,e_1)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_1145]),
[final] ).
cnf(c_0_1307,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_2,e_3,e_1)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_400,c_0_1146]),
[final] ).
cnf(c_0_1308,negated_conjecture,
( ~ product(e_3,e_5,X1)
| product(X1,e_2,e_5)
| product(e_4,e_2,e_1)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_134,c_0_1147]),
[final] ).
cnf(c_0_1309,negated_conjecture,
( ~ product(e_3,e_5,X1)
| product(X1,e_2,e_5)
| product(e_5,e_2,e_3)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_134,c_0_672]),
[final] ).
cnf(c_0_1310,negated_conjecture,
( ~ product(e_3,e_5,X1)
| product(X1,e_2,e_5)
| product(e_5,e_2,e_3)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_796]),
[final] ).
cnf(c_0_1311,negated_conjecture,
( ~ product(e_4,e_3,e_2)
| product(e_3,e_1,e_4)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_219,c_0_678]),
[final] ).
cnf(c_0_1312,negated_conjecture,
( product(e_1,e_5,e_2)
| product(e_4,e_3,e_1)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_215,c_0_1148]),
[final] ).
cnf(c_0_1313,negated_conjecture,
( ~ product(e_3,e_5,X1)
| product(X1,e_2,e_5)
| product(e_2,e_3,e_4)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_134,c_0_934]),
[final] ).
cnf(c_0_1314,negated_conjecture,
( product(e_5,e_3,e_2)
| product(e_2,e_5,e_1)
| product(e_5,e_1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_1149]),c_0_252])]),
[final] ).
cnf(c_0_1315,negated_conjecture,
( product(e_5,e_3,e_2)
| product(e_2,e_3,e_4)
| product(e_5,e_1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_1150]),c_0_252])]),
[final] ).
cnf(c_0_1316,negated_conjecture,
( ~ product(e_3,e_5,X1)
| product(X1,e_2,e_5)
| product(e_3,e_5,e_4)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_1151]),
[final] ).
cnf(c_0_1317,negated_conjecture,
( ~ product(e_3,e_5,X1)
| product(X1,e_2,e_5)
| product(e_3,e_5,e_4)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_134,c_0_1152]),
[final] ).
cnf(c_0_1318,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_5,e_1,e_2)
| product(e_4,e_3,e_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_1153]),c_0_252])]),
[final] ).
cnf(c_0_1320,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_2,e_3,e_5)
| product(e_5,e_1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_1155]),c_0_252])]),
[final] ).
cnf(c_0_1321,negated_conjecture,
( ~ product(e_1,e_4,e_2)
| product(e_3,e_2,e_4)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_186,c_0_1156]),
[final] ).
cnf(c_0_1322,negated_conjecture,
( ~ product(e_5,e_3,X1)
| product(X1,e_4,e_3)
| product(e_2,e_3,e_5)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_134,c_0_1157]),
[final] ).
cnf(c_0_1323,negated_conjecture,
( ~ product(e_1,e_4,e_2)
| product(e_2,e_4,e_1)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_186,c_0_1158]),
[final] ).
cnf(c_0_1324,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_3,e_4,e_5)
| product(e_5,e_1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_1159]),c_0_252])]),
[final] ).
cnf(c_0_1325,negated_conjecture,
( ~ product(e_3,e_5,X1)
| product(X1,e_2,e_5)
| product(e_3,e_5,e_2)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_956]),
[final] ).
cnf(c_0_1326,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_3,e_5,e_2)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_733,c_0_640]),
[final] ).
cnf(c_0_1327,negated_conjecture,
( ~ product(e_4,e_3,X1)
| product(X1,e_5,e_3)
| product(e_2,e_3,e_1)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1160,c_0_1161]),
[final] ).
cnf(c_0_1328,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_2,e_3,e_1)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_795,c_0_909]),
[final] ).
cnf(c_0_1329,negated_conjecture,
( ~ product(e_3,e_5,X1)
| product(X1,e_2,e_5)
| product(e_2,e_3,e_1)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1162,c_0_1161]),
[final] ).
cnf(c_0_1330,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_2,e_3,e_1)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_783,c_0_640]),
[final] ).
cnf(c_0_1331,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_4,e_5)
| product(e_5,e_1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_1163]),c_0_252])]),
[final] ).
cnf(c_0_1332,negated_conjecture,
( ~ product(e_3,e_4,X1)
| product(X1,e_1,e_4)
| product(e_3,e_5,e_2)
| product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_686]),
[final] ).
cnf(c_0_1334,negated_conjecture,
( ~ product(e_5,e_4,e_3)
| product(e_2,e_3,e_1)
| product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_57,c_0_827]),
[final] ).
cnf(c_0_1335,negated_conjecture,
( ~ product(e_5,e_4,e_3)
| product(e_2,e_3,e_1)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_891,c_0_570]),
[final] ).
cnf(c_0_1336,negated_conjecture,
( ~ product(e_3,e_5,X1)
| product(X1,e_2,e_5)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_1162,c_0_719]),
[final] ).
cnf(c_0_1338,negated_conjecture,
( product(e_5,e_3,e_1)
| product(e_3,e_5,e_2)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_867,c_0_874]),
[final] ).
cnf(c_0_1339,negated_conjecture,
( ~ product(e_2,e_5,e_1)
| product(e_5,e_4,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1164,c_0_800]),c_0_1165]),
[final] ).
cnf(c_0_1340,negated_conjecture,
( ~ product(e_5,e_4,e_3)
| product(e_2,e_3,e_1)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_1166,c_0_570]),
[final] ).
cnf(c_0_1341,negated_conjecture,
( product(e_1,e_5,e_2)
| product(e_4,e_3,e_1)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_215,c_0_1167]),
[final] ).
cnf(c_0_1342,negated_conjecture,
( ~ product(e_3,e_1,e_2)
| product(e_3,e_5,e_4)
| product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_83,c_0_859]),
[final] ).
cnf(c_0_1343,negated_conjecture,
( ~ product(e_5,e_3,X1)
| product(X1,e_4,e_3)
| product(e_2,e_3,e_5)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_837]),
[final] ).
cnf(c_0_1344,negated_conjecture,
( ~ product(e_5,e_3,X1)
| product(X1,e_4,e_3)
| product(e_3,e_4,e_5)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_504]),
[final] ).
cnf(c_0_1345,negated_conjecture,
( product(e_5,e_4,e_2)
| product(e_4,e_5,e_2)
| product(e_3,e_5,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_888,c_0_1168]),c_0_890]),
[final] ).
cnf(c_0_1346,negated_conjecture,
( ~ product(e_4,e_3,e_2)
| product(e_3,e_5,e_2)
| product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_149,c_0_686]),
[final] ).
cnf(c_0_1347,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_5,e_4,e_2)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_1169,c_0_488]),
[final] ).
cnf(c_0_1348,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_5,e_4,e_2)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_1169,c_0_375]),
[final] ).
cnf(c_0_1349,negated_conjecture,
( ~ product(e_5,e_4,X1)
| product(X1,e_3,e_4)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_134,c_0_520]),
[final] ).
cnf(c_0_1350,negated_conjecture,
~ product(e_3,e_3,e_4),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_1170]),c_0_1171]),
[final] ).
cnf(c_0_1351,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_2,e_4,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1172,c_0_408]),c_0_415]),
[final] ).
cnf(c_0_1352,negated_conjecture,
( ~ product(e_4,e_5,e_3)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_110,c_0_1173]),
[final] ).
cnf(c_0_1353,negated_conjecture,
( ~ product(e_1,e_4,e_3)
| product(e_4,e_2,e_1)
| product(e_4,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1174,c_0_329]),c_0_241]),
[final] ).
cnf(c_0_1354,negated_conjecture,
( ~ product(e_5,e_4,e_3)
| ~ product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_623,c_0_570]),
[final] ).
cnf(c_0_1355,negated_conjecture,
( ~ product(e_2,e_3,e_4)
| ~ product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_280,c_0_1175]),
[final] ).
cnf(c_0_1356,negated_conjecture,
( ~ product(e_3,e_4,X1)
| product(X1,e_1,e_4)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_1176]),
[final] ).
cnf(c_0_1357,negated_conjecture,
( ~ product(e_2,e_4,e_1)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_1177,c_0_283]),
[final] ).
cnf(c_0_1358,negated_conjecture,
( ~ product(e_2,e_4,e_1)
| ~ product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_210,c_0_878]),
[final] ).
cnf(c_0_1359,negated_conjecture,
( ~ product(e_2,e_3,e_5)
| ~ product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_210,c_0_1178]),
[final] ).
cnf(c_0_1360,negated_conjecture,
( ~ product(e_3,e_4,e_1)
| product(e_3,e_5,e_2)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_250,c_0_1179]),
[final] ).
cnf(c_0_1361,negated_conjecture,
( ~ product(e_3,e_2,e_5)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_542,c_0_405]),
[final] ).
cnf(c_0_1362,plain,
( ~ product(e_4,e_2,e_1)
| product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_232,c_0_725]),
[final] ).
cnf(c_0_1363,negated_conjecture,
( ~ product(e_4,e_3,e_1)
| product(e_5,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_118,c_0_558]),
[final] ).
cnf(c_0_1365,negated_conjecture,
( ~ product(e_4,e_1,X1)
| product(X1,e_2,e_1)
| product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_1180,c_0_882]),
[final] ).
cnf(c_0_1366,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_2,e_4,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1181,c_0_408]),c_0_415]),
[final] ).
cnf(c_0_1368,negated_conjecture,
( ~ product(e_3,e_4,X1)
| product(X1,e_1,e_4)
| product(e_2,e_3,e_1)
| product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_388]),
[final] ).
cnf(c_0_1369,negated_conjecture,
( ~ product(e_4,e_5,e_3)
| product(e_3,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1183,c_0_509]),c_0_687]),
[final] ).
cnf(c_0_1370,negated_conjecture,
( ~ product(e_2,e_3,e_1)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_542,c_0_1184]),
[final] ).
cnf(c_0_1371,negated_conjecture,
( ~ product(e_4,e_1,X1)
| product(X1,e_2,e_1)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_134,c_0_629]),
[final] ).
cnf(c_0_1373,negated_conjecture,
( ~ product(e_2,e_3,e_5)
| ~ product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_572,c_0_567]),
[final] ).
cnf(c_0_1374,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_5,e_2,e_1) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1183,c_0_546]),c_0_687]),c_0_1186]),
[final] ).
cnf(c_0_1375,negated_conjecture,
( ~ product(e_4,e_1,X1)
| product(X1,e_2,e_1)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_134,c_0_381]),
[final] ).
cnf(c_0_1377,plain,
( ~ product(e_5,e_3,e_4)
| product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_57,c_0_376]),
[final] ).
cnf(c_0_1378,negated_conjecture,
( ~ product(e_3,e_2,e_5)
| product(e_2,e_3,e_1)
| product(e_5,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_548,c_0_393]),
[final] ).
cnf(c_0_1379,negated_conjecture,
( ~ product(e_5,e_3,e_4)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_182,c_0_843]),
[final] ).
cnf(c_0_1381,negated_conjecture,
( ~ product(e_3,e_5,X1)
| product(X1,e_2,e_5)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_532]),
[final] ).
cnf(c_0_1382,negated_conjecture,
( ~ product(e_4,e_1,X1)
| product(X1,e_2,e_1)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_134,c_0_1189]),
[final] ).
cnf(c_0_1383,negated_conjecture,
( ~ product(e_3,e_5,X1)
| product(X1,e_2,e_5)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_134,c_0_1190]),
[final] ).
cnf(c_0_1385,negated_conjecture,
( ~ product(e_5,e_4,e_2)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_57,c_0_1189]),
[final] ).
cnf(c_0_1387,negated_conjecture,
( product(e_4,e_2,e_3)
| product(e_2,e_4,e_5) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1193,c_0_1072]),c_0_417]),c_0_273]),
[final] ).
cnf(c_0_1388,negated_conjecture,
( ~ product(e_3,e_4,X1)
| product(X1,e_2,e_4)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_134,c_0_551]),
[final] ).
cnf(c_0_1390,negated_conjecture,
( ~ product(e_2,e_1,X1)
| product(X1,e_4,e_1)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_134,c_0_471]),
[final] ).
cnf(c_0_1391,negated_conjecture,
( ~ product(e_2,e_4,X1)
| product(X1,e_1,e_4)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_134,c_0_1195]),
[final] ).
cnf(c_0_1394,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_4,e_5,e_3)
| product(e_3,e_4,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1198,c_0_1199]),c_0_1200]),
[final] ).
cnf(c_0_1395,negated_conjecture,
( ~ product(e_1,e_5,X1)
| product(X1,e_2,e_5)
| product(e_4,e_5,e_3)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_134,c_0_1199]),
[final] ).
cnf(c_0_1397,negated_conjecture,
( ~ product(e_3,e_1,e_2)
| product(e_4,e_5,e_3)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_83,c_0_1199]),
[final] ).
cnf(c_0_1398,negated_conjecture,
( ~ product(e_3,e_5,e_4)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_72,c_0_630]),
[final] ).
cnf(c_0_1399,negated_conjecture,
( ~ product(e_3,e_1,X1)
| ~ product(e_1,e_2,e_5)
| product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_1202]),
[final] ).
cnf(c_0_1400,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_4,e_5,e_3)
| product(e_1,e_2,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1203,c_0_878]),c_0_1204]),
[final] ).
cnf(c_0_1401,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_5,e_2,e_3)
| product(e_1,e_2,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1205,c_0_878]),c_0_1206]),
[final] ).
cnf(c_0_1402,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_2,e_5,e_1)
| product(e_1,e_2,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1207,c_0_878]),c_0_1208]),
[final] ).
cnf(c_0_1403,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_4,e_2,e_1)
| product(e_1,e_2,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1209,c_0_878]),c_0_1210]),
[final] ).
cnf(c_0_1404,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_2,e_3,e_4)
| product(e_1,e_2,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1211,c_0_878]),c_0_1100]),
[final] ).
cnf(c_0_1405,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_4,e_5,e_3)
| product(e_1,e_2,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1212,c_0_878]),c_0_1127]),
[final] ).
cnf(c_0_1406,negated_conjecture,
( product(e_4,e_5,e_3)
| product(e_2,e_3,e_1)
| product(e_1,e_2,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1213,c_0_878]),c_0_1214]),
[final] ).
cnf(c_0_1407,negated_conjecture,
( product(e_4,e_5,e_3)
| product(e_3,e_5,e_2)
| product(e_1,e_2,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1215,c_0_878]),c_0_1216]),
[final] ).
cnf(c_0_1408,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_3,e_5,e_4)
| product(e_1,e_2,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1217,c_0_878]),c_0_1218]),
[final] ).
cnf(c_0_1409,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_5,e_2,e_3)
| product(e_1,e_2,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1219,c_0_878]),c_0_1036]),
[final] ).
cnf(c_0_1410,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_3,e_1,e_4)
| product(e_1,e_2,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1220,c_0_878]),c_0_1099]),
[final] ).
cnf(c_0_1411,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_3,e_1,e_4)
| product(e_1,e_2,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1221,c_0_878]),c_0_1222]),
[final] ).
cnf(c_0_1412,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_1,e_4)
| product(e_1,e_2,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1223,c_0_878]),c_0_1224]),
[final] ).
cnf(c_0_1413,negated_conjecture,
( product(e_5,e_3,e_1)
| product(e_5,e_3,e_2)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_867,c_0_1225]),
[final] ).
cnf(c_0_1414,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_1,e_3,e_5) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1226,c_0_737]),c_0_1227]),c_0_879]),
[final] ).
cnf(c_0_1415,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_1,e_3,e_5) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1228,c_0_737]),c_0_1229]),c_0_879]),
[final] ).
cnf(c_0_1416,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_1,e_3,e_5) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1230,c_0_737]),c_0_1231]),c_0_879]),
[final] ).
cnf(c_0_1417,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_1,e_3,e_5) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1232,c_0_737]),c_0_1233]),c_0_879]),
[final] ).
cnf(c_0_1418,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_1,e_3,e_5) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1234,c_0_737]),c_0_1235]),c_0_879]),
[final] ).
cnf(c_0_1419,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_1,e_3,e_5) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1236,c_0_737]),c_0_1237]),c_0_879]),
[final] ).
cnf(c_0_1420,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_795,c_0_1080]),
[final] ).
cnf(c_0_1421,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1238,c_0_1080]),
[final] ).
cnf(c_0_1422,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1003,c_0_1080]),
[final] ).
cnf(c_0_1423,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_979,c_0_1080]),
[final] ).
cnf(c_0_1424,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_980,c_0_1080]),
[final] ).
cnf(c_0_1425,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_5,e_2,e_3)
| product(e_4,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1239,c_0_1081]),
[final] ).
cnf(c_0_1426,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_5,e_2,e_3)
| product(e_4,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_795,c_0_1081]),
[final] ).
cnf(c_0_1427,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_5,e_2,e_3)
| product(e_4,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1238,c_0_1081]),
[final] ).
cnf(c_0_1428,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_5,e_2,e_3)
| product(e_4,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1003,c_0_1081]),
[final] ).
cnf(c_0_1429,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_5,e_2,e_3)
| product(e_4,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_979,c_0_1081]),
[final] ).
cnf(c_0_1430,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_5,e_2,e_3)
| product(e_4,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_980,c_0_1081]),
[final] ).
cnf(c_0_1431,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_2,e_5,e_1)
| product(e_4,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1239,c_0_1082]),
[final] ).
cnf(c_0_1432,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_2,e_5,e_1)
| product(e_4,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_795,c_0_1082]),
[final] ).
cnf(c_0_1433,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_4,e_2,e_1)
| product(e_4,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1239,c_0_1085]),
[final] ).
cnf(c_0_1434,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_2,e_1)
| product(e_4,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_795,c_0_1085]),
[final] ).
cnf(c_0_1435,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_4,e_2,e_1)
| product(e_4,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1238,c_0_1085]),
[final] ).
cnf(c_0_1436,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_4,e_2,e_1)
| product(e_4,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1003,c_0_1085]),
[final] ).
cnf(c_0_1437,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_4,e_2,e_1)
| product(e_4,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_979,c_0_1085]),
[final] ).
cnf(c_0_1438,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_980,c_0_1085]),
[final] ).
cnf(c_0_1439,negated_conjecture,
( ~ product(e_1,e_4,e_2)
| product(e_3,e_4,e_5)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_250,c_0_1240]),
[final] ).
cnf(c_0_1440,negated_conjecture,
( ~ product(e_1,e_4,e_2)
| product(e_3,e_1,e_4)
| product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_250,c_0_1241]),
[final] ).
cnf(c_0_1441,negated_conjecture,
( ~ product(e_3,e_5,X1)
| ~ product(e_3,e_1,e_4)
| product(X1,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_134,c_0_1242]),
[final] ).
cnf(c_0_1442,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_3,e_1,e_4)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1020,c_0_1094]),
[final] ).
cnf(c_0_1443,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_3,e_1,e_4)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_919,c_0_1094]),
[final] ).
cnf(c_0_1444,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1020,c_0_865]),
[final] ).
cnf(c_0_1445,negated_conjecture,
( ~ product(e_1,e_5,X1)
| product(X1,e_2,e_5)
| product(e_2,e_5,e_1)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1243,c_0_1244]),
[final] ).
cnf(c_0_1446,negated_conjecture,
( ~ product(e_1,e_5,X1)
| product(X1,e_2,e_5)
| product(e_2,e_3,e_4)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1243,c_0_908]),
[final] ).
cnf(c_0_1447,negated_conjecture,
( product(e_5,e_3,e_2)
| product(e_4,e_5,e_3)
| product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_1245,c_0_338]),
[final] ).
cnf(c_0_1448,negated_conjecture,
( ~ product(e_4,e_1,X1)
| ~ product(e_5,e_3,e_4)
| product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_735,c_0_861]),
[final] ).
cnf(c_0_1449,negated_conjecture,
( ~ product(e_4,e_5,X1)
| ~ product(e_5,e_3,e_4)
| product(X1,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_134,c_0_861]),
[final] ).
cnf(c_0_1450,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_1,e_3,e_5) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1246,c_0_737]),c_0_1247]),c_0_879]),
[final] ).
cnf(c_0_1451,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_3,e_1,e_4)
| product(e_1,e_2,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1248,c_0_878]),c_0_1015]),
[final] ).
cnf(c_0_1452,negated_conjecture,
( ~ product(e_1,e_5,X1)
| product(X1,e_2,e_5)
| product(e_2,e_3,e_4)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_134,c_0_1249]),
[final] ).
cnf(c_0_1453,negated_conjecture,
( ~ product(e_1,e_5,X1)
| product(X1,e_2,e_5)
| product(e_2,e_4,e_1)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_1250]),
[final] ).
cnf(c_0_1454,negated_conjecture,
( ~ product(e_1,e_5,X1)
| product(X1,e_2,e_5)
| product(e_2,e_3,e_4)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_1251]),
[final] ).
cnf(c_0_1455,negated_conjecture,
( ~ product(e_1,e_5,X1)
| product(X1,e_2,e_5)
| product(e_3,e_2,e_4)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_1252]),
[final] ).
cnf(c_0_1456,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_3,e_5,e_4)
| product(e_5,e_1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_1253]),c_0_252])]),
[final] ).
cnf(c_0_1457,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_3,e_5,e_4)
| product(e_5,e_1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_1254]),c_0_252])]),
[final] ).
cnf(c_0_1458,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_3,e_5,e_4)
| product(e_5,e_1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_1255]),c_0_252])]),
[final] ).
cnf(c_0_1459,negated_conjecture,
( ~ product(e_5,e_4,X1)
| ~ product(e_3,e_1,e_4)
| product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_134,c_0_842]),
[final] ).
cnf(c_0_1460,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_3,e_1,e_4)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_754,c_0_1094]),
[final] ).
cnf(c_0_1461,plain,
( product(e_4,e_5,e_3)
| product(e_4,e_5,e_2)
| product(e_4,e_5,e_1) ),
inference(sr,[status(thm)],[c_0_344,c_0_905]),
[final] ).
cnf(c_0_1462,negated_conjecture,
( ~ product(e_4,e_1,X1)
| ~ product(e_4,e_2,e_1)
| product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_1256,c_0_1132]),
[final] ).
cnf(c_0_1463,negated_conjecture,
( ~ product(e_5,e_1,X1)
| ~ product(e_4,e_2,e_1)
| product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_1257,c_0_1132]),
[final] ).
cnf(c_0_1464,negated_conjecture,
( ~ product(e_5,e_4,X1)
| ~ product(e_4,e_2,e_1)
| product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_134,c_0_1132]),
[final] ).
cnf(c_0_1465,negated_conjecture,
( ~ product(e_5,e_4,X1)
| ~ product(e_2,e_3,e_1)
| product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_134,c_0_974]),
[final] ).
cnf(c_0_1466,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_3,e_5,e_4)
| product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_748,c_0_1019]),
[final] ).
cnf(c_0_1467,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_3,e_5,e_4)
| product(e_4,e_5,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1258,c_0_724]),c_0_222]),
[final] ).
cnf(c_0_1468,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_3,e_5,e_4)
| product(e_4,e_5,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1259,c_0_724]),c_0_222]),
[final] ).
cnf(c_0_1469,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_3,e_5,e_4)
| product(e_4,e_5,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1260,c_0_724]),c_0_222]),
[final] ).
cnf(c_0_1470,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_3,e_5,e_4)
| product(e_4,e_5,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1261,c_0_1262]),c_0_222]),
[final] ).
cnf(c_0_1471,negated_conjecture,
( ~ product(e_3,e_5,X1)
| ~ product(e_4,e_2,e_1)
| product(X1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_1263,c_0_981]),
[final] ).
cnf(c_0_1472,negated_conjecture,
( ~ product(e_4,e_5,X1)
| ~ product(e_4,e_2,e_1)
| product(X1,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_1264,c_0_981]),
[final] ).
cnf(c_0_1473,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_3,e_1,e_4)
| product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_876,c_0_755]),
[final] ).
cnf(c_0_1474,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_3,e_1,e_4)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_876,c_0_1094]),
[final] ).
cnf(c_0_1475,negated_conjecture,
( ~ product(e_3,e_2,e_5)
| product(e_4,e_5,e_1)
| product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_1265,c_0_405]),
[final] ).
cnf(c_0_1476,negated_conjecture,
( ~ product(e_3,e_2,e_5)
| product(e_4,e_5,e_1)
| product(e_5,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_1266,c_0_405]),
[final] ).
cnf(c_0_1477,negated_conjecture,
( ~ product(e_3,e_2,e_5)
| product(e_4,e_5,e_1)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1267,c_0_405]),
[final] ).
cnf(c_0_1478,negated_conjecture,
( ~ product(e_3,e_2,e_5)
| product(e_4,e_5,e_1)
| product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_1268,c_0_405]),
[final] ).
cnf(c_0_1479,negated_conjecture,
( ~ product(e_1,e_3,e_4)
| product(e_4,e_3,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_1227]),c_0_99]),
[final] ).
cnf(c_0_1480,negated_conjecture,
( ~ product(e_1,e_3,e_4)
| product(e_4,e_5,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_1247]),c_0_99]),
[final] ).
cnf(c_0_1481,negated_conjecture,
( ~ product(e_5,e_3,X1)
| product(X1,e_2,e_3)
| product(e_3,e_4,e_5)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_1058]),
[final] ).
cnf(c_0_1482,negated_conjecture,
( ~ product(e_5,e_3,X1)
| product(X1,e_2,e_3)
| product(e_3,e_2,e_4)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_759]),
[final] ).
cnf(c_0_1483,negated_conjecture,
( ~ product(e_3,e_2,e_5)
| product(e_4,e_5,e_1)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1011,c_0_393]),
[final] ).
cnf(c_0_1484,plain,
( ~ product(e_1,e_2,e_5)
| ~ product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_99,c_0_1202]),
[final] ).
cnf(c_0_1485,negated_conjecture,
( ~ product(e_3,e_1,e_2)
| product(e_5,e_3,e_2)
| product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_1269,c_0_946]),
[final] ).
cnf(c_0_1486,negated_conjecture,
( ~ product(e_3,e_5,e_2)
| product(e_5,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_969,c_0_1270]),c_0_1271]),
[final] ).
cnf(c_0_1487,negated_conjecture,
( ~ product(e_2,e_3,e_1)
| product(e_5,e_1,e_2) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_573,c_0_1272]),c_0_575]),c_0_809]),
[final] ).
cnf(c_0_1488,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_5,e_4,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1273,c_0_393]),c_0_490]),
[final] ).
cnf(c_0_1489,negated_conjecture,
( ~ product(e_4,e_5,X1)
| ~ product(e_4,e_5,e_3)
| product(X1,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_134,c_0_586]),
[final] ).
cnf(c_0_1490,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_5)
| product(e_4,e_5,e_3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_250,c_0_1274]),c_0_58])]),
[final] ).
cnf(c_0_1491,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_3,e_5,e_2)
| product(e_4,e_5,e_3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_250,c_0_1275]),c_0_58])]),
[final] ).
cnf(c_0_1492,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_2,e_3,e_1)
| product(e_4,e_5,e_3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_250,c_0_1276]),c_0_58])]),
[final] ).
cnf(c_0_1493,negated_conjecture,
( ~ product(e_3,e_2,e_4)
| product(e_1,e_4,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_439,c_0_613]),c_0_1277]),
[final] ).
cnf(c_0_1494,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_3,e_2,e_4)
| product(e_4,e_5,e_3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_250,c_0_1278]),c_0_58])]),
[final] ).
cnf(c_0_1495,negated_conjecture,
( ~ product(e_3,e_2,e_5)
| product(e_3,e_1,e_4)
| product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_1279,c_0_405]),
[final] ).
cnf(c_0_1496,negated_conjecture,
( product(e_5,e_3,e_1)
| product(e_3,e_1,e_4)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_867,c_0_1280]),
[final] ).
cnf(c_0_1497,negated_conjecture,
( product(e_5,e_3,e_1)
| product(e_3,e_1,e_4)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_867,c_0_1281]),
[final] ).
cnf(c_0_1498,negated_conjecture,
( product(e_5,e_3,e_1)
| product(e_3,e_1,e_4)
| product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_867,c_0_1282]),
[final] ).
cnf(c_0_1499,negated_conjecture,
( product(e_5,e_3,e_1)
| product(e_3,e_1,e_4)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_867,c_0_1283]),
[final] ).
cnf(c_0_1500,negated_conjecture,
( ~ product(e_3,e_2,e_5)
| product(e_4,e_5,e_3)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_1284,c_0_405]),
[final] ).
cnf(c_0_1501,negated_conjecture,
( ~ product(e_3,e_2,e_5)
| product(e_4,e_5,e_3)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_1285,c_0_405]),
[final] ).
cnf(c_0_1502,negated_conjecture,
( ~ product(e_3,e_5,e_2)
| product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_1122,c_0_376]),
[final] ).
cnf(c_0_1503,negated_conjecture,
( ~ product(e_3,e_1,e_4)
| product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_924,c_0_376]),
[final] ).
cnf(c_0_1504,negated_conjecture,
( ~ product(e_2,e_5,e_1)
| product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_1286,c_0_976]),
[final] ).
cnf(c_0_1505,negated_conjecture,
( ~ product(e_5,e_2,e_1)
| product(e_3,e_4,e_5)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_232,c_0_1287]),
[final] ).
cnf(c_0_1506,negated_conjecture,
( ~ product(e_5,e_2,e_1)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_232,c_0_886]),
[final] ).
cnf(c_0_1507,negated_conjecture,
( ~ product(e_2,e_3,e_4)
| product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_1288,c_0_976]),
[final] ).
cnf(c_0_1508,negated_conjecture,
( ~ product(e_4,e_2,e_1)
| product(e_5,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_867,c_0_1289]),
[final] ).
cnf(c_0_1509,negated_conjecture,
( ~ product(e_3,e_2,e_5)
| product(e_4,e_5,e_1)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_748,c_0_393]),
[final] ).
cnf(c_0_1510,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_2,e_3,e_5)
| product(e_4,e_5,e_3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_250,c_0_1290]),c_0_58])]),
[final] ).
cnf(c_0_1511,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_3,e_2,e_4)
| product(e_4,e_5,e_3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_250,c_0_1291]),c_0_58])]),
[final] ).
cnf(c_0_1512,negated_conjecture,
( ~ product(e_3,e_2,e_5)
| product(e_3,e_1,e_4)
| product(e_5,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_1292,c_0_405]),
[final] ).
cnf(c_0_1513,negated_conjecture,
( ~ product(e_5,e_4,e_3)
| product(e_2,e_3,e_5)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_849,c_0_570]),
[final] ).
cnf(c_0_1514,plain,
( ~ product(e_5,e_4,e_2)
| product(e_5,e_2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_1293]),c_0_205]),
[final] ).
cnf(c_0_1515,negated_conjecture,
( ~ product(e_3,e_2,e_5)
| product(e_4,e_2,e_1)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_1294,c_0_405]),
[final] ).
cnf(c_0_1516,negated_conjecture,
( ~ product(e_3,e_2,e_5)
| product(e_2,e_5,e_1)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_1295,c_0_405]),
[final] ).
cnf(c_0_1517,negated_conjecture,
( ~ product(e_3,e_2,e_5)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_1296,c_0_405]),
[final] ).
cnf(c_0_1518,negated_conjecture,
( product(e_5,e_3,e_1)
| product(e_3,e_1,e_4)
| product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_867,c_0_1297]),
[final] ).
cnf(c_0_1519,negated_conjecture,
( ~ product(e_3,e_5,e_1)
| product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_1136,c_0_1019]),
[final] ).
cnf(c_0_1520,negated_conjecture,
( ~ product(e_2,e_5,X1)
| ~ product(e_4,e_5,e_2)
| product(X1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_134,c_0_822]),
[final] ).
cnf(c_0_1521,negated_conjecture,
( ~ product(e_3,e_5,e_1)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_1298,c_0_701]),
[final] ).
cnf(c_0_1522,negated_conjecture,
( ~ product(e_3,e_5,e_1)
| ~ product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_219,c_0_1299]),
[final] ).
cnf(c_0_1523,negated_conjecture,
( ~ product(e_3,e_5,e_1)
| product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_1136,c_0_514]),
[final] ).
cnf(c_0_1524,negated_conjecture,
( ~ product(e_5,e_2,e_3)
| ~ product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_205,c_0_638]),
[final] ).
cnf(c_0_1525,negated_conjecture,
( ~ product(e_4,e_2,e_1)
| ~ product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_656,c_0_981]),
[final] ).
cnf(c_0_1526,negated_conjecture,
( ~ product(e_4,e_5,X1)
| product(X1,e_2,e_5)
| product(e_5,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_790]),
[final] ).
cnf(c_0_1527,negated_conjecture,
( ~ product(e_1,e_3,e_4)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_138,c_0_505]),
[final] ).
cnf(c_0_1528,negated_conjecture,
( product(e_1,e_3,e_5)
| product(e_3,e_1,e_2) ),
inference(sr,[status(thm)],[c_0_1045,c_0_643]),
[final] ).
cnf(c_0_1529,negated_conjecture,
( product(e_5,e_4,e_3)
| product(e_3,e_1,e_2) ),
inference(sr,[status(thm)],[c_0_238,c_0_643]),
[final] ).
cnf(c_0_1530,negated_conjecture,
( ~ product(e_3,e_1,e_2)
| product(e_5,e_3,e_1)
| product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_83,c_0_1300]),
[final] ).
cnf(c_0_1531,negated_conjecture,
( ~ product(e_3,e_1,e_2)
| product(e_5,e_3,e_1)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_83,c_0_1301]),
[final] ).
cnf(c_0_1532,negated_conjecture,
( ~ product(e_3,e_1,e_2)
| product(e_5,e_3,e_2)
| product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_83,c_0_1302]),
[final] ).
cnf(c_0_1533,plain,
( ~ product(e_3,e_1,e_2)
| product(e_5,e_3,e_2)
| product(e_5,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_83,c_0_1293]),
[final] ).
cnf(c_0_1534,negated_conjecture,
( ~ product(e_3,e_1,e_2)
| product(e_5,e_4,e_2)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_83,c_0_1303]),
[final] ).
cnf(c_0_1535,negated_conjecture,
( ~ product(e_2,e_3,e_1)
| ~ product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_290,c_0_884]),
[final] ).
cnf(c_0_1537,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_3,e_5,e_2)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_733,c_0_533]),
[final] ).
cnf(c_0_1538,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_3,e_1,e_4)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_876,c_0_678]),
[final] ).
cnf(c_0_1539,negated_conjecture,
( product(e_5,e_3,e_1)
| product(e_3,e_5,e_2)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_867,c_0_1305]),
[final] ).
cnf(c_0_1540,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_4,e_2,e_1)
| product(e_1,e_2,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1306,c_0_878]),c_0_1307]),
[final] ).
cnf(c_0_1541,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_4,e_2,e_1)
| product(e_1,e_2,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1308,c_0_878]),c_0_770]),
[final] ).
cnf(c_0_1542,negated_conjecture,
( product(e_5,e_3,e_1)
| product(e_2,e_3,e_1)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_867,c_0_932]),
[final] ).
cnf(c_0_1543,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_5,e_2,e_3)
| product(e_1,e_2,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1309,c_0_878]),c_0_912]),
[final] ).
cnf(c_0_1544,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_5,e_2,e_3)
| product(e_1,e_2,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1310,c_0_878]),c_0_1013]),
[final] ).
cnf(c_0_1545,negated_conjecture,
( ~ product(e_3,e_2,e_5)
| product(e_3,e_5,e_4)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_1311,c_0_405]),
[final] ).
cnf(c_0_1546,negated_conjecture,
( ~ product(e_2,e_3,e_1)
| product(e_3,e_5,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_733,c_0_447]),c_0_219]),
[final] ).
cnf(c_0_1547,negated_conjecture,
( ~ product(e_1,e_4,e_2)
| product(e_3,e_5,e_2)
| product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_250,c_0_1312]),
[final] ).
cnf(c_0_1548,negated_conjecture,
( ~ product(e_1,e_5,X1)
| product(X1,e_4,e_5)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_134,c_0_1148]),
[final] ).
cnf(c_0_1549,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_2,e_3,e_4)
| product(e_1,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_1313,c_0_1179]),
[final] ).
cnf(c_0_1550,negated_conjecture,
( ~ product(e_1,e_5,X1)
| product(X1,e_2,e_5)
| product(e_2,e_5,e_1)
| product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_134,c_0_1314]),
[final] ).
cnf(c_0_1551,negated_conjecture,
( ~ product(e_1,e_5,X1)
| product(X1,e_2,e_5)
| product(e_2,e_3,e_4)
| product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_134,c_0_1315]),
[final] ).
cnf(c_0_1552,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_3,e_5,e_4)
| product(e_1,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_1316,c_0_521]),
[final] ).
cnf(c_0_1553,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_3,e_5,e_4)
| product(e_1,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_1317,c_0_896]),
[final] ).
cnf(c_0_1554,negated_conjecture,
( ~ product(e_1,e_5,X1)
| product(X1,e_2,e_5)
| product(e_5,e_3,e_2)
| product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_1302]),
[final] ).
cnf(c_0_1555,negated_conjecture,
( ~ product(e_1,e_5,X1)
| product(X1,e_2,e_5)
| product(e_4,e_3,e_1)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_1318]),
[final] ).
cnf(c_0_1556,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_5,e_3,e_2)
| product(e_5,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1198,c_0_1293]),c_0_1200]),
[final] ).
cnf(c_0_1557,negated_conjecture,
( ~ product(e_1,e_5,X1)
| product(X1,e_2,e_5)
| product(e_5,e_3,e_2)
| product(e_5,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_134,c_0_1293]),
[final] ).
cnf(c_0_1558,negated_conjecture,
( ~ product(e_1,e_5,X1)
| product(X1,e_2,e_5)
| product(e_5,e_3,e_1)
| product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_1300]),
[final] ).
cnf(c_0_1559,negated_conjecture,
( ~ product(e_1,e_5,X1)
| product(X1,e_2,e_5)
| product(e_5,e_3,e_1)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_134,c_0_1301]),
[final] ).
cnf(c_0_1560,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_2,e_3,e_5)
| product(e_5,e_1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_1319]),c_0_252])]),
[final] ).
cnf(c_0_1561,negated_conjecture,
( ~ product(e_1,e_5,X1)
| product(X1,e_2,e_5)
| product(e_2,e_3,e_5)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_1320]),
[final] ).
cnf(c_0_1562,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_3,e_2,e_4)
| product(e_5,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_1321,c_0_624]),
[final] ).
cnf(c_0_1563,negated_conjecture,
( ~ product(e_5,e_4,e_3)
| product(e_3,e_2,e_4)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_57,c_0_1156]),
[final] ).
cnf(c_0_1564,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_2,e_3,e_5)
| product(e_1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_1322,c_0_854]),
[final] ).
cnf(c_0_1565,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_2,e_4,e_1)
| product(e_5,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_1323,c_0_624]),
[final] ).
cnf(c_0_1566,negated_conjecture,
( ~ product(e_5,e_4,e_3)
| product(e_2,e_4,e_1)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_57,c_0_1158]),
[final] ).
cnf(c_0_1567,negated_conjecture,
( ~ product(e_1,e_5,X1)
| product(X1,e_2,e_5)
| product(e_3,e_4,e_5)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_1324]),
[final] ).
cnf(c_0_1568,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_3,e_5,e_2)
| product(e_1,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_1325,c_0_1326]),
[final] ).
cnf(c_0_1569,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_2,e_3,e_1)
| product(e_1,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_1327,c_0_1328]),
[final] ).
cnf(c_0_1570,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_2,e_3,e_1)
| product(e_1,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_1329,c_0_1330]),
[final] ).
cnf(c_0_1571,negated_conjecture,
( product(e_5,e_1,e_2)
| product(e_5,e_3,e_2)
| product(e_3,e_5,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_573,c_0_641]),c_0_575]),
[final] ).
cnf(c_0_1572,negated_conjecture,
( ~ product(e_1,e_5,X1)
| product(X1,e_2,e_5)
| product(e_3,e_4,e_5)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_134,c_0_1331]),
[final] ).
cnf(c_0_1574,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_5,e_2,e_3)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_1239,c_0_672]),
[final] ).
cnf(c_0_1575,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_3,e_4,e_5)
| product(e_4,e_5,e_3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_250,c_0_1333]),c_0_58])]),
[final] ).
cnf(c_0_1576,negated_conjecture,
( ~ product(e_1,e_5,X1)
| product(X1,e_2,e_5)
| product(e_5,e_4,e_2)
| product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_1062]),
[final] ).
cnf(c_0_1577,negated_conjecture,
( ~ product(e_1,e_5,X1)
| product(X1,e_2,e_5)
| product(e_5,e_4,e_2)
| product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_134,c_0_581]),
[final] ).
cnf(c_0_1578,negated_conjecture,
( product(e_5,e_3,e_2)
| product(e_2,e_3,e_1)
| product(e_5,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_1334,c_0_574]),
[final] ).
cnf(c_0_1579,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_2,e_3,e_1)
| product(e_5,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_1335,c_0_579]),
[final] ).
cnf(c_0_1580,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_1,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_1336,c_0_654]),
[final] ).
cnf(c_0_1581,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_3,e_4,e_5)
| product(e_1,e_4,e_3) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1337,c_0_1338]),c_0_858]),c_0_706]),c_0_441]),
[final] ).
cnf(c_0_1582,negated_conjecture,
( ~ product(e_4,e_5,X1)
| ~ product(e_2,e_5,e_1)
| product(X1,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_134,c_0_1339]),
[final] ).
cnf(c_0_1583,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_783,c_0_533]),
[final] ).
cnf(c_0_1584,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_2,e_3,e_1)
| product(e_5,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_1340,c_0_800]),
[final] ).
cnf(c_0_1585,negated_conjecture,
( ~ product(e_1,e_5,X1)
| product(X1,e_2,e_5)
| product(e_5,e_4,e_2)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_134,c_0_1303]),
[final] ).
cnf(c_0_1586,negated_conjecture,
( ~ product(e_5,e_4,X1)
| ~ product(e_4,e_3,e_1)
| product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_134,c_0_1079]),
[final] ).
cnf(c_0_1587,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_3,e_5,e_2)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_795,c_0_956]),
[final] ).
cnf(c_0_1588,negated_conjecture,
( ~ product(e_1,e_5,X1)
| product(X1,e_2,e_5)
| product(e_2,e_3,e_4)
| product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_771]),
[final] ).
cnf(c_0_1589,negated_conjecture,
( ~ product(e_1,e_4,e_2)
| product(e_2,e_3,e_1)
| product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_250,c_0_1341]),
[final] ).
cnf(c_0_1590,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_3,e_5,e_4)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_1342,c_0_488]),
[final] ).
cnf(c_0_1591,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_5)
| product(e_1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_1343,c_0_1107]),
[final] ).
cnf(c_0_1592,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_3,e_2,e_4)
| product(e_1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_768,c_0_933]),
[final] ).
cnf(c_0_1593,negated_conjecture,
( product(e_5,e_1,e_2)
| product(e_3,e_4,e_5)
| product(e_3,e_5,e_4) ),
inference(sr,[status(thm)],[c_0_275,c_0_547]),
[final] ).
cnf(c_0_1594,negated_conjecture,
( ~ product(e_3,e_5,X1)
| ~ product(e_2,e_5,e_1)
| product(X1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_134,c_0_789]),
[final] ).
cnf(c_0_1595,negated_conjecture,
( ~ product(e_5,e_4,e_3)
| product(e_2,e_4,e_1)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_57,c_0_848]),
[final] ).
cnf(c_0_1596,negated_conjecture,
( ~ product(e_5,e_4,X1)
| ~ product(e_3,e_2,e_4)
| product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_134,c_0_991]),
[final] ).
cnf(c_0_1597,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_4,e_5,e_2)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_642,c_0_715]),
[final] ).
cnf(c_0_1598,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_3,e_4,e_5)
| product(e_1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_1344,c_0_947]),
[final] ).
cnf(c_0_1599,plain,
( product(e_3,e_5,e_4)
| product(e_3,e_5,e_2)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_936,c_0_727]),
[final] ).
cnf(c_0_1600,negated_conjecture,
( ~ product(e_4,e_1,X1)
| ~ product(e_3,e_5,e_2)
| product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_927]),
[final] ).
cnf(c_0_1601,negated_conjecture,
( ~ product(e_4,e_1,X1)
| ~ product(e_3,e_2,e_4)
| product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_1180,c_0_991]),
[final] ).
cnf(c_0_1602,negated_conjecture,
( ~ product(e_5,e_1,X1)
| ~ product(e_2,e_5,e_1)
| product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_734]),
[final] ).
cnf(c_0_1603,negated_conjecture,
( product(e_5,e_3,e_1)
| product(e_3,e_5,e_2)
| product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_867,c_0_1345]),
[final] ).
cnf(c_0_1604,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_5,e_3,e_4)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_622,c_0_463]),
[final] ).
cnf(c_0_1605,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_3,e_5,e_2)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1346,c_0_314]),
[final] ).
cnf(c_0_1606,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_5,e_2,e_3)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_548,c_0_801]),
[final] ).
cnf(c_0_1607,negated_conjecture,
( ~ product(e_3,e_1,X1)
| ~ product(e_3,e_2,e_4)
| product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_788]),
[final] ).
cnf(c_0_1608,negated_conjecture,
( product(e_5,e_3,e_1)
| product(e_3,e_5,e_2)
| product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_867,c_0_1347]),
[final] ).
cnf(c_0_1609,negated_conjecture,
( product(e_5,e_3,e_1)
| product(e_2,e_3,e_1)
| product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_867,c_0_1348]),
[final] ).
cnf(c_0_1610,negated_conjecture,
( product(e_5,e_3,e_1)
| product(e_2,e_3,e_1)
| product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_867,c_0_1108]),
[final] ).
cnf(c_0_1611,negated_conjecture,
( ~ product(e_3,e_5,e_2)
| product(e_5,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_973,c_0_790]),
[final] ).
cnf(c_0_1612,negated_conjecture,
( ~ product(e_5,e_4,e_3)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_1026,c_0_570]),
[final] ).
cnf(c_0_1613,negated_conjecture,
( ~ product(e_5,e_4,e_3)
| product(e_2,e_3,e_5)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_815,c_0_570]),
[final] ).
cnf(c_0_1614,negated_conjecture,
( product(e_4,e_2,e_3)
| product(e_5,e_4,e_2) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1349,c_0_579]),c_0_1350]),c_0_584]),
[final] ).
cnf(c_0_1615,negated_conjecture,
( ~ product(e_5,e_2,e_3)
| ~ product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_973,c_0_638]),
[final] ).
cnf(c_0_1618,negated_conjecture,
( ~ product(e_4,e_1,X1)
| ~ product(e_4,e_3,e_1)
| product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_1180,c_0_1079]),
[final] ).
cnf(c_0_1619,negated_conjecture,
( ~ product(e_2,e_3,e_4)
| product(e_5,e_4,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1354,c_0_800]),c_0_1355]),
[final] ).
cnf(c_0_1620,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_5,e_1,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1356,c_0_526]),c_0_556]),
[final] ).
cnf(c_0_1621,negated_conjecture,
( ~ product(e_2,e_4,e_1)
| product(e_4,e_3,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1342,c_0_1357]),c_0_1358]),
[final] ).
cnf(c_0_1622,negated_conjecture,
( ~ product(e_2,e_3,e_5)
| product(e_4,e_3,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_897,c_0_567]),c_0_1359]),
[final] ).
cnf(c_0_1623,negated_conjecture,
( ~ product(e_3,e_2,e_5)
| product(e_2,e_3,e_4)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_1360,c_0_1361]),
[final] ).
cnf(c_0_1624,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_4,e_3,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1198,c_0_780]),c_0_1362]),
[final] ).
cnf(c_0_1625,negated_conjecture,
( ~ product(e_4,e_3,e_1)
| ~ product(e_5,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_429,c_0_1363]),
[final] ).
cnf(c_0_1627,negated_conjecture,
( ~ product(e_4,e_3,e_1)
| product(e_3,e_2,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1364,c_0_1079]),c_0_121]),
[final] ).
cnf(c_0_1628,negated_conjecture,
( product(e_4,e_3,e_2)
| product(e_5,e_2,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1365,c_0_473]),c_0_401]),
[final] ).
cnf(c_0_1629,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_243,c_0_1366]),
[final] ).
cnf(c_0_1630,negated_conjecture,
( ~ product(e_2,e_3,e_5)
| ~ product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_118,c_0_567]),
[final] ).
cnf(c_0_1631,negated_conjecture,
( product(e_5,e_3,e_1)
| product(e_4,e_2,e_3) ),
inference(sr,[status(thm)],[c_0_1367,c_0_547]),
[final] ).
cnf(c_0_1634,negated_conjecture,
( ~ product(e_1,e_5,X1)
| ~ product(e_2,e_3,e_4)
| product(X1,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_134,c_0_462]),
[final] ).
cnf(c_0_1635,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_4,e_5,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1369,c_0_715]),c_0_1370]),
[final] ).
cnf(c_0_1636,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_5,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_1371,c_0_1372]),
[final] ).
cnf(c_0_1637,negated_conjecture,
( ~ product(e_2,e_5,X1)
| ~ product(e_3,e_2,e_4)
| product(X1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_134,c_0_613]),
[final] ).
cnf(c_0_1638,negated_conjecture,
( ~ product(e_3,e_2,e_5)
| product(e_3,e_5,e_4)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_936,c_0_1361]),
[final] ).
cnf(c_0_1639,negated_conjecture,
( ~ product(e_2,e_3,e_5)
| product(e_4,e_5,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1373,c_0_715]),c_0_280]),
[final] ).
cnf(c_0_1640,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_3,e_4,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_439,c_0_1374]),c_0_1175]),
[final] ).
cnf(c_0_1641,negated_conjecture,
( ~ product(e_2,e_5,e_1)
| ~ product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_110,c_0_734]),
[final] ).
cnf(c_0_1642,negated_conjecture,
( ~ product(e_2,e_3,e_4)
| ~ product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_110,c_0_612]),
[final] ).
cnf(c_0_1643,negated_conjecture,
( ~ product(e_1,e_2,e_4)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_232,c_0_741]),
[final] ).
cnf(c_0_1644,negated_conjecture,
( ~ product(e_3,e_2,e_5)
| product(e_3,e_5,e_2)
| product(e_5,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_639,c_0_393]),
[final] ).
cnf(c_0_1645,negated_conjecture,
( ~ product(e_3,e_2,e_5)
| product(e_2,e_5,e_1)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_733,c_0_393]),
[final] ).
cnf(c_0_1646,negated_conjecture,
( ~ product(e_2,e_4,e_5)
| ~ product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_138,c_0_421]),
[final] ).
cnf(c_0_1647,negated_conjecture,
( ~ product(e_3,e_2,e_4)
| ~ product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_118,c_0_550]),
[final] ).
cnf(c_0_1648,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_5,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_1375,c_0_1376]),
[final] ).
cnf(c_0_1649,negated_conjecture,
( ~ product(e_2,e_1,X1)
| ~ product(e_5,e_3,e_4)
| product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_1377]),
[final] ).
cnf(c_0_1650,negated_conjecture,
( ~ product(e_3,e_2,e_5)
| product(e_4,e_2,e_1)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_1346,c_0_405]),
[final] ).
cnf(c_0_1651,negated_conjecture,
( ~ product(e_2,e_5,e_1)
| product(e_5,e_2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1378,c_0_693]),c_0_219]),
[final] ).
cnf(c_0_1652,negated_conjecture,
( ~ product(e_2,e_3,e_1)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_1379,c_0_634]),
[final] ).
cnf(c_0_1653,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_4,e_3,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_1380]),c_0_58])]),
[final] ).
cnf(c_0_1654,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_1,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_1381,c_0_993]),
[final] ).
cnf(c_0_1655,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_5,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_1382,c_0_317]),
[final] ).
cnf(c_0_1656,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_1,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_1383,c_0_1351]),
[final] ).
cnf(c_0_1657,plain,
( product(e_5,e_4,e_3)
| product(e_2,e_4,e_5) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_1384,c_0_1065]),c_0_1385]),
[final] ).
cnf(c_0_1658,negated_conjecture,
( ~ product(e_2,e_3,e_4)
| product(e_5,e_2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_539]),c_0_210]),
[final] ).
cnf(c_0_1659,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_607,c_0_532]),
[final] ).
cnf(c_0_1660,negated_conjecture,
( product(e_4,e_3,e_2)
| product(e_1,e_2,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_260,c_0_704]),c_0_551]),
[final] ).
cnf(c_0_1661,negated_conjecture,
( ~ product(e_3,e_2,e_5)
| product(e_2,e_3,e_1)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_511,c_0_405]),
[final] ).
cnf(c_0_1662,negated_conjecture,
( ~ product(e_3,e_2,e_5)
| product(e_4,e_2,e_1)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_400,c_0_405]),
[final] ).
cnf(c_0_1663,negated_conjecture,
( ~ product(e_4,e_3,X1)
| ~ product(e_3,e_2,e_5)
| product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_134,c_0_1361]),
[final] ).
cnf(c_0_1664,plain,
( ~ product(e_1,e_2,e_5)
| ~ product(e_5,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_57,c_0_1202]),
[final] ).
cnf(c_0_1665,negated_conjecture,
( ~ product(e_2,e_4,X1)
| ~ product(e_3,e_2,e_4)
| product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_134,c_0_584]),
[final] ).
cnf(c_0_1666,negated_conjecture,
( product(e_5,e_1,e_4)
| product(e_2,e_4,e_5) ),
inference(sr,[status(thm)],[c_0_1386,c_0_1065]),
[final] ).
cnf(c_0_1667,negated_conjecture,
( ~ product(e_2,e_4,X1)
| product(X1,e_3,e_4)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_134,c_0_1387]),
[final] ).
cnf(c_0_1668,negated_conjecture,
( ~ product(e_5,e_3,X1)
| ~ product(e_3,e_2,e_4)
| product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_134,c_0_704]),
[final] ).
cnf(c_0_1669,negated_conjecture,
( ~ product(e_1,e_3,X1)
| ~ product(e_3,e_2,e_4)
| product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_134,c_0_760]),
[final] ).
cnf(c_0_1670,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_2,e_4,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1388,c_0_408]),c_0_415]),
[final] ).
cnf(c_0_1671,negated_conjecture,
( ~ product(e_3,e_4,X1)
| ~ product(e_3,e_2,e_5)
| product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_134,c_0_405]),
[final] ).
cnf(c_0_1672,negated_conjecture,
( ~ product(e_2,e_1,X1)
| ~ product(e_3,e_2,e_5)
| product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_393]),
[final] ).
cnf(c_0_1673,negated_conjecture,
( ~ product(e_2,e_3,e_5)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_607,c_0_567]),
[final] ).
cnf(c_0_1674,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_5,e_2,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_948,c_0_317]),c_0_421]),
[final] ).
cnf(c_0_1675,negated_conjecture,
( ~ product(e_1,e_3,X1)
| product(X1,e_2,e_3)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_134,c_0_269]),
[final] ).
cnf(c_0_1676,negated_conjecture,
( ~ product(e_2,e_5,e_1)
| product(e_3,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_355,c_0_734]),c_0_241]),
[final] ).
cnf(c_0_1678,negated_conjecture,
( ~ product(e_1,e_5,X1)
| product(X1,e_2,e_5)
| product(e_3,e_4,e_5)
| product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_259]),
[final] ).
cnf(c_0_1679,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_1390,c_0_252]),
[final] ).
cnf(c_0_1680,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_5,e_1,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1391,c_0_226]),c_0_426]),
[final] ).
cnf(c_0_1681,negated_conjecture,
( ~ product(e_4,e_3,e_1)
| product(e_2,e_5,e_4) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_345]),c_0_346]),c_0_347]),
[final] ).
cnf(c_0_1682,negated_conjecture,
( ~ product(e_2,e_3,e_1)
| product(e_2,e_5,e_4) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_345]),c_0_346]),c_0_347]),
[final] ).
cnf(c_0_1683,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_4,e_3,e_2) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_315,c_0_218]),c_0_197]),c_0_167]),
[final] ).
cnf(c_0_1684,axiom,
greater(e_2,e_1),
e_2_greater_e_1,
[final] ).
cnf(c_0_1685,axiom,
greater(e_3,e_1),
e_3_greater_e_1,
[final] ).
cnf(c_0_1686,axiom,
greater(e_4,e_1),
e_4_greater_e_1,
[final] ).
cnf(c_0_1687,axiom,
greater(e_5,e_1),
e_5_greater_e_1,
[final] ).
cnf(c_0_1701,negated_conjecture,
( ~ product(e_4,e_1,X1)
| product(X1,e_2,e_1)
| product(e_3,e_4,e_5)
| product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_134,c_0_1394]),
[final] ).
cnf(c_0_1702,negated_conjecture,
( ~ product(e_1,e_4,e_3)
| product(e_3,e_4,e_5)
| product(e_4,e_5,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1395,c_0_329]),c_0_241]),
[final] ).
cnf(c_0_1703,negated_conjecture,
( product(e_5,e_1,e_2)
| product(e_5,e_3,e_2)
| product(e_4,e_5,e_3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_1396]),c_0_252])]),
[final] ).
cnf(c_0_1704,negated_conjecture,
( ~ product(e_3,e_5,e_4)
| product(e_3,e_4,e_5)
| product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_1397,c_0_1398]),
[final] ).
cnf(c_0_1705,negated_conjecture,
( ~ product(e_3,e_1,X1)
| product(X1,e_4,e_1)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1399,c_0_1400]),
[final] ).
cnf(c_0_1706,negated_conjecture,
( ~ product(e_2,e_1,X1)
| product(X1,e_5,e_1)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_1400]),
[final] ).
cnf(c_0_1707,negated_conjecture,
( ~ product(e_3,e_1,X1)
| product(X1,e_4,e_1)
| product(e_5,e_2,e_3)
| product(e_4,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1399,c_0_1401]),
[final] ).
cnf(c_0_1708,negated_conjecture,
( ~ product(e_2,e_1,X1)
| product(X1,e_5,e_1)
| product(e_5,e_2,e_3)
| product(e_4,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_1401]),
[final] ).
cnf(c_0_1709,negated_conjecture,
( ~ product(e_3,e_1,X1)
| product(X1,e_4,e_1)
| product(e_2,e_5,e_1)
| product(e_4,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1399,c_0_1402]),
[final] ).
cnf(c_0_1710,negated_conjecture,
( ~ product(e_2,e_1,X1)
| product(X1,e_5,e_1)
| product(e_2,e_5,e_1)
| product(e_4,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_1402]),
[final] ).
cnf(c_0_1711,negated_conjecture,
( ~ product(e_3,e_1,X1)
| product(X1,e_4,e_1)
| product(e_4,e_2,e_1)
| product(e_4,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1399,c_0_1403]),
[final] ).
cnf(c_0_1712,negated_conjecture,
( ~ product(e_2,e_1,X1)
| product(X1,e_5,e_1)
| product(e_4,e_2,e_1)
| product(e_4,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_1403]),
[final] ).
cnf(c_0_1713,negated_conjecture,
( ~ product(e_2,e_1,X1)
| product(X1,e_5,e_1)
| product(e_2,e_3,e_4)
| product(e_4,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_1404]),
[final] ).
cnf(c_0_1714,negated_conjecture,
( ~ product(e_3,e_1,X1)
| product(X1,e_4,e_1)
| product(e_4,e_5,e_3)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_1399,c_0_1405]),
[final] ).
cnf(c_0_1715,negated_conjecture,
( ~ product(e_2,e_1,X1)
| product(X1,e_5,e_1)
| product(e_4,e_5,e_3)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_134,c_0_1405]),
[final] ).
cnf(c_0_1716,negated_conjecture,
( ~ product(e_3,e_1,X1)
| product(X1,e_4,e_1)
| product(e_2,e_3,e_1)
| product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_1399,c_0_1406]),
[final] ).
cnf(c_0_1717,negated_conjecture,
( ~ product(e_2,e_1,X1)
| product(X1,e_5,e_1)
| product(e_2,e_3,e_1)
| product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_134,c_0_1406]),
[final] ).
cnf(c_0_1718,negated_conjecture,
( ~ product(e_3,e_1,X1)
| product(X1,e_4,e_1)
| product(e_3,e_5,e_2)
| product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_1399,c_0_1407]),
[final] ).
cnf(c_0_1719,negated_conjecture,
( ~ product(e_2,e_1,X1)
| product(X1,e_5,e_1)
| product(e_3,e_5,e_2)
| product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_134,c_0_1407]),
[final] ).
cnf(c_0_1720,negated_conjecture,
( ~ product(e_2,e_1,X1)
| product(X1,e_5,e_1)
| product(e_3,e_5,e_4)
| product(e_4,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_1408]),
[final] ).
cnf(c_0_1721,negated_conjecture,
( ~ product(e_3,e_1,X1)
| product(X1,e_4,e_1)
| product(e_5,e_2,e_3)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_1399,c_0_1409]),
[final] ).
cnf(c_0_1722,negated_conjecture,
( ~ product(e_2,e_1,X1)
| product(X1,e_5,e_1)
| product(e_5,e_2,e_3)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_134,c_0_1409]),
[final] ).
cnf(c_0_1723,negated_conjecture,
( ~ product(e_1,e_2,e_4)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_138,c_0_1400]),
[final] ).
cnf(c_0_1724,negated_conjecture,
( ~ product(e_1,e_2,e_4)
| product(e_5,e_2,e_3)
| product(e_4,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_138,c_0_1401]),
[final] ).
cnf(c_0_1725,negated_conjecture,
( ~ product(e_1,e_2,e_4)
| product(e_2,e_5,e_1)
| product(e_4,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_138,c_0_1402]),
[final] ).
cnf(c_0_1726,negated_conjecture,
( ~ product(e_1,e_2,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_138,c_0_1403]),
[final] ).
cnf(c_0_1727,negated_conjecture,
( ~ product(e_3,e_1,X1)
| product(X1,e_4,e_1)
| product(e_3,e_1,e_4)
| product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_1399,c_0_1410]),
[final] ).
cnf(c_0_1728,negated_conjecture,
( ~ product(e_2,e_1,X1)
| product(X1,e_5,e_1)
| product(e_3,e_1,e_4)
| product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_1410]),
[final] ).
cnf(c_0_1729,negated_conjecture,
( ~ product(e_3,e_1,X1)
| product(X1,e_4,e_1)
| product(e_3,e_1,e_4)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1399,c_0_1411]),
[final] ).
cnf(c_0_1730,negated_conjecture,
( ~ product(e_2,e_1,X1)
| product(X1,e_5,e_1)
| product(e_3,e_1,e_4)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_1411]),
[final] ).
cnf(c_0_1731,negated_conjecture,
( ~ product(e_3,e_1,X1)
| product(X1,e_4,e_1)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1399,c_0_1412]),
[final] ).
cnf(c_0_1732,negated_conjecture,
( ~ product(e_2,e_1,X1)
| product(X1,e_5,e_1)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_134,c_0_1412]),
[final] ).
cnf(c_0_1733,negated_conjecture,
( ~ product(e_1,e_2,e_4)
| product(e_4,e_5,e_3)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_138,c_0_1405]),
[final] ).
cnf(c_0_1734,negated_conjecture,
( ~ product(e_1,e_2,e_4)
| product(e_2,e_3,e_1)
| product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_138,c_0_1406]),
[final] ).
cnf(c_0_1735,negated_conjecture,
( ~ product(e_1,e_2,e_4)
| product(e_3,e_5,e_2)
| product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_138,c_0_1407]),
[final] ).
cnf(c_0_1736,negated_conjecture,
( ~ product(e_3,e_5,X1)
| product(X1,e_1,e_5)
| product(e_3,e_1,e_4)
| product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_134,c_0_1413]),
[final] ).
cnf(c_0_1737,negated_conjecture,
( ~ product(e_4,e_5,X1)
| product(X1,e_2,e_5)
| product(e_5,e_3,e_2)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_134,c_0_1225]),
[final] ).
cnf(c_0_1738,negated_conjecture,
( ~ product(e_3,e_1,X1)
| product(X1,e_5,e_1)
| product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_1414]),
[final] ).
cnf(c_0_1739,negated_conjecture,
( ~ product(e_1,e_2,e_4)
| product(e_5,e_2,e_3)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_138,c_0_1409]),
[final] ).
cnf(c_0_1740,negated_conjecture,
( ~ product(e_3,e_1,X1)
| product(X1,e_5,e_1)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_1415]),
[final] ).
cnf(c_0_1741,negated_conjecture,
( ~ product(e_3,e_1,X1)
| product(X1,e_5,e_1)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_134,c_0_1416]),
[final] ).
cnf(c_0_1742,negated_conjecture,
( ~ product(e_3,e_1,X1)
| product(X1,e_5,e_1)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_134,c_0_1417]),
[final] ).
cnf(c_0_1743,negated_conjecture,
( ~ product(e_3,e_1,X1)
| product(X1,e_5,e_1)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_1418]),
[final] ).
cnf(c_0_1744,negated_conjecture,
( ~ product(e_3,e_1,X1)
| product(X1,e_5,e_1)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_134,c_0_1419]),
[final] ).
cnf(c_0_1745,negated_conjecture,
( ~ product(e_5,e_4,X1)
| product(X1,e_1,e_4)
| product(e_4,e_5,e_3)
| product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_1420]),
[final] ).
cnf(c_0_1746,negated_conjecture,
( ~ product(e_5,e_4,X1)
| product(X1,e_1,e_4)
| product(e_4,e_5,e_3)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_134,c_0_1421]),
[final] ).
cnf(c_0_1747,negated_conjecture,
( ~ product(e_5,e_4,X1)
| product(X1,e_1,e_4)
| product(e_4,e_5,e_3)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_134,c_0_1422]),
[final] ).
cnf(c_0_1748,negated_conjecture,
( ~ product(e_5,e_4,X1)
| product(X1,e_1,e_4)
| product(e_4,e_5,e_3)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_1423]),
[final] ).
cnf(c_0_1749,negated_conjecture,
( ~ product(e_5,e_4,X1)
| product(X1,e_1,e_4)
| product(e_4,e_5,e_3)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_1204]),
[final] ).
cnf(c_0_1750,negated_conjecture,
( ~ product(e_5,e_4,X1)
| product(X1,e_1,e_4)
| product(e_4,e_5,e_3)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_134,c_0_1424]),
[final] ).
cnf(c_0_1751,negated_conjecture,
( ~ product(e_3,e_5,X1)
| product(X1,e_1,e_5)
| product(e_4,e_5,e_1)
| product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_1263,c_0_1425]),
[final] ).
cnf(c_0_1752,negated_conjecture,
( ~ product(e_4,e_5,X1)
| product(X1,e_2,e_5)
| product(e_4,e_5,e_1)
| product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_1264,c_0_1425]),
[final] ).
cnf(c_0_1753,negated_conjecture,
( ~ product(e_2,e_5,X1)
| product(X1,e_3,e_5)
| product(e_4,e_5,e_1)
| product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_134,c_0_1425]),
[final] ).
cnf(c_0_1754,negated_conjecture,
( ~ product(e_3,e_5,X1)
| product(X1,e_1,e_5)
| product(e_4,e_5,e_1)
| product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_1263,c_0_1426]),
[final] ).
cnf(c_0_1755,negated_conjecture,
( ~ product(e_4,e_5,X1)
| product(X1,e_2,e_5)
| product(e_4,e_5,e_1)
| product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_1264,c_0_1426]),
[final] ).
cnf(c_0_1756,negated_conjecture,
( ~ product(e_2,e_5,X1)
| product(X1,e_3,e_5)
| product(e_4,e_5,e_1)
| product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_1426]),
[final] ).
cnf(c_0_1757,negated_conjecture,
( ~ product(e_3,e_5,X1)
| product(X1,e_1,e_5)
| product(e_4,e_5,e_1)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_1263,c_0_1427]),
[final] ).
cnf(c_0_1758,negated_conjecture,
( ~ product(e_4,e_5,X1)
| product(X1,e_2,e_5)
| product(e_4,e_5,e_1)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_1264,c_0_1427]),
[final] ).
cnf(c_0_1759,negated_conjecture,
( ~ product(e_2,e_5,X1)
| product(X1,e_3,e_5)
| product(e_4,e_5,e_1)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_134,c_0_1427]),
[final] ).
cnf(c_0_1760,negated_conjecture,
( ~ product(e_3,e_5,X1)
| product(X1,e_1,e_5)
| product(e_4,e_5,e_1)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_1263,c_0_1428]),
[final] ).
cnf(c_0_1761,negated_conjecture,
( ~ product(e_4,e_5,X1)
| product(X1,e_2,e_5)
| product(e_4,e_5,e_1)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_1264,c_0_1428]),
[final] ).
cnf(c_0_1762,negated_conjecture,
( ~ product(e_2,e_5,X1)
| product(X1,e_3,e_5)
| product(e_4,e_5,e_1)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_134,c_0_1428]),
[final] ).
cnf(c_0_1763,negated_conjecture,
( ~ product(e_3,e_5,X1)
| product(X1,e_1,e_5)
| product(e_4,e_5,e_1)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1263,c_0_1429]),
[final] ).
cnf(c_0_1764,negated_conjecture,
( ~ product(e_4,e_5,X1)
| product(X1,e_2,e_5)
| product(e_4,e_5,e_1)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1264,c_0_1429]),
[final] ).
cnf(c_0_1765,negated_conjecture,
( ~ product(e_2,e_5,X1)
| product(X1,e_3,e_5)
| product(e_4,e_5,e_1)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_1429]),
[final] ).
cnf(c_0_1766,negated_conjecture,
( ~ product(e_3,e_5,X1)
| product(X1,e_1,e_5)
| product(e_4,e_5,e_1)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_1263,c_0_1206]),
[final] ).
cnf(c_0_1767,negated_conjecture,
( ~ product(e_4,e_5,X1)
| product(X1,e_2,e_5)
| product(e_4,e_5,e_1)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_1264,c_0_1206]),
[final] ).
cnf(c_0_1768,negated_conjecture,
( ~ product(e_2,e_5,X1)
| product(X1,e_3,e_5)
| product(e_4,e_5,e_1)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_1206]),
[final] ).
cnf(c_0_1769,negated_conjecture,
( ~ product(e_3,e_5,X1)
| product(X1,e_1,e_5)
| product(e_4,e_5,e_1)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_1263,c_0_1430]),
[final] ).
cnf(c_0_1770,negated_conjecture,
( ~ product(e_4,e_5,X1)
| product(X1,e_2,e_5)
| product(e_4,e_5,e_1)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_1264,c_0_1430]),
[final] ).
cnf(c_0_1771,negated_conjecture,
( ~ product(e_2,e_5,X1)
| product(X1,e_3,e_5)
| product(e_4,e_5,e_1)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_134,c_0_1430]),
[final] ).
cnf(c_0_1772,negated_conjecture,
( ~ product(e_5,e_4,X1)
| product(X1,e_1,e_4)
| product(e_2,e_5,e_1)
| product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_134,c_0_1431]),
[final] ).
cnf(c_0_1773,negated_conjecture,
( ~ product(e_5,e_4,X1)
| product(X1,e_1,e_4)
| product(e_2,e_5,e_1)
| product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_1432]),
[final] ).
cnf(c_0_1774,negated_conjecture,
( ~ product(e_5,e_4,X1)
| product(X1,e_1,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_134,c_0_1433]),
[final] ).
cnf(c_0_1775,negated_conjecture,
( ~ product(e_5,e_4,X1)
| product(X1,e_1,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_1434]),
[final] ).
cnf(c_0_1776,negated_conjecture,
( ~ product(e_5,e_4,X1)
| product(X1,e_1,e_4)
| product(e_4,e_2,e_1)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_134,c_0_1435]),
[final] ).
cnf(c_0_1777,negated_conjecture,
( ~ product(e_5,e_4,X1)
| product(X1,e_1,e_4)
| product(e_4,e_2,e_1)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_134,c_0_1436]),
[final] ).
cnf(c_0_1778,negated_conjecture,
( ~ product(e_5,e_4,X1)
| product(X1,e_1,e_4)
| product(e_4,e_2,e_1)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_1437]),
[final] ).
cnf(c_0_1779,negated_conjecture,
( ~ product(e_5,e_4,X1)
| product(X1,e_1,e_4)
| product(e_4,e_2,e_1)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_1210]),
[final] ).
cnf(c_0_1780,negated_conjecture,
( ~ product(e_5,e_4,X1)
| product(X1,e_1,e_4)
| product(e_4,e_2,e_1)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_134,c_0_1438]),
[final] ).
cnf(c_0_1781,negated_conjecture,
( ~ product(e_5,e_4,X1)
| product(X1,e_1,e_4)
| product(e_4,e_3,e_1)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_134,c_0_1097]),
[final] ).
cnf(c_0_1782,negated_conjecture,
( ~ product(e_5,e_4,X1)
| product(X1,e_1,e_4)
| product(e_4,e_5,e_2)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_134,c_0_1112]),
[final] ).
cnf(c_0_1783,negated_conjecture,
( ~ product(e_3,e_1,X1)
| product(X1,e_4,e_1)
| product(e_2,e_3,e_4)
| product(e_4,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_951]),
[final] ).
cnf(c_0_1784,negated_conjecture,
( ~ product(e_5,e_4,e_3)
| product(e_3,e_1,e_4)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_1439,c_0_570]),
[final] ).
cnf(c_0_1785,negated_conjecture,
( ~ product(e_5,e_4,e_3)
| product(e_4,e_3,e_1)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_1440,c_0_570]),
[final] ).
cnf(c_0_1786,negated_conjecture,
( ~ product(e_5,e_4,e_4)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_130,c_0_1027]),
[final] ).
cnf(c_0_1787,negated_conjecture,
( ~ product(e_5,e_1,e_3)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_214,c_0_1027]),
[final] ).
cnf(c_0_1788,negated_conjecture,
( ~ product(e_5,e_1,e_2)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_290,c_0_1027]),
[final] ).
cnf(c_0_1789,negated_conjecture,
( ~ product(e_1,e_2,e_4)
| product(e_3,e_1,e_4)
| product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_138,c_0_1410]),
[final] ).
cnf(c_0_1790,negated_conjecture,
( ~ product(e_1,e_2,e_4)
| product(e_3,e_1,e_4)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_138,c_0_1411]),
[final] ).
cnf(c_0_1791,negated_conjecture,
( ~ product(e_1,e_2,e_4)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_138,c_0_1412]),
[final] ).
cnf(c_0_1792,negated_conjecture,
( ~ product(e_3,e_5,X1)
| product(X1,e_4,e_5)
| product(e_2,e_5,e_1)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_1441,c_0_1222]),
[final] ).
cnf(c_0_1793,negated_conjecture,
( ~ product(e_3,e_5,X1)
| product(X1,e_4,e_5)
| product(e_2,e_5,e_1)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_1441,c_0_1442]),
[final] ).
cnf(c_0_1794,negated_conjecture,
( ~ product(e_3,e_5,X1)
| product(X1,e_4,e_5)
| product(e_2,e_5,e_1)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1441,c_0_1244]),
[final] ).
cnf(c_0_1795,negated_conjecture,
( ~ product(e_3,e_5,X1)
| product(X1,e_4,e_5)
| product(e_2,e_5,e_1)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_1441,c_0_1443]),
[final] ).
cnf(c_0_1796,negated_conjecture,
( ~ product(e_3,e_5,X1)
| product(X1,e_4,e_5)
| product(e_2,e_3,e_4)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_1441,c_0_1224]),
[final] ).
cnf(c_0_1797,negated_conjecture,
( ~ product(e_3,e_5,X1)
| product(X1,e_4,e_5)
| product(e_2,e_3,e_4)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_1441,c_0_964]),
[final] ).
cnf(c_0_1798,negated_conjecture,
( ~ product(e_3,e_5,X1)
| product(X1,e_4,e_5)
| product(e_2,e_3,e_4)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_1441,c_0_1444]),
[final] ).
cnf(c_0_1799,negated_conjecture,
( ~ product(e_3,e_5,X1)
| product(X1,e_4,e_5)
| product(e_2,e_3,e_4)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1441,c_0_908]),
[final] ).
cnf(c_0_1800,negated_conjecture,
( ~ product(e_3,e_5,X1)
| product(X1,e_4,e_5)
| product(e_3,e_5,e_4)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_1441,c_0_1120]),
[final] ).
cnf(c_0_1801,negated_conjecture,
( ~ product(e_3,e_5,X1)
| product(X1,e_4,e_5)
| product(e_3,e_5,e_4)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1441,c_0_700]),
[final] ).
cnf(c_0_1802,negated_conjecture,
( ~ product(e_3,e_5,X1)
| product(X1,e_4,e_5)
| product(e_3,e_5,e_4)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_1441,c_0_1015]),
[final] ).
cnf(c_0_1803,negated_conjecture,
( ~ product(e_3,e_5,X1)
| product(X1,e_4,e_5)
| product(e_3,e_5,e_4)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_1441,c_0_1117]),
[final] ).
cnf(c_0_1804,negated_conjecture,
( ~ product(e_1,e_4,e_3)
| product(e_3,e_5,e_1)
| product(e_2,e_5,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1445,c_0_329]),c_0_241]),
[final] ).
cnf(c_0_1805,negated_conjecture,
( ~ product(e_1,e_4,e_3)
| product(e_3,e_5,e_1)
| product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1446,c_0_329]),c_0_241]),
[final] ).
cnf(c_0_1806,negated_conjecture,
( ~ product(e_5,e_4,e_2)
| product(e_4,e_5,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_1447]),c_0_205]),
[final] ).
cnf(c_0_1807,negated_conjecture,
( ~ product(e_4,e_1,X1)
| product(X1,e_2,e_1)
| product(e_5,e_3,e_2)
| product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_1448,c_0_946]),
[final] ).
cnf(c_0_1808,negated_conjecture,
( ~ product(e_4,e_5,X1)
| product(X1,e_3,e_5)
| product(e_5,e_3,e_2)
| product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_1449,c_0_946]),
[final] ).
cnf(c_0_1809,negated_conjecture,
( ~ product(e_4,e_5,X1)
| product(X1,e_3,e_5)
| product(e_5,e_2,e_3)
| product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_1449,c_0_931]),
[final] ).
cnf(c_0_1810,negated_conjecture,
( ~ product(e_4,e_5,X1)
| product(X1,e_3,e_5)
| product(e_5,e_3,e_2)
| product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_1449,c_0_689]),
[final] ).
cnf(c_0_1811,negated_conjecture,
( ~ product(e_3,e_1,X1)
| product(X1,e_5,e_1)
| product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_134,c_0_1450]),
[final] ).
cnf(c_0_1812,negated_conjecture,
( ~ product(e_3,e_1,X1)
| product(X1,e_4,e_1)
| product(e_3,e_1,e_4)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_1399,c_0_1451]),
[final] ).
cnf(c_0_1813,negated_conjecture,
( ~ product(e_2,e_1,X1)
| product(X1,e_5,e_1)
| product(e_3,e_1,e_4)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_134,c_0_1451]),
[final] ).
cnf(c_0_1814,negated_conjecture,
( ~ product(e_1,e_4,e_3)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1452,c_0_329]),c_0_241]),
[final] ).
cnf(c_0_1815,negated_conjecture,
( ~ product(e_1,e_4,e_3)
| product(e_2,e_5,e_1)
| product(e_2,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1453,c_0_329]),c_0_241]),
[final] ).
cnf(c_0_1816,negated_conjecture,
( ~ product(e_1,e_4,e_3)
| product(e_2,e_4,e_1)
| product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1454,c_0_329]),c_0_241]),
[final] ).
cnf(c_0_1817,negated_conjecture,
( ~ product(e_1,e_4,e_3)
| product(e_2,e_5,e_1)
| product(e_3,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1455,c_0_329]),c_0_241]),
[final] ).
cnf(c_0_1818,negated_conjecture,
( ~ product(e_1,e_5,X1)
| product(X1,e_2,e_5)
| product(e_3,e_5,e_4)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_1456]),
[final] ).
cnf(c_0_1819,negated_conjecture,
( ~ product(e_1,e_5,X1)
| product(X1,e_2,e_5)
| product(e_3,e_5,e_4)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_134,c_0_1457]),
[final] ).
cnf(c_0_1820,negated_conjecture,
( ~ product(e_1,e_5,X1)
| product(X1,e_2,e_5)
| product(e_3,e_5,e_4)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_1458]),
[final] ).
cnf(c_0_1821,negated_conjecture,
( ~ product(e_5,e_4,X1)
| product(X1,e_1,e_4)
| product(e_2,e_5,e_1)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_1459,c_0_1222]),
[final] ).
cnf(c_0_1822,negated_conjecture,
( ~ product(e_5,e_4,X1)
| product(X1,e_1,e_4)
| product(e_2,e_5,e_1)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_1459,c_0_1442]),
[final] ).
cnf(c_0_1823,negated_conjecture,
( ~ product(e_5,e_4,X1)
| product(X1,e_1,e_4)
| product(e_2,e_5,e_1)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_1459,c_0_1460]),
[final] ).
cnf(c_0_1824,negated_conjecture,
( ~ product(e_5,e_4,X1)
| product(X1,e_1,e_4)
| product(e_2,e_5,e_1)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1459,c_0_1244]),
[final] ).
cnf(c_0_1825,negated_conjecture,
( ~ product(e_5,e_4,X1)
| product(X1,e_1,e_4)
| product(e_2,e_5,e_1)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_1459,c_0_1443]),
[final] ).
cnf(c_0_1826,negated_conjecture,
( ~ product(e_5,e_4,X1)
| product(X1,e_1,e_4)
| product(e_2,e_3,e_4)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_1459,c_0_1224]),
[final] ).
cnf(c_0_1827,negated_conjecture,
( ~ product(e_5,e_4,X1)
| product(X1,e_1,e_4)
| product(e_2,e_3,e_4)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_1459,c_0_964]),
[final] ).
cnf(c_0_1828,negated_conjecture,
( ~ product(e_5,e_4,X1)
| product(X1,e_1,e_4)
| product(e_2,e_3,e_4)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_1459,c_0_1444]),
[final] ).
cnf(c_0_1829,negated_conjecture,
( ~ product(e_5,e_4,X1)
| product(X1,e_1,e_4)
| product(e_2,e_3,e_4)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1459,c_0_908]),
[final] ).
cnf(c_0_1830,negated_conjecture,
( ~ product(e_4,e_1,X1)
| product(X1,e_3,e_1)
| product(e_4,e_3,e_1)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_1256,c_0_1129]),
[final] ).
cnf(c_0_1831,negated_conjecture,
( ~ product(e_5,e_1,X1)
| product(X1,e_2,e_1)
| product(e_4,e_3,e_1)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_1257,c_0_1129]),
[final] ).
cnf(c_0_1832,negated_conjecture,
( ~ product(e_5,e_4,X1)
| product(X1,e_3,e_4)
| product(e_4,e_3,e_1)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_134,c_0_1129]),
[final] ).
cnf(c_0_1833,negated_conjecture,
( ~ product(e_3,e_5,X1)
| product(X1,e_4,e_5)
| product(e_5,e_3,e_2)
| product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_134,c_0_946]),
[final] ).
cnf(c_0_1834,negated_conjecture,
( ~ product(e_5,e_4,X1)
| product(X1,e_1,e_4)
| product(e_4,e_5,e_2)
| product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_134,c_0_1461]),
[final] ).
cnf(c_0_1835,negated_conjecture,
( ~ product(e_4,e_1,X1)
| product(X1,e_3,e_1)
| product(e_3,e_1,e_4)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_1462,c_0_1099]),
[final] ).
cnf(c_0_1836,negated_conjecture,
( ~ product(e_4,e_1,X1)
| product(X1,e_3,e_1)
| product(e_3,e_1,e_4)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_1462,c_0_1101]),
[final] ).
cnf(c_0_1837,negated_conjecture,
( ~ product(e_4,e_1,X1)
| product(X1,e_3,e_1)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_1462,c_0_784]),
[final] ).
cnf(c_0_1838,negated_conjecture,
( ~ product(e_4,e_1,X1)
| product(X1,e_3,e_1)
| product(e_3,e_1,e_4)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1462,c_0_1104]),
[final] ).
cnf(c_0_1839,negated_conjecture,
( ~ product(e_4,e_1,X1)
| product(X1,e_3,e_1)
| product(e_3,e_1,e_4)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_1462,c_0_1041]),
[final] ).
cnf(c_0_1840,negated_conjecture,
( ~ product(e_5,e_1,X1)
| product(X1,e_2,e_1)
| product(e_3,e_1,e_4)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_1463,c_0_1099]),
[final] ).
cnf(c_0_1841,negated_conjecture,
( ~ product(e_5,e_1,X1)
| product(X1,e_2,e_1)
| product(e_3,e_1,e_4)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_1463,c_0_1101]),
[final] ).
cnf(c_0_1842,negated_conjecture,
( ~ product(e_5,e_1,X1)
| product(X1,e_2,e_1)
| product(e_3,e_1,e_4)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1463,c_0_1104]),
[final] ).
cnf(c_0_1843,negated_conjecture,
( ~ product(e_5,e_1,X1)
| product(X1,e_2,e_1)
| product(e_3,e_1,e_4)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_1463,c_0_1041]),
[final] ).
cnf(c_0_1844,negated_conjecture,
( ~ product(e_5,e_4,X1)
| product(X1,e_3,e_4)
| product(e_3,e_1,e_4)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_1464,c_0_1099]),
[final] ).
cnf(c_0_1845,negated_conjecture,
( ~ product(e_5,e_4,X1)
| product(X1,e_3,e_4)
| product(e_3,e_1,e_4)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_1464,c_0_1101]),
[final] ).
cnf(c_0_1846,negated_conjecture,
( ~ product(e_5,e_4,X1)
| product(X1,e_3,e_4)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_1464,c_0_784]),
[final] ).
cnf(c_0_1847,negated_conjecture,
( ~ product(e_5,e_4,X1)
| product(X1,e_3,e_4)
| product(e_3,e_1,e_4)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1464,c_0_1104]),
[final] ).
cnf(c_0_1848,negated_conjecture,
( ~ product(e_5,e_4,X1)
| product(X1,e_3,e_4)
| product(e_3,e_1,e_4)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_1464,c_0_1041]),
[final] ).
cnf(c_0_1849,negated_conjecture,
( ~ product(e_5,e_2,e_1)
| product(e_3,e_1,e_4)
| product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_232,c_0_1413]),
[final] ).
cnf(c_0_1850,negated_conjecture,
( ~ product(e_5,e_4,X1)
| product(X1,e_1,e_4)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_1465,c_0_419]),
[final] ).
cnf(c_0_1851,negated_conjecture,
( ~ product(e_5,e_4,X1)
| product(X1,e_1,e_4)
| product(e_4,e_3,e_1)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_134,c_0_1466]),
[final] ).
cnf(c_0_1852,negated_conjecture,
( ~ product(e_5,e_4,X1)
| product(X1,e_1,e_4)
| product(e_4,e_5,e_2)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_134,c_0_863]),
[final] ).
cnf(c_0_1853,negated_conjecture,
( ~ product(e_5,e_4,X1)
| product(X1,e_1,e_4)
| product(e_3,e_5,e_4)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_134,c_0_1467]),
[final] ).
cnf(c_0_1854,negated_conjecture,
( ~ product(e_5,e_4,X1)
| product(X1,e_1,e_4)
| product(e_3,e_5,e_4)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_134,c_0_1468]),
[final] ).
cnf(c_0_1855,negated_conjecture,
( ~ product(e_5,e_4,X1)
| product(X1,e_1,e_4)
| product(e_3,e_5,e_4)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_1218]),
[final] ).
cnf(c_0_1856,negated_conjecture,
( ~ product(e_5,e_4,X1)
| product(X1,e_1,e_4)
| product(e_3,e_5,e_4)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_1469]),
[final] ).
cnf(c_0_1857,negated_conjecture,
( ~ product(e_3,e_1,X1)
| product(X1,e_4,e_1)
| product(e_3,e_5,e_4)
| product(e_4,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_724]),
[final] ).
cnf(c_0_1858,negated_conjecture,
( ~ product(e_5,e_4,X1)
| product(X1,e_1,e_4)
| product(e_3,e_5,e_4)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_134,c_0_1470]),
[final] ).
cnf(c_0_1859,negated_conjecture,
( ~ product(e_3,e_5,X1)
| product(X1,e_1,e_5)
| product(e_3,e_1,e_4)
| product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_1263,c_0_1038]),
[final] ).
cnf(c_0_1860,negated_conjecture,
( ~ product(e_4,e_5,X1)
| product(X1,e_2,e_5)
| product(e_3,e_1,e_4)
| product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_1264,c_0_1038]),
[final] ).
cnf(c_0_1861,negated_conjecture,
( ~ product(e_5,e_1,X1)
| product(X1,e_2,e_1)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_134,c_0_812]),
[final] ).
cnf(c_0_1862,negated_conjecture,
( ~ product(e_3,e_5,X1)
| product(X1,e_1,e_5)
| product(e_3,e_1,e_4)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_1471,c_0_1099]),
[final] ).
cnf(c_0_1863,negated_conjecture,
( ~ product(e_4,e_5,X1)
| product(X1,e_2,e_5)
| product(e_3,e_1,e_4)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_1472,c_0_1099]),
[final] ).
cnf(c_0_1864,negated_conjecture,
( ~ product(e_2,e_4,X1)
| product(X1,e_1,e_4)
| product(e_3,e_1,e_4)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_1099]),
[final] ).
cnf(c_0_1865,negated_conjecture,
( ~ product(e_3,e_5,X1)
| product(X1,e_1,e_5)
| product(e_3,e_1,e_4)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_1471,c_0_1101]),
[final] ).
cnf(c_0_1866,negated_conjecture,
( ~ product(e_4,e_5,X1)
| product(X1,e_2,e_5)
| product(e_3,e_1,e_4)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_1472,c_0_1101]),
[final] ).
cnf(c_0_1867,negated_conjecture,
( ~ product(e_2,e_4,X1)
| product(X1,e_1,e_4)
| product(e_3,e_1,e_4)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_134,c_0_1101]),
[final] ).
cnf(c_0_1868,negated_conjecture,
( ~ product(e_3,e_4,X1)
| product(X1,e_1,e_4)
| product(e_4,e_2,e_1)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_134,c_0_1473]),
[final] ).
cnf(c_0_1869,negated_conjecture,
( ~ product(e_3,e_5,X1)
| product(X1,e_1,e_5)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_1471,c_0_784]),
[final] ).
cnf(c_0_1870,negated_conjecture,
( ~ product(e_4,e_5,X1)
| product(X1,e_2,e_5)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_1472,c_0_784]),
[final] ).
cnf(c_0_1871,negated_conjecture,
( ~ product(e_3,e_5,X1)
| product(X1,e_1,e_5)
| product(e_3,e_1,e_4)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1471,c_0_1104]),
[final] ).
cnf(c_0_1872,negated_conjecture,
( ~ product(e_4,e_5,X1)
| product(X1,e_2,e_5)
| product(e_3,e_1,e_4)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1472,c_0_1104]),
[final] ).
cnf(c_0_1873,negated_conjecture,
( ~ product(e_2,e_4,X1)
| product(X1,e_1,e_4)
| product(e_3,e_1,e_4)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_1104]),
[final] ).
cnf(c_0_1874,negated_conjecture,
( ~ product(e_3,e_5,X1)
| product(X1,e_1,e_5)
| product(e_3,e_1,e_4)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_1471,c_0_1041]),
[final] ).
cnf(c_0_1875,negated_conjecture,
( ~ product(e_4,e_5,X1)
| product(X1,e_2,e_5)
| product(e_3,e_1,e_4)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_1472,c_0_1041]),
[final] ).
cnf(c_0_1876,negated_conjecture,
( ~ product(e_2,e_4,X1)
| product(X1,e_1,e_4)
| product(e_3,e_1,e_4)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_134,c_0_1041]),
[final] ).
cnf(c_0_1877,negated_conjecture,
( ~ product(e_3,e_4,X1)
| product(X1,e_1,e_4)
| product(e_2,e_5,e_1)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_134,c_0_1474]),
[final] ).
cnf(c_0_1878,negated_conjecture,
( ~ product(e_1,e_3,X1)
| product(X1,e_4,e_3)
| product(e_2,e_5,e_1)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_1244]),
[final] ).
cnf(c_0_1879,negated_conjecture,
( ~ product(e_2,e_4,e_5)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1475,c_0_421]),
[final] ).
cnf(c_0_1880,negated_conjecture,
( ~ product(e_2,e_4,e_5)
| product(e_5,e_2,e_3)
| product(e_4,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1476,c_0_421]),
[final] ).
cnf(c_0_1881,negated_conjecture,
( ~ product(e_2,e_4,e_5)
| product(e_2,e_5,e_1)
| product(e_4,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1477,c_0_421]),
[final] ).
cnf(c_0_1882,negated_conjecture,
( ~ product(e_2,e_4,e_5)
| product(e_4,e_2,e_1)
| product(e_4,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1478,c_0_421]),
[final] ).
cnf(c_0_1883,negated_conjecture,
( ~ product(e_4,e_2,e_3)
| product(e_4,e_5,e_1)
| product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_118,c_0_1425]),
[final] ).
cnf(c_0_1884,negated_conjecture,
( ~ product(e_4,e_2,e_3)
| product(e_4,e_5,e_1)
| product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_118,c_0_1426]),
[final] ).
cnf(c_0_1885,negated_conjecture,
( ~ product(e_4,e_2,e_3)
| product(e_4,e_5,e_1)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_118,c_0_1427]),
[final] ).
cnf(c_0_1886,negated_conjecture,
( ~ product(e_4,e_2,e_3)
| product(e_4,e_5,e_1)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_118,c_0_1428]),
[final] ).
cnf(c_0_1887,negated_conjecture,
( ~ product(e_4,e_2,e_3)
| product(e_4,e_5,e_1)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_118,c_0_1429]),
[final] ).
cnf(c_0_1888,negated_conjecture,
( ~ product(e_4,e_2,e_3)
| product(e_4,e_5,e_1)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_118,c_0_1206]),
[final] ).
cnf(c_0_1889,negated_conjecture,
( ~ product(e_4,e_2,e_3)
| product(e_4,e_5,e_1)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_118,c_0_1430]),
[final] ).
cnf(c_0_1890,negated_conjecture,
( ~ product(e_1,e_2,e_5)
| product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_1479,c_0_1202]),
[final] ).
cnf(c_0_1891,negated_conjecture,
( ~ product(e_1,e_2,e_5)
| product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_1480,c_0_1202]),
[final] ).
cnf(c_0_1892,negated_conjecture,
( ~ product(e_1,e_3,e_4)
| product(e_3,e_5,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_1235]),c_0_99]),
[final] ).
cnf(c_0_1893,negated_conjecture,
( ~ product(e_1,e_3,e_4)
| product(e_2,e_4,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_1229]),c_0_99]),
[final] ).
cnf(c_0_1894,negated_conjecture,
( ~ product(e_1,e_3,e_4)
| product(e_3,e_2,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_1231]),c_0_99]),
[final] ).
cnf(c_0_1895,negated_conjecture,
( ~ product(e_1,e_3,e_4)
| product(e_2,e_3,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_1233]),c_0_99]),
[final] ).
cnf(c_0_1896,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_2,e_5,e_1)
| product(e_4,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_979,c_0_1082]),
[final] ).
cnf(c_0_1897,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_3,e_4,e_5)
| product(e_4,e_5,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1481,c_0_1082]),c_0_1084]),
[final] ).
cnf(c_0_1898,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_3,e_2,e_4)
| product(e_4,e_5,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1482,c_0_1082]),c_0_1084]),
[final] ).
cnf(c_0_1899,negated_conjecture,
( ~ product(e_4,e_3,e_2)
| product(e_2,e_3,e_4)
| product(e_4,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_118,c_0_1086]),
[final] ).
cnf(c_0_1900,negated_conjecture,
( ~ product(e_2,e_4,e_5)
| product(e_2,e_3,e_4)
| product(e_4,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1483,c_0_421]),
[final] ).
cnf(c_0_1901,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_2,e_3,e_5)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1007,c_0_1054]),
[final] ).
cnf(c_0_1902,negated_conjecture,
( ~ product(e_1,e_3,e_4)
| product(e_3,e_4,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_1237]),c_0_99]),
[final] ).
cnf(c_0_1903,negated_conjecture,
( ~ product(e_1,e_2,e_5)
| product(e_3,e_5,e_1) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1023,c_0_1202]),c_0_222]),c_0_1484]),
[final] ).
cnf(c_0_1904,negated_conjecture,
( ~ product(e_5,e_4,X1)
| product(X1,e_2,e_4)
| product(e_3,e_1,e_4)
| product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_755]),
[final] ).
cnf(c_0_1905,negated_conjecture,
( ~ product(e_5,e_4,X1)
| product(X1,e_2,e_4)
| product(e_3,e_1,e_4)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_1094]),
[final] ).
cnf(c_0_1906,negated_conjecture,
( ~ product(e_5,e_4,X1)
| product(X1,e_2,e_4)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_134,c_0_865]),
[final] ).
cnf(c_0_1907,negated_conjecture,
( ~ product(e_3,e_5,e_4)
| product(e_4,e_5,e_3)
| product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_1485,c_0_1398]),
[final] ).
cnf(c_0_1908,negated_conjecture,
( ~ product(e_3,e_5,X1)
| ~ product(e_3,e_5,e_2)
| product(X1,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_1441,c_0_732]),
[final] ).
cnf(c_0_1909,negated_conjecture,
( ~ product(e_1,e_5,X1)
| ~ product(e_3,e_5,e_2)
| product(X1,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_134,c_0_1486]),
[final] ).
cnf(c_0_1910,negated_conjecture,
( ~ product(e_1,e_5,X1)
| ~ product(e_2,e_3,e_1)
| product(X1,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_134,c_0_1487]),
[final] ).
cnf(c_0_1911,negated_conjecture,
( ~ product(e_3,e_5,e_2)
| ~ product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_182,c_0_1486]),
[final] ).
cnf(c_0_1912,negated_conjecture,
( ~ product(e_4,e_5,X1)
| product(X1,e_3,e_5)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_1488]),
[final] ).
cnf(c_0_1913,negated_conjecture,
( ~ product(e_3,e_1,e_4)
| product(e_1,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1198,c_0_1029]),c_0_1200]),
[final] ).
cnf(c_0_1914,negated_conjecture,
( ~ product(e_4,e_5,X1)
| ~ product(e_3,e_5,e_2)
| product(X1,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_134,c_0_1270]),
[final] ).
cnf(c_0_1915,negated_conjecture,
( ~ product(e_2,e_5,X1)
| ~ product(e_3,e_1,e_4)
| product(X1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_134,c_0_1110]),
[final] ).
cnf(c_0_1916,negated_conjecture,
( ~ product(e_4,e_1,X1)
| ~ product(e_3,e_1,e_4)
| product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_735,c_0_970]),
[final] ).
cnf(c_0_1917,negated_conjecture,
( ~ product(e_4,e_5,X1)
| ~ product(e_3,e_1,e_4)
| product(X1,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_134,c_0_970]),
[final] ).
cnf(c_0_1918,negated_conjecture,
( ~ product(e_2,e_3,e_1)
| product(e_1,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1198,c_0_1487]),c_0_1200]),
[final] ).
cnf(c_0_1919,negated_conjecture,
( ~ product(e_4,e_5,X1)
| ~ product(e_2,e_3,e_1)
| product(X1,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_134,c_0_1272]),
[final] ).
cnf(c_0_1920,negated_conjecture,
( ~ product(e_5,e_3,e_4)
| product(e_1,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1198,c_0_903]),c_0_1200]),
[final] ).
cnf(c_0_1921,negated_conjecture,
( ~ product(e_3,e_1,e_4)
| ~ product(e_5,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_230,c_0_970]),
[final] ).
cnf(c_0_1922,negated_conjecture,
( ~ product(e_3,e_1,e_4)
| ~ product(e_5,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_186,c_0_970]),
[final] ).
cnf(c_0_1923,negated_conjecture,
( ~ product(e_2,e_3,e_1)
| ~ product(e_5,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_186,c_0_1272]),
[final] ).
cnf(c_0_1924,negated_conjecture,
( ~ product(e_5,e_3,e_4)
| ~ product(e_5,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_186,c_0_861]),
[final] ).
cnf(c_0_1925,negated_conjecture,
( ~ product(e_3,e_5,X1)
| product(X1,e_1,e_5)
| product(e_4,e_5,e_2)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_519,c_0_618]),
[final] ).
cnf(c_0_1926,negated_conjecture,
( ~ product(e_4,e_5,X1)
| product(X1,e_2,e_5)
| product(e_4,e_5,e_2)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_1489,c_0_618]),
[final] ).
cnf(c_0_1927,negated_conjecture,
( ~ product(e_4,e_1,X1)
| product(X1,e_3,e_1)
| product(e_4,e_5,e_2)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_1256,c_0_618]),
[final] ).
cnf(c_0_1928,negated_conjecture,
( ~ product(e_5,e_1,X1)
| product(X1,e_2,e_1)
| product(e_4,e_5,e_2)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_1257,c_0_618]),
[final] ).
cnf(c_0_1929,negated_conjecture,
( ~ product(e_5,e_4,X1)
| product(X1,e_3,e_4)
| product(e_4,e_5,e_2)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_134,c_0_618]),
[final] ).
cnf(c_0_1930,negated_conjecture,
( ~ product(e_1,e_2,e_4)
| product(e_3,e_1,e_4)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_138,c_0_1451]),
[final] ).
cnf(c_0_1931,negated_conjecture,
( ~ product(e_4,e_1,X1)
| product(X1,e_3,e_1)
| product(e_3,e_5,e_1)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_1256,c_0_1144]),
[final] ).
cnf(c_0_1932,negated_conjecture,
( ~ product(e_5,e_1,X1)
| product(X1,e_2,e_1)
| product(e_3,e_5,e_1)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_1257,c_0_1144]),
[final] ).
cnf(c_0_1933,negated_conjecture,
( ~ product(e_5,e_4,X1)
| product(X1,e_3,e_4)
| product(e_3,e_5,e_1)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_134,c_0_1144]),
[final] ).
cnf(c_0_1934,negated_conjecture,
( ~ product(e_5,e_4,X1)
| product(X1,e_3,e_4)
| product(e_2,e_3,e_5)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_1490]),
[final] ).
cnf(c_0_1935,negated_conjecture,
( ~ product(e_4,e_1,X1)
| product(X1,e_3,e_1)
| product(e_3,e_5,e_2)
| product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_1256,c_0_1491]),
[final] ).
cnf(c_0_1936,negated_conjecture,
( ~ product(e_5,e_4,X1)
| product(X1,e_3,e_4)
| product(e_3,e_5,e_2)
| product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_1491]),
[final] ).
cnf(c_0_1937,negated_conjecture,
( ~ product(e_4,e_1,X1)
| product(X1,e_3,e_1)
| product(e_2,e_3,e_1)
| product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_1256,c_0_1492]),
[final] ).
cnf(c_0_1938,negated_conjecture,
( ~ product(e_5,e_4,X1)
| product(X1,e_3,e_4)
| product(e_2,e_3,e_1)
| product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_1492]),
[final] ).
cnf(c_0_1939,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_2,e_5,e_1) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1198,c_0_1252]),c_0_1200]),c_0_1493]),
[final] ).
cnf(c_0_1940,negated_conjecture,
( ~ product(e_5,e_4,X1)
| product(X1,e_3,e_4)
| product(e_3,e_2,e_4)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_134,c_0_1494]),
[final] ).
cnf(c_0_1941,negated_conjecture,
( ~ product(e_2,e_4,e_5)
| product(e_4,e_5,e_3)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_1495,c_0_421]),
[final] ).
cnf(c_0_1942,negated_conjecture,
( ~ product(e_5,e_2,e_1)
| product(e_2,e_4,e_1)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_232,c_0_1496]),
[final] ).
cnf(c_0_1943,negated_conjecture,
( ~ product(e_5,e_2,e_1)
| product(e_3,e_5,e_1)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_232,c_0_1497]),
[final] ).
cnf(c_0_1944,negated_conjecture,
( ~ product(e_5,e_2,e_1)
| product(e_4,e_3,e_1)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_232,c_0_1498]),
[final] ).
cnf(c_0_1945,negated_conjecture,
( ~ product(e_5,e_2,e_1)
| product(e_3,e_2,e_4)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_232,c_0_1499]),
[final] ).
cnf(c_0_1946,negated_conjecture,
( ~ product(e_2,e_4,e_5)
| product(e_2,e_3,e_1)
| product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_1500,c_0_421]),
[final] ).
cnf(c_0_1947,negated_conjecture,
( ~ product(e_2,e_4,e_5)
| product(e_3,e_5,e_2)
| product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_1501,c_0_421]),
[final] ).
cnf(c_0_1948,negated_conjecture,
( ~ product(e_2,e_1,X1)
| ~ product(e_3,e_5,e_2)
| product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_1502]),
[final] ).
cnf(c_0_1949,negated_conjecture,
( ~ product(e_2,e_1,X1)
| ~ product(e_3,e_1,e_4)
| product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_1503]),
[final] ).
cnf(c_0_1950,negated_conjecture,
( ~ product(e_3,e_1,X1)
| ~ product(e_3,e_5,e_2)
| product(X1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_1032]),
[final] ).
cnf(c_0_1951,negated_conjecture,
( ~ product(e_3,e_1,X1)
| ~ product(e_3,e_1,e_4)
| product(X1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_879]),
[final] ).
cnf(c_0_1952,negated_conjecture,
( ~ product(e_3,e_5,e_2)
| ~ product(e_1,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_232,c_0_1032]),
[final] ).
cnf(c_0_1953,negated_conjecture,
( ~ product(e_3,e_1,e_4)
| ~ product(e_1,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_232,c_0_879]),
[final] ).
cnf(c_0_1954,negated_conjecture,
( ~ product(e_5,e_4,X1)
| ~ product(e_3,e_5,e_2)
| product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_134,c_0_972]),
[final] ).
cnf(c_0_1955,negated_conjecture,
( ~ product(e_3,e_1,e_4)
| ~ product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_142,c_0_842]),
[final] ).
cnf(c_0_1956,negated_conjecture,
( ~ product(e_3,e_1,e_4)
| ~ product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_429,c_0_842]),
[final] ).
cnf(c_0_1957,negated_conjecture,
( ~ product(e_3,e_1,e_4)
| ~ product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_149,c_0_842]),
[final] ).
cnf(c_0_1958,negated_conjecture,
( ~ product(e_4,e_1,X1)
| ~ product(e_2,e_5,e_1)
| product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_1256,c_0_1504]),
[final] ).
cnf(c_0_1959,negated_conjecture,
( ~ product(e_5,e_4,X1)
| ~ product(e_2,e_5,e_1)
| product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_134,c_0_1504]),
[final] ).
cnf(c_0_1960,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_3,e_4,e_5)
| product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_1505,c_0_976]),
[final] ).
cnf(c_0_1961,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_3,e_1,e_4)
| product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_1506,c_0_976]),
[final] ).
cnf(c_0_1962,negated_conjecture,
( ~ product(e_4,e_1,X1)
| ~ product(e_2,e_3,e_4)
| product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_1256,c_0_1507]),
[final] ).
cnf(c_0_1963,negated_conjecture,
( ~ product(e_5,e_4,X1)
| ~ product(e_2,e_3,e_4)
| product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_134,c_0_1507]),
[final] ).
cnf(c_0_1964,negated_conjecture,
( ~ product(e_2,e_5,X1)
| product(X1,e_1,e_5)
| product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_134,c_0_976]),
[final] ).
cnf(c_0_1965,negated_conjecture,
( ~ product(e_3,e_1,X1)
| ~ product(e_2,e_3,e_1)
| product(X1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_1033]),
[final] ).
cnf(c_0_1966,negated_conjecture,
( ~ product(e_4,e_2,e_1)
| ~ product(e_5,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_210,c_0_1508]),
[final] ).
cnf(c_0_1967,negated_conjecture,
( ~ product(e_4,e_2,e_1)
| ~ product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_205,c_0_1289]),
[final] ).
cnf(c_0_1968,negated_conjecture,
( ~ product(e_2,e_3,e_1)
| ~ product(e_1,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_232,c_0_1033]),
[final] ).
cnf(c_0_1969,negated_conjecture,
( ~ product(e_2,e_4,e_5)
| product(e_3,e_5,e_4)
| product(e_4,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1509,c_0_421]),
[final] ).
cnf(c_0_1970,negated_conjecture,
( ~ product(e_5,e_4,X1)
| product(X1,e_3,e_4)
| product(e_2,e_3,e_5)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_134,c_0_1510]),
[final] ).
cnf(c_0_1971,negated_conjecture,
( ~ product(e_5,e_4,X1)
| product(X1,e_3,e_4)
| product(e_2,e_4,e_1)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_134,c_0_1216]),
[final] ).
cnf(c_0_1972,negated_conjecture,
( ~ product(e_5,e_4,X1)
| product(X1,e_3,e_4)
| product(e_2,e_4,e_1)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_1214]),
[final] ).
cnf(c_0_1973,negated_conjecture,
( ~ product(e_4,e_1,X1)
| product(X1,e_3,e_1)
| product(e_3,e_5,e_1)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_1256,c_0_889]),
[final] ).
cnf(c_0_1974,negated_conjecture,
( ~ product(e_5,e_1,X1)
| product(X1,e_2,e_1)
| product(e_3,e_5,e_1)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_1257,c_0_889]),
[final] ).
cnf(c_0_1975,negated_conjecture,
( ~ product(e_5,e_4,X1)
| product(X1,e_3,e_4)
| product(e_3,e_5,e_1)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_889]),
[final] ).
cnf(c_0_1976,negated_conjecture,
( ~ product(e_5,e_4,X1)
| product(X1,e_3,e_4)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_1511]),
[final] ).
cnf(c_0_1977,negated_conjecture,
( ~ product(e_2,e_4,e_5)
| product(e_5,e_2,e_3)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_1512,c_0_421]),
[final] ).
cnf(c_0_1978,negated_conjecture,
( ~ product(e_4,e_2,e_3)
| product(e_3,e_1,e_4)
| product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_118,c_0_1038]),
[final] ).
cnf(c_0_1979,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_3,e_1,e_4)
| product(e_5,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_1506,c_0_887]),
[final] ).
cnf(c_0_1980,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_2,e_3,e_4)
| product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_930,c_0_893]),
[final] ).
cnf(c_0_1981,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_2,e_5,e_1)
| product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_930,c_0_1008]),
[final] ).
cnf(c_0_1982,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_5,e_3,e_2)
| product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_930,c_0_689]),
[final] ).
cnf(c_0_1983,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_5,e_3,e_2)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_930,c_0_1050]),
[final] ).
cnf(c_0_1984,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_2,e_3,e_5)
| product(e_5,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_1513,c_0_574]),
[final] ).
cnf(c_0_1985,negated_conjecture,
( product(e_5,e_2,e_3)
| product(e_3,e_1,e_4)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_1514,c_0_1131]),
[final] ).
cnf(c_0_1986,negated_conjecture,
( ~ product(e_2,e_4,e_5)
| product(e_3,e_1,e_4)
| product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_1515,c_0_421]),
[final] ).
cnf(c_0_1987,negated_conjecture,
( ~ product(e_2,e_4,e_5)
| product(e_3,e_1,e_4)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1516,c_0_421]),
[final] ).
cnf(c_0_1988,negated_conjecture,
( ~ product(e_2,e_4,e_5)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1517,c_0_421]),
[final] ).
cnf(c_0_1989,negated_conjecture,
( ~ product(e_5,e_2,e_1)
| product(e_4,e_5,e_2)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_232,c_0_1518]),
[final] ).
cnf(c_0_1990,negated_conjecture,
( ~ product(e_4,e_2,e_3)
| product(e_3,e_1,e_4)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_429,c_0_1099]),
[final] ).
cnf(c_0_1991,negated_conjecture,
( ~ product(e_4,e_2,e_3)
| product(e_3,e_1,e_4)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_429,c_0_1101]),
[final] ).
cnf(c_0_1992,negated_conjecture,
( ~ product(e_4,e_2,e_3)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_429,c_0_784]),
[final] ).
cnf(c_0_1993,negated_conjecture,
( ~ product(e_4,e_2,e_3)
| product(e_3,e_1,e_4)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_429,c_0_1104]),
[final] ).
cnf(c_0_1994,negated_conjecture,
( ~ product(e_4,e_2,e_3)
| product(e_3,e_1,e_4)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_429,c_0_1041]),
[final] ).
cnf(c_0_1995,negated_conjecture,
( ~ product(e_3,e_1,e_2)
| product(e_2,e_3,e_4)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_290,c_0_1224]),
[final] ).
cnf(c_0_1996,negated_conjecture,
( ~ product(e_3,e_1,e_2)
| product(e_2,e_3,e_4)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_290,c_0_1444]),
[final] ).
cnf(c_0_1997,negated_conjecture,
( ~ product(e_3,e_1,e_2)
| product(e_2,e_3,e_4)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_290,c_0_908]),
[final] ).
cnf(c_0_1998,negated_conjecture,
( product(e_5,e_2,e_3)
| product(e_3,e_1,e_4)
| product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_1514,c_0_1297]),
[final] ).
cnf(c_0_1999,negated_conjecture,
( ~ product(e_3,e_4,X1)
| ~ product(e_3,e_5,e_1)
| product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_134,c_0_1519]),
[final] ).
cnf(c_0_2000,negated_conjecture,
( ~ product(e_2,e_5,X1)
| ~ product(e_3,e_5,e_1)
| product(X1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_1520,c_0_1299]),
[final] ).
cnf(c_0_2001,negated_conjecture,
( ~ product(e_4,e_1,X1)
| ~ product(e_3,e_5,e_1)
| product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_1180,c_0_1299]),
[final] ).
cnf(c_0_2002,negated_conjecture,
( ~ product(e_3,e_5,X1)
| ~ product(e_3,e_5,e_1)
| product(X1,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_1093,c_0_1299]),
[final] ).
cnf(c_0_2003,negated_conjecture,
( ~ product(e_5,e_4,X1)
| ~ product(e_3,e_5,e_1)
| product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_134,c_0_1299]),
[final] ).
cnf(c_0_2004,negated_conjecture,
( ~ product(e_2,e_4,X1)
| ~ product(e_3,e_5,e_1)
| product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_134,c_0_1521]),
[final] ).
cnf(c_0_2005,negated_conjecture,
( ~ product(e_3,e_1,X1)
| ~ product(e_3,e_5,e_1)
| product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_701]),
[final] ).
cnf(c_0_2006,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_754,c_0_865]),
[final] ).
cnf(c_0_2007,negated_conjecture,
( ~ product(e_3,e_1,e_4)
| ~ product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1522,c_0_807]),
[final] ).
cnf(c_0_2008,negated_conjecture,
( ~ product(e_3,e_5,e_1)
| ~ product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_572,c_0_1523]),
[final] ).
cnf(c_0_2009,negated_conjecture,
( ~ product(e_3,e_5,e_1)
| ~ product(e_5,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_1524,c_0_1523]),
[final] ).
cnf(c_0_2010,negated_conjecture,
( ~ product(e_3,e_5,e_1)
| ~ product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_1525,c_0_1299]),
[final] ).
cnf(c_0_2011,negated_conjecture,
( ~ product(e_3,e_5,e_1)
| product(e_5,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1526,c_0_1299]),c_0_241]),
[final] ).
cnf(c_0_2012,negated_conjecture,
( ~ product(e_3,e_2,e_5)
| ~ product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1136,c_0_393]),
[final] ).
cnf(c_0_2013,negated_conjecture,
( ~ product(e_3,e_5,e_1)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_1136,c_0_801]),
[final] ).
cnf(c_0_2014,negated_conjecture,
( ~ product(e_3,e_5,e_1)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_1136,c_0_676]),
[final] ).
cnf(c_0_2015,negated_conjecture,
( ~ product(e_3,e_5,e_1)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_1136,c_0_533]),
[final] ).
cnf(c_0_2016,negated_conjecture,
( ~ product(e_3,e_5,e_1)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_1136,c_0_549]),
[final] ).
cnf(c_0_2017,negated_conjecture,
( ~ product(e_3,e_5,e_1)
| ~ product(e_5,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_57,c_0_701]),
[final] ).
cnf(c_0_2018,negated_conjecture,
( ~ product(e_3,e_5,e_1)
| ~ product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_99,c_0_701]),
[final] ).
cnf(c_0_2019,negated_conjecture,
( ~ product(e_3,e_5,e_1)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_1527,c_0_701]),
[final] ).
cnf(c_0_2020,negated_conjecture,
( ~ product(e_3,e_1,X1)
| product(X1,e_5,e_1)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_134,c_0_1528]),
[final] ).
cnf(c_0_2021,negated_conjecture,
( ~ product(e_5,e_4,X1)
| product(X1,e_1,e_4)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_134,c_0_659]),
[final] ).
cnf(c_0_2022,negated_conjecture,
( ~ product(e_4,e_5,X1)
| product(X1,e_3,e_5)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_134,c_0_1529]),
[final] ).
cnf(c_0_2023,negated_conjecture,
( ~ product(e_3,e_5,e_4)
| product(e_4,e_3,e_1)
| product(e_5,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_1530,c_0_1398]),
[final] ).
cnf(c_0_2024,negated_conjecture,
( ~ product(e_3,e_5,e_4)
| product(e_3,e_4,e_5)
| product(e_5,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_1531,c_0_1398]),
[final] ).
cnf(c_0_2025,negated_conjecture,
( ~ product(e_3,e_5,e_4)
| product(e_4,e_3,e_1)
| product(e_5,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_1169,c_0_1398]),
[final] ).
cnf(c_0_2026,negated_conjecture,
( ~ product(e_3,e_5,e_4)
| product(e_5,e_3,e_2)
| product(e_5,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_588,c_0_1398]),
[final] ).
cnf(c_0_2027,negated_conjecture,
( ~ product(e_3,e_5,e_4)
| product(e_4,e_2,e_1)
| product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_1532,c_0_1398]),
[final] ).
cnf(c_0_2028,negated_conjecture,
( ~ product(e_3,e_5,e_4)
| product(e_5,e_2,e_3)
| product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_1533,c_0_1398]),
[final] ).
cnf(c_0_2029,negated_conjecture,
( ~ product(e_3,e_5,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_374,c_0_1398]),
[final] ).
cnf(c_0_2030,negated_conjecture,
( ~ product(e_3,e_5,e_4)
| product(e_4,e_2,e_1)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_268,c_0_1398]),
[final] ).
cnf(c_0_2031,negated_conjecture,
( ~ product(e_3,e_5,e_4)
| product(e_3,e_4,e_5)
| product(e_5,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_1534,c_0_1398]),
[final] ).
cnf(c_0_2032,negated_conjecture,
( ~ product(e_1,e_3,X1)
| ~ product(e_3,e_5,e_1)
| product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_134,c_0_679]),
[final] ).
cnf(c_0_2033,negated_conjecture,
( ~ product(e_1,e_3,X1)
| ~ product(e_3,e_5,e_4)
| product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_134,c_0_1398]),
[final] ).
cnf(c_0_2034,negated_conjecture,
( ~ product(e_1,e_3,X1)
| product(X1,e_4,e_3)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_134,c_0_630]),
[final] ).
cnf(c_0_2035,negated_conjecture,
( ~ product(e_3,e_5,e_1)
| ~ product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_1535,c_0_679]),
[final] ).
cnf(c_0_2036,negated_conjecture,
( ~ product(e_1,e_2,e_5)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_232,c_0_1528]),
[final] ).
cnf(c_0_2037,negated_conjecture,
( ~ product(e_1,e_3,e_4)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_138,c_0_1528]),
[final] ).
cnf(c_0_2038,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_1,e_2,e_4) ),
inference(sr,[status(thm)],[c_0_1536,c_0_643]),
[final] ).
cnf(c_0_2039,negated_conjecture,
( ~ product(e_4,e_2,e_3)
| product(e_4,e_5,e_2)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_142,c_0_618]),
[final] ).
cnf(c_0_2040,negated_conjecture,
( ~ product(e_1,e_2,e_5)
| product(e_3,e_2,e_4) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1021,c_0_1202]),c_0_222]),c_0_1484]),
[final] ).
cnf(c_0_2041,negated_conjecture,
( ~ product(e_1,e_3,X1)
| product(X1,e_4,e_3)
| product(e_2,e_3,e_5)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_758,c_0_1537]),
[final] ).
cnf(c_0_2042,negated_conjecture,
( ~ product(e_1,e_3,X1)
| product(X1,e_4,e_3)
| product(e_2,e_4,e_1)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_758,c_0_1009]),
[final] ).
cnf(c_0_2043,negated_conjecture,
( ~ product(e_1,e_2,e_5)
| product(e_3,e_4,e_5) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1024,c_0_1202]),c_0_222]),c_0_1484]),
[final] ).
cnf(c_0_2044,negated_conjecture,
( ~ product(e_1,e_2,e_5)
| product(e_2,e_3,e_5) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1022,c_0_1202]),c_0_222]),c_0_1484]),
[final] ).
cnf(c_0_2045,negated_conjecture,
( ~ product(e_1,e_2,e_5)
| product(e_2,e_4,e_1) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_868,c_0_1202]),c_0_222]),c_0_1484]),
[final] ).
cnf(c_0_2046,negated_conjecture,
( ~ product(e_1,e_3,X1)
| product(X1,e_4,e_3)
| product(e_3,e_4,e_5)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_758,c_0_1058]),
[final] ).
cnf(c_0_2047,negated_conjecture,
( ~ product(e_3,e_4,X1)
| product(X1,e_1,e_4)
| product(e_3,e_5,e_4)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_134,c_0_1538]),
[final] ).
cnf(c_0_2048,negated_conjecture,
( ~ product(e_5,e_4,X1)
| product(X1,e_2,e_4)
| product(e_3,e_1,e_4)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_134,c_0_678]),
[final] ).
cnf(c_0_2049,negated_conjecture,
( ~ product(e_5,e_1,X1)
| product(X1,e_2,e_1)
| product(e_3,e_5,e_2)
| product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_1312]),
[final] ).
cnf(c_0_2050,negated_conjecture,
( ~ product(e_5,e_2,e_1)
| product(e_3,e_5,e_1)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_232,c_0_1539]),
[final] ).
cnf(c_0_2051,negated_conjecture,
( ~ product(e_3,e_1,X1)
| product(X1,e_4,e_1)
| product(e_4,e_2,e_1)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_1399,c_0_1540]),
[final] ).
cnf(c_0_2052,negated_conjecture,
( ~ product(e_2,e_1,X1)
| product(X1,e_5,e_1)
| product(e_4,e_2,e_1)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_1540]),
[final] ).
cnf(c_0_2053,negated_conjecture,
( ~ product(e_3,e_1,X1)
| product(X1,e_4,e_1)
| product(e_4,e_2,e_1)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_1399,c_0_1541]),
[final] ).
cnf(c_0_2054,negated_conjecture,
( ~ product(e_2,e_1,X1)
| product(X1,e_5,e_1)
| product(e_4,e_2,e_1)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_134,c_0_1541]),
[final] ).
cnf(c_0_2055,negated_conjecture,
( ~ product(e_5,e_1,X1)
| product(X1,e_2,e_1)
| product(e_3,e_2,e_4)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_902,c_0_1156]),
[final] ).
cnf(c_0_2056,negated_conjecture,
( ~ product(e_4,e_1,X1)
| product(X1,e_3,e_1)
| product(e_3,e_2,e_4)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_134,c_0_1156]),
[final] ).
cnf(c_0_2057,negated_conjecture,
( ~ product(e_5,e_2,e_1)
| product(e_3,e_5,e_1)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_232,c_0_1542]),
[final] ).
cnf(c_0_2058,negated_conjecture,
( ~ product(e_5,e_1,X1)
| product(X1,e_2,e_1)
| product(e_2,e_4,e_1)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_902,c_0_1158]),
[final] ).
cnf(c_0_2059,negated_conjecture,
( ~ product(e_4,e_1,X1)
| product(X1,e_3,e_1)
| product(e_2,e_4,e_1)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_134,c_0_1158]),
[final] ).
cnf(c_0_2060,negated_conjecture,
( ~ product(e_2,e_1,X1)
| product(X1,e_5,e_1)
| product(e_5,e_2,e_3)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_134,c_0_1543]),
[final] ).
cnf(c_0_2061,negated_conjecture,
( ~ product(e_2,e_1,X1)
| product(X1,e_5,e_1)
| product(e_5,e_2,e_3)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_1544]),
[final] ).
cnf(c_0_2062,negated_conjecture,
( ~ product(e_2,e_1,X1)
| product(X1,e_4,e_1)
| product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_1019]),
[final] ).
cnf(c_0_2063,negated_conjecture,
( ~ product(e_2,e_4,e_5)
| product(e_3,e_1,e_4)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_1545,c_0_421]),
[final] ).
cnf(c_0_2064,negated_conjecture,
( ~ product(e_3,e_1,e_2)
| product(e_3,e_5,e_4)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_290,c_0_1015]),
[final] ).
cnf(c_0_2065,negated_conjecture,
( ~ product(e_3,e_1,e_2)
| product(e_3,e_5,e_4)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_290,c_0_1117]),
[final] ).
cnf(c_0_2066,negated_conjecture,
( ~ product(e_3,e_1,e_2)
| product(e_3,e_5,e_4)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_290,c_0_700]),
[final] ).
cnf(c_0_2067,negated_conjecture,
( ~ product(e_1,e_3,X1)
| ~ product(e_2,e_3,e_1)
| product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_758,c_0_1546]),
[final] ).
cnf(c_0_2068,negated_conjecture,
( ~ product(e_5,e_4,e_3)
| product(e_4,e_3,e_1)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_1547,c_0_570]),
[final] ).
cnf(c_0_2069,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_3,e_4,e_5)
| product(e_1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_1548,c_0_172]),
[final] ).
cnf(c_0_2070,negated_conjecture,
( ~ product(e_5,e_4,e_4)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_130,c_0_1148]),
[final] ).
cnf(c_0_2071,negated_conjecture,
( ~ product(e_5,e_1,e_3)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_214,c_0_1148]),
[final] ).
cnf(c_0_2072,negated_conjecture,
( ~ product(e_5,e_1,e_2)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_290,c_0_1148]),
[final] ).
cnf(c_0_2073,negated_conjecture,
( ~ product(e_3,e_1,X1)
| product(X1,e_4,e_1)
| product(e_2,e_3,e_4)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_1399,c_0_1549]),
[final] ).
cnf(c_0_2074,negated_conjecture,
( ~ product(e_2,e_1,X1)
| product(X1,e_5,e_1)
| product(e_2,e_3,e_4)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_134,c_0_1549]),
[final] ).
cnf(c_0_2075,negated_conjecture,
( ~ product(e_1,e_4,e_3)
| product(e_5,e_3,e_2)
| product(e_2,e_5,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1550,c_0_329]),c_0_241]),
[final] ).
cnf(c_0_2076,negated_conjecture,
( ~ product(e_1,e_4,e_3)
| product(e_5,e_3,e_2)
| product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1551,c_0_329]),c_0_241]),
[final] ).
cnf(c_0_2077,negated_conjecture,
( ~ product(e_3,e_1,X1)
| product(X1,e_4,e_1)
| product(e_3,e_5,e_4)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_1399,c_0_1552]),
[final] ).
cnf(c_0_2078,negated_conjecture,
( ~ product(e_2,e_1,X1)
| product(X1,e_5,e_1)
| product(e_3,e_5,e_4)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_1552]),
[final] ).
cnf(c_0_2079,negated_conjecture,
( ~ product(e_3,e_1,X1)
| product(X1,e_4,e_1)
| product(e_3,e_5,e_4)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_1399,c_0_1553]),
[final] ).
cnf(c_0_2080,negated_conjecture,
( ~ product(e_2,e_1,X1)
| product(X1,e_5,e_1)
| product(e_3,e_5,e_4)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_134,c_0_1553]),
[final] ).
cnf(c_0_2081,negated_conjecture,
( ~ product(e_1,e_2,e_4)
| product(e_4,e_2,e_1)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_138,c_0_1540]),
[final] ).
cnf(c_0_2082,negated_conjecture,
( ~ product(e_1,e_2,e_4)
| product(e_4,e_2,e_1)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_138,c_0_1541]),
[final] ).
cnf(c_0_2083,negated_conjecture,
( ~ product(e_1,e_4,e_3)
| product(e_4,e_2,e_1)
| product(e_5,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1554,c_0_329]),c_0_241]),
[final] ).
cnf(c_0_2084,negated_conjecture,
( ~ product(e_5,e_1,X1)
| product(X1,e_2,e_1)
| product(e_2,e_3,e_1)
| product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_1341]),
[final] ).
cnf(c_0_2085,negated_conjecture,
( ~ product(e_1,e_4,e_3)
| product(e_2,e_5,e_1)
| product(e_4,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1555,c_0_329]),c_0_241]),
[final] ).
cnf(c_0_2086,negated_conjecture,
( ~ product(e_4,e_1,X1)
| product(X1,e_2,e_1)
| product(e_5,e_2,e_3)
| product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_134,c_0_1556]),
[final] ).
cnf(c_0_2087,negated_conjecture,
( ~ product(e_1,e_4,e_3)
| product(e_5,e_2,e_3)
| product(e_5,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1557,c_0_329]),c_0_241]),
[final] ).
cnf(c_0_2088,negated_conjecture,
( ~ product(e_4,e_1,X1)
| product(X1,e_3,e_1)
| product(e_2,e_4,e_1)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_848]),
[final] ).
cnf(c_0_2089,negated_conjecture,
( ~ product(e_1,e_4,e_3)
| product(e_4,e_3,e_1)
| product(e_5,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1558,c_0_329]),c_0_241]),
[final] ).
cnf(c_0_2090,negated_conjecture,
( ~ product(e_1,e_4,e_3)
| product(e_3,e_4,e_5)
| product(e_5,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1559,c_0_329]),c_0_241]),
[final] ).
cnf(c_0_2091,negated_conjecture,
( ~ product(e_1,e_5,X1)
| product(X1,e_2,e_5)
| product(e_2,e_3,e_5)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_134,c_0_1560]),
[final] ).
cnf(c_0_2092,negated_conjecture,
( ~ product(e_2,e_1,X1)
| product(X1,e_4,e_1)
| product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_134,c_0_823]),
[final] ).
cnf(c_0_2093,negated_conjecture,
( ~ product(e_1,e_4,e_3)
| product(e_2,e_5,e_1)
| product(e_2,e_3,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1561,c_0_329]),c_0_241]),
[final] ).
cnf(c_0_2094,negated_conjecture,
( ~ product(e_5,e_2,e_1)
| product(e_3,e_2,e_4)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_232,c_0_1562]),
[final] ).
cnf(c_0_2095,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_3,e_2,e_4)
| product(e_5,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_1563,c_0_574]),
[final] ).
cnf(c_0_2096,negated_conjecture,
( ~ product(e_4,e_1,X1)
| product(X1,e_3,e_1)
| product(e_2,e_3,e_5)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_134,c_0_1564]),
[final] ).
cnf(c_0_2097,negated_conjecture,
( ~ product(e_5,e_2,e_1)
| product(e_2,e_4,e_1)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_232,c_0_1565]),
[final] ).
cnf(c_0_2098,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_2,e_4,e_1)
| product(e_5,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_1566,c_0_574]),
[final] ).
cnf(c_0_2099,negated_conjecture,
( ~ product(e_4,e_1,X1)
| product(X1,e_3,e_1)
| product(e_4,e_5,e_2)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_1256,c_0_1168]),
[final] ).
cnf(c_0_2100,negated_conjecture,
( ~ product(e_4,e_1,X1)
| product(X1,e_3,e_1)
| product(e_4,e_5,e_2)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_1256,c_0_715]),
[final] ).
cnf(c_0_2101,negated_conjecture,
( ~ product(e_1,e_4,e_3)
| product(e_2,e_5,e_1)
| product(e_3,e_4,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1567,c_0_329]),c_0_241]),
[final] ).
cnf(c_0_2102,negated_conjecture,
( ~ product(e_2,e_1,X1)
| product(X1,e_5,e_1)
| product(e_3,e_5,e_2)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_1568]),
[final] ).
cnf(c_0_2103,negated_conjecture,
( ~ product(e_5,e_1,X1)
| product(X1,e_3,e_1)
| product(e_2,e_3,e_1)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_1569]),
[final] ).
cnf(c_0_2104,negated_conjecture,
( ~ product(e_5,e_1,X1)
| product(X1,e_2,e_1)
| product(e_4,e_5,e_2)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_1257,c_0_1168]),
[final] ).
cnf(c_0_2105,negated_conjecture,
( ~ product(e_5,e_4,X1)
| product(X1,e_3,e_4)
| product(e_4,e_5,e_2)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_134,c_0_1168]),
[final] ).
cnf(c_0_2106,negated_conjecture,
( ~ product(e_2,e_1,X1)
| product(X1,e_5,e_1)
| product(e_2,e_3,e_1)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_1570]),
[final] ).
cnf(c_0_2107,negated_conjecture,
( ~ product(e_1,e_5,X1)
| product(X1,e_2,e_5)
| product(e_3,e_5,e_4)
| product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_134,c_0_1571]),
[final] ).
cnf(c_0_2108,negated_conjecture,
( ~ product(e_1,e_4,e_3)
| product(e_2,e_3,e_4)
| product(e_3,e_4,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1572,c_0_329]),c_0_241]),
[final] ).
cnf(c_0_2109,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_4,e_2,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1198,c_0_1573]),c_0_927]),
[final] ).
cnf(c_0_2110,negated_conjecture,
( ~ product(e_3,e_5,X1)
| product(X1,e_1,e_5)
| product(e_5,e_3,e_2)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_134,c_0_911]),
[final] ).
cnf(c_0_2111,negated_conjecture,
( ~ product(e_3,e_5,X1)
| product(X1,e_1,e_5)
| product(e_3,e_5,e_2)
| product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_1263,c_0_1574]),
[final] ).
cnf(c_0_2112,negated_conjecture,
( ~ product(e_4,e_5,X1)
| product(X1,e_2,e_5)
| product(e_3,e_5,e_2)
| product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_1264,c_0_1574]),
[final] ).
cnf(c_0_2113,negated_conjecture,
( ~ product(e_2,e_5,X1)
| product(X1,e_3,e_5)
| product(e_3,e_5,e_2)
| product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_134,c_0_1574]),
[final] ).
cnf(c_0_2114,negated_conjecture,
( ~ product(e_4,e_5,X1)
| product(X1,e_2,e_5)
| product(e_3,e_5,e_2)
| product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_134,c_0_597]),
[final] ).
cnf(c_0_2115,negated_conjecture,
( ~ product(e_5,e_4,X1)
| product(X1,e_3,e_4)
| product(e_3,e_4,e_5)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_134,c_0_1575]),
[final] ).
cnf(c_0_2116,negated_conjecture,
( ~ product(e_1,e_4,e_3)
| product(e_4,e_3,e_1)
| product(e_5,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1576,c_0_329]),c_0_241]),
[final] ).
cnf(c_0_2117,negated_conjecture,
( ~ product(e_1,e_4,e_3)
| product(e_5,e_3,e_2)
| product(e_5,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1577,c_0_329]),c_0_241]),
[final] ).
cnf(c_0_2118,negated_conjecture,
( ~ product(e_4,e_5,X1)
| product(X1,e_2,e_5)
| product(e_2,e_3,e_1)
| product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_134,c_0_1578]),
[final] ).
cnf(c_0_2119,negated_conjecture,
( ~ product(e_4,e_5,X1)
| product(X1,e_2,e_5)
| product(e_4,e_5,e_2)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_1489,c_0_715]),
[final] ).
cnf(c_0_2120,negated_conjecture,
( ~ product(e_3,e_5,X1)
| product(X1,e_1,e_5)
| product(e_3,e_5,e_1)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_1263,c_0_657]),
[final] ).
cnf(c_0_2121,negated_conjecture,
( ~ product(e_3,e_5,X1)
| product(X1,e_1,e_5)
| product(e_3,e_5,e_2)
| product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_1263,c_0_838]),
[final] ).
cnf(c_0_2122,negated_conjecture,
( ~ product(e_3,e_5,X1)
| product(X1,e_1,e_5)
| product(e_2,e_3,e_1)
| product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_1263,c_0_829]),
[final] ).
cnf(c_0_2123,negated_conjecture,
( ~ product(e_3,e_5,X1)
| product(X1,e_1,e_5)
| product(e_3,e_2,e_4)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_1263,c_0_960]),
[final] ).
cnf(c_0_2124,negated_conjecture,
( ~ product(e_3,e_5,X1)
| product(X1,e_1,e_5)
| product(e_2,e_4,e_1)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_1263,c_0_912]),
[final] ).
cnf(c_0_2125,negated_conjecture,
( ~ product(e_3,e_5,X1)
| product(X1,e_1,e_5)
| product(e_3,e_5,e_1)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_1263,c_0_814]),
[final] ).
cnf(c_0_2126,negated_conjecture,
( ~ product(e_4,e_5,X1)
| product(X1,e_2,e_5)
| product(e_3,e_5,e_1)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_1264,c_0_657]),
[final] ).
cnf(c_0_2127,negated_conjecture,
( ~ product(e_4,e_5,X1)
| product(X1,e_2,e_5)
| product(e_3,e_5,e_2)
| product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_1264,c_0_838]),
[final] ).
cnf(c_0_2128,negated_conjecture,
( ~ product(e_4,e_5,X1)
| product(X1,e_2,e_5)
| product(e_2,e_3,e_1)
| product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_1264,c_0_829]),
[final] ).
cnf(c_0_2129,negated_conjecture,
( ~ product(e_4,e_5,X1)
| product(X1,e_2,e_5)
| product(e_3,e_2,e_4)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_1264,c_0_960]),
[final] ).
cnf(c_0_2130,negated_conjecture,
( ~ product(e_4,e_5,X1)
| product(X1,e_2,e_5)
| product(e_2,e_3,e_5)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_1264,c_0_1133]),
[final] ).
cnf(c_0_2131,negated_conjecture,
( ~ product(e_4,e_5,X1)
| product(X1,e_2,e_5)
| product(e_2,e_4,e_1)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_1264,c_0_912]),
[final] ).
cnf(c_0_2132,negated_conjecture,
( ~ product(e_4,e_5,X1)
| product(X1,e_2,e_5)
| product(e_3,e_5,e_1)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_1264,c_0_814]),
[final] ).
cnf(c_0_2133,negated_conjecture,
( ~ product(e_4,e_5,X1)
| product(X1,e_2,e_5)
| product(e_2,e_3,e_1)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_134,c_0_1579]),
[final] ).
cnf(c_0_2134,negated_conjecture,
( ~ product(e_2,e_1,X1)
| product(X1,e_5,e_1)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_1580]),
[final] ).
cnf(c_0_2135,negated_conjecture,
( ~ product(e_5,e_1,X1)
| product(X1,e_2,e_1)
| product(e_3,e_4,e_5)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_902,c_0_1581]),
[final] ).
cnf(c_0_2136,negated_conjecture,
( ~ product(e_4,e_1,X1)
| product(X1,e_3,e_1)
| product(e_3,e_4,e_5)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_134,c_0_1581]),
[final] ).
cnf(c_0_2137,negated_conjecture,
( ~ product(e_3,e_5,X1)
| product(X1,e_1,e_5)
| product(e_3,e_4,e_5)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_134,c_0_1338]),
[final] ).
cnf(c_0_2138,negated_conjecture,
( ~ product(e_4,e_5,X1)
| product(X1,e_2,e_5)
| product(e_2,e_3,e_5)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_1582,c_0_1583]),
[final] ).
cnf(c_0_2139,negated_conjecture,
( ~ product(e_4,e_5,X1)
| product(X1,e_2,e_5)
| product(e_2,e_4,e_1)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_1582,c_0_811]),
[final] ).
cnf(c_0_2140,negated_conjecture,
( ~ product(e_4,e_5,X1)
| product(X1,e_2,e_5)
| product(e_3,e_5,e_2)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_134,c_0_874]),
[final] ).
cnf(c_0_2141,negated_conjecture,
( ~ product(e_4,e_5,X1)
| product(X1,e_2,e_5)
| product(e_2,e_3,e_1)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_134,c_0_1584]),
[final] ).
cnf(c_0_2142,negated_conjecture,
( ~ product(e_1,e_4,e_3)
| product(e_3,e_4,e_5)
| product(e_5,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1585,c_0_329]),c_0_241]),
[final] ).
cnf(c_0_2143,negated_conjecture,
( ~ product(e_5,e_4,X1)
| product(X1,e_2,e_4)
| product(e_3,e_5,e_2)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1586,c_0_983]),
[final] ).
cnf(c_0_2144,negated_conjecture,
( ~ product(e_2,e_5,X1)
| product(X1,e_3,e_5)
| product(e_3,e_5,e_2)
| product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_838]),
[final] ).
cnf(c_0_2145,negated_conjecture,
( ~ product(e_5,e_4,X1)
| product(X1,e_2,e_4)
| product(e_2,e_5,e_1)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_1586,c_0_1587]),
[final] ).
cnf(c_0_2146,negated_conjecture,
( ~ product(e_3,e_4,X1)
| product(X1,e_1,e_4)
| product(e_2,e_5,e_1)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_134,c_0_1587]),
[final] ).
cnf(c_0_2147,negated_conjecture,
( ~ product(e_1,e_4,e_3)
| product(e_4,e_3,e_1)
| product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1588,c_0_329]),c_0_241]),
[final] ).
cnf(c_0_2148,negated_conjecture,
( ~ product(e_1,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_138,c_0_1549]),
[final] ).
cnf(c_0_2149,negated_conjecture,
( ~ product(e_3,e_5,X1)
| product(X1,e_1,e_5)
| product(e_2,e_3,e_1)
| product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_134,c_0_910]),
[final] ).
cnf(c_0_2150,negated_conjecture,
( ~ product(e_3,e_1,e_2)
| product(e_2,e_5,e_1)
| product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_83,c_0_1314]),
[final] ).
cnf(c_0_2151,negated_conjecture,
( ~ product(e_5,e_4,e_2)
| product(e_2,e_5,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_1314]),c_0_205]),
[final] ).
cnf(c_0_2152,negated_conjecture,
( ~ product(e_3,e_1,e_2)
| product(e_2,e_3,e_4)
| product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_83,c_0_1315]),
[final] ).
cnf(c_0_2153,negated_conjecture,
( ~ product(e_3,e_5,X1)
| product(X1,e_4,e_5)
| product(e_2,e_5,e_1)
| product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_134,c_0_1008]),
[final] ).
cnf(c_0_2154,negated_conjecture,
( ~ product(e_3,e_5,X1)
| product(X1,e_4,e_5)
| product(e_2,e_3,e_4)
| product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_134,c_0_893]),
[final] ).
cnf(c_0_2155,negated_conjecture,
( ~ product(e_3,e_5,X1)
| product(X1,e_4,e_5)
| product(e_5,e_2,e_3)
| product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_134,c_0_931]),
[final] ).
cnf(c_0_2156,negated_conjecture,
( ~ product(e_1,e_2,e_4)
| product(e_3,e_5,e_4)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_138,c_0_1552]),
[final] ).
cnf(c_0_2157,negated_conjecture,
( ~ product(e_1,e_2,e_4)
| product(e_3,e_5,e_4)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_138,c_0_1553]),
[final] ).
cnf(c_0_2158,negated_conjecture,
( ~ product(e_5,e_1,X1)
| product(X1,e_2,e_1)
| product(e_2,e_3,e_1)
| product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_902,c_0_827]),
[final] ).
cnf(c_0_2159,negated_conjecture,
( ~ product(e_4,e_1,X1)
| product(X1,e_3,e_1)
| product(e_2,e_3,e_1)
| product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_134,c_0_827]),
[final] ).
cnf(c_0_2160,negated_conjecture,
( ~ product(e_5,e_4,e_2)
| product(e_4,e_2,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_1302]),c_0_205]),
[final] ).
cnf(c_0_2161,negated_conjecture,
( ~ product(e_3,e_5,X1)
| product(X1,e_4,e_5)
| product(e_5,e_3,e_2)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_134,c_0_1050]),
[final] ).
cnf(c_0_2162,negated_conjecture,
( ~ product(e_3,e_5,X1)
| product(X1,e_4,e_5)
| product(e_5,e_3,e_2)
| product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_689]),
[final] ).
cnf(c_0_2163,negated_conjecture,
( ~ product(e_3,e_5,X1)
| product(X1,e_1,e_5)
| product(e_5,e_3,e_2)
| product(e_5,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_134,c_0_816]),
[final] ).
cnf(c_0_2164,negated_conjecture,
( ~ product(e_3,e_4,X1)
| product(X1,e_1,e_4)
| product(e_2,e_3,e_1)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_990,c_0_1161]),
[final] ).
cnf(c_0_2165,negated_conjecture,
( ~ product(e_5,e_4,e_3)
| product(e_4,e_3,e_1)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_1589,c_0_570]),
[final] ).
cnf(c_0_2166,negated_conjecture,
( ~ product(e_5,e_4,e_4)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_130,c_0_1167]),
[final] ).
cnf(c_0_2167,negated_conjecture,
( ~ product(e_5,e_1,e_3)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_214,c_0_1167]),
[final] ).
cnf(c_0_2168,negated_conjecture,
( ~ product(e_5,e_1,e_2)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_290,c_0_1167]),
[final] ).
cnf(c_0_2169,negated_conjecture,
( ~ product(e_5,e_4,X1)
| product(X1,e_2,e_4)
| product(e_3,e_5,e_2)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_1586,c_0_1590]),
[final] ).
cnf(c_0_2170,negated_conjecture,
( ~ product(e_3,e_4,X1)
| product(X1,e_1,e_4)
| product(e_3,e_5,e_2)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_134,c_0_1590]),
[final] ).
cnf(c_0_2171,negated_conjecture,
( ~ product(e_4,e_1,X1)
| product(X1,e_3,e_1)
| product(e_2,e_3,e_5)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_1591]),
[final] ).
cnf(c_0_2172,negated_conjecture,
( ~ product(e_4,e_1,X1)
| product(X1,e_3,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_1592]),
[final] ).
cnf(c_0_2173,negated_conjecture,
( ~ product(e_3,e_5,X1)
| product(X1,e_1,e_5)
| product(e_3,e_5,e_2)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_134,c_0_854]),
[final] ).
cnf(c_0_2174,negated_conjecture,
( ~ product(e_3,e_5,X1)
| product(X1,e_1,e_5)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_933]),
[final] ).
cnf(c_0_2175,negated_conjecture,
( ~ product(e_1,e_5,X1)
| product(X1,e_2,e_5)
| product(e_3,e_5,e_4)
| product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_859]),
[final] ).
cnf(c_0_2176,negated_conjecture,
( ~ product(e_1,e_5,X1)
| product(X1,e_2,e_5)
| product(e_3,e_5,e_4)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_134,c_0_1593]),
[final] ).
cnf(c_0_2177,negated_conjecture,
( ~ product(e_3,e_5,X1)
| product(X1,e_1,e_5)
| product(e_2,e_3,e_5)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_1594,c_0_1583]),
[final] ).
cnf(c_0_2178,negated_conjecture,
( ~ product(e_3,e_5,X1)
| product(X1,e_1,e_5)
| product(e_2,e_4,e_1)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_1594,c_0_811]),
[final] ).
cnf(c_0_2179,negated_conjecture,
( ~ product(e_5,e_2,e_1)
| product(e_2,e_4,e_1)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_232,c_0_929]),
[final] ).
cnf(c_0_2180,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_4,e_1)
| product(e_5,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_1595,c_0_574]),
[final] ).
cnf(c_0_2181,negated_conjecture,
( ~ product(e_5,e_1,X1)
| product(X1,e_2,e_1)
| product(e_5,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_902,c_0_968]),
[final] ).
cnf(c_0_2182,negated_conjecture,
( ~ product(e_4,e_1,X1)
| product(X1,e_3,e_1)
| product(e_5,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_968]),
[final] ).
cnf(c_0_2183,negated_conjecture,
( ~ product(e_1,e_4,e_2)
| product(e_5,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_186,c_0_968]),
[final] ).
cnf(c_0_2184,negated_conjecture,
( ~ product(e_3,e_1,e_2)
| product(e_2,e_3,e_5)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_83,c_0_1560]),
[final] ).
cnf(c_0_2185,negated_conjecture,
( ~ product(e_3,e_5,X1)
| product(X1,e_4,e_5)
| product(e_2,e_3,e_5)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_134,c_0_1154]),
[final] ).
cnf(c_0_2186,negated_conjecture,
( ~ product(e_5,e_4,X1)
| product(X1,e_2,e_4)
| product(e_2,e_3,e_1)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1596,c_0_1161]),
[final] ).
cnf(c_0_2187,negated_conjecture,
( ~ product(e_5,e_4,X1)
| product(X1,e_2,e_4)
| product(e_3,e_5,e_2)
| product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_1586,c_0_686]),
[final] ).
cnf(c_0_2188,negated_conjecture,
( ~ product(e_5,e_4,X1)
| product(X1,e_2,e_4)
| product(e_2,e_3,e_1)
| product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_1586,c_0_388]),
[final] ).
cnf(c_0_2189,negated_conjecture,
( ~ product(e_5,e_4,X1)
| product(X1,e_2,e_4)
| product(e_2,e_3,e_1)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_134,c_0_1597]),
[final] ).
cnf(c_0_2190,negated_conjecture,
( ~ product(e_5,e_3,X1)
| product(X1,e_1,e_3)
| product(e_3,e_5,e_2)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_134,c_0_1179]),
[final] ).
cnf(c_0_2191,negated_conjecture,
( ~ product(e_4,e_1,X1)
| product(X1,e_3,e_1)
| product(e_3,e_4,e_5)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_1598]),
[final] ).
cnf(c_0_2192,negated_conjecture,
( ~ product(e_5,e_4,X1)
| product(X1,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_738]),
[final] ).
cnf(c_0_2193,negated_conjecture,
( ~ product(e_3,e_5,X1)
| product(X1,e_4,e_5)
| product(e_2,e_3,e_5)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_1054]),
[final] ).
cnf(c_0_2194,negated_conjecture,
( ~ product(e_5,e_3,X1)
| product(X1,e_4,e_3)
| product(e_3,e_4,e_5)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_134,c_0_1599]),
[final] ).
cnf(c_0_2195,negated_conjecture,
( ~ product(e_3,e_5,X1)
| product(X1,e_1,e_5)
| product(e_4,e_5,e_2)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_519,c_0_715]),
[final] ).
cnf(c_0_2196,negated_conjecture,
( ~ product(e_4,e_1,X1)
| product(X1,e_3,e_1)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_1256,c_0_520]),
[final] ).
cnf(c_0_2197,negated_conjecture,
( ~ product(e_5,e_3,X1)
| product(X1,e_2,e_3)
| product(e_2,e_3,e_4)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_828]),
[final] ).
cnf(c_0_2198,negated_conjecture,
( ~ product(e_5,e_3,X1)
| product(X1,e_2,e_3)
| product(e_2,e_3,e_4)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_134,c_0_961]),
[final] ).
cnf(c_0_2199,negated_conjecture,
( ~ product(e_2,e_5,X1)
| product(X1,e_3,e_5)
| product(e_3,e_4,e_5)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_134,c_0_836]),
[final] ).
cnf(c_0_2200,negated_conjecture,
( ~ product(e_2,e_5,X1)
| product(X1,e_3,e_5)
| product(e_2,e_4,e_1)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_134,c_0_912]),
[final] ).
cnf(c_0_2201,negated_conjecture,
( ~ product(e_2,e_5,X1)
| product(X1,e_3,e_5)
| product(e_2,e_3,e_5)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_134,c_0_1133]),
[final] ).
cnf(c_0_2202,negated_conjecture,
( ~ product(e_2,e_5,X1)
| product(X1,e_3,e_5)
| product(e_3,e_2,e_4)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_134,c_0_960]),
[final] ).
cnf(c_0_2203,negated_conjecture,
( ~ product(e_2,e_5,X1)
| product(X1,e_3,e_5)
| product(e_3,e_5,e_1)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_134,c_0_657]),
[final] ).
cnf(c_0_2204,negated_conjecture,
( ~ product(e_3,e_5,X1)
| product(X1,e_1,e_5)
| product(e_3,e_4,e_5)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_947]),
[final] ).
cnf(c_0_2205,negated_conjecture,
( ~ product(e_5,e_1,X1)
| product(X1,e_2,e_1)
| product(e_4,e_5,e_2)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_1257,c_0_715]),
[final] ).
cnf(c_0_2206,negated_conjecture,
( ~ product(e_5,e_4,X1)
| product(X1,e_3,e_4)
| product(e_4,e_5,e_2)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_715]),
[final] ).
cnf(c_0_2207,negated_conjecture,
( ~ product(e_5,e_3,X1)
| product(X1,e_2,e_3)
| product(e_2,e_3,e_5)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_1537]),
[final] ).
cnf(c_0_2208,negated_conjecture,
( ~ product(e_4,e_1,X1)
| product(X1,e_2,e_1)
| product(e_2,e_5,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1600,c_0_759]),c_0_1601]),
[final] ).
cnf(c_0_2209,negated_conjecture,
( ~ product(e_5,e_3,X1)
| product(X1,e_1,e_3)
| product(e_3,e_5,e_2)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_1326]),
[final] ).
cnf(c_0_2210,negated_conjecture,
( ~ product(e_5,e_1,X1)
| product(X1,e_2,e_1)
| product(e_2,e_4,e_1)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_1602,c_0_811]),
[final] ).
cnf(c_0_2211,negated_conjecture,
( ~ product(e_5,e_2,X1)
| product(X1,e_1,e_2)
| product(e_2,e_4,e_1)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_811]),
[final] ).
cnf(c_0_2212,negated_conjecture,
( ~ product(e_5,e_2,X1)
| product(X1,e_1,e_2)
| product(e_2,e_3,e_5)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_1583]),
[final] ).
cnf(c_0_2213,negated_conjecture,
( ~ product(e_1,e_4,e_3)
| product(e_2,e_3,e_1)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_250,c_0_1569]),
[final] ).
cnf(c_0_2214,negated_conjecture,
( ~ product(e_1,e_5,e_2)
| product(e_2,e_3,e_1)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_186,c_0_1569]),
[final] ).
cnf(c_0_2215,negated_conjecture,
( ~ product(e_5,e_2,e_1)
| product(e_4,e_5,e_2)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_232,c_0_1603]),
[final] ).
cnf(c_0_2216,negated_conjecture,
( ~ product(e_2,e_3,X1)
| product(X1,e_4,e_3)
| product(e_2,e_3,e_1)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_1161]),
[final] ).
cnf(c_0_2217,negated_conjecture,
( ~ product(e_5,e_3,X1)
| product(X1,e_1,e_3)
| product(e_2,e_3,e_1)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_1330]),
[final] ).
cnf(c_0_2218,negated_conjecture,
( ~ product(e_3,e_5,X1)
| product(X1,e_4,e_5)
| product(e_2,e_3,e_5)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_134,c_0_1604]),
[final] ).
cnf(c_0_2219,negated_conjecture,
( ~ product(e_5,e_1,X1)
| product(X1,e_2,e_1)
| product(e_3,e_5,e_2)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_134,c_0_729]),
[final] ).
cnf(c_0_2220,negated_conjecture,
( ~ product(e_2,e_4,X1)
| product(X1,e_1,e_4)
| product(e_3,e_5,e_1)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_134,c_0_1605]),
[final] ).
cnf(c_0_2221,negated_conjecture,
( ~ product(e_5,e_4,X1)
| product(X1,e_3,e_4)
| product(e_2,e_3,e_1)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_134,c_0_907]),
[final] ).
cnf(c_0_2222,negated_conjecture,
( ~ product(e_2,e_5,X1)
| product(X1,e_3,e_5)
| product(e_3,e_4,e_5)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_1606]),
[final] ).
cnf(c_0_2223,negated_conjecture,
( ~ product(e_2,e_5,X1)
| product(X1,e_3,e_5)
| product(e_2,e_4,e_1)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_1013]),
[final] ).
cnf(c_0_2224,negated_conjecture,
( ~ product(e_2,e_5,X1)
| product(X1,e_3,e_5)
| product(e_2,e_3,e_5)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_1125]),
[final] ).
cnf(c_0_2225,negated_conjecture,
( ~ product(e_2,e_5,X1)
| product(X1,e_3,e_5)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_559]),
[final] ).
cnf(c_0_2226,negated_conjecture,
( ~ product(e_2,e_5,X1)
| product(X1,e_3,e_5)
| product(e_3,e_5,e_1)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_814]),
[final] ).
cnf(c_0_2227,negated_conjecture,
( ~ product(e_5,e_3,X1)
| product(X1,e_1,e_3)
| product(e_3,e_5,e_2)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_134,c_0_896]),
[final] ).
cnf(c_0_2228,negated_conjecture,
( ~ product(e_3,e_1,e_2)
| product(e_3,e_5,e_4)
| product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_83,c_0_1571]),
[final] ).
cnf(c_0_2229,negated_conjecture,
( ~ product(e_3,e_1,e_2)
| product(e_3,e_4,e_5)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_83,c_0_1331]),
[final] ).
cnf(c_0_2230,negated_conjecture,
( ~ product(e_5,e_3,X1)
| product(X1,e_2,e_3)
| product(e_2,e_3,e_4)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_134,c_0_963]),
[final] ).
cnf(c_0_2231,negated_conjecture,
( ~ product(e_2,e_4,X1)
| product(X1,e_1,e_4)
| product(e_3,e_5,e_2)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_770]),
[final] ).
cnf(c_0_2232,negated_conjecture,
( ~ product(e_2,e_4,X1)
| product(X1,e_1,e_4)
| product(e_3,e_5,e_2)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_134,c_0_871]),
[final] ).
cnf(c_0_2233,negated_conjecture,
( ~ product(e_3,e_1,X1)
| product(X1,e_4,e_1)
| product(e_5,e_2,e_3)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_134,c_0_626]),
[final] ).
cnf(c_0_2234,negated_conjecture,
( ~ product(e_3,e_1,X1)
| product(X1,e_4,e_1)
| product(e_3,e_5,e_2)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_501]),
[final] ).
cnf(c_0_2235,negated_conjecture,
( ~ product(e_3,e_1,X1)
| product(X1,e_4,e_1)
| product(e_2,e_3,e_1)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_753]),
[final] ).
cnf(c_0_2236,negated_conjecture,
( ~ product(e_5,e_3,X1)
| product(X1,e_2,e_3)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_134,c_0_962]),
[final] ).
cnf(c_0_2237,negated_conjecture,
( ~ product(e_3,e_1,X1)
| product(X1,e_4,e_1)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_1607,c_0_719]),
[final] ).
cnf(c_0_2238,negated_conjecture,
( ~ product(e_5,e_2,e_1)
| product(e_4,e_3,e_1)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_232,c_0_1608]),
[final] ).
cnf(c_0_2239,negated_conjecture,
( ~ product(e_5,e_2,e_1)
| product(e_4,e_3,e_1)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_232,c_0_1609]),
[final] ).
cnf(c_0_2240,negated_conjecture,
( ~ product(e_4,e_2,e_3)
| product(e_3,e_5,e_2)
| product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_118,c_0_1574]),
[final] ).
cnf(c_0_2241,negated_conjecture,
( ~ product(e_3,e_1,X1)
| product(X1,e_4,e_1)
| product(e_5,e_2,e_3)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_539]),
[final] ).
cnf(c_0_2242,negated_conjecture,
( ~ product(e_5,e_2,e_1)
| product(e_4,e_5,e_2)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_232,c_0_1610]),
[final] ).
cnf(c_0_2243,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_3,e_5,e_4)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_1239,c_0_1152]),
[final] ).
cnf(c_0_2244,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_5,e_2,e_3)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_1239,c_0_796]),
[final] ).
cnf(c_0_2245,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_4,e_2,e_1)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_1239,c_0_1147]),
[final] ).
cnf(c_0_2246,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_2,e_3,e_4)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_1239,c_0_934]),
[final] ).
cnf(c_0_2247,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_3,e_5,e_2)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1239,c_0_956]),
[final] ).
cnf(c_0_2248,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_5,e_4,e_2)
| product(e_4,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1198,c_0_1062]),c_0_1200]),
[final] ).
cnf(c_0_2249,negated_conjecture,
( ~ product(e_3,e_5,e_2)
| product(e_5,e_3,e_4)
| product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_856,c_0_1611]),
[final] ).
cnf(c_0_2250,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_5,e_4,e_2)
| product(e_5,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1198,c_0_581]),c_0_1200]),
[final] ).
cnf(c_0_2251,negated_conjecture,
( ~ product(e_2,e_5,X1)
| ~ product(e_3,e_5,e_2)
| product(X1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_134,c_0_1611]),
[final] ).
cnf(c_0_2252,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_1)
| product(e_5,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_1612,c_0_574]),
[final] ).
cnf(c_0_2253,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_2,e_3,e_5)
| product(e_5,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_1613,c_0_574]),
[final] ).
cnf(c_0_2254,negated_conjecture,
( ~ product(e_4,e_5,X1)
| product(X1,e_2,e_5)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_134,c_0_1614]),
[final] ).
cnf(c_0_2255,negated_conjecture,
( ~ product(e_5,e_2,e_3)
| ~ product(e_5,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_210,c_0_1121]),
[final] ).
cnf(c_0_2256,negated_conjecture,
( ~ product(e_4,e_2,e_1)
| ~ product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_1615,c_0_981]),
[final] ).
cnf(c_0_2257,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_4,e_5,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_250,c_0_1616]),c_0_58])]),
[final] ).
cnf(c_0_2258,negated_conjecture,
( ~ product(e_2,e_4,X1)
| product(X1,e_1,e_4)
| product(e_3,e_4,e_5)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_134,c_0_873]),
[final] ).
cnf(c_0_2259,negated_conjecture,
( ~ product(e_4,e_1,X1)
| product(X1,e_2,e_1)
| product(e_4,e_2,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_1617]),c_0_1618]),
[final] ).
cnf(c_0_2260,negated_conjecture,
( ~ product(e_5,e_4,e_3)
| product(e_3,e_4,e_5)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_57,c_0_1581]),
[final] ).
cnf(c_0_2261,negated_conjecture,
( ~ product(e_1,e_4,e_2)
| product(e_3,e_4,e_5)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_186,c_0_1581]),
[final] ).
cnf(c_0_2262,negated_conjecture,
( ~ product(e_5,e_2,e_1)
| product(e_3,e_4,e_5)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_232,c_0_1338]),
[final] ).
cnf(c_0_2263,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_5,e_4,e_2)
| product(e_3,e_4,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1198,c_0_1303]),c_0_1200]),
[final] ).
cnf(c_0_2264,negated_conjecture,
( ~ product(e_4,e_5,X1)
| ~ product(e_2,e_3,e_4)
| product(X1,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_134,c_0_1619]),
[final] ).
cnf(c_0_2265,negated_conjecture,
( ~ product(e_5,e_1,X1)
| product(X1,e_2,e_1)
| product(e_3,e_4,e_5)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_792]),
[final] ).
cnf(c_0_2266,negated_conjecture,
( ~ product(e_4,e_2,e_3)
| product(e_2,e_3,e_1)
| product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_118,c_0_829]),
[final] ).
cnf(c_0_2267,negated_conjecture,
( ~ product(e_4,e_2,e_3)
| product(e_3,e_5,e_2)
| product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_118,c_0_838]),
[final] ).
cnf(c_0_2268,negated_conjecture,
( ~ product(e_3,e_1,e_2)
| product(e_2,e_3,e_4)
| product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_83,c_0_771]),
[final] ).
cnf(c_0_2269,negated_conjecture,
( ~ product(e_4,e_3,e_2)
| product(e_2,e_3,e_4)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_118,c_0_934]),
[final] ).
cnf(c_0_2270,negated_conjecture,
( ~ product(e_3,e_5,X1)
| ~ product(e_4,e_3,e_1)
| product(X1,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_134,c_0_1201]),
[final] ).
cnf(c_0_2271,negated_conjecture,
( ~ product(e_4,e_3,e_1)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_607,c_0_1201]),
[final] ).
cnf(c_0_2272,negated_conjecture,
( ~ product(e_2,e_4,e_1)
| product(e_5,e_3,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1078,c_0_1067]),c_0_205]),
[final] ).
cnf(c_0_2273,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_5,e_2)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_730,c_0_715]),
[final] ).
cnf(c_0_2274,negated_conjecture,
( ~ product(e_2,e_5,X1)
| product(X1,e_1,e_5)
| product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_710]),
[final] ).
cnf(c_0_2275,negated_conjecture,
( ~ product(e_5,e_2,e_3)
| product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_429,c_0_710]),
[final] ).
cnf(c_0_2276,negated_conjecture,
( ~ product(e_1,e_5,X1)
| product(X1,e_4,e_5)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_1620]),
[final] ).
cnf(c_0_2277,negated_conjecture,
( ~ product(e_5,e_4,e_4)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_130,c_0_1620]),
[final] ).
cnf(c_0_2278,negated_conjecture,
( ~ product(e_5,e_1,e_3)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_214,c_0_1620]),
[final] ).
cnf(c_0_2279,negated_conjecture,
( ~ product(e_5,e_1,e_2)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_290,c_0_1620]),
[final] ).
cnf(c_0_2280,negated_conjecture,
( ~ product(e_4,e_3,e_2)
| product(e_3,e_5,e_2)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_149,c_0_1590]),
[final] ).
cnf(c_0_2281,negated_conjecture,
( ~ product(e_3,e_4,X1)
| ~ product(e_2,e_4,e_1)
| product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_134,c_0_1621]),
[final] ).
cnf(c_0_2282,negated_conjecture,
( ~ product(e_3,e_4,X1)
| ~ product(e_2,e_3,e_5)
| product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_134,c_0_1622]),
[final] ).
cnf(c_0_2283,negated_conjecture,
( ~ product(e_2,e_5,X1)
| product(X1,e_1,e_5)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_952]),
[final] ).
cnf(c_0_2284,negated_conjecture,
( ~ product(e_5,e_2,e_1)
| product(e_2,e_3,e_5)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_232,c_0_1107]),
[final] ).
cnf(c_0_2285,negated_conjecture,
( ~ product(e_5,e_2,e_1)
| product(e_3,e_5,e_2)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_232,c_0_854]),
[final] ).
cnf(c_0_2286,negated_conjecture,
( ~ product(e_5,e_2,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_232,c_0_933]),
[final] ).
cnf(c_0_2287,negated_conjecture,
( ~ product(e_3,e_1,e_2)
| product(e_3,e_5,e_4)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_83,c_0_1593]),
[final] ).
cnf(c_0_2288,negated_conjecture,
( ~ product(e_2,e_5,X1)
| product(X1,e_1,e_5)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_134,c_0_857]),
[final] ).
cnf(c_0_2289,negated_conjecture,
( ~ product(e_2,e_4,e_5)
| product(e_3,e_5,e_2)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1623,c_0_421]),
[final] ).
cnf(c_0_2290,negated_conjecture,
( ~ product(e_5,e_4,e_2)
| product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_57,c_0_1624]),
[final] ).
cnf(c_0_2291,negated_conjecture,
( ~ product(e_1,e_5,X1)
| product(X1,e_4,e_5)
| product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_134,c_0_780]),
[final] ).
cnf(c_0_2292,negated_conjecture,
( ~ product(e_2,e_5,X1)
| product(X1,e_1,e_5)
| product(e_5,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_134,c_0_887]),
[final] ).
cnf(c_0_2293,negated_conjecture,
( ~ product(e_4,e_3,e_1)
| product(e_2,e_4,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1625,c_0_1013]),c_0_121]),
[final] ).
cnf(c_0_2294,negated_conjecture,
( ~ product(e_4,e_3,e_1)
| product(e_3,e_5,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1625,c_0_814]),c_0_121]),
[final] ).
cnf(c_0_2295,negated_conjecture,
( ~ product(e_4,e_2,e_1)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_118,c_0_952]),
[final] ).
cnf(c_0_2296,negated_conjecture,
( ~ product(e_5,e_2,e_3)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_429,c_0_952]),
[final] ).
cnf(c_0_2297,negated_conjecture,
( ~ product(e_5,e_1,X1)
| product(X1,e_2,e_1)
| product(e_2,e_3,e_1)
| product(e_3,e_2,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_1626]),c_0_1627]),
[final] ).
cnf(c_0_2298,negated_conjecture,
( ~ product(e_2,e_4,e_1)
| ~ product(e_5,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_429,c_0_923]),
[final] ).
cnf(c_0_2299,negated_conjecture,
( ~ product(e_4,e_1,X1)
| product(X1,e_2,e_1)
| product(e_5,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_624]),
[final] ).
cnf(c_0_2300,negated_conjecture,
( ~ product(e_5,e_2,e_3)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_429,c_0_857]),
[final] ).
cnf(c_0_2301,negated_conjecture,
( ~ product(e_2,e_5,X1)
| product(X1,e_1,e_5)
| product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_134,c_0_1628]),
[final] ).
cnf(c_0_2302,negated_conjecture,
( ~ product(e_3,e_4,X1)
| ~ product(e_3,e_1,e_4)
| product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_134,c_0_807]),
[final] ).
cnf(c_0_2303,negated_conjecture,
( ~ product(e_2,e_5,X1)
| ~ product(e_4,e_3,e_1)
| product(X1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_134,c_0_1363]),
[final] ).
cnf(c_0_2304,negated_conjecture,
( ~ product(e_2,e_5,X1)
| ~ product(e_2,e_3,e_1)
| product(X1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_134,c_0_565]),
[final] ).
cnf(c_0_2305,negated_conjecture,
( ~ product(e_3,e_5,X1)
| ~ product(e_2,e_3,e_4)
| product(X1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_134,c_0_635]),
[final] ).
cnf(c_0_2306,negated_conjecture,
( ~ product(e_5,e_4,X1)
| product(X1,e_2,e_4)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_1586,c_0_1629]),
[final] ).
cnf(c_0_2307,negated_conjecture,
( ~ product(e_3,e_1,e_4)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_542,c_0_807]),
[final] ).
cnf(c_0_2308,negated_conjecture,
( ~ product(e_3,e_1,e_4)
| ~ product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_1177,c_0_807]),
[final] ).
cnf(c_0_2309,negated_conjecture,
( ~ product(e_3,e_1,e_4)
| ~ product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_1630,c_0_807]),
[final] ).
cnf(c_0_2310,negated_conjecture,
( ~ product(e_5,e_4,e_4)
| product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_130,c_0_780]),
[final] ).
cnf(c_0_2311,negated_conjecture,
( ~ product(e_5,e_1,e_3)
| product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_214,c_0_780]),
[final] ).
cnf(c_0_2312,negated_conjecture,
( ~ product(e_5,e_1,e_2)
| product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_290,c_0_780]),
[final] ).
cnf(c_0_2313,negated_conjecture,
( ~ product(e_4,e_2,e_1)
| product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_439,c_0_981]),c_0_441]),
[final] ).
cnf(c_0_2314,negated_conjecture,
( ~ product(e_2,e_3,e_1)
| ~ product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_118,c_0_565]),
[final] ).
cnf(c_0_2315,negated_conjecture,
( ~ product(e_2,e_3,e_1)
| ~ product(e_5,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_429,c_0_565]),
[final] ).
cnf(c_0_2316,negated_conjecture,
( ~ product(e_2,e_5,e_1)
| ~ product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_149,c_0_789]),
[final] ).
cnf(c_0_2317,negated_conjecture,
( ~ product(e_5,e_2,e_1)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_232,c_0_1631]),
[final] ).
cnf(c_0_2318,negated_conjecture,
( ~ product(e_5,e_3,e_2)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_149,c_0_1631]),
[final] ).
cnf(c_0_2319,negated_conjecture,
( ~ product(e_1,e_4,X1)
| product(X1,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_134,c_0_764]),
[final] ).
cnf(c_0_2320,negated_conjecture,
( ~ product(e_3,e_2,e_4)
| ~ product(e_5,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_57,c_0_1493]),
[final] ).
cnf(c_0_2321,negated_conjecture,
( ~ product(e_1,e_5,X1)
| product(X1,e_4,e_5)
| product(e_2,e_3,e_1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_1632]),c_0_1633]),c_0_1634]),
[final] ).
cnf(c_0_2322,negated_conjecture,
( ~ product(e_5,e_2,e_3)
| product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_429,c_0_1628]),
[final] ).
cnf(c_0_2323,negated_conjecture,
( ~ product(e_4,e_1,X1)
| product(X1,e_2,e_1)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_1180,c_0_1635]),
[final] ).
cnf(c_0_2324,negated_conjecture,
( ~ product(e_5,e_4,X1)
| product(X1,e_2,e_4)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_1635]),
[final] ).
cnf(c_0_2325,negated_conjecture,
( ~ product(e_2,e_5,X1)
| product(X1,e_1,e_5)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_134,c_0_1636]),
[final] ).
cnf(c_0_2326,negated_conjecture,
( ~ product(e_3,e_5,e_4)
| product(e_2,e_3,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_210,c_0_1179]),c_0_290]),
[final] ).
cnf(c_0_2327,negated_conjecture,
( ~ product(e_3,e_1,X1)
| product(X1,e_5,e_1)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_134,c_0_1135]),
[final] ).
cnf(c_0_2328,negated_conjecture,
( ~ product(e_4,e_2,e_1)
| ~ product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_1177,c_0_1362]),
[final] ).
cnf(c_0_2329,negated_conjecture,
( ~ product(e_4,e_3,e_2)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_219,c_0_738]),
[final] ).
cnf(c_0_2330,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_4,e_5,e_2)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_994,c_0_513]),
[final] ).
cnf(c_0_2331,negated_conjecture,
( ~ product(e_2,e_5,e_4)
| product(e_3,e_2,e_4)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_104,c_0_988]),
[final] ).
cnf(c_0_2332,negated_conjecture,
( ~ product(e_2,e_5,e_4)
| product(e_2,e_3,e_5)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_104,c_0_1157]),
[final] ).
cnf(c_0_2333,negated_conjecture,
( ~ product(e_2,e_5,X1)
| ~ product(e_2,e_4,e_1)
| product(X1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_1637,c_0_999]),
[final] ).
cnf(c_0_2334,negated_conjecture,
( ~ product(e_4,e_1,X1)
| ~ product(e_2,e_4,e_1)
| product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_1601,c_0_999]),
[final] ).
cnf(c_0_2335,negated_conjecture,
( ~ product(e_2,e_4,e_5)
| product(e_3,e_5,e_2)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_1638,c_0_421]),
[final] ).
cnf(c_0_2336,negated_conjecture,
( ~ product(e_2,e_5,e_4)
| product(e_2,e_4,e_1)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_104,c_0_989]),
[final] ).
cnf(c_0_2337,negated_conjecture,
( ~ product(e_5,e_4,X1)
| ~ product(e_2,e_4,e_1)
| product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_1596,c_0_999]),
[final] ).
cnf(c_0_2338,negated_conjecture,
( ~ product(e_2,e_5,X1)
| ~ product(e_2,e_3,e_5)
| product(X1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_134,c_0_599]),
[final] ).
cnf(c_0_2339,negated_conjecture,
( ~ product(e_4,e_1,X1)
| ~ product(e_2,e_3,e_5)
| product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_1180,c_0_1639]),
[final] ).
cnf(c_0_2340,plain,
( ~ product(e_2,e_5,e_4)
| product(e_3,e_4,e_5)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_104,c_0_1599]),
[final] ).
cnf(c_0_2341,negated_conjecture,
( ~ product(e_5,e_4,X1)
| ~ product(e_2,e_3,e_5)
| product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_134,c_0_1639]),
[final] ).
cnf(c_0_2342,negated_conjecture,
( ~ product(e_5,e_4,e_2)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_57,c_0_1640]),
[final] ).
cnf(c_0_2343,negated_conjecture,
( ~ product(e_2,e_5,X1)
| product(X1,e_1,e_5)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_1374]),
[final] ).
cnf(c_0_2344,negated_conjecture,
( ~ product(e_2,e_3,e_5)
| ~ product(e_5,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_429,c_0_599]),
[final] ).
cnf(c_0_2345,negated_conjecture,
( ~ product(e_5,e_4,X1)
| product(X1,e_2,e_4)
| product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_134,c_0_882]),
[final] ).
cnf(c_0_2346,negated_conjecture,
( ~ product(e_4,e_3,e_1)
| ~ product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1641,c_0_1079]),
[final] ).
cnf(c_0_2347,negated_conjecture,
( ~ product(e_4,e_3,e_1)
| ~ product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1642,c_0_1079]),
[final] ).
cnf(c_0_2348,negated_conjecture,
( ~ product(e_4,e_3,e_1)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_754,c_0_1079]),
[final] ).
cnf(c_0_2349,negated_conjecture,
( ~ product(e_4,e_2,e_1)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_118,c_0_1636]),
[final] ).
cnf(c_0_2350,negated_conjecture,
( ~ product(e_5,e_2,e_3)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_429,c_0_1636]),
[final] ).
cnf(c_0_2351,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_2,e_3,e_1)
| product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_1643,c_0_514]),
[final] ).
cnf(c_0_2352,negated_conjecture,
( ~ product(e_4,e_3,e_2)
| product(e_5,e_2,e_3)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_118,c_0_672]),
[final] ).
cnf(c_0_2353,negated_conjecture,
( ~ product(e_2,e_4,e_5)
| product(e_5,e_2,e_3)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_1644,c_0_421]),
[final] ).
cnf(c_0_2354,negated_conjecture,
( ~ product(e_4,e_3,e_1)
| product(e_3,e_4,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_947]),c_0_121]),
[final] ).
cnf(c_0_2355,negated_conjecture,
( ~ product(e_5,e_2,e_1)
| product(e_3,e_4,e_5)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_232,c_0_947]),
[final] ).
cnf(c_0_2356,negated_conjecture,
( ~ product(e_4,e_3,e_2)
| product(e_3,e_5,e_2)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_118,c_0_956]),
[final] ).
cnf(c_0_2357,negated_conjecture,
( ~ product(e_3,e_4,e_1)
| product(e_3,e_5,e_2)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_250,c_0_1326]),
[final] ).
cnf(c_0_2358,negated_conjecture,
( ~ product(e_3,e_5,e_4)
| product(e_2,e_5,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_210,c_0_1326]),c_0_290]),
[final] ).
cnf(c_0_2359,negated_conjecture,
( ~ product(e_2,e_4,e_5)
| product(e_3,e_5,e_2)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1645,c_0_421]),
[final] ).
cnf(c_0_2360,negated_conjecture,
( ~ product(e_4,e_3,e_2)
| product(e_2,e_3,e_1)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_118,c_0_909]),
[final] ).
cnf(c_0_2361,negated_conjecture,
( ~ product(e_2,e_4,e_5)
| product(e_2,e_3,e_1)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1646,c_0_1161]),
[final] ).
cnf(c_0_2362,negated_conjecture,
( ~ product(e_3,e_4,e_1)
| product(e_2,e_3,e_1)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_250,c_0_1330]),
[final] ).
cnf(c_0_2363,negated_conjecture,
( ~ product(e_5,e_2,e_3)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_429,c_0_1374]),
[final] ).
cnf(c_0_2364,negated_conjecture,
( ~ product(e_3,e_4,X1)
| ~ product(e_4,e_2,e_1)
| product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_134,c_0_1362]),
[final] ).
cnf(c_0_2365,negated_conjecture,
( ~ product(e_4,e_2,e_1)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_542,c_0_1362]),
[final] ).
cnf(c_0_2366,negated_conjecture,
( ~ product(e_4,e_2,e_1)
| ~ product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_1630,c_0_1362]),
[final] ).
cnf(c_0_2367,negated_conjecture,
( ~ product(e_4,e_2,e_1)
| ~ product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_1647,c_0_1362]),
[final] ).
cnf(c_0_2368,negated_conjecture,
( ~ product(e_4,e_3,e_1)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_1006,c_0_520]),
[final] ).
cnf(c_0_2369,negated_conjecture,
( ~ product(e_3,e_4,X1)
| ~ product(e_3,e_5,e_2)
| product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_134,c_0_926]),
[final] ).
cnf(c_0_2370,negated_conjecture,
( ~ product(e_4,e_5,e_3)
| ~ product(e_5,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_210,c_0_509]),
[final] ).
cnf(c_0_2371,negated_conjecture,
( ~ product(e_5,e_4,e_2)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_57,c_0_629]),
[final] ).
cnf(c_0_2372,negated_conjecture,
( ~ product(e_2,e_5,X1)
| product(X1,e_1,e_5)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_134,c_0_1648]),
[final] ).
cnf(c_0_2373,negated_conjecture,
( ~ product(e_2,e_1,X1)
| product(X1,e_4,e_1)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_1649,c_0_1063]),
[final] ).
cnf(c_0_2374,negated_conjecture,
( ~ product(e_3,e_5,X1)
| product(X1,e_4,e_5)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_134,c_0_1063]),
[final] ).
cnf(c_0_2375,negated_conjecture,
( ~ product(e_3,e_1,e_4)
| product(e_3,e_5,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_916,c_0_881]),c_0_124]),
[final] ).
cnf(c_0_2376,negated_conjecture,
( ~ product(e_4,e_2,e_3)
| product(e_3,e_5,e_1)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_429,c_0_1605]),
[final] ).
cnf(c_0_2377,negated_conjecture,
( ~ product(e_2,e_4,e_5)
| product(e_3,e_5,e_2)
| product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_1650,c_0_421]),
[final] ).
cnf(c_0_2378,negated_conjecture,
( ~ product(e_2,e_5,X1)
| ~ product(e_2,e_5,e_1)
| product(X1,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_134,c_0_1651]),
[final] ).
cnf(c_0_2379,negated_conjecture,
( ~ product(e_4,e_3,e_2)
| product(e_5,e_2,e_3)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_118,c_0_796]),
[final] ).
cnf(c_0_2380,negated_conjecture,
( ~ product(e_2,e_4,e_5)
| product(e_5,e_2,e_3)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_1378,c_0_421]),
[final] ).
cnf(c_0_2381,negated_conjecture,
( ~ product(e_4,e_1,X1)
| ~ product(e_2,e_3,e_1)
| product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_1600,c_0_1546]),
[final] ).
cnf(c_0_2382,negated_conjecture,
( ~ product(e_5,e_3,X1)
| ~ product(e_2,e_3,e_1)
| product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_134,c_0_1546]),
[final] ).
cnf(c_0_2383,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_2,e_3,e_1)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_783,c_0_801]),
[final] ).
cnf(c_0_2384,negated_conjecture,
( ~ product(e_3,e_2,e_5)
| product(e_2,e_5,e_1)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_783,c_0_393]),
[final] ).
cnf(c_0_2385,negated_conjecture,
( ~ product(e_2,e_4,X1)
| ~ product(e_2,e_3,e_1)
| product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_134,c_0_1652]),
[final] ).
cnf(c_0_2386,negated_conjecture,
( ~ product(e_3,e_5,X1)
| ~ product(e_2,e_3,e_1)
| product(X1,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_134,c_0_634]),
[final] ).
cnf(c_0_2387,negated_conjecture,
( ~ product(e_4,e_2,e_1)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_118,c_0_1648]),
[final] ).
cnf(c_0_2388,negated_conjecture,
( ~ product(e_5,e_2,e_3)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_429,c_0_1648]),
[final] ).
cnf(c_0_2389,negated_conjecture,
( ~ product(e_5,e_1,X1)
| product(X1,e_2,e_1)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_134,c_0_486]),
[final] ).
cnf(c_0_2390,negated_conjecture,
( ~ product(e_5,e_2,X1)
| ~ product(e_2,e_3,e_4)
| product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_134,c_0_737]),
[final] ).
cnf(c_0_2391,negated_conjecture,
( ~ product(e_1,e_5,X1)
| product(X1,e_4,e_5)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_134,c_0_843]),
[final] ).
cnf(c_0_2392,negated_conjecture,
( ~ product(e_2,e_1,X1)
| product(X1,e_4,e_1)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_134,c_0_801]),
[final] ).
cnf(c_0_2393,negated_conjecture,
( ~ product(e_3,e_4,X1)
| product(X1,e_2,e_4)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_134,c_0_1653]),
[final] ).
cnf(c_0_2394,negated_conjecture,
( ~ product(e_1,e_2,e_5)
| product(e_4,e_2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_500,c_0_1202]),c_0_502]),
[final] ).
cnf(c_0_2395,negated_conjecture,
( ~ product(e_2,e_4,e_1)
| ~ product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_149,c_0_878]),
[final] ).
cnf(c_0_2396,negated_conjecture,
( ~ product(e_3,e_1,X1)
| product(X1,e_4,e_1)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_1399,c_0_1654]),
[final] ).
cnf(c_0_2397,negated_conjecture,
( ~ product(e_2,e_1,X1)
| product(X1,e_5,e_1)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_1654]),
[final] ).
cnf(c_0_2398,negated_conjecture,
( ~ product(e_2,e_5,X1)
| product(X1,e_1,e_5)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_134,c_0_1655]),
[final] ).
cnf(c_0_2399,negated_conjecture,
( ~ product(e_3,e_1,X1)
| product(X1,e_4,e_1)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_1399,c_0_1656]),
[final] ).
cnf(c_0_2400,negated_conjecture,
( ~ product(e_2,e_1,X1)
| product(X1,e_5,e_1)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_134,c_0_1656]),
[final] ).
cnf(c_0_2401,negated_conjecture,
( ~ product(e_2,e_4,X1)
| ~ product(e_3,e_5,e_2)
| product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_134,c_0_502]),
[final] ).
cnf(c_0_2402,negated_conjecture,
( ~ product(e_5,e_1,X1)
| ~ product(e_2,e_3,e_4)
| product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_612]),
[final] ).
cnf(c_0_2403,negated_conjecture,
( ~ product(e_4,e_5,X1)
| product(X1,e_3,e_5)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_134,c_0_1657]),
[final] ).
cnf(c_0_2404,negated_conjecture,
( ~ product(e_5,e_4,e_3)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_1182,c_0_570]),
[final] ).
cnf(c_0_2405,negated_conjecture,
( ~ product(e_2,e_5,X1)
| ~ product(e_2,e_3,e_4)
| product(X1,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_134,c_0_1658]),
[final] ).
cnf(c_0_2406,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_3,e_4,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_489,c_0_1659]),c_0_1059]),
[final] ).
cnf(c_0_2407,negated_conjecture,
( ~ product(e_1,e_3,X1)
| ~ product(e_2,e_3,e_4)
| product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_134,c_0_716]),
[final] ).
cnf(c_0_2408,negated_conjecture,
( ~ product(e_2,e_4,X1)
| ~ product(e_3,e_1,e_4)
| product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_134,c_0_881]),
[final] ).
cnf(c_0_2409,negated_conjecture,
( ~ product(e_2,e_3,e_4)
| ~ product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_83,c_0_462]),
[final] ).
cnf(c_0_2410,negated_conjecture,
( ~ product(e_2,e_3,e_4)
| ~ product(e_5,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_130,c_0_462]),
[final] ).
cnf(c_0_2411,negated_conjecture,
( ~ product(e_2,e_3,e_4)
| ~ product(e_5,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_214,c_0_462]),
[final] ).
cnf(c_0_2412,negated_conjecture,
( ~ product(e_5,e_4,e_4)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_130,c_0_843]),
[final] ).
cnf(c_0_2413,negated_conjecture,
( ~ product(e_5,e_1,e_3)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_214,c_0_843]),
[final] ).
cnf(c_0_2414,negated_conjecture,
( ~ product(e_3,e_1,X1)
| product(X1,e_4,e_1)
| product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_1399,c_0_1660]),
[final] ).
cnf(c_0_2415,negated_conjecture,
( ~ product(e_2,e_1,X1)
| product(X1,e_5,e_1)
| product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_134,c_0_1660]),
[final] ).
cnf(c_0_2416,negated_conjecture,
( ~ product(e_2,e_4,e_5)
| product(e_3,e_5,e_4)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_1661,c_0_421]),
[final] ).
cnf(c_0_2417,negated_conjecture,
( ~ product(e_2,e_4,e_5)
| product(e_2,e_3,e_1)
| product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_1662,c_0_421]),
[final] ).
cnf(c_0_2418,negated_conjecture,
( ~ product(e_4,e_3,X1)
| product(X1,e_1,e_3)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_134,c_0_727]),
[final] ).
cnf(c_0_2419,negated_conjecture,
( ~ product(e_2,e_4,X1)
| product(X1,e_3,e_4)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_995]),
[final] ).
cnf(c_0_2420,negated_conjecture,
( ~ product(e_3,e_1,X1)
| ~ product(e_2,e_4,e_1)
| product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_1607,c_0_999]),
[final] ).
cnf(c_0_2421,negated_conjecture,
( ~ product(e_1,e_3,X1)
| product(X1,e_2,e_3)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_1659]),
[final] ).
cnf(c_0_2422,negated_conjecture,
( ~ product(e_4,e_3,X1)
| ~ product(e_2,e_4,e_5)
| product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_1663,c_0_421]),
[final] ).
cnf(c_0_2423,negated_conjecture,
( ~ product(e_5,e_3,e_4)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_1664,c_0_1654]),
[final] ).
cnf(c_0_2424,negated_conjecture,
( ~ product(e_1,e_2,e_4)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_138,c_0_1654]),
[final] ).
cnf(c_0_2425,negated_conjecture,
( ~ product(e_2,e_1,X1)
| product(X1,e_4,e_1)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_134,c_0_465]),
[final] ).
cnf(c_0_2426,negated_conjecture,
( ~ product(e_2,e_4,X1)
| ~ product(e_2,e_4,e_1)
| product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1665,c_0_999]),
[final] ).
cnf(c_0_2427,negated_conjecture,
( ~ product(e_5,e_3,X1)
| ~ product(e_2,e_3,e_4)
| product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_134,c_0_616]),
[final] ).
cnf(c_0_2428,negated_conjecture,
( ~ product(e_1,e_5,X1)
| product(X1,e_4,e_5)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_134,c_0_1666]),
[final] ).
cnf(c_0_2429,negated_conjecture,
( ~ product(e_5,e_1,X1)
| product(X1,e_3,e_1)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_134,c_0_1173]),
[final] ).
cnf(c_0_2430,negated_conjecture,
( ~ product(e_2,e_4,X1)
| ~ product(e_2,e_3,e_4)
| product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_134,c_0_414]),
[final] ).
cnf(c_0_2431,negated_conjecture,
( ~ product(e_4,e_3,X1)
| ~ product(e_2,e_3,e_1)
| product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_134,c_0_1370]),
[final] ).
cnf(c_0_2432,negated_conjecture,
( ~ product(e_4,e_3,X1)
| ~ product(e_2,e_3,e_4)
| product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_134,c_0_1175]),
[final] ).
cnf(c_0_2433,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1667,c_0_1072]),
[final] ).
cnf(c_0_2434,negated_conjecture,
( ~ product(e_1,e_2,e_4)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_138,c_0_1656]),
[final] ).
cnf(c_0_2435,negated_conjecture,
( ~ product(e_4,e_3,X1)
| ~ product(e_2,e_5,e_1)
| product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_134,c_0_1059]),
[final] ).
cnf(c_0_2436,negated_conjecture,
( ~ product(e_2,e_4,X1)
| ~ product(e_2,e_3,e_5)
| product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_134,c_0_476]),
[final] ).
cnf(c_0_2437,negated_conjecture,
( ~ product(e_5,e_3,X1)
| ~ product(e_2,e_4,e_1)
| product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_1668,c_0_999]),
[final] ).
cnf(c_0_2438,negated_conjecture,
( ~ product(e_3,e_4,X1)
| product(X1,e_1,e_4)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_134,c_0_1629]),
[final] ).
cnf(c_0_2439,plain,
( ~ product(e_5,e_2,e_3)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_230,c_0_1657]),
[final] ).
cnf(c_0_2440,negated_conjecture,
( ~ product(e_4,e_2,X1)
| product(X1,e_1,e_2)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_134,c_0_1072]),
[final] ).
cnf(c_0_2441,negated_conjecture,
( ~ product(e_1,e_3,X1)
| ~ product(e_2,e_4,e_1)
| product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_1669,c_0_999]),
[final] ).
cnf(c_0_2442,negated_conjecture,
( ~ product(e_3,e_5,X1)
| ~ product(e_2,e_4,e_1)
| product(X1,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_1162,c_0_999]),
[final] ).
cnf(c_0_2443,negated_conjecture,
( ~ product(e_1,e_3,X1)
| product(X1,e_2,e_3)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_134,c_0_1366]),
[final] ).
cnf(c_0_2444,negated_conjecture,
( ~ product(e_5,e_3,X1)
| product(X1,e_1,e_3)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_134,c_0_1351]),
[final] ).
cnf(c_0_2445,negated_conjecture,
( ~ product(e_2,e_3,X1)
| product(X1,e_4,e_3)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_134,c_0_1670]),
[final] ).
cnf(c_0_2446,negated_conjecture,
( ~ product(e_3,e_4,X1)
| ~ product(e_2,e_4,e_5)
| product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_1671,c_0_421]),
[final] ).
cnf(c_0_2447,negated_conjecture,
( ~ product(e_4,e_3,X1)
| product(X1,e_5,e_3)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_134,c_0_408]),
[final] ).
cnf(c_0_2448,negated_conjecture,
( ~ product(e_2,e_1,X1)
| ~ product(e_2,e_5,e_1)
| product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_1672,c_0_693]),
[final] ).
cnf(c_0_2449,negated_conjecture,
( ~ product(e_2,e_1,X1)
| ~ product(e_2,e_4,e_5)
| product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_1672,c_0_421]),
[final] ).
cnf(c_0_2450,negated_conjecture,
( ~ product(e_3,e_4,X1)
| ~ product(e_2,e_3,e_1)
| product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_134,c_0_1184]),
[final] ).
cnf(c_0_2451,negated_conjecture,
( ~ product(e_1,e_3,X1)
| ~ product(e_2,e_3,e_5)
| product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_134,c_0_1673]),
[final] ).
cnf(c_0_2452,negated_conjecture,
( ~ product(e_2,e_1,X1)
| ~ product(e_2,e_3,e_1)
| product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_447]),
[final] ).
cnf(c_0_2453,negated_conjecture,
( ~ product(e_3,e_5,X1)
| ~ product(e_2,e_3,e_5)
| product(X1,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_134,c_0_567]),
[final] ).
cnf(c_0_2454,negated_conjecture,
( ~ product(e_4,e_2,X1)
| ~ product(e_2,e_3,e_1)
| product(X1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_134,c_0_433]),
[final] ).
cnf(c_0_2455,negated_conjecture,
( ~ product(e_3,e_1,X1)
| ~ product(e_2,e_3,e_5)
| product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_445]),
[final] ).
cnf(c_0_2456,negated_conjecture,
( ~ product(e_3,e_4,X1)
| product(X1,e_2,e_4)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_699]),
[final] ).
cnf(c_0_2457,negated_conjecture,
( ~ product(e_2,e_1,X1)
| product(X1,e_4,e_1)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_676]),
[final] ).
cnf(c_0_2458,negated_conjecture,
( ~ product(e_3,e_4,X1)
| product(X1,e_2,e_4)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_134,c_0_543]),
[final] ).
cnf(c_0_2459,negated_conjecture,
( ~ product(e_2,e_1,X1)
| product(X1,e_4,e_1)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_134,c_0_533]),
[final] ).
cnf(c_0_2460,negated_conjecture,
( ~ product(e_2,e_1,X1)
| product(X1,e_4,e_1)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_134,c_0_549]),
[final] ).
cnf(c_0_2461,negated_conjecture,
( ~ product(e_2,e_3,e_4)
| ~ product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_290,c_0_616]),
[final] ).
cnf(c_0_2462,negated_conjecture,
( ~ product(e_2,e_1,X1)
| product(X1,e_4,e_1)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_640]),
[final] ).
cnf(c_0_2463,negated_conjecture,
( ~ product(e_2,e_3,e_1)
| ~ product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_280,c_0_1370]),
[final] ).
cnf(c_0_2464,negated_conjecture,
( ~ product(e_3,e_4,e_5)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_280,c_0_720]),
[final] ).
cnf(c_0_2465,negated_conjecture,
( ~ product(e_3,e_4,e_5)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_280,c_0_556]),
[final] ).
cnf(c_0_2466,negated_conjecture,
( ~ product(e_3,e_4,e_5)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_280,c_0_562]),
[final] ).
cnf(c_0_2467,negated_conjecture,
( ~ product(e_3,e_5,e_2)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_72,c_0_1659]),
[final] ).
cnf(c_0_2468,negated_conjecture,
( ~ product(e_3,e_4,X1)
| ~ product(e_2,e_3,e_4)
| product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_134,c_0_401]),
[final] ).
cnf(c_0_2469,negated_conjecture,
( ~ product(e_3,e_1,X1)
| product(X1,e_4,e_1)
| product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_134,c_0_376]),
[final] ).
cnf(c_0_2470,negated_conjecture,
( ~ product(e_2,e_1,X1)
| product(X1,e_5,e_1)
| product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_134,c_0_363]),
[final] ).
cnf(c_0_2471,negated_conjecture,
( ~ product(e_2,e_1,X1)
| ~ product(e_2,e_3,e_4)
| product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_390]),
[final] ).
cnf(c_0_2472,negated_conjecture,
( ~ product(e_3,e_1,e_4)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_83,c_0_1666]),
[final] ).
cnf(c_0_2473,negated_conjecture,
( ~ product(e_5,e_3,e_4)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_182,c_0_1666]),
[final] ).
cnf(c_0_2474,negated_conjecture,
( ~ product(e_5,e_4,e_4)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_130,c_0_1666]),
[final] ).
cnf(c_0_2475,negated_conjecture,
( ~ product(e_5,e_1,e_3)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_214,c_0_1666]),
[final] ).
cnf(c_0_2476,negated_conjecture,
( ~ product(e_5,e_1,e_2)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_290,c_0_1666]),
[final] ).
cnf(c_0_2477,negated_conjecture,
( ~ product(e_1,e_4,e_3)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_250,c_0_1173]),
[final] ).
cnf(c_0_2478,negated_conjecture,
( ~ product(e_1,e_5,e_2)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_186,c_0_1173]),
[final] ).
cnf(c_0_2479,negated_conjecture,
( ~ product(e_4,e_2,e_1)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_232,c_0_1629]),
[final] ).
cnf(c_0_2480,negated_conjecture,
( ~ product(e_4,e_3,e_2)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_149,c_0_1629]),
[final] ).
cnf(c_0_2481,negated_conjecture,
( ~ product(e_3,e_4,e_1)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_250,c_0_1351]),
[final] ).
cnf(c_0_2482,negated_conjecture,
( ~ product(e_3,e_5,e_4)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_210,c_0_1351]),
[final] ).
cnf(c_0_2483,negated_conjecture,
( ~ product(e_3,e_5,e_2)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_149,c_0_1351]),
[final] ).
cnf(c_0_2484,negated_conjecture,
( ~ product(e_3,e_2,e_4)
| ~ product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_72,c_0_760]),
[final] ).
cnf(c_0_2485,plain,
( ~ product(e_5,e_3,e_4)
| ~ product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_76,c_0_1377]),
[final] ).
cnf(c_0_2486,negated_conjecture,
( ~ product(e_5,e_3,e_4)
| product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_389,c_0_1377]),
[final] ).
cnf(c_0_2487,negated_conjecture,
( ~ product(e_4,e_1,X1)
| product(X1,e_3,e_1)
| product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_134,c_0_338]),
[final] ).
cnf(c_0_2488,negated_conjecture,
( ~ product(e_2,e_4,X1)
| product(X1,e_1,e_4)
| product(e_2,e_4,e_1)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_1307]),
[final] ).
cnf(c_0_2489,negated_conjecture,
( ~ product(e_4,e_2,X1)
| product(X1,e_1,e_2)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_620]),
[final] ).
cnf(c_0_2490,negated_conjecture,
( ~ product(e_5,e_1,X1)
| product(X1,e_2,e_1)
| product(e_2,e_3,e_5)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_965]),
[final] ).
cnf(c_0_2491,negated_conjecture,
( ~ product(e_2,e_4,X1)
| product(X1,e_1,e_4)
| product(e_2,e_3,e_5)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_920]),
[final] ).
cnf(c_0_2492,negated_conjecture,
( ~ product(e_5,e_3,X1)
| product(X1,e_1,e_3)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_654]),
[final] ).
cnf(c_0_2493,negated_conjecture,
( ~ product(e_1,e_4,e_3)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_250,c_0_697]),
[final] ).
cnf(c_0_2494,negated_conjecture,
( ~ product(e_2,e_5,X1)
| product(X1,e_1,e_5)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_134,c_0_1674]),
[final] ).
cnf(c_0_2495,negated_conjecture,
( ~ product(e_5,e_1,X1)
| product(X1,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_134,c_0_583]),
[final] ).
cnf(c_0_2496,negated_conjecture,
( ~ product(e_4,e_2,e_3)
| product(e_2,e_4,e_1)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_429,c_0_1307]),
[final] ).
cnf(c_0_2497,negated_conjecture,
( ~ product(e_2,e_5,e_4)
| product(e_2,e_4,e_1)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_104,c_0_782]),
[final] ).
cnf(c_0_2498,negated_conjecture,
( ~ product(e_5,e_3,X1)
| ~ product(e_2,e_3,e_5)
| product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_134,c_0_1178]),
[final] ).
cnf(c_0_2499,negated_conjecture,
( ~ product(e_2,e_3,e_5)
| ~ product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_250,c_0_1178]),
[final] ).
cnf(c_0_2500,negated_conjecture,
( ~ product(e_2,e_3,e_5)
| ~ product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_149,c_0_1178]),
[final] ).
cnf(c_0_2501,negated_conjecture,
( ~ product(e_4,e_2,X1)
| ~ product(e_2,e_3,e_5)
| product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_134,c_0_545]),
[final] ).
cnf(c_0_2502,negated_conjecture,
( ~ product(e_2,e_3,X1)
| product(X1,e_5,e_3)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_535]),
[final] ).
cnf(c_0_2503,negated_conjecture,
( ~ product(e_3,e_2,e_4)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_138,c_0_535]),
[final] ).
cnf(c_0_2504,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_1675,c_0_518]),
[final] ).
cnf(c_0_2505,negated_conjecture,
( ~ product(e_4,e_2,e_3)
| product(e_2,e_3,e_5)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_429,c_0_920]),
[final] ).
cnf(c_0_2506,negated_conjecture,
( ~ product(e_2,e_5,e_4)
| product(e_2,e_3,e_5)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_104,c_0_837]),
[final] ).
cnf(c_0_2507,negated_conjecture,
( ~ product(e_3,e_2,e_4)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_138,c_0_515]),
[final] ).
cnf(c_0_2508,negated_conjecture,
( ~ product(e_5,e_2,e_3)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_230,c_0_490]),
[final] ).
cnf(c_0_2509,negated_conjecture,
( ~ product(e_1,e_3,X1)
| ~ product(e_2,e_5,e_1)
| product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_134,c_0_1676]),
[final] ).
cnf(c_0_2510,negated_conjecture,
( ~ product(e_2,e_4,e_5)
| product(e_4,e_3,e_2)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_728,c_0_421]),
[final] ).
cnf(c_0_2511,negated_conjecture,
( ~ product(e_3,e_4,X1)
| product(X1,e_1,e_4)
| product(e_3,e_5,e_4)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_499]),
[final] ).
cnf(c_0_2512,negated_conjecture,
( ~ product(e_1,e_5,X1)
| product(X1,e_2,e_5)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_134,c_0_872]),
[final] ).
cnf(c_0_2513,negated_conjecture,
( ~ product(e_2,e_3,X1)
| product(X1,e_4,e_3)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_719]),
[final] ).
cnf(c_0_2514,negated_conjecture,
( ~ product(e_3,e_4,e_1)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_250,c_0_654]),
[final] ).
cnf(c_0_2515,negated_conjecture,
( ~ product(e_2,e_3,e_5)
| product(e_4,e_2,e_1)
| product(e_5,e_1,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1368,c_0_526]),c_0_280]),
[final] ).
cnf(c_0_2516,negated_conjecture,
( ~ product(e_2,e_4,e_1)
| product(e_4,e_2,e_1)
| product(e_5,e_1,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1368,c_0_805]),c_0_205]),
[final] ).
cnf(c_0_2517,negated_conjecture,
( ~ product(e_1,e_5,e_2)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_186,c_0_583]),
[final] ).
cnf(c_0_2518,negated_conjecture,
( ~ product(e_2,e_5,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_420,c_0_693]),
[final] ).
cnf(c_0_2519,negated_conjecture,
( ~ product(e_2,e_1,X1)
| product(X1,e_5,e_1)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_134,c_0_506]),
[final] ).
cnf(c_0_2520,negated_conjecture,
( ~ product(e_1,e_2,e_4)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_138,c_0_506]),
[final] ).
cnf(c_0_2521,negated_conjecture,
( ~ product(e_5,e_4,X1)
| product(X1,e_2,e_4)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_134,c_0_394]),
[final] ).
cnf(c_0_2522,negated_conjecture,
( ~ product(e_3,e_1,e_4)
| product(e_2,e_3,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_739]),c_0_124]),
[final] ).
cnf(c_0_2523,negated_conjecture,
( ~ product(e_2,e_4,X1)
| ~ product(e_2,e_5,e_1)
| product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_134,c_0_712]),
[final] ).
cnf(c_0_2524,negated_conjecture,
( ~ product(e_3,e_4,X1)
| ~ product(e_2,e_5,e_1)
| product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_134,c_0_692]),
[final] ).
cnf(c_0_2525,negated_conjecture,
( ~ product(e_5,e_3,X1)
| ~ product(e_2,e_5,e_1)
| product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_134,c_0_529]),
[final] ).
cnf(c_0_2526,negated_conjecture,
( ~ product(e_3,e_4,e_1)
| product(e_3,e_5,e_4)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_250,c_0_521]),
[final] ).
cnf(c_0_2527,negated_conjecture,
( ~ product(e_2,e_5,e_4)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_104,c_0_740]),
[final] ).
cnf(c_0_2528,negated_conjecture,
( ~ product(e_1,e_5,X1)
| product(X1,e_4,e_5)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_134,c_0_391]),
[final] ).
cnf(c_0_2529,negated_conjecture,
( ~ product(e_5,e_1,X1)
| product(X1,e_3,e_1)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_134,c_0_354]),
[final] ).
cnf(c_0_2530,negated_conjecture,
( ~ product(e_2,e_3,X1)
| ~ product(e_2,e_3,e_1)
| product(X1,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_134,c_0_423]),
[final] ).
cnf(c_0_2531,negated_conjecture,
( ~ product(e_3,e_1,e_4)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_83,c_0_391]),
[final] ).
cnf(c_0_2532,negated_conjecture,
( ~ product(e_5,e_1,e_3)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_214,c_0_391]),
[final] ).
cnf(c_0_2533,negated_conjecture,
( ~ product(e_5,e_1,e_2)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_290,c_0_391]),
[final] ).
cnf(c_0_2534,negated_conjecture,
( ~ product(e_1,e_5,e_2)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_186,c_0_354]),
[final] ).
cnf(c_0_2535,negated_conjecture,
( ~ product(e_4,e_3,e_2)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_149,c_0_342]),
[final] ).
cnf(c_0_2536,negated_conjecture,
( ~ product(e_2,e_5,e_1)
| product(e_2,e_3,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_609,c_0_693]),c_0_219]),
[final] ).
cnf(c_0_2537,negated_conjecture,
( ~ product(e_2,e_3,X1)
| ~ product(e_2,e_3,e_5)
| product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_134,c_0_853]),
[final] ).
cnf(c_0_2538,negated_conjecture,
( ~ product(e_2,e_3,X1)
| ~ product(e_2,e_4,e_1)
| product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_134,c_0_999]),
[final] ).
cnf(c_0_2539,negated_conjecture,
( ~ product(e_2,e_4,e_1)
| product(e_2,e_3,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_942,c_0_1677]),c_0_280]),
[final] ).
cnf(c_0_2540,negated_conjecture,
( ~ product(e_2,e_4,e_5)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_104,c_0_598]),
[final] ).
cnf(c_0_2541,negated_conjecture,
( ~ product(e_4,e_3,X1)
| ~ product(e_2,e_3,e_5)
| product(X1,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_134,c_0_526]),
[final] ).
cnf(c_0_2542,negated_conjecture,
( ~ product(e_4,e_3,X1)
| ~ product(e_2,e_4,e_1)
| product(X1,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_134,c_0_805]),
[final] ).
cnf(c_0_2543,negated_conjecture,
( ~ product(e_2,e_3,X1)
| ~ product(e_2,e_3,e_4)
| product(X1,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_568,c_0_226]),
[final] ).
cnf(c_0_2544,negated_conjecture,
( ~ product(e_2,e_3,X1)
| ~ product(e_2,e_5,e_1)
| product(X1,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_134,c_0_693]),
[final] ).
cnf(c_0_2545,negated_conjecture,
( ~ product(e_5,e_3,X1)
| product(X1,e_1,e_3)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_134,c_0_319]),
[final] ).
cnf(c_0_2546,negated_conjecture,
( ~ product(e_3,e_4,e_1)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_250,c_0_319]),
[final] ).
cnf(c_0_2547,negated_conjecture,
( ~ product(e_4,e_2,e_3)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_429,c_0_698]),
[final] ).
cnf(c_0_2548,negated_conjecture,
( ~ product(e_2,e_4,X1)
| product(X1,e_1,e_4)
| product(e_2,e_3,e_1)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_134,c_0_824]),
[final] ).
cnf(c_0_2549,negated_conjecture,
( ~ product(e_1,e_4,e_3)
| product(e_4,e_2,e_1)
| product(e_3,e_4,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1678,c_0_329]),c_0_241]),
[final] ).
cnf(c_0_2550,negated_conjecture,
( ~ product(e_2,e_3,X1)
| product(X1,e_5,e_3)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_134,c_0_304]),
[final] ).
cnf(c_0_2551,negated_conjecture,
( ~ product(e_4,e_2,e_3)
| product(e_2,e_3,e_1)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_429,c_0_824]),
[final] ).
cnf(c_0_2552,negated_conjecture,
( ~ product(e_5,e_2,X1)
| ~ product(e_2,e_3,e_5)
| product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_134,c_0_517]),
[final] ).
cnf(c_0_2553,negated_conjecture,
( ~ product(e_3,e_1,X1)
| product(X1,e_5,e_1)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_134,c_0_505]),
[final] ).
cnf(c_0_2554,negated_conjecture,
( ~ product(e_1,e_2,e_5)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_232,c_0_505]),
[final] ).
cnf(c_0_2555,negated_conjecture,
( ~ product(e_4,e_3,X1)
| product(X1,e_1,e_3)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_134,c_0_1679]),
[final] ).
cnf(c_0_2556,negated_conjecture,
( ~ product(e_3,e_4,e_5)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_280,c_0_1679]),
[final] ).
cnf(c_0_2557,negated_conjecture,
( product(e_1,e_5,e_2)
| product(e_2,e_5,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_215,c_0_1680]),c_0_1681]),
[final] ).
cnf(c_0_2558,negated_conjecture,
( ~ product(e_1,e_5,X1)
| product(X1,e_4,e_5)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_134,c_0_1680]),
[final] ).
cnf(c_0_2559,negated_conjecture,
( ~ product(e_3,e_1,e_4)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_83,c_0_1680]),
[final] ).
cnf(c_0_2560,negated_conjecture,
( ~ product(e_5,e_4,e_4)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_130,c_0_1680]),
[final] ).
cnf(c_0_2561,negated_conjecture,
( ~ product(e_5,e_1,e_3)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_214,c_0_1680]),
[final] ).
cnf(c_0_2562,negated_conjecture,
( ~ product(e_5,e_1,e_2)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_290,c_0_1680]),
[final] ).
cnf(c_0_2563,negated_conjecture,
( ~ product(e_2,e_3,X1)
| product(X1,e_5,e_3)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_134,c_0_456]),
[final] ).
cnf(c_0_2564,negated_conjecture,
( ~ product(e_3,e_5,X1)
| product(X1,e_1,e_5)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_134,c_0_386]),
[final] ).
cnf(c_0_2565,negated_conjecture,
( ~ product(e_5,e_2,X1)
| product(X1,e_1,e_2)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_134,c_0_493]),
[final] ).
cnf(c_0_2566,negated_conjecture,
( ~ product(e_5,e_2,X1)
| ~ product(e_2,e_4,e_1)
| product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_134,c_0_778]),
[final] ).
cnf(c_0_2567,plain,
( ~ product(e_4,e_2,e_3)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_142,c_0_398]),
[final] ).
cnf(c_0_2568,plain,
( ~ product(e_2,e_4,e_1)
| ~ product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_219,c_0_778]),
[final] ).
cnf(c_0_2569,negated_conjecture,
( ~ product(e_5,e_2,X1)
| ~ product(e_2,e_3,e_1)
| product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_134,c_0_1682]),
[final] ).
cnf(c_0_2570,negated_conjecture,
( ~ product(e_5,e_2,e_1)
| product(e_2,e_5,e_4) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_232,c_0_345]),c_0_346]),c_0_347]),
[final] ).
cnf(c_0_2571,negated_conjecture,
( ~ product(e_5,e_3,e_4)
| product(e_2,e_5,e_4) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_210,c_0_345]),c_0_346]),c_0_347]),
[final] ).
cnf(c_0_2572,negated_conjecture,
( ~ product(e_5,e_3,e_2)
| product(e_2,e_5,e_4) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_345]),c_0_346]),c_0_347]),
[final] ).
cnf(c_0_2573,negated_conjecture,
( ~ product(e_2,e_5,e_1)
| product(e_2,e_4,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_819]),c_0_219]),
[final] ).
cnf(c_0_2574,negated_conjecture,
( ~ product(e_3,e_5,e_2)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_72,c_0_375]),
[final] ).
cnf(c_0_2575,negated_conjecture,
( ~ product(e_3,e_5,e_2)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_72,c_0_269]),
[final] ).
cnf(c_0_2576,plain,
( ~ product(e_5,e_4,e_2)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_130,c_0_343]),
[final] ).
cnf(c_0_2577,negated_conjecture,
( ~ product(e_3,e_4,X1)
| product(X1,e_2,e_4)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_134,c_0_1683]),
[final] ).
cnf(c_0_2578,negated_conjecture,
( ~ product(e_4,e_2,X1)
| ~ product(e_2,e_3,e_4)
| product(X1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_134,c_0_226]),
[final] ).
cnf(c_0_2579,negated_conjecture,
( ~ product(e_3,e_2,e_4)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_142,c_0_169]),
[final] ).
cnf(c_0_2580,negated_conjecture,
( ~ product(e_3,e_5,e_2)
| product(e_2,e_5,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_164]),c_0_104]),
[final] ).
cnf(c_0_2581,plain,
( ~ product(e_5,e_4,e_4)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_130,c_0_84]),
[final] ).
cnf(c_0_2582,plain,
( ~ next(X1,e_1)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_1684]),
[final] ).
cnf(c_0_2583,plain,
( ~ next(X1,e_1)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_1685]),
[final] ).
cnf(c_0_2584,plain,
( ~ next(X1,e_1)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_59,c_0_1686]),
[final] ).
cnf(c_0_2585,plain,
( ~ next(X1,e_1)
| ~ product(X1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_59,c_0_1687]),
[final] ).
cnf(c_0_2586,negated_conjecture,
( ~ product(X2,X2,X1)
| product(X1,X2,X2) ),
inference(spm,[status(thm)],[c_0_134,c_0_58]),
[final] ).
cnf(c_0_2587,negated_conjecture,
~ product(e_4,e_4,e_1),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_250,c_0_1210]),c_0_121]),c_0_230]),
[final] ).
cnf(c_0_2588,negated_conjecture,
~ product(e_4,e_4,e_5),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_317]),c_0_121]),
[final] ).
cnf(c_0_2589,negated_conjecture,
~ product(e_3,e_3,e_1),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_1688]),c_0_1689]),
[final] ).
cnf(c_0_2590,plain,
~ product(e_2,e_2,e_4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_1690]),c_0_58])]),
[final] ).
cnf(c_0_2591,plain,
~ product(e_5,e_5,e_3),
inference(spm,[status(thm)],[c_0_335,c_0_58]),
[final] ).
cnf(c_0_2592,plain,
~ product(e_5,e_5,e_2),
inference(spm,[status(thm)],[c_0_278,c_0_58]),
[final] ).
cnf(c_0_2593,plain,
~ equalish(e_5,e_4),
c_0_1691,
[final] ).
cnf(c_0_2594,plain,
~ equalish(e_5,e_3),
c_0_1692,
[final] ).
cnf(c_0_2595,plain,
~ equalish(e_5,e_2),
c_0_1693,
[final] ).
cnf(c_0_2596,plain,
~ equalish(e_5,e_1),
c_0_1694,
[final] ).
cnf(c_0_2597,plain,
~ equalish(e_4,e_3),
c_0_1695,
[final] ).
cnf(c_0_2598,plain,
~ equalish(e_4,e_2),
c_0_1696,
[final] ).
cnf(c_0_2599,plain,
~ equalish(e_4,e_1),
c_0_1697,
[final] ).
cnf(c_0_2600,plain,
~ equalish(e_3,e_2),
c_0_1698,
[final] ).
cnf(c_0_2601,plain,
~ equalish(e_3,e_1),
c_0_1699,
[final] ).
cnf(c_0_2602,plain,
~ equalish(e_1,e_2),
c_0_1700,
[final] ).
cnf(c_0_2603,axiom,
next(e_4,e_5),
e_4_then_e_5,
[final] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP126-2.005 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.36 % Computer : n002.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Sun Sep 20 20:02:18 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/0.43 Running first-order theorem proving
% 0.15/0.43 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 22.35/3.84 % Version: 3.5.1
% 22.35/3.84 % Preprocessing class: FSMSSMSSSSSNFFN.
% 22.35/3.84 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 22.35/3.84 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 22.35/3.84 % Starting new_bool_3 with 300s (1) cores
% 22.35/3.84 % Starting new_bool_1 with 300s (1) cores
% 22.35/3.84 % Starting sh5l with 300s (1) cores
% 22.35/3.84 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 1578512 completed with status 1
% 22.35/3.84 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 22.35/3.84 % Preprocessing class: FSMSSMSSSSSNFFN.
% 22.35/3.84 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 22.35/3.84 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 22.35/3.84 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 22.35/3.84 % No SInE strategy applied
% 22.35/3.84 % Search class: FGHNF-FFSM00-SFFFFFNN
% 22.35/3.84 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 22.35/3.84 % Starting SubtermCWHack with 136s (1) cores
% 22.35/3.84 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 22.35/3.84 % Starting G----_404_C05_02_F1_SE_CS_SP_PS_RG_S04AI with 136s (1) cores
% 22.35/3.84 % Starting new_bool_3 with 136s (1) cores
% 22.35/3.84 % Starting new_bool_1 with 136s (1) cores
% 22.35/3.84 % G----_404_C05_02_F1_SE_CS_SP_PS_RG_S04AI with pid 1578521 completed with status 1
% 22.35/3.84 % Result found by G----_404_C05_02_F1_SE_CS_SP_PS_RG_S04AI
% 22.35/3.84 % Preprocessing class: FSMSSMSSSSSNFFN.
% 22.35/3.84 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 22.35/3.84 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 22.35/3.84 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 22.35/3.84 % No SInE strategy applied
% 22.35/3.84 % Search class: FGHNF-FFSM00-SFFFFFNN
% 22.35/3.84 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 22.35/3.84 % Starting SubtermCWHack with 136s (1) cores
% 22.35/3.84 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 22.35/3.84 % Starting G----_404_C05_02_F1_SE_CS_SP_PS_RG_S04AI with 136s (1) cores
% 22.35/3.84 % Preprocessing time : 0.002 s
% 22.35/3.84 % Presaturation interreduction done
% 22.35/3.84
% 22.35/3.84 % No proof found!
% 22.35/3.84 % SZS status Satisfiable
% 22.35/3.84 % SZS output start Saturation
% See solution above
% 22.35/3.84 % Parsed axioms : 46
% 22.35/3.84 % Removed by relevancy pruning/SinE : 0
% 22.35/3.84 % Initial clauses : 46
% 22.35/3.84 % Removed in clause preprocessing : 0
% 22.35/3.84 % Initial clauses in saturation : 46
% 22.35/3.84 % Processed clauses : 38274
% 22.35/3.84 % ...of these trivial : 28
% 22.35/3.84 % ...subsumed : 34256
% 22.35/3.84 % ...remaining for further processing : 3990
% 22.35/3.84 % Other redundant clauses eliminated : 0
% 22.35/3.84 % Clauses deleted for lack of memory : 0
% 22.35/3.84 % Backward-subsumed : 1730
% 22.35/3.84 % Backward-rewritten : 10
% 22.35/3.84 % Generated clauses : 51287
% 22.35/3.84 % ...of the previous two non-redundant : 48429
% 22.35/3.84 % ...aggressively subsumed : 0
% 22.35/3.84 % Contextual simplify-reflections : 501
% 22.35/3.84 % Paramodulations : 51135
% 22.35/3.84 % Factorizations : 0
% 22.35/3.84 % NegExts : 0
% 22.35/3.84 % Equation resolutions : 0
% 22.35/3.84 % Disequality decompositions : 0
% 22.35/3.84 % Total rewrite steps : 1076
% 22.35/3.84 % ...of those cached : 1068
% 22.35/3.84 % Propositional unsat checks : 0
% 22.35/3.84 % Propositional check models : 0
% 22.35/3.84 % Propositional check unsatisfiable : 0
% 22.35/3.84 % Propositional clauses : 0
% 22.35/3.84 % Propositional clauses after purity: 0
% 22.35/3.84 % Propositional unsat core size : 0
% 22.35/3.84 % Propositional preprocessing time : 0.000
% 22.35/3.84 % Propositional encoding time : 0.000
% 22.35/3.84 % Propositional solver time : 0.000
% 22.35/3.84 % Success case prop preproc time : 0.000
% 22.35/3.84 % Success case prop encoding time : 0.000
% 22.35/3.84 % Success case prop solver time : 0.000
% 22.35/3.84 % Current number of processed clauses : 2052
% 22.35/3.84 % Positive orientable unit clauses : 22
% 22.35/3.84 % Positive unorientable unit clauses: 0
% 22.35/3.84 % Negative unit clauses : 89
% 22.35/3.84 % Non-unit-clauses : 1941
% 22.35/3.84 % Current number of unprocessed clauses: 0
% 22.35/3.84 % ...number of literals in the above : 0
% 22.35/3.84 % Current number of archived formulas : 0
% 22.35/3.84 % Current number of archived clauses : 1938
% 22.35/3.84 % Clause-clause subsumption calls (NU) : 4201306
% 22.35/3.84 % Rec. Clause-clause subsumption calls : 897478
% 22.35/3.84 % Non-unit clause-clause subsumptions : 32983
% 22.35/3.84 % Unit Clause-clause subsumption calls : 2635
% 22.35/3.84 % Rewrite failures with RHS unbound : 0
% 22.35/3.84 % BW rewrite match attempts : 12
% 22.35/3.84 % BW rewrite match successes : 2
% 22.35/3.84 % Condensation attempts : 0
% 22.35/3.84 % Condensation successes : 0
% 22.35/3.84 % Termbank termtop insertions : 668165
% 22.35/3.84 % Search garbage collected termcells : 72
% 22.35/3.84
% 22.35/3.84 % -------------------------------------------------
% 22.35/3.84 % User time : 3.268 s
% 22.35/3.84 % System time : 0.027 s
% 22.35/3.84 % Total time : 3.295 s
% 22.35/3.84 % Maximum resident set size: 4112 pages
% 22.35/3.84
% 22.35/3.84 % -------------------------------------------------
% 22.35/3.84 % User time : 15.641 s
% 22.35/3.84 % System time : 0.262 s
% 22.35/3.84 % Total time : 15.903 s
% 22.35/3.84 % Maximum resident set size: 5120 pages
% 22.35/3.84 % E exiting
%------------------------------------------------------------------------------